der when 280 is divided by 24?
16
What is the remainder when 1083 is divided by 136?
131
Calculate the remainder when 41 is divided by 15.
11
Calculate the remainder when 850 is divided by 151.
95
What is the remainder when 342 is divided by 17?
2
What is the remainder when 130 is divided by 12?
10
Calculate the remainder when 95 is divided by 33.
29
Calculate the remainder when 602 is divided by 328.
274
What is the remainder when 399 is divided by 31?
27
What is the remainder when 708 is divided by 102?
96
What is the remainder when 28 is divided by 7?
0
What is the remainder when 541 is divided by 16?
13
Calculate the remainder when 986 is divided by 37.
24
What is the remainder when 776 is divided by 26?
22
Calculate the remainder when 104 is divided by 38.
28
Calculate the remainder when 1054 is divided by 380.
294
What is the remainder when 5457 is divided by 91?
88
What is the remainder when 333 is divided by 10?
3
Calculate the remainder when 118 is divided by 60.
58
What is the remainder when 347 is divided by 16?
11
Calculate the remainder when 451 is divided by 76.
71
Calculate the remainder when 7711 is divided by 241.
240
What is the remainder when 155 is divided by 26?
25
What is the remainder when 182 is divided by 17?
12
Calculate the remainder when 586 is divided by 21.
19
What is the remainder when 433 is divided by 40?
33
Calculate the remainder when 218 is divided by 16.
10
Calculate the remainder when 511 is divided by 43.
38
What is the remainder when 437 is divided by 298?
139
Calculate the remainder when 64 is divided by 15.
4
Calculate the remainder when 177 is divided by 83.
11
Calculate the remainder when 1149 is divided by 13.
5
What is the remainder when 465 is divided by 6?
3
Calculate the remainder when 71 is divided by 15.
11
What is the remainder when 4897 is divided by 47?
9
What is the remainder when 903 is divided by 8?
7
Calculate the remainder when 304 is divided by 33.
7
What is the remainder when 262 is divided by 131?
0
Calculate the remainder when 532 is divided by 169.
25
What is the remainder when 48994 is divided by 36?
34
Calculate the remainder when 1687 is divided by 22.
15
Calculate the remainder when 2347 is divided by 81.
79
Calculate the remainder when 339 is divided by 10.
9
What is the remainder when 435 is divided by 49?
43
What is the remainder when 162 is divided by 130?
32
Calculate the remainder when 2518 is divided by 50.
18
Calculate the remainder when 7048 is divided by 47.
45
Calculate the remainder when 6308 is divided by 5.
3
Calculate the remainder when 8629 is divided by 166.
163
Calculate the remainder when 1967 is divided by 21.
14
Calculate the remainder when 97 is divided by 9.
7
What is the remainder when 1997 is divided by 61?
45
What is the remainder when 34812 is divided by 5?
2
Calculate the remainder when 2871 is divided by 221.
219
Calculate the remainder when 6 is divided by 1.
0
Calculate the remainder when 3127 is divided by 18.
13
What is the remainder when 393 is divided by 12?
9
What is the remainder when 411 is divided by 13?
8
What is the remainder when 883 is divided by 118?
57
What is the remainder when 1192 is divided by 40?
32
What is the remainder when 67 is divided by 26?
15
Calculate the remainder when 6340 is divided by 235.
230
Calculate the remainder when 114 is divided by 29.
27
Calculate the remainder when 1352 is divided by 23.
18
Calculate the remainder when 188 is divided by 95.
93
Calculate the remainder when 168 is divided by 3.
0
What is the remainder when 54 is divided by 10?
4
Calculate the remainder when 784 is divided by 22.
14
Calculate the remainder when 4348 is divided by 723.
10
What is the remainder when 1036 is divided by 38?
10
What is the remainder when 132 is divided by 27?
24
Calculate the remainder when 265 is divided by 240.
25
Calculate the remainder when 558 is divided by 33.
30
What is the remainder when 1231 is divided by 44?
43
What is the remainder when 44 is divided by 22?
0
Calculate the remainder when 4838 is divided by 88.
86
Calculate the remainder when 948 is divided by 26.
12
Calculate the remainder when 23 is divided by 21.
2
Calculate the remainder when 203 is divided by 183.
20
Calculate the remainder when 243 is divided by 53.
31
Calculate the remainder when 112 is divided by 39.
34
Calculate the remainder when 1798 is divided by 32.
6
What is the remainder when 376 is divided by 42?
40
What is the remainder when 64 is divided by 37?
27
Calculate the remainder when 157 is divided by 152.
5
What is the remainder when 611 is divided by 81?
44
What is the remainder when 386 is divided by 120?
26
Calculate the remainder when 52 is divided by 9.
7
Calculate the remainder when 22014 is divided by 128.
126
Calculate the remainder when 388 is divided by 57.
46
What is the remainder when 114 is divided by 13?
10
What is the remainder when 3700 is divided by 1227?
19
Calculate the remainder when 323 is divided by 79.
7
Calculate the remainder when 28 is divided by 12.
4
What is the remainder when 206 is divided by 46?
22
What is the remainder when 47 is divided by 37?
10
Calculate the remainder when 266 is divided by 67.
65
Calculate the remainder when 205 is divided by 1.
0
What is the remainder when 108 is divided by 92?
16
Calculate the remainder when 310 is divided by 97.
19
Calculate the remainder when 361 is divided by 73.
69
Calculate the remainder when 2609 is divided by 652.
1
What is the remainder when 243 is divided by 171?
72
What is the remainder when 1207 is divided by 194?
43
What is the remainder when 16439 is divided by 41?
39
What is the remainder when 10803 is divided by 16?
3
What is the remainder when 1019 is divided by 18?
11
What is the remainder when 174 is divided by 12?
6
What is the remainder when 57 is divided by 31?
26
What is the remainder when 238 is divided by 24?
22
Calculate the remainder when 4157 is divided by 1377.
26
Calculate the remainder when 159 is divided by 56.
47
What is the remainder when 122 is divided by 25?
22
What is the remainder when 284 is divided by 21?
11
Calculate the remainder when 242 is divided by 9.
8
Calculate the remainder when 41 is divided by 5.
1
Calculate the remainder when 428 is divided by 27.
23
Calculate the remainder when 1027 is divided by 43.
38
Calculate the remainder when 1404 is divided by 38.
36
What is the remainder when 692 is divided by 234?
224
Calculate the remainder when 4492 is divided by 5.
2
Calculate the remainder when 431 is divided by 208.
15
What is the remainder when 493 is divided by 38?
37
What is the remainder when 716 is divided by 32?
12
What is the remainder when 178 is divided by 50?
28
Calculate the remainder when 652 is divided by 109.
107
What is the remainder when 231 is divided by 98?
35
What is the remainder when 937 is divided by 3?
1
What is the remainder when 1676 is divided by 23?
20
What is the remainder when 123 is divided by 40?
3
What is the remainder when 339 is divided by 102?
33
What is the remainder when 138 is divided by 51?
36
What is the remainder when 14956 is divided by 88?
84
Calculate the remainder when 354 is divided by 18.
12
Calculate the remainder when 5428 is divided by 15.
13
Calculate the remainder when 179 is divided by 9.
8
What is the remainder when 126 is divided by 23?
11
Calculate the remainder when 534 is divided by 102.
24
Calculate the remainder when 140 is divided by 60.
20
Calculate the remainder when 143 is divided by 44.
11
What is the remainder when 673 is divided by 176?
145
Calculate the remainder when 663 is divided by 95.
93
What is the remainder when 723 is divided by 25?
23
Calculate the remainder when 2068 is divided by 2052.
16
Calculate the remainder when 296 is divided by 11.
10
What is the remainder when 781 is divided by 6?
1
What is the remainder when 24645 is divided by 493?
488
Calculate the remainder when 69 is divided by 5.
4
Calculate the remainder when 27 is divided by 17.
10
Calculate the remainder when 8563 is divided by 102.
97
Calculate the remainder when 111 is divided by 28.
27
What is the remainder when 229 is divided by 86?
57
Calculate the remainder when 4528 is divided by 30.
28
What is the remainder when 1012 is divided by 334?
10
What is the


n -3/5, 1, 0.2, n?
-3/5
Let n be (-1)/(-20)*4*0. Which is the nearest to n?  (a) -0.05  (b) -0.3  (c) 1  (d) -7
a
Let u = 2.01 - 0.01. Let c = 0.5 - 0.5. Let i = -3.15818 + 0.15818. What is the closest to u in -0.2, c, i?
c
Let t = 1.38 + -1.58. Let i be (-43)/21 - 14/49. Let r = i + 3. Which is the closest to 0?  (a) -3/4  (b) t  (c) r
b
Let q = 0.03635 + -2.03635. Let j be 2/6 - (-30)/(-36). What is the nearest to -0.1 in -9, q, j, 2/9?
2/9
Let d = 6967 + -6968. What is the closest to -2 in d, 2, 0.3, 97?
d
Let u = 12840 + -12756. What is the nearest to -1 in 0, -6, u?
0
Let h(k) = k + 6. Let x be h(-4). Suppose -118 = -x*b - 48. Suppose -b + 19 = -4*j. What is the closest to 2 in -3, j, -0.5?
j
Let m = -21724/9 + 2410. Which is the nearest to 1?  (a) -0.1  (b) 2  (c) m  (d) 1/3
d
Let r = -53.5 + 51.17. Let o = r + 2.83. Which is the nearest to 0?  (a) -2/15  (b) o  (c) -6
a
Let o = -673.4 - -673. Let d = 142 - 140. Which is the nearest to 1?  (a) -0.53  (b) o  (c) d
c
Let b = 10.646 + -10.146. What is the nearest to -0.3 in -53, 0.4, b, 1?
0.4
Let p = -278 - -1392/5. Which is the closest to p?  (a) 2/15  (b) 35  (c) 4
a
Let l(x) = -878*x + 12273. Let w be l(14). Let c be (6/4)/(9/(-12)). What is the closest to w in -3, 0, c?
-3
Let w = 8410 - 25231/3. Let c = -0.09 - -4.09. What is the closest to 1 in -1, c, w?
w
Let u = -0.11437 + 0.11437. Which is the nearest to u?  (a) 3  (b) -4/3  (c) -1  (d) -2/79
d
Let r = -1/23 + -19/92. Let t = 37.9 - 33. Let h = -5 + t. What is the closest to h in 0.2, r, 2/5?
r
Let k = -9.274 - -5.027. Let f = 0.247 + k. Which is the closest to 1/2?  (a) 0.3  (b) -1/3  (c) f
a
Let m = 85 - 87. Suppose 3*g - 8 = -2. Let k = 4801.4 - 4801. Which is the nearest to g?  (a) m  (b) k  (c) -3
b
Let q = 277/174 + -22/29. Let l be (5/2)/((-16)/32). Let v = -15 + 11. What is the closest to 0.2 in l, v, q?
q
Let n = -1740530 - -8538469/5. Let q = -32732 - n. Let t = q - 105. Which is the nearest to -1?  (a) 12  (b) -1/7  (c) t
c
Let g = 2.06 - 0.06. Let s = 1559/2 + -7799/10. Which is the closest to s?  (a) 5  (b) -5.2  (c) g
c
Let b = 4.013 - 0.013. Let d = -75/7 - -389/35. What is the nearest to 0 in d, b, -2, -5/4?
d
Let c = 21 - 22. Suppose a = -4*i - 15, -5*i + 2*a = -a + 23. What is the nearest to i in -1/4, 2/3, c?
c
Let r(u) = -u**2 - 78*u + 986. Let n be r(11). Which is the nearest to -1/2?  (a) 0.3  (b) 2/11  (c) -0.34  (d) n
c
Let m = -0.4 + 0.3. Let n be (0 - 40/(-1970))/(2 - 0). Let o = n - 209/1182. What is the nearest to m in o, 0.2, 3/2?
o
Let k = 26.45 + -3.65. Let s = k + -23.3. Suppose 3*v - 11 = 4. Which is the nearest to s?  (a) -0.5  (b) 0.2  (c) v
a
Suppose 8*u - 493 = 275. Let q = 261224 - 4961430/19. Let n = u - q. What is the closest to 2 in 2/3, -1, n?
2/3
Let f = -660.73 + 671. Let i = f - 10. Let o = i + 0.13. Which is the closest to -0.1?  (a) 0.1  (b) 0  (c) o
b
Let f = -709 - -708. What is the closest to f in 2/15, 2/13, 93?
2/15
Let z = -480.8633 - -0.8633. Which is the closest to 0?  (a) z  (b) -2/21  (c) -3
b
Let z = -1.3 - -3.3. Let f = 19 - 14. Suppose j + 839 - 838 = 0. Which is the closest to j?  (a) -1/13  (b) z  (c) f
a
Let u be (-15620)/(-44) - (0 + 4*1). Let f be 132/u - (-18)/(-117). Which is the nearest to 1/3?  (a) 0  (b) 0.4  (c) f  (d) -1/9
b
Let b = -3470.3 - -3470. What is the closest to 14 in b, -9/4, -0.1?
-0.1
Let q = 91.37 + -93. Let l = -0.51 - q. Let m = 0.12 - l. Which is the nearest to -2?  (a) 0.2  (b) m  (c) 1
b
Let d = 12.3 - 12. Let h be (-2 + 55/10)*(-220)/(-5005). What is the closest to 2/3 in h, d, 110?
d
Let i(j) = -11*j + 3. Let s be i(2). Let c = -22 - s. Let z be 8/c*((-28)/8 - -2). What is the nearest to 3 in 3, -2, z?
3
Let z = 20 + -15. Let h = -1297/6 - -1295/6. What is the closest to h in -5, z, 4?
4
Suppose 64*r - 295 = -295. Let f = 4.7 - 0.7. What is the closest to -0.1 in f, 0.3, r, 2?
r
Let a = 1.3 - 0.3. Let i = a + -1. Let o = 4/6001 + -12014/18003. What is the nearest to i in o, -4, 0.1?
0.1
Let o = 3144 + -3147. What is the nearest to -8/11 in 2/23, -1/4, -1/3, o?
-1/3
Let r = -220208 + 220228.9826. Let s = r - -0.0174. Which is the closest to -4/5?  (a) 2  (b) s  (c) 0.3
c
Let d = 133/3 - 44. Let o be (-45)/(-231) + 14/154. Which is the nearest to o?  (a) 1/47  (b) d  (c) -1
b
Let q = -3732.2 - -3733.2. Let u = -1 + 2. Let z = u + 0. Which is the closest to q?  (a) 5  (b) 0.8  (c) z
c
Let l = -2335.7 + 2335.8. Let m = -0.88 + -0.12. Which is the nearest to l?  (a) m  (b) 10  (c) 0.03  (d) -0.3
c
Suppose 3*c - 65 = -10*c. Suppose 9 = -c*h + 9. Let f be 4/(-26) + -1 + 121/(-143). What is the closest to h in 1, f, -0.25?
-0.25
Let h be (6/(-10))/((40/25)/(-8)). Suppose 0 = -h*c - 3*b + 4*b + 17, -3*c + 5*b = -25. Let i be -4*(-1 - 5/(-6)). What is the nearest to -0.3 in -0.4, i, c?
-0.4
Suppose -55*k + 41*k = -160 + 90. Let l = 4 + -6. Which is the closest to l?  (a) -7/4  (b) k  (c) -0.3
a
Let y = -14.32 - -1.32. Let p = y - -12.5. Let j = -454 - -8628/19. Which is the nearest to 14?  (a) p  (b) 3/5  (c) j
b
Let u be ((-6)/(-1) - 2)*1. Suppose u*p - 6 = p. Suppose 0 = -i - 4*x + 4, 3*x + 14 = 17. Which is the closest to p?  (a) 0.1  (b) 1/4  (c) i
b
Let w = -13.82 - -10.82. Which is the closest to -1.9?  (a) 1/6  (b) -1/2  (c) w  (d) -0.2
c
Let y = -0.19194 + 0.09194. Which is the closest to y?  (a) 1/3  (b) 0.67  (c) 2
a
Let m = -287 - -287.83. Let f = -0.03 + m. Which is the closest to f?  (a) -1  (b) -5/4  (c) 5
a
Let k = -2.96 - 0.04. Suppose -4*d - 3*x = -6*d - 1, 4*d - 3*x = 7. Suppose d = 92*w - 96*w. What is the nearest to w in -1/5, -1, k?
-1
Let o be 228/(-720) + 4/10. Let z = 5/84 + o. What is the closest to -2 in z, 0.5, -2/5?
-2/5
Let l(p) = 12*p + 24. Let k be l(-2). Let m = k - 1. Let r = -8 - -7.9. Which is the nearest to r?  (a) m  (b) -0.5  (c) 3
b
Let v = 22090.6 - 22097. What is the nearest to -1/3 in 0, v, 1.8?
0
Let h be 12/16*(368/56 + -6). Which is the nearest to -3?  (a) -2/19  (b) h  (c) 183
a
Let x = 0.2 - 0.1. Suppose -4*f - 302 = -290. Let k = 0.067 + 0.033. Which is the closest to k?  (a) -0.1  (b) f  (c) x
c
Let d = 0.6992 + -11.6992. What is the closest to 2 in d, -2, -7, -4?
-2
Let n = 63451.11 + -63826. Let q = n + 375. Which is the closest to -2/5?  (a) 0.2  (b) 5  (c) q
c
Let j = -118 - -134. Let g = 13 + -30. Let y = j + g. What is the closest to y in -0.3, 1, 0.5?
-0.3
Let a = -16784 + 16783.5. What is the closest to 8 in 11/18, 5, -1, a?
