ppose 124*d - 216*d = -920. Let i(z) = 2*z - 2. Let q be i(2). What is the remainder when (-47)/(q/(-2 + 0)) is divided by d?
7
Let i(q) = 7*q**2 - q - 2. Calculate the remainder when 81 is divided by i(-1).
3
Suppose 214 = 4*j - 202. Suppose j = -10*b + 12*b. Calculate the remainder when b is divided by 14.
10
Let k = 30 + -21. Suppose 4*v = k*v - 80. What is the remainder when v is divided by 9?
7
Let b(y) = 7*y**2 + 58*y + 57. Suppose -r + 24 = r. What is the remainder when r is divided by b(-1)?
0
Suppose -2*v + 31 = z, 2*v - 40 = -5*z - 5. What is the remainder when 239 is divided by v?
14
Let b be ((-30)/25)/(-6*4/80). Let w(y) = y**3 + 6*y**2 + 5*y + 4. What is the remainder when w(-5) is divided by (2 + (-10)/b)*-4?
0
Let j(g) = -g**3 + 16*g**2 + 18. Suppose 0 = 6*h - 129 + 33. What is the remainder when 34 is divided by j(h)?
16
Let w = -110 - -113. What is the remainder when 95 is divided by w?
2
Let b be 1*4/(8/178). Let u = 192 - b. Suppose -4*c = 4*w - 117 - 99, 2*c + w - u = 0. What is the remainder when c is divided by 13?
10
Suppose 0 = 5*i - 26 - 804. Suppose 12*a + i = 14*a. Calculate the remainder when a is divided by 22.
17
Let b = 103 - 2537. Calculate the remainder when (112/(-40))/7 - b/10 is divided by 61.
60
Suppose -3*g = 3 - 33. What is the remainder when (12/16)/((-12)/(-304)) is divided by g?
9
Suppose 9*m - 45 = 6*m. Calculate the remainder when 80 is divided by 6/m - (1 - 416/10).
39
Let d be (-2)/(-11) - (-19624)/(-121). What is the remainder when 225 is divided by 5/(-25) - (-3 + d/10)?
16
Suppose -2*n - 52 = -2*u, -n + 16 = 2*u - 21. Let g(k) = -k**3 - 5*k**2 - 7*k - 6. What is the remainder when u is divided by g(-4)?
3
Let c be 9/3*(-4)/(-6). Suppose -m = 5*u - 81, 3*u - c*u - 13 = 3*m. Calculate the remainder when ((-1269)/(-108))/(-2 - 9/(-4)) is divided by u.
15
Suppose -x + 20 = 5*s + 4*x, -2*s = -2*x - 28. Suppose -5*a + 86 = -s. Let u = 4 + 6. What is the remainder when a is divided by u?
9
Calculate the remainder when 31 is divided by (11 - 11) + (-1 - 7*-3).
11
Suppose -6 = 2*w - 4. Let x be (-4 - w)*200/(-6). Let v = x + -54. What is the remainder when v is divided by 12?
10
Suppose -5*i = 2*l - 2, -4*i + 28 = -2*l + 6*l. Calculate the remainder when 172 is divided by l.
7
Let z(c) = c**3 + 13*c**2 + 12*c + 4. Let i be z(-12). Suppose i*a - 3*q = 82, -4*a + 2*a = -5*q - 48. What is the remainder when a is divided by 12?
7
Let i(z) = -5*z**2 + 4 - 5*z + 4 - 5 - z**3 + 5. Suppose -8*s = -2*s - 114. What is the remainder when i(-6) is divided by s?
17
What is the remainder when 5 is divided by (-9)/(-2)*26/39?
2
Suppose 3*i = -9*i + 492. Calculate the remainder when 325 is divided by i.
38
Suppose 15 = 2*k - 7*k. Let n(c) = -54*c. Let g(y) = 11*y. Let f(x) = 24*g(x) + 5*n(x). What is the remainder when f(k) is divided by 5?
3
Let s = 13 - 11. Let t be -2 - 16/(-2 - s). Suppose 2*o + 15 = -5*i, 0*i = -t*o + i + 15. What is the remainder when 19 is divided by o?
4
Suppose 3*k - 3 - 41 = -2*z, 0 = 3*z + k - 80. Calculate the remainder when 85 is divided by z/(-3)*(-90)/35.
13
Let u(g) = 8*g**2 - 6*g + 38. What is the remainder when u(5) is divided by 21?
19
Suppose 7*q - 141 - 146 = 0. Calculate the remainder when q is divided by 22 - (2 - 1)/1.
20
Suppose -7 = 2*h - 3*h + 4*o, -2 = -h - o. Let w = -3 + 5. Calculate the remainder when h is divided by w.
1
Suppose -6*c + 2*c + 4*m = -104, 4*c + 2*m - 122 = 0. What is the remainder when 105 is divided by c?
18
Let t = 420 + -339. Let j = 0 + 5. Suppose -j*g = -0*v + 2*v - t, -v - 53 = -3*g. What is the remainder when 66 is divided by g?
15
What is the remainder when (-10)/(-8) - 2033/(-76) is divided by 15?
13
Suppose u = 5*u - 4. Let k(c) = 5*c + 3. Let v(m) = m - 1. Let z(x) = k(x) + 4*v(x). What is the remainder when z(u) is divided by 5?
3
Let t be 5 + (-1 + 3 - -2) + -7. Suppose t*n = -j + 49, -4*n - j + 93 = -0*n. Calculate the remainder when 42 is divided by n.
20
Let m(k) = k**3 + 8*k**2 + 11*k + 13. Calculate the remainder when 72 is divided by m(-6).
15
Calculate the remainder when 334 is divided by (3 + 160/4)/((-4)/(-8)).
