e the remainder when b is divided by f.
21
Let x be (-3)/1 + (-5 - -11). Suppose 0 = -x*b + 19 + 2. What is the remainder when 19 is divided by b?
5
Let t(k) = k**3 + 6*k**2 - 8*k + 4. Suppose -1 = -u - 4*d + 16, 110 = 5*u - 5*d. What is the remainder when u is divided by t(-7)?
10
Let a(z) be the first derivative of z**4/4 - 3*z**3 + z**2/2 + z + 2. Calculate the remainder when 19 is divided by a(9).
9
Let r(i) = i**2 + 4*i. Let y be r(-2). Let l = 8 + y. Let m(u) = 2*u**3 + 28*u**2 - u - 9. Calculate the remainder when m(-14) is divided by l.
1
Let k be 2 + 21/3*-2. Let p = 17 + k. What is the remainder when p is divided by 2?
1
Suppose g - 4 + 2 = 0. Suppose -u + g*u = -5*r + 9, 67 = 5*u + 3*r. Let n = -5 + u. What is the remainder when 25 is divided by n?
7
Suppose 4*o - 27 = -z, z - 6*z + 71 = 4*o. Calculate the remainder when 41 is divided by z.
8
Let w(p) = 3*p - 7. Suppose -2*k + 8 + 6 = 0. Calculate the remainder when 25 is divided by w(k).
11
Let g = -5 - -18. Let j = -16 - -40. What is the remainder when j is divided by g?
11
What is the remainder when (-1144)/(-10) - (-38)/(-95) is divided by 29?
27
Suppose d - 14 = -3*f, 40 = 2*d + 3*d + 5*f. Suppose -p - 2*p + 35 = d*g, -4*p = -5*g. Suppose 21 = g*n - 3. Calculate the remainder when 11 is divided by n.
5
Suppose -8 + 22 = y. Suppose 195 = 5*v - 5*o, -o + 0 = -2. What is the remainder when v is divided by y?
13
Let s = 22 - -41. Calculate the remainder when s is divided by 16.
15
Suppose 4*b = 0, -4*q - 5*b + 20 = -120. Calculate the remainder when q is divided by 13.
9
Let j be ((-66)/(-1 - 2))/2. Suppose 2*f = -3*f - 25, -35 = 5*g + 2*f. Let t = g + j. Calculate the remainder when t is divided by 2.
0
Let q = -17 + 22. Suppose -q*z = -0*z - 100. What is the remainder when 37 is divided by z?
17
Suppose 3*z = -3, 0 = 5*o - z - 80 + 19. Let q = 7 + 26. Calculate the remainder when q is divided by o.
9
Suppose -32*g = -40*g + 208. Calculate the remainder when g is divided by 9.
8
Suppose -2*i = 3 + 3. Calculate the remainder when 96/20*(-40)/i is divided by 22.
20
Let y be (-3)/9 - (-14)/6. Let k be (-2)/3 + (-220)/30. Calculate the remainder when y*(-34)/k*2 is divided by 6.
5
Let b(q) = 2*q**3 - 9*q**2 + 3*q - 4. Let t be b(6). Let g = 55 - t. Let i = -29 - g. What is the remainder when i is divided by 13?
12
Let z be 119 + (-3 + 1 - 2). Suppose -2*a - 106 = -6*a - 3*w, 5*a - 5*w - z = 0. What is the remainder when 99 is divided by a?
24
Let t = 9 - 45. Calculate the remainder when -57*3*4/t is divided by 5.
4
Suppose 2*l + 3*l - 45 = 0. Suppose -4*n + l*n = 100. Calculate the remainder when 59 is divided by n.
19
Let f(m) = 51*m**2 - 4*m - 3. Suppose -3*k + 8 + 1 = 0. Suppose k*q - 2*j - j = 60, -3*j = 6. Calculate the remainder when f(-1) is divided by q.
16
Suppose -137 = 3*l + 91. Let d = -46 - l. Calculate the remainder when 57 is divided by d.
27
Let i = 7 + -5. Calculate the remainder when i is divided by 2.
0
Suppose -63*g + 62*g + 58 = 0. What is the remainder when g is divided by 15?
13
Suppose x - 4*x = 54. Let n = -12 - -14. What is the remainder when (-76)/x - (-2)/(-9) is divided by n?
0
Let b be 566/(-8) + (-2)/8. Let i = -16 - b. Suppose 0*u - 94 = -5*u - k, -4*u - 3*k = -73. Calculate the remainder when i is divided by u.
17
Let f(h) = h**3 - 11*h**2 + 11. Let c be f(11). Suppose 2 = -k + 5*i, 0 = -k - k - 5*i + c. What is the remainder when 22 is divided by 13*1 - (4 - k)?
10
Let l = -9 + 16. Calculate the remainder when l is divided by 6.
1
Let i be (45/(-20))/((-2)/(-8)). Let b = 13 + i. Calculate the remainder when 10 is divided by b.
2
Suppose 0 = 193*t - 198*t + 145. What is the remainder when t is divided by 3/(6/22) - 1?
9
Let m(r) = 15*r**3 + 4*r**2 - 4*r + 3. Calculate the remainder when m(2) is divided by 33.
32
Suppose -i - 13 = 3*v + v, -5*i = -4*v + 137. Let c = i - -44. Calculate the remainder when 35 is divided by c.
16
Suppose 0 = 4*y + 2*i - 12, 0 = 4*y - 3*i + 2*i - 12. What is the remainder when (-1)/(1/(-5)) - -3 is divided by y?
2
Suppose -40 = u - 3*u. Suppose 0 = s + 4*s - u. Suppose -s*a = -2*f - 0*a + 46, -5*f + 3*a = -80. Calculate the remainder when f is divided by 5.
