 - 72 = 0. Suppose -32 = -3*g + 2*j, 10*g + 3*j - 71 = 6*g. What is the remainder when v is divided by g?
12
Suppose x + 36 = 4*x. Let i(h) = 3*h**2 - 2*h + 2. Let c be i(3). Let y = c - -23. Calculate the remainder when y is divided by x.
10
Let f be 10/(-3)*(-312)/20*1. Let p(z) = z**3 + 4*z**2 - 3*z - 5. Let i be p(-4). Suppose -i*x - f = -8*x. Calculate the remainder when x is divided by 27.
25
Let r be 15/2 + 3/(-6). Suppose -3*u = 4*m - 47, 4*u + 12 = r*m - 3*m. Calculate the remainder when 15 is divided by m.
7
Let i(h) = 3*h - 20. Let t = 6 - -15. Calculate the remainder when i(t) is divided by 25.
18
Let b(y) = y**3 - 10*y**2 + 14*y + 4. What is the remainder when b(10) is divided by 87?
57
Suppose -41*h = -49*h + 576. What is the remainder when 242 is divided by h?
26
Let x(g) = -g - 1. Let p(q) = -q**3 + 8*q**2 - 8*q + 1. Let a be p(7). Let d be x(a). Calculate the remainder when d*(2 + 12/(-15)) is divided by 2.
0
Let t(o) = -o**2 - 25*o - 42. What is the remainder when 140 is divided by t(-19)?
68
Suppose 17*d - 28 = 21*d. Let k = d - -22. Calculate the remainder when k is divided by ((-10)/(-4))/5*12.
3
Suppose 7*r = -88 + 431. Calculate the remainder when 289 is divided by r.
44
Let k(u) = -u - 8. Let j be k(-8). Let f = -7 - j. Let g = 8 - f. What is the remainder when g is divided by 8?
7
Let z be 208/3 + (-1)/3. Let v = z + -48. Calculate the remainder when 76 is divided by v.
13
Suppose 25 = y + 2*m - 38, -5*y + 4*m + 371 = 0. Suppose 11 = -5*u + 36. What is the remainder when y is divided by (2 - u) + 20 - -1?
17
What is the remainder when 5873*10/630 + 2/(-9) is divided by 25?
18
Let n = -30 - -55. Let g(a) = -6*a + a**2 + 2*a - 14 + 0*a**2. What is the remainder when n is divided by g(7)?
4
Let h = -181 - -238. What is the remainder when 236 is divided by h?
8
Let d(z) = 3*z - 9. Suppose -3*a - 22 = -5*a. Suppose 0 = -j + 5*o - o + a, 3*o = -2*j + 11. Calculate the remainder when 47 is divided by d(j).
11
Suppose 27*j = 24*j - 5*d + 60, 0 = -d. What is the remainder when j is divided by 8?
4
Let h(i) = i**2 + 2*i + 2. Let j be h(-3). Suppose -a = a + j*z + 31, -z + 10 = -5*a. Let n = a + 26. What is the remainder when 43 is divided by n?
20
Calculate the remainder when 89 - (16/5 - 20/(-25)) is divided by 26.
7
Let k(x) = -5*x + 3. Suppose -428 = -4*w - 5*p, w - p = -4*p + 100. What is the remainder when w is divided by k(-7)?
36
Let a(d) be the second derivative of -11/12*d**4 + 5/3*d**3 + 1/20*d**5 - 3*d + 6*d**2 + 0. What is the remainder when 23 is divided by a(10)?
11
Calculate the remainder when ((-1484)/(-70))/((-1)/(-5)) is divided by 27.
25
Let t(k) be the second derivative of -k**3/6 + 31*k**2/2 + 3*k. Let s = 41 + -26. What is the remainder when 29 is divided by t(s)?
13
Let m(q) = -2*q**2 - 121*q - 91. What is the remainder when m(-35) is divided by 32?
30
Suppose o + 5*s = 36, 0*o + 128 = 3*o - 5*s. Calculate the remainder when o is divided by 29.
12
Let l = 1269 + -922. What is the remainder when l is divided by 109?
20
Let f = -6 - -18. Let u(a) = -a**3 - 22*a**2 + 18*a - 32. What is the remainder when u(-23) is divided by f?
11
Let b = 38 + 1. Let d = b + -36. Suppose 21 = 2*y + 7. What is the remainder when y is divided by d?
1
Let d = 620 + -592. Let n(p) = -p**3 - 6*p**2 - 2*p - 4. What is the remainder when d is divided by n(-6)?
4
Let f = 120 + -222. Let s = 220 + f. What is the remainder when s is divided by 31?
25
Suppose -4*c - 3*i = -534, 2*c - 203 - 71 = 2*i. Calculate the remainder when c is divided by 18.
9
Let y = 47 - 44. Suppose y*m - 119 = 19. Calculate the remainder when m is divided by 8.
6
Let z = -388 - -397. What is the remainder when 15 is divided by z?
6
Calculate the remainder when ((-1250)/(-150))/((-2)/3 + 1) is divided by 14.
11
Let l(t) = 2*t**2 - 9*t + 65. What is the remainder when 189 is divided by l(6)?
23
Suppose 4*h - 20 = 0, -3*d = 3*h + 7 - 34. Suppose q = d*q - 6. What is the remainder when q/(-7) - (-499)/7 is divided by 37?
34
Let i(a) = -46*a + 88. Calculate the remainder when i(-15) is divided by 78.
76
What is the remainder when 6468/108 + (-3)/(-27) is divided by 13?
