t i = 53 + d. What is the remainder when i is divided by 14?
13
Let w(m) = m - 11. Let i be w(7). Let b(g) = -8. Let h(o) = o - 7. Let c(p) = 2*b(p) - 3*h(p). Calculate the remainder when c(i) is divided by 9.
8
Let x(f) = 7*f**2 - 2*f + 1. Let r be x(1). Let z(p) = p**2 - 5*p + 7. What is the remainder when 38 is divided by z(r)?
12
Suppose z - 31 + 6 = 0. What is the remainder when z is divided by 14?
11
Let h(p) = p**3 + 28. Let r be h(0). Let a = 59 - r. Calculate the remainder when a is divided by 11.
9
Suppose -378 = 10*c - 2078. Calculate the remainder when c is divided by 43.
41
Let u be (-163)/(-4) - 6/(-24). Suppose -a + u = -27. Calculate the remainder when a is divided by 23.
22
Let f(u) = -4*u + 3. Suppose -g + 4*c = -2 - 8, -3*g + 30 = -4*c. Calculate the remainder when f(-4) is divided by (-6)/15 + 114/g.
8
Suppose 6*b - 296 = 2*b. Calculate the remainder when 52 is divided by 6/(-12) - b/(-4).
16
Calculate the remainder when -7 + -3 - -5 - -47 is divided by 23.
19
Suppose 0 = -9*n - 17 + 242. What is the remainder when ((-73)/(-3))/((-2)/(-6)) is divided by n?
23
Let y = -98 - -154. What is the remainder when y is divided by 16?
8
Suppose 678 = 5*t + 68. Suppose -t = 4*c + 130. Let o = 88 + c. Calculate the remainder when o is divided by 13.
12
Calculate the remainder when (-6 + 5)/(-3 + 176/60) is divided by ((-10)/4 + 1)*-4.
3
Suppose 0 = b - 0*b - 15. Suppose 0 = f + 4*f - 215. Calculate the remainder when f is divided by b.
13
Let h(c) = c**2 - 17. What is the remainder when 30 is divided by h(5)?
6
Suppose 0*r = 4*r + 20. Let s = 10 + r. Let k = s + -2. What is the remainder when 5 is divided by k?
2
Suppose x + c - 9 = 3, -5*c = -4*x + 57. What is the remainder when 49 is divided by x?
10
Let u = -8 - -13. Suppose -3*t = -s + 9, t - 3*t + u = 3*s. Calculate the remainder when 19 is divided by (14/3)/(t/(-3)).
5
Let s(r) be the third derivative of -r**5/60 + r**4/6 + r**3/2 + 2*r**2. Let c be s(3). What is the remainder when (2 - 0)/(c/21) is divided by 3?
1
Suppose 2*t = -4 + 42. Calculate the remainder when 36 is divided by t.
17
Let k(d) = 2*d - 9. Let s be k(9). Calculate the remainder when 2/s + (-1925)/(-45) is divided by 15.
13
Suppose 96 + 32 = 4*g. Suppose 0 = 2*z - 6*z + g. Calculate the remainder when 29 is divided by z.
5
Let r = 3 + 159. Suppose r = 3*y + 6. What is the remainder when y is divided by 18?
16
Suppose -56 = 5*p - 26. Let t = 28 - 11. Let a = t + p. Calculate the remainder when 20 is divided by a.
9
Let s = 8 - -9. Let h = s + -8. What is the remainder when 17 is divided by h?
8
Suppose 0 = 3*n - 3*a + 21, 0 = -a + 5*a - 4. Let t = 13 + n. Let d = 10 - t. What is the remainder when 5 is divided by d?
2
Let y(m) = -m**2 + 6*m - 5. Let q be y(4). Suppose 0 = -a + q*a - 2. Let n = 1 - -2. What is the remainder when n is divided by a?
0
Let t = -3 + 38. Calculate the remainder when t is divided by 9.
8
Let a(x) = x - 7. Let p = -26 + 36. Let w be a(p). Suppose -q + w*o + 32 = 0, -q + 2*o + 34 = -3*o. Calculate the remainder when q is divided by 10.
9
Let x = 7 + 16. Let j = 38 - x. Calculate the remainder when j is divided by 8.
7
Suppose h = 5 - 4, 2*h - 62 = -5*n. Let j(t) = -4*t + t + 5*t**2 - 3*t**2. What is the remainder when j(5) is divided by n?
11
Suppose 0 = 2*q + 6*q - 88. What is the remainder when 184 is divided by q?
8
Suppose 3*n = 22 + 20. Let a be ((-3)/(-2))/((-3)/4). Calculate the remainder when (a + 16/3)*12 is divided by n.
12
Let h(s) = -6*s - 2. Let n(z) = z - 8. Let f be n(6). What is the remainder when 29 is divided by h(f)?
9
Suppose -2*m + 5*g - 24 = -4*m, 3*m + 5*g - 41 = 0. What is the remainder when 78 is divided by m?
10
Let p(l) = -12*l + 6*l + 5*l + 11. Let a = 4 + 3. What is the remainder when 11 is divided by p(a)?
3
What is the remainder when (177/12)/((-1)/(-4)) is divided by 15?
14
Suppose -4*m - 5*z + 89 = 0, 5*z - 15 = -2*m + 42. What is the remainder when 31 is divided by m?
15
Let i(k) = k**3 + 5*k**2 + 2*k - 2. What is the remainder when i(-4) is divided by 5?
1
Calculate the remainder when (-223)/(-13) + (-12)/78 is divided by 11.
6
Suppose 0 = 4*j - 2 - 66. Let a be -1 + 2 + 6 + -4. Suppose -5*f - 7 = 3, 4*s - a*f - 202 = 0. Calculate the remainder when s is divided by j.
