i(-3). Let w = 47 + y. What is the remainder when w is divided by t(0)?
9
Suppose -3*b - 2*b + 3*t = -195, 0 = 3*b - 4*t - 106. Calculate the remainder when b is divided by 37.
5
Suppose 5*w - 10*w + 4*q + 891 = 0, 0 = -2*w - 3*q + 361. What is the remainder when w is divided by 31?
24
Let i = -2 - -2. Suppose 0 = -n - 3*h - i + 13, -3*h = 0. Suppose -2*d - 3*d = -k - 13, 0 = d - 5*k + 7. What is the remainder when n is divided by d?
1
Let v(b) = -2*b**3 - 4*b**2 - 5*b - 3. Calculate the remainder when 108 is divided by v(-3).
18
Let u be 2/((-4)/(-18)*3). Let v(p) = -1 + 1 + u + 6*p + 6 + p**2. What is the remainder when 48 is divided by v(-8)?
23
Let s = -7428 - -7436. Calculate the remainder when (3/2)/((-1)/(-36)) is divided by s.
6
Let p(b) = b**3 - 4*b**2 + 6*b - 14. Let i be p(5). Let u = i + -20. What is the remainder when u is divided by 13?
8
Suppose 0 = -3*q + 96 + 168. What is the remainder when q is divided by 41?
6
Let y(a) = a**3 + 6*a**2 + 2*a - 4. Suppose 4*d - d - 6 = 0. Let g(n) = -3*n + 3. Let u be g(d). Calculate the remainder when 33 is divided by y(u).
16
Let m = 534 - 295. What is the remainder when m is divided by 15?
14
Let j(l) = -21*l + 35. Let o(s) = 4*s - 7. Let v(m) = 2*j(m) + 11*o(m). Let b be v(-18). Calculate the remainder when 19 is divided by b/(-9) - (-2)/9.
4
Suppose -6*b - 35*b + 9717 = 0. Calculate the remainder when b is divided by 16.
13
Let i = 6 - -31. Let v be (1 - -8) + (18 - 22). Suppose -v*q = -136 - 404. Calculate the remainder when q is divided by i.
34
Suppose 19 = 2*w - j, -32 = -0*w - 4*w - 4*j. Suppose -3*d + 108 = -5*k, 2*k - 47 = -d - 0*d. Calculate the remainder when d is divided by w.
5
Let n = 552 + -477. Calculate the remainder when n is divided by 30.
15
Suppose -r - 2*n - 3016 = -5*r, 0 = r - 5*n - 745. What is the remainder when r is divided by 27?
26
Let d = -446 + 1094. Calculate the remainder when d is divided by 93.
90
Calculate the remainder when (16/2)/((-272)/(-134) + -2) is divided by 84.
16
Let o = 14 + 16. Calculate the remainder when (99/(-132))/(3/(-476)) is divided by o.
29
Calculate the remainder when 312 is divided by (123/(-4))/(-14 - (-545)/40).
66
Suppose 0 = -5*y + 9*y - 36. Suppose -g - 2 = 0, -5*v + g + 604 = -g. Suppose 0*t = -5*t + v. What is the remainder when t is divided by y?
6
Let h be (-178)/(0 + 2) + -3. Suppose 5*t + 290 = -z + 5*z, -2*t + 346 = 5*z. Calculate the remainder when z is divided by -4 - (h/4 - -1).
16
Let v(o) = 28*o**2. Suppose -4*j = -162 - 170. What is the remainder when j is divided by v(1)?
27
Let d(t) = t**2 + 9*t + 36. What is the remainder when 65 is divided by d(-8)?
9
Calculate the remainder when 17 - (-4 + -6 + 13) is divided by 11.
3
Let a(y) = 12*y + 2. Let l be a(-1). Let r be 2/l - (-136)/5. What is the remainder when 53 is divided by r/36*2*18?
26
Let q = -459 - -490. Calculate the remainder when q is divided by 8.
7
Suppose 74*r + 10 = 62*r + 202. Calculate the remainder when 2/9 - 842/(-18) is divided by r.
15
Let t(s) = -17*s - 10. What is the remainder when t(-6) is divided by 20?
12
Suppose 4*l - 17 = -k, 6*k + 3*l - 60 = 3*k. What is the remainder when k is divided by 41/205*(55 + 0)?
10
Let o be 6/(-2) - (-2 - -34). Suppose -5*a + l + 57 = 0, 5 + 3 = -4*l. Calculate the remainder when (3 - o) + 3*1 is divided by a.
8
Suppose -8 = x - 14. Let j(a) = -a**2 - 7*a + 1. Let s be j(-5). Let p = s + -7. Calculate the remainder when x is divided by p.
2
Let r(v) = 13*v**2 + 14*v - 15. Let m be r(1). Suppose 5*h = 5*s + 1665, 4*s = h - 128 - 220. Calculate the remainder when h/3 - m/36 is divided by 28.
25
Suppose 0 = -63*g + 69*g - 84. What is the remainder when 40 is divided by g?
12
Let q(j) = j**3 - 5*j**2 + 14*j - 60. Calculate the remainder when 377 is divided by q(5).
7
Let o = 94 + -92. What is the remainder when 33 is divided by o?
1
Let f = -1804 + 1929. What is the remainder when f is divided by 43?
39
Suppose 3*w + 3*w = 18. Calculate the remainder when 74 is divided by w.
2
Let w(c) = -4*c - 5. Let y be w(-2). Suppose -2*b = -y*b - 3*m + 75, 0 = 4*b - 5*m - 232. Calculate the remainder when b is divided by 13.
