- 28. Calculate the remainder when (12/(-18))/(g/402) is divided by 35.
32
Suppose 5*o = -2*q + 311, -3*q - 216*o = -208*o - 469. Let a(l) = -l**2 + l + 50. Calculate the remainder when q is divided by a(0).
43
Let a = 529 + -527. Suppose -a*i + 5*h = -300, -h + 6 = 2. What is the remainder when i is divided by 23?
22
What is the remainder when 957 is divided by (8 + (-312)/36)*-87?
29
Let f be 9024/(-64)*1*(-1)/3. Let j = 305 - f. Calculate the remainder when j is divided by 69.
51
Suppose 16*b - 10095 = 11*b - 4*x, 0 = -4*b + 5*x + 8035. Calculate the remainder when b is divided by 12.
11
Let i(u) = 3*u + 43. Let h be i(-13). Suppose 0 = -2*q - 5*v + 16, 2*v - h = 3*v. What is the remainder when 52 is divided by q?
16
Let r(v) = -v**3 - 14*v**2 + 9*v + 27. Let g be r(-7). Let x = g - -427. What is the remainder when 154 is divided by x?
10
Suppose 2*j - 2 = 2*g, -6*j + 8*j = -3*g + 22. Suppose w + 2 = 3. What is the remainder when 1 + 20 + (3 - w) is divided by j?
3
Let i(n) = 19*n - 277. Let g be i(14). Let l = 42 + g. Calculate the remainder when l is divided by 11.
9
Suppose -452 = -t + 4*x + 919, -6834 = -5*t - x. What is the remainder when t is divided by 454?
5
Suppose 15*x + 8*x - 115 = 0. Suppose 2*u + m + 633 = x*u, 0 = 3*u - 4*m - 624. Calculate the remainder when u is divided by 54.
50
Calculate the remainder when 980/(-50)*(-405)/18 is divided by 25.
16
Calculate the remainder when (2 - -18)*33147/116 is divided by 19.
15
Suppose 0 = 5*a + 2 + 123. Let k = a - -41. Let p = 38 - k. Calculate the remainder when 86 is divided by p.
20
Let l(i) = -i**3 + i**2 + 2*i + 3088. Calculate the remainder when l(0) is divided by 10.
8
Let o(j) = j**3 - 13*j**2 + 25*j - 14. Let q be o(11). Let h be -6*(20/12 + -2). Let d = q - h. What is the remainder when 98 is divided by d?
13
Suppose 166*t - 151362 = -389*t + 72303. Calculate the remainder when t is divided by 208.
195
Let l be ((-5)/(-2))/(3/6). Suppose -l*x - 3*a = -0*x - 308, 62 = x + a. Let q = x - 26. Calculate the remainder when 67 is divided by q.
32
Suppose 3*q - 1976 = c, 5*c = 4*q + 3*c - 2632. Suppose -2*m = 4*n - q, -2*n + 354 = -18*m + 13*m. Calculate the remainder when n is divided by 8.
7
Let x(f) = 12*f**2 - 4*f - 36. Suppose 0 = 6*r + 15 + 9. Calculate the remainder when x(r) is divided by 35.
32
Suppose 3*j - 46417 = -2*m, -11349 = 2*j - 5*m - 42338. What is the remainder when j is divided by 10?
7
Let l be -8 - (-40)/5 - 268. Let d = l - -336. What is the remainder when d is divided by 25?
18
What is the remainder when 219 is divided by 14 + 7 + (4 - 14)?
10
Suppose -158*o + 22550 = 117*o. Calculate the remainder when 2942 is divided by o.
72
Suppose -562 = -4*k + 2*s, s - 43 = -38. Calculate the remainder when k is divided by 0*(-1)/(-3) + 16.
15
Calculate the remainder when 149 is divided by ((-3)/(6/(-20)))/(1708/4270).
24
Let l = 21478 - 21443. Calculate the remainder when 4943 is divided by l.
8
Let i = -21400 - -21434. Calculate the remainder when 559 is divided by i.
15
Let n(q) = -q**2 - 39*q + 307. Calculate the remainder when 330 is divided by n(-45).
34
What is the remainder when 1339 is divided by 37*17*14/119?
7
Let f be 3/1 - 0*10/(-80). Suppose -84 = -10*k + f*k. Calculate the remainder when 67 is divided by k.
7
Let h = -718 + 1892. What is the remainder when h is divided by 107?
104
Suppose 3*v = 551 - 338. Let u = v + -18. What is the remainder when u is divided by 29?
24
Let w = -145 - -67. Let q(y) = 6*y**2 - 1. Calculate the remainder when q(1) is divided by ((-10)/4)/(w/(-12) - 7).
0
Let x be (-21)/(-35) - (-11)/(275/10). Suppose -406 = -9*i - x. Let k = 6 + 0. Calculate the remainder when i is divided by k.
3
Let u(r) be the first derivative of 2*r**3/3 + 7*r**2 + 5*r - 1. Let x = 10081 + -10089. What is the remainder when u(x) is divided by 11?
10
Let z = -3315 + 3346. Let a(g) = g**3 - 2*g**2 - 2*g. Let w be a(3). Suppose -282 = -w*t + 78. What is the remainder when t is divided by z?
27
Let y be 1*-1 + (0 - 3). Let p be (y + 4)/1 + 0. Let s = p - -10. What is the remainder when 33 is divided by s?
3
Let o be (3 + (1 - 22))*2/(-6). Suppose 328 = o*t - 308. Let m = -288 - -297. Calculate the remainder when t is divided by m.
7
Let k(q) = 55*q - 1184. What is the remainder when 457 is divided by k(23)?
52
What is the remainder when 477 is divided by 280/(-20) - 1674/(-9)?
133
Let x be (-42)/231 + 4402/11. Suppose -6*j + x - 118 = 0. What is the remainder when 130 is divided by j?
36
Let b = -460 + 459. Suppose -1 = -2*o + 3. Calculate the remainder when 41 is divided by (o/b - 3) + 12.
6
Let s(j) = j**3 - 44*j**2 - 83*j + 120. Calculate the remainder when s(48) is divided by 5.
2
Suppose j = 3*j - 18. Let x(t) = -36*t + 114. Let y be (-5 - -3)*((-33)/2)/11. What is the remainder when j is divided by x(y)?
3
Suppose -23*g + 2385 + 950 = 0. What is the remainder when 287 is divided by g?
142
Suppose 19*h - 255 = 277. Suppose v - 84 = h. Calculate the remainder when v is divided by 30.
22
Let n(f) = 3*f**2 + 9*f + 8. Let b = 10 + -16. Calculate the remainder when n(b) is divided by (20/(-4))/(1026/96 + -2 + -9).
14
Let p = 4321 + -4008. What is the remainder when p is divided by 158?
155
Suppose 117 = 3*l - 3*i, l + 2*i - 33 = i. What is the remainder when 59 is divided by l?
23
Let h = -91 + 102. Suppose -3*w + 70 = -o - 36, -3*o + 6 = 0. What is the remainder when w is divided by h?
3
Suppose -s + 74 = 39. Suppose -7 + s = 4*v. What is the remainder when 33 is divided by 4 + (4 - v) - -17?
15
Suppose 32*n - 13*n - 551 = 0. Let z = 14 + -14. Let p(s) = s**3 - s + 10. Calculate the remainder when n is divided by p(z).
9
Suppose 82 + 58 = 2*j. Let q = -554 + 564. Calculate the remainder when j is divided by q + 552/(-54) - 74/(-9).
6
Suppose 4*x - 3*u - 91 = -x, -2*x + 34 = -2*u. Let c be (1 + x/(-8))*6/3. Calculate the remainder when c - (0 - 3) - -61 is divided by 16.
13
Let n = -1732 + 1834. What is the remainder when n is divided by 27?
21
Let r(a) = a + 20. Let h(m) = m + 11. Let k(n) = -5*h(n) + 3*r(n). Let s = -3 - 3. What is the remainder when 45 is divided by k(s)?
11
Let y(d) = -3*d**2 + 147*d - 321. Let a = 61 - 13. What is the remainder when y(46) is divided by a?
45
Suppose -237 = 33*r - 1458. Suppose r*x = 31*x + 600. What is the remainder when x is divided by 52?
48
Suppose -n + 3*n = 22. Let y(h) = -h**3 - 55*h**2 + 804*h + 36. Calculate the remainder when y(12) is divided by n.
3
Suppose -k = k + 5*r - 38, 4*r = k + 7. Let q = -4750 - -4799. What is the remainder when q is divided by k?
4
Let f = 879 + -588. Suppose -150 = -3*o - a, -5*o - 2*a = 42 - f. Let r = -33 - -59. Calculate the remainder when o is divided by r.
25
Suppose -p - 238 = -3*f + 192, -4*p = -2*f + 290. What is the remainder when f is divided by 6?
5
Let l(a) = 16*a**2 + 1. Let r(c) = -c**3 + 2*c**2 - 2*c + 3. Let g be r(0). Suppose -111 = -19*b + g. Calculate the remainder when l(1) is divided by b.
5
Suppose -3*n - 108 = 15. Let k = n + 69. Suppose -m + k = 12. What is the remainder when m is divided by 6?
4
Let w(y) = 17*y + 48. Let i be w(-2). What is the remainder when 254 is divided by (-86)/(1/((-7)/i))?
39
Let n(p) = -7*p - 25. Suppose 9*i = 7*i + 150. Calculate the remainder when i is divided by n(-9).
37
Calculate the remainder when 558 is divided by 14 + 1376/((-64)/(-8)).
0
Let m(k) = -k**3 - 10*k**2 + 5*k + 43. Let i be m(-10). Let z(o) = -o**2 - 10*o + 14. What is the remainder when 102 is divided by z(i)?
32
Calculate the remainder when 1025 is divided by ((-3)/(-9))/(12 - (-4203)/(-351)).
11
Let d = -171 + 290. Let y(v) = -251*v - 240. Calculate the remainder when d is divided by y(-1).
9
Let r(w) = 2*w**2 - 135*w + 837. Calculate the remainder when r(66) is divided by 138.
87
Suppose -683*x + 676*x + 420 = 0. Calculate the remainder when 111 is divided by x.
51
Suppose -3*b + 11 + 40 = 0. Let v(s) be the third derivative of s**5/60 + s**4/3 - 17*s**3/6 + 9*s**2 + 2. What is the remainder when v(6) is divided by b?
16
Let p = 100 + -60. Let r = -183 - -195. Suppose 138 = 2*a - 4*x, -13*a + r*a + x + 73 = 0. Calculate the remainder when a is divided by p.
37
Suppose 193 = -10*x + 11*x. Suppose -m + d = -74, 2*d + x = 4*m - 93. What is the remainder


 is the u'th term of -246, -248, -250, -252?
-2*u - 244
What is the p'th term of -2, 44, 90?
46*p - 48
What is the k'th term of 7, 26, 55, 94?
5*k**2 + 4*k - 2
What is the a'th term of -206, -829, -1866, -3317, -5182?
-207*a**2 - 2*a + 3
What is the y'th term of 88, 333, 740, 1309, 2040, 2933, 3988?
81*y**2 + 2*y + 5
What is the h'th term of -253, -500, -759, -1036, -1337, -1668, -2035?
-h**3 - 240*h - 12
What is the d'th term of 226, 236, 244, 250?
-d**2 + 13*d + 214
What is the v'th term of -18, -43, -70, -99?
-v**2 - 22*v + 5
What is the n'th term of -148, -188, -254, -346, -464, -608, -778?
-13*n**2 - n - 134
What is the o'th term of 24, 42, 74, 126, 204?
o**3 + o**2 + 8*o + 14
What is the b'th term of 688, 689, 690, 691, 692?
b + 687
What is the j'th term of -2738, -2737, -2736, -2735?
j - 2739
What is the g'th term of 19, 1, -21, -47?
-2*g**2 - 12*g + 33
What is the x'th term of -32, -93, -192, -335, -528?
-x**3 - 13*x**2 - 15*x - 3
What is the z'th term of -47, -82, -131, -200, -295?
-z**3 - z**2 - 25*z - 20
What is the i'th term of 13, 14, 15?
i + 12
What is the m'th term of 1075, 1064, 1049, 1030?
-2*m**2 - 5*m + 1082
What is the z'th term of 278, 279, 282, 287?
z**2 - 2*z + 279
What is the i'th term of 74, 76, 76, 74?
-i**2 + 5*i + 70
What is the k'th term of -37, -364, -1255, -2992, -5857, -10132, -16099?
-47*k**3 + 2*k + 8
What is the a'th term of 5, 7, 9, 11, 13, 15?
2*a + 3
What is the x'th term of 18, 65, 194, 447, 866, 1493, 2370, 3539?
7*x**3 - x**2 + x + 11
What is the u'th term of -3737, -7475, -11211, -14945?
u**2 - 3741*u + 3
What is the d'th term of 958, 951, 930, 889, 822, 723?
-d**3 - d**2 + 3*d + 957
What is the b'th term of 267, 272, 289, 324, 383, 472, 597?
b**3 - 2*b + 268
What is the n'th term of 32, 146, 352, 662, 1088, 1642?
2*n**3 + 34*n**2 - 2*n - 2
What is the c'th term of -163, -172, -181, -190?
-9*c - 154
What is the v'th term of -53, -57, -61, -65, -69, -73?
-4*v - 49
What is the o'th term of 75, 60, 35, 0?
-5*o**2 + 80
What is the s'th term of 16, 39, 88, 169, 288, 451?
s**3 + 7*s**2 - 5*s + 13
What is the q'th term of -21, -20, -11, 12, 55?
q**3 - 2*q**2 - 20
What is the k'th term of 43, 92, 141, 190?
49*k - 6
What is the d'th term of 196, 372, 548, 724?
176*d + 20
What is the q'th term of -125, -142, -159, -176, -193?
-17*q - 108
What is the f'th term of -68, -138, -222, -326, -456, -618, -818, -1062?
-f**3 - f**2 - 60*f - 6
What is the f'th term of -835, -839, -845, -853, -863, -875, -889?
-f**2 - f - 833
What is the y'th term of -38, -56, -110, -218, -398, -668, -1046, -1550?
-3*y**3 + 3*y - 38
What is the y'th term of 2835, 2834, 2833?
-y + 2836
What is the q'th term of -4, -9, -14, -19, -24?
-5*q + 1
What is the c'th term of -11, -9, 9, 49, 117, 219, 361?
c**3 + 2*c**2 - 11*c - 3
What is the s'th term of 62, 73, 98, 143, 214, 317, 458, 643?
s**3 + s**2 + s + 59
What is the w'th term of -33, -375, -1299, -3093, -6045, -10443, -16575, -24729?
-48*w**3 - 3*w**2 + 3*w + 15
What is the b'th term of -1244, -1242, -1240, -1238, -1236?
2*b - 1246
What is the f'th term of 6, 52, 182, 438, 862?
7*f**3 - 3*f + 2
What is the v'th term of 13, 16, 17, 16, 13, 8, 1?
-v**2 + 6*v + 8
What is the h'th term of 195, 310, 425, 540?
115*h + 80
What is the h'th term of 3, 12, 23, 36?
h**2 + 6*h - 4
What is the a'th term of 128, 120, 98, 56, -12, -112, -250, -432?
-a**3 - a**2 + 2*a + 128
What is the p'th term of 926, 1856, 2786, 3716, 4646?
930*p - 4
What is the o'th term of 70, 139, 208?
69*o + 1
What is the n'th term of -108, -115, -122, -129, -136?
-7*n - 101
What is the f'th term of -4, -3, 10, 41, 96, 181, 302, 465?
f**3 - 6*f + 1
What is the m'th term of -1266, -2529, -3794, -5061, -6330?
-m**2 - 1260*m - 5
What is the o'th term of -261, -525, -789?
-264*o + 3
What is the i'th term of 262, 270, 282, 298, 318, 342, 370?
2*i**2 + 2*i + 258
What is the k'th term of 24, 38, 52, 66, 80, 94?
14*k + 10
What is the k'th term of -4, -2, 8, 32, 76, 146, 248, 388?
k**3 - 2*k**2 + k - 4
What is the z'th term of -537, -2159, -4863, -8649?
-541*z**2 + z + 3
What is the f'th term of 81, 165, 249, 333?
84*f - 3
What is the x'th term of -12, -18, -26, -36, -48, -62, -78?
-x**2 - 3*x - 8
What is the i'th term of 108, 909, 3088, 7335, 14340, 24793?
115*i**3 - i**2 - i - 5
What is the b'th term of 23, 39, 55, 71, 87?
16*b + 7
What is the i'th term of 26, 89, 192, 335?
20*i**2 + 3*i + 3
What is the x'th term of 43546, 87095, 130646, 174199, 217754?
x**2 + 43546*x - 1
What is the c'th term of -62, -79, -96?
-17*c - 45
What is the v'th term of -18, -117, -280, -507, -798, -1153?
-32*v**2 - 3*v + 17
What is the s'th term of 3, -1, -7, -15, -25?
-s**2 - s + 5
What is the d'th term of 111, 171, 231, 291, 351?
60*d + 51
What is the g'th term of 198, 195, 180, 147, 90, 3?
-g**3 + 4*g + 195
What is the w'th term of 22, 50, 82, 118, 158, 202, 250?
2*w**2 + 22*w - 2
What is the i'th term of -11, -38, -99, -206, -371?
-2*i**3 - 5*i**2 + 2*i - 6
What is the x'th term of -349, -1384, -3109, -5524, -8629?
