 - m*c - 40. Let n(o) = o**3 - 11*o**2 + 13*o - 20. What is the remainder when 16 is divided by n(c)?
6
Let x = 76 + -53. Let v(g) = 126*g - 1297. What is the remainder when v(11) is divided by x?
20
Let i = 13605 - 13091. Calculate the remainder when i is divided by 140.
94
Suppose 47*z - 12 = 41*z. Suppose -11*i + 10*i - 37 = -z*n, 0 = -4*n + 5*i + 77. Calculate the remainder when n is divided by 12.
6
Let l(b) = -b**3 + 8*b**2 - 5*b - 2. Let q(m) = m**2 - 19*m - 3. Let h be q(19). What is the remainder when l(6) is divided by 9/(-27)*(-41 - (-2 - h))?
12
Let n(p) = -34*p**2 + 589*p - 77. What is the remainder when 6818 is divided by n(17)?
108
Let i be (-2 - 26/(-10))*(1 - 6). Let y(q) = -6*q**3 - 4*q**2 + 3*q - 6. Calculate the remainder when y(i) is divided by 38.
35
Let s(t) = -17*t**2 + 42*t + 4. Let h(x) = 18*x**2 - 43*x - 4. Let q(u) = 4*h(u) + 3*s(u). What is the remainder when q(4) is divided by 45?
13
Suppose -2*r + 5*x = -109, 5*r + 38 - 336 = 4*x. What is the remainder when 10163 is divided by r?
57
Suppose 34*c - 15873 = 10749. Suppose -33*s = 57 - c. What is the remainder when 84 is divided by s?
18
Suppose 60*t - 41310 = 26*t. What is the remainder when t is divided by 28?
11
Suppose -43*a = -38*a - 250. What is the remainder when 162 is divided by a + -5 - (-3 + 2)*-4?
39
Let o = 588 + -585. Calculate the remainder when 187 is divided by 47/(-2*(15/6 - o)).
46
Let i(t) be the first derivative of 2*t**3/3 - 5*t**2/2 + 6*t - 39. Suppose 6*f - 16 = 8. Calculate the remainder when i(f) is divided by 5.
3
Suppose 18419 - 5539 = 85*r - 9985. What is the remainder when r is divided by 120?
29
Suppose 40*k - 132972 = -2*k. Calculate the remainder when k is divided by 13.
7
Let x = -10 - -46. What is the remainder when 1/(-3)*(-3 - x) is divided by 10?
3
Suppose 0 = -19*z + 780 - 382 + 875. Calculate the remainder when z is divided by 22.
1
Let z(v) = v**3 - 11*v**2 + 10*v + 18. Suppose 7*c - 25 = 45. What is the remainder when 85 is divided by z(c)?
13
Let c(u) be the second derivative of -35*u**3/6 + 37*u**2/2 + 3*u + 26. What is the remainder when 83 is divided by c(0)?
9
Let x(u) = 74*u + 533. What is the remainder when x(2) is divided by 675?
6
Let p = -15081 - -15105. Calculate the remainder when 22151 is divided by p.
23
Suppose 0*a - 33 = -3*a. Let n(o) = -o**2 + 17*o - 16. Let c be n(14). What is the remainder when ((-42)/(-4))/7*c is divided by a?
6
Suppose 0*x - 2*x - 6 = 0, -56 = -5*f + 2*x. Let v = f - -45. Suppose v = 5*q - 3*r, 5*r - 6 = 19. Calculate the remainder when q is divided by 8.
6
Let b(s) = 2*s**2 + 15*s + 7. Let p be b(-10). Let k = p + -69. Calculate the remainder when (-1)/(k/30 + 453/1170) is divided by 23.
9
Let x = 542 + -267. Suppose -4*g + x = 83. Suppose -15*b = -19*b + g. What is the remainder when 45 is divided by b?
9
Let o(d) = -57*d + 163. Let r be o(-6). Let x = r - 329. Calculate the remainder when x is divided by 61.
54
Suppose 2*l - 2*y - 44 = -2*l, 5*y + 30 = 2*l. Let x(d) = -d + 23. Let t be x(21). What is the remainder when l is divided by (-11 + t)/(-4 + (-9)/(-3))?
1
Calculate the remainder when 558 is divided by (854/1159)/(5/95).
12
Let h(a) = -7*a - 43. Let b be h(-10). Let u(g) = g**2 + 7*g + 8. What is the remainder when u(-8) is divided by (-4)/18 - ((-330)/b + 3)?
7
Suppose 3*s = 2*s + 134. What is the remainder when s is divided by (-414)/(-15) - (-54)/(-90)?
26
What is the remainder when 105 is divided by 2 + -1 + ((-44)/(-88))/((-1)/(-10))?
3
Let x = 1307 + 370. Let r = -1456 + x. Suppose -4*p - 20 = -5*p - 4*m, -2*m = -4*p + 134. What is the remainder when r is divided by p?
29
Suppose -3*v + 4*v = 22. Suppose 1178 = -f - 5*i + 1256, -4*f + 3*i = 10. What is the remainder when v is divided by f?
6
Let g(v) = 7*v + 90. Let s(y) = 14*y + 183. Let p(w) = 7*g(w) - 4*s(w). Calculate the remainder when p(-28) is divided by 19.
18
Suppose 27*y = y + 1072 - 214. Calculate the remainder when 2339 is divided by y.
29
Let v = -16284 + 16615. Calculate the remainder when v is divided by 227.
