2*g - 3*c - 23. Let q = -28 + 44. Calculate the remainder when q/((-28)/8 + 4) is divided by g.
10
Let b be ((-1)/((-3)/34))/(4/60). Suppose 5*n + 5*c = b, 17 = n + 4*c - 5. What is the remainder when n is divided by 10?
8
Let b(v) be the third derivative of -v**6/120 - v**5/6 + 5*v**4/12 + 5*v**3/6 + 13*v**2. Calculate the remainder when b(-11) is divided by 9.
7
Suppose 4*m = 73 + 39. Suppose k - m = 7. Calculate the remainder when 137 is divided by k.
32
Suppose -2*k + 0*k = 2. Let h = 54 + -29. What is the remainder when h is divided by k/2*-16 + -1?
4
Suppose 3172 + 26852 = 36*z. What is the remainder when z is divided by 38?
36
Suppose 44*p - 835 - 89 = 0. Let l = 169 - 86. What is the remainder when l is divided by p?
20
Let l(w) = -3*w**3 - 4*w**2 - 5*w - 9. Calculate the remainder when l(-4) is divided by 71.
68
Suppose 10*p - 155 = 35. Suppose 0 = -f + 93 - 19. What is the remainder when f is divided by p?
17
Suppose 0 = 5*f - 2 + 12. Let s(j) = 2*j + 8. Calculate the remainder when s(6) is divided by 5 + (0 - (f - 0)).
6
Suppose -n - 5*l + 23 = n, 3*n - l - 9 = 0. Suppose 12 = f - 32. Suppose 2*z - f = n. Calculate the remainder when 69 is divided by z.
21
What is the remainder when (-8401)/(-3) + 1 - 6/(-9) is divided by 33?
30
Let z(c) = -c**2 + 6*c + 6. Let g be z(6). Suppose y - g = -y. Suppose -8*m + 5*m = -30. Calculate the remainder when m is divided by y.
1
Let q(c) be the third derivative of -c**5/60 + 5*c**4/6 + c**3/6 + 3*c**2. Calculate the remainder when q(17) is divided by 9.
7
Suppose 0 = 4*s - 3*l - 30, 4*l = 4*s + 2*l - 28. What is the remainder when 7 is divided by s?
1
Let o = 91 + -62. What is the remainder when 228 is divided by o?
25
Calculate the remainder when ((-52)/(-156))/(1/696) is divided by 228.
4
Suppose 21 = -2*a + 247. Calculate the remainder when a is divided by 61.
52
Let t(n) = -n**2 + 63*n - 353. Calculate the remainder when t(50) is divided by 7.
3
Suppose 7*d - 54 - 30 = 0. Calculate the remainder when 143 is divided by d.
11
Let g(h) = -2*h**3 - 3*h - 6. Let r be g(4). Let p = -83 - r. What is the remainder when p is divided by 16?
15
Suppose 14 = 8*u - 7*u. Suppose 6*n = 5*n + u. Calculate the remainder when 69 is divided by n.
13
Suppose 42 = -11*v + 13*v. Let s = v + 2. Calculate the remainder when s is divided by 10.
3
Let n = -176 - -186. What is the remainder when 75 is divided by n?
5
Suppose 0*w = w - 5*n - 93, 25 = -5*n. Suppose 3*y + 3 = -g - 10, -w = 4*g + 4*y. Let a = g + 44. Calculate the remainder when a is divided by 13.
12
Let f(x) = -7*x - 2. Suppose 505 + 215 = 80*z. What is the remainder when f(-4) is divided by z?
8
Suppose 54*f = 128*f - 3330. What is the remainder when 142 is divided by f?
7
Calculate the remainder when 286 is divided by 2*(-222)/(-12) - -9.
10
What is the remainder when (1760/5)/8 + 4*-1 is divided by 23?
17
Let x = -36 + 41. What is the remainder when (26/39)/(4/114) is divided by x?
4
Suppose 0 = -x + 2*x + 40. Let i be (-3 - -3 - 0) + x. Let h = i - -90. What is the remainder when h is divided by 13?
11
Suppose -37*z = -23*z - 336. Calculate the remainder when 332 is divided by z.
20
Let o be (-10)/(-6) + (-72)/(-54). Suppose 3*b - 96 = o*m, 8*b - 110 = 3*b - 5*m. What is the remainder when 53 is divided by b?
26
Let a(c) = 58*c - 17. Calculate the remainder when a(2) is divided by 21.
15
Suppose 4*u - 112 = 5*g + 51, 5*u + 5*g = 260. Suppose -7*w + 16 = -5*w. What is the remainder when u is divided by w?
7
Let n be (-12 - -10) + 50 + 0. Let z = 168 - 100. Let g = z - n. What is the remainder when 77 is divided by g?
17
Suppose 14*p - 3*p = 33. What is the remainder when 45 is divided by p?
0
Let g(n) = -4*n - 3. Let u be 12/8*(3 - 1). Calculate the remainder when (-1)/(1 - u/2) is divided by g(-1).
0
Suppose 10 + 25 = 5*y. Let l(a) = -3*a + 10. Let n be l(y). Let z = n + 23. Calculate the remainder when 47 is divided by z.
11
What is the remainder when 626 is divided by (-8)/(-2) + (-10 - 3)/(-1)?
14
Let h(i) = -2*i**3 - 12*i**2 - 18*i - 9. What is the remainder when 80 is divided by h(-5)?
18
What is the remainder when (-11417)/(-70) - (-1)/(-10) is divided by 42?
