r when k/(-15) - (-21)/5 is divided by y(-8)?
1
Let g = 843 - 393. Let u = -438 + g. What is the remainder when 116 is divided by u?
8
Let z = -83 + 85. Suppose -5*b = h - 0*h - 89, -4*b = -4*h - 52. What is the remainder when 100/8*z/1 is divided by b?
8
Suppose 0 = -15*c + 26*c + 11. What is the remainder when (-4 - 5/(-1))/(c/(-61)) is divided by 1/2 - 62/(-4)?
13
Suppose -3665 = -10*y - 755. Let d = y - -36. Calculate the remainder when d is divided by 21.
12
Suppose -2*u + 11 = o, -3*u + o - 8 = -22. Suppose 0 = 4*y + u*m - 417, 0 = -3*m + 12 + 3. What is the remainder when y is divided by 31?
5
Let a(c) = -c**2 + 25*c - 115. Let p be a(7). Calculate the remainder when 26 is divided by (p/((-374)/(-51)))/(2/12).
8
Suppose 490 = 2*h - 2*r + r, -r = 5*h - 1197. Calculate the remainder when h is divided by 35.
31
Let v(h) = -2*h**3 - 53*h**2 + 25*h - 9. Let p be v(-27). Suppose 3*w + 4*c = p, w + 5 = 2*w - 2*c. Calculate the remainder when 129 is divided by w.
8
Suppose -1027*j = -1017*j - 650. Let v(d) = 2*d**2 - 10*d - 8. What is the remainder when j is divided by v(7)?
5
Let i = 5433 + -4058. What is the remainder when i is divided by 17?
15
Let a(x) = x**3 - 6*x**2 - 46*x - 49. Suppose -3*w + 5*w - 3*z = -16, -18 = 3*w - 3*z. What is the remainder when a(11) is divided by (-1 + 27)/((-4)/w)?
11
Let h = 10166 + -9514. What is the remainder when h is divided by 16?
12
Suppose -65*x = -62*x - 201. Let h = x - 27. What is the remainder when 199 is divided by h?
39
Let o(n) = 29*n - 582. Suppose -3*l - 125 + 515 = 0. What is the remainder when l is divided by o(21)?
22
Suppose -5*c + 5*q + 180 = 0, 126 = 6*c - 2*c + 2*q. Suppose -5*k - 115 - 120 = 0. Let g = -38 - k. What is the remainder when c is divided by g?
6
Let v = 36 + -1. Suppose 5*p + v = -5*c, -13 = p + 3*p + c. Let o(l) = -8*l**3 + l**2 + 2*l + 2. Calculate the remainder when o(p) is divided by 23.
20
Suppose -2*v = 3*f + 105 + 54, 3*v + 9 = 0. Let z = f + 50. What is the remainder when 2 is divided by z/6 - 39/(-18)?
0
Let f(q) be the first derivative of -q**4/4 - q**3/3 - q**2/2 + q - 174. What is the remainder when ((-64)/(-6))/(1/6) is divided by f(-3)?
20
Suppose 0 = s - 4*t - 14, 4*s + 4*t - t = 75. Calculate the remainder when 21468 is divided by s.
12
Let u(k) be the first derivative of 2*k**3/3 - 15*k**2/2 + 41*k - 100. Calculate the remainder when 76 is divided by u(3).
6
Let g(u) = 11*u**3 - u**2 + 2. Suppose f = 29*y - 25*y - 178, -4 = 2*f. What is the remainder when g(2) is divided by y?
42
Let j(u) = 15*u - 7. Let g be j(-1). Let w = g + 74. Let l(b) = -b**3 - 10*b**2 - 8*b + 20. Calculate the remainder when w is divided by l(-9).
8
Suppose -920475 - 108796 = -251*h - 32*h. Calculate the remainder when h is divided by 1210.
7
Let s(n) = -n**2 + 5*n + 8. Let i be s(0). Suppose -4*v + 74 = 3*x + v, -2*x + 48 = 4*v. What is the remainder when ((-208)/14)/(i/(-28)) is divided by x?
24
Suppose 13*p + 17*p + 480 = 0. Calculate the remainder when (518 + 19)*(-1 - p/12) is divided by 54.
17
Suppose 9*t - 3*x - 534 = 6*t, -x = 5*t - 902. Suppose 4*u + t = 2*b, -2*b - 2*u = -60 - 114. What is the remainder when b is divided by 9?
7
Let j(o) = -o**2 - 18*o + 14. Let v be j(-18). Suppose 0 = -v*b + 234 - 66. Calculate the remainder when 55 is divided by b.
7
Let w = -5862 - -6948. What is the remainder when w is divided by 136?
134
Let l be (1064/(-112))/((-1)/2). What is the remainder when (2/(-3))/(l/(-3762)) is divided by 17?
13
Let v be 2/23 - (-144)/(-69). Calculate the remainder when 404/2 + v + -3 is divided by 33.
32
Let q(r) = 215*r + 2008. Let u(z) = z**3 + 12*z**2 + 9*z + 10. What is the remainder when q(-9) is divided by u(-11)?
9
Let j be (-1)/(5/15) + 10. Suppose -w + 7 + 0 = -d, -4*w - 17 = 5*d. Suppose -2*y = m + 3, 3 = -4*m + w*y - j*y. What is the remainder when 10 is divided by m?
1
Suppose 17*i - 318 = 23*i. Let t = -51 - i. What is the remainder when (13 - (3 - t)) + -4 + 7 is divided by 6?
3
Suppose 17*l - 19297 + 18056 = 0. What is the remainder when 7006 is divided by l?