-345*x**2 - 4
What is the h'th term of 62, 121, 180, 239, 298?
59*h + 3
What is the c'th term of -376, -383, -388, -391, -392, -391, -388?
c**2 - 10*c - 367
What is the o'th term of 16, 32, 106, 268, 548, 976, 1582?
5*o**3 - o**2 - 16*o + 28
What is the w'th term of 841, 1697, 2565, 3451, 4361, 5301?
w**3 + 849*w - 9
What is the p'th term of 8872, 8866, 8848, 8812, 8752, 8662?
-p**3 + p + 8872
What is the c'th term of 17, 14, 3, -22, -67, -138, -241, -382?
-c**3 + 2*c**2 - 2*c + 18
What is the c'th term of 704, 706, 708, 710, 712, 714?
2*c + 702
What is the x'th term of -409, -408, -407, -406, -405?
x - 410
What is the v'th term of -57, -63, -71, -81, -93?
-v**2 - 3*v - 53
What is the k'th term of -61, -132, -203, -274, -345?
-71*k + 10
What is the h'th term of 412, 827, 1240, 1651?
-h**2 + 418*h - 5
What is the p'th term of 16, 46, 76, 106, 136, 166?
30*p - 14
What is the i'th term of 706, 714, 726, 742?
2*i**2 + 2*i + 702
What is the j'th term of 329, 659, 987, 1313, 1637?
-j**2 + 333*j - 3
What is the i'th term of -1440, -1438, -1436, -1434, -1432, -1430?
2*i - 1442
What is the g'th term of 37, 47, 71, 115, 185, 287, 427?
g**3 + g**2 + 35
What is the z'th term of -360, -356, -350, -342?
z**2 + z - 362
What is the c'th term of -11, -64, -161, -308, -511, -776?
-c**3 - 16*c**2 + 2*c + 4
What is the o'th term of 725, 743, 775, 827, 905, 1015, 1163?
o**3 + o**2 + 8*o + 715
What is the x'th term of -140, -284, -422, -548, -656, -740, -794?
x**3 - 3*x**2 - 142*x + 4
What is the b'th term of 18, 96, 320, 768, 1518, 2648?
13*b**3 - 5*b**2 + 2*b + 8
What is the o'th term of 980, 1962, 2950, 3944?
3*o**2 + 973*o + 4
What is the t'th term of -14, -32, -64, -116, -194, -304, -452?
-t**3 - t**2 - 8*t - 4
What is the w'th term of -382, -372, -362, -352, -342?
10*w - 392
What is the g'th term of -7, -44, -133, -298, -563?
-4*g**3 - 2*g**2 - 3*g + 2
What is the k'th term of -36, -34, -32?
2*k - 38
What is the c'th term of 51, 108, 151, 174, 171, 136?
-c**3 - c**2 + 67*c - 14
What is the h'th term of -51, -145, -309, -549, -871, -1281, -1785?
-h**3 - 29*h**2 - 21
What is the a'th term of 9, 20, 33, 48, 65, 84, 105?
a**2 + 8*a
What is the t'th term of -498, -995, -1492, -1989, -2486?
-497*t - 1
What is the m'th term of 38, 34, 28, 20, 10, -2?
-m**2 - m + 40
What is the t'th term of -430, -431, -432, -433, -434?
-t - 429
What is the n'th term of -18, -4, 8, 18, 26, 32, 36?
-n**2 + 17*n - 34
What is the x'th term of 27, 23, 7, -27, -85?
-x**3 + 3*x + 25
What is the w'th term of -47, -46, -45, -44, -43?
w - 48
What is the n'th term of -12000, -12002, -12006, -12012, -12020, -12030, -12042?
-n**2 + n - 12000
What is the c'th term of 1, 16, 41, 76?
5*c**2 - 4
What is the a'th term of 150, 305, 448, 573, 674, 745, 780?
-a**3 + 162*a - 11
What is the b'th term of -561, -1123, -1699, -2295, -2917, -3571, -4263, -4999?
-b**3 - b**2 - 552*b - 7
What is the h'th term of -113, -230, -347, -464?
-117*h + 4
What is the a'th term of 1244, 1237, 1226, 1211, 1192, 1169, 1142?
-2*a**2 - a + 1247
What is the c'th term of -6, 22, 78, 162, 274, 414, 582?
14*c**2 - 14*c - 6
What is the z'th term of -110, -216, -320, -422, -522, -620?
z**2 - 109*z - 2
What is the z'th term of 114, 2


-3/2446. What is the common denominator of h and u?
576
Find the common denominator of -73/42 and (72/14)/(42/9).
294
Find the common denominator of 8372/312 + -2 + 0 + -1 and 63/562.
1686
Let t = 1/56700 - -5099/226800. What is the common denominator of -187/450 and t?
3600
What is the common denominator of (-2)/6 + (-1729)/(-84) and -19/18?
36
Let h = 2 + -6. Find the common denominator of (-139)/h - 3/12 and 16/5.
10
Let m = 28 - 31. Let u(r) = -r - 7. Let o be u(m). Let p = o + 14. What is the smallest common multiple of 7 and p?
70
Let d be (-3)/9 + (-4)/(36/(-21)). Suppose 0 = -d*z + 6. Calculate the lowest common multiple of z and 6.
6
Calculate the common denominator of (-1 - 16/(-14))*264/1914 and -10/261.
1827
Let a(l) = -l**2 - 46*l - 82. Calculate the lowest common multiple of a(-44) and 24.
24
Let t be ((-15)/(-6))/(1/1498). Let g = t - 52477/14. Find the common denominator of g and (-7)/(56/(-39))*-4.
14
Let f be (-2)/(-8) - 220/(-64)*-227. Let x = 784 + f. What is the common denominator of 17/4 and x?
16
Suppose -l + 83 = -3*x, 4*x = -11*l + 6*l + 396. Calculate the least common multiple of 16 and l.
80
Suppose 0 = 3*y - 144 + 63. What is the least common multiple of 108 and y?
108
Let q(y) = -y**2 + 5*y - 2. Let a(c) = c**3 + 11*c**2 - 2. Let w be a(-11). What is the smallest common multiple of 16 + w + 4*1 and q(3)?
36
What is the smallest common multiple of 70 and (94 - 115)*(-3 + (1 - 1))?
630
What is the smallest common multiple of (-4)/50 + 1004/50 + -5 and 48?
240
Let b(w) = 2*w**2 + 16*w - 25. Let q be b(-13). Let n = -93 + q. What is the least common multiple of 33 and n?
132
Let u = 245 + -235. What is the lowest common multiple of u and 22?
110
Let h be 3 + -2 - (-1 + 0). Suppose 5*s + 3 = h*s. Let k(p) = -9*p**3 + 2*p**2 + p. What is the lowest common multiple of 2 and k(s)?
10
Let w be (-4)/10 + 784626/390. Let x = w + -2009. What is the common denominator of -17/4 and x?
52
Let f(i) = i**2 - 3*i**3 - 334 + 334 - i. What is the smallest common multiple of 6 and f(-2)?
30
Let o = -8 + 10. Suppose 3 = f + o*v, -19 = f - 5*v - 50. Suppose 0 = 5*a + 5*t, -2*a + 4 = -t - t. What is the lowest common multiple of f and a?
11
Suppose -30*l + 6 = -28*l. What is the least common multiple of l*4/(-6) - (1 - 9) and 24?
24
Let h = 19 - 11. Let s = -43 - -38. Calculate the lowest common multiple of -5*(-10 - -4 - s) and h.
40
Let x = -1213581 + 88692. Let h = -449957079/400 - x. Let r = h + -6/25. Calculate the common denominator of r and 133/6.
48
Suppose 12 = -2*h - 0*h. Calculate the smallest common multiple of 4/h - (-76)/6 and -22*(-9 + (-56)/(-7)).
132
Let t = 75 - 27. Suppose 6*b - t = 2*b. Calculate the least common multiple of 4 and b.
12
Let x be 3*3/(-9) - -3. What is the common denominator of 101/50 and (x - (-44)/(-25))/(18/60)?
50
Let a = -445 + 454. Calculate the least common multiple of 282 and a.
846
Suppose 0 = -3*p - 0*p + 48. Suppose 9 = 4*t - 31. Calculate the least common multiple of t and p.
80
Let v = 4/127 + -9029/381. Let c = 1/387072 - 38449193/15869952. Let p = -10/41 + c. Calculate the common denominator of v and p.
3
Suppose 0*d = -3*d - 3, 5*l - 5*d = 30. Suppose l*i = 73 + 67. Calculate the lowest common multiple of i and 16.
112
Find the common denominator of ((-767)/65)/(1/(-1)) and 47/10.
10
Suppose -19*a + 225 = -4*a. Calculate the lowest common multiple of 5 and a.
15
Suppose v - 6 = o, 4*v - 20 = 2*v + 4*o. Suppose 0 = v*w + w - 48. Let a = 52 - 40. What is the smallest common multiple of w and a?
48
Let s = -12 + 18. Suppose s*o - 4*o + 18 = 0. Let b(x) = -x**2 - 10*x - 3. What is the lowest common multiple of 5 and b(o)?
30
Let a(b) = -b**3 + 5*b**2 - 5*b + 2. Let s = 4 + 0. Let o be a(s). What is the least common multiple of 10 and 2 + 1 + (o - -3)?
20
Let h(a) = -34*a + 39. Let c be h(-9). Calculate the common denominator of 1/3*c/50 and -71/16.
80
Let f(x) = -2*x. Let g = -737 - -738. Calculate the smallest common multiple of g and f(-4).
8
Let x be -1*15/(-3)*1. Suppose 5*l + 7 = 4*l - x*u, 5*u = -2*l - 4. Suppose -2*b = 2*d - b - 4, l*d = -3*b + 9. What is the smallest common multiple of d and 6?
6
Suppose -409 = -39*n - 136. What is the smallest common multiple of n and 108?
756
Suppose 0 = -8*k + 7*k + r + 10, 3*r + 15 = 0. Calculate the least common multiple of k and 50.
50
Let z(s) = -3 - 3 + 2*s + 3*s**2 - 2*s**2 + 2. Suppose -21*l + 26*l - 15 = 0. What is the least common multiple of z(3) and l?
33
Suppose -48 + 16 = -8*v. What is the least common multiple of v and 396?
396
What is the common denominator of 73/4130 and 105/(-55) - (-6)/12?
45430
Let d(p) = 4 - 825*p**2 + 826*p**2 + 2 + 13*p. What is the lowest common multiple of 12 and d(-13)?
12
Suppose -4 = -2*h, 3*h = -5*t - h + 58. Let x be ((-912)/60)/((-2)/t). Calculate the lowest common multiple of 14 and x/10 - (-9)/(-15).
14
Suppose -2*q - 13629 = q. Let x = -18081/4 - q. Calculate the common denominator of (-6)/36 + (-64)/(-33) and x.
44
Suppose 32 = 10*u - 8. Calculate the least common multiple of 233 and u.
932
Find the common denominator of (115/(-455)*1)/1 and -59/130.
910
Find the common denominator of (-1)/(-3)*21/(-27) and (136/340*(-10)/(-6))/((-6)/46).
27
Let t be 2/4 - (-96)/(-42). Let x = -940 + 13147/14. Let u = t + x. What is the common denominator of 149/6 and u?
42
Suppose y - 1 = 25. Let c = 21 - 20. Calculate the smallest common multiple of (0 + -1)*c - -19 and y.
234
Suppose 2*t - 5*t - 2317 = -c, 0 = 2*c - 2. Let q = t - -1461/2. Calculate the common denominator of q and (2/(-20))/((-2)/(-68)).
10
Calculate the common denominator of 46/(-14)*(-46)/(-92) and -57/74.
518
Suppose 60 = -n - 3*n. Suppose -124 = 5*f - 3*y, -2*y = 4*f - 5*y + 101. Let j = n - f. Calculate the least common multiple of 6 and j.
24
Suppose 3*p = 90 + 27. Let t = p - 17. Suppose 0 = g - 0*g - 16. What is the smallest common multiple of g and t?
176
Calculate the common denominator of -13/120 and 526/(-540) + (-40)/(-30).
1080
Let l = 13 + -1. What is the least common multiple of 5*72/45 - 2 and l?
12
What is the common denominator of -67/4 and 54/36 - (-1)/2 - -43?
4
Calculate the common denominator of (-101)/(-96) - ((-8)/(-6))/4 and 530/120 - (3 - 1).
96
Let l = 481 - 1439/3. What is the common denominator of l and 73/378?
378
Let q be (-10)/35 - -3*(-226)/(-21). Let z = -28 + q. Let b(n) = -n**3 + 6*n**2 - 5*n + 4. Calculate the smallest common multiple of b(4) and z.
16
Let j(y) = y**2 - y - 6. Let u be j(2). Let t(g) = -g**2 - 3*g + 5. What is the smallest common multiple of t(u) and 3?
3
Let s = 90 - 49. Suppose -3*f + 113 - s = 0. What is the smallest common multiple of 6 and f?
24
Let j be (-51)/108 - 4/18. Let r = j + 1787/396. Calculate the common denominator of r and ((-1)/5)/(2/275).
22
Suppose o + 45 = 6*o. Suppose 0 = 5*g - o*g + 8. What is the common denominator of (174/(-22))/(-3) - g and 25/8?
88
Suppose 6*x - 8*x - 152 = 0. Let k = -44 - x. Suppose 5*i = 3*m - 0*m - k, -3*i = 5*m - 42. What is the least common multiple of 1 and m?
9
Calculate the common denominator of 17/2 and (118/218)/(-8 - (-1 + -5)).
218
Let o = -11503 + 207181/18. Calculate the common denominator of 109/6 and o.
18
Suppose 0 = 5*j - 4*f - 2127 - 2383, -j = -3*f - 913. Calculate the smallest common multiple of 18 and j.
8082
Suppose -203 + 217 = 2*v. Let q = 11 + -1. What is the smallest common multiple of v and q?
70
Suppose 487 - 619 = -4*s. Calculate the lowest common multiple of 360 and s.
3960
Let z be 195/9 + 3/((-18)/4). Suppose 5*b - 64 = z. Calculate the lowest common multiple of b and 4.
68
Suppose 10*b = 41*b - 1674. Calculate the least common multiple of b and 24.
216
Suppose 340*n = 337*n + 174. What is the smallest common multiple of n and 12?
348
Let t(h) = -2*h - 10. Let l be t(-6). Suppose 5*w - 6 - 24 = -l*s, 5*s - 2*w = 17. What is the lowest common multiple of s and 9?
45
Let u(o) = 10*o - 40. Calculate the smallest common multiple of 10 and u(10).
60
Let x = 940002473/24 - 39181123. Let f(y) = -42*y**3 + 7*y - 6. Let t be f(-7). Let l = x + t. What is the common denominator of l and 43/6?
24
Suppose 115 = -7*h - 235. Let a = 80 + h. Calculate the least common multiple of a and 22.
330
Let r = -1227851/549 + 1151179


 + r. Does 15 divide v?
True
Suppose -3*q - 5*b = -58 + 9, -q - 7 = -3*b. Let w be (-4 - (-3 - -2)) + 1 + 9. Is 3 a factor of 4/(q/w)*2?
False
Let b = -7 - -10. Suppose -5*i + 4*c - 5 = 0, -4*c = -0*i + 4*i - 32. Suppose u = b + i. Does 6 divide u?
True
Is 16 a factor of (-228)/(-15) + 4/5?
True
Let v be ((-336)/(-9))/((-6)/18). Let j = v - -175. Does 21 divide j?
True
Let j(h) = -4*h + 6. Is 11 a factor of j(-4)?
True
Suppose -4*f + 20 = 0, 5*r + 2*f + f = 60. Let z = 24 - r. Is z a multiple of 5?
True
Let l(c) = -2*c + 2 + 8*c**2 - 4 + 3 - 2. Suppose 2*t - 2 = t. Does 13 divide l(t)?
False
Is 4 a factor of (24/16)/(1/6)?
False
Suppose n + n = 46. Is 12 a factor of n?
False
Suppose -3*v - 3*p + 93 = 0, -4*p = v - 45 + 8. Does 4 divide v?
False
Let k = 6 + -4. Suppose -k*j + 240 = 2*j. Is 18 a factor of j?
False
Let b(v) = v**3 - 2*v**2 + 2*v + 1. Let p be b(2). Suppose -2*x + 6 + 2 = 3*y, 3*x = p*y - 7. Suppose y*n = 126 - 40. Does 16 divide n?
False
Let q(l) = 4*l + 6. Let x be (-2)/(-11) - (-97)/11. Does 13 divide q(x)?
False
Let y(k) = 3*k**3 + 3*k**2 - 3*k + 3. Suppose 17 = -5*g - 3*n, 0 = -3*g - 9*n + 4*n - 23. Let v be (g + 0)*(-10)/5. Is y(v) a multiple of 16?
False
Suppose -3*q - 1 = -c - 2*q, 4*q + 4 = -5*c. Suppose -3*i + 49 = 3*m + i, 2*m - 5*i - 48 = c. Is m a multiple of 6?
False
Let j(i) = i + 1. Let s(y) = 4*y + 3. Let a(q) = j(q) - s(q). Let v be a(6). Does 13 divide ((-8)/v)/((-1)/(-70))?
False
Let g(a) = -2*a**2 + 34*a - 12. Does 22 divide g(8)?
True
Let s be 2*((-5)/(-2) - 1). Suppose -3*x = -4*v - 0*v + 21, 2*x = v - 4. Suppose -s*y + v = -48. Is 9 a factor of y?
