emainder when 6/(4760/(-368) + 13) is divided by 48.
44
Let o be (-1)/(-3) - 143/(-39). Let c(i) = -i**2 + 7*i + 8. What is the remainder when 54 is divided by c(o)?
14
Suppose -17*a + 579 = -305. What is the remainder when a is divided by 29?
23
Suppose 6138 = 15*x + 5958. Suppose -5*q + t = 75 - 235, 0 = -q + 4*t + 13. Calculate the remainder when q is divided by x.
9
Let b(s) = -1 + s**3 - 8 + 12 + 8*s**2 + 5*s. Let p(r) = 2*r**3 - 4*r**2 - 5*r + 6. What is the remainder when p(4) is divided by b(-7)?
16
Let z(p) be the third derivative of p**5/30 + 19*p**4/24 + 7*p**3/3 - 17*p**2. Calculate the remainder when z(-10) is divided by 13.
11
Suppose -5*h + 2*f = -68, -7*h + 72 = -2*h - 3*f. Let l = h + -6. Let k(y) = y**2 + 2*y - 5. What is the remainder when l is divided by k(-4)?
0
Let c be (-35)/(-14)*(1 - (21 + -2)). Calculate the remainder when c/(-2) + (-42)/28 is divided by -4*(0/2 - 2).
5
Suppose -28*c = -25*c, -a - 3*c = -22. What is the remainder when 101 is divided by a?
13
Let n = 15 - 10. Suppose -46 = -n*a + 104. Calculate the remainder when 31/5 + (-6)/a is divided by 3.
0
Suppose p - 6*p = 15. Let z(c) = 2*c**2 + 3*c - 2. What is the remainder when 24 is divided by z(p)?
3
Let v(t) = -t**3 + 12*t**2 + 13*t - 109. Calculate the remainder when 467 is divided by v(12).
44
Suppose -c + 3*c = -128. Let h = 108 + c. Calculate the remainder when h is divided by 23.
21
Let q = 28 + -72. Let d = -725 + 729. Calculate the remainder when 55 is divided by d/22 + (-1268)/q.
26
Calculate the remainder when 3 is divided by (-496)/(-176) - (-6)/33.
0
Let o(i) = i**2 - i - 4. Let p be o(3). Suppose -6*z + p*z + 108 = 0. Calculate the remainder when z is divided by 10.
7
Let n = 288 + -274. Calculate the remainder when 39 is divided by n.
11
Let n(q) = q + 11. Let y(p) = -p - 4. Let z(a) = 1. Let o(t) = y(t) + 4*z(t). Let i(m) = -n(m) + 4*o(m). Calculate the remainder when 74 is divided by i(-6).
17
Let w be (-1 + 2)*(-5 - -8 - -86). Let j = -57 + w. Calculate the remainder when 221 is divided by j.
29
Suppose -2*x - 33 = 2*r - 113, -r + 55 = -2*x. Calculate the remainder when r is divided by 27.
18
Let z(u) = -u**3 + 7*u**2 + u - 4. Let r be z(7). Let v(m) = 6*m**2. Suppose -154*k + 149*k = -95. Calculate the remainder when v(r) is divided by k.
16
Suppose -2*h - 1545 = -1737. What is the remainder when h is divided by 44?
8
Suppose -o + 10 = 2*g, 4*o - 8*o = 5*g - 52. Calculate the remainder when 196 is divided by o.
16
Suppose 0 = -3*r + r - 4*c + 98, 0 = 3*c - 6. Let k = r + -34. What is the remainder when k is divided by 7?
4
Suppose -640 = -9*d + 737. Calculate the remainder when d is divided by 11.
10
Let u(o) = 2*o**2 + 50*o - 179. Calculate the remainder when u(-30) is divided by 2/1 + 1 + 38.
39
Let p(b) = b**2 + b + 3. Let w be p(0). Suppose -5*m + w*t + 10 = -t, 4*m = 5*t + 8. Suppose 6*h - m*h = 336. Calculate the remainder when h is divided by 29.
26
Let q = 57 + -17. Suppose -q = 4*z - 116. What is the remainder when z is divided by (1*(-4)/16)/(1/(-44))?
8
Suppose 28 - 100 = -2*q. Let a = -19 + q. Suppose 0 = -5*y + 55 - 5. Calculate the remainder when a is divided by y.
7
Suppose 4*k + 0*k - o - 4 = 0, -4*k - o = -4. Suppose 4 = 5*u - k. What is the remainder when 2 - (-52)/(4/u) is divided by 8?
7
Let x be (0/2 - (-19 - -13)) + -10. Suppose 7*h - 117 = 4*h. What is the remainder when 903/h - x/(-26) is divided by 9?
5
Let b(w) = 2*w**3 + 2*w**2 + 10*w - 23. What is the remainder when (1 - -1)*41/1 is divided by b(2)?
19
Let x(v) = v**3 - 9*v**2 + v - 6. Suppose -c = -2*q + 31 - 9, -23 = -3*q - c. Let f be x(q). Calculate the remainder when 4/6 - (-133)/f is divided by 12.
9
Let j(f) = -f**2 + 27*f + 40. Calculate the remainder when j(26) is divided by 17.
15
Let l = -4 - -7. Suppose -12 = -4*f, 7*f - l = 3*i + 3*f. Suppose -4*z = i - 47. Calculate the remainder when z is divided by 6.
5
Let y = -10 + 25. Suppose 3*z - 2 - 46 = 0. What is the remainder when z is divided by 10/y*(-54)/(-4)?
7
Suppose 3023 + 151 = 46*p. Calculate the remainder when 2067 is divided by p.
