culate the remainder when f is divided by 7.
4
Suppose -2*o + 482 = 4*q + 3*o, 3*q + 3*o - 363 = 0. Calculate the remainder when q is divided by 42.
39
Suppose 42 = 6*v - 6. What is the remainder when 22 is divided by v?
6
Let d(b) = 2*b**2 - 5*b + 3. Let f be d(5). Suppose -f = -5*m + 7. What is the remainder when ((-36)/21)/((-2)/m) is divided by 2?
0
Let r = 50 - 37. Let x(f) = -4*f**3 + 2*f**2 + 2*f + 1. Suppose -2*u = 2*u - y - 1, -2*u - y - 7 = 0. What is the remainder when r is divided by x(u)?
3
Suppose 3*t - 2*t = 14. Calculate the remainder when 41 is divided by t.
13
Let w(k) = k**2 + 9*k - 8. Let z be w(-10). Let y(f) = -3*f - 4. Calculate the remainder when y(-5) is divided by (3 - z - 3) + 6.
3
Let a(x) = x**3 - 6*x**2 - 6*x + 8. Let y(w) = -w**3 - 4*w**2 + 3*w - 3. Let n be y(-5). What is the remainder when 43 is divided by a(n)?
13
Suppose -9 + 39 = 2*b. Let v = -1 + b. What is the remainder when (1 - 2)*1*-41 is divided by v?
13
Suppose 0*a - r - 76 = -4*a, 5*r + 20 = 0. Let g(w) = w**2 - 9*w + 17. Calculate the remainder when g(13) is divided by a.
15
Let k(a) = a**2 - 8*a + 9. Let l be k(7). Let h = 11 - l. What is the remainder when h is divided by 3?
0
Suppose a - 153 = -8*a. Calculate the remainder when 33 is divided by a.
16
What is the remainder when (-2)/(-8) + (-1561)/(-28) is divided by 12?
8
Let h(j) be the third derivative of j**4/12 + j**3/6 - j**2. Suppose -4*k + 7*k - 9 = 0. Calculate the remainder when h(3) is divided by k.
1
Let g(l) = -4*l - 12. Let f(r) = r**2 + r + 4. What is the remainder when g(-10) is divided by f(-3)?
8
Let z(t) = -t**3 + 2*t**2 - 3*t - 3. Suppose 0 = -2*w + 28 - 2. Calculate the remainder when z(-3) is divided by w.
12
Let c be (-2 - -2)/(1 - 2). Suppose r + 3 - 22 = c. Calculate the remainder when r is divided by 7.
5
Let q = -16 + 28. What is the remainder when 23 is divided by q?
11
Let m(j) = 0*j**3 - 2 - j**3 + j + 6*j**2 + 2*j**3 - 3. Calculate the remainder when 88 is divided by m(-5).
13
Let t be ((-55)/(-33))/(2/(-12)). What is the remainder when 121 is divided by (-312)/t - 7/35?
28
Let s(i) = i - 1. Let o be s(4). Let z(f) = -2*f + 0*f**3 - 2*f**2 + 4 + 0*f + 2*f**3. What is the remainder when z(o) is divided by 12?
10
Suppose 2*x - 3*u + 24 = 2*u, -3*u + 2 = 5*x. Let i(c) = c**2 + 4*c - 1. Let z be i(-4). What is the remainder when 38 is divided by 15 + x + (z - -1)?
12
Let m(r) = -r**2 - 4*r - 2. Let i be m(-4). Suppose -3 = -2*j + 1. Calculate the remainder when (-7 - -6)/(i/10) is divided by j.
1
Let u = 5 - -13. What is the remainder when 52 is divided by 12/u*54/4?
7
Let b(p) = p**2 - 5. Suppose -28 = 11*v - 15*v. What is the remainder when b(4) is divided by v?
4
Calculate the remainder when 23 is divided by -1 + 9 - 1*-4.
11
Suppose -3 = a + 67. Let f = 125 + a. Suppose -85 - f = -5*m. Calculate the remainder when m is divided by 10.
8
Let s = 14 - 4. Calculate the remainder when s is divided by 6.
4
Suppose -2*j - 5*k + 5 = 0, -3*j + 2*j + 2*k = 20. Let n(i) = -i**3 + 1 + 9*i + 1 - 9*i**2 - 4. What is the remainder when 23 is divided by n(j)?
7
Suppose 26 + 7 = 3*w. Let y = w + -4. Suppose 4*f - 20 = 84. Calculate the remainder when f is divided by y.
5
Suppose -334 = -4*z + 282. Suppose 3*t = -0*r - 4*r + 158, -z = -4*r - t. Let a = -25 + r. Calculate the remainder when 36 is divided by a.
10
Suppose -71 = -7*s - 15. What is the remainder when s is divided by 3/9 + 8/3?
2
Let p(i) = 21*i**3 - 2*i**2 + 3*i - 1. Calculate the remainder when p(1) is divided by 8.
5
Let r(w) = w**2 + w + 4. What is the remainder when 174/10 + 4/(-10) is divided by r(-2)?
5
Let i = 9 + -5. Suppose -2 - 10 = -i*x, -2*q - x = -55. Suppose -4*s - h + 51 = -0*h, 0 = 3*s + 5*h - 17. Calculate the remainder when q is divided by s.
12
Calculate the remainder when 96 is divided by (10 + -12)*25/(-2).
21
Let q = -18 + 31. Calculate the remainder when 114 is divided by q.
10
Let b(v) = v**3 - 15*v**2 + 18*v - 10. What is the remainder when b(14) is divided by 10?
6
Suppose -3*y + 90 = 3*y. What is the remainder when 22 is divided by y?
