 + r. Let s(a) = -a**3 - 11*a**2 + 10*a + 12. Calculate the remainder when s(-12) is divided by p.
17
Suppose 6 = 4*i - 46. Calculate the remainder when 25 is divided by i.
12
Let p be (-14)/((-1 - 0)*2). Let n = 0 - 2. Let i = p + n. Calculate the remainder when 8 is divided by i.
3
Let w(i) = 2*i + 4. What is the remainder when w(7) is divided by 6?
0
Let p be (-1 + 0)*(-7 - -14). Let d(i) = i**2 + 5*i + 6. Let a be d(p). Suppose c - a = -3*c. What is the remainder when 8 is divided by c?
3
Suppose 7*n - 243 = 4*n. Calculate the remainder when n is divided by 23.
12
Suppose 3*g + 13 = -8. Let p = 14 + g. Calculate the remainder when 19 is divided by p.
5
Let n = -4 - 4. Let a(v) = -23*v**2 - 2*v + 1. Let w be a(1). Let q = n - w. What is the remainder when q is divided by 9?
7
Suppose -5 = -5*a, 5*y + 3*a + 53 - 1 = 0. Let g = y + 30. Let z = 8 - 1. Calculate the remainder when g is divided by z.
5
Suppose -6*u = -2*u + 228. Calculate the remainder when 17 is divided by (-1)/3 + u/(-9).
5
Let w = 37 + 48. Let h = -42 + w. Calculate the remainder when h is divided by 22.
21
Suppose -4*d + 5*f = -174, 0 = -2*f - 2*f - 8. Calculate the remainder when d is divided by 11.
8
Suppose -2*a + 177 = -m, 0*a = a - 2*m - 87. Calculate the remainder when a is divided by 23.
20
Let u = 128 + -81. What is the remainder when u is divided by 13?
8
Suppose 14 = -3*y + 4*y. What is the remainder when y is divided by 2 + -1 + 1 + 2?
2
Let v(i) = -i**2 + 9*i - 1. Let c be v(6). Suppose 17 = 4*x - 4*w - 11, -3*x + c = w. Calculate the remainder when 10 is divided by x.
4
Let j = 34 + 65. What is the remainder when j is divided by 34?
31
Let f(u) = 2*u**2 - 4*u + 7. Suppose 10 = 4*l - 14. Let c be f(l). Suppose -2*m + c = 3*m. What is the remainder when 21 is divided by m?
10
Let m(o) = 11*o + 5. Let k be m(10). Suppose 3*n = 5*x + k, 5 = n - 2*x - 33. What is the remainder when n is divided by 11?
7
Let c = 12 - 9. Suppose c = z - 25. What is the remainder when 82 is divided by z?
26
Let f = -4 - -4. Suppose d - r = -d + 8, f = -2*d + 5*r. Suppose -w + d*k = 1, w + 2*k = 6*w - 18. Calculate the remainder when 10 is divided by w.
2
Let q(p) = p**3 + 7*p**2 + 2*p - 3. What is the remainder when q(-4) is divided by 13?
11
Suppose 9*k = 347 - 122. What is the remainder when k is divided by 13?
12
Suppose -3*p + 4*g + 96 = -0*p, -6 = -2*g. Suppose -p = -4*q - 0. Let n = 10 + -5. Calculate the remainder when q is divided by n.
4
Let l be 6/(-8) + (-12)/(-16). Suppose 3*r - 60 - 129 = l. What is the remainder when r is divided by 22?
19
Suppose 6*s = s + 145. What is the remainder when s is divided by 8?
5
Suppose 4*q - 5*q = -8. What is the remainder when 22 is divided by q?
6
Let u = 2 + 14. What is the remainder when u is divided by 6?
4
Let d(w) = -6*w + 1. Let y be d(1). Let k(o) = o + 6. What is the remainder when 1 is divided by k(y)?
0
Suppose -u - 6 = -4*c, -3*c = c + 3*u - 14. Suppose d + d = -4*x + 268, -2*x = -c*d - 146. Calculate the remainder when x is divided by 18.
15
What is the remainder when 1 - (-1)/1 - -20 is divided by 5?
2
Suppose x - a - 1 = 0, -2*x - 5*a + 18 - 2 = 0. Let f = 7 - x. Let j(z) = -3*z - 2. What is the remainder when j(-4) is divided by f?
2
Let w(i) = 5*i**2 + 2. Suppose 5*x + 2 = -3. What is the remainder when 5*((x - 0) + 5) is divided by w(-1)?
6
Let f be (10/(-1))/(2 + -4). Suppose 3*x - 4*y - 42 = 0, -5*y = f*x - 80 + 10. What is the remainder when 26 is divided by x?
12
Let t be 50/(-18) + (-8)/36. Suppose -2*h + 18 = -0. Calculate the remainder when t/1 - (-26 + -3) is divided by h.
8
Suppose 2*o = -2*o + 8. Suppose o*n = 6*n - 148. Suppose -i - n = -2*h - h, -4*i - 16 = -h. What is the remainder when 35 is divided by h?
11
Suppose 2*s - 18 = 2*m, 2*m + 3*s = -0*s - 18. Calculate the remainder when 1 is divided by (-5)/(-3) + 6/m.
0
Let t = -729 - -144. Let y(o) = o**3 - 3*o**2 + 2*o + 2. Let h be y(2). Calculate the remainder when t/(-25) + h/(-5) is divided by 8.
7
Suppose -12*w + 7*w = -395. What is the remainder when w is divided by 9?
7
Let f = -23 - -39. Calculate the remainder when 77 is divided by f.
13
Let z(m) = -m**3 + 21*m**2 + 2*m - 35. Calculate the remainder when 33 is divided by z(21).
