1
Let x(u) = u**2 - 12*u + 45. What is the remainder when 99 is divided by x(10)?
24
Suppose -3*w + 24 = -0*w. What is the remainder when ((-2)/6)/(2388/342 + -7) is divided by w?
3
Suppose -4*o + 26 = 5*r, -o + 14*r - 11*r = -15. Calculate the remainder when 49 is divided by o.
4
Suppose 23 + 13 = 3*p. Let a = 31 - p. What is the remainder when 55 is divided by a?
17
Let a = -701 - -892. Calculate the remainder when a is divided by 41.
27
Let m be 20/8*(0 + 2). Let a(r) = r**3 - 5*r**2 + 2*r + 6. What is the remainder when (87/(-12))/(2/(-8)) is divided by a(m)?
13
Let u(h) = -h**3 + 11*h**2 - 12*h. Let b(c) = -2*c**3 - 17*c**2 - 8*c + 9. Let n be b(-8). Calculate the remainder when u(n) is divided by 14.
12
What is the remainder when 8/8*1713 + -6 is divided by 30?
27
Suppose x - 16 = -3*x. Suppose 4*j = 6*j - x. Suppose -9*d + 4*d = -15. Calculate the remainder when d is divided by j.
1
Suppose -39 = -7*b + 143. Suppose d = -2*j + 22, j + b = d + 5*j. Calculate the remainder when 70 is divided by d.
16
Let i = -705 + 1297. Calculate the remainder when i is divided by 18.
16
Let c = 357 - 280. What is the remainder when 148 is divided by c?
71
Let c(r) be the first derivative of -r**4/4 + 4*r**3/3 + 3*r + 10. Calculate the remainder when 10 is divided by c(4).
1
What is the remainder when 19 is divided by 4/2 + 12 + -4?
9
Let u(c) be the third derivative of c**6/120 - c**5/5 + c**4/8 - 8*c**3/3 - 5*c**2. What is the remainder when 115/3 + 1/(-3) is divided by u(12)?
18
Let t(q) = -q + 16. Let w(m) = -m + 17. Let c(g) = -2*t(g) + 3*w(g). Calculate the remainder when (3/(-4))/((-2)/152) is divided by c(-10).
28
Let i(z) = 2*z**2 - 12*z - 1. What is the remainder when i(-5) is divided by 50?
9
Let r = 48 - -14. Let d = 67 - r. Suppose 0 = -7*y + 2*y + 4*s + 26, 4*s - 10 = -y. Calculate the remainder when y is divided by d.
1
Let z be ((-11)/((-132)/(-9)))/((-2)/(-8)). Let y(j) = -3*j**2 + 1 + 5 + 3*j**3 - 4*j**3. Calculate the remainder when 16 is divided by y(z).
4
Let f(v) = 5*v + 5. Let x be f(5). Suppose -2*p + x = 8. Calculate the remainder when 21 is divided by p.
10
Let t(x) = -x**2 + 9*x + 3. Calculate the remainder when 35 is divided by t(9).
2
Suppose 2*k + 6*k - 168 = 0. Let c = 30 + -22. Calculate the remainder when k is divided by c.
5
Let v be 16 + (-10)/(-25)*5. Calculate the remainder when 51 is divided by 4/(-18) + 490/v.
24
Let q be 20/8*(-32)/(-20). Let a be 0 + 22/(-2 + q). Suppose 2*t - 2*o = 16, -3*o = -5*t + 33 + a. What is the remainder when 36 is divided by t?
6
Suppose -5*b + 76 - 27 = 4*k, -15 = -5*k + 3*b. Suppose -v = -k*v + 440. Suppose z - 2130 = -51*z - 19*z. What is the remainder when v is divided by z?
28
Suppose 21 = 2*a - 55. Let y = a + -26. What is the remainder when 47 is divided by y?
11
Let j(r) = 126*r**2 - 6*r + 3. Let g(z) = 84*z**2 - 4*z + 2. Let f(m) = 8*g(m) - 5*j(m). What is the remainder when f(-2) is divided by 44?
41
Suppose 12*v - 16*v = -72. What is the remainder when 17 + (v/(-15))/(6/20) is divided by 10?
3
Suppose 0 = 3*g - 3*n - 156, 0*g - 5*g + 250 = 5*n. Let f be (-9 + -1)/(3 + -5). Let z = f - -13. Calculate the remainder when g is divided by z.
15
Suppose -j + 17 = 2*y, 4*y + 141 = 5*j - 0*y. Suppose 8*z = 7*z + 2. Suppose 45 = 5*f + 5*b, z*f + 5*b - 7 = 11. Calculate the remainder when j is divided by f.
7
Suppose -5*t + b + 9 = -b, -t - b + 6 = 0. Suppose -3*q + q + 132 = 0. Calculate the remainder when q is divided by (-340)/30*t/(-2).
15
Let h = 216 - 129. Let t(z) = -7*z - 43 - 2*z + z + z**2. What is the remainder when h is divided by t(13)?
21
Suppose 2*r + 3*n = 22, -4 = -r - 3*r + 4*n. Suppose -2*q + 7 = -r. Let g = q + 3. Calculate the remainder when 15 is divided by g.
6
Let m be ((-6)/4)/((-3)/16). Suppose -o - m = -2*y, -2*y - o + 16 = 2*y. Let h = y + 12. Calculate the remainder when 46 is divided by h.
14
Suppose 7 = 2*n - r, -n + 2 = -3*r + 1. Suppose 4*i - n*w - 135 = -i, -4*w - 108 = -4*i. What is the remainder when 106 is divided by i?
25
Suppose 7 = -2*c - 9. Let u(v) = 2*v**2 - 7*v. Let w be u(c). Suppose -2*p + 6*p = w. What is the remainder when p is divided by 12?
