late the remainder when 1*46*104/16 is divided by (45/(-15) - 12)/(-4 + (-13)/(-4)).
19
Calculate the remainder when 57/(-19) - 1*-19 is divided by (310/70 - 4) + 18/7.
1
Suppose -528*u + 277*u = -6777. What is the remainder when 6821 is divided by u?
17
Suppose -a + 4332 = 5*y, -39*a + 41*a + 3460 = 4*y. What is the remainder when y is divided by 142?
14
Let v(l) = -2*l - 32. Suppose -2*u - 3*r - 34 = -6*r, 4*r - 7 = u. What is the remainder when 83 is divided by v(u)?
13
Let r = 28824 + -28802. What is the remainder when 4948 is divided by r?
20
Let w = 21655 - 21331. What is the remainder when 4532 is divided by w?
320
What is the remainder when 72/(-48)*8944/(-6) is divided by 14?
10
What is the remainder when (-5448)/(-66) - (-72)/(-132) is divided by 38?
6
Suppose -4*g + 4*u = -234 + 126, 3*g - 4*u = 75. What is the remainder when 876 is divided by g?
18
Let a(y) = 2*y**3 + 55*y**2 - 59*y - 60. What is the remainder when a(-28) is divided by 115?
3
Suppose 5*a - 2*x + 1501 = 0, 8*x - 11*x + 607 = -2*a. Let p = -289 - a. What is the remainder when p is divided by 10?
0
Let o be (-57)/(-2)*52/3. Suppose -4*i + o = 2*d + 64, 4*i + 4*d - 420 = 0. Let x = i - 94. Calculate the remainder when x is divided by 3.
1
Let b = 513 - 263. Suppose 4*u - b = -2*l, -2*u + 59 + 48 = -5*l. Let t = u - 26. Calculate the remainder when t is divided by 9.
8
Let y(n) = 4*n - 4. Let v be 7 + -4 - 0*2/16. Suppose -v*h + 6 = i, -6*h - 12 = -2*h. What is the remainder when i is divided by y(3)?
7
Let a = 4655 + -3788. Calculate the remainder when a is divided by 19.
12
Let j = 4180 - 4114. What is the remainder when 1134 is divided by j?
12
Suppose -3*t = -3*d + 603, -2*d = -t - 528 + 122. Calculate the remainder when 534 is divided by d.
124
Suppose -475*g + 965*g = 473*g + 2346. Calculate the remainder when 203 is divided by g.
65
Let j(l) = -45*l + 10. Suppose -2*f + 73 = -5*s - 97, -5*s + 430 = 6*f. What is the remainder when j(-3) is divided by f?
70
Let v = -27901 + 27923. Calculate the remainder when 482 is divided by v.
20
Suppose 5*y + 2*j = -2*j - 12, y = 4*j + 12. Suppose -l + 4 = -m - y*m, 3*m = -9. What is the remainder when 52 is divided by l/((-6)/(-6)*2/58)?
23
Let s(f) = -7*f**3 - 15*f**2 + f + 42. Calculate the remainder when 1188 is divided by s(-4).
204
Suppose -13 = -4*r + 7, 3*r - 3 = 2*c. What is the remainder when (c/(-12) - 2)*-8 is divided by 4?
0
Suppose 163*i - 104*i = 44604. Let a(g) = -2*g - 2. Let t be a(-5). Suppose 2*k + i = t*k. Calculate the remainder when k is divided by 32.
30
Let l(f) = -f**2 - 70*f + 829. What is the remainder when (-5)/((-10)/4) + 73 is divided by l(10)?
17
Suppose 0 = 2052*p - 2021*p - 114545. Calculate the remainder when p is divided by 25.
20
Let t(n) = -n**2 + 25*n + 4. Suppose 4*c = 7*c - 51. Let w = 13 + c. Calculate the remainder when t(9) is divided by w.
28
Suppose 0 = -2*i + s - 2, s = 2*i + 3*i + 5. Calculate the remainder when 282 is divided by (i + 63/12 - 3)*12.
12
Let d(x) = -x**3 - 67*x**2 + 682*x - 131. What is the remainder when 4194 is divided by d(-76)?
15
Suppose -54*x - 3743 = -5*c - 53*x, -3*c + 2238 = 2*x. Calculate the remainder when c is divided by 69.
58
Let a = 41879 - 41862. Calculate the remainder when 800 - (2 - 0/(-3)) is divided by a.
16
Let i be 1 - -8 - 60/(-20). Suppose -13*p + i*p + 22 = 0. Let c(u) = -u**3 + 10*u**2 - 4*u - 2. What is the remainder when c(9) is divided by p?
21
Let z be 0*(-14)/140*(1 + 0). Let w(g) = -14*g + 74. Calculate the remainder when w(z) is divided by 21.
11
Suppose 4*m - 2*b - 2682 = 0, 3*m - 1998 = 46*b - 49*b. What is the remainder when m is divided by 68?
57
Suppose 5*o + 4*p - 320 = 0, -2*o + 19 = 3*p - 109. Suppose 104*y = -6*y + 15180. Calculate the remainder when y is divided by o.
10
Let h(w) = -w**2 - 27*w - 79. What is the remainder when 2901 is divided by h(-18)?
79
Let l be -4 + 28/7 - 302/1. Let v = -281 - l. Calculate the remainder when 31 is divided by v.
10
Suppose -3*o - 3*k + 18 = 0, 2*k = -2*k + 8. Suppose -o*n = -16, 0 = 2*g + 5*n - n - 142. Calculate the remainder when 377 is divided by g.