True
Let l = 17 - 14. Suppose 36 = 4*x - 4*p, x + l*x + 5*p = 27. Is x a multiple of 6?
False
Suppose -j + 4*z - 12 = -3*j, -6 = j - 4*z. Let k(c) = 9*c - c**j + 9 - 3 + 3. Is k(9) a multiple of 8?
False
Suppose h + h - 12 = 0. Is 6 a factor of h?
True
Let y = 3 + 9. Let l = -7 + y. Suppose 4*q = 5*g + 25, q + l*g = -4*q + 20. Is 2 a factor of q?
False
Suppose -13 = -z - b, -2*z - 5*b + 2*b + 21 = 0. Does 6 divide z?
True
Let z(y) be the third derivative of y**7/5040 + 7*y**6/360 + y**5/60 - 2*y**2. Let q(x) be the third derivative of z(x). Is 7 a factor of q(0)?
True
Let x(v) = v**3 + 2*v**2 - v - 3. Let g be 3 + -2 - (6 - 2). Let s = g - -6. Does 13 divide x(s)?
True
Suppose 2*u + 4 = 2, 607 = 4*p - 3*u. Is 22 a factor of p?
False
Let l(k) = k**3 + 22*k**2 + 18*k - 15. Is l(-21) a multiple of 12?
True
Suppose -3*s - 2*u = -170, -3*s = -0*s - u - 185. Let x = -35 + s. Does 5 divide x?
True
Let u = 8 - 5. Suppose 5*v - 222 = -3*s, -u*v + 2*v = -4*s - 26. Is v a multiple of 14?
True
Is (-1 + 9/3)/1 even?
True
Let a(g) be the first derivative of -2 - 1/3*g**3 + 4*g**2 + 7*g. Is a(8) a multiple of 7?
True
Let u be (-18)/(-15)*(-5 + 0). Let b = u - -5. Let o(p) = -12*p**3 + p. Does 7 divide o(b)?
False
Let p = -16 + 17. Let a be (-3)/(-2)*6/1. Is 6 a factor of 11*p + (12 - a)?
False
Let m be (-2)/9 - 16/9. Let x(r) = -3*r**3 - r**2 + 2. Is x(m) a multiple of 8?
False
Suppose -3*j + 373 = 76. Let l = j - 66. Does 18 divide l?
False
Let w = 12 - 8. Let f(y) = y - 17 + w*y + 5. Does 24 divide f(12)?
True
Suppose -l + 14 = 5*m, m - 5*l = -5 - 13. Suppose -285 = -5*b + 5*d, -3*b + m*d + 171 = -0*b. Suppose -4*f + b = -f. Is f a multiple of 19?
True
Let q = 0 + 1. Let c = -1 + q. Suppose c = -3*m - r + 4*r + 135, 3*m - 125 = -2*r. Does 16 divide m?
False
Let t = -4 - -11. Suppose t = s - 16. Does 11 divide s?
False
Suppose -d + 43 = 2*y + 3*y, -2*y + 10 = -2*d. Suppose -3*z = -y*z + 325. Suppose z = 2*s + 3*s. Is 12 a factor of s?
False
Suppose -744 = -5*t + 16. Is t a multiple of 18?
False
Let n(p) = p**2 - 4*p - 5. Let t be n(5). Suppose 3*a + 10 = -l, -2*a = 2*l - t*a + 4. Suppose q = -5*d + 36, l*d = 6*d - 2*q - 26. Does 7 divide d?
True
Suppose 4 = 2*g - 0. Suppose -4*b + g*b = -6. Suppose -b*p - p + 2*n + 38 = 0, 5*p - 20 = -3*n. Is 3 a factor of p?
False
Let j(s) = s**3 - 8*s**2 - 6*s + 7. Is j(10) a multiple of 23?
False
Let l(x) = -48*x**2 + 11*x - 29. Let j(s) = -16*s**2 + 4*s - 10. Let v(c) = 17*j(c) - 6*l(c). Is 16 a factor of v(-2)?
True
Let d(s) = s**3 + 5*s**2 + 2*s - 5. Let a be d(-4). Suppose n + 2 = a. Let r = n + 3. Is r even?
True
Is (-1 + 3 - 1) + (-1547)/(-13) a multiple of 20?
True
Let y(l) = -6 + 4 - 11*l - 5*l**2 + l**3 + 13*l - 1. Let w = 13 + -8. Does 2 divide y(w)?
False
Let s = -10 + 3. Let l(y) be the second derivative of -y**4/12 - 4*y**3/3 - 2*y**2 + 2*y. Is 3 a factor of l(s)?
True
Let u(y) = -y**2 - y + 6. Let v = -1 - -1. Is u(v) a multiple of 6?
True
Suppose -15*l = -11*l - 312. Does 39 divide l?
True
Let l(f) = -f**3 - 7*f**2 - 8*f - 8. Let g be l(-6). Let m = 0 + g. Suppose -p = m*i - 0*i - 75, 30 = i + 4*p. Is 7 a factor of i?
False
Let o(h) = h + 2. Let s(r) = r**2 + 4*r + 1. Let l be s(-5). Suppose -2*g + l*g = 32. Is 6 a factor of o(g)?
False
Let j = -10 + 19. Suppose -4*p + 57 = j. Is 7 a factor of p?
False
Let v = 4 + -2. Suppose -g - 2*g + 4 = v*s, 4*g + s - 7 = 0. Suppose -18 = -g*k - 0*k + d, 3*d + 30 = 3*k. Is k a multiple of 3?
False
Is 12/18 - 88/(-3) a multiple of 3?
True
Let w = 78 + -135. Does 7 divide ((-6)/9)/(2/w)?
False
Let h(u) = 4*u**2 + 5*u. Let j(k) = -k**2 + k - 1. Let w(s) = h(s) + 2*j(s). Let i = -3 + -2. Is 10 a factor of w(i)?
False
Let g = -16 + 24. Let x(l) = l**3 - 6*l**2 - 9*l + 1. Does 14 divide x(g)?
False
Suppose 0 = 3*p - 4*p. Does 9 divide 8 - (p - 1) - 0?
True
Suppose -391 = -5*c - 131. Does 9 divide c?
False
Suppose 4*k - 66 = 14. Let y = k - -20. Is 15 a factor of y?
False
Suppose 0 = 2*u + 9 + 1. Is 16 a factor of (u - (-3 - -2)) + 97?
False
Let x = 126 + -66. Is x a multiple of 5?
True
Let w(f) = 3*f - 4. Suppose 5*i + 7 - 47 = 0. Does 20 divide w(i)?
True
Let v(l) = -8*l + 5. Let h(y) = -9*y + 6. Let k(p) = -5*h(p) + 6*v(p). Let x be k(-1). Is 14 a factor of 1 + 16 + (-6)/x?
False
Let w = -12 + 28. Suppose -2*z - w = -5*q, -5*z - 7 = -q + 10. Suppose -q*f - 5*c + 7 = 0, 52 = 2*f - 3*c - c. Is f a multiple of 9?
False
Let q = 1 - 7. Does 16 divide (-6)/(q/(-2)) - -51?
False
Suppose 31 = 2*u - 5*w, 2*w + 17 = 3*u - 2. Suppose 5*m = -3*v + 25, -3*m = 2*v - 6*m - 42. Let k = v - u. Is 10 a factor of k?
False
Suppose -144 - 186 = -2*y. Is 33 a factor of y?
True
Let t(s) be the third derivative of s**6/120 - s**5/10 + s**4/24 + s**3/6 - 2*s**2. Let i be t(6). Let p = i + -5. Is 2 a factor of p?
True
Let b be (-6)/((-2)/(-2) + 0). Let n = 3 + b. Let j = 5 + n. Is j a multiple of 2?
True
Let k(p) = 13 - 2*p - p - p. Is k(-10) a multiple of 28?
False
Let r = -10 - -20. Let z be (0 + (2 - r))*-1. Let l = z - 4. Is 3 a factor of l?
False
Suppose 3*b = -0*b + 9. Suppose -4*q - 5 = b*l - 43, 3*l = -3*q + 36. Is 54/l + (-4)/10 a multiple of 3?
False
Let a(o) = 25*o - 4. Let m be a(6). Let i = 209 - m. Is i a multiple of 17?
False
Suppose 135 + 78 = 3*x. Is x a multiple of 11?
False
Suppose -3*n = 2*r - 604, -r + 5 = -0. Does 9 divide n?
True
Let v(q) be the second derivative of q**7/2520 + q**6/240 - q**5/30 - q**4/6 - q. Let g(u) be the third derivative of v(u). Does 11 divide g(4)?
False
Suppose -5*g = -0*g. Suppose -h - 4*h + 20 = g. Let o(a) = a**3 - 4*a**2 + 2*a + 1. Is o(h) a multiple of 6?
False
Let d(a) = -a**3 - 7*a**2 - 7*a - 9. Let z be d(-7). Suppose 9 = -p + z. Let x = p - -5. Is x a multiple of 12?
True
Let o(b) = b**2 + b + 1. Let t be o(-2). Suppose -v - 8 = t*v. Let w(u) = -2*u**3 + u**2 - 2. Does 18 divide w(v)?
True
Suppose -5*v + 51 = 2*a, -v = -4*a + 76 - 7. Suppose 0*i - a = -i. Is i a multiple of 5?
False
Suppose 0*d - 4*k + 40 = -5*d, 28 = -2*d + 4*k. Is (16*-5)/d + -3 a multiple of 8?
False
Suppose -s = -0*s - 5*p - 16, -77 = -2*s - 5*p. Is s a multiple of 31?
True
Let z(c) = 10*c**3 - 11*c**2 - 7*c. Let g(u) = 5*u**3 - 6*u**2 - 4*u. Let l(s) = 11*g(s) - 6*z(s). Is 22 a factor of l(-2)?
True
Let w = 65 + 58. Is w a multiple of 11?
False
Let t = 13 + -32. Let d(i) = i - 8. Let j be d(6). Is 7 a factor of t*j/4*2?
False
Suppose 0*r - 4*r + 1008 = 0. Is 42 a factor of r?
True
Suppose 2*f - 4 = -3*k, 2*k - 2*f = 3*f - 10. Suppose k*o = 2*o - 76. Is o a multiple of 13?
False
Suppose f - 78 = 22. Suppose b - 48 = -z, -2*z + b = 4*b - f. Let p = z - 19. Is p a multiple of 11?
False
Let


et t = -26 - z. Let u be a(t). Calculate r(u).
4
Let u(t) = 7*t**2 + 2. Suppose -4*q + 5*s - 29 = 0, 121*q - 18 = 124*q - 3*s. What is u(q)?
9
Let j(h) = -142*h - 313. Let i(t) = 708*t + 1578. Let o(z) = -2*i(z) - 11*j(z). Calculate o(-2).
-5
Let y(b) = b**2 + b. Let a = -148 - -154. Let t(z) = -2*z**2 - z. Let l(o) = a*t(o) + 13*y(o). What is l(-6)?
-6
Let i(a) be the first derivative of -a**3/3 + 8*a**2 - 33*a - 1197. Calculate i(14).
-5
Let m(q) = -q**2 + 7*q + 4*q + 2*q**2 - 7 - 5*q. Suppose -2*y + 0*o - 55 = -5*o, -5*y = -3*o + 128. Let x be (-1)/(3 + 70/y). Give m(x).
-12
Let r = 5218 - 5215. Let z(u) = -u + 6. Let h be z(3). Let m(w) = w + 3 - 3 - h. Determine m(r).
0
Suppose -3*k = -2*p + 9, -k + 6 - 9 = -p. Let n be 0 + p - 30/(-6). Let m(z) = -3*z + 2. Determine m(n).
-13
Let a = 3 + 1. Let g(r) = 1 - 2*r - 1026*r**3 + 5*r**2 + 0 + 510*r**3 + 515*r**3 - 3. Determine g(a).
6
Let h be ((-104)/16 + 6)/(2/4). Let u(b) be the first derivative of 0*b + 13/3*b**3 + 1/2*b**2 - 6. Give u(h).
12
Let i = 6 + -10. Let t(h) = 3*h - 66*h + 1 + 6*h**2 + h**3 + 65*h. Give t(i).
25
Let u(r) be the third derivative of r**4/4 + 4*r**3/3 - 2427*r**2. What is u(-5)?
-22
Let a(d) = 2 + 213*d - 1 - 4 - 212*d - 1. Let o be 36/15 + (-4)/10. Calculate a(o).
-2
Suppose 2*y - 2*j = 42, -4*y + 129 = 2*j + 3*j. Suppose q - 3*g = 6, 0 = -4*q + 5*g + y - 9. Let p(v) = v**3 - 2*v**2 - v + 4. Determine p(q).
10
Let b(l) be the second derivative of -l**3/6 + 33*l**2/2 + l - 959. Give b(32).
1
Let q(x) = x**3 - 5*x**2 - 6*x. Let k be (-9)/(-9) - 3*-1*55. Let l = k - 91. Let d = -69 + l. Give q(d).
0
Suppose 92*d = 515*d - 1269. Let c(k) = -7 - 2*k + 2*k + k. Calculate c(d).
-4
Let c = -18196 - -18201. Let h(l) = l**3 - 5*l**2 + 12*l - 49. Calculate h(c).
11
Let d be (12/5)/(430/(-75) + 6). Suppose d*r + 131 = 113. Let u(z) be the second derivative of z**4/4 + z**3/2 + 2*z. What is u(r)?
6
Let k = 6 + 1. Let t(b) = 4*b + 1. Let s(m) = -8*m - 41. Let z be s(-5). Let u(v) = 26*v - 4. Let o(a) = z*u(a) + 6*t(a). Determine o(k).
-4
Let v(k) = 24*k. Suppose -11*o = -18*o + 49. Suppose -o*l + 6*l - 1 = 0. Give v(l).
-24
Let r(v) = 3*v**2 + 28*v + 21. Let s = 51 - 53. Let i(k) = k**2 + 9*k + 6. Let c(z) = s*r(z) + 7*i(z). Suppose 16 = -4*u, 5*u - 4*u + 32 = -4*g. Determine c(g).
0
Let o(q) = -3*q**2 - 2*q - 1. Let a(l) = l**3 - 9*l**2 - 8*l + 14. Let v(x) = -a(x) + 3*o(x). What is v(0)?
-17
Suppose 4*r = -x + 31, -r - 63 + 58 = -4*x. Let n(s) = -6*s**2 + 40*s - 3. What is n(r)?
-17
Let v(b) be the third derivative of -b**6/120 + 13*b**5/60 - 25*b**4/24 + 16*b**3/3 - 2041*b**2. Give v(11).
-1
Let x(q) = -q - 6. Suppose -w - 7 = -27. Suppose -231*z + 227*z - w = 0. Determine x(z).
-1
Let d(k) = 36*k**2 + 4*k + 4. Let f be (3 - 1)/(-2)*(266 - 265). Calculate d(f).
36
Let d(w) = -8*w**2 - 2*w + 1. Let r(l) = 25*l**2 - 4*l - 16. Let c(u) = -3*d(u) - r(u). Calculate c(13).
-26
Let k(y) = 2*y - 3*y + 10 - 7 + 4 + 0. Give k(3).
4
Suppose 30 = 2*f - 4*l, 47*f - l = 42*f + 30. Suppose n = 8*b - 6*b - 14, -f*b - 30 = 4*n. Let k(x) = x**2 + 14*x. Give k(n).
-40
Let w = 269 - 263. Let p be w*4*4/(-32). Let k(x) = -x**2 + 4. Give k(p).
-5
Let u(o) be the second derivative of -15/2*o**2 - 16 + 2*o - 1/20*o**5 - 2/3*o**4 - 5/3*o**3. Calculate u(-7).
6
Let k(y) = 28*y**2 + 40 + y - 7*y**2 - 20*y**2. Determine k(0).
40
Let p(h) = -h**3 + 18*h**2 - 12*h - 87. Let y(f) = 3*f**3 - 36*f**2 + 25*f + 175. Let i(a) = -7*p(a) - 3*y(a). What is i(-9)?
3
Let s(f) be the second derivative of -f**6/720 + 7*f**5/120 - 4*f**4/3 + 5*f**2/2 - 2*f + 37. Let d(b) be the third derivative of s(b). What is d(12)?
-5
Let d(h) = 28*h - 8. Suppose -5*v = 2*t + 9, -12*t + 121 = -5*v - 0*t. Give d(v).
-148
Let v(j) = -7*j - j**3 + j - 3 + 3*j**2 - 3*j + 13*j - 3*j. Suppose i = -0*i + 4. Suppose i = -2*a + 10. Calculate v(a).
0
Suppose -49*m = -149*m - 300. Let o(x) = -17*x - 9. Calculate o(m).
42
Let i(v) = -917*v + 35. Let f(x) = 765*x - 34. Let n(b) = 6*f(b) + 5*i(b). What is n(6)?
1
Let g(z) = -z**2 + 17*z - 18. Let f be (12 + -3 + -3 + -1)*24/10. What is g(f)?
42
Let q be 3 - (0/(-6) + 1/1). Suppose -9*v + 11*v = q. Let j(o) = -o**3 + 3*o**2 + 4*o - 2. Let s(g) = g - 1. Let n(p) = v*j(p) - 3*s(p). What is n(3)?
4
Let z(w) = w**3 + 8*w**2 + 6*w - 10. Suppose 0 = -4*y - 2*s + 8, 2*y = -5*s + 2*s. Suppose y*f = -f - 332. Let h = -90 - f. Give z(h).