3
Let l = 172 + -70. Calculate the remainder when l is divided by 78/(-8)*(2 + (-42)/9).
24
Let s = -12 - -22. What is the remainder when 79 is divided by s?
9
Suppose 3*t = -k + 2 - 30, 4*k + 4 = 0. Let f = t + 19. What is the remainder when 29 is divided by f?
9
Let y(x) = x**2 + 6*x + 4. Suppose z - 4*z = 3*j + 9, z = 5*j + 39. Calculate the remainder when 32 is divided by y(j).
10
Let r = -9 + 22. Suppose -2*m = 2*f + 3*m - 29, 2*m - 6 = 0. Calculate the remainder when r is divided by f.
6
What is the remainder when (-21594)/(-671) - ((-18)/22 - -1) is divided by 5?
2
Suppose -5*m - 84 = -8*d + 4*d, 0 = -2*m. Let w = -11 + d. What is the remainder when 17 is divided by w?
7
Let z = -3 - -5. Let k = 51 + -49. What is the remainder when z is divided by k?
0
What is the remainder when 15 is divided by (-40)/(-180) - 140/(-18)?
7
Let a(t) = 18*t**3 + t. Calculate the remainder when a(1) is divided by 7.
5
Suppose 2*t - 21 = t. What is the remainder when t is divided by 6?
3
Let f(d) = d**3 + 9*d**2 - 7*d + 6. Calculate the remainder when f(-9) is divided by 14.
13
Suppose 8*k - 94 = 2. What is the remainder when 22 is divided by k?
10
Let j(f) = -9*f. Let d be j(2). Let w = -21 + 56. Let c = w + d. What is the remainder when 32 is divided by c?
15
Suppose 112*z = 110*z + 16. What is the remainder when 28 is divided by z?
4
What is the remainder when 4/(-6) - (78/(-9) - 3) is divided by 8?
3
Suppose 2*t + 3*t + 10 = 0. Let n = 5 - 18. Let r = t - n. Calculate the remainder when 41 is divided by r.
8
Let a(i) = -6*i - 2. Let b = 48 + -29. Let t = b + 10. Calculate the remainder when t is divided by a(-2).
9
Let o(d) = 2*d**2 + 15*d + 13. Let p be (-39)/4 + 1/(-4). Calculate the remainder when o(p) is divided by 16.
15
Let r(j) = -3*j + 6. Let h be ((-5)/(-4))/(1/4). Suppose -5*c - h*u - 30 = 0, 2*c - c - 2*u = -6. What is the remainder when 70 is divided by r(c)?
22
Let i(q) = -5*q**3 - 2. Let m be i(-2). Suppose -m = -2*r - 4*o, 5*r - 71 = -o - o. What is the remainder when 51 is divided by r?
12
Suppose 0 = -4*w + w + 39. What is the remainder when w is divided by 2?
1
Suppose 0 = 5*z + 4*h - 0*h - 90, 2*h = 3*z - 54. Suppose 3*a - z = a. Suppose 2 = g - 3*q - 21, -5*q + 109 = 4*g. What is the remainder when g is divided by a?
8
Let h be (-225)/(-6) + 1/(-2). Suppose 2*d - g = 20, 2 = -3*d + 4*g + h. Calculate the remainder when 35 is divided by d.
8
Let a(c) = c**2 + 5*c + 6. Calculate the remainder when a(-5) is divided by 3.
0
Let n(u) = 8*u**2 - 2*u + 2. Calculate the remainder when 30 is divided by n(1).
6
Let b(i) = -i**2 - 9*i - 3. What is the remainder when 20 is divided by b(-7)?
9
Let w be 7 + -2*3/6. What is the remainder when 24 is divided by 76/w - 2/(-6)?
11
Let b be (28/21)/(2/3). Suppose -5*d + b*d + 21 = 0. Calculate the remainder when 18 is divided by d.
4
Suppose -u + 4*b + 11 + 16 = 0, -28 = -2*u - 5*b. What is the remainder when 54 is divided by u?
16
Let u = 21 - 8. Let c = -9 + u. Suppose -3*m - j = -16, c*m - 2*j - 3*j - 34 = 0. Calculate the remainder when 17 is divided by m.
5
Suppose n + w + 3 = 2*n, -3 = 3*w. Suppose -2*i - n = 0, k - i = -2*k + 16. Let s = 25 - 12. Calculate the remainder when s is divided by k.
3
Let b(a) = a**3 + 3*a**2 + 2*a + 1. Let m be b(-5). Let t be (m + 1)/(0 + -1). Suppose -z = z - t. What is the remainder when z is divided by 15?
14
Let m(j) = -j**3 + 5*j**2 - 3*j - 2. Let i be m(4). Suppose 6*a - 2*a = 48. Suppose -3*n + i*n = -a. What is the remainder when 35 is divided by n?
11
Suppose -5*r + 26 - 11 = 0. Suppose 2*b - 7*b = -245. Suppose 0 = -3*k + k - 2*c + 22, -4*k - 5*c = -b. Calculate the remainder when k is divided by r.
0
Let r = 200 + -118. Let s = 147 - r. Suppose 3*f = 4*q - 103, -f - 64 = -2*q + 3*f. What is the remainder when s is divided by q?
21
Let q(u) = u**2 - 5*u. Let z be q(5). Suppose 0*y + 2*y - 38 = z. Suppose -4*f = -2*f - v - 59, f = -3*v + y. What is the remainder when f is divided by 15?
13
Let j(o) = o - 9. Calculate the remainder when 80 is divided by j(21).
8
Let u = 36 + -23. Le