divided by a.
2
Suppose -4*p + 2*k + 10 = 0, k - 4*k - 15 = -2*p. Suppose p = r - 5*r + 4. Let f = r - -4. What is the remainder when f is divided by 3?
2
Suppose 3*r = r + 44. Calculate the remainder when 32 is divided by r.
10
Let s(t) = 13*t + 3. Suppose -6 + 3 = -z. Let f be s(z). Let w = f - 15. Calculate the remainder when w is divided by 10.
7
Suppose -2*g = -6*h + h + 77, -89 = -5*h - g. Suppose 0*f + f - 2*s = 69, -4*f - 5*s + 250 = 0. What is the remainder when f is divided by h?
14
What is the remainder when (52/14 - (-2)/7) + 32 is divided by 10?
6
Suppose 2*v + 335 = 7*v. Calculate the remainder when v is divided by 17.
16
Let w(s) = -3*s**3 - 2*s**2 - 1. Let g be w(-2). Suppose 0*u = -u + g. Let b(y) = -y**3 + 6*y**2 - 6*y. Calculate the remainder when u is divided by b(4).
7
Let k(p) = 2*p**3 + p**2 + 2*p + 1. Let m be k(-2). Suppose 2*y + 6*n = 2*n + 38, 67 = 3*y - 4*n. Let v = m + y. What is the remainder when 17 is divided by v?
5
Let h(k) = 15*k**2 + k. What is the remainder when 63 is divided by h(1)?
15
Let a(g) be the third derivative of -g**4/12 - 7*g**3/6 + 7*g**2. Calculate the remainder when 12 is divided by a(-5).
0
Suppose -5*k - 44 = -k. Let i = k - -19. Let f(q) = q**2 - 18*q + 32. Calculate the remainder when f(17) is divided by i.
7
Let i(q) be the second derivative of 0 + 2*q - 2*q**2 - 1/6*q**3 + 1/12*q**4. Calculate the remainder when 31 is divided by i(-4).
15
Let s be (10/4)/((-4)/(-8)). Suppose 0*y + 4*f + 37 = 3*y, -s*y = 5*f - 85. What is the remainder when y is divided by 8?
7
Suppose -23 = -k + 2*h, 4*k - k - 59 = h. Let c = 75 + -39. Calculate the remainder when c is divided by k.
17
Suppose -2 - 2 = n. Let x(f) = f**2 + 2*f - 8. Let t be x(-4). What is the remainder when 43 is divided by -4 - n - (-15 + t)?
13
Suppose -2*a = a - 63. Let i(l) = -9*l. What is the remainder when i(-9) is divided by a?
18
Suppose f = -0*f + 30. Let t = f + -14. Let i = t - 7. Calculate the remainder when 25 is divided by i.
7
Let k(q) = 5*q + 11. Suppose 4*c - 2*c - 16 = 0. Let z be k(c). Suppose 4*x = x + z. Calculate the remainder when 66 is divided by x.
15
Let s be (-5 - -1) + 2 - 2. Calculate the remainder when (2/s)/(2/(-96)) is divided by 13.
11
Suppose 125 = 5*t - 5*f, 0 = -2*f - 12 + 2. What is the remainder when 39 is divided by t?
19
Let q(l) = l**3 + 11*l**2 + 12*l + 3. What is the remainder when q(-9) is divided by 12?
9
What is the remainder when (1 - -1)/2 - -6*3 is divided by 4?
3
Suppose -4*p + 2*l + 12 = 0, -2*l = -p - 0*l. Suppose 0 = -3*o + 3, p*i + 2*o = -2*o + 68. Calculate the remainder when i is divided by 9.
7
Let x = -39 - -40. What is the remainder when 1 is divided by x?
0
Let f(l) = l**3 - l + 12. What is the remainder when f(0) is divided by 7?
5
Let s = 14 - -23. What is the remainder when 73 is divided by s?
36
Let x(g) = 4*g**3 - 3*g**3 - 3 + 2*g - 5*g**2 - g. Let w(c) = 5*c - 5. Let a be w(2). Calculate the remainder when 5 is divided by x(a).
1
Let j be (0 - (-2)/1)/(-2). Let m = -5 + 14. What is the remainder when m is divided by (j + 13)*1/2?
3
Let n = 9 - 5. Let b = n - 1. What is the remainder when b is divided by 1?
0
Suppose 0 = 4*t - 125 + 37. Let b = 32 + -20. What is the remainder when t is divided by b?
10
Suppose 3*r - 14 = -134. Let l = r + 93. Let a = -16 - -34. What is the remainder when l is divided by a?
17
Let p be (-831)/(-15) - (-4)/(-10). Suppose 0*m = -5*m + p. Suppose 2*j + a - 14 = -a, 5*a - m = -2*j. What is the remainder when 30 is divided by j?
6
Suppose 5*u - 177 + 47 = 0. Let p(t) = t**3 + 4*t**2 - 4*t - 2. Calculate the remainder when u is divided by p(-4).
12
Suppose 1 = -t + 3. Suppose 7*q = 4*q + t*m + 3, -5*m = -q - 12. Let r = 10 + q. Calculate the remainder when 25 is divided by r.
12
Suppose z + 2 = 3*z. Suppose -4*l = -52 + 4. What is the remainder when z/(-2)*-46*1 is divided by l?
11
Suppose 12*v - 45 = 7*v. Suppose -v = 3*d, 2*l - 3*d + 95 = 4*l. Suppose -25 = -2*c + 11. What is the remainder when l is divided by c?
16
Let x(y) = y**3 - 8*y**2 - 6*y + 15. Calculate the remainder when 81 is divided by x(9).
