4*c - 5*j - 21 = 0, 5*c + 5*j = 2*j + 54. Let k = 454 - 397. Suppose k = 12*r - 171. Calculate the remainder when r is divided by c.
1
Let b(g) = -g**2 + 5*g - 2. Let c be b(4). Let k be (-402)/33 + c/11. Calculate the remainder when 25 is divided by (-3)/(52/k + 4).
7
Let j(a) = 38*a - 1148. Suppose 0 = -0*z - 4*z + 152. Calculate the remainder when j(32) is divided by z.
30
Let x(b) = -12*b**3 + 51*b**2 - 13*b + 8. Calculate the remainder when 460 is divided by x(4).
0
Suppose -105 = -55*d + 48*d. Let z = d + 10. Calculate the remainder when 724 is divided by z.
24
Let k(r) = 51*r - 3. Let x be k(2). Suppose -33 = -11*q + x. Calculate the remainder when 610 is divided by q.
10
Suppose 5*k + 30 = 10. Let c(h) = -7*h + 13. Suppose 0 = -0*p + 4*p - 56. What is the remainder when c(k) is divided by p?
13
Let v(s) = 8*s - 3. Let a be v(1). What is the remainder when a + 4/(-4) - 1*-3 is divided by 3?
1
Let v(x) = 2*x**3 - 227*x**2 - 206*x - 234. What is the remainder when v(115) is divided by 89?
87
Calculate the remainder when 1674 is divided by 832 + 1 + 4/(-76)*-19.
6
Let h(s) = 571*s + 2946. Let c = 32 - 3. What is the remainder when h(-5) is divided by c?
4
Let v(p) = -48*p + 890. Calculate the remainder when 457 is divided by v(18).
15
Let u = 44656 - 32060. Calculate the remainder when u is divided by 280.
276
Suppose 3*c - 2*y - 263 = 0, c + 0*c - 77 = -2*y. What is the remainder when c is divided by (-80)/25*(-440)/32?
41
Suppose 29*u - 7482 = -43*u + 3246. Suppose -7*c = -3*c - 120. What is the remainder when u is divided by c?
29
Suppose -3*c - 20 = -89. Let b = -136 + 260. Suppose b*k + 42 = 127*k. What is the remainder when c is divided by k?
9
Suppose -2*y = -4*y + 138. Let g = 69 - y. Suppose -3*o + n + 12 = g, 4*n - 4 - 13 = -o. Calculate the remainder when 24 is divided by o.
4
Suppose 22*r = 3318 - 1030. Suppose 33*h = 37*h - r. Calculate the remainder when h is divided by 8.
2
Suppose 22*p - 7568 = -25*p - 41*p. Calculate the remainder when 198 is divided by p.
26
Suppose 12 = 4*r, 2*r = -36*n + 33*n + 321. What is the remainder when 353 is divided by n?
38
Suppose -18*d + d = -1360. Suppose 0 = -s - 5*z + 4 + 10, 0 = -4*s + 4*z + d. Calculate the remainder when 37 is divided by s.
18
Suppose -90*l = -2382 + 132. Let g = 54 + -19. Calculate the remainder when g is divided by l.
10
Calculate the remainder when ((-4794)/60 - -14)/((-1)/10) is divided by 197.
68
Suppose -5*g + 190 = -3*g. What is the remainder when g is divided by 133/19 + (3 - -22)/(10 + -9)?
31
Let j be (-8)/(-200)*5*115. Suppose -6*w = -j - 823. Calculate the remainder when w is divided by 72.
69
Let s(p) = -29*p - 4. Suppose -b - 650 = 2*b - 13*b. What is the remainder when s(-9) is divided by b?
62
Suppose -563 + 277 = -2*g. Suppose 12 = -3*q, -5*p - g = 3*q - 391. What is the remainder when p is divided by 25?
2
Let l(n) = 2*n**2 - 9*n - 7. Let o be 324/24 - (-6)/(-4). Let b be (-32)/o*(-9)/(-4). Calculate the remainder when l(b) is divided by 30.
29
Let l(k) = 21*k + 189. Let o be l(22). Let g = 757 - o. Calculate the remainder when g is divided by 55.
51
Suppose 13284 = 257*u - 203*u. Calculate the remainder when u is divided by 46.
16
Let u = -386 - -382. Calculate the remainder when 177 is divided by (-124)/(-30) + u - (-528)/90.
3
Calculate the remainder when 576 is divided by 148/5*360/48.
132
Let j = 387 + -374. Let o = 924 - -618. Calculate the remainder when 4/(-10) + o/30 is divided by j.
12
Let z = 25 + 2. Calculate the remainder when 206 is divided by z.
17
Suppose 200 = 5*s + 5*w, 4*s + 48*w = 49*w + 165. What is the remainder when 182 is divided by s?
18
Let q = -206 - -302. Suppose u + 5*f + 44 = 5*u, 0 = -5*u - 4*f + q. Suppose -8*g = -8*g - 2*g + 88. Calculate the remainder when g is divided by u.
12
Let r(q) = q**3 + 8*q**2 - 5*q + 18. Calculate the remainder when 5682 is divided by r(12).
6
Let j(b) = -b**2 + 4. Let i be j(2). Suppose -4*f - 22 + 134 = i. Calculate the remainder when 109 is divided by f.
25
Let j be (4/30)/(6/(-27))*5. Let c(k) = 4*k**2 - 15*k - 51. Calculate the remainder when 238 is divided by c(j).
