c = 11 - 3. Suppose 4*f + 3*p + c = 7*p, -3*f - 5 = -2*p. What is the remainder when 20 is divided by ((-11)/(-4))/(f/(-4))?
9
Let x = -4 - -62. What is the remainder when x is divided by (-1)/(-1 + 3)*-30?
13
Let g(i) = i**2 + 4*i - 8. Let k be g(-6). Suppose -4*m - y + 20 = 3*y, 4*m = k*y + 52. Calculate the remainder when m is divided by 5.
4
Let y be (-4)/(-14) + (-130)/(-35). Calculate the remainder when (-86)/(-3) - 2/(-6) is divided by y + 3 + 3*1.
9
Let d(y) = -y**2 - 10*y + 2. Suppose 4*q = -19 - 17. What is the remainder when 43 is divided by d(q)?
10
Let j(x) = -x**2 + 9*x. Suppose 0*r + 4*r - 16 = 0. Suppose -z + 29 = f - r*z, 0 = -f - 5*z + 61. Calculate the remainder when f is divided by j(7).
13
Let y be ((-3)/2)/(12/(-16)). Suppose -y*z + 32 = -0*z. Let k = 23 - -24. Calculate the remainder when k is divided by z.
15
Let t = -10 - -17. Suppose 71 = 2*x + 4*d - 3*d, 5*d - 91 = -2*x. Let a = -14 + x. What is the remainder when a is divided by t?
5
Suppose 2*r - 160 = 5*c, -2*c - 185 = -3*r + 77. Suppose 10 = -2*n + 56. What is the remainder when r is divided by n?
21
Let d = 20 - 15. Suppose 3 = -w - 12. Let f = w - -23. Calculate the remainder when f is divided by d.
3
Suppose -5*c = -5*m + 140, 6*m + 5*c - 140 = m. What is the remainder when m is divided by 8?
4
Suppose -51 = -0*j - 3*j. What is the remainder when j is divided by -5*(12/10)/(-1)?
5
Let c = -17 + 29. Calculate the remainder when c is divided by ((-15)/6)/(7/(-14)).
2
Suppose 3*v - 2 = -4*w + 44, -2*v = -3*w - 25. Calculate the remainder when (-1692)/(-42) + (-4)/v is divided by 21.
19
Let x = -8 + 10. Suppose p - x*f = -5, -5*f = 5*p - p - 45. Suppose p*d - 110 = -5*v, 0 = -5*d - 24 - 1. Calculate the remainder when v is divided by 10.
7
Let f = 6 - 6. Suppose -2*x - y + 39 = f, 4*x = 7*y - 2*y + 85. What is the remainder when x is divided by 7?
6
Suppose 5*d = 116 - 16. What is the remainder when -95*((-8)/(-5) + -2) is divided by d?
18
Let p = -12 + 17. Suppose -3*q + 9 + 0 = 0. Calculate the remainder when p is divided by q.
2
Let x(y) = 85*y**2 + y - 1. What is the remainder when x(1) is divided by 45?
40
Let b(g) = -g**2 + 9*g + 2. Calculate the remainder when 57 is divided by b(6).
17
Let w = 54 - 82. Calculate the remainder when 2/8 + (-777)/w is divided by 15.
13
Suppose 2*p + 4*q = 6*p - 272, -5*p - 3*q + 356 = 0. What is the remainder when p is divided by 18?
16
Let b be 6/15 + 8/5. Suppose -5*r = b*q - 28, 0*r - 3*r + 20 = 2*q. What is the remainder when r is divided by -1 + (-8 - -5 - (1 + -8))?
1
Let r(w) = 23*w + 1. Let k be r(-1). Let z = 34 + k. What is the remainder when 57 is divided by z?
9
Let t = 4 + -2. Suppose -4*q + t*q + 24 = 0. What is the remainder when (45/(-4))/(3/(-12)) is divided by q?
9
Let f = 47 + -25. Let q be (0 - 0)*(1 - 2). Suppose -6*m + 2*m + 48 = q. What is the remainder when f is divided by m?
10
Suppose 11 = -6*f + 467. What is the remainder when f is divided by 22?
10
Let k(n) = 2*n**2 - 6*n - 9. Let t(o) = o**3 - 11*o**2 + o + 1. Calculate the remainder when k(7) is divided by t(11).
11
Calculate the remainder when (-130)/(-3) - 3/9 is divided by 15.
13
Let a be 2*((-25)/(-2))/5. Suppose -3 = -4*t + a*t. What is the remainder when 5 is divided by 2/t + (-77)/(-21)?
2
Let g = 0 + -3. What is the remainder when 24 is divided by g/(3/(-7)) + 2?
6
Suppose -4*o + 3*f = 0, 2*o + 2*o = 5*f - 8. Let v(y) = -4*y**o - 1 + 7*y**2 + y**3 - 6*y + 4*y**3. What is the remainder when v(-7) is divided by 14?
13
Let q(i) = i - 1. Let g(x) = -2*x**3 + x**2 + 2*x. Let n be g(-2). Suppose l - n = -4*f + f, -5*f = -3*l - 8. What is the remainder when l is divided by q(4)?
1
Let j = -31 + 46. Calculate the remainder when j is divided by (-258)/(-30) - (-6)/(-10).
7
Let i = -18 - -30. What is the remainder when 33 is divided by i?
9
Let v be -2 - -1 - (-48)/3. Let l be ((-12)/10)/(v/(-50)). Suppose -l*g - 5 + 29 = 0. What is the remainder when g is divided by 4?
2
Let s(l) = -l**2 + l. Let j = -3 - -3. Let o be s(j). Suppose o = -3*z + 12 + 21. What is the remainder when 32 is divided by z?