-3
Let m(l) = l - 7*l + 2*l - 5. Let n(u) = 3*u**3 + 11*u**2 + 2*u - 11. Let x be n(-1). Determine m(x).
15
Suppose 5*x + 34 = 59. Let d(l) be the third derivative of l**4/24 - 7*l**3/6 - 547*l**2. Calculate d(x).
-2
Let j be 91/(21 + 98/(-4)). Let s(a) = 2*a**2 + 54*a + 49. Give s(j).
-3
Let a = 139 - 197. Let o = a - -67. Let p(l) = -l + 2. Determine p(o).
-7
Let s(z) = 33939*z**2 - 10 + z**3 + 7*z - 16972*z**2 - 16957*z**2. Determine s(-9).
8
Let b(u) = u**2 + 71*u + 1237. Let k be b(-41). Let r(t) = t**2 + 13*t - 136. Determine r(k).
4
Let k(a) be the first derivative of a**3/3 - a**2 - 2*a + 3. Suppose 5*n - 35 = 4*i - 32, -4*i - 11 = 3*n. Determine k(i).
6
Let b(m) = -11*m**2 + 6*m**2 - 2*m + 7*m**2 - 8. Let w be (-418)/(-66) - (-3 + 30/9). Calculate b(w).
52
Let h = -256 + 260. Let m(i) = 4907*i**2 - 4908*i**2 + h - 1 + i. Determine m(-5).
-27
Let j(o) = -26*o**3 - o**2 + o - 1. Suppose 26*z = 11*z - 2*z + 17. Give j(z).
-27
Let u(s) = -10*s**3 + s - 1. Let b(z) = 79*z**3 - 13*z**2 - 20*z + 2. Let a(i) = -b(i) - 8*u(i). Suppose -44 = 3*x + 2*q, 32 = -3*x + q - 0. Determine a(x).
6
Suppose -120 = 11*d + 20*d - 27. Let w(g) = 2*g**2 - 9. Calculate w(d).
9
Let r(u) = u**2 - 24. Suppose w + 4*f = 4*w - 47, 5*w = -4*f + 25. Let q be r(w). Let z(b) = -5*b + 22 - q - b**2 + 31. What is z(-5)?
-4
Let s be ((-24)/(-78))/((-6)/(-39)). Let p be ((-99)/66)/(s + 5/(-2)). Let u(l) be the second derivative of -5*l**3/6 + 3*l**2/2 + l. What is u(p)?
-12
Let d(j) = -12*j. Let a be (18/3)/(-5 - (1 - 5)). Let s(n) = -2*n**2 - 15*n - 17. Let v be s(a). What is d(v)?
-12
Suppose -6 = 3*m - 0*m - 3*g, 4 = 4*g. Let c(f) = -55*f**3 + 3*f**2 + f. Calculate c(m).
57
Let n = -4 - -9. Let z(w) = -w**3 + 40*w**2 + 2*w. Let r(g) = -g**3 + 35*g**2 + 2*g - 1. Let h(c) = -7*r(c) + 6*z(c). Determine h(n).
-3
Let s(r) = -r**2 + r + 2. Let x be s(3). Let z(u) = -12*u**2 + 14*u - 20. Let b(j) = 11*j**2 - 12*j + 18. Let a(h) = 10*b(h) + 9*z(h). Give a(x).
8
Let m(q) = -q + 4*q**3 - 301*q**2 + 299*q**2 - 3 - 1. Let h(a) = 5*a**3 - 2*a**2 - 5. Let w(l) = -3*h(l) + 4*m(l). What is w(3)?
-4
Let d(t) = 49*t**3. Let k(m) = -4*m**2 + 169*m + 307. Let w be k(44). Give d(w).
-49
Let f(y) be the third derivative of y**7/840 + y**6/180 - y**5/30 - y**4/12 + 11*y**3/2 - 36*y**2. Let a(m) be the first derivative of f(m). Determine a(-4).
-18
Let f(v) = v**2 - 2*v + 40. Suppose 0 = -1049*o + 1075*o. Determine f(o).
40
Let v(i) be the third derivative of -i**4/2 - i**3 + 3*i**2 - 48. What is v(6)?
-78
Let m(w) = -2*w - 4. Let y(v) = 3*v + 5. Let i(x) = 4*m(x) + 3*y(x). Suppose -s - 5 = n, n + 28*s - 26*s = -2. Determine i(n).
-9
Let g = -159 + 161. Suppose 0 = -g*f - 2*u - 14, -4*f - u = 15 + 16. Let h(i) = i**2 + 9*i - 3. Give h(f).
-11
Let h(j) = -5*j - 11. Let t(a) = 9*a + 21. Let l(x) = -x**3 + 5*x**2 + 23*x + 19. Let z be l(8). Let u(f) = z*h(f) + 6*t(f). What is u(7)?
-2
Let x(h) = 14 - 85*h**2 + 0*h**3 + h**3 - 103*h**2 + 192*h**2 + 3*h. What is x(-6)?
-76
Let j(k) be the first derivative of 5*k - 291 + 2*k**2 - 1/3*k**3. Determine j(5).
0
Let s(o) = -o**2 - 19*o - 62. Suppose 4*m - 28 = 0, -2*m = 4*h + 11 + 31. Give s(h).
8
Let c(t) = -696*t**2 + 8*t - 45. Let l(n) = -497*n**2 + 5*n - 30. Let g(b) = -5*c(b) + 7*l(b). Determine g(2).
9
Let k = -13 - -10. Let v be 8*3*k/(-9). Let z(r) = -r**2 - 8*r + 3. Let d(n) = -n**2 - 24*n - 1. Let l(x) = d(x) - 2*z(x). Give l(v).
-7
Suppose 5*v = p - 51, -2865*v - 5*p + 52 = -2861*v. Let g(z) = -z**2 + z. Let t(x) = 4*x**2 - 13*x - 10. Let b(m) = 5*g(m) + t(m). Give b(v).
-3
Let v(x) = x**3 - 3*x - 9. Let k(q) = -3*q**3 + 8*q + 19. Let o(b) = -2*k(b) - 5*v(b). Suppose 0*j - 5*j + 55 = 0. Let t = j + -11. Determine o(t).
7
Let h be -4*(-13)/5 + (-4)/10. Suppose -4*r = -5*j + 39, -h = -2*j - 0*r + 3*r. Let z(k) = 2*k + 13 + j - 46 + 18. Determine z(-4).
-12
Let j be 2 + ((


e cube root of 2405770 to the nearest integer?
134
What is the cube root of 2125627 to the nearest integer?
129
What is the third root of 8650651 to the nearest integer?
205
What is the fifth root of 19395593 to the nearest integer?
29
What is 6901889 to the power of 1/4, to the nearest integer?
51
What is 122710 to the power of 1/3, to the nearest integer?
50
What is 367610 to the power of 1/3, to the nearest integer?
72
What is the third root of 854321 to the nearest integer?
95
What is the fifth root of 684906 to the nearest integer?
15
What is 584265 to the power of 1/3, to the nearest integer?
84
What is the sixth root of 47411 to the nearest integer?
6
What is the fifth root of 13236571 to the nearest integer?
27
What is 985915 to the power of 1/8, to the nearest integer?
6
What is the cube root of 1432210 to the nearest integer?
113
What is 258698 to the power of 1/9, to the nearest integer?
4
What is 351036 to the power of 1/2, to the nearest integer?
592
What is 156560 to the power of 1/3, to the nearest integer?
54
What is the square root of 25479 to the nearest integer?
160
What is the cube root of 496579 to the nearest integer?
79
What is the ninth root of 237853 to the nearest integer?
4
What is 1569464 to the power of 1/2, to the nearest integer?
1253
What is 7324 to the power of 1/2, to the nearest integer?
86
What is the cube root of 625260 to the nearest integer?
86
What is 71415 to the power of 1/4, to the nearest integer?
16
What is the square root of 553705 to the nearest integer?
744
What is the ninth root of 106045 to the nearest integer?
4
What is 1048453 to the power of 1/2, to the nearest integer?
1024
What is the cube root of 17356 to the nearest integer?
26
What is the seventh root of 221368 to the nearest integer?
6
What is the seventh root of 46767 to the nearest integer?
5
What is the square root of 341198 to the nearest integer?
584
What is the ninth root of 389526 to the nearest integer?
4
What is 2060615 to the power of 1/2, to the nearest integer?
1435
What is the tenth root of 4058204 to the nearest integer?
5
What is the square root of 32113681 to the nearest integer?
5667
What is the square root of 268211 to the nearest integer?
518
What is 64656 to the power of 1/2, to the nearest integer?
254
What is the cube root of 1457018 to the nearest integer?
113
What is 2241069 to the power of 1/5, to the nearest integer?
19
What is 25359252 to the power of 1/9, to the nearest integer?
7
What is the ninth root of 3057031 to the nearest integer?
5
What is the square root of 3151555 to the nearest integer?
1775
What is 2640792 to the power of 1/3, to the nearest integer?
138
What is the square root of 265795 to the nearest integer?
516
What is 61003 to the power of 1/9, to the nearest integer?
3
What is the fifth root of 826486 to the nearest integer?
15
What is the square root of 525071 to the nearest integer?
725
What is 68495 to the power of 1/4, to the nearest integer?
16
What is 2204578 to the power of 1/2, to the nearest integer?
1485
What is the tenth root of 2079950 to the nearest integer?
4
What is the cube root of 83944 to the nearest integer?
44
What is the fourth root of 1323858 to the nearest integer?
34
What is the ninth root of 31092466 to the nearest integer?
7
What is the third root of 1656221 to the nearest integer?
118
What is 14541523 to the power of 1/3, to the nearest integer?
244
What is 9862290 to the power of 1/10, to the nearest integer?
5
What is the third root of 11572607 to the nearest integer?
226
What is 12903336 to the power of 1/3, to the nearest integer?
235
What is the cube root of 8198379 to the nearest integer?
202
What is the cube root of 31655 to the nearest integer?
32
What is the square root of 4778160 to the nearest integer?
2186
What is the ninth root of 32905958 to the nearest integer?
7
What is 8824024 to the power of 1/2, to the nearest integer?
2971
What is the cube root of 18989063 to the nearest integer?
267
What is 227726 to the power of 1/3, to the nearest integer?
61
What is the sixth root of 22223248 to the nearest integer?
17
What is the eighth root of 615944 to the nearest integer?
5
What is the third root of 4025675 to the nearest integer?
159
What is the sixth root of 22988057 to the nearest integer?
17
What is the third root of 386031 to the nearest integer?
73
What is 286182 to the power of 1/2, to the nearest integer?
535
What is 15631132 to the power of 1/4, to the nearest integer?
63
What is 3398570 to the power of 1/6, to the nearest integer?
12
What is the square root of 1037222 to the nearest integer?
1018
What is 2596077 to the power of 1/6, to the nearest integer?
12
What is the sixth root of 338108 to the nearest integer?
8
What is 875296 to the power of 1/10, to the nearest integer?
4
What is the square root of 2658093 to the nearest integer?
1630
What is the cube root of 960479 to the nearest integer?
99
What is the fifth root of 7617042 to the nearest integer?
24
What is the seventh root of 643559 to the nearest integer?
7
What is the cube root of 27758 to the nearest integer?
30
What is the cube root of 5691212 to the nearest integer?
179
What is the third root of 1208263 to the nearest integer?
107
What is the fourth root of 5299701 to the nearest integer?
48
What is the eighth root of 454740 to the nearest integer?
5
What is 150769 to the power of 1/3, to the nearest integer?
53
What is the sixth root of 232921 to the nearest integer?
8
What is 286542 to the power of 1/10, to the nearest integer?
4
What is the eighth root of 1605683 to the nearest integer?
6
What is 77547 to the power of 1/3, to the nearest integer?
43
What is 463120 to the power of 1/2, to the nearest integer?
681
What is the fifth root of 592384 to the nearest integer?
14
What is the eighth root of 967917 to the nearest integer?
6
What is the square root of 47584 to the nearest integer?
218
What is 420690 to the power of 1/7, to the nearest integer?
6
What is the square root of 12878077 to the nearest integer?
3589
What is 353849 to the power of 1/6, to the nearest integer?
8
What is the seventh root of 4586970 to the nearest integer?
9
What is 4471278 to the power of 1/4, to the nearest integer?
46
What is the fourth root of 2210142 to the nearest integer?
39
What is the seventh root of 1098268 to the nearest integer?
7
What is 628348 to the power of 1/7, to the nearest integer?
7
What is the square root of 7855306 to the nearest integer?
2803
What is 10381166 to the power of 1/7, to the nearest integer?
10
What is 1059756 to the power of 1/2, to the nearest integer?
1029
What is 134474 to the power of 1/10, to the nearest integer?
3
What is 12614883 to the power of 1/8, to the nearest integer?
8
What is the third root of 176356 to the nearest integer?
56
What is 313922 to the power of 1/7, to the nearest integer?
6
What is the third root of 32615001 to the nearest integer?
320
What is the eighth root of 3071300 to the nearest integer?
6
What is the square root of 252037 to the nearest integer?
502
What is the ninth root of 1437524 to the nearest integer?
5
What is 3433385 to the power of 1/2, to the nearest integer?
1853
What is the sixth root of 10085425 to the nearest integer?
15
What is the square root of 4425481 to the nearest integer?
2104
What is the cube root of 1459214 to the nearest integer?
113
What is the fifth root of 486290 to the nearest integer?
14
What is the third root of 5315690 to the nearest integer?
175
What is the square root of 270040 to the nearest integer?
520
What is the third root of 190752 to the nearest integer?
58
What is 961894 to the power of 1/3, to the nearest integer?
99
What is the fifth root of 2494239 to the nearest integer?
19
What is the eighth root of 519106 to the nearest integer?
5
What is the sixth root of 226077 to the nearest integer?
8
What is 11305282 to the power of 1/3, to the nearest integer?
224
What is 17233198 to the power of 1/7, to the nearest integer?
11
What is 6311349 to the power of 1/7, to the nearest integer?
9
What is the square root of 26175085 to the nearest integer?
5116
What is the square root of 260052 to the nearest integer?
510
What is the cube root of 21844008 to the nearest integer?
280
What is the


-1, 2
Suppose 124138*v - 124151*v + 2 = 2. Factor 8*n**2 + v + 2/7*n**3 + 0*n.
2*n**2*(n + 28)/7
Let h be (20/(-16))/(((-200)/(-72))/((-296)/111)). Factor 1/5*c**2 - 7/5 - h*c.
(c - 7)*(c + 1)/5
Let u(a) be the third derivative of -a**7/1470 + 41*a**6/420 - 23*a**5/60 + 10*a**4/21 + 1466*a**2. Factor u(f).
-f*(f - 80)*(f - 1)**2/7
Suppose -50*j**2 - 77*j**5 + 81*j**5 - 67*j**3 - 50*j**4 + 37*j**4 = 0. Calculate j.
-2, -1, 0, 25/4
Suppose 465/2*b**4 + 257873544 - 88486020*b - 72990*b**3 - 1/4*b**5 + 8014140*b**2 = 0. What is b?
6, 306
Let s(d) be the first derivative of d**6/6 + 62*d**5/5 + 283*d**4 + 5384*d**3/3 + 4928*d**2 + 6272*d + 2324. Suppose s(l) = 0. What is l?
-28, -2
Factor 117/4*h - 3/4*h**2 - 105.
-3*(h - 35)*(h - 4)/4
Let w(c) be the second derivative of c**4/24 + 46*c**3/3 + 352*c**2 - 8692*c. Factor w(m).
(m + 8)*(m + 176)/2
Suppose -10*h = -18*h - 3*h - 17*h + 112. Find y, given that 14/5*y**h + 262/5*y**2 + 24/5 + 156/5*y**3 - 8/5*y**5 + 152/5*y = 0.
-2, -1, -1/4, 6
Let l(h) be the third derivative of 0*h + 0*h**4 + 3/14*h**7 + 0*h**3 + 0 + 8*h**2 - 1/4*h**6 + 1/12*h**5. Suppose l(o) = 0. Calculate o.
0, 1/3
Suppose 2*g + 4*l + 16 = 0, 2688*g + l + 9 = 2690*g. Factor -26/3 + 2/9*h**g - 20/9*h.
2*(h - 13)*(h + 3)/9
Let c(q) = -31 + 6 - 6 - 4 + 13*q. Let x be c(3). Let -7*t**2 - 7/2*t + 15/2*t**x + 9/2*t**5 - t**3 - 1/2 = 0. What is t?
-1, -1/3, 1
Let n = 894088 - 894086. Find y, given that 104/9*y**3 - 58/3*y**n + 8/3 + 64/9*y - 2*y**4 = 0.
-2/9, 1, 2, 3
Let l(g) = 9*g**3 + 21*g**2 + 40*g + 24. Suppose -5*d - 6*d - 44 = 0. Let t(u) = -u**3 + u**2 - 1. Let s(j) = d*t(j) - l(j). What is q in s(q) = 0?
-2, -1
Let d(o) be the second derivative of 0 + 0*o**2 + 4913/36*o**3 + 289/24*o**4 - 205*o + 17/40*o**5 + 1/180*o**6. Let d(y) = 0. Calculate y.
-17, 0
Let m(n) be the third derivative of -33*n**2 - 13/3*n**3 - 1/60*n**5 + n + 0 + 9/8*n**4. Factor m(s).
-(s - 26)*(s - 1)
Factor -191844/5 + 876/5*w - 1/5*w**2.
