. Let u(o) = -o**3 + 9*o**2 - 7*o + 2. Suppose -5 - 1 = -x. Calculate the remainder when u(n) is divided by x.
4
Let g(o) = o**3 + 6*o**2 + 2*o + 2. Calculate the remainder when 31 is divided by g(-5).
14
Let s = 0 - -2. Let q be (1 - 0 - 1) + s. Suppose 3*r = -3*c + 30, q*r = 6*r + c - 55. What is the remainder when 44 is divided by r?
14
Let c = 20 + 9. Suppose 1 = 3*g - c. Suppose -a = -h - 19, 0*a - 5*a = 4*h - 86. Calculate the remainder when a is divided by g.
8
Suppose -j = 3*j + 4*w - 120, 4*j = 5*w + 138. Calculate the remainder when j is divided by 17.
15
Let y(x) = -x**3 - 5*x**2 - x + 3. Let k be y(-6). Suppose -5*c = -3*l - 15, 0*c + 5*c + 3*l = k. What is the remainder when c is divided by 4?
2
Suppose 5*r - 4*j + 106 + 199 = 0, 2*r = -3*j - 145. Let p = -42 - r. What is the remainder when p is divided by 12?
11
Let n = 23 + -14. Suppose 5*l - n = -c, -4*c = -4*l - 3*c + 9. Let m = 4 - 0. Calculate the remainder when m is divided by l.
0
Calculate the remainder when 137 is divided by 486/14 + (-30)/(-105).
32
Let j be -37 + (-3 - -2) - 2. Let q = 60 + j. Calculate the remainder when q is divided by 11.
9
Let p = -9 + 20. What is the remainder when 29 is divided by p?
7
Let f = 6 - 5. Let m be 6/1 - (f + 0). Suppose 26 + 9 = m*w. What is the remainder when w is divided by 3?
1
Let q(j) = j**3 - 5*j**2 + 4*j - 2. Let d be q(5). Suppose 3*s - 2*g - 3 = 2*g, 2*g + 4 = 2*s. What is the remainder when d/2 - (0 - -1) is divided by s?
3
Suppose -5*w = -4*s + s - 148, 5*s + 3*w + 190 = 0. Suppose 96 = -5*b + b. Let k = b - s. Calculate the remainder when 50 is divided by k.
16
Let d(o) = -2*o + 69. What is the remainder when d(-15) is divided by 30?
9
Suppose g = -5*r - 16, -g - g - 5*r - 22 = 0. Calculate the remainder when 21 is divided by 48/20*(-20)/g.
5
Suppose 5*o - r - 14 = 0, 4*o + 2 = -3*r - 2. Suppose 2*a - o = 6. What is the remainder when 11 is divided by a?
3
Suppose 26 = 4*v - 2*i, -4*v - 3*i = -v - 24. What is the remainder when v is divided by 2?
1
Let a(p) = -10*p - 1. Let o = 1 + -2. Let y be a(o). Suppose -5*t + 2*z + 45 = -2*z, 3*z = t - y. Calculate the remainder when t is divided by 5.
4
Suppose 23 = 4*q - 2*d - d, -31 = -3*q + 5*d. Calculate the remainder when (42/4)/(1/q) is divided by 11.
10
Suppose 0 = -3*z, -h + 43 + 39 = -3*z. What is the remainder when h is divided by 17?
14
Let v = -8 + 16. Calculate the remainder when 21 is divided by v.
5
Let q = -4 - -11. Suppose 0 = 3*r + 2*r - 190. Suppose 5*o - 22 = r. What is the remainder when o is divided by q?
5
Let y(k) = 6*k. Suppose 2*b + 152 = 4*b. Suppose -5*m + b = 11. Calculate the remainder when y(4) is divided by m.
11
Let k(q) = 16*q**2 - 6*q - 1. Let r be k(-4). Suppose 4*b = b + r. Suppose z - 3*a - 69 = -3*z, -b = -5*z - 3*a. What is the remainder when 52 is divided by z?
16
Let r(s) = s + 0*s + 23 - 3. Let o be (-24 + 4)/4 - 4. What is the remainder when r(o) is divided by 4?
3
Calculate the remainder when 5/20*101 - 1/4 is divided by 15.
10
Let s = 5 - -15. What is the remainder when s is divided by 0/1 + 6 + 1?
6
Suppose -r - r + 22 = 0. Calculate the remainder when 32/(-2)*(-2 - 0) is divided by r.
10
Suppose 3*i = -2*i + 30. Suppose 0 = -2*m - x + i*x + 64, m - 38 = 4*x. Calculate the remainder when m is divided by 8.
6
Suppose -g + 6 = 2. Let a(c) = -c + 24. What is the remainder when a(10) is divided by g?
2
Let r be ((-8)/(-5))/(4/10). Let m be 1/r - 10/8. What is the remainder when m/3 - 170/(-15) is divided by 4?
3
Let d = 71 - 19. Suppose 0 = -m + d + 3. Calculate the remainder when m is divided by 14.
13
Suppose 2*c - 1 = -3*k + 6*k, -3*c = -3*k. Calculate the remainder when 15 is divided by c/(-2)*18/1.
6
Let c(l) = 6*l + 12*l - l**2 + 10 + 0*l - 32. Calculate the remainder when c(12) is divided by 13.
11
Suppose -2*z - 38 = -3*m, -4*m = z - 60 + 24. Let r(t) = -6*t - 10. What is the remainder when r(-8) is divided by m?
8
Let o(r) = -r**3 - 10*r**2 + r + 11. Calculate the remainder when 1 is divided by o(-10).
0
Let u(w) = -34*w + 4. Calculate the remainder when u(-2) is divided by 25.
