1. What is the remainder when 32 is divided by i?
15
What is the remainder when 42 is divided by 12 + 2 + -1 - 2?
9
Suppose -5 = -5*n - 0*n. Calculate the remainder when 2 + n + 0 + 16 is divided by 11.
8
Let f(p) = 2*p**2 + p - 3. Let r be f(-3). Calculate the remainder when -123*2*(-2)/r is divided by 14.
13
Let b(x) = -x + 19. Suppose 5*v = -2*g + 21, 8*g - 4*g - v = 31. Calculate the remainder when b(g) is divided by 4.
3
Let u = 13 - -9. Let g = 7 + 56. Calculate the remainder when g is divided by u.
19
Let k be ((-28)/10 + 2)*-120. Let q be 1 + 63 + 0 - -3. Let v = k - q. What is the remainder when v is divided by 10?
9
Let w = 22 - 16. Suppose -2 = n, 2*r = -2*r - n - w. What is the remainder when 9 is divided by ((-3)/9)/(r/15)?
4
Suppose 0 = 2*p + 21 + 3. Let q = -1 - p. Calculate the remainder when 30 is divided by q.
8
Suppose t + 30 + 15 = 0. Let m = -12 - t. Let v = m + 0. Calculate the remainder when v is divided by 17.
16
Let r = -2 + 5. Suppose -g = -v - 5, g - r*v - 7 = 2*g. What is the remainder when g is divided by 1?
0
Calculate the remainder when 80 is divided by 21/14 - (-158)/4.
39
Let z(b) = -8*b - 5. What is the remainder when z(-1) is divided by 3?
0
Let l = 54 - 23. What is the remainder when l is divided by 17?
14
Let h(q) = -8*q. Let w be h(1). Let p(v) = v**3 + 7*v**2 - 8*v + 2. Let f be p(w). Calculate the remainder when (f + 76)/2 + -3 is divided by 19.
17
Let a be 1 + -1 + 1 + 0. Calculate the remainder when 17 is divided by 2*a*(-72)/(-16).
8
Let m = 41 - 20. What is the remainder when 60 is divided by m?
18
Suppose 0 = -0*f - 5*f + 75. What is the remainder when 6/(-10) + 1494/f is divided by 25?
24
Let f(z) = -z + 12. Let h = -5 - -6. Let n be (0/(h/(-1)))/(-3). What is the remainder when 23 is divided by f(n)?
11
Let g be -3*(-10)/(-2 - -4). Let v = g - -8. Let z = 51 + 17. What is the remainder when z is divided by v?
22
Suppose 49 = z + 3*g, -2*z + 3*g + 0*g + 125 = 0. Let q = z - 11. Calculate the remainder when q is divided by 16.
15
Calculate the remainder when (6 - (-249)/(-2))*(-2)/3 is divided by 41.
38
Let i = -17 + 25. Let k(r) = 2*r**2 - 11*r + 10. What is the remainder when k(i) is divided by 13?
11
Suppose 4*c + 60 + 27 = -3*a, -2*c - 40 = -2*a. Let m = c - -13. Let k(p) = -p**3 - 9*p**2 - 12*p - 8. What is the remainder when k(m) is divided by 13?
11
Let r be (6/4)/((-6)/(-8)). Let j(o) = -o - 3. Let k be j(-3). Suppose k = -2*p - r*p + 32. Calculate the remainder when 22 is divided by p.
6
Let n be (0 - -3)*1 + -3. Suppose n = -p - 2*p + 9. Suppose t = -p*t + 28. What is the remainder when 20 is divided by t?
6
Suppose 0*g - 5*q = -g - 36, 57 = -2*g + 5*q. Let n = 13 - g. Suppose -5*f + 0*f + 90 = 0. Calculate the remainder when n is divided by f.
16
Suppose -7*a = -6*a - 3. Let l = a - -1. Let v = 11 + l. Calculate the remainder when 58 is divided by v.
13
Suppose 35 = 4*r + s, 0 = 2*r + 3*s - 7 - 8. What is the remainder when r is divided by 6?
3
Let s(f) = -35*f**3 - f**2 - f. Let i be s(-1). Let x = i - 20. What is the remainder when x is divided by -2*1*4*-1?
7
Suppose -u = 2*u - 117. Calculate the remainder when u is divided by (-3 + 1)/(-1) - -8.
9
Let z(p) be the third derivative of -p**6/30 - p**5/20 - p**4/8 - p**3/2 + 4*p**2. What is the remainder when z(-2) is divided by 13?
10
Suppose 2*c - 2 = -54. Let y = c - -49. Calculate the remainder when 45 is divided by y.
22
Let v = 6 + -10. Suppose 1 = -4*i + m, 3 = 3*i + 2*m + 1. Let w = i - v. What is the remainder when 11 is divided by w?
3
Let t = -54 - -73. What is the remainder when t is divided by 4?
3
Suppose 0*l - 4 = -2*l, -3*l - 54 = -3*z. Suppose -9*m + 4*m = -15, 5*m = -5*r + 50. What is the remainder when z is divided by r?
6
Suppose 3*f = -2*c + 4, 4*c - 2*f - 9 = -1. Let w(d) = 3*d - 2. Let u be w(2). Suppose -3 = -u*n + 1. Calculate the remainder when c is divided by n.
0
Suppose 3*h - 2*j = 240, -4*h = 3*j - 28 - 275. Calculate the remainder when h is divided by 27.
24
Let p = 95 + -77. Calculate the remainder when 249 is divided by p.
15
What is the remainder when 144 is divided by (-2976)/(-80) + (-2)/10?
