 when 4 is divided by f.
1
Suppose 3*c = 4*r - 20, -7*r + 2*r = -3*c - 25. Suppose 0*s + 3*s = 5*y + 90, c = -s + 4*y + 23. What is the remainder when s is divided by 12?
11
Let g be (-2 - -3)/(1/12). Suppose 3*z = 4*z - g. Calculate the remainder when 29 is divided by z - (-4)/(1 - 3).
9
Suppose 4*r - 70 = 18. Suppose 0 = i - 24 - r. What is the remainder when i is divided by 12?
10
Suppose -4*q - n + 72 = -7, -4*n = -5*q + 83. What is the remainder when 54 is divided by q?
16
Suppose -4 = -5*u + 4*r + 32, 0 = -4*u + 2*r + 30. Let y = u + 1. Let q = -12 + 29. Calculate the remainder when q is divided by y.
8
Suppose 2*f + k = 126 + 83, -4*f - 4*k + 424 = 0. Calculate the remainder when f is divided by 26.
25
Let g = -7 + 11. Let t(f) = 1 - g*f - 12 + f. What is the remainder when 47 is divided by t(-9)?
15
Let k(j) = j**2 - j - 4*j - 1 - 5. Let o be k(6). Let b(u) = u + 42. Calculate the remainder when b(o) is divided by 15.
12
Let z = -99 - -193. Suppose 2*m = 21 + 27. What is the remainder when z is divided by m?
22
Suppose 8*p - 215 = 3*p - 3*d, 5*d + 25 = 0. Calculate the remainder when p is divided by 12.
10
Suppose -7*x + 86 + 33 = 0. What is the remainder when x is divided by 11?
6
Suppose -2*s = -4*s - 28. Let t = -6 - s. What is the remainder when 30 is divided by t?
6
Suppose 0 = 5*w - 33 - 37. What is the remainder when w is divided by 10?
4
Let r = -39 - -64. What is the remainder when 47 is divided by r?
22
Let l(x) = -x**2. Let r be l(-1). What is the remainder when (99 - 1)*(-2)/(-4) is divided by 18 + (r - 0/3)?
15
Let j = -16 + 101. Suppose -f - 3*v + 7 = -28, v = -4*f + j. Calculate the remainder when 58 is divided by f.
18
Suppose 36 = -w + 4*w. Let b = 56 - 33. What is the remainder when b is divided by w?
11
Suppose -5*c = 3*a - 26, -2*c + 1 = -2*a - 3. Calculate the remainder when c is divided by 2.
0
Let u(n) = -n + 3. Let i be u(6). Calculate the remainder when (i + 6)/((-3)/(-34)) is divided by 12.
10
Suppose 0 = -0*y + y - 5. Let z(r) = r**2 - 6*r + 7. Let i be z(y). Suppose 0 = -3*u + i*u + 15. Calculate the remainder when u is divided by 6.
3
Let h(d) = -2*d + 1. Let l = -1 + -1. Let r be h(l). Suppose 5*f - 5 = r. What is the remainder when 3 is divided by f?
1
Let z(m) = -m**3 + 9*m**2 - 5*m - 10. Suppose -126 = -w - 8*w. What is the remainder when z(7) is divided by w?
11
Calculate the remainder when 7 is divided by (-30)/(-45) - 32/(-6).
1
What is the remainder when 7/(21/135) - 0 is divided by 16?
13
What is the remainder when 76 is divided by (-2)/(2*(-1)/20 - 0)?
16
Let y = -7 - -12. Suppose -8 - 82 = -y*j. Suppose 5*c - 4*d = -6*d + 340, -2*c - 4*d + 120 = 0. What is the remainder when c is divided by j?
16
Suppose 4*o + 2 = -w - 0, -4*o = 5*w + 10. Calculate the remainder when 25 is divided by w - -12 - (-2 - -3).
7
Let h(f) = f**2 - 11*f + 12. Let x be h(10). Suppose -d = 5*v + 18, d = -2*d - x*v - 2. Calculate the remainder when 2 is divided by d.
0
Let r = -133 - -290. Calculate the remainder when r is divided by 40.
37
Suppose 5*i = 28 - 3. Let v(k) = -3 + k + 5 + i. What is the remainder when 13 is divided by v(0)?
6
Let i = -11 + 14. Calculate the remainder when i is divided by 1.
0
Suppose -3*o = -3*x + 21, 3*o - 42 = -5*x + o. Calculate the remainder when 29 is divided by x.
5
Let u = -46 + 65. Suppose 4*w - 3*w = 36. Calculate the remainder when w is divided by u.
17
Suppose 23 = 2*l + 19. What is the remainder when l is divided by (1/(-1))/(1 - 2)?
0
What is the remainder when (-51)/6*(3 - 13) is divided by 22?
19
Suppose 8*k - 5*k - 51 = 0. What is the remainder when 82 is divided by k?
14
Let r = -11 + 31. Suppose r + 6 = j. Calculate the remainder when j is divided by 14.
12
Let a(u) = -2*u**2 + 29*u - 27. Calculate the remainder when 4*((-198)/(-8))/3 is divided by a(13).
9
Suppose -4*d = -2*d. Let t be d/(-1 + (0 - 0)). Suppose t = 5*z + f - 6, -2*z - 4*f = -0*z + 12. What is the remainder when 6 is divided by z?
0
Let a = 54 + -34. What is the remainder when 99 is divided by a?
19
Let q(d) = d**3 + 5*d**2 - 3*d - 10. Calculate the remainder when 8 is divided by q(-5).
3
Let r be (1 - -22) + (1 - 1). Let l = -47 - -41. Let i = r + l. What is the remainder when i is divided by 6?
