y**3 + 11*y**2 + 5*y + 7. Let p(d) = 8*d**3 + 5*d**2 + 2*d + 3. Let n(t) = 7*p(t) - 3*u(t). Calculate the remainder when 22 is divided by n(1).
4
Let k be -2 + 2 + (-1 - -3). Suppose -k*l - 2*l = 0. Suppose -3*b - 4*r + 78 = l, 0*b - 4*r = 2*b - 52. What is the remainder when b is divided by 14?
12
Suppose -4*h + 5*h - 26 = 4*z, -28 = -4*h - 3*z. Calculate the remainder when h is divided by 18/4 + 4/(-8).
2
Suppose -5*l = -l - 4*k + 16, 3*k - 6 = -3*l. Let h be 8 - (l + 3 - 2). Let q = h - -4. Calculate the remainder when 34 is divided by q.
10
Suppose -4*o + 3*k = k - 4, -2*o + 12 = 4*k. Calculate the remainder when 2 is divided by o.
0
Let p(i) = i**2 + 3*i - 5. Let a be p(-5). Calculate the remainder when 17 is divided by (-9)/a*(-20)/6.
5
Let p = -59 + 82. What is the remainder when 66 is divided by p?
20
Let d = -130 + 226. What is the remainder when d is divided by 33?
30
Let h(b) = -b**3 + b**2 + 2*b. Let o be h(-2). Suppose 3*s + 55 = o*s. What is the remainder when s is divided by 7?
4
Let q(b) = b**2 + 3*b + 3. Let f be q(-6). Suppose -f = -x - 4. Calculate the remainder when 31 is divided by x.
14
Suppose -29*c + 25*c = -48. Calculate the remainder when 38 is divided by c.
2
Suppose 0 = -2*r - r + 2*v + 24, -19 = -r - 3*v. Suppose -j = -5*j. Suppose -2*u + u + r = j. What is the remainder when 37 is divided by u?
7
Let c = 35 - 11. Let a = 92 + -79. Calculate the remainder when c is divided by a.
11
Suppose 0*a - 8 = a - 3*w, 2*a = -4*w + 24. Let h = 19 - 7. Suppose 0 = -4*f - 0*g + 2*g + h, -4*g + 9 = 3*f. Calculate the remainder when a is divided by f.
1
Let g(z) = -10*z**2 - z - 2. Let u be g(-2). Let f = -24 - u. What is the remainder when 63 is divided by f?
15
Let j = 36 - 22. Suppose 0 = 3*l - 4 + 31. Let z = -4 - l. Calculate the remainder when j is divided by z.
4
Let o = -6 + 8. Let v be o/4 + 5/2. What is the remainder when 66 is divided by 0/v + 19 + -2?
15
Suppose w - 9 = -0*w. What is the remainder when 26 is divided by w?
8
Let s = -18 + 65. Suppose s + 10 = 3*u. What is the remainder when u is divided by 10?
9
Let t = 16 + -11. Let l = t + -2. Suppose -l*v + 41 = -5*o, 5*v + 7*o = 2*o + 55. What is the remainder when 34 is divided by v?
10
Suppose -l + 307 = 2*v, v + l - 2*l = 155. Calculate the remainder when v is divided by 26.
24
What is the remainder when (3/2)/(7/(-728)*-4) is divided by 15?
9
Let t(d) = -d**2 + 9*d - 5. Let o(a) = -8*a + 16. Calculate the remainder when o(-1) is divided by t(6).
11
Let n = -134 - -193. Calculate the remainder when n is divided by 30.
29
Suppose 3*b = 7 + 23. What is the remainder when 26 is divided by b?
6
Suppose 2*y = -2*v + 4*v + 114, 119 = 2*y - 3*v. Calculate the remainder when y is divided by 9.
7
Let p(x) = -x**2 + 8*x - 5. What is the remainder when 22 is divided by p(6)?
1
Suppose 2*j - 22 = 8. Calculate the remainder when 29 is divided by j.
14
Suppose 5*f - 28 = -3*n, -2*f = n - 4 - 8. Calculate the remainder when 30 is divided by f.
6
Let a(x) = -3*x - 2. Let s(j) = -j**2 - 5*j - 3. Let g be s(-3). Suppose -c = g + 1. What is the remainder when 29 is divided by a(c)?
9
What is the remainder when 18 is divided by (5/2)/((-18)/(-8) + -2)?
8
Let s(r) = -r**3 - 4*r**2 + 6*r + 2. Let b be s(-5). Let g = 6 + b. What is the remainder when 3 is divided by g?
0
Let v(i) = 4*i**3 - 5*i**2 + 5*i. Calculate the remainder when 26 is divided by v(2).
4
Let w be (0 - 10)*1/(-2). Let q(t) = -t**3 + 4*t**2 + 6*t + 5. Calculate the remainder when 37 is divided by q(w).
7
Suppose 966 = 5*p - 4*t - 532, 0 = -4*p + 3*t + 1198. What is the remainder when p is divided by 60?
58
Suppose -15 = -3*z, 2*v - 26 = -z + 23. Calculate the remainder when 64 is divided by v.
20
Let b be 27/(-5) - (-6)/(-10). Calculate the remainder when (3 - 7)*(-2 + b) is divided by 12.
8
What is the remainder when 8/(-12) + (-130)/(-6) is divided by 13?
8
Suppose -2*x = 2*p - 8, -5*x + 4*p = -p. Let i(z) be the second derivative of z**4/6 - z**3/3 - z**2 - 3*z. Calculate the remainder when i(2) is divided by x.
0
Let t = 19 - 2. What is the remainder when 82 is divided by t?
14
Let k = 1 + -18. Let f = 54 + k. What is the remainder when f is divided by 13?
