is divided by 25.
2
Suppose -55*w = -57*w + 4. Suppose -228 = -w*h - k, -161 + 38 = -h + 4*k. What is the remainder when h is divided by 24?
19
Suppose -3 = -2*k + g, -2*k - 3*g - 9 = k. Let b(x) = -1 + 4*x + k + 3*x - 5*x. Calculate the remainder when 8 is divided by b(3).
3
Suppose -397*q - 384 = -403*q. What is the remainder when 124 is divided by q?
60
Suppose 2*y - 5 = -4*p + 13, 0 = 2*p - 2*y - 18. What is the remainder when (-13 - -14)/((-2)/(-40)) is divided by p?
2
Let z(y) = -y**3 - 4*y**2 - 17*y - 29. What is the remainder when 74 is divided by z(-3)?
9
Suppose 192 = -p + 6*p - t, 150 = 4*p - 2*t. What is the remainder when 1011 is divided by p?
36
Suppose -2*q = -q - 37. Let t(d) = 23 - 35*d + 20 - 7 + 2*d**2. What is the remainder when q is divided by t(17)?
18
Let q(p) = p**3 + 10*p**2 + 11*p + 12. Calculate the remainder when q(-8) is divided by 4/(-10) - (-194)/10.
14
Suppose -4*l - 5*q + 84 = 0, 16*l - 2*q = 11*l + 105. What is the remainder when 31 is divided by l?
10
Suppose 5*l = 8 + 12. Let r(d) = 5*d + 8. Let t be r(l). Suppose -5 = h - t. What is the remainder when h is divided by 12?
11
Let l(d) = 5*d - 5. Let p(x) = 2*x - 7*x + 7*x - 5. Calculate the remainder when l(4) is divided by p(7).
6
Let k be ((-24)/10)/(18/(-60)). Suppose -28 - 108 = -k*o. Calculate the remainder when 64 is divided by o.
13
Let a(v) be the first derivative of 4*v**3/3 + v**2 - v - 15. Calculate the remainder when 102/4*20/30 is divided by a(1).
2
Let g(j) = j**2 + 59*j + 773. What is the remainder when 114 is divided by g(-19)?
10
Suppose 2*h - 5*w - 466 = 0, -6*h + 8*h - 3*w = 462. Calculate the remainder when h is divided by 29.
25
Suppose -h + 330 = 3*h + u, h - 80 = u. Suppose 2*o = -2*p + p + 22, -h = -3*p + 2*o. What is the remainder when 129 is divided by p?
25
Suppose -2*s - 37 = -55. What is the remainder when 32 is divided by s?
5
Let g(k) = 3*k - 9. Let z be g(-9). Let s = -10 - z. Let l = -46 + 55. What is the remainder when s is divided by l?
8
Suppose m = 2*x + 226, 5*m = m - x + 877. What is the remainder when m is divided by 35?
10
Let v(m) = -m**2 - 9*m + 9. Calculate the remainder when (-176 - 0)/(-13 - -11) is divided by v(-7).
19
Suppose 2*g - 28 = 2*j - 0*g, -3*j = 3*g + 24. Let n = -13 - j. Let q = 9 + n. What is the remainder when 26 is divided by q?
5
Let p = -16 + 15. Let d = p + 1. What is the remainder when 1 + 17 + d + -2 is divided by 9?
7
Let g = -29 - -78. Let t = 803 + -778. What is the remainder when g is divided by t?
24
Let j be -6*4/(16/(-2)). Suppose -2 + j = t + b, -3*t + 1 = 5*b. Let q(u) = 5*u**3 + 3*u**2 - 2. Calculate the remainder when q(t) is divided by 18.
14
Suppose -2*s + 439 = -3*y - 47, -s - y + 243 = 0. What is the remainder when s is divided by 62?
57
Let j = 223 - 145. Suppose 258 - j = 4*l. What is the remainder when l is divided by 12?
9
Let v = -512 - -329. Let j = 331 + v. Calculate the remainder when j is divided by 17.
12
Suppose 18 = 2*d + 7*d. Suppose 17 - 69 = -4*t + 2*q, q - 26 = -d*t. Calculate the remainder when 50 is divided by t.
11
Let w(r) = 3*r**2 + 6*r - 6. Suppose -17*x + 6*x = -187. What is the remainder when w(-6) is divided by x?
15
Suppose 226 = t - 5*v, -4*t + 0*v + 794 = 2*v. What is the remainder when t is divided by 29?
27
Let p(s) = -s**2 + 8*s + 3. Let w be 4/(-18) - (6670/45)/(-1). Suppose 207 = 5*v - w. Calculate the remainder when v is divided by p(5).
17
Suppose -a = 4*y - y - 6, 3*y = 5*a - 66. Let g be 4/10 + 4/(-10). Suppose -4*i = 4*w - g*w, -4*i = -4*w + 40. What is the remainder when a is divided by w?
2
Let c(y) = -y**3 + 6*y**2 - 4*y - 7. Let h be c(5). Let b(f) = -15*f**3 - 5*f**2 - 2*f + 4. What is the remainder when b(h) is divided by 14?
10
Let c = 955 - 644. Calculate the remainder when c is divided by 13.
12
Let q be (-182)/(-52)*(-160)/(-14). Let s = 77 - q. Calculate the remainder when s is divided by 13.
11
Let a = -269 - -365. Calculate the remainder when a is divided by 34.
28
Let t = -1 + 3. Suppose q - t = -h + 6, 3*h + 5*q = 22. Suppose -5*i - s = -75, -3*i - s = -2*i - 11. Calculate the remainder when i is divided by h.
