 divided by a.
1
Let j(d) = d**3 - 61*d**2 - 958*d - 180. Calculate the remainder when 1271 is divided by j(74).
111
Let o be -5 + 3 - 1 - (-2 + -1). Suppose 131*c - 113*c - 234 = o. What is the remainder when 583 is divided by c?
11
Suppose -4*z + 385 = z. Calculate the remainder when z is divided by (6058/208 - 29) + (-638)/(-16).
37
Let s(y) = y**2 + 10*y - 56. Let v be s(-18). Let z be (-4)/1*(-2354)/v. Let c = z + -81. What is the remainder when c is divided by 3?
2
Let m(p) = p**3 - 8*p**2 + 683*p - 6033. What is the remainder when 702 is divided by m(9)?
117
Let q(f) = 17572*f - 522. What is the remainder when q(1) is divided by 12?
10
Let w(v) = -201*v**3 + 17*v**2 + 3*v + 2. What is the remainder when w(-2) is divided by 25?
22
Let o(p) = -p**3 - 9*p**2 + 4*p + 51. What is the remainder when o(-12) is divided by 89?
79
Let t(g) = 39*g**2 + 103*g - 15. What is the remainder when 3149 is divided by t(-4)?
194
Let r(n) = 3*n**2 - n + 64. Let p be r(0). Suppose -5*k - 4*s + 132 = 0, 3*s + 1 = 10. What is the remainder when 720/p*4*1 is divided by k?
21
Suppose 124 = -7*u - 170. Calculate the remainder when 5 - (56/(-16))/((-1)/u) is divided by 17.
16
What is the remainder when 361 is divided by (-26478)/(-207) + (-8)/(-92)?
105
Suppose 0 = 5*a + 15, 3*i - 42 + 9 = 2*a. Calculate the remainder when (3/2)/(3/52) is divided by ((-5)/(-30) - (-3)/i)*14.
5
Suppose -d - 3 + 5 = 0. Let h be 4 + (d - (-3 - -4)). Suppose -5*v - 67 = -3*o + 81, h*o + v - 228 = 0. What is the remainder when 137 is divided by o?
45
Let w = 4900 + -4666. Calculate the remainder when w is divided by 42.
24
Let o(u) = u + 17. Let h be o(-16). Let w be (-15)/3*(13/(-5))/h. Suppose 1 = 2*q - w. What is the remainder when 7 is divided by q?
0
Suppose -1 = 3*x - 13. Let i = -216 - -224. Suppose -2*f + f = 4, 2*p = -x*f - i. Calculate the remainder when p is divided by 4.
0
Let p(b) = 4*b - 16. Let s be p(-9). Let w = s + 175. Suppose 72 = 3*z - w. Calculate the remainder when z is divided by 17.
14
Suppose 10*i - 11*i + 30 = 0. Suppose 0 = 5*k - 4*m - 5 - 49, 3*k - 3*m = i. Calculate the remainder when 39 is divided by k.
11
What is the remainder when 6/(-6) - 23/(115/(-9740)) is divided by 13?
10
Let o(b) = -b**2 + b + 14. Calculate the remainder when (-82764)/693*(-7)/2 is divided by o(0).
12
Suppose -o - 7 = -2*v + 11, 0 = -3*v + 3*o + 27. Suppose 224 - 71 = v*m. Suppose -2*y - 3*y = -150. Calculate the remainder when y is divided by m.
13
Let o = 45 + 174. Suppose 369*u - 5139 - 765 = 0. What is the remainder when o is divided by u?
11
Let h(n) = -n**2 - 9*n + 1. Let w(v) = -v**2 + 3*v. Let y be w(5). Let b be h(y). Let z(a) = 2*a + 25. What is the remainder when 20 is divided by z(b)?
6
Let s(x) = -6*x + 5. What is the remainder when ((-628368)/108)/(-38) + 30/(-27) is divided by s(-6)?
29
Let v = 5019 + -4984. Calculate the remainder when 940 is divided by v.
30
Let t(j) = -j**2 - 28*j - 139. Suppose -28 = 334*y - 330*y. What is the remainder when 22 is divided by t(y)?
6
Suppose -g = -3*g + k + 12, 10 = -5*k. What is the remainder when (-196)/(-5) + -1 + (-1)/g is divided by 8?
6
Let u(k) = 9*k - 27. Let h be u(10). Suppose 7*b = h - 168. Let z = 58 - b. What is the remainder when z is divided by 15?
13
Suppose -2*h + 2*o = -64, 4*h + 2*o + 14 - 124 = 0. Suppose -2*g + g + 1 = 0. Calculate the remainder when (-126)/(-16) + h/232 is divided by g.
0
Calculate the remainder when 330 is divided by 5/6 - 2666/(-516).
0
Suppose -6 = -5*u - 141. Calculate the remainder when 6 is divided by u/(-6)*(-8)/(-12).
0
Let q(h) = -h**2 + 24*h - 83. Let j be q(14). Let l = 74 - j. What is the remainder when l is divided by 10?
7
Calculate the remainder when 2/(-7) + 8030/77 + -17 is divided by 35.
17
Let f(o) = -2*o**3 + 108*o**2 - 302*o - 23. Calculate the remainder when f(51) is divided by 37.
33
Let p be ((-20)/(-25))/((-2)/(-5)). Suppose -4*u + p = 4*o - 282, 4*o - 252 = 4*u. Let q = 187 - o. Calculate the remainder when q is divided by 41.
38
Let j(d) = d**3 + 20*d**2 - 52*d - 182. Let m be j(-22). Let l(n) = -2*n**3 - 6*n**2 + 23*n - 24. Calculate the remainder when 268 is divided by l(m).
