 when 32 is divided by p?
2
Suppose -2*z - 2*d + 4 = 0, 2*z - 4 = -d + 1. Suppose 0 = 35*h - 30*h - 15. What is the remainder when h is divided by z?
0
Suppose 3*k - 32 - 16 = 3*g, 4*g + 52 = 3*k. Suppose k + 4 = z. Suppose -22 - z = -2*n. What is the remainder when 36 is divided by n?
17
Let c = -13 + 23. Suppose -2*q = -7*q + 25. Suppose -q*b + 50 = c. Calculate the remainder when b is divided by 3.
2
Suppose 3*x - 10 - 2 = 0. Suppose -x*z = 21 - 81. Calculate the remainder when 44 is divided by z.
14
Let g = 7 - 2. What is the remainder when g is divided by 6 + -3 + -5 + 4?
1
Suppose 3*p = p + t + 78, -2*p + 3*t + 78 = 0. Let w be 1 + ((-5)/1 - -1). Calculate the remainder when p is divided by (-20)/w*3/2.
9
Suppose -d = -0*v - 3*v - 13, 2*v - 4*d + 12 = 0. Calculate the remainder when 58 is divided by ((-12)/v + -33)/(-2).
13
What is the remainder when (-6972)/(-132) - 2/(-11) is divided by 14?
11
Let j(v) be the second derivative of -1/3*v**3 - v**2 - 1/20*v**5 + 0*v**4 + 2*v + 0. What is the remainder when j(-2) is divided by 4?
2
Let o be (1 - 5)*(-4)/(-8). Let q = o - -2. Suppose 3*v - 5*v + 18 = q. What is the remainder when v is divided by 6?
3
Suppose 4*l = -l + 15. Calculate the remainder when l is divided by 2.
1
Let v = 3 + 0. Suppose 0 = v*q + 3 - 12. Suppose -55 = -46*u + 41*u. What is the remainder when u is divided by q?
2
Let i be 3/(-12) + (-51)/(-12). Suppose 4*h = 5*j + 13, 0 = h + i*j + j + 3. What is the remainder when (-399)/(-77) + 2/(-11) is divided by h?
1
Suppose -16*c + 134 + 106 = 0. What is the remainder when c is divided by 4?
3
Let f = -4 + 4. Suppose -5*a + 47 + 118 = f. Suppose -3*d + 36 = -2*g, -4*d + 0*g - g = -48. Calculate the remainder when a is divided by d.
9
Suppose 3*y - 6 = 3*d, d + 10 = y + 4*d. Let k = -170 - -188. What is the remainder when 30/y*(-28)/(-6) is divided by k?
17
Let i = 19 + -17. Suppose a - 4*a = -12. What is the remainder when a/(-3)*6/(-2) is divided by i?
0
Let a(j) = j**2 + j + 11. Suppose z = 5*x - 4, -31 = -5*z - 5*x + 9. What is the remainder when a(0) is divided by (-5 + z)/((-2)/(-12))?
5
Suppose -5*h = -h - 36. What is the remainder when 24 is divided by h?
6
Let y(s) = -s**2 + 15. Let v be y(0). Let l = -8 + v. What is the remainder when 20 is divided by l?
6
Suppose -w - 182 = -3*o, -o + w + 64 = -0*w. Calculate the remainder when 410 is divided by o.
56
Let y = -163 - -224. Calculate the remainder when y is divided by 7.
5
Suppose 0 = -2*r - 3 - 3. Let w(p) = -4*p - 4. Let c(x) = -x + 37. Calculate the remainder when c(15) is divided by w(r).
6
Suppose -m = -4*m + 81. Calculate the remainder when m is divided by 15.
12
Let m = -4 - -17. Calculate the remainder when m is divided by 11.
2
Let y(l) = -l**2 - 14*l - 3. Suppose -i - i + 2*m = -158, -10 = -5*m. Calculate the remainder when i is divided by y(-12).
18
Suppose -24 = -w - 2*w. Suppose -5*l + 54 = -56. What is the remainder when l is divided by w?
6
Let u be (-3 + 1)/((-6)/9). Suppose -u*n + n = -38. Calculate the remainder when n is divided by 11.
8
Let d(x) = -x**3 - x**2 - 7*x - 4. What is the remainder when d(-4) is divided by 25?
22
Suppose 2*k + 5*t = -0 + 1, k = -3*t - 2. Calculate the remainder when k is divided by 7.
6
Let n = 133 + -82. Calculate the remainder when n is divided by 13.
12
Suppose 5*d - d = 36. Calculate the remainder when 34 is divided by d.
7
Let v be 7/14*(16 + 0). Let r = -34 - -50. Let c = r - v. Calculate the remainder when 14 is divided by c.
6
Let z = -30 - -36. What is the remainder when z is divided by 4?
2
Suppose c - 55 = -4*c. Suppose -5*v + 117 = 5*g - 113, 4*v - 20 = 0. What is the remainder when g is divided by c?
8
Suppose 2*q = 7 + 11. Calculate the remainder when 4/10 + (-256)/(-10) is divided by q.
8
Suppose -3*q = -52 - 17. Calculate the remainder when q is divided by 13.
10
Calculate the remainder when (-63)/(((-15)/20)/(3/6)) is divided by 9.
6
Suppose -3*h = -h - 56. Let z = h - 17. Let n = 61 - 31. What is the remainder when n is divided by z?
8
Let d = -9 - -27. Let u = d + -5. Calculate the remainder when 24 is divided by u.
11
Suppose 3 = 4*i - 1. Let t be 3/((-3)/(-2)) - 0. Let u = t + i. Calculate the remainder when 5 is divided by u.
