. Calculate the remainder when 54 is divided by q.
6
Suppose -2*d - 5*n = -0*d - 25, -44 = -3*d - n. Let f(j) = 3*j - 7. What is the remainder when 111 is divided by f(d)?
35
Let y(t) be the second derivative of -t**5/20 + 5*t**4/6 + 11*t**3/6 + 5*t**2/2 - t. What is the remainder when 9 is divided by y(11)?
4
Suppose 2*h + 2*h - 44 = 0. Let b(w) = 25*w - 5. Let y be b(3). Let u = y + -38. What is the remainder when u is divided by h?
10
Suppose 11*m - 7*m - 4*z - 40 = 0, 0 = 2*m + 2*z - 24. Suppose 2*x - 6*x + 156 = 0. Suppose -161 - x = -5*h. Calculate the remainder when h is divided by m.
7
Let q(t) = 2*t + 54. Suppose -2*j + 17 = -5*l, -3 - 3 = -3*j + l. Suppose -y + 32 = -h + j, 2*y + 2*h = 42. Calculate the remainder when q(11) is divided by y.
24
Suppose -3*x - 14*m = -9*m - 182, -m = 4*x - 220. Calculate the remainder when 175 is divided by x.
13
Suppose 0 = 3*w - 401 - 115. Let t = -125 + w. What is the remainder when t is divided by 18?
11
Suppose 10 = -0*k + k. Suppose -2*s - 124 = 4. Let j = s + 103. Calculate the remainder when j is divided by k.
9
What is the remainder when 124 is divided by -7 + 357/14 - (-2)/(-4)?
16
Let o(l) = -6*l + 75. Suppose 0 = -3*m - 15, -2*m - 37 = 3*t - 6*t. Calculate the remainder when o(t) is divided by 13.
8
What is the remainder when (-12*50/(-45))/(4/72) is divided by 112?
16
Suppose -w + 32 = 2*l - 12, -109 = -5*l - 2*w. What is the remainder when l is divided by 13?
8
Suppose -2*a + a = -2. Let m(t) = -4*t - 34. Let d be m(-10). What is the remainder when -1*a/(d/(-57)) is divided by 7?
5
Suppose 74 = -5*j + 614. What is the remainder when j is divided by 37?
34
Suppose 0 = 2*n - 14 - 26. Suppose -n = -2*v + 2*k - 6, -5*v - 3*k = -11. What is the remainder when 5 is divided by v?
1
Let v(t) = -14*t. Calculate the remainder when v(-3) is divided by ((156/20)/(-13))/((-230)/75 + 3).
6
Suppose -20 = -39*f + 877. What is the remainder when 129 is divided by f?
14
Let l(h) = -h**2 - 25*h - 15. What is the remainder when 18 is divided by l(-24)?
0
Suppose 25 = 3*n - 5*f - 0*f, 0 = -n + 5*f + 25. Suppose u + 0*u + b - 4 = 0, n = 3*b. What is the remainder when 13 is divided by u?
1
Suppose -2*a = -3*n + 5*n - 34, 4 = -4*n. Suppose -435 = -5*m - 5*z, -163 = -3*m - 2*z + 98. Calculate the remainder when m is divided by a.
15
Calculate the remainder when -5 + 187/2 - (-6)/(-4) is divided by 26.
9
Suppose -9*t + 2118 - 2037 = 0. Calculate the remainder when 79 is divided by t.
7
Let p(o) be the third derivative of 4*o**5/15 + 5*o**4/8 + 22*o**2. Calculate the remainder when p(-3) is divided by 13.
8
Suppose -81*b - 14 = -82*b. What is the remainder when 94 is divided by b?
10
Suppose -137 - 123 = -3*l - 5*n, 2*n = -4*l + 328. Suppose -22*y = -17*y - l. What is the remainder when 61 is divided by y?
13
Let f(u) = 25*u + 4. Let z(p) = -24*p - 3. Let q(b) = -2*f(b) - 3*z(b). Let l be q(-3). Let d = -12 - l. Calculate the remainder when d is divided by 14.
11
Suppose -3*h - 2 = 10. Let d = h + 3. Let i(l) = -18*l + 2. What is the remainder when i(d) is divided by 7?
6
Let k = -12 + 22. Let u = k - 21. Let b = 2 - u. What is the remainder when b is divided by 4?
1
Let z = 61 + -51. What is the remainder when 36 is divided by z?
6
What is the remainder when 138 is divided by 4 + (-21)/49*-21?
8
What is the remainder when 49762/1251 - (22/(-18) + 1) is divided by 15?
10
Suppose -2*a + 3*a + f - 70 = 0, -5 = 5*f. What is the remainder when a is divided by 62?
9
Let k(g) = -10*g - 3 - 7 + 6*g + 3. Let f = -24 + 17. Calculate the remainder when 61 is divided by k(f).
19
Let t be ((-162)/15)/(3/(-30)). Suppose -68 = -8*u + t. Calculate the remainder when 108 is divided by u.
20
Let s(k) = k**3 - 3*k**2 - 7*k + 6. Let n be s(4). Let l = -4 - -7. Calculate the remainder when 30 is divided by (-44)/n - (-2)/l.
6
Suppose 0 = -44*c + 2924 + 1828. Calculate the remainder when c is divided by 97.
11
Let m = 9 + -26. Let n = m - -27. What is the remainder when 28 is divided by n?
8
Suppose 4*m + 20 = 3*n - 35, n - 25 = 3*m. Let g = -333 + 382. What is the remainder when g is divided by n?
10
Let i(t) = t**2 - 3*t - 1. What is the remainder when 497/7 + -3 + -1 is divided by i(-3)?
