56
Suppose -21*l - 330 = -3459. Let b = l - 141. Calculate the remainder when 25 is divided by b.
1
Suppose 2*r + 32724 = 5*v, -14*r + 10*r - 26184 = -4*v. Calculate the remainder when v is divided by 85.
84
Suppose n - 30*k + 28*k - 2 = 0, -10 = -5*n - 3*k. Let p = -5 - -12. What is the remainder when p is divided by n?
1
Let h(f) = 153*f + 1684. Calculate the remainder when h(-10) is divided by 93.
61
Let m(p) = 6*p - 2. Let k be m(-11). Let y = k + 74. Suppose -8*u + 226 = -y*u. What is the remainder when u is divided by 59?
54
Suppose -2*d = -4*m - 54, 3*m - m + 6 = 0. Let s be d/(-2)*4/3. What is the remainder when (-992)/s + (-9)/(-63) is divided by 12?
11
What is the remainder when 408 is divided by 156 + 50 + (-3)/((-6)/20)?
192
Calculate the remainder when (-6)/(-8) - (-10 - 1985/20) is divided by 34.
8
Let s(y) = y**3 + 108*y**2 + 203*y + 39. Calculate the remainder when s(-106) is divided by 14.
13
Let v be 37/7 - (-2)/(-7). What is the remainder when 68 is divided by (v/4)/(10/80)?
8
Let f = 47 + -51. Let k = 14 + f. Let i = k - -48. Calculate the remainder when i is divided by 12.
10
Let n = 44585 - 44512. Calculate the remainder when n is divided by (32/(-20))/((-6)/75).
13
Let n = 742 - 283. Let m = -213 + n. What is the remainder when m is divided by 79?
9
Suppose 20 = 5*a, 4*i + 3*a = 8*a + 12. Suppose 5*v = 4*v + 1. Suppose j - v = 2. What is the remainder when i is divided by j?
2
Suppose 3*f - 3 + 0 = 4*v, 0 = f + 4*v - 17. Suppose -4*d = f*c - 140 + 7, 0 = -2*c - 2*d + 54. Calculate the remainder when c is divided by 3.
1
Suppose 115*w - 117*w = -1958. What is the remainder when w is divided by 49?
48
Suppose 46*q - 4*r + 371 = 49*q, 3*q + 3*r - 375 = 0. What is the remainder when q is divided by 27?
21
Suppose -3*x - 1088 = 4*o - x, -4*o = x + 1092. Let w = o + 285. Suppose 0 = -2*v + 4 + 4. Calculate the remainder when w is divided by v.
3
Let n be 15 + (-7 - -8 - -2). Calculate the remainder when 4131/n - -9 - 1/(-2) is divided by 30.
29
What is the remainder when (-15660)/(-28) + 7/(147/(-6)) is divided by ((-552)/(-1449))/((-4)/(-14))*(-42)/(-4)?
13
Let a(w) = 2*w**3 + 4*w**2 + 4*w - 19. Let s be a(5). Let d = s + -348. Calculate the remainder when 11 is divided by d.
2
Let j(h) = h**2 - 25*h - 5. Let c(i) = 20*i - 15. Let z be c(2). Let r be j(z). Calculate the remainder when 186 is divided by 31 + 22 - r/(-1).
42
Let x = 4 - 4. Suppose 7*k + x*k - 28 = 0. Suppose 30 = 2*r - 3*y - 116, k*r = 2*y + 300. Calculate the remainder when r is divided by 20.
16
Let i = 199 + 2. Suppose 0 = 5*w + 5, -5*w - i = -4*u - 0*u. Suppose -942 = -62*b + 112. Calculate the remainder when u is divided by b.
15
What is the remainder when 2131 is divided by 19 + 126/(-18)*1?
7
Let i(o) = o**3 + 13*o**2 + 24*o + 37. What is the remainder when (88/5)/(58/145) is divided by i(-11)?
14
Let w(m) = 55*m - 925. Calculate the remainder when w(27) is divided by 94.
90
Suppose 385*j + 50961 - 232296 = 0. Calculate the remainder when j is divided by 108.
39
Suppose -16*q - 32*q + 6402 = -4686. Calculate the remainder when q is divided by 44.
11
What is the remainder when 993 is divided by (56 + -6)/((6/42)/((-4)/(-14)))?
93
Suppose 14*s - 637 + 287 = 0. Let z(g) = g**2 - 3*g + 4. Let n = -13 + 23. Calculate the remainder when z(n) is divided by s.
24
Let c = 275 - 280. What is the remainder when (3 + c)/(-1) + 160 is divided by 55?
52
Let h(l) = -8*l**3 + 62*l**2 - 3*l - 24. What is the remainder when h(7) is divided by 50?
49
Let x(r) = r**3 + 4*r**2 - 8*r + 1. Suppose 0*u - 4*h = -u - 38, -3*u = -4*h + 82. Let n = u + 17. What is the remainder when 47 is divided by x(n)?
15
Suppose 2*m + 19 = 51. What is the remainder when 287 is divided by m?
15
Suppose 5*b + 25 - 7 = 2*i, 2*i - 10 = b. What is the remainder when ((-9)/i)/(-1)*(-2752)/(-24) is divided by 20?
18
Let y = -128 - -383. Let p = 288 - y. Calculate the remainder when 111 is divided by p.
12
Let x be 3 + -1 + 1 - (12 - 11). Suppose -12*q = -x*q - 140. What is the remainder when q is divided by 10?
4
Suppose -3*z - 390 = -12*o + 13*o, 3*o + z + 1186 = 0. Let y = -352 - o. What is the remainder when 526 is divided by y?
