 the remainder when m is divided by 12?
11
Suppose 3*c = -q + 176, 0 = c + c + 4*q - 134. Suppose 2*g - c - 1 = 0. Calculate the remainder when g is divided by 8.
5
Let b(p) = 56*p - 1. Let h(r) = -r + 18. What is the remainder when b(1) is divided by h(4)?
13
Let y = -73 - -99. Calculate the remainder when 51 is divided by y.
25
Let l = 28 + 39. Let a = l - 34. What is the remainder when a is divided by 9?
6
Suppose 7*z - 21 - 56 = 0. What is the remainder when 31 is divided by z?
9
What is the remainder when 39 is divided by -3 + 0 + 11 - -3?
6
Suppose -3*y + 3*c + 24 = 0, y - 4*c - 10 = -y. Calculate the remainder when 18 is divided by y.
7
Let n(p) be the second derivative of -2*p**2 - 3*p - 1/3*p**3 + 0. What is the remainder when 22 is divided by n(-6)?
6
Suppose -3*d = d - 36. Let h(f) = -f + 6. What is the remainder when d is divided by h(3)?
0
Calculate the remainder when -1*(0 + 103/(-1)) is divided by 21.
19
Suppose 2 - 37 = -5*u. Let s = 7 + 14. Suppose -3*k + b + 39 = 0, 0 = -3*k - 8*b + 3*b + s. What is the remainder when k is divided by u?
5
Let i(d) = -d**3 + 13*d**2 - 5*d - 5. Let z be i(12). Suppose 4*g - 144 = -4*c, 2*g = -5*c + z + 98. What is the remainder when c is divided by 13?
9
Let c(w) be the first derivative of w**4/4 - w**3/3 + 2*w - 1. Let x(a) = a**2 - 5*a + 5. What is the remainder when x(6) is divided by c(2)?
5
Let q = 12 + -22. Let b(i) = i**2 + 9*i - 8. Let m be b(q). Calculate the remainder when 45/m + (-4)/(-8) is divided by 6.
5
Let o(c) = -c**3 - 6*c**2 - 5*c - 1. Let v be o(-5). Let p = v - -1. Suppose p = -m - m + 38. What is the remainder when m is divided by 7?
5
Suppose 3*w - 3*z + z = 25, 15 = -2*w - 5*z. Suppose 0*l = -l - 4*a - 3, a + 48 = w*l. What is the remainder when l is divided by 5?
4
Let i = 1 + -2. Let q = i - -3. What is the remainder when 4*2/4*5/2 is divided by q?
1
Suppose -75 = -6*j + j. Let g(f) = f + 3 - 3 + 8*f**3 - 2 + f. What is the remainder when j is divided by g(1)?
7
Let z = -96 - -114. Calculate the remainder when z is divided by 5.
3
Suppose 0 = 5*y + 5*d - 65, -84 = -4*y - d + 5*d. What is the remainder when 48 is divided by y?
14
Suppose 0 = h - 2*r - 8, -3*r - 32 = -2*h - 2*h. What is the remainder when h is divided by 5?
3
Let y(u) = -10*u - 97. Calculate the remainder when y(-17) is divided by 3.
1
Suppose 20*g = 25*g - 140. Calculate the remainder when 83 is divided by g.
27
Calculate the remainder when (16 - 10)*(15 + 1) is divided by 33.
30
Let u(z) = -2*z + 5. Let c be u(5). Let v(y) = -10*y - 5. Let w be v(c). Let m = w + -21. What is the remainder when m is divided by 13?
11
Let c = -1 + 0. Let i = c - -12. Calculate the remainder when 42 is divided by i.
9
Suppose -2*b + 6*b = 76. Let s = 107 - 70. Calculate the remainder when s is divided by b.
18
Let c = 13 + -8. Suppose -c*j = 2*q - 19, 1 = 2*j + 4*q + 3. What is the remainder when j is divided by 2?
1
Let z = 1 - -3. Let r = 1 + z. What is the remainder when 1/(-1 - (-10)/9) is divided by r?
4
Suppose -6*p = -75 - 417. Calculate the remainder when p is divided by 17.
14
Calculate the remainder when 34 is divided by 12*(-1 + 5/2).
16
Suppose -3*u + 5*u = 0. Suppose u = 4*f - 73 - 39. Suppose g - f = -4*i, 5*g + 4 = -i + 5*i. Calculate the remainder when 11 is divided by i.
5
Suppose -2*m + 735 = 5*m. Let s(t) = t**3 + 4*t**2 + 3*t. Let k be s(-2). Suppose -k*d - d + m = 0. Calculate the remainder when d is divided by 12.
11
Suppose -3 = -2*w + 1. Suppose m = 3*p + 23, -4*m = -p - w*p - 56. Calculate the remainder when m is divided by (-52)/(-14) + (-24)/(-84).
3
Let v(u) = u**2 - 5*u. Let y be v(4). Let h = 17 + y. Suppose -5*t - 4*k + 6 = -23, -2*k + 22 = 4*t. Calculate the remainder when h is divided by t.
3
Suppose -36*m + 37*m + 3*k = 35, 0 = m + 5*k - 45. Suppose g = h - 79, -g - 2 = -0*g. What is the remainder when h is divided by m?
17
Let r(u) = u**3 + u**2 - u - 6. Let a be r(0). Let x = a + 17. Suppose 3*m - 2 = w + 6, -4*w = -2*m - 8. Calculate the remainder when x is divided by w.
3
Let l(d) be the first derivative of -d**2 - 9*d - 2. Let t be l(-6). Let a = 14 - t. Calculate the remainder when 21 is divided by a.
