hen x is divided by 7.
4
Let s(b) = 5*b - 3. Suppose -t = 14 - 58. Let d = -9 + t. What is the remainder when d is divided by s(3)?
11
Let m be 744/10 - 3/(-5). Suppose m = -0*o + 5*o. Calculate the remainder when 43 is divided by o.
13
Suppose 3*c - 43 = 2*m, 2*c = 4*m + 34 - 8. Let o = c + -8. What is the remainder when o is divided by ((-56)/(-70))/((-2)/(-5))?
1
Calculate the remainder when -52*(-2 - 2/(-2)) is divided by 11.
8
Suppose 0 = -5*r + 21 + 9. Suppose 2*a + r = 3*a - 2*z, 5*z = 0. What is the remainder when a is divided by (-3)/((-6)/8*1)?
2
Suppose 7*c - 332 = 3*c. Calculate the remainder when c is divided by 21.
20
Let v = -2 + 5. Calculate the remainder when v is divided by 3.
0
Let x(y) = 19*y - 2. Let r be x(3). Suppose -s + 6*s = r. Let g = 71 - 50. Calculate the remainder when g is divided by s.
10
Let o(w) = -7*w - 2. Let u(s) = s + 1. Let a(l) = o(l) + 4*u(l). What is the remainder when a(-5) is divided by 6?
5
Let g = -2 - -4. What is the remainder when 3 is divided by g?
1
Let o(u) = u + 14. Suppose 0*n + 84 = 2*n. Suppose 3*f - n = -15. Calculate the remainder when f is divided by o(-8).
3
Suppose -5*n - 4*b - 127 = 0, -2*n + 4*b - 89 = n. Let s = 32 - n. What is the remainder when s is divided by 20?
19
Suppose 73 = 4*p - 3. What is the remainder when 31 is divided by p?
12
Suppose 3*k + 2 - 29 = 0. Let a = -4 + 7. Suppose 0 = a*o - 5*o + 10. Calculate the remainder when k is divided by o.
4
Let x(w) = -w + 1. Let j be x(0). What is the remainder when -28*(j - -1 - 3) is divided by 10?
8
Let o = 8 - 2. What is the remainder when o is divided by 3?
0
Let y = -10 - -23. Let d be -2*1 - (-12)/2. Suppose -4*z + 4*c = -54 - 26, 2*c = d*z - 90. What is the remainder when z is divided by y?
12
Suppose -3*d = -4*m - 31 + 4, -4*m = 12. What is the remainder when 11 is divided by d?
1
Suppose -6*z - 29 = -3*j - z, -4*j + 4*z + 44 = 0. What is the remainder when 74 is divided by j?
9
Let a be (-8)/(-6) - 1/3. Suppose p - 6 = -a. Calculate the remainder when 13 is divided by p.
3
Suppose 3*u - 11 - 57 = -5*x, 104 = 5*u - x. Suppose 3*i = 42 + 69. Suppose -i = -7*z + 47. What is the remainder when u is divided by z?
9
Let j = 40 + -16. What is the remainder when j is divided by 5?
4
Let x = -1 - -4. Let k(u) = u**3 - 2*u**2 + u - 1. Calculate the remainder when 19 is divided by k(x).
8
Suppose -65 = 2*m - 4*m - p, -5*m - 2*p = -163. What is the remainder when m is divided by 9?
6
Suppose -5*d + 27 + 103 = 0. Let w(q) = q**3 + 4*q**2 - 5*q + 7. What is the remainder when d is divided by w(-5)?
5
Let p(b) = 43*b - 9. Let l(g) = 11*g - 2. Let t(i) = -9*l(i) + 2*p(i). Let q be (0 + 3)*1 - 4. What is the remainder when 25 is divided by t(q)?
12
Suppose 4*c - 2*c = 58. Let a = -16 + c. What is the remainder when a is divided by 5?
3
Let i be 23 + (-1 - (-2 + 2)). Suppose s - i = -s. Suppose 47 + s = 2*t. What is the remainder when t is divided by 15?
14
Let b = -12 - -12. Calculate the remainder when 34/4*(4 + b) is divided by 12.
10
Suppose -2*a - 6 = p, -3*a + 12 = -2*p - 8*a. Calculate the remainder when (-40)/p*15/2 is divided by 17.
16
Suppose 0 = -j + 5*j + l - 101, -3*j = -l - 81. Suppose 5*y - 18 = 52. Calculate the remainder when j is divided by y.
12
What is the remainder when -1 + 33 + (-4)/(-8)*4 is divided by 10?
4
Suppose -2*b = -3*b + 13. Suppose -3*i = -4*u - 55, 31 = i - u + b. What is the remainder when 33 is divided by i?
16
Suppose 2*y = -y - 33. Let u = -5 - y. What is the remainder when 10 is divided by u?
4
Let d(f) = 4 - 2*f - f - f**2 - 2. What is the remainder when 4 is divided by d(-3)?
0
Let j(y) = -10*y - 9. Calculate the remainder when j(-5) is divided by 15.
11
Let j(p) = 2*p**2 - p. Let d be (-1 - -2)*(9 - -2). Let t = d + -5. What is the remainder when j(-2) is divided by t?
4
Let p(s) = s**2 - 4*s - 3. Let u be p(-3). Suppose -114 = -4*n + u. Let d = -37 + 55. What is the remainder when n is divided by d?
15
Suppose 0 = 4*a - 7*a + 3. Suppose 3*q - a = 11. What is the remainder when 6 is divided by q?
2
Let k(l) = -5*l - 30. What is the remainder when 27 is divided by k(-7)?