104
Let c(b) = 3*b. Let f(r) = 8*r - 80. Let p(l) = 2*c(l) - f(l). Calculate the remainder when 333 is divided by p(16).
45
Suppose -4*a - 34*v = -35*v - 522, 266 = 2*a - 3*v. What is the remainder when 215 is divided by a?
85
Suppose -4344*y + 4373*y = 3799. Calculate the remainder when y is divided by 18.
5
Suppose 15*g = -5895 + 6030. Calculate the remainder when 7892 is divided by g.
8
Let p(u) = -u**3 - 13*u**2 + 6*u + 12. Let v be p(-14). Suppose -5*i = -9*i + v. Calculate the remainder when 122 - (0 + 3 + -2) is divided by i.
28
Suppose 2*i - 5071 = -3*q, -220*q + 5078 = -217*q - 5*i. Calculate the remainder when q is divided by 843.
5
Let l = 585 - 518. Let p = l - 28. What is the remainder when p is divided by 16?
7
Let g = -113 + 207. Let b(p) = -1784*p + 14297. What is the remainder when g is divided by b(8)?
19
Let j = -416 + 920. Let l = -463 + j. Calculate the remainder when l is divided by 11.
8
Suppose -j + 90 = -183. Let g = 15467 - 15444. What is the remainder when j is divided by g?
20
Let d(c) = -8*c**2 - 10*c + 57. Let g be d(5). Calculate the remainder when 208 is divided by 4 + (g + -5)/(-3).
68
Let j(a) = 121*a + 1. Let w be 8/(-4)*(-2844)/(-24). Let v = 278 + w. Calculate the remainder when j(1) is divided by v.
40
Let o(d) = 2728 - 2720 + 21*d - 22*d. Let g be 54/(-4) + (-2)/4. What is the remainder when 62 is divided by o(g)?
18
Suppose -5*o - 66 = -5*h + 224, o + 5 = 0. Calculate the remainder when 415 is divided by h.
44
Suppose 1 - 1 = -3*y. Suppose 106 = -y*q - q. Let z = q - -127. What is the remainder when 39 is divided by z?
18
Let z(i) = 21*i - 132. Let s(b) = 8. Let g(k) = 4*s(k) + z(k). What is the remainder when g(7) is divided by -2 + 2 - (-12)/2?
5
Calculate the remainder when 88 is divided by (1364/(-33))/((-6)/10*140/126).
26
Let t(h) = -14*h**3 + 2*h**2 - 1. Let g be 2/(-5 + 3 + -2 + 5). Suppose -g*n + 8*n = 342. What is the remainder when n is divided by t(-1)?
12
Let t = 25 + -13. Suppose d - 5*q + 11 = 0, 3*d = -4*q + 55 - t. Let r(s) = 336*s - 8693. What is the remainder when r(26) is divided by d?
7
Let j = -807 + 1038. Calculate the remainder when j is divided by 670/50 - (-2)/(-5).
10
Let t = 22928 - 22578. What is the remainder when 362 is divided by t?
12
Suppose -5*q = -0*q - 20. Let b = -1715 + 1726. Calculate the remainder when b is divided by q.
3
Let v(f) = f**3 - 20*f**2 + 53*f + 56. Calculate the remainder when 199 is divided by v(17).
19
Let k(u) = -u - 1. Let j(g) = g**2 - 16*g + 8. Let v(x) = -j(x) + 4*k(x). Let p be v(8). Suppose 6*s - p = s. What is the remainder when 7 is divided by s?
3
Suppose -4*p + 15216 = -4*l, -4*p - 163*l + 15153 = -158*l. What is the remainder when p is divided by 10?
7
Let u(z) = 23*z**2 - 15*z + 25. What is the remainder when 104 is divided by u(2)?
17
Suppose -749 = -62*x + 1855. What is the remainder when 97 is divided by x?
13
Suppose -6*z - 5953 = -14827. Suppose z = -6*n + 9*n. What is the remainder when n is divided by 15?
13
Let k(u) = u**3 + 81*u**2 + 236*u + 413. Calculate the remainder when k(-78) is divided by 60.
17
Suppose 274 = -12*l + 10. Let r = l - -32. Suppose 15 + 21 = 2*h. What is the remainder when h is divided by r?
8
Let j(k) = 2*k**2 - 16*k + 36. Let n be j(4). Suppose 4*t + n*h - 12 = 7*h, -3*h = -12. Calculate the remainder when -6*((-22)/4 - 2) is divided by t.
3
Let k be (-9)/((-135)/(-10)) - (-1840)/(-12). Let h = k - -158. What is the remainder when 27 is divided by h?
3
Let v(q) = 14*q - 2. Suppose i = 4*i - 3. Let o(c) = 44*c**3 - c**2 + 1. Calculate the remainder when o(i) is divided by v(1).
8
Suppose -16*j + 61*j - 28101 = -42*j. Calculate the remainder when j is divided by 8.
3
Let r(h) be the second derivative of -5*h**3/6 + 17*h**2/2 - 2*h. Suppose -10 = z - 6*z, -w + z - 12 = 0. Calculate the remainder when r(w) is divided by 17.
16
Suppose 0 = 5*w - 114 - 6. What is the remainder when w is divided by 1 + 33/(-15) + (25 - 1036/70)?
6
Suppose -3*g = -p - 652, 3*g - 3*p - 474 = 180. Let n = g - 210. What is the remainder when 138 is divided by n?
5
Suppose 2*p + 3*p + 623 = -4*y, -3*y = 5*p + 461. Let n = y - -181. What is the remainder when 49 is divided by n?
11
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