 is the remainder when 32 is divided by q/(-6) - (-12)/(-9)?
14
Suppose -476 = -5*q - f + 478, 396 = 2*q + 4*f. Calculate the remainder when 583 is divided by q.
13
Let p(d) = -4*d + 83. Suppose g + 26 = 4*v - v, -3*v + 3*g + 30 = 0. Calculate the remainder when 91 is divided by p(v).
40
Suppose 4*k - 24 = -0*w - 2*w, -3*k + 46 = 5*w. Suppose -3*a - a = w. What is the remainder when a/5 - -2*127/10 is divided by 7?
4
Let g(b) = -3*b**3 + 3*b**2 + 3*b - 8. Let y be g(2). Let l(o) = 5*o + 99. What is the remainder when 56 is divided by l(y)?
27
Let z be 6/4*4/(-3). Let p(u) = -u**2 - 180*u + 9885. What is the remainder when p(44) is divided by z*(1 + 0) - -10?
5
Let p = 4 + 1. Suppose -14 = -4*c + c + p*z, c - 5*z + 12 = 0. Calculate the remainder when c is divided by 132 + -115 - (26 + -10).
0
Let r = -5857 - -7204. Calculate the remainder when r is divided by 18.
15
Let a = 12 + -7. Suppose 7*f - 5*f = -4*m + 14, 0 = f - m - 1. What is the remainder when a is divided by -2 - (0 - -1)/(f/(-15))?
2
Suppose q - 26 = -q. Let a = -79844 + 79917. What is the remainder when a is divided by q?
8
Let s(u) = u**2 + 13*u + 7. Let r be s(-12). Suppose -69*m + 60*m = -108. Calculate the remainder when 5/(r/(-54)) + 4 is divided by m.
10
Let c = -74 - -85. Suppose 5*r = 25, -4*i + 4*r = 3*r - c. Suppose -i*n = -26 - 18. Calculate the remainder when 24 is divided by n.
2
Calculate the remainder when (-1 + 2 - -259) + 27/3 is divided by 105.
59
Let n(l) = 178*l - 450. Calculate the remainder when 219 is divided by n(3).
51
Let y = -107 - -107. Suppose 0*a + 5*a - 130 = -5*m, y = 3*m - 4*a - 71. What is the remainder when 172 is divided by m?
22
Suppose 0 = 2*f - c - 11 + 4, -9 = 3*c. Let j be 418/3 + f + 22/(-66). Let x = -122 + j. What is the remainder when 61 is divided by x?
4
Let g(r) = 7*r**3 - 100*r**2 + r - 27. What is the remainder when g(15) is divided by 86?
81
Let v(i) = -2*i - 7. Let j be 1*-2 - (-462)/3. Let s be 8/60 - j/15. Calculate the remainder when 51 is divided by v(s).
12
Suppose 4*y - 24 = -c, c - 2*y - 20 - 4 = 0. Suppose 0 = -96*n + 49*n + 5*n + 840. Calculate the remainder when c is divided by n.
4
Suppose 11*g - 1274 = 970. Let o = 214 - g. What is the remainder when 67 is divided by o?
7
Let z = -2730 + 2762. Calculate the remainder when 677 is divided by z.
5
Let x(l) = -2*l**3 + 33*l**2 + 20*l + 26. Let t be x(15). Let r = t - 973. Calculate the remainder when r is divided by 17.
11
Suppose 13 = -l + 2*c, 11*l - 16*l - c = 43. Let j(p) = -5*p - 8. Let t be j(-6). Let m = t - l. Calculate the remainder when m is divided by 16.
15
Suppose -18*j - 137 - 43 = 0. Let z = -76 - -106. What is the remainder when (-48)/(-8)*(-145)/j is divided by z?
27
Suppose -3*y - 6*i + 10*i + 597 = 0, 5*i - 15 = 0. What is the remainder when (25/(-5) + y)/((-6)/(-4)) is divided by 9?
6
Let f(m) be the third derivative of 0*m + 0 + 1/60*m**5 + 19/2*m**3 - 5*m**2 + 0*m**4. What is the remainder when f(0) is divided by 15?
12
Let t(d) = -6*d - 11. Suppose 5467*n - 5462*n = 540. Calculate the remainder when n is divided by t(-8).
34
Let m = -65295 - -65320. Suppose -250 = -q - 3*u, 9*q - 4*q + 2*u = 1237. What is the remainder when q is divided by m?
22
Let a(u) = -6*u - 17. Let i be a(-1). Let c(l) = -l**3 - 10*l**2 - 5*l - 9. What is the remainder when c(i) is divided by 14?
13
Let k = 9 + -88. What is the remainder when -73 - k - (-30 + -1) is divided by 8?
5
Suppose 0 = -2*k - 3*v + 39, 0 = -3*k - 5*v - 0*v + 61. Let u(z) = -z - 5. Let s be u(10). Calculate the remainder when s/(-6)*126/15 is divided by k.
9
Suppose 55*s - 53*s - 428 = -2*t, -5*s = -t + 244. Calculate the remainder when t is divided by 76.
67
Let y(o) = -3*o**3 + o**2 - 2*o - 1. Suppose -3*j - 1191*v + 48 = -1192*v, -v + 71 = 4*j. What is the remainder when y(-3) is divided by j?
10
Let r be -1 - -2*43/2. Suppose -3*c = -3*j - r, j = -4*j. Let m = 23484 - 23417. What is the remainder when m is divided by c?
11
Let s(y) = 7*y**2 - 14*y. Let a(h) = 22*h**2 - 43*h + 1. Let b(j) = -2*a(j) + 7*s(j). Let w = 37 - 18. Calculate the remainder when w is divided by b(3).
