the remainder when 1495 is divided by 355/30*1*108/6.
4
Let m = 9 + -12. Calculate the remainder when 13 is divided by (-5)/(20/(-16)) - m.
6
Suppose 143*k - 879 - 4086 = -103. What is the remainder when 3092 is divided by k?
32
Let d(f) = 229*f - 2277. What is the remainder when 1043 is divided by d(10)?
3
Suppose 0 = -15*y - 422 - 7813. Let a = -512 - y. Calculate the remainder when 258 is divided by a.
36
Let b = 47 - 36. Calculate the remainder when 58 is divided by 113/4 + 630/(-56) + b.
2
Suppose -h + 8 = 2*z - 17, -2*h - 10 = 0. Let t(l) = 2*l**2 + 5*l + 1. What is the remainder when (-4)/(12/z) + (110 - 2) is divided by t(-4)?
12
Let c(l) = 4 + 3 + 11*l**2 - 3*l**2 - 13*l - l**3. Let y = 2901 - 2895. What is the remainder when 4 is divided by c(y)?
0
Let r(s) = -2*s**3 + 9*s**2 - 9*s + 138. Let b = -3 - -10. What is the remainder when r(0) is divided by b?
5
Suppose -3*j + 0*j = 0, j + 350 = 5*y. What is the remainder when ((-4)/28*-7)/(1/y) is divided by 80/((-20)/(-5)) - (-1 + 2)?
13
Let u(n) = -64*n**3 + 2*n**2 + 2*n + 1. Let x(j) = 3*j**2 + 4*j - 7. Let w be x(-3). Let k = w - -9. Calculate the remainder when u(-1) is divided by k.
14
Let y = 55 - 92. Let f = y - 0. Let h = -14 - f. What is the remainder when h is divided by 7?
2
Let b be -2 + 3*(102/9)/(-1). Let f = b - -57. What is the remainder when 813/f + 2/7 is divided by 21?
18
Suppose 0 = -5*o - y + 265, 2*o + 0*o - 3*y - 123 = 0. Calculate the remainder when o is divided by (-2 - 25/20)*-4 - 2.
10
Let v(b) = 4*b**3 - b**2 + 1. Let q be v(1). Suppose -q*d + 152 = 4*d. What is the remainder when 74 is divided by d?
17
Let z = -1777 - -2099. Calculate the remainder when 966 is divided by z.
0
Suppose 832 = 4*x + 4*r, -6*x = -4*x + 4*r - 426. Let t = -119 + x. Let q(y) = -5*y**2 + 264*y + 75. Calculate the remainder when t is divided by q(53).
18
Suppose -4*u + i + 821 = 0, 904*u + 5*i = 900*u + 863. What is the remainder when 241 is divided by u?
34
Let z = -1711 + 1088. Let p = -610 - z. Calculate the remainder when p is divided by 3.
1
Suppose 3*o - 4*q = 284, -3*o - 10*q + 292 = -6*q. Calculate the remainder when 569 is divided by o.
89
Suppose 0 = -2*p + 47 + 25. Let m(x) be the second derivative of 2*x**4/3 - 23*x**3/6 - 8*x**2 - 216*x. Calculate the remainder when p is divided by m(4).
16
Let u(x) = 4*x**2 + 106*x - 506. Calculate the remainder when 11798 is divided by u(-31).
46
Suppose -50*c = 59*c - 19511. Calculate the remainder when c is divided by 38.
27
Let r = 5865 - 5828. Calculate the remainder when r is divided by 13.
11
Let b(s) be the third derivative of -s**6/120 + 13*s**5/60 + s**4/12 + s**2 - 9. Suppose -21 = -3*m + 21. What is the remainder when b(13) is divided by m?
12
Let o(a) = 55*a**3 - 19*a + 30. Calculate the remainder when o(2) is divided by 44.
36
Suppose -60*i + 59*i + 251 = 0. Suppose w - 2*a - a = 40, 5*w + 2*a - i = 0. What is the remainder when 141 is divided by w?
43
Let y(n) = n + 10. Let u be (6/4)/(-1*2/4). Let h be y(u). Suppose h*c + 42 = 259. Calculate the remainder when 61 is divided by c.
30
Let d be 222/(-15) + 8/10. Let c = d - -131. Calculate the remainder when c is divided by 17.
15
Suppose -6*w + 11*w + 4*w = 11862. Calculate the remainder when w is divided by 438.
4
What is the remainder when 2632 is divided by 2/19 - ((-1)/6 + (-1778028)/1368)?
32
Suppose 4*s + 5*b = 233, -2*s + 7*b + 127 = 6*b. What is the remainder when 617 is divided by s?
59
Let z = 27 + -16. Let y(j) = -j + 17. Let f(p) = -p**2. Let r(q) = -f(q) - y(q). What is the remainder when r(z) is divided by 13?
11
Let q(s) = -293*s - 838. What is the remainder when 817 is divided by q(-3)?
38
Let o = -112 - -91. Calculate the remainder when o/((-189)/228)*(-3)/(-2) is divided by 16.
6
Let n(j) = j**2 - 5*j - 1. Let s be n(6). Let k = s + 10. Suppose -66*z + 11*z + 119 = 27*z - 1603. Calculate the remainder when z is divided by k.
6
Suppose 9 = 3*o, 5*o - 147 = 32*h - 34*h. What is the remainder when 249 is divided by h?
51
Let r(j) = 5*j + 156. Let k be r(0). Calculate the remainder when 68 is divided by k/11 - 7/462*12.