2
Let d(a) = -a**2 - 8*a. Suppose 2*p = -2*p - 20. Calculate the remainder when 29 is divided by d(p).
14
Let o be (-45)/(-4)*8/2. Suppose -3*d + 11 + 37 = 0. What is the remainder when 5 - 4 - o/(-1) is divided by d?
14
Suppose 0 = 4*c + 1 - 37. Calculate the remainder when 33 is divided by c.
6
Suppose 6 = 5*f - 2*f. Let q(s) = 4*s**2 + 2*s - 2. Calculate the remainder when q(f) is divided by 10.
8
Let a = 10 - 17. Let o = -8 - a. What is the remainder when 23 is divided by 9 + (o - 2 - -2)?
7
Let r(u) = -2*u + 3. What is the remainder when 35 is divided by r(-3)?
8
Let d(n) = n**3 + 3*n**2 - 4. Suppose 85 = 5*w - 5*h, -3*w + 70 = h + 19. Calculate the remainder when d(3) is divided by w.
16
Let i(m) = m**2 + 20*m - 12. What is the remainder when i(-23) is divided by 15?
12
Let v = 67 + -59. Calculate the remainder when 93 is divided by v.
5
Suppose -2*v = v - 66. Let k(l) = -l**2 + 9*l - 5. Let r be k(4). Suppose -g + x + 175 = g, -3*x - r = 0. Calculate the remainder when g is divided by v.
19
Let s(o) = -7*o - 4. Let q be s(-4). Let l = 37 - q. Suppose 5*k - 43 = 4*a, 2*k - 4*a - 22 = -0*a. Calculate the remainder when l is divided by k.
6
Let f(r) = r**2 + 7*r - 6. Let c be f(-7). Let w be (18/4)/(c/(-8)). Suppose -2*v = -5*a - 43, -w*a = -v - a + 24. What is the remainder when v is divided by 7?
5
Let n(i) = i**2 + 4*i + 2. What is the remainder when (-1 - -1) + 13 - 1 is divided by n(-5)?
5
Suppose 3*s + 0*k - 185 = 2*k, -3*k = -3*s + 189. What is the remainder when s is divided by 20?
19
Let p = -40 - -60. Suppose -3*j - j = -48. What is the remainder when p is divided by (j - (3 - 2))*1?
9
Suppose -m = -y + 87, 5*y - 417 = -3*m - m. Let w = y - 27. What is the remainder when w is divided by 12?
10
Suppose 5*t = j + 99, 4*j = 5*t + 2*j - 103. Let c(v) = v**3 + 5*v**2 - v + 5. Suppose -5 = 3*f - 2*f. What is the remainder when t is divided by c(f)?
9
Let c be (-1)/(-3) - (-2)/(-6). Calculate the remainder when (-1 - c)*41*-1 is divided by 14.
13
Let q(f) = -9*f + 1. Let s be 0 + 1 - (-7 + -19). Suppose -2*k - 2*a = -3*k + 23, 0 = -4*k - 5*a + s. Calculate the remainder when q(-4) is divided by k.
11
Suppose c = 3*d - 7 - 6, 0 = 5*c - 10. Suppose -6*r - 3*n = -2*r - 60, 2*n + 75 = d*r. What is the remainder when r is divided by (-2)/9 - 74/(-9)?
7
Suppose -5*o + 24 = v, 4*v = 3*v + 5*o + 24. Suppose 4*p = -4 + v. What is the remainder when 14 is divided by p?
4
Let s = -25 + 45. Suppose -50 = -5*i + s. Calculate the remainder when 52 is divided by i.
10
Suppose 3 = 2*r - 1. Suppose 0*o + 5*o - 5 = -5*p, 3*o - 3*p - 9 = 0. Calculate the remainder when r is divided by o.
0
Suppose 8 = 4*q, w - q = 4 + 2. Suppose 3*f = w*f - 20. Suppose -36*r + 77 = -29*r. Calculate the remainder when r is divided by f.
3
Let c(y) = 2*y**2 - y + 2. Suppose -2*b + d + 17 = 6, -3*d = -2*b + 13. What is the remainder when c(b) is divided by 16?
15
Suppose 0 = -2*a + y - 2*y + 1, 3 = -4*a - 3*y. Calculate the remainder when 9 is divided by a.
0
Suppose 0 = 6*q - 2*q - 124. Let s(c) = 4*c + 3 + 3 + 6*c**2 + c**3 + 0. What is the remainder when q is divided by s(-5)?
9
Let n(l) = l**2 - 7*l + 8. Let d be n(6). Suppose -6*s = -d*s + 5*k - 88, 0 = -3*s - 5*k + 66. What is the remainder when (-11 - 2)*15/(-3) is divided by s?
21
Let k = 15 + -3. What is the remainder when 57 is divided by k?
9
Let w = 77 - 23. Suppose 3*r - w = 15. Calculate the remainder when r is divided by 8.
7
Let f(c) = c - 4*c + c**2 - 6 + 0*c. Let a be f(5). Suppose 0 = 3*z + a*i - 40, 5*z - 24 - 41 = -5*i. What is the remainder when 22 is divided by z?
10
Suppose 0 = -i + 4. Calculate the remainder when i is divided by (-9)/2*4/(-6).
1
Let y(j) = 2*j**3 + 2*j**2 - j. Let r be y(-2). Suppose 12 = 3*q - 27. What is the remainder when r/15*-3*30 is divided by q?
10
Let o(y) = -y**2 - 12*y + 2. Let k be o(-12). Suppose -k*a + 0*a = -30. What is the remainder when 29 is divided by a?
14
Let w = -52 - -70. What is the remainder when w is divided by 7?
4
Suppose 229 = 5*d + 54