5
Let r = 2.9 - 18. Let m = 15.2 + r. Let k = 8.98 - 9. Which is the closest to -1?  (a) m  (b) k  (c) 1/3
b
Let x = -0.05517 + 1.05517. Let d = 22.3 + -22. Which is the nearest to x?  (a) 4  (b) -5  (c) d
c
Let i = 4949 - 54442/11. Which is the closest to -0.06?  (a) i  (b) 2/11  (c) 1  (d) 4
a
Let r = 25 - 36. Let u be r/44 + (-3)/(-44). Let v = -2426/99 + 272/11. Which is the closest to 5?  (a) v  (b) u  (c) 1
c
Let v = 2188 - 2120. Let b = -103 - -38. Let d = v + b. What is the nearest to 2 in d, 4, -5/3?
d
Let p = -577 + 1155/2. What is the nearest to p in -2/13, -66, 2/3?
2/3
Let w = 0.6032 - 267.5032. Let l = 255 + w. Let t = l + 12. Which is the nearest to 2/3?  (a) 0.3  (b) -1/7  (c) t
a
Let g = -1155 - -1159.192. Let d = -0.192 + g. Which is the closest to 2/7?  (a) 2/29  (b) 3/5  (c) d
a
Let u = -135 - -135.021. Let x = u - 3.021. Let i = -2 - -1. What is the nearest to i in -2/3, x, 0.2?
-2/3
Let d = -527 + 408. Let n = -118 - d. Which is the nearest to -0.01?  (a) -5  (b) 0.6  (c) n
b
Let i be (-795)/1484 - 3/((-21)/2). Which is the nearest to i?  (a) -3  (b) -0.09  (c) 27
b
Let s = -2698 + 2697.99. Let w = 14.4 + -2.4. Let m = -16 + w. Which is the nearest to s?  (a) m  (b) 0.3  (c) -0.5
b
Suppose 0 = 2*d - j + 16, 214*d + 4 = 211*d - j. What is the nearest to d in -2, 0.1, -0.35?
-2
Let o = 756.11 - 760. Let u = o + -0.11. Let t = -9494 - -47467/5. What is the nearest to 1 in -2, t, u?
t
Let q = 287.389 + -287. Let l = 0.011 + q. Let o = 25/2 + -14. What is the nearest to -0.1 in o, l, -3?
l
Let h(g) = -60*g - 841. Let f be h(-14). Let d(n) = n**2 + 7*n + 2. Let x be d(-5). Let y be 2/2 + x/1. What is the nearest to f in 0.4, y, 3?
0.4
Let d = -3780 + 3765. Which is the nearest to -19?  (a) 0.3  (b) d  (c) 2/9
b
Let b = 2222 - 2222. Let w(a) = a**2 + a


8) a multiple of 33?
False
Suppose 0*m - 25 = -5*m. Suppose 0 = -5*y + y + m*g - 4, 8 = -2*y + 4*g. Suppose y*f = 2*b + 118, 0*f = 3*f - 5*b - 92. Does 10 divide f?
False
Suppose -5*m + 11 = h, -h + 6*h = 4*m - 3. Let b = 4 + h. Suppose -128 = -b*t + t. Is t a multiple of 12?
False
Let r(w) = w - 15. Suppose 20 = h - 3*c, 4*c = -5*h - 0*c + 24. Let l be r(h). Let u(t) = t**3 + 9*t**2 + 10*t. Does 16 divide u(l)?
False
Let s(a) = a - 1. Let y be s(3). Suppose 4*f - 7 = -z, 5*f - 7 = y*z - 3*z. Let i(m) = -m**2 + 8*m + 5. Does 6 divide i(z)?
True
Suppose 0*b = 3*b + 30. Let k = 14 + b. Suppose 0 = i + k*i - 80. Is 16 a factor of i?
True
Suppose -5*c = -7*c - 84. Is c/2*100/(-30) a multiple of 12?
False
Let b be 2/7 + (-78)/(-21). Let w = 9 - b. Does 3 divide w?
False
Let p(i) = i**2 - 5*i + 10. Let k(w) = -w + 9. Let o be k(0). Does 22 divide p(o)?
False
Let l(u) = -u + 3. Let n(r) = 3*r - 8. Let c(m) = 8*l(m) + 3*n(m). Is c(5) a multiple of 5?
True
Suppose -2*i + x = -0*x - 130, i = -4*x + 74. Is 11 a factor of i?
True
Suppose a = 2, u + 4*a - 1 = 16. Is u a multiple of 9?
True
Let q(z) = -2*z + 4. Let s be q(3). Let g be (-2 - s/3)*3. Is (-2 - 3/2)*g a multiple of 7?
True
Suppose 5*a + 8 = 2*q, 2*a - 4*q + 16 = 4*a. Suppose 4*m = -2*c + 4, a = 3*c + m - 3*m - 14. Suppose 3*f = 5*t - 130, -c*t + 70 = 3*f - 61. Does 14 divide t?
False
Let p = 5 + -1. Suppose -5*q = 3*y - 1 - 8, -y + 3 = p*q. Is y a multiple of 2?
False
Suppose -3*d - 12 = -3*g, 9 = 2*g - 3*d - 0*d. Is 2 a factor of g?
False
Let r(t) = -t**3 - 3*t**2 + t - 1. Let k be r(-3). Let i(w) = w - 1. Let f(l) = 3*l**2 + 9*l + 1. Let q(s) = f(s) - 5*i(s). Does 16 divide q(k)?
False
Let t = 112 - 50. Let k = 22 + t. Is k a multiple of 28?
True
Suppose 4*v - 51 - 29 = 0. Does 20 divide v?
True
Does 10 divide ((-24)/(-5))/((-6)/(-75))?
True
Suppose 0 = -9*m + 8*m + 28. Is 14 a factor of m?
True
Let r = 28 + -25. Suppose r*p - 61 = 65. Is 14 a factor of p?
True
Suppose -5*p - 4*c = -210, -4*c + 5*c - 126 = -3*p. Is p a multiple of 16?
False
Let f be (2/6)/((-1)/(-9)). Let r be (-3)/(3/84*f). Let p = r + 58. Is p a multiple of 15?
True
Let n(j) = -j**3 + j**2 + 3*j - 1. Let i be n(-3). Let r be i/22 - (-2)/(-11). Suppose t - 23 = r. Is t a multiple of 12?
True
Suppose -6*s - 18 = -8*s. Is s even?
False
Suppose t = -3*t. Let y be (-3 + t + 3)/1. Suppose y = -5*c + 55 + 50. Is 10 a factor of c?
False
Let k(m) be the second derivative of -3*m**3/2 - 5*m**2/2 + 5*m. Does 9 divide k(-5)?
False
Let g(z) = 4*z - 6. Let h = -16 + 23. Is 7 a factor of g(h)?
False
Let g(h) = -h**3 + 2*h**2 - 1. Let b be g(-1). Suppose -j = 2, -5*j = -b*v + 43 + 71. Does 13 divide (v/6)/((-4)/(-6))?
True
Let m = 221 - 120. Does 12 divide m?
False
Suppose y - 4 = -3*y. Let b be -1 + (y - -1 - -21). Let h = b + -15. Does 4 divide h?
False
Suppose 2 = q + 1. Let o = q - -15. Does 16 divide o?
True
Is 6 - (6/(-8) + (-4)/16) a multiple of 6?
False
Suppose 2*o = -o - 3*l + 42, -20 = -5*o + 5*l. Is o a multiple of 4?
False
Let l = 1 - 3. Let a = 1 + l. Is (1/2)/(a/(-44)) a multiple of 11?
True
Let v = 47 + -30. Let q = v + 4. Is q a multiple of 7?
True
Suppose x - 5*h - 248 = 5*x, 3*x + h = -197. Let r(t) = t**2 + t - 101. Let z be r(0). Let p = x - z. Is p a multiple of 17?
True
Suppose -2*u + 5*u - 9 = 0. Let l(k) = -2*k**3 + k**2 + k + 1. Let z be l(-1). Suppose 0*o - u*y = o - 32, -o = -z*y - 26. Is o a multiple of 10?
False
Suppose -3*z + 62 = -0*z - 4*s, 69 = 3*z + 3*s. Does 22 divide z?
True
Let j = 9 + -10. Suppose 4*q - i - 72 = 0, 3*q + q = -4*i + 72. Is q/(-4)*(j - 1) a multiple of 9?
True
Let p(d) be the first derivative of -d**4/4 + 5*d**3/3 + 2*d**2 + 4*d - 1. Let q be p(6). Let y = 13 - q. Is 21 a factor of y?
True
Suppose 0 = 5*u - 1009 + 89. Is u a multiple of 46?
True
Let i(d) = 10*d**2 + d. Let t be i(1). Suppose 42 = 12*g - t*g. Does 14 divide g?
True
Let f(u) = 16*u - 9. Let k = -10 + 14. Does 13 divide f(k)?
False
Let o = 136 - 94. Is 15 a factor of o?
False
Let y = -51 - -122. Is y a multiple of 15?
False
Let b be ((-40)/(-4))/((-1)/(-2)). Suppose -31 = -3*l + b. Is l a multiple of 10?
False
Let g = 83 - 74. Is 3 a factor of g?
True
Let d = 7 + 3. Is 16 a factor of 0 - 5/(d/(-96))?
True
Let x = 17 - 7. Is 16 a factor of (4/x)/(5/200)?
True
Suppose 0 = 114*o - 119*o + 75. Is o a multiple of 8?
False
Suppose 3*h - v = -0*h + 56, 0 = h + 5*v + 8. Let k = h + -10. Does 7 divide k?
True
Does 11 divide 8 + -2*9/(-6)?
True
Suppose -260 = -3*x + w - 3*w, 5*w = -x + 104. Does 19 divide x?
False
Let w = -49 - -103. Is 12 a factor of w?
False
Let f(d) = 3*d + 10. Is 16 a factor of f(11)?
False
Suppose 3*s = s + 86. Does 21 divide s?
False
Let j(r) be the second derivative of r**4/12 - r**3/2 - r. Let p be j(-5). Suppose -2*i - p = -3*m, 6 = 4*i - 10. Does 16 divide m?
True
Suppose 3*v - 3 = 12. Let i(f) = f**2 + 2*f + 6. Is 19 a factor of i(v)?
False
Suppose -2*i + 8 = -4*h, -3*h + 7 = 8*i - 3*i. Let x = 5 + -5. Suppose x*y + i = y. Is y a multiple of 2?
True
Suppose 3*k - 2540 = -3*j + 2*k, 3*k + 2556 = 3*j. Suppose 0 = 3*o + o + j. Is 5 a factor of o/(-16) - (-1)/(-4)?
False
Let a = 13 + -8. Suppose -t + 3*b = 2, 4*t = -a*b + 76 - 16. Is 10 a factor of t?
True
Let n = -43 + 19. Let y = -4 - n. Is 10 a factor of y?
True
Let d be (-40)/4 - 1 - 1. Does 22 divide ((-4)/(-5))/(d/(-330))?
True
Suppose -2*c = -5*y + 256, -6*c + 2*c + 138 = 3*y. Does 20 divide y?
False
Suppose 2*o - 2 = -4*h - 0, o + 5*h = -11. Suppose 2*i + 3*b + 0*b = -o, 2*b + 25 = 5*i. Does 2 divide i?
False
Let x(f) = f - 6. Let j be x(8). Suppose 3*w + l = -l + 13, -j*w + 3*l + 13 = 0. Suppose 53 + 142 = w*p. Does 20 divide p?
False
Does 22 divide 2/(5*5/1650)?
True
Let t(b) = -b**3 + 3*b**2 - 2*b + 23. Is 6 a factor of t(0)?
False
Does 10 divide 1991/66 + (-2)/12?
True
Suppose -13 = 4*s - 205. Is s a multiple of 24?
True
Is 13 a factor of (64/(-20))/((-8)/100)?
False
Let q = -6 - -13. Suppose q*o = 3*o + 192. Is 12 a factor of o?
True
Let q = -3 - -4. Let p be q/5 - (-41)/(-5). Is (18/p)/(1/(-12)) a multiple of 11?
False
Let y(j) = -2*j. Let d(z) = -z - 1. Let q(b) = d(b) + y(b). Let p be q(4). Let w = -4 - p. Does 9 divide w?
True
Suppose 750 = 6*p + 174. Is p a multiple of 16?
True
Let n(q) = -3*q - 8. Let k be n(8). Let t be 25*-1 + 0 + 2. Let w = t - k. Does 9 divide w?
True
Let n = 10 + -5. Let z = n + 22. Does 27 divide z?
True
Let g(f) = -3 - f - 3*f**2 + f**2 + 7*f**2 - 3*f**2. Is 6 a factor of g(3)?
True
Suppose 3*q - 3*v = 54, 2*q + 90 = 7*q - 4*v. Let w = 31 - q. Does 13 divide w?
True
Let z(x) = -3*x + 12. Let c be z(5). Is ((-64)/6)/(2/c) a multiple of 8?
True
Let t = 61 - -20. Let i = t + -57. Does 12 divide i?
True
Suppose -3*a + 2 = -16. Is 4 a factor of a?
False
Let g be (-9)/2*(-4)/(-3). Let d be 5 - (5 + (-2)/1). Is 18 a factor of 6*g*(-1)/d?
True
Suppose o = -6 - 2. Let r = o - -4. Is 1/2 - 86/r a multiple of 11?
True
Suppose -b + 4 = -2*b. Let m = b - -27. Is m a multiple of 21?
False
Let u(q) = 6*q**2 + 4*q + 3. Is u(-6) a multiple of 21?
False
Suppose -k - 2*c + 4*c = -21, -k = -c - 23. Let r = 39 - k. Is 6 a factor of r?
False
Let h(z) = z**2 + 9*z - 5. Let w be h(-10). Suppose 0 = w*p - 3*p - 10. Does 2 divide p?
False
Let k be (16/(-12))/(2/(-6)). Suppose -2*a = -k*v + 20, 5*v + 3*a + 2*a = 10. Is v a multiple of 3?
False
Let o(k) be the third derivative of -k**4/12 - 2*k**3/3 - 3*k**2. Let v be o(-4). Suppose -v*x + 12 = -100. Is x a multiple of 13?
False
Let z = -78 - -143. Does 6 divide z?
False
Suppose -6*s + x - 36 = -4*s, -3*s - x = 64. Let q = 40 + s. Does 10 divide q?
True
Suppose -2*g - 3 = -11. Suppose -g*b = -0*b - 40. Let p = -4 + b. Does 3 divide p?
True
Let z = 22 - -17. Does 18 divide z?
False
Let g = -88 + 148. Does 12 divide g?
True
Suppose 2*x - 6*x = -28. Does 2 divide x?
False
Suppose 2*l = -s - 4*s + 24, 4*s = 2*l + 12. Suppose 0*o + 4*d = -s*o + 248, 0 = -2*o - 3*d + 123. Let f = o + -22. Is f a multiple of 14?
False
Let d(a) = -31*a + 1. Let v be d(-5). Suppose -3*h + v = 3*h. Is 13 a factor of h?
True
Let u(z) = z**3 + 0 - z - 2*z - 12*z**2 + 4*z + 2. Is u(12) a multiple of 13?
False
Suppose 2*a + 0 + 8 = 0. Does 11 divide (a - -1)*(-55)/3?
True
Suppose -2*t + 16 = -62. Suppose a - 6*a = -w + 5


ulate s.
-1, 0
Let a(l) be the second derivative of 0*l**3 - 1/63*l**7 - 2/5*l**5 + 4/9*l**4 - 7*l + 0*l**2 + 2/15*l**6 + 3. Factor a(k).
-2*k**2*(k - 2)**3/3
Let w(i) = -11*i**2 - 12*i + 6. Let l = -370 + 357. Let r(t) = -23*t**2 - 26*t + 13. Let c(p) = l*w(p) + 6*r(p). What is f in c(f) = 0?
0
Let h(c) be the second derivative of -c**4/60 + 4*c**3/15 - 6*c**2/5 + 401*c - 2. Factor h(w).
-(w - 6)*(w - 2)/5
Let k(i) = i**2 + 36*i + 97. Let x be k(-33). Let h be x/2 - -2*48/32. Solve -1/2*n**h - 9/2 + 3*n = 0.
3
Let t(b) be the third derivative of 1/60*b**6 - b + 0 + 54*b**2 + 7/60*b**5 - 1/2*b**3 + 1/12*b**4. Factor t(j).
(j + 1)*(j + 3)*(2*j - 1)
Let y be -5 - (4/(-8)*14 + -2) - 4. Let k(m) be the second derivative of -1/108*m**4 + 0*m**2 + 1/27*m**3 - 17*m + y. Determine l, given that k(l) = 0.
0, 2
Suppose -754 = 2*l - 760. Let 5 + 55 - 33*q - q**2 + q**2 + 30*q - l*q**2 = 0. Calculate q.
-5, 4
Let j(g) be the second derivative of -32*g + 0*g**2 + g**6 + 0 + 0*g**4 + 7/4*g**5 + 0*g**3 - 5/42*g**7. Factor j(k).
-5*k**3*(k - 7)*(k + 1)
Let u = -29015 - -261167/9. Let i(l) be the first derivative of -20/9*l**2 - 16/27*l**3 + 42 - 1/18*l**4 - u*l. Find s such that i(s) = 0.
-4, -2
Let u(l) be the first derivative of 3/5*l**5 + 56 - l**3 + 0*l**2 + 0*l - 3/4*l**4 + 1/2*l**6. Factor u(n).
