b = -5 + 7. Suppose -45 = -5*c + 3*t, -b*t = 3*c - 4*t - 27. Calculate the remainder when 26 is divided by c.
8
Let t(r) = -2*r**3 + 3*r**2 + 2*r - 2. Let i be t(3). Let f = -2 - i. What is the remainder when f is divided by 11?
10
Let r = 14 - 4. What is the remainder when 27 is divided by r?
7
Let y(x) = -2*x + 10. Let u be y(-13). Suppose -u = -5*o + o. What is the remainder when 14 is divided by o?
5
Suppose 3*u - 39 = -5*c, -4 = -0*u - 2*u + 4*c. Suppose -12 = -3*q - q. What is the remainder when u is divided by q?
2
Let l be 2/(1 - (-35)/(-37)). Suppose 3*f = -0*z - 5*z + 70, z - l = 4*f. What is the remainder when z is divided by 10?
7
Suppose 2*a - 4 = -0. Let z be 5*a*(-3 + 4). Let d(j) = j - 6. What is the remainder when 5 is divided by d(z)?
1
Let u(v) = -v - 3. Let x be u(-4). What is the remainder when 10 is divided by -6 + 5 + 4 + x?
2
Let n = -20 - -29. What is the remainder when 33 is divided by n?
6
Suppose 5*s = 147 + 58. What is the remainder when s is divided by 11?
8
Let q(o) = 2*o + 9. Let z(c) = c + 4. Let x(g) = 6*q(g) - 15*z(g). What is the remainder when 15 is divided by x(-5)?
6
Let f(u) = u**3 - 2*u**2 - 18*u - 7. What is the remainder when f(6) is divided by 5?
4
Calculate the remainder when 66 - (-3 + -1)/(-2) is divided by 11.
9
Suppose s + 3 = 20. What is the remainder when 33 is divided by s?
16
Suppose 12 = 2*y + 2*b, 22 = 4*y + b + 2*b. Suppose 0 = -2*v + y*v - 4, -3*h = -5*v + 376. Let t = h + 171. What is the remainder when t is divided by 17?
15
Suppose 11*o - 19 = 14. Suppose 0 = -q - 3*q + 412. Suppose 3*d = -d + o*j + 129, -4*j = 3*d - q. Calculate the remainder when d is divided by 18.
15
Let l(d) = 4*d - 5. Let p(g) = -7 + g**2 + g**2 + 2*g + 5. What is the remainder when l(6) is divided by p(2)?
9
Let g(r) = 1 - r**2 + 1 + 2*r**2 + 2*r. Let t(c) = -c + 4. Calculate the remainder when g(-5) is divided by t(-5).
8
Let i = -40 + 168. Calculate the remainder when i is divided by 13.
11
Let k be 24/3 + 0 + -2. Let p(c) = c**3 - 5*c**2 - 3*c - 3. What is the remainder when 28 is divided by p(k)?
13
What is the remainder when 1/3 + 29/3 is divided by ((-54)/(-45))/(6/15)?
1
Suppose -2*y + 5*m = 12 - 59, -2*y - 2*m = -40. Let z(i) = -i. What is the remainder when y is divided by z(-6)?
3
Let y(k) = k**3 - 5*k**2 + k. Let a be y(5). Let s(x) = -x**2 + 5*x + 6. Calculate the remainder when s(a) is divided by 2.
0
Let v = -90 + 35. What is the remainder when 7 is divided by 10/v - 184/(-44)?
3
Let c(f) = -f**3 + 5*f**2 - 2*f - 3. Let b be c(4). Suppose -x = b*v + x - 19, 3*v = -5*x. What is the remainder when 7 is divided by v?
2
Let d(b) = -2*b + 70. Calculate the remainder when d(0) is divided by 36.
34
Let o = -6 - -8. Suppose 3*w = o*d - 116, w = 3*d + 6*w - 193. Let f(r) = -r**3 + 5*r**2 + r + 1. Calculate the remainder when d is divided by f(4).
19
Let y = -2 + 4. Suppose -3*h - 5*u - 32 = -6*h, -43 = -y*h - u. What is the remainder when h is divided by 5?
4
Let d(q) = -q**3 + 6*q**2 - 4*q + 4. Let m(v) = v**3 - 7*v**2 + 6*v + 5. Let x be m(6). Calculate the remainder when d(x) is divided by 3.
0
Let z(d) = -4*d - 35. Calculate the remainder when 11 is divided by z(-10).
1
What is the remainder when 2/7 + 1588/28 is divided by 20?
17
Suppose -d + 5 = 2*p - 10, -2*d = 5*p - 38. Suppose 3*r - w = 5 + p, 4*r + 2*w = 24. Let b = 33 - 20. What is the remainder when b is divided by r?
3
What is the remainder when 128*1*(-4)/(-8) is divided by 13?
12
Let u(t) = 10*t**2 + 3*t + 3. Let o = -31 + -5. Let x = o - -46. Calculate the remainder when u(-2) is divided by x.
7
Suppose 5*w - 46 = -21. Suppose 0*h = -5*h + 10. Suppose 4*z + 5*r = 44, 2*r + 33 = w*z - h*z. Calculate the remainder when 21 is divided by z.
10
Let d = -10 + 20. Suppose 3*c - 9 = -0*c. Suppose -5*o = 3*z - 72, -49 = 5*z - c*o - 135. What is the remainder when z is divided by d?
9
Suppose 2*g - 268 = -s - 4*s, 5*s + 536 = 4*g. What is the remainder when g is divided by 34?
32
Let h = -291 + 166. Let i = 239 + h. Suppose -i = -7*p + 4*p. What is the remainder when p is divided by 13?
