
17
Let j = 1 + 26. Let v be (1 + -2)*-3 + -1. Suppose -3*a = 3, m - v*a - 78 = -3*a. What is the remainder when m is divided by j?
25
What is the remainder when (-3 - 21/(-9))*10191/(-86) is divided by 46?
33
Suppose 2*z - 15 = -3*y + 92, -3*z + 3*y = -138. What is the remainder when 87 is divided by z?
38
Let s(y) = -8*y**3 + 8*y**2 + 2*y + 14. What is the remainder when s(-3) is divided by 12?
8
Let f(b) = -4*b**2 + 14*b - 23. Let a(r) = r - 1. Let m(j) = 4*a(j) - f(j). What is the remainder when m(5) is divided by 12?
9
Let i = -307 - -26. Let v = -187 - i. Calculate the remainder when v is divided by 12.
10
Suppose 94*u - 2800 = 24*u. What is the remainder when 128 is divided by u?
8
Suppose 1320 = -8*g + 2*g. What is the remainder when (4/(-10))/(4/g) is divided by 8?
6
Let m be (3/(-9))/(2/(-372)). Suppose -13*b = -11*b - m. What is the remainder when b is divided by 8?
7
Let d = -202 - -285. Suppose 714 = 15*c + 19*c. What is the remainder when d is divided by c?
20
Suppose -6*i = -i - 4*y - 22, 3*y + 3 = -3*i. Suppose -6*q + 112 = -i*q. What is the remainder when q is divided by 6?
4
Let x(d) = 5*d + 20. Let p be x(-4). Suppose p = 6*r - 143 + 23. Let f = 61 - -17. What is the remainder when f is divided by r?
18
Let l = -1326 + 1337. What is the remainder when (-50)/(-5)*4/2 is divided by l?
9
Let b = -106 - -445. Calculate the remainder when b is divided by 58.
49
Let a(g) = -6*g - 7. Let c be a(-3). What is the remainder when (-1 + (-6)/3)*-3 is divided by 2/c + 80/44?
1
Let d = -32 - -8. Let y = 43 + d. Calculate the remainder when 130 is divided by y.
16
Let p be -3 - (11 + (-2 - -3)). Let j = 15 + p. Suppose v + j = 5. Calculate the remainder when 18 is divided by v.
3
Suppose 0 = -2*j - 3*j + 375. Suppose -6*y + j + 21 = 0. Calculate the remainder when 62 is divided by y.
14
Let u = 239 + -210. Calculate the remainder when 56 is divided by u.
27
Suppose 10*w + 48 = -2*w. Calculate the remainder when w/6 - (-1428)/36 is divided by 21.
18
Let b = -60 - -108. Calculate the remainder when (-1810)/(-40) - (-1)/(-4) is divided by ((-3)/4)/((-3)/b).
9
Suppose 177 = -5*z + 272. Suppose -152 - 28 = -5*o. What is the remainder when o is divided by z?
17
Let k(i) = i**3 - i**2 + 111. Calculate the remainder when k(0) is divided by ((-3)/(-4) - -4)/(2/16).
35
Let q(p) = -8*p + 3. Let o(s) = 8*s - 3. Let r(n) = -5*o(n) - 4*q(n). Calculate the remainder when r(-3) is divided by 10.
7
Let v = -35 + 40. Let l(t) = -3*t + 7. Let s be l(v). What is the remainder when (-5)/(20/s) - 1 is divided by 1?
0
Suppose -3*c - 10 = -4*c. Let g = 83 + -58. What is the remainder when g is divided by 135/c + 1/(-2)?
12
Suppose -j - 5 = -2*j. Suppose -5*r + 10 - 1 = -3*x, r + 7 = j*x. Suppose 4*c - 1 = -d, d - 4 = -6*c + r*c. Calculate the remainder when 51 is divided by d.
12
Let x(u) = 121*u + 779. What is the remainder when 157 is divided by x(-6)?
51
Let h = 1269 + -883. Calculate the remainder when h is divided by 17.
12
Let s(o) = 19*o**2 - 2. Let b be s(2). Let u = 34 + b. What is the remainder when u is divided by 11?
9
Suppose 66*g + 5515 - 23005 = 0. What is the remainder when g is divided by 45?
40
Suppose -1555 = -3*r + v, -5*r - 1545 = -8*r + 3*v. Calculate the remainder when r is divided by 75.
70
Suppose 3*v + 0*t = -t + 45, 2*v - 30 = 2*t. Let z = -11 - -10. Calculate the remainder when v is divided by 0 + (-8)/z*3/6.
3
Let j(c) = -c - 3. Suppose 28*g - 32 = 20*g. Calculate the remainder when j(-7) is divided by g.
0
Let j(o) be the first derivative of o**3/3 + 5*o**2/2 - 8*o - 10. What is the remainder when 31 is divided by j(-8)?
15
Suppose -2*u = -4*u + 8. Suppose 218 = u*m - 178. Suppose 4*b = m - 27. What is the remainder when 33 is divided by b?
15
Suppose -44 = -5*b - 2*x, -2*x = 3*b - 0*x - 24. Let c = 1959 + -1956. Calculate the remainder when b is divided by c.
1
Suppose 0 = -2*j - 672 + 1048. Calculate the remainder when j is divided by 12.
8
Let n(x) = -x - 3. Let s be n(-2). Calculate the remainder when (-2 - (34 - -1))*s is divided by 13.
11
Suppose 4*n - 31 = -3*j, 8 + 2 = 2*j. Let w(q) = -2*q**3 - 13 - q + 3*q**2 + q**3 + 11*q**2 + 3*q. Calculate the remainder when w(14) is divided by n.
