).
10
Let c(i) = i**2 + 7*i - 4. Let r be c(-8). Let z(b) = 5*b - 4*b + b + 5. What is the remainder when z(r) is divided by 4?
1
Let t be (12/8)/((-1)/(-2)). Suppose 3*m - l - 119 = 0, 5*m - 5*l - 75 = t*m. Calculate the remainder when m is divided by (2 - -3)*(-14)/(-5).
12
Calculate the remainder when 105 is divided by ((-1)/(-2))/((-6)/(-432)).
33
Suppose -6*c + 57 = -2*c - 5*g, 40 = 3*c - g. Let n(f) = -11*f + 4. Let o be n(-4). Let j = o - 10. What is the remainder when j is divided by c?
12
Suppose 0 = -2*x - 5*r - 6 + 34, -88 = -3*x + 4*r. Suppose 4*z + 3*u - u - x = 0, -5*z + 3*u + 19 = 0. Calculate the remainder when z is divided by 3.
2
Suppose -4*r = 5*x - 15 - 130, 0 = -x + 3*r + 10. Suppose 36 = 6*o - 42. Calculate the remainder when x is divided by o.
12
Let u(k) = k**2 - 11*k - 34. What is the remainder when 11 is divided by u(14)?
3
Suppose -10 + 34 = 3*j. Let s = 7 + -14. Let w = s - -10. Calculate the remainder when j is divided by w.
2
Suppose 0 = 4*n + 5*r - 374, 5*n + 178 = r + 631. Let p = -20 + n. Let o = p + -26. Calculate the remainder when o is divided by 12.
9
Suppose -4*r + 5 = 4*k + 17, -4*r = 2*k + 6. Suppose r = -0*l - 2*l. Suppose l = -8*t + 3*t + 170. What is the remainder when t is divided by 12?
10
Suppose -2*b + 13 + 3 = 0. Let o = b - 4. Calculate the remainder when (52/8)/(2/o) is divided by 7.
6
Suppose 7*t - 10*t + 18 = 0. Calculate the remainder when (1 + -1 - 1)*-17 is divided by t.
5
Let n = 3 - -1. What is the remainder when (-22 - -1)*(-3)/9 is divided by n?
3
Suppose -4*a + 4*y + 430 = -82, 5*y = a - 148. Let p = a + -88. Calculate the remainder when p is divided by 12.
11
Suppose x + 4*g - 13 = 0, -2*x + 4*g + g = -52. Suppose 3*r - 27 - x = 0. Suppose 3*d - u = 9 + 123, -d + u = -42. What is the remainder when d is divided by r?
13
Let u be (-310)/(-7) + (-2)/7. Suppose 5*k = k - 5*g + u, -g = 4*k - 28. What is the remainder when 17 is divided by k?
5
Let r = -22 - -49. Calculate the remainder when r is divided by 4.
3
What is the remainder when 57 is divided by 2/1*(6 + -7 + 11)?
17
Suppose 8 = 3*o - 2*b - 14, 2*b - 10 = -5*o. Let u = 16 - 9. What is the remainder when u is divided by o?
3
Suppose -y + 87 = 4*s - 100, -2*s - 5*y = -89. Suppose -2*h = -h - 2. Suppose h*b = -b + 48. Calculate the remainder when s is divided by b.
15
Let y = -59 + 197. Calculate the remainder when y is divided by 35.
33
Let k = 2 - -3. Suppose k = j, j - 105 = -t - 4*t. Calculate the remainder when t is divided by (-1)/(39/21 - 2).
6
Let u = -133 + 157. Calculate the remainder when u is divided by 11.
2
Let v = -37 - -75. Let x = -12 + v. Calculate the remainder when x is divided by 10.
6
Suppose a = -3*s + 181, -4*s = -5*a - 218 - 55. What is the remainder when s is divided by 21?
20
Let x(n) = n**3 - 2*n**2 + 2*n + 2. What is the remainder when 21 is divided by x(2)?
3
Suppose f + 5*w + 0*w - 21 = 0, 3*w = 0. Suppose 4 = -k + 5*g + 86, -314 = -5*k + g. What is the remainder when k is divided by f?
20
Let h(x) = 2*x**3 - 8*x**2 - x - 3. Calculate the remainder when 82 is divided by h(5).
40
Let o = -36 - -68. Calculate the remainder when o is divided by (-44)/24*-3*2.
10
Let m = 1 - -10. Let v(u) = 4*u**2 + 69*u - 22. Calculate the remainder when v(-18) is divided by m.
10
Suppose -8 = -2*w, -22 = -2*z + 4*w + 10. Calculate the remainder when z is divided by 14.
10
Let b be ((-9)/(-3))/((-3)/52). Let k = -5 - b. Calculate the remainder when k is divided by (8/(-1))/((-9)/18).
15
Suppose -4*c + 85 = -71. Let i(n) = 4*n**2 - 2. Calculate the remainder when c is divided by i(2).
11
Let g = 9 - 2. Suppose 4*j = 2*j + 28. Let b = j - g. What is the remainder when b is divided by 4?
3
Let x = 590 - 578. Calculate the remainder when ((-2)/4*-46)/1 is divided by x.
11
Let c be ((-10)/8)/(1/4). Let n(j) = j**2 - j + 5. Let s = -7 - -25. What is the remainder when n(c) is divided by s?
17
Let m(w) = -w**2 + 27*w + 9. Calculate the remainder when m(23) is divided by 34.
33
Let o(d) = 2*d - 20. What is the remainder when 39 is divided by o(15)?
