8
Suppose r = 4, 5*w - 2*r - 12 = w. Let p = w - 8. Calculate the remainder when 57 is divided by 25*(p - (-19)/5).
17
Let s(f) = -f**2 + 17*f - 47. Suppose 73 = t - 0*t. Calculate the remainder when t is divided by s(11).
16
Let v(z) = -3*z + 245. What is the remainder when v(42) is divided by 40?
39
Suppose -3 = 3*l, -2*g + 23 = -l + 4*l. What is the remainder when 348 is divided by g?
10
Let c(b) = -b + 8. Let u be c(3). Calculate the remainder when 167 is divided by (-2)/(-60)*u + 257/6.
38
Suppose 29 = 4*n - 3. What is the remainder when 22 is divided by n?
6
Suppose -d + 6 = 2*d. Let v(j) = -15*j - 10. Let n be v(5). What is the remainder when (-11 - -1)*34/n is divided by d?
0
Suppose -5*d - 5*c - 2 = -17, 2*d - 5*c = -15. Suppose 5*v + 245 = 5*r, 0 = -d*v - 3*v - 15. What is the remainder when r is divided by 25?
19
Suppose u - 6 = -2. Suppose 0 = -3*m + u*m + 7. What is the remainder when (m - -8)/(2/10) is divided by 4?
1
Let c(z) = 117*z**2 - 35*z + 113. Calculate the remainder when c(3) is divided by 76.
73
Calculate the remainder when (-1034)/(-8) - 39/156 is divided by 59.
11
Suppose -q + 18 = -0*q + 4*a, 2*q - 42 = -2*a. Let s(i) = -i**3 + 8*i**2 - 6*i - 3. Calculate the remainder when s(5) is divided by q.
20
Let s(n) = -17*n**3 + 1. Let z be s(1). Let r = 6 - z. Let v(f) = f**2 - 8*f - 21. What is the remainder when v(14) is divided by r?
19
Let b = 31 + -28. Suppose b*a = 7*a - 44. Calculate the remainder when 32 is divided by a.
10
Let r be (0 + 1 + -64)/(-1). Suppose -3*m = 3*g - r, 2*g + g + m - 57 = 0. What is the remainder when 68 is divided by g?
14
Let u be (504/40)/((-2)/(-10)). Suppose 8*a - 57 = u. What is the remainder when 71 is divided by a?
11
Suppose 0 = -55*l + 54*l + 31. Suppose l + 29 = 4*o. Calculate the remainder when 57 is divided by o.
12
Suppose -q = -3*n + 16, 2 = n - q - 2. What is the remainder when (-66)/(-4) + 4/8 is divided by n?
5
Let n(k) = 8*k + 133. What is the remainder when 2203 is divided by n(-14)?
19
Suppose 5*i - 90 = -4*i. Calculate the remainder when i is divided by 7.
3
Suppose -w - 124 = -2*y - 45, w + 161 = 4*y. What is the remainder when 48 is divided by y?
7
Suppose -2*t - 3*t + 185 = 5*r, -3*r + 2*t = -111. Let a = 44 - r. What is the remainder when 39 is divided by a?
4
Suppose 0 = m - 5*l - 32, -2*m + 5*l = 8*l - 103. What is the remainder when 232 is divided by m?
44
Let d = -1517 + 1521. Calculate the remainder when 298 is divided by d.
2
Suppose 38*g + 5*i - 32 = 35*g, -2*g = 3*i - 22. Suppose -4*y - 195 = -5*k + 160, 3*y + 82 = k. What is the remainder when k is divided by g?
11
Suppose 2865 = 18*w - 4785. What is the remainder when w is divided by 33?
29
Let y = 115 + -2. Calculate the remainder when y is divided by 20.
13
Let x = -23 - -28. Suppose -x*q + 20 = 0, 4*g - 76 = 3*q - q. What is the remainder when 61 is divided by g?
19
Suppose 2*z + 5*l - l = 48, -2*l = -5*z + 168. What is the remainder when z is divided by 6?
2
Suppose 0 = 5*g - 6*g - 54. Let k = 80 + g. What is the remainder when k is divided by 14?
12
Calculate the remainder when (6/4)/(-15 + (-2766)/(-184)) is divided by 6.
4
Let t be 396/(-154)*28/6. Let n(j) = -j**3 + j**2 + 2*j. Let g be n(2). Calculate the remainder when 62 is divided by (g + 3)/(t/(-64)).
14
Suppose 6*i = i + 80. Suppose 67*d - 68*d + i = 0. What is the remainder when 61/(-5)*(-10)/2 is divided by d?
13
Let y = -42 - -110. Let v be (-2)/12 + (-245)/42. Calculate the remainder when y is divided by 0 + -1 - (v + 18)*-2.
22
Let n(l) = -6*l**3 + 5*l**2 + 15*l + 5. Calculate the remainder when 168 is divided by n(-2).
39
Suppose -2*r + 6 = 0, 4*s - 2*r - 130 = -0*r. Let c(k) = 241*k - 2276. What is the remainder when c(10) is divided by s?
32
Let y(j) = 13*j**3 + j**2 - j - j**2 - 16*j**3. Let m be y(-1). Suppose -s = 4*b - 21 + 4, -23 = -m*b + s. What is the remainder when 12 is divided by b?
2
What is the remainder when 591 is divided by ((-308)/(-112))/((7/24)/7)?
63
Suppose -3*l + 4*g + 90 = -l, 3*g - 162 = -3*l. Calculate the remainder when l is divided by 32.