7
Let r be (-12)/(-66) - 304/(-22). Suppose -5*c = -r - 1. Calculate the remainder when 32 is divided by c - -2*(-30)/(-4).
14
Let j(f) = -f**2 + 6*f - 6. Let t be j(4). Suppose -5*c = -0*w + 4*w - 124, -t*w + 62 = -2*c. Calculate the remainder when 60 is divided by w.
29
Suppose 5*g + 163 = -497. What is the remainder when 30 is divided by (-3)/12 - g/16?
6
Let p(f) = f**3 - 6*f**2 - 3*f + 6. Let n be p(5). Let w = -2 - n. Let q = w + -23. What is the remainder when 35 is divided by q?
8
Let s(y) = -y**2 - 3*y - 7. Let v be s(-2). Let r(z) = -z**3 - 5*z**2 - z - 1. What is the remainder when r(v) is divided by 4?
0
Let q(t) = -15*t + 137. Calculate the remainder when 117 is divided by q(8).
15
Suppose 3*b + n - 58 = 0, 4*n + 94 = 5*b + 3*n. Suppose 0 = 123*y - 148 - 5264. Calculate the remainder when y is divided by b.
6
Suppose 0*t - 2*t = -2, 3*g - 2 = -2*t. What is the remainder when 9 is divided by (g - 5/4)*-4?
4
Suppose -2*q = -6*q + 172. Suppose 5040 = 22*u + 18*u. Calculate the remainder when u is divided by q.
40
Let k(l) = 3*l**2 - 3*l - 3. Suppose 3*i = -2*h + 40, -2*h = -i - 4*i - 40. What is the remainder when k(-4) is divided by h?
17
Suppose 0 = q - 9 + 2. Let u(t) = t**2 + 5*t - 173. Calculate the remainder when q is divided by u(-16).
1
Let q be (0 + (-732)/(-8))*(-1 + 3). Let p = q - 123. What is the remainder when 237 is divided by p?
57
Suppose 0 = 4*f + 8 - 44. Let p(t) = -2*t**3 + 57*t**2 - 28*t + 34. Calculate the remainder when p(28) is divided by f.
7
Let y(l) = -35*l - 163. Calculate the remainder when y(-8) is divided by 20.
17
Let t = -622 - -635. What is the remainder when 34 is divided by t?
8
Suppose -m - 16 = -23. Suppose 2*s = -m*s + 270. Calculate the remainder when s is divided by 8.
6
What is the remainder when 689 is divided by ((-4)/(-12))/(8/1104)?
45
Let k(a) = a**2 + 8*a - 2. Let i be k(-6). Suppose -r - 2*d + 1 = -0*r, -d = -4*r - 23. Let q = r - i. What is the remainder when 44 is divided by q?
8
Suppose 0 = -5*q + 11 - 511. Let t = 167 + q. Calculate the remainder when t/2 - 6/12 is divided by 9.
6
Suppose -2*f + 30 = f. Let o(s) = 15*s**2 - 2 + 15*s + 15 + 6 - s**3. What is the remainder when f is divided by o(16)?
1
Suppose -4*p + 5*j + 7 = 0, 2*j + 16 = -5*p - 0*j. Let i = p - 30. Let d = -19 - i. What is the remainder when 49 is divided by d?
10
Suppose 27 = 8*y - 5. Let w = -21 - -34. What is the remainder when w is divided by 6/(-3) + y + 3?
3
Let q(l) = -10 + 30 - 255*l + 256*l. What is the remainder when 27 is divided by q(-10)?
7
Let l(c) = -2*c - 5. Let t be l(-7). Suppose 14*n - t*n - 105 = 0. Calculate the remainder when 60 is divided by n.
18
Let g(p) = -4*p - 34 + p + 33. Let l be g(-1). Suppose 2*o + l = 4*o. Calculate the remainder when 1 is divided by o.
0
Let k(x) be the second derivative of x**5/20 + 7*x**4/12 + x**3/3 + 2*x**2 - 17*x. What is the remainder when k(-3) is divided by 7?
6
Suppose -4*y + 3*o - 2*o - 1 = 0, -3*y = -4*o + 4. Suppose 7*b - 312 - 143 = y. What is the remainder when b is divided by 6?
5
Suppose -226 = -o + 15*q - 17*q, 4*q - 896 = -4*o. Calculate the remainder when o is divided by 74.
0
Suppose -5*f - 5*j + 17 = -38, 4*j - 4 = 0. Suppose 11*l = f*l + 56. Calculate the remainder when l is divided by 15.
11
Suppose 330 = 18*u - 13*u. What is the remainder when u is divided by 40?
26
Suppose -11*c = -3*c - 272. Suppose 0 = 3*q - 221 + 23. What is the remainder when q is divided by c?
32
Let l = -313 + 615. Suppose 6*z = 2*d + 2*z - 308, 2*d - 2*z - l = 0. What is the remainder when d is divided by 25?
23
Let s be (-4)/(-10) + (-552)/(-20). Let q = -18 + s. What is the remainder when q is divided by (-4)/(-5) - 338/(-65)?
4
Suppose 8*q - 3*q = 555. Let u = q + -82. Calculate the remainder when u is divided by 16.
13
Let k(x) = 2*x - 14. Let v be k(8). Suppose 5*l - 87 = v*l. Let z = 262 - 149. Calculate the remainder when z is divided by l.
26
Let a be (4 + 8/5)/((-2)/25). Let v = a - -74. Suppose n + 33 = 4*n. What is the remainder when n is divided by v?
3
Suppose f - 8 - 5 = 0. Suppose 45 = 16*c - f*c. Let t(l) = -l**3 - 7*l**2 -