s the units digit of 76744?
4
What is the hundred thousands digit of 503840?
5
What is the hundreds digit of 12152190?
1
What is the units digit of 557855?
5
What is the thousands digit of 74481?
4
What is the ten millions digit of 11430512?
1
What is the hundreds digit of 1715737?
7
What is the hundred thousands digit of 809893?
8
What is the thousands digit of 661594?
1
What is the ten thousands digit of 23671?
2
What is the tens digit of 24669?
6
What is the hundred thousands digit of 4686984?
6
What is the ten thousands digit of 198114?
9
What is the hundreds digit of 2895209?
2
What is the hundred thousands digit of 613448?
6
What is the hundreds digit of 49364?
3
What is the units digit of 636773?
3
What is the units digit of 7378942?
2
What is the tens digit of 20487943?
4
What is the thousands digit of 17814?
7
What is the ten thousands digit of 281761?
8
What is the thousands digit of 165593?
5
What is the ten thousands digit of 274783?
7
What is the thousands digit of 244409?
4
What is the hundred thousands digit of 7936748?
9
What is the ten thousands digit of 240687?
4
What is the thousands digit of 2140010?
0
What is the hundreds digit of 1861223?
2
What is the thousands digit of 10450978?
0
What is the ten thousands digit of 12488493?
8
What is the hundreds digit of 3797802?
8
What is the hundred thousands digit of 4326069?
3
What is the hundreds digit of 722831?
8
What is the hundreds digit of 250220?
2
What is the hundred thousands digit of 791559?
7
What is the millions digit of 5661378?
5
What is the tens digit of 4148069?
6
What is the tens digit of 19716?
1
What is the thousands digit of 182927?
2
What is the tens digit of 16914683?
8
What is the hundred thousands digit of 223045?
2
What is the ten thousands digit of 601777?
0
What is the ten thousands digit of 1984609?
8
What is the ten thousands digit of 6430419?
3
What is the millions digit of 25695184?
5
What is the hundred thousands digit of 4038286?
0
What is the ten thousands digit of 1226569?
2
What is the millions digit of 7451883?
7
What is the thousands digit of 5399092?
9
What is the hundred thousands digit of 27700353?
7
What is the hundred thousands digit of 14789806?
7
What is the tens digit of 1255446?
4
What is the units digit of 13046292?
2
What is the tens digit of 152239?
3
What is the hundreds digit of 510536?
5
What is the units digit of 2477639?
9
What is the hundred thousands digit of 171921?
1
What is the thousands digit of 14851458?
1
What is the thousands digit of 6106358?
6
What is the units digit of 1165?
5
What is the tens digit of 9543?
4
What is the ten thousands digit of 365342?
6
What is the tens digit of 148435?
3
What is the millions digit of 2077305?
2
What is the thousands digit of 65259?
5
What is the thousands digit of 483726?
3
What is the tens digit of 365501?
0
What is the ten thousands digit of 67247?
6
What is the tens digit of 3440408?
0
What is the millions digit of 14958074?
4
What is the ten millions digit of 11177147?
1
What is the thousands digit of 111268?
1
What is the ten thousands digit of 51583?
5
What is the thousands digit of 85941?
5
What is the thousands digit of 1041836?
1
What is the hundred thousands digit of 13404504?
4
What is the ten millions digit of 16943842?
1
What is the thousands digit of 578955?
8
What is the hundred thousands digit of 1575941?
5
What is the tens digit of 7069036?
3
What is the hundreds digit of 2264463?
4
What is the ten thousands digit of 333617?
3
What is the units digit of 590823?
3
What is the millions digit of 1406659?
1
What is the units digit of 45533?
3
What is the ten thousands digit of 801455?
0
What is the units digit of 13548555?
5
What is the thousands digit of 2386448?
6
What is the millions digit of 6055254?
6
What is the tens digit of 1605320?
2
What is the units digit of 491217?
7
What is the hundreds digit of 243134?
1
What is the hundred thousands digit of 271793?
2
What is the hundreds digit of 472245?
2
What is the units digit of 2008?
8
What is the ten thousands digit of 298832?
9
What is the tens digit of 6238215?
1
What is the hundred thousands digit of 4568760?
5
What is the tens digit of 164004?
0
What is the hundreds digit of 511799?
7
What is the thousands digit of 15925641?
5
What is the hundred thousands digit of 135728?
1
What is the units digit of 2732794?
4
What is the millions digit of 7286019?
7
What is the tens digit of 1510967?
6
What is the tens digit of 3429050?
5
What is the tens digit of 344495?
9
What is the hundred thousands digit of 6728837?
7
What is the millions digit of 1390123?
1
What is the ten thousands digit of 803318?
0
What is the units digit of 72003?
3
What is the hundreds digit of 30065?
0
What is the hundreds digit of 269993?
9
What is the tens digit of 2526661?
6
What is the hundreds digit of 514818?
8
What is the thousands digit of 3570389?
0
What is the millions digit of 9455426?
9
What is the ten thousands digit of 211275?
1
What is the tens digit of 636660?
6
What is the ten millions digit of 10277059?
1
What is the thousands digit of 98033?
8
What is the units digit of 153108?
8
What is the units digit of 163265?
5
What is the hundreds digit of 8699895?
8
What is the hundreds digit of 13926020?
0
What is the thousands digit of 269836?
9
What is the ten thousands digit of 1207638?
0
What is the ten thousands digit of 7463270?
6
What is the ten thousands digit of 3440275?
4
What is the hundred thousands digit of 1781395?
7
What is the millions digit of 1845488?
1
What is the ten thousands digit of 4153411?
5
What is the tens digit of 2066477?
7
What is the units digit of 17085542?
2
What is the units digit of 1963575?
5
What is the ten thousands digit of 37642?
3
What is the ten thousands digit of 6010866?
1
What is the hundreds digit of 533005?
0
What is the hundreds digit of 1003780?
7
What is the hundred thousands digit of 1385379?
3
What is the tens digit of 9615949?
4
What is the hundreds digit of 13071511?
5
What is the ten thousands digit of 6426704?
2
What is the units digit of 57777?
7
What is the ten thousands digit of 27392?
2
What is the thousands digit of 2593824?
3
What is the millions digit of 1212070?
1
What is the hundreds digit of 173503?
5
What is the hundreds digit of 16811648?
6
What is the hundred thousands digit of 12836153?
8
What is the units digit of 406938?
8
What is the thousands digit of 2851977?
1
What is the ten thousands digit of 10711100?
1
What is the millions digit of 1058259?
1
What is the hundreds digit of 14514284?
2
What is the millions digit of 4870253?
4
What is the ten thousands digit of 4133797?
3
What is the units digit of 962711?
1
What is the tens digit of 235356?
5
What is the thousands digit of 153281?
3
What is the thousands digit of 1400945?
0
What is the hundreds digit of 178459?
4
What is the units digit of 3932076?
6
What is the millions digit of 3872685?
3
What is the hundreds digit of 193127?
1
What is the tens digit of 6946680?
8
What is the units digit of 10049588?
8
What is the hundreds digit of 49086?
0
What is the tens digit of 117928?
2
What is the thousands digit of 130128?
0
What is the hundreds digit of 363995?
9
What is the ten thousands digit of 10715228?
1
What is the tens digit of 27263681?
8
What is the tens digit of 191386?
8
What is the tens digit of 251476?
7
What is the units digit of 4057650?
0
What is the hundreds digit of 1063852?
8
What is the millions digit of 5188031?
5
What is the ten thousands digit of 1050050?
5
What is the thousands digit of 3482005?
2
What is the tens digit of 8636763?
6
What is the hundreds digit of 6246868?
8
What is the ten thousands digit of 74859?
7
What is the hundreds digit of 590906?
9
What is the ten thousands digit of 2898472?
9
What is the ten millions digit of 10276555?
1
What is the hundred thousands digit of 7098218?
0
What is the hundred thousands digit of 6402221?
4
What is the ten thousands digit of 88916?
8
What is the hundreds digit of 1588655?
6
What is the hundreds digit of 1181807?
8
What is the ten thousands digit of 465263?
6
What is the tens digit of 3291859?
5
What is the thousands digit of 2304740?
4
What is the hundred thousands digit of 7418405?
4
What is the millions digit of 9409457?
9
What


= -0.775 - -448.775. Let c = r - 451. What is the second smallest value in -3/10, 3, c?
-3/10
Let x = -491.7 + 492. Let b = 2/177 + 344/885. What is the second smallest value in b, 1/2, 0.2, x?
x
Let r = 56.63 - 57.03. Which is the third biggest value?  (a) -2  (b) -3/7  (c) 0.02  (d) 5  (e) r
e
Let q = -192.54 + 148.54. Which is the second smallest value?  (a) -0.1  (b) 0.4  (c) q  (d) -1/4  (e) 3/11
d
Let s = 0.066 - 0.286. Let m = s - -0.52. Which is the second biggest value?  (a) m  (b) 27  (c) 3
c
Let v = 19829 - 19834. Which is the fifth smallest value?  (a) 2/55  (b) 0.1  (c) v  (d) 1  (e) -9
d
Let j = -0.46805 + 0.06805. Let p = -0.08 - 3.92. What is the biggest value in 10, p, j?
10
Suppose 0 = -5*j - 2*q - 31, -3*q + 7 = 5*j + 41. Let m = 1.83 - -0.17. Which is the second smallest value?  (a) j  (b) -8  (c) 1  (d) m
a
Suppose 0 = g - 3*r + 15 + 17, 3*r = 6. Let m = -71 - -76. What is the second smallest value in g, m, 0.1?
0.1
Let k = -0.19 - -0.62. Let b = -0.13 + k. Let y = -1362.5 + 1362. What is the second biggest value in 1/7, b, 0, y?
1/7
Let j = 2/13 - 49/65. Let g be ((-2 - 1)/(-12))/((-3)/(-36)). Suppose g*s - 2*z + 10 = 0, 7 - 32 = -s - 5*z. What is the second smallest value in j, 4, s?
s
Let x = 11582.1 - 11582. What is the second biggest value in -0.057, x, -2?
-0.057
Let f = 0.08182 + -0.19182. Which is the biggest value?  (a) 5  (b) f  (c) 1/8  (d) 1
a
Let w be 1 - (1 + 21/7 + -3). What is the third smallest value in -1/4, w, -1, 2?
w
Let w = 239.711 + -240. Let k = 0.089 + w. What is the second biggest value in k, -17, -1, 2/7?
k
Let x be ((-2)/(-2))/((-10)/30). Let w = -841 + 841.5. Which is the smallest value?  (a) x  (b) w  (c) 0.3  (d) 0
a
Let d = 0.6627 + -1.5627. Which is the second biggest value?  (a) -1.05  (b) -2  (c) d
a
Let s be (-3)/(-14)*(-4)/3. Let z = -194 - -196. Suppose 0*o = z*u + o + 5, 0 = 3*u - o. Which is the third biggest value?  (a) -4  (b) s  (c) u
a
Let j = 16733 - 16733.2. Which is the second biggest value?  (a) -42/17  (b) j  (c) 0.1
b
Let r be (-2)/(-40)*-6*170/(-136). Suppose g + 2*g + 3*v - 24 = 0, -3*g + 3*v = 0. Which is the second smallest value?  (a) -0.21  (b) g  (c) r
c
Let l = -1449 - -1448. Which is the second biggest value?  (a) -2.3  (b) l  (c) 5  (d) 0.07
d
Let p = -2.47 + 2.382. Let q = p - 0.912. Suppose 4*m - 12 = -4*s + 3*m, 4*m = 16. Which is the third smallest value?  (a) s  (b) -2  (c) -0.2  (d) q
c
Suppose -30*u = -31*u + 4. Suppose -8*j - 16 = v - u*j, 2*v - 5*j - 33 = 0. What is the smallest value in -0.2, 17, v?
-0.2
Suppose -53*r = -38*r - 225. Suppose 0 = 4*j - 2*h + 15 + r, -5*j = -4*h + 45. Which is the biggest value?  (a) 1/2  (b) 1/3  (c) j
a
Let v = -1062067/11757 - -6/3919. Let g = v - -90. What is the biggest value in -6, -1, g, 4/3?
4/3
Let o = -3928 + 3928.3. Which is the third smallest value?  (a) o  (b) -2/17  (c) 2.5  (d) -9
a
Let k = -109 - -104. Suppose 4 = 3*h - 7*h. Which is the third smallest value?  (a) 0.2  (b) h  (c) k
a
Let a = 353 + -352. What is the third smallest value in a, 3, 80?
80
Let q = -35.068 - -35. Let r = q + -0.032. Let v be 21/34 - (-1)/(-2). Which is the fourth biggest value?  (a) -1/4  (b) -0.4  (c) v  (d) r
b
Let i = 214 + -220. Which is the smallest value?  (a) i  (b) -2  (c) -0.06  (d) 3
a
Let d = -512 - -509.17. Let i = -3.83 - d. Which is the second smallest value?  (a) i  (b) -3  (c) -13
b
Let s = 1291/27 + -6437/135. What is the biggest value in s, -25, 2/25?
s
Let o = 3460 - 3465. Which is the second biggest value?  (a) -343  (b) 3  (c) o
c
Let h = 4.5 - 42.5. Let n = -37.6 - h. Which is the second biggest value?  (a) n  (b) 1  (c) -6/13  (d) -4/5
a
Let v = -1 + 2. Let i be (6/15)/(3/(-5)). Let n = -127121 + 127126. What is the smallest value in i, v, -5, n?
-5
Let u = -6216.6 - -6193. What is the second smallest value in u, 0, -2/7?
-2/7
Let u = -12654 - -25303/2. Which is the fourth biggest value?  (a) u  (b) -2/3  (c) 27  (d) -0.5  (e) 1
b
Suppose m + 1 + 8 = 0. Let d = 37690.9391 - 37687. Let s = 0.0609 + d. What is the smallest value in -1, s, m?
m
Let v = -3.428 + 4.428. Which is the biggest value?  (a) -1  (b) v  (c) 0.1  (d) -13/2
b
Let w be 81/21 - (-1 + 5). Let r = -71 + 70. Which is the fourth smallest value?  (a) w  (b) -0.4  (c) r  (d) 1
d
Let k = -260.6 - -261. Which is the third biggest value?  (a) k  (b) 1  (c) -1  (d) 0.1
d
Let j(a) be the third derivative of a**4/4 - 59*a**3/6 - a**2 + 10. Let h be j(9). What is the second smallest value in -21, h, 3/2?
h
Let s = -301/1780 + -36/445. Which is the third smallest value?  (a) s  (b) 2  (c) -299  (d) -5
a
Let r = 58 - 208. Let x = r + 150.5. What is the smallest value in -2, x, -1/3?
-2
Suppose 0 = 25*s - 21 + 121. Which is the second smallest value?  (a) s  (b) 2/17  (c) -128
a
Let g be 4717/(-8099) - (-8)/52. Which is the second smallest value?  (a) 92  (b) 3  (c) 4  (d) g
b
Let w = -7574/3 + 2520. What is the fifth smallest value in -1/4, 3/5, 2, w, 1/10?
2
Let x = 2.5 + 15.7. Let d = 382.17 + -383.17. Which is the smallest value?  (a) x  (b) d  (c) 0.2
b
Let n be -49 - (-3 - (-4)/1). Let s = n + 199/4. Let k = 2.5 - 4.5. Which is the second biggest value?  (a) k  (b) s  (c) 0.06
b
Let r be (8217/(-1188))/(0 - (-1)/(-4)). What is the smallest value in -2/5, r, -3/7?
-3/7
Let m = -383 + 174. Let v = m + 212. What is the third biggest value in -0.2, v, -3/7?
-3/7
Let v = 0.03 + 0.37. Let k = -179 - -182. Suppose -7*s + 5*s = -5*w - 15, -3*s + 9 = -k*w. Which is the smallest value?  (a) -6  (b) -0.3  (c) s  (d) v
a
Let t = 0.23 + -0.05. Let n = t + 0.12. Let z = -14.56 + 14.66. What is the smallest value in z, n, 1/4?
z
Let y(r) = 3*r - 4. Let i be y(3). Let w = 64 + -91. Let j = -31 - w. What is the fourth smallest value in -1/5, i, j, -3?
i
Let g = -62.02 + 62. Suppose z + 3 = -4*v, 4*v = 6*v + 2*z. Let j(b) = b**3 + b**2 + b + 2. Let a be j(-2). What is the third biggest value in g, v, a?
a
Let z = -2.32 - -387.32. Let r = -387 + z. What is the third biggest value in -8, 7, r?
-8
Let l = 20.75 + -21.45. Let q be (-6)/(-21) - 183/(-21). What is the biggest value in q, l, 3/5?
q
Let h = -786 + 821.5. Let m = -35.9 + h. Which is the fourth smallest value?  (a) m  (b) -2/23  (c) 0.4  (d) -3
c
Let c(v) = v**3 + 6*v**2 + 3*v + 17. Let g be c(-6). Let u = -245 + 249. What is the fourth biggest value in -0.3, g, 6, u?
g
Let p = 339 + -338.8. Which is the smallest value?  (a) -4  (b) 0.08  (c) 1/3  (d) p
a
Let d = -214/161 - -352/161. Which is the biggest value?  (a) -4  (b) -234  (c) d
c
Let s(y) = -2*y**3 - 78*y**2 + 1228*y - 43. Let k be s(12). Let f(b) = b - 2. Let d be f(1). What is the third biggest value in 0.4, k, d, 4/3?
