 5*w + 3*m + 22 = 0. Let z(n) = 67*n**2 - n. Calculate the remainder when z(1) is divided by w.
15
Let y(a) = -a**3 - 11*a**2 - 3*a - 14. Let h be y(-11). Suppose -h*c + 12 = -21*c. Calculate the remainder when 6 is divided by (-2)/(-3) - 2/c.
0
Let p be (-6)/(-27) + 77/(-63). Let f be 2/2*(0 + (-3)/p). Suppose -3*h + 3*n + 706 = -2*n, -f*n - 472 = -2*h. What is the remainder when h is divided by 35?
32
Suppose l - 768 = -2*h - 305, -4*l = -3*h + 667. What is the remainder when h is divided by 39?
34
Let n(j) = -j**3 + 26*j**2 + 56*j - 20. Let t be n(28). Let b = t + 23. What is the remainder when 16 is divided by b?
1
Let p = 72 + -46. Suppose 0 = -2628*r + 2650*r - 3982. What is the remainder when r is divided by p?
25
Let z(l) = -l + 47. Let p(a) = -2*a**3 - 11*a**2 + 62*a + 342. Calculate the remainder when z(0) is divided by p(-5).
5
Let p be (-1)/3 + -1*755/(-15). Let b be (4/(-40)*-14)/(5/p). Suppose 2*z = -y + b, 0 = -2*y - 11*z + 8*z + 33. What is the remainder when y is divided by 13?
11
Let j be 11/55 + 76/(-5). Let w be ((-5)/j)/(1/(-3)). Calculate the remainder when 31 is divided by (-4 - (-15 + w)) + -1.
9
Let x be (20/4 - 4)*(2 - 0). Let w be x/((-4)/6) + 15/1. Suppose -k - w + 52 = 0. Calculate the remainder when k is divided by 15.
10
Suppose -4*r + 8*r = 104. Suppose 4*x - 143 = -g - r, 2*g = -6. What is the remainder when 67 is divided by x?
7
Let k(j) = 4*j - 3. Let l be 22/4 - 13/26. Suppose 0 = -4*h - 4*a, 2*a = -2*h - a - 3. Calculate the remainder when k(l) is divided by h.
2
Suppose -184 = -2*k + 3*l, 0 = -4*k + 2*l + 477 - 117. Suppose -159 = 2*a + k. What is the remainder when (-12)/2*3/(36/a) is divided by 9?
8
Suppose -4*c = -7*c + 3*f + 81, 2*c = f + 55. Suppose 0 = -2*x + 4*o - 22, -3*x - 1 = 2*o. What is the remainder when c is divided by x/(-2)*(-40)/(-6)?
8
Let k(q) = 2*q**2 + 4*q - 1. Calculate the remainder when ((-276450)/(-15675))/(4/22) is divided by k(-5).
10
Let u(t) = t**3 + 24*t**2 - 22*t + 79. Let q be u(-25). Suppose 102 - 369 = -d + q*j, -1008 = -4*d + j. Calculate the remainder when d is divided by 36.
35
Calculate the remainder when 1239 is divided by (-4598)/(-190) + -24 + (-2098)/(-10).
189
Let k(o) = 43*o + 911. What is the remainder when k(15) is divided by 27?
17
Calculate the remainder when 6/(-15) + (-39069)/(-135) is divided by 132.
25
Let i(x) = -x**3 - 93*x**2 - 274*x - 193. What is the remainder when 1857 is divided by i(-90)?
20
Let f(m) = 9*m**2 - 14*m - 8. Let h be f(-4). Let r = h - 114. Calculate the remainder when r is divided by 26.
0
Suppose -14*j + 7571 = -3177 - 11540. What is the remainder when j is divided by 28?
24
Let b = -4540 - -4544. Calculate the remainder when 44 is divided by b.
0
Suppose -2*q + 3*q = 1035. Suppose 2*x - 32 = -2*t, t + 2*t = -x + 14. What is the remainder when q is divided by x?
15
Let w = 31 - 25. Suppose w*u - 5 = 3*n + 2*u, n + 5 = 2*u. Suppose n*b - 100 = 25. Calculate the remainder when b is divided by 13.
12
Let s = -2307 - -2474. What is the remainder when s is divided by 8?
7
Let b be -3 + 10*(-8)/(-20). Let d be b/((2 + -3)*-1). What is the remainder when ((-15)/(-60))/(d/20) is divided by 2?
1
Suppose 123*y + 50*y - 1268904 = -23*y. Calculate the remainder when y is divided by 6.
0
Let u = 4 + 3. Let y(o) = -2*o**3 + 22*o**2 - 31*o - 18. What is the remainder when y(9) is divided by u?
6
Let c = 676 - 674. Suppose 2*s = 4*v + 82, -c*v + 303 = 5*s + 38. What is the remainder when s is divided by 8?
3
Suppose 42*k - 137*k = 100*k - 1271790. Calculate the remainder when k is divided by 136.
130
Let p(s) = s**2 - s + 1. Let w be (1*2 + 12/6)/(-2). Let i = w - -10. Calculate the remainder when p(-3) is divided by i.
5
Let r be 34/153 + 38/(-9). Let l(h) = 2*h**2 + 2*h - 8. What is the remainder when (-242)/(-8) + (-5)/20 is divided by l(r)?
14
Suppose 7792 = -3*s + 19*s. Let n = -348 + s. Calculate the remainder when n is divided by 37.
28
Suppose 0 = -4*r + 4 - 20, 0 = -2*d + r - 4. Let b(j) be the second derivative of -j**3 - 9*j**2 - 4*j + 944. What is the remainder when 9 is divided by b(d)?
