((-6)/(-3) - -18) + 310/310.
16
Suppose 576*a + 3*u + 1176 = 577*a, 5*a - 4*u - 5957 = 0. Calculate the remainder when a is divided by 33.
9
Let r(y) = -2*y**2 + 151*y + 312. What is the remainder when r(73) is divided by 41?
21
Let d = 26 + -34. Let a be -4*(4 - (-42)/d). Suppose -a*i = -3*i - 18. Calculate the remainder when 14 is divided by i.
5
Let z = 51 + -17. Suppose 38*k - z*k - 108 = 0. Calculate the remainder when k is divided by (-3)/(3/(-10)) + 2.
3
Let t = 1472 + -246. What is the remainder when t is divided by 30?
26
Let k = 158 + -146. Let r = -210 - -456. Suppose 0 = -0*u + 3*u - r. What is the remainder when u is divided by k?
10
Let d(s) = s**3 + 49*s**2 - 4*s - 169. What is the remainder when 129 is divided by d(-49)?
21
Let k(x) = 3*x**2 - 2*x + 3. Suppose 2*q - 4*g = -22, -5*q + g + 2*g = 20. Let n be (-1)/3*q/(3/(-36)). What is the remainder when k(n) is divided by 31?
28
Suppose 0 = 4*c - 5*b + 24 + 13, c + 3*b + 5 = 0. Let r be (c + 0)/(22/(-11)). Suppose -5*a = r*a - 531. Calculate the remainder when a is divided by 20.
19
Let b = 132 + -124. Let x(p) = 2 + b + p - 5. Calculate the remainder when 96 is divided by x(12).
11
Suppose -24*u - 132 = -12. Let a(v) = v**2 - 4*v - 7. Calculate the remainder when 90 is divided by a(u).
14
Let v(l) = 26*l**2 + 2*l - 14. Suppose -q - 4*c - 20 = -3*q, -2*q + 18 = -5*c. What is the remainder when v(2) is divided by q?
10
Suppose -8*h - 30*h + 1750 = -834. Calculate the remainder when 271 is divided by h.
67
Let c be (3*2/4)/((-45)/(-60)). Suppose -c*a = -6*a - 0*a. Suppose a*i = i - 17. Calculate the remainder when 66 is divided by i.
15
Let k(b) = -690*b + 156. What is the remainder when k(-11) is divided by 26?
24
Let m(k) = k**2 + 127*k + 4023. Let p(x) = -58*x. What is the remainder when m(-48) is divided by p(-1)?
57
Let k be ((-33)/(-4))/((-12)/(-48)). Let p = k + -19. Calculate the remainder when p is divided by 5.
4
Let y(k) = 2*k**2 - 5*k - 8. What is the remainder when 66 is divided by y(5)?
15
Suppose -7*p = -977 + 242. Let l = 79 - 61. What is the remainder when p is divided by l?
15
Suppose 5*k + 35563 - 10639 = y, 2*k + 18 = 0. What is the remainder when y is divided by 311?
310
Let q = 2 - -10. Suppose q = 4*w - 8. Suppose w + 73 = 6*v. Calculate the remainder when 36 is divided by v.
10
Let z(s) = s**2 + 5*s - 1. Let r be z(-5). Let a be ((-6)/r)/((-3)/6 - -2). Calculate the remainder when (-60)/a*-3*184/60 is divided by 28.
26
Suppose -3*u + 5*r + 1556 = 0, 5*u = 3*r - 4*r + 2584. Suppose 218*c + u = 229*c. What is the remainder when c is divided by 2?
1
Let g(k) = -3*k + 50. Let d be g(16). Calculate the remainder when ((-427)/(-2))/7*d is divided by 8.
5
Let o(p) = 2*p**3 + 250*p**2 + 244*p - 226. Calculate the remainder when o(-124) is divided by 47.
35
Suppose 2*v = -3*v + 1605. Let f(k) = -423*k - 2492. What is the remainder when v is divided by f(-6)?
45
Suppose 5*r - 707 = -8*o + 7*o, 574 = 4*r - 2*o. Let l = -121 + r. Calculate the remainder when l is divided by 13.
8
Suppose 7*n - 1290 = 2*n. Let x = 2197 - 2168. What is the remainder when n is divided by x?
26
Let f = 1313 - 1184. Let h(i) = -i**3 + 7*i**2 + i + 2. Calculate the remainder when f is divided by h(6).
41
Let j = 5384 + -5353. Let i(n) = 90*n**2 + 1. Let f be 0 + 2*(-4)/8. What is the remainder when i(f) is divided by j?
29
Let i(q) = -q**2 - 8*q + 8. Let l be i(-8). Let v = -2809 - -2845. Calculate the remainder when l/(-8) + (142 - 0) is divided by v.
33
Suppose -40 = -55*f + 53*f + 5*m, -5*f = 2*m - 100. What is the remainder when 791 is divided by f?
11
Let q(v) = -2*v**3 - v**2 + 5*v + 5. Let w = 47 - 47. Calculate the remainder when w + 3/6 + (-201)/(-6) is divided by q(-2).
6
Let m(i) = -2*i - 1. Let s(y) = 21*y + 35. Let x be s(-8). Let q = 138 + x. Calculate the remainder when q is divided by m(-3).
0
Let x(f) = 5*f**2 + 7*f - 38. Let i(y) = y**3 - y + 2. What is the remainder when x(5) is divided by i(4)?
60
Suppose 0 = -m - m - 166. Let d = 35 + m. Calculate the remainder when 22 is divided by 3/2*d/(-18).
2
Suppose -1188 - 927 = -15*k. Let u = k + -65. Calculate the remainder when u is divided by 16.
