
12
Let x(d) = d**3 + 46 + d**2 - 7 - 2*d**3. Let i(q) = -q**3 + 13*q**2 + 12*q + 35. What is the remainder when x(0) is divided by i(14)?
4
Suppose 21*k = 228 - 39. What is the remainder when 106 is divided by k?
7
Let q(b) = b**3 - b**2 - b + 44. Let c be q(0). What is the remainder when (-3)/(-4*(-6)/(-104)) is divided by 2/(-6) - c/(-6)?
6
Let t = -25 - -27. Suppose -v + 28 = -t*g, -2*v + 56 = -4*g + 3*v. Calculate the remainder when 39 is divided by (-72)/(-7) - (-4)/g.
9
Let a be (-4)/16 - 98/(-8). Suppose 0*t = 3*t - 9, 5*m - a = t. Suppose 2*l = 27 - m. Calculate the remainder when 46 is divided by l.
10
Suppose -v - 2*v + 9 = 0. Suppose 2*a = -q + 7, 3*q - 2*a + 11 = -0*q. What is the remainder when v is divided by (-1 + q)*1/(-2)?
0
Let f(k) = 9*k**2 + 8*k + 1. Suppose i - 6 = -10. Calculate the remainder when f(i) is divided by 38.
37
Suppose -11 = -2*x - 5*y + 85, 0 = 5*x + 3*y - 278. Calculate the remainder when x is divided by 5.
3
Let f(q) = 20*q**2 + 3*q - 5. Let t be f(2). Let h = t + -58. Calculate the remainder when h is divided by 4.
3
Suppose 3*r - 5*o + 23 = 7*r, 0 = 5*r + 5*o - 25. Suppose 2*c - 224 = -6*c. Suppose -r*m + c = -30. What is the remainder when m is divided by 8?
5
Let i = 530 - 460. What is the remainder when 207 is divided by i?
67
Let g = -11 - -19. Calculate the remainder when g is divided by (-8)/16 - (-3)/12*10.
0
Let z = -21 + 0. Let k = -5 - z. What is the remainder when 44 is divided by k?
12
Let h be 205/20*(1 - 9). Let p = -55 - h. What is the remainder when p is divided by 6?
3
Let w(g) = 4*g + 2. Calculate the remainder when 26 is divided by w(2).
6
Let b = 161 + -106. What is the remainder when 162 is divided by b?
52
Let a(p) be the second derivative of p**3/6 + 9*p**2/2 + 5*p. Let i be a(-6). Suppose -13 = -i*m + 23. What is the remainder when 47 is divided by m?
11
Let z(j) = -j**3 + 6*j**2 - j - 17. What is the remainder when 151 is divided by z(4)?
8
Suppose 0 = 2477*f - 2473*f - 44. What is the remainder when 35 is divided by f?
2
Suppose -2*l = -4*t + 264, -3*t + 144*l = 142*l - 197. Let y = 7 + -2. Suppose y = p - 12. What is the remainder when t is divided by p?
16
What is the remainder when 653 is divided by 2915/371 + (-8)/(-7) + -2?
2
What is the remainder when ((-5)/(-2))/(75/210) is divided by 3?
1
Let i = 1987 - 1457. What is the remainder when i is divided by 30?
20
Let c(l) = 124*l + 753. Suppose -339 + 79 = -5*s. What is the remainder when c(-4) is divided by s?
49
Let u(w) = -w**3 + 2*w**2 + 4*w - 1. Let i be u(3). What is the remainder when i + (-1)/1 + 90 is divided by 19?
15
Let b(f) = 8*f**2 + f. What is the remainder when (-4 - -51) + (1 - 4) is divided by b(1)?
8
Suppose -19*d + 26*d - 1428 = 0. Calculate the remainder when d is divided by 52.
48
Let j be (12 + -11)/(1/(-6)). What is the remainder when 4/j + 2/((-6)/(-179)) is divided by 17?
8
Suppose 5*g = 3*f - 47, -4*f + 0*f + g + 40 = 0. Calculate the remainder when 129 is divided by f.
3
Let j(p) = -2*p - 6. Let z be j(-6). Let d be (-40)/z*(-15)/2. Let x = d - 33. What is the remainder when x is divided by 9?
8
Let w = 737 + -628. What is the remainder when 541 is divided by w?
105
Suppose -z = 5*l - 35, 0*z - 50 = -5*l - 4*z. Suppose 3*t - 26 = -2*t - 4*o, 0 = t - 2*o + l. Calculate the remainder when 62 is divided by 2/t - (-40)/2.
20
Suppose 0 = -3*j - 224*n + 223*n + 81, 5*j - 5*n = 155. Let i(m) = m**2 + m + 83. What is the remainder when i(0) is divided by j?
27
Suppose 5*x + 2*v = 139, 22*v - 18*v = -5*x + 133. Calculate the remainder when 199 is divided by x.
25
Let t(v) = v**2 + 16*v - 18. Let p be t(-18). Let w = 30 - p. Calculate the remainder when 46 is divided by w.
10
Suppose 0 = 36*r - 78 - 102. What is the remainder when 14 is divided by r?
4
Let x(v) be the second derivative of v**5/20 - 5*v**4/12 + v**3 - 6*v**2 - 4*v. Calculate the remainder when x(5) is divided by 7.
4
Let n = 1118 - 251. Calculate the remainder when n is divided by 29.
26
Suppose -5*y + c - 180 = -4*c, -3*c = 2*y + 57. Let t = 16 + y. Let d = t + 23. Calculate the remainder when 15 is divided by d.