3*n**2*(n - 1)*(n + 1)**2
Let v = -25 - -39. Suppose -2 = 2*q - v. Suppose 9*x - 247 + 247 - q*x**2 - 6*x**2 = 0. Calculate x.
0, 3/4
Let d(t) be the first derivative of -5*t**6/6 - 12*t**5 + 195*t**4/4 + 710*t**3/3 - 510*t**2 - 2520*t - 7838. Solve d(a) = 0.
-14, -2, 3
Let v(g) = -6*g**3 + 2*g**2 + 9*g + 1. Let k(u) be the first derivative of 3*u**4/2 - u**3 - 5*u**2 - u + 75. Let a(n) = -3*k(n) - 4*v(n). Solve a(s) = 0 for s.
-1, -1/6, 1
Let g(m) be the first derivative of 185 - 3/4*m**4 + 0*m**2 - 3*m**3 + 0*m + 9/5*m**5 + 1/2*m**6. Let g(r) = 0. What is r?
-3, -1, 0, 1
Let v(n) be the second derivative of -n**5/40 + 25*n**4/48 - 2*n**3/3 + 7*n**2 - 2*n - 8. Let c(q) be the first derivative of v(q). Factor c(a).
-(a - 8)*(3*a - 1)/2
Let t(o) = -3*o**2 + 98*o - 1. Let r be t(32). Let s be (-14)/r - (-3 + (-1028)/(-396)). Find z, given that s - 2/11*z**3 - 2/11*z**2 + 2/11*z = 0.
-1, 1
Let k = 7 - -2. Let v = 287 + -273. Find r, given that k*r - 6 + v*r**2 - 22*r**2 + 17*r**2 - 6*r**3 = 0.
-1, 1/2, 2
Let s(g) = -9*g**2 + g - 1. Let r(k) = 79*k**2 - 63*k - 175. Let f(q) = -2*r(q) - 18*s(q). Let f(w) = 0. What is w?
-23, -4
Let p be 4008/168 + 18/(-21). Suppose -p = 11*j - 56. Factor 3/5 - 3*a + 21/5*a**2 - 9/5*a**j.
-3*(a - 1)**2*(3*a - 1)/5
Let h(b) = b**3 - 10*b**2 + 2831*b - 22518. Let x be h(8). Factor -22/3*c**x - 2/3*c**3 - 70/3*c - 50/3.
-2*(c + 1)*(c + 5)**2/3
Let a = 32631 - 32628. What is r in 128/3 + 160*r - 42*r**2 + 8/3*r**a = 0?
-1/4, 8
Suppose q = 2*g - 22, -3*g = -q - 118 + 91. Determine l so that -14/9*l**3 - 2/9*l**2 - 8/9 + 10/9*l**4 + 16/9*l - 2/9*l**g = 0.
-1, 1, 2
Suppose t = -4*x + 21, 3*x = -4*t + 23 + 9. Suppose 3*m - r - 6 = x, -m + r + 4 = 0. Factor -4*b**2 - 45*b**2 - 64*b**m - 71 - 47*b**2 + 67 - 36*b.
-4*(b + 1)*(4*b + 1)**2
Let m be ((-24)/10)/(-8 + 2552/330). Let q(y) be the second derivative of 0 + 5/6*y**4 + y**3 + 7*y + 1/10*y**5 - m*y**2. Determine r, given that q(r) = 0.
-3, 1
Let k = 10994 - 10994. Solve 25/2*x**3 + k - 85/2*x**2 + 15*x = 0.
0, 2/5, 3
Suppose 4*b - 52 = -4*m, 22 = 3*m - 2*b - 27. Factor 105*v**2 + 114*v**2 - 224*v**2 + 20 - m*v.
-5*(v - 1)*(v + 4)
Let z(u) be the third derivative of -11/35*u**7 - 17/8*u**4 + 8/5*u**5 + 11/20*u**6 + 0 + 0*u - 79*u**2 - 5*u**3 - 5/112*u**8. What is c in z(c) = 0?
-5, -1, -2/5, 1
Suppose 6/5*i**2 + 1008 + 354/5*i = 0. Calculate i.
-35, -24
Let z(m) be the third derivative of -31*m + 11/6*m**3 + 0 - 3*m**2 - 1/210*m**7 + 1/2*m**5 + 4/3*m**4 + 1/15*m**6. Determine j so that z(j) = 0.
-1, 11
Let k = -1587/940 - -21/20. Let t = k + 706/517. Determine i, given that -2/11*i**4 - 10/11*i**2 - 4/11*i - t*i**3 + 0 = 0.
-2, -1, 0
Let u = 1605280 - 17658076/11. What is x in 2/11*x**3 - u*x + 0 + 2/11*x**2 = 0?
-2, 0, 1
Let p(u) be the first derivative of 4*u**2 + 149*u**3 - 148*u**3 - 2*u**2 - 15*u + 4*u**2 + 48. Determine v, given that p(v) = 0.
-5, 1
Let z(g) = -35*g + 10. Let j be z(2). Let h = 96 + j. Factor -26*d**2 - 14*d**3 - 5*d**2 + 3*d**3 + h*d - d**4 + 7*d**2.
-d*(d - 1)*(d + 6)**2
Let p be (2/4)/(0 + 1/6). Suppose -p*x = -3*z + 39, -10*z + 7*z + 5*x + 49 = 0. Solve 4*n**2 + z*n**2 + 10*n - 2*n**2 - 5*n**2 = 0.
-2, 0
Factor -2006/13*k**2 + 504006/13*k + 2/13*k**3 - 502002/13.
2*(k - 501)**2*(k - 1)/13
Factor -405*h + 5/2*h**2 - 815/2.
5*(h - 163)*(h + 1)/2
Find b, given that 51*b**2 + 61*b**3 + 54*b**3 - 127*b**3 - 636*b**2 - 981*b + 282 = 0.
-47, -2, 1/4
Let j(d) = -d**2 + 9. Let t be j(0). Suppose -7*u - 18 = 47*u - 288. Find f such that -u*f**3 + t*f**2 + 5*f - 4*f**2 + 8*f**4 - 9*f**4 - 4*f**4 = 0.
-1, 0, 1
Let w(y) be the second derivative of -y**8/84 - 2*y**7/105 + y**2/2 + 28*y - 1. Let a(x) be the first derivative of w(x). Find q, given that a(q) = 0.
-1, 0
Let f be (7/(42/4) + 0)/(350/1575). Suppose 89/3*t**2 - 5/3*t**f - 67/3*t - 17/3 = 0. Calculate t.
-1/5, 1, 17
Let h be 204/48 + 5/(-4). Let f be (12/15)/(6/15). Factor u**3 - f*u**4 + 3*u**3 - u**5 + u**4 - h*u**3 + u**2.
-u**2*(u - 1)*(u + 1)**2
Let w be 9 - 17271/(-63) - -9. Let z = w - 289. Solve -24/7 + 2/7*a**2 - z*a = 0 for a.
-1, 12
Let m = -25159/117 + -35/117. Let a = -212 - m. Solve 2/3*x + 0 - x**2 + 8/3*x**5 - a*x**3 + 4*x**4 = 0.
-2, -1/2, 0, 1/2
Suppose 23*z + 121 = -109. Let w(s) = -2*s**3 - 17*s**2 + 29*s - 10. Let m be w(z). Suppose -2/7*o**2 - 24/7*o + m = 0. Calculate o.
-12, 0
Let i(u) be the second derivative of 1/12*u**4 + 0 - 1/84*u**7 + 0*u**3 + 0*u**2 - 1/8*u**5 - 37*u + 1/15*u**6. Factor i(x).
-x**2*(x - 2)*(x - 1)**2/2
Let o(a) be the third derivative of 0*a - 5/3*a**4 + 1/24*a**6 - 2 - 3*a**2 - 7/12*a**5 + 0*a**3. Factor o(w).
5*w*(w - 8)*(w + 1)
Suppose h - g = -0*h + 6, 6 = -4*h - g. Let d(q) be the third derivative of h*q**3 + 0*q + 9*q**2 + 0 - 1/132*q**4 - 1/330*q**5. Factor d(w).
-2*w*(w + 1)/11
Let l(s) = -8*s**2 - 193*s - 1805. Suppose -2*f = p + 3, 4*f - 12 + 36 = 4*p. Let t(b) = 7*b**2 + 192*b + 1805. Let o(r) = f*t(r) - 2*l(r). Factor o(z).
-5*(z + 19)**2
Let d(y) be the second derivative of 1/15*y**5 - 23*y + 0*y**2 + 0*y**4 - 1/180*y**6 + 0 + 0*y**3. Factor d(n).
-n**3*(n - 8)/6
Let k(m) be the first derivative of m**6/180 - m**4/12 + 2*m**3/9 - 3*m**2/2 + 12*m - 122. Let x(l) be the second derivative of k(l). Factor x(p).
2*(p - 1)**2*(p + 2)/3
Let d(v) = -v**3 - 3*v**2 - 13*v - 41. Let x be d(-7). Let o = -244 + x. Factor 1/3*a**o + 2/3 + a.
(a + 1)*(a + 2)/3
Let q be -8 + 2 + (-78)/(-2). Suppose -q*v + 0*v = -4*v. Factor v*r - 1/10*r**3 + 1/2*r**4 + 0 - 1/10*r**2 - 3/10*r**5.
-r**2*(r - 1)**2*(3*r + 1)/10
Let s = -463 - -465. Factor -13*r - 2*r**s + 21*r - 27*r - 5*r - r**2.
-3*r*(r + 8)
Suppose -69/2*j**2 + 13*j**3 - 1/2*j**4 - 2*j + 46 = 0. Calculate j.
-1, 2, 23
Let x(r) be the second derivative of r**5/40 + r**4/24 - 5*r**3/6 + 2*r**2 + 7219*r. Factor x(n).
(n - 2)*(n - 1)*(n + 4)/2
Let h(w) be the first derivative of -7/4*w**4 - 46 + 1/5*w**5 + 0*w + 16/3*w**3 - 6*w**2. Factor h(d).
d*(d - 3)*(d - 2)**2
Factor 8/7*r + 34/7*r**2 + 0 + 36/7*r**3.
2*r*(2*r + 1)*(9*r + 4)/7
Let f(c) be the first derivative of -c**5/110 - 19*c**4/12 - 46*c**3/11 - 257*c**2/2 + c + 24. Let v(a) be the second derivative of f(a). What is p in v(p) = 0?
-69, -2/3
Let b = 84 - 80. Factor -b*y**2 + 4*y**4 + 0*y**3 - 7*y**3 - 4*y + 10*y**3 + y**3.
4*y*(y - 1)*(y + 1)**2
Let o(f) be the first derivative of f**6/3 - 82*f**5/5 - 237*f**4/2 + 634*f**3/3 + 236*f**2 - 552*f - 723. Determine v, given that o(v) = 0.
-6, -1, 1, 46
Let y(q) be the second derivative of -q**5/4 - 375*q**4/4 - 20905*q**3/2 + 63845*q**2/2 - q - 1466. Suppose y(i) = 0. What is i?
-113, 1
Let i(b) be the first derivative of 1/16*b**4 - 1/4*b**3 + 0*b + 21 + 1/24*b**6 + 3/20*b**5 - 1/4*b**2. Factor i(n).
n*(n - 1)*(n + 1)**2*(n + 2)/4
Let n(k) be the second derivative of 5*k**4/12 - 175*k**3/6 + 165*k**2 - 70*k. Factor n(v).
5*(v - 33)*(v - 2)
Suppose -6*y = -20 - 4. Let a be 10 + 41/(-8) + (-1)/(-8). Suppose 2*v**y - 2*v**a


uc?
5/26
What is prob of sequence uxux when four letters picked without replacement from xxuuuuxxxu?
5/63
Calculate prob of sequence eiii when four letters picked without replacement from {e: 3, i: 4}.
3/35
Calculate prob of sequence dund when four letters picked without replacement from hrhurhnnnednhrnhh.
0
Two letters picked without replacement from epppppppveppeeipv. What is prob of sequence ev?
1/34
Three letters picked without replacement from {j: 1, h: 1, b: 1, q: 1, w: 1}. What is prob of sequence bjq?
1/60
Two letters picked without replacement from {p: 2, c: 1, i: 1, a: 5}. Give prob of sequence ia.
5/72
Three letters picked without replacement from qjjjqj. What is prob of sequence qjq?
1/15
Calculate prob of sequence cccc when four letters picked without replacement from bbcccccbbccbbbbcbcb.
21/646
Two letters picked without replacement from igwwbpz. Give prob of sequence pi.
1/42
What is prob of sequence ykk when three letters picked without replacement from kyyykkyyyjkjkyy?
16/273
Four letters picked without replacement from {h: 4, a: 8, t: 1}. What is prob of sequence tahh?
4/715
Two letters picked without replacement from {s: 5, f: 1, h: 3, r: 2, m: 1, u: 3}. Give prob of sequence fm.
1/210
Four letters picked without replacement from qjqgqig. What is prob of sequence qjgq?
1/70
Three letters picked without replacement from jyy. What is prob of sequence yyj?
1/3
Calculate prob of sequence jnys when four letters picked without replacement from {j: 4, n: 1, m: 1, y: 9, s: 2}.
3/2380
Three letters picked without replacement from {v: 2, h: 9, w: 5, q: 2}. Give prob of sequence qww.
5/612
Three letters picked without replacement from vbonvookvooo. What is prob of sequence nvk?
1/440
Two letters picked without replacement from jhnyycjah. Give prob of sequence nc.
1/72
Calculate prob of sequence hp when two letters picked without replacement from pppmpppkppmhmkm.
4/105
What is prob of sequence os when two letters picked without replacement from scllttocq?
1/72
Calculate prob of sequence tltl when four letters picked without replacement from lltlltlll.
1/36
What is prob of sequence dw when two letters picked without replacement from {d: 2, w: 4, z: 2, a: 3, v: 3, r: 1}?
4/105
What is prob of sequence cao when three letters picked without replacement from {o: 1, c: 4, g: 6, a: 2}?
2/429
Calculate prob of sequence eea when three letters picked without replacement from {d: 5, a: 3, e: 3, s: 1}.
3/220
Calculate prob of sequence dd when two letters picked without replacement from {t: 3, d: 3}.
1/5
What is prob of sequence hdzz when four letters picked without replacement from {z: 2, d: 5, h: 4}?
1/198
Calculate prob of sequence cwwu when four letters picked without replacement from {w: 3, h: 2, u: 3, c: 8}.
3/910
Calculate prob of sequence gg when two letters picked without replacement from {s: 2, g: 4}.
2/5
Calculate prob of sequence iwn when three letters picked without replacement from {w: 9, a: 2, i: 3, k: 1, n: 2}.
9/680
What is prob of sequence gt when two letters picked without replacement from {t: 2, e: 3, g: 3, q: 1, m: 1, d: 1}?
3/55
Calculate prob of sequence crr when three letters picked without replacement from {r: 4, n: 2, c: 5}.
2/33
Calculate prob of sequence zz when two letters picked without replacement from {z: 5, s: 9}.
10/91
Calculate prob of sequence xn when two letters picked without replacement from enex.
1/12
Four letters picked without replacement from qqggggggqggggggqgg. What is prob of sequence gqgg?
91/765
Two letters picked without replacement from {v: 6, c: 2, l: 2, r: 3, o: 5}. What is prob of sequence vo?
5/51
Three letters picked without replacement from {p: 2, y: 1}. Give prob of sequence pyp.
1/3
Three letters picked without replacement from wnnfwoddnwwownwdwwd. What is prob of sequence dfw?
16/2907
Three letters picked without replacement from okokdodkko. What is prob of sequence ooo?
1/30
Two letters picked without replacement from {r: 1, l: 3, a: 1, q: 3, t: 3, o: 8}. Give prob of sequence qq.
1/57
Calculate prob of sequence uyoy when four letters picked without replacement from ooooyuyoooooooy.
11/5460
What is prob of sequence iigi when four letters picked without replacement from iigibvrvmgmmmgmgv?
1/2380
Three letters picked without replacement from {j: 2, u: 10, r: 1, f: 3}. What is prob of sequence urf?
1/112
Four letters picked without replacement from {x: 3, s: 3, z: 10, e: 3}. What is prob of sequence zzzs?
15/646
Three letters picked without replacement from {d: 1, o: 2, l: 2, m: 1, r: 1}. What is prob of sequence orl?
2/105
What is prob of sequence vyey when four letters picked without replacement from {e: 8, v: 3, y: 7}?
7/510
Two letters picked without replacement from tggzzzzgxzg. What is prob of sequence zx?
1/22
Calculate prob of sequence iz when two letters picked without replacement from {z: 7, b: 2, i: 2}.
7/55
Calculate prob of sequence fii when three letters picked without replacement from {i: 5, f: 2}.
4/21
Two letters picked without replacement from viivviiiviiiiv. Give prob of sequence vv.
10/91
Calculate prob of sequence bbb when three letters picked without replacement from hhhhhhbbhbb.
4/165
What is prob of sequence ap when two letters picked without replacement from {y: 4, a: 1, p: 2}?
1/21
Calculate prob of sequence yw when two letters picked without replacement from lqyqwlywww.
4/45
Calculate prob of sequence dddd when four letters picked without replacement from ddddd.
1
Two letters picked without replacement from {h: 9, k: 7, j: 3}. Give prob of sequence hj.
3/38
What is prob of sequence zodg when four letters picked without replacement from {g: 1, d: 1, i: 1, o: 1, z: 1}?
1/120
Calculate prob of sequence immi when four letters picked without replacement from miio.
0
Calculate prob of sequence jq when two letters picked without replacement from qajqp.
