t j(n) = -n**3 - 5*n**2 - 4*n - 7. What is the remainder when ((-9)/18)/(9/(-2322)) - 13 is divided by j(-5)?
12
Suppose -5*z - 40 = -6*n, -z - 26 = 682*n - 685*n. What is the remainder when 487 is divided by n?
7
Let h = 215 + -68. Let d = -2609 + 2615. What is the remainder when h is divided by d?
3
Suppose 0 = -5*y - 10, 74*y = -2*g + 78*y + 3204. What is the remainder when g is divided by 13?
12
Let f(c) = c**3 + 8*c**2 - 109*c - 1. Let o = 1036 - 567. Calculate the remainder when o is divided by f(-15).
56
Suppose -30 + 106 = 19*g. Suppose x - 4*x = 3*t, g*x = 4*t - 16. Suppose -5*b + 4*h = -0*b - 5, t*h + 15 = 5*b. What is the remainder when 12 is divided by b?
2
Let t(x) = x**3 - 5*x**2 - 11*x - 13. Let l = -376 + 386. What is the remainder when l is divided by t(7)?
2
Let a(y) = y**3 + 4*y**2 + 2*y + 3. Suppose 5*b = 6*b - 9. Suppose -5*h = -8*h - b. Calculate the remainder when 27 is divided by a(h).
3
Suppose 57 = 7*p + 29. Suppose -p*b = -h + 221, 13*h - 11*h + b = 433. Calculate the remainder when h is divided by 28.
21
Suppose -6*i + 8 = -2*i. Suppose -2*a - 566 = 4*q, 5*a - 288 = 3*q - 1768. Let t = 302 + a. Calculate the remainder when t is divided by i.
1
Suppose 0 = -4*l + 2*a + 42, -l = -4*a - 7 - 14. Suppose l*r = 36 + 36. Calculate the remainder when 15 is divided by r.
7
Suppose -5*f + 25 = -0*f. Suppose 4*c - 33 + f = 0. Suppose c*v - 258 = 4*v. Calculate the remainder when v is divided by 29.
28
Suppose 0 = -9*r - 40 + 103. Let t(y) = 19*y - 91. What is the remainder when t(r) is divided by 13?
3
Suppose -5*m = -20, -14*d + 20*d - 32 = -2*m. What is the remainder when 8173 is divided by d?
1
Let t = -45255 + 45821. What is the remainder when t is divided by 18?
8
Let n be 84/20 - 4/(-5). Suppose h = -0*h + 4*f - 13, -n*h - 2 = f. What is the remainder when 11 is divided by 10 + (-4 - h) + -1?
5
Suppose -29*w + 756 = 24*w - 569. What is the remainder when 3673 is divided by w?
23
Let t = 2939 - 2904. What is the remainder when 2403 is divided by t?
23
Let z = -245 + 249. Let h(d) = 4*d**2 + 13*d - 81. What is the remainder when h(z) is divided by 21?
14
Calculate the remainder when ((1488/192)/((-5)/(-20)))/(1/19) is divided by 242.
105
Let d(x) = -2*x + 29. Let r(v) be the first derivative of v**3/3 + v**2/2 - 10*v - 4. Calculate the remainder when r(-6) is divided by d(12).
0
Suppose a + 9 = 5, -5*p = -5*a - 20. Suppose 8*o - 138 - 86 = p. What is the remainder when 39 is divided by o?
11
Suppose 329 = -4*w + 5*f + 826, 0 = 3*w + 2*f - 367. What is the remainder when 186 is divided by w?
63
Suppose -9732*i - 61 = -9733*i + 77. Calculate the remainder when 285 is divided by i.
9
Calculate the remainder when 551 is divided by (-2)/(286/(-39)) - (-588)/22.
11
Let d(m) = -32*m + 1266. What is the remainder when d(32) is divided by 44?
22
Suppose -h - h + 37 = -5*g, -g = 5*h - 133. Let i be (35/105)/((15/9)/(-5)). Calculate the remainder when ((-1224)/255)/(i/20) is divided by h.
18
Suppose 3*d + 3029 = 2*a, -34*d - 4*a - 5019 = -29*d. Let c = d - -1019. Calculate the remainder when 127 is divided by c.
7
Suppose -49*x = -37*x - 684. Let a = 541 + -366. Calculate the remainder when a is divided by x.
4
Let p(a) = -7*a**2 - 231*a - 30. Calculate the remainder when p(-30) is divided by 242.
116
Suppose -1672 = -44*s - 20*s + 45*s. What is the remainder when 130 is divided by s?
42
Let n = 135 - 125. Let a(h) = 1 + 0 - 5 + 4*h - 6*h. What is the remainder when a(-9) is divided by n?
4
Let p(l) be the first derivative of -8*l**3/3 + 23*l**2 + 3*l + 41. Let q be p(5). Suppose -q*s + 128 = -31*s. Calculate the remainder when s is divided by 11.
9
Suppose 0 = 4*d + 29 - 73. Suppose 0 = 49*h - 90*h - 58*h + 15048. Calculate the remainder when h is divided by d.
9
Suppose 0 = -3*m - 2*y + 66, -4*y - 110 = -5*m - 7*y. Let t = 36 - -49. Calculate the remainder when t is divided by m.
19
Let s(q) = -q**3 + 8*q**2 - 5*q + 8. Calculate the remainder when (-165)/66*(-4)/(-5) - 3*-50 is divided by s(6).
48
Let l = -15395 - -15457. Calculate the remainder when 267 is divided by l.