9
Suppose 3*l + 28 = 5*l + 5*x, -3*l = 3*x - 51. What is the remainder when l is divided by 12?
7
Suppose 0*q + 21 = -3*q. What is the remainder when (-1 - q/2)*2 is divided by 4?
1
Let l(y) = -8*y + 2. What is the remainder when 57 is divided by l(-1)?
7
Suppose 0 = -4*a - 4 - 20. Let r(b) = -4*b + 3*b + 8 - 5 - 2*b. What is the remainder when r(a) is divided by 6?
3
Calculate the remainder when 46 is divided by 13*(2 - (-5)/(-3))*3.
7
Suppose 5*d + 0*d - 5 = 0. Let z(u) = u**3 + u**2 - u + 1. What is the remainder when 5 is divided by z(d)?
1
Let i = 348 - 210. What is the remainder when i is divided by 47?
44
Suppose 9*u - 4*u = 305. Let b = u - 36. What is the remainder when b is divided by 9?
7
Suppose 0 = -y + 2*y - 3. Let d(k) = -k**3 + 4*k**2 + 3*k - 4. Calculate the remainder when d(y) is divided by 5.
4
Let a = 2 - 1. What is the remainder when 38 is divided by (-39)/(-2) - a/(-2)?
18
Suppose -9 - 97 = 2*g. Calculate the remainder when g/(-2*1/2) is divided by 18.
17
Let t be (-306)/(-8) - (-3)/(-12). Suppose 0 = -w - w + t. Calculate the remainder when 35 is divided by w.
16
Suppose 6*r = 3*r + 6. Suppose -2*o + 6 = c, -3*c + 3*o = r*o - 25. What is the remainder when c is divided by ((-3)/(-5))/(2 - 45/25)?
2
Let q(p) = p**2 + 14*p + 17. Let w(f) = -f**2 - 4*f - 1. Let t = -3 + 1. What is the remainder when q(-13) is divided by w(t)?
1
Let a = -3 + 18. Let h = a + -11. Suppose -h*d + 45 + 51 = 0. Calculate the remainder when d is divided by 13.
11
Let k be 4/(-5) - 5/25. Calculate the remainder when (2 - k)*(-138)/(-18) is divided by 12.
11
Let n(a) = -11*a + 4. Let y(c) = c - 1. Let z be y(-2). Let w be n(z). Suppose -t + w = -0*t. What is the remainder when t is divided by 13?
11
What is the remainder when (3/(-9)*-177)/1 is divided by 20?
19
Suppose -4*d + 9 + 15 = 0. Suppose 4*p - d*p = -126. Calculate the remainder when p is divided by 16.
15
Suppose t + t - 40 = 0. Calculate the remainder when 58 is divided by t.
18
Let c = 4 - 3. Calculate the remainder when (2 - c)/((-3)/(-111)) is divided by 13.
11
Suppose -400 = -9*n + 608. What is the remainder when n is divided by 58?
54
Suppose 3*g = -3*t + 33, -3*g - 18 - 29 = -2*t. Calculate the remainder when 50 is divided by t.
2
Let b(r) = 15*r - 5*r + 16*r - 5*r. Suppose -o = -4*p - 11, 0 = -0*o + 2*o - 4*p - 22. Calculate the remainder when b(1) is divided by o.
10
Suppose -f + 5*f = 0. Suppose -h + 3*h - 38 = f. Calculate the remainder when h is divided by 7.
5
Suppose 0 = -2*v - q + 17, 3*v + 3*q - 30 + 0 = 0. Suppose -2*g = -g. Let u(b) = b + 12. What is the remainder when u(g) is divided by v?
5
Let a(n) = n**2 - 4. Let v be a(3). Suppose -3*b + v - 20 = 0. Let k = b - -10. Calculate the remainder when 9 is divided by k.
4
Let u = 41 - -5. What is the remainder when u is divided by 24?
22
Let b(n) = -7*n**3 - n - 1. Let a(t) = -8*t. Let x be a(1). Let l be x/5 + (-15)/(-25). What is the remainder when 20 is divided by b(l)?
6
Let b = 128 + -90. What is the remainder when b is divided by 6/(-9)*(-16 + 1)?
8
Calculate the remainder when 87 is divided by 32/24*102/4.
19
Let c = 14 - -10. Suppose -3*l = -7*l + 36. What is the remainder when c is divided by l?
6
Let m = -5 + 5. Suppose m = 4*b + b - 50. Suppose -5*i = -b*i + 250. What is the remainder when i is divided by 17?
16
Suppose -20 - 3 = -o. Let i = -29 - -41. Calculate the remainder when o is divided by i.
11
What is the remainder when (-16)/(1*(-4)/8) is divided by 12?
8
Let r(p) be the third derivative of p**4/3 - p**3/6 + p**2. Suppose -127 = -15*h + 53. What is the remainder when r(3) is divided by h?
11
Let h be (4/(-4) - -16)*1. Suppose 0 = 3*m - h - 54. Calculate the remainder when m is divided by 6.
5
Let a(z) = z**3 - 9*z**2 + 10*z + 4. What is the remainder when 98 is divided by a(8)?
18
What is the remainder when 36 is divided by 1*(-5 + 4)*-13?
10
Let c(d) = -32*d - 5. Calculate the remainder when c(-3) is divided by 23.
22
Let g(m) = m**2 - 7*m - 2. Let q be g(8). Suppose -k = -3*z - q - 8, 2*k = 5*z + 24. What is the remainder when (114 - -4)/(k + 0) is divided by 20?
19
Let a = 16 + -25. What is the remainder when 18 is divided by (15/a*3)/(