1/10
Three letters picked without replacement from ppppppppwpoppp. What is prob of sequence wpo?
1/182
Two letters picked without replacement from xmeqxm. Give prob of sequence ex.
1/15
Calculate prob of sequence no when two letters picked without replacement from {o: 1, a: 1, k: 1, t: 3, n: 1}.
1/42
Calculate prob of sequence cevc when four letters picked without replacement from vcveecveecevvvceev.
49/6120
Two letters picked without replacement from {q: 4, r: 1, o: 1, d: 5}. What is prob of sequence rd?
1/22
What is prob of sequence pqp when three letters picked without replacement from qhqqpppsqpq?
2/33
What is prob of sequence atxt when four letters picked without replacement from tetcxea?
1/420
Calculate prob of sequence rr when two letters picked without replacement from {s: 1, r: 2}.
1/3
Three letters picked without replacement from bvbr. What is prob of sequence bvb?
1/12
What is prob of sequence hbdh when four letters picked without replacement from {x: 10, h: 5, b: 4, d: 1}?
2/2907
Calculate prob of sequence vv when two letters picked without replacement from vokggvu.
1/21
Four letters picked without replacement from ppppppppbppb. Give prob of sequence pbpb.
1/66
Calculate prob of sequence oe when two letters picked without replacement from oeyyoba.
1/21
Four letters picked without replacement from {i: 3, w: 1, j: 1}. What is prob of sequence iiij?
1/20
What is prob of sequence pelp when four letters picked without replacement from {g: 3, l: 2, d: 3, e: 2, p: 3}?
1/715
Four letters picked without replacement from kkkkkk. Give prob of sequence kkkk.
1
Four letters picked without replacement from {h: 2, v: 3, x: 2, g: 5}. Give prob of sequence gvxh.
1/198
What is prob of sequence oytt when four letters picked without replacement from {p: 1, y: 5, t: 2, o: 1}?
5/1512
Four letters picked without replacement from ttktrtrktttttkkr. Give prob of sequence trkt.
9/455
Three letters picked without replacement from {n: 1, v: 7, d: 2, h: 4, j: 6}. Give prob of sequence vdn.
7/3420
Four letters picked without replacement from xidfedddiiixix. What is prob of sequence xide?
5/2002
What is prob of sequence rfw when three letters picked without replacement from {w: 4, f: 3, y: 3, h: 1, u: 2, r: 2}?
4/455
Four letters picked without replacement from ggiiigg. Give prob of sequence gggi.
3/35
Three letters picked without replacemen


bigger: b or n?
n
Let i = -843 + 561. Let h = -71941 - -71940.9. Is h < i?
False
Let c be (12/20)/(27/(-90)*-9). Is c bigger than 0.588?
False
Let s(q) = -8*q**2 + 2*q + 4. Let m be s(-4). Let a = -50645 - -50513. Is m at most a?
True
Let o = -18087 - -53420/3. Let t be 46624/(-165) + (-9)/(-15). Let z = t - o. Which is smaller: z or 1/3?
z
Let w(g) = -3*g - 9. Let b be w(-3). Suppose 3*o = 4*t + 6 + 2, b = -5*o - 4*t - 8. Let x(h) = -2*h**2 - 4*h - 2. Let j be x(-2). Is j >= o?
False
Suppose 26*o + 34747 = -33058 + 2753. Which is greater: -2501 or o?
-2501
Let a = -6688 - -8365. Is a at most 1677?
True
Let y(x) = -x**3 - x**2 + 3*x + 2. Let q be y(-1). Let z be 140/48 + -3 - q. Is z > 1?
False
Let b = -805 - -23339/29. Let h = -99.5 + 99.5. Is b greater than h?
False
Let j = 1834 + -1822. Which is greater: j or 272/25?
j
Let n(b) = 2*b**3 + 4*b**2 - 5*b - 6. Let t be n(4). Suppose -4*u = 215 - 879. Is u at most as big as t?
True
Suppose 0 = -10*g + 22*g - 3672. Suppose g*k - 313*k = -665. Which is greater: 284/3 or k?
k
Let u = -8/855 + 9421/1710. Is -26/3 less than or equal to u?
True
Let c = 4.85 + 18.15. Are -194/7 and c non-equal?
True
Suppose -11*l + 14 = -52, 5*l - 30 = -2*a. Is 58/359 at most as big as a?
False
Suppose 0 = -2*f + 10, -4202*j - 155 = -4204*j + f. Let h be (-157)/(-2) + 3/6. Which is bigger: h or j?
j
Suppose -2*h = 16 - 12. Let s be (1 + -36)*(-1)/h. Let x = 249/14 + s. Which is smaller: 0 or x?
0
Let i be (-293800)/60*26/65. Is -1959 > i?
False
Let v(d) = -9*d - 96. Let s(x) = -x**2 + 38*x - 29. Let y be s(37). Let t be v(y). Is t >= -169?
True
Let w(j) = -j - 1. Let f be w(14). Let o = -8 - f. Suppose l + g + o = -l, -1 = 2*l - 5*g. Which is smaller: -22/9 or l?
l
Let s = 0.19 + -1.19. Let g = 2257 + -2261. Which is smaller: g or s?
g
Suppose 2*c = -4, 0*s - 5*c + 42 = 4*s. Let i(p) = 5*p - 7. Let j(q) = -7*q + 7. Let b(t) = 4*i(t) + 3*j(t). Let x be b(s). Is -19 > x?
True
Let x = -55 + 60. Suppose -26 = -x*l - 11. Let j be l - (-4 + 321/33). Which is smaller: j or -2?
j
Suppose -3*m + 49 - 58 = 0. Let t be (m/(-399))/(2/6). Which is bigger: t or 0?
t
Suppose -1 = 5*v - 21. Suppose -v*t + 13 = -3*t. Let y = -482 + 492. Is y less than or equal to t?
True
Let n = 316 - 324. Let d be ((-2 - n) + 1)*(-20)/(-7). Which is smaller: d or 3?
3
Suppose 307*n - 302*n = 150. Suppose 5*z - 92 = -4*f, 5*f + n = -8*z + 9*z. Is z != 26?
True
Let f = 9/77 + -4/7. Let k be (-8)/(-3)*(-45)/(-10). Suppose -3*y - k = -y - 2*g, 5*y = 3*g - 20. Is y smaller than f?
True
Let m be 1/(0 + 35*1). Let c = 290100 + -290100. Is m bigger than c?
True
Let s = -163.72 + 0.72. Let w = s - -206. Which is greater: 1/3 or w?
w
Let j = -25 + 16. Let f = -9.0064 - 0.0936. Let q = f - j. Does q = 11?
False
Suppose -4*a - 485 = -557. Let l be (-15)/a*(-18)/495. Is l < 0?
False
Let m = 14025.73 + -14024. Which is greater: -41 or m?
m
Suppose -3*r + o - 13 = 0, r - 2*r = -4*o - 14. Let k be r*3 - (1 - -1). Let w = -19 - k. Is w at least as big as 2/65?
True
Let m = 37 - 31. Let d = 8 - m. Suppose -k = -2*h - 1, -k - d*k - 18 = h. Is -5 bigger than h?
False
Suppose 3*o = -2*c + 291 - 302, 2*c = -2*o - 10. Are 1/2751 and o equal?
False
Suppose -2 = 2*u - u. Let s be ((-56)/(-70) + 814/(-680))/(882/(-112) - -8). Do s and u have different values?
True
Suppose -6*i - 236 = 1354. Let p = i + 278. Let c be ((-8)/(-6) + -2)*3. Does c = p?
False
Let f be -3*(1 - (-159)/(-162)). Let l be 5 + -3 + 4 + 2. Suppose -y = -4*t + 19, l + 15 = -2*y + 5*t. Which is smaller: y or f?
f
Let t = 2837 + -2838. Which is smaller: t or -2/54015?
t
Suppose t + 3 - 6 = 0. Suppose -t*a = -88 - 161. Which is smaller: a or -3?
-3
Suppose 13489 + 571 = 95*w. Is 154 bigger than w?
True
Suppose 129*p + 30015 - 10359 = 507*p. Which is smaller: 458/9 or p?
458/9
Suppose -2*v - 20 = -6*v. Suppose -v*r = -2*p - r + 28, 4*p = -4*r + 8. Suppose 27 - 3 = p*n. Is 6 at most n?
False
Suppose -17*w = -716 + 2. Let u(q) = q**3 + 2*q**2 - 3*q + 4. Let s be u(3). Is w at most as big as s?
False
Let y = -2048 + 2011.56. Let h = -36 - y. Let i = -0.24 + h. Which is smaller: -5 or i?
-5
Let l = 336 - -2455. Which is smaller: l or 2793?
l
Let x be (-18 - -19)*(1*20)/(-1). Let k(w) = -3*w**2 - 26*w + 48. Let c be k(x). Is c equal to -631?
False
Suppose 20*f = -7053 + 893. Is f greater than -1537/5?
False
Let v = -98 - -39. Let p = -449957 + 449956. Is p at least as big as v?
True
Let q(l) = 4*l**2 - l. Suppose z + 5*p = 5*z - 21, -3*z - 23 = 4*p. Let m be q(z). Suppose 5*r = m*h + 15, -h = -2*r + 4 - 0. Which is smaller: -6 or r?
-6
Let x = -214964/225 - -8600/9. Is 4/49 > x?
False
Let h be 161/138 - (-5178830)/(-1524). Suppose -5*w + 10191 = -8*w. Let s = w - h. Does 1 = s?
False
Let g be (-39 - -37) + (1 - (-1 - -1)). Let k be (0 - g*4) + 33/11. Which is smaller: 15 or k?
k
Let q be ((-90)/4)/(-3)*1040/(-650). Let b be (-9)/6*(-2936)/q. Is b greater than -367?
False
Let j be (6660/(-80))/(9/24). Which is smaller: -221 or j?
j
Suppose 4*x + 498*t - 497*t = 8294, -2*x - t + 4148 = 0. Is 2073 < x?
False
Let g = 2/121363 - -8495192/13228567. Which is bigger: 1 or g?
1
Let d = 6114821825/57 + -107274648. Let s = 2928 - d. Which is smaller: s or -1?
-1
Let b = -1817 - -1787.84. Let m = 29.6 + b. Which is bigger: m or -0.1?
m
Suppose -5*c - 5*u + 1725 = 0, 2*c - 14*u - 692 = -18*u. Let h = -355 + c. Which is bigger: h or -15?
h
Suppose -659*w = -370 - 289. Let a = 159093/211 + -754. Is a at most as big as w?
True
Let c(j) = 2*j**2 + 7*j - 4. Let a be c(1). Suppose 7*g = 2*l + a*g - 4, -5*l - 4*g - 17 = 0. Which is smaller: l or -16/35?
l
Suppose 2*t = -3*x + 156, 7*t - 6*t - 81 = -3*x. Which is greater: 82 or t?
82
Let n be 5 + -1 + -1 + (21 - 23). Let s be 1/(-3) + 152/150. Let p = 1137/1525 - s. Does p = n?
False
Suppose -5*s + 26 = 2*d, 0 = -4*d + d - 2*s + 17. Suppose 2*v = 4*j + 150 + 54, d*v = -5*j + 273. Is v less than or equal to 93?
False
Suppose k + 2208 = -5*r, -2*r - 496 - 378 = 5*k. Let b be (-1287)/r + -4 + 1. Let y be 10/35 - 26/91. Which is smaller: b or y?
b
Let b be -92*(-6)/48*-10. Let i = b - -114. Do -2.4 and i have different values?
True
Let k be (72/21)/(1/(-105)). Let u be 30/(-3) + 117/(9*18/(-486)). Is u < k?
True
Let s = 12310 - 3796. Are s and 8516 nonequal?
True
Let j = 12.0018 - 0.0018. Let r = 1.1 - -0.1. Let s = 0.8 + r. Is s at most as big as j?
True
Let r = -321 + 322. Let b be (2/(-1326))/((-4)/24)*r. Which is bigger: 1 or b?
1
Let t be (-647)/(-133) + (-37 - -42)*(-2 - -1). Is t equal to 1?
False
Let d = -10508 + 10507. Which is bigger: 6/761 or d?
6/761
Let i be (-9)/1 - (-109 - 764). Is 862 <= i?
True
Let y(l) = 15*l + 57. Let t be y(11). Suppose 0 = -412*s + 418*s - t. Which is bigger: 33 or s?
s
Suppose -25 = 5*n, 5*p - 4023 = 4*n - 1373. Which is greater: p or 524?
p
Suppose -2*g = 4*c - 4, -16 = -4*g + 7*g - 5*c. Let l be (g + 14)*(-26)/78. Is -50/17 > l?
True
Suppose 6*y - 191 = -161, -5*o + 4*y - 18275 = 0. Is o less than or equal to -3653?
False
Let h = -60 - -75. Let m be (h/(-6) + 2)*(0 - -18). Let a be 1*m/((-45)/(-40)). Which is smaller: a or -10?
-10
Let q be 7 + ((-50)/(-900) - (-3562)/(-504)). Let f = 4 + 6. Suppose -t = k - 2 + 4, f = 4*t - 2*k. Is t bigger than q?
True
Suppose -5*f - 62*x + 65*x = 6, 0 = -f + 5*x - 10. Which is bigger: f or 1/4988?
1/4988
Let v(g) = 4*g - 12. Let b be v(10). Let t(p) = 15*p**2 - 5 - 3 - 14*p**2 + 2*p. Let c be t(-7). Which is smaller: c or b?
c
Let k(c) = 58*c**2 - 350*c + 12. Let m be k(6). Which is greater: 30/347 or m?
30/347
Let i be ((-1)/(-4) + 4/(-16))*(-8)/(-40). Let d = -93774/155 + 605. Which is greater: d or i?
d
Let g = -40748/247 - -6192/19. Which is smaller: 162 or g?
g
Let i be ((-20)/(-80))/((-2)/16)*9/32. Which is greater: i or -1.9?
i
Suppose 1666 = 242*b - 28. Let p be (-256)/20 - 1/5. Are b and p equal?
False
Let t(n) = 3*n**3 + 34*n**2 + 8*n - 9. Let j be t(-10). Which is smaller: 4 or j?
4
Let z = -92101/16 - -5756. Suppose -t - 3 = -5. Suppose -t*u = 2*u. Which is greater: z or u?
u
Let i = 2482/33 + -828/11. Is 0 at least as big as i?
True
Suppose 0 = 223*t - 151*t - 133*t - 1891. Does -425/14 = t?
False
Let y = 588 - 586. Suppose -3*u = g + 3 - 5, 5*g + 16 = -y*u. Is u smaller than 40?
True
Suppose -3*


 + 2105*o.
-5*o
Collect the terms in -1232*h + 3760*h - 1265*h - 1264*h.
-h
Collect the terms in -131*z + 55 - 56 - 1395*z.
-1526*z - 1
Collect the terms in -74363*w**3 - 1 + 74360*w**3 + 1.
-3*w**3
Collect the terms in -4303*r**2 - 4325*r**2 + 8602*r**2.
-26*r**2
Collect the terms in 8*n - 40*n + 17*n + 2 + 13*n.
-2*n + 2
Collect the terms in 22*w**3 - 42*w**3 + 135*w**2 + 167*w**2.
-20*w**3 + 302*w**2
Collect the terms in 242*b**2 + 9*b**2 + 39*b**2 - 7*b**2.
283*b**2
Collect the terms in 19226*w**3 - 11714*w**2 + 11714*w**2 - 19231*w**3.
-5*w**3
Collect the terms in 554*v**3 - 95*v**3 - 1019*v**3.
-560*v**3
Collect the terms in 13 + 37*l**3 - 353 + 4*l - 4*l - 34*l**3.
3*l**3 - 340
Collect the terms in -13*r**2 - 155951 + 3*r**2 + 155951.
-10*r**2
Collect the terms in -199*v**2 + 2*v**3 - v**3 + 3*v**3.
4*v**3 - 199*v**2
Collect the terms in 22*v**3 - 26*v**3 + 629 - 3*v + 4*v**2 + 3*v.
-4*v**3 + 4*v**2 + 629
Collect the terms in -863*j + 872*j + 1 - 20.
9*j - 19
Collect the terms in 18598 - 2*k + 4*k + 0*k.
2*k + 18598
Collect the terms in -592*w**3 - 726*w**3 - 1755*w**3 + 441*w**3 + w.
-2632*w**3 + w
Collect the terms in -12*b**2 + 77*b**2 - 9*b**2 - 30*b**2 - 18*b**2.
8*b**2
Collect the terms in -15*l + 92*l - 15 + 15.
77*l
Collect the terms in -33*l**2 + 19*l**3 + l**3 + 33*l**2 + 13*l**3.
33*l**3
Collect the terms in 167*k + 187 - 187.
167*k
Collect the terms in -24*a + 12*a + 12*a - 745*a**2 + 751*a**2.
6*a**2
Collect the terms in 422*v + 419*v - 1248*v + 410*v.
3*v
Collect the terms in 2*d + 142 - 444 + 302.
2*d
Collect the terms in 40*o - 21640*o**2 - 40*o.
-21640*o**2
Collect the terms in 0*u**2 + 2*u**2 - 173*u + 403*u + 210*u.
2*u**2 + 440*u
Collect the terms in 6*f + 9*f - 21*f + f + 2*f + 5*f.
2*f
Collect the terms in -229 + 229 + 2091*c.
2091*c
Collect the terms in 4 - 2 - 1210*o - 3733*o.
-4943*o + 2
Collect the terms in -9*p - 861*p - 1797*p.