0.4
Let c = 1644.1 + -1644. Let b = -6 + 7. What is the biggest value in c, 3, b?
3
Let q = -1 - -0.8. Let o = -0.7 - q. Let n = -61.5 + 62. What is the fourth biggest value in n, -1, o, -0.1?
-1
Let t = -2624 - -2621. Which is the second smallest value?  (a) 0.3  (b) 24  (c) t
a
Let o = -664 - -1054. Let c = o - 395.38. Let s = c - -0.38. What is the biggest value in -3, s, 2, -2/21?
2
Suppose 0 = 15*h + 38*h - 212. Let c = 23.9 - 25. What is the second biggest value in c, -2, 2, h?
2
Let i = 3 + -2.9. Let o = -38 + 37. Let n = o + -1. Which is the smallest value?  (a) 0  (b) -3  (c) n  (d) i
b
Suppose 0 = y + 3*m + 166, 3*y + 5*m + 199 = -279. Let k = 154 + y. Let q = -200 - -605/3. Which is the second smallest value?  (a) q  (b) k  (c) -1
a
Let y = -15483.001 + 15483. What is the third smallest value in y, 2, 37?
37
Let k = -1/12242 - -3061/6121. Let w(y) = 2*y**3 + y**2 - 1. Let v be w(1). Which is the smallest value?  (a) v  (b) k  (c) 2/5  (d) -0.1
d
Let x = 61916/5 + -12385. What is the fourth biggest value in x, 2, -1, 3?
x
Let p = -5604 + 5605.9828. Let v = -0.0172 - p. Which is the second smallest value?  (a) 4  (b) -0.4  (c) -7  (d) v
d
Let w = -0.309 - 71.191. Let q = w - -71. Let m = 8 - 7. Which is the second biggest value?  (a) m  (b) q  (c) -2
b
Let q = 11.9 - -1.4. Let t = -13.265 + q. What is the second biggest value in -0.2, -4, t?
-0.2
Let q be (-144 - -147 - (-1 + 6)) + -8. Which is the biggest value?  (a) 9  (b) 0.36  (c) q
a
Let h = -66 + 64.9. Let c = h - -1.06. What is the third smallest value in 2, c, -4?


 = -129*z**3 + 3*z**2 + 2*z - 2. What is the least common multiple of g(-2) and 14?
7266
Let u(f) = -40*f - 146. Calculate the smallest common multiple of 4 and u(-5).
108
Let o = -5505359/119 + 46264. Find the common denominator of o and -13/7.
119
Suppose 0 = 3*v - 8*v - 2*s + 124, 0 = 2*s - 4. Calculate the lowest common multiple of v and 96.
96
What is the common denominator of -37/2 and (198/(-9933))/(20/7)?
430
Let j(a) = -318*a - 3. Calculate the least common multiple of j(-1) and 270.
1890
Let l = -15191 - -243141/16. Let g = -600 + 2339/4. Find the common denominator of g and l.
16
Suppose -3*h - h + 5*w + 1032 = 0, 3*h + 3*w = 774. What is the smallest common multiple of h and 51?
4386
Suppose q - 5*q - g = -471, 3*q - 377 = 4*g. Find the common denominator of -17/22 and (43/(-8))/(5 - q/28).
66
Let b be 1/(-6) + 161043/54. Let x = -2974 + b. Let j = 1057/2 - 567. Find the common denominator of x and j.
18
Find the common denominator of 87/8 and 708/24 - -10 - (-1 + -4).
8
Suppose -4*w + 3*q - 591 = 0, 6*w - 453 = 9*w + q. What is the common denominator of 1/(-3) + 1/(w/(-206)) and 81/8?
200
Let g = 405 - 377. Calculate the lowest common multiple of g and 32.
224
Suppose 8 = 3*f + 2. Find the common denominator of -55/18 and f/1 - 1587/920.
360
Suppose -6*q + 490 = q. Calculate the smallest common multiple of q and 7.
70
Let y = -12503/10 + 1239. Find the common denominator of y and ((-1254)/1089)/((-2)/(-6)).
110
Let k be ((-12)/9)/(2/(-12)). Let h = 25 + k. What is the smallest common multiple of 27 and h?
297
Let q = 313 + -1265/4. Calculate the common denominator of (0 + 2/(-4))*340/(-64) and q.
32
Find the common denominator of (12/14)/(123/154) and 65/8.
328
Calculate the lowest common multiple of -10 + (49 - (-2 + -3)) and 228.
2508
Suppose -3*r = 4*w - 12, -w = -r - 5 + 2. Suppose -64 = w*u + u. Calculate the common denominator of (-42)/u + 2 + -3 and -1/9.
72
Let w be ((-185)/30)/(2/(-915)). Let j = -2802 + w. What is the common denominator of j and 1551/(-484) + (-1)/(-4)?
44
Suppose -8*n - 34 = -4*w - 3*n, -3*n - 49 = -5*w. Suppose 3*v = 6 - 0. What is the smallest common multiple of w and v?
22
Let b(s) = -39 - 50 + 32 + 5*s. What is the least common multiple of 3 and b(12)?
3
Let a(w) = -10*w + 28. Let c be a(6). Let r = c + 38. Calculate the lowest common multiple of 27 and r.
54
Suppose 2 = 5*h - 13. Suppose 2*t - 20 = -4*g, -h*g = -4*g - 2*t + 8. Calculate the least common multiple of g and 2.
4
Suppose 2*t = -30 - 22. Suppose 2*y - 2*x = 10, -5*x - 20 = -2*y - 1. Find the common denominator of -5/3 and y/t*(-7)/(-7).
39
Suppose w - 2 = 3. Suppose k = -2*u + 12, 0*k - w*u = -4*k + 61. Calculate the common denominator of -49/10 and (k/175)/((-8)/290).
10
Suppose s = -2, -2*j - 3*s + 42 = j. Let l = -40 - -20. Let u = l - -36. What is the lowest common multiple of u and j?
16
Suppose 11*c = 12*c - 14. Let y(z) = 2*z**2 - 2*z - 4. Calculate the lowest common multiple of c and y(6).
56
Suppose -5*w - 2*i = 350, 0*i - 2*i = -w - 82. Calculate the common denominator of 2/(-9) + (-853)/w and (558/(-8))/((-3)/2).
8
Let o be (115/(-10))/(2/(-23)). Let u = 135 - o. Calculate the common denominator of 2/6 - (-43)/(-2) and u.
12
What is the common denominator of 636/(-112) - (-7 + 2) and -47/20?
140
Let q = 81 + -37. Let n(d) = -d + 8. What is the least common multiple of n(4) and q?
44
Let w(h) = -3*h**2 - 26*h + 33. Let m(f) = -2*f**2 - 25*f + 33. Let t(v) = 4*m(v) - 3*w(v). Calculate the lowest common multiple of 3 and t(21).
12
Let h be (-58)/(-165) - 3/9. Let t = h - -24/55. What is the common denominator of t and 38/7?
77
Let b = 15 + -11. Calculate the smallest common multiple of 32/(-3)*(24*-3)/6 and b.
128
What is the common denominator of 33/(-231) - 503/840 and 31/22?
1320
Let t = 18/2933 + -96611/926828. What is the common denominator of -1/40 and t?
3160
Let g = -276/565 - -164363/323745. What is the common denominator of 97/18 and g?
3438
Let k = -36 + 54. Let x be 1/3 + (-49945)/k. Let y = -2767 - x. What is the common denominator of -99/20 and y?
180
Let q be 3 + (3 - (6 + -3)). Suppose g + 16 = -q*p, -p + 1 + 1 = 4*g. Calculate the lowest common multiple of ((-81)/p)/(15/20) and 2.
18
Suppose 12*y - 8320 = 20*y. What is the smallest common multiple of 2 and -1*3*y/60?
52
Let d = 11 + -31. Let w = d - -29. What is the smallest common multiple of w and 13?
117
Let n be 14 - (-1 - ((-2 - 2) + 2)). Calculate the least common multiple of 9 and n/((15/(-10))/((-3)/2)).
117
Let c(m) = 5*m + 10. Let p be c(-7). Let n = -18 - p. Suppose l + 1 = 2*w - 2*l, 2*w = -l + 13. Calculate the least common multiple of w and n.
35
Suppose -3*q + 4*f = 788, 0 = -2*q + 4*f - 5*f - 529. Calculate the common denominator of 2 - q/32*10/(-6) and 11/10.
20
Suppose 135 = 4*q + 87. Calculate the least common multiple of 74 and q.
444
Suppose 0 = 25*p - 30*p + 25. Suppose -4*r + p*n - 41 = -128, -r - 4*n = -6. Calculate the least common multiple of 2 and r.
18
Let h = 1/83621 + -14466461/2341388. Let n = h + 1681/84. What is the common denominator of n and 41/92?
276
Let v be (-30)/(-4) + -4 + (-7)/(-2). Suppose v*u - 14 - 14 = 0. What is the smallest common multiple of u and (-5)/(1 + 0 + -2)?
20
Let k(h) = -h**3 - 7*h**2 + 9*h + 18. What is the smallest common multiple of k(-8) and 33?
330
Let b = 379/9 + -1363/36. What is the common denominator of (65/6)/(0 + -1) and b?
12
Suppose -4*v = 5*z - 7*v + 551, 0 = -z - 2*v - 118. Calculate the smallest common multiple of 18 and (21/4)/((-42)/z).
126
Let j(l) = l**2 - 18*l + 38. Let u(v) = -5*v - 34. Let k be u(-10). What is the smallest common multiple of j(k) and 9?
18
Let l(o) = -10*o**2 + 1 - 3 - 8 + o**3 + 2 + o. What is the smallest common multiple of 86 and l(10)?
86
What is the common denominator of -31 and ((1/(-4))/(-1))/((-18)/(-459))?
8
Suppose -37 = -19*m + 115. Suppose 0 = -10*t + 5*t + 30. What is the least common multiple of t and m?
24
Let m = 101 - 59. Suppose -4*s - 4*c + 57 = -5*c, 3*s - c = m. Calculate the common denominator of (50/s)/((-24)/153) and 31/20.
20
Let d(x) = -5*x + 3. Let h be d(-5). Let q = h + -14. What is the common denominator of ((-1001)/(-88))/(2 + -7 + 4) and q?
8
Suppose 4*o - 8 = 0, -4*b - 123*o + 50 = -122*o. What is the smallest common multiple of 8 and b?
24
Let b = 2 + 0. Find the common denominator of 29/4 and (-3)/(-120)*41/b.
80
What is the lowest common multiple of (-2 + -1)/(8 + (-6795)/846) and 7?
658
Find the common denominator of 47/18 and (-16)/(-24) - (-1)/4.
36
Let o = 46 - 28. Let m be (36/16)/((-6)/16). Calculate the least common multiple of o and (12/(-1))/(m/4).
72
Suppose 3*p + 4*k - 6*k = 13, p = -k - 4. What is the smallest common multiple of p and 1?
1
Let o be (-6)/10*428/48. Let u = -31/10 - o. Calculate the common denominator of u and (1/(-3)*-59)/2.
12
Let b = 27 - 98. Find the common denominator of 65/6 and 1/(b/62 + 1).
18
Let k(z) = 5*z - 34. Let c be k(0). Let w = -13 - c. What is the least common multiple of 10 and w?
210
Let t be 18/(-4)*8/(-12). Let p be 1/(t*2/156). Let m = 13 - p. Calculate the common denominator of m and -52/3.
3
Let h = -458 - -498. What is the least common multiple of 200 and h?
200
Let f = 828 + -4118/5. Find the common denominator of -49/9 and f.
45
Let m(y) = -2*y + 9. Let s be m(18). Let x = -6 - s. Calculate the smallest common multiple of 30 and x.
210
Let r = -41 + -22. What is the common denominator of (-2062)/(-92) - (-40)/460 and r/(-54)*(-18)/10?
10
Let j = -1 - -4. Suppose -y + 1 = 2. Let g = 9 + y. What is the least common multiple of j and g?
24
Find the common denominator of -3/536 and (-7)/440*-214 - 450/(-825).
2680
Let a = 1936/3 + -638. Let m = -115333/30 + 3845. Calculate the common denominator of m and a.
30
Let g = 382 - 1896/5. Find the common denominator of 167/84 and g.
420
Suppose 2*k + w - 31288 = -2*k, 4*w = -2*k + 15630. Let d = 109593/14 - k. Calculate the common denominator of d and -83/20.
140
Let p = -10955885189/961460 + 104/240365. Let r = 11392 + p. Calculate the common denominator of -89/8 and r.
40
Let z = -3122521/21490 + 5084/35. Find the common denominator of z and -64/3.
1842
Calculate the common denominator of 64/15 and (-1)/45*13 + (-9)/9.
45
What is


 = 102 - 96. What is the least common multiple of q and 11?
66
Let j be (9/(-4))/((-12)/(-224)). What is the smallest common multiple of 11 and j/(-5) + 4/(-10)?
88
Let u be 573/(-27) + (-2)/(-9). Find the common denominator of u/70*250/(-12) and 43/9.
36
Let a = 41 + -21. Suppose -3*v + a = u, 2*v + 4*u = 7*v - 56. Suppose -k - 4*f = -0*f, f = 2*k - 9. Calculate the lowest common multiple of v and k.
8
Find the common denominator of 33/7 and 31*(1 - 0)/(-4).
28
Let v(m) = -m + 12. Let j be v(0). Suppose -u - j = -2*u. What is the smallest common multiple of u and 10?
60
Let l = -20353365143/1154660 + 31/288665. Let n = -17621 - l. Calculate the common denominator of -25/12 and n.
60
Suppose 5*i = 3*h - 12, 20 = 3*i + 6*h - h. Suppose y + i*y = 20. What is the common denominator of -39/14 and (2/y)/(8/(-530))?
56
Let u = -6 - -6. Suppose v + 4*x + 38 = u, 5*x - 63 = -2*v + 5*v. Calculate the common denominator of 76/9 and (v/(-8))/((-2)/20).
18
Suppose 4*d - 63 = -n, -2*n + 0*n = -3*d + 50. What is the lowest common multiple of 8 and d?
16
Suppose -6*b = -0*b - 96. Let z(p) = -3*p**2 - p + 1. Let d be z(2). Let y = d + 29. Calculate the lowest common multiple of b and y.
16
Suppose 225 = -0*j + 5*j. Calculate the smallest common multiple of j and 5.
45
Let a(i) = -5*i - 3. Let x(n) = 14*n + 10. Let w(h) = -8*a(h) - 3*x(h). Calculate the lowest common multiple of w(-4) and 4.
4
Let o(i) be the first derivative of -i**4/4 - 7*i**3/3 - 3*i**2 + 8*i + 3. Calculate the smallest common multiple of 5 and o(-6).
40
Calculate the common denominator of (12/15)/(6/15) and -63/2.
2
Let i = -7 + 9. Calculate the smallest common multiple of 4 and i.
4
Suppose 2*g - 6 = 38. Let i = 14 - -6. Calculate the lowest common multiple of g and i.
220
Let z = -54 + 60. What is the smallest common multiple of 1 and z?
6
Let t = 110321/18 - 6123. Let l = -211/70 + -23/7. Calculate the common denominator of l and t.
90
Let z = 30 - 26. Calculate the lowest common multiple of z and 13.
52
Let i(q) = 3*q**2 + 19*q - 15. What is the smallest common multiple of 21 and i(-9)?
399
What is the lowest common multiple of 2 and (1 - 1) + 12 + -8?
4
Let l = 6 - 1. Suppose -3*g + l = -5*r, -5*g - r = -4*r - 19. What is the smallest common multiple of g and 6?
30
Let c be -6*3/(-12)*2. Let o(h) = h**3 - 3*h**2 + 3*h + 2. What is the least common multiple of 9 and o(c)?
99
Let c(g) = 9*g. Let a be c(5). Find the common denominator of -16/7 and 1 - (a/(-11))/(-3).
77
Calculate the common denominator of 14/(-20)*52/(-8) and -149/24.
120
Let z = -4124 - -45308/11. Calculate the common denominator of 53/3 and z.
33
Let m(q) = 5*q**2 + 3*q - 1. Calculate the lowest common multiple of 1 and m(-5).
109
Let d = 0 + -2. Let t be d/3*(-13506)/4016. Let u = -2/251 - t. Find the common denominator of u and -67/18.
36
Let g = 15 - 25. What is the lowest common multiple of g/(-2) - 0/2 and 3?
15
Suppose 0 = 5*g + 5, -2*a - 5*g - 20 = -7*a. Suppose -a*j + 0*j = 18. Calculate the lowest common multiple of 12 and (-1)/j - 107/(-6).
36
Let i = -1/888 - 1609/444. Find the common denominator of i and -23/34.
136
Let q = -21/74 - -1341/814. Calculate the common denominator of q and 16.
