- y. What is the remainder when r is divided by x?
3
Suppose -5*b = 2*b + 28. Let y be (-4 - -7) + -4 - b. What is the remainder when 57 is divided by 316/(-20)*-1 + y/15?
9
What is the remainder when 2207 is divided by 261434/4020 + (-1)/30?
62
Let o(i) = -i**3 + 15*i**2 + 1192*i - 97. What is the remainder when 9558 is divided by o(-28)?
237
Let d = -8225 + 9039. What is the remainder when d is divided by 267?
13
Suppose -7*y + 5*y = 494. Let j = 376 + y. Let k = -72 + j. Calculate the remainder when k is divided by 12.
9
Suppose -1097 + 6000 = 41*s - 6495. Calculate the remainder when 1054 is divided by s.
220
Let n = -9789 - -9921. Calculate the remainder when n is divided by 61.
10
Let w(v) = -v + 1. Let p be w(-4). Suppose -3*h + p*h = 0. Suppose -3*n + 41 + 49 = h. What is the remainder when 58 is divided by n?
28
Suppose 0 = -21*d - 8*d + 6049 + 1114. Calculate the remainder when 511 is divided by d.
17
Let p(m) = 58*m - 986. What is the remainder when p(28) is divided by 212?
2
Suppose 19*p = 14*p - 9*w + 3747, -3*w - 2223 = -3*p. What is the remainder when p is divided by 140?
44
Suppose -5*s = -x + 117, 3*x + 3*s + 351 = 6*x. Calculate the remainder when x is divided by 31.
24
Suppose -278*x + 12784 = -262*x. What is the remainder when x is divided by 265?
4
Suppose 0 = 3*m + 25 - 4. Let c = 37 + -19. What is the remainder when (660/(-35) - -9)*m is divided by c?
15
Let s = 25780 + -25677. Calculate the remainder when s is divided by (-2)/(((-16)/52)/2).
12
Suppose -2*v = w - 67, -2*w = w - v - 159. What is the remainder when 374 is divided by w?
44
Let o be (-4830)/25*10/(-3). Suppose o = 20*h + 4. What is the remainder when h is divided by 19?
13
Let j(o) = 18*o**3 - 13*o**2 + 12*o + 2. Let b be 1*12 - (-2 + 2). Suppose -1 = -d + 2*g, -2*g + b = d + 3. Calculate the remainder when j(1) is divided by d.
4
Suppose 1 = q, -c + 3*q + 154 = -78. Calculate the remainder when c is divided by 17.
14
Let s(c) = c**3 - 16*c**2 - 16*c + 47 - 47. Let j be s(17). Suppose -127 = -j*x + 16*x. What is the remainder when x is divided by 32?
31
Suppose -117 = 8*t - 141. Let o = 32 + t. What is the remainder when 81 is divided by o?
11
Suppose 3*b = 5*i - 1136, -799 = -3*i - 3*b - 103. Calculate the remainder when i is divided by 42.
19
Suppose -108 = 65*c - 68*c. Calculate the remainder when c is divided by (-139)/(-6) - 5 - 2/12.
0
Let i(k) = -k**3 + 41*k**2 - 3*k + 131. Suppose 2*y + 0*y - 172 = 0. Calculate the remainder when y is divided by i(41).
6
Let r = -19245 + 19384. What is the remainder when r is divided by 138?
1
Let k(a) = 5*a**2 + 89*a + 175. Calculate the remainder when 152 is divided by k(-2).
16
Suppose -4*h - 74 = -130. Let c(u) = -8*u + 8. Let f be 1*4*8/(-8). Calculate the remainder when c(f) is divided by h.
12
Suppose -10*l + 21 = -122 - 67. Let r(t) = 6*t + 10. Calculate the remainder when r(8) is divided by l.
16
Let f = -439 + 689. Suppose -2*l + 2*z + 96 = 0, 5*l + 3*z = -2*z + f. What is the remainder when l is divided by 25?
24
Suppose -5*m - 8*n = -135, -m + 3 + 41 = 5*n. Calculate the remainder when m is divided by (-2)/(-3) - 31/(-3).
8
Let a = 288 + -242. Let u = 48 - 32. What is the remainder when a is divided by u?
14
Suppose 14*x = 10*x + 16, x - 2720 = 2*b. Let h = b + 1913. What is the remainder when h is divided by 56?
51
Let h = 189 + -114. Suppose 70*i - h*i = -280. Calculate the remainder when i is divided by 30.
26
Let s = -11 - -16. Let c(l) = 3*l**2 - 11*l - 1. What is the remainder when 29 is divided by c(s)?
10
Let o(d) = 57*d - 1078. What is the remainder when o(23) is divided by 6?
5
Suppose 22*m = 15*m + 147. Suppose -34 + 4 = -l - 4*i, 175 = 4*l + 5*i. Calculate the remainder when l is divided by m.
8
Let c = -24 + 51. Suppose 4*f - 17*u - 552 = -13*u, -u = 4*f - 572. What is the remainder when f is divided by c?
7
Let q = -37 - -74. Let l(u) = 508*u - 4058. Calculate the remainder when q is divided by l(8).
1
Suppose 240 + 463 + 437 = 10*o. What is the remainder when 379 is divided by o?
37
Let p = 2689 - 2680. Calculate the remainder when 216 is divided by p.
0
Let o = -13338 + 29691. What is the remainder when o is divided by 87?
