er when 72 is divided by p.
12
Let a(k) = -k - 10. Let f be a(-18). Calculate the remainder when ((-4)/f - -3)*24/3 is divided by (-4)/6*3 + 14.
8
Let n(h) = -h**2 - 3*h + 4. Let o be n(-4). Let q = 3 + 13. Let x = q - o. Calculate the remainder when x is divided by 5.
1
Let t be -1 + (-7)/(28/(-12)). Suppose -52 = -4*j + t*b, 5*b = -j - 3*j + 66. Suppose -3*h = -72 - 6. What is the remainder when h is divided by j?
12
Calculate the remainder when (2/8)/(29/42340) is divided by 87.
17
Let v(m) = 4*m**2 + 24*m + 14. What is the remainder when v(-7) is divided by 11?
9
Let o(m) = -m**2 - 19*m - 15. Let w be o(-19). Let b = w + 49. What is the remainder when b is divided by 12?
10
Suppose 11*b = 14*b + 15. Calculate the remainder when 56 is divided by 1/b - (-11)/(220/304).
11
Suppose -y + 45 = 4*y. Let s = 37 + 0. Let n = s + -13. Calculate the remainder when n is divided by y.
6
Let h = -23 + 33. Suppose 3*z - 15*z = -36. What is the remainder when h is divided by z?
1
Let c = -470 - -478. What is the remainder when 90 is divided by c?
2
Let q = 47 + -23. What is the remainder when 45 is divided by q?
21
Let r(h) = 5*h**3 + 14*h**2 + 7*h + 13. Let q(c) = 6*c**3 + 15*c**2 + 6*c + 14. Let l(n) = 4*q(n) - 5*r(n). Calculate the remainder when 25 is divided by l(-9).
7
Let l = 57 - 53. Let o = 45 + -40. Calculate the remainder when o is divided by l.
1
Let j(k) = 6*k**2 + 6*k - 22. What is the remainder when 123 is divided by j(2)?
11
What is the remainder when 59 is divided by (-2)/5*3*90/(-4)?
5
What is the remainder when 104 is divided by 2/(-1 + 7) - (-1116)/54?
20
Suppose 2*q - 3*q - 49 = 0. Let l = -29 - q. What is the remainder when 2/(-8) + 685/l is divided by 9?
7
Let h(b) = -b**3 - 6*b**2 - 5*b - 21. Calculate the remainder when 42 is divided by h(-6).
6
Suppose 0 = -5*m + 1 - 1. Calculate the remainder when 165/(-22)*(68/(-6) - m) is divided by 29.
27
What is the remainder when 32 is divided by (-76)/(-133) + (-20)/(-14) - -15?
15
Suppose -3*w = 2*w, 4*m + 5*w = 144. Suppose -m = -2*b - b. Calculate the remainder when 45 is divided by b.
9
Let r(a) = -15*a - 49. Let t be r(-12). Let j = t - 85. What is the remainder when j is divided by 12?
10
Let y(c) be the first derivative of -81*c**4/4 - c + 2. Let i be y(-1). Suppose -30 - i = -5*x. What is the remainder when x is divided by 6?
4
Let x be (-3)/5*(-10)/(-2). Let h(k) = -13*k - 5. Suppose -18 = -r + 2*g, 0 = -4*r + 3*r - g + 18. What is the remainder when h(x) is divided by r?
16
Suppose 3 + 13 = 3*m + i, -4*m = i - 22. Suppose k + 3*j = 0, 2*j = k + m*j. Suppose k = -3*a - 0*a + 24. What is the remainder when 21 is divided by a?
5
Let t = 1145 + -971. Calculate the remainder when t is divided by 34.
4
Suppose -2*c - 676 = -6*c. Let b = -46 + c. Calculate the remainder when b is divided by 42.
39
Calculate the remainder when 1064 is divided by 2/(-6 + (-992)/(-164)).
39
Calculate the remainder when (178/(-6) - -6)/((-2)/12) is divided by 56.
30
Calculate the remainder when 46 is divided by 46/1 + (-28)/4.
7
Let k = -24 - -4. Let z = k - -21. What is the remainder when z is divided by 1?
0
Let s = -14 - -8. Let o(j) = j**3 + 6*j**2 - 6*j - 8. Let a = -45 - -55. What is the remainder when o(s) is divided by a?
8
Suppose -2*t + 3*z = -11, 3*z - 1 = 2*z. Suppose -19 = -5*d - 3*s, -5*d - 2*s + 3*s = -t. Suppose 6 = d*r - 0. What is the remainder when 7 is divided by r?
1
What is the remainder when 882 is divided by (-3 - (-15)/6)/(1/(-30))?
12
Suppose 4*z = -0*z - 12, 5 = s - 2*z. Calculate the remainder when s - -72 - (-8 + 7) is divided by 15.
12
Suppose 0 = u + 11 - 8. Calculate the remainder when 1220/15 + (-2)/u is divided by 22.
16
Let x = -590 - -726. Calculate the remainder when x is divided by (-93 + 1)*5/(-10).
44
Let p = -44 - -64. Calculate the remainder when p is divided by -2 - (-20 - (-6 - 1)).
9
Suppose 3*s + 15 = 0, -2*d - 3 = -0*d + s. Let k(v) = 2 - 12*v**3 - v**2 + 0 + 26*v**3 - d. What is the remainder when k(1) is divided by 4?
2
Let f be (-4)/12 - 181/(-3). Let h = f - 56. Calculate the remainder when 15 is divided by h.
3
Suppose -4*t = 4*i - 32, 0 = 13*i - 11*i + t - 14. Suppose 0*n = 5*n - 100. Calculate the remainder when n is divided by i.