11
Let b be (-3)/(-3 + 0) + 1. Calculate the common denominator of b/15*195/12 and (-4)/6 - (-74)/12.
6
Let b(x) = x**3 + 7*x**2 - 4*x - 24. What is the lowest common multiple of 24 and b(-7)?
24
Let y = -47657/33 - -1444. Find the common denominator of 71/12 and y.
132
Calculate the common denominator of 7/16 and (-21)/4 - 26/(-130).
80
Let d = -6 + 7. What is the lowest common multiple of d and 2?
2
Let n = 1/148 + -2227/1036. What is the common denominator of -2/11 and n?
77
Let d(o) = -o**3 + 21*o**2 - o + 29. Calculate the lowest common multiple of d(21) and -1 - (-7 - -1) - 1.
8
Calculate the common denominator of -7 - -7 - 43/(-6) and 37*(2/10 - 1/2).
30
Let z(g) = 10*g - 3. Calculate the lowest common multiple of z(1) and 1.
7
Suppose 0 = -4*l - 21 - 11. Let o(r) = r + 10. What is the lowest common multiple of o(l) and 6?
6
Let d = -9157/8 + 1148. Find the common denominator of (-2)/7 + 297/(-14) and d.
8
Suppose -3*o + 13 = -20. Suppose -3 = 4*a - o. What is the least common multiple of 8 and a?
8
Calculate the common denominator of 1855/(-1652) + ((-21)/4)/(-7) and 99/8.
472
Calculate the common denominator of -2*(-52)/(-44)*2 and (-1 + 183/18)/1.
66
Let k be 0 + (1 - (-3758)/4). Let b = 904 - k. What is the common denominator of -69/8 and b?
8
Let h = -15 + -39. Find the common denominator of (453/h)/(-1 - -2) and -11/10.
90
What is the common denominator of -1/14 and ((-18)/48)/(15/38)?
140
Let x = -1/3832 - 7423/5748. Find the common denominator of x and 31/18.
72
Let m(l) = l**2 + 10*l - 3. Let k be m(-9). Let u = k - -21. Suppose 0 = 3*f + 5*s - 24, 4*f + 2*s + u = 41. Calculate the lowest common multiple of 4 and f.
8
Let m = -6 - -4. Suppose 3*l + 9 = -0. Find the common denominator of -113/18 and (107/15)/(m/l).
90
Let l = -181616/176085 + 951/559. Let o = l + -4/35. Find the common denominator of 35/8 and o.
72
Let z = 91 + -86. Suppose 2*o = 4*d - 40, 0 = 2*d + o + 4*o - 20. What is the least common multiple of z and d?
10
Suppose 0*s + 5*s = 0. Suppose 4*k = -2*w - s*w + 6, -2*k - 52 = -4*w. Calculate the smallest common multiple of 8 and w.
88
Suppose -d = d - 38. Let k = -10 + d. Suppose 2*n + 2*v - 6 = 0, 6*v + 1 = 3*n + v. What is the lowest common multiple of n and k?
18
What is the common denominator of -1*(548/(-24) + 1) and 75/8?
24
Let f = -8955/4 + 2221. Calculate the common denominator of ((-62)/3)/((-10)/6) and f.
20
Let k = -1396/43 + 93707/2795. Let a = k + -3676/585. Find the common denominator of a and 4/3.
9
Let d(k) = k**2 - k + 2. Let i be d(0). Calculate the common denominator of i + 69/24 - 0 and -11/9.
72
Let i(j) = -6*j - 8. What is the smallest common multiple of i(-3) and 4?
20
Let w = 56647/40734 - 4/2263. Calculate the common denominator of 19/16 and w.
144
Let k = 42 + -30. Calculate the lowest common multiple of 10 and k.
60
Suppose -4*c - 1 = 3*g - 6, -g - 3*c = 0. Calculate the smallest common multiple of g and 1.
3
Let k = -7 + 11. Let u be (4/(-5))/((-1)/5). Suppose -3*d = -38 - u. What is the lowest common multiple of k and d?
28
What is the least common multiple of (0 + 1)*2 - 0 and 18?
18
Let r be (279/(-189))/(16/(-906)*11). Let s = -290/693 + 4/9. Let a = r + s. Find the common denominator of a and 51/2.
8
What is the common denominator of 3/(-4) + 177/4 + 4 and 38/(-8) - 0 - 0?
4
Suppose -3*p = 22327 - 8629. Let z = p + 91377/20. Find the common denominator of (-18)/10*(-104)/(-96) and z.
20
What is the common denominator of 770/390 - (-2)/(-2) and 55/12?
156
Let q be 19/2*(3 - 1). Let u = q - 40. Calculate the lowest common multiple of 12 and (-9)/(-15) - u/15.
12
Let j = 6 - 7. What is the common denominator of 3 + (-126)/16 + j and 6/4*79/9?
24
Suppose -5*a + 71 = 5*v - 14, v - 2*a - 26 = 0. What is the lowest common multiple of v and 14?
140
What is the common denominator of (4 + 2)/(-2) - 198/(-28) and -65/22?
154
Let w = 52 + -26. Find the common denominator of 55/3 and (2 + -1)/(2/w).
3
Let s = -14 - -28. Suppose 15*n - 21 = 12*n + w, 4*w + 12 = 0. Calculate the lowest common multiple of n and s.
42
Suppose 4226 = 5*k + 2*q, 4*k + 4*q - 1242 = 2134. Let c = 4193/5 - k. Find the common denominator of c and 68/(-22) + 2 - -2.
55
Let b be -3 + -15*2/(-3). Suppose -5*k + b = -23. Find the common denominator of (-4)/k + 471/(-90) and 21/4.
20
Calculate the common denominator of 97/4 and (-5)/(5/3) - 15/(-8).
8
Let a be 21/15 + 2/(-5). Suppose -m - a = -0. Calculate the common denominator of 38 and (58/(-5))/(m + 3).
5
Let i = -9067/386 - 2/193. What is the common denominator of -24/7 and i?
14
Calculate the lowest common multiple of (-160)/30*(2/4 + -2) and 2.
8
Suppose 3*n = -0*n + 27. Suppose 12 = -0*b + 2*b. Calculate the lowest common multiple of b/(-4)*2*-3 and n.
9
Let p = 17067 + -13022116/763. Let v = p - -106027/4578. Calculate the common denominator of -83/10 and v.
30
Let f = -18 + 31. Suppose -5*b + 173 = 2*o, -2*b + 3*b + 2*o = 33. Let a = b - f. Calculate the smallest common multiple of a and 10.
110
Let s(d) = d**3 + 9*d**2 - d + 1. Calculate


at is the remainder when 40 is divided by (-21)/56 - 59/(-8)?
5
Let i(o) = 20*o - 2. Let q be (2 - -1)/(1/1). Suppose 1 - q = -m. Calculate the remainder when i(m) is divided by 13.
12
Let s(j) = j**3 - 3*j**2 - 3. Let b be s(4). Let q = -4 + b. What is the remainder when q is divided by 4?
1
Let x(r) = r**3 - 4*r**2 + 6*r - 4. Calculate the remainder when 59 is divided by x(4).
19
Let n(t) be the third derivative of -t**6/120 - t**5/60 + t**4/6 + t**2. What is the remainder when n(-3) is divided by ((-8)/6)/(5/(-15))?
2
Suppose 2*y - 4*d = 6, y + 3*d - d = 3. Suppose y*k - 123 = -0*k. Let c(u) = 3*u - 4. What is the remainder when k is divided by c(6)?
13
Let w = 2 + 23. Suppose 4*i - 12 = 8. Suppose -i*l = -15 - w. What is the remainder when 22 is divided by l?
6
Let m = 14 + 23. Let v = m - 20. What is the remainder when v is divided by -2*9/(-6) - 3*-1?
5
Suppose -2*o + 23 = -0*j + 3*j, -5*o + 5 = 0. Let t = 9 - j. Calculate the remainder when 1 + 2 + (-2)/(-2) is divided by t.
0
Suppose -4*h + 2 + 14 = 0. Suppose h*z + 8 = 64. Suppose c + 14 - 42 = -3*q, -2*c = -5*q - 100. Calculate the remainder when c is divided by z.
12
Let v = 4 + -3. Let h be 34/9 + (-2)/(-9). Suppose h*j + 5*u = -11, -3*j + 4*u - u + 12 = 0. What is the remainder when j is divided by v?
0
Suppose 3*q = 169 + 56. Suppose -4*u - q = -9*u. Calculate the remainder when u is divided by 8.
7
Let g(c) = 9*c**2 - 6*c - 4. Let b(i) = i**2 - i - 1. Let s(d) = 5*b(d) - g(d). Let o be s(1). Calculate the remainder when 22 is divided by 52/6 - o/(-6).
6
Let x(w) = -5*w**3 + 1. Let c(t) = 2*t**2 + 7*t + 2. Calculate the remainder when c(-5) is divided by x(-1).
5
Suppose -11*s + 324 = 104. What is the remainder when s is divided by 2?
0
Suppose -337 = -5*g + k, -325 = -5*g - 3*k + 8*k. What is the remainder when g is divided by 14?
12
Let n(v) = -v**2 - 8*v - 7. What is the remainder when 12/(-10) + (-9)/(-45) - -22 is divided by n(-5)?
5
What is the remainder when 29 is divided by -8*((4 - 3) + -3)?
13
Let t = 31 - -5. Calculate the remainder when t is divided by 11.
3
Let c(j) = -24*j + 2. What is the remainder when c(-1) is divided by 7?
5
Suppose 5*j = -2*x - 0*x + 241, 0 = -4*j + 5*x + 173. Calculate the remainder when j is divided by 12.
11
Suppose 13 = 4*m + 3*w, 4*m - 3*m + 3*w = 10. Let n(a) = -3*a - 12. What is the remainder when (45 - 2)*(m - 0) is divided by n(-9)?
13
Let o(w) = -4*w**2 + w + 1. Let p be o(-1). Let u(a) = 3*a**2 + 4*a - 6. Calculate the remainder when u(p) is divided by 7.
5
Let i be -6*-50*(2 + -1). Suppose 2*a = 5*s + a - i, -s + 4*a + 41 = 0. Let r = 96 - s. Calculate the remainder when r is divided by 12.
11
Let f(n) = n**3 - 3*n**2 - 2*n + 4. Let l(p) = -p**2 - 8*p - 8. Let o be l(-6). Suppose -o*s = s - 110. Calculate the remainder when s is divided by f(4).
10
Suppose 2*z = -2, -u + 4*z + 0*z + 9 = 0. What is the remainder when u is divided by 2?
1
Suppose m = -3*z - m + 32, 3*m = -2*z + 13. Suppose 19*d - 81 = 16*d. Calculate the remainder when d is divided by z.
13
Let r = -78 + 166. Suppose 4*x = 5*s + 52, 4*s - 3*s = x - 14. Calculate the remainder when r is divided by x.
16
Suppose 0 = -9*r + 4*r - 30. Let i = -5 - r. Suppose 0 = h + 3*n - i, -2*n = -4*h - 5*n + 4. What is the remainder when 2 is divided by h?
0
Suppose 5*o - 6*t = -2*t + 35, 5*t = 2*o - 31. What is the remainder when 45 is divided by 12*6/(o/1)?
21
Let m be -15 + (-2 + 2 - -3). Let s = 41 + m. What is the remainder when s is divided by 16?
13
Let v = 1 - -3. Let i(u) = -u**3 - 4*u**2 - 4*u - 1. Let x be i(-3). Suppose -v*f = x*z - 22, 3*f = 6*z - 2*z. Calculate the remainder when f is divided by 3.
1
Let q be 4/(-14) - (-4)/14. Let v = 29 + -16. Calculate the remainder when v is divided by (3 - 1 - q) + 5.
6
Let a be (-4 - -5)*(17 + -1). Let h = -10 + a. Calculate the remainder when (17 - 1)*h/12 is divided by 3.
2
Suppose 5*u = 7*u - 28. What is the remainder when 82 is divided by u?
12
Suppose 4 = 5*t - t. Suppose -2 - t = -d. Suppose 5*v + 16 = m + 3*v, -3*v = 2*m + d. What is the remainder when 10 is divided by m?
4
Calculate the remainder when (-257)/(-7) + 9/(126/4) is divided by 19.
18
Suppose -4*h - 4*a = -32, -3*h + 5*a - 29 = -7*h. Let f = -60 - -102. Calculate the remainder when f is divided by h.
9
Let j = -3 + 6. Suppose -4*r + j = 7. Calculate the remainder when 7 is divided by (-2)/(-1*r/(-2)).
3
Let b(t) = 11*t**2 + 4*t - 3. What is the remainder when b(2) is divided by (540/32 - 0) + 1/8?
15
Let c = -11 + 24. What is the remainder when 61 is divided by c?
9
Let b = -38 + 73. Let j(q) = q**2 + 7*q - 4. Let n be j(-6). Let h = 2 - n. What is the remainder when b is divided by h?
11
Suppose -f - 15 = -a - 0*f, 0 = -5*a - 5*f + 75. What is the remainder when 36 is divided by a?
6
Calculate the remainder when (-6)/15 + 524/10 is divided by 11.
8
Let c(v) = 2*v**2 + 4*v - 1. Suppose 0 = -3*g - 3, 0 = -s - 2*g - 5. What is the remainder when 8 is divided by c(s)?
3
Let b = 5 + -11. Let f(a) = -5*a**2 + 2 + 10*a - 5*a + 3*a**3 - 4*a**3. What is the remainder when 14 is divided by f(b)?
6
Let s = -23 + 26. Calculate the remainder when 7 is divided by s.
1
Suppose 0 = 2*z - 5*m - 61, -3*z + 2*m + 44 = 4*m. Suppose -7*t + 96 = 26. What is the remainder when z is divided by t?
8
Let b = 45 + -39. What is the remainder when 13 is divided by b?
1
Let y = 14 - -9. Let i = 6 - -2. Calculate the remainder when y is divided by i.
7
Let m be 5/(3*4/12). Suppose -m*p - 2*v = -55, -p + 6 = 2*v - 13. What is the remainder when p is divided by -2 + 1/(-2)*-14?
4
Suppose -4*s - g + 29 = 0, -5*s + 25 = 4*g - 5*g. Let c = -2 + s. What is the remainder when (10/(-3))/(1/(-3)) is divided by c?
2
Let y(b) = b**2 - 5*b - 3. Suppose -18 = -0*j - 3*j. Let t be y(j). Suppose c + t*r = r + 5, 5*r = 5*c - 85. What is the remainder when 24 is divided by c?
11
Suppose 0*d - 61 = -3*l - 2*d, 0 = 5*d - 10. Calculate the remainder when l + -1*(1 - -1) is divided by 9.
8
Suppose 2 + 4 = 2*r. Suppose l - 18 = -4*d, d + l = r*l. Calculate the remainder when d is divided by 9 - 2 - (4 + 0).
1
Let t = -9 + 20. Suppose 6*d - d - 45 = 0. Suppose -4*g = -d*g + 105. Calculate the remainder when g is divided by t.
10
Let k(n) = n**3 + 20*n**2 + 19. What is the remainder when 94 is divided by k(-20)?
18
Let n be 2/(0 - 2) + -26. Let w = n + 81. Calculate the remainder when w is divided by 14.
12
Let q(h) = h**2 + 3*h - 3. Let t be q(-4). Let j be t - (0 - (17 - -2)). Suppose j = 5*b - 35. What is the remainder when 32 is divided by b?
10
Suppose 26 = 4*d - 162. What is the remainder when 279 is divided by d?
44
Let x(p) = -p**3 + 4*p**2 + 2*p - 9. Let g be x(6). Let m = 121 + g. Calculate the remainder when m is divided by 18.
16
Suppose -2*i = 2*j - 46, -5*i - j = -122 + 19. Suppose -6*c + 228 + 234 = 0. What is the remainder when c is divided by i?
17
Suppose -3*j = -0*j - w - 38, 5*j + 2*w - 56 = 0. Let d = 1 - -19. Calculate the remainder when d is divided by j.
8
Suppose m - 23 = -5. Calculate the remainder when m is divided by 6.
0
Let j(u) be the second derivative of u**3/3 + 3*u**2/2 + 8*u. What is the remainder when 27 is divided by j(6)?
12
Let t = 49 + -29. Let j(x) = x**2 - 5. Calculate the remainder when t is divided by j(-4).
9
Let a(b) = b + 13. Let x be a(-12). Calculate the remainder when (5/(-2))/(x/(-4)) is divided by 3.
1
Let a(x) = 2*x - 26. Calculate the remainder when a(16) is divided by 6.
0
What is the remainder when 89 is divided by 5/(-165)*6 - 343/(-11)?
27
Let q = 3 + 11. Suppose 3*w + q = w. Let t = w - -17. What is the remainder when 18 is divided by t?
8
Suppose 7*n + 63 = 252. What is the remainder when n is divided by 4?
3
Suppose -2*s - 250 = -7*s. Suppose 3*j - 103 = -3*b + s, -b + 63 = -5*j. What is the remainder when b is divided by 18?
