e remainder when 15 is divided by a.
3
Suppose -12 - 8 = 4*c, 5*c = -2*l - 9. Calculate the remainder when 8 is divided by l.
0
Let g(s) = 21*s**2 + 2*s + 2. Let f be g(-3). Let o = f - 273. Let h = -44 - o. Calculate the remainder when h is divided by 15.
14
Suppose -4*p + 1 = -39. Suppose 4*g = m + 21 + 309, 5*m + p = 0. Let s = 115 - g. What is the remainder when s is divided by 17?
16
Let o(t) = -t**2 + 7*t + 10. What is the remainder when o(7) is divided by 2?
0
Let r = 84 - 57. Suppose 4*m - 40 = -3*u - m, 54 = 5*u + 2*m. Calculate the remainder when r is divided by u.
7
Let q(g) = -3*g**3 - 2*g**2 - 2. Calculate the remainder when q(-2) is divided by 5.
4
Suppose 3*n = 7*n - 52. What is the remainder when 51 is divided by n?
12
Suppose 5*m - 4 = 3*m. Suppose 0 = -2*i - u - m*u + 101, -i + u + 48 = 0. Calculate the remainder when i is divided by 17.
15
Suppose 9*d - 18 = 6*d. What is the remainder when 64 is divided by d?
4
Suppose 0 = -4*n + 19 + 9. Let o be (-3)/(3 + 0)*-2. Calculate the remainder when n is divided by (-30)/(-7) + o/(-7).
3
Suppose -30 = -2*r - 3*r. Calculate the remainder when 29 is divided by r.
5
What is the remainder when 10/(-45) + 706/18 is divided by 10?
9
Let s be 1 - (0 - (-141)/(-3)). Let a = s - 22. Suppose 5*k + 5 = 0, -3*g + k + 17 = 5*k. Calculate the remainder when a is divided by g.
5
Let d(q) = q**3 - 6*q**2 + 3*q - 5. Calculate the remainder when 145/4 - (-1)/(-4) is divided by d(6).
10
Suppose 2*f = -0 + 2, 0 = -3*g + 3*f - 78. Calculate the remainder when (-366)/(-20)*2 - (-4)/10 is divided by 1/2 - g/2.
11
Let k = 106 - -17. What is the remainder when k is divided by 31?
30
Let v be (0 + -5)/(-6 - -5). Calculate the remainder when 19 is divided by v - 4/6*-3.
5
What is the remainder when 28 - (14/49 + (-18)/14) is divided by 17?
12
Let j = -190 + 285. What is the remainder when j is divided by 14?
11
Suppose 2 - 9 = t - 2*r, 0 = -4*t + 2*r + 2. Suppose -t*l = -j + 99, -4*j + 4*l + 297 = -j. Calculate the remainder when j is divided by 25.
24
Let a = 24 + -4. What is the remainder when 76 is divided by a?
16
Suppose 0 = -3*z + 51 + 15. Calculate the remainder when z is divided by 86/7 - (-4)/(-14).
10
Suppose 0 = 2*b + 19 + 53. Let q = 64 + b. Calculate the remainder when q is divided by 15.
13
Suppose -8*m + 2 = -198. Let p(l) = l**3 + 7*l**2 + 7*l - 1. Calculate the remainder when m is divided by p(-5).
11
Suppose -5*b = -2*b - 15. Suppose -3*y = b*l - 2*l - 75, 3*y = -l + 21. What is the remainder when l is divided by 10?
7
Suppose 4*x + x = 20. Suppose -x*w = w - 125. What is the remainder when w is divided by 13?
12
Suppose -32 = 29*l - 33*l. What is the remainder when 21 is divided by l?
5
Let a(u) = u**3 - 2*u**2 + u - 10. Calculate the remainder when a(5) is divided by 24.
22
Let u = 5 - -4. What is the remainder when 14 is divided by u?
5
Let v(n) = 984*n**3 + n**2 + 2*n + 1. Let k be v(-1). Calculate the remainder when 8/(-28) - k/14 is divided by 24.
22
Suppose 0 = 5*n + 48 - 8. What is the remainder when ((-4)/n)/((-3)/(-18)) is divided by 2?
1
Let x = 29 + -12. Calculate the remainder when 47 is divided by x.
13
Let b = 0 - -3. What is the remainder when (-3)/(b - (-102)/(-33)) is divided by 18?
15
What is the remainder when 44 is divided by (-9)/(-12) + (420/16 - 4)?
21
Let j = 1 - 1. Suppose 4*m - 6 - 6 = j. Let t(f) = -f**3 - 4*f**2 - 2*f. What is the remainder when t(-4) is divided by m?
2
Suppose -3 = 4*q - 11. Let c(v) = -v**2 - 11*v + 4. Calculate the remainder when (11/(-2))/((-1)/q) is divided by c(-11).
3
Suppose -17*f + 19*f = 16. What is the remainder when 45 is divided by f?
5
Let b(h) = 2*h**2 + 9*h + 10. Calculate the remainder when b(-7) is divided by 12.
9
Let t(d) be the first derivative of d**3/3 - d**2/2 + 12*d + 1. Let i(r) = -r**2 + 7*r + 131. Calculate the remainder when i(14) is divided by t(0).
9
Let d = -195 + 273. Suppose -4*y + 40 = -2*y. What is the remainder when d is divided by y?
18
Suppose 8 - 2 = 2*c. Suppose -4*h - c*p + 40 = -54, -76 = -3*h - 5*p. Suppose -n = -13 - h. What is the remainder when n is divided by 12?