5
Let b be (-23)/(-3) - 1/(-3). Let x(z) be the first derivative of -z**3/3 + 9*z**2/2 + 5*z + 5. Calculate the remainder when 50 is divided by x(b).
11
Suppose 8*o = 4*o + 80. Let r = 64 - o. Calculate the remainder when r is divided by 15.
14
Let l(o) = 2 - 2 + 2*o + 3. Let y = 58 + -30. Calculate the remainder when y is divided by l(6).
13
Suppose -8*r + 36 = -4*r. Suppose 0 = 3*a - 3, 2*v - 4*a + 56 = 4*v. What is the remainder when v is divided by r?
8
Let z = -26 - -61. What is the remainder when z is divided by 13?
9
Let a(j) = -12*j - 102. Suppose -115 = -3*m + 4*z, -4*m = -2*z - 0*z - 140. What is the remainder when m is divided by a(-10)?
15
Let v(l) = l**2 + 5*l. Let u be v(-4). Let m be 38*u/(8/(-3)). Suppose 0 = -z + 4*z - m. Calculate the remainder when 55 is divided by z.
17
Suppose -4*o + 12 = 0, 4*s - 55 = o + 2*o. What is the remainder when 46 is divided by s?
14
Let s(r) = r**2 - 3*r. Let v be s(4). Suppose -2*j = -v*j + 12. What is the remainder when 9 is divided by j?
3
Let b = 1 + -1. Suppose -40 = -5*g - b. What is the remainder when 15 is divided by g?
7
Let w = -132 + 32. Let d = 170 + w. What is the remainder when d is divided by 24?
22
Let h(w) = -18*w + 2. Let y be h(5). Calculate the remainder when 43 is divided by 1/((-2)/y*4).
10
Calculate the remainder when (84/(-15))/(8/(-20)) is divided by 4.
2
Suppose 5*p = -0*p + 5. Suppose 5*c - p = 4*i - 194, -3*i + 147 = -3*c. What is the remainder when i is divided by (-1001)/(-55) + ((-27)/(-15) - 2)?
16
Let k(n) = -n**3 + n + 5. Let o be k(0). Suppose 2*v - 5 = o. Suppose -j = -1, -3*j = 6*c - c - 48. What is the remainder when c is divided by v?
4
What is the remainder when 31 is divided by (-172)/(-16) + (-2)/(-8)?
9
Suppose -4*z + 3*m + 8 = -15, 3*z - 3*m = 18. Let i be (-26)/4 - (-5)/(-10). Let g = i - -20. What is the remainder when g is divided by z?
3
Suppose 4*f - 25 = -4*u + 155, f + 4*u - 33 = 0. Suppose 0 = -5*z + 25, -c - 3*z + 2*z = -f. Calculate the remainder when c is divided by 15.
14
What is the remainder when 38 is divided by (-1)/((-33)/30 - -1)?
8
Let d = -60 - -31. Let m = -21 - d. What is the remainder when 31 is divided by m?
7
Let b(n) = 6*n**2 + 2*n - 5. What is the remainder when b(-3) is divided by (-33)/((-6)/(-2))*-1?
10
Suppose -3*l = -6*l + 6. What is the remainder when l + 1/((-1)/(-36)) is divided by 20?
18
Suppose 15 = 3*r - 3*x, 0*x - 10 = 5*x. Let f = -1 - -8. Calculate the remainder when (-2 + 3)/(1/f) is divided by r.
1
Suppose 2*h = -f - 13 + 45, 4*h - 2*f = 64. What is the remainder when h is divided by 12?
4
Suppose -4*q + 48 - 28 = 0. Calculate the remainder when 10 is divided by q.
0
Suppose p + 103 = -4*x + 5, 30 = -x - 3*p. Calculate the remainder when 16 is divided by (x/14)/(4/(-14)).
4
Let d be -2*(-1 + 2 + -3). Suppose 0 = -d*p + 5*p - 5. Calculate the remainder when p is divided by 3.
2
Let b(h) = h**2 - 4*h + 5. Suppose 0 = -4*f - 4*i + 92, -f + 1 = -3*i - 2. Calculate the remainder when f is divided by b(5).
8
Suppose -u + 4*u - 87 = 0. Suppose 29 = 3*k - 19. What is the remainder when u is divided by k?
13
Let f be (-1)/((-2)/32)*1. Calculate the remainder when 36 is divided by f - 2/(-2)*3.
17
Let a(w) = -w**2 - 15*w - 3. Let d = 15 + 3. Calculate the remainder when a(-6) is divided by d.
15
Suppose 20 = b + c, 3*b - 85 = 5*c - 3*c. Calculate the remainder when b is divided by 7.
4
Let l(n) = 12*n - 16. What is the remainder when l(9) is divided by 16?
12
Suppose -27 = -3*i - 6*i. Calculate the remainder when 0 + 0 + 5/1 is divided by i.
2
Suppose -4*z - 3 = 3*r + 3, 2*r + 4 = -5*z. Suppose 5*f + 4*h = 19, -f - 3*h - 5 + 0 = z. Calculate the remainder when 27 is divided by f.
6
Let u = 13 - -7. Suppose -4*f = -16 - 4. Let m(k) = k**3 - 4*k**2 - 3*k - 3. What is the remainder when u is divided by m(f)?
6
Suppose -2*y + 3*c = -47, -c + 70 = 4*y + c. Calculate the remainder when y is divided by 5.
4
Let h(t) = 2*t**3 - 6*t**2 - 12*t - 2. What is the remainder when 74 is divided by h(5)?