28
Let r = -113 + 117. Suppose -4*l + r*a = -904, -l + 224 = -0*l - 3*a. What is the remainder when l is divided by 10?
7
Suppose 3*t - 4*y - 104 = 0, 5*t = 4*y + 119 + 41. Calculate the remainder when 2991 is divided by t.
23
Suppose -56*z - 69*z - 155*z + 161280 = 0. Calculate the remainder when z is divided by 175.
51
Suppose 4*b = -c - 1, -2*c - 9 + 46 = -5*b. Suppose 55 = g - c. Calculate the remainder when g is divided by 30.
6
Let j = -1641 - -2871. Suppose 4*c + 712 = 3*u, -2*c = -11*u + 16*u - j. Calculate the remainder when u is divided by 50.
44
Let j be 437 + 0 + 33 + -26. Suppose 15*k - 396 = j. Calculate the remainder when 614 is divided by k.
54
Suppose 5*c - m - 60 = 0, -3*m = -0*c - 5*c + 50. Suppose -55 = -2*w - c. Let o = -18 + w. Calculate the remainder when 5 is divided by o.
2
Suppose 23 = 8*w - 57. Let o(v) = -v**2 + 11 + w + 23*v + 8. What is the remainder when o(22) is divided by 18?
15
Let m = -31751 + 32320. Let k(n) = -43*n**3 + n**2 - n - 1. Calculate the remainder when m is divided by k(-1).
41
Let d(s) = s + 31. What is the remainder when (-17 + 15)*1002/(-12) is divided by d(-7)?
23
Let j(a) = -36*a + 2886. Calculate the remainder when 1464 is divided by j(79).
36
Suppose 6*f + 1492 = 268. Let u = f + 230. What is the remainder when (100 + -2)/(2 - 0) is divided by u?
23
Let t be (1 + (-124)/16)*-12. Suppose -4*i - 172 - 39 = -3*l, l - t = 4*i. Suppose -16*v = 28*v - 748. What is the remainder when l is divided by v?
14
Suppose 0 = 3*l, 54*g + 3*l - 2810 = 49*g. Calculate the remainder when g is divided by 31.
4
Let u = 984 + -968. Suppose 2*c = 5*c. Suppose 116 = 2*r - c*r. Calculate the remainder when r is divided by u.
10
Let x(w) = 2*w + 16. Let m be x(-6). Suppose 2*y - 8 = 4*y, 5*y = -3*d + m. What is the remainder when 6 is divided by 6/d - (-12)/48?
0
Suppose -5*j = -3*a, -5*a - j + 34 - 6 = 0. Suppose -7 = 4*q - 19. Calculate the remainder when 4*q/48 + (-57)/(-12) is divided by a.
0
Suppose 412 = 16*n - 308. What is the remainder when (-1)/(-3) - (-8040)/45 is divided by n?
44
Suppose 5*d + 24 = d. Let i = -21371 + 21444. Calculate the remainder when i is divided by (-3)/d*34 + 2.
16
Let o = -1689 + 1702. What is the remainder when 230 is divided by o?
9
Suppose 2*x + 79 = 259. Suppose 6*q = 14*q - 816. Let y = q - x. Calculate the remainder when 13 is divided by y.
1
Let g be (-6734)/13 - (1 - (0 - 4)). Let x = g + 557. Calculate the remainder when 50 is divided by x.
16
Suppose 0 = -91*n + 79*n + 936. What is the remainder when 389 is divided by n?
77
Suppose 108 = 5*w - k, 4*w = 4*k - 9*k + 69. Calculate the remainder when w is divided by 14.
7
Suppose 30 = 5*g + 9*x - 5*x, 5*x + 15 = -g. What is the remainder when 109 is divided by g?
9
Let p = 4342 + -4312. Calculate the remainder when 54 is divided by p.
24
Let o = -10605 - -11053. Calculate the remainder when o is divided by 90.
88
Let g(a) = -a**3 - 3*a**2 + 11*a + 4. Let u = 78 - 53. Suppose 2*f + 5*i = 41, 22 = f + u*i - 21*i. What is the remainder when g(-6) is divided by f?
10
Suppose 14*w = 763 + 77. Let x = w + -23. What is the remainder when x is divided by 21?
16
Suppose 327 = 4*f - f. Calculate the remainder when f is divided by -2*-58*(-5)/(-20).
22
Suppose 58*h + 4583 + 5189 = 86*h. What is the remainder when h is divided by 72?
61
Let t = 268 + -451. Let b = -108 - t. What is the remainder when b is divided by 13?
10
Suppose -113*t + 2750 + 5499 = 0. What is the remainder when t is divided by 10?
3
Let o be 19/7 - (-18)/63. Let u = 1 + 1. Suppose -4*n - 5*y = -208, -u*y = o*n - 0*y - 156. Calculate the remainder when 205 is divided by n.
49
Suppose 5*r + 12*r = -12121. Let d = r - -1004. What is the remainder when d is divided by 21?
18
Let v = 1627 + -1595. What is the remainder when 183 is divided by v?
23
Suppose 114*t - 50424 = -18*t. Calculate the remainder when t is divided by 138.
106
Let p be 406/10 + 14/35. Let q = p + -35. Suppose 10*m = q*m + 24. Calculate the remainder when 9 is divided by m.
3
Suppose -16 = -2*u + 2*d - 0*d, 0 = 5*d - 10. Suppose 21 + 6 = 3*i. Calculate the remainder when u/4*(-4 