11
Suppose -16*b + 296 = -8*b. What is the remainder when b is divided by 3*(14/6 - -1)?
7
Let y(d) = -d**3 + 3*d**2 + 6*d - 5. Let n(k) = k**3 - 5*k**2 + 6*k - 1. Calculate the remainder when n(4) is divided by y(4).
1
Let k(b) = 15*b**2 - b - 1. What is the remainder when -28*((-4 - -5) + -2) is divided by k(-1)?
13
Suppose -3*v + 4*n + 18 = 0, 0 = 4*v + 2*n + 2 - 4. What is the remainder when 2 is divided by v?
0
Let m = -2 - -5. Let x(d) = 4*d. What is the remainder when 23 is divided by x(m)?
11
Suppose 0*x + x + 4*i - 51 = 0, -2*x - 3*i + 87 = 0. What is the remainder when 77 is divided by x?
38
Calculate the remainder when 103 is divided by (-9)/27 + (-79)/(-3).
25
Suppose 0 = 10*a - 55 - 165. Calculate the remainder when 64 is divided by a.
20
Let p = 0 - -2. Suppose p*n = 2, -20 - 3 = -2*j - 3*n. Calculate the remainder when 38 is divided by j.
8
Let a = 36 - 32. Calculate the remainder when 9 is divided by a.
1
Suppose -4*j - 10 = -42. What is the remainder when 63 is divided by j?
7
Suppose -b - 1143 = -4*g, -3*b = -b + 6. What is the remainder when g is divided by 48?
45
Suppose 0 = -3*i + 301 - 28. What is the remainder when i is divided by 31?
29
Let n be -2*(-1 + -2)*-2. Calculate the remainder when (2/3)/(n/(-162)) is divided by 5.
4
Suppose 10*z - 228 = 6*z. What is the remainder when z is divided by 15?
12
Calculate the remainder when 12 + -3 - (3 - 5) is divided by ((-6)/5)/(3/(-10)).
3
Calculate the remainder when -1 + ((-780)/(-7) - (-8)/14) is divided by 28.
27
Suppose 3*l - 5 - 73 = 0. Let i(o) = -o**3 + 4*o**2. What is the remainder when l is divided by i(3)?
8
Let i(m) be the second derivative of 2*m - 1/6*m**3 + 0 - 5/2*m**2. What is the remainder when 9 is divided by i(-8)?
0
Suppose -2*r - 12 = -0*r. Let s(x) = x**3 + 7*x**2 + 8. Calculate the remainder when s(r) is divided by 15.
14
What is the remainder when -4*((-33)/4 + 1) is divided by (-21 - -22)*(1 + 14)?
14
Suppose 0 = 5*b - 1 - 4. Calculate the remainder when 1 is divided by b.
0
Let o be ((-1)/(-2))/((-1)/(-36)). Let z = o - 4. Calculate the remainder when 40 is divided by z.
12
What is the remainder when 92 is divided by -4 - -3 - -1*4 - -44?
45
Let c(o) = 22*o + 7. What is the remainder when c(2) is divided by 9?
6
Suppose -4*n + 41 = 3*j, -4*n - 26 = -3*j + 47. Let r = 84 + -48. Calculate the remainder when r is divided by j.
17
Let i(u) = u**2 - 4*u - 5. Let l be i(8). Suppose 2*p + l + 17 = 3*y, p + 57 = 4*y. What is the remainder when y is divided by 8?
6
Suppose -516 = 2*n - 6*n. Calculate the remainder when n is divided by 44.
41
Suppose 4*c = 2*q - 28, 12 = -q - 4*c + 32. What is the remainder when 158 is divided by q?
14
Let h(f) = -3*f + 4. Let d(z) = -z - 1. Let s(g) = 3*d(g) + h(g). Calculate the remainder when s(-2) is divided by 7.
6
Let a(m) = m**2 + 8*m + 4. Let d be a(-8). Let h = d + 19. Calculate the remainder when h is divided by 8.
7
Calculate the remainder when (13*(-5 - -4))/(-1) is divided by 5.
3
Let d(v) = 19*v**2 + v + 1. Let k be d(-1). Suppose 0 = -2*n - 1 + k. Let m = 64 + -39. What is the remainder when m is divided by n?
7
Suppose -4*o + 4*q = -32, 11 = 2*o - q + 4*q. Let k(n) = n**3 + 5*n**2 - 3*n + 3*n**2 + o + n**2. What is the remainder when k(-9) is divided by 18?
16
Suppose -2*f + 152 = 2*f. What is the remainder when f is divided by 13?
12
Let a(j) = -4*j - 6. What is the remainder when 87 is divided by a(-7)?
21
Suppose 5*o = -2*s + 144, 0 = -5*s + o + 275 + 85. What is the remainder when s is divided by 37?
35
Let y(m) = 3*m**2 - 7*m + 3. Let x(j) = -j**2 - j. Let v(o) = -4*x(o) + y(o). What is the remainder when 73 is divided by v(2)?
23
Let a be ((-38)/(-8) + -1)/((-30)/(-200)). Let k(j) = j - 1. Let w be k(-4). Let v = a + w. Calculate the remainder when v is divided by 11.
9
Let l = -19 - -21. Suppose 3*q + 4 = l*n, 5*n - 10 = -0*q - 2*q. Calculate the remainder when 3 is divided by n.
1
Let x = 7 + -5. Suppose 3 + x = 5*o. Calculate the remainder when 1 is divided by o.
0
Suppose 5*l + 54 = 3*f, 4*f + 19 = -3*l - 25. What is the remainder when (-3)/(-18) - 598/l is divided by 17?
16
Let v be (-684)/(-6