 0*q + 241 = 5*q + l, 5*q + 4*l = 229. Calculate the remainder when q is divided by 27.
22
Let s(l) = -19*l - 9. Let w be s(-4). Suppose 5*a = 3*b + 140, -w - 77 = -4*a - 4*b. What is the remainder when 90 is divided by a?
28
Let q = 11 + 29. Calculate the remainder when q is divided by 21.
19
Let m(i) = 6*i - 4. Let c be m(3). Suppose 1 + c = 3*v. What is the remainder when 14 is divided by v?
4
Let g(m) = -2*m + 2*m - 1 + 5*m**2 - 3*m**2 + 3*m. Calculate the remainder when g(-4) is divided by 5.
4
Let o = 62 + -54. Calculate the remainder when (-114)/(-9) + (-1)/(-3) is divided by o.
5
Suppose b - 15 = 2*l, 3*b - b - l = 18. Suppose -2*a - 23 = -2*v + b*v, 4*v = 2*a - 22. Let z(o) = 3*o + 1. What is the remainder when z(a) is divided by 3?
1
Let z(r) = 2*r**2 + 3*r - 6. Let x = 8 - 13. Let y = -30 + 45. Calculate the remainder when z(x) is divided by y.
14
Let t = -40 - -63. Calculate the remainder when t is divided by 4.
3
Let i = 43 + 21. What is the remainder when i is divided by 23?
18
Suppose -4 = 2*g + 2*a, -14 = -0*g - 3*g + a. Suppose -g*i + 8*i - 70 = 0. What is the remainder when 26 is divided by i?
12
Let l(x) = x + 6. Suppose 0 = -p + 2 + 3. What is the remainder when 42 is divided by l(p)?
9
Suppose 13 = 2*h - 3*u, 3*u = -6*h + h + 22. Suppose n + 31 = 3*c + c, 4*c - 37 = -h*n. Calculate the remainder when 14 is divided by c.
6
Suppose -6*v + 419 + 379 = 0. What is the remainder when v is divided by 34?
31
Let q = 11 + 11. Let a = -19 - -27. Calculate the remainder when q is divided by -1*(-2 - -1)*a.
6
Suppose -2*b - 476 + 100 = 0. What is the remainder when 2/3 + b/(-6) is divided by 17?
15
Let b = -15 - -19. Suppose s + b*t = 3, 2*t = 3*s - 113 + 48. What is the remainder when s is divided by 10?
9
Let h(l) = -l**2 - 10*l - 9. Let g = 15 - -16. What is the remainder when g is divided by h(-5)?
15
Calculate the remainder when (-4)/(-10) + (-266)/(-10) is divided by 7.
6
Suppose -29 + 15 = -2*c. What is the remainder when 20 is divided by c?
6
Suppose 12 = 5*y - y. Suppose 0 = 5*i + 5*o - 20, y*o - 4 = -2*i + 2. Suppose 0 = 4*m - i - 62. What is the remainder when m is divided by 9?
8
Let k(l) = l**3 + 9*l**2 + 8*l + 8. Calculate the remainder when (-4)/(-6) + (-134)/(-6) is divided by k(-8).
7
Suppose -5*l + 20 = -5*m, 2*l = -3*l + 20. What is the remainder when 36 is divided by (-26)/4*(-2 + m)?
10
Suppose 0 = -0*b + 3*b - 39. What is the remainder when 23 is divided by b?
10
Let g(s) = 8*s + 12. Let b be g(7). Suppose -6*d + 2*d = -b. Calculate the remainder when 31 is divided by d.
14
Suppose 5*v - 10 = -4*t, 7*v - 3*v - 8 = 5*t. Let y be (-1)/3*t + 6. What is the remainder when -1*y*(-18)/4 is divided by 14?
13
Suppose -54 = -5*k + 2*a - 6, a - 20 = -3*k. Let b be 4/(-3)*(-18)/4. What is the remainder when -3 - (4 - 6*b) is divided by k?
5
Let q be (-1 + 29)*(-3)/(-3). Suppose t + 18 = w, -2*t + q = w + w. Calculate the remainder when 47 is divided by w.
15
Suppose -8 = 4*v, -3*v = -3*x - 5*v + 8. Suppose 3*h = x*h - 3*i - 8, 0 = 3*h - 2*i - 38. What is the remainder when 41 is divided by h?
13
Let a(i) = i**2 - 4*i + 3. Let g be (-1)/(-3)*(-21)/(-1). Let z be a(g). Suppose 5*c - z = 61. What is the remainder when 33 is divided by c?
16
Suppose -s - 1 = -3. Suppose -s*w - 3*v = 2*w, 12 = -3*v. Calculate the remainder when 7 is divided by w.
1
Let b(o) = 2*o**3 + o**2 + o - 1. What is the remainder when (-4)/6*(-1 + -14) is divided by b(1)?
1
Suppose 0*i = -4*i - 40. Let c = i + 43. Calculate the remainder when c is divided by 17.
16
Suppose -4*w = 5*m + 156, -3*m = -3*w - 0*w - 117. Let o = -23 - w. What is the remainder when o is divided by 5?
1
Calculate the remainder when 66/(-1 - -4 - 1) is divided by 18.
15
Let f = -389 + 33. What is the remainder when 59 is divided by f/(-18) - (-8)/36?
19
Suppose -4*v + 283 = 5*l, 0*v - 2*l + 140 = 2*v. What is the remainder when v is divided by 23?
21
Calculate the remainder when 61 is divided by (-4)/((10/(-8))/5).
13
Let r(q) = 10*q + 8. Let k be r(-4). What is the remainder when 23 is divided by (6*k/(-12))/2?