-(w - 438)**2/5
Let y be -8 + 4 + (30 - 5). Let l be 9/12 - (-420)/16. Factor -2*k**3 - 27*k - y*k + l*k**2 - 5*k**2 - 72.
-2*(k - 6)**2*(k + 1)
Let f(o) be the third derivative of -2*o**7/735 - 2*o**6/5 - 11*o**5/7 - 41*o**4/21 + 3441*o**2. What is k in f(k) = 0?
-82, -1, 0
Let a(c) = -3*c**4 - c**3 + 7*c**2 + c. Let x(t) = -t**4 - 2*t**3 - t**2 - t. Let r(q) = -a(q) + 4*x(q). Factor r(o).
-o*(o + 1)**2*(o + 5)
Let v(o) = o**2 + 12*o + 14. Let f be v(-11). Let a = 323 - 321. Determine l so that -l**4 - 6*l**f - 4*l - 10*l**2 + 0*l**a + 3*l**4 + 8 + 10*l = 0.
-1, 1, 4
Factor 236/3*b**2 + 7/3*b**3 - 128/3 + 380/3*b.
(b + 2)*(b + 32)*(7*b - 2)/3
Let n be -42 - (656/(-24) + -18). Suppose n*l**2 + 16/3*l + 8/3 + 2/3*l**3 = 0. Calculate l.
-2, -1
Let x(a) be the first derivative of a**3/3 + 1651*a**2 + 2725801*a + 5796. Solve x(j) = 0 for j.
-1651
Let j = 5002 + -4997. Let u(p) be the third derivative of 0*p**4 + 0*p - 4*p**2 + 0 + 2/3*p**3 - 1/15*p**j. Find c, given that u(c) = 0.
-1, 1
Find l such that -272 + 101*l**2 - 711*l - 193*l**2 + 0 - 84 + 94*l**2 = 0.
-1/2, 356
Suppose -5*u + 6*v - 5*v + 51 = 0, -5*u + 45 = 5*v. Factor 0*a + 27 - u*a + 3*a**2 + 0*a - 8*a.
3*(a - 3)**2
Let k(y) be the third derivative of y**5/30 + 13*y**4/12 - 4*y**3/3 - 26*y**2. Let i(r) = r**2 + 27*r - 8. Let c(z) = -4*i(z) + 5*k(z). Factor c(w).
2*(w + 4)*(3*w - 1)
Let o = 285289/12 + -23774. Let v(t) be the second derivative of -3/2*t**3 - o*t**4 + 0 + 30*t - 4*t**2. Factor v(y).
-(y + 1)*(y + 8)
Suppose 0 = 27*x + 1456 - 403. Let u be x/(-12) - (-55)/(-44). Factor 2/5*o**3 + 0*o - 4/5*o**u + 0.
2*o**2*(o - 2)/5
Find p such that 190*p**4 + 58401*p**3 + 7339*p**2 - 10086*p + 8282*p**2 + 65*p**4 - 64188*p**3 - 3*p**5 = 0.
0, 1, 2, 41
Let z(r) be the second derivative of -3*r**5/20 + 27*r**4/4 - 102*r**3 + 462*r**2 - 5*r - 385. Let z(k) = 0. Calculate k.
2, 11, 14
Let t = -1549 + 1553. Let c be 120/(-30)*(14/t)/(-7). Find o such that 2*o**c + 2*o**5 + 10/3*o**4 + 0*o - 22/3*o**3 + 0 = 0.
-3, 0, 1/3, 1
Suppose -9*v - n = -11*v - 246, -2*v = 3*n + 262. Let c be ((-4)/(-10))/(9 + 1110/v). Factor -4/3*t + 0 + 16/3*t**3 + c*t**4 + 2/3*t**2.
2*t*(t + 1)**2*(5*t - 2)/3
Let w = 10460 + -10457. Let j(v) be the second derivative of 0 - 7/48*v**w + 1/96*v**4 + 5/8*v**2 + 12*v. Solve j(q) = 0.
2, 5
Let y be ((-363)/132)/(2/(-56)). Factor -y*x**3 - 360*x - 165*x**2 - 80 + 41*x**3 + 16*x**3.
-5*(x + 4)**2*(4*x + 1)
Suppose 3*z = -h - 13, 2*h - 4*z = 22 - 98. Let g be (-16)/56 - 64/h. What is k in 0 + 2/5*k - 2/5*k**g = 0?
0, 1
Solve 320*q**2 + 46*q**5 - 188*q**4 - 163*q**4 + 4000 - 48*q**5 + 405*q**4 + 4800*q - 424*q**3 = 0 for q.
-2, -1, 10
Let j(a) be the first derivative of 0*a - 59 - 15/28*a**4 - 1/14*a**6 + 12/35*a**5 + 0*a**2 + 2/7*a**3. Let j(c) = 0. Calculate c.
0, 1, 2
Let n be 90/(-18) - ((-776)/114 + 0). Let t = -9/19 + n. Factor 2/3 + 2/3*u**2 - t*u.
2*(u - 1)**2/3
Let a(v) be the third derivative of -v**6/60 + 73*v**5/30 + 313*v**4/12 - 385*v**3/3 - 2*v**2 - 4*v - 366. Factor a(d).
-2*(d - 77)*(d - 1)*(d + 5)
Let s = 434088/5 - 86804. Find n such that -324/5 - 4/5*n**3 + s*n**2 - 252/5*n = 0.
-1, 9
Let i(x) be the third derivative of -x**6/40 + 11*x**5/20 - 9*x**4/2 + 18*x**3 + 2*x**2 + 13*x. Factor i(c).
-3*(c - 6)*(c - 3)*(c - 2)
Let f(i) be the first derivative of -13*i**4/22 - 86*i**3/33 + 56*i**2/11 + 561. Solve f(x) = 0 for x.
-56/13, 0, 1
Let l(q) be the first derivative of -q**6/30 + 3*q**5/5 - 5*q**4/2 + 14*q**3/3 + 31*q**2/2 + 2. Let z(r) be the second derivative of l(r). Factor z(g).
-4*(g - 7)*(g - 1)**2
Let o(i) be the third derivative of 0*i + 39*i**2 + 1/10*i**6 + 0 - 8/3*i**3 - 7/15*i**5 + 4/105*i**7 - 2*i**4. Suppose o(s) = 0. Calculate s.
-2, -1, -1/2, 2
Find b, given that 429 - 5*b**4 - 5925*b**2 + 3040*b**2 + 3190*b**2 - 840*b + 111 = 0.
-9, 1, 2, 6
Factor -309*q - 304*q - 1350 - q**2 - 2*q**2 + 282*q - 128*q.
-3*(q + 3)*(q + 150)
Let l(v) be the third derivative of -81*v**8/112 - 1269*v**7/14 - 19881*v**6/4 - 311469*v**5/2 - 24398405*v**4/8 - 229345007*v**3/6 + 39*v**2 + 9. Factor l(w).
-(3*w + 47)**5
Suppose 295 = 2*u + 107. Let m = u + -90. Suppose 2*p - 3*p**2 - 3*p**3 + m*p**2 + 2*p**3 = 0. Calculate p.
-1, 0, 2
Let s(h) be the first derivative of -h**3/3 - 596*h**2 - 355216*h + 3028. Suppose s(w) = 0. Calculate w.
-596
Let q be ((-56)/(-26) - 1)*26*(-24)/(-96). Factor 10*i + 0 - q*i**2.
-5*i*(3*i - 4)/2
Suppose 69*q + 629 - 1256 = -627. Determine s so that -28/13*s**3 + 2/13*s**4 + q - 44/13*s + 70/13*s**2 = 0.
0, 1, 2, 11
Suppose -2*b = -4*b + 2*t - 8, -2*b - 3*t = 13. Let i = 7 + b. Factor 186*z**i + 6*z**3 - 24 + 152*z**3 + 27*z**4 - 29*z**3 + 60*z.
3*(z + 1)*(z + 2)**2*(9*z - 2)
Let x(z) be the second derivative of z**5/22 + 7*z**4/44 + 2*z**3/11 - 3*z**2/2 - 2*z - 3. Let t(f) be the first derivative of x(f). Let t(a) = 0. What is a?
-1, -2/5
Let q(g) = 2*g**2 - 10*g - 10. Let h be q(6). Factor r**h + 3*r - 24 + r + 24.
r*(r + 4)
Suppose 32*u**2 + 22922*u**3 + 193*u**2 + 103*u - 22923*u**3 + 49*u**2 + 172*u = 0. Calculate u.
-1, 0, 275
Let s be ((-4)/20)/((-3)/45). Factor 16*m**2 - 10734 + 10718 - m + 4*m**s - 3*m.
4*(m - 1)*(m + 1)*(m + 4)
Let o be (-30)/(-5 + 11) + -1 + 2. Let k be (6/o)/(10/(-20)). Factor 39*j**k - 39*j**3 - 30*j**2 + 5*j**4 + 40*j - 15.
5*(j - 1)**3*(j + 3)
Let u be 4 + 40 - (4 + -1). Let v be (-5)/4 - (-10)/40 - -4. Factor -75*z**3 + u*z**3 - 14*z**4 + 10*z**5 + 38*z**v.
2*z**3*(z - 1)*(5*z - 2)
Let p(w) = -3*w - 7. Let c be p(-5). Let g = c - 6. Determine o so that 4*o + 2 - o - g*o + 29*o**2 - 30*o**2 = 0.
-1, 2
Let u(w) = -12*w - 1. Let r be u(-3). Factor 25 + 10*p - 115 - r*p - 30*p - 5*p**2.
-5*(p + 2)*(p + 9)
What is v in 4532 - 8197 + v**2 + 4185 - 62*v + 0*v**2 = 0?
10, 52
Let w = 103 - 98. Suppose -w*j**2 + 71*j - 40 - 26*j + 0*j**2 = 0. What is j?
1, 8
Let p be (-58125)/(-3100)*(135/25 - 5). Determine l so that -3/4*l**2 + 1/4*l**4 - 43/4*l + 15/4*l**3 + p = 0.
-15, -2, 1
Let a be (-3)/(-6) - 92/8. Let v = 11 + a. Let -4*i**2 + 223*i + 2*i**3 + 4 - 225*i + v*i**2 = 0. Calculate i.
-1, 1, 2
Suppose -62*l + 63*l - 4*v - 24 = 0, -3*l = 4*v + 24. Factor -2/9*f**2 + 0 + l*f + 2/3*f**3.
2*f**2*(3*f - 1)/9
Let h(q) be the second derivative of 21*q + 17/12*q**4 - 1/84*q**7 - q**3 - 1/15*q**6 - 18*


t replacement from xcvdcbx. Give prob of picking 1 c and 1 b.
2/21
Three letters picked without replacement from dooojhoddhhoojjjoujo. What is prob of picking 1 j, 1 h, and 1 u?
1/76
What is prob of picking 2 s and 2 f when four letters picked without replacement from asfffffseesffaaffsaf?
18/323
What is prob of picking 1 k and 1 f when two letters picked without replacement from {f: 1, g: 1, k: 1, j: 1, a: 1}?
1/10
Calculate prob of picking 2 i when two letters picked without replacement from wiwwiwiwwwwwiwwwwiw.
10/171
Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {l: 14, u: 1}.
2/15
Two letters picked without replacement from iwiiiwwiwwjiwwwwww. What is prob of picking 1 i and 1 w?
22/51
What is prob of picking 2 c and 1 l when three letters picked without replacement from cdkldckcdccodcck?
3/80
Two letters picked without replacement from iiidfxrfrr. Give prob of picking 1 r and 1 d.
1/15
Two letters picked without replacement from {j: 1, d: 4, u: 3}. Give prob of picking 2 d.
3/14
Calculate prob of picking 1 y, 1 j, and 2 w when four letters picked without replacement from {y: 1, w: 4, j: 4, c: 4, l: 3}.
6/455
What is prob of picking 2 d and 1 f when three letters picked without replacement from ffdfdhhhh?
1/28
Three letters picked without replacement from {p: 8, r: 8, f: 2}. What is prob of picking 3 r?
7/102
Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {c: 1, l: 1, x: 1}.
1/3
Calculate prob of picking 1 x and 1 y when two letters picked without replacement from yyyxxyxy.
15/28
Four letters picked without replacement from {a: 4, p: 3, s: 9}. Give prob of picking 3 s and 1 p.
9/65
Two letters picked without replacement from aaaapppppapapapp. What is prob of picking 2 p?
3/10
Calculate prob of picking 2 x and 1 w when three letters picked without replacement from xswsmsxsxs.
1/40
Calculate prob of picking 1 i and 1 m when two letters picked without replacement from imii.
1/2
Three letters picked without replacement from kkkkakaakkkkdada. Give prob of picking 1 k and 2 d.
9/560
Four letters picked without replacement from {s: 3, e: 7}. Give prob of picking 3 e and 1 s.
1/2
Two letters picked without replacement from {t: 3, z: 1, a: 1, v: 4, g: 2, k: 1}. Give prob of picking 1 z and 1 a.
1/66
Three letters picked without replacement from {x: 5, j: 7}. Give prob of picking 3 j.
7/44
Calculate prob of picking 2 d and 1 f when three letters picked without replacement from {d: 11, x: 1, f: 4, i: 1}.
11/34
Calculate prob of picking 1 u and 1 g when two letters picked without replacement from gggguufcfugb.
5/22
Calculate prob of picking 3 d and 1 i when four letters picked without replacement from {a: 1, e: 1, d: 1, i: 2, o: 1, l: 1}.
0
Four letters picked without replacement from {g: 1, h: 5, j: 7, u: 6}. What is prob of picking 2 u and 2 j?
105/1292
Calculate prob of picking 2 i when two letters picked without replacement from {v: 3, i: 2, h: 1, d: 1}.
1/21
Four letters picked without replacement from qqgdkgggkcdc. Give prob of picking 2 q, 1 k, and 1 c.
4/495
Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {m: 3, n: 1, z: 5, i: 6}.
2/7
Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {p: 9, n: 3}.
9/22
Two letters picked without replacement from {x: 1, d: 1, f: 1}. Give prob of picking 1 x and 1 d.
1/3
Two letters picked without replacement from favvvfccvcvqv. Give prob of picking 2 c.
1/26
Two letters picked without replacement from dod. Give prob of picking 1 d and 1 o.
2/3
Three letters picked without replacement from {v: 2, a: 4}. Give prob of picking 1 v and 2 a.
3/5
Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {t: 1, k: 5, d: 1, q: 1, p: 2}.
1/45
Four letters picked without replacement from uuuuuleuuuuuueueuuuu. What is prob of picking 2 u and 2 e?
24/323
What is prob of picking 3 x and 1 h when four letters picked without replacement from hlxxxxllxxxtlll?
1/39
Four letters picked without replacement from {n: 5, d: 10, b: 4}. What is prob of picking 4 n?
5/3876
Three letters picked without replacement from oqcxxox. What is prob of picking 1 x and 2 o?
3/35
Three letters picked without replacement from udddldcdpddlplldlpc. Give prob of picking 1 u, 1 c, and 1 d.
16/969
Three letters picked without replacement from {w: 16, b: 2}. What is prob of picking 2 w and 1 b?
5/17
Calculate prob of picking 1 x, 2 s, and 1 z when four letters picked without replacement from {o: 1, r: 4, s: 2, x: 2, z: 1}.
1/105
Calculate prob of picking 2 z and 2 g when four letters picked without replacement from ckgkkzrzzgz.
1/55
Two letters picked without replacement from mxctcbimxxc. What is prob of picking 1 t and 1 x?
3/55
Four letters picked without replacement from {u: 6}. Give prob of picking 4 u.
1
Three letters picked without replacement from lllllllalaalllllll. What is prob of picking 2 l and 1 a?
105/272
Calculate prob of picking 3 q when three letters picked without replacement from qxqqxxqqxx.
1/12
Calculate prob of picking 2 s when two letters picked without replacement from osnsonnssssonooossss.
9/38
What is prob of picking 3 i when three letters picked without replacement from iifiiiifififiififi?
55/204
Calculate prob of picking 3 u and 1 v when four letters picked without replacement from {n: 1, s: 1, v: 1, u: 3, q: 3, i: 6}.
1/1365
Four letters picked without replacement from {z: 1, m: 1, h: 1, y: 1, f: 1, v: 2}. Give prob of picking 1 m, 1 z, 1 h, and 1 v.
2/35
Two letters picked without replacement from {o: 4, w: 3, j: 2, q: 3, a: 6}. Give prob of picking 1 a and 1 q.
2/17
What is prob of picking 1 a and 2 c when three letters picked without replacement from qcccaqacaaqac?
25/143
Calculate prob of picking 1 s and 1 i when two letters picked without replacement from isssiiiisisi.
35/66
Three letters picked without replacement from {y: 5, s: 1, u: 4, f: 2, o: 2, z: 1}. What is prob of picking 1 f and 2 u?
12/455
Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {l: 2, h: 1, b: 4, y: 7, x: 3}.
1/34
Four letters picked without replacement from {e: 5, i: 6, a: 4, d: 4}. What is prob of picking 2 a, 1 e, and 1 i?
15/323
Calculate prob of picking 1 q, 1 u, and 1 y when three letters picked without replacement from {y: 2, p: 1, s: 1, u: 1, x: 1, q: 2}.
1/14
Four letters picked without replacement from ppumpmpupmpppuuu. Give prob of picking 3 m and 1 p.
2/455
Calculate prob of picking 4 c when four letters picked without replacement from ccccxccccccxc.
6/13
What is prob of picking 2 o when two letters picked without replacement from {o: 11, v: 2}?
