51
Suppose -227 = -3*r - 2*g, -3*g = 2*r - 5*r + 222. Calculate the remainder when 671 is divided by r.
71
Let g(i) = 15*i**2 + i - 1. Let n(m) = 2*m**2 + 2*m + 2. What is the remainder when g(1) is divided by n(-2)?
3
Let j = 3637 - 3625. Let m = 132 + -78. What is the remainder when m is divided by j?
6
Let o = 118 + -99. What is the remainder when o is divided by 15?
4
Let u be ((-40)/6)/(18/(-27)). Suppose u*n - 3*n - 385 = 0. Calculate the remainder when n is divided by 14.
13
Suppose -4*l = -4*r + 2*r - 60, -3*r - 56 = -4*l. Suppose 16*o + 133 = l*o. Calculate the remainder when o is divided by 34.
31
Suppose -s = 4*n - 34, 5*s = n + 5 - 3. Let v = 14 + -11. Suppose -v*l - 70 = -n*l. What is the remainder when 26 is divided by l?
12
Let a(v) = v + 5. Let r be a(6). Let w(q) = -q + 17. Calculate the remainder when 13 is divided by w(r).
1
Let w(p) = p**3 + p**2 - 17*p + 3. Calculate the remainder when 43 is divided by w(-4).
20
Let m = 371 - 44. Calculate the remainder when m is divided by 82.
81
Suppose 37*y - 1192 = 2101. What is the remainder when y is divided by 20?
9
Let j(t) = t**3 + 42*t**2 + 40*t - 9. What is the remainder when j(-41) is divided by (-4)/((-48)/27)*4?
5
Suppose 2*j = -2*n + 4, 4*j - 2*j = 4*n - 8. Let g = 6 - n. Let x(s) = -13*s**3 - 2*s**2 + 3*s + 3. Calculate the remainder when x(-1) is divided by g.
3
Let p(g) = 2*g**3 - 23*g**2 - 26*g - 17. What is the remainder when p(13) is divided by 22?
20
Let p(z) = 4*z**2 + 4*z - 8. Let s be p(-4). Suppose -5*v + s = -0*v. What is the remainder when 31 is divided by v?
7
Suppose 79*l + 140 - 1067 = -24*l. Suppose -6 = -3*c - 0. Suppose -4*i = -5*k - 1, 0*i = -c*i + 2*k + 2. What is the remainder when l is divided by i?
1
Suppose z = -4*t + 3*z - 6, -2*t - 4*z + 12 = 0. Let a = t + 2. What is the remainder when 23 is divided by (10 + a)/(4 - 3)?
11
Suppose -4*k = 4*x - 14 - 10, k + 2 = 3*x. Suppose -4*j - 4 = -3*n - 48, 0 = 4*j + k*n - 16. Calculate the remainder when (1060/j)/(-5)*-2 is divided by 14.
11
Let n(t) be the first derivative of 2*t**2 + 33*t - 38. What is the remainder when 15 is divided by n(-6)?
6
Suppose -2*z + 136 = -150. Calculate the remainder when z is divided by 38.
29
Let m(o) = -2*o**3 - 38*o**2 + 31*o - 49. Calculate the remainder when m(-20) is divided by 36.
23
Let u = 87 + 56. Suppose 4*t = 4*z - 124, 0*z - 3*t = -4*z + 130. What is the remainder when u is divided by z?
32
Suppose 14 = a + 16*o - 17*o, 2*a = -5*o + 56. Calculate the remainder when 294 is divided by a.
6
Suppose 44 - 49 = 5*n. Let d = n + 10. Calculate the remainder when 96 is divided by d.
6
Suppose -20*v + 5243 = 1503. Calculate the remainder when v is divided by 49.
40
Suppose 3*d - 1754 + 92 = -3*h, 2*h = 4*d + 1138. What is the remainder when h is divided by 17?
15
Let k be 1*4/4 + -1. Suppose -2*m + 4*c + 74 = 0, k*m = 2*m - c - 65. Suppose 0 = 3*a + 2*b - m, b = 3*b + 8. Calculate the remainder when a is divided by 7.
6
Let q = 30 - 16. Suppose -5*b = 4*u + 8, 2*u - 3*b - q = -b. Let n(o) = -o**3 + 3*o**2 - 3. What is the remainder when u is divided by n(2)?
0
Let f = 1299 - 1269. Calculate the remainder when 142 is divided by f.
22
Let i(d) = -d**3 - 6*d**2 - 2*d - 8. Let v be i(-6). Suppose 812 = v*z + 184. What is the remainder when z is divided by 40?
37
Let x = -164 + 192. Calculate the remainder when 331 is divided by x.
23
Let z(s) = -s**2 + 11*s + 14. Suppose -28 - 245 = -5*h - 4*b, -4*h - 2*b = -216. What is the remainder when h is divided by z(11)?
11
Let s = -126 + 138. Let w(q) = -q**2 - 6*q. Calculate the remainder when s is divided by w(-5).
2
Suppose -2*m - 5*h = 1, 0*m - h = 2*m - 19. Calculate the remainder when 366 is divided by m.
6
Let l(w) = 2*w + 53. What is the remainder when 121 is divided by l(-10)?
22
Let l = 649 + -530. What is the remainder when l is divided by 11?
9
Let f = 97 - 95. Suppose 3*s = 3, -f*s + s = -3*d + 83. Calculate the remainder when 49 is divided by d.
21
Let o = -48 + 94. Let j(s) = 112*s + 1257. What is the remainder when o is divided by j(-11)?
21
Let u = 1132 - 592. Suppose 6*d = -0*d + u. Suppose 0 = 3*w + r + 2*r - 66, 5*r - 18 = -w. Calculate the remainder when d is divided by w.