17
Let n(p) = -2*p**3 - 2*p - 3. Suppose 2*a - 1 = q, -a - 2*q + 4*q + 8 = 0. Calculate the remainder when n(a) is divided by 6.
5
Suppose 123 = 3*k + 4*y, -4*k + 2*y + 0*y = -142. Suppose -u = -k - 6. What is the remainder when u is divided by (-1)/(-2*(-2)/(-60))?
13
Let o = -8 - 0. Let f = o - -21. What is the remainder when f is divided by 5?
3
Let m(n) = 4*n - 8. Calculate the remainder when m(9) is divided by 10.
8
Let m(d)


- 31. Calculate the greatest common factor of 25 and b.
25
Let r = -1 + 2. Let j be (r/2)/(6/2304). What is the highest common factor of j and 24?
24
Let n = 30 + 35. Calculate the highest common divisor of n and 13.
13
Let y be -5*1/(3/(-3)). What is the greatest common factor of 15 and y?
5
Suppose -a + 80 = 5*w, 6*w = 2*w + a + 64. Calculate the greatest common divisor of w and 16.
16
Suppose -3*p + 345 = -84. Suppose p = 3*l - 4*j, -4*l = -3*j - 207 + 21. What is the greatest common divisor of l and 9?
9
Suppose -u = 4*u - 5. Let l(o) = 2*o**3 - 3*o**2 + 2*o - 1. Suppose -3 - 7 = -5*p. Let j be l(p). Calculate the greatest common factor of u and j.
1
Let j be (-9)/(-2)*1506/9. Suppose -5*n = j - 2478. Let w = -245 + n. Calculate the highest common factor of w and 10.
10
Let y be -3 - 2*(-8 + -3). Suppose -g - 6 = -y. Calculate the greatest common factor of g and 13.
13
Let l(j) = -30*j**3 + j + 1. Let f be l(-1). Calculate the highest common divisor of 20 and f.
10
Let i = 4 - 0. Calculate the highest common factor of 16 and i.
4
Let z(g) be the first derivative of g**2 + g - 4. Let m be z(-3). Let x be 4/20 + (-74)/m. What is the highest common factor of x and 135?
15
Let b be 3/6 - (-1795)/10. Suppose -5*h + b = 50. What is the highest common divisor of 13 and h?
13
Let i(r) = r**2 + r - 10. Let v be i(0). Let d be 11/(-2) - (-2)/4. Let b be (16/v)/(d/25). What is the highest common divisor of b and 4?
4
Let m(o) = 5*o**2 + 4*o - 5. Let d be m(-3). What is the greatest common divisor of d and 4?
4
Let m(y) = 43*y - 12. Let w be m(4). Calculate the greatest common divisor of 20 and w.
20
Suppose -8 - 1 = -3*a. Let h be -6*165/6*-1. Suppose -u = 4*u - h. Calculate the highest common divisor of u and a.
3
Let y = 2 + 19. Let d = -7 - -13. Suppose -v + 24 = 2*g + d, 3*g = 3*v + 9. What is the greatest common divisor of y and g?
7
Suppose -2*s = -4*t, -3*s + 5*t - 4*t = -10. What is the highest common divisor of s and 12?
4
Let u be (78/(-18))/(1/(-18)). Suppose -3*n - 3*y + 4*y + 39 = 0, -4*y = 4*n - 52. What is the greatest common factor of n and u?
13
Let q(i) = -11*i - 3. Let n be q(-3). Suppose -40*l + 998 = 398. Calculate the greatest common divisor of n and l.
15
Let k be (1 - -32)/((-12)/(-12)). What is the highest common divisor of 55 and k?
11
Let q(n) = -n**2 - 2*n**3 + 5*n - 3*n + 3*n**3 - n + 18. Let p be q(0). What is the greatest common divisor of 27 and p?
9
Let v = -22 + 37. Let j(b) = -2*b + 15. Let s be j(5). What is the highest common factor of s and v?
5
Let m(f) = f**2 + 10*f - 4. Let k be m(-5). Suppose -4*v + 0*v - 5*n = -169, 46 = v + 5*n. Let s = k + v. Calculate the highest common divisor of 2 and s.
2
Let l be 1/(-5) - 8/10. Let r = l - -1. Suppose 3*k + 2*o - 3 - 12 = r, -15 = -3*k - 3*o. What is the highest common divisor of 55 and k?
5
Let f be -3 - (-3 + 57/(-3)). Let d = 5 + f. What is the greatest common divisor of d and 16?
8
Let c(u) = -3*u + 2. Let v be c(-4). Let n(f) = -20*f**3 - f. Let z be n(-1). What is the highest common factor of z and v?
7
Let q be -3 + (0 - 2) + -3. Let p(z) = 2*z - 6. Let u be p(q). Let k = -16 - u. Calculate the highest common divisor of k and 24.
6
Let x be (-6)/(-4 + 4*20/32). Let m be 1*(1 - 1) + 54. Suppose 5*k = x*i + 78, 0*k - 4*k + m = i. Calculate the greatest common factor of 70 and k.
14
Let h be 2 + 3/(-3) + 19. Suppose v + h = 3*v. What is the highest common factor of 40 and v?
10
Suppose 0 = 3*r - 64 - 14. Suppose 3*u = -2*u + 1430. Calculate the highest common divisor of u and r.
26
Suppose -i + 3 - 1 = 2*t, -3*t + 3*i = -3. Calculate the greatest common divisor of 1 and t.
1
Let i be 21/2 - (-3)/(-6). Suppose -2*u - 3*u + 105 = 0. Let a = u - i. Calculate the greatest common factor of 1 and a.
1
Let f be (1/(-1))/(-1) - -53. Let a = -245 + 380. Calculate the highest common divisor of a and f.
27
Let g(q) = 142*q**2 + 4*q - 3. Let j be g(1). Let x = -15 - -28. What is the greatest common factor of j and x?
13
Let o be (-1)/(-3*2/(-36)). Let m = o + 22. Let d(w) = -w**3 - 3*w**2 - 3*w - 1. Let p be d(-3). What is the greatest common factor of m and p?
8
Suppose 0 = -3*u + 4*u - 8. Suppose -o = -0*o - u. Calculate the highest common factor of 4 and o.
4
Suppose -5*p = -2*p. Let s be 3/3 - (p - 2). Suppose -2*v = -2*x - s*x - 32, 40 = 4*v - 4*x. What is the highest common factor of v and 12?
6
Let l be 32/10*(-15)/(-3). Let j(i) = i**3 + 6*i**2 - 3*i + 6. Let v be j(-6). What is the greatest common divisor of l and v?
8
Suppose -4*m - 5 + 45 = 0. What is the highest common factor of m and 50?
10
Let v be 1*(6 + -2 - (-3 + 3)). What is the highest common divisor of v and 16?
4
Let g = -27 - -13. Let w = g + 21. Let k be ((-12)/(-14))/(w/147). What is the greatest common factor of 162 and k?
18
Let n be (8*-1)/((-12)/18). Calculate the greatest common factor of 12 and n.
12
Let g = 6 + -3. Suppose -36 = -6*n + g*n. Let t = -26 - -56. Calculate the highest common factor of n and t.
6
Let y(i) = 2*i - i + 1 - 2*i - 3*i + 3*i**2. Let t be y(-5). Suppose 3*z + h = 9 + 26, -65 = -5*z + 5*h. What is the greatest common factor of z and t?
12
Suppose 2 = -q + 3*y, -8 = -2*q + y - 2. Suppose 4*b - 3*u - 28 = 0, 12 = q*u - 4. What is the greatest common factor of b and 20?
10
Let t be 4/(-6)*(-138 - 0). What is the greatest common factor of 23 and t?
23
Let h be 4/(-18) - 141/(-27). Suppose 0 = -k + 4*k - 2*n - 101, -h*k = 4*n - 161. Calculate the highest common divisor of k and 11.
11
Suppose 2*l + l = 54. Let g = 8 + 4. Calculate the greatest common factor of l and g.
6
Suppose -3*j + 2 = -7. Suppose -2*s = -5*b - 3*s + 53, s = j*b - 27. Calculate the highest common factor of 50 and b.
10
Let c(g) = g**3 + 10*g**2 + 4*g - 5. Let q be c(-9). Calculate the highest common factor of 10 and q.
10
Suppose -r - 3*r = 0. Suppose f - 6*f + 15 = r. Calculate the highest common factor of 12 and f.
3
Let b = 14 - -21. Calculate the highest common factor of b and 175.
35
Let u(z) = 7*z + 1. Let w be u(1). What is the highest common divisor of 72 and w?
8
Suppose p - 4*x + 1 = 9, 2*p + 2*x = 36. Suppose 5*b + 0*b - 880 = 0. Calculate the highest common divisor of p and b.
16
Let j = 32 + -20. Let b(u) = -u**2 + 13*u - 6. Let f be b(9). What is the greatest common factor of f and j?
6
Let v(s) = -s**3 + 9*s**2 + 7*s - 7. Let l be v(9). Calculate the greatest common divisor of 14 and l.
14
Let k(f) = -f**3 - 11*f**2 - 12*f + 3. Let v be k(-10). Suppose 92 = 3*b + b. Calculate the highest common factor of b and v.
23
Suppose 5*f - d + 110 = -0*f, 3*f + 3*d = -66. Let k = 121 - f. What is the greatest common divisor of k and 13?
13
Suppose -13 = -v + 75. Calculate the greatest common factor of v and 8.
8
Let x be -1*((-1)/(-3) + (-1220)/15). Calculate the greatest common divisor of x and 9.
9
Let r be -1 - ((-12)/(-4) - -2)/(-1). Let p = 4 + 0. What is the highest common factor of p and r?
4
Let v(u) = -19*u - 1. Let f(n) = -20*n - 1. Let j(r) = 2*f(r) - 3*v(r). Let o be 1 + (2 - 1 - 0). Let g be j(o). What is the highest common divisor of 5 and g?
5
Let t(f) = -f + 30. Let w be t(24). What is the greatest common divisor of w and 6?
6
Let c(n) = n**2 + n - 1. Let j be c(0). Let m = j - -8. Calculate the highest common factor of 35 and m.
7
Suppose h - 5*b = -2*h - 21, 4*b - 20 = 4*h. Let n be h*(3 - (-45)/(-6)). Calculate the highest common factor of 63 and n.
9
Suppose -4*q - 5 = 19. Let t = -3 - q. Suppose f = -t*f - a + 162, 3*f = -2*a + 124. What is the greatest common divisor of f and 10?
10
Let i = 41 - 25. Suppose 4*y = -5*x + 44, -6*x - 3*y + 43 = -x. Calculate the highest common divisor of x and i.
8
Suppose 154 = 3*r + 2*q - q, -4*q = r - 44. What is the greatest common divisor of r and 130?
26
Suppose 0 = -m - 0*m - 1, 10 = -3*o + 5*m. Suppose -8 = -3*g + 4*g. Let b = o - g. Calculate the greatest common divisor of b and 15.
3
Let a = 17 + -9. Suppose -5*x + 11 = 31, 36 = u - 3*x. Calculate the highest common divisor of u and a.
8
Suppose m = -0*m + 115. Let t = -50 - -73. What is the greatest common divisor of m and t?
23
Let x(u) = -15*u - 5. Let d(p) = -15*p - 6. Let o(b) = -5*d(b) + 6*x(b). Let k be o(-3). What is the greatest common factor of k and 18?
9
Let h(i) = i**2 - 7*


+ 42*l**2
Expand (2 + 1 - 1 + (2 - 5 + 2)*(-1 + 2 - 2) - 2 + 1 - 1 + 4 - 5 - 5 + 3 + 15 + 1)*(-5*w + 5*w - 2*w).
-28*w
Expand 1 - 2*p**2 - 1 + (-4*p - p + 3*p)*(-p + p - 2*p) + 7*p**2 - 3*p**2 - 3*p**2 - 3*p**2 + 0*p**2 + 2*p**2 - 807*p**2 - 759*p**2 + 1437*p**2.
-127*p**2
Expand ((0 + 5 - 3)*(6*d - 3*d - 2*d) + 4 - 4 + d)*(-5 + 4 - 1) + ((0 - 1 - 1)*(-4 + 3 - 5) - 33 - 6 + 2)*(-4*d + 0*d + 2 + 0).
94*d - 50
Expand (56 + 44 + 636)*(17 - 17 - 4*c).
-2944*c
Expand (-6*j + 5*j**2 + 6*j)*(-35 + 19 - 6) + 2*j**2 + 8*j - 7*j + 6*j**2.
-102*j**2 + j
Expand (-8*n**4 + n**4 + 244 - 239 - 2*n)*(3*n + 6*n + n)*(-1 + 3 - 1).
-70*n**5 - 20*n**2 + 50*n
Expand (-115*y + 49*y + 49*y)*(-2*y**2 - 33 - y**2 + 6 + 22*y**2 - 28*y**2).
153*y**3 + 459*y
Expand (-123*y - 66634 + 66634)*(-3 + 0 + 4 + 2*y**4) + (y**2 - 3*y**2 + 0*y**2)*(y**3 + y - y).
-248*y**5 - 123*y
Expand (0*f**2 + 307 - 309 + 2*f**2)*(-9 + 6 - 170*f**2 + 3).
-340*f**4 + 340*f**2
Expand (1 + 0 - 5)*(5 - 13 + 9 + 3613*t - 2554*t).
-4236*t - 4
Expand (3*w - 2*w + w)*(w**3 - 2*w**4 - w**3 + (-3 + 3 - w**2)*(-10*w - 9 + 17*w - 2)*(-3*w + w + w)).
10*w**5 - 22*w**4
Expand (-58*j + 30*j + 30*j)*(-2*j**2 + 6 - 10*j - 7*j + 14*j).
-4*j**3 - 6*j**2 + 12*j
Expand (-3 + 3*b**2 + 3)*(7*b - 1 + 3 - 9*b) + (-8*b**2 + 2*b**2 + 2*b**2)*(4*b - 4*b + b + (4 + 2*b - 4)*(-5 + 3 + 3) + b - 4*b + 7*b).
-34*b**3 + 6*b**2
Expand (1366 + 942*w**3 + 1364 - 2729)*(-5 + 4 + 3)*(-2 + 1 + 0).
-1884*w**3 - 2
Expand (616*g + 674*g - 1495*g)*(7*g**2 - 36*g + 36*g) + 0*g - g**3 + 0*g.
-1436*g**3
Expand (-y**2 + 6*y**2 - 3*y**2)*(11*y + 0*y - 14*y - 1113).
-6*y**3 - 2226*y**2
Expand 155 - 365 + 222 + 26*h + 0*h + 0*h - h + (-4 + 1 + 4)*(2*h + 1 - 1).
27*h + 12
Expand (2*n**3 + n**2 - n**2)*(-74*n + 2595 - 2595 + 0*n + 4*n - 5*n + (2 - 2 + n)*(4 + 4 - 3)).
-140*n**4
Expand (5*n + n - 4*n)*(0 + 0 + n) + 1 - 1 + n**2 + 518 - 711*n**2 - 518 + 8*n**2 - n**2 - 2*n**2.
-703*n**2
Expand ((2 + 2 - 2)*(-2 + 4 - 3) + 3 - 1 + 1)*(-1 - 13701*c + 1 + 329*c).
-13372*c
Expand (-2 + 0 + 7)*(2*o - 6*o + 3*o) - 3*o + o + 4*o + (-o - 4 + 4)*(1 - 6 + 4) - 3*o + 4*o - 3*o + (-2*o - 1 + 1)*(-4 + 5 + 0).
-6*o
Expand -l - l**2 + l + (-l + 0*l + 0*l)*(3*l - l + 0*l) + (45 + 14*l - 45)*(5 - 5 - 2*l).
-31*l**2
Expand 20*y**5 - 7*y**5 - 4*y**5 + (-3 + 3 - 2)*(-1 + 1 + y)*(-4*y**4 + 868 - 1738 + 855).
17*y**5 + 30*y
Expand (30*h + 49*h - 179*h**2 + 177*h**2)*(4*h**2 - 3*h**2 + 3*h + 18*h).
-2*h**4 + 37*h**3 + 1659*h**2
Expand -342422 + 342422 + 2*a**2 + 3167*a**3 + a**3 + 0*a**3 + 2*a**3 + (3*a - 2*a - 3*a)*(0*a**2 + 2*a**2 - 4*a**2).
3174*a**3 + 2*a**2
Expand (3 - 5 + 4)*(-11*q + 26*q - 14*q)*(-253*q + 106*q + 47*q).
-200*q**2
Expand 0 - 4*z**3 + 2 + 5*z**3 + (5*z + 0*z - 3*z)*(-2*z**2 - z + z) - 2*z**3 - z + z - 56*z**3 + 189*z**3 + 151*z**3.
279*z**3 + 2
Expand (1 - 7 + 1 + (-3 + 4 - 2)*(0 + 0 + 1))*(3*j + 1 - 1)*(5*j**4 - 35*j**4 + 2*j**4).
504*j**5
Expand -2*q**4 + 5*q**4 - q**4 + (q**2 - q**2 + 2*q**2)*(-2*q**2 - 1 + 1) - 1281*q**4 - 5000*q**2 - 4994*q**2 + 9994*q**2 + 2*q**4 + 2*q**4 - q**4.