-2667*p
Collect the terms in -213282 + u**2 - 23*u**3 + 213282 - u**2.
-23*u**3
Collect the terms in 6*f + 471*f**3 - 5*f - 162*f**3.
309*f**3 + f
Collect the terms in 30*f**2 + 4*f - 30*f**2 + 2*f**3 + 1284.
2*f**3 + 4*f + 1284
Collect the terms in -4580 - 4411 + 7*y**2 + 8991.
7*y**2
Collect the terms in -10 + 13 - 1 + 3 + 36*w**2.
36*w**2 + 5
Collect the terms in 18*r - 33*r - 1 + 3 + 20*r.
5*r + 2
Collect the terms in 4*k - 4*k + 16410*k**3 - 16363*k**3.
47*k**3
Collect the terms in 83096*y**2 + 83077*y**2 + 83087*y**2 - 249268*y**2.
-8*y**2
Collect the terms in 33*z**3 - 21*z**3 - 4*z**3 - 1732*z + 1732*z.
8*z**3
Collect the terms in 71*r**2 - 454*r**2 + 66*r**2.
-317*r**2
Collect the terms in 55 - 55 + 367*n**3 + 799*n**3.
1166*n**3
Collect the terms in -82*d + 154*d + 67*d.
139*d
Collect the terms in 1648 - 1648 - 1053*t**3.
-1053*t**3
Collect the terms in -2*r - 7*r + 9*r - 351*r**2 + 1058*r**2.
707*r**2
Collect the terms in 46*q + 89*q - 36*q + 34*q.
133*q
Collect the terms in -409*z + 12*z - 2234*z.
-2631*z
Collect the terms in -26009*u - 25944*u + 51952*u.
-u
Collect the terms in -25 - 5 + 30 + 219*u**3 - 63*u**3.
156*u**3
Collect the terms in 175122 - 5*k - 175122 + 5*k + k**3.
k**3
Collect the terms in -195 - 646 + 841 + 21*v**3.
21*v**3
Collect the terms in -49*d**3 + 373*d**3 - 108*d**3 - 110*d**3 - 107*d**3.
-d**3
Collect the terms in -140 - 143 - 109 - 45*n + 390.
-45*n - 2
Collect the terms in 38747*o - 24500*o + 42299*o.
56546*o
Collect the terms in -13*a**2 - 239*a**2 + 171*a**2 + 78*a**2.
-3*a**2
Collect the terms in -1398*m + 2789*m - 1393*m.
-2*m
Collect the terms in -23*b - 26*b - 21*b + 87*b - 27*b.
-10*b
Collect the terms in -20*w**2 + 26*w**2 - 741 + 27*w**2.
33*w**2 - 741
Collect the terms in 9*r + 11 - 8 + 127 - 3*r.
6*r + 130
Collect the terms in -493*l + 1226*l - 756*l.
-23*l
Collect the terms in 129 - 8*x**2 - 264 + 135.
-8*x**2
Collect the terms in -135*x**2 - 14*x - 28*x + 9*x - 15*x.
-135*x**2 - 48*x
Collect the terms in -3604 - 3609 - 17*i**2 - 16*i**2 + 7215.
-33*i**2 + 2
Collect the terms in -75 + 890*t**3 + 1086*t**3 + 75.
1976*t**3
Collect the terms in 92 - 195 + 103 - 76*a.
-76*a
Collect the terms in -10*m - 140*m + 157*m - 24*m.
-17*m
Collect the terms in -3*v**3 - 1325 + 2647 - 1322.
-3*v**3
Collect the terms in -511*k**2 + 6*k + 11*k - 17*k.
-511*k**2
Collect the terms in 223120*u**2 + 216*u**3 - 223120*u**2 + 143*u**3.
359*u**3
Collect the terms in -62 + 8*x**3 + 25 + 13*x**2 + 37.
8*x**3 + 13*x**2
Collect the terms in -n**3 + 218 - 218 - 2*n**2 - 2*n**3.
-3*n**3 - 2*n**2
Collect the terms in -21 - 15 + 76 - 23 + 69*o**3 - 15.
69*o**3 + 2
Collect the terms in -195*u + 244*u - 583*u + 10 - 11.
-534*u - 1
Collect the terms in -1154 - 3*x - 1162 + 2*x + 2341.
-x + 25
Collect the terms in m**2 - 128*m + 2*m**2 - 48*m + 5*m**2.
8*m**2 - 176*m
Collect the terms in 1 + 299*y**3 - 32*y**2 + 32*y**2 + 1591*y**3 + 2*y.
1890*y**3 + 2*y + 1
Collect the terms in 0 + 0 + 9237*s**3 - 8746*s**3.
491*s**3
Collect the terms in -1738748034 - 7*y**3 + 1738748034.
-7*y**3
Collect the terms in -5*u + 4*u + 55 + 2*u.
u + 55
Collect the terms in 13279*d**2 - 6639*d**2 + d + 0*d - 6643*d**2.
-3*d**2 + d
Collect the terms in 4*p - 183 + 15 + 168.
4*p
Collect the terms in 1899*a**3 + 2131*a**3 + 108 - 106.
4030*a**3 + 2
Collect the terms in 3*t - 7897*t**2 + 1972*t**2 - 3*t.
-5925*t**2
Collect the terms in -7*p**3 - 6*p**3 + 8299 - 8299 + 22*p**3 - 6*p**3.
3*p**3
Collect the terms in -1 - 7 - 1394*b + 8.
-1394*b
Collect the terms in -709*o**3 - 699*o**3 - 749*o**3 + 2156*o**3.
-o**3
Collect the terms in -4637951*o**3 - 4637955*o**3 + 9275904*o**3.
-2*o**3
Collect the terms in 1317*n**3 - 1316*n**3 - 3*n + 3*n.
n**3
Collect the terms in -568*p**2 + 15*p + 563*p**2 + 5*p - 20*p.
-5*p**2
Collect the terms in 66 - k + 59 - 14*k - 120.
-15*k + 5
Collect the terms in 442*t**2 + 472*t**2 - 183*t**2 - 156*t**2.
575*t**2
Collect the terms in -3*w + 0*w - 317 + 2*w + 2*w + 42.
w - 275
Collect the terms in 26 - 60 + 4*r + 11 + 23.
4*r
Collect the terms in -64 - 59 + 380 - 2*t - 69 - 188.
-2*t
Collect the terms in 23*v**3 + 22643*v**2 - 22643*v**2.
23*v**3
Collect the terms in -49*u**2 + 53 - 53 - 4*u**3 - 2*u**3.
-6*u**3 - 49*u**2
Collect the terms in 564*n**3 - 1125*n**3 - 788 + 788 + 562*n**3.
n**3
Collect the terms in 220*g**2 - 117*g**2 - 108*g**2.
-5*g**2
Collect the terms in -104 + 8*x - 14*x**2 - 8*x - 4*x**2 + 15*x**2.
-3*x**2 - 104
Collect the terms in -12*c**2 - 3*c - 5*c**2 - 4*c**2 + 22*c**2.
c**2 - 3*c
Collect the terms in -7954 + 7954 - 18*v**2.
-18*v**2
Collect the terms in -137*y + 180*y + 115*y.
158*y
Collect the terms in -200*n**3 - 20*n**3 - 21*n**3 + 211*n**3.
-30*n**3
Collect the terms in -15 - 1195*l**3 - 7841*l**3 + 15.
-9036*l**3
Collect the terms in 2*f**2 + 16461*f + 16471*f - 32932*f.
2*f**2
Collect the terms in -83*x**3 + 134*x**3 + 1243 - 1245 + 127*x**3.
178*x**3 - 2
Collect the terms in -21045158 + 67*g**2 + 21045158.
67*g**2
Collect the terms in -479*x + 84*x + 173*x - 622*x.
-844*x
Collect the terms in 483185*j**2 - 483185*j**2 + 3*j**3.
3*j**3
Collect the terms in 464*t**3 - 45 + 33 - 97*t**3 + 13.
367*t**3 + 1
Collect the terms in 1009732371*q - 20*q**3 - 1009732371*q.
-20*q**3
Collect the terms in -41743124754*k + 41743124754*k - 3*k**2.
-3*k**2
Collect the terms in -3*g**3 + 11*g**2 - 5*g**3 - 9 + 9.
-8*g**3 + 11*g**2
Collect the terms in 1720*d**2 - 883*d**2 - 830*d**2.
7*d**2
Collect the terms in -59 + t**2 + 135 - 19.
t**2 + 57
Collect the terms in -3*m - 172 + 3*m - m - 2*m - 2*m**2.
-2*m**2 - 3*m - 172
Collect the terms in 19*w**2 - 117361 + 117361.
19*w**2
Collect the terms in 69 - 3*b + 730 - 2*b**2 + 3*b.
-2*b**2 + 799
Collect the terms in -5 - 6*t + 45*t - 15*t - 16*t.
8*t - 5
Collect the terms in -124*u + 383*u - 4 - 134*u - 123*u.
2*u - 4
Collect the terms in 30*z**2 - 197*z + 189*z - 6*z**2.
24*z**2 - 8*z
Collect the terms in -295*i + 21 - 943*i + 118*i - 21.
-1120*i
Collect the terms in 9*h**3 + 0*h**3 + 3*h**3 - 22*h - 9*h**3 + 14*h.
3*h**3 - 8*h
Collect the terms in -142 + 615*q**2 + 142 - 2*q.
615*q**2 - 2*q
Collect the terms in -260*c**2 - 107*c**2 + 158*c**2.
-209*c**2
Collect the terms in -682*c**2 + 1288*c**2 - 696*c**2 + 5*c**3.
5*c**3 - 90*c**2
Collect the terms in -t + 4*t - 3*t + 335146*t**2.
335146*t**2
Collect t


+ 4*s + q = 0. Is t a multiple of 7?
True
Let n = 3259 - -10901. Is n a multiple of 20?
True
Let w(h) = 3*h**3 - 16*h**2 + 12*h - 150. Let n be w(12). Suppose -9*p + n = -1446. Does 24 divide p?
True
Let n(c) be the second derivative of -c**5/20 - 5*c**4/6 - 7*c**3/3 + 3*c**2/2 + 9*c. Let v be n(-8). Let q = v - -24. Is 11 a factor of q?
True
Let w = 1 - 1. Let d = 6552 + -5811. Suppose 37*c - 40*c + d = w. Does 19 divide c?
True
Let r(g) = g**3 + 7*g**2 + 6*g - 6. Let z be r(-6). Let y(h) = -h**2 + 22*h - 6. Let w be y(15). Let v = w + z. Is v a multiple of 13?
False
Let v(c) = -34*c - 99. Let q be v(-3). Suppose 1575 = 5*w - 6*n + n, 0 = q*w - 4*n - 945. Does 21 divide w?
True
Let q = 59 + -79. Let y be -4*(-5 - 95/q). Does 16 divide (-4 + 49)*(y - (-9)/3)?
False
Let j = 117 + -116. Suppose 2 = -z - j, -3*y - z = -585. Does 14 divide y?
True
Let h(v) = 125*v**2 + 123*v**2 + 3*v - 53*v**2 + 4. Let t be (602/(-3010))/(2*1/10). Is h(t) a multiple of 30?
False
Is 29 a factor of -2 - ((-25)/(-15) + (-308547)/27)?
False
Let k be 4*149 + 0/(4 - 1). Let o = -196 + k. Is o a multiple of 50?
True
Let w = 1959 - 1163. Suppose -2*t = -5*u - w, 2*t - 8*u = -6*u + 802. Is 13 a factor of t?
True
Suppose 4*l = 3*n - 324, -3*l + 324 = 3*n - 0*l. Does 54 divide n?
True
Suppose -2*m = -9*x + 14*x - 20477, 0 = m + 5*x - 10221. Does 22 divide m?
False
Does 32 divide (-72606)/(-36) + (-30)/(-72)*-2?
True
Let q be (24/(-28))/((-1)/(-7)). Is ((-27)/q)/3*1*90 a multiple of 53?
False
Let l be ((-19)/((-532)/(-144)))/((-9)/2604). Is 22 a factor of -22*(-110)/(-6)*l/(-310)?
True
Does 117 divide 3*((-8)/(-40) - (-3)/90*352354)?
False
Let m = 522 - -125. Suppose 3*o = -5*n + 1028, -4*n + o + 189 = -m. Is n a multiple of 16?
True
Suppose -5*p - 4*q + 137763 = 0, -2*p + 23401 = -3*q - 31741. Is p a multiple of 217?
True
Let q(p) = 3*p**2 + 47*p + 42. Let n be q(-18). Let x = -72 + n. Is 24 a factor of x?
True
Let l be (6/(-7))/(3/21). Let b = -116 - -114. Is (-108)/((b/l)/((-26)/117)) a multiple of 36?
True
Let r(u) = -u**2 + u - 1. Let q(m) = 5*m**2 + 11*m + 8. Let o(h) = -q(h) - 4*r(h). Is o(-10) a multiple of 10?
False
Let g = -28143 + 52970. Does 40 divide g?
False
Suppose -12*i + 11674 = 1846. Does 13 divide i?
True
Suppose 184*j = 163*j + 154203. Is 92 a factor of j?
False
Suppose 0 = -3*i - 0*g + 2*g + 255, 0 = 4*g. Let f be (-1367)/(-5) + (-34)/i. Suppose -2*q - 2*q = h - 42, 4*h - 5*q = f. Is 31 a factor of h?
True
Let t(d) = -60*d - 180. Let j be t(-3). Suppose j = 4*s - 1584 + 700. Is s a multiple of 59?
False
Let v be 21463/15 + 8/840*14. Suppose -1435*y + v*y = -504. Is 9 a factor of y?
True
Suppose 50 = -3*i + 2*r + 344, 0 = -i + 4*r + 88. Let m = i + 175. Suppose 7*b + 4*b = m. Does 5 divide b?
True
Suppose -21*n + 3027 + 14193 = 0. Does 66 divide n?
False
Does 39 divide 364/16*(72/(-16))/((-3)/72)?
True
Suppose -498*x = -512*x - 42. Let b = -20 - -35. Does 20 divide (-4)/x*b*4?
True
Suppose 0 = 4*b + 3*w - 32991, 26*b + 2*w + 16520 = 28*b. Does 7 divide b?
True
Is (-3)/27 - 1225/135*-123 a multiple of 12?
True
Let b(r) = -2*r**3 + 41*r**2 + 37*r + 7. Is b(21) a multiple of 7?
True
Let h = 7967 + -4670. Is 5 a factor of h?
False
Suppose 4*x + 5*p = 56, 0 = -x + 4*p + 4 - 11. Let r(t) = 10*t - 53. Is 2 a factor of r(x)?
False
Let p(o) = -188*o - 23. Let m(t) = t. Let i(z) = -6*m(z) - p(z). Does 16 divide i(6)?
False
Suppose 0 = -5*m - 4*a + 24390 + 18252, -m - 3*a + 8513 = 0. Is 251 a factor of m?
True
Suppose 0 = 2*m - 161*m + 12561. Suppose 5*d = 3*g - 990, -5*g + d + 1070 = -602. Suppose m + g = 6*f. Is f a multiple of 3?
True
Let z = 26 - 24. Suppose 0 = -2*o - z*o + 1440. Let f = o + -192. Is 42 a factor of f?
True
Suppose -u = 3*r + 605, 2*u - 590 = -29*r + 32*r. Suppose -l + 115 = 515. Let c = r - l. Is 21 a factor of c?
False
Let b = 1862 - 647. Does 3 divide (2/(-3))/((-6)/b)?
True
Suppose 9*k + 10 = 55. Does 19 divide (4*133)/2 + -5 + k?
True
Let g(q) be the second derivative of 1/6*q**3 + 0 + 17*q - 1/12*q**4 + 17/2*q**2. Is 6 a factor of g(0)?
False
Suppose 12039 = 15*s - 1566. Does 79 divide s?
False
Suppose -41*j - 20*j + 66368 = 0. Is j a multiple of 20?
False
Let q(w) = 499*w - 475. Is q(5) a multiple of 6?
False
Suppose 214*k + 94831 = 234*k - 164289. Is 82 a factor of k?
True
Let b(h) = 20*h**2 - 75*h - 30. Is 60 a factor of b(18)?
True
Let m = 6269 - 4233. Suppose -3*o + 499 = -4*z - m, 0 = -o - z + 852. Is o a multiple of 19?
False
Suppose 16 = -5*i - 9, -2*x - 2*i = -24. Suppose -x*d - 22 = -90. Suppose 3*p - 7*o + d*o = 15, -2*o - 26 = -4*p. Is 4 a factor of p?
True
Suppose -7280*k + 7285*k - 4410 = 0. Is k a multiple of 14?
True
Let c be (84/96)/(2/16). Let a(o) = 4*o**2 - 12*o + 68. Does 39 divide a(c)?
False
Suppose 0 = 2618*g - 2610*g + 48. Let z(p) = 6*p**2 + 28*p + 9 + 2*p**2 - 6*p**2 + 8*p**2. Does 20 divide z(g)?
False
Let f = 5 + -3. Suppose 0*l + l - f*v = 113, -4*l + 4*v = -456. Is l a multiple of 12?
False
Suppose 0 = -3*q - 3, 3*q - 11 = -4*z - 2. Suppose -57 = -z*n - 3*b, -9*b = -2*n - 5*b + 68. Is 4 a factor of n?
True
Suppose 2*f + 8 = 194. Suppose 7*w = 263 - 67. Let z = f + w. Is z a multiple of 36?
False
Let z = -21 - -59. Let g = -34 + z. Suppose -g*b = -12*b + 1376. Is b a multiple of 43?