2
Let i = -22 + 192. Suppose i = 16*c - 11*c. Calculate the remainder when c is divided by 9.
7
Let r(v) = 7*v**2 + 35*v - 8. What is the remainder when r(-6) is divided by 10?
4
Let t(x) = 9*x + 4. Let f(z) = 10*z + 3. Let u(v) = -4*f(v) + 5*t(v). What is the remainder when 213 is divided by u(7)?
41
Let t(r) = r**2 - 20*r - 94. What is the remainder when 7 is divided by t(24)?
1
Let l(a) = -a**3 - 31*a**2 + 31*a - 10. Calculate the remainder when 42 is divided by l(-32).
20
Let j be (1395/(-36))/((-1)/12). Let g = -100 + j. Suppose 0 = 5*c + 19 + 6, -5*z + g = -3*c. Calculate the remainder when z is divided by 18.
16
Suppose -1650 + 2392 = 7*l. Suppose 78 = 4*k + 6. What is the remainder when l is divided by k?
16
Let z = -56 - -609. What is the remainder when z is divided by 37?
35
Let v(x) = -2*x + 53. Let k be (1 + -6)*(-10)/25. Suppose 8 = k*i - 10. What is the remainder when v(18) is divided by i?
8
Let u be (8/6)/((-6)/(-117)). Let f = 31 - u. Calculate the remainder when 43 is divided by f.
3
What is the remainder when 30 is divided by (-5 - 3)*(-54)/72?
0
Let f = -15 - -20. Let z = 7 - 3. Suppose 169 = f*m - v, -2*m + z*v + 61 = -21. Calculate the remainder when 130 is divided by m.
31
Let j(u) = 3*u**2 + 4*u - 5. Suppose -n + 5*n - 112 = 0. What is the remainder when n is divided by j(2)?
13
Let x = 2 + 17. Suppose -3*j - x = -46. Calculate the remainder when j is divided by 3.
0
Let r = 107 - 91. Calculate the remainder when 83 is divided by r.
3
Suppose -2 = -9*s - 2. Suppose s = -2*b - 4*d + 150, -5*b + 4*b - d + 77 = 0. What is the remainder when b is divided by 8?
7
Suppose 9 - 83 = -2*v + 2*d, -5*v + 225 = 5*d. Suppose -3*n + 4 = -59. Suppose 6*j - 45 - n = 0. Calculate the remainder when v is divided by j.
8
Let o(f) = f**2 + 10*f - 16. What is the remainder when o(6) is divided by 27?
26
Suppose h - 9 = 4*h, -14 = -5*p + 3*h. What is the remainder when p is divided by (-20)/(-9) + -2 + (-7)/(-9)?
0
Suppose 5*p - 2967 = 4*g, -3*p + 1468 = 5*g - 327. What is the remainder when p is divided by 30?
25
Let k(x) = -x**2 + 4*x + 4. Suppose -16*w = -43*w + 378. Calculate the remainder when w is divided by k(4).
2
Let r = 1840 + -1807. Calculate the remainder when 60 is divided by r.
27
Suppose 0 = -4*y + 7 + 5. Let x(g) = 2*g + 6. Calculate the remainder when 22 is divided by x(y).
10
Let w(j) = -j**3 - 4*j**2 - 11*j - 12. Let x = -48 - -80. What is the remainder when w(-6) is divided by x?
30
Suppose -3*i - 6 = 9, -5*x - i + 40 = 0. Suppose x*k + 0*k - 1170 = 0. What is the remainder when k is divided by 12?
10
Suppose -48 + 10 = -2*j - 4*y, -4*y + 77 = 5*j. Let c = -11 + j. Suppose -c*z = 5*i - 5, -2*z = 2*z - 2*i - 70. Calculate the remainder when z is divided by 9.
6
Suppose 627 = 22*f - 781. What is the remainder when 253 is divided by f?
61
Let g(c) = -c - c - 3 - c + c. Let n be g(-3). Calculate the remainder when 232/5 + n/5 is divided by 12.
11
Suppose 4*t - 71 = -2*n - 65, -5*t + 30 = 5*n. What is the remainder when (-7)/((-7)/18) - 1 is divided by n?
8
Let u(j) = 33*j**2. Let h be u(2). Suppose h = 3*m + t, m - 4*t = -m + 74. Let g = 1 - -8. What is the remainder when m is divided by g?
7
Suppose -6*b = -b - 80. Let r = -5 + b. Let j(y) = -y**2 + 15*y + 172. Calculate the remainder when j(22) is divided by r.
7
Let a(h) = 2*h - 17. Let n be a(10). Suppose 5*b - n*b = 6. Calculate the remainder when (1 + 2)/(1/1) is divided by b.
0
Let u = -153 + 279. What is the remainder when u is divided by 123?
3
Calculate the remainder when (5 + -9)*1141/(-28) is divided by 43.
34
Suppose -163 - 79 = -2*i. What is the remainder when i is divided by 2/(-6) - (14440/30)/(-19)?
21
Let c = 59 + -40. Let q be 0 + (-5)/(-25) + 38/10. Suppose -q*i + m + 20 + 28 = 0, 0 = m + 4. Calculate the remainder when c is divided by i.
8
Suppose -4*m + 3*v + 569 = 0, 567 = 4*m - 5*v - 0*v. Suppose -2*x = -3*x + 2*n - 96, 4*n = 0. Let i = x + m. Calculate the remainder when i is divided by 24.
23
Suppose 2*t - 12 = -2*w + 3*w, -w - 2