12
Suppose 169 = -7*l + 897. Let a = 88 - l. Let v(p) = p + 51. What is the remainder when 104 is divided by v(a)?
34
Let d(l) = 8*l**2 + 8*l - 22. What is the remainder when d(4) is divided by 30?
18
Suppose 131*z = 548 + 4561. Calculate the remainder when 1714 is divided by z.
37
Suppose 4*b = 3*b - q + 65, -203 = -3*b + q. What is the remainder when b is divided by 26?
15
Let o(u) = -252*u - 665. Let a(l) = 15*l + 39. Let f(v) = -35*a(v) - 2*o(v). Calculate the remainder when f(-7) is divided by 31.
19
Let m be 6/(-4)*10/15 + 31. Suppose m = 4*l + 18. Suppose -4*u = -2*x + 22, l*x + u + u - 49 = 0. Calculate the remainder when 27 is divided by x.
12
Suppose 2790 = -18*c + 15408. Calculate the remainder when c is divided by 176.
173
Suppose 18*t - 425 = -46*t + 2967. Calculate the remainder when 1535 is divided by t.
51
Suppose 4*g - 1465 = -1385. Let q(m) = 15*m - 186. Calculate the remainder when 223 is divided by q(g).
109
Suppose 100*g = 4158 - 1158. Suppose 59 = 3*f + m + 12, 0 = 3*f - 5*m - 53. Calculate the remainder when g is divided by f.
14
Suppose -2*o + 42 + 249 = -r, 4*o - 4*r - 576 = 0. Let c = -83 + 102. What is the remainder when o is divided by c?
14
Suppose -5*k = -46 - 49. What is the remainder when (-17 + (-469)/(-28) + 6/8)/(1/130) is divided by k?
8
Let d = -90 + 100. Let x(o) = 90*o + 0 - d - 86*o. What is the remainder when 86 is divided by x(8)?
20
Let k(m) = -m**3 - 13*m**2 + 488*m + 715. What is the remainder when 44/3*3*6 is divided by k(-29)?
17
What is the remainder when ((-60250)/(-40) - -21)/((-2)/(-8)) is divided by 871?
12
Suppose 0 = 49*l - 4244 - 26822. Calculate the remainder when l is divided by 159.
157
Suppose -432*q + 307 = 5*f - 434*q, f + 4*q = 57. Let p(t) = 24*t**2 - 4*t - 5. What is the remainder when f is divided by p(-1)?
15
Suppose -50*d = -32 - 768. Calculate the remainder when 2111 is divided by d.
15
What is the remainder when 2219 is divided by (-7)/(-1) - (-24 - 64/8)?
35
Let g = -94 - -132. Let m = -423 + 469. Let v = m - g. Calculate the remainder when v is divided by 2.
0
Suppose 7*p + 12616 = 173*p. Calculate the remainder when 7824 is divided by p.
72
Calculate the remainder when 17/(544/1424)*56*1 is divided by 29.
27
Let f = -5421 - -5517. What is the remainder when f is divided by 29?
9
Let s(r) be the third derivative of r**6/120 + 2*r**5/15 + 13*r**4/24 - 2*r**3/3 - 2*r**2 + 28*r. Calculate the remainder when 97 is divided by s(-4).
1
Let a(t) = 2 + 7*t - 18 + t - 65 - t**2 + 37*t. Calculate the remainder when (7/2)/(2/4) is divided by a(43).
2
Let c be ((-1 + 0)/5)/(6/(-5970)). Suppose 7*p - c - 522 = 0. Calculate the remainder when p is divided by 11.
4
Suppose 0 = 2*o + 2, -2*a + 266 = -2*o - 1206. What is the remainder when a is divided by 53?
46
Let z(p) = p**2 + 23*p + 15. Let l(w) = -w - 10. Let t be l(13). Let b be z(t). Suppose 14*q = b*q - 29. What is the remainder when q is divided by 16?
13
Let o = 130 - -225. Let l = o + -331. Suppose 4*u - 83 - 299 = -2*v, -4*v = -u + 73. What is the remainder when u is divided by l?
21
Let j(g) = g**2 + 7*g + 15. Let v be j(-5). Suppose 5*c = 2*x + 320, -2*c + v*x = -60 - 47. Calculate the remainder when c is divided by 17.
15
Suppose -81*w + 639 = -10*w. Calculate the remainder when 204 is divided by w.
6
Let l be (-156)/(-65)*20/8. Suppose 0 = -5*n + 3*j + 349, 8*j - 4 = l*j. What is the remainder when 138 is divided by n?
67
Suppose -342*x + 3159 = -303*x. What is the remainder when 491 is divided by x?
5
Suppose -4*q + 377 = 75*w - 78*w, 3*w = 2*q - 199. What is the remainder when 6585 is divided by q?
88
What is the remainder when 156 is divided by (84/(-126))/((-4)/(-42)) + 70?
30
Let d be (90/12)/(1*(-2)/4). Let w(z) = -22*z + 49. Let v be w(d). Suppose 254 = f - 5*a, f - v = -2*a - 160. What is the remainder when f is divided by 29?
26
Let n = -19162 - -19210. What is the remainder when 5039 is divided by n?
47
Let s(v) = -3*v**2 + 65*v + 235. Calculate the remainder when 451 is divided by s(24).
49
Let y(u) be the first derivative of -2*u**2 - 17*u - 13. Let d be y(-7). Suppose v + 1 - d = 0. What is the remainder whe