12
Suppose -13 = -3*h + 2*h. What is the remainder when 85 is divided by (1 - -6)/(-10*h/(-130))?
1
Let s be ((-4)/(-12))/(3 - 7216/2406). Suppose -4*p + s = 385. What is the remainder when 8 is divided by p?
0
Let n = -6 + 9. Suppose -n = 4*r - 51. Let d(f) = 2*f**2 + 25*f - 20. Calculate the remainder when d(-14) is divided by r.
10
Suppose 8*q - 114 - 166 = 0. Suppose -q*s - 16*s = -969. Calculate the remainder when 73 is divided by s.
16
Suppose -32 = 2*p + 4*b, -5*p + 4*b = -3*p. Let h(g) = -g**3 - 10*g**2 - 28*g - 6. Calculate the remainder when h(p) is divided by 13.
12
What is the remainder when 433 is divided by ((-152)/20)/((-46)/115)?
15
Let q = -15 + -12. Let b = q - -29. Suppose 3*z + 5*v = z + 39, 5*z + b*v = 66. What is the remainder when 21 is divided by z?
9
Let h = 8 - 22. Suppose 19 - 4 = 5*g - 2*u, 0 = g - 4*u - 21. Calculate the remainder when 8*h/(-2)*g is divided by 20.
16
Suppose j - 6*j + 865 = 0. Let f = 51 + -49. Let b(s) = 2*s**2 - 2*s + 7. What is the remainder when j is divided by b(f)?
8
Let i be 204/(-714) + (-177)/(-7). Suppose -3*f - 6 + 37 = 4*q, -3*f + 2*q = -i. Calculate the remainder when 132 is divided by f.
6
Let y = 20 - -1. Suppose -5*c + y = -34. Suppose -5*d - 2 + 162 = 0. What is the remainder when d is divided by c?
10
Let u be (-2 - (-77)/28)/(4/96). Suppose y + u = 4*b, -4*y + 8 = -0*b + 4*b. Calculate the remainder when b is divided by 3.
1
Let t(p) = -4*p - 66. Let w = 46 + -61. Let k be t(w). Let d(b) = -b**2 - 8*b + 1. What is the remainder when 88 is divided by d(k)?
10
Let q = 34148 + -34140. Calculate the remainder when 1/((-1)/(-151)*1) is divided by q.
7
Suppose 0 = 4*u - 4*u + 11*u. What is the remainder when 32 is divided by (-3)/2 - (u + 174/(-12))?
6
Let o(i) = -i + 3. Let p(n) = 16*n + 171. Let l(s) = 3*o(s) + p(s). What is the remainder when 147 is divided by l(-11)?
36
Let f = 4936 + -4880. What is the remainder when 853 is divided by f?
13
Let p be (-2 + 2/4)*14/(-7). Let d(u) = -5 + 4*u - u**p + 9*u + 12*u**2 + 0*u**3 + 2*u**3. What is the remainder when d(-6) is divided by 45?
43
Let z = 47 + -22. Calculate the remainder when z is divided by ((-2)/5)/(58/(-1305)).
7
Let m(j) = -j**3 + 8*j**2 + 2*j - 9. Suppose -25*y + 24*y + 6 = 0. What is the remainder when m(y) is divided by 26?
23
Let d = 325 + -273. Suppose -2*f - p = 2*f - 201, f - 69 = -4*p. Let m = d - f. What is the remainder when 9 is divided by m?
0
Suppose 12*s + 282 = 15*s - 3*q, -3*s + 5*q = -270. Calculate the remainder when s is divided by 30.
10
Let f be (-1 - 3/6)/(9/(-30)). Suppose -s - 124 = -2*g, -f*s = -4*g + 40 + 196. What is the remainder when 190 is divided by g?
62
Suppose -296*i = -289*i - 14. Let x = i - -8. Calculate the remainder when 47 is divided by x.
7
Let b(n) = 76*n + 2974. What is the remainder when 188 is divided by b(-39)?
8
Suppose -21*s - 18955 = -4948. Let w = s - -701. What is the remainder when w is divided by 17 + -2*(-1 + 0)?
15
Let c = -106 + 113. Let t(k) = -k + 10. Let f be t(7). Let b(n) = n**3 + n**2 - n + 6. What is the remainder when b(f) is divided by c?
4
Suppose 2634*u + 13416 = 2720*u. What is the remainder when 50073 is divided by u?
153
Suppose 14*r = -11*r + 7*r. Suppose -33*b - 122 + 617 = r. Calculate the remainder when 117 is divided by b.
12
Calculate the remainder when (-10052)/(-24) + (-12)/(-72) is divided by 143.
133
Let y(c) = -151*c**3 - c**2 + c. Let t be 10/(-14) - 6/21. Suppose -7*q - 50 = -9*q. What is the remainder when y(t) is divided by q?
24
Let f(c) = -7*c**3 + 3*c**2 + 2*c + 1. Suppose 16 = -5*q - 3*d, -2*d = 2*q - q + 6. What is the remainder when f(q) is divided by (-2)/((-8)/68) + 0?
14
Let r(h) = 26*h**2 - h - 2. Let f be r(-1). Suppose -c - f = -4*l, l - 43 = 4*c + 12. Let x = c - -14. Calculate the remainder when 2 is divided by x.
0
Suppose 180 = -71*q + 76*q. Calculate the remainder when q is divided by ((-2)/4)/((-6)/156).
10
Let x(i) = -13*i**2 + 1135*i + 14. Calculate the remainder when x(87) is divided by 31.
21
Let h(v) be the second derivative of -v**5/20 + 5*v**4/4 + 8*v*