19
Let t = 231 + -221. Suppose 0*s = 20*s - 3160. What is the remainder when s is divided by t?
8
Let m = 154 - 154. Calculate the remainder when (3 - 5)/((-2)/81) is divided by m/4 + -3*(-8 + 1).
18
Let j(w) = 268*w + 1937. What is the remainder when 424 is divided by j(-7)?
58
Suppose 0 = -4*l + 150 + 42. Suppose 10*v - 212 = l. Suppose 3*t - 307 = -a, -3*t - 2*a + 7*a + 319 = 0. Calculate the remainder when t is divided by v.
25
What is the remainder when (26/(-30) + (-9)/(-45))*-606 is divided by 107?
83
Suppose -11584 = -5*g - u, 4*g - 2473*u = -2468*u + 9302. What is the remainder when 4637 is divided by g?
1
Suppose -207*l + 203*l + 16 = 0. Suppose 0 = -k - l*k + 10, 188 = 4*u - 4*k. Calculate the remainder when u is divided by 25.
24
Suppose -2926*s + 65565 = -2771*s. What is the remainder when 493 is divided by s?
70
Let s(m) = 8*m**3 - 2*m**2 + 2*m - 1. Let u be s(2). Let w = -54 - -59. Suppose u = w*r - 261. What is the remainder when r is divided by 13?
12
Let w = -186 + 233. Calculate the remainder when 81 is divided by w.
34
Suppose 0 = -18*u + 113086 + 21158. Calculate the remainder when u is divided by 9.
6
Let v(t) = -t**3 - 7*t**2 + 146*t + 37. What is the remainder when v(-17) is divided by 33?
16
Suppose 13*c - 23*c = 0. Suppose -g + 2*k - 3 = c, 13*k + 5 = 5*g + 8*k. What is the remainder when 199 is divided by g?
4
Suppose 1300 = 2*t + 2*n, 2*n + 0 + 2 = 0. What is the remainder when t is divided by 41?
36
Suppose -782 - 1125 = -14*n - 647. What is the remainder when 6117 is divided by n?
87
Let f(i) = -13*i**2 + 167*i - 34. What is the remainder when f(9) is divided by 78?
26
Suppose -118*y = -39*y - 23226. What is the remainder when y is divided by 37?
35
Let q = 136 - 183. Let d = q + 154. Calculate the remainder when d is divided by 36.
35
Let z(g) = -709*g**3 - 4*g**2 - 3*g. What is the remainder when z(-1) is divided by 88?
4
Let y = 5661 + -5509. Calculate the remainder when y is divided by 41.
29
Let h(n) = 4871*n - 9644. Let u = -9 + 29. Calculate the remainder when h(2) is divided by u.
18
Suppose -20*s + 32531 = 6137 - 14766. Calculate the remainder when s is divided by 20.
18
Let u(c) = -c**3 - 2*c**2 - c + 1. Let z be u(-2). Suppose z*i - 15 = 0, -2 = p - 3*i - 19. What is the remainder when 542 is divided by p?
30
Let l(m) be the first derivative of m**3 + 25*m**2/2 + 27*m + 135. Calculate the remainder when 222 is divided by l(-9).
42
Let x(t) = -4*t - 21. Let m be x(-6). Suppose 108 = 7*r - m*r. Suppose -u = -0 - r. Calculate the remainder when u is divided by 16.
11
Let h = 11 - 6. Suppose 3*m - 108 = -h*x, -96 = -4*m - x + 31. What is the remainder when m is divided by 0 + (-8 - -4 - -22)?
13
Let g = 34 - 26. Suppose a - 16 = -3*k, g*a - 5*a = 3*k. Suppose -4*l + 108 = k*q, -5*q = l - 78 - 53. Calculate the remainder when 55 is divided by q.
3
Suppose 4*s - 3*s - 82 = -3*m, -s = m - 92. Suppose -s*d + 93*d = -4. Calculate the remainder when 9 is divided by d.
0
Let v = 7487 + -7457. What is the remainder when 335 is divided by v?
5
Let a(i) = -i**2 + 32. Suppose 126*h = 120*h. Let o(s) = 4*s**2 - s - 12. What is the remainder when o(-5) is divided by a(h)?
29
Suppose -1257 = -3*q - 4*c, -45*q - 2095 = -50*q + 5*c. Calculate the remainder when q is divided by 49.
27
Let l be (0 - (-5)/(-2))*144/3. Let i = l + 131. What is the remainder when 107 is divided by i?
8
Suppose 22*s - 914 = 2848. Calculate the remainder when 181 is divided by s.
10
Calculate the remainder when 2415 is divided by 87/(-116)*(165/(-9))/5*292.
6
Suppose -f = -2*m + 54, 0 = -2*m + 5*f - 221 + 283. What is the remainder when 333 is divided by m?
21
Suppose -2*q = 5*x - 102 - 180, -2*q + 278 = 3*x. Suppose 17*b - 21 + 837 = 0. Let z = q + b. Calculate the remainder when z is divided by 18.
16
Suppose -5*x + 3*i = 1803, -317 + 2152 = -5*x - 5*i. Let o = 389 + x. What is the remainder when 282 is divided by o?
22
Let y be (-6592)/13 + 23/299. Let g = -444 - y. What is the remainder when 245 is divided by g?
56
Suppose -5*t - 4*u = -163, 27*u - 21 = -t + 32*u. Let p = 91 - 32. What is the remainder when p is divided by t?
28
Let x = -73 - -90. Suppose -2*