5
Let m(z) = 2*z + 107. Let o be m(0). Suppose 0 = -5*y + 4*d + 109, -5*y - 3*d = -5*d - o. Calculate the remainder when y is divided by 11.
10
Let b = 13 + 14. Let m(a) = a**3 + 9*a**2 + 6*a - 1. Calculate the remainder when b is divided by m(-8).
12
Let q(w) = w. Let x be q(10). Calculate the remainder when 3*x/(-2)*-1 is divided by 8.
7
Let n(g) = g**3 - g**2 + 12. Let d be n(0). Suppose q - d = -3*q. Let m = 8 + -1. Calculate the remainder when m is divided by q.
1
Let f(z) = -z**2 + 7. Let h(j) = -2*j. Let b be h(0). Calculate the remainder when f(b) is divided by 5.
2
Suppose -258 + 88 = -5*o. Calculate the remainder when o is divided by 18.
16
Let r be (-4)/(-3)*6/4. Suppose 6*g - 196 = -3*m + 2*g, r*g - 130 = -2*m. What is the remainder when m is divided by 22?
20
Suppose 2*j - 4*c = 3*j - 11, -4*j + 4*c = -124. Calculate the remainder when j is divided by 13 - (-2 - (-2)/2).
13
Let n(r) = -4*r**3 + r**2. What is the remainder when n(-1) is divided by 1?
0
Suppose -i + m = -10, -5 = 3*m + 4. Suppose 10*q + 4 = 12*q. Calculate the remainder when i is divided by q.
1
Suppose -11*g + 61 + 93 = 0. What is the remainder when 53 is divided by g?
11
What is the remainder when 65 is divided by (468/(-65))/(2/(-5))?
11
Let p = 74 + 39. Suppose -69 - p = -2*o - u, 4*u = 4*o - 388. What is the remainder when o is divided by 24?
21
Calculate the remainder when 75 is divided by -3*58/(-6) - 3.
23
Suppose 0*u - 56 = -4*u. Suppose u + 1 = 5*j. What is the remainder when j is divided by (-9)/(-6) + 2/(-4)?
0
Suppose c - 14 = 8. What is the remainder when c is divided by ((-16)/10)/((-14)/105)?
10
Let m be (-1)/2*0 - -2. Suppose n = -m + 16. Suppose 5*t = 4*a + 212, 3*t - t - 86 = 2*a. What is the remainder when t is divided by n?
12
Let v = 116 + -70. What is the remainder when v is divided by 16?
14
Let s(u) = u**3 + 7*u**2 - 9*u + 6. Let z(x) = -x + 2. Let n be z(0). Suppose q + 6 = -n. Calculate the remainder when 27 is divided by s(q).
13
Let m be (2 - (-1 - -3)) + 2. Suppose -2*l + 38 = 2*i, 3*l + 9 - 65 = -m*i. Suppose -q = -4 - 6. What is the remainder when l is divided by q?
8
What is the remainder when ((27/(-2))/3)/(23/(-322)) is divided by 11?
8
Let l(r) = 5*r**2 + 6*r - 1. Suppose -4*h + 12 = 4*n, -19 = 4*n - 4*h - 63. What is the remainder when l(-3) is divided by n?
5
Suppose -o = -0*o - 4*b - 44, 5*b - 49 = -2*o. What is the remainder when o is divided by 21?
11
Suppose 4*x + 64 - 192 = 0. Suppose -2*v = 4*t - 9 - 9, 3*v + t = 47. What is the remainder when x is divided by v?
15
What is the remainder when 4/(-10) + 2133/45 is divided by 17?
13
Let l(r) = 3*r**2 + 2*r - 2. Let g be 39/(-12) + (-1)/(-4). What is the remainder when l(g) is divided by (-14)/(-2)*(-2 + 3)?
5
Suppose 0 = g - 0*g - 9. Let w(m) = m**3 - 8*m**2 + 3*m + 10. What is the remainder when w(g) is divided by 40?
38
Let l(q) = -q**3 - 5*q**2 - 7*q - 4. Let w be l(-4). Suppose 4*f - w = 2*f. What is the remainder when 35 is divided by f/(-10) - 434/(-35)?
11
Let c(f) = f**2 - 7*f + 1. Let t(k) = -k**2 + 5*k - 1. Let l(x) = -5*c(x) - 8*t(x). Let g = -9 - -17. What is the remainder when l(3) is divided by g?
7
Let f(h) = 5 - 3*h**2 + 2*h**2 + 5. Let n(i) = 3*i + 2. Calculate the remainder when n(5) is divided by f(0).
7
Let n be (5 - 4) + -1 + 3. Suppose -n*j - 4*m = -111, -m + 3*m = 0. What is the remainder when j is divided by 13?
11
Let o(r) = -r**3 - 4*r**2 + 13*r + 31. Calculate the remainder when o(-7) is divided by (-200)/(-9) - (-2)/(-9).
21
Let q(b) = b**3 + 10*b**2 + 8*b + 10. Calculate the remainder when q(-9) is divided by 10.
9
Suppose j + 13 = 5*j + 3*l, -2*j = 4*l - 4. Suppose 7*x - 2*x - 151 = -3*p, j*p = x + 163. Calculate the remainder when p is divided by 15.
12
Suppose 0 = j - 0 - 15. Suppose j = -2*k + 7*k. Suppose -27 = -3*t + 4*y, -2*t - k*y - 19 = -4*t. What is the remainder when t is divided by 2?
1
Let f = 66 + -54. Calculate the remainder when 44 is divided by f.
8
Let n(v) be the first derivative of v**2 + 6*v - 3. Suppose 2