66
Suppose 926 - 974 = -3*b. What is the remainder when 655 is divided by b?
15
Let t(c) = -c**2 + 8*c - 7. Let q be t(6). Suppose -2*z - q*n = -12 - 1, 2*n = -4*z + 18. What is the remainder when 45 is divided by 9 - (4 - (z + 3))?
9
Suppose -5*t = -12*t + 56. Calculate the remainder when 70 is divided by t.
6
Suppose -10 = -9*o + 4*o, -3*f + 158 = 4*o. Let b = f - -19. Calculate the remainder when b is divided by 18.
15
Let g(y) = -9*y**2 + 54*y + 5. What is the remainder when 74 is divided by g(6)?
4
Let o(v) = 28*v - 2. Let r be o(3). Let x = r - -3. What is the remainder when x is divided by (24/16)/3*44?
19
Suppose -7 = 4*a - 19. Let x(l) = -l**2 + 3*l + 10. What is the remainder when 17 is divided by x(a)?
7
Let j = -225 + 264. Calculate the remainder when j is divided by 6.
3
Suppose -d - 56 = -2*d - b, 0 = -3*d - 2*b + 165. Suppose -5 = 6*z - d. What is the remainder when 23 is divided by z?
7
Let c(z) = z**2 - 3*z - 5. Let a be c(5). Suppose 0*o - 75 = -a*o. Calculate the remainder when o is divided by 6.
3
Suppose 636 = 5*b - y, 2*b + y = -y + 264. What is the remainder when b is divided by 66?
62
Let u = 273 + -165. Calculate the remainder when u is divided by 28.
24
Let x(n) = -6*n. Let g be x(-6). Suppose -53 = -5*b - 4*f, 3*b - g = 2*f - 3*f. What is the remainder when 21 is divided by b?
8
Suppose -25*g + 21*g = -40. Suppose 4*a + 0*a + 5*h = 83, 0 = -h + 3. What is the remainder when (-18)/g*220/(-6) is divided by a?
15
Let b = -247 - -277. Calculate the remainder when 177 is divided by b.
27
Let t(p) = -10*p**3 + p**2. Let r = -9 + 9. Suppose r = -3*z + 23 - 2. Calculate the remainder when t(-1) is divided by z.
4
What is the remainder when 33 is divided by (34/10 - -1)*(9 + -4)?
11
Let d(h) be the second derivative of h**3/2 + 2*h**2 + 5*h. Calculate the remainder when 19 is divided by d(2).
9
Let q(o) = 19*o**2 + 1. Let u(y) = y + 5. Let i be u(-4). Suppose 2*k = -5*l + k + 31, -23 = -5*l - 3*k. What is the remainder when q(i) is divided by l?
6
Let v = 6 - -22. Suppose 0 = 4*t + v - 12. Let a = 25 + t. Calculate the remainder when 61 is divided by a.
19
Suppose g + 0 - 10 = 0. What is the remainder when 28 is divided by g?
8
Suppose 3*a = -5*c + 158, -4*a = -a + c - 166. What is the remainder when a is divided by (-3920)/(-294)*(-6)/(-4)?
16
Let c = 99 + 5. Let j = -33 + 36. Suppose 9*p - j*p = 126. Calculate the remainder when c is divided by p.
20
Let u(w) = -4*w**3 - 3*w**2 + 4*w + 1. Let i be u(3). Let c = -85 - i. Suppose c = -0*h + h. What is the remainder when h is divided by 19?
18
Let w = -1273 - -1284. What is the remainder when 361 is divided by w?
9
Let r = -13 - -15. Suppose -r*d + 0*i = i - 81, d = i + 36. What is the remainder when d is divided by 21?
18
Let r(b) = b**2 - 11*b + 25. Let d be r(7). What is the remainder when (0 + (-2 - -23))*(-8)/d is divided by 15?
11
Suppose 3*z + 48 = 2*n - 0*n, 0 = -4*n - 3*z + 96. What is the remainder when 328 is divided by n?
16
Suppose -3*o + 5*x + 280 - 85 = 0, 0 = o + x - 73. Let k = o - 54. Calculate the remainder when 141 is divided by k.
13
Suppose m - 4 = 0, 3*a - 18*m - 9134 = -23*m. Calculate the remainder when a is divided by 32.
30
Suppose 5*m - 112 = 3*s, m = s - 0*s + 34. Let w = s - -70. Calculate the remainder when w is divided by 11.
8
Suppose -3*h + 4*x - 28 = -7*h, -h - 2*x = -9. Suppose -h*b + u + 258 = 0, 5*u - 17 - 172 = -4*b. Calculate the remainder when b is divided by 11.
7
Let t = 600 + -570. Calculate the remainder when 147 is divided by t.
27
Let t = -2932 - -3132. Calculate the remainder when t is divided by 74.
52
Suppose 9*t - 45 = 4*t + 2*j, -2 = -t - j. Let c be (2 - 5) + t/1. Suppose -c*y + 365 = y. Calculate the remainder when y is divided by 25.
23
Suppose -24*c + 212 = -23*c. Suppose 5*y - 53 = c. Calculate the remainder when y is divided by 18.
17
Suppose 473*i = 475*i - 76. Calculate the remainder when 338 is divided by i.
34
Suppose -2*p - 1 = -79. What is the remainder when 49 is divided by p?
10
Let a(o) = -o**2 - 7*o + 8. Let f be a(-7). Let b(u) = -u**3 + 8*u**2 + 7*u + 19. Calculate the remainder when b(f) is divided by 19.
18
Let z = -37 + 84