10
Let u(l) = -l**3 - 5*l**2 + 10*l - 2. Calculate the remainder when 127 is divided by u(-7).
23
Suppose -4 = -2*k, -3*i - 3*k = -4*i + 2. What is the remainder when i is divided by (5 + 1)*1/2?
2
Let g = 26 - 14. Let n = -83 + 86. What is the remainder when g is divided by n?
0
Let y = -6 + 38. Suppose y = 4*v - 4*a, -v - 5*a - 8 = 2*v. Suppose -19 = -g - 2*x, 50 = 3*g + 3*x - v*x. Calculate the remainder when 32 is divided by g.
15
Let y = 3 - 1. Suppose -y*a + 11 = -13. What is the remainder when 35 is divided by a?
11
Suppose o = x - 3*x + 4, 0 = 4*o - 2*x + 14. What is the remainder when 7 is divided by -1 + 5 + o - -2?
3
Let d(z) be the first derivative of z**5/5 - z**4/3 + z**3/2 - z + 2. Let s(i) be the first derivative of d(i). What is the remainder when s(2) is divided by 8?
6
Suppose -2*u + 5*y + 12 = 0, -2*u + 7 = -y - 5. Suppose -60 = z - u*z. What is the remainder when (1 + 50)/((-12)/(-8)) is divided by z?
10
Suppose 4*y = 5*y - 46. Let r = 68 - y. What is the remainder when r is divided by 6?
4
Let n = 3 + 2. Suppose n*g - 3 = 82. Calculate the remainder when g is divided by 6.
5
Suppose 592 = 4*q + 8*b - 4*b, -2*b - 568 = -4*q. Suppose -q = -5*t - j, 2*j = t + j - 30. What is the remainder when t is divided by 10?
9
Let r(j) = 6*j**2 - 3*j - 6. What is the remainder when r(-3) is divided by 12?
9
Suppose i = -i + 20. Let r(h) = 2*h + 1. Let c be r(-1). Let w = 3 - c. What is the remainder when i is divided by w?
2
Let s(l) = 4*l**2 + l. Calculate the remainder when s(3) is divided by (-4 - -12)/(4/10).
19
Suppose -2*g + g = -3*q + 8, -3 = 2*q + g. Let u = 11 - 10. What is the remainder when u is divided by q?
0
Let j(s) = 2*s**3 - 5*s**2 + 2*s + 2. What is the remainder when (2 + -4 + -96)/(-2) is divided by j(3)?
15
Suppose 2*f - 13 = -d, d + 4*f + 10 - 27 = 0. Let y(p) = -p**3 - p**2 + 5*p + 2. What is the remainder when d is divided by y(-3)?
4
Let h = 20 + -15. What is the remainder when 13 is divided by h?
3
Suppose 4*p = -5*d + 193, -d + 5*p = 4*d - 175. Let t = d + -20. What is the remainder when t is divided by 9?
8
Let h = 3 - 9. Let o(n) = n**3 + 5*n**2 - 5*n + 8. Suppose 0 = -5*f - 7 + 22. Calculate the remainder when f is divided by o(h).
1
Let z = 15 + -11. Suppose -3*l - 91 = -0*k - z*k, -2*k + 59 = 3*l. Calculate the remainder when k is divided by 13.
12
Let f be (-1)/3 - (-2)/(-3). Calculate the remainder when 28 is divided by f/(2/(-30)) - 0.
13
Let s(q) = q**2 - 8*q + 3. Let n be ((-8)/5)/(4/(-20)). Calculate the remainder when 5 is divided by s(n).
2
Suppose -2*o - p + 31 = -2*p, -2*p - 46 = -3*o. Calculate the remainder when 23/(-2)*(2 + -6) is divided by o.
14
Suppose 5*w - 85 = -3*i - 10, 5*i = w - 15. Calculate the remainder when w is divided by 9.
6
Let h be (-3)/2*(-16)/(-6). What is the remainder when h/(-5)*(1 - -4) is divided by (12/(-48))/(1/(-8))?
0
Suppose 0 = 4*q + 5*o - 32, -4*q + 14 + 10 = 3*o. Calculate the remainder when 14 is divided by (2 - -5) + (q - 5).
4
Let k be 20/(-6)*42/(-35). Suppose -i + 170 = k*i. Calculate the remainder when i is divided by 18.
16
Suppose 2*m = -0*m - 2. Calculate the remainder when 13 is divided by 6/(m*(-6)/4).
1
Let k be -2*(1 - 2)*-8. Let v = 26 + k. What is the remainder when (104/(-20))/((-2)/v) is divided by 14?
12
Let f(w) = -12*w - 8. What is the remainder when f(-5) is divided by 6?
4
Let a(g) = -g**3 + 3*g**2 - 2*g - 5. What is the remainder when a(-3) is divided by 14?
13
Let z(h) = h**2 + 3*h + 23. What is the remainder when z(-8) is divided by 20?
3
Calculate the remainder when 51 is divided by 58*(-2)/(-8) - (-3)/(-6).
9
Let q = 0 - 0. Suppose q*v + 3*v = 48. Let d = -4 - -13. Calculate the remainder when v is divided by d.
7
Suppose 0 = 29*h - 21*h - 56. What is the remainder when 2/(-1)*(-22)/4 is divided by h?
4
Let t be (-95 + 4)*-1*1. Suppose -4*m - 5*s + t = 0, 4*m = 3*s - s + 126. Calculate the remainder when m is divided by (11 - 3) + 1*2.
9
Let y = -3 - -3. Suppose y*r = -5*r + 80. What is the remainder when r is divided by 6?
4
Let s(t) = -21*t + 2. Let l = 5 + 0. Let v = 7 + l. Calculate the remainder when s(-1) is divided by v.
11
Let f(t) =