 remainder when 31 is divided by s?
7
Suppose 4*q - 363 = -11. Let w = q + -45. Suppose 5*n = -3*k + 60, 4*k + 50 = n + n. Calculate the remainder when w is divided by n.
13
Suppose 5*a + 11 = -2*t, -5*a - 81 + 21 = -5*t. Calculate the remainder when t is divided by 3.
1
Let h = 49 - 9. What is the remainder when h is divided by 21?
19
Let k = -8 + -3. Let m = -2 - k. Calculate the remainder when m is divided by 5.
4
Suppose 3*z = -5*i + 95, -4*z - 57 = -3*i - 8*z. What is the remainder when 74 is divided by i?
17
Let r = -10 - -12. Suppose a - r - 10 = 0. Let g(k) = -k**3 + 13*k**2 - 11*k. What is the remainder when 23 is divided by g(a)?
11
Let n = 36 - 24. Suppose n = g - 6. What is the remainder when g is divided by 7?
4
Suppose -4*k + 8 = -0*k. Let a(i) = 2*i - 3. Let y be a(3). Suppose q + y = k*q. Calculate the remainder when 5 is divided by q.
2
Let b be -4*3/6 + 3. Suppose b = 2*i - 1. Calculate the remainder when 10 - i - (2 - 4) is divided by 6.
5
Let s(g) = 2*g**3 - g**2 - 3*g + 1. Calculate the remainder when 26 is divided by s(2).
5
Let l be 3/(-2)*(-16)/6. Suppose l*y = 48 + 16. Suppose u - 11 = -2. What is the remainder when y is divided by u?
7
Let c = 62 - 54. Let w = 13 + -7. Suppose -5*l + 11 = 4*z - w, -5*l + 4*z + 33 = 0. Calculate the remainder when c is divided by l.
3
Let w(a) = a**2 - 4*a + 7. Calculate the remainder when 26 is divided by w(4).
5
Let n(q) = -q**3 - q**2 - 38. Let w be n(0). Let y = 79 + w. Calculate the remainder when y is divided by 14.
13
Suppose m = -2*u + 133, -3 - 71 = -u - 3*m. Suppose -172 = -3*a + u. What is the remainder when a is divided by 27?
25
Let k(q) = q - 6. Suppose 2*f + 30 = 7*f. Let z be k(f). Suppose -t + 4 = -z*t. What is the remainder when 10 is divided by t?
2
Let h = 18 + -2. Suppose 5*v = 13 - 3. Suppose 3*i - 47 = v*i. What is the remainder when i is divided by h?
15
Let r = 199 - 135. What is the remainder when r is divided by 34?
30
Suppose -4*h + 16 = -8. Let a(p) = 4*p - 1. Calculate the remainder when a(h) is divided by 12.
11
Suppose 0 = 4*v + 6*v - 120. Calculate the remainder when 57 is divided by v.
9
Let y(x) = x**3 + 2*x**2 - 11*x - 7. Let f be y(-5). Let v be ((-24)/(-10))/((-2)/15). Let o = v - f. Calculate the remainder when 16 is divided by o.
7
Let a(j) = -j**3 - 3*j**2 - 2*j + 1. Suppose 3*u - 25 = -2*u. Let h(v) = v**2 - v - 7. Calculate the remainder when h(u) is divided by a(-3).
6
Let y = -5 - 14. Let n = y + 59. What is the remainder when n is divided by 14?
12
Suppose 58 = 2*m - m. Let d be 1/((-56)/m + 1). Suppose 0 = -3*z - d + 113. Calculate the remainder when z is divided by 15.
13
Suppose -12 = 4*i - 8*i. Suppose -5*s = 5*c - 40, 0 = 4*c - 5*s + 13. What is the remainder when c is divided by i?
0
Suppose -17*t - 30 = -19*t. What is the remainder when t is divided by 9?
6
Suppose -3*f = -5*f. Suppose -2*c = -c - 3. What is the remainder when (2 - -5)*c - f is divided by 8?
5
Suppose -127 = -5*o + 2*j, 0 = -3*o - 0*j - 3*j + 72. Calculate the remainder when 98 is divided by o.
23
Let p be 4/(-8) - (-27)/(-2). Let u = 0 - p. Let v(r) = 4*r + 3. What is the remainder when v(6) is divided by u?
13
Suppose 0 = -0*p - 5*p + 170. What is the remainder when 67 is divided by p?
33
Let q(c) = -2*c. What is the remainder when 70 is divided by q(-12)?
22
What is the remainder when 27 is divided by (-28)/8*(-12)/7?
3
Let d = 27 - 8. Let m(r) = -3*r - 2. Let q be m(-6). Suppose -3*n + 5 = -q. Calculate the remainder when d is divided by n.
5
Let c = 34 + -18. Calculate the remainder when (-8)/c*(-46 + 0) is divided by 12.
11
Let q be (13 - 0) + 6/3. Suppose 4*x - q = 13. What is the remainder when x is divided by 4?
3
Let b = 53 + 14. Calculate the remainder when b is divided by 23.
21
Suppose 5*u - 62 = -2*b + 12, 0 = -u + 4*b + 6. What is the remainder when (-6)/(-9) + 118/3 is divided by u?
12
Let a = 4 + 25. Suppose 0 = -3*w + 2*x - 7*x + a, -2 = -2*x. Calculate the remainder when 15 is divided by w.
7
Let a = 0 - -3. Let m = a - 6. Let d = m + 6. Calculate the remainder when d is divided by 2.
