alculate the remainder when 47 is divided by b(-4).
13
Suppose 25*q - 14310 = -5*q. Calculate the remainder when q is divided by 16.
13
Suppose -5*v = -4*b - 49, 4*v + 4*b - 4 = 28. Suppose -i = -4*i - v, -2*i = 2*t - 24. Calculate the remainder when 102 is divided by t.
12
Suppose u - 20 = 5*r, r - 3*r + 100 = 5*u. Let i(v) = v + 9. Let c be i(-10). Calculate the remainder when 2/(-4)*(-77 - c) is divided by u.
18
Suppose -7*s = -5*s - 74. Calculate the remainder when 366 is divided by s.
33
Let x(g) = -g**2 - 3*g + 79. Calculate the remainder when x(0) is divided by 1 + 16 + 0 + 3.
19
Calculate the remainder when 2/13 + 3 + 1080/78 is divided by 9.
8
Let q(p) = p**3 - 3*p - 3. Let u(k) = -6*k + 53. Let i be u(-10). Let t = i - 109. Calculate the remainder when q(3) is divided by t.
3
Suppose 516*q + 56 = 523*q. Let r(l) = l**3 + 8*l**2 + l - 8. Let z be r(-6). Suppose -2*i = -4*i + z. Calculate the remainder when i is divided by q.
5
Let k be 2/(-6)*30/(-5). Suppose -2*q + 180 = k*q. Suppose q = m - 3*w, -m + w = 14 - 59. What is the remainder when m is divided by 8?
5
Calculate the remainder when 236 is divided by 2/(-2)*-13 + 11.
20
Let l = 203 + -191. Let k be 22/6 + 4/(-6). Suppose 3*d = 2*n + 6*d - 68, -n + k*d + 34 = 0. What is the remainder when n is divided by l?
10
Suppose -15*b = -19*b + 444. Calculate the remainder when b is divided by 30.
21
What is the remainder when -1*(-93 - 8)*1 is divided by 2?
1
What is the remainder when 35/15 - 2 - 6081/(-9) is divided by 22?
16
Let j(u) = -u**3 + 19*u**2 - 3*u - 9. Let b(d) = -3*d**3 + 56*d**2 - 8*d - 27. Let o(z) = 4*b(z) - 11*j(z). Calculate the remainder when 19 is divided by o(15).
1
Let y(a) = -a**3 + a**2 + 1. Let k be y(2). Let n = k + 3. Calculate the remainder when (n + 14)/((-6)/(-33)) is divided by 20.
17
Suppose 2*r - 202 = 394. What is the remainder when r is divided by 50?
48
Let s be (5 - 8) + 229*1/1. Let y = s + -80. Calculate the remainder when y is divided by 37.
35
Let s(l) = 4*l + 18. Calculate the remainder when s(9) is divided by 1/(20/8 - 651/266).
16
Suppose 7*z = 9*z. Let m be z/(-2) - 29 - -3. Calculate the remainder when (-2)/(-13) + (-542)/m is divided by 12.
9
Suppose 5 = 2*l + 1. Suppose -l*q = -5*q. Suppose -21 = -a - q*a. Calculate the remainder when a is divided by 12.
9
Let u(h) = -h**2 - 32*h - 162. What is the remainder when 155 is divided by u(-9)?
20
Calculate the remainder when 60 is divided by 0 - (63/(-7) + 4) - -42.
13
Suppose -5*w + 20 + 110 = 0. Calculate the remainder when 84 is divided by w.
6
Suppose -6*x + x + 54 = -3*m, 2*x - 5*m - 33 = 0. Let r = 24 + -20. What is the remainder when x is divided by r?
1
Let t = 208 + -180. What is the remainder when 45 is divided by t?
17
Let d be (64/24)/((-4)/(-6)). Suppose -d*n = -39 + 7. What is the remainder when 28 is divided by n?
4
Suppose -5*s + 0*s - 35 = 0. Let w = 12 + s. Let i = 1320 - 1306. Calculate the remainder when i is divided by w.
4
Let o(g) = 4*g - 19. Let c = 39 + -32. What is the remainder when o(c) is divided by 5?
4
Let n be 8*(1 - 10/(-4)). Suppose 2*u = 2*l + 3*l - 481, -5*l - 2*u + 469 = 0. Suppose 3*r = l + n. Calculate the remainder when r is divided by 11.
8
Suppose -3*m - 5*a = -670, 74*m - 5*a + 440 = 76*m. Calculate the remainder when m is divided by 18.
14
Let c(d) be the third derivative of d**5/15 - d**4/8 + d**3/3 - 8*d**2. Calculate the remainder when 86 is divided by c(3).
28
Let u = 17 - -20. Suppose f = -8 + u. Suppose -3*y - 93 = -4*y + 2*w, 4*y - 3*w = 352. Calculate the remainder when y is divided by f.
27
Suppose -5*a + 350 = -3*i, a + i - 70 = 4*i. Let d be (126/a)/((-2)/(-20)). Let f = 6 + d. What is the remainder when f is divided by 13?
11
Let r = -2 - -16. Suppose -4*v + r = -46. Let k = 19 - v. Calculate the remainder when k is divided by 4.
0
Let u = -97 + 89. Let f = 23 + u. What is the remainder when f is divided by 6?
3
Suppose j - 5*k = 57, -4*k + 86 + 22 = 4*j. Calculate the remainder when 66 is divided by j.
2
Suppose -2*d + 273 = 5*d. Let h = d - 34. Suppose 5 = h*w - 25. What is the remainder when 28 is divided by w?