12
Let r = -3 - -5. Suppose -2*s = 4*n - 36, 2*n = -3*s - r*s + 26. Calculate the remainder when n is divided by 5.
3
Suppose 28 = -2*l + 76. Calculate the remainder when l is divided by 9.
6
Suppose 4*k + 0*k - 16 = 0. Suppose 0*h - 4 = -4*h + 2*d, k*h - 4*d = -4. Suppose -185 = -h*g - 2*g. What is the remainder when g is divided by 13?
11
Calculate the remainder when 110 is divided by (-1)/(3 - (4 - (-114)/(-116))).
52
Suppose -4*j = -4*y - 108, -2*j - 4*y + 46 = -2*y. Let q = 21 + -14. What is the remainder when j is divided by q?
4
Suppose 4*t - 84 = -0*t. Calculate the remainder when t is divided by 4.
1
Let g(n) = 15*n**2 - 31*n + 10. Let q(j) = 3*j**2 - 6*j + 2. Let m(r) = -2*g(r) + 11*q(r). What is the remainder when m(-4) is divided by 17?
15
Suppose 0 = -3*y + 6. What is the remainder when -1 + (-2 + 1 - -47) is divided by (-4)/((-21)/(-12) - y)?
13
Suppose 4*k - 149 = -41. What is the remainder when k is divided by 7?
6
Let k = 23 + -18. Suppose 48 = k*b + b. Calculate the remainder when 30 is divided by b.
6
Let a(t) = -12*t + 1. What is the remainder when a(-3) is divided by 10?
7
Let x(j) = j**3 - 7*j**2 + j - 6. Let m be x(5). Let z = -36 - m. Calculate the remainder when 42 is divided by z.
12
Suppose 2*o + 304 = 6*o. Calculate the remainder when o is divided by 13.
11
Suppose 117 = 6*z - 51. What is the remainder when z is divided by 6?
4
Let v be (-4 - -1)/((-8)/(-168)). What is the remainder when 11 is divided by v/(-7) - (-3)/(-1)?
5
Calculate the remainder when 28 is divided by (120/16)/((-3)/(-4)).
8
Let g = -4 - -8. Suppose -4*w + 68 = -g*m, 19 = 2*w + 2*m - 31. Suppose 5*f - 8 = 47. Calculate the remainder when w is divided by f.
10
Let w(u) = -u**2 - 7*u + 1. What is the remainder when 37 is divided by w(-3)?
11
Suppose 46 = 2*u - 30. What is the remainder when u is divided by 20?
18
Suppose 3*k - 474 = k. Let x = k - 88. Suppose 3*d + 62 = x. What is the remainder when d is divided by 10?
9
Suppose 9*h - 146 = 259. Calculate the remainder when h is divided by 16.
13
Let q = -11 - -9. Let m = q - -10. Let c(s) = -4*s + 1. Calculate the remainder when c(-3) is divided by m.
5
Calculate the remainder when ((-3)/(-12))/((-2)/(-424)) is divided by 14.
11
Let b(l) = l**2 - 3*l - 17. What is the remainder when b(-11) is divided by 35?
32
Suppose -v - 3*r = -17 + 6, 5*v = 4*r + 112. What is the remainder when 34 is divided by v?
14
Suppose 2*l = -l + 69. What is the remainder when l is divided by 8?
7
Suppose -4 = -5*w + 196. Suppose 4*m - 4*d = w, -3*d + 2*d = -2. What is the remainder when m is divided by 7?
5
Suppose r - 4*r + 15 = 0. Suppose -39 = r*z - 134. What is the remainder when ((-1)/1)/(-5 + (-716)/(-144)) is divided by z?
17
Suppose 0 = -z - 3*z + 5*t + 12, 5*z + t - 44 = 0. What is the remainder when 21 is divided by z?
5
Calculate the remainder when ((-62)/(-4) + -2)*(6 - 0) is divided by 14.
11
What is the remainder when 37 + 2/(6/(-15)) is divided by 5?
2
Suppose 180 = 5*j + 3*z, -13 = -3*j + 2*j + 4*z. Calculate the remainder when 64 is divided by j.
31
Let m = 92 - 54. Let s = 7 + -3. Suppose 9 = 3*o - s*f - 42, 62 = 5*o + f. Calculate the remainder when m is divided by o.
12
Suppose -14 = -j + t, -2*j + t = -29 - 2. Calculate the remainder when 49 is divided by j.
15
Suppose 0 = 2*g + 10 + 2. Let x be (16/g)/((-6)/45). Let y = x - 7. Calculate the remainder when 37 is divided by y.
11
Let l(a) = a**3 + 8*a**2 + 7*a - 5. What is the remainder when l(-6) is divided by 14?
11
Suppose 2*x + c = -2*c + 37, -3*x - 3*c = -57. Suppose 0 = -0*i + 4*i - x. Calculate the remainder when 16 is divided by i.
1
Let r = 20 + -14. Suppose c - r = 4. Calculate the remainder when 37 is divided by c.
7
Suppose 6 = 2*k - 4. Suppose k = 5*l, 3*t - 121 + 23 = -5*l. Calculate the remainder when t is divided by 11.
9
Let n be (-3)/(1 + 21/(-12)). Let t = n + 35. Calculate the remainder when t is divided by 10.
9
Let r(p) = -p - 2. Let d be r(-2). Suppose d = 5*b + 23 - 88. Calculate the remainder when 49 is divided by b.
10
Suppose -3*a - 2 - 6 = 4*b, -2*a = b + 7. What is the remainder when -2 - (-1 + -18 - 1) is divided by (a/6)/((-1)/15)?
8
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