39
Suppose 3*m - 24 = 7*m. Let z(b) = -b. Calculate the remainder when z(m) is divided by 3.
0
Suppose 3*i = -2*i + 125. What is the remainder when 70 is divided by 2/(3 - 5) + i?
22
Let d(l) = 4*l**3 - 4*l**2 + 5*l - 2. Calculate the remainder when 46 is divided by d(2).
22
Let k = 1 + 3. Suppose -4*y = 2*u - 72, -4*u - k*y + 79 = -9*y. Suppose -v = h - 16, 2*h - 5*v - 46 = -2*h. What is the remainder when u is divided by h?
12
Let b = 66 - 93. What is the remainder when 27 is divided by (-31)/(-3) + 9/b?
7
Suppose 0*l - i - 86 = -3*l, -4*l = i - 117. Calculate the remainder when l is divided by 12.
5
Suppose 0 = -3*w - d + 30, -3*w = 2*w + d - 48. What is the remainder when 44 is divided by w?
8
Suppose 0 = -2*k + z + 16, 0 = 2*k + 5*z - 36 - 4. Calculate the remainder when 38 is divided by k.
8
Suppose 6*j - 25 = -5*o + 3*j, 28 = 4*o + 4*j. Suppose 0 = 3*h + o*h - 140. Let u = 56 - h. Calculate the remainder when u is divided by 15.
13
What is the remainder when 13 is divided by 5 - (0 - -3) - -3?
3
Let r = 262 - 146. What is the remainder when r is divided by 15?
11
Suppose 6 = 3*p - 3. Calculate the remainder when (21/(-6))/(3/(-6)) is divided by p.
1
Suppose -5*s - 2 = 4*u - 70, -u = -s + 19. Let n(w) = w + 2. Let r(q) = -q**2 - 10*q - 2. Let j be r(-9). Calculate the remainder when s is divided by n(j).
7
Suppose -z - 1 + 3 = 0. Suppose 5*h = z*h + 15. Suppose -7 - h = -2*q. What is the remainder when 11 is divided by q?
5
Let u = -55 - -67. What is the remainder when 155 is divided by u?
11
Let h = 28 + -19. Let d be h/(-2) + (-1)/(-2). What is the remainder when 62 is divided by d/(-1)*(1 + 3)?
14
Let i be 10/4 - (-3)/(-6). Suppose 8 + 18 = i*h. What is the remainder when 24 is divided by h?
11
Let c(z) = 47*z + 1. Let f(w) = 1. Let g(o) = c(o) - 2*f(o). Let m be 36/28 - 2/7. What is the remainder when g(m) is divided by 16?
14
Suppose 0 = -9*s + s + 136. What is the remainder when 32 is divided by s?
15
Suppose -2*s + 13 = -3*p + 118, s = 4*p - 145. What is the remainder when p is divided by 13?
11
Suppose -5*c - 7 = -2*y + 11, -12 = 3*c. Let z = 15 + -8. Calculate the remainder when (y*26)/(-2 + 0) is divided by z.
6
Let o(r) = -2*r + 2. Calculate the remainder when o(-2) is divided by 3.
0
Suppose 0 = s - 5*l - 26, 5*s + 0*s + 5*l - 100 = 0. Suppose -1 = h - s. Calculate the remainder when 38 is divided by h.
18
Let o(l) = 8*l**3 - l**2 + 1. Let n = -14 - -17. Calculate the remainder when o(1) is divided by n.
2
Let d = 70 - 57. Calculate the remainder when d is divided by 8.
5
Let n = -34 - -67. What is the remainder when n is divided by 51/(-2)*(-18)/27?
16
Let w = -11 + 40. Suppose d - 10 - w = -2*k, 0 = 5*d + k - 159. What is the remainder when d is divided by 11?
9
Suppose 0 = 5*v - 0*v + 2*l - 170, v - 3*l = 34. What is the remainder when v is divided by 9?
7
Let q(m) be the first derivative of m**4/4 + 2*m**3 - 5*m**2/2 - 9*m - 2. Calculate the remainder when 41 is divided by q(-6).
20
Let z = 551 + -313. Calculate the remainder when z is divided by 30.
28
Suppose -6 = -3*p + 12. Suppose -u + p + 0 = 0. What is the remainder when 17 is divided by u?
5
What is the remainder when 12/(-10)*(-180)/27 is divided by (3/9)/((-1)/(-15))?
3
Suppose 4*c = -4*t + 116, -2*t = 3*c - 6*c + 62. Let x be 5/(12/(-15) - -1). Let u = x - 12. Calculate the remainder when c is divided by u.
11
Suppose 4*w - 5*w + 3 = 0. Let z = w + -3. Suppose z*g + g - 15 = 0. Calculate the remainder when 44 is divided by g.
14
Suppose -v + 3*x = -99, v = -x + 3*x + 102. Calculate the remainder when v is divided by 37.
34
What is the remainder when 49 is divided by (8/(-16))/(2/(-100)) + -4?
7
Calculate the remainder when 67 is divided by (-4 - (-30)/8)*-92.
21
Suppose -3*w = w - 28. Let m be ((-6)/(-3))/(-1) - 17. Let c = -6 - m. What is the remainder when c is divided by w?
6
Let w be ((-8)/6)/(20/(-30)). Suppose w*x - 12 = 40. Calculate the remainder when x is divided by 7.
5
Suppose -z + 4 - 2 = 0. Suppose 4*k = 5*f + 31, -10 = -2*k - z*k - 2*f. Suppose a = k*a - 24. What is the remainder when a is divided by 3?
2
Suppose -115 - 161 = -4*r - v, 0 = 5*r -