e remainder when b is divided by 51?
49
Let x(v) = -22*v + 6. Let y be x(2). Let i = y - -83. What is the remainder when i is divided by 15?
0
Suppose 19*d - 215 = 14*d - 2*l, 43 = d + 4*l. What is the remainder when 161 is divided by d?
32
Suppose 0*d = -3*a + 4*d - 451, -3*d = 6. Let g = -109 - a. Calculate the remainder when g is divided by ((-23)/(-3))/((-1)/(-3)).
21
Suppose 339*n + 286 = 352*n. What is the remainder when n is divided by (-9)/(0 - (-9)/(-6))?
4
Let v(h) = -2*h**3 - 26*h**2 - 48*h + 51. Suppose u - 1 - 3 = 0. Suppose 0*g - u*g + 92 = c, c = g - 28. What is the remainder when v(-11) is divided by g?
23
Let y = 456 + -262. Let o = 17 - 4. What is the remainder when y is divided by o?
12
Let l = 228 + -49. Suppose 769 + l = -3*c. Let q = -219 - c. Calculate the remainder when q is divided by 25.
22
What is the remainder when (-7 + (-143)/(-22))*-7438 is divided by 60?
59
Suppose 12 + 60 = -3*i. What is the remainder when 46 is divided by 180/i*(4/(-3) - 0)?
6
Let b(n) = -5*n + n**2 + 3 - 8*n**2 + 6*n. Let i be b(-3). Let w = -37 - i. Calculate the remainder when w is divided by 14.
12
Let h(c) = 12*c - 71. Calculate the remainder when h(11) is divided by 24.
13
Suppose -2*d - 4*l + 45 = l, -3*d + 35 = l. Let k(m) = -m**2 + 12*m + 3. Suppose b + 3*b = 24. What is the remainder when k(d) is divided by b?
5
Suppose 0 = -5*o - 0*o + 25. Suppose o*a - 44 = 16. Calculate the remainder when 53 is divided by (a/14)/(2/42).
17
Let m = 59 + -35. Suppose 0 = -5*z - 2*u, -z - u - 1 = z. Suppose j - 42 = -5*b, -5*j = -z*b - m + 57. What is the remainder when 44 is divided by b?
8
Suppose -u + 4*u = -66. Let w = -11 - u. Let a = -17 - -59. What is the remainder when a is divided by w?
9
Suppose -46*m + 48*m = 3*b - 228, 5*m - 15 = 0. Calculate the remainder when b is divided by 20.
18
Let g = 286 - 18. What is the remainder when g is divided by 18?
16
Suppose 5*s = -5*q + 600, -q + 72 = -3*s - 60. Let x = 133 - 71. Calculate the remainder when q is divided by x.
61
Let y = -1044 - -1221. Calculate the remainder when y is divided by 30.
27
Suppose 0*z + 2*z = 0. Suppose z = -2*o + 44 - 18. Calculate the remainder when 25 is divided by o.
12
Suppose 0 = -0*p + 2*p - 48. Let c = -7232 - -7327. Calculate the remainder when c is divided by p.
23
Let c(g) = -g**3 - 9*g**2 - 8*g - 8. Let t be c(-8). Let r = -8 - t. Suppose r = 12*a - 8*a - 148. What is the remainder when a is divided by 20?
17
Calculate the remainder when (478/(-4))/(-13 - 2064/(-160)) is divided by 172.
163
Let y(a) = -a**3 + 17*a**2 - 35*a - 52. Calculate the remainder when 52 is divided by y(14).
6
Let w = -2 + 9. Suppose -3*a = -w*a. Suppose -4*p - 33 + 89 = a. What is the remainder when 41 is divided by p?
13
Let g be 11/4 - (-12)/(-16). Suppose 2*q - 18 = g. Calculate the remainder when 39 is divided by q.
9
Let i be (-1)/(129/(-126) - -1). What is the remainder when 80 is divided by 2/(-3)*18/(-12)*i?
38
Let b = -68 - -125. What is the remainder when b is divided by 21?
15
Suppose q + 13 + 7 = 0. Let f(k) = -3*k - 1. Let a be f(1). Let p = a - q. What is the remainder when 59 is divided by p?
11
Let g be -1 + 10/(1 + 1). Suppose -g*y - 7 = -23. What is the remainder when 10 is divided by y?
2
Let b = 8 + -6. Suppose 0 = 2*u + h + 4, -b - 8 = 5*h. What is the remainder when 44 is divided by ((-1)/u + 23)/2?
8
What is the remainder when (-12)/9*(-828)/48 is divided by 15?
8
What is the remainder when 230*(-3)/(-6) - -8 is divided by 9?
6
Let d = -40 - -43. Suppose -2*a - 73 = -d*a. Calculate the remainder when a is divided by 25.
23
Let d(y) = -4*y + 1. Let n be d(-2). Let k = -25 + n. What is the remainder when k/(-1 - 1)*3 is divided by 14?
10
Suppose -3*x = x. Suppose 4*w - w - 6 = x. Calculate the remainder when 1161/36 - w/8 is divided by 17.
15
Let b be (6*(-3)/3)/(-1). Let h be (b/(-15))/(4/(-20)). Suppose h*r = 7 + 25. What is the remainder when r is divided by 6?
4
Let u(v) = -v**3 - 30*v**2 - 32*v + 43. What is the remainder when u(-29) is divided by 47?
36
What is the remainder when 798 is divided by -8*(-1 + -2) + -4?
18
Let u(k) = 17*k + 21. Let z be u(7). Suppose -4*m + 164 - 49 = p, 5*m - z = -5*p. What is the remainder when m is divided by 10?