3
Suppose 0 = -2*w + 1 + 103. What is the remainder when 24 is divided by -1*(-5)/(20/w)?
11
Suppose -5*r + 275 = 5*w, 57*r - 56*r = 4*w - 240. Calculate the remainder when 235 is divided by w.
58
Suppose 15 = -j + 4*j. Let u = -2 + j. Suppose -u*p + 104 = 4*b - 11, -3*b - 6 = 0. What is the remainder when p is divided by 11?
8
Let n = 154 + -61. What is the remainder when n is divided by 32?
29
Suppose 28*g = 17*g + 891. What is the remainder when 969 is divided by g?
78
Let h(f) = 2*f**2 + 6*f + 5. Let w be h(-3). Suppose 4*d - 6*d + w*q = -49, d - 4*q = 26. What is the remainder when 42 is divided by d?
20
Suppose 4*z - 5*z + 103 = -u, 0 = -5*u - 20. Calculate the remainder when z is divided by 5.
4
Suppose k - 43 = -m, -61 = -k - 0*m + 5*m. What is the remainder when 139 is divided by k?
1
Let r(v) = 203*v**3 - 3*v**2 + 9*v + 2. What is the remainder when r(2) is divided by 71?
70
Let j = 9 - 15. Let i(h) = h**3 + 6*h**2 + h. Let m be i(j). Let w = m - -12. What is the remainder when 17 is divided by w?
5
Let f = -353 - -431. Calculate the remainder when 230 is divided by f.
74
Suppose 0 = 7*z - z - 156. Let v = -3 + -10. Let d = 2 - v. Calculate the remainder when z is divided by d.
11
Let m(d) = 6*d - 3. Let a = -1273 - -1296. Calculate the remainder when a is divided by m(2).
5
Suppose -42*c - 2*x = -43*c + 200, 2*c - 2*x - 402 = 0. What is the remainder when c is divided by 7?
6
Suppose 0 = 40*m - 4697 + 697. What is the remainder when 319 is divided by m?
19
Let y(l) = 27*l**2 - 4*l - 3. Let c(r) = -r**2 - r - 1. Let i(z) = -3*c(z) + y(z). Let k = 358 - 243. What is the remainder when k is divided by i(1)?
28
Let r(j) = 2*j. Let t = 33 + -24. Calculate the remainder when 35 is divided by r(t).
17
Let v = 66 + -63. Suppose v*u = 5*y + 147, 123 = 8*u - 6*u + 5*y. Calculate the remainder when u is divided by 14.
12
Let u(c) = 11*c**3 - 5*c**2 - 43*c + 141. What is the remainder when u(3) is divided by 13?
4
Suppose 11*a + 444 = 14*a. Suppose 8*x - 5*x + 113 = 4*q, a = 5*q + 3*x. Calculate the remainder when q is divided by 15.
14
Let y(m) = 23*m. Let x(o) = o**2 + 5*o - 2. Suppose -18 = 3*z - 3*i, -5*z = 3*i - 14 + 52. What is the remainder when y(2) is divided by x(z)?
10
Let i = -227 + 247. What is the remainder when i is divided by 3?
2
Let s(b) = b**2 - 4*b - 50. Let f(w) = w**2 - 5*w - 50. Let k(i) = 3*f(i) - 4*s(i). Let p = 80 + -54. Calculate the remainder when k(0) is divided by p.
24
Let k(d) = d + 8. Let t be k(-5). Suppose -2*v + t*v - 30 = 0. What is the remainder when v is divided by 8?
6
Let f(x) = -2*x**2 + 14*x - 9. Let d be f(6). Suppose 0 = -3*u - 5*t + 56, 66 = u + d*u - 2*t. Calculate the remainder when 31 is divided by u.
14
Suppose 4*o = -m + 33, m + 3 = -3*o + 27. What is the remainder when 2/10 - (-169)/5 is divided by o?
7
What is the remainder when 498 is divided by 1 + 75 + -1 + -5?
8
Let w(i) = -3*i**2 + 37*i - 38. Calculate the remainder when 56 is divided by w(11).
2
Let j(p) = -2*p + 57. Let w be j(-6). Let r = 10 + w. What is the remainder when r is divided by 20?
19
Let q be (-4)/(40/5)*(-118 + 0). Let j = q + -55. Let k(c) = c**2 - 6*c + 7. What is the remainder when k(6) is divided by j?
3
Let t = 60 - -230. What is the remainder when t is divided by 42?
38
Suppose -90 = 1260*h - 1265*h. What is the remainder when 213 is divided by h?
15
Let q(i) = -i - 5. Let w be q(5). Let o(v) = -6*v + 17. What is the remainder when o(w) is divided by 10?
7
Let r be 2 + 27/(3 - 0). Let t = 80 + -42. Calculate the remainder when t is divided by r - (-4)/(16/12).
10
Suppose 953 + 321 = 5*b + 4*w, 0 = -2*b + 2*w + 506. What is the remainder when b is divided by 78?
20
Let c(y) = -y**3 - 2*y**2 + 5*y - 7. Let b be c(-5). Let i = -34 + b. What is the remainder when 15 is divided by i?
6
Suppose 3*d - 288 = -3*q, -d + 4 = -5*d. Calculate the remainder when q is divided by 10.
7
Suppose -6*v + 10 = r - 2*v, -2*r - v + 41 = 0. Let f(p) = 2*p**3 + 10*p**2 + p + 11. Calculate the remainder when r is divided by f(-5).
4
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