Calculate the remainder when a is divided by 45.
0
Suppose 2580 = 48*i - 33*i. Let a be (0 + -204)/2 + -1. Let n = a + i. Calculate the remainder when n is divided by 18.
15
Suppose 0 = -3*g - 4*p + 18, 2*g - 5*p = -8*p + 13. Suppose 2*c - 17 = -3*s, 12 = 4*s + 2*c - 8. What is the remainder when s is divided by g?
1
Suppose 4*a - 12 = -0*a. Suppose -a*b + 21 = -12. Let p(z) = 6*z + 7. What is the remainder when p(6) is divided by b?
10
Let t = -608 + 668. What is the remainder when t is divided by 22?
16
Suppose -4*a = -4*d - 0*a + 3072, 3086 = 4*d + 3*a. What is the remainder when d is divided by 18?
14
Let o(k) = 32*k - 598. Let a(h) = -h + 6*h - 3 + 2*h**2 - h. What is the remainder when a(3) is divided by o(19)?
7
Let y(v) = v**2 + v - 1. Let u = 0 - -2. What is the remainder when (280/4 - u) + 4 is divided by y(4)?
15
Let l(h) = -h**3 + 7*h**2 + 8*h + 1. Let t be l(8). Calculate the remainder when 100 is divided by (-3)/(((-12)/104)/t).
22
Let l = -26 - -25. Let v = l - -5. What is the remainder when v is divided by 2?
0
Let o = -1 - 4. Let q(l) = l**2 + 4*l - 3. Let a be q(o). Suppose a*t - 3*t = -5. What is the remainder when t is divided by 3?
2
Let z be (92 - (1 + 2)) + -3. Let i = -78 + z. Calculate the remainder when 38 is divided by i.
6
Let a(g) be the second derivative of 2*g + 5*g**2 - 1/6*g**3 + 0. Calculate the remainder when 34 is divided by a(-8).
16
Let j = -60 + 82. Let v = j - 12. What is the remainder when 38 is divided by v?
8
Let n = 21 + -6. Suppose 3*w + 65 = -28. Let a = 90 + w. What is the remainder when a is divided by n?
14
Suppose -16 = 6*v - 2*v, 5 = -b - 2*v. Suppose -4*k - 2 = -b*p - 48, -1 = -k. Calculate the remainder when (-1)/(-2)*(0 - p) is divided by 5.
2
Let y(x) = -x**2 + x + 75. Let b(o) = o**3 + 5*o**2 + 6*o + 8. Let d be b(-4). Let g = -13 - -39. What is the remainder when y(d) is divided by g?
23
Let r(a) = 83*a**2 + 5*a - 4. Let f(q) = q**3 - 2*q - 3. Calculate the remainder when r(1) is divided by f(3).
12
Let s(z) = -z + 7. Suppose 2*o = -2*d + 6, 7 = -d - 3*o + 2. What is the remainder when d is divided by s(5)?
1
Suppose -5*x + 87 = 22. Let n(z) = 19*z - 1. Let g be n(2). Suppose -2*l + g = -l. What is the remainder when l is divided by x?
11
Let p(k) = k**3 - 25*k**2 + 48*k - 40. Calculate the remainder when 32 is divided by p(23).
2
Suppose 2*w + 218 = 3*w. Calculate the remainder when w is divided by -2 - (-48 + ((-3)/(-3) - -1)).
42
Let z = 32 - 20. Let y(d) = d**3 + 4*d**2 + 1. Let p be y(-4). Let c(j) = 21*j**2 + 1. Calculate the remainder when c(p) is divided by z.
10
Let x = 580 + -545. Calculate the remainder when 180 is divided by x.
5
Let y(c) = 59*c**2 + 3*c - 17. What is the remainder when y(3) is divided by 31?
27
Let u be (-4)/10 + 22/55. Suppose u = 2*v + 1 - 11. What is the remainder when 38 is divided by v?
3
Let z = -46 - -63. Suppose -z - 15 = -n. What is the remainder when n is divided by 19?
13
Suppose w - 17 = -3*p - 0*w, -4*w + 8 = -3*p. Suppose 5*k - 119 - 149 = 3*u, -5*k + 264 = -p*u. What is the remainder when k is divided by 12?
8
Let v(d) = -2*d**2 + 23*d + 40. Let a(n) = 3*n**2 + 1. What is the remainder when v(11) is divided by a(-2)?
12
Suppose -4*m - 2*n - 1 = n, 0 = -2*m + 5*n - 7. What is the remainder when (m - -1) + (5 + 5 - -3) is divided by 4?
1
Let z = -2 + -1. Let d(n) = -26*n + 1. Let j be d(z). Suppose o - j = -3*c - 10, -4*o = c - 320. What is the remainder when o is divided by 28?
25
Suppose 16 - 36 = -q + 3*r, -5*r = -5*q + 120. Calculate the remainder when 145 is divided by q.
15
Let k = -35 + 156. What is the remainder when k is divided by (-125)/(-3) + ((-95)/(-15) - 7)?
39
Let w = -193 + 201. Calculate the remainder when w is divided by (-2)/9 - 188/(-36).
3
Suppose 5*v - 2*v = 0. Suppose -7*d + 549 - 45 = v. Calculate the remainder when d is divided by 19.
15
Suppose 4*g = 5*h - 46, 4*h - g - 36 = -8. Let v be (h/(-8))/(12/(-80)). Suppose -39 + 9 = -v*k. Calculate the remainder when 16 is divided by k.
4
Suppose u - 4 = 5*r, r = u - 17 + 5. Suppose 4*s = -5*z + 9*s + 205, -2*z = 2*s - 74. Calculate the remainder when z is divided by u.