71
Let c = -1458 - -1562. What is the remainder when 22460 is divided by c?
100
Let m be (2 + 1 + -2)*-1. Let s(a) = -42*a**3 - 2*a**2 + 1. Let z(f) = -3*f**2 + 34*f + 558. Calculate the remainder when s(m) is divided by z(-9).
5
Let z be (-1)/2 - 27/(-6). What is the remainder when (1 + 78 - z) + 1 is divided by 11?
10
Suppose 73 + 71 = -4*i. Let n(c) = 2*c - 71. Let a be n(14). Let z = i - a. Calculate the remainder when 15 is divided by z.
1
Let f be (0 + 0)/(-3 - -2). Suppose 32 = h + 3*t, f = 5*h + 8*t - 3*t - 170. Let i(x) = 5*x**2 - 2*x + 2. What is the remainder when i(-5) is divided by h?
32
Let v be (-2 - -8)/(((-1)/1)/(-42)). Suppose 4*u - v = -14*u. What is the remainder when u is divided by 8?
6
Suppose 0 = 136*i - 31*i - 52290. Calculate the remainder when i is divided by 122.
10
Suppose 2*j = -g + 39 + 40, -5*j - 2*g = -198. What is the remainder when j is divided by -1 + -2 - (0 + 4 - (187 + -174))?
4
Let t = 6 - -3. Let h be 2/7 - (7344/14)/t. Let f = h + 73. Calculate the remainder when 44 is divided by f.
14
Let z = -26 + 30. Suppose 76 = z*u - 5*u. What is the remainder when 35 is divided by (1/(-2))/(0 - (-2)/u)?
16
Suppose -4*w + 127 - 23 = 0. Calculate the remainder when (-64)/416 - ((-2760)/w + -1) is divided by 27.
26
Let i(g) = 7*g + 1073. Calculate the remainder when i(-44) is divided by 239.
48
Let m = -19103 + 19110. Calculate the remainder when 59/2*4/1 is divided by m.
6
Suppose 0 = -n, -6*n + 2*n - 454 = -2*o. What is the remainder when o is divided by 101?
25
Let t(c) = c**2 - 6*c - 2. Let o be t(7). Suppose a - 56 = o*a. Calculate the remainder when 49 is divided by (-82 - a)*1/(-4).
15
Let t = 20203 - 19433. Calculate the remainder when t is divided by 45.
5
Suppose 74*h = 144*h - 50*h - 55720. What is the remainder when h is divided by 18?
14
Suppose 0 = 9*c - 11*c + 306. Let u = c + -148. Calculate the remainder when u is divided by 4.
1
Let l(u) = -u**3 - 56*u**2 + 135*u - 632. What is the remainder when l(-59) is divided by 612?
10
Let a = 82 + 7. What is the remainder when 2667*1308/(-2180)*(-5)/9 is divided by a?
88
Suppose -2*r + 21 = -31. Calculate the remainder when 389 is divided by r.
25
Suppose 5*s + 3*t = 91, s + 7 - 21 = -2*t. Let a be (16/s)/(4/630) + 3. Suppose 0*q - a = -3*q. Calculate the remainder when q is divided by 23.
20
Let j(h) = h + 82. Let v(n) = n**2 + 6*n - 8. Suppose 5*u + 2*q = -0*u - 44, -2*u = -2*q + 12. Calculate the remainder when j(-11) is divided by v(u).
7
Suppose -44*o + 135 = -39*o. Let t(z) = -z + 13. Calculate the remainder when o is divided by t(3).
7
Suppose 0 = 6*i - i + 40. What is the remainder when ((-34)/8 + 0)/((-5)/60) is divided by i/(-68) - (-438)/34?
12
Suppose 5449 = 124*b - 5956 - 7939. What is the remainder when 196 is divided by b?
40
Let f(k) = -43*k + 47. Calculate the remainder when f(-4) is divided by 107.
5
Suppose 8*o + 0*o = 160. What is the remainder when (-2)/10 + (-352)/(-10) is divided by (-2 - (-3)/3) + o?
16
Suppose 0 = -2*m + 2*h + 1158, -2893 = -5*m - 5*h + 9*h. What is the remainder when m is divided by 74?
59
Suppose -5*w = -25, 174 = 2*q + w + 67. Calculate the remainder when 1234 is divided by q.
10
Let r(v) = 90*v**2 - 22*v - 347. Calculate the remainder when r(-12) is divided by 159.
157
Let j be (-5 + 0)*36/10. Suppose 0 = 3*g + s - 90, 5*g - 6*s = -2*s + 167. Let f = g + j. Calculate the remainder when 38 is divided by f.
12
Let p(f) = -2*f - 52. Let q be p(-28). Suppose -5*i + 4*x = -227, -9*i + 6*i + q*x + 133 = 0. What is the remainder when i is divided by 23?
1
Let c(n) = -65*n + 937. What is the remainder when c(13) is divided by 37?
18
Let q be (-1 - 147/35)*(0 + -90). Suppose 0 = -2*g + 2*y + q, g - 2*y - 233 = -0*y. Calculate the remainder when g is divided by 40.
35
Let j(i) = 2*i**2 - 110. Let q be j(0). Let x = q - -113. Let o(c) = 8*c**3 + 2*c**2 + 2*c - 9. What is the remainder when o(x) is divided by 39?
36
Suppose -3*n + 1168 = 4*v + 284, -5*v = 2*n - 1112. Let l = 280 - v. What is the remainder when 446 is divided by l?
54
Suppose 4341 = 30*g - 2859. What is the remainder when g is divided by 49?
44
Let a(p) = -74*p**3 - 2*p**2 - 4*p - 2. Calculate the r