22
Let v(k) = 2*k**2 - 2*k - 5. Let o be v(4). Suppose f + 3*p - o = 0, 2*p - 6*p - 44 = -4*f. What is the remainder when f is divided by 4?
1
Let c(r) = -r**3 - 15*r**2 - 17*r - 28. Calculate the remainder when 81 is divided by c(-14).
11
Suppose -4*l = -3*l - 20. What is the remainder when 78 is divided by l?
18
Suppose -2*t = m - 9, t - 3 + 27 = m. Let x(b) = -b**3 + 10*b**2 - 9*b - 10. Let r be x(9). Let j = r + 20. Calculate the remainder when m is divided by j.
9
Suppose l + 2*s = 21, 3*l - s - 23 = 3*s. What is the remainder when (185/(-10))/(1/(-2)) is divided by l?
11
Calculate the remainder when (0 + -44)*((-2)/(-4) + -1) is divided by 11.
0
Suppose 7*m - 9 - 12 = 0. What is the remainder when 7 is divided by m?
1
Suppose -3*j = -4*j + 5. What is the remainder when 19 is divided by j?
4
Let w(p) = 5*p + 16. Calculate the remainder when 45 is divided by w(0).
13
Suppose 0 = -7*c + 5*c - 5*t + 13, -4*t + 8 = c. Let j = c - -3. What is the remainder when j is divided by 4?
3
Suppose 0 = -2*u + 3*u - 2. Suppose 4*i = -2*o + 75 + 21, 4*i = o - 24. What is the remainder when o is divided by 3/(-6) + 29/u?
12
Suppose -21 = 4*v - 85. What is the remainder when 46 is divided by v?
14
Let t(d) = d**3 - 8*d**2 + 6*d - 4. Let k be t(7). Let f = k - -21. What is the remainder when 18 is divided by f?
8
Let v = -2 + 2. Calculate the remainder when 1 - 1/(-2)*(29 - 17) is divided by 1*(v + (-3)/(-1)).
1
Suppose -75 = -8*g + 69. Let c = 4 + 1. Suppose -38 = -3*r + 4*h, -r = -c*h - 0*h - 20. Calculate the remainder when g is divided by r.
8
Let c(z) = -12*z - 5. Let l(a) = -a**2 + 11*a + 6. Let f(i) = -5*c(i) - 4*l(i). What is the remainder when f(-5) is divided by 11?
10
Suppose -42 = -6*r + 36. What is the remainder when 37 is divided by r?
11
Let r = -154 + 70. Let s be ((-1)/3)/(4/r). Calculate the remainder when 18 is divided by 1 + s/1 - -2.
8
Let b(o) = o**3 - 7*o**2 + 5*o + 9. Let m be b(8). Suppose 0 = 5*j - 2*i - m - 19, -2*j = -3*i - 44. Calculate the remainder when j is divided by 10.
8
Suppose 0*k - 5*k = -35. Calculate the remainder when k is divided by (-29)/(-7) + (-1)/7.
3
Suppose -3*f + 27 = -21. Suppose i - f = w, -3*w - 6 + 0 = 0. Calculate the remainder when 27 is divided by i.
13
Suppose 6*u - 112 = -4*k + 2*u, -2*k = 4*u - 60. What is the remainder when 72 is divided by k?
20
Let t(h) = 16 - 12 + 2*h - 17 + h. What is the remainder when t(6) is divided by 3?
2
Let s(n) = -5*n - 2. Suppose -7*a + 5*a = -10. Calculate the remainder when s(-2) is divided by a.
3
Suppose 5*x - 5*d - 442 = -142, 0 = 3*d. What is the remainder when x is divided by 31?
29
Let u(l) = -l**3 + 8*l**2 + 5*l - 2. What is the remainder when u(4) is divided by -28*5/(60/(-9))?
19
What is the remainder when -1*(-6 + 2 + -17) is divided by 11?
10
Suppose i + 2*i = 0, -4*j + 8 = -2*i. Suppose 3*x = 5*r + 55, -82 = -j*x - 2*x - 2*r. Calculate the remainder when 79 is divided by x.
19
Suppose -22 = -4*m + 18. Calculate the remainder when ((-117)/(-15))/((-1)/(-5)) is divided by m.
9
Let p = 5 - 3. Suppose 2*y - p*c - 5 - 13 = 0, c = 5*y - 29. Suppose 2*u - 2*z = 12, -y*z - 4 + 14 = 0. What is the remainder when u is divided by 3?
2
Suppose 0 = -2*y + 8*y. Let l = y + 10. What is the remainder when 29 is divided by l?
9
Let u(c) = 1. Let j(x) = -x + 5. Let p(d) = j(d) - 6*u(d). Let f be p(-3). Suppose -7*b + 80 = -f*b. What is the remainder when 46 is divided by b?
14
Let y = 16 - 6. Calculate the remainder when 17 is divided by y.
7
Let u(q) = 10*q + 1. Suppose 3*z - 5*z - 1 = -3*f, -2*z + 5*f = 3. What is the remainder when 19 is divided by u(z)?
8
Let z(s) = -4*s + 2. Let h = 7 - 9. Let p be z(h). Let l = p - 1. Calculate the remainder when 17 is divided by l.
8
Suppose 4*b - 8*b - 4*v = -12, -12 = -5*b - 2*v. Let n be ((-2)/5)/((-2)/10). Calculate the remainder when b + 0*n/6 is divided by 2.
0
Let i(f) = -f**3 - 4*f**2 + 5*f + 4. Let d be i(-5). Suppose 0*p - 2*p + b = 0, 2*p + d = 2*b. What is the remainder when 7 is divided by p?
1
Let o be 1*6/2*1. Suppose 0 = o*j - 5 - 73. Calculate the remainder when j is divided by 2/(-9) - (-256)/18.
12
Suppose -222 = -2*k + 4*m