55/78
Calculate prob of picking 1 t and 1 f when two letters picked without replacement from tteyfft.
2/7
Four letters picked without replacement from nmmnkdnnmmddnmdddnd. What is prob of picking 3 m and 1 d?
35/1938
Two letters picked without replacement from saasxy. What is prob of picking 1 s and 1 y?
2/15
Four letters picked without replacement from {j: 5, u: 1, g: 2, v: 3, m: 5}. What is prob of picking 1 m, 2 v, and 1 j?
15/364
What is prob of picking 1 e and 1 q when two letters picked without replacement from {o: 2, t: 1, q: 1, e: 2, d: 1}?
2/21
Calculate prob of picking 1 d and 3 a when four letters picked without replacement from saddadsdaa.
8/105
Four letters picked without replacement from uuuffuuuufuufuuufuuu. What is prob of picking 4 f?
1/969
Calculate prob of picking 1 i and 1 r when two letters picked without replacement from krvqtirt.
1/14
Four letters picked without replacement from znnnknzzznml. Give prob of picking 2 n, 1 m, and 1 l.
2/99
What is prob of picking 2 k and 1 y when three letters picked without replacement from xikyxiiik?
1/84
What is prob of picking 1 m and 1 s when two letters picked without replacement from {s: 18, m: 1}?
2/19
Four letters picked without replacement from rheknlln. Give prob of picking 2 l, 1 n, and 1 h.
1/35
Two letters picked without replacement from ewweqweeeeeqedwee. What is prob of picking 1 e and 1 w?
5/17
Calculate prob of picking 2 h, 1 y, and 1 k when four letters picked without replacement from {k: 4, y: 10, h:


(-21)?
True
Let i = 14 + -10. Let m be ((-4)/(-24)*-4)/(i/(-84)). Suppose -26 = -7*s + 4*s + v, m = 2*s + v. Is 2 a factor of s?
True
Let m = -3 - -19. Let r = -13 + m. Suppose -r*t + 62 = -82. Is t a multiple of 8?
True
Let j(l) = 3*l**3 + l**2 - l + 9. Let i be j(-3). Let f = i - -64. Suppose n - 373 = -5*t, 308 = f*t - n - 3*n. Does 15 divide t?
True
Let j(i) = 17*i**2 + 6*i + 21. Is 16 a factor of j(7)?
True
Suppose 6*l = -7429 + 30643. Suppose 9*f + 179 = l. Suppose 2*t - f = -8*t. Is 17 a factor of t?
False
Suppose -27*l - 3971 = -31*l + 5*s, 5*l = -2*s + 4972. Is l a multiple of 2?
True
Suppose 4*z - 9978 = -l, 3615 = 5*l - 2*z - 46209. Does 25 divide l?
False
Let x be 3 + -5 + (5 - 1) + -1. Is 45 a factor of 1*93 + x/3*-9?
True
Suppose -10*p = -57*p + 446594. Is p a multiple of 273?
False
Suppose 8*a + 2*a - 20 = 0. Suppose -9 = 7*u - a. Is ((-2)/(-2) + 7 + -144)*u a multiple of 34?
True
Suppose 10*s = 11095 + 5015. Suppose -s = -4*x - i, -7*x + 1208 = -4*x + i. Is x a multiple of 25?
False
Let d(r) = -3*r**3 - 34*r**2 - 9*r + 13. Let q be d(-11). Let f(c) = -2*c**3 - 9*c**2 - 12*c + 3. Is f(q) a multiple of 20?
True
Let l be 3/(-8) - ((-1016100)/96)/25. Suppose 4*k + l = t + 9*k, 2*t - 2*k = 810. Does 24 divide t?
True
Let s = 26 - 9. Suppose -s*v + 23*v - 18 = 0. Suppose 4*n - 51 = v*m, -m + 2*m = -3*n + 48. Is n a multiple of 15?
True
Let u(t) = -t**3 + 3*t - 14. Suppose 5*z + 7 = 3*a, -2*z + 17 = -2*a - 3*z. Does 10 divide u(a)?
False
Let r be 252/(-30)*(-40)/(-12). Let t(j) = j**3 + 25*j**2 - 87*j + 18. Is 6 a factor of t(r)?
True
Let i = -4039 - -8178. Is 55 a factor of i?
False
Let w(y) = 37*y - 107. Let p be w(15). Suppose t - 4*a - 215 = 0, -2*t + 4*a = 5*a - p. Is t a multiple of 14?
False
Suppose 0 = -5*v + s - 78, -4*v - 4 = s + 53. Is ((-1)/(-1))/(v/(-345)) a multiple of 12?
False
Let x(f) = -40*f + 30. Let q be x(-3). Suppose -7*u + q = -4*u. Is 3 a factor of u?
False
Suppose -4*r - 5530 = -c, -2*r - 6034 - 16044 = -4*c. Is 18 a factor of c?
False
Let l(w) be the first derivative of -w**2/2 - 3*w + 37. Let p be l(-3). Suppose d = 4*s + 7, -d - 8*s + 13*s + 5 = p. Does 3 divide d?
True
Let v(c) = -c**2 + 68*c - 191. Let u(r) = -2*r**3 - 11*r**2 + 17*r + 17. Let i be u(-7). Is 65 a factor of v(i)?
False
Let n(u) = -4*u - 40. Let v be n(-11). Suppose -5*z + v*i + 3856 = 0, 2*z + i - 2329 = -797. Does 12 divide z?
True
Does 14 divide -4 + (-160)/(-50) + (-324536)/(-20)?
True
Let c(v) = v**3 + 4*v**2 + 24*v - 519. Does 18 divide c(17)?
True
Let a = 1445 - 1353. Is a even?
True
Let l(h) = h**2 + 4*h - 1. Let b be l(2). Let u(i) = -164*i + 162*i + 0*i**3 + i**3 + 5 - b*i**2. Does 18 divide u(12)?
False
Suppose 10*i - 1688 + 408 = 0. Let y = 292 - i. Is 4 a factor of y?
True
Suppose 8020 = -119*z + 123*z. Is z a multiple of 21?
False
Let b be (10352 - -2) + (-24 - -25). Suppose -36*i + b = -11425. Does 11 divide i?
True
Let o(g) = 57*g**2 + 11*g + 28. Let b be (-6)/4*(-42)/(-21). Is o(b) a multiple of 15?
False
Suppose 4852 = -14*b - 762. Let r = b - -424. Is r even?
False
Suppose -1034 = -5*c + s - 370, 0 = c - 5*s - 128. Suppose -32 - c = -3*r. Does 11 divide r?
True
Let y be 32/(-1)*(-44)/16. Let a = y + -85. Let v(u) = 22*u**2 - 7*u - 7. Is v(a) a multiple of 17?
True
Suppose 10*t = -26*t - 72. Does 9 divide (-3325)/(-10) + t/4*-1?
True
Does 127 divide -11*(-42)/1232 + (-8314)/(-16)?
False
Let h be 498/30 - (-1)/((-10)/(-4)). Let o(a) = a - 7. Let t be o(h). Suppose -4*l = -t - 302. Does 10 divide l?
False
Suppose -4*a - 5*m - 393 = 0, 3*m + 71 = -a - 22. Let z = 126 + a. Suppose -74 = -7*x + 4*x - 2*t, 2*x - z = 5*t. Is 14 a factor of x?
False
Let h(u) = -2*u**3 + 116*u**2 + 28*u - 693. Is h(58) a multiple of 42?
False
Let b(j) = -51*j - 7. Let u be b(-1). Let w = 58 - u. Is 2 a factor of -2 + 49/w + 7/2?
False
Let l = 8899 - -31341. Does 16 divide l?
True
Let f = -362 + 365. Suppose 4*a + 5*m = 295, -f*m + 80 = 4*a - 209. Does 14 divide a?
True
Suppose 55772 = 66*g - 14980. Is g even?
True
Let u(a) = 2*a**2 + 8*a - 24. Let h be u(-6). Suppose -3*l + 6*l = -3*k + 1446, h = -5*k - 2*l + 2404. Is k a multiple of 48?
True
Let g(x) = -24*x + 18. Let o be g(-4). Suppose -53*s - o = -56*s. Does 4 divide s?
False
Suppose -9715 = -43*n + 14*n. Let f = 434 - n. Is 6 a factor of f?
False
Let h(c) = -c**3 + c**2 + 5*c - 3. Suppose -6*i = -4*i - 148. Let j = i - 77. Is h(j) a multiple of 18?
True
Suppose -3*r = -4*z + 135, -18 = -3*r - 5*z - 180. Let b = r + 76. Suppose 0 = 4*l - 131 + b. Is 3 a factor of l?
False
Suppose x = o + 121 - 360, -3*x + o - 711 = 0. Let m = -7 - x. Is m a multiple of 90?
False
Is 106 a factor of (-220)/(-4)*(-1484)/140*-8?
True
Is (-8)/32 + (-1)/(16/(-96516)) a multiple of 16?
True
Is ((-2627605)/(-323) - ((-2)/(-2) - 0))*7 a multiple of 25?
False
Suppose o - 1 = 2*u, 23*o + 4 = -3*u + 27*o. Suppose 4*v + u*r - 199 = -5*r, -2*r - 234 = -4*v. Is 28 a factor of v?
True
Let r(n) = 616*n**2 + 91*n + 523. Does 38 divide r(-5)?
False
Let f(p) = 3*p**3 + 4*p**2 - 8*p - 1. Let s be f(-4). Let m = 49 - s. Let u = m + -82. Does 21 divide u?
False
Suppose -u + 0*u - 5*q + 92 = 0, 3*u - 276 = -5*q. Suppose 16 = 4*z - u. Does 33 divide (-2)/6 + 1791/z?
True
Let i(c) = 1076*c + 1266. Is 111 a factor of i(15)?
False
Suppose 59*o + 18*o - 2354198 = 0. Is o a multiple of 13?
False
Let t(p) = 55*p**2 + 3*p - 12. Let f be t(2). Suppose -11*h + 852 = f. Does 5 divide h?
False
Let u = 185 - 177. Suppose -n = -7*z + u*z - 599, 0 = 3*n - 4*z - 1804. Does 40 divide n?
True
Let s(z) = -z**2 - 12*z + 18. Let c be s(-13). Suppose -c*q = 2*p - 256 - 41, 0 = -p - 4*q + 153. Let n = p + -50. Does 25 divide n?
False
Let h = -4023 - -4341. Does 11 divide h?
False
Let r(t) = -1595*t + 691. Does 26 divide r(-7)?
True
Suppose -18*p + 54*p - 324 = 0. Let y be -1*(1 - 0 - 23). Suppose -p*u + y = -662. Is 13 a factor of u?
False
Suppose 0 = 2*j - 5*x + 8649 - 44874, -4*j = -3*x - 72471. Is 120 a factor of j?
True
Suppose -8*l = 4588 - 28636 - 123296. Does 61 divide l?
False
Suppose 0 = 4*n + 3*r - 35274, -3*n + r + 26493 = -3*r. Is n a multiple of 51?
True
Let t = 9928 - 9803. Is t a multiple of 13?
False
Let m be -4 + (-15)/(-5) - (1 + -5). Suppose -41 + 104 = t - 5*q, -189 = -m*t - 2*q. Is 2 a factor of t?
False
Let i be (-14)/(-21) + 8/(-3). Is 13 a factor of ((-380)/25)/i*25?
False
Does 24 divide (-3 - (-30)/15)*(-4960 + 2)?
False
Suppose -5*l - 9936 = 29*g - 31*g, 5*g = l + 24886. Is g a multiple of 89?
False
Suppose 5*x + 169 = -11. Let q = 67 + x. Let c = -11 + q. Is c a multiple of 4?
True
Suppose 5*v + 344 = 3*k, 3*v + 3*k = 5*v + 134. Is 26 a factor of (-1749)/(-5) + (-14)/v?
False
Suppose -219*d + 126888 = -373400 - 1151848. Is 23 a factor of d?
True
Let n be -2 - (4/(-38) - (-128415)/(-57)). Suppose -n = -6*a + 3797. Is 16 a factor of a?
True
Let t = -129 + -44. Let o = -104 - t. Is o a multiple of 23?
True
Let k(o) = o + 0*o + 2*o - 4*o + 3. Let s be k(9). Let l(u) = -5*u - 27. Does 2 divide l(s)?
False
Suppose 128 = -9*c + c. Let z be (c/(-20))/((-2)/(-265)). Let a = z - 70. Does 9 divide a?
True
Suppose 4*h - 7*h - 4116 = 0. Let c = h - -1961. Is 31 a factor of c?
True
Suppose -18 + 42 = 3*y + 4*l, -l + 3 = 0. Suppose -4 = -y*p - 0, -71 = -o + p. Is o a multiple of 12?
True
Let u(a) = a**2 + a + 10. Let b(y) = -y**2 + 9. Let s(r) = -3*b(r) + 2*u(r). Is 37 a factor of s(6)?
True
Suppose 0 = -3*h - 0*h + 15. Let d be (11 - (-476)/(-56)) + (-1)/2. Suppose d*z - h*z = -3*n - 105, -3 = 3*n. Does 4 divide z?
False
Suppose 3*w + 443 + 487 = 3*r, -5*r + 1535 = -2*w. Let f = 294 + -291. Suppose -4*j = 8, 4*q + f*j - r = 349. Is q a multiple of 15?
True
Suppose 3*d = 6*s - 2*s - 12, -3*s + 9 = 5*d. Suppose -5*z - s*b + 2851 = 0, 0*z + b = 4*z - 2291. Is z a multiple of 31?
False
Let l = 239 - 13. Suppose -6*h + 404 + l = 0. Does 7 divide h?
True
Suppose -3*g - 11 + 17 = 0. Suppose 368 = g*i + 4*r, -2*r = i + i - 368. Suppose 3*f + i = 3*a - 2*f, 3*a - 166 = -4*f. Is 10 a factor of a?
False
Suppose 0 = -5*d + 484407 - 71107. Is d a multiple of 14?
False
Let z = -196 + 368. Suppose -y + z = y + k, 4*y - 336 = 2*k. Does 17 divide y?
True
Let h(u) be the second derivative of u**4/6 + u**3/2 + 3*u**2 + 24*u. Let m = 40 - 32. Is h(m) a multip


 8/6*5490/(-2440).
-3
((-130)/(-325))/((-126)/(-15))
1/21
(-7)/((-105)/30)*-5
-10
Calculate (90/(-585))/(12/26).
-1/3
Evaluate 406/(-7)*(-33)/1914.
1
Evaluate (-390)/45*6/4.
-13
Calculate (1/((-2)/(-6)))/(34*98/(-833)).
-3/4
Evaluate ((-84)/(-168))/((-5)/30).
-3
Calculate ((-14)/(-28))/(((-7)/(-6))/7).
3
Calculate 218/(-109)*297/18.
-33
Evaluate (310/1116)/(5/3)*75.
25/2
What is the value of ((-60)/4)/(-1*(-1)/(2/2))?
-15
What is the value of 3/(((-1)/1)/(1020/180))?
-17
((-325)/7540)/((-4)/(-96)*-10)
3/29
(14/60)/((-1981)/(-849))
1/10
Evaluate (-2)/(-7)*224/(-24)*3.
-8
(-12)/4*-1*(1/1)/3
1
((-68)/35190*-23)/(6/(-10)*1)
-2/27
What is the value of (16/720*15*3)/((-20)/(-4))?
1/5
Calculate (4/(-9))/(101/(-101)).
4/9
Evaluate ((-2)/(6/63))/(32/(544/17)).
-21
What is ((-20)/6)/(820/(-246))*16?
16
(22/(-8))/((-312)/(-1248))
-11
What is the value of ((-9)/((-135)/4))/(216/(-180))?
-2/9
What is 75/(10/(300/(-90)))?
-25
What is ((-7)/4)/((-1316)/3760)?
5
Calculate 2/30*(-126)/28.
-3/10
Calculate (1*(-52)/78)/(155/(-30)).
4/31
((-2)/1)/(-6)*(-27)/165*-5
3/11
Calculate (6*2/18)/(6/((-18)/5)).
-2/5
Evaluate 2/(-7)*168/(-2)*6/12.
12
Calculate 4*1/(((-132)/11)/(-12)).
4
What is ((-31)/1116*-18)/((7/(-72))/(-7))?
36
(20/(-18))/((-16)/((-2592)/18)*-1)
10
What is ((-13)/260)/((9/54)/((-1)/3))?
1/10
Calculate ((-5)/20)/((511/(-657))/(4/(-18))).
-1/14
What is the value of (585/(-45))/39*(-2)/20*9?
3/10
What is the value of ((-561)/6545)/(((-27)/5)/3)?
1/21
Evaluate 1*7*3/(-21).
-1
Evaluate (19/(-38)*8/(-54))/(2/6).
2/9
What is the value of ((3/3)/((-14)/(-6)))/(204/(-357))?
-3/4
Calculate 6/225*5*30/6*-2.
-4/3
What is the value of (35/(-10))/(4*5/(-40))?
7
What is the value of ((-1895)/(-1516))/(70/8)?
1/7
(-165)/66*20/(-5)
10
What is 1/(-1)*(-63)/(-105)*(-30)/(-2)?
-9
Calculate 6/20*2452/(-9195).
-2/25
Evaluate 8*((-136)/(-128))/17.
1/2
(2/10*(-105)/(-126))/((-609)/116)
-2/63
Evaluate 15/(165/22)*3*81/(-18).
-27
Evaluate ((-24)/(-90))/((-24)/540*-9).