10
Let f = 436 - 421. Calculate the remainder when 34 is divided by f.
4
Let o = 451 - 179. Let k = -186 + o. Suppose 3*i + 3*a - 78 = 0, -3*a = 4*i - 5*a - k. Calculate the remainder when i is divided by 6.
5
Let v be (1 + (-16)/(-1))/((-2)/(-10)). Suppose v*u = 84*u + 25. What is the remainder when 147 is divided by u?
22
Suppose 0 = -4*a + 4*r + 4, 5*r - 32 - 3 = -5*a. Let x(o) = 4*o + 47. What is the remainder when a is divided by x(-11)?
1
Let f(c) = -c**2 + 16*c - 40. What is the remainder when 18 is divided by f(12)?
2
Suppose 0 = g - 5*s - 74, 85*s = g + 84*s - 54. What is the remainder when 145 is divided by g?
47
Suppose -2*b + 102 = 2*y, 57 - 285 = -5*b + 4*y. Let j(o) = -10*o + 8*o + 1 + 2*o**2 - 3*o**2 + 3*o**2. What is the remainder when b is divided by j(4)?
23
Let z = 34 + -2. Let o be -3 + 0/(-2) - 3. Let b(r) = -r + 5. Calculate the remainder when z is divided by b(o).
10
What is the remainder when (66/(-4))/(114/(-608)) is divided by 23?
19
Let k(i) = 8*i**2 + 17*i + 119. Calculate the remainder when k(-6) is divided by 7.
4
Let b(l) be the third derivative of 13*l**4/12 - 2*l**3/3 + 6*l**2. Let y be b(4). Let q = y - 54. Calculate the remainder when q is divided by 16.
14
What is the remainder when 11 - 9 - -284 - 1 is divided by 8?
5
Let v(y) = y**3 - 16*y**2 + 15*y + 8. Let i(w) = w**3 - 15*w**2 + 15*w + 9. Let s(x) = 5*i(x) - 4*v(x). What is the remainder when s(10) is divided by 32?
31
Let d = 1355 + -1311. Calculate the remainder when 103 is divided by d.
15
Suppose -2*u - 58 = -4*l, -u + 5*l + 0*l - 17 = 0. Let j = u - -43. Calculate the remainder when 11 is divided by j.
5
Suppose -3*o + p + p + 210 = 0, 2*p = 0. What is the remainder when o is divided by 37?
33
Let y be 2 + (1 - (-5 - -3)). Suppose 317 - 47 = y*a. What is the remainder when a is divided by 11?
10
Let m = 685 - 67. What is the remainder when m is divided by 31?
29
Let m(a) = -27*a**3 - a**2 - 7*a - 7. Calculate the remainder when m(-1) is divided by 14.
12
Suppose 5*s - f = 52, -s + 5*f = 2 - 22. Suppose 13*u - b - 110 = 10*u, -2*b = -2*u + 72. Calculate the remainder when u is divided by s.
7
Let q = 92 + -68. Suppose 4*h + q = 4*i + h, -i = h + 1. What is the remainder when 10 is divided by i?
1
Suppose -z + 3*v + 0*v = 12, 2*z + 4*v - 26 = 0. Suppose -27 - 15 = -z*u. Suppose 0 = -17*w + 7*w + 410. Calculate the remainder when w is divided by u.
13
Suppose -1 = 3*g + 2*s - 25, -15 = -g - 3*s. Suppose -152 = -4*v - 8. Let p = v + -26. Calculate the remainder when p is divided by g.
4
Let b(f) = -21*f + 11. Let n(h) = -h + 13. Let s be n(16). What is the remainder when b(s) is divided by 25?
24
Let k = 17 - 9. Let t(h) = 5*h. Calculate the remainder when t(k) is divided by 7.
5
Let c be ((-2)/2)/(1*-1). Let w be c/(-2)*2*-5. Let v = 12 + w. What is the remainder when v is divided by 10?
7
Let z = 498 + -323. Suppose -15*c = -20*c + z. Calculate the remainder when 101 is divided by c.
31
Suppose 3*q + a - 47 = -a, 2*q = 2*a + 18. Let s(u) be the third derivative of u**4/12 - 2*u**3/3 + 9*u**2. What is the remainder when s(q) is divided by 6?
4
Let i(u) = u - 2. Let b be i(7). Suppose -b*d + 6 + 4 = 0. Suppose 61 + 117 = d*t. What is the remainder when t is divided by 23?
20
Suppose -690 = -83*x - 147*x. Suppose 3*s - 6*s + 5*f + 42 = 0, -2*f = -4*s + 56. What is the remainder when s is divided by x?
2
Suppose -h - 4*i + 69 = 0, -h + 276 = 3*h + 5*i. What is the remainder when h is divided by 24?
21
What is the remainder when 15 is divided by (-42)/(-7) - 16/4?
1
Suppose 0 = 5*j - b - 204, -5*j + b - 4*b + 208 = 0. Suppose j - 110 = -y. What is the remainder when y is divided by 18?
15
Suppose -2*f - 4*q + 107 = -203, -5*f + 800 = 5*q. Suppose 2*g = -3*g + f. What is the remainder when g is divided by 9?
6
Let n(l) be the first derivative of -l**4/4 + 2*l**3/3 + l**2 + l - 2. Let w be n(3). Calculate the remainder when 2 + w + 36 - -3 is divided by 10.
9
Let o = -141 + 196. Calculate the remainder when o is divided by 15.
10
Suppose 14 = -3*m + 2*p, 0*m = 4*m - 3*p + 18. Let c(y) = y**3 + 5*y**2 - 9*y - 1