37
Let p = -1486 - -1645. What is the remainder when p is divided by 27?
24
Let r(o) = -o**2 + 14*o + 41. Calculate the remainder when 119 is divided by r(12).
54
Suppose 3*l = -l - 16. Suppose -10*m - 280 = -14*m. Calculate the remainder when m is divided by (-8)/(-16) + (-70)/l.
16
Let q = -99 + 99. Suppose q = 4*x + 11*u - 8*u, -2*u = 8. What is the remainder when 10 is divided by x?
1
Let t = 53 + 19. Suppose 2*v = -5*v + 133. What is the remainder when t is divided by v?
15
Let r(p) = 11*p**2 - 59*p - 18. Let d = 14 + 2. Calculate the remainder when r(6) is divided by d.
8
Suppose 3*y = j - 86, -4*j + 7*j = 5*y + 250. Let q(x) = x**3 + 7*x**2 + 2*x + 3. What is the remainder when j is divided by q(-6)?
26
Let c(x) = -x**2 - x + 6. Let u be c(-3). Calculate the remainder when 61 is divided by u + (-7)/((-28)/64).
13
Let w = 196 + -115. Calculate the remainder when w is divided by 43.
38
Suppose 0 = -5*z + 5*x + 120, -5*z + 66 = -3*x - 58. Let u(f) = 4*f - 2. Calculate the remainder when z is divided by u(3).
6
Let m(i) = 2*i**2 - 2. Let n be m(-2). Calculate the remainder when 3/(n/(-4)*(-8)/316) is divided by 28.
23
Let j = 75 - 55. Calculate the remainder when 159 is divided by j.
19
Suppose 179 = 20*i - 61. What is the remainder when 39 is divided by i?
3
Let o = 90 + -53. Suppose 0*y + 153 = -5*y + p, y - 3*p = -25. Let k = -18 - y. What is the remainder when o is divided by k?
11
Let l(p) = 8*p - 5. Let o be (-20)/15*-6*6. Suppose 0 = 3*n - 6*n - 3*v + o, -3*n + 2*v = -28. What is the remainder when l(5) is divided by n?
11
Let y(j) = j**3 + 43*j**2 - 182*j + 293. Let m be 1/(-2) + 2/4. Suppose -2*i + 40 + 2 = m. Calculate the remainder when i is divided by y(-47).
10
Suppose 0 = 3*p - 0*p - 312. Suppose -4*h = 5*b - 135 + 45, b - 12 = -2*h. Let a = -1 + b. What is the remainder when p is divided by a?
20
Calculate the remainder when 783 - (18 - 9 - 7) is divided by 49.
46
Suppose -2*m - 7*m = -2*m. Suppose 4*x + 12 = m, 2*x + 44 = 2*d - 2*x. What is the remainder when -2*3*-4 - -3 is divided by d?
11
Let i(r) = -9*r + 1. Let u = 31 - 23. Calculate the remainder when u is divided by i(0).
0
Suppose 2*u - 4*u + 3*f = -23, -3*f - 3 = 0. What is the remainder when (-825)/(-50) + 18 + (0 - (-21)/6) is divided by u?
8
Let z(u) be the first derivative of -u**4/4 + u**2 - 2*u - 7. What is the remainder when z(-4) is divided by 30?
24
Let p(z) = 5*z**3 - 12*z**2 - 2*z + 2. What is the remainder when p(4) is divided by 25?
22
Suppose 10*d + 264 = 2*d. Let a = -15 - d. What is the remainder when 52 is divided by a?
16
Calculate the remainder when 8820/(-40)*((-62)/14 - -1) is divided by 11.
8
Suppose 3*v + 5*b = -161, -5*v + 3*b = 33 + 224. Let a = v - -95. What is the remainder when a is divided by 23?
20
Let g(t) = 9*t + 10. Let y be g(-6). Let k = -41 - y. What is the remainder when 12 is divided by k?
0
Suppose 4*d - 3*d = 0, -2*g + 3*d = -30. Suppose -168 = -4*c + 4*q, 0 = -3*c + 2*q - 0*q + 124. Calculate the remainder when c is divided by g.
10
Let r(s) = -10*s + 1. Let b be r(18). Let j = b - -337. What is the remainder when j is divided by 23?
20
Let h(v) = 19*v**2 + 2*v - 14. Calculate the remainder when h(2) is divided by 37.
29
Suppose 538*n + 4034 - 26254 = 11674. Let a(g) = -2*g - 2. What is the remainder when n is divided by a(-5)?
7
Let i(a) = -a**3 - 2*a**2 - 4*a - 5. Calculate the remainder when 135 is divided by i(-2).
0
Calculate the remainder when -8 + 6 - -231 - 4 is divided by 12.
9
Let u(v) = 5*v**2 + 2*v + 1. Let y be u(-1). Suppose t - 11 = -y*x, -4*x = x - 3*t - 1. Suppose 0 = x*p - 11 + 1. What is the remainder when 17 is divided by p?
2
Let f(c) = 10*c + 36. Let b(p) = p. Let k(y) = 5*b(y) - f(y). What is the remainder when k(-11) is divided by 4?
3
What is the remainder when 1/4 - (-559)/52 is divided by 2?
1
Suppose -9266 = -16*y + 670. Calculate the remainder when y is divided by 78.
75
Let i(t) = -t**3 - 15*t**2 - 13*t + 31. What is the remainder when 118 is divided by i(-14)?
16
Let p be (-2)/(-8)*(0 - -20). Suppose -3*x + 16 = 2*k - 5*x, -p*k = 4*x - 