2/3
((-715)/(-52))/((-44)/(-16))
5
Evaluate 8/(960/27)*(144/27)/4.
3/10
What is 1*-16*(-96)/(-1024)*-8?
12
What is the value of 7/21*81/(-837)?
-1/31
Calculate ((-11)/((-605)/22))/((-3)/(45*1)).
-6
What is the value of ((-8)/2)/(((-10075)/(-50))/31)?
-8/13
Evaluate 8/6*((-80325)/(-140))/45.
17
Evaluate (960/(-1080))/(12/(-81)).
6
Calculate (-1)/((3/(-153))/((-7)/21)).
-17
((-9)/198*24)/(4/(-22)*-1)
-6
What is the value of 7/(-1)*22*(-105)/(-1617)?
-10
What is the value of ((-35)/12)/(5*12/(-24))?
7/6
Evaluate ((24/(-9))/2)/(13/(-624)*-4).
-16
What is the value of 13*(18/(-156))/(17/(-170))?
15
What is (-1701)/27*(-8)/(-36)?
-14
What is (2478/(-1416))/((-1)/(-2))*8/(-7)?
4
What is 2/8*(-9)/159*784/294?
-2/53
What is (2884/18746)/(8/442)?
17/2
What is the value of (2/2)/((-235)/705)*(-2)/3?
2
Calculate ((-784)/(-5880))/(18/(-10)).
-2/27
(21/(-161))/(126/(-42))
1/23
Evaluate ((-585)/(-6))/13*(64/(-12))/4.
-10
What is the value of ((-170)/(-34))/(6*8/(-16))?
-5/3
Evaluate 21/(3150/5)*2/(8/(-10)).
-1/12
What is the value of 7540/130*(3/(-4))/((-42)/(-28))?
-29
((-3)/1)/(-3)*(-1)/11
-1/11
What is 888/74*1/((-9)/(-12))?
16
Calculate (1/14)/(19/(342/3)).
3/7
What is 4*(-60)/96*(-12)/8?
15/4
Calculate (14/21)/(3/(72/1)).
16
264/(-1386)*(-14)/4
2/3
What is the value of (46/483)/(54/63*(-3)/(-6))?
2/9
Calculate -6*(-3)/((-540)/510).
-17
Evaluate (14/21)/(9/(-297)*2).
-11
(-14)/(((-1)/7)/(102/(-1428)))
-7
Evaluate (194/(-970))/(2/500*2).
-25
What is (50*12/120*(-1)/(-5))/1?
1
Evaluate ((-6)/(-50))/(42/1050*-5).
-3/5
What is (-216)/16*46/69?
-9
Calculate ((189/54)/((-14)/1))/((-11)/4).
1/11
Evaluate 15/(-7)*308/(-33).
20
What is 4/(-44)*-121*34/3740?
1/10
Evaluate ((-34)/(68/(-7)))/(2/(-4)).
-7
2*(-30)/(-160)*-4*(-18)/24
9/8
((-42)/(-189)*-9)/(-9)
2/9
Calculate (33/55)/(6/20).
2
What is (((-2277)/462)/23*(-2)/(-3))/(-2)?
1/14
Calculate ((-1096)/(-137))/((-8)/10).
-10
Evaluate (8/63)/((-84)/49).
-2/27
What is the value of ((-24)/12)/(2/(-5))?
5
(-35)/60*-28*1656/966
28
What is the value of 1*-10*7*(-32)/80?
28
(-9)/(5/5)*(-34)/204
3/2
Calculate ((-8)/(-7))/(6152/2307).
3/7
What is -5*2*(-240)/120?
20
What is the value of ((-7)/(-1))/(((-38)/2)/(-19))?
7
Evaluate ((-397)/(-1588))/(15/8).
2/15
What is the value of (-52)/(-13)*42/(-12)?
-14
What is the value of ((-18)/6)/(((-1155)/10)/(-7))?
-2/11
What is 45/180*(-3)/12*2?
-1/8
Calculate (50/(-275))/(1/11).
-2
What is (1024/(-156))/32*(-3)/(-4)?
-2/13
((-20)/(500/15))/((-3)/(-125))
-25
Calculate ((-138)/18)/23*-25*-3.
-25
Calculate (2/(-140))/(296/(-3108)).
3/20
What is (((-3)/(-2))/(1/(-1)))/((-1)/6)?
9
9/(-3)*325/75
-13
What is the value of 5/9*84*74/(-2220)?
-14/9
36/(-12)*4/(-6)
2
Evaluate (-2)/(2*(-2)/(-3)*78/572).
-11
(1*1/(-6))/(46/(-3036))
11
Evaluate -5*19*((-3)/240)/((-62)/992).
-19
((-26)/(156/63))/((-2)/(-1))*-4
21
What is 30/255*17*1/(-31)*1?
-2/31
What is (-756)/27*6/(60/5)?
-14
Calculate ((-7)/(105/(-72)))/(((-460)/(-50))/23).
12
Calculate (4/(-6))/(7/63).
-6
Evaluate 8/18*(-18405)/(-3272).
5/2
-2*-3*(1309/42)/(-17)
-11
18/(-45)*10*(-28)/(-49)*14
-32
What is (((-25)/(-50))/(15/(-20)))/(2/26)?
-26/3
Evaluate 1/(-1)*(-3)/20*12.
9/5
45/(-100)*(-7)/((-126)/45)
-9/8
Evaluate 48/(-3)*9/6*(-9)/(-27).
-8
13/13*25/5
5
Evaluate (-255)/102*(-3)/5*2/(-12).
-1/4
What is ((-2)/1)/(8/(-15)*21/(-4))?
-5/7
What is the value of (4/60)/((-5)/45)*20?
-12
((-6)/(-8))/(-1)*(-1158)/(-6948)
-1/8
Calculate 28/6*(-8)/((-112)/21).
7
1*(33/15)/((-13)/65)
-11
Evaluate (-238)/1547*(-1)/3*13.
2/3
Calculate -13*(-124)/403*2/(-28).
-2/7
Evaluate (-20)/1160*((-168)/(-105))/((-2)/(-5)).
-2/29
(2/(-14))/((-57)/1596)
4
What is (12/4)/(3/(-8))*(-52785)/28152?
15
What is (6/15)/2*2*(-162)/(-324)?
1/5
Calculate ((-10)/4)/((56/48)/((-112)/(-40))).
-6
What is the value of (276/483)/((-16)/616)?
-22
Evaluate ((-16)/(-48))/(2/10*100/(-1980)).
-33
Evaluate 2/(-2)*((-3300)/40)/(-55).
-3/2
Calculate 8/(-72)*6*1/(-28)*-12.
-2/7
Calculate 10/6*(-450)/100*3/(-27).
5/6
Calculate (-4*(-2)/372)/((2482/51)/(-73)).
-1/31
What is the value of (-4)/(-14)*(-455)/195?
-2/3
((-7155)/2120)/(33/(-16))
18/11
What is the value of ((-100)/(-8))/(595/(-714))?
-15
Evaluate (20/56)/((-56)/(-3920)).
25
What is (-3*24/(-63))/((-127)/((-5334)/180))?
4/15
What is the value of 25/(975/(-26))*14/(-4)*-6?
-14
Evaluate (198/78)/((-51)/663).
-33
What is (-6)/(-10)*(-12)/18?
-2/5
(20/16)/((22/(-66))/(8/(-150)))
1/5
What is (13/78)/((-37)/222)?
-1
What is the value of (3*342/(-108))/2?
-19/4
What is the value of (-1424)/(-5518)*(-2)/(-8)?
2/31
Evaluate -3*(-2)/((-5)/((-20)/8)).
3
Evaluate (3603/2402)/(-1*(-2)/24).
18
Calculate (216/(-144))/(9*8/3).
-1/16
380/(-114)*(-3)/(-4)
-5/2
(188/(-1645))/(2/5)
-2/7
What is ((4515/665)/43)/(12/(-8))?
-2/19
Evaluate 35/(-14)*(-48)/40.
3
What is the value of ((9/(-6))/(-1))/(4*7/(-8))?
-3/7
What is 198/220*420/270?
7/5
2/9*18*(-40)/384
-5/12
1/((570/133)/(-6))
-7/5
Evaluate ((-1)/(17/((-833)/(-28))))/(1/4).
-7
What is -6*(-84)/(-72)*-3?
21
What is (((-1)/2)/((15/12)/5))/1?
-2
Calculate ((-23)/(230/(-90)))/(5/(10/(-6))).
-3
What is ((-93)/(23436/315))/(2/4)?
-5/2
(34/((-10472)/66))/(7/(98/(-24)))
1/8
Evaluate (36/(-18))/(9/((-612)/(-8))).
-17
What is (-72)/32*((-384)/60)/(-8)?
-9/5
What is (-1*5)/((-18)/27*24/(-32))?
-10
What is (2/(-2))/((-172)/1720)?
10
What is the value of (-1)/(7/20)*(-91098)/10845?
24
Calculate (((-513)/95)/(-9))/(36/(-105)).
-7/4
Evaluate 1/(-6)*(-273)/(-455)*10/(-4).
1/4
What is (6*(-16)/128)/((-9)/6*3)?
1/6
(7/14)/((-437)/184)
-4/19
Evaluate (10/(-8)*564/470)/(3/2).
-1
Calculate (-1)/2*(-14)/(-91)*-13.
1
What is (156/(-13))/(-12)*4?
4
What is ((-2892)/(-482))/(3/((-6)/(-32)))?
3/8
What is the value of ((-26)/(-4)*-3)/((-109)/(1526/(-21)))?
-13
What is ((-1)/(-7))/(((-20)/(-14))/(1678/(-839)))?
-1/5
Calculate 54/(-18)*3/(1305/10).
-2/29
What is (-9)/(-2)*600/(-675)?
-4
95200/(-2380)*(-2)/(4/(-1))
-20
Evaluate (7/8)/(469/3752).
7
Calculate ((-6)/8*(-80)/450)/(-2).
-1/15
(3/3)/(-3)*22*36/24
-11
What is the value of (((-12)/(-12))/(30/20))/(1/36)?
24
What is the value of ((-6)/4)/1*10/15*4?
-4
What is 4/(-36*(-35)/2520)?
8
What is the value of (-1*(-2)/(-2))/((-53)/(-25228)*34)?
-14
((-8)/(-3))/(-2)*(1140/(-80))/(-19)
-1
(12/(-27)*20/80)/(110/(-60))
2/33
Evaluate 51/(-238)*(-32)/48.


119*d**2 - 137*d**2.
6*d**2
Collect the terms in -40854*w + 20445*w - 5*w**3 + 20409*w.
-5*w**3
Collect the terms in -872*o - 122*o - 147*o.
-1141*o
Collect the terms in -1300*r**3 + 2611*r**3 - 1287*r**3.
24*r**3
Collect the terms in -63*y**2 - 85*y + 49*y + 65*y**2 + 3.
2*y**2 - 36*y + 3
Collect the terms in -135*r - 175*r + 2 + 269*r.
-41*r + 2
Collect the terms in -14*i**2 + 14*i**2 - 137*i**2.
-137*i**2
Collect the terms in -y**2 - 7 + 115840*y - 115840*y.
-y**2 - 7
Collect the terms in 0 + 5*o + 3 - 4*o - 28*o.
-27*o + 3
Collect the terms in -4 + 0 - 4*y + 12.
-4*y + 8
Collect the terms in -41*o**2 + 20*o**2 + 0*o + 0*o + 7*o**3 + 22*o**2.
7*o**3 + o**2
Collect the terms in 5534*h**3 + 5529*h**3 - 11060*h**3.
3*h**3
Collect the terms in 28*c**3 + 14 - 11*c**3 - 8*c**3 - 14.
9*c**3
Collect the terms in 104073*a**2 - 3 + 3 - 104009*a**2.
64*a**2
Collect the terms in -588*l - 47*l**2 - 32*l**2 + 91*l**2.
12*l**2 - 588*l
Collect the terms in -4518*j**2 - 4537*j**2 + 9047*j**2.
-8*j**2
Collect the terms in -12*s - 242 + 99 + 13*s + 143.
s
Collect the terms in 0*f**2 + 69*f**3 - 7*f**3 + 92*f**3 + 0*f**2.
154*f**3
Collect the terms in 180*l**3 - 301*l**3 + 118*l**3.
-3*l**3
Collect the terms in -330*z - 1194*z - 83*z - 314*z.
-1921*z
Collect the terms in -170 - 2*r**2 + 170 - 9*r.
-2*r**2 - 9*r
Collect the terms in -1636*s + 367*s - 3348*s.
-4617*s
Collect the terms in 2127*c**3 - 18 + 0 - 2131*c**3.
-4*c**3 - 18
Collect the terms in 8618*o + 1650*o + 1876*o.
12144*o
Collect the terms in 21 + 0 - 38 - 5*u - 19.
-5*u - 36
Collect the terms in -27*k - 135*k + 105*k.
-57*k
Collect the terms in -864*j + 432*j + 429*j + 7 + 0.
-3*j + 7
Collect the terms in 4 - 6 - 3 - 2 - 6*g.
-6*g - 7
Collect the terms in -4*s**2 + 6651*s - 6651*s.
-4*s**2
Collect the terms in -551*p + 1105*p - 4*p**3 - 554*p + 6*p**3.
2*p**3
Collect the terms in -25*m**2 - 169275949*m + 169275949*m.
-25*m**2
Collect the terms in -187*p**3 - 153*p**3 + 644*p**3 - 150*p**3 - 153*p**3.
p**3
Collect the terms in -207*b**2 + 609*b**2 - 203*b**2 - 1 - 204*b**2 + 1.
-5*b**2
Collect the terms in 70 - 159 + 89 - 19*b - 15*b.
-34*b
Collect the terms in 657*k**3 + 2*k**2 + 198*k**3 - 195*k**3.
660*k**3 + 2*k**2
Collect the terms in -10*q - 43 - 38*q + 140.
-48*q + 97
Collect the terms in 3*m**2 + 127*m**3 - 3*m**2 + 132*m**3 - 250*m**3.
9*m**3
Collect the terms in 2*n + 1445 - 3*n - 1580.
-n - 135
Collect the terms in -111*i**2 - 655*i + 655*i.
-111*i**2
Collect the terms in 2*m + 118*m + 29*m - 36*m.
113*m
Collect the terms in -12 + 42 - 12*r**2 + r**2 + 9.
-11*r**2 + 39
Collect the terms in 34*o + 288*o**2 + 25 - 11 - 14 - 290*o**2.
-2*o**2 + 34*o
Collect the terms in 712*g**2 - 158*g**2 - 307*g**2.
247*g**2
Collect the terms in -17348*d - 17462*d + 34808*d.
-2*d
Collect the terms in 9*b + b - b - 26 - 6*b + 125.
3*b + 99
Collect the terms in 2517 - 4714 + 72*h**2 + 2195.
72*h**2 - 2
Collect the terms in 7*k**2 - 1595108 + 1595108 - 9*k**2.
-2*k**2
Collect the terms in -2 + 1 + r**2 + 63*r + 1.
r**2 + 63*r
Collect the terms in -18*d**2 + 1114*d**3 + 12*d**2 + 6*d**2.
1114*d**3
Collect the terms in -3 - 319*u - 1 - 1 + 5.
-319*u
Collect the terms in 1244*w - 611*w - 646*w.
-13*w
Collect the terms in -11*t**3 - 8*t**3 + 40*t**2 - 13*t**3 + 33*t**3 - 42*t**2.
t**3 - 2*t**2
Collect the terms in 0*b**2 - 5*b**2 - 7*b**2 + 11*b**2 + 12403.
-b**2 + 12403
Collect the terms in 2*y**2 + 424 + 174*y - 174*y + 1229.
2*y**2 + 1653
Collect the terms in -47*h + 12*h + 2*h + 23*h.
-10*h
Collect the terms in 422 - 870 - 7*h**3 + 448.
-7*h**3
Collect the terms in 2782366 - 2782360 + 19*a**3 - 15*a**3.
4*a**3 + 6
Collect the terms in -3*q - 3*q**2 - 3*q - q + 0*q + 7*q**2.
4*q**2 - 7*q
Collect the terms in -93936*f**3 + 0*f**2 + 94237*f**3 + 0*f**2.
301*f**3
Collect the terms in -98385*v**2 + 0*v + 0*v + 507 + 98385*v**2 + v**3.
v**3 + 507
Collect the terms in 166*y**2 + 63*y**2 + 0 + 2 - 68*y**2.
161*y**2 + 2
Collect the terms in -538*p**3 + 36 + 33 - 69.
-538*p**3
Collect the terms in 10*v + 20*v + 12*v + 13*v - 56*v.
-v
Collect the terms in -1594*a**3 + 3171*a**3 - 1574*a**3.
3*a**3
Collect the terms in 106*g + 69*g**3 + 107*g - 213*g - 64*g**3.
5*g**3
Collect the terms in 2 - 1 + 230*w - 345*w + 1.
-115*w + 2
Collect the terms in -6 - 188*t - 10 + 18.
-188*t + 2
Collect the terms in -11*w**3 - 12668*w**2 + 12668*w**2.
-11*w**3
Collect the terms in 24*g + 2*g**3 - 102*g + 19*g + 36*g + 23*g.
2*g**3
Collect the terms in -4*o - 74*o + 0*o + 80*o.
2*o
Collect the terms in -46*m + 46*m - 2145*m**2 + 699*m**2 - 1059*m**2.
-2505*m**2
Collect the terms in 6 + 3 - 12*f**3 - 9.
