ppose -8*s = -3*d - 3*s - 41, -20 = 4*s. Let h = d - -25. Suppose 6*n - 225 = h*n. What is the remainder when n is divided by 13?
10
Suppose 384 = 3*s + 3*m, 25*s + 5*m + 467 = 29*s. Let i(d) = 3*d**2 + 3*d. Calculate the remainder when s is divided by i(-3).
15
Let k = -10 - -36. Let m(u) = -u**2 + 15*u + 50. What is the remainder when m(15) is divided by k?
24
Suppose 2*a - 6*a + 52 = 0. Suppose l - 75 = 16*l. What is the remainder when a is divided by ((-8)/(-2))/(l/(-15)*3)?
1
Calculate the remainder when 39 is divided by (6 - 12/6) + 18.
17
Suppose -5*w + 650 = 8*w. Suppose -5*i + 2*b = 7*b - 75, -2*b = -3*i + 65. Calculate the remainder when w is divided by i.
12
Let f(a) = -a**3 - 2*a**2 - 3*a - 3. Let u = -3 - -11. Let h(q) = q - 12. Let s be h(u). Calculate the remainder when f(s) is divided by 21.
20
Suppose 0 = 3*k - 14 - 7. Let p = -11 + k. Let l(f) = f + 7. What is the remainder when 9 is divided by l(p)?
0
Let d(h) = -h**2 - h + 25. Let x(w) = -7*w**3 - 3*w**2 - 3*w - 1. Let l be x(-1). Suppose 0 = -o - l*o + 98. What is the remainder when d(0) is divided by o?
11
Let y = -2329 + 2647. What is the remainder when y is divided by 40?
38
Suppose 0*u - 2*u + t = -1, -2 = 2*t. Calculate the remainder when 12 is divided by (260/156)/((-2)/(-6) - u).
2
Let c(y) = -y**2 - 8*y - 6. Let w(o) = -17 - 13*o - 9*o**3 + 10*o**3 + 37 - 5*o**2. Calculate the remainder when w(7) is divided by c(-6).
3
Let i = -751 + 764. Let n = 11 - 6. Suppose 0 = 2*t - 5*y - 120, -t - 6*y + 46 = -n*y. Calculate the remainder when t is divided by i.
11
Let j = -1 - 6. Let v(z) = -4*z - 14. Let p be v(j). Let c = p + -11. What is the remainder when c is divided by 1?
0
Let p be -2 + 15 + 3 + 0. Let r = p + -10. Let t = -85 + 106. What is the remainder when t is divided by r?
3
Let w(j) = 29*j**2 - 3*j + 3. Calculate the remainder when w(1) is divided by 11.
7
Let u(h) = -5*h - 8. Let m be (-4)/18 + 286/(-9). Let g = m + 47. What is the remainder when u(-7) is divided by g?
12
Let f be (-1 + -3 + 2)/2. Calculate the remainder when 46 is divided by 4 + (-2)/(f + 0).
4
Let x(n) = 45*n - 5. Let t be x(4). Let y = t - 114. Suppose 64 + 0 = 4*v. What is the remainder when y is divided by v?
13
Calculate the remainder when ((-13)/8)/(-13) + (-7006)/(-16) is divided by 10.
8
Let k(g) = -2*g**3 + 4*g - 10. Calculate the remainder when k(-4) is divided by 48.
6
Suppose 3*h = -10 - 14. Calculate the remainder when (36/12 - 61)*-1 is divided by 6*3 - h/(-4).
10
Let t(m) = -8*m - 60. Suppose -4*q + 61 = -31. Calculate the remainder when q is divided by t(-8).
3
Let h(o) = o + 33. Calculate the remainder when h(-11) is divided by 12.
10
Let f(z) be the first derivative of z**2/2 + 32*z - 4. Let j be f(0). Let m = j - -33. What is the remainder when m is divided by 22?
21
Let d = 222 - 195. Calculate the remainder when 214 is divided by d.
25
Suppose -n + 180 = 4*n. Suppose 0 = 4*f + b - 144, f + 2*b - 7*b - n = 0. What is the remainder when f is divided by 22?
14
Calculate the remainder when 16/(-88) + 1522/22 is divided by 18.
15
Let h(z) = -z**3 + 15*z**2 - 40*z - 25. Calculate the remainder when h(11) is divided by 4.
3
Let u = 46 - -8. Suppose -60 - u = -2*t. What is the remainder when t is divided by 10?
7
Let d(r) = -7*r - 5. Let q(b) = -b**3 + 10*b**2 + 12*b + 7. Let v be q(11). Let f = v - 10. Calculate the remainder when d(-5) is divided by f.
6
Let g(s) = -s**2 + 6*s + 6. Let o be g(5). Let w = 23 - o. Let t = 18 - w. Calculate the remainder when t is divided by 4.
2
Let s = -11 + 10. Let y be 2/s + 169/13. What is the remainder when 19 is divided by (y - 12)*(-12 - -1)?
8
Let i(m) = m**3 - 13*m**2 - 40*m - 122. What is the remainder when 107 is divided by i(16)?
5
Suppose 11199 - 87803 = -22*x. What is the remainder when x is divided by 85?
82
Suppose -45*d - 69 = -2679. Suppose -j = 5*s, 4*j = -5*s + 2 + 43. Calculate the remainder when d is divided by j.
13
Let q = -31 + 33. Suppose 0 = 3*o - 6*o + 12. Suppose 2 = -a - c, 9 = a - o*a - 4*c. What is the remainder when q is divided by a?
0
Let l = 235 + 1897. Calculate the remainder when l is divided by 61.
