1. Suppose 1496 - y = -10*f. What is the remainder when f is divided by 57?
55
Let u = -30 + 81. What is the remainder when 110 is divided by u?
8
Let o = 131 + -89. What is the remainder when 123 is divided by o?
39
Let g(i) = 6*i - 2. Let r be g(1). Suppose 3*q = -r*f + 60, q = 3*q + f - 40. Suppose 11*a = 8*a + 33. What is the remainder when q is divided by a?
9
Let d(k) = -3*k - 3. Let w(g) = -27*g - 261. What is the remainder when w(-10) is divided by d(-2)?
0
Let v = -765 + 75. Let a = -418 - v. What is the remainder when a is divided by 39?
38
Suppose 0 = -2*z + 213 - 57. What is the remainder when z is divided by 16?
14
Suppose -48*m - 434 + 4754 = 0. Let k = 20 + 3. Calculate the remainder when m is divided by k.
21
Suppose 0*s + 5*s = 95. Let q(i) = -i + 59. Let m be q(-17). Suppose 5*w + 3*y - m + s = 0, 0 = -3*w - 4*y + 43. What is the remainder when 25 is divided by w?
7
Let f = -169 - -172. Calculate the remainder when f is divided by 3.
0
Let z be 135/6*(-8)/10. What is the remainder when 63 is divided by ((-9)/z)/(3/192)?
31
Suppose -2*j = -p + 25, 16 = -2*j + 7*p - 3*p. What is the remainder when 0 + 2 + (-1834)/j is divided by 20?
13
Let d(v) = 2*v**3 + 34*v**2 + 2*v + 52. What is the remainder when d(-17) is divided by 7?
4
Suppose 0 = -72*d + 70*d + 224. What is the remainder when d is divided by 33?
13
Suppose 1 - 10 = -3*l, -2*l = 4*c - 142. What is the remainder when 339 is divided by c?
33
Suppose 19 = 17*x + 2. Calculate the remainder when 85 is divided by x.
0
Let o(d) = -d**2 - 9*d + 4. Let n(c) be the third derivative of -13*c**4/12 - 4*c**3/3 - 7*c**2. What is the remainder when n(-3) is divided by o(-7)?
16
Let j(s) = -s + 9. Let h be 2 + -2 - -8 - 3. Suppose h*f - 30 = -y, -53 = -4*f + 6*y - y. What is the remainder when 3 is divided by j(f)?
1
Suppose 0 = 3*x - 6*x. Suppose -i + c - 3 = -10, x = 3*c. Calculate the remainder when i is divided by 2/(-1) + 2 + 5.
2
Let k(g) = 28*g**3. Let n be 2 + 0 + -3 + 3. Let q be k(n). Suppose 4*y - q = -4*y. What is the remainder when 111 is divided by y?
27
Let l = 21 - 19. Suppose 3*y - 2*w = 3*w + 10, -l*w = -8. Let c = 91 - 54. What is the remainder when c is divided by y?
7
Suppose 255*j = 247*j + 1552. Calculate the remainder when j is divided by 18.
14
Let o be 6/3*(-1)/6*-15. Suppose p + w + 26 - 80 = 0, o*p = -2*w + 279. What is the remainder when p is divided by 15?
12
Let o be (-15)/(-1) - (-2 - -2). Let j = 15 - o. Suppose j*x - x + 13 = 0. Calculate the remainder when 49 is divided by x.
10
Let i = 467 - 280. Calculate the remainder when i is divided by (28/(-6))/(76/(-342)).
19
Suppose 2*v + 2*u = 3 - 1, -v - 2*u = 1. Suppose v*l - l - 5*x = 35, 79 = 5*l - 4*x. What is the remainder when l is divided by (-3)/(30/16)*-5?
7
Let f(i) = i**3 + 4*i**2 - 13*i + 19. What is the remainder when f(7) is divided by 79?
72
Let d(k) = k**3 + 5*k**2 - 1. Let l be d(-4). What is the remainder when (-4)/(-12) + (-176)/(-3) is divided by (1/((-1)/l))/(-1)?
14
Let u be (-8)/8 + (3 - 0). Suppose -3*c = -7*c + f + 26, -u*f + 25 = 3*c. What is the remainder when 23 is divided by c?
2
Suppose 3*f - 97 = -3*c - 10, 4*f + 3*c = 116. What is the remainder when f is divided by 12?
5
Let n be 1*(-6)/(-3) - 57. Let a be (506/n)/(2/(-5)). Let m = -21 + a. Calculate the remainder when 8 is divided by m.
0
Let p(z) = -z**3 + 5*z**2 - 4*z + 1. Calculate the remainder when 151 is divided by p(3).
4
Let t(l) = l**2 - 4*l + 5. Let b be t(5). Suppose 4*f - 56 = -5*d + d, -d = -f - b. Calculate the remainder when 20 is divided by d.
8
Let p be 3 - (5 - (3 + 0)). Let b(a) = 25*a**2 + a + 1. Let l be b(p). Let v = -18 + l. Calculate the remainder when 43 is divided by v.
7
Let m(c) = -10*c + 218. What is the remainder when m(-4) is divided by 67?
57
Let y(m) = -m + 3. Suppose -3*j + 2*j = 0. Let w be y(j). Suppose 3*i = -2*i - w*n + 97, -2*n + 18 = i. Calculate the remainder when i is divided by 7.
6
Suppose -37*y + 18 = -31*y. Suppose -y*f = 4*x - 6 - 91, -2*f + 3*x + 59 = 0. Calculate the remainder when f is divided by 8.