21
Let i(h) = -9*h**3 - h**2 - 2*h - 2. Let v be (50 - (-2 - -2))*(-27)/(-18). Let y = 93 - v. What is the remainder when i(-2) is divided by y?
16
Suppose 5*g = -2*i + 11 + 15, 3*g + 78 = 4*i. Let d = i + 36. Calculate the remainder when d is divided by 14.
12
Let l(d) = 36*d**2 - d. Let r(u) = 4*u - 18. Calculate the remainder when l(-1) is divided by r(7).
7
Let s(t) = -45*t - 20. What is the remainder when 104 is divided by s(-1)?
4
Let f(p) = p**3 + 6*p**2 + p - 1. Let n(a) = -2*a**3 - 7*a**2. Let o(j) = -4*f(j) - 3*n(j). Calculate the remainder when 75 is divided by o(3).
18
Let i(h) = -h**2 + 13*h + 2. Let d be i(13). Calculate the remainder when 38/d + (6 - 9) is divided by 4.
0
Let i(r) = r**3 + 14*r**2 - 24*r - 31. Suppose 6*y = 7*y - 21. Calculate the remainder when i(-15) is divided by y.
20
Let v = -56 + 60. Suppose -y + v = -2*y, 0 = -3*u + 5*y + 92. What is the remainder when u is divided by 10?
4
Let x(c) = -c**3 + c - 32. Let y be x(0). Let z = -23 - y. Suppose 100 = -81*o + 101*o. Calculate the remainder when z is divided by o.
4
Suppose 318*q = 308*q + 360. What is the remainder when 117 is divided by q?
9
Let d be ((-32)/6)/(8/(-84)). Let a = d + -44. What is the remainder when 22 is divided by a?
10
Suppose 3*s + 1 = l - 0*l, l = 4*s. Suppose -276 = -l*o - 28. What is the remainder when o is divided by 13?
10
What is the remainder when 29 is divided by 2 + (-45)/25 + (-316)/(-20)?
13
Suppose 0 = 9*h - 269 + 8. What is the remainder when 86 is divided by h?
28
Let r(t) = -2*t**3 + 36*t**2 - 34*t + 77. What is the remainder when r(15) is divided by 115?
112
Suppose -4*m + 643 = -l + 133, -4*m + 516 = 2*l. Suppose 0 = 643*w - 651*w + 271 - 7. Calculate the remainder when m is divided by w.
29
Let s be 38*-1 + 2 + 0. Let n(g) = g**2 + 3*g - 5. Calculate the remainder when 4/2 - (s + 14) is divided by n(-6).
11
What is the remainder when 2 - 8 - 4864/(-32) is divided by 74?
72
Let k = 108 - 93. Suppose k = 6*j - 9. Suppose 0 = -4*f - 0 + 40. Calculate the remainder when f is divided by j.
2
What is the remainder when 556 is divided by ((-42)/8)/(33/(-24) + 1)?
10
Let t(y) = -y**2 - 30*y - 81. What is the remainder when t(-24) is divided by 7?
0
Suppose -8 + 98 = 2*t. Let u(p) = p**2. Let g(v) = 5*v**2 - 4*v - 7. Let k(b) = -g(b) + 6*u(b). What is the remainder when t is divided by k(-5)?
9
Let o(a) = -a**3 + 10*a**2 + 10*a - 8. What is the remainder when o(10) is divided by 21?
8
Let g(d) = d + 36. Suppose 1 = a + 2, 2*q + 14 = 4*a. Calculate the remainder when 103 is divided by g(q).
22
Let r be 6/(-4)*(-8)/6. Suppose 0*c + c - 9 = 5*g, -r*c = -3*g - 4. Let p = 6 - c. Calculate the remainder when 11 is divided by p.
4
Suppose 5*m = t - 612, -2*t = -m - t - 124. Let x = m - -136. What is the remainder when 123 is divided by x?
11
Let v = 3166 + -3079. What is the remainder when v is divided by 56?
31
Suppose -252 = 26*z + 2*z. Let l(g) = g**2 + 16*g + 70. Let y = 52 + -36. What is the remainder when y is divided by l(z)?
2
Suppose -4*m - 158 = 22. Let o = m - -92. Calculate the remainder when 23 is divided by o/6 + (-1)/(-6).
7
Let s(k) = -32*k**3 + k. Let v be s(-1). Let c(n) = -n. Calculate the remainder when v*(1/1)/1 is divided by c(-8).
7
What is the remainder when 0 + 0 + 0 - -112 is divided by ((-81)/(-135))/(21/805)?
20
Let r(g) = -g**2 + 7*g - 10. Let d be r(4). Suppose -2*u - d*m - 96 = u, -2*u + 4*m - 64 = 0. Let h = 22 - u. What is the remainder when h is divided by 19?
16
Let z(k) = -k - 13. Let n(y) = -2*y - 14. Let i(t) = 3*n(t) - 4*z(t). Calculate the remainder when i(-7) is divided by (-4)/6*39/(-2).
11
Let x = 734 - 625. What is the remainder when x is divided by 6?
1
Suppose -43*d + 20 = -47*d. Let w = 13 + d. Calculate the remainder when 39 is divided by w.
7
Suppose 5*m - 255 = -5*b, m = -5*b + 9*b - 184. Calculate the remainder when 1*b + -6 + (1 - -3) is divided by 17.
11
Let s(b) = 20*b + 208. Suppose 5*c - 55 = -5*g, 0*c + 2*g = -4*c + 54. Calculate the remainder when s(-9) is divided by c.
12
Let h(c