-1280*q**4
Expand 2 - 2 - 2*f**3 + (246 + 71*f - 246)*(16*f - 72 + 72)*(-3 + 1 + 0)*(-3*f + 0 + 0).
6814*f**3
Expand (0*f**3 + 2*f**3 + f**3)*((-6 + 1 - 74)*(-7 + 8*f - 4 + 14) - 2*f + 5*f - 2*f).
-1893*f**4 - 711*f**3
Expand (6*x - 6*x - x)*(-6*x**2 + 10*x**2 + 6*x**2 + (-3*x + 3*x - x)*(-3*x + 0*x + 2*x) - 2*x**2 + x - x).
-9*x**3
Expand (0*w**3 - w**3 - 4*w**3)*(500*w + 5 - 5 + 980*w) + w**4 - w**4 - 3*w**4.
-7403*w**4
Expand (-6 + 3 - 9)*(-18*m - 69*m + 134*m)*(1 + 2 + 0).
-1692*m
Expand -285143*n**2 + 285143*n**2 + 579*n**3 - n + (6 - 5 + 4)*(0*n**2 + 0*n**2 + 2*n**3).
589*n**3 - n
Expand (-6 + 161*t + 19 - 13)*(11 + 25 + 0)*(3*t**3 + t**3 - 5*t**3).
-5796*t**4
Expand (-4*d + 3*d - 21*d)*(d**2 + d**2 + 0*d**2) + 6*d**3 + 0*d**3 + 2 + d**3.
-37*d**3 + 2
Expand (249*o**3 - 6472*o + o**2 + 6474*o + 506*o**3)*(-4 + 2 - 1).
-2265*o**3 - 3*o**2 - 6*o
Expand (-20*w + 16*w + 11*w)*(-70*w**2 - 2329*w + 2329*w)*(-w**2 + 0 + 0 + (-4*w + 3*w + 3*w)*(2*w - 2*w - w)).
1470*w**5
Expand (6 + 0 + 2)*(2627 - 5247 + 2844)*(y + 0*y - 2*y).
-1792*y
Expand (-10*i - 3*i - 6*i)*(7 + 26 - 2*i**2 + i**4 + 0*i**4) + 3*i**5 - 4*i**5 + 0*i**5.
-20*i**5 + 38*i**3 - 627*i
Expand (-1280*n + 1113*n + 1 - 3 + 4*n**3)*(0*n - 6*n - 3*n).
-36*n**4 + 1503*n**2 + 18*n
Expand (2*l - 1 + 1)*(-17 - 611*l + 6 - 1 + 526*l - 272*l).
-714*l**2 - 24*l
Expand 37*w**5 - 51*w**5 + 31*w**5 + 54*w**2 - 54*w**2 - 9*w**5 + (1 - 1 - 2*w)*(0*w**4 + 3*w**4 - 2*w**4) - 4*w**5 + 0*w**5 + 2*w**5 + 3*w**3 + w**5 - 3*w**3.
5*w**5
Expand 3*n**4 + 0*n**4 + n**4 + (n - 4*n + 0*n)*(-2*n**3 + n**3 - 3*n**3) - 10*n**3 + 17*n**4 + 10*n**3.
33*n**4
Expand (3 + 2 - 6 + (-2 - 3 + 4)*(-1 + 1 - 2) - 4 + 1 + 0)*(257 + 998 + 829)*(2*v**3 - 2 + 2).
-8336*v**3
Expand ((3*v - v - v)*(1 + v - 1) + (-3*v + 0*v + 2*v)*(-2 + 2 - 2*v) - v**2 + 3*v - 3*v + 3*v**2 - 3*v**2 - 5*v**2)*(-5*v**2 + 23*v**2 - 107*v**2).
267*v**4
Expand ((27 - 27 - 4*p**3)*(-1 - 7 - 8) - p**3 + 0*p**3 - 4*p**3)*(7 + 1 + 1).
531*p**3
Expand (-1 + 1 + p)*(0 - 1 + 14)*(24 + 121 + 131).
3588*p
Expand (31 - 327 + 1265 + 459 + 1567 + 856)*(-10*i - 10 + 10).
-38510*i
Expand 12888 - 6444 - 6444 + 1503*o**4 + (o + 4 - 4)*(-2*o**3 + 3*o**3 - 3*o**3).
1501*o**4
Expand (-k**3 - 2*k**3 + 0*k**3 + (-k + k - k)*(11 + 4*k**2 - 11))*(0 + 3 + 1) - k**3 - k**3 + 3*k**3 + (2*k + 2 - 2)*(-k**2 + 0 + 0).
-29*k**3
Expand (1 + 0 - 2)*(2*c + 1 - 1)*(-54 + 38 - 111).
254*c
Expand (-63*b + 11*b - 81*b)*(-1 + 7 + 6).
-1596*b
Expand (f + 15*f - 5*f)*(-f - 5*f + 4*f - 3*f + f + 4*f + 4*f - 5*f - 2*f + (4*f - f - 2*f)*(1 + 2 - 1))*(4*f**2 + f**3 - 4*f**2).
-11*f**5
Expand (-5*y + 3*y + 7*y)*(-61 + 61 + 55*y)*(-39*y**3 - y**3 + 98*y**3).
15950*y**5
Expand (595 - 82*h - 595)*(2*h**2 - 6*h**2 + 2*h**2 + (0*h + h + h)*(h - 2*h + 3*h) + 81*h**2 - 78*h**2 + 2*h - 1 - h).
-410*h**3 - 82*h**2 + 82*h
Expand (-2*h + 0*h + 6*h + 1 - 3*h - 1 + 0*h - 5*h + 3*h + (h - h + 2*h)*(4 - 4 - 2) + 2*h + h - 4*h - 2*h + h + 0*h)*(4*h + 12*h - 3*h)*(-4 + 5 + 0).
-91*h**2
Expand (-56313*v + 56313*v + 9097*v**4)*(-1 - v + 3 + 2*v) + 0 - v**5 + 0.
9096*v**5 + 18194*v**4
Expand (-4*i**2 - 9*i**2 + 5*i**2)*(960*i - 831*i + 2272*i).
-19208*i**3
Expand 29*c**3 - 74*c**3 + 27*c**3 - 113*c**3 + (-7*c + 4*c**3 + 7*c)*(-1 + 1 + 2).
-123*c**3
Expand 3*n**5 - 4*n**5 + 3*n**5 + (2 - 1 - 2)*(-3*n**5 + n**3 - n**3) + 49*n**5 + 77*n**5 - 49*n**5.
82*n**5
Expand (3233*b**4 - 668*b**2 - 697*b**2 + 1365*b**2)*(6*b + 0*b - 3*b)*(0 - 3 + 2)*(-3 + 3 + 2).
-19398*b**5
Expand -21*w + 61*w - 18*w - 2 + (10*w - w - 3*w)*(-1 - 1 + 1)*(2 + 4 - 3).
4*w - 2
Expand 15*f**5 + 83*f**2 - 83*f**2 + (0 + 0 - 2)*(0*f**5 - 5*f**5 + 3*f**5) + 1 + 2*f**5 - 1 - f**5 - 4*f**5 + 4*f**5.
20*f**5
Expand (3*w**4 + 0*w**4 - w**4)*(1 - 2*w - 1)*(12 + 6 - 1)*(2 + 1 - 8).
340*w**5
Expand 2*h - 2*h + h**2 - 1 + 6*h**2 + 1 + (-2*h + h + 4*h)*(0*h - h + 0*h) + 47*h**2 - 1076*h + 1076*h.
51*h**2
Expand (6*n - 13*n - 13*n)*(-174*n + 33*n - 288*n).
8580*n**2
Expand (-43*g**3 + 41*g**4 + 43*g**3)*(71*g - 232*g - 53*g - 763*g).
-40057*g**5
Expand 2 - 2*c**3 - 2 + (-4*c - c + 2*c)*(-1 - 2*c**2 + 1) + (-c**2 + 1 - 1)*(0 + 0 - 2*c) - 3186 - 87*c**3 + 3186 + 2*c**3 + 0*c**3 + 0*c**3.
-79*c**3
Expand (0 + 1 - 2)*(3*v - v + 2*v)*(-21*v**3 + 69*v**3 + 11*v**3).
-236*v**4
Expand (3*l + l - 5*l)*(-3*l**2 + 7*l**2 - 2*l**2) - l**3 + 3*l - 3*l - 75747 + 75747 - 1244*l**3.
-1247*l**3
Expand (5 - 5 + 2*d**2)*(d - 10 - 17 - 81 - 158)*(-7*d + 0*d + d).
-12*d**4 + 3192*d**3
Expand (-4 - 2*w + 4)*(w + 0*w + w) + 12*w**2 + 99 - 99 + 2627*w**2 - 4287*w**2 + 2597*w**2.
945*w**2
Expand (3*y**2 - y**2 - y**2 + (-5*y - y - y)*(3*y - 5*y + 0*y))*(-4*y + 5*y + 0*y) + 21 - 21 - 5*y**3.
10*y**3
Expand (-5*i - 375 + 375)*(-1 + 771*i**4 + 273*i**4 - 110*i**4 + 1 + 142*i**4).
-5380*i**5
Expand -5*c**2 + 5*c**2 + 7*c**3 + (2*c - 4 + 4)*(9 + 14*c**2 - 9) + (-3*c**2 + 4*c**2 - 2*c**2)*(-c - 8*c + 0*c).
44*c**3
Expand (0 + 0 - n**4)*(n + 2 - 2) - 2*n**3 + 2*n**5 + 2*n**3 + (11*n**5 - 30*n**5 + 10*n**5)*(-4 - 2 + 1 + (-3 + 1 + 1)*(-2 + 4 + 0)).
64*n**5
Expand ((-6*g**3 + g**3 + 0*g**3)*(0*g - 4*g + 2*g) + 77*g**2 + 3*g**4 - 77*g**2)*(-2 - 4 + 4).
-26*g**4
Expand (8 + 6 - 3)*(-4*h + 3*h - 2*h)*(-7 - 8 - 29)*(-3


z*d + 3*d - 95. List the prime factors of d.
19
Suppose -3*p + 2*n + 5 + 4 = 0, -2*p = 5*n - 6. Suppose -17 = -p*i - 5. Suppose 0 = -f - 4*s + 6, 0*s = i*s. What are the prime factors of f?
2, 3
Let r(y) = y**2 + 1. Let n(z) = -5*z**2 + 3*z - 7. Let u(c) = -n(c) - 4*r(c). What are the prime factors of u(-3)?
3, 7
List the prime factors of 1*51/9*3.
17
Suppose 0 = -3*x + 101 - 2. Suppose -2*i - 13 = -3*i - 2*a, 3*i - 3*a = -6. Suppose -3*z + x = -i. List the prime factors of z.
2, 3
Suppose -184 = -0*t - 4*t. Suppose 5*o = y - 34 + 4, o - t = -5*y. List the prime factors of y.
2, 5
Let o be (3/(-4 + 3))/(-1). Let n be -1*(-1 + o) - 4. Let k = n - -28. List the prime factors of k.
2, 11
Suppose 9*a - 120 = 5*a. List the prime factors of a.
2, 3, 5
What are the prime factors of (-9581)/(-121) - (-2)/(-11)?
79
Suppose -3*c + 2*c = -24. Suppose 2*m = 5*m - c. List the prime factors of m.
2
Suppose 4*n = -0*n + 76. What are the prime factors of n?
19
Let s(a) = -a + 5. Let g be s(0). Suppose g*c - 4*w - 50 = -9, 4 = -w. Suppose 2*l + 5*o = -15, -o + 0 = c. What are the prime factors of l?
5
Let q = 13 + -8. Suppose 10*u = q*u + 10. Suppose -u*l + 6 = -l. List the prime factors of l.
2, 3
Suppose s - 6 = t - 2*t, 5*t + 5 = 0. Let q = 2 - -1. Let z = s - q. What are the prime factors of z?
2
Suppose 3730 = 5*s + 230. List the prime factors of -2*(s/8)/(-7).
5
Suppose 0 = -4*j - 3*p + 359, -4*j + 2*p + p + 329 = 0. What are the prime factors of j?
2, 43
Suppose -4*m + 5*n - 10 = 0, -m - m = 5*n - 10. Suppose 4*c + m = 24. Suppose -19 = -t - c. List the prime factors of t.
13
Let l(v) = -v**3 + 8*v**2 - 6. Let t be l(8). Let u(j) = 2*j**3 - j**2 + 8*j + 3. Let z(a) = a + 1. Let m(i) = t*z(i) + u(i). List the prime factors of m(2).
13
Suppose 5*c + 2 = 2*d - 2, 15 = -3*c - 3*d. Let j(y) = -16*y + 1. List the prime factors of j(c).
3, 11
Suppose b - 36 - 16 = 0. Let o(p) = p**3 + 4*p**2 - 7*p - 3. Let u be o(-6). Let m = b + u. What are the prime factors of m?
19
Suppose -4*z + 5 = x - 18, 0 = 5*z + 2*x - 31. Suppose -74 = -3*d - p, z*d - 2*p + 0*p = 116. What are the prime factors of (3/4)/(1/d)?
2, 3
Let q = -705 - -385. Let y be ((-6)/4)/(12/q). Suppose -3*m + 4*t = m - y, -5*m + 44 = -3*t. List the prime factors of m.
7
Suppose -3*u = 2*k - 3*k - 154, -2*u - 2*k = -108. What are the prime factors of u?
2, 13
Let k be (-5)/((1/(-3))/1). Let d(a) = -a + 7. Let t be d(2). Suppose -5 + k = t*r. List the prime factors of r.
2
Suppose -2*b = -3*s + 51, b + 102 = -4*b - s. Let t(g) = -3*g + 3. Let w be t(4). Let u = w - b. What are the prime factors of u?
2, 3
Let h = -7 - -16. Let p = -4 + h. List the prime factors of p.
5
Let w(f) = f**3 + 2*f**2 + 3*f + 2. Let p be w(-1). Suppose p*j - 2*j + 3*n + 56 = 0, 0 = 3*n + 6. What are the prime factors of j?
5
Let o = -2 + 4. Suppose 4 = o*j - 0. Suppose r = -j*b - 3*r + 16, 0 = -5*b + 3*r + 27. List the prime factors of b.
2, 3
Suppose 6*l - 4*l + 22 = 4*k, -2*k - 4 = 4*l. Suppose 2 = -5*x + k*i + 29, 4*i - 36 = -4*x. List the prime factors of x.
7
Let r be 6*(2/6)/1. Suppose 0*o - r*o - 4*b + 2 = 0, -4*o = 4*b. List the prime factors of 6/3 - 4*o.
2, 3
Suppose -121 = -5*q + 629. List the prime factors of q.
2, 3, 5
List the prime factors of (-2 - 1)/((-3)/2).
2
Suppose 3*a - 6*l - 29 = -l, a + 5*l = -17. Suppose -4*t + 71 = a*z, 3*t - 2*t + z = 19. What are the prime factors of 7/(t/8) - -3?
7
Let b = 2 + 3. Let o(s) = 6*s + 4. List the prime factors of o(b).
2, 17
Suppose 4*m + 0*m = -16. Let j(t) = -t**3 - 4*t**2 - t + 3. What are the prime factors of j(m)?
7
Suppose 5*x + 6 = 8*x. Suppose 2*b = -x*b + 48. What are the prime factors of b?
2, 3
What are the prime factors of ((-1010)/(-4) - 0) + (-1)/2?
2, 3, 7
Let o(c) = 11*c - 6. What are the prime factors of o(4)?
2, 19
Let a be 123/18 - (-2)/12. Suppose a*q = 2*q + 55. List the prime factors of q.
11
Let p(i) = -3 - 1 - 2 + 2*i. List the prime factors of p(5).
2
Let m(q) = 7*q + 5*q + q**2 + 2 - 2*q**2 - 3. List the prime factors of m(9).
2, 13
Let b(t) be the second derivative of 4*t**3/3 - 7*t**2/2 + t. Let m be b(5). Let a = -23 + m. List the prime factors of a.
2, 5
List the prime factors of (-1260)/(-10)*16/6.
2, 3, 7
Suppose 5*d = 4*d - 4. List the prime factors of 1/d + (-42)/(-8).
5
Suppose 3*h - 4*l = 15, 5*l + 3 + 0 = 2*h. Let a = 16 - h. List the prime factors of a.
7
Let d be (-44)/(-5 - 9/(-3)). Suppose -5*x - 5 = 0, 3*q - 12 = -5*x + d. What are the prime factors of q?
13
Suppose 5*z - 3*m + 11 = 0, 0 = 4*z - 2*z + 2*m - 2. What are the prime factors of (z - -2 - -1)*10?
2, 5
Suppose -3*q = -t - t - 645, 0 = 3*q - t - 648. What are the prime factors of q?
7, 31
Let u(f) be the third derivative of f**5/4 + f**3/6 + 5*f**2. Let a be u(2). What are the prime factors of 15/20 - a/(-4)?
2
Let y be 3/(15/6 + -1). Let z = 7 - y. List the prime factors of 10/(z/((-10)/(-4))).
