 + 3, 3*z + y = -3*y + 175. Suppose 31 = -5*i - 4. Let q = i - -22. Calculate the remainder when z is divided by q.
12
Suppose -n + 18 - 3 = 3*w, 4*n + 8 = 5*w. What is the remainder when n is divided by 3?
0
What is the remainder when 8 is divided by (-7 - (-4)/2)/(-1)?
3
Let v be ((-6)/(-9))/(4/(-6)). Calculate the remainder when 73 is divided by v/4 + (-505)/(-20).
23
Suppose 5*q + 18 = 78. Suppose -q = -2*c + c. Suppose 5*m - m = c. What is the remainder when 4 is divided by m?
1
Let q = 56 - -20. What is the remainder when q is divided by 16?
12
Let g(a) be the second derivative of a**5/20 + 11*a**4/12 + 4*a**3/3 + 5*a**2/2 - 5*a. Calculate the remainder when 48 is divided by g(-10).
23
Suppose -3 = 3*y - 2*s + 2, 5*y - 2*s = -7. Calculate the remainder when 14 + -1 + 2/1 is divided by (y + 1)*1 + 8.
7
Suppose -b = 3*z - 55, -88 = -4*z - 5*b - 0*b. What is the remainder when z is divided by 10?
7
Suppose -1 + 4 = p. Let c = p + 25. What is the remainder when c is divided by 10 + (4 - 4) + 5/1?
13
Suppose -4*s + 106 = -2*s. What is the remainder when s is divided by 27?
26
Let f(b) = -35*b + 2. Let c be f(2). What is the remainder when (5 + -2)/((-6)/c) is divided by 12?
10
Let w(o) = -2*o**2 - 7*o - 3. Let g(d) = -5*d**2 - 20*d - 8. Let v(s) = 3*g(s) - 8*w(s). Calculate the remainder when 13 is divided by v(5).
3
Let q(a) = a**2 - 1. Let u(i) = i**2 - 16*i + 84. Calculate the remainder when u(5) is divided by q(-4).
14
Let d(i) = i**2 - i + 17. Calculate the remainder when 218 is divided by d(0).
14
Let f(a) = 4*a - 1. Let k be f(1). Suppose 2*i - 88 = -8. Suppose -4*x = 2*s - i, -2*s - k*s = -2*x - 100. What is the remainder when s is divided by 11?
9
Let d(h) = 11*h**2 - 1. Suppose -v - 2 - 4 = -4*a, 5*v = -a - 9. Calculate the remainder when 28 is divided by d(a).
8
Let o = 20 - 7. Suppose -g + 5 = -2*t, 2*t + 0*g = -3*g + 15. What is the remainder when 1 + t - -1 - -23 is divided by o?
12
Suppose -4*z + 39 + 5 = -2*f, -z = 4*f - 29. What is the remainder when 25 is divided by z?
12
Let h(n) = 4*n + 8*n**2 - 4*n + 1 + 2*n. Let j be h(-1). Suppose -a + j - 1 = 0. What is the remainder when 11 is divided by a?
5
Suppose 3*n + 26 = 5*y, 0*y = -2*n - 2*y + 4. Let f = n - -3. Calculate the remainder when f is divided by 1.
0
Suppose 0 = 5*o - 4*z + 23, -4*o - 4*z - 4 = -0*o. Let w = o - -18. What is the remainder when 43 is divided by w?
13
Suppose 3*a - a = 30. Calculate the remainder when a is divided by 9.
6
Let p = 11 + -8. Suppose p*l - 21 + 172 = 4*t, 0 = -4*t + 4*l + 152. Calculate the remainder when t is divided by 13.
11
Let u(l) = 3*l**2 - 3*l. Let k be u(2). Let x(w) = 0 - w + k*w + 2. What is the remainder when 43 is divided by x(4)?
21
Let j be (7 - 6)/((-1)/(-6)). Suppose -y + 17 = -63. Calculate the remainder when 39 is divided by (y/j)/4*6.
19
Suppose 2*v - 3*v = -4*k + 5, 0 = 3*k. Let j = v + 46. Let h = j - 24. What is the remainder when h is divided by 6?
5
Let k(n) = 40*n**2 + 2*n - 1. What is the remainder when k(1) is divided by 14?
13
Let y = -115 - -124. Calculate the remainder when 33 is divided by y.
6
Let n(l) = 4*l**2 + 4*l - 1. What is the remainder when n(-3) is divided by 4?
3
Suppose -3*j + j = -238. Calculate the remainder when j is divided by 24.
23
Suppose 0 = g - 5*g - l + 133, 5*g - l - 164 = 0. Let h be 1/(-5) - g/(-15). Let q(y) = 8*y**2 + y. Calculate the remainder when q(h) is divided by 12.
10
Suppose 0 = -5*c + 5*g - 3*g + 72, 2*c = 4*g + 16. Calculate the remainder when c is divided by 9.
7
Calculate the remainder when (5 - -1) + -4 + 4 is divided by 2.
0
Let f = 11 + -11. Suppose -2*x + 2*p + 16 = f, 3*p - 38 = -5*x + 18. Let q = 11 - x. Calculate the remainder when 2 is divided by q.
0
Let g = -175 + 188. Calculate the remainder when 73 is divided by g.
8
Let k be (-664)/(-56) - (-1)/7. Let h = 9 + k. Calculate the remainder when 102 is divided by h.
18
Let y = -11 + 27. Suppose 0*o = 3*x + o - 25, x - 5*o - 19 = 0. What is the remainder when y is divided by x?
7
Suppose 0 = 5*w - 3*d - 45, d = -4*w - 2*d + 9. Let j be w/(-4)*(-3 - -5). What is the remainder when 210/8 + j/12 is divided by 9?