4
What is the remainder when 247 is divided by (-4 + 7 - -15) + 14 + -19?
0
Let o = -6 - 8. Let t = -12 - o. Calculate the remainder when -1*t*(-14)/4 is divided by 3.
1
Suppose -9*l + 5918 = 203. What is the remainder when l is divided by 11?
8
Let f = 124 + -61. Let c(d) = -4*d - 1. Let b be c(4). Let l = 33 + b. Calculate the remainder when f is divided by l.
15
Let n(w) = w**3 - 11*w**2 + w - 3. Let r(j) = -j**2 - 31*j + 104. What is the remainder when n(11) is divided by r(-34)?
0
Let s = 14 - 14. Suppose 0*x = 5*x - 2*k - 86, -4*x - k + 61 = s. What is the remainder when 63 is divided by x?
15
Let s = 20 - 14. Let t(y) = 2*y - 2. Let c be t(3). Suppose -r - c = 0, -4*r - 20 = -2*h + 38. What is the remainder when h is divided by s?
3
Suppose 75 = -2*o + 7*o. Suppose -4*j + j - 4*m + o = 0, -m = 0. What is the remainder when 11 is divided by (1 - 0) + -2 + j?
3
Suppose -95 + 947 = 4*q. Suppose 1305 = 12*w + q. Calculate the remainder when w is divided by 19.
15
Suppose -2*z - 225 = -11*z. Suppose -22 - 1 = -5*d - y, d + 5*y - 19 = 0. Suppose -d*t + 43 + 9 = 0. What is the remainder when z is divided by t?
12
Let y = -67 + 125. Let g(z) = -z**2 - 9*z - 8. Calculate the remainder when y is divided by g(-6).
8
Suppose -2*x = 0, 14 = -3*u + 4*x + 56. What is the remainder when -7 + (-184)/(-28) + 1014/u is divided by 25?
22
Suppose -5*v - 4 = -79. Let j(f) be the first derivative of 11*f**2/2 - 7*f - 3. What is the remainder when j(6) is divided by v?
14
Let t be (-6)/(-4)*(-2 + 48/9). Suppose -t*s + 30 = -465. Calculate the remainder when s is divided by 51.
48
Suppose -106*m - 4522 = -123*m. Calculate the remainder when m is divided by 18.
14
Suppose -32*k - y = -31*k - 101, 5*k - 485 = 5*y. What is the remainder when k is divided by 51?
48
Let p(c) = -7*c - 22. What is the remainder when 334 is divided by p(-10)?
46
Let y(f) = -118*f**3 + f. What is the remainder when y(-1) is divided by 60?
57
Let w(z) = -z + 29. Calculate the remainder when 42 is divided by w(21).
2
Let p(f) be the second derivative of 3*f**2 - 1/6*f**3 - 1/12*f**4 + 1/20*f**5 + 0 - 2*f. Calculate the remainder when 11 is divided by p(0).
5
Let d = -421 - -280. Let w be (-3)/15 - d/5. Let p = -10 + w. What is the remainder when p is divided by 5?
3
Let m be 21/18 + (13/(-6) - -2). Suppose -y + i + 2 = m, -3*i + 12 = 2*y. What is the remainder when 25 is divided by y?
1
Let h(g) be the first derivative of g**3/3 - 3*g**2 - 3*g + 10. Let q be h(6). What is the remainder when q/(-2) - (-344)/16 is divided by 5?
3
Let h = 11 - 7. Let s(y) = -24*y + 2. Let b be s(-1). Let j = -23 + b. Calculate the remainder when h is divided by j.
1
Suppose -11*r = -494 - 199. Suppose -10 = -w + 22. Calculate the remainder when r is divided by w.
31
Let i(o) = 7*o - 41. Suppose -y + 2 = 0, u = -2*u + 2*y + 20. Let f(l) = 4*l**2 + 3*l - 1. Calculate the remainder when f(-3) is divided by i(u).
11
Suppose -34*k = -39*k - 2*s + 163, -3*s - 3 = 0. Let v(u) = 2*u**2 - 4*u - 3. What is the remainder when k is divided by v(-2)?
7
Suppose 2*r - 112 = 444. What is the remainder when r is divided by 60?
38
Suppose t = 3*r + 6, 4*r + 2 = 3*r + 5*t. What is the remainder when 117 is divided by (-35 - 1)*r/6?
9
Suppose -3*z + 27 = 3*j, -2*z - 36 = 3*j - 7*j. Calculate the remainder when 12 is divided by j.
3
Calculate the remainder when 174 is divided by (-12)/(-8)*-11*(-20)/6.
9
Suppose -7*o = -11*o + 3*i + 218, -589 = -11*o + 3*i. Calculate the remainder when 2489 is divided by o.
51
Let r be 20/(-40) - 9/(-2). Suppose 2 = 3*q - q, -s = -r*q - 9. Calculate the remainder when 37 is divided by s.
11
Let n(v) = -v + 4. Let a be n(2). Let c be ((-19)/38)/(a/(-56)). What is the remainder when 27 is divided by 7/c + 27/2?
13
Suppose -13*b - 42 = -211. Let x(k) = -k**3 + 4*k**2 + k - 3. Let y be x(4). What is the remainder when 3/(-3)*(-38 + y) is divided by b?
11
Suppose 467 - 440 = 3*d. Calculate the remainder when 9 is divided by d.
0
Let n(y) = -y**3 + 4*y**2 - 3*y + 4. What is the remainder when 3 + -1 + 2 + 37 is divided by n(3)?
1
Let c(k) = -k**2 + 7*k - 2. Suppose -h = 12 - 67. Supp