True
Is 13 a factor of 1/(3/(-36)) + 1390?
True
Suppose -3*p = 3*a - 22179, 19*a = 3*p + 23*a - 22172. Is p a multiple of 33?
False
Does 44 divide (232/20 + -10)*((-108625)/10)/(-5)?
True
Let b(c) = -9*c**3 - 3*c + 2. Let v be b(-3). Suppose -v = -6*t - 26. Suppose 5*d - 7 = -s, 0*s - 2*d = -3*s + t. Is s a multiple of 2?
True
Let s be (8*2/4)/(2/10). Suppose 1218 = s*m + m. Is m a multiple of 2?
True
Let m = -7674 - -15832. Is 2 a factor of m?
True
Let v be ((-2178)/(-48)*4)/(1/2). Suppose 0 = -3*z - 5*t - v, 5*z + 0*t = -2*t - 624. Let g = -34 - z. Is 46 a factor of g?
True
Suppose -3*f - 37365 = -3*n, 4783 = 3*n + 3*f - 32624. Is n a multiple of 31?
True
Let v = 2 - 2. Suppose 27*h - 19*h - 192 = v. Is 3 a factor of h?
True
Let d(n) = 18*n - 20. Let m(z) = 106*z - 119. Let k(x) = 34*d(x) - 6*m(x). Is k(-5) a multiple of 7?
True
Let n = -13652 - -26280. Is 16 a factor of n?
False
Let f be (10/7)/(315/882). Suppose 3*b - 48 = 3*u, -b - f*u = -9*u - 24. Is 2 a factor of b?
True
Is (-12 - 142606)/(-14) - 0 a multiple of 11?
False
Suppose -2*k = 46*g - 44*g - 2780, g - 1396 = -3*k. Is g a multiple of 60?
False
Let m(y) = -9*y - 141. Let t be m(-16). Suppose -2445 = -3*l - t*o, 812 = -48*l + 49*l + 4*o. Does 48 divide l?
True
Let k be ((-36)/(-14))/(((-8)/14)/4). Let w be (-76)/k + (-10)/45. Suppose -4*c = -2*s - 120, -3*c + w*s + 11 = -79. Is c a multiple of 10?
True
Let s be (-8)/(-1) - 18/6. Suppose s*x - 2*o + 1355 = -7*o, -1405 = 5*x - 5*o. Is -4 + (3 - 1/(4/x)) a multiple of 5?
False
Suppose -4*g - 2*n + 150 = 0, 0 = -5*g + n + 11 + 180. Let w = 201 - g. Does 20 divide w?
False
Suppose 9*d - 4831 - 66737 = 0. Is d a multiple of 10?
False
Let s = -12996 - -15253. Is 37 a factor of s?
True
Let w(x) = -x - 18. Let f be w(-8). Let n be (12/f)/(33/550). Let v = -2 - n. Does 10 divide v?
False
Let c = 104 - 389. Let l = -189 - c. Is 6 a factor of l?
True
Suppose 2*w + 258 = 4*w. Suppose -888 = 2*c - 2316. Suppose c - w = 5*l. Does 39 divide l?
True
Let l = -353 - -531. Let p = l - 376. Let j = -110 - p. Is 7 a factor of j?
False
Suppose 3461 = 3*d - z - 0*z, 4*z = -20. Suppose -169*v + 165*v = -d. Does 36 divide v?
True
Let v(j) = 8344*j**3 + 3*j**2 + 13*j - 16. Does 8 divide v(1)?
True
Let o(k) = k**3 + 19*k**2 + 34*k - 2. Let j be o(-17). Is 11 a factor of (j*1 + 305)*29/29?
False
Let t(h) be the third derivative of -h**6/120 + h**5/12 + h**4/12 - h**3/6 + 5*h**2. Let r be t(5). Is 7 a factor of (28/12)/(3/r)?
True
Let q(i) = -i**3 + 11*i**2 + 12*i - 49. Suppose -2*n + 2 = j, -2*j + 0*j + 4*n = -20. Is 7 a factor of q(j)?
True
Let g be (-1 - -2)*(26 + (4 - 3)). Is 29 a factor of (2/3)/2 - (-11736)/g?
True
Suppose -m - m = 8, -4*q - 3*m = -32. Suppose 45 = -2*s + q*s. Suppose 277 = 3*j - s*f + f, -f = 2*j - 203. Is 11 a factor of j?
True
Let z(m) = 23*m**2 + 11*m. Let o be z(-4). Suppose 4842 - o = 5*i - 4*w, 2*i + 3*w = 1798. Does 11 divide i?
True
Suppose -132*u - 77*u + 450696 = -31*u. Is 9 a factor of u?
False
Suppose -21*v -


11. Let s be d(12). Solve -n = -2 + s for n.
1
Suppose -5 = -3*i + 1. Let j = -1 - i. Let v = j + 15. Solve 2*s + v = -s for s.
-4
Let z(c) = -c**3 - c**2 + 2*c - 7. Let y be z(-3). Solve -4*w = -5*w + y for w.
5
Let r = -9 - -9. Solve w + 2 = -r*w for w.
-2
Let w be 2 + 2/1 - -2. Let a be w/45*3*5. Solve -a*n = 10 - 2 for n.
-4
Let k(p) = -p**2 + 2*p - 6. Let q be k(5). Let f = -15 - q. Solve -f = -m - m for m.
3
Let j(k) = k**2 + 6*k - 4. Suppose -2*v + 21 = -5*v. Let o be j(v). Solve -o*x + 2*x = -3 for x.
3
Let x(q) = -3*q - 7*q**2 - 11*q + 5 - 2*q**2 + 4*q + q**3. Let p be x(10). Solve -p*c = -c + 4 for c.
-1
Suppose 4 + 2 = 2*n. Suppose 0*p = -n*p + 12. Suppose -4*g + p = -2*d, 3*g - 6 = g. Solve r = -d - 1 for r.
-5
Let j = -14 - -17. Solve j*c = c for c.
0
Suppose -3*b = b - 20. Solve 0*w + b*w + 15 = 0 for w.
-3
Let a(u) = -u**3 - 11*u**2 - 2*u - 11. Let y be a(-11). Solve -5*p - y = -1 for p.
-2
Suppose -3*x = -16 + 10. Let j(u) = -u**2 + 4. Let n be j(x). Solve n*y - 4*y = 0 for y.
0
Suppose p + 5*c = 22, 6*p + 3*c - 22 = p. Let d be (p/4)/(1/56). Suppose 5*t - 2*n - 6 - 6 = 0, 2*t = -5*n + d. Solve t*x - 6 = 2 for x.
2
Suppose 2*p - 2*f + 2 = 0, 5*p = 8*p + 4*f - 4. Solve p*d + 2 = -d for d.
-2
Suppose 120 = 4*n + n. Let s = -14 + n. Let l = -5 + s. Solve 0 = l*g + 3 + 17 for g.
-4
Let f be (-1)/(-3)*3 - -8. Let h = f - 4. Let d = 0 + 0. Solve d = -h*r - 0*r - 15 for r.
-3
Let p = 21 + -6. Solve p = -2*b + 7 for b.
-4
Suppose 3*f - 10 = -1, -3*c + f - 3 = 0. Let b = 6 - c. Solve a + a = b for a.
3
Let x(r) = -r**2 - 6*r - 2. Let l be x(-6). Let u be (-6 + 5)/(l/8). Solve 0 = u*h - 2*h for h.
0
Suppose -4*i + 12 = -4*b, -3*b + 0*i = -i + 1. Let y(l) = -17*l**3 - l**2 + 1. Let z be y(b). Let r be (0 - -2) + (1 - z). Solve -v - r = -6*v for v.
4
Suppose -5*s - 22 = -5*b - 2*s, 3*s - 3 = 0. Solve -y = -b*y - 12 for y.
-3
Let w(u) = u**3 - 4*u**2 + u + 4. Let y be w(4). Suppose 3*l - b = 6, 4*l + y*b - 8 = 5*b. Suppose 0 = 3*t + l*t - 25. Solve -t*q - 3 - 2 = 0 for q.
-1
Let l be (-2 + -2 + 7)/1. Suppose 55 = l*c - 5*g, 0 = c + 3*c - 2*g - 78. Solve -5*d + c = -d for d.
5
Let l(z) = 8*z - 9. Let o be l(3). Solve 0 = -3*q + 8*q - o for q.
3
Let z(v) = -v. Let a be z(-4). Suppose 4*s - a*b = -b - 15, -5*s = 3*b - 15. Solve 4*u + s*u = 4 for u.
1
Suppose -2*t = -x - 5*t + 5, 35 = -5*x + 5*t. Let r be (-1)/x*10*10. Suppose s - 3 = -b, 2*b = 3 + 3. Solve s*n - 5*n = -r for n.
5
Suppose 5*q - 8 = f, 4*q + 0*f - 4 = 2*f. Solve -q = 3*a + 1 for a.
-1
Suppose m - 5*p = -10, 3*p + 8 = 3*m + 7*p. Suppose 4*s - 8*s + 48 = m. Solve -l - 2*l = -s for l.
4
Let u(r) = -r**3 + 2*r**2 + 2*r - 4. Let c be u(2). Solve n - 1 - 4 = c for n.
5
Let k = -16 + 26. Suppose -2*r + w = -k, 2*r - 6 - 12 = 3*w. Solve -4*o = -r*o - 1 for o.
1
Let l be ((-9)/18)/((-1)/4). Solve l*s + s = 0 for s.
0
Suppose 3*l - 20 = -5, 4*m + l = 1. Let q be (2 - 2)*m/(-2). Solve -2*t - 3*t + 15 = q for t.
3
Suppose 0 = -4*d - 8, 0 = 4*s - 0*s + 3*d - 18. Solve -b = -s + 1 for b.
5
Let t(g) = g**3 + 8*g**2 - 7*g + 20. Let n be t(-9). Solve -2*u = n*u - 4 for u.
1
Suppose 0 = 4*k + k - 3*b - 34, 2*k = -5*b - 5. Suppose 53*p - 49*p = 12. Let d = -19 - -36. Solve -p = -k*g + d for g.
4
Let i(k) = k - 1. Let d be i(3). Let s(f) be the second derivative of f**3/6 + f**2/2 - f. Let p be s(d). Solve 0 = p*r - r - 10 for r.
5
Let f(g) = g**3 - 6*g**2 - g + 6. Let p be f(6). Suppose -4*c + 4*o + 4 = 0, -9*o = 4*c - 12*o - 6. Solve p = c*t - 0*t - 6 for t.
2
Let a be (0/3)/(6/3). Solve k + 0*k = a for k.
0
Suppose 4*n - 28 = -0*n. Let k(c) = -c**3 + 8*c**2 - 9*c + 9. Let x be k(n). Let q = 7 + x. Solve q*f = -f + 6 for f.
2
Let j(x) = x. Let h be j(2). Let f be (2/(-4))/((-2)/(-56)). Let o = h - f. Solve 5*t - o = 4 for t.
4
Suppose -8 = -3*g + 16. Let a be (-2)/(2/(-5)) - 2. Solve f = a*f - g for f.
4
Let l = -28 + 10. Let t = 10 + l. Let p = 12 + t. Solve p*z = 3*z - 2 for z.
-2
Let w(f) be the second derivative of f**5/20 - 7*f**4/12 + 7*f**3/6 - 3*f**2/2 - 3*f. Let y be w(6). Solve 4*a + y = -5 for a.
-2
Suppose -k + 25 = 4*k. Suppose 4*r - u - 19 = r, 25 = r - k*u. Solve r*h + 0 = 5 for h.
1
Let w = -6 + 11. Suppose 6*c - c = w. Let v be (c/3)/((-2)/(-18)). Solve 3*f = -0*f - v for f.
-1
Suppose 4 = j + 1. Solve j*o = -2 - 4 for o.
-2
Suppose -5*x - 4*o - 24 = -60, 4 = 3*x - 2*o. Solve -3*a = -x*a + 5 for a.
5
Suppose 5*v = -0*v. Let j = 19 + v. Suppose 0 = 4*a - 3*t - 0*t - j, 2*a - 13 = 5*t. Solve 2 = -a*x - 6 for x.
-2
Let h = -1 - -2. Suppose -4 - h = -r. Suppose b - 15 = -4*b + r*c, 2*c = -4*b - 6. Solve 3*f + 15 = -b for f.
-5
Suppose -5*g = -8*g + 9. Solve x + 6 = g*x for x.
3
Suppose 0*i + 12 = i. Let w = 22 - i. Let u be (-1 - -3)*25/w. Solve -4*p - 25 = -u for p.
-5
Let c be (4/(-5))/((-8)/100). Suppose j = 2*j - c. Solve -4*z = -j - 10 for z.
5
Suppose 0 = -4*w + 2*w + 8. Suppose 0 = 5*d + 5*s + 20 + 5, w*d - 2*s - 10 = 0. Solve d*i = -i + 2 for i.
2
Suppose -3*a = 2*a - x - 10, -4*a - x + 8 = 0. Solve p = -a*p - 6 for p.
-2
Let j be (6/(-9))/(6/(-9)). Let i be -2*j + -1 + 5. Solve 0 = i*u - 5*u for u.
0
Let m be ((-12)/(-4) + -2)/1. Let i be (5 + m + -4)*1. Solve 0 = -i*p - 2*p for p.
0
Let k be (16/(-12))/((-1)/3). Suppose 3*t + k*u - 1 = 0, 0*t + u - 4 = -2*t. Solve -t*z = -2*z - 1 for z.
1
Let j(i) = 2 + 0*i - i**3 - 6*i**2 + 8*i + 5. Let q = 0 - 7. Let x be j(q). Solve x = -u - 0*u for u.
0
Let g(s) = s**3 - 8*s**2 - 7*s - 11. Let b be g(9). Suppose -3*v + 51 - 3 = 0. Suppose t + b*c = 2*c + v, 3*t = 3*c + 12. Solve t = 5*y - 4 for y.
2
Let f = 2 + -1. Let q be (2 - f)/(2/6). Solve q*h + 2 = -1 for h.
-1
Suppose -4*i + 30 = 3*x - 14, 2*i - 5*x = -4. Suppose y - i = -4. Solve 0 = -y*c + 3*c + 1 for c.
1
Let t(r) = r**3 + r**2 - r + 2. Suppose 2*w + 4 = -0*w. Let c be t(w). Solve z + 3 = -c*z for z.
-3
Let i = 2 + 3. Suppose i*q - 1 = -4*k, 0*k + k = -q + 1. Suppose -4*h = -8, 5 = -k*x + 4*h + 13. Solve u - 1 = -x for u.
-3
Suppose -h + 15 = 5*p + 2*h, 0 = 5*p + 4*h - 20. Let l = p - -6. Let g be (30/24)/((-1)/(-8)). Solve l*k = k + g for k.
2
Suppose 5*y = y + 12. Solve y*u = 9 + 3 for u.
4
Let a = -15 - -23. Suppose 4*h - 26 = 2*w, -5*h + a = -4*w - 29. Let q = 19 + -8. Solve h*i - 4 = q for i.
3
Let b be (8/10)/(2/(-15)). Let n(k) = k**2 + 5*k - 1. Let v be n(b). Solve 4*q + v = -q for q.
-1
Suppose -4*h + 2 + 14 = 0. Let t(i) = i**2 - 9*i - 4. Let s(f) = 3*f**2 - 26*f - 11. Let j(l) = 4*s(l) - 11*t(l). Let d be j(6). Solve -h*q + d - 14 = 0 for q.
-2
Suppose -8*z = -4*z - 92. Let g = z + -15. Let i be 12/(-18) + g/3. Solve -5*y + 12 = i for y.
2
Let i be (6/7)/((20/(-14))/(-5)). Solve 0 = -i*p + 1 - 16 for p.
-5
Let s be ((-1)/(-2))/(2/24). Let r be 8/12 + 14/s. Solve 10 - 4 = r*p for p.
2
Suppose 6*j - 5*y = 4*j + 8, j + 5*y = 4. Solve -p + 2*p - j = 0 for p.
4
Let c be (-3 - -5)/(4/(-14)). Let j = 19 + -30. Let w = c - j. Solve 0 = -0*p + w*p + 8 for p.
-2
Let x(o) = -2*o - 9. Let l be x(-6). Let g be l + 0 - (-2 + 1). Solve 0 = h + 7 - g for h.
-3
Suppose 3*d = 6 - 0. Suppose 0 = g + 4*f - 22, -3*f + f + 16 = 3*g. Solve d*s - 4 = -g*s for s.
1
Suppose -2*u + 2 = -2*v, -5*u + 7 = -3*u - v. Suppose -3*q = 3*r + 9, -r = 6 - 2. Let b be q/2 + (-3)/u. Solve b = -4*l + 6*l for l.
0
Let p(g) = -3*g**2 + 4*g - 4. Let v(i) = 4*i**2 - 4*i + 5. Let o(n) = -5*p(n) - 4*v(n). Let a = 4 + -6. Let q be o(a). Solve q*w + 3 = -1 for w.
-1
Let z be 5 + 2*-1 + 2. Suppose 2*y - m = 5, -5 = 2*m + z. Suppose i + y = 2. Solve 0 = i*p - 0 + 8 for p.
-4
Let x(o) = o**2 - 7*o + 4. Let j be x(6). Let c = j - -5. Let n(g) = -g - 4. Let u be n(-6). Solve u + c = 5*y for y.
1
Let s be 1*6*2/4. Suppose -4*t + s = r, -t = -4*t - 3*r - 9. Solve -g = -2*g - t for g.