16
Suppose 3*q - 4 = -v + 2, 10 = 2*v + 5*q. Suppose -25*y + 23*y + 16 = v. What is the remainder when 23 is divided by y?
7
Suppose 1 - 811 = -10*x. Calculate the remainder when x is divided by 17.
13
Let c(t) = t**2 + t - 7. Calculate the remainder when (-764)/(-20) - 32/(-40) is divided by c(-6).
16
Suppose -2 = -3*v - 3*x + 16, -3*v = 4*x - 21. Suppose -g + 23 = -4*h, -2*h - v*h - 13 = g. Calculate the remainder when (2*13 - 0) + 0 is divided by g.
5
Suppose 2*g + 8 = 0, -1418 = -5*q - 0*g - 3*g. Let j = q + -178. Calculate the remainder when j is divided by 55.
53
Suppose q - 22 = 44*i - 49*i, -2*q + 5*i - 1 = 0. Calculate the remainder when 19 is divided by q.
5
Let x(u) = -8*u + 3. Let v be x(5). Suppose -3*c + 228 = -6*c. Let b = v - c. What is the remainder when b is divided by 10?
9
Let m = -44 - -34. Let r(w) = -2*w**2 - 21*w + 9. Calculate the remainder when 113 is divided by r(m).
18
Let c(l) = -76*l - 6. What is the remainder when c(-2) is divided by 38?
32
Let s(u) = 2*u**2 + 4*u - 1. Let m be s(-3). Suppose -m*n - 10 = -3*n. Let g(c) = -c**2 - 8*c - 4. Calculate the remainder when 20 is divided by g(n).
9
Let x = 23 + 90. What is the remainder when x is divided by (-12)/(-2) + 20 - (1 - -2)?
21
Let w be (34/2)/(2/(-2)). Let u = -4 - w. What is the remainder when 115 is divided by u?
11
Suppose 2*j - 5*i - 45 = 0, i = -4*j - 0*i + 79. Suppose -a = -0*a - j. What is the remainder when (-357)/(-9) - 4/6 is divided by a?
19
Suppose -10*c + 13*c = 111. Let q(p) = p**3 + 19. Let m be q(0). Let y = -6 + m. What is the remainder when c is divided by y?
11
Suppose -3*p - 2*p = -5*a + 110, 5*p = -2*a + 9. Suppose n = 3*i - 13 - 11, 0 = 5*n + i + 56. Let m = a - n. What is the remainder when m is divided by 11?
7
Suppose 4 = -18*c + 19*c. Suppose 167 = c*u + 15. Calculate the remainder when u is divided by 11.
5
Suppose -p + 3*q = 3, 6*p + 5*q - 5 = p. Suppose r - 6*r - 2*y + 11 = 0, -r + 2*y - 5 = p. Calculate the remainder when 34 is divided by (r - -20) + (-3)/1.
16
Suppose -3*s = 2*s - 85. Suppose -2*k = -s + 7. Let l = 32 - 25. Calculate the remainder when l is divided by k.
2
Suppose -n - 2 = 1. Let y = -2 - -1. What is the remainder when (-16)/(-1*y/n) is divided by 17?
14
Let z(y) = y + 4. Let d be z(0). Suppose 0 = 3*l + d*i - 22 - 15, i = 1. Calculate the remainder when 20 is divided by l.
9
Suppose -3*d + 12 = 0, -2*c - 7*d = -11*d - 534. Calculate the remainder when c is divided by 46.
45
Suppose -x - 3*o = 3*x - 28, -3*o = 0. Let i = -42 + x. Let t = i - -49. What is the remainder when t is divided by 9?
5
Suppose 0*j = j + 6. Let k = j - -26. Calculate the remainder when k is divided by 8.
4
Suppose -2*w + 6 = -2*g + 168, -2*g + 169 = 5*w. Calculate the remainder when 241 is divided by g.
77
Suppose -5*n - 2*v = 48, 0 = 3*n - n - v + 12. Let t = 9 + n. Calculate the remainder when (t - (3 + 5))/(-1) is divided by 3.
1
Let i(m) = -m**3 - 10*m**2 - 10*m - 8. Let j be i(-9). What is the remainder when -2 + (14/(-28))/(j/(-136)) is divided by 14?
10
Suppose v + v - 52 = -4*n, -3*v + 52 = 4*n. What is the remainder when 75 is divided by n?
10
Let a(s) = s**2 + 2*s - 1. Let r be 554/22 - ((-228)/(-44) + -5). Let k(p) = -2*p + 91. What is the remainder when k(r) is divided by a(-5)?
13
Let t(p) = -2*p**3 + p**2 + 1. Let v be t(2). Let c be 211/(-5) - v/55. Let s = c + 73. Calculate the remainder when s is divided by 8.
7
What is the remainder when 106 is divided by 174/16 + 65/520?
7
Let x = 11 + -7. Suppose 0 = x*y - 17 - 71. Let u = 32 - y. What is the remainder when 28 is divided by u?
8
Suppose 5*c = c + 12. Suppose 0*n + 4*i = -n + 23, -2*i - 27 = -c*n. Calculate the remainder when 21 is divided by n.
10
Let j(z) be the first derivative of 2*z**3/3 - z**2 + 2*z - 127. Let d = 3 + -1. Calculate the remainder when 29 is divided by j(d).
5
Suppose 3*c - 61 = 2*n - 19, n - 35 = -2*c. Let q = 21 + -17. Suppose -3*b - 2 = q*y - 0, -b = -4*y - 26. Calculate the remainder when c is divided by b.
4
Let o(f) = 10*f + 3. Let b = 252 + -2