8
Suppose 0 = 5*l - 3*l - 14. What is the remainder when 19 is divided by l?
5
Suppose o - 149 - 8 = -4*k, -147 = -4*k + o. Suppose -p + 4 = 0, 3*p - 29 = -g - p. What is the remainder when k is divided by g?
12
Let f(w) = 185*w**2 + 2*w - 1. Let c be f(1). Suppose 5*m - s - 310 = 0, 5*m + s - 506 = -c. Let q = -34 + m. Calculate the remainder when q is divided by 10.
9
Let b(m) = m**2 + 6*m - 12. Calculate the remainder when b(-10) is divided by 3*(-2 - 32/(-6)).
8
Let b(u) = u**2 - 11*u + 16. What is the remainder when b(11) is divided by 6?
4
Let k be -3 + 2 - 2*2. Let b = k - -26. Suppose -m + b = -0. Calculate the remainder when m is divided by 11.
10
Let x(m) = 6*m + 1. Let w = -2 - -4. What is the remainder when x(1) is divided by w?
1
Let k(g) = 2*g**2 + 9*g + 4. Calculate the remainder when k(-6) is divided by (-18)/(-7)*(-42)/(-9).
10
Suppose -i + 42 = -3*y, -2*i - 6*y + 139 = -y. Calculate the remainder when i is divided by (-30870)/(-1050) + (-6)/(-10) + -1.
28
Let i = 3 + -1. Suppose 0 = -0*x + i*x + 3*m - 26, -5*x - 3*m + 74 = 0. Suppose -13*g = -11*g - 92. Calculate the remainder when g is divided by x.
14
Suppose 2*x - 4*x = -26. Suppose -5 = 2*w - 3*v - 21, -2*w = 2*v - 6. What is the remainder when x is divided by w?
3
Suppose 5*r + 0*r - 4*v - 120 = 0, -2*r + 2*v = -50. Let p = r + -7. What is the remainder when 23 is divided by p?
10
Let b = -13 - -82. Suppose 3*o - b = -174. Calculate the remainder when (8/10)/((-2)/o) is divided by 5.
4
Let x(k) = -k**2 + 13*k + 12. Calculate the remainder when x(13) is divided by 3.
0
Let d = -2 - -5. Suppose -2*m + 3*n - 6*n = -d, 5 = 3*m + 4*n. Suppose 4*f = 4*l - 56, -2*l + 30 = l + m*f. Calculate the remainder when l is divided by 7.
5
Let t(k) = k**3 + 7*k**2 - 7*k + 18. Calculate the remainder when 48 is divided by t(-8).
8
Suppose -4*b + 62 = w, -5*b - 5 = 4*w - 77. Let r(q) = 15*q + 1. Let j(g) = 7*g. Let t(y) = 7*j(y) - 3*r(y). Calculate the remainder when b is divided by t(3).
7
Suppose k = 18 - 3. Calculate the remainder when 57 is divided by k.
12
Let d(k) = -k**3 - 9*k**2 - 4*k - 13. Calculate the remainder when 39 is divided by d(-9).
16
Let u(j) = j**2 - j - 13. What is the remainder when u(-6) is divided by 8?
5
Suppose 0 = -3*r - 3*b + 18, -5*b = 4*r - 0*b - 27. Calculate the remainder when 29 is divided by 45*(0 + 1/r).
14
Suppose -1 = l - 12. Let u be -1 + (0 + 1)/1. Suppose 5*g - g - 124 = u. Calculate the remainder when g is divided by l.
9
Let l be 6*(-9)/12*2. Let n be (-1 - -3)/(-2) - -4. Let w = n - l. Calculate the remainder when 34 is divided by w.
10
Let z be (-376)/56 - (-2)/(-7). Let o(d) = d**2 + d + 5. Calculate the remainder when -2 - z - 3 - -5 is divided by o(0).
2
Let g(m) = 12*m - 4. Let y be g(3). Let u = y + -17. What is the remainder when u is divided by 6?
3
Let c = 57 - 41. Let d(n) = n**2 - n - 10. What is the remainder when d(8) is divided by c?
14
Suppose 0 = 10*k - 4*k - 6. Let f = -3 - -6. Calculate the remainder when f is divided by k.
0
Let a = 32 + -13. Let r = 40 - a. Let g = 42 - 30. Calculate the remainder when r is divided by g.
9
Let x be (1 + 14/(-10))*-5. Suppose 3*i + 5 = -5*c, -5*i + x + 2 = -4*c. Suppose i = -0*o + 5*o - 30. What is the remainder when 11 is divided by o?
5
Let t(i) = -i + 2. Suppose -2*f + 4*f - 32 = 0. Let w = f + -9. What is the remainder when t(-11) is divided by w?
6
Suppose j - 5*j = -5*d - 37, 3*d + 6 = -3*j. Suppose 2*m + 16 = 2*f - 6, -3*m = 3*f - j. Calculate the remainder when f is divided by 4.
2
Suppose -2*f - 3*n + 3 = 4, 4*f + 4*n - 4 = 0. Suppose -2*i = -f*i + 28. What is the remainder when 40 is divided by i?
12
Let z(d) = -2*d - 5. Suppose 0 = -a - 11. Suppose 4*m = -4*l + 280, 3*m - 345 = -2*m - 4*l. Calculate the remainder when m is divided by z(a).
14
Suppose 4*b - 67 = -7. Suppose 5*c = -b + 85. What is the remainder when c is divided by 8?
6
Suppose 2*a = -a + 168. What is the remainder when a is divided by 19?
18
Suppose t = 3*l - 10, 2*l = -t + 3*l - 2. Suppose -t*d - 3 = -2*p + 17, 4*p + 5*d - 40 = 0. Let b = -8 + p. What is the remainder when 6 