33
Let w = -24 + 28. Suppose -7 - 13 = -2*m. What is the remainder when m is divided by w?
2
Let n(v) = -2*v + 35. Let c be n(17). Suppose -4*j = -5*q + 139, -5*q + j + 90 + 46 = 0. Let s = q - c. What is the remainder when s is divided by 14?
12
Let c(s) = 12*s - 5. Calculate the remainder when c(4) is divided by 15.
13
Let n = 53 - 33. What is the remainder when 219 is divided by n?
19
Suppose -o + 0*a = 3*a - 16, 3*a = -4*o + 46. Calculate the remainder when o is divided by 3.
1
Suppose -6*s = -2*s - 124. What is the remainder when s is divided by 17?
14
Suppose 3*d = -3*k + 74 - 26, 5*d - 5*k = 70. Suppose -4*l - l - d = 0. Let x = -2 - l. What is the remainder when 1 is divided by x?
0
Suppose -2 + 5 = -3*d, -2*d = 2*x + 2. Suppose x*v + 3*v = 111. Calculate the remainder when v is divided by (-178)/(-14) - (-4)/14.
11
Suppose -2*z + 0*z - 2*p + 28 = 0, 0 = -2*z - 5*p + 19. Calculate the remainder when (4/12)/(3/603) is divided by z.
16
Let c(y) = 9*y**2 - 3*y + 3. Let k be c(2). Suppose -k = -5*q + 32. Calculate the remainder when 3/(-9) - (-152)/6 is divided by q.
12
Suppose 16*i - 13 = 15*i. Calculate the remainder when 50 is divided by i.
11
Suppose -3*m + 54 = 3*c, 2*c - 4*m = c - 2. Let b = 11 - 3. Let i = 31 + b. Calculate the remainder when i is divided by c.
11
Let u(d) = -7*d**3 - 8*d**2 + 6*d - 2. Calculate the remainder when u(-3) is divided by 7.
6
Suppose -42 = -4*d - 5*r + 2*r, -3*r = 2*d - 24. What is the remainder when d is divided by 7?
2
Let z(b) be the first derivative of b**4 - b**3/3 + b**2/2 + 1. Calculate the remainder when -1 - (0 - (6 - -1)) is divided by z(1).
2
Suppose 2*g - 9 = g. Suppose -x = -2*x. Suppose x = h - 2*h + 3*l + 17, 92 = 4*h - 4*l. What is the remainder when h is divided by g?
8
Suppose m - 3*s - 29 = -0*m, -3*s = 9. Suppose 5*p - 53 = -4*u, -p = 3*u - 3*p - 11. Calculate the remainder when m is divided by u.
6
Let d be (2/1 + -33)*-1. Let m = 18 - d. Let x = m + 25. What is the remainder when 34 is divided by x?
10
Suppose 40 = -3*k - 5*f + 8, 5*k - f + 16 = 0. Let s(l) = -3*l - 2. What is the remainder when 28 is divided by s(k)?
8
Suppose 5*o + 5*r = 5, r + 0 - 4 = -4*o. Suppose -4*q + 4 - 32 = 0. Let c = 8 + q. Calculate the remainder when o is divided by c.
0
Let q be (0 + 0)*1/1. Let u be -9*(-1 - (1 - 1)). Suppose -3*i - 3 + u = q. Calculate the remainder when i is divided by 1.
0
Suppose 5*s = 3*p + 67 - 2, 3*p = -2*s + 26. What is the remainder when 91/4 - (-1)/4 is divided by s?
10
Let b(v) = -v**2 + 7*v - 7. Let s be b(6). Suppose 10 = 5*q, 2*q = 5*h + 5*q - 96. What is the remainder when h is divided by -2 - (-2 - s) - -8?
4
Let i(p) = -4*p - 2. Let u be i(-2). Let s = u + -4. Suppose s*a - 32 = 36. What is the remainder when a is divided by 12?
10
Let a be (2 - 1) + (49 - -1). Let w = -26 + a. What is the remainder when w is divided by 13?
12
Let s = 3 - -4. What is the remainder when 74 is divided by s?
4
Let n = -25 + 44. Calculate the remainder when n is divided by 5.
4
Suppose 0 = 5*d - d. Suppose 5*l + 3*j - 127 = d, 5*l + 0*j = -j + 119. Calculate the remainder when l is divided by 6.
5
Let m(d) = -d**3 - 1. Let r be m(0). Let k = r - -11. Let x = 16 + k. Calculate the remainder when x is divided by 9.
8
Suppose -h = -3*a - 226, 0 = 3*h - 5*a - 110 - 552. What is the remainder when h is divided by 43?
42
Suppose -4*b + 82 + 118 = 0. Calculate the remainder when b is divided by 17.
16
Let x = 17 - -2. What is the remainder when 75 is divided by x?
18
Suppose -12 = -2*b - 4. Suppose 4*r + b - 40 = 0. Calculate the remainder when 25 is divided by r.
7
Let c(b) = 5*b + 1. Let x(s) = s**3 + 2*s**2 - 9*s + 3. Let g be x(-4). Let v(j) = j**2 - 7*j + 4. Calculate the remainder when c(2) is divided by v(g).
3
Let q(w) = -5*w**2 - 26*w - 11. Let g = -90 + 141. Calculate the remainder when g is divided by q(-4).
12
Suppose -t = 4*z, 3*z - 5*t = 8*z. Let u(i) = i**3 + 9. Let o be u(z). Calculate the remainder when ((o + 2)*-1)/(-1) is divided by 4.
3
Let f(j) = 10*j**3 + 2*j**2 - j. Calculate the remainder when 30 is divided by f(1).
8
Suppose c - 4*d = 24