se -p - 4 = -2*p. What is the remainder when p is divided by i?
1
Suppose 0 = k + 5*i + 18, i + 4 = -0. Suppose 0 = 2*h + 2*q - 24, -4*q + 9 = -q. Let m = 12 - h. Calculate the remainder when m is divided by k.
1
Let u(j) = 4*j + 1. Let v be u(1). Suppose -15 - 80 = -v*o. Calculate the remainder when o is divided by 5.
4
Let s be 5*((-297)/15)/(-1). Suppose -2*t + 32 = -5*b, 3*b - 6*b - s = -5*t. Calculate the remainder when t is divided by 12.
9
Let c(n) = 83*n**3 - n + 1. Calculate the remainder when c(1) is divided by 21.
20
Suppose 7*v - 275 = 2*v. Suppose -44 = -g + 5*k, -5*g - 3*k = -v - 109. What is the remainder when g is divided by 18?
16
Let q(h) = 18*h - 15. Calculate the remainder when q(6) is divided by 16.
13
Let k = -16 + 48. Calculate the remainder when k is divided by 9.
5
Let k(o) = o**2 + 2*o + 1. Let u be k(-3). Suppose 84 = 3*c + 30. Suppose 0 = 2*z - u*p - c, 2*z - z = 3*p + 4. What is the remainder when z is divided by 10?
9
Suppose -4 = 3*m - 34. Calculate the remainder when m is divided by 6.
4
Let l(a) = 2*a + 1. Suppose 0 = 5*x - x. Suppose 0 = -x*n - n + 19. What is the remainder when n is divided by l(3)?
5
Suppose 0*r = -2*b - 4*r + 22, -65 = -4*b - r. Suppose -3*l - b = -4*d, 0*d = -d + 4*l + 14. Let i = -63 - -66. Calculate the remainder when i is divided by d.
1
Calculate the remainder when (0 - -2) + 3 - -55 is divided by 22.
16
Let k = -39 - -58. Suppose 5*z + 0*z - 35 = 0. What is the remainder when k is divided by z?
5
Suppose -12 = -4*a + 28. What is the remainder when 19 is divided by a?
9
Suppose 522 = 2*q - 0*q. Suppose -6*m + q = -3*m. What is the remainder when m is divided by 30?
27
Let d(j) = -j**3 + 5*j**2 + 2*j. Let o(y) = -2*y**2 - 4*y**3 + 3*y**3 + 3 + 3*y - 2*y**2 + 0*y**3. Calculate the remainder when d(4) is divided by o(-5).
11
Let o be 4/3*(-3)/(-2). Suppose o*u - 12 + 32 = 0. What is the remainder when 184/5 + (-2)/u is divided by 13?
11
Let o(g) = 9*g - 3. Let p be o(2). Suppose -36 = -5*q + 139. Calculate the remainder when q is divided by (-3)/((p/18)/(-5)).
17
Let n be (-2 - -2)/(-5 - -3). Suppose -t + 25 = -n*t. Calculate the remainder when t is divided by (-3)/(-3)*(-2 + 11).
7
Let v = 0 - 2. Calculate the remainder when 50 is divided by v/(-8) + 67/4.
16
Let t be 4/(-8) - 11/(-2). Suppose w = -3*n + 3, w - 2*n = -3*n + t. Calculate the remainder when 17 is divided by w.
5
Let n(w) = w**3 + 8*w**2 - 6*w + 4. Let x be n(-8). Suppose -x - 8 = -f. Suppose -f = 2*i - 7*i. What is the remainder when 22 is divided by i?
10
Suppose 4*j + 112 = 5*b - 134, 0 = -5*b - 4*j + 254. What is the remainder when b is divided by 13?
11
Let l = -2 - -25. Suppose -j = -6*j + 130. Let r = j - 14. Calculate the remainder when l is divided by r.
11
Let h = 12 + -1. Suppose 91 = 5*s - 14. Calculate the remainder when s is divided by h.
10
Suppose 0 = 4*d - 5*v - 641, 0*d - 4*v = -2*d + 322. Calculate the remainder when d is divided by 20.
19
Let i(c) = c**3 + 15*c**2 - 4*c - 19. Let s(u) = u**3 - u**2 + u. What is the remainder when i(-15) is divided by s(3)?
20
Let w(p) = p**3 - 4*p**2 - 3*p - 7. Suppose 2*z - 3 - 7 = 0. Calculate the remainder when 3 is divided by w(z).
0
Suppose 3*l = -o + 20, -3*o + o = 2*l - 24. What is the remainder when o is divided by 6?
2
Let t(v) be the third derivative of v**6/120 + v**5/30 - v**4/8 - v**3/3 - v**2. Let n be t(-3). What is the remainder when 8 is divided by -1 + 5 - n/2?
3
Suppose f + 4*f - 13 = 3*r, 2*r = -2. Suppose 4*h + 5*d = 3, f*h - 3*d = h + 5. Let u = 18 - 13. What is the remainder when u is divided by h?
1
Let d = 2 - -1. What is the remainder when -5 + 17 + 1*-3 is divided by d?
0
Suppose -12 = -3*o - 0*o. What is the remainder when o/(-24)*2*-387 is divided by 33?
30
Suppose -4*c = -2*m + 30, -m - 6 = 5*c + 14. Let d(f) = f**3 - 4*f**2 + 5. Suppose -2*a + 24 = -8. Calculate the remainder when d(m) is divided by a.
14
Suppose 10*x - 375 = 5. Let k(l) = l**3 - 5*l**2 + 3*l - 2. Let n(z) = -z**2 - 7*z - 5. Let q be n(-5). Calculate the remainder when x is divided by k(q).
