
Let a be (-18)/(-27)*(0 + -6). Let u be 3 - (a/3)/(4/6). Suppose -q = -u*v - 20, 0*v = -3*q - 2*v + 9. What is the remainder when 12 is divided by q?
2
Let x(b) = 267*b. Let p be x(1). Let q = -257 + p. What is the remainder when 19 is divided by q?
9
Suppose -5728 = -88*i + 13904 + 7208. Calculate the remainder when i is divided by 12.
5
Let a(h) be the third derivative of h**6/120 + 7*h**5/60 - 49*h**4/24 - 49*h**3/6 + 226*h**2. What is the remainder when 213 is divided by a(-11)?
3
Suppose 0 = 5*q + 2*w - 55, -33 = -6*q + 3*q - w. What is the remainder when 282 is divided by q?
7
Let k(q) = 7*q - 42. Let x(n) = 92*n**3 + 2*n**2 + n. Let o be x(-1). Let a = -61 - o. What is the remainder when k(14) is divided by a?
26
Let s(m) = 50*m - 6. Let q be s(8). Let b = -305 + q. Suppose 23 = -2*z + 3*z. Calculate the remainder when b is divided by z.
20
Let r be -1*(6 - 15/3). What is the remainder when r/3*147354/(-82) is divided by 86?
83
Let x be (-36)/90 + 4/30*3. Suppose 5*m + k - 70 - 15 = x, 5*m = -3*k + 75. What is the remainder when 287 is divided by m?
17
Let z(x) = -37*x + 309. Suppose -3*i + k - 5*k + 100 = 0, -5*k = -4*i + 92. Calculate the remainder when z(4) is divided by i.
21
Suppose -3*z = 5*m - 1257, -2*m - 4*z + 555 = 41. What is the remainder when m is divided by 1 + 228/6 + -11 + -10?
15
Suppose -2*z - 5*l + 190 = 0, -z = 4*l - 163 + 62. Calculate the remainder when 624 is divided by z.
29
Let f = -295 - -166. Let l = f + 140. Let x = -11 + 15. Calculate the remainder when l is divided by x.
3
Suppose -3*w - 432 - 164 = -s, 4*w - 2464 = -4*s. Suppose s = 13*j + 143. Calculate the remainder when 105 is divided by j.
33
Suppose -p + 31 = 6*m, -5*m + 56 = 5*p - 99. Suppose 2*x - 3*t - 11 = 0, 2*x = -2*t + p - 5. What is the remainder when 110 is divided by x?
0
Let q = 473 + -457. Suppose 4*v = 3*h - 7*h + 8, 0 = -h - 5*v + 10. Suppose o - 3 = h, -2*i + 5*o = i - 165. Calculate the remainder when i is divided by q.
12
Suppose -5*z = 5*v - 6670, -1186 = 5*z + 2*v - 7844. What is the remainder when z is divided by 46?
42
Let s = 1480 + -1396. Let j(w) = 5*w + 6. Let r be j(-3). What is the remainder when s is divided by (-254)/(-6) - 6/r?
41
Let i be 12 + 2*(3 - 4). Suppose -i*n + 10 = -10. Calculate the remainder when 2/n*(-8)/(-3 - -2) is divided by 6.
2
Let m(j) = -j + 12. Let t be m(7). Suppose 0 = 3*o - 0*o + 2*y - 28, o = -t*y + 31. What is the remainder when 54 is divided by o*(3 - 1) - 1?
10
What is the remainder when ((-7 - -6)*0 - -2645) + -14 + 10 is divided by 23?
19
Calculate the remainder when 554 is divided by 68/((3 + 25)/7).
10
Let p(b) = b**2 - 15*b + 13. Calculate the remainder when p(-18) is divided by 76.
75
Let d(v) = 3*v**3 - 13*v**2 + 4*v. Let k be d(4). Suppose -12*o + 162 + 114 = k. Calculate the remainder when 228 is divided by o.
21
Let i(k) = k + 12. Let s be i(8). Suppose -s = -3*x + 19. Suppose 8*g + x = 9*g. Calculate the remainder when 50 is divided by g.
11
Let q = -20495 + 20517. What is the remainder when 109 is divided by q?
21
Let t(f) = 27*f - 279. Calculate the remainder when t(20) is divided by 5.
1
Let w = -84 - -95. Suppose r = w*r - 30. What is the remainder when r is divided by 2?
1
Let g(s) = 1493*s - 2151. Calculate the remainder when g(2) is divided by 37.
21
Suppose 1313*z - 179 = 1311*z - 3*a, 0 = -5*a - 35. What is the remainder when z is divided by (1 - 6/(-3)) + 36?
22
Calculate the remainder when 93 + -11 + -2 + 4 is divided by 0 + (1 - 0) + 29.
24
Suppose -2*f - v + 583 = 0, -14*f + 13*f + 308 = -5*v. Calculate the remainder when f is divided by 43.
35
Let t(c) = 4*c + 61. Let a be t(0). Let i = 59 - 55. Let b = a - i. Calculate the remainder when 111 is divided by b.
54
Suppose -7*d - 4*x + 1995 = -2*d, -5*d + 5*x = -1995. Suppose 123 = 9*u - d. What is the remainder when u is divided by 30?
28
Let v = -40 - -55. Let z = v - -14. What is the remainder when z is divided by 15?
14
Suppose 79*t = 2125 + 60838. Calculate the remainder when t is divided by 99.
5
Suppose 2*t = 5*x - 560, -170*x = -175*x + 3*t + 555. What is the remainder when 269 is divided by x?
