
Let n(v) = v**3 + 8*v**2 - 2*v - 11. Let m(g) = 3*g**3 - g - 1. Let q be m(-1). What is the remainder when 117 is divided by n(q)?
37
Let x = 65 + -62. Suppose -x*v + 259 - 88 = 0. What is the remainder when v is divided by 21?
15
Suppose 13*t = 45*t - 7744. Calculate the remainder when t is divided by 35.
32
Suppose -3*v + 2*v = 55. Let r = -29 - v. Calculate the remainder when r is divided by 6.
2
Suppose -6*f = -3*f, 4*q + 5*f - 88 = 0. Calculate the remainder when q is divided by 5.
2
Suppose 37*c - 43*c = 18*c - 816. Calculate the remainder when c is divided by -3*3/(1/(-1)).
7
Let v(j) = 100*j + 21. Let i(o) = -50*o - 11. Let t(l) = 7*i(l) + 4*v(l). What is the remainder when t(2) is divided by 28?
23
What is the remainder when 165 is divided by 6 + (-36)/((-12)/2)?
9
Suppose 11 = 5*z - 5*y + 1, -4*y = -8. Calculate the remainder when 9 is divided by z.
1
Suppose -4*v + 3*f + 995 = 0, 22*f + 1001 = 4*v + 21*f. Calculate the remainder when v is divided by 28.
27
Let j be 20/130 + 264/(-26). Let d be (1 - j/(-6))*-3. What is the remainder when d/(-3) + 215/3 is divided by 15?
11
Suppose 0 = z - 4*g - 195, -g - 2*g - 193 = -z. What is the remainder when z is divided by 27?
25
Let c(l) = 20*l + 1. Let s = 9003 - 8980. What is the remainder when c(3) is divided by s?
15
What is the remainder when 26 + 13/(78/(-84)) is divided by 6/(-9) - (-23)/3?
5
Suppose a + k - 16 = 0, -17 = 2*a - 4*a + k. Calculate the remainder when 73 is divided by a.
7
Let y = 190 - 93. Let q(x) = 8*x + 54. Let i be q(-6). Let f(k) = 12*k - 47. What is the remainder when y is divided by f(i)?
22
Let n be 5 - 6/(2 + 1). Suppose 358 = 2*c + n*c + 2*q, 0 = -3*c + 4*q + 220. Suppose -c = w - 2*w. What is the remainder when w is divided by 25?
22
Let t(i) = -i**3 + 4*i**2 - i + 1. Suppose 4 = 3*b - y, 6*y - y = 4*b + 2. Let f be t(b). Let l = 16 - f. What is the remainder when l is divided by 4?
1
Suppose 702 = 3*l + 2*t - 607, -5*t - 1753 = -4*l. Calculate the remainder when l is divided by 45.
32
Suppose 1 = 5*p - 4, v - 4*p = 8. Suppose 8 = 5*g - v. Suppose -u = 2*z - 34, g*u - 2*z - 92 = 2*u. Calculate the remainder when u is divided by 15.
12
Suppose 122*z - 70 = 112*z. Let o be -2 + -6 + 1 + 1. Let g = 32 + o. Calculate the remainder when g is divided by z.
5
Suppose -4*s + 14*i + 170 = 15*i, 2*i = -3*s + 125. Calculate the remainder when 1976 is divided by s.
41
Suppose -27 = -3*o - 12. Let d(j) = 8*j - 52. Calculate the remainder when 84/15 - (-2)/o is divided by d(7).
2
Let s be (-1)/(-1) - (-51)/17. Suppose 5*x + 8 = 4*x + 4*l, 68 = 4*x + s*l. What is the remainder when 47 is divided by x?
11
Suppose -l + 111 = c - 80, -4*l + c = -784. What is the remainder when l is divided by 18?
15
Let o(l) = l**3 - 2*l - 63 + 127 + 99 - l**2. What is the remainder when o(0) is divided by 41?
40
Let l(j) be the third derivative of j**5/30 - j**4/6 + 5*j**3/3 - 5*j**2 - 24. Suppose -7*d + 16 = -3*d. What is the remainder when 101 is divided by l(d)?
23
Suppose 0 = -y + 2*y - 28. Let w = -27 + y. Suppose 7 = n + w. What is the remainder when 21 is divided by n?
3
Let z be ((-36)/10)/(1*(-15)/200). Let m = z + -6. What is the remainder when 83 is divided by m?
41
Suppose 5*o + 26 = -8*o. Calculate the remainder when 1/o*-10 + 62 is divided by 34.
33
Let j be (-6)/18*3 - 30. Suppose -2*q - q - 156 = 0. Let m = j - q. What is the remainder when 82 is divided by m?
19
Suppose 5*d - 2*x - 63 = 0, 4*d + 2*x + 0*x - 36 = 0. Suppose 9*s + 6 = d*s. What is the remainder when s is divided by 3*((-10)/(-6) + -1)?
1
Let v(d) = d**2 + 9*d - 18. Let p be v(-11). Suppose p*u = 9*u + 20. Calculate the remainder when ((-38)/u)/(5/20) is divided by 10.
8
Let j = -90 + 49. Let a = -25 - j. Suppose -6*l = 2*u - 2*l - 8, -3*u + a = 4*l. What is the remainder when 14 is divided by u?
6
Suppose -84 = -6*d + 3*d. Let r = 15 + d. Let t(o) = o + 5. Calculate the remainder when r is divided by t(10).
13
Let n(a) = -3*a - 10. Let b(f) = f + 1. Let v(c) = 6*b(c) + n(c). What is the remainder when 68 is divided by v(9)?
22
Let z = -325 + 415. Calculate the remainder when 1527 is divided by z.
