
Suppose 0 = 3*a - 11*a + 48. Suppose -a*j - 11 = -89. What is the remainder when (-1)/(-2) + (-71)/(-2) is divided by j?
10
Suppose 0*l + 3*l - 66 = 0. Suppose -5*c + 30 = 5*h, -2*h + l = 4*c - 0*h. Suppose 0 = c*p - 0*p - 50. What is the remainder when 35 is divided by p?
5
Suppose k - 728 = -7*k. Let y = -59 + k. What is the remainder when 117 is divided by (-150)/40*y/(-6)?
17
Let v(z) = -z**3 + 14*z**2 - 30*z + 20. Let o be v(13). Let w = 220 + o. Let g = -19 + 68. Calculate the remainder when g is divided by w.
11
Let b(l) = -l**3 + l + 56. Calculate the remainder when b(0) is divided by -7 + 2 - (42/4)/((-786)/1048).
2
Suppose 51*y - 18*y - 1485 = 0. What is the remainder when y is divided by 23?
22
Let z(m) = m - 5. Let u be z(11). Let l(h) = 3*h**2 - 16*h + 8. Let g(s) = s**3 - 8*s**2 - s + 19. Calculate the remainder when l(u) is divided by g(8).
9
Suppose -17 = 37*i - 20*i. What is the remainder when (i/4)/(2/124)*-2 is divided by 5?
1
Let f = 112 + -48. Let u = -69 + f. Let j = u - -19. What is the remainder when 53 is divided by j?
11
Suppose 9787 + 7899 = 37*f. Calculate the remainder when f is divided by 116.
14
Suppose 0 = -2*w + 7*w - 70. Let i = 3180 - 3145. Calculate the remainder when i is divided by w.
7
Suppose 90 = 3*i - 45. Suppose -59*w + 13*w + 6164 = 0. Calculate the remainder when w is divided by i.
44
Suppose 2083 = 39*r - 424 + 479. What is the remainder when 1712 is divided by r?
48
Suppose 0 = 3*n + 101128 - 101707. Calculate the remainder when n is divided by 56.
25
Suppose 0*c + 16 = o + 5*c, -3*o + 138 = -3*c. Suppose -9*t + 5*j + 960 = -5*t, 2*t - j = 486. What is the remainder when t is divided by o?
40
Let x = 126 - 121. Suppose -4*h + 24 = x*b - 9*b, 12 = -h - 5*b. What is the remainder when 40 is divided by h?
1
Suppose 0*t + 5*s = 5*t - 770, -3*t = 4*s - 462. Suppose -12*u + 5*u + t = 0. Suppose u*f - 24*f = -32. What is the remainder when 46 is divided by f?
14
Let n(p) = -7*p**2 - 54*p - 7. What is the remainder when 384 is divided by n(-4)?
93
Suppose -5*s = -3*z, -2*s + 5*z = 2*s. Suppose -5*f + 91 + 314 = s. Let o = f - 63. What is the remainder when o is divided by 5?
3
Let b(t) = 3*t**2 + 105*t + 65. Let z be (-35)/(-2)*((-35)/(-5) + -9). Calculate the remainder when 517 is divided by b(z).
62
Let i = -76 - -78. Suppose -3*x - 69 = -5*t, 5*t - i*t - 41 = 2*x. What is the remainder when 298 is divided by t?
13
Suppose 128 = 23*j - 465 - 97. What is the remainder when 3743 is divided by j?
23
Suppose f + 4*f - 2*a = 20, 5*f - 25 = a. Suppose -4*r + 3*r = -126. Suppose i = -f*i + r. Calculate the remainder when 70 is divided by i.
16
Let h = 289 + -284. Suppose q - 2*p = 40, 2*q - h*p - 55 = q. Calculate the remainder when 58 is divided by q.
28
Suppose -12 = 4*z - 0*z. Let n(x) = x**3 - 8*x**2 + 18*x + 6. Calculate the remainder when n(5) is divided by 0 + z/(3/(-13)).
8
Let r(t) = 289*t - 2851. Calculate the remainder when (-2)/(-4)*542*1 is divided by r(10).
37
Let k be (-2)/(33/195 - 1/5). Suppose 5*y = -a + k, a + 175 = 4*a + 5*y. What is the remainder when a is divided by 15?
10
Let r be 5/((-50)/8)*(-1620)/(-18). Let g = 88 + r. Suppose 4*x - 219 = 9. What is the remainder when x is divided by g?
9
Let c(w) = -w**2 + 24*w + 1008. What is the remainder when c(42) is divided by 65?
57
Let l(o) be the first derivative of -4*o**3/3 - 51*o**2/2 - 5*o + 95. What is the remainder when l(-8) is divided by 15?
12
Let s(n) = -n + 24. Suppose -5*l - 21 + 1 = 0. What is the remainder when s(16) is divided by 6/l - (-4 + (-21)/6)?
2
Let w(i) = 26*i + 1. Let f be w(8). Suppose 5*o - f = -119. Let x = -69 + 136. What is the remainder when x is divided by o?
13
What is the remainder when (187407/(-11))/(-9) + -9 + 1 is divided by 30?
25
Let v(r) be the first derivative of r**4/4 - 19*r**3/3 - 9*r**2 - 19*r + 29. What is the remainder when 62 is divided by v(20)?
20
Let j(v) = 9*v**2 + v - 9. Let f be j(3). Let l = -34 + f. What is the remainder when l is divided by 11?
8
Suppose -3*k + 2*l + 565 + 372 = 0, 0 = 5*l + 25. Calculate the remainder when k is divided by 77.