41
Let f be (0 - 6 - -5) + 6. Suppose -y - 2*i = -12, -51*i + 48*i - 99 = -f*y. Calculate the remainder when y is divided by 13.
5
Let j(k) = k**2 + 7*k - 24. Let h be j(-10). Calculate the remainder when 131 is divided by 11/(-8*h/(-192)).
43
Suppose 2*p = -5*g, 4*g = 3*p - 0*p + 23. Suppose 0 = 5*f - g*a - 293, -3*f - 3*a - 69 = -4*f. What is the remainder when f is divided by 20?
17
Let y(b) = b - 3. Let l be y(-4). Suppose 0 = -24*v + 9*v + 315. Let s = v - l. What is the remainder when 80 is divided by s?
24
Let q be 195 - ((-24)/(-20))/(2/5). Suppose -189*l + q*l - 366 = 0. Calculate the remainder when l is divided by 28.
10
Suppose 46*m - 152 = -3*m + 11804. Calculate the remainder when m is divided by 7.
6
Suppose -17 = 8*j + 12*j - 3*j. Let t(f) be the third derivative of -29*f**6/40 - f**5/30 + f**3/3 + f**2. What is the remainder when t(j) is divided by 22?
21
Suppose -295 = -5*f + l, -236 = -4*f - 7*l + 19*l. Calculate the remainder when f is divided by 4.
3
Let c = -86 + 129. Let v = 43 + c. Calculate the remainder when v is divided by 22.
20
Let s be 10/(-4)*1/(5/(-10)). Suppose -208 - 42 = -s*d. Suppose -2*k + 119 = 5*k. What is the remainder when d is divided by k?
16
Calculate the remainder when 70 is divided by (-100)/(-80)*(-12)/(-10)*20.
10
Suppose 0 = 4*q + 3*t - 194, -2*q + 63*t - 64*t + 98 = 0. Calculate the remainder when 2145 is divided by q.
45
Suppose 173*o - 92460 = 130423 + 2709. What is the remainder when o is divided by 119?
114
Suppose -17*n = -n - 80. Suppose -n*l + 6*l - 2*j = 64, 0 = 5*l - 2*j - 328. What is the remainder when l is divided by 17?
15
Let g(b) = b**3 - b**2 + 9*b + 10. Let r be g(6). Let j = r + -222. Calculate the remainder when 130 is divided by j.
20
Let q be 2/(37*(-5)/95 + 2). Suppose -c - o = 2*c - q, 4*o - 8 = 0. What is the remainder when (0 - 2)/(3/(-69)) is divided by c?
10
Suppose -7*s + 1512 = 47*s. Calculate the remainder when 158 is divided by s.
18
Let c(w) = -w**3 - 2*w**2 + 37*w + 185. Calculate the remainder when 203 is divided by c(-5).
53
Let v(x) = x**2 + x - 50. Let n be v(-5). Let f = -35 + 15. Let h = f - n. Calculate the remainder when 38 is divided by h.
8
Suppose 4*u + 16*i = 13*i + 54, -4*u - 5*i + 50 = 0. Calculate the remainder when 178 is divided by u.
13
Suppose -2*z + 74 + 0 = u, 4*z + u - 148 = 0. Let x = z - -179. What is the remainder when x is divided by 13?
8
Suppose -1968 + 27960 = 228*q. Calculate the remainder when 449 is divided by q.
107
What is the remainder when (3/2*1)/((-132)/(-25696)) is divided by 53?
27
What is the remainder when 513 is divided by (-392)/21*15/(-40)?
2
Suppose q + 2*a = 77, -3*q - 100*a = -104*a - 181. Calculate the remainder when q is divided by 8.
3
Suppose 531*v - 72 = 530*v - 46. What is the remainder when v is divided by -3*-4*8/6?
10
Suppose -3*o + 35 + 49 = 0. Suppose 10*n - 411 = 159. Suppose -56*u - 15 = -n*u. What is the remainder when o is divided by u?
13
Let y = -3424 - -3433. Suppose 3*a = -9 + 21. Suppose 2*d - a*l + 7 = 49, 0 = 2*d + 5*l - 60. Calculate the remainder when d is divided by y.
7
Let p(o) = -8*o - 19. Let z be p(-3). Suppose -5*n + 345 = z*a, -n - 2*a - 69 = -2*n. Let g = n - 64. Calculate the remainder when g is divided by 4.
1
Let n = 18 - 47. Suppose 0 = 43*y - 32*y + 220. Let r = y - n. What is the remainder when 16 is divided by r?
7
Let g = -25 - -41. Let p(n) = -n**3 + 17*n**2 - 11*n - 44. What is the remainder when p(g) is divided by 19?
17
Suppose 16389 - 1323 = 186*t. What is the remainder when 223 is divided by t?
61
Suppose 5*t = 2*x - 110, -221*x = -222*x - 3*t + 77. What is the remainder when 975 is divided by x?
0
Let i(m) = -78*m - 4276. What is the remainder when 180 is divided by i(-57)?
10
Let f(z) = -48*z + 901. What is the remainder when f(13) is divided by 24?
13
Suppose 4*y - y - 215 = -4*h, -108 = -2*h - 2*y. Suppose -55*c + h*c + 14 = 0. Calculate the remainder when c is divided by 3.
1
Let h be 28/35*-5 + 2 + 1. Let u(r) = -155*r**3 + r**2 + 4*r + 1. Let p = 17 + 14. What is the remainder when u(h) is divided by p?
29
Suppose d = 1 + 4. Suppose -m - 