12
Suppose 3*a = -g + 6*a - 4, 2*a = -3*g - 12. Let b = g - -8. Suppose 3*d + 0*d + z - 17 = 0, -3*d + 2*z = -20. Calculate the remainder when d is divided by b.
2
Suppose -3*s + 25 = v, -2*s - 2*v + 27 = 5. Let l(b) = -2*b**3 - b**2 + 8*b - 2. What is the remainder when l(-3) is divided by s?
5
Let l = -12 - -23. Calculate the remainder when l is divided by 22/5 + 14/(-35).
3
Suppose 5*l - 2*t - 15 = 0, 3*t = 4*t + 5. What is the remainder when 7/(-2)*(l + -11) is divided by 6/4*(-1 - -7)?
8
Let o = 4 - 12. Let y = 4 - o. Calculate the remainder when 22 is divided by y.
10
Suppose 173 = 4*l + 33. Calculate the remainder when l is divided by 13.
9
What is the remainder when 123 is divided by 29 - (324/(-90) + 2/(-5))?
24
Let y be 6/(-10) - 141/15. Let f = -16 - y. Calculate the remainder when 4 is divided by (-3)/f*(-12)/(-2).
1
Suppose 4*p - 155 = -51. Suppose 4*y - 2*y - s = 147, -5*s = 2*y - 165. What is the remainder when y is divided by p?
23
Suppose 15*b - 85 = 35. Let s = 5 + -1. Suppose 68 = 4*k - 4*a, 0*k + 42 = k + s*a. What is the remainder when k is divided by b?
6
Suppose -3*w + 3*g = -6, 0*g = 5*g + 5. Calculate the remainder when w is divided by 1.
0
Suppose -3*f + 97 = 76. Calculate the remainder when 13 is divided by f.
6
Let d be (-6)/((-3*2)/3). Suppose v + 71 = 2*u - 49, 178 = d*u - 2*v. Let q(c) = 3*c**2 - 2*c. What is the remainder when u is divided by q(-2)?
14
Let w = -21 + 51. Suppose -4*t = 3*n - 58, 6*t - 3*t - 56 = 4*n. Calculate the remainder when w is divided by t.
14
Let o be -5*(0 + 0 - 3). Let c = o + -9. Calculate the remainder when 17 is divided by c.
5
Let t = 12 - 10. Suppose -t*w = 8, -5*p - 3*w + 30 = -43. Calculate the remainder when 66 is divided by p.
15
Let x = -16 + 43. Calculate the remainder when x is divided by 5.
2
Suppose -26 = -4*y + 3*j - 5, 5 = 5*j. What is the remainder when 112 is divided by y?
4
Let x = 241 + -169. What is the remainder when x is divided by 25?
22
Let c be (-16)/10*-1*30. Let t(g) = -g + 7. Let w be t(5). Suppose 4*f - 2*f = -u + c, w*f - 128 = -3*u. Calculate the remainder when u is divided by 14.
12
Let p(w) = -31*w**3. Let g be p(1). Let v = -26 - g. What is the remainder when v is divided by 4?
1
Suppose 4*p = 5*y - 94, 0 = y + 3*p - 3 - 12. Calculate the remainder when 71 is divided by y.
17
Suppose 5*o - 59 + 14 = 0. Let d(q) = -q**3 + 8*q**2 + 10*q + 6. Calculate the remainder when d(9) is divided by o.
6
Let u(m) = -m**3 - 8*m**2 + 8*m - 6. Let s be u(-9). Suppose -j + 21 = s*n, -3*j = -0*n + 4*n - 53. What is the remainder when j is divided by 8?
7
Let x(y) = 1 + 3*y**3 - 2*y**3 - 5*y**3. Let c be x(-1). Suppose -k - 2*k + n + 37 = 0, 90 = c*k + 4*n. Calculate the remainder when 27 is divided by k.
13
Suppose -4*k + 33 = 3*p + k, -3*k + 9 = 0. What is the remainder when 9 is divided by p?
3
Suppose 0 = 2*k - 5*q, 0 = 2*k - 3*k - 2*q. Suppose 0 = -k*t + t - 8. What is the remainder when (1 - 0)*(-15)/(-1) is divided by t?
7
Suppose 3*s + 5*z + 11 = 0, 5*s - 5*z - 40 + 5 = 0. Let l(a) = -a - 2. Calculate the remainder when l(-7) is divided by s.
2
Suppose -65 = -5*l + 495. Calculate the remainder when l is divided by 23.
20
Suppose 9 = -3*x, -s + 6 + 20 = -x. What is the remainder when s is divided by 8?
7
Let w(t) = 3*t - 15. Let s be w(7). Suppose -2*f - 324 = -s*f. Calculate the remainder when f is divided by 21.
18
Let c be 7 + -5 + 3 + -1. Suppose 2*r - r = c*l + 24, 3*l + 22 = r. What is the remainder when r is divided by 9?
7
Let a = 7 + -7. What is the remainder when (-3 + a)/((-21)/133) is divided by 10?
9
Suppose -y - 5*c + 22 = 0, 0*y - 5*y + 4*c - 6 = 0. Let p = 7 - y. What is the remainder when 2/(-1 + 3) - -7 is divided by p?
3
Let d = 1 - -4. Suppose -2*t + d*t = i + 46, -t = -i - 16. What is the remainder when t is divided by (1 - 3)/(5/(-15))?
3
Suppose 3*y - 13 = 38. Calculate the remainder when y is divided by 6.
5
Calculate the remainder when (-64)/6*(-6)/4 is divided by 6.
4
Let s = 41 - 32. Calculate the remainder when 35 is divided by s.
8
Let y = -44 + 62. Suppose -2 = 2*z, w + 0*w - 4 = -z. What is the remainder when y is divided by w?
3
Suppose -2*h + 44 = -72. What is the remain