1
Calculate the remainder when 116 + -4 + -7 + 18/(-3) is divided by 1*((-100)/(-2) + 1).
48
Let g(s) = 197*s**2 + 46*s + 95. Calculate the remainder when g(-2) is divided by 61.
59
Suppose 2*i - 9 = 215. Suppose -c + 2*x = -3*x - 45, -x + i = 2*c. Calculate the remainder when c is divided by (-2415)/(-350) - 2/(-20).
6
Let w be 37448/40 + 1/(-5). Suppose -5*g + w = -2*n, 0 = 4*g - g + 3*n - 570. Let x = 2570 + -2551. Calculate the remainder when g is divided by x.
17
Suppose -6 = 3*t - 108. What is the remainder when t is divided by (6/9)/((10/24)/(525/140))?
4
Suppose 0 = 3*u + 5*l - 127, -5*u - 5*l + 48 = -147. Let s = 43 - 27. Calculate the remainder when u is divided by s.
2
Suppose 4*n = 4*b - 36, 4*b - 5*n - 3 = 6*b. Let s be (3/9*6)/((-4)/b). Calculate the remainder when 22 is divided by (-40)/12*s/2.
2
Let w = -47489 + 47551. Let c(d) = 2*d - 1. What is the remainder when w is divided by c(3)?
2
Suppose -3*u + 10*o - 8*o = 188, u - 2*o = -56. Let p(y) = 6*y - 3. Calculate the remainder when p(6) is divided by 10*(-45)/u - (-42)/231.
5
Suppose -7*u + 413 = -151 - 297. What is the remainder when u is divided by 63?
60
Let n(y) = -1132*y - 6248. Calculate the remainder when n(-6) is divided by 61.
56
Let n = -37 - -39. Suppose p + 49 = n*p. Suppose 5*c - 68 = c. Calculate the remainder when p is divided by c.
15
Let v = -89 + 113. Let i = v + -19. What is the remainder when 1025/35 + (-6)/21 is divided by i?
4
Suppose 3*w - 196 = g + 307, -5*w + 825 = 5*g. Calculate the remainder when 4675 is divided by w.
166
Let z(r) = -2*r**2 + 104*r - 60. Calculate the remainder when 2099 is divided by z(50).
139
Suppose -75 = 11*f - 372. Calculate the remainder when ((-1)/((-5)/116))/(222/555) is divided by f.
4
Suppose -6*n - 8 = -56. Suppose 5*c - 3*q = n, -4*q + 12 = -3*c + 2*c. What is the remainder when 80 is divided by c/12*111 - -4?
39
Let b(f) = f**3 - 12*f**2 - 10*f + 55. Let w(d) = d**2 - 5*d + 6. Let j be w(4). Calculate the remainder when b(13) is divided by 30 - (0 - j - 0).
30
Let f(t) = -27*t**2 + 221*t - 29. Calculate the remainder when 1799 is divided by f(8).
6
Let k = 1957 - 1939. What is the remainder when 1061 is divided by k?
17
Let y(g) = g**3 - 10*g**2 + 18*g + 10. Let l be y(8). Calculate the remainder when 18 is divided by (-41 + l)/(-1 - 2).
3
Suppose 340*q - 304*q = 4968. What is the remainder when q is divided by 30?
18
Let f = 16930 + -16227. What is the remainder when f is divided by 275?
153
Let t = -336 + 433. What is the remainder when t is divided by (-12)/(-6) + 6*(6 - 3)?
17
Let v = 570 - 567. Suppose -2*i + 4*o = -50, -3*i = -v*o + 13 - 76. Calculate the remainder when 389 is divided by i.
15
Suppose -1149 = 4*l - 5*s, -286 = 3*l - 2*l - s. Suppose -5*b - 775 = 5*y, b - y = -141 - 14. Let w = b - l. Calculate the remainder when w is divided by 32.
30
Let d be ((-2)/5)/(-2) + 104/130. Let h(i) = 53*i**3 + 6*i**2 - 5*i + 2. What is the remainder when h(d) is divided by 20?
16
Let n = 25 - -169. Let p = n - 176. Calculate the remainder when 88 is divided by p.
16
Suppose -5*l + 10 = 0, 18*x = 13*x - 5*l + 30. Let v = 9 + -4. Suppose m - 38 = v*d, 5*d = x*m - 0*d - 167. Calculate the remainder when m is divided by 11.
10
Let y(z) = 57*z**2 - 845*z + 52. Calculate the remainder when y(17) is divided by 114.
108
Let v(q) be the first derivative of 14*q**2 - 2*q + 8. Let r = -282 + 283. What is the remainder when v(r) is divided by 14?
12
Let d(v) = -35*v - 467. Calculate the remainder when 505 is divided by d(-14).
22
Let d(z) = 6*z**2 - 14*z + 15. Let f be d(8). Let q = f + -250. What is the remainder when 71 is divided by q?
34
Let f = -13102 + 15520. What is the remainder when f is divided by 160?
18
Suppose -4*m + 1780 = 5*x, 4*m - 6*m - 4*x = -884. What is the remainder when 376 is divided by (m/375)/((2 - 1)/45)?
52
Let x(b) = 0 + 10 + b - 1. Suppose -2*j + 1 + 23 = -3*q, 2*q + 31 = 3*j. What is the remainder when x(6) is divided by j?
6
Let l(v) = -32*v - 67. Let r be l(21). Let i = r + 1065. What is the remainder when i is divided by 30?
26
What is the remainder when (-106 - -216)/(2/25) is divided by 12?