10
Let u(y) = 83*y - 1. Suppose 5*q - 22 - 13 = 0. Let h be u(q). What is the remainder when h/16 + (-2)/8 is divided by 13?
10
Let i(g) = 18*g**2 + 4*g - 4. What is the remainder when i(2) is divided by 20?
16
Let d = -18 + 19. Let q(r) = -r + 10. Let h be q(6). Suppose -l - h = -2*m + 1, 0 = 4*l - 5*m + 11. Calculate the remainder when l is divided by d.
0
Suppose g = -4*g - 5. Let d be (0/(-2) + 1)/g. Calculate the remainder when 35 is divided by 2 + d - (-9 - 2).
11
Let m(a) = -a**2 + 2. Let u be m(2). Let f be 2/8*u*-226. Suppose -102 = -5*d + f. Calculate the remainder when d is divided by 15.
13
Suppose 0 = -0*o + 5*o - 40. Suppose -w + o = -7. Calculate the remainder when (-2 + 3)*1*w is divided by 8.
7
Let c = 80 - 29. Let n(f) = f + 19. What is the remainder when c is divided by n(-6)?
12
Suppose -54 = -u - 3*v, -4*v + 2*v - 92 = -2*u. What is the remainder when u is divided by 26?
22
Suppose -67 = 5*y - 6*y. Calculate the remainder when y is divided by 37.
30
Let j = 36 + -21. Suppose 6*s = 2*s + 156. Calculate the remainder when s is divided by 222/j - (-12)/(-15).
11
Let p = -64 + 44. Let c = p - -29. Let i(a) = a**2 + 4*a. Calculate the remainder when c is divided by i(-5).
4
Let r = 34 - 79. Let w = r - -81. Suppose 5*u - 2*t + w = 164, -3*u = -t - 76. What is the remainder when u is divided by 13?
11
Let u = 23 - 11. Suppose -2*s - 5*p = s - 47, -s = -2*p - u. Let i = s - 3. What is the remainder when i is divided by 6?
5
Let m = 101 - 63. What is the remainder when m is divided by 8?
6
Let u = -4 - -20. What is the remainder when 45 is divided by u?
13
Let w be 3/(-12)*0 - -22. Suppose -v + 2*v - w = 0. What is the remainder when v is divided by 12?
10
Calculate the remainder when 15 + (2/6)/(2/(-6)) is divided by 5.
4
Suppose 4*r - 6*r = -16. What is the remainder when 30 is divided by r?
6
Let v(b) = -b**2 + 12*b - 9. Calculate the remainder when v(9) is divided by (6/(-15))/((-1)/25).
8
Let o = 26 - 13. Let r be (-16 + 1)*3/(-9). Suppose r = 4*p - 23. Calculate the remainder when o is divided by p.
6
Let p(w) = -3*w - 3. Let r = -8 + 14. Suppose -50 = 4*o - r*o. Calculate the remainder when o is divided by p(-4).
7
Suppose -5*w = -5*z, -24 = 4*z - z + 3*w. Let o = 56 + z. Suppose 2*d = 10, -r + d + 8 = -5. What is the remainder when o is divided by r?
16
Suppose 5*l - 6 = 2*g, 6*g + 3 = 4*l + 5*g. Suppose l*m = -m + 5. What is the remainder when (-2)/(m/(225/(-6))) is divided by 8?
7
Let u = 2 - -1. Suppose -3*f - f - 18 = n, 2*n = 2*f - 46. Let y = n - -27. Calculate the remainder when y is divided by u.
2
Let s(u) = -u**2 + 6*u + 3. Let n be s(6). Calculate the remainder when 27 is divided by 13 - n*(-4)/6.
12
Let n(m) = 22*m - 10. Let v be n(7). Let g = v - 99. Calculate the remainder when g is divided by 24.
21
Let n = -3 - -11. Suppose -4*p = -2*p - 28. What is the remainder when p is divided by n?
6
Suppose -2*j - 12 = -6*j. Let c be (3/2)/j*8. Suppose c*l - 39 = l. What is the remainder when 37 is divided by l?
11
Let d = 146 - 103. What is the remainder when d is divided by 15?
13
Let z(f) = 8*f. Let v(x) = 6*x**2 + 2*x. Let j be v(2). Suppose r + r = j. Calculate the remainder when r is divided by z(1).
6
Let m = -3 + 6. What is the remainder when 9 is divided by m?
0
Let h = -9 + 14. Calculate the remainder when 22 is divided by h.
2
Suppose -2*q - 3 = -q + 3*o, -4*o = -4*q + 4. Suppose q*r = -4*r + 60. What is the remainder when 57 is divided by r?
12
Let h(d) = d**3 + 6*d**2 + 6. Let c = -24 + 41. Calculate the remainder when h(-5) is divided by c.
14
Suppose 15 = -6*h + 63. What is the remainder when h is divided by 5?
3
Let d be (1 + 4)*(-18 + 19). Suppose 50 = 3*b - 2*b - d*o, -5*o = 4*b - 200. What is the remainder when b is divided by 13?
11
Let w = 1 + 9. Suppose -5*x = 3*o - 137, 4*x - 4*o - 80 - 36 = 0. Calculate the remainder when x is divided by w.
8
Let c be 10/(-4)*-1*2. Suppose -c*s + 42 = -2*s. Suppose -5*z + 61 = -s. Calculate the remainder when z is divided by 4.
3
Let f be (-122)/18 + (-2)/9. Let g = -5 - f. Calculate the remainder 