2 + o + 6. Let f be n(5). Suppose -s + 15 = -f. Calculate the remainder when 51 is divided by s.
25
Let g = -249 - -375. What is the remainder when g is divided by 32?
30
Let h(z) = z - 1. Let a be h(1). Suppose 40 = 3*q - k, a*k + 4*k - 8 = -2*q. Calculate the remainder when 141/4 + (-2)/8 is divided by q.
11
Let d = -11 + 8. Let u = d + 1. What is the remainder when (-25 + -1)*u/4 is divided by 5?
3
Let l(x) = -6*x + 2. Let o be l(-9). Suppose 2*c - 2*b = 34, 2*b = -3*c + 6*b + o. Calculate the remainder when 33 is divided by c.
9
Suppose 3*n + 42 = 3*v, -2*n + 2*v = 5*v + 33. Let a = 9 + n. What is the remainder when 23 is divided by (a/5)/((-1)/10)?
11
Suppose -4*l = -h - 20, 12 = 5*h + 4*l + 40. Let c(j) = -j**2 - 7*j + 11. Calculate the remainder when 6 is divided by c(h).
0
Suppose 0*h - 8 = 4*h + 5*r, 0 = 2*r + 8. Let o = 1 + h. Calculate the remainder when 14 is divided by o.
2
Suppose 49 + 151 = 4*j. Suppose -2*c = -5*k + 68, 0 = 3*k - 5*c - 6 - j. What is the remainder when 34 is divided by k?
10
Let q = -49 + 64. Let d = 70 + -41. What is the remainder when d is divided by q?
14
Let w = -36 + 66. Calculate the remainder when w is divided by 8.
6
Let x = 35 - -102. Calculate the remainder when x is divided by 23.
22
Let v(z) = -z**3 - 5*z**2 - 5*z. Calculate the remainder when 123 is divided by v(-5).
23
Let v(y) be the third derivative of 0*y + 0 + 2*y**2 - 3/2*y**3 - 5/12*y**4 - 1/60*y**5. Calculate the remainder when v(-8) is divided by 4.
3
Let x = -3 + -1. Let s be 2 + x + 2 - -3. Suppose 4*d - 5*b - 6 = 37, 5*b + 31 = s*d. Calculate the remainder when 23 is divided by d.
11
Let r(j) = -3 + 4 - 39*j - 2. What is the remainder when r(-1) is divided by (0 - -1)*(14 + -1)?
12
Let m = -45 - -104. Calculate the remainder when m is divided by 32.
27
Suppose -z - 4*z + 185 = 0. Calculate the remainder when 71 is divided by z.
34
Let p(d) = -d**2 + 3. Let z be p(0). Suppose -7*f + 56 = -z*f. Suppose 4*g - 12 = 0, 3*w + g - 174 = -4*g. Calculate the remainder when w is divided by f.
11
Let f = 18 - 18. Let l(p) = 2*p + 82. What is the remainder when l(f) is divided by 21?
19
Let d = 77 - 54. Calculate the remainder when (2/(-6))/((-1)/267) is divided by d.
20
Suppose -3*u - 52 = -2*b, -5*b + 3*b = 4*u - 38. What is the remainder when 68 is divided by b?
22
Suppose 3*o + 292 = 5*f + 67, 5*f - 220 = 4*o. Suppose 3*x - f - 42 = 0. Calculate the remainder when x is divided by 11.
8
Let k = -36 + 48. What is the remainder when 59 is divided by k?
11
Let z(l) = -l**2 + 4*l. Suppose 3*i = 4*b - 11, -3*b = -b + 5*i + 1. Let k be z(b). Suppose 23 = k*o + 7. Calculate the remainder when 6 is divided by o.
2
Calculate the remainder when 154 is divided by 13/(2/1*(-5)/(-30)).
37
Let t(n) = -5*n - 2. Calculate the remainder when t(-5) is divided by 6.
5
Let s(c) be the second derivative of -c**5/20 + c**4 - 4*c**3/3 - 4*c**2 - 4*c. What is the remainder when s(11) is divided by 9?
7
Suppose 0 = -s + 6*s + 35. Let r = s + 18. Calculate the remainder when 41 is divided by r.
8
Let r = 0 - 0. Suppose 5*a = -r*a. Suppose -j + a*j + 2 = 0. Calculate the remainder when 5 is divided by j.
1
Suppose 0 = -0*f - 3*f + 60. Suppose n + 2*i - 4 = 3*n, -4*i + 18 = n. Calculate the remainder when f is divided by 1 + 5 - (-2)/n.
6
Let m be (-176)/(-18) + 4/18. Let b be (1 + 2)/(9/24). Let v = m - b. What is the remainder when 7 is divided by v?
1
Suppose -4*z - 4*m = -5*m - 4, 5*m = -2*z + 24. Calculate the remainder when 5 is divided by z.
1
Suppose m - 5*j + 1 = 13, j - 8 = -5*m. Suppose -3*z + 5*d + 48 = 2*d, 0 = z - m*d - 14. Suppose -16 = 3*p - 46. What is the remainder when z is divided by p?
8
Let m = 53 - 80. Let l = m - -46. Let i = -15 - -70. What is the remainder when i is divided by l?
17
Let j be 1 - -5*(-1 + 2). Suppose -j*g = -4*g - 30. What is the remainder when 41 is divided by g?
11
Suppose -2*l = l - 6. Suppose 0 = 3*a + l*a - 2*s + 32, 2*a = 5*s + 4. Calculate the remainder when 6*(-4)/(a/3) is divided by 5.
4
Let b(u) = 4*u + 1. Let v(q) = -3*q**2 + 38. What is the remainder when v(0) is divided by b(3)?