-12*f**3
Collect the terms in -2373993*w - 52*w**2 + 2373993*w.
-52*w**2
Collect the terms in 10 + 3164*y - 6 - 4.
3164*y
Collect the terms in 59 - 621*m**2 + m + 82 - m + 619*m**2.
-2*m**2 + 141
Collect the terms in -46*x**2 - 38*x**2 - 18*x**3 - 39*x**2 + 161*x**2 - 41*x**2.
-18*x**3 - 3*x**2
Collect the terms in -29052 + 29048 - 24*p + 12*p + 12*p + 7*p**3.
7*p**3 - 4
Collect the terms in 104*y**2 + 103*y**2 + 90*y**2 - 313*y**2.
-16*y**2
Collect the terms in -7*i + 49 - 98 + 48.
-7*i - 1
Collect the terms in -404 + 618*c - 313*c - 304*c.
c - 404
Collect the terms in 10090*m**3 - 20126*m**3 + 10034*m**3.
-2*m**3
Collect the terms in 2*p**2 - 25*p + 0*p**2 + 62*p - 6*p**2 + 3*p.
-4*p**2 + 40*p
Collect the terms in -15883*b + 7983*b + 7995*b.
95*b
Collect the terms in 200*n**2 - 97*n**2 - 104*n**2 + 37*n.
-n**2 + 37*n
Collect the terms in -425*b - 429*b - 436*b + 1723*b - 437*b.
-4*b
Collect the terms in 5*y**3 - 52165322086*y + 52165322086*y.
5*y**3
Collect the terms in -32*q**2 - 175*q**3 + 356*q**3 - 180*q**3.
q**3 - 32*q**2
Collect the terms in -16*p**2 - 29*p - 5*p**2 - 33*p + 99*p - 37*p.
-21*p**2
Collect the terms in -2*k**2 - 3*k + 5*k + 0*k + 0*k.
-2*k**2 + 2*k
Collect the terms in 75 - 198 - 29*i**3 + 123.
-29*i**3
Collect the terms in -12 + 5 + 23 - 42*n - 5 - 11.
-42*n
Collect the terms in 6656281 - 6656281 + 14*t**3.
14*t**3
Collect the terms in 64*m**3 - 127*m**3 + 75*m**3.
12*m**3
Collect the terms in 1627*p - p**3 - 3269*p + 1642*p.
-p**3
Collect the terms in 8*q + 5*q - 13*q + 801*q**3.
801*q**3
Collect the terms in -2*n + 62*n**3 + 61*n**3 + 66*n**3 - 196*n**3.
-7*n**3 - 2*n
Collect the terms in -13*p + p - 37248 + 37254 - 6*p.
-18*p + 6
Collect the terms in -3675646*c + 3675646*c - 87*c**3 + 4*c**2 - 4*c**2.
-87*c**3
Collect the terms in -5 + 587123*o + 5 - 587122*o.
o
Collect the terms in -5 - 2864930*a**3 + 2864982*a**3 + 4.
52*a**3 - 1
Collect the terms in -4*d + 211 - 30 + 5 + 3*d.
-d + 186
Collect the terms in 2*z + 19157*z**2 - 2*z + 19157*z**2 - 38309*z**2.
5*z**2
Collect the terms in -2302900 - p**3 + 2302900.
-p**3
Collect the terms in -39 + 30 + m**2 - 20*m**2.
-19*m**2 - 9
Collect the terms in -19*z**3 - z**2 - 325669 + 651340 - 325671.
-19*z**3 - z**2
Collect the terms in -398 + 781 - 385 - 4*v**2.
-4*v**2 - 2
Collect the terms in 1 - 36489*s + 36484*s + 4.
-5*s + 5
Collect the terms in -41 - 122 + 4*m - 92*m**2 + 163 - 2*m.
-92*m**2 + 2*m
Collect the terms in -40*v + 168061 - 84030 - 84031.
-40*v
Collect the terms in -18*j**2 + 376*j + 17*j**2 + 177*j.
-j**2 + 553*j
Collect the terms in 8429301*p + 3*p**2 - 8429301*p.
3*p**2
Collect the terms in -895*h + 444*h + 381*h.
-70*h
Collect the terms in 926*h - 1821*h + 928*h.
33*h
Collect the terms in 1600*l**3 - 441*l**3 + 2307*l**3.
3466*l**3
Collect the terms in 9*d**2 + d**2 - 8*d**2 + 0*d**2.
2*d**2
Collect the terms in 938*x**2 + 0*x**3 - 4*x**3 + 632*x**2 + 2*x**3 - 1570*x**2.
-2*x**3
Collect the terms in 22826*a**2 - 68465*a**2 + 1 + 22823*a**2 - 1 + 22818*a**2.
2*a**2
Collect the terms in 2946*z**3 - 1 + 3 - 2948*z**3.
-2*z**3 + 2
Collect the terms in 5*y**3 - 104*y**2 + 104*y**2 - 8*y**3 + 2*y**3.
-y**3
Collect the terms in 0*k + 12*k - 13*k - 9*k + 19*k.
9*k
Collect the terms in 9 - 31 - 366*r**3 + 22 + 367*r**3.
r**3
Collect the terms in o - o + 29*o**2 - 135*o**2.
-106*o**2
Collect the terms in 68*a + 74*a + 69*a - 215*a.
-4*a
Collect the terms in 3954 - 5*c**2 + 5*c**2 - 8*c**3 - 3954.
-8*c**3
Collect the terms in -4*x + 17*x - 7 - 9 - 12 - 14*x.
-x - 28
Collect the terms in -279*h**2 - 287*h**2 + 852*h**2 - 276*h**2.
10*h**2
Collect the terms i


1 - -1 - 3) a composite number?
False
Let u(f) = -580*f + 14. Let p be u(-5). Suppose 6*w + 37 - 8755 = 0. Let l = p - w. Is l a prime number?
False
Let m(p) = -3*p + 2. Suppose s + 4*s + 22 = 4*t, -5*s - 13 = -t. Let u be m(s). Let j(k) = 15*k + 1. Is j(u) a composite number?
True
Is 9/(99/(-767822))*2/(-4) a prime number?
False
Let u(f) = 988*f - 1 - 2 + 6. Let x = -200 - -202. Is u(x) composite?
False
Suppose -2*q - 8209 = -3*x, 8207 = 3*x - 4*q + 3*q. Is x a prime number?
False
Suppose -5*j + 995767 = -3*x, 82*x = 5*j + 84*x - 995747. Is j prime?
True
Let u(a) = a**2 - 13*a - 11. Let f be u(14). Is (-583)/22*(f - (-338)/(-2)) a composite number?
True
Let t(c) = 57 - 3*c + 47 - 29 + 44. Is t(-25) a composite number?
True
Let a = 51 + -49. Suppose 2 = -a*l + l. Let d(c) = -498*c + 7. Is d(l) prime?
False
Is (23/(-46))/((-1)/10) - -461202 a prime number?
True
Let z(b) = 290*b**3 - 110*b + 703. Is z(6) a prime number?
True
Let j(q) = -348*q + 17. Suppose -2*o + 5 - 1 = 0. Suppose 3*r - 2*g + 31 = 0, o*r = 5*g - 19 - 20. Is j(r) a composite number?
True
Suppose -15*p + 22*p - 14 = 0. Suppose 0 = p*t - 6, 5*t = 5*w - w + 23. Is (-21)/(-14) - 1879/w a prime number?
True
Let t = 379 + -373. Is ((-164)/8)/(-1)*t + 4 a prime number?
True
Let f(d) = 26277*d**2 - 83*d - 161. Is f(-2) composite?
True
Suppose -2 - 31 = -3*f + 3*b, 5*b - 5 = 0. Let v be f/48 + 2/(-8). Suppose v = -11*r - r + 1380. Is r a prime number?
False
Let l = 16546 - 7347. Is l a prime number?
True
Let w = -43 + 94. Let a = 89 - w. Let g = 125 + a. Is g composite?
False
Let i(r) = 256*r - 102*r - 5 - 174*r - 161*r. Is i(-22) prime?
False
Let v(h) = -128*h + 25. Let j = -19 + 25. Let k be v(j). Let q = k - -1532. Is q composite?
True
Suppose 45*j - 52*j = -203. Suppose 0 = 10*i - j*i + 19741. Is i prime?
True
Let s(u) = 622*u + 123. Let p(v) = 624*v + 123. Let h(k) = 3*p(k) - 2*s(k). Is h(23) prime?
False
Let z(s) = 2966*s - 3097. Is z(75) prime?
True
Is 95468*8/32 - 10 a prime number?
True
Suppose -266*i + 81*i + 11761745 = 0. Is i prime?
True
Let r = -25638 - -50329. Is r prime?
True
Let h be (-16392)/(-72) + (-2)/(-6). Suppose 2*a = 410 + h. Is a prime?
False
Let t = -25 + 27. Suppose -2436 = t*n - 12. Is ((-6)/18)/(2/n) a prime number?
False
Suppose -11*h + 350 = 42. Suppose -20 = -4*z + 4*k, 4*z + 2*k - h = -2*k. Is 3 + (886/z)/((-3)/(-45)) prime?
False
Suppose -1 = -4*l + 11. Let v be 4592/24 + 2/l. Suppose 3*s = -5*w + v, -3*w + 0*w = 3*s - 198. Is s a prime number?
False
Let t(m) = -2*m**3 + 18*m**2 + 8*m - 74. Let x be t(9). Is (-2)/x - 13/(130/(-128520)) a prime number?
True
Suppose 0 = 5*f + 3*w - 18119, 3610 = 4*f - 3*f - 4*w. Suppose -f = -3*g + g. Is g composite?
False
Suppose -6251009 = 244*h - 44058336 - 32416117. Is h a prime number?
True
Let s be (-6)/10 - (9546/15 - -4). Let c = s + 4920. Is c composite?
True
Suppose 14*i - 186928 - 126434 = 0. Suppose h + 6*n = 9305, 5*n + i + 14808 = 4*h. Is h composite?
True
Suppose 0 = -5*i + 20, 10*i - 14*i - 172539 = -5*z. Is z a prime number?
True
Suppose 13 = h - 10*z + 7*z, -5*z = h + 11. Is (-45882)/(-66) - (h + 168/(-44)) a prime number?
False
Suppose -8*k + 2663946 = -7*k + 17*k. Is k a prime number?
True
Suppose 340 = -4*x - 3*t, -5*x - 170 = -3*x - t. Let k = x - 123. Let n = -123 - k. Is n composite?
True
Let x be 33 - 28 - -2*1/(-2). Suppose 3*d + x*a - 16177 = 0, 0*d + d - 3*a = 5375. Is d a composite number?
False
Suppose -23*p + 19708839 = 1796232. Is p a composite number?
True
Let z(w) = 2*w + 53. Let o be z(-24). Let v(m) = 326*m + 21. Is v(o) a composite number?
True
Let m = 21302 - 12285. Is m prime?
False
Suppose 89*n - 456260 - 1628387 = 0. Is n a prime number?
False
Let p = 54977 - -160158. Suppose 42*f = 25*f + p. Is f composite?
True
Suppose 14*m = 11*m + 6, 4*m = 4*v - 1164. Let a = 493 + -327. Let p = v - a. Is p a prime number?
True
Let t = -4296 - -8829. Suppose 10*m - 9*m - t = 0. Let a = m + -3092. Is a a prime number?
False
Let g(o) be the first derivative of 7*o**5/60 - 5*o**4/24 - 5*o**3/6 + 17*o**2/2 - 24. Let j(v) be the second derivative of g(v). Is j(-4) a prime number?
True
Let t = -857 - -862. Suppose -5*u + 23600 = 2*l - t*l, l + 14156 = 3*u. Is u prime?
False
Let p be (-20)/(-3)*42/35. Let x(k) = k - 20. Let o be x(p). Is (5031/26)/((-2)/o) + 2 prime?
True
Let k = -9 - -85. Suppose -g + k = g. Suppose g*j - 32*j = 2514. Is j prime?
True
Suppose -3*l + 7676 = -2479. Is l composite?
True
Let k be 619/6 + (12 - 657/54). Let j = k + -65. Is j a prime number?
False
Suppose -3*s + 4*s = 4*h + 3, -15 = -5*s + 5*h. Suppose 4*y - 4*u - 54 = s*y, -2*y = 4*u - 96. Suppose -55*z = -y*z - 2045. Is z composite?
False
Let t = -143036 - -242487. Is t a composite number?
True
Suppose -6*f = -2*f, 2*f = -5*l. Suppose -3*g + 18750 + 17919 = l. Is g a composite number?
True
Suppose 0 = 4*m - 19 - 9. Suppose -3*y = -m*y + 8. Suppose y*r - 875 = 7527. Is r composite?
False
Suppose -3*s + 1096 = -v + 2*v, v = -2*s + 1094. Let g = -707 + v. Is g a prime number?
True
Suppose -22*h = 101 + 163. Is (148492/h)/((-5)/15) a prime number?
True
Let h(o) = -142*o**2 - 3 + 603*o**2 + 0 + 3*o. Is h(2) composite?
False
Let i(z) = 6*z**3 - z**2 - z - 5. Let c be 524/(-36)*-3*-3. Let b = c + 134. Is i(b) a composite number?
True
Let y(z) = 4*z - 1. Let x be y(7). Suppose -2*r + x - 9 = 0. Is (303/r)/(4/36) a composite number?
True
Suppose 0 = -106*f + 101*f + 4030. Let r(a) = 56*a - 3. Let p be r(-9). Let v = p + f. Is v a composite number?
True
Let u = -300 - -279. Let z(s) = -s**3 - 17*s**2 - 36*s - 113. Is z(u) a prime number?
False
Let u(b) = -2*b**3 - 2*b**2 - 19*b - 10. Let p be u(-3). Suppose -c = -26 - p. Is c a prime number?
True
Let s be (-8 + 4)/(-2) + 10. Let v(x) = 324*x - 17. Let l be v(s). Suppose l = 4*m + 3*m. Is m composite?
True
Suppose -2 = -14*w + 12. Let j(s) = 17266*s**2 + 6*s - 6. Let o be j(w). Is 24/132 - 1/((-22)/o) prime?
False
Let l(b) = 2*b**2 - 25*b - 44. Let k be l(14). Is (-1)/(k/(-11) + 2372/(-12804)) a composite number?
True
Is ((-534861)/(-27) - 2/3) + -8 a composite number?
False
Let z(s) = s**3 + 6*s**2 - 7*s. Let m be z(-6). Suppose -m = -w + 469. Is w prime?
False
Let y = -124 - -180. Let n = 1257 - y. Is n a prime number?
True
Suppose -k - 4*d = -687221, 0 = -d + 9. Is k a prime number?
False
Is 82814/8 - 918/(-102) - (-2)/8 a composite number?
True
Let c(s) = -s**3 - 7*s**2 + 17*s - 1. Let y be c(-9). Let v be 6/(-9) + y/(-24). Is (-1258*5/(-20))/(v/(-2)) composite?
True
Suppose 21*d - 107628 = 17*d + 4*a, -4*d = 5*a - 107592. Is d prime?
True
Suppose 2*z = 4*y + y + 8373, 2*y = -4*z + 16806. Let p = -1908 + z. Is p a composite number?
True
Suppose 0 = -2*m + j + 12 + 7, -18 = -3*m + 5*j. Suppose -22*b + 23837 = -m*b. Is b a prime number?
False
Let b(u) be the first derivative of 1759*u**2/2 - 10*u - 11. Let x be b(2). Let z = x - 2253. Is z a composite number?
True
Let l(w) = 4872*w + 2925. Is l(11) prime?
False
Suppose 0*q = 3*q - 5*b + 508, 0 = 2*q + 4*b + 368. Is 178218/22 + (-32)/q composite?
False
Let r(t) = -6*t + 66. Let a be r(11). Suppose 4*i + 5*b - 1621 = a, -i + 1230 = 2*i - b. Is i a composite number?
False
Let w(q) = -6*q**3 - 5*q**2 - 7. Let n(o) = 13*o**3 + 10*o**2 + o + 14. Let u(a) = 4*a + 30. Let b be u(-8). Let g(z) = b*n(z) - 5*w(z). Is g(4) prime?
False
Let k be 1/(-5) - 126/(-30). Suppose -3*d = 2*h - 8675, 2887 = d + k*h - h. Is d composite?
True
Let f be (-2 + -1 + 1)/(30/(-135)). Let l(w) = f*w - 10 - 3*w + 17*w - 2*w. Is l(5) composite?
True
Let s(h) = h**3 - h**2 - h - 7. Let x be s(3). Let z be (-20)/x*12/10 - -5. Suppose -12 = -4*i - 0, z*y = 3*i + 4097. Is y a composite number?
False
Let b = -29970 + 399791. Is b a composite number?
False
Let m = 230 - 230. Suppose m = 6*l + 10*l - 61216. Is l a prime number?
False
Let l = 29 - 23. Suppose -751 + 2737 = l*v. Is v a prime number?
True
Let v be 12/(-30) - (-2)/5. Let t(z) = -z**3 - 2*z + 127. Is t(v) a composite number?
False
Let z be (4/(-11))/(3 + (-35)/11). Suppose 2*g = 3*g. Suppose -2*w = 2*s - 3294 - 2074, g = z*w - 4*s - 5362. Is w a prime number?
True
Let v(s) = -9*s**2 + 120*s + 59. Let x be v(-28). Let l = 14610 + x. Is l a composite number?
False
Suppose -3*y - 1150 = -4*f, 3*f - 868 = 4