9)/(-12))?
23
Let q(h) be the first derivative of 15*h**2/2 - 11*h + 15. Let t be q(1). Let o(n) = 4*n**2 + 5*n - 6. What is the remainder when o(t) is divided by 27?
24
Let k(y) = y**3 + 497*y - 497*y + 12*y**2 + 20. Calculate the remainder when k(-10) is divided by 16.
12
Calculate the remainder when (90/(-4))/(318/(-3392)) is divided by 14.
2
Suppose 13*g + 17 = 82. Suppose -t + g*l = -5*t + 577, -5*t + 717 = 2*l. Suppose -80 = -4*r + 64. What is the remainder when t is divided by r?
35
Suppose -1517 = -3*c - 170. Suppose -3*y - 119 + c = 0. Suppose 0 = -13*j + 15*j - y. What is the remainder when j is divided by 7?
6
Let s = 69 + -61. Suppose -s*w - w = -261. Let y(d) = -2*d + 1. Calculate the remainder when w is divided by y(-5).
7
Let z = 11895 - 11642. Calculate the remainder when 1023 is divided by z.
11
Suppose 0 = 4*u - 296 - 224. Calculate the remainder when u is divided by 12 - 10 - 60/(-3).
20
Let f(m) = -613*m**3 - m**2 + 3*m + 4. Let z be f(-1). Suppose 610*b = z*b - 9. Calculate the remainder when b is divided by 1.
0
Let u = 11 + -36. Let g(k) = -k**2 - 15*k + 29. Let n be g(u). Calculate the remainder when 3 is divided by n/(-78) + (-2)/(-12).
0
Let g(l) = -l**3 + 19*l**2 + 13 - 140*l + 50*l + 3*l**3 + 57*l. Calculate the remainder when 75 is divided by g(-11).
10
Let y(f) = 5*f**2 + 1. Let u(q) = -q**3 - 25*q**2 - 25*q - 25. Let m be u(-24). Let l(c) = -8*c - 5. What is the remainder when y(-1) is divided by l(m)?
0
Suppose -302*c + 279*c + 105179 = 0. Calculate the remainder when c is divided by 25.
23
Let u be -3 - ((-1)/(-3))/(16/(-336)). Suppose u*k - 187 + 19 = 0. Calculate the remainder when k is divided by 9.
6
Let k = 24678 + -24636. Calculate the remainder when 915 is divided by k.
33
Suppose -96*k + 170*k = 88*k - 98. Calculate the remainder when 1509 is divided by k.
4
Let m(s) = s + 25. Let u be m(-15). Suppose -5*v = -u*v + 65. Calculate the remainder when (-2)/6 + (-687)/(-9) is divided by v.
11
Let j(v) = 59*v - 378. Let f = -16 + 27. What is the remainder when j(8) is divided by 2 - 0 - f*-2?
22
Suppose -15 = -3*k, -5*y + 0*k = k - 330. What is the remainder when (42 - 38) + (1 - (1 - y)) is divided by 25?
19
Suppose 4*g - 6 - 6 = 0. Suppose -s = 4*s + 3*a - 64, -g*s + 4*a = -21. Suppose 180 = -r + s*r. What is the remainder when 71 is divided by r?
17
Calculate the remainder when (4607/(-4))/(-1) - (5 + 646/(-152)) is divided by 45.
26
Let f be (-175)/10*(-2 + (1 - 1)). Suppose -4*i + f = 3*d - 0*i, -3*d = -3*i. What is the remainder when 2 - (0 + 0 + -6) is divided by d?
3
What is the remainder when 731 is divided by (8474/152 - 10)*(-1 + 7/3)?
60
Let a = -3588 + 4939. Calculate the remainder when a is divided by 68.
59
Let z = -21 - -17. Let f = -42 + z. Let g = f - -98. What is the remainder when 309 is divided by g?
49
Let b(r) = r**2 + 44*r - 501. What is the remainder when b(-66) is divided by 191?
187
Let k(c) = 5*c**3 + 3*c**2 - c - 1. Let v = -135 - -136. Calculate the remainder when 17 is divided by k(v).
5
Let n = 947 - 944. Let c(f) = f**2 + f - 2. Let g be c(2). Suppose -3*q - g*t + 93 = -69, 5*q - 241 = n*t. Calculate the remainder when 147 is divided by q.
47
Suppose -4*l + 5*s + 20 = -176, -l - 2*s + 62 = 0. Calculate the remainder when l is divided by (73810/(-16775))/((-1)/5).
10
Suppose 24*c + 335 = 1511. What is the remainder when 1670 is divided by c?
4
Suppose -2*h - 285 = -5*i + 2*i, -5*i + 477 = -4*h. Let j(c) = -c**2 + 5196*c - 41501. What is the remainder when i is divided by j(8)?
0
Suppose 35*b - 4*q + 308 = 40*b, -122 = -2*b - q. What is the remainder when 839 is divided by b?
59
Let b = -22 - -24. Suppose 4*d = -3*p + b*p + 79, 189 = 3*p - 4*d. Let y = p - 58. What is the remainder when 17 is divided by y?
8
Suppose 0 = 50*n - 364 - 336. Calculate the remainder when 142 is divided by n.
2
Suppose 4*n + 296 = 308. Suppose -n*w = -219 + 129. Calculate the remainder when 148 is divided by w.
28
Let r(v) be the third derivative of v**6/120 + v**5/30 - v**4/4 - 5*v**3/6 + 8*v**2 + 3*v. What is the remainder when 41 is divided by r(3)?