12
Suppose -5*c - 5 - 19 = -4*m, -4*m + 2*c = -36. Calculate the remainder when 41 is divided by m.
8
Let y(r) = -r**3 - 3*r**2 + 2*r - 5. Let q be y(-4). Let c = q - -4. Calculate the remainder when c is divided by 2.
1
Let r = -6 + 7. Let s = 9 + r. Let n(u) = 2*u**2 + 7*u + 3. What is the remainder when n(-5) is divided by s?
8
Suppose 4*d = -0*d. Suppose d = -6*c + 2*c + 52. Calculate the remainder when 1 - 4 - 1*-39 is divided by c.
10
Let x(a) = a**2 - a + 5. Calculate the remainder when 11 is divided by x(2).
4
Let l(t) = t**3 - 8*t**2 + 9*t - 10. Calculate the remainder when 13 is divided by l(7).
1
Suppose a = -z - 4*z + 19, -2*z + 4 = 0. Let w = a - 6. Let g = 1 - -1. Calculate the remainder when w is divided by g.
1
Let h be (-75)/(-7) + 20/70. Suppose 0 = -0*s - s + h. What is the remainder when s is divided by 4?
3
Suppose 5*i = -5*u + 60, 2*u = i + 3*i - 78. Calculate the remainder when 31 is divided by i.
14
Calculate the remainder when 25 is divided by 14*((-8)/24 - 10/(-12)).
4
Let o be ((-6)/(-4))/(3/(-4)). Let p = 9 + o. Calculate the remainder when 25 is divided by p.
4
Suppose -7*w = -6*w - 10. What is the remainder when 272/15 - 20/150 is divided by w?
8
Let h = 3 - -20. Suppose 2*b + 3 - 9 = 0. Suppose -2*c + 20 = -0*c - 2*z, -5*c + 54 = -b*z. Calculate the remainder when h is divided by c.
11
Calculate the remainder when 2 is divided by 0/(-3) + (-10)/(-5).
0
Let j(d) = 2*d + 1. Let w = -20 - -37. What is the remainder when w is divided by j(4)?
8
Suppose -4 - 5 = -3*s. Suppose 10 = u - s. Let a = -37 + 73. What is the remainder when a is divided by u?
10
Let p be 2/3 - 10/6. Let u(t) be the third derivative of -59*t**6/120 + 33*t**2. What is the remainder when u(p) is divided by 15?
14
Suppose 2*g = 5 + 5, -159 = -4*v - 3*g. Calculate the remainder when 69 is divided by v.
33
Let c(v) = 4*v**2 + 4*v - 5. Let x be c(-4). Suppose 0 = 3*t - 4*t + x. What is the remainder when t is divided by 15?
13
Suppose -32 + 7 = -5*a. Suppose 0*k - 5*h = -k + 48, 0 = -4*k - a*h + 67. Calculate the remainder when (-4)/(-14) + (-474)/(-7) is divided by k.
22
Suppose 8*k - 18 = 62. Calculate the remainder when k is divided by 10.
0
Let f(z) = -z**2 - 5*z - 4. Let o be f(-3). Suppose -4*r + o*r = -32. Calculate the remainder when 30 is divided by r.
14
Suppose 70 = 4*v + 18. Calculate the remainder when 23 is divided by v.
10
Suppose -6 + 24 = -2*y. Let f be 164/y - (-14)/63. Let g = f - -75. Calculate the remainder when g is divided by 15.
12
Calculate the remainder when 35 is divided by ((-2)/(-6))/((-3)/(-171)).
16
Let g = 48 - 33. Let p be (2/(-3))/((-2)/39). Let q = p + -5. Calculate the remainder when g is divided by q.
7
Suppose x - 27 = 3*i - 12, 0 = -2*x + i + 10. Suppose 5*q - 90 = 3*t - 2, -t = -x*q + 52. Calculate the remainder when q is divided by 9.
8
Let i(b) = 2*b + 2*b**2 - 1 - 7*b**3 - 2 + 4*b**3 + 4*b**3. What is the remainder when i(2) is divided by 9?
8
Let s(v) = -6*v**3 + 1. Suppose -t = t - 3*z - 47, z = -4*t + 73. Suppose 32 + t = 3*m. What is the remainder when s(-2) is divided by m?
15
Let j = -30 - -43. Let q = 22 - j. What is the remainder when 16 is divided by q?
7
Let n = 4 - 3. What is the remainder when 35 is divided by n/(-3)*-3*18?
17
Let l(t) = -13*t. What is the remainder when l(-11) is divided by 29?
27
Suppose -n + 2*z + 1 = -4*n, 28 = n - 5*z. Suppose 0 = -n*m - m + 56. Calculate the remainder when 18*(-2)/((-4)/3) is divided by m.
13
Let q = 7 - -16. Calculate the remainder when (1 + -19)/((-3)/15) is divided by q.
21
Suppose 3*m - m - 8 = 0. Suppose 0*z + 10 = z. Calculate the remainder when z is divided by (-30)/(-5)*m/6.
2
Let r(k) = -74*k**2 - 2*k + 1. Let z be r(1). Calculate the remainder when z/(-4) - 4/(-16) is divided by 5.
4
Let x be 6*(-3)/(-6) + -1. Calculate the remainder when 19/(2*1/2) is divided by x/(-4) - 75/(-10).
5
Suppose -93 - 112 = -5*n. Suppose -3*t = -0*i + i + 35, 0 = -i + 1. Let o = 2 - t. What is the remainder when n is divided by o?
13
Let t(w) = 5 + 3 - 2 - 6*w**2 + w**3 + 6*w. What is the remainder when -7 - (1 + -4) - -47 is divided by t(5)?
10
Suppose 2*f - 54 =