nder when 55 is divided by r.
17
Let m(q) = 2*q**2 + 29*q + 28. What is the remainder when m(-16) is divided by 39?
37
Let y(d) be the third derivative of -d**6/120 + d**5/12 + d**4/12 - d**3/2 + 2*d**2. What is the remainder when 13 is divided by y(5)?
6
Suppose -h + 8 + 6 = 0. What is the remainder when 27 is divided by h?
13
Let i(q) = -3*q + 2. Suppose -3*x = -5*f - x + 47, 71 = 5*f + 4*x. Let o be f/(-3) + 14/21. Calculate the remainder when 21 is divided by i(o).
10
Let d = -41 + 72. Suppose f - d = -5*m, f + 2*f = m + 61. Calculate the remainder when f is divided by 11.
10
Suppose u + 2*u = 27. Let b(m) = 3*m - 4*m + m**3 - 3 + 4*m**2 - 4*m + 3*m. What is the remainder when u is divided by b(-4)?
4
Let d = 6 + 7. Suppose -148 = -4*a - 0*a. Suppose 2*h - a = h. What is the remainder when h is divided by d?
11
Calculate the remainder when 9 is divided by 4/(12 + 0)*9.
0
Suppose -3*o + 58 = k, o + 310 = 5*k + 6*o. Calculate the remainder when k is divided by (-63)/(-5) - 4/(-10).
12
Let o(q) = -q**2 + 16*q + 13. What is the remainder when o(14) is divided by 11?
8
Let d be -1 + (-2 - -2)/(-2). Let x be d/((-3 + 1)/6). Calculate the remainder when 25 is divided by (-2 + x + -27)/(-2).
12
Let l = 7 + -12. Let a be (l - 15)*(-4)/(-5). Let k = 9 - a. What is the remainder when k is divided by 13?
12
Let d be (4/(-8))/((-2)/8). Suppose -h + 5*h + 96 = -3*q, -q = -d*h + 32. Let s = -12 - q. Calculate the remainder when s is divided by 7.
6
Let m be (-1 + 3 - 7) + -4. Let t = m - -15. What is the remainder when 10 is divided by t?
4
Let h(n) = 3*n**2 - 11*n + 2. Let y be h(8). Let i = y - 75. Suppose -l = -4*l + 33. Calculate the remainder when i is divided by l.
9
Suppose 0 = 2*r - 4*p - 103 + 17, r + 5*p - 36 = 0. What is the remainder when 121 is divided by r?
39
Let r(m) be the first derivative of 15*m**2/2 - m - 2. What is the remainder when r(3) is divided by 23?
21
Let s(a) = -a**3 - 9*a**2 + 8*a - 10. Calculate the remainder when 19 is divided by s(-10).
9
Let n = -4 - -21. Suppose w - i = 14, 0*i + 2*i = w - n. Suppose -4*v - 3*h + 100 = h, -40 = -v - 4*h. Calculate the remainder when v is divided by w.
9
Suppose 3*j + 6 = -5*b, 2*b - 3*b = -2*j + 9. Suppose 0*d + 2*d = 0, j*u + 4*d - 111 = 0. Let h = u + -20. Calculate the remainder when 50 is divided by h.
16
Suppose 13 = 7*i - 8. What is the remainder when 5 is divided by i?
2
Let u(n) = -n**3 - 22*n**2 + 23*n + 5. What is the remainder when 21 is divided by u(-23)?
1
Let z = -3 + 8. Suppose w = 4*g + 1, -z*g - 29 = w - 3*g. Let y = w + 27. Calculate the remainder when 13 is divided by y.
5
What is the remainder when 83 is divided by (170/25)/((-6)/(-15))?
15
Let m = 46 + -24. Suppose 50 = 2*h + 4. Suppose -m = -5*j + d, 4*j + d + 0*d = h. What is the remainder when 13 is divided by j?
3
Let o(y) = -3*y - 4. Let b = 8 - 11. Suppose -5*a - 4*l + 44 = 0, a + 2*l - 1 = 9. What is the remainder when a is divided by o(b)?
3
Suppose 5*z - 727 + 99 = 3*y, 2*y = -3*z + 373. Calculate the remainder when z is divided by 21.
20
Let z = 18 + 19. Suppose 4*d - 50 = 2*i, 4*d - 3*i - 12 - z = 0. Calculate the remainder when 50 is divided by d.
11
Suppose -7*d = -3*d - 20. Suppose o - 5 - 1 = 0. Calculate the remainder when 15 is divided by o/d*(-40)/(-6).
7
Let o(s) be the third derivative of 5*s**4/24 + s**3/3 + s**2. Let b = 4 - -2. Calculate the remainder when o(3) is divided by b.
5
Let m(v) = 3*v + 2. What is the remainder when 60 is divided by m(10)?
28
Suppose 53*j + 78 = 55*j. Let a(o) = o**3 + o. What is the remainder when j is divided by a(2)?
9
Suppose -4*v + 4*s + 16 = 0, 5*v - 2*s + s - 36 = 0. Suppose 2*m + 2*n + 3*n = 10, 3*m - 15 = 4*n. Calculate the remainder when v is divided by m.
3
Let t(z) = z**3 - 2*z**2 + 3*z - 1. Let g = -4 - -6. Suppose g*r - 3*r = -2. What is the remainder when 14 is divided by t(r)?
4
Suppose 3*x + 3*z - 21 = 0, -4*x + 5*z + 37 + 9 = 0. Calculate the remainder when 44 is divided by x.
8
Suppose -5 = -6*y + y. Let i(t) = t**2 - 5*t + 4. Let q be i(5). Suppose -4*x + 1 = a, 5*x - 1 = 3*a - q. What is the remainder when y is divided by a?