52
Let u = 9 + -6. Suppose u*c = 2*n + 1491, -5*n + 31 = -c + 541. Calculate the remainder when c is divided by 71.
69
Let f(o) = 620*o**2 - 31*o + 3. What is the remainder when f(1) is divided by 280?
32
Suppose n + 0*n = -2, -2*a + n = -8. Let o = 24 - a. Suppose 24 - 6 = p - 4*t, 0 = p - 2*t - 12. What is the remainder when o is divided by p?
3
Let d(p) = -297*p + 8107. Let v(f) = 8*f - 219. Let c(n) = -3*d(n) - 110*v(n). Let l = 118 - 75. What is the remainder when l is divided by c(22)?
10
Let g be 1 + (-2)/(-7) + (-95)/(-35). Suppose -t - g*c + 55 = 2*t, t = 5*c + 50. Calculate the remainder when t is divided by 6.
1
Let p = 2799 + -2765. Suppose 3*j - 350 = -2*n - 2*n, -5*j = -4*n - 562. Calculate the remainder when j is divided by p.
12
Let p(y) = 2*y**2 - 95*y - 449. What is the remainder when 37 is divided by p(52)?
18
Let s = 35 - 19. Let z = -575 - -635. Calculate the remainder when z is divided by s.
12
Suppose 0 = 131*f + 79*f - 758730. What is the remainder when f is divided by 113?
110
Let r = 7025 - 5983. Calculate the remainder when r is divided by 19.
16
Suppose 118 = 5*c + 7*u, -c + 0*c + 5*u = 2. Calculate the remainder when 1250 is divided by c.
8
Let y(a) = -a**3 - 54*a**2 - 24*a + 1563. What is the remainder when y(-53) is divided by 17*-1*(-3)/3?
9
Let j(i) = -i**3 + 25*i**2 - 60*i + 256. What is the remainder when j(21) is divided by 220?
100
Suppose 0 = 3*l + 2*f - 111, -126 = -3*l - 13*f + 16*f. Let u be 10/(-4)*10*1. Let t = l - u. What is the remainder when t is divided by 22?
20
Let m = -420 + 930. Let r(q) = 58*q - 59. What is the remainder when m is divided by r(2)?
54
Let s(f) be the first derivative of f**3/3 + f**2 - 4*f - 30. Let d be s(3). Suppose -d*h + 7*h = -124. What is the remainder when 90 is divided by h?
28
Let w(s) = 22*s + 600. Calculate the remainder when w(-8) is divided by 68.
16
Suppose 3*s = -3*a - 2*a + 770, -4*s = -3*a + 433. Calculate the remainder when 613 is divided by a.
9
Suppose 0 = -i + 2*d + 145, -118*i + 123*i - 4*d = 707. Calculate the remainder when 285 is divided by i.
7
What is the remainder when ((-438)/(-365))/(9/10635) is divided by 37?
12
Let c(z) = -19*z**3 - z**2 - z + 1. Let x be c(1). Calculate the remainder when 63 is divided by x/50 + 184/10.
9
Let s = -22036 - -22087. What is the remainder when 2/(-2*1) + 457 is divided by s?
48
Let g(y) = -y**2 + 8*y + 15. Let r be 7/4 - (-2)/8. Let f be (-36)/21*(-7)/r. Calculate the remainder when 106 is divided by g(f).
25
Suppose 0 = 1215*q - 1256*q + 451. Suppose -2*x - x + 93 = 0. Calculate the remainder when x is divided by q.
9
Suppose 4*l = 60 + 88. Let v(x) = -x**2 + 20*x - 68. Let u be v(6). Suppose 30*i + u = 406. What is the remainder when l is divided by i?
11
Calculate the remainder when (1 - (-2 - 264/(-8)))/(5/(-25)) is divided by 4/((-8)/(-54)) - -1.
10
Suppose 0 = 2*a + 91 + 407. What is the remainder when 331 is divided by a/((-6)/6*3 + 0)?
82
Suppose 52 = 2*y - 98. Suppose 16*b - 1624 - 408 = 0. Let m = -101 + b. Calculate the remainder when y is divided by m.
23
Suppose -49*y + 3227 + 61903 = -2392. What is the remainder when y is divided by 689?
0
Suppose -5*m + 0*d + 37 = -2*d, 0 = -2*m - 3*d + 30. Suppose -6*a + m*a = -12. Calculate the remainder when a/12*-3 - -78 is divided by 40.
39
Let r(d) = 2*d**3 - 26*d**2 - 28*d + 14. What is the remainder when r(14) is divided by 4?
2
Suppose 311 = 3*t - 2*i + 72, 0 = -5*t - 5*i + 415. Let z = t + -56. What is the remainder when z is divided by (25/10)/5*(-2 - -14)?
1
Let i = -6562 - -6618. Calculate the remainder when 10415 is divided by i.
55
Suppose 0*p - 5*x = -4*p + 20, 3*x + 18 = 3*p. Calculate the remainder when ((-268)/(-10))/(-2)*(-350)/70 is divided by p.
7
Suppose 2*j - 162 + 224 = 0. What is the remainder when 71 is divided by -1*j/2 - 74/148?
11
Let q = 3397 - 3332. Calculate the remainder when 1688 is divided by q.
63
Let d(k) = -8*k + 538. Suppose 0 = -4*g + 149 + 183. Let n = g - -17. What is the remainder when n is divided by d(63)?
32
Suppose 4*j - 3*i = -2*i + 778, 3*i - 382 = -2*j. Let k =