76
Let a be -5 + -3 + 6 + 1. What is the remainder when 13/2 + (-3)/6 is divided by 2/(a/3 + 1)?
0
Let k(q) = q**3 + 15*q**2 + 13*q - 10. Let y be k(-14). Suppose y*l + 32 = -8. Let j = l + 31. Calculate the remainder when j is divided by 11.
10
Suppose -19*w + 16*w = -117. Suppose -w - 79 = -g. Calculate the remainder when g is divided by 17.
16
What is the remainder when 72 - (-2 - -3)*-8 is divided by 17?
12
Suppose -55*g = -21*g - 850. Calculate the remainder when 220 is divided by g.
20
Let y(m) = -m**3 + 8*m**2 - 3*m + 10. Let s(b) = -10*b**3 - b**2 + 2*b + 1. What is the remainder when s(-2) is divided by y(7)?
35
Let g be (1 - -7)*5/(-5). Let v(d) = d + 14. Calculate the remainder when (-1 - 12)*g/4 is divided by v(0).
12
Let i be 115/15 - 8/12. Suppose 0 = -2*f + 6*f. Suppose f = -2*j + i*j - 25. What is the remainder when 13 is divided by j?
3
Let c(v) = 3*v**3 - 2*v**2 + 2*v - 3. Let y be c(3). Let b = 112 - y. Calculate the remainder when b is divided by 25.
21
Let l(k) = k**2 - 2*k + 7. Let p = -32 + 31. Calculate the remainder when l(5) is divided by (p - -7)/((-3)/(-6)).
10
Let m(r) = r**3 - 2*r**2 - r + 1. Suppose 44*x = 73*x - 87. Calculate the remainder when m(3) is divided by x.
1
Suppose -4*v + 75 = 3. Suppose -10*l = 17 + 3. Let p = v + l. What is the remainder when p is divided by 9?
7
Let y = -1 - -6. Suppose -5*t + 0*q = -3*q - 94, y*t - 5*q = 100. Calculate the remainder when 48 is divided by t.
14
Let g(b) = b + 1. Let n be g(-7). Let c = n + 48. What is the remainder when c is divided by 11?
9
Let o(w) be the third derivative of 5*w**4/24 - w**3/3 - w**2. Let m = -9780 - -9786. What is the remainder when o(5) is divided by m?
5
Suppose 2942 = 5*f + 4*k, -77*f = -72*f - 4*k - 2918. What is the remainder when f is divided by 6?
4
Let v = 1 - -12. Suppose g + 2*z = 4*g - 251, 3*z - 6 = 0. Let l = g - 34. What is the remainder when l is divided by v?
12
Calculate the remainder when (-3 - 5)/(-2) - -223 is divided by 58.
53
Let h = -5 + 9. Suppose z - 3*i + h = 6*z, -z + 4*i + 10 = 0. Let o(g) = 12*g**2 - 4*g + 3. What is the remainder when o(z) is divided by 11?
10
Let m(v) = 6*v**2 + 2*v + 1. Let w(u) = -u**3 - 5*u**2 + 7*u + 1. Let g be w(-6). What is the remainder when m(-2) is divided by ((-22)/(-4))/(g/(-10))?
10
Suppose 128*b = 131*b - 99. Calculate the remainder when 106 is divided by b.
7
Suppose 18*j - 112 = 806. Calculate the remainder when 53 is divided by j.
2
Let g = 4 - 8. Suppose 5*o - 2*f = -19, -f + 6*f - 13 = o. What is the remainder when g/12*o + 1 is divided by 1?
0
Suppose 194*v = 195*v - 91. What is the remainder when v is divided by 3?
1
Let l = -7 - -11. Suppose -5*i - 17 = -4*s, 0 + 26 = l*s - 2*i. What is the remainder when (-54)/12*(-20)/6 is divided by s?
7
Calculate the remainder when 226 is divided by 94/4 - (-3)/(-6).
19
Suppose 0 = u - 0*u. Suppose u*a + 4*a + 10 = -2*k, 5*a + 35 = 5*k. What is the remainder when 16 is divided by (k + (3 - 0))/1?
4
Suppose 5*y = 136 - 51. Let a(w) be the second derivative of -w**5/20 + 5*w**4/6 - w**3/2 - 9*w**2/2 - 4*w. Calculate the remainder when a(9) is divided by y.
11
Let y = 883 - 654. Calculate the remainder when y is divided by 60.
49
Let m(v) = 38*v**3 - 5 - 8*v**2 - 39*v**3 - 8*v + 0*v**2. Let q be m(-7). Suppose q*p - 11 = p. Calculate the remainder when 43 is divided by p.
10
Let o(x) = 104*x**3 - x. Let v be o(1). Let w = v - 71. What is the remainder when w is divided by 7?
4
Suppose -3*v + 131 = -5*n, 0 = -2*v - 2*n + 50 + 48. Suppose 90 = 2*c + 7*c. Calculate the remainder when v is divided by c.
7
Suppose 2*v + 2*k + 18 = -38, -10 = -2*k. Let m = v + 63. Calculate the remainder when 59 is divided by m.
29
Suppose 190 = 5*r - 80. What is the remainder when 321 is divided by r?
51
Let d(m) = -m**2 + m + 26. Let u(p) = -4*p**2 + 6*p + 6. Let i be u(5). Let c = i - -78. Calculate the remainder when d(0) is divided by c.
12
Let v be (-17)/5 + (-4)/(-10). Let y be v*(-3 + (-60)/9). Calculate the remainder when 37 is divided by (-18)/12 + y/2.
11
Suppose -5*h + 3*j + 155 = -0*j, 2*h = -j + 62. Let l = -19 + h. What is the re