0).
19
Let n be ((-2)/3)/(4*2/(-2460)). Suppose 200*k + 715 = n*k. What is the remainder when k is divided by 53?
37
Suppose 9*m = 7*m + 4. Suppose i = -m*t + 9 + 31, 4*t + 3*i = 76. What is the remainder when t is divided by 18?
4
Suppose -v = 5*n - 137, 3*n - 514 = -4*v - 0*n. Let c = -375 + 407. Suppose 143 = -c*b + 847. Calculate the remainder when v is divided by b.
17
Suppose 766 = -3*r + 3*t + 934, 3*r = -4*t + 196. Calculate the remainder when r is divided by (-406)/(-10) - (-22)/55.
19
Let t = 78 - 26. Let s(r) = r**3 - 4*r**2 - 34*r + 117. What is the remainder when t is divided by s(7)?
0
Let i(u) = 3*u**2 - 46*u - 65. Calculate the remainder when 4106 is divided by i(18).
77
What is the remainder when 461 is divided by 2*112/(-42)*-3?
13
Let z be 566/38 + 6/57. Suppose 2245 = z*i - 2960. Calculate the remainder when i is divided by 91.
74
Let f = -3041 - -3048. Suppose -r - 4*k - k + 30 = 0, 5*r - 5*k = 60. Suppose -r = -2*m - 3*m. What is the remainder when f is divided by m?
1
Suppose -66*d + 686 = 47*d - 783. Calculate the remainder when 373 is divided by d.
9
Suppose -2*m - 21 + 51 = 0. Let t(h) = 14*h - 99. Let c be t(20). Suppose -c = -10*n + 99. Calculate the remainder when n is divided by m.
13
Let o = 135 - 128. Suppose 4*k + 1136 = 5*a, 2*a - 1144 = -3*a - 4*k. Calculate the remainder when a is divided by o.
4
Let z = -14 + 63. Suppose -18*p + 1085 + z = 0. What is the remainder when p is divided by 22?
19
Suppose -30 = -0*y - 6*y. Let w = 180 + -86. Suppose -w = -x - 80. Calculate the remainder when x is divided by y.
4
Let a = 19720 + -19585. What is the remainder when a is divided by 81?
54
Let m(y) = -y**3 - 19*y**2 + 3*y + 129. Calculate the remainder when 777 is divided by m(-19).
57
Let o = -45 - -58. Let c be 39/o + (-2)/1. Calculate the remainder when (-4)/(-10) - ((-1265)/25 + c) is divided by 13.
11
Let c = -2 - -8. Let t(l) = 5*l**3 + 150*l**2 - 2*l - 56. Calculate the remainder when c is divided by t(-30).
2
Let z(q) = -37 - 2*q + 124 + 58. What is the remainder when z(27) is divided by 16?
11
Let q(m) = -13*m + 10*m - 5*m + 3 + 101*m**2 + 3. Calculate the remainder when q(1) is divided by 35.
29
Let n(o) = 335*o**3 + 3*o**2 - 2*o. Let d be n(1). Let b = 405 - d. Calculate the remainder when b is divided by 27.
15
Let f(y) = 29*y**2 - 40*y + 138. Calculate the remainder when f(8) is divided by 39.
36
Let s(c) = c**3 - 13*c**2 - 26*c + 351. What is the remainder when s(15) is divided by 109?
84
Suppose -7*s + 10 + 56 = 5*m, 3*s - 49 = 2*m. Calculate the remainder when 179 is divided by s.
10
Let q(l) = 61*l**2 + 5*l - 5. Let v = -542 - -543. What is the remainder when 103 is divided by q(v)?
42
Calculate the remainder when ((-2)/7 - 321105/(-175)) + 248/620 is divided by 9.
8
Let u = -6213 - -6635. What is the remainder when 1268 is divided by u?
2
Let m = -554 + 599. Suppose 0 = g + 5*a - m, -9*g + 4*g = -2*a - 225. What is the remainder when g is divided by 8?
5
Let v = 10 - -122. Let p = v - 70. Suppose 4*a - 5*a + 22 = 0. What is the remainder when p is divided by a?
18
Suppose -h = 3*o - 195, -19*o + 13*o - h + 384 = 0. Calculate the remainder when 408 is divided by o.
30
What is the remainder when (-316 + -24396)*(-1)/8 is divided by 1026?
11
Let s(n) = n**2 + 22*n + 37. Let p be s(32). Suppose -9*r + p - 1423 = 0. Suppose -h + 2 = -6. Calculate the remainder when r is divided by h.
6
Let y(v) = v**2 - 17*v + 20. Let l be ((-34)/(-8))/(4/32). Suppose -l = 3*j - 5*j. Calculate the remainder when 177 is divided by y(j).
17
Suppose -6*l + 59 = -103. Let f = 1630 + -2376. What is the remainder when f/(-14) - (-4)/(-14) is divided by l?
26
Let v(a) = 147*a**2 - 235*a - 10. Calculate the remainder when 5937 is divided by v(2).
105
Suppose -727 - 809 = -8739*n + 8691*n. Let i(t) = 75*t - 7. Let w be i(5). Suppose -u - w = -5*u. Calculate the remainder when u is divided by n.
28
Let y = 3109 - 92. What is the remainder when y is divided by 3016?
1
Let k = -68 - 56. What is the remainder when 93/k - (-283)/4 is divided by 30?
10
Let p(a) be the first derivative of -a**2 + 44*a + 66. Calculate the remainder when 79 is divided by p(12).