62
Let u(k) be the first derivative of 2*k**3/3 + 15*k**2/2 - 13*k - 78. What is the remainder when u(-9) is divided by 10?
4
Suppose 3*p - 4*p = -76. Suppose 11*k + 30 - 85 = 0. Suppose -k*x + 13*x = 312. Calculate the remainder when p is divided by x.
37
Suppose 0 = -4*h - 33*o + 37*o + 628, 4*o = -4*h + 596. What is the remainder when 351 is divided by h?
45
Let n = -79 + 301. Suppose -3*x + 40 = -30*l + 31*l, 5*x - 60 = -5*l. What is the remainder when n is divided by x?
12
Suppose -t + 5*q - 20 - 121 = 0, -q = 4*t + 627. Let z = t - -171. What is the remainder when 87 is divided by z?
12
Let i = -32758 + 32765. Let j(o) be the second derivative of 7*o**3/2 - 3*o**2/2 + o. Calculate the remainder when j(3) is divided by i.
4
Suppose 423 = 5*m - 5*r + 4*r, m + 2*r - 89 = 0. What is the remainder when 1718 is divided by m?
18
Calculate the remainder when 86 is divided by (166 - 84)/(2*1).
4
Suppose 3*w = 10 + 56. Suppose -9*f = 4*f - 52. Suppose 0 = -5*g - 0 - 10, -5*g = -f*i + 170. What is the remainder when i is divided by w?
18
Let n = -182 - -184. Let v(z) = -8*z + 15. Let b(u) = 7*u - 15. Let t(s) = -5*b(s) - 4*v(s). What is the remainder when 34 is divided by t(n)?
7
Suppose -6*q - 917 = -977. Suppose -22 = 5*v - 212. Calculate the remainder when v is divided by q.
8
Suppose -22*f - 5091 = -27*f + 17*h, -4*f + 4020 = 4*h. Calculate the remainder when f is divided by 15.
3
Let x = 319 - 315. Suppose 5*d = n + 11 + 26, 4*n - d = -110. Let z = n + 36. Calculate the remainder when z is divided by x.
1
Let w(r) = 98*r + 101. What is the remainder when 896 is divided by w(-1)?
2
Let c(m) = -32*m + 150. Let w be c(28). Let z = w - -773. What is the remainder when 209 is divided by z?
20
Suppose -11029 = -81*r + 10719 - 7249. Calculate the remainder when 519 is divided by r.
161
Let j = 449 - 234. Let v = 217 - j. Calculate the remainder when 5 is divided by v.
1
Suppose 39 = 18*o - 17*o. Suppose -4*f = -8*f - 52. Calculate the remainder when o is divided by -3 - f*(-2 + 3).
9
Let h(c) = c - 5. Let g = 151 + -107. Let d = 50 - g. What is the remainder when d is divided by h(9)?
2
Let w(p) = 121*p + 2608. What is the remainder when 529 is divided by w(-21)?
60
Suppose 0 = 17*h + 1315 - 3763. What is the remainder when 567 is divided by h?
135
Let t be -20 + 19 + (3 - -1). Suppose -18 = -t*s + 18. What is the remainder when s is divided by 3?
0
Suppose -164 = -10*h - 664. Let p = h - -54. Calculate the remainder when (-36)/27 - (424/(-3))/p is divided by 10.
4
Let q = 3180 - 3050. What is the remainder when 3505 is divided by q?
125
Let z be (-7)/21*(-3 - (18 + -3)). Let t(p) = 10*p**2 + 8*p - 53. Calculate the remainder when t(z) is divided by 33.
25
Let d = -6 + 0. Let m be (3 + 10/d)/(4/18). Suppose m*j - 3*j = 54. What is the remainder when 32 is divided by j?
14
Let t(b) = 3*b + 62. Let x = -9 - -21. Calculate the remainder when ((-516)/x)/(-1*1) is divided by t(-17).
10
Let f(m) = 4*m**2 + m - 2. What is the remainder when 120/5 - 24957/(-177) is divided by f(-2)?
9
Let v = -15741 - -30316. What is the remainder when v is divided by 243?
238
Suppose -3*c = -5*y - 29, 0*c + 3*c = -4*y + 74. Suppose -c*u = -2106 - 3600. Calculate the remainder when u is divided by 53.
52
Let g(x) = -9*x**2 - 5. Let p be 208/36 - 2/(-9). Let a(b) = -b**2 - b. Let w(f) = p*a(f) - g(f). Calculate the remainder when 86 is divided by w(4).
28
Suppose 0 - 16 = 4*s, -s = 3*i - 86. Let t = -25 + i. Suppose 0 = 4*p - p + 5*b - 19, -t*p + b = -69. Calculate the remainder when 36 is divided by p.
10
Let p(m) = m**3 - 17*m**2 - 15*m - 10. Let s(a) = 11*a - 15. Let y be s(3). Calculate the remainder when 83 is divided by p(y).
39
Let j(h) = 15*h**3 - 96*h**2 - 34*h - 7. What is the remainder when 1181 is divided by j(7)?
5
Let z be 930 - ((-6)/(-8))/((-2)/(-8)). Let i = z - 890. Calculate the remainder when 37 is divided by i.
0
Suppose -t - 15 = -55. Let b(x) = x**2 + 15*x + 40. Suppose -5*w = -m + 65, 2*m - 6*m - 13 = w. What is the remainder when t is divided by b(w)?
12
Suppose -49120 = -96*s + 56*s. Calculate the remainder when 2467 is divided by s.
11
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