11
Let f = -61 + 111. Calculate the remainder when f is divided by ((-26)/(-8))/(4/16).
11
Suppose -5*z + 0*z + 10 = 0. Let q(w) = -5*w - 23. What is the remainder when q(-12) is divided by 26*1*1/z?
11
Suppose 6*r - 6 = 4*r. Suppose -70 = -r*o + o. Calculate the remainder when o is divided by 13.
9
Suppose -4*w = -3*y + y + 24, -4*y - 3*w + 37 = 0. Suppose -2*n + 14 = -2. Let i = 21 + n. Calculate the remainder when i is divided by y.
9
Let n(m) = 2*m**2 - 16*m - 4. Let w be n(11). Suppose -4*t + 2*t = 3*k - w, -5*t = -4*k + 121. What is the remainder when k is divided by 13?
11
Let f = -8 + 31. Calculate the remainder when 113 is divided by f.
21
Suppose 0 = -3*b + 7*b - 28. Let r(n) = n**3 - 7*n**2 + 5*n - 1. Calculate the remainder when r(b) is divided by (-2)/(-2 - 0) + 8.
7
What is the remainder when 19/(1/((-1)/(-1))) is divided by 10?
9
Let w(h) = h**3 + h**2 + 101. Suppose 5*d - r - 130 = 0, -3*r + 8*r = -2*d + 52. Calculate the remainder when w(0) is divided by d.
23
Suppose 10 = -4*r + 86. Let g = -11 - -21. Calculate the remainder when r is divided by g.
9
Let y = -7 - -14. Let u = y - 2. Suppose u*d + 25 = 60. Calculate the remainder when d is divided by 3.
1
Suppose -5*r = -4*h - 44, -3*h = -r + 3 + 8. Suppose -r = -o - 3*o. Calculate the remainder when 2 is divided by o.
0
Let x = -69 + 97. Let s = 14 - 9. What is the remainder when x is divided by s?
3
Let t = 14 + -20. Let m(v) = 4 + v - 3*v - 5*v - 7*v**2 - v**3. Calculate the remainder when 19 is divided by m(t).
9
Suppose -4*q + 0*v + 13 = -5*v, -4*q - 5*v = -3. Suppose 2 = -q*w + w. What is the remainder when 25 is divided by (0 - w)/2 - -8?
7
Suppose -14 = -5*z + 6. Let f(t) = t**3 - 4*t**2 + 2*t - 2. Let w be f(z). Suppose -4*h + w = 2. What is the remainder when 1 is divided by h?
0
Suppose 3*y - 90 = -5*a + 2, -4*y = 2*a - 104. Suppose p - 2 = y. What is the remainder when p is divided by 15?
11
Suppose -4*d = 2*k - 7*d - 37, 5*k + 4*d = 81. Calculate the remainder when k is divided by 5.
2
Suppose -3*o + 114 = -5*i - 160, -2*o = i - 161. What is the remainder when o is divided by 28?
27
Let i(a) = -3*a**2 + 6*a + 14. Let y(p) = 4*p**2 - 6*p - 14. Let l(k) = 5*i(k) + 4*y(k). What is the remainder when l(-6) is divided by 8?
6
Let t = -7 + 13. Suppose -2*n = -5*n + 51. Calculate the remainder when n is divided by t.
5
Let i be (3/2)/((-6)/(-16)). Suppose i*n = 6*n - 16. Calculate the remainder when -4*(-2)/12 + (-160)/(-12) is divided by n.
6
Let r = 14 + -2. Let v(u) = 2*u + 3. Let n be v(-4). Let h(y) = -6*y - 7. What is the remainder when h(n) is divided by r?
11
Let s(g) = -g**3 + 5*g**2 - 6*g + 7. Let l be s(5). Let c = l + 66. Suppose 0*j - j = -15. Calculate the remainder when c is divided by j.
13
Let l(j) = 3*j - 33. Calculate the remainder when 37 is divided by l(16).
7
Let o be 3/(-18)*-4*3. Suppose o*n - 26 = 28. Suppose -14 - 28 = -3*x. Calculate the remainder when n is divided by x.
13
Let w(q) = -q**2 - 7*q - 5. What is the remainder when w(-4) is divided by -1 - 34/(-9) - 4/(-18)?
1
Suppose 0*n - 2*k = 3*n - 53, -3*n = -k - 50. Suppose -4*i - n = -3*m, 0*m - m - 3*i + 10 = 0. Calculate the remainder when 19 is divided by m.
5
Suppose 4*k = 2*g - 14 - 34, -3*g = 2*k - 104. Suppose -187 = 2*x - 13*x. What is the remainder when g is divided by x?
15
Suppose 0*v - 4*v = -32. Let i = v - 6. Suppose 0 = -4*b + 2*u + 12, -2*u - 10 = 3*u. What is the remainder when b is divided by i?
0
Suppose -19 = -2*o + 3. Suppose -17 = -4*r + o. What is the remainder when 1*-4 - (9 - 31) is divided by r?
4
Suppose 0 = 5*n - 2*k - 183, 2*k = 4*k + 8. Let b = -4 + 16. Calculate the remainder when n is divided by b.
11
Suppose -39 = -3*j + 102. Calculate the remainder when 184 is divided by j.
43
Let x = 306 + -128. Suppose -4*y + x = w, -5*y + 235 = -6*w + w. Calculate the remainder when y is divided by 12.
9
Let k be (-3)/9 + 238/3. Suppose -k = -5*g - 9. Calculate the remainder when g is divided by 8.
6
Let v = -4 - -7. What is the remainder when (-6)/(-2)*-1*-3 is divided by v?
0
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