9
Let i(z) = 5*z - 9. Let t be i(6). Suppose -3*a = -6*a + t. Suppose -88 = 5*k - a*k. Calculate the remainder when k is divided by 15.
14
Let b(m) = 3*m**2 + 5*m - 2 + 0 + 2. Let u = -87 + 83. What is the remainder when b(u) is divided by 15?
13
Let j(u) = u**2 - 13*u. Let v be j(13). Let h be 2 + -2 + (19 - v). What is the remainder when 36 is divided by -2 + (-4)/(-2) + h?
17
Suppose -o + 2*o - 6 = 0. Let h(t) = t**3 + 36*t**2 + 4*t + 153. What is the remainder when h(-36) is divided by o?
3
Let l be ((-7)/((-84)/9))/(3/8). Suppose l*d - 104 = -4*z, 2*d - 4*z = -5*z + 116. What is the remainder when d is divided by 21?
18
Let j = -10 - -20. Suppose -5*x + 20 = 3*u, 2*u + 3*x - 5 = j. What is the remainder when u is divided by 2 + -2 + (-1 - -5)?
3
Let i(g) = -61*g - 53. Calculate the remainder when 231 is divided by i(-1).
7
Let u be (16 + -1)*96/20. Suppose 0 = -3*p + 34 + 5. What is the remainder when u + -3 + 21/3 is divided by p?
11
Let i = -132 - -177. Calculate the remainder when i is divided by 12.
9
Suppose -5*j - 61 - 13 = -3*u, j - 104 = -3*u. What is the remainder when u is divided by 18?
15
Suppose 0 = -9*b + 102 + 330. Let q = b - 40. Suppose -4*v + 17 = -35. What is the remainder when v is divided by q?
5
Calculate the remainder when 11 is divided by 2 - (-3)/(-3) - (0 + -5).
5
Let q(d) = -13*d**3 - d. Let i be (-7)/(7/3) - -27. Let r = 78 - i. Calculate the remainder when r is divided by q(-1).
12
Let l be (12/(-16))/(1/(-36)). Suppose -l*s = -22*s - 65. What is the remainder when 48 is divided by s?
9
Let v = 10 + -10. Let n be v - 0 - (-6 + 8). What is the remainder when 9 is divided by (8/32)/(n/(-16))?
1
Suppose 0 = 22*k - 17*k + 15. What is the remainder when 114 is divided by ((-87)/k)/(4 + -3)?
27
Let x = 36 + -36. Suppose 8*i + 9 - 89 = x. Calculate the remainder when 19 is divided by i.
9
Let z(k) = -2*k**3 + 42*k**2 - 39*k + 14. What is the remainder when 76 is divided by z(20)?
8
Let l = 59 - 29. Suppose 2*g + 6 = l. Calculate the remainder when 23 is divided by g.
11
Suppose -50*o + 172 = -48*o - 3*i, 5*o = -i + 413. Calculate the remainder when 246 is divided by o.
80
Let u(a) = -3*a - 8. Let m be u(-3). Suppose -11 = -5*x - m. Suppose -h - g = -6*g - 1, -g - 11 = -x*h. What is the remainder when 20 is divided by h?
2
Suppose 0 = 5*y - 20, 0 = -x + 5*y - 13 + 43. Suppose 16 - x = -2*a. What is the remainder when a is divided by 8 + 2 + 2 + -3?
8
Let h(l) = l**2 + 16*l - 32. Let z be h(-15). Let n = z - -50. What is the remainder when 4 is divided by n?
1
Calculate the remainder when (10 + -2)*(-2 + 255/20) is divided by 31.
24
Let g(y) = 5*y + 5*y**2 - 78*y**3 + 9 + 8 + 79*y**3. Suppose -3*i + 75 = 3*f - 39, 5*f - 176 = 2*i. Calculate the remainder when f is divided by g(-4).
10
Let h be ((-36)/(-6))/((-3)/(-4)). Suppose 4*w = h*w - 132. What is the remainder when w is divided by 9?
6
Let c = 49 - 46. What is the remainder when 30 - 2*(c + 9/(-6)) is divided by 14?
13
Let v(p) = -p**2 - 27*p + 305. Calculate the remainder when 223 is divided by v(8).
23
Suppose -5*r + 135 = -5. Calculate the remainder when (-292)/(-7) + (-4 - (-120)/r) is divided by 15.
12
Let z(u) = -u**3 - 17*u**2 - 24*u - 34. Calculate the remainder when z(-19) is divided by 82.
78
Let c = 29 + -24. Suppose -356 = -c*k - 2*t, 4*k + 2*t = -3*t + 295. What is the remainder when k is divided by 18?
16
Let n(c) = c**3 + 5*c**2 - c - 3. Let b be n(-5). Suppose -s = -3*x + 9, 4*s = b*x + 7 + 7. Let t = -456 + 459. What is the remainder when s is divided by t?
0
Suppose 2*i + 2*i = w, 4*i + 60 = 4*w. Let n = -18111 - -18190. What is the remainder when n is divided by w?
19
Let z(i) = -3*i + 37. Let a be z(15). Let n(g) be the second derivative of g**3/6 + 9*g**2 + 2*g. What is the remainder when 17 is divided by n(a)?
7
Suppose 5*t = 4*q - 187, 0 = 39*q - 38*q - 2*t - 49. What is the remainder when 124 is divided by q?
38
Suppose 12*k = 9*k + 5*b + 64, -2*b - 10 = 0. Calculate the remainder when 26 is divided by k.
0
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