11
Suppose 283 = -11*q + 3088. What is the remainder when q is divided by 77?
24
Suppose 2*j = -3*j + 175. Suppose 0 = -t + 4*n + 16, -t = -5*n - 7 - 12. Suppose -w + 45 = t*w. Calculate the remainder when j is divided by w.
8
Let n = -39 + 33. Calculate the remainder when 47 - n*((-15)/(-9) - 2) is divided by 16.
13
Suppose -2*g + 0 + 2 = b, 0 = -5*b - 3*g + 10. Let u(o) = -11*o + 2*o**2 - 2*o**2 + b*o**2 + 1. Calculate the remainder when u(8) is divided by 21.
20
Let o be 11 - -25 - (-1 + 0). Suppose o*n - 112 = 33*n. What is the remainder when n is divided by 15?
13
Let j(d) = 3*d**3 + 24*d**2 - 34*d - 22. Calculate the remainder when j(-8) is divided by 120.
10
Let b(h) = 3*h + 2. Let a = 117 + -64. Calculate the remainder when a is divided by b(4).
11
Calculate the remainder when 262 is divided by (-6)/(-5)*(69 + -59).
10
Suppose 0 = 2*p + p + 39. Let f = p + 12. Calculate the remainder when -1*(-1)/(f/(-14)) is divided by 8.
6
Let y = 1080 - 1044. What is the remainder when 154 is divided by y?
10
Suppose 0 = -0*b + 2*b - 70. Let q(c) = c**2 - 34*c + 292. What is the remainder when q(7) is divided by b?
33
Let b = -647 - -680. Calculate the remainder when 173 is divided by b.
8
Suppose -5*z - 2*a - 29 = -0, -4*a = -5*z - 17. What is the remainder when 45 is divided by ((-315)/z)/3 - 1*-2?
22
Let v(b) = -b**3 - b**2 - b - 3. Suppose h = -u + 78, 5*h = 3*u - 260 + 34. Suppose 0 = -5*d - 12 + u. What is the remainder when v(-4) is divided by d?
10
Let p(x) = x**2 + 3*x. What is the remainder when 689 is divided by p(-5)?
9
Let b(p) = -47*p**3 - p**2 - p. Let g be (1 + -3 + 0)/2. Let z = 16 + 0. What is the remainder when b(g) is divided by z?
15
Suppose -s = 3*d - 455, -9*d + 6*d - 2*s = -454. What is the remainder when d is divided by 28?
12
Let n be ((-4)/(-8))/((-2)/(-52)). Suppose -4*r + 12 = -4*u, -u - 1 = 4*r - n. Calculate the remainder when r is divided by 1.
0
Suppose 5*n = 73 + 2. Calculate the remainder when n/(-10)*(-300)/18 is divided by 13.
12
Suppose 25 + 32 = 3*v. Let l be 306/(-8) - 5/60*9. Let x = l - -76. What is the remainder when x is divided by v?
18
Let g(i) = i**3 + 8*i**2 + 7*i + 4. Let q = 17 + -23. What is the remainder when 135 is divided by g(q)?
33
Suppose 2*b = -m + 2*m + 25, -3*b - 3 = 0. Let w = -12 - m. Suppose -4*h - n + 291 = 0, -4*h + 5*n = 103 - 400. Calculate the remainder when h is divided by w.
13
Suppose -4*y - o - 3*o + 760 = 0, 3*o + 360 = 2*y. Let p = 261 - y. What is the remainder when p is divided by 19?
18
Suppose 9*n - 25 = 4*n. Let s = 11 - n. Let j = -74 - -85. What is the remainder when j is divided by s?
5
Let n = -34 - -38. Suppose 2*t + u = 7*t - 11, -n*t = 4*u - 28. Let o = -13 + 19. What is the remainder when o is divided by t?
0
Let o(u) = 8*u - 35. Let i be o(14). Suppose 4*y - i = 3*z, 12 = 3*y - 5*z - 43. Calculate the remainder when 58 is divided by y.
18
Let n = 1043 + -1022. What is the remainder when 81 is divided by n?
18
Suppose 4*n + 30 = -2*l, 5*n - 6*n - 2*l - 6 = 0. Let q(f) = -4*f - 46. Let c be q(-15). Let d = c + n. Calculate the remainder when 14 is divided by d.
2
Let k be ((-1)/3)/(4/(-12)). Suppose 11*u - 12 = 9*u. What is the remainder when (-3 + 20 + 0)/k is divided by u?
5
Let s(q) = -8*q**2 + q**2 + 190 - 9*q - q**3 - 201. Let w = -28 + 53. What is the remainder when w is divided by s(-6)?
4
Suppose -5*n + 71 - 8 = -4*w, -4 = 2*w. Calculate the remainder when 40 is divided by n.
7
Let m(j) = j**3 + 36*j**2 - 4*j - 46. Calculate the remainder when 489 is divided by m(-36).
97
Suppose -p - 4*v - 8 = 0, -v + 0*v = -3*p + 2. Suppose -14*w + 166 - 12 = p. What is the remainder when 98 is divided by w?
10
Let o(b) = -2*b + 12. Let u be o(5). Let q(f) = -f**2 - u + 2*f**2 - 3 - 1. Calculate the remainder when 3 is divided by q(3).
0
What is the remainder when 973 is divided by (66 - -1) + 0 + 8?
73
What is the remainder when 95 is divided by (-1)/(0 + (-8)/88)?
7
Let y = 522 - 484. What is the remainder when 147 is divided by y?
33
Let d = -143 - -246. Calculate the remainder when d is divided by 22.
15
Let q(x) be the second de