0
Calculate the remainder when 1386/24 - (-1)/4 is divided by 31.
27
Let p = -10 + 59. Let f = 25 + -42. What is the remainder when p is divided by (f/3)/((-1)/3)?
15
Suppose 4*q + 2*r = 14, -18 = -3*q + 2*r - r. What is the remainder when 42 is divided by q?
2
Suppose -5*j = -10*j + 150. What is the remainder when j is divided by 18?
12
Let g(u) = -u**2 + u + 6. Let c(v) = v**3 - 6*v**2 - 8*v + 6. Let n be c(7). What is the remainder when (n/(-2))/(-1)*-20 is divided by g(0)?
4
Let w(k) be the first derivative of -4*k**4 - k**3/3 - k**2/2 + 7. Calculate the remainder when (1*-2 - 0) + 33 is divided by w(-1).
15
Let n = 25 + -35. Let a(z) = -4*z - 14. Let r be a(n). Suppose -u = -2*u + r. What is the remainder when u is divided by 7?
5
Let a = 14 + 45. Suppose -a = -3*n + 7*z - 2*z, 5*n = -z + 145. Suppose n = -q + 5*q. Calculate the remainder when q is divided by 3.
1
Let j(p) = p**3 + 17*p**2 + 11*p - 37. What is the remainder when j(-16) is divided by 25?
18
What is the remainder when 9 + (-5)/(-5)*(-1 + 2) is divided by 6/(-5)*40/(-12)?
2
Suppose 2*o = -o - 6. Let j = -21 - o. Let k = -13 - j. What is the remainder when 10 is divided by k?
4
Let c be 9/(5/(40/(-12))). Let t = c + 14. Calculate the remainder when (-94)/(-4) + 1/(-2) is divided by t.
7
Let x = 3 + -7. Let y be (-2 + x)/(-3) + -3. What is the remainder when 2 is divided by (y*2)/(-2) + 0?
0
Let v = -46 - -54. Suppose -2*n + n + 14 = 0. What is the remainder when n is divided by v?
6
Calculate the remainder when 34 is divided by 1/(-5) - 488/(-40).
10
Suppose -2*t - 96 = -3*t. What is the remainder when (21/(-12))/((-6)/t) is divided by 10?
8
Let m = -15 - -26. Suppose l - x = m, -4*l + 3*x = 5*x - 26. What is the remainder when 31 is divided by l?
7
Suppose -3*i + 12 = -5*h + 2, 0 = -5*i - 4*h + 66. What is the remainder when 8/40 + 298/i is divided by 16?
14
Suppose -5*t - 1 + 16 = 0. Calculate the remainder when 5 is divided by t.
2
Suppose -13 + 9 = -4*f. Let q(r) = 34*r. Calculate the remainder when q(f) is divided by 12.
10
Let z(q) = -13*q + 1. Let m be z(-3). Suppose -4*k + 49 = 2*j - 21, 2*j - m = -2*k. Let c = -30 - -73. What is the remainder when c is divided by k?
13
Suppose 4*r + 12 = 2*x + 4, 2*x - 2*r - 8 = 0. Suppose -4*n - 2 = -4*i + 10, -n + 3*i - 11 = 0. Calculate the remainder when x is divided by n.
0
Let s(c) = -3*c + 2. Let a be s(2). Let r(g) = g**3 + 7*g**2 + 6*g. What is the remainder when 71 is divided by r(a)?
23
Let c(f) = -f**3 + 6*f**2 + 9*f - 3. Let a be c(7). Suppose 3*b - 53 + a = 0. Suppose d = -1, 13 = 4*p + 5*d - b. What is the remainder when 15 is divided by p?
7
What is the remainder when (-2824)/(-24) + 12/9 is divided by 24?
23
Suppose 52 = -0*t + t. Suppose 0 = -3*o - 18. Let w = o - -24. What is the remainder when t is divided by w?
16
Let y(m) = m - 8. Let t be y(5). Let s = 10 - t. Calculate the remainder when 38 is divided by s.
12
Let p = -7 - -4. Let k(c) = -1. Let s(z) = -z - 1. Let j(i) = -6*k(i) - s(i). Calculate the remainder when 13 is divided by j(p).
1
Let x = -23 - -48. Suppose -29 = 3*d + x. Calculate the remainder when d/(-5)*(-15)/(-6) is divided by 5.
4
Suppose -3*d + 719 = 3*c + 71, 5*d - 864 = -4*c. Suppose 5*k + q - c = 0, 0 = -5*k + 2*q - q + 214. Calculate the remainder when k is divided by 15.
13
Let i = 10 - -1. Suppose 0 = 4*s + i - 3. What is the remainder when 2 - (-26 + (0 - s)) is divided by 9?
8
Suppose -5*z + 2*z + 3*d = 645, 641 = -3*z + 4*d. Calculate the remainder when (-4)/(-6) + z/(-9) is divided by 52/(-6)*(-6)/4.
12
Let h(t) = -t**2 - 5*t - 2. Let o be h(-4). What is the remainder when (8/(-12))/(o/(-15)) is divided by 2?
1
Suppose -5*q + 2 = -3*p + p, 2*p - q + 2 = 0. Let c = 4 + p. Let u = 1 + c. Calculate the remainder when u is divided by 3.
1
Suppose 3*v + u = -v + 31, v - 13 = -2*u. Calculate the remainder when 6/(-10)*(-245)/v is divided by 8.
5
Let h(z) be the first derivative of 7*z**2/2 - 3*z + 2. What is the remainder when h(4) is divided by 13?
12
Suppose 0 = 3*o - 10 - 41. Let c(q) = -5*q**3 + q**2 + 2*q + 2. Let r be c(-2). Suppose -4*a - 2 = -r. What is the r