11
Let q = -224 - -521. Suppose -q = -10*c + c. Calculate the remainder when c is divided by 12.
9
Suppose -4*i + 156 = -3*c, 3*c + 32 = i + 4*c. What is the remainder when i is divided by 23?
13
Suppose 0 = -5*y - 116 + 791. Suppose -x - 4*x = -y. Calculate the remainder when 35 is divided by (x/(-9))/(1/(-3)).
8
Let y(o) = 3*o**3 + 2*o**2 - 5*o + 1. Calculate the remainder when y(3) is divided by 18.
13
What is the remainder when 47 is divided by (-16)/52*((-204)/24 - -2)?
1
Let u(t) be the third derivative of t**6/120 + t**5/12 - 7*t**4/12 + 2*t**3 + 11*t**2. Calculate the remainder when 68 is divided by u(-7).
8
Let n(q) = q**3 - 26*q**2 + 4*q - 44. Let m = 2 + 5. What is the remainder when n(26) is divided by m?
4
Let x be (1 + -9)*(-7)/14. Suppose -5*y = -x*h + 22, h - 2*y + 5 = 4*h. Let n = 6 - h. What is the remainder when 4 is divided by n?
1
Suppose -d = 3*h + 2*d - 1638, 4*h - 4*d - 2160 = 0. Calculate the remainder when h is divided by 17.
16
Suppose -25 = -5*s - 0*s, -g + 59 = s. Let d = -97 - -102. Suppose 0 = 5*x - 5*h - 70, 70 = d*x + 6*h - 3*h. Calculate the remainder when g is divided by x.
12
Let v = -90 + 108. Suppose -2*t - v = -a, 2*a - 26 = 4*t - 2*t. What is the remainder when 37 is divided by a?
5
Suppose -4*k - d - 3 = -11, 0 = -5*d - 20. Suppose 5*t = -k*h + 39, -t - 3*t = -5*h + 28. Let a = 19 - h. What is the remainder when 41 is divided by a?
8
Let h be 1/(-5)*0 - -138. Suppose 0 = r + 5*r - h. Calculate the remainder when r is divided by 9.
5
Let p be (4 + (-20)/6)*-3. Calculate the remainder when 16 is divided by (27 + -39)/(-3 - (p + 1)).
4
Suppose -5*k = -5*d - 23 - 17, 0 = -3*k + d + 34. Calculate the remainder when (8/(-6))/((-10)/375) is divided by k.
11
Calculate the remainder when (-7 - (-220)/50)*-5 is divided by 3.
1
Let j(f) = -52*f**3 + 3*f**2 + 2*f - 4. Let l be j(1). Let b = 138 + l. Let w(u) = 22*u**2. Calculate the remainder when b is divided by w(-1).
21
Suppose -11*d + 702 = 163. Calculate the remainder when 188 is divided by d.
41
Let a = 1879 + 133. Calculate the remainder when a is divided by 12.
8
Let m = -35 + 57. Suppose -7 = -p - 3, -5*t = -p - 116. Calculate the remainder when (-3)/(-4) - (-1518)/t is divided by m.
20
Suppose -340 - 1511 = -2*q + 3*s, 939 = q + 3*s. Calculate the remainder when q is divided by 19.
18
Let a(h) = -7*h - 12. Suppose -3*p + 2*p = -4. Suppose -2*z + 1 = u, p*z - 9 = -3*u + 2*u. Calculate the remainder when a(u) is divided by 20.
17
Let g = -414 - -832. Calculate the remainder when g is divided by 42.
40
Suppose -3*x + 16 = x, 5*d - 3*x - 363 = 0. What is the remainder when 373 is divided by d?
73
Let a be -3*(-1 + (-164)/(-6)). Calculate the remainder when a/(-3) - 8/24 is divided by 0*1/(-2) - -7.
5
Suppose 22 = 3*o - 2*k, -o - 11 = -4*k - 35. Suppose 0 = o*x - 117 - 159. What is the remainder when x is divided by (-2)/8 + (-1022)/(-56)?
15
Let h(l) = -52*l**3 + 1. Let v(j) be the second derivative of j**4/12 + 5*j**3/3 + 7*j**2/2 - 11*j. Calculate the remainder when h(-1) is divided by v(-11).
17
Let n = 24 + -16. Let u = n + -4. Suppose 12 = -4*r + r - 5*v, 0 = 4*r - 4*v - 16. Calculate the remainder when u is divided by r.
0
Suppose -16*m + 19*m = -3*q + 345, -m = 3*q - 341. What is the remainder when q is divided by 15?
8
Let g(n) = n**2 - 6*n - 2. Let j be g(7). Suppose -j*m + 11 = 3*p - 39, -12 = m + 5*p. Calculate the remainder when m is divided by 9.
4
Suppose 18*u - 15*u - 15 = 0. What is the remainder when 98 is divided by u?
3
Let g(j) = -j**2 - 21*j - 42. Let o = -65 + 47. What is the remainder when 44 is divided by g(o)?
8
Suppose -4*s - 4*t + 3*t = -2264, 3*s - t = 1705. What is the remainder when s is divided by 13?
8
Let m = -273 + 315. Calculate the remainder when 162 is divided by m.
36
Let t = -63 - -70. Suppose t*l = l + 468. Calculate the remainder when l is divided by 41.
37
Let t(j) = 7*j - 118. What is the remainder when t(18) is divided by (-2)/(-11) - (-31)/11?
2
Let w(q) = q + 1. Let i be w(2). Suppose -2*n - 3 = k, -i*n = -3*k - k + 21. Calculate the remainder when 7 is divided by k.
1
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