7
Let o(q) = q**3 - 6*q**2 - 5*q - 3. What is the remainder when 52 is divided by o(7)?
8
Let s(j) = -4*j - 5. Suppose 12 = -3*i - 3. What is the remainder when 29 is divided by s(i)?
14
Suppose 2*z = -0*z - 40. Let x = z + 28. Calculate the remainder when 29 is divided by x.
5
Suppose -3*d - 4*f = 60, d + f + 20 = -f. Let g = -11 - d. Calculate the remainder when 34 is divided by g.
7
Let o(h) = -h**3 - 3*h**2 + 3*h + 3. Let j be o(-3). Let b be j/9 + (-256)/(-6). Let x = b - 11. What is the remainder when x is divided by 11?
9
Let v(s) = -s**3 - s**2 + 77. Calculate the remainder when v(0) is divided by 13.
12
Suppose -s = -3*v - 5, -2*v + v - s - 3 = 0. Let o = 7 + v. Suppose -3 = -2*k + o. What is the remainder when k is divided by 2?
0
Suppose -a - 70 = -3*a. Let q = 3 + 0. Suppose q*l + l = 36. Calculate the remainder when a is divided by l.
8
Let h be 26/7 - 6/(-21). Suppose 3*q - b = 46, 0 = -0*q - 2*q - h*b + 26. Calculate the remainder when q is divided by 8.
7
Let s = -9 - -72. What is the remainder when 187 is divided by s?
61
Suppose -3*n - y = 1, -4*y + 9*y - 6 = -4*n. Let i be (-3)/(-9)*3 + n. Let u(j) = j**2 + j + 4. What is the remainder when 10 is divided by u(i)?
2
Suppose -4*n + 136 + 136 = 0. Calculate the remainder when n is divided by 19.
11
Let b be (3 + (-81)/12)*4. Let i = -9 - b. What is the remainder when 6 is divided by (-4)/(-6) - (-20)/i?
2
Let i(k) = -k**3 + 8*k**2 - 7*k + 11. What is the remainder when 28 is divided by i(7)?
6
Let x(q) be the third derivative of q**4/24 + 19*q**3/6 - 3*q**2. Calculate the remainder when 21 is divided by x(-11).
5
Suppose 10 = 6*t - 4*t. Let v be (0 + -11)*1*-3. Suppose t*f + 3 = v. Calculate the remainder when 17 is divided by f.
5
Let l = -15 + 31. Suppose -3*q = 3*o - 0*q - 27, 0 = -o - 4*q + 18. What is the remainder when l is divided by o?
4
Let i(a) = 2*a**2 + 7*a - 11. Let k(m) = m**3 + 3*m**2 + m - 1. Let p be k(-2). Suppose 16 - p = 3*v. What is the remainder when i(-6) is divided by v?
4
Let w(f) = f**3 - 2*f**2 - f - 6. What is the remainder when 43 is divided by w(4)?
21
Let g(d) = 4 + 0*d - 3*d + d. Calculate the remainder when g(-5) is divided by 8.
6
Let b(u) = u**2 - 2*u - 10. Let k be b(7). Suppose 3*o - k = 2*o. Calculate the remainder when o is divided by 13.
12
Suppose 0 = 3*r + 4*q - 20, -r - 3*r = 3*q - 29. Calculate the remainder when 30 is divided by r.
6
Suppose 2*d - 7*d + w = -99, 84 = 4*d - 2*w. What is the remainder when 93 is divided by d?
17
Let w = 20 - 12. Suppose -40 = -w*h + 3*h. What is the remainder when h is divided by 5?
3
Calculate the remainder when 2300/23 - (1 + 3) is divided by 34.
28
Let j = 1 - -32. Suppose -3*l = -j + 9. What is the remainder when 14 is divided by l?
6
Suppose -f - 5*j = 15, 3*f - 7 = -3*j + j. Suppose -57 + 9 = -3*d. Suppose -4*g + 16 = -d. What is the remainder when g is divided by f?
3
Suppose 5*s + 22 + 43 = 5*x, 3*x + 5*s = 7. Calculate the remainder when 52 is divided by x.
7
Suppose -2*j - 5 = f - 20, 4*j + 3*f = 25. Suppose 4*g + 25 = 181. What is the remainder when g is divided by j?
9
Let h(r) = 10*r - 4. Let s be h(4). Suppose s + 100 = 4*a. Suppose -2*p + 2*b = p - 40, p = 4*b + 20. Calculate the remainder when a is divided by p.
10
Let r = 39 + 14. Suppose 0 = 6*s - 5*s - r. Calculate the remainder when s is divided by 11.
9
Suppose -8*i = -16*i + 312. Calculate the remainder when 116 is divided by i.
38
Let d(o) = 4*o + 6. Suppose 3*n - 2 = -4*m, -n = -3*m - 3 - 2. Let k = 13 - m. Calculate the remainder when d(5) is divided by k.
12
Suppose -3*d - 1 = -d - 5*s, 3*s + 3 = 3*d. Let q = d + 8. Calculate the remainder when q is divided by 6.
4
Let s be 0 + 2 - (-3 + 5). Suppose -2*k + k + 34 = s. Calculate the remainder when k is divided by 18.
16
Let g(z) = 11*z + 6. Let t(h) = 11*h + 5. Let q(v) = -v**3 + 2. Let y be q(2). Let n(s) = y*g(s) + 7*t(s). What is the remainder when 18 is divided by n(1)?
8
Suppose -5*f + 8 = 4*x, 3*f + 0 + 6 = 3*x. Suppose 4*d + 4*k = f, -6*k = -3*d - 3*k - 24. Let n = 15 + d. What is the remainder when 21 is divided by n?
10
Suppose -j = 6*j - 56. What is the remainder when 37 is divided by j?
5
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