5
What is the remainder when (6/8 + (-108)/(-432))*815 is divided by 267?
14
Suppose -168*t = -4*v - 163*t + 701, -333 = -2*v - t. Calculate the remainder when v is divided by 101.
68
Suppose -5*k + 10*k + 30 = 0. Let v be 1 + 2 - (k + 4). Suppose -v*t - 2*b + b = -40, -4*t + 41 = -b. Calculate the remainder when 23 is divided by t.
5
Suppose 0 = q - i - 1044, -2*i - 1483 = -3*q + 1647. Calculate the remainder when q is divided by 58.
56
Suppose 0 = -4*r - 279 + 291. Suppose 0 = -z - r*c + 8*c - 8, -3*z - 3*c = -48. Calculate the remainder when 21 is divided by z.
9
Let j = -37 - -41. Suppose j*f - f = 45. What is the remainder when ((-174)/10)/(f/(-75)) is divided by 22?
21
Suppose 4*c - 5*o - 433 = 269, -2*o + 182 = c. Let u(f) = 10*f + 4*f - 3*f - 1 + 4. What is the remainder when c is divided by u(3)?
34
Suppose -7695 = -4*j - 7063. Calculate the remainder when j is divided by 35.
18
Suppose -3*f - 4*x - 226 + 862 = 0, 5*f - 1074 = -2*x. Let n = f - 204. Calculate the remainder when 45 is divided by n.
9
Calculate the remainder when 42/(-35) + (-7 - 122530/(-25)) is divided by 32.
29
Suppose 3*n + 61 - 97 = 0. Suppose 2*o = 11*o - 576. Calculate the remainder when o is divided by n.
4
Let d(o) = -3*o**2 + 73*o - 291. What is the remainder when 8464 is divided by d(18)?
49
Let s(m) = 18*m**2 - 2788*m - 305. Suppose 0 = -2*r + 14 - 4. Calculate the remainder when r is divided by s(155).
0
What is the remainder when 5293/18 - (-6)/(-108) is divided by 19?
9
Let n(g) = -g**2 + 16*g + 59. Suppose -o - 2*o - 2*o = 0. Calculate the remainder when n(o) is divided by 23.
13
Suppose -12*f + f = 2*f - 57304. What is the remainder when f is divided by 21?
19
Let k(h) = 14*h + 328. Calculate the remainder when 448 is divided by k(-23).
4
Calculate the remainder when (5 + 247/65)*30/(-4)*-1 is divided by 19.
9
Suppose 0*x = 3*x - 246. What is the remainder when x is divided by (23/2 + -59 + 58)*(-88)/(-33)?
26
Let x(o) = -o**3 + 17*o**2 + o - 25. Let g be x(13). What is the remainder when (-4 - 6/(-4))*g/(-10) is divided by 8?
6
Suppose -3*q = -5*i + 3 - 8, 16 = 4*q - 2*i. Suppose -57 = -q*w - 7. What is the remainder when 89 is divided by w?
9
Suppose -3*i = 3*d - 1017 + 36, -20 = -4*d. Suppose -i = -7*m + 1029. Calculate the remainder when m is divided by 39.
37
Let c = -289 - -554. What is the remainder when c is divided by 5520/(-50)*(-13)/(-52)*(-5)/3?
35
Suppose -m = 4*n - 1444, -1560 = -4*n + 2*m - 92. Calculate the remainder when 402 is divided by n.
39
Let h(f) = -f**3 - 20*f**2 - 3*f + 325. Calculate the remainder when h(0) is divided by 98.
31
Let x = 93 - -27. What is the remainder when (-673)/(-7) + x/140 is divided by 50?
47
Suppose -4*m + 2*t + 648 = 0, 33*m - 4*t = 35*m - 334. Calculate the remainder when 2119 is divided by m.
0
Let k = 8237 - 8077. Calculate the remainder when 1431 is divided by k.
151
Let j = -48 + 180. Let a = -75 + -16. Let m = j + a. Calculate the remainder when m is divided by 12.
5
Suppose -6*p - 4200 = 4*p - 80*p. Calculate the remainder when 117 is divided by p.
57
Calculate the remainder when (20646/(-27) + -9)/(4/(-12)) is divided by 86.
85
Let k(o) = -o - 23. Let i(a) = a + 25. Let x(w) = 6*i(w) + 5*k(w). What is the remainder when 302 is divided by x(-17)?
14
Let c = 113 - 116. Let p(h) = 72*h**2 + 3*h - 12. Let g be p(c). Suppose -2*q - 163 = -g. What is the remainder when q is divided by 39?
37
Let q = -29 + 13. Suppose 0 - 4 = -4*g - 2*f, 5*g + 5 = -5*f. Calculate the remainder when g is divided by q/(-6) - (-1 + (-2)/(-3)).
0
Suppose 0 = -51*y + 12266 + 14713. Calculate the remainder when y is divided by 109.
93
Suppose -59*k + 8*k = -1326. What is the remainder when 6573/56 + (1 - (-33)/(-24)) is divided by k?
13
Let p(s) = 339*s + 692. What is the remainder when 1707 is divided by p(-2)?
13
Let q = 176 + -174. Let r(o) = -o - 2. Calculate the remainder when -1*(q + 1)*-5 is divided by r(-6).
3
Suppose -25 - 580 = -5*t. Suppose 0 = 6*a - 1143 - 51. Suppose -t = -4*w + a. Calculate the remainder when w is divided by 27.
26
Let u(p) = -79*p - 4. Let o = -21290 - -21337. Calculate the r