5
Let w = 2 + 0. List the prime factors of w/(-6) - (-26)/6.
2
Let p = -3 + -2. Suppose 60 = -h - 50. List the prime factors of p/15 + h/(-6).
2, 3
Suppose 0 = 3*l - 4*l + 1. List the prime factors of l*3*(1 - 0).
3
Let k = 68 + -17. What are the prime factors of k?
3, 17
Let z(r) = -r**3 + 7*r**2 + r + 8. Let j be z(7). Suppose 5*g - 3*g + 22 = 0. Let n = j + g. List the prime factors of n.
2
Let a(g) = g + 2. Let h be a(-4). List the prime factors of 180/7 - h/7.
2, 13
Let p(y) = 4*y**3 - y**2 + 1. Let s be p(1). Suppose s*h = 31 + 9. What are the prime factors of h?
2, 5
Let u = 58 - 8. What are the prime factors of u?
2, 5
Let u(y) = -3 - 10*y + 4*y + 1. List the prime factors of u(-4).
2, 11
Let s = -348 - -588. List the prime factors of s.
2, 3, 5
Let m = 1 - 1. Suppose 0 = -20*w + 16*w. Suppose -3*s + m*c = 2*c - 56, w = s - 5*c + 4. List the prime factors of s.
2
Let i(v) = -113*v + 3. What are the prime factors of i(-1)?
2, 29
Let c = 1 + 36. What are the prime factors of c?
37
Let t(m) = -m - 4. Let g be t(-3). What are the prime factors of -3*-2*(1 - g)?
2, 3
Let n(s) = 8*s - 4. Let g(i) = 7*i - 3. Let j(m) = -3*g(m) + 2*n(m). List the prime factors of j(-2).
11
Let r = 21 - -10. Let i = r + -21. Suppose 6*j = 4*j + i. What are the prime factors of j?
5
Let y = -60 - -192. List the prime factors of y.
2, 3, 11
Let u be 6 - 0*(0 + -1). Let x be 52/2 - (-5 + 7). Suppose 3*z + 3*t = u + x, -t - 26 = -3*z. List the prime factors of z.
3
Let s(g) = 3*g - 3. Let b be s(3). Let n(o) = -o**2 + 7*o. Let t be n(b). Suppose -t*q = -2*q - 24. What are the prime factors of q?
2, 3
Suppose 0 = 3*g + 3 + 3. Let o(j) = -3*j**3 + 4*j + 3. What are the prime factors of o(g)?
19
Suppose 0 = -2*v + 8*v + 7680. List the prime factors of 8/(-14) + v/(-35).
2, 3
Suppose 4*h = 0, -3*g - 24 = -6*g + 3*h. List the prime factors of g.
2
Let n = 29 + 27. What are the prime factors of n?
2, 7
Let u be (-3 - -1)*(-1)/2. Let s(n) = u - 7*n + 7*n + 10*n**2. What are the prime factors of s(-1)?
11
Let i be 92*(-6)/32*-4. Suppose 2*k + p + 24 = 62, -5*k + 4*p = -i. List the prime factors of k.
17
Let f = -48 - -97. List the prime factors of f.
7
Let x(l) = -l**3 + 5*l**2 - 2*l + 1. Let v be x(4). Let c = 4 + v. What are the prime factors of c?
13
Suppose 3*y = 2*y + p + 24, 93 = 4*y - 5*p. What are the prime factors of y?
3
Let l = -6 - -10. Let x(z) = -z + 6. Let q be x(9). Let h = l - q. List the prime factors of h.
7
Let d be (-12)/10 + (-2)/(-10). Let q = d - -3. What are the prime factors of q?
2
Let d = 578 - 384. What are the prime factors of d?
2, 97
Let n be (-4)/3*27/(-6). Suppose n*p - 2*p = 3*m + 42, 5*p = -m + 43. List the prime factors of p.
3
Let l = 229 - -64. List the prime factors of l.
293
Let w be 2*((-9)/(-6) - 2). Let t be 1 + 0 + 4 + w. List the prime factors of 9 + t + -2 + 0.
11
Suppose 0 = -2*d + 3*d - 3*r - 267, -2*d + r + 534 = 0. List the prime factors of d.
3, 89
Let n be 16/6 + 3/9. Suppose 0 = -4*x - n + 15. Suppose 0 = v - 4*m - 15, 0*v - x*v + 13 = 4*m. List the prime factors of v.
7
Let u be 250/(-15) - 1/3. Let p = 26 + u. What are the prime factors of p?
3
Suppose 0 = 14*r - 272 - 22. List the prime factors of r.
3, 7
Let s be (6 + -8)/((-2)/21). Suppose -37 = -2*t + s. List the prime factors of t.
29
Let p(b) = 5*b**2 + 2*b + 3. What are the prime factors of p


0
Round 0.00000540657923 to seven decimal places.
0.0000054
Round 99330.985 to the nearest 10000.
100000
What is 0.024226304 rounded to 3 decimal places?
0.024
What is -23665.1333 rounded to the nearest 100?
-23700
What is 34769213.3 rounded to the nearest ten thousand?
34770000
Round 1828677.76 to the nearest one thousand.
1829000
What is -1480.49606 rounded to the nearest integer?
-1480
Round -5566839.4 to the nearest 1000000.
-6000000
Round -0.00471106379 to 5 dps.
-0.00471
Round -0.03103472735 to 2 decimal places.
-0.03
What is 20092573.02 rounded to the nearest one thousand?
20093000
What is -423757.469 rounded to the nearest ten thousand?
-420000
What is 101808520 rounded to the nearest 1000000?
102000000
What is -0.1280367916 rounded to four dps?
-0.128
What is -65072743 rounded to the nearest 10000?
-65070000
What is -41447.55 rounded to the nearest ten thousand?
-40000
What is -0.0000948416319 rounded to 5 dps?
-0.00009
Round -0.5050195376 to 3 decimal places.
-0.505
What is -0.01178326 rounded to four decimal places?
-0.0118
Round 0.0036138592 to five dps.
0.00361
What is 38.6821283 rounded to the nearest ten?
40
What is 8030.623084 rounded to the nearest integer?
8031
What is -0.000000709829557 rounded to 7 decimal places?
-0.0000007
What is 25.5689699 rounded to 1 dp?
25.6
Round 0.3386210591 to five dps.
0.33862
What is 6052393.3 rounded to the nearest 1000?
6052000
Round -0.00012552616826 to seven dps.
-0.0001255
Round 0.0000340274701 to five decimal places.
0.00003
Round 42214330 to the nearest one million.
42000000
What is 5.99920077 rounded to four dps?
5.9992
What is -62013689 rounded to the nearest one hundred thousand?
-62000000
Round 56655.75522 to the nearest ten.
56660
Round -13.19208178 to zero dps.
-13
What is -1452.66748 rounded to one dp?
-1452.7
What is -0.004957387 rounded to 7 dps?
-0.0049574
What is -635.7831357 rounded to the nearest one hundred?
-600
What is 1.74890672 rounded to zero dps?
2
Round -857669.4 to the nearest 1000.
-858000
Round -33.77354119 to 3 dps.
-33.774
What is 7498707.56 rounded to the nearest one hundred thousand?
7500000
What is -294329.39 rounded to the nearest one hundred?
-294300
Round 0.001860050217 to 6 dps.
0.00186
What is 1725.912823 rounded to two decimal places?
1725.91
Round -38.7049745 to the nearest 10.
-40
What is -6.91063973 rounded to four dps?
-6.9106
Round 383960656 to the nearest one million.
384000000
What is 6.21344191 rounded to one decimal place?
6.2
Round -2.196800574 to 2 dps.
-2.2
What is -23.8490072 rounded to 3 decimal places?
-23.849
What is -15856.8007 rounded to the nearest 10?
-15860
Round 0.008268165187 to six dps.
0.008268
Round 6263160.138 to the nearest 1000.
6263000
What is 6832.24967 rounded to the nearest one hundred?
6800
Round 0.00209456 to 3 decimal places.
0.002
What is 0.15837616 rounded to four decimal places?
0.1584
What is -3649.48499 rounded to the nearest 1000?
-4000
Round -12.4787045 to three dps.
-12.479
Round -0.00000065074986 to seven decimal places.
-0.0000007
What is -0.002461958261 rounded to 5 decimal places?
-0.00246
What is -0.00000024918494 rounded to 7 dps?
-0.0000002
What is -0.00812622315 rounded to five dps?
-0.00813
Round 0.0067185272 to 5 dps.
0.00672
Round -0.638727373 to four decimal places.
-0.6387
Round 0.000105996204 to 7 dps.
0.000106
What is 5.282131096 rounded to three decimal places?
5.282
Round 0.00000487109 to 5 decimal places.
0
Round 2129122.798 to the nearest one thousand.
2129000
What is -0.0000332261379 rounded to 5 decimal places?
-0.00003
Round -0.0002661472847 to seven decimal places.
-0.0002661
Round 0.00002254318472 to five decimal places.
0.00002
What is -11.214105356 rounded to the nearest integer?
-11
Round 0.000215974055 to seven dps.
0.000216
Round 6837.14133 to the nearest ten.
6840
What is -0.068006296 rounded to 3 dps?
-0.068
What is -120378.22503 rounded to the nearest 10000?
-120000
What is 0.003160119865 rounded to six decimal places?
0.00316
What is -78808.016 rounded to the nearest one thousand?
-79000
What is -0.00093065044 rounded to 5 decimal places?
-0.00093
Round -2.277381 to the nearest integer.
-2
Round 137050387.5 to the nearest one hundred thousand.
137100000
Round 0.00832884269 to 6 decimal places.
0.008329
Round 0.0092135246 to four dps.
0.0092
Round 12.24243631 to three decimal places.
12.242
What is -5.40938661 rounded to the nearest integer?
-5
Round 0.0000139588763 to six dps.
0.000014
What is -332699.3385 rounded to the nearest 1000?
-333000
Round 24595.438 to the nearest one thousand.
25000
What is -13090.7884 rounded to the nearest one thousand?
-13000
What is 0.0166776415 rounded to five dps?
0.01668
What is 0.008764644 rounded to three decimal places?
0.009
What is -201.1862793 rounded to the nearest 10?
-200
Round -0.00022983777 to five decimal places.
-0.00023
Round -0.00348938461 to four decimal places.
-0.0035
What is -198.3860922 rounded to 1 decimal place?
-198.4
Round -0.5863298799 to three dps.
-0.586
Round 378875.7198 to the nearest ten.
378880
What is 1903489.998 rounded to the nearest one thousand?
1903000
Round -1.92072143 to 2 decimal places.
-1.92
Round -5571986.4 to the nearest 10000.
-5570000
Round -1.61462389 to two decimal places.
-1.61
Round -19645489000 to the nearest 1000000.
-19645000000
What is 719.556256 rounded to 2 decimal places?
719.56
What is 0.0793426132 rounded to four decimal places?
0.0793
Round -147.40616606 to one decimal place.
-147.4
What is 0.2175981981 rounded to 4 dps?
0.2176
Round -6.05600232 to one dp.
-6.1
What is 0.00073577596 rounded to seven dps?
0.0007358
What is -7.63879716 rounded to the nearest integer?
-8
Round -0.006080886035 to 7 dps.
-0.0060809
What is -0.000022667569 rounded to six decimal places?
-0.000023
What is -0.0001113708418 rounded to 6 dps?
-0.000111
What is 0.0000022766261 rounded to 7 decimal places?
0.0000023
What is -30703.6184 rounded to the nearest 10?
-30700
Round -131.78933 to the nearest 10.
-130
Round 199142558 to the nearest 100000.
199100000
Round 17033.1135 to the nearest 1000.
17000
Round -0.00003817796293 to 5 dps.
-0.00004
What is 89.06462 rounded to the nearest 10?
90
What is -10032.9411 rounded to the nearest 1000?
-10000
What is -1129676.406 rounded to the nearest 100000?
-1100000
What is -1.367045458 rounded to 1 decimal place?
-1.4
Round 0.000002145651772 to 7 decimal places.
0.0000021
Round 72.58949882 to three decimal places.
72.589
Round -91045422 to the nearest 1000000.
-91000000
Round 676604.256 to the nearest one thousand.
677000
What is -0.0116642887 rounded to five dps?
-0.01166
What is -13353.85091 rounded to the nearest 10?
-13350
What is -2.313417161 rounded to 0 dps?
-2
What is -0.00059894541 rounded to four dps?
-0.0006
What is -0.00000419181105 rounded to six dps?
-0.000004
Round -34624.11296 to 0 decimal places.
-34624
What is -15800592.55 rounded to the nearest one thousand?
-15801000
What is 0.03067882 rounded to 2 decimal places?
0.03
Round 10.436831166 to one decimal place.
10.4
Round 538656884 to the nearest 100000.
538700000
What is 6557008.73 rounded to the nearest 10000?
6560000
Round 0.2764780876 to one dp.
0.3
Round 1.34092214 to one decimal place.
1.3
Round -7784.5743 to the nearest 10.
-7780
What is 27423.5046 rounded to the nearest integer?
27424
What is -0.1944176112 rounded to two dps?
-0.19
What is 12339504 rounded to the nearest 10000?
12340000
Round 281085976.7 to the nearest 1000000.
281000000
What is 18567603.81 rounded to the nearest 1000000?
19000000
Round 188.34363251 to three decimal places.
188.344
Round 0.00012917146831 to 6 decimal places.
0.000129
Round -1.033948863 to 4 decimal places.
-1.0339
Round -33921151.8 to the nearest 1000.
-33921000
What is 1.414363 rounded to the nearest ten?
0
Round 55.018017 to two dps.
55.02
What is -0.1697553904 rounded to 6 decimal places?
-0.169755
Round -1.142961907 to 3 decimal places.
-1.143
Round 315118932.95 to the nearest 1000000.
315000000
What is 416198.726 rounded to the nearest 100000?
400000
What is 1869303.88 rounded to the nearest 100000?
1900000
Round -227937.727 to the nearest ten.
-227940
What is -461.929749 rounded to the nearest one hundred?
-500
Round 0.0241254299 to four decimal places.
0.0


) 10  (c) 0.5
b
What is the nearest to 0 in 4.02, 2, -28/15, 0?
0
What is the nearest to -16 in 138, 3/8, 148, -13?
-13
Which is the nearest to 9?  (a) -3  (b) -0.2  (c) 9/2  (d) -360  (e) -0.5
c
Which is the closest to 0?  (a) 1494  (b) 2/3  (c) 0.2  (d) 0  (e) 2
d
What is the closest to 1/9 in -123.7, 3, -9.4, -0.5?
-0.5
What is the closest to 1 in 25135, -1/4, -5/2, 4, -5?
-1/4
Which is the closest to 2496?  (a) 3  (b) -3  (c) -1550  (d) -5  (e) -2/5  (f) 4
f
Which is the closest to 1?  (a) 0  (b) -85843  (c) -0.15  (d) 2/11  (e) -4
d
Which is the nearest to 8?  (a) -4/7  (b) -0.2435  (c) 43
b
What is the closest to 0.085 in -2/19, -2, 1.4, -4, 0?
0
Which is the closest to -3.421?  (a) -7  (b) -0.1  (c) -2/55  (d) -1/4  (e) -3/2  (f) 2/11
e
What is the nearest to 4 in -1, -38, 997?
-1
Which is the closest to 1/5?  (a) -682  (b) 5  (c) 1  (d) 15  (e) -0.2  (f) 13
e
Which is the nearest to -0.3?  (a) -1  (b) 1/10  (c) 4  (d) -10.99179  (e) -0.02
e
Which is the closest to 0?  (a) 923  (b) 24  (c) -5  (d) -2
d
What is the nearest to 1.5 in 6/2221, -1, 0?
6/2221
Which is the nearest to -4?  (a) 0.2  (b) -3  (c) 1/3  (d) -5.416
b
Which is the closest to -1/2?  (a) 3  (b) -1  (c) -1/3  (d) 3/8  (e) -13834
c
What is the closest to 7414 in 5, -3, 47?
47
What is the closest to -1 in -5, 83119, 1?
1
Which is the nearest to -1?  (a) 0.3  (b) -69/11  (c) -1/4  (d) 10.95
c
Which is the nearest to -0.1?  (a) -26/9  (b) 455  (c) 4/5
c
What is the closest to -1/5 in 1987, -190, -0.1?
-0.1
What is the nearest to 1/6 in 0.0717, -0.5, -11/36, 3?
0.0717
What is the closest to 2/7 in 0.28, 2/5, 0.0448, -0.179?
0.28
What is the closest to -2/35 in -100, -4, 0.1, 54/67?
0.1
What is the closest to -3 in 5/8, 0.1, -0.9, -3?
-3
Which is the closest to 1?  (a) 0.1  (b) 0.05  (c) 1771.2
a
Which is the closest to -2/5?  (a) 97  (b) 14  (c) -0.0328
c
Which is the nearest to -1/4?  (a) 332  (b) -1/7  (c) 93/5  (d) 8/15
b
What is the nearest to 25 in 0.3, 3, -20/3, -3, 5?