2
Let s = 24 + -15. What is the remainder when (-625)/(-15) + 2/6 is divided by s?
6
Let y(z) = -z**3 - 9*z**2 + 12*z - 9. Let p be y(-10). Suppose -27*k + 224 = -23*k. Let r = p + k. Calculate the remainder when r is divided by 14.
13
Suppose -3*t - 12 = h, -h - h - 3*t - 9 = 0. Calculate the remainder when (1 - -38)*(h + -2) is divided by 20.
19
Let c = 10 + 8. What is the remainder when 33 is divided by c?
15
Let j(r) = r + 8. Let c(p) = 5*p**2 - 6*p + 1. What is the remainder when c(4) is divided by j(12)?
17
Let i(o) = 2*o**2 - 6*o + 5. Suppose 3*s + 2*s = 0. Calculate the remainder when (-150)/(-6) + s/(-2) is divided by i(4).
12
Let n = 147 + -78. Calculate the remainder when n is divided by 18.
15
Let q = 48 - 7. What is the remainder when q is divided by 6?
5
Let i = 73 - 67. What is the remainder when 16 is divided by i?
4
Let n = -7 - -6. Let r = 1 - n. What is the remainder when (1 - r/1)*-24 is divided by 9?
6
Let n = 7 + -2. Calculate the remainder when 12 is divided by n.
2
Let q(y) = 11*y + 3*y**2 - 6 - 4*y**2 + 1. What is the remainder when 17 is divided by q(10)?
2
Suppose -3*d - k + 64 = -6*k, 0 = 2*d - 2*k - 48. Calculate the remainder when d is divided by 3.
1
Suppose 0 = -5*z - 4*a + 35, 2*z + 0 = -2*a + 16. Let v(n) = 7 - 13 - 5*n + z. Calculate the remainder when v(-2) is divided by 3.
1
Let c = 48 + -23. Suppose l + 0*l - 13 = 0. What is the remainder when c is divided by l?
12
Suppose 4*r - k = 56 + 3, 3*r = k + 45. Suppose -f + 8 = -17. Calculate the remainder when f is divided by r.
11
Let b = 296 + -281. Let d = 14 - 10. Calculate the remainder when b is divided by d.
3
Let q(t) = t**2 + 4*t + 5. Let c = -3 - 1. Calculate the remainder when q(c) is divided by 3.
2
Suppose 0*r + 4*r = 0. Suppose r*y + 9 = y - p, 2*p + 8 = y. What is the remainder when 27 is divided by y?
7
Suppose -4*f - 3*x + 49 = 0, -f + 4*x + 16 + 1 = 0. Calculate the remainder when 50 is divided by f.
11
Let v be (2/3)/((-2)/12). Let n = -2 - v. What is the remainder when (3/(-5))/(8/(-40)) is divided by n?
1
Let z(u) = u**2 + 3*u + 2. Let t be z(-2). Let d(w) = -2*w + t + 0 - 14*w + 1. What is the remainder when 33 is divided by d(-1)?
16
Let v(o) = o**2 + 6*o - 1. Calculate the remainder when v(5) is divided by 14.
12
Let r be 3 - (1 + (2 - 5)). Suppose r*q - 203 = 12. Let j = -13 + 24. Calculate the remainder when q is divided by j.
10
Let i = 14 - -3. Calculate the remainder when 83 is divided by i.
15
Suppose -2*g + 74 = 2*n, -5*g - 26 = 2*n - 103. Calculate the remainder when n is divided by 15.
6
Suppose 4*a + 35 = y, 0 = y - 0*a + a - 10. Suppose 2*r = -39 + 335. Suppose 0*s - 5*s - 3*c = -r, c - 1 = 0. Calculate the remainder when s is divided by y.
14
Let h be (2/4)/(1/4). Suppose -h*b = -0*b - 30. Suppose -n - 2*g - 9 = g, -5*n + b = 3*g. Calculate the remainder when n is divided by 4.
2
Suppose -2*n + 12 = 5*i - 7, -5 = -i - n. Suppose -i*r + 89 = 23. What is the remainder when 43 is divided by r?
21
Let m = 37 - -9. Calculate the remainder when m is divided by 12.
10
Suppose 0*v - 13 = -v. What is the remainder when v is divided by 7?
6
Let p be 2 - 2 - (-1)/1. What is the remainder when (p + 24/(-9))*-3 is divided by 3?
2
Suppose g + 11 = -13. Let r be 2/(-5) + g/(-10). Suppose -r*f + 4*d = d - 33, f = 4*d + 29. What is the remainder when 17 is divided by f?
8
Suppose -4*k = -3*n + 54, 2*k - k = 2*n - 41. What is the remainder when 175 is divided by n?
21
Let c(p) = p**2 + 3*p + 4. Calculate the remainder when 26 is divided by c(-4).
2
Suppose -6*i + 15 = -3*i - 4*w, 0 = 2*i + 4*w + 10. Suppose -7 = -3*z - i. Suppose -3*f = z - 68. Calculate the remainder when f is divided by 8.
6
Let o(x) = 10*x - 6. Let p(g) = 9*g - 5. Let d(m) = 5*o(m) - 6*p(m). Calculate the remainder when 31 is divided by d(-2).
7
What is the remainder when 119 is divided by (-42)/(-378) + 430/18?
23
Let o(w) be the second derivative of -w**5/20 - w**4 - 2*w**3 - w**2/2 + 2*w. Calculate the remainder when 29 is divided by o(-11).
9
Let i = 291 + -202. Calculate the remainder when i is divided by 30.
29
Let d(w) = -w**3 - 4*w**2 - 4*w. Let u b