19
Suppose -3*s + 132 = 2*a, -2*a - 4*s = -0*a - 128. Let p = -50 + a. Suppose -3*d + 167 = 2*z - 110, 5*d + 106 = z. What is the remainder when z is divided by p?
21
Let u = 178 + -128. Suppose j - 259*v - 24 = -264*v, -2*j + 62 = -4*v. What is the remainder when u is divided by j?
21
Let v(j) = j**3 - 13*j**2 + 12*j - 120. Suppose 577 - 1869 = -4*m. What is the remainder when m is divided by v(13)?
35
Let n = 70 + 32. Let l(y) = 4*y**2 + 19*y - 3. Calculate the remainder when n is divided by l(-6).
21
Suppose 202*j - 17592 = 29676. Calculate the remainder when 1401 is divided by j.
231
Let z(f) = 2*f**2 - 9*f + 8. Let q = 2972 - 2964. Calculate the remainder when z(7) is divided by q.
3
Suppose -98 = -23*r + 109. Let g = 44 + r. Calculate the remainder when g is divided by 13.
1
Suppose -g - 67 = 68*f - 72*f, -3*f + 2*g + 44 = 0. Let k(s) = s**2 + 5*s + 5. What is the remainder when -4 - (f/(-7))/(14/196) is divided by k(-6)?
10
Let l(y) = 16*y + 7. Let v = 595 - 584. Calculate the remainder when l(v) is divided by 31.
28
Calculate the remainder when ((-3)/(15/(-5)))/(3/69) is divided by (-57)/(-38) + (-38)/(-4).
1
Let z be (-1166)/(-99) + (-8)/(-36). What is the remainder when 37 is divided by 30*1*z/36?
7
Let u = -10077 - -16165. What is the remainder when u is divided by 29?
27
Suppose -4*q + 49 = -59. Let v = -220 - -516. What is the remainder when v is divided by q?
26
Suppose 0 = -10*x - 16*x + 104. Let n be (-16)/104 - 245/13. Let o = 53 + n. Calculate the remainder when o is divided by x.
2
Suppose 8*q = -10*q + 2*l + 50672, -2*l - 14077 = -5*q. Calculate the remainder when q is divided by 128.
127
Suppose -5*t - 3*g + 22 = 12, g = 4*t - 8. Let b be -4 + 4 + t + 3. Suppose b*u + 28 = 4*a, 0*a = 2*a - u - 20. What is the remainder when 55 is divided by a?
7
Let c be 3 + ((-35)/1)/5. Let n be 0*c/(-8)*1 - -2. Suppose 304 = 3*w + n*k + 7, -5*k - 15 = 0. What is the remainder when w is divided by 26?
23
Let b(d) = -27*d - 392. Let j(m) = -m**2 + 4*m + 2. Let x be j(4). Suppose 8 = o + z - 10, -x*z = 8. What is the remainder when o is divided by b(-15)?
9
Let b(f) = f**2 - 46*f - 269. Suppose 197 = -3*x + 74. Let h = x + 167. Calculate the remainder when h is divided by b(-6).
40
Suppose 3*b + 143 = -r - 0*b, -3*b = -2*r - 268. Let f = r - -161. Calculate the remainder when 166 is divided by f.
22
Let h(o) = o**3 + 5*o**2 - 17*o - 18. Let a be h(-7). Calculate the remainder when 119 is divided by (a - -2) + 1/((-6)/(-366)).
53
Suppose -3*z + 40 + 22 = -m, 2*z + 5*m - 64 = 0. Suppose -i - z = -3*i. What is the remainder when 31 is divided by i?
9
Suppose -2*j + 162 = 2*n, -5*n = -6 - 19. Suppose -5*a + j = -a. Let m = 1329 - 1292. Calculate the remainder when m is divided by a.
18
Suppose 0 = -4*y + 4, -s - 21 = 4*y - 73. What is the remainder when 353 is divided by s?
17
Let c(p) = 2*p**3 + 4*p**2 + 2*p - 1. Let j be c(-1). Let g(w) = -9*w - 5. Let v be g(j). Suppose n = -v*n + 20. What is the remainder when 12 is divided by n?
0
Suppose 50*y + 10*y = 11040. Calculate the remainder when y is divided by 66.
52
Suppose -9*s + 103 + 1769 = 0. What is the remainder when s is divided by 19?
18
Suppose 3*b - 2*y = 298, -43*b + 38*b - y + 475 = 0. Let o = 35 - 9. Calculate the remainder when b is divided by o.
18
Let n(b) = b**3 - 5*b**2 + 4*b + 5. Suppose 0 = -8*u + 4*u - 72. Let j = 22 + u. Calculate the remainder when n(4) is divided by j.
1
Suppose -3*v - 4*v - 133 = 0. Let d = v + 102. Let h(s) = -s**3 - 5*s**2 + 10*s. Calculate the remainder when d is divided by h(-7).
27
Suppose 13 + 57 = 10*x. Suppose -4*d + h + 53 - x = 0, 5*d + h = 62. What is the remainder when 46 is divided by d?
10
Let x(a) = 3*a**2 - 5*a + 1. Suppose 3*p - 11 = 2*p - 4*u, 2*u - 13 = -3*p. What is the remainder when x(p) is divided by 7?
6
Let m(c) = -c**2 + 80*c - 1136. Suppose 0*s + 4*s - 272 = 0. Calculate the remainder when m(26) is divided by s.
64
Let u = -2770 + 2834. Let o = 58 + -33. Calculate the remainder when u is divided by o.
14
Calculate the remainder when 4788 is divided by (2 - (-13)/(-3))/(28/(-60)).
3
Let k = -72 - -187. Let n = -115 + k. Suppose 0*f +