42
Suppose -29*d = -17*d - 5052. Suppose -3*x - 3*w = -423, 17*x - 14*x + w = d. What is the remainder when x is divided by 29?
24
Suppose -4 = 4*j - 5*f, 7 - 27 = -2*j - 3*f. Calculate the remainder when 79 is divided by ((-1)/j*-4 - -14) + -1.
9
Let d = -933 + 973. Suppose -3*q - 90 = -3*r - 2*r, 3*r = -4*q + 83. Calculate the remainder when d is divided by r.
19
Calculate the remainder when 2028 + 2*6/(-12) + 3 is divided by 107.
104
Let l = -13598 - -17467. What is the remainder when l is divided by 51?
44
Let v(b) = -b**2 + 8*b + 3. Let r be v(7). Suppose 0 = 4*o - r - 2. Let z(c) = c**2 + 14*c + 61. Calculate the remainder when z(-7) is divided by o.
0
Let y = 265 - 265. Suppose y = -6*b + 632 + 520. Calculate the remainder when b is divided by 39.
36
Let u(o) = o**3 + 16*o**2 - 5*o + 4. Suppose -3*r + 16*k - 11 = 14*k, -k = -4*r - 18. Calculate the remainder when u(r) is divided by 77.
73
Let b(f) = f + 2. Let z(w) = w. Let l(v) = 2*b(v) - 4*z(v). Let k = -23248 + 23299. What is the remainder when k is divided by l(-3)?
1
Let d(j) = 59*j**2 + 5*j - 7. What is the remainder when 76 is divided by d(1)?
19
Let w be ((-290)/(-174))/((-10)/(-12)). Suppose w*p = 104 - 38. Calculate the remainder when 208 is divided by p.
10
Let g = -47 - -51. Suppose -p + 3*f = -0*f + 7, 2*f - g = 0. What is the remainder when p*2/2 - 1*-35 is divided by 5?
4
Let p = 6 + 7. Calculate the remainder when 0 - (-398 - (-30 + 10)) - 17 is divided by p.
10
Suppose 13*u - 83 - 34 = 0. Let o be ((-4)/(-8)*0)/(-1). Suppose o = -8*d + 3*d - a + 71, -3*a - 39 = -3*d. Calculate the remainder when d is divided by u.
5
Let b(r) = 16*r**2 + 71*r + 73. What is the remainder when 53 is divided by b(-1)?
17
Suppose -6*f - 13*n + 5873 = -f, 4*n - 2354 = -2*f. What is the remainder when f is divided by 14?
9
Let m = -25364 - -25504. Calculate the remainder when 3771 is divided by m.
131
Let w(s) = -4*s + 1. Suppose 3*d - 10 = 5, -r = 5*d - 269. Calculate the remainder when r is divided by w(-3).
10
Let o(q) = -11*q + 54. Let v be o(7). Let g = v - -68. What is the remainder when g is divided by 8?
5
Suppose 40*b = 43*b - c - 21, 0 = -4*b - 4*c + 28. What is the remainder when 196 is divided by b?
0
Suppose -15*q - 729 = -2*z - 10*q, 2*z - 4*q = 726. What is the remainder when z is divided by 63?
42
Suppose -5*j - 2*t = -79, -225*j + 221*j + 80 = -4*t. Let u(x) = -59*x - 1. What is the remainder when u(-1) is divided by j?
7
Let l(w) = -4*w + 5. What is the remainder when -20 + 233 + 2 + 0 is divided by l(-1)?
8
Suppose 2651*d - 2650*d - 87 = 0. What is the remainder when d is divided by 10 - (0/5 + 2)?
7
Let a(q) = -q**3 + 21*q**2 + 16*q - 10. What is the remainder when a(-5) is divided by 53?
30
Suppose -79*m - 2*r = -80*m + 62, 0 = -5*r - 5. What is the remainder when m is divided by 58?
2
Let i = 19 - 49. Let t be ((-130)/i)/(1/3). Calculate the remainder when 6/4*(-68)/(-6)*t is divided by 14.
11
Let t(a) = -58*a + 2. Let j be t(-5). Let q = -135 + j. Suppose 52*m + 81 = 56*m + 3*u, 3*m - 3*u - 45 = 0. What is the remainder when q is divided by m?
13
Suppose -x = -3*u + 1787, -43*u + 39*u - 2*x + 2376 = 0. Calculate the remainder when u is divided by 38.
25
Let o = 128 - 75. Suppose 22*p + o = 23*p. What is the remainder when p is divided by 3 - 1/(-2)*58?
21
Let d(o) = -o**3 + 24*o**2 - 22*o - 8. Suppose -176 = -245*a + 241*a. Calculate the remainder when a is divided by d(23).
14
Suppose 3*d - 4*d - 4*u = -209, d - 209 = -2*u. Let b(r) = -2*r**2 + 5*r + 10. Let q be b(9). Let w = d + q. Calculate the remainder when w is divided by 26.
24
Suppose -2*v = v - 21. Let n be (-24)/(-40)*5*v/3. Let p(z) = -z**3 + 9*z**2 + 8*z + 13. Calculate the remainder when p(n) is divided by 42.
41
Suppose 74*u - 1772 = 2038 - 332. Let v = -104 + 247. What is the remainder when v is divided by u?
2
Suppose 121*a + 175*a + 187*a - 25704 = 75*a. Let o = -7 + 18. What is the remainder when a is divided by o?
8
Let t(g) = -g**2 + 8*g + 56. Let s be (31 + -3)*(-1 - 10/(-8)). Calculate the remainder when t(s) is divided by 