7
What is the remainder when 14 is divided by ((-4)/4)/((-1)/12)?
2
Let n(b) = b**2 - 4*b - 2. Let x(l) = -l**3 + 5*l**2 + 5*l. Let w be x(6). What is the remainder when (w/9)/((-4)/330) is divided by n(7)?
17
Suppose -6*n + 0*n = -1008. What is the remainder when n is divided by 43?
39
Suppose 5*a = 3*a + 8. Suppose -a*o + 17 + 7 = 0. What is the remainder when o is divided by 4?
2
What is the remainder when (-2)/(-1)*81/6 - 0 is divided by 10?
7
Let q = -29 - -40. What is the remainder when 42 is divided by q?
9
Let p = -58 - -81. Let m = 91 - 79. Calculate the remainder when p is divided by m.
11
Suppose 0 = 5*j + 10 - 25. Suppose 0 = -3*o - 2*l + 28, 5*o - 62 = -j*l - 17. Calculate the remainder when (-1 - 0/2) + 12 is divided by o.
5
Let d(q) = -q - 2. Let l be d(-3). Suppose -5*j = 4*c - 4 - 17, -2*c = -3*j - 5. Calculate the remainder when (2/6)/(l/33) is divided by c.
3
Let s = 27 + 10. Let k(b) = 4*b**2 + 3*b - 3. What is the remainder when s is divided by k(2)?
18
Suppose -3*a + 3 + 0 = 0. Let k(z) = -z**3 + 7*z**2 + 3. What is the remainder when k(7) is divided by a?
0
Let d = -31 - -68. Let b = -43 + 56. What is the remainder when d is divided by b?
11
What is the remainder when ((4 - 5) + -56)/((-2)/2) is divided by 15?
12
Suppose 9*v = 11*v - 26. Calculate the remainder when 62 is divided by v.
10
Suppose 5*y + 0*y = -4*w + 8, 4*w = -3*y. What is the remainder when 10 is divided by y?
2
Let b = -25 - -51. Suppose 5*g = -2*h - 0*g + b, 0 = -h + g + 13. What is the remainder when h is divided by 5?
3
Let x = 6 - 4. Let s be (-48)/(-30) - x/(-5). Suppose 3*f - 66 = 2*w, 8*f - 3*f - 126 = -s*w. Calculate the remainder when 46 is divided by f.
22
Let q(s) = s**3 + s**2 + s + 33. Let n be q(0). Let v = n - 17. Let g(c) = 4*c**2 - 3*c + 4. What is the remainder when g(3) is divided by v?
15
Let p(w) = w**3 - 8*w**2 - 8*w - 1. What is the remainder when 28 is divided by p(9)?
4
What is the remainder when 33/2*(5 - 26/6) is divided by 7?
4
Suppose -47 = -i - 2*k, 3*i = 2*k - 30 + 139. What is the remainder when i is divided by 21?
18
Suppose 4*x = x + 165. Suppose -2*s + 7*s = x. Calculate the remainder when 20 is divided by s.
9
Let o = -6 + 11. What is the remainder when ((-2)/4)/(2/(-56)) is divided by o?
4
Let i(l) = -2 - l + 4*l - 4*l. Let a be i(0). What is the remainder when 8 is divided by 2/(-3)*9/a?
2
Let n(r) = -2*r**2 - 18*r + 12. Calculate the remainder when 110 is divided by n(-8).
26
Suppose 2*x - 20 = -2*x. What is the remainder when (-2)/9 - (-238)/18 is divided by x?
3
Suppose c = 28 - 8. Suppose 4 = -g + c. What is the remainder when g is divided by 9?
7
Let s = 35 - 20. Calculate the remainder when (2 - (5 + 0)) + s is divided by ((-2)/(-2))/(1/7).
5
What is the remainder when 6*((-4)/8 - -3) is divided by 9?
6
Suppose -2*m + 12 = m. Let t = -18 + 11. Let y = t - -14. What is the remainder when y is divided by m?
3
Let i(m) be the third derivative of -m**6/120 - m**5/15 + m**4/24 + 2*m**2. What is the remainder when i(-5) is divided by 11?
9
Suppose 0 = -5*t + 5*s + 35, 2*t = -s - 2 + 1. Let j(i) = -i + 3. Let h be j(0). What is the remainder when 26 is divided by ((0 - t) + 5)*h?
8
Suppose 2*g - 5*g = -120. Suppose 0*s - 6 = -3*s, 2*l = s + g. What is the remainder when l is divided by 6?
3
Let h(b) = -b + 3. Calculate the remainder when 49 is divided by h(-10).
10
Suppose -204 = -3*w - 0*w. Calculate the remainder when w is divided by 14.
12
Let a(x) = x**2 - 4*x + 3. Let c = 58 + -32. What is the remainder when (c - (4 + -2)) + -2 is divided by a(5)?
6
Let q = 13 - -4. Suppose -d = -q + 5. Calculate the remainder when (2/1)/2 + d is divided by 7.
6
Suppose 2*w = 3*w - 44. Calculate the remainder when w is divided by 16.
12
Let l(q) = 7*q + 5. What is the remainder when l(3) is divided by 6?
2
Let l(h) = -8*h - 28. Calculate the remainder when l(-6) is divided by 7.
6
Calculate the remainder when ((-65)/20)/(1/(-4)) is divided by 5.
3
Let l(x) = -x**2 + 15*x + 13. What is the remainder when 78 is divided by l(14)?
24
Suppose 0 = -5*n + 17 - 7. Suppose q + c = 15, 5*q = 4*c + n + 37. What is the remainder when 31 is divided by q?
9
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