5
Which is the closest to -1?  (a) 12/7  (b) 320.6  (c) -0.3  (d) -5  (e) 2  (f) -96/7
c
What is the nearest to -2/5 in -5, -7/3, 2, -7, -18?
-7/3
What is the closest to -4/3 in -32, 2, 22/81?
22/81
What is the nearest to -19/4 in -0.258, 3/5, 694?
-0.258
What is the nearest to 2 in -2, -3, 547, 35?
-2
Which is the closest to -0.1?  (a) -4/7  (b) 0.4  (c) -182  (d) 0.04342
d
Which is the nearest to -10?  (a) -18  (b) 2  (c) 0.131485
a
Which is the closest to -2?  (a) -11/31  (b) 5  (c) -75  (d) 0.11
a
Which is the closest to -258?  (a) 1  (b) -95  (c) -1/3
b
What is the closest to -322 in -4, 2, 9, 8/3, 5, -3/5?
-4
What is the closest to 0.6 in -0.2, -2/23, -800, -2, -4?
-2/23
Which is the closest to -1/17?  (a) 102  (b) -1/6  (c) -3/2  (d) 0.4  (e) 1
b
What is the closest to -3/8 in 781, -1.1, 2/11?
2/11
Which is the closest to 1/118?  (a) 7/4  (b) 0.06  (c) 4  (d) 3  (e) -0.04
e
What is the nearest to -2 in 0.1, 7.5, 409, 194?
0.1
What is the nearest to 2/5 in 9, -4, 265, -0.02, -0.04?
-0.02
Which is the nearest to -1/2?  (a) 4  (b) 89/10  (c) 1/4  (d) -3  (e) -336
c
Which is the closest to -0.02?  (a) -2  (b) 37  (c) -243  (d) 3  (e) -1/2
e
What is the nearest to 9 in -0.1, 0.0402, -5, -18, 2/5?
2/5
Which is the closest to 1/4?  (a) -19  (b) 13.9  (c) -335  (d) 3
d
Which is the nearest to 1/36?  (a) -2/7  (b) -1  (c) 4/5  (d) -1/12  (e) -0.19
d
What is the nearest to 0 in -1, -3, -5, -251/735?
-251/735
What is the nearest to -2 in 18.3, 4, -116, 7/10, 1/6?
1/6
Which is the closest to 0.6?  (a) 5  (b) 2  (c) -3.94
b
What is the nearest to -163.716 in -3, -13/3, -2?
-13/3
What is the closest to -60 in 5, 1092/19, -0.5, 3/4, 0.9?
-0.5
What is the nearest to -1 in 0.036, -2/13, 1/2, -2/57, 16/59?
-2/13
What is the nearest to -0.1 in -1/2, 4, 2, -4, 9941, 0.12?
0.12
What is the nearest to -2 in -1/4, -63, 2843, 2/3, 3?
-1/4
Which is the closest to 4/3?  (a) 0.4  (b) -1/4  (c) 1/16753
a
What is the nearest to 1 in 1/2, -1/14963, 0.4, -1/2, -1?
1/2
Which is the closest to -1/3?  (a) -2/7  (b) -3  (c) -12815  (d) 327
a
What is the closest to 10 in -26/5, -1411, 2/5?
2/5
What is the nearest to 8 in 13, 0.04, 0.01759?
13
What is the nearest to 1 in -0.09, 21/5, 11380?
-0.09
What is the closest to -13.3 in -10, -172, 1, -2?
-10
Which is the closest to 0?  (a) 8  (b) 1/14  (c) 1267
b
Which is the nearest to 37?  (a) 0.009  (b) -2/159  (c) -0.1
a
Which is the nearest to 0.2?  (a) -80  (b) 614/15  (c) -0.56  (d) 3
c
Which is the nearest to 5/43?  (a) 5  (b) -218  (c) 1/3  (d) 10
c
Which is the closest to 1/3?  (a) 6461  (b) -0.037  (c) -9
b
Which is the nearest to 1/21?  (a) -8/3  (b) -200  (c) -9  (d) 0.3
d
Which is the nearest to -1?  (a) -2  (b) 59  (c) -1/5  (d) 412  (e) -3  (f) 1/3
c
What is the closest to -0.32286 in -74, 1, -4?
1
Which is the closest to 1154?  (a) -0.0352  (b) 1.9  (c) -1
b
What is the nearest to 2 in 26, -4, 1/377501?
1/377501
What is the closest to 181 in -0.947, 0.1, -2/53?
0.1
Which is the nearest to 2/3?  (a) 63  (b) -0.2  (c) -4/5  (d) -108  (e) 2  (f) -3
b
Which is the closest to 32?  (a) 1/6  (b) 6  (c) 64
b
What is the closest to -1/4 in -11, 9, 0.4, -9/4, 35/31?
0.4
Which is the closest to -3/8?  (a) 103  (b) -1130  (c) -3  (d) -2/15
d
Which is the closest to 0.81?  (a) -4  (b) 1.6  (c) -3/8  (d) -0.12
b
Which is the nearest to -37.5?  (a) 32  (b) -2  (c) -0.034
b
Which is the nearest to 9/850?  (a) 5  (b) -37  (c) 0.7
c
Which is the closest to -46?  (a) -4/11  (b) -39.82  (c) 2
b
Which is the closest to -1?  (a) 228  (b) 1/6  (c) -0.17  (d) 0.92  (e) -3/7  (f) 5/2
e
Which is the closest to 2/21?  (a) -4  (b) -3/7  (c) -250  (d) -2/33
d
What is the nearest to -1.1 in -1391495, -2/9, -2/3, 7?
-2/3
Which is the nearest to 0.06?  (a) -0.1772  (b) 86  (c) 13
a
What is the nearest to 95 in -46/5, -1/4, -0.08?
-0.08
Which is the nearest to 0.1?  (a) 3357  (b) -0.4  (c) -5  (d) -1.7
b
Which is the nearest to -1/3?  (a) 0.0119  (b) -0.5  (c) -3  (d) -5.303
b
What is the nearest to 2/5 in 1, -22, 224, 8, 3/4, -0.07?
3/4
What is the nearest to 0.3 in -1, -5, 29.4051, 5/3?
-1
Which is the nearest to 490?  (a) -0.4  (b) -1.5  (c) 2/5  (d) 0.03  (e) 1/3
c
What is the closest to 0 in -5, -1/3, 1/6, -28/11, 1935?
1/6
What is the nearest to 1/4 in -5, 3, -0.07, 0.2, 1/107?
0.2
What is the closest to -4 in -3/4, 0.1, 2, 23413?
-3/4
Which is the closest to -360?  (a) -0.2  (b) 2/5  (c) 0.039  (d) 1  (e) 4
a
What is the closest to -86 in 0.1, -14822/13, 9?
0.1
Which is the closest to 0?  (a) 0.279  (b) 2/53  (c) 0.32
b
What is the closest to 1.5 in 0.5, -672, 5/6, 81, 2?
2
Which is the nearest to 0.082?  (a) 7  (b) -14  (c) -8  (d) 0.5
d
What is the nearest to -8 in 5, 4, -149, 2/13, 1/2?
2/13
What is the closest to 1 in 3649, -3, -3/94?
-3/94
What is the closest to -101.4 in 2/9, -2/5, -13, 1/4, -2?
-13
Which is the closest to 1.3?  (a) -1/3  (b) -4  (c) 2/5  (d) 42  (e) -65  (f) 2/11
c
Which is the nearest to -2/5?  (a) 4  (b) 0  (c) -654878  (d) 1/2
b
What is the nearest to -12/11 in -3, 1.2, 264512?
-3
Which is the nearest to -3?  (a) 12  (b) 2  (c) -179/4
b
Which is the nearest to -0.1?  (a) 50  (b) 2  (c) -2/11  (d) -1/39  (e) -0.1
e
What is the closest to 2 in 2/7, 2, -0.1, -235/9, 1/10?
2
What is the closest to 96 in 4, -258/7, 5, -3, -1.1?
5
Which is the closest to -50?  (a) -383  (b) 1/2  (c) -5  (d) -1.9  (e) -21
e
What is the nearest to 1 in 2/15, 6, 4527, -0.12, 0, 0.1?
2/15
Which is the nearest to 4?  (a) 29185  (b) 0.06  (c) -1  (d) 2  (e) 3  (f) 1/3
e
Which is the nearest to 1?  (a) -1.2  (b) 75  (c) -3/5  (d) 40
c
Which is the closest to 2/141?  (a) -1/2  (b) 1/9  (c) 3/2  (d) 2/5  (e) -13/4  (f) -24
b
Which is the closest to -1.45?  (a) 0.7  (b) 187  (c) 71
a
What is the nearest to 1 in -1/4, -0.5, 3, -207031/5, 4?
-1/4
Which is the closest to 70.1?  (a) -1  (b) 2/61  (c) 460
b
What is the closest to 6/5 in -0.5, -0.11, 6, 115, -9, -0.3?
-0.11
What is the nearest to -0.04 in 4, -1/5, -2/17, -16/13, 2/15?
-2/17
What is the closest to 3/2 in -2503, -40, 1/3?
1/3
Which is the closest to 0.3?  (a) 0.1  (b) 2688  (c) -0.09  (d) 0.11  (e) -1/5
d
Which is the nearest to -2/3?  (a) 3  (b) -0.005344826  (c) -0.2  (d) -3
c
Which is the nearest to 3940?  (a) -0.4  (b) 7  (c) -3  (d) -7  (e


 - 1)**2*(3*c + 1)
Let q(t) be the third derivative of -t**8/1680 + t**7/350 - t**6/300 - t**5/150 + t**4/40 - t**3/30 + 9*t**2. Let q(r) = 0. What is r?
-1, 1
Let u(l) be the second derivative of l**4/12 - l**2/2 - l. Solve u(d) = 0.
-1, 1
Let z be 51/(-9)*(-6)/(-2). Let b = z + 20. Factor 1/4*i - 1/4*i**b + 0 + 0*i**2.
-i*(i - 1)*(i + 1)/4
Factor 0*k + 0*k**3 + 0 + 0*k**2 + 2/13*k**4.
2*k**4/13
Determine q so that 0*q**2 + 0*q**4 + 3/5*q + 3/5*q**5 + 0 - 6/5*q**3 = 0.
-1, 0, 1
Let i(q) be the second derivative of -1/6*q**4 + 1/30*q**6 + 0 + 3*q + 0*q**3 + 0*q**5 + 1/2*q**2. Determine j, given that i(j) = 0.
-1, 1
Let g(f) be the third derivative of -3*f**6/220 - 7*f**5/110 - 4*f**4/33 - 4*f**3/33 + 23*f**2. Let g(v) = 0. Calculate v.
-1, -2/3
Let q(j) be the first derivative of -j**3 + 7/4*j**4 - 1 + j - 6/5*j**5 + 3/10*j**6 + 0*j**2. Let z(m) be the first derivative of q(m). Solve z(p) = 0 for p.
0, 2/3, 1
Let h(w) be the third derivative of w**8/168 + w**7/35 + w**6/60 - w**5/10 - w**4/6 + 56*w**2 + 2. Factor h(c).
2*c*(c - 1)*(c + 1)**2*(c + 2)
Let -2/7*b**3 + 4/7*b**2 + 0 - 2/7*b = 0. Calculate b.
0, 1
Let d(b) = -b**2 - 7*b + 2. Let o be d(-6). Factor 3*a - 5*a - 2*a - o*a**3 - 12*a**2.
-4*a*(a + 1)*(2*a + 1)
Factor -2/13*r**4 + 2/13 + 0*r**2 - 4/13*r**3 + 4/13*r.
-2*(r - 1)*(r + 1)**3/13
Let l be (2/(-10))/(21/(-35)). Let -l + 5/3*k**2 + k**3 + 1/3*k = 0. Calculate k.
-1, 1/3
Let t(g) be the second derivative of g**6/300 + g**5/75 + g**4/60 - 3*g**2/2 + g. Let b(k) be the first derivative of t(k). Factor b(x).
2*x*(x + 1)**2/5
Let t = -1 - -5. Solve 2*x**2 - x + 0*x**2 - x - t*x**2 = 0.
-1, 0
Let g(p) be the first derivative of p**4 + 16*p**3/3 + 2*p**2 - 24*p - 38. Factor g(z).
4*(z - 1)*(z + 2)*(z + 3)
Let i(c) be the third derivative of 0 + 0*c**3 - 1/144*c**4 - 1/720*c**6 + 0*c - 3*c**2 + 1/180*c**5. Factor i(a).
-a*(a - 1)**2/6
Let n(m) = 140*m**3 - 140*m**2 + 4*m + 20. Let r(z) = -z**2 - 1. Let j(k) = -n(k) - 12*r(k). Factor j(b).
-4*(b - 1)*(5*b + 1)*(7*b - 2)
Let w(z) be the first derivative of z**3 + 9*z**2/2 + 6*z - 6. Suppose w(q) = 0. Calculate q.
-2, -1
Let v be 0 + 2 + (-15)/(-5). Suppose -3 = i - v*u, 4*i - 4*u - 3 = u. Solve 0*y**i + 2/7*y**3 + 0*y + 0 = 0 for y.
0
Let 3 - 3/2*i - 3/2*i**2 = 0. Calculate i.
-2, 1
What is q in -1/4*q**2 + 0*q**3 + 1/4*q**4 + 0*q + 0 = 0?
-1, 0, 1
Let j(k) be the second derivative of 0 + 1/4*k**4 + 0*k**2 - 1/10*k**6 - 5*k - 3/20*k**5 + 1/2*k**3. Factor j(l).
-3*l*(l - 1)*(l + 1)**2
Let d(i) = 3*i**4 + 24*i**3 + 36*i**2 + 24*i + 15. Let b(v) = v**3 - v + 1. Let s(t) = -6*b(t) + d(t). Factor s(q).
3*(q + 1)**3*(q + 3)
Suppose 0 = 7*v - 12*v + 20. Factor 0 + 8*w**2 + 26/3*w**3 + v*w**4 + 2/3*w**5 + 8/3*w.
2*w*(w + 1)**2*(w + 2)**2/3
Let q(t) be the third derivative of 0*t**3 + 0*t + 0 + 0*t**4 - 1/20*t**5 - 2*t**2. What is z in q(z) = 0?
0
Let r = -2 + 5. Suppose 6*x**3 - 8*x**2 - 4*x**3 + 0*x**r + 2*x**3 + 4*x = 0. What is x?
0, 1
Find d, given that 1/4*d**3 + 1/4*d**2 + 0 + 0*d = 0.
-1, 0
Let b = 15827/9 + -1753. Suppose -k - z = -1, 0 = 13*k - 10*k + 5*z + 1. Suppose b*h**4 + 56/9*h + 16/9 - 110/9*h**k - 4/3*h**2 = 0. What is h?
-2/5, 1, 2
Let u(n) be the second derivative of -13/3*n**4 + 0 - 4*n - 2/15*n**6 - 8*n**3 - 8*n**2 - 6/5*n**5. Let u(t) = 0. Calculate t.
-2, -1
Let r = 46 - 91. Let q be 6/r*3*-2. Factor 2/5*b**3 + 0 + 2/5*b + q*b**2.
2*b*(b + 1)**2/5
Factor -3/4*z**2 + 1/4*z**4 + z + 1 - 1/2*z**3.
(z - 2)**2*(z + 1)**2/4
Let y(o) = -2*o - 16. Let p be y(-17). Suppose -14*r = -p*r. Solve -2/7*i + 2/7*i**2 + r = 0 for i.
0, 1
Suppose j = 3 + 1. Suppose 0*q = -j*q. What is o in -2/7*o**5 - 8/7*o + 12/7*o**4 - 26/7*o**3 + q + 24/7*o**2 = 0?
0, 1, 2
Let o(s) = -s**2 - s. Let c(z) = -3*z**2 - 2*z - 4. Let k(w) = c(w) - 4*o(w). Let q be k(-4). Find p such that q*p + 2 - 4*p**3 + 6*p - 6*p - 2*p**4 = 0.
-1, 1
Let a(r) = -2*r**4 - 12*r**3 + 34*r**2 + 4*r - 12. Let o(k) = -k**4 - 11*k**3 + 34*k**2 + 4*k - 11. Let y(t) = 5*a(t) - 4*o(t). Solve y(g) = 0.
-4, -2/3, 1
Factor -42*b - 2/3*b**3 - 98/3 - 10*b**2.
-2*(b + 1)*(b + 7)**2/3
Suppose -2*p = -13 + 7. Factor -q + 3 - 1/3*q**p - 5/3*q**2.
-(q - 1)*(q + 3)**2/3
Solve 0*i - 2/7*i**2 + 2/7 = 0 for i.
-1, 1
Suppose 0*q = 5*q - w - 10, -2*q = -w - 4. Factor 4*y + 24*y**q - 11*y**4 + 2*y**3 - 38*y**4 + 16*y**3 + 3*y**3.
-y*(y - 1)*(7*y + 2)**2
Let f(z) be the first derivative of -4*z**5/5 - 3*z**4/2 + z**2 - 2. Factor f(p).
-2*p*(p + 1)**2*(2*p - 1)
Factor -117/7*v**2 + 40/7*v + 81/7*v**3 - 4/7.