-2
Suppose -4*z = -z. Suppose 0 = -2*i - 2*h + 2, 5*h = 4*i - 5 + 10. Suppose 4*j - 14 = -3*m - i*m, -j = -2*m + 2. Solve z = -x + j + 2 for x.
4
Suppose 0 = -4*d + 16, 3*d - 2*d - 18 = -2*g. Let z(v) = -2*v**3 + v + 3. Let q be z(0). Solve 2*l - g = q for l.
5
Suppose -2 = 2*s - 8. Suppose j = -5, -4*j - 6 = p - 2*j. Suppose 4*g = p*o - g - 26, o - 12 = 4*g. Solve -s*k + 3 = -o*k for k.
-3
Let z(u) = 3*u - 10. Let n be z(7). Let s = 15 - n. Suppose s*y = 11 - 3. Solve -y*t = t + 6 for t.
-2
Let h be (2 - (1 - -1)) + 2. Suppose -h*u + 0


 Factor y(r).
3*r**2*(r - 2)*(2*r + 1)/4
Factor -132*z**3 - 54*z - 56*z**2 - 96*z**2 - 33*z**2 - 40*z**2 - 21*z**4.
-3*z*(z + 3)**2*(7*z + 2)
Let f be ((-10260)/(-96))/(-19) - -6. Let n(i) be the first derivative of 10 + 3/10*i**5 + 0*i + f*i**2 - 17/24*i**3 - 31/32*i**4. Let n(w) = 0. Calculate w.
-2/3, 0, 1/4, 3
Let b(c) be the third derivative of c**8/2520 - c**7/315 + c**6/225 - 60*c**2. Factor b(x).
2*x**3*(x - 4)*(x - 1)/15
Let u(d) be the first derivative of 0*d**2 + 0*d**3 + 1/54*d**4 - 3 + d. Let s(k) be the first derivative of u(k). Solve s(b) = 0.
0
Let m(x) = x**3 - 12*x**2 + x - 11. Let d be m(12). Let o be 8/16 + (4 - 3 - d). Solve 2 + 0*y - o*y**2 = 0 for y.
-2, 2
Let j = -13/5 + 67/20. Let b be (-3*(-12)/8 - 3)/((-30)/(-60)). Factor 1/4 + j*a + 1/4*a**b + 3/4*a**2.
(a + 1)**3/4
Let u(k) be the third derivative of 0*k**3 - 8*k**2 + 0 + 1/120*k**6 + 0*k + 1/24*k**4 + 1/30*k**5. Find w, given that u(w) = 0.
-1, 0
Let k(d) be the first derivative of 5/2*d**4 + d**5 - 5*d**2 + 0*d + 25 - 5/3*d**3. Factor k(m).
5*m*(m - 1)*(m + 1)*(m + 2)
Let u(n) be the first derivative of n**4 - 124*n**3/3 + 510*n**2 - 900*n - 73. Let u(q) = 0. What is q?
1, 15
Let u = 4330 + -4328. Factor -3 + 1/2*q + 1/2*q**u.
(q - 2)*(q + 3)/2
Let l = -116 + 118. What is k in 183*k - k**5 - 183*k - l*k**4 - k**3 = 0?
-1, 0
Suppose -2*t - 16*t**2 - 482*t**3 - 2*t + 12*t**5 + 16*t**4 + 474*t**3 = 0. What is t?
-1, -1/3, 0, 1
Suppose -907*v - 15 = -912*v. Factor -9/7*x**2 + 0*x + 0 - 12/7*x**v - 3/7*x**4.
-3*x**2*(x + 1)*(x + 3)/7
Let a(q) be the first derivative of -q**4 - 20*q**3/3 - 12*q**2 - 18. Find x such that a(x) = 0.
-3, -2, 0
Factor 568*t**3 + 82*t**2 - 619*t**3 - 11*t - 25*t**2 + 1 + 62*t - 55 - 3*t**4.
-3*(t - 1)**2*(t + 1)*(t + 18)
Factor 13/3 + 17/2*a + 4*a**2 - 1/6*a**3.
-(a - 26)*(a + 1)**2/6
Let b(q) be the second derivative of 0 + 7*q + 46/35*q**6 - 6/49*q**7 - 89/21*q**4 - 23/7*q**5 - 32/7*q**2 + 176/21*q**3. Determine n, given that b(n) = 0.
-1, 1/3, 4
Let w(k) be the third derivative of -k**8/1260 - k**7/180 + k**6/90 - 2*k**5/5 - 16*k**2. Let n(d) be the third derivative of w(d). Factor n(i).
-4*(i + 2)*(4*i - 1)
Let y(r) be the third derivative of r**9/15120 - r**8/1680 + r**7/420 - r**6/180 + 7*r**5/30 - 17*r**2. Let w(k) be the third derivative of y(k). Factor w(q).
4*(q - 1)**3
Suppose -3*y = 5 - 14. Suppose -y*u + 3*g + 15 = 0, -2*u + 5*g + 13 = 2*g. Suppose 2/11 - 2/11*c**u + 2/11*c**3 - 2/11*c = 0. Calculate c.
-1, 1
Let q = 105/4 - 25. Let u = -257 + 1035/4. Factor -1/2 + u*g**2 - q*g.
(g - 1)*(7*g + 2)/4
Suppose 520/3*s**2 + 8450/3*s**3 + 0 + 8/3*s = 0. Calculate s.
-2/65, 0
Let n(k) be the first derivative of 1/2*k**3 + 1/4*k**4 - 21 + 1/4*k**2 + 0*k. Suppose n(f) = 0. Calculate f.
-1, -1/2, 0
Suppose 14 = 5*p - 1. Let q be ((-9)/(-12)*4)/(3/2). What is r in -p*r - 3*r - 6*r**2 - q - r**3 - r**3 = 0?
-1
Let d(b) = -b**2 - 10*b - 18. Let u be d(-7). Let u*w**3 - 16*w - 95*w**2 - 4*w**3 + 103*w**2 = 0. Calculate w.
0, 4
Suppose 5*f + 21 = -4*x, 2*f + 15 = 7*f - 5*x. Let d be ((-5)/9)/(2/(-6)) + f. Let 4*a + d*a**2 + 6 = 0. What is a?
-3
Let c(t) be the second derivative of -t**7/315 - t**6/225 + t**5/150 + t**4/90 - 3*t + 5. Factor c(p).
-2*p**2*(p - 1)*(p + 1)**2/15
Let q = -141 - -144. Let -20 - 15*f**2 + 5/2*f**q + 30*f = 0. What is f?
2
Let g = -18698 - -18698. Suppose g*n - 2/9*n**2 + 2/9 = 0. Calculate n.
-1, 1
Let n(g) = 9*g**2 + 3*g + 1. Let a(v) = 17*v**2 + 6*v + 1. Let l(s) = 4*a(s) - 7*n(s). Let u(i) = -i. Let r(d) = -l(d) - 5*u(d). Factor r(f).
-(f - 1)*(5*f + 3)
Let n be -1*(4 - (-24)/(-3)). Suppose 2*k + n*a = 4*k - 16, -3*k = 5*a + 9. Factor -4*y + y**k + 3*y**2 - 9*y**2 + 7*y**2 - 6.
2*(y - 3)*(y + 1)
Let m be 10/(-195) + -5*(-96)/234. Suppose 5/3 - 1/3*v**m + 4/3*v = 0. What is v?
-1, 5
Let t = -18 - -21. Suppose b = i + 4*i - 32, 3*b + 24 = t*i. Suppose -13*o - i - 12*o - 14 - 5*o**2 = 0. What is o?
-4, -1
Factor -12*a + 2*a**5 + 3*a**3 + 16*a**2 - 3*a**5 - 86*a**4 + 80*a**4.
-a*(a - 1)**2*(a + 2)*(a + 6)
Factor -2 + 0 + 2*v**3 + 25*v + 2*v**2 + 31*v - 58*v.
2*(v - 1)*(v + 1)**2
Let d(z) be the first derivative of 5*z**4/4 + 40*z**3 - 135*z**2/2 - 250*z + 109. Suppose d(j) = 0. What is j?
-25, -1, 2
Let j(r) be the second derivative of 0 + 1/90*r**5 + 0*r**3 - 1/54*r**4 + 0*r**2 - 7*r. Let j(f) = 0. Calculate f.
0, 1
Let w(v) be the second derivative of -v**4/30 + 2*v**3/5 - v**2 + 495*v. Factor w(p).
-2*(p - 5)*(p - 1)/5
Let b(z) be the third derivative of 0 + 0*z + 1/84*z**4 - 27*z**2 - 1/420*z**6 + 1/21*z**3 - 1/210*z**5. Factor b(n).
-2*(n - 1)*(n + 1)**2/7
Let r(o) be the second derivative of o**5/150 + o**4/10 + 8*o**3/15 - 14*o**2 + 27*o. Let j(t) be the first derivative of r(t). Find w, given that j(w) = 0.
-4, -2
Let d(k) = -2*k**2 - 860*k + 89892. Let i(y) = -y**2 - 857*y + 89891. Let f(c) = -3*d(c) + 4*i(c). Let f(a) = 0. Calculate a.
212
Let k(z) be the third derivative of 0*z**3 + 2/3*z**4 + 0 + 0*z - 1/30*z**6 + 26*z**2 - 8/105*z**7 + 16/15*z**5. Determine q, given that k(q) = 0.
-2, -1/4, 0, 2
Let a(q) be the third derivative of q**8/336 + q**7/60 + q**6/30 + q**5/40 - 53*q**2. Find p such that a(p) = 0.
-3/2, -1, 0
Let o = 1903 - 1900. Let n(g) be the first derivative of -1/6*g**o - 12 + g**2 - 3/2*g. Factor n(l).
-(l - 3)*(l - 1)/2
Let r(u) = -10*u**2 + 3*u. Let b(j) = -29*j**2 + 8*j. Let l(k) = -k**2 + 5*k. Let g be l(6). Let o(y) = g*b(y) + 17*r(y). Factor o(n).
n*(4*n + 3)
Let z = 8 - 0. Solve -16*v - 14*v + z - 11*v - 52*v**2 - 3*v = 0.
-1, 2/13
Factor 4/7*f + 0*f**3 + 0 + 6/7*f**2 - 2/7*f**4.
-2*f*(f - 2)*(f + 1)**2/7
Suppose 26 = q + 2*f, 4*q - 3*f - 82 = -0*q. Factor 6*t**2 - 11*t + q*t**2 - 8*t**3 + 8 - 2*t - 15*t.
-4*(t - 2)*(t - 1)*(2*t - 1)
Let h be 1*(-76)/(-8)*2*8. Let t = -603/4 + h. Determine i so that t*i**4 + 9/4*i**2 + 3*i**3 + 0 + 1/2*i = 0.
-1, -2/5, 0
Let i = 117 + -86. Let u(j) = j**2 - 33*j + 64. Let z be u(i). Find f, given that 26/3*f - 8/3 + 14/3*f**3 - 2/3*f**4 - 10*f**z = 0.
1, 4
Suppose -3*u = -5*f - 6, 0 = -6*u + 3*u - f + 6. Suppose -2*z - 3*z + l = -21, -3 = 3*l. Let -j**u + 0*j**2 - 12*j + 0*j + z*j**2 + 9 = 0. What is j?
1, 3
Let v(k) be the first derivative of k**6/360 + k**5/30 - 7*k**4/72 + 6*k**2 - 10. Let d(x) be the second derivative of v(x). Let d(q) = 0. Calculate q.
-7, 0, 1
Let r = -4 - -10. Let k be (-7 + -1)*(-3)/r. Factor 0*f**2 - 2*f**2 + k*f**2 - 6*f.
2*f*(f - 3)
Let f(k) = k**3 - 2*k**2 - 12*k. Let i(t) = t - 3. Let z be i(1). Let p(c) = c. Let w(n) = z*f(n) - 18*p(n). Factor w(g).
-2*g*(g - 3)*(g + 1)
Let x(y) = -y**3 + 19*y**2 - 18*y + 3. Let h be x(18). Let m(c) be the first derivative of -5 + 0*c**2 - 1/3*c**h + c. Factor m(v).
-(v - 1)*(v + 1)
Suppose -4*o + 120 = 4*i, -i + 14 = -3*o - 16. Let l be 1 - 2 - i/(-12). Factor -1 - l*y - 1/2*y**2.
-(y + 1)*(y + 2)/2
Let t(b) be the second derivative of -2*b**6/15 + b**4/3 + 4*b + 1. Suppose t(y) = 0. What is y?
-1, 0, 1
Let m(w) = -10*w**4 + 4*w**3 - 6*w**2 - 16*w - 2. Let v(y) = 8*y**4 - 4*y**3 + 6*y**2 + 16*y + 3. Let s(n) = 5*m(n) + 6*v(n). Factor s(l).
-2*(l - 2)*(l + 1)**2*(l + 2)
Suppose 0*h**3 - 1/5*h**4 + 12/5*h**2 + 0 - 16/5*h = 0. Calculate h.
-4, 0, 2
Suppose -4/3 + 8*s - 11/3*s**2 = 0. What is s?
2/11, 2
Let c(f) = -f + 14. Suppose -5*d + 37 = -r - 2*r, d + 3*r + 7 = 0. Let w be c(d). Solve w*t**4 - 2*t - 1 + 5*t**3 - 3*t**3 - 8*t**4 = 0.
-1, 1
Let g(h) be the first derivative of -2*h**3/9 - 2*h**2 - 10*h/3 + 58. Factor g(w).
-2*(w + 1)*(w + 5)/3
Solve 0*q + 2/5*q**2 + 0 - 1/5*q**3 - 1/5*q**4 = 0.
-2, 0, 1
Suppose -34*n - 25 = -36*n + 3*r, -2*n - 2*r = 0. Factor -1/4*j - 1/2*j**2 + 0 + 1/2*j**4 + 0*j**3 + 1/4*j**n.
j*(j - 1)*(j + 1)**3/4
Factor 10 - 2*n**3 + 2*n - 6*n**2 - 18*n**2 + 14*n**2.
-2*(n - 1)*(n + 1)*(n + 5)
Let r be 5 + -6 - (-1030 - -3). Factor -r*z + 1026*z + 2*z**2 - 2*z**4.
-2*z**2*(z - 1)*(z + 1)
Let l(z) be the first derivative of 0*z + 25/3*z**3 + 8 - 15/2*z**4 - 15/4*z**2 - 5/12*z**6 + 3*z**5. Find b such that l(b) = 0.
0, 1, 3
Let d(z) be the second derivative of -z**5/15 - z**2/2 + 3*z. Let l(f) be the first derivative of d(f). What is i in l(i) = 0?
0
Let p(j) be the third derivative of -j**5/105 + 11*j**4/14 + 68*j**3/21 - 3*j**2 - 15*j. Factor p(x).
-4*(x - 34)*


*w + 4*w
What is the third derivative of -61916*c**6 - 3*c**4 + 11*c**3 - c**2 + 38770718?
-7429920*c**3 - 72*c + 66
Differentiate -7*i*r**2*y - 275064*i*y - 5143*r**2*y + 57*r**2 + 2*r*y with respect to i.
-7*r**2*y - 275064*y
Find the third derivative of -20927359*x**5 + 1942*x**2 - 8*x + 437.
-1255641540*x**2
What is the second derivative of 73*k**3 + 3716*k**2 - 10*k - 200952?
438*k + 7432
Find the first derivative of 264*t*z**2 - 724932*t*z + 55901199*t wrt z.
528*t*z - 724932*t
Find the second derivative of 573*r**3 + 18003*r**2 + 1880*r - 14294 wrt r.
3438*r + 36006
Differentiate -377284202*m**2 + 2*m - 27536324 with respect to m.
-754568404*m + 2
What is the first derivative of 12667706*b**2 - b - 16431642?
25335412*b - 1
What is the third derivative of -556*a**3*k**2 + 21*a**3*k + 400*a**3 - 3*a**2*k + a**2 - a*k**2 + 2*a*k - 5*k**2 - 6625*k wrt a?
-3336*k**2 + 126*k + 2400
What is the second derivative of 25126536*b**4 - 3*b + 49792709 wrt b?
301518432*b**2
Find the first derivative of -3865498*f + 13546528.
-3865498
Find the first derivative of j**4 - 10838662*j**3 - 29212071 wrt j.
4*j**3 - 32515986*j**2
Find the second derivative of 4481912*k**3*u**2 + 511*k**3 - 28943*k*u wrt u.
8963824*k**3
What is the third derivative of -16981221*y**3 + 367*y**2 - 146*y + 4?
-101887326
Find the second derivative of -1417*n**2*y**2 + 4*n**2*y - 415*n**2 + 6*n*y - 44*n + 618*y**2 + 2*y wrt n.
-2834*y**2 + 8*y - 830
Find the third derivative of -154133*s**5 - 119*s**4 - 9*s**2 - 93*s - 756 wrt s.
-9247980*s**2 - 2856*s
What is the third derivative of -42811683*j**5 - 4*j**2 + 14*j - 63168 wrt j?
-2568700980*j**2
What is the third derivative of b**3*h*t**3 + b**3*h - b*h - 8185*b*t**3 - 3*b*t - 14*h**2*t**3 + h**2*t**2 - 62352*t**2 wrt t?
6*b**3*h - 49110*b - 84*h**2
What is the derivative of -5038214*i*l*p - 5*i*l + 42*i - 3*l*p + 10*l - 168 wrt p?
-5038214*i*l - 3*l
What is the third derivative of -4371615*j**4 + 4*j**2 + 2*j + 61208 wrt j?