84
Let v(p) = -2*p**3 + 6*p**2 + 10*p + 2. Let q be v(-4). Suppose -q = -20*y + 174. What is the remainder when y is divided by 18?
0
Suppose -2*t + 77 = 5*c - 0*t, -8 = 2*t. Let g be (-2*(-5)/(-20) + 1)*42. Suppose 47 = -20*d + g*d. What is the remainder when d is divided by c?
13
Suppose 9 = -5*a - 56. Let k(d) = 2*d + 23. Let x be k(a). What is the remainder when 19 is divided by (3 + x - -4) + 3?
5
Let d(i) = 2*i**3 - 100*i**2 + 112*i - 493. Calculate the remainder when 833 is divided by d(49).
61
Let z be 57/(-5) + 22/55. Let i(u) = u**2 + 13*u + 36. Calculate the remainder when 265 is divided by i(z).
13
Suppose 408 = 33*i - 912. Suppose 229 = h + 4*p, 3*h - 398 - 305 = 4*p. What is the remainder when h is divided by i?
33
Suppose -5*w + 15 = -2*w. Suppose 0*k = w*k - 25. Suppose -13 = -5*l + z, k*l - 2*z - 18 = -2. Calculate the remainder when 4 is divided by l.
0
Let g = -172 - -118. Let z = g - -119. What is the remainder when z is divided by 14?
9
Let p(t) be the second derivative of t**3/2 + 10*t**2 - 100*t. Let x = 43 - 31. What is the remainder when x is divided by p(-4)?
4
Let s = -277 + 347. Calculate the remainder when 194 is divided by -16 + s - (3 - 0/1).
41
Suppose 5*z - 2461 = 254. Suppose -30*m + 323 = 58 - 365. Calculate the remainder when z is divided by m.
18
Let t(w) = -5*w**2 - 3*w - 55. Let c(v) = -3*v**2 - v - 28. Let g(y) = -11*c(y) + 6*t(y). What is the remainder when g(-3) is divided by 4?
2
Suppose 34*s - 17*s = -30*s + 7567. What is the remainder when s is divided by 49?
14
Suppose 0 = 2*i + 15*l - 20*l - 58, 4*i + 5*l - 86 = 0. What is the remainder when 66 is divided by i?
18
Suppose -5*f - 2 + 0 = -3*z, -4*z - 9 = 5*f. Let o be (z + -155)*(-2)/(-4)*-1. Suppose -63 = y - o. Calculate the remainder when 28 is divided by y.
13
Suppose 158832 = 133*v - 174942 - 462896. Calculate the remainder when v is divided by 48.
38
Suppose 36*s - 86284 + 12448 = 0. Calculate the remainder when s is divided by 27.
26
Let f = -106 - -171. Let q(d) = d**3 - 26*d**2 + 133*d + 24. Calculate the remainder when f is divided by q(7).
17
Suppose 0 = -4*r + 291 + 37. Let u = r - 46. Suppose 41*g - 170 = u*g. What is the remainder when g is divided by 6?
4
Suppose 0 = 2*u - 42 + 26, -3*u = 4*y - 64. Let g(k) = 5*k**2 + 2*k + 6. Calculate the remainder when g(-4) is divided by y.
8
Let w(l) = l - 1. Let n be w(-8). Let p(q) = -q**2 - 14*q - 37. What is the remainder when 55 is divided by p(n)?
7
Suppose 0 = 4*z + v - 16 + 608, 2*z + 290 = v. Let m = -117 - z. What is the remainder when m is divided by 16?
14
Suppose 55 - 133 = -2*u + 2*x, x = 5*u - 195. What is the remainder when 133 is divided by u?
16
Suppose f = -2*g + 69, 0 = -5*g + 3*f - 2*f + 169. Suppose 16*o - 8457 + 2521 = 0. Calculate the remainder when o is divided by g.
31
Let a = -6462 - -6586. What is the remainder when 2227 is divided by a?
119
Let o(k) = k**2 - 110*k + 2384. Calculate the remainder when 5664 is divided by o(81).
29
What is the remainder when 415 is divided by 12/(-6)*4/(-64)*-4*-414?
1
Let n be (-1 + 0)/(-5 + 72/14). Calculate the remainder when 32 is divided by (6 + -3)/((-1)/n).
11
Suppose -8*p + 4*p - 12 = 0. Suppose 0 = -5*a + 4*z + 327, -3*a - 2*z - z = -207. Calculate the remainder when a is divided by p*2*(3 + (-32)/6).
11
Suppose 4141 = 34*p + 1591. What is the remainder when 387 is divided by p?
12
Let p = -8457 - -8480. What is the remainder when 549 is divided by p?
20
Let y(a) = 398*a - 4298. What is the remainder when 534 is divided by y(11)?
54
Let t = 69 - 34. Calculate the remainder when 42/8 - 5 - (-5967)/68 is divided by t.
18
Suppose -4*t = -2*t - 4, 2*d - 4550 = -4*t. What is the remainder when d is divided by 325?
321
Let s(w) = 2*w**3 + 10*w**2 + 14*w + 1. Calculate the remainder when s(7) is divided by 53.
3
Suppose 1 = p + 3*r - 276, r = 5*p - 1321. Calculate the remainder when p is divided by (1 - (6 - 53)) + 6/(-2).
40
Suppose 5*m - 271 = -21. Suppose -434140 - 121369 = -797*b. What is the remainder when b is divided by m?
47
What is the remainder w