8
Suppose -5 = -f, 0*i + 2*f = -2*i + 90. Let s = 85 - i. Let j(t) = -t**3 + 6*t**2 - t - 5. What is the remainder when s is divided by j(4)?
22
Suppose 0 = -8*v - 2*v + 530. Let w = 25 - 18. What is the remainder when v is divided by w?
4
Suppose 0 = 2*l - 4*y - 4, 5 = -3*l - 2*y - 3*y. Suppose l = -4*g - 16, 60 = 4*u - 2*u - g. What is the remainder when u is divided by 16?
12
Suppose 11*u - 81 = 10*u. Calculate the remainder when u is divided by 9.
0
Let z = -19 - -33. Let t = -203 + 207. What is the remainder when z is divided by t?
2
What is the remainder when 5*(2844/30 - 11) is divided by 137?
8
Let d = 52 + -35. Let u = d - 15. Suppose 0 = -u*v + 6, 2*f - v + 2 = 3*v. What is the remainder when 7 is divided by f?
2
Suppose -4*c + 36 + 40 = 0. Let q = c - 8. Suppose 2*z = -y + 35, -5*z = -4*z + 3. What is the remainder when y is divided by q?
8
Suppose 12*h - 431 = 8*h + x, h - 4*x = 119. Calculate the remainder when 321 is divided by h.
0
Suppose -r + 4*y + 59 = 0, 0 = -y + 6*y + 15. Let z = -57 - -70. What is the remainder when r is divided by z?
8
Let z be 16/56 - 38/(-14). Let c(r) = 6*r - 2*r + 2*r - 2 - z*r. Calculate the remainder when c(11) is divided by 16.
15
Let r = -23 - -23. Let a be (r + -15)*(-1)/3. Suppose 0 = -a*k + 3*b + 335, b - 142 = -5*k + 173. Calculate the remainder when k is divided by 17.
13
Let f(d) = 12*d + 413. Let z = -18 + 39. What is the remainder when z is divided by f(-34)?
1
Suppose 210 = 2*g + g. Suppose -7 = 2*w + 1. Calculate the remainder when g is divided by (w/(-6))/(4/108).
16
Suppose -2*d + 565 + 169 = 2*i, 0 = -2*d - i + 734. Let v = d + -176. Calculate the remainder when v is divided by 64.
63
Let a = 414 + -399. What is the remainder when 59 is divided by a?
14
Suppose 4*c - 6 = 6. Calculate the remainder when c/(-2) - 50/(-4) is divided by ((-14)/35)/(21/(-10) + 2).
3
Let s = -17 + 22. Suppose 4*u = -s*p + 568, -5*p + 0*u = -u - 558. What is the remainder when p is divided by 29?
25
Suppose -r + 3*o = 2*r - 63, 4*r + 2*o - 102 = 0. Suppose 2*d + r = 84. What is the remainder when 87 is divided by d?
27
Suppose 0 = -2*n + 2, b + n - 45 + 0 = 0. What is the remainder when b is divided by (840/(-224))/(5/(-20))?
14
Let o(u) = u**2 - 3*u. Let i = 13 + -9. Let n be o(i). Suppose 12 = -n*t - 0, -3*c = -5*t - 27. Calculate the remainder when 15 is divided by c.
3
Suppose 2*t = -3*p + 121, -2*p + 0*p = -3*t - 59. Let o = p + -29. What is the remainder when 28 is divided by o?
4
Let g(q) = 84*q + 451. Calculate the remainder when 74 is divided by g(-5).
12
Suppose -z - z + 142 = 4*t, -2*t + 2*z = -56. Calculate the remainder when t is divided by (-11 + 5)/((-3)/9).
15
Suppose 0 = -44*y + 181 + 567. Suppose 4*f - 22 = i - 72, 3*i + 4*f = 134. What is the remainder when i is divided by y?
12
Let h(p) = 7*p - 3. Let u be h(2). Let g(s) = s**2 - 11*s + 4. Let x be g(u). Suppose x*f - 25 = 59. What is the remainder when 82 is divided by f?
19
Calculate the remainder when 13 is divided by 0 + 5 + (10 - (-6 + 15)).
1
Let q(z) be the third derivative of -7*z**5/60 - 13*z**4/8 - z**3/2 + 21*z**2. Let k = 5 + 44. What is the remainder when k is divided by q(-5)?
15
Let w be 3/6 + (-30)/(-12). What is the remainder when 8 is divided by -3 + 24/w + -2?
2
Let h = 30 - -3. Suppose -87 = -7*r + 39. Calculate the remainder when h is divided by r.
15
Let p(i) = -21*i + 239. Calculate the remainder when p(7) is divided by 21.
8
Suppose 3*t + 24 - 15 = 0. Let h(a) = -7*a - 7. Calculate the remainder when 26 is divided by h(t).
12
Let d be 2/(-13) + 1876/26. Let z be d/(-27)*6/(-4). Suppose 4*j + 0*n = -5*n + 152, j - 38 = -z*n. What is the remainder when j is divided by 13?
12
Let k(d) = 3*d**2 - d + 6. Let l(i) = -i + 3. Let o be l(-2). Suppose -7*u - o = -33. What is the remainder when k(u) is divided by 17?
16
Suppose -18*n = 5*a - 16*n - 2935, -2*a + n = -1183. What is the remainder when a is divided by 33?
28
Suppose -22*k + 23*k - 48 = 0. What is the remainder when 82 is divided by k?
34
Suppose 5*b - 9*b = -8. Suppose 22 - 54 = -4*o. Suppose 4*p - o = -0*p. Calcula