3
Suppose 3*r = -3054 + 3378. Calculate the remainder when 409 is divided by r.
85
Let f = 104 - 86. Suppose 3*n - 2539 + 307 = 0. Calculate the remainder when n/10 + f/30 is divided by 19.
18
Suppose 0 = -2*r, -6*h - r + 84 = -2*h. Suppose 893 = 5*z + 2*g, -17*g + h*g = 16. Calculate the remainder when z is divided by 56.
9
Let u = 1428 - 1256. Calculate the remainder when u is divided by (-8246)/(-140) - 2/(-20).
54
Let o = 1033 - 457. Let k = o + -423. What is the remainder when k is divided by 80?
73
Let f be (176/40)/((-2)/(-10)). Suppose 27*z - 45 = f*z. Suppose 0 = -7*t - z*t + 112. What is the remainder when 23 is divided by t?
2
Suppose 2*b - 5*v = -17, 2*v - 34 = -3*b + v. Calculate the remainder when 628 is divided by b.
7
Let c be (-26)/65 + (-2)/((-20)/74). Let z = 27 - 20. Suppose c = -6*n + z*n. Calculate the remainder when 32 is divided by n.
4
Calculate the remainder when 4/((-1 - 1) + (-1140)/(-550)) is divided by 14.
13
Suppose -225 = 15*o - 1140. What is the remainder when 304 is divided by o?
60
Let j(f) = -17*f**2 - 38*f + 44. Let u(b) = b**3 + b**2 - 2. Let s(d) = j(d) + u(d). Calculate the remainder when 17 is divided by s(18).
5
What is the remainder when 758 is divided by (-14)/21 - 2480/(-12)?
140
Let j(m) = 1 + 13*m**2 + m**3 - 3 + 4. Let n be j(-13). Suppose -3*l + 3*a - 6*a = -3, 14 = n*l - a. What is the remainder when 6 is divided by l?
1
Let c(a) = 15*a - 105. Let q(z) = -4*z**2 + 15*z - 1. Let k be q(3). What is the remainder when 23 is divided by c(k)?
8
Let v(h) be the first derivative of 49*h**2/2 - 3*h + 211. Calculate the remainder when v(1) is divided by 12.
10
Let m(g) = -g**2 + g + 10. Let x be m(-3). Let j be (-2 - x)/(8/8). Suppose j = -2*v + 171 + 25. Calculate the remainder when v is divided by 9.
8
Suppose -12 = -39*z + 33*z. Calculate the remainder when 1772/z*(-12 + (-350)/(-28)) is divided by 74.
73
Calculate the remainder when (-1250)/1500 + 1798/12 is divided by 32.
21
Let l = 35958 + -34591. What is the remainder when l is divided by 16?
7
Let w = 24 - -4. Suppose -w*t = -646 + 170. What is the remainder when 65 is divided by t?
14
Let k(q) = -q**2 + 34*q + 1254. Let c = 7 + 2. Calculate the remainder when k(-22) is divided by c.
4
Suppose -20 = -4*c, 4*r + 4*c - 2*c = 22. Suppose r*z - 4*o = 113, 4*z + 5*o - 148 = 9*o. What is the remainder when z is divided by 4?
3
Let y(c) = c**2 - 2*c + 1. Suppose 66 = -9*x + 282. Suppose -5*m + 39 = x. What is the remainder when m is divided by y(2)?
0
Suppose 168 = 6*a - 2*a. What is the remainder when a is divided by 3 + (-244)/84 + 2977/273?
9
Suppose -54*u + 5*u = 41*u - 13320. What is the remainder when u is divided by 14?
8
Let z = 18806 - 637. What is the remainder when z is divided by 115?
114
Let p = 80 - 53. Let q = -2593 - -2727. Calculate the remainder when q is divided by p.
26
Let d be 7/(-5) + 2 - 348/(-20). Suppose 20 = d*u - 14*u. Suppose -4*p = -4*o + 653 + 35, o - u*p = 164. What is the remainder when o is divided by 45?
39
Suppose 3*o - 2*o + 4 = 3*k, -2*k + 12 = -3*o. Suppose 4*l + 7*x - 2*x = 21, k = -5*l + 2*x + 51. Calculate the remainder when 34 is divided by l.
7
Let o = -66 - -113. Calculate the remainder when (30 + 638/22)*(3 + -2) is divided by o.
12
Suppose 5*j + p = 18, p - 20 = -17. What is the remainder when 868 is divided by j?
1
Let g be (40880/(-168))/(32/18 - 2). Let f = g - 701. Calculate the remainder when f is divided by 57.
52
Let y(c) = 40*c**2 - 431*c + 11. Let l(x) = x**2 + 2*x - 7. Calculate the remainder when y(11) is divided by l(-7).
26
Suppose -3*q + 4*u + 43 = -5, -2*q - 3*u + 32 = 0. Suppose 5*v - 1243 = 442. Suppose -35 - v = -4*n. What is the remainder when n is divided by q?
13
Suppose -2*q + 26 = -2*r, -7*q + 2*q = 2*r - 30. Let f(l) = 2*l**3 - 8*l**2 - 113*l - 28. Calculate the remainder when f(10) is divided by q.
2
Suppose 0 = -n + 3*i + 23, -27 = -n - 129*i + 133*i. Calculate the remainder when 29 is divided by n.
7
Suppose -112*w - 6*w + 87084 = 0. What is the remainder when w is divided by 182?
10
Let v(a) = -2*a**3 + 99*a**2 - 56*a + 465. What is the remainder when 2315 is divided by v(49)?
119
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