 = -53 - -57. Let t be w(d). Calculate the remainder when 5 is divided by 12/36*t/(-2).
2
Suppose 5*h + 2*m = 51 - 16, m - 7 = -h. Let u = 61 - h. Suppose 0 = -9*x + 5*x + 44. Calculate the remainder when u is divided by x.
10
Suppose -3*x = -2*u - 50, 1057*x - 1060*x = -u - 46. What is the remainder when 103 is divided by x?
5
Suppose -133940 = -279*h - 83*h. What is the remainder when h is divided by 17?
13
Suppose 0 = 4*k - 123*k + 8152 - 2202. What is the remainder when 599 is divided by k?
49
Let m(i) = 4*i**3 - i**2 + 1. Suppose -3*g + 8 = 5*g. Let j be m(g). What is the remainder when j*36/16 - (-3)/1 is divided by 7?
5
What is the remainder when 16097 is divided by -7*((-2212)/98 + 19)?
22
Suppose 258*t - 325*t + 2881 = 0. What is the remainder when 7651 is divided by t?
40
Suppose 78 + 46 = 31*l. Let z(p) = p**3 - p**2 + 13*p - 58. What is the remainder when 460 is divided by z(l)?
40
Suppose -20*c + 15985 = 5*r, 0*r + 4010 = 5*c + 4*r. Calculate the remainder when c is divided by 13.
5
Let h(o) be the first derivative of 10*o**3 + o**2/2 + 3*o - 85. What is the remainder when h(3) is divided by 72?
60
Let l(p) = -326*p. Let s be l(1). Let z = 407 + -265. Calculate the remainder when z is divided by s/(-9) - 7/((-126)/(-4)).
34
Let z(t) = t**2 + 33*t + 62. What is the remainder when 494 is divided by z(-33)?
60
Let f = 64 - 34. Suppose -f = -b + 27. Let a = b + -34. What is the remainder when 87 is divided by a?
18
Let t = -2210 + 3099. What is the remainder when t is divided by 45?
34
Let l = 95681 + -95656. Suppose -4*s + 5*y + 137 = 0, -2*y - 37 = -s + 2*y. What is the remainder when s is divided by l?
8
Suppose 6*g - 30 = -0*g. Let l(k) = -k + 4*k + g - 2*k. Calculate the remainder when l(11) is divided by 9.
7
Calculate the remainder when 114 is divided by (-16392)/(-168) - 50/(-35).
15
Suppose 507 = -2*k + 539. Suppose -l = l. Suppose 2*y + 10 = l, -2*c - 2*y = c - 101. What is the remainder when c is divided by k?
5
Suppose 5*y = -3*h + 98, 527*y - 528*y - 35 = -2*h. Calculate the remainder when 2346 is divided by h.
15
Let s(i) = i**3 - 8*i**2 - 8*i. Let d(l) = -497*l + 32. Calculate the remainder when d(0) is divided by s(9).
5
Suppose -s - 34*f = -37*f - 88, -2*s - 2*f + 208 = 0. Calculate the remainder when 248 is divided by s.
48
Suppose 0 = 433*o - 502*o - 23 + 575. What is the remainder when 373 is divided by o?
5
Let z(c) = 58*c**3 - 7*c**2 + 35*c - 86. Calculate the remainder when z(4) is divided by 53.
50
Let o = -52 + 68. Let k be (3/6*-15)/((-6)/o). Suppose 5*q - k - 85 = -2*v, q - 5*v - 48 = 0. What is the remainder when 88 is divided by q?
19
Let i(o) = 3*o**3 - 5*o**2 - 3*o + 6. Suppose 279*s - 3542 = 1480. Calculate the remainder when i(4) is divided by s.
16
Let l(z) be the second derivative of z**4/6 + 5*z**3 + 24*z**2 + 256*z. What is the remainder when l(-16) is divided by 17?
12
Let a(w) = 28*w**2 + 44*w + 17. Calculate the remainder when a(-6) is divided by 8.
1
Suppose -63*u - 3158 = -9332. What is the remainder when 390 is divided by u?
96
Suppose -6*t = -18 - 174. Suppose -3*g + t = g. Suppose v - g*i + 3*i = 6, -2*v = -5*i - 27. What is the remainder when 37 is divided by v?
16
Let n(d) = -3*d**3 - 6*d + 1. Let g be n(3). Let r = -114 - g. What is the remainder when (-1)/(-4) - 540/r is divided by 13?
8
Let w = 4305 + -4250. Calculate the remainder when 973 is divided by w.
38
Let u(f) = -851*f - 3324. What is the remainder when 538 is divided by u(-4)?
58
Let m = 37 + -32. Suppose m*l - 77 = 4*l. What is the remainder when 303 is divided by l?
72
Let m(r) = 12*r**3 + r**2. What is the remainder when 2472/(-20)*340/(-136) is divided by m(1)?
10
Let s = 101 - 101. Suppose s = 3*g + 8*t - 12*t - 93, 2*t + 64 = 2*g. What is the remainder when 103 is divided by g?
33
Calculate the remainder when 3093 is divided by 34/((-21 - (-64)/3)/((-1)/(-3))).
33
Suppose 5*y = 3*y + 92. Suppose 0 = -4*n - 4*j + 82 + y, 0 = 5*n - 2*j - 195. What is the remainder when n is divided by 11?
4
Let q(a) = -18*a - 3. Let z(o) = 9*o + 1. Let s(m) = 4*q(m) + 9*z(m). Let r be s(6). Suppose 3*x - r = -0*x. Calculate the remainder when 33 is divided by x.