3
Suppose 0 = -4*n + 5*p + 5, 0 = -5*n - p - 0 - 1. Calculate the remainder when 826/42 - 10/6 is divided by 1/(2/20) + n.
8
Let c = 33 - 23. Let f(l) be the third derivative of -l**6/120 - l**5/60 + l**4/24 + 17*l**3/6 - 3*l**2. What is the remainder when f(0) is divided by c?
7
Suppose 3*w - 9*w = -222. What is the remainder when 80 is divided by w?
6
Let q = 5 + 35. Calculate the remainder when 1900/16 + 8/32 is divided by q.
39
Let y be (-208)/(-7) + 14/49. Let x = 41 - y. What is the remainder when x is divided by 4?
3
Let c(r) = r**3 + 6*r**2 + 6*r - 1. Let v be c(-5). Let a(w) = -w + 3. Suppose 3*k = -2*k + 165. What is the remainder when k is divided by a(v)?
6
Suppose 0 = -5*p + 20, 0 = -6*h + h + 4*p + 4. Suppose 0 = 6*a - h*a - 78. Calculate the remainder when a is divided by 15/1 + (0 - 1).
11
Suppose 3*a + 4*w = 44, -2 - 5 = a - 3*w. Calculate the remainder when 15 is divided by a.
7
Suppose -11*v + 16*v + 150 = 0. Let f = 48 + v. What is the remainder when 66 is divided by f?
12
Suppose -4290 = 7*r - 33*r. What is the remainder when r is divided by 7?
4
Suppose 368*r = 57874 + 2846. What is the remainder when r is divided by (-396)/(-14) - (-2)/(-7)?
25
Let z be (33/55)/((-1)/(-5)). Suppose 25 + z = 7*n. Suppose -3*c + 28 = m, 3*m + 15 = -0*m. Calculate the remainder when c is divided by n.
3
Let s = 2701 + -2691. Suppose 4*r + 5*b - 205 = 0, -6*r + 190 = -2*r + 2*b. Calculate the remainder when r is divided by s.
5
Let p = 566 + -546. What is the remainder when p is divided by 7?
6
Calculate the remainder when 51 is divided by 52*(-4)/(-6)*(-9)/(-12).
25
Let q = -34 - -21. Let l(n) = 2*n**2 + 18*n - 8. Let t be l(q). Suppose 3*v = -6, 0 = -4*c - 3*v + v + t. Calculate the remainder when c is divided by 10.
5
Let j(n) = n**2 - 6*n. Let h(a) be the third derivative of -a**5/60 + a**4/6 + a**3 + 3*a**2. Let t be h(6). Calculate the remainder when j(t) is divided by 25.
22
Suppose -3*u = j - 2, -4*u = 4*j - 9 - 7. Suppose -4 = 2*a - 4*l - 14, j*a = -4*l + 39. Let z = a - -13. Calculate the remainder when z is divided by 7.
6
Suppose 4*b - 22 = 46. Let t be -28*4*(-4)/(-32). What is the remainder when b is divided by (-4)/(-8)*t*10/(-7)?
7
Let a(v) = -3*v**3 + 6*v**2 + 3*v - 5. Calculate the remainder when a(-4) is divided by 39.
37
Let m = 77 + -22. Suppose 5 = -2*g + 13. Calculate the remainder when m is divided by 6*(-14)/8*g/(-3).
13
Suppose -2*o - 245 = 2*v - 295, 5 = 5*v. Let y = -379 - -591. What is the remainder when y is divided by o?
20
Let o(d) = -20*d**3 - 10*d - 2. What is the remainder when o(-2) is divided by 45?
43
Suppose 326 = 3*n - 2*w + 29, -5*n = 2*w - 511. What is the remainder when 1009 is divided by n?
100
Let a(n) be the first derivative of 6*n**3 + n**2/2 + 2*n + 5. Suppose 5*o - 5*b = 3 + 2, 16 = 4*o - b. What is the remainder when a(-1) is divided by o?
4
Let t = -631 - -1056. What is the remainder when t is divided by 108?
101
Let d = 831 - 749. Calculate the remainder when 153 is divided by d.
71
Suppose a = -5*x + 417, -96 = -x + 2*a + 2*a. Suppose -x = -6*y - 12. Calculate the remainder when 35 is divided by y.
11
Suppose 3*g - 6 = 2*k - k, 3*g = -2*k + 15. Suppose 41 = 2*n - 3*u, n + k*u - 8 = 8. Let t = 28 - n. What is the remainder when 33 is divided by t?
6
Suppose -2*s + 119 + 59 = 0. What is the remainder when s is divided by 9?
8
Let i(n) = -n**2 + 4*n - 1. Let s be i(2). What is the remainder when 13 is divided by (s - -2 - 4) + 7?
5
Suppose 5*x = -2*c - 26, -5*c + 3*x - 131 = -x. Let d = c - -45. What is the remainder when 107 is divided by d?
19
Let x(w) = -w. Let u be x(-8). Let i = 136 + -104. What is the remainder when i is divided by ((-11)/(-4))/(2/u)?
10
Suppose 1949 = -9*y + 5873. Calculate the remainder when y is divided by 37.
29
Let j(n) = n**3 - n**2 - n + 6. Let h(d) = d**3 - 12*d**2 - 11*d + 7. Calculate the remainder when h(13) is divided by j(0).
3
Calculate the remainder when 875 is divided by 812/40 + (-60)/200.
15
Calculate the remainder when 527 is divided by (-20 - -10)/(-20) + 90/4.
21
Let q(g) = 2*g + 2 + g + g**2 - 2*g**2. Let h be q(3). Suppose 3*j + 4*