15
Suppose m - 32 = -4. Let w = -57 + 31. Let g = -16 - w. Calculate the remainder when m is divided by g.
8
Suppose 4*b - 25 = 5*z - 10, 4*z - 2*b + 12 = 0. Let u(a) = 3*a**2 + 2*a + 1. Calculate the remainder when 85 is divided by u(z).
19
Suppose -j + 5 - 3 = 0. Suppose -j*o - o + 63 = 0. What is the remainder when o is divided by ((-15)/(-5))/((-3)/(-8))?
5
Let x(b) = 3*b - 25. Calculate the remainder when 80 is divided by x(14).
12
Let n be 2*((-423)/(-6))/3. Suppose -3*f - n = -7*d + 2*d, 3*d - 3*f = 27. What is the remainder when d is divided by (-4)/(-1 + 1 - 1)?
2
Suppose i - 1 = 7. What is the remainder when 30 is divided by i?
6
Let u(k) = 2*k**2 - 5 - 2*k**2 + k**2. Let c be u(0). What is the remainder when 13 is divided by -1 + (0 - -1) - c?
3
Let p(k) be the third derivative of k**4/24 - 2*k**3/3 - 3*k**2. Suppose -7 = -2*x + 5. Calculate the remainder when 2 is divided by p(x).
0
What is the remainder when (-3)/(-2)*(380/(-3))/(-5) is divided by 8?
6
Let v = 11 + -8. Let r(t) = 4*t + 2*t + 6*t**2 - 3*t - t + 1. Calculate the remainder when r(-1) is divided by v.
2
Suppose -5*x - j = -4*j - 36, 0 = 5*x + 4*j - 57. Let a = -8 - -25. Calculate the remainder when a is divided by x.
8
Let b(n) = -n**3 + 10*n**2 + 12*n - 10. Let s be b(11). Let h = s + -1. Suppose 4 = 2*l + 6, h = -5*x - l + 44. What is the remainder when 16 is divided by x?
7
Suppose q = -s + 5, -5*q = -7*s + 3*s - 7. Let o be -13 - -2 - (s - 4). Let f = 2 - o. Calculate the remainder when 32 is divided by f.
10
Suppose 7 = -v + 3*m, v + 6*m = 7*m + 3. What is the remainder when 17 is divided by v?
1
Let a(w) = -2*w - 6. Let o(f) = f + 5. Let r(g) = 3*a(g) + 4*o(g). Calculate the remainder when 30 is divided by r(-7).
14
Let n = 79 + -55. Suppose -21 = -5*r + n. What is the remainder when 35 is divided by r?
8
Let f(x) = 62*x**3 + x**2 - x + 1. What is the remainder when f(1) is divided by 11?
8
Suppose 6*c = 5*c + 103. Calculate the remainder when c is divided by 13.
12
What is the remainder when 21 is divided by (1/1)/(3 + 32/(-11))?
10
Suppose -17 = -4*f - 1. Suppose 0 = 5*q - 3*x - 60 + 16, -4*x = 2*q - 28. Suppose -q = -s + f. Calculate the remainder when s is divided by 8.
6
Let p = 10 - 8. What is the remainder when (-1)/((-1)/22*p) is divided by 6?
5
Let n = 0 - -3. Suppose -n*j + 32 = j. Suppose -2*s - 5 = 3*m, -5*m + 6 = 31. What is the remainder when j is divided by s?
3
Suppose 34 = 4*w - 2*k, -2*w = 3*k - 2 + 5. Calculate the remainder when 22 is divided by w.
4
Let j = -6 + 10. Suppose -u + j*u = 48. Suppose -3*m = -4*b - 19 + 62, b + m - u = 0. Calculate the remainder when 38 is divided by b.
12
Suppose 0*l - 12 = -4*l. Suppose 0 = 4*j - 2*y - 0*y - 42, 9 = 3*j + l*y. Calculate the remainder when 20 is divided by j.
4
Suppose -4*w - 3*d - 15 = 0, 0*w - d - 3 = w. Suppose -2*x + 16 = 2*x. Calculate the remainder when (w - -3) + (-1 - -13) is divided by x.
1
Suppose 36 - 6 = -5*r. What is the remainder when r/(-10) + (-848)/(-20) is divided by 12?
7
Calculate the remainder when 23 is divided by 115/46*(1 - (-7)/5).
5
Calculate the remainder when ((-1)/(-3))/(13/3861) is divided by 34.
31
Suppose 0 = -t + 6 - 1. Suppose 77 = t*r - 258. Calculate the remainder when r is divided by 23.
21
Suppose -u = 2*g - 21, g + 46 = 3*u + 4. What is the remainder when 43 is divided by u?
13
Suppose -2*n - 32 = -114. Calculate the remainder when 79 is divided by n.
38
Suppose 7*g - 4*g - 72 = 0. What is the remainder when 67 is divided by g?
19
Suppose 3*j + 30 = 8*j. What is the remainder when 13 is divided by j?
1
Let n = 2 - 4. Let o be 3 + (-3 - -159) + n. Suppose 5*x - 38 - o = -5*p, 4*p - 120 = 5*x. What is the remainder when p is divided by 12?
11
Let h be (7 + -7)*(-2)/(-4). Suppose 2*i + 4*g = h, -i - 5*g = -10*g - 28. Calculate the remainder when 29 is divided by i.
5
Let p be 80/14 + 8/28. What is the remainder when (-1)/((-91)/(-46) - 2) is divided by (p + -3)/((-3)/(-16))?
14
Suppose 5*p - 5*q - 20 =