87
Let y = 82 + -127. Let j = y - -59. What is the remainder when 40 is divided by j?
12
Suppose 3*w - 12 = a, -3*w + 23 - 2 = 2*a. Suppose 0 = 2*d + 2*d + j - 266, a*d + 3*j = 195. Calculate the remainder when d is divided by 17.
16
Let i(l) be the first derivative of 20*l**3/3 + 5*l**2/2 + 2*l + 1. Let g be i(-3). Let w = g + -64. Calculate the remainder when w is divided by 26.
25
Let j = -1213 + 1243. Calculate the remainder when 56 is divided by j.
26
Suppose 15*z = -4 + 79. Let j(i) = -23*i**3 - i**2 + 2*i + 2. What is the remainder when j(-1) is divided by z?
2
Let m be (7/(21/(-24)))/(-2). Suppose 4*n - 2*n - 4*h = 46, -3*n - 2*h = -93. Calculate the remainder when n is divided by 11 - m/(-12)*0.
7
Let h = -175 - -238. What is the remainder when h is divided by 28?
7
Suppose 0 = 4*v - 5*d + 9, 2*v + 3*d - 10 = 13. Suppose 4*g = n - 43, 0 = -n - 3*n + v*g + 124. Calculate the remainder when n is divided by 6.
3
Suppose -14*y - 27 = -2*g - 15*y, 0 = -g - y + 16. Let p = -38 + 69. What is the remainder when p is divided by g?
9
Let y(q) = -q**3 + q**2 - q + 6. Let r be y(0). Let g = -6 + r. Suppose g*p + 4*p = 20. What is the remainder when 18 is divided by p?
3
Suppose 5*q - 5*g = 55, 0 = -3*q + g - 5 + 32. What is the remainder when (53/1)/(2 + (0 - 1)) is divided by q?
5
Let i = 28 - 26. Let k = 11 - i. Calculate the remainder when 5 is divided by (k - 2)*(-6)/(-21).
1
Suppose 0 = -4*l - 5*a - 8, 6*l = 2*l + a + 16. Let f(t) = 2*t**3 - 3*t**2 - 5*t + 4. What is the remainder when 157 is divided by f(l)?
13
Suppose 283 = -4*t + 475. Calculate the remainder when t is divided by 43.
5
Let p = -7688 - -7702. Let o(c) = c**3 - 2*c**2 + 6*c - 1. What is the remainder when o(4) is divided by p?
13
Let u(k) = -10*k - 5. Suppose 0 = -2*l + 47 + 9. What is the remainder when l is divided by u(-2)?
13
Let m(y) = -3 + 0 - 34*y**2 + 31*y**2 + 18*y. Calculate the remainder when 80 is divided by m(5).
8
Let t(a) = -10*a - 37. What is the remainder when 87 is divided by t(-5)?
9
Let i(r) = r**3 - 5*r**2 - 4*r + 3. Let h be i(5). Let t = 61 - h. What is the remainder when t is divided by 20?
18
Suppose 0 = -73*f + 88*f - 34950. What is the remainder when f is divided by 63?
62
Suppose -8*y - 20 = -4*y, 4*c + 5*y - 19 = 0. Suppose -28 - 47 = 3*v. Calculate the remainder when c is divided by 6/8 + v/(-4).
4
Suppose 2*b - 60 + 8 = 0. Let t = b + -23. Suppose t*a = -0*a - 5*f + 13, 2*f = 5*a - 1. What is the remainder when a is divided by 1?
0
Suppose -2*y + 4*y = -2*u, 15 = -2*y + 3*u. Calculate the remainder when 49 is divided by (0 + -1 + y)/((-24)/108).
13
What is the remainder when 536 is divided by 206/30 - ((-107)/15 - -7)?
4
Let z = 3124 + -3080. What is the remainder when 285 is divided by z?
21
Let v be (0/2 + 0)/(5 + -9). Suppose -17*w = -v*w - 1105. What is the remainder when w is divided by 23?
19
Suppose -16*a - 350 = -51*a. What is the remainder when 36 is divided by a?
6
Suppose -2*m + 41*g = 38*g - 111, -4*m - 5*g = -189. Calculate the remainder when m is divided by 11.
7
Let x(z) = -z**2 + 10*z - 10. Suppose 0 = -3*b - b + 28. What is the remainder when x(b) is divided by 4?
3
Let u = 6 - 4. What is the remainder when u/(-3)*(-414)/12 is divided by 12?
11
Let y be (-22)/(6/3)*-1. Let u = y + -10. Calculate the remainder when 42 is divided by -1 + u/(2/32).
12
Let t(x) = x**3 + 25*x**2 - 85*x - 12. Let y be (-1 + 1)*(1 - 0). Suppose -5*u + 118 + 37 = y. What is the remainder when u is divided by t(-28)?
15
Suppose -7*x + 5*b = -10*x - 28, 26 = -2*x + 4*b. Let a(t) = t**3 + 10*t**2 - 9*t + 26. What is the remainder when a(x) is divided by 2 - 1 - 0/2?
0
Let b(w) = w**3 - w**2 - 3*w. Let l be b(4). Let c be 8/l - (-102)/27. Suppose g + c*v + 3 = -2, -v - 37 = -3*g. Calculate the remainder when g is divided by 3.
2
Let s(p) = -p**3 - 7*p**2 + 8*p + 8. Let q = -47 - -90. Suppose 0 = -5*g - q + 113. Calculate the remainder when g is divided by s(-8).
6
Suppose 3*h = f + 74, h + 2*f = -h + 52. Suppose -2*w + 73 = h. Calculate the remainder when (176/w)/(2/3) is divided by 3.
2
Suppose 5*z = i + 81, 4*z = 7*i - 3*i + 