19
Suppose -5*n = 67 + 48. Let y = n + 50. Suppose -l + 4*l = 159. What is the remainder when l is divided by y?
26
Suppose -1107 = 81*n - 2970. Let q(f) = 19*f**3 - 4*f**2 - f - 1. Calculate the remainder when q(2) is divided by n.
18
Let q(n) = 54*n**2 - 14*n - 16. What is the remainder when q(-2) is divided by 25?
3
Let h(s) = 61*s**2 + 68*s + 345. What is the remainder when h(-10) is divided by 28?
25
Let b(x) = 2*x**2 + 22*x + 23. Let r be b(-10). Suppose -60 = -r*o - 17*s + 13*s, -4*o - s + 67 = 0. Calculate the remainder when 20 is divided by o.
4
Suppose 2*i - 29 = 39. Suppose -i*w = -39*w + 15. Suppose -n - w*n = -336. Calculate the remainder when n is divided by 29.
26
Calculate the remainder when 263 is divided by ((-58)/4)/(-1) - 14/(4 - -24).
11
Suppose 1176 = 2*q + 382. Let x = 647 + q. Suppose 11*p - 2*p - x = 0. What is the remainder when p is divided by 30?
26
Suppose 70*a - 30786 = -7686. What is the remainder when a is divided by 32?
10
Let g = -191899 - -191914. Suppose 0*h - 3*h = -y - 10, -3*y + 25 = 2*h. Suppose y*q + 49 = 324. Calculate the remainder when q is divided by g.
10
Let o be -12*2/(-4) + 1. Suppose 3*m - 6 = 0, -c + 23 = -3*m - o. What is the remainder when 93 is divided by c?
21
Suppose -27*u = -990 - 63. Suppose j = -4*o + 114, o - 6*j - 18 = -j. Calculate the remainder when u is divided by o.
11
Let l be 42/12*(-20)/(-14). Suppose 4*j + j = l*g - 30, -3*j - 11 = -2*g. What is the remainder when 47 is divided by g?
5
Suppose 3*q - 3 = -j + 34, -3*q = -j - 35. Suppose 18*f - q*f - 72 = 0. Let s(r) = -8*r - 4. What is the remainder when s(-3) is divided by f?
8
Suppose 57 = z - 5*p, 24*p - 27*p + 320 = 4*z. Calculate the remainder when 90 is divided by z.
13
Suppose 88*h = 99*h. Calculate the remainder when (-24 - (h + 1))*(69 + -72) is divided by 7.
5
Suppose 11*j - 13*j = -22. Let a(u) = 2*u**3 - 37*u**2 - 16*u - 23. Calculate the remainder when a(20) is divided by j.
10
Suppose -15*c = 13*c - 756. What is the remainder when 661 is divided by c?
13
Let o = 3014 - 2993. Calculate the remainder when 7033 is divided by o.
19
Suppose 0 = -5*s - 4*k + 53, 9*s + 4*k = 7*s + 26. Suppose 8*i - s*i + 536 = 0. Calculate the remainder when i is divided by 54.
50
Let m(n) = 43*n - 15. Let k be m(-35). Calculate the remainder when 54/8*k/(-30) is divided by 88.
78
Suppose 0 = 2*d - 0*d - 42. Suppose -34*k - 32 = -38*k. Suppose -148 = -k*r + 668. Calculate the remainder when r is divided by d.
18
Suppose 5*l - 15*l + 9150 + 5780 = 0. What is the remainder when l is divided by 125?
118
Let m = -104 - -149. Suppose 2*l = 4*r + 528, -5*l + 2*r + 306 = -1030. What is the remainder when l is divided by m?
43
What is the remainder when 6961 is divided by 1 - (-1*85/5 - (-8 + 1))?
9
Calculate the remainder when 1223 is divided by -2*(60/(-45) + 3)*(-15)/2.
23
Let k be (-7)/(21/18)*(-2)/3. Let m be 10/(-65) + ((-2712)/(-13))/k. Suppose -m = -2*q - 2*c + 8, -c = -2*q + 48. What is the remainder when q is divided by 3?
2
Let i = 910 + -154. What is the remainder when i is divided by 76?
72
Suppose -289 = -8*q + b, 4*q - 7*b + 5*b = 146. Suppose x + x + 52 = 0. Let r = x - -36. What is the remainder when q is divided by r?
6
What is the remainder when 972 is divided by (312/(-36))/(-26)*15?
2
Let h = 18 - 13. Let d(n) = -6*n**2 + 55*n - 101. Let b(c) = c**2 - 11*c + 20. Let u(r) = 11*b(r) + 2*d(r). What is the remainder when u(-10) is divided by h?
3
Let q(v) = -4*v - 28. Let l be q(-7). Suppose -42 = -2*w + 4*s, 3*w + 13*s - 18*s - 59 = l. What is the remainder when 193 is divided by w?
11
Let v(d) = 3*d**3 + 26*d**2 - 28*d + 82. Let y(x) = -x**3 + x + 1. Let a(c) = v(c) + 4*y(c). Calculate the remainder when 216 is divided by a(25).
105
Let o = -9795 - -9868. Calculate the remainder when o is divided by 10.
3
Let x = 17 + 365. Calculate the remainder when x is divided by (-4 + 2)*(-4)/((-24)/(-105)).
32
Suppose -5*b + 2836 = 4*o, 0 = 3*o - 24*b + 29*b - 2132. What is the remainder when 2116 is divided by o?
4
Calculate the remainder when 10 + (-15)/3 + -223*(-4)/4