16
Let x(u) be the third derivative of -u**5/30 + 43*u**4/24 + 37*u**3/6 - 13*u**2 - 2. Calculate the remainder when 169 is divided by x(21).
53
Let y = -4127 + 4270. Calculate the remainder when 508 is divided by y.
79
Let h = -7691 - -7771. Let a(r) = 45*r**2 + r - 1. What is the remainder when h is divided by a(-1)?
37
Let d = -251 - -282. Suppose -2*m + 12 = -4*l + m, -4*l + 2*m = 8. Suppose 3 = -r, -r - 68 = -5*y - l*r. What is the remainder when d is divided by y?
5
Suppose 3*t - 4 = -5*a + 67, -5*t - 3*a + 145 = 0. Calculate the remainder when 58 is divided by t.
26
Suppose 0*d + 3*d = 2*t + 71, 2*t + 21 = d. Suppose -3*c - 3*b - 57 = -2*b, -3*c - 2*b - 57 = 0. Let l = d + c. What is the remainder when 35 is divided by l?
5
Let o = 5048 - 2771. Calculate the remainder when o is divided by 12.
9
Let c(t) = 70*t + 5347. Calculate the remainder when c(75) is divided by 38.
33
Suppose -7*p + 9*p = -10. Let i(f) = -f**3 - 3*f**2 + 4*f - 11. Let y = 96 - -53. What is the remainder when y is divided by i(p)?
16
Let v(c) = 7*c - 39. Let x be v(7). Calculate the remainder when ((-10)/x)/(1/(-67)) is divided by 35.
32
Let y(a) = 2*a**3 + 75*a**2 - 63*a + 10. Let l be y(-38). Suppose -16*n = -4*n - l. What is the remainder when n is divided by 22?
14
Let d(u) be the second derivative of 35*u**4/6 + 5*u**3/6 + 13*u**2/2 - 9*u + 1. What is the remainder when d(-3) is divided by 35?
33
Let u = 4290 - 3812. What is the remainder when u is divided by 22?
16
Suppose 10*j - 5*a + 35 = 15*j, 5*j - 4*a = 98. Calculate the remainder when 9/(1/216*4) is divided by j.
10
Let s = -5712 - -5823. Calculate the remainder when 268 is divided by s.
46
Let a(s) = 3*s**2 - 13*s - 2. Let o be a(7). Let h = o - 50. Suppose 0 = 2*d - 2*g - 3 - 1, -14 = -4*d + g. What is the remainder when h is divided by d?
0
Suppose 3*i - 4*i + 994 = 0. Suppose -i = -7*x - 245. Suppose 101*j = x*j - 678. What is the remainder when j is divided by 9?
5
Let a(j) = j**3 + 6*j**2 - 4*j - 4. Let n(r) = -r**3 - 17*r**2 + 55*r + 102. Calculate the remainder when n(-20) is divided by a(-5).
38
Suppose 5*v = -5*x, 79*v - 3*x - 24 = 74*v. Suppose 3*m - 25 = -2*p, v*p - m - 4*m = 66. What is the remainder when 134 is divided by p?
15
What is the remainder when ((-651)/(-2170) - (-9266)/(-20))/(-1) is divided by 80?
63
Suppose -5*v - 21*v - 26 = 0. Let i(x) = -142*x**3 + x**2 - 5*x - 5. Let q = -54 - -83. Calculate the remainder when i(v) is divided by q.
27
Let b = -291 + 292. Let s(k) = 21*k**2 - 22*k + 21. Calculate the remainder when 64 is divided by s(b).
4
Let k(p) = p**3 - 51*p**2 + 3*p + 304. Calculate the remainder when k(51) is divided by 231.
226
Let t(n) = 14*n**2 - 3*n + 3. Calculate the remainder when t(2) is divided by (-21760)/(-340) - (44 - -3).
2
Let w(q) = 9*q**2 + 29*q + 119. Let r be w(-18). Suppose -32*o + r = 5*v - 30*o, -2*v - o = -1005. Calculate the remainder when v is divided by 24.
23
Suppose 4*a = -a + 1160. Suppose -1106 = -39*g + 727. Calculate the remainder when a is divided by g.
44
Let h = -61 - -65. Let m = 80 + -78. Suppose -m - 3 = -5*p. Calculate the remainder when h is divided by p.
0
Let k(c) = 3*c**2 - 2*c - 1. Let g be k(2). Let o(n) = n**2 - 7*n - 2. Let j be o(g). What is the remainder when 28 is divided by 1 - (5/(20/(-28)) - j)?
4
What is the remainder when -27*(27/108 + 206/(-24)) is divided by 165?
60
Let k = 4628 - 3789. Calculate the remainder when k is divided by 14.
13
Suppose 1404*i - 1410*i = -5796. Suppose 0 = 23*k - 0*k - i. Calculate the remainder when k is divided by 22.
20
Calculate the remainder when 2570 + -2 - ((1 - -4) + 3) is divided by 42.
40
Suppose 63 = -c - 4*v + 311, 2*v = 2*c - 536. What is the remainder when c is divided by 256?
8
Let a = 64 + -33. Let v = 1391 + -1256. Suppose 5*j + 3*n = v + 322, 2*n + 2 = 0. What is the remainder when j is divided by a?
30
Suppose 261*n = 226*n + 1225. Calculate the remainder when n is divided by 7.
0
Suppose 136 = q - 2*u, -121 = -q + 3*u + 2*u. Calculate the remainder when q is divided by 19.
13
Let i(m) = 8*m**2 + 5*m. S