58
Suppose -6*z = -28 + 286. Let m = 130 + z. What is the remainder when m is divided by 11?
10
Suppose 213 = f - c, 0 = f + 4*c - 219 - 19. Calculate the remainder when f is divided by 45.
38
Suppose -88*w + 106*w - 432 = 0. Calculate the remainder when 454 is divided by w.
22
Let u = 112 + -109. What is the remainder when ((-2)/(-4)*u)/((-3)/(-164)) is divided by 17?
14
Suppose -2*h + 4*b = -48, -8*h + 3*h + 3*b + 120 = 0. What is the remainder when 213 is divided by h?
21
Suppose -3*y + 4*y - 107 = -2*n, 0 = 4*y - 2*n - 458. What is the remainder when y is divided by 19?
18
Suppose 0 = 2*o - n - 42, 64*o - 62*o - 42 = -5*n. Let a(l) = 5*l + 1. What is the remainder when o is divided by a(1)?
3
Let h(t) = t**3 + 7*t**2 - 2*t - 2. Let v(y) = -2*y**3 - 11*y**2 + 3*y + 3. Let q(o) = 8*h(o) + 5*v(o). Calculate the remainder when q(-4) is divided by 38.
33
Suppose -5*y + 179 = -111. Let l be 5/(15/(-16))*(-42)/28. Suppose -5*v - 4*s + 134 = 0, -9*v = -l*v + 3*s - 18. Calculate the remainder when y is divided by v.
28
Let h = -60 + 95. Suppose 4*x = -3*x + 21. Suppose x*g = 31 + 383. What is the remainder when g is divided by h?
33
Let l(z) = -z**3 + 4*z - 1. Let r be l(5). Let a = 177 + r. What is the remainder when a is divided by 12?
11
Suppose -39 = -2*q - 7. Let n = -3 + 2. Let c(y) = -60*y**3 + y**2 - y - 1. Calculate the remainder when c(n) is divided by q.
13
Let t = 170 - 153. What is the remainder when (1 + -2)*11*-3 is divided by t?
16
Let w(d) = -18*d - 7. Let h be w(5). Let g be 6/(-2) - (h + 1). Suppose -g = -0*n - n. What is the remainder when n is divided by 24?
21
Suppose -67 = -g - k, -11*k + 7*k = -2*g + 164. What is the remainder when 140 is divided by g?
68
Suppose -10 + 38 = -4*q. What is the remainder when 48 is divided by (q - 9/(-3)) + 15?
4
Let n(p) = -219*p**2 - 2*p - 1. Let r be n(-1). Let z = r + 18. What is the remainder when (12/(-5))/(16/z) is divided by 8?
6
Let n(w) = 10*w**2 + 22*w - 2. Calculate the remainder when 0 - (4 + -2) - -44 is divided by n(-3).
20
Let w(z) = z**3 + 6*z**2 + 5*z + 1. Let p be (-2 + 6 - 1) + -7. What is the remainder when w(p) is divided by 1/2 + (-11)/(-2)?
1
Let n(u) = u**3 - u**2 + u + 5. What is the remainder when n(5) is divided by (4/10 + -2)*(-70)/4?
26
Let n be (-1576)/32 - 2/(-8). Let y = -40 - n. What is the remainder when ((2 - 1) + -36)*-1 is divided by y?
8
Let f = -9 + 11. Let w(v) = 5 + 0*v + 5*v - 2*v**3 - v - 6*v**f + 4*v. What is the remainder when w(-5) is divided by 22?
21
Suppose -155 = -3*u + 4*t, -5*t - 205 = -2*u - 2*u. Calculate the remainder when u is divided by 18.
9
Let u = 113 + -103. Suppose -q = -0*q + v - 18, -3*v = -5*q + 82. Calculate the remainder when q is divided by u.
7
Let x = -125 + 132. What is the remainder when 26 is divided by x?
5
Let o = -3 + 13. What is the remainder when (-57 - 3)/(304/(-228)) is divided by o?
5
Let z = 5 + -1. Suppose z*g = -g + 15. What is the remainder when ((-585)/27)/((-35)/21) is divided by g?
1
Let o = -31 + 39. Suppose 0 = o*z - 4 - 12. Suppose -2*t + 24 = 2*t. What is the remainder when t is divided by z?
0
Let j = -2106 + 2918. What is the remainder when j is divided by 19?
14
Suppose -n = -5, -5*o - 3*n + 43 = 3. Suppose -6*v + 4 = -o*v. Calculate the remainder when 6 is divided by v.
2
Let n = 114 + -118. What is the remainder when 76 is divided by n/6*(-30 + 2 + -2)?
16
Suppose 2*n - n = -5*l + 25, 155 = 5*n - 5*l. Calculate the remainder when 144 is divided by n.
24
Let x(v) be the first derivative of 11*v**4/24 - v**2 + 4. Let z(a) be the second derivative of x(a). What is the remainder when z(2) is divided by 12?
10
Suppose 10*q = -8 + 98. Suppose -54 = -3*c + 24. Calculate the remainder when 687/q - (4/(-6) - 0) is divided by c.
25
Suppose 2*m = -2*f + 80, 4*m - 6*m + 10 = 0. Calculate the remainder when 100 is divided by f.
30
Let h = 144 - 140. Suppose -6*b = h*b - 350. Calculate the remainder when b is divided by 9.
8
Suppose 0 = 5*q - 120 - 325. Calculate the remainder when q is divided by 10.
9
Let v be (2 + 6/(-4))/(5/280). Suppose 0 = 2*n - v - 58. Calculate the rema