1
Suppose 5*v - 3*h - 18 = h, 2*h + 12 = 4*v. Suppose 0 = v*y + 3*u - 11, 0 = 3*y - 4*u + 6 + 3. Calculate the remainder when -3*2*(-2)/4 is divided by y.
0
Let p(m) = m**2 - 4*m - 3. Suppose 4*z = -n - 3, 5*n - 15 = -0*n - 5*z. Calculate the remainder when n is divided by p(5).
1
Let d be 174/8 - (-9)/(-12). Let l = -10 + d. What is the remainder when 31 is divided by l?
9
Let k = 8 + -6. Let t(q) = 12*q**3 - 2*q**2 + 2*q - 1. What is the remainder when t(1) is divided by (-1)/(-1 + k) - -5?
3
Let v(w) = 7*w - 13. Let z be v(-9). Let r = -19 - z. Calculate the remainder when r is divided by 20.
17
Suppose -4*r - q - q = -54, -4*r = -q - 45. Calculate the remainder when 39 is divided by r.
3
What is the remainder when (65/15)/((-2)/(-12)) is divided by 9?
8
Let c(g) = -11*g + 11. Let n be c(-5). Calculate the remainder when 15 is divided by 12/n - 42/(-11).
3
Let h(m) = -m**3 + 6*m**2 - 5*m + 5. Calculate the remainder when 7 is divided by h(5).
2
Let m = 32 - 43. Let b = 35 - 12. Let s = m + b. Calculate the remainder when 23 is divided by s.
11
Suppose 0 = 2*r + 2*b - 76, 0*r - r = -3*b - 18. What is the remainder when r is divided by (-5)/(-2)*(-36)/(-5)?
15
Suppose -5*z + 8 = -2. Suppose 4*i = -5*p + 176, -z*p + 168 = 3*p + 2*i. What is the remainder when p is divided by 17?
15
Suppose 0*d + 24 = 2*d. What is the remainder when 34 is divided by d?
10
Suppose 0 = -6*p + 4*p - 3*v + 14, -p + 20 = -5*v. Let i = -31 - -36. What is the remainder when 74/10 + (-4)/p is divided by i?
2
What is the remainder when 45 is divided by (-1358)/(-84) - 2/12?
13
Let b(c) = -c**2 + 31. Let t(h) = -h**2 + 1. Let p(d) = b(d) - 2*t(d). Let y = 7 + 8. What is the remainder when p(0) is divided by y?
14
Let p = 124 - -81. Suppose -4*f = 0, 3*x - p = -2*x + f. Calculate the remainder when x is divided by 14.
13
Let y(z) = -z**2 + 5*z + 5. Let w be y(5). Suppose -w*c + 182 = -c + b, c = -4*b + 53. Calculate the remainder when c is divided by 16.
13
Suppose -3*m = -5*m + 8. Let c = m + -2. What is the remainder when 5 is divided by c?
1
Let m(j) = 2*j**2 + 2*j + 101. Calculate the remainder when m(0) is divided by 26.
23
What is the remainder when (-4 - -5 - 0) + 13 is divided by 9?
5
Suppose 5*a + 4*k + 3 = -9, 4 = a + 4*k. Let o(g) = g**2 + g + 3. What is the remainder when o(a) is divided by 4?
3
Suppose 124*s + 7 = 125*s. Let k = 10 - 5. What is the remainder when s is divided by k?
2
Suppose -4*q = -10 - 50. Calculate the remainder when 42 is divided by q.
12
Suppose -2*u + 7 = -a + 41, 0 = -4*a + 5*u + 133. Let g = 24 - 13. What is the remainder when a is divided by g?
10
Let h(g) be the third derivative of g**5/60 + g**4/8 - g**3/2 + 2*g**2. Suppose -2*x = -12 - 26. Calculate the remainder when h(-8) is divided by x.
18
Let t = 23 - 2. What is the remainder when t is divided by 11?
10
Suppose -t - 2*t - 5*r + 135 = 0, -3*t + 135 = r. Calculate the remainder when t is divided by ((-23)/4)/(2/(-8)).
22
Let c(a) = 6*a**2 + 5*a - 5. Calculate the remainder when c(2) is divided by 8.
5
Let y = 96 - 51. Calculate the remainder when y is divided by 24.
21
Suppose 0 = z - 3*u - 14, 4*z - 8 - 41 = 5*u. Let m = 29 - -2. What is the remainder when m is divided by z?
9
Let q(p) = p + 2. Let n be q(0). Let h(v) = 2*v**2 - 3*v**2 + 6*v**n + v. What is the remainder when 10 is divided by h(1)?
4
Let m = 63 + -25. Suppose -4*j + 32 = -8. What is the remainder when m is divided by j?
8
Let l(o) = 4*o**2 + o. Let f be l(-1). Suppose 2*g = 5*n - 151, f*n = -4*g + g + 78. What is the remainder when n is divided by 15?
14
Let n = 61 - 42. Suppose 4*h = n + 45. Calculate the remainder when h is divided by 6.
4
Suppose 130 = -0*j + 5*j. Suppose -5*z + 19 = -j. What is the remainder when 16 is divided by z?
7
Let r be -7 + -4*3/(-6). Let u = r - -9. Let h = 17 - u. What is the remainder when h is divided by 5?
3
What is the remainder when (-1)/(-3)*(-2 + 59) is divided by 10?
9
Let i = 56 - 49. Suppose 39 = -l + 2*l + 5*u, 5*l + 5*u = 115. Calculate the remainder when l is divided by i.
5
Suppose -5*w - 29 = -2*t - 6, 0 = 4*t + w - 35. What is the remainder when t is divided by 5?
4
Let x(n) = n. Let