19
Suppose 83 = y + 4*m, -3*y + 2*y + 78 = 3*m. Suppose 3*x - 279 = y. Let w = x + -79. Calculate the remainder when w is divided by 9.
8
Let p = 249 + -240. What is the remainder when p is divided by 6?
3
Suppose 576*a - 577*a = -71. What is the remainder when a is divided by 67?
4
Suppose 0 = 4*g - g - 12. Calculate the remainder when (-189)/(-36) - (-2)/(-8) is divided by g.
1
Let r(a) = 3*a**2 - 9*a + 10. Let i be r(5). Let s = 49 - i. What is the remainder when s is divided by 3?
0
Let t(m) = m - 10. Let w be t(13). Let v(g) = 3*g**w + g**3 - 2 + 0 - 3*g - 2*g**3. What is the remainder when v(3) is divided by 11?
10
Suppose -4*v + 160 = -4*k, 2*k = -3*k + 3*v - 198. Let d = k + 56. What is the remainder when 32 is divided by d?
15
Let m(b) = -101*b - 7. Calculate the remainder when m(-1) is divided by 24.
22
Suppose -21 = -4*m + 39. Let j(a) = -2*a - 5. Let v be j(5). Let b = -7 - v. What is the remainder when m is divided by b?
7
What is the remainder when 1 - (-102 - 2 - 2/1) is divided by 44?
19
Suppose 2*o - 14 = f - 2, 2*f - 21 = -5*o. Let q = 26 + f. What is the remainder when q is divided by 13?
11
Let f = 50 - 30. Suppose -f*h + 22*h - 340 = 0. Calculate the remainder when h is divided by 19.
18
Let c be (0/(-5))/(2 - -1). Let r be 1/((-1)/(13 - c)). Calculate the remainder when ((-11)/(-5))/(r/(-65)) is divided by 6.
5
Suppose 4*s = 8 - 0. Suppose -4 = s*u - 4*b, -2*b = -u - 3*b + 7. Suppose u*f + 2*l = 130, f + l + l - 34 = 0. What is the remainder when f is divided by 17?
15
Suppose -3*u = 2*u + 15. Let p = 25 + u. Suppose 5*h + 270 = 5*b - 165, 3*h + 93 = b. What is the remainder when b is divided by p?
18
Let s(t) = t**3 - 5*t**2 - 27*t - 42. Calculate the remainder when 92 is divided by s(9).
14
Suppose -j + 19 = 5*n, 7 = 3*j + 4*n - 28. What is the remainder when 16 is divided by j?
7
Suppose 0 = -2*k + 2*x + 30, -2*k + 13 = 2*x - 13. Let n = 163 + -141. What is the remainder when n is divided by k?
8
Let u(f) be the first derivative of f**3/3 + 3*f**2 + 14*f + 1. What is the remainder when u(-7) is divided by (-1 - (-36)/(-8))*-2?
10
Let l = -1479 + 1647. Calculate the remainder when l is divided by 10.
8
Suppose -2*d + 188 = 2*d. What is the remainder when d is divided by 27 + 4/(4 + -6)?
22
Let x be (0 - (-74)/26) + 58/377. Let f(v) = 14*v + 4. What is the remainder when f(x) is divided by 25?
21
Let l = 317 - 295. Let o = 75 - 12. What is the remainder when o is divided by l?
19
Suppose -50*x + 4143 + 15357 = 0. Calculate the remainder when x is divided by 40.
30
Suppose -7*q = -5*q - 58. Let p = q + 9. Suppose 34 = 4*b - p. Calculate the remainder when b is divided by 10.
8
Let w = -5 - -12. Let u = -31306 - -31347. Calculate the remainder when u is divided by w.
6
Let j(c) = -c + 1. Let z be j(-15). Suppose -14*h + z*h = -12. Calculate the remainder when 4 is divided by ((-3)/(-6))/(-1)*h.
1
Let x = -295 - -323. What is the remainder when x is divided by 6?
4
Let v = 2 - 1. Let m = 50 - 47. Calculate the remainder when m*1/3 + 1 is divided by v.
0
Suppose k - 3*i = 41, k - 173 = -2*k - i. Let d = -37 + 56. Calculate the remainder when k is divided by d.
18
Suppose 3*x = 4*x - 3. Suppose -3*c - 9 = 0, 4*i + x*c - 62 = -7. What is the remainder when 29 is divided by i?
13
Let w(q) = -2*q - 4*q + 3*q**2 - 4*q**2. Let g be w(-6). Suppose g = h - 26 - 4. Calculate the remainder when 57 is divided by h.
27
Suppose 0 = 14*w - 15*w + 18. Suppose w = 5*t + 58. Let i(h) = -h + 14. What is the remainder when i(t) is divided by 12?
10
Suppose 0*q + 336 = 4*q - 2*x, -x = 4*q - 324. Let w = 2 - -3. Suppose -18 = -w*v + 87. What is the remainder when q is divided by v?
19
Let x = 34 - -285. What is the remainder when x is divided by 13?
7
Let n(f) = -f**3 + 12*f**2 + 14*f + 9. Let k = 0 - -13. Let w = -26 - -31. Calculate the remainder when n(k) is divided by w.
2
Let r be 1773/12 + (-2)/(-8). Let p = r + -104. Suppose 3*m = 68 - 23. What is the remainder when p is divided by m?
14
Suppose -5*m = 19*x - 15*x - 1500, 5*m + 1920 = 5*x. What is the remainder when x is divided by 78?
68
Let s(k) = k**3 + 21*k**2 + 43*k + 19. What is the remainder when s(-8) is divid