-104918760*j
Differentiate 3728665*v + 3017559 wrt v.
3728665
What is the second derivative of -8*o**2*q**2 + 293920*o**2*q + 3*o*q**2 - 3*o*q - 6*o + 308*q**2 - 22*q wrt o?
-16*q**2 + 587840*q
What is the first derivative of 5*i*r**2 - 5*i*r + 11*i + 10222344*r**2 - 750018 wrt r?
10*i*r - 5*i + 20444688*r
What is the derivative of 5*x**3 + 881*x**2 - 239*x - 8245437 wrt x?
15*x**2 + 1762*x - 239
Find the third derivative of a**6*v + 4401958*a**3*v - 5*a**2*v + a**2 + 2753*a*v + 20*v wrt a.
120*a**3*v + 26411748*v
What is the third derivative of 765080*g**5*o + 16*g**3 + 71*g**2*o + 2*g**2 + g - 112936*o wrt g?
45904800*g**2*o + 96
What is the third derivative of -158871459*u**4 - 16189*u**2 + u - 467?
-3812915016*u
What is the derivative of 629182*d**4 - 4678970 wrt d?
2516728*d**3
Find the second derivative of 1823*r**5 + 803*r**4 + 1656*r + 2409 wrt r.
36460*r**3 + 9636*r**2
Find the first derivative of -49*a**2*k*q*x + 49*a**2*k*q - a**2*q + 185504*a*k*q*x - 3*a*k*q + 5*a*k - 3*a*q + 2*k*q - 46*k wrt x.
-49*a**2*k*q + 185504*a*k*q
What is the third derivative of 1562*h*q*r**3 - 41*h*q*r**2 + 1996*h*r**3 + 7*h*r**2 - 71*h*r + 2*q*r - 5*r**2 wrt r?
9372*h*q + 11976*h
Find the second derivative of -17205*d**3*i**3 - 2495*d**3*i + 3535*d**2*i**3 - 9022*d*i wrt i.
-103230*d**3*i + 21210*d**2*i
What is the third derivative of 527101*a**3*g**4 + 537862*a**3*g**2 - 386*a**2*g**2 - 91*g**4 wrt g?
12650424*a**3*g - 2184*g
What is the first derivative of -16667471*h**2 + 26991897?
-33334942*h
What is the derivative of 4*w*x**2 + 210*w*x - 6990780*w - 1341*x**4 wrt x?
8*w*x + 210*w - 5364*x**3
What is the second derivative of 692*f**2*q - 50204*f**2 - 220*f*q - f + 12205*q wrt f?
1384*q - 100408
Find the second derivative of -64077421*a**2 + 67935493*a.
-128154842
Find the third derivative of 16586*t**2*v**3 + 153*t**2*v**2 - 184569*t**2*v - 197*v**3 wrt v.
99516*t**2 - 1182
What is the first derivative of -3*m**3 + 61666*m**2 + 25*m - 110665372?
-9*m**2 + 123332*m + 25
What is the first derivative of 34532349*s + 1554472 wrt s?
34532349
Differentiate 30*s*y**2 + 1899700*s*y + 2*s + 203550525*y**2 wrt s.
30*y**2 + 1899700*y + 2
Differentiate -110627601*r**4 - 21025409 with respect to r.
-442510404*r**3
Find the third derivative of -206*q**6 - 11*q**5 - 3*q**3 + 79141*q**2 + 18*q.
-24720*q**3 - 660*q**2 - 18
Find the third derivative of 6277814*g**3 + 12505*g**2 - 1 wrt g.
37666884
What is the second derivative of 32*t*x**5 + t*x**2 - 3*t*x - 8*t + 232534*x**3 - 3*x + 665299 wrt x?
640*t*x**3 + 2*t + 1395204*x
Find the second derivative of 4*z**4 + 3204*z**3 - 217*z**2 + 15541899*z.
48*z**2 + 19224*z - 434
Find the third derivative of 409444825*p**3 - 179814*p**2 - 576.
2456668950
What is the second derivative of 18887*y**4 + 10294*y**2 - 18236443*y + 3 wrt y?
226644*y**2 + 20588
What is the third derivative of 523144*i*z**3 + 38*i*z**2 + 8*z**3 - 18774*z**2 wrt z?
3138864*i + 48
Find the second derivative of 7203*g**3*q + g**3 - 160*g**2*q - 3*g**2 + 20878086*g*q wrt g.
43218*g*q + 6*g - 320*q - 6
What is the first derivative of 770716994*i**4 + 1137293621 wrt i?
3082867976*i**3
Find the second derivative of -3*r**4 + 2861449*r**3 - 13*r**2 + 301987889*r.
-36*r**2 + 17168694*r - 26
What is the third derivative of -6097848*n**4 + 5318978*n**2?
-146348352*n
What is the derivative of -a**3*o - 154066*a**3 - 54*a**2 + 16*a*o - 221264*o wrt o?
-a**3 + 16*a - 221264
What is the third derivative of -26831203*a**3 - 126*a**2 + 84440?
-160987218
What is the second derivative of 253*h*k**2*v**2 + 16*h*k**2*v - 2*h*v + k**2*v + 24300*k*v**2 - 73751 wrt v?
506*h*k**2 + 48600*k
Find the first derivative of 15*s**4 - 542*s**3 + 5*s**2 - 3*s + 5951461 wrt s.
60*s**3 - 1626*s**2 + 10*s - 3
Find the third derivative of 96*p**6 - p**5 + 6942*p**3 + 1014*p**2 + 3*p - 127.
11520*p**3 - 60*p**2 + 41652
What is the third derivative of -22224*c**2*g**3 + c**2*g**2 - 337*c**2 - 17*g**4 - g**3 + 406*g wrt g?
-133344*c**2 - 408*g - 6
Find the third derivative of 66*h**3*x*z**3 + 728*h**3*z + 9404*h**2*z**3 + 12*x*z**3 + 25*x*z**2 - 579*x*z wrt z.
396*h**3*x + 56424*h**2 + 72*x
Find the third derivative of 129955235*a**3*j - a**2*j + a**2 + 10397*a*j - 6*a - 21*j wrt a.
779731410*j
What is the third derivative of -448*z**4 + 5998*z**3 + 1225*z**2 - 1761?
-10752*z + 35988
What is the third derivative of 7*g**2*q**3 + g**2*q + 33574*g*q**2 - 5080293*q**3 + 603*q**2 wrt q?
42*g**2 - 30481758
What is the second derivative of 4*h*m**2*s**2 + 7*h*m*s**3 + 2346*h*s**2 - h*s - 12147*m**3 - 16*m**2*s**3 - 13*m*s + 2*m wrt m?
8*h*s**2 - 72882*m - 32*s**3
What is the second derivative of -12483186*i**2*s**2 + 4*i**2 + 3*i*s**2 + 13066730*i - s wrt i?
-24966372*s**2 + 8
Find the third derivative of 74616550*k**3 - 256*k**2 + 22*k - 34.
447699300
Find the first derivative of 1770*g**2*i - 1222*g**2 + g*i + g + 157421444*i wrt g.
3540*g*i - 2444*g + i + 1
What is the second derivative of -34464323*s**4 + 1102005*s + 34?
-413571876*s**2
What is the second derivative of 16059476*r**2 + 4345951*r + 1 wrt r?
32118952
What is the third derivative of -929758*i**4 + 25201*i**2 - 4*i + 2 wrt i?
-22314192*i
What is the third derivative of -983426773*l**4 + 39895807*l**2?
-23602242552*l
What is the third derivative of -219682731*l**3 - 1487480*l**2 - 20*l wrt l?
-1318096386
Find the third derivative of b*q**4 + 15978470*b*q**3 - 801*b*q**2 - 12*b + 80*q**2 wrt q.
24*b*q + 95870820*b
Differentiate 58791900*n**3 - 58312237.
176375700*n**2
Find the third derivative of -119*n**3*w**3 + 14781911*n**3*w**2 + 370*n*w**4 - n*w**2 - 2215*w**4 + 10*w wrt w.
-714*n**3 + 8880*n*w - 53160*w
What is the second derivative of 4*h*l*x**4 - h*l*x + 3153*h*l - 706686*h*x**4 + 7*l*x + 7*l wrt x?
48*h*l*x**2 - 8480232*h*x**2
Find the first derivative of 247*a**4 + 3*a**3 + 12829*a**2 + 19440769.
988*a**3 + 9*a**2 + 25658*a
Find the second derivative of -200855579*v**4 + 895509*v + 121 wrt v.
-2410266948*v**2
Differentiate 263*a**4 - 10*a**3 - 1550*a - 5082608.
1052*a**3 - 30*a**2 - 1550
Find the third derivative of -413762279*y**6 + 39*y**2 + 77*y - 1198 wrt y.
-49651473480*y**3
Find the third derivative of -334628*k**3*s**3*z**2 + 67*k**3*s**3 - 3660*k**3*s*z**2 + 2*k**3*s + k**2*s


okokook.
12/55
What is prob of sequence igg when three letters picked without replacement from ssssggiigsgs?
1/55
Two letters picked without replacement from {u: 1, h: 2, j: 1, i: 1, q: 4}. What is prob of sequence ui?
1/72
Calculate prob of sequence ba when two letters picked without replacement from {d: 7, a: 8, b: 1, z: 2, m: 1}.
4/171
Three letters picked without replacement from wgwcffccccggfccpcc. Give prob of sequence fff.
1/816
What is prob of sequence uuu when three letters picked without replacement from {k: 1, u: 3}?
1/4
What is prob of sequence bb when two letters picked without replacement from bbbbbbbqbbbbbqbbqbbb?
68/95
What is prob of sequence bbb when three letters picked without replacement from bnbbbnbb?
5/14
What is prob of sequence ctt when three letters picked without replacement from {t: 6, f: 1, c: 1, h: 1}?
5/84
Two letters picked without replacement from {x: 1, g: 3, m: 1, d: 1, h: 1}. What is prob of sequence hx?
1/42
Four letters picked without replacement from {z: 3, o: 2, q: 6, j: 2, l: 1, d: 4}. Give prob of sequence jzjz.
1/6120
Four letters picked without replacement from xxhxxhxxxhkkkxhh. What is prob of sequence khkk?
1/1456
Three letters picked without replacement from {n: 1, u: 7, d: 12}. Give prob of sequence dud.
77/570
Calculate prob of sequence zzz when three letters picked without replacement from zvzvzzzzzz.
7/15
What is prob of sequence llud when four letters picked without replacement from {u: 4, d: 1, l: 3}?
1/70
Four letters picked without replacement from {k: 1, b: 1, j: 3, l: 2, z: 3}. Give prob of sequence bljj.
1/420
Two letters picked without replacement from {d: 2, j: 8, o: 1, a: 1, r: 1, z: 1}. What is prob of sequence ro?
1/182
Three letters picked without replacement from {z: 1, v: 6, p: 2, m: 3}. Give prob of sequence vmp.
3/110
Three letters picked without replacement from cckskkkooooocooksoos. What is prob of sequence ooo?
7/95
What is prob of sequence ex when two letters picked without replacement from {d: 5, e: 1, x: 5}?
1/22
Calculate prob of sequence htt when three letters picked without replacement from tdtddttddth.
2/99
Calculate prob of sequence he when two letters picked without replacement from {f: 3, h: 2, e: 3, u: 3, l: 5}.
1/40
Two letters picked without replacement from bbiiibisib. What is prob of sequence is?
1/18
Two letters picked without replacement from {t: 6, n: 3, u: 2, j: 1, z: 1}. Give prob of sequence tj.
1/26
Two letters picked without replacement from ngbnlnqbznnnznn. What is prob of sequence qn?
4/105
Four letters picked without replacement from {m: 3, r: 7, j: 3}. Give prob of sequence jmmm.
3/2860
Two letters picked without replacement from xiiiix. Give prob of sequence ii.
2/5
Three letters picked without replacement from uusuxxuxuuuururuuuu. Give prob of sequence rus.
13/2907
Three letters picked without replacement from {k: 4, l: 6, a: 9}. What is prob of sequence kll?
20/969
Three letters picked without replacement from {k: 2, v: 4, h: 3, l: 1, q: 1, u: 4}. What is prob of sequence uul?
2/455
What is prob of sequence wcrt when four letters picked without replacement from rscntwr?
1/420
Four letters picked without replacement from tqqtqttxqq. Give prob of sequence qqqx.
1/84
What is prob of sequence vgg when three letters picked without replacement from gvvggvggvvgvvvgv?
9/80
What is prob of sequence hhu when three letters picked without replacement from hhhhhhhhhhhhuhhhhh?
1/18
Calculate prob of sequence vhjj when four letters picked without replacement from jhvjvvohjvvjv.
6/715
Three letters picked without replacement from {d: 1, h: 1, c: 1, q: 5, m: 1}. Give prob of sequence mcq.
5/504
What is prob of sequence qzqz when four letters picked without replacement from {o: 5, z: 4, q: 2}?
1/330
Two letters picked without replacement from oyoyocrcoccyccy. What is prob of sequence oc?
4/35
Four letters picked without replacement from vmxvvmvvvxxxmm. Give prob of sequence mvvv.
20/1001
Four letters picked without replacement from {n: 3, z: 5, j: 1, f: 1, a: 2}. What is prob of sequence zzfa?
1/297
Four letters picked without replacement from hnheehnnenihhihhhnhh. What is prob of sequence hiin?
5/5814
Three letters picked without replacement from {c: 1, j: 2}. Give prob of sequence jcj.
1/3
What is prob of sequence jjj when three letters picked without replacement from {j: 3, t: 5}?
1/56
What is prob of sequence ppp when three letters picked without replacement from yppppy?
1/5
Calculate prob of sequence vtv when three letters picked without replacement from vvtt.
1/6
Three letters picked without replacement from iheeeeeephih. Give prob of sequence eeh.
3/44
What is prob of sequence fz when two letters picked without replacement from {z: 8, f: 1, j: 6}?
4/105
What is prob of sequence iti when three letters picked without replacement from {i: 4, t: 2}?
1/5
What is prob of sequence xx when two letters picked without replacement from {h: 1, q: 1, x: 7}?
7/12
What is prob of sequence te when two letters picked without replacement from {w: 2, e: 1, z: 1, t: 1, y: 2}?
1/42
Two letters picked without replacement from jjip. Give prob of sequence ij.
1/6
What is prob of sequence nnnv when four letters picked without replacement from vvnnvvnv?
1/56
Two letters picked without replacement from uzuuh. Give prob of sequence zu.
3/20
Four letters picked without replacement from {u: 5, o: 2, y: 5}. What is prob of sequence yyoo?
1/297
Two letters picked without replacement from kkgahgkgdahqakkgkh. Give prob of sequence kg.
4/51
Two letters picked without replacement from jtjt. Give prob of sequence tt.
1/6
Calculate prob of sequence vrt when three letters picked without replacement from aatartatvarvrtrv.
1/70
What is prob of sequence gg when two letters picked without replacement from ggggg?
1
What is prob of sequence gcml when four letters picked without replacement from {v: 1, m: 1, g: 2, i: 1, c: 1, l: 2}?
1/420
Calculate prob of sequence ghhh when four letters picked without replacement from gghggggggghggghhggg.
5/1292
Two letters picked without replacement from dbdbbbbbbtdttdbdd. Give prob of sequence bb.
7/34
Four letters picked without replacement from {a: 1, t: 1, e: 3, f: 1, i: 6}. What is prob of sequence ieie?
1/66
Two letters picked without replacement from {i: 3, g: 1}. What is prob of sequence gi?
1/4
Four letters picked without replacement from tctbxrtfffbxxcfxff. Give prob of sequence cfxb.
1/765
What is prob of sequence wk when two letters picked without replacement from kwwwwwwwkw?
8/45
Four letters picked without replacement from {e: 1, s: 4, h: 1, u: 1, v: 1, r: 5}. Give prob of sequence svse.
1/1430
Calculate prob of sequence jqtt when four letters picked without replacement from {q: 1, h: 4, f: 1, t: 4, a: 2, j: 6}.
1/1020
What is prob of sequence br when two letters picked without replacement from {r: 4, y: 2, b: 4}?
8/45
Two letters picked without replacement from {z: 1, q: 2, s: 2, d: 1, l: 2, y: 1}. What is prob of sequence sz?
1/36
Three letters picked without replacement from ddvdtttddvdd. What is prob of sequence dtd?
21/220
Three letters picked without replacement from {v: 8, h: 6, b: 3, t: 2}. Give prob of sequence vvh.
56/969
What is prob of sequence ti when two letters picked without replacement from {n: 1, m: 3, y: 1, i: 5, t: 2}?
5/66
Four letters picked without replacement from {w: 5, l: 7, g: 2, j: 3, q: 3}. What is prob of sequence wjqj?
1/1292
Four letters picked without replacement from {a: 4, v: 3, h: 2, i: 1, z: 1}. Give prob of sequence hhva.
1/330
Three letters picked without replacement from {j: 3, u: 6, k: 1, w: 3}. Give prob of sequence jju.
3/143
Four letters picked without replacement from aaaaabba. Give prob of sequence abaa.
1/7
Calculate prob of sequence mh when two letters picked without replacement from {i: 1, u: 1, h: 1, w: 4, m: 1}.
1/56
What is prob of sequence lbgl when four letters picked without replacement from bllugublg?
1/126
Two letters picked without replacement from tmwdtdmttttmwtmwtwm. What is prob of sequence wt?
16/171
Calculate prob of sequence zp when two letters picked without replacement from zzggpppgp.
1/9
Calculate prob of sequence kg when two letters picked without replacement from ggkrrgkrrkrgkr.