7
Let a(c) = 18*c**2 - 2*c - 2. Let w be a(-1). Suppose -3*i + w = 3. Let s(p) = 3*p**2 - 8*p - 2. Calculate the remainder when s(i) is divided by 18.
15
What is the remainder when 143/(-2)*((-252)/(-18) - 16) is divided by 72?
71
What is the remainder when 107 is divided by (-2)/((-12)/2)*57?
12
Suppose 5*l = 7*m - 2*m + 385, 3*m + 251 = -l. Let a = m - -153. Let b(k) = 65*k + 479. What is the remainder when a is divided by b(-7)?
23
Suppose -3*m - 40 = -142. Suppose 0 = 5*q + 3*w - 93, 2*w = -q + 3*q - m. What is the remainder when 88 is divided by q?
16
Let i(d) = -43*d - 9. Let t be i(-6). Let s = -174 + t. Calculate the remainder when s is divided by 39.
36
Suppose -14*s = -422 + 58. Suppose 3*t - 132 = 174. Let v = t + -51. What is the remainder when v is divided by s?
25
Suppose -5*z = -z. Suppose 3*y = 4*j + 29 + 23, z = 4*j + 2*y + 52. Let f(d) = d**2 + 12*d - 2. Calculate the remainder when 42 is divided by f(j).
9
Let x(o) = -9*o - 10. Let i(q) = 18*q - 45. What is the remainder when x(-5) is divided by i(3)?
8
Let m(n) = -2*n**2 - 6*n + 4. Suppose 3*r - r = 4*y + 22, -5*y = -3*r + 30. What is the remainder when m(y) is divided by 4?
0
Suppose -290 = -5*t + 5*r + 870, -2*t - 5*r = -499. What is the remainder when t is divided by 60?
57
Suppose 7*m = -16*m + 1288. Calculate the remainder when m is divided by 19.
18
Let j = 81 + -58. Suppose 78 = 5*c - v, 2*v + 43 = 4*c - j. Calculate the remainder when c is divided by (-36)/42 + (-170)/(-35).
3
Suppose 6*v = -6*v. Suppose -j + 2*a + 11 = v, 2*j + 37 = 7*j - 4*a. What is the remainder when j is divided by 3?
2
Let k = 1117 - 1056. What is the remainder when k is divided by 47?
14
Suppose -25*x = -21*x - 352. What is the remainder when x is divided by 19?
12
Suppose 44*k - 1130 = 34*k. What is the remainder when k is divided by 34?
11
Let s be (-11 - (0 + 4))*1. What is the remainder when 1/(s/18)*-65 is divided by 10?
8
Let f = 58 - -1. What is the remainder when f is divided by 6?
5
Suppose 8*p = 11*p + 5*s - 61, 28 = 2*p - 3*s. What is the remainder when 34 is divided by p?
0
Suppose -n = 2*n - 21. Let w = n + 10. Calculate the remainder when 32 is divided by w.
15
Let w(g) = -g**3 + 2*g**2 + 5*g - 7. What is the remainder when 14 is divided by w(2)?
2
Suppose 3*v + 4*m - 151 = 0, 9*m = -2*v + 5*m + 102. What is the remainder when v is divided by 35?
14
Let r(j) be the first derivative of -1/4*j**4 + 9*j - 2/3*j**3 + 3 + 7/2*j**2. Calculate the remainder when 37 is divided by r(-4).
11
Suppose -4*v = -4*z + 28, 0*z + 4*v + 12 = -4*z. Suppose 2*d - 22 = 5*q + 1, 5*d - 26 = z*q. What is the remainder when 12 is divided by d?
0
Let f be 16 - (-1 - -7 - 2). Suppose -77 = 5*y - f*y. Suppose z = -2*n + 91, 0 = -n - 2*z + 36 + 17. What is the remainder when n is divided by y?
10
Let p(x) = x**2 + 3*x - 26. Let j be p(-7). Let m(w) be the third derivative of w**5/6 - w**4/8 + w**2. Calculate the remainder when m(j) is divided by 18.
16
Suppose -2*t + 4*s - 182 = -4*t, 382 = 4*t + 2*s. What is the remainder when t is divided by (-149)/(-6) + (-8)/(-48)?
22
Suppose -4 = u, -2*z - 4*u + 2*u - 42 = 0. Let b = -7 + z. Let n = -10 - b. What is the remainder when 53 is divided by n?
11
Suppose -36*i = -39*i + 24. Suppose i*p - 620 = 3*p. Calculate the remainder when p is divided by 21.
19
Let x(y) = -52*y + 17. Calculate the remainder when 89 is divided by x(-1).
20
Let y = -886 + 974. Calculate the remainder when 350 is divided by y.
86
Let m = -53 - -58. Suppose -33 - 45 = -g - m*y, g + 3*y - 72 = 0. What is the remainder when 124 is divided by g?
61
Suppose -290 = -7*f + 291. Calculate the remainder when f is divided by 2.
1
Let o be 2/3 + (-32)/(-6). Let h be 69 - (o*-1 - -2). Calculate the remainder when h*1 - (14 - 16) is divided by 19.
18
Let k(o) = o**2 - 16*o - 156. Calculate the remainder when k(26) is divided by 19.
9
Suppose -8*v - 12 = -180. What is the remainder when 38 is divided by v?
17
Let l be (-2 + 3 + -2)/((-2)/6). Suppose 2*d = -2*d - 5*o + 232, l*d - o = 155. What is the remainder when 103 is divided by d?
50
Suppose -2*g = 4*h - 108, -9*h + 5*h = -3*g - 88. Calculate the remainder when 25 is divided by h.