(v - 1)*(9*v - 2)**2/7
Let j be (3/(105/4))/(58/145). Factor j*b**2 + 0 + 0*b.
2*b**2/7
Let y(m) be the third derivative of -m**9/241920 + m**8/80640 - m**5/15 - 2*m**2. Let i(a) be the third derivative of y(a). Determine l, given that i(l) = 0.
0, 1
Determine o, given that 7*o - 9 + 13*o**2 + 11 - 8*o**2 = 0.
-1, -2/5
Suppose -5*a - 2 = -17. Let q be (-2)/(3/a + -5). Factor q*n**3 + 0 - n**2 + 1/2*n.
n*(n - 1)**2/2
Suppose -9 - 10*t**5 - 740*t**3 + 233*t**2 - 35*t**5 + 305*t**4 + 487*t**2 - 160*t - 71 = 0. What is t?
-2/9, 1, 2
Let q(d) be the first derivative of -d**7/147 + 2*d**6/105 + d**5/70 - d**4/21 + 6*d - 4. Let g(r) be the first derivative of q(r). Find x, given that g(x) = 0.
-1, 0, 1, 2
Let t(d) = -3*d - 1. Let q be t(2). Let s be q/35*(0 - 2). Factor 0*l + 2/5*l**4 - 2/5*l**5 - 2/5*l**2 + 0 + s*l**3.
-2*l**2*(l - 1)**2*(l + 1)/5
Factor -3/4 + 3/4*j**2 - 3/4*j + 3/4*j**3.
3*(j - 1)*(j + 1)**2/4
Suppose -4 = g - 2*c - 0*c, 5*g + c + 53 = 0. Let z be 10/(-18)*4/g. Factor z*y**2 - 4/9 - 2/9*y.
2*(y - 2)*(y + 1)/9
Solve 5*o**3 + 2*o**3 - 6*o**3 + 2*o**2 - 2*o**4 - o = 0.
-1, 0, 1/2, 1
Let h(j) be the third derivative of -5*j**8/56 + 23*j**7/84 - 13*j**6/48 + j**5/12 - 6*j**2. Suppose h(p) = 0. Calculate p.
0, 1/4, 2/3, 1
Let k(o) = -4*o**3 + 6*o**2 + 6. Let t(s) = -3*s**3 + 5*s**2 + 5. Let b(d) = -5*k(d) + 6*t(d). Determine l, given that b(l) = 0.
0
Suppose 4*u = -3*d + 8, -u + 7 = -d + 3*d. What is q in -d + 2 - 4 + 4*q**2 - 10*q = 0?
-1/2, 3
Let s(f) = 7*f**2 - f - f**3 + 2*f + 0*f**3 + 7*f**3. Let a(q) = q**3 + q**2. Let j(g) = -5*a(g) + s(g). Determine p so that j(p) = 0.
-1, 0
Let u = 3 + -1. Factor -o**2 - 3*o - 1 - 4*o + 3*o + u*o.
-(o + 1)**2
Let p = -8 - -8. Suppose 0 = -p*f + f. Factor -1/3*r**2 + 1/3*r + f.
-r*(r - 1)/3
Let u = -20/3 - -7. What is p in -1/3*p**2 - u + 2/3*p = 0?
1
Let c(s) be the third derivative of s**5/80 + s**4/16 - 2*s**2 + 24*s. Factor c(b).
3*b*(b + 2)/4
Suppose 0 = 18*i - 11*i. Let 1/4*b + i - 1/4*b**3 + 0*b**2 = 0. What is b?
-1, 0, 1
Let z = -5 - -7. Suppose 0 = -z*k - 0*k + 6. Factor -i**3 - 3*i**2 - i**2 - 2*i - i**k.
-2*i*(i + 1)**2
Factor 2/11*o**4 - 36/11*o**2 + 8/11*o**3 - 14/11 + 40/11*o.
2*(o - 1)**3*(o + 7)/11
Let j be (-10)/(-30) - (-1083)/45. What is i in -28/5*i**3 - 114/5*i**2 + j*i**4 - 56/5*i - 8/5 + 84/5*i**5 = 0?
-1, -2/3, -1/2, -2/7, 1
Let y(h) be the third derivative of -h**6/180 - h**5/15 - h**4/3 + h**3/3 + h**2. Let q(t) be the first derivative of y(t). Factor q(n).
-2*(n + 2)**2
Let a = 47 + -45. Factor 0*d + a*d**4 + 18/7*d**3 + 4/7*d**2 + 0.
2*d**2*(d + 1)*(7*d + 2)/7
Let z(o) = o**2 + 12*o - 23. Let f be z(-14). Let d(u) be the third derivative of 1/90*u**f + 0*u**4 + 0 - 3*u**2 + 0*u + 0*u**3. Factor d(i).
2*i**2/3
Let a be (-2)/8 - ((-68)/(-48) + -2). Factor 1/3 - 2/3*l + a*l**2.
(l - 1)**2/3
Factor 1/3*n**3 + 0*n - 4/3*n**2 + 0.
n**2*(n - 4)/3
Factor 9*z**2 + z**4 - 6*z**4 + 3*z**3 + z**5 + 3*z**4 - 3*z**4.
z**2*(z - 3)**2*(z + 1)
Suppose -5*t = -4*f + 45, 5*f - 15 = -3*t + t. Let s(j) be the third derivative of 3*j**2 - 1/420*j**6 + 0 - 1/84*j**4 + 0*j**3 - 1/105*j**f + 0*j. Factor s(v).
-2*v*(v + 1)**2/7
What is v in -2/3*v**3 + 4/3*v + 2/3*v**2 + 0 = 0?
-1, 0, 2
Let x(d) be the second derivative of -1/12*d**4 - 1/2*d**2 + d + 0 + 1/6*d**3. Let p(b) = 5*b**2 - 7*b + 6. Let h(n) = p(n) + 6*x(n). Factor h(a).
-a*(a + 1)
Let w(j) be the second derivative of j**6/10 - 3*j**5/20 - j**4/4 + j**3/2 + 8*j. Let w(z) = 0. Calculate z.
-1, 0, 1
Let w be ((-48)/60)/((-9)/30). Factor 1/3*o**2 + w*o + 4/3 - o**3.
-(o - 2)*(o + 1)*(3*o + 2)/3
Let w = -10 - -12. Let z = -11 - -14. Solve 0 - 1/3*q + 4/3*q**z - q**w = 0.
-1/4, 0, 1
Let f(x) be the first derivative of -x**8/840 + x**6/180 -


) = a**2 + 14*a + 19. What is the lowest common multiple of 18 and l(-13)?
18
What is the common denominator of ((-1914)/(-440))/((-3)/(-2)) and (16*4*1)/(-3)?
30
Find the common denominator of 87/20 and (-3)/(-54)*(-786)/(-14).
420
Suppose 70 + 38 = 4*j. Suppose 5*y - j = 13. What is the least common multiple of y and 28?
56
Let r = -8 + 14. Calculate the lowest common multiple of 2 and r.
6
Let g be (3 - 4 - 3)/(-2). Suppose 2*n - 36 = -g*n. Calculate the smallest common multiple of ((-6)/9)/((-4)/66) and n.
99
Let h(o) = o + 21. Let w(g) = g**3 + 6*g**2 + 3*g + 4. What is the smallest common multiple of w(-3) and h(-13)?
88
Suppose 53 = 11*j - 46. What is the smallest common multiple of 18 and j?
18
Let f = -23353849865/2581546 - -3919156/433. Let w = f + 91/271. Find the common denominator of w and -39/10.
110
Let r = 15 + 3. Calculate the lowest common multiple of 51 and r.
306
Let z = -757/3 - -2839/12. What is the common denominator of z and 99/14?
28
Let o be (8/6)/((-753)/(-18)). Let k = o + 14534/753. What is the common denominator of (16/56)/((-16)/(-14)) and k?
12
Let l = -4804575 + 3130302. Let j = 361643993/216 + l. Let k = j - 5/216. What is the common denominator of k and 107/18?
18
Suppose -5*y + y + 28 = 0. Let d = -20 + 29. What is the lowest common multiple of 184/18 - 2/d and y?
70
Let i = 28361/2604 + 11/434. Calculate the common denominator of i and 121/6.
12
Let v = -7 + 15. Suppose -2*z + v = 2*z, 0 = -3*t + z + 31. Let y(h) = 2*h + 44. Calculate the lowest common multiple of y(-21) and t.
22
Let k(y) = y**2 - 4*y - 1. What is the smallest common multiple of 1 + 6*21/6 and k(5)?
44
Let l(a) = -a**2 - 9*a + 1. Let t be l(-9). Suppose -33 + t = -4*m. Calculate the least common multiple of m and 2.
8
Suppose -17*d + 20*d = -81. What is the common denominator of 41/8 and d?
8
Let s = 0 + 3. Let w be (-1)/s + (-48)/(-9). What is the lowest common multiple of (-2)/(w/(55/(-2))) and 8?
88
Let k be 1532/(-9246) + (-4)/(-24). Let u = 81685/12328 - k. Calculate the common denominator of u and 5/8.
8
Let i(s) = s**3 + 4*s**2 + s - 2. Let c be i(-3). Let v be c/(-22) + (-356)/(-22). Calculate the smallest common multiple of 5 and (v/(-20))/((-4)/30).
30
Let w(t) = 3*t - 9 - t**2 + 7 + t**3 - t. What is the smallest common multiple of w(2) and 6?
6
Calculate the common denominator of (-110)/48 - 4/(-8 + -8) and -55/27.
216
Suppose -4*y + 2*y + 98 = 0. Calculate the smallest common multiple of 5 and 46/14 + (-14)/y.
15
What is the lowest common multiple of ((-2)/(-4))/(3/66) and 5?
55
Let b(i) = -i**3 + 9*i**2 - 7*i - 3. Calculate the lowest common multiple of b(8) and 9.
45
Suppose 44 = 16*h - 14*h. Suppose 5 - 15 = -p. What is the least common multiple of p and h?
110
Suppose 6*q = 2*q + 8. Suppose z + 4*z - 25 = 0. Let c = z - -4. Calculate the smallest common multiple of c and q.
18
Suppose -3*g - 3 = -3*u, -2*g = -5*u - 9 + 29. Let h be 0 + u/(6/(-2)). Let i = 7 + h. What is the smallest common multiple of 2 and i?
10
Let u = -1946245/8 - -243943. Let x = 665 - u. Find the common denominator of x and (-92)/6*(-1 + 0).
24
Let m = 10 - 5. Suppose 2*b - m*h = -2*h + 19, 15 = -5*b - 5*h. Suppose -9 - 9 = -b*j. Calculate the lowest common multiple of 7 and j.
63
Let h = 0 - 4. Suppose k = 3*r + 9, -27 = -4*k + 5*r - 5. Calculate the common denominator of 79/12 and (k/h)/(6/68).
12
Let m = -71166121411639/17018544091835 + 56/2336107631. Let a = -1/7285 + m. Find the common denominator of (-47)/2 + -6 + 8 and a.
22
Let o = -554/7 + 1111/14. What is the common denominator of 2/9 + (-399)/216 and o?
56
Let v = 0 + 2. Let o = 21460/7 - 3058. What is the common denominator of o and (v/6)/((-1)/13)?
21
Suppose -4 = -2*b + 8. Let i(f) = 1 + f**2 - 5 + 3 + 2*f. Calculate the least common multiple of b and i(-4).
42
Suppose -3*g - 2*g + 37 = 2*y, -3*g + 3 = 0. Let k = 20 + 4. Suppose d - k = -d. Calculate the least common multiple of d and y.
48
Let s(o) = o**2 - 9*o + 11. What is the least common multiple of 9 and s(8)?
9
Let p = 427/8 + -44. Find the common denominator of 31/2 and p.
8
Let i be (-1)/(-3) + (-73945)/5415. Let o = i - 4/361. Find the common denominator of o and 46/3.
3
Suppose 2*q - 34 = 3*c - 6*c, 4*c - 71 = -5*q. What is the smallest common multiple of q and 1?
11
Suppose -4*n - 2*n + 42 = 0. What is the least common multiple of n and 5?
35
Suppose -c - 3*j - 29 = -3*c, 0 = -3*c + 5*j + 41. Suppose 0 = -5*f - g + 30 + 6, -2*g - 16 = -f. What is the smallest common multiple of c and f?
88
Let o be (-4)/(-6) - 8/(-26). Let i = o + 3793/390. Calculate the common denominator of 85/22 and i.
110
Let b = -3058197/14 - -218251. Let v = b + 391/2. Calculate the common denominator of 0 + (-2 - 122/12) and v.
42
Suppose 5*l + 5*s - 778 = 47, 2*l + 5*s - 345 = 0. What is the least common multiple of l and 2?
160
Let d(g) = 16*g**2 - g - 2. Let x be d(-3). What is the common denominator of 55/6 and (9/(-6))/(5/x)?
6
Let r = -8 + 8. Suppose 0*k - 5*k + 5 = r, -k = q - 5. Let t(l) = l - 6. Calculate the least common multiple of q and t(8).
4
Let k(t) = t**3 + 8*t**2 - 10*t - 8. Let c be k(-9). Suppose 2*i - 2 = -5*y, 4*y = 3*i - c + 21. Calculate the least common multiple of y and 1.
2
Suppose -2*i - 37 + 108 = 5*s, 0 = 3*i + 4*s - 96. Let j = 6849 - 54725/8. Calculate the common denominator of 8/(-28) - 482/i and j.
8
Let j = -8108 - -218875/27. Find the common denominator of -97/18 and j.
54
Suppose -p - 2*p = -33. Suppose 17 + 19 = 4*y. Suppose y = m + 6. What is the smallest common multiple of p and m?
33
Let o = -1235/292 + -3/146. What is the common denominator of o and ((-110)/(-6))/(16/(-6))?
8
Let c = 180543/26 - 6948. Calculate the common denominator of -101/14 and c.
182
Let j be ((-14)/(-30))/(174/(-685)). Let h = j + 1/261. Calculate the common denominator of h and -75/8.
24
Let u be -75*3/9*-14. Let i = 1698/5 - u. Find the common denominator of i and 58/9.
45
Let b be 11/(-6)*(-417)/39. Let a = b + -4/39. What is the common denominator of a and -83/18?
18
Let g(o) = -7*o - 1. What is the least common multiple of g(-1) and 2?
6
Let n = -91/5 + 841/55. Let r be -1*(3 - 3)/2. Find the common denominator of n and 55/(1 - (-7 - r)).
88
Let o be (40/2)/(1/1). Let v = o - 12. Suppose -3*w + v*w - 10 = 0. Calculate the least common multiple of w and 4.
4
Let h be -1 + 0 + 4 + 0. Suppose h*c = 13 - 4, -4*j + 38 = 2*c. Calculate the lowest common multiple of j and 5.
40
Suppose -u - 3*m + 11 = 0, -u + 3*m + 14 = 3*u. Suppose -11 - u = -4*p. Suppose 33 = p*t - 39. What is the smallest common multiple of 18 and t?
18
Suppose 10 = -q + 6*q. What is the lowest common multiple of 6 and q?
6
Let i = 17 + 5. Calculate the lowest common multiple of i and 18.
198
Let n = 4 - -29. Find the common denominator of -20/3 and -6*4/n*-3.
33
Suppose -1 = 5*p - 6. Let v be (p - 7)/(15/(-10)). Find the common denominator of 11/7 and v/(-7)*(-2 + -4).
7
Let y = -169 + 1142. Suppose 2*x - r = -2*x + 11, -x + r + 2 = 0. Find the common denominator of (x - 0) + y/(-84) and 23/4.
12
Let z = 28 + -124/3. Calculate the common denominator of z and -39/11.
33
Let f = -10/213 + -12973/426. Calculate the common denominator of 3/7 and f.
14
Let p = -7 - -9. Suppose p*y - 3*y + 17 = -x, 0 = y + 3*x - 29. Suppose 34 = 2*m - 2. What is the smallest common multiple of y and m?
180
What is the least common multiple of 6 and (-14)/((-4)/(-8) - 1)?
84
Suppose 4*i - 51 = 3*g, 0 = i + g - 0*g - 11. Suppose -5*p + 2*p = -i. Calculate the lowest common multiple of p and 6.
12
What is the common denominator of (-39)/(-6)*24/44 and 145/6?
66
Let x = 37 + -15. What is the smallest common multiple of -7*3*(-8)/28 and x?
66
Calculate the common denominator of -21/8 and (-1 - 46/(-50))/((-40)/1950).
40
Let q(w) = -w**3 + 8*w**2 - 13*w + 12. Calculate the lowest common multiple of q(6) and 2.
6
Let z = 8101/342 - 506/19. What is the common denominator of z and -45/98?
882
Let l(a) = -a**3 + 3*a**2 + 2*a - 3. Suppose 3*k = k + 4. Let p(z) = -z + 10. What is the least common multiple of l(k) and p(0)?
10
Let h(x) = 9*x. Suppose -6*m + 5*m = -8. Calculate the least common multiple of h(2) and m.
72
Let k = 3/88 - 1103/88. Calculate the common denominator of 17/11 and k.
22
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