12. Let h be 5 - ((4 - 2) + -1). Suppose 0*s - 40 = -h*c + s, 5*c - 75 = -5*s. Calculate the remainder when p is divided by c.
10
Let z(n) = n**3 - 4*n - 9. What is the remainder when z(5) is divided by 33?
30
Suppose 2*n + 2*b = -0*b + 4, -3*b - 22 = -n. Suppose -2*s = -n*s + 10. What is the remainder when 6 is divided by s?
0
Let k(a) = a**2 + 15*a + 11. Calculate the remainder when 20 is divided by k(-15).
9
Let g = 311 - 215. Suppose 3*j + 3*n = 45, 2*j - 2*n - g = -3*j. Calculate the remainder when j is divided by 11.
7
Suppose i - 127 = -5*w, -47 = -5*w + 2*i + 74. What is the remainder when 97 is divided by w?
22
Suppose 2*l - 36 = -l. Let g(z) = -z + 34. What is the remainder when g(0) is divided by l?
10
Let r = 2 - 2. Suppose 0 = -r*o - 3*o + 12. What is the remainder when (-1)/((-10)/(-11) - 1) is divided by o?
3
Let g(s) be the third derivative of -s**4/24 + 5*s**3/6 - 2*s**2. What is the remainder when 20 is divided by g(-3)?
4
Let o(c) be the first derivative of -c**2 + c - 5. Calculate the remainder when 25 is divided by o(-6).
12
Suppose -3 = -3*p + 9. Suppose -o + 10 = -2*v + 1, 5*v - 9 = -o. Calculate the remainder when o is divided by p.
1
Let o(y) = -y + 52. Calculate the remainder when o(0) is divided by 14.
10
Let g(m) = 5*m**2 + 16*m + 1. Let i(s) = -2*s**2 - 8*s - 1. Let y(w) = -3*g(w) - 7*i(w). What is the remainder when y(8) is divided by 2?
0
Let y be (-5)/10 + (-7)/(-2). Suppose -y*q - 13 - 1 = -2*s, 4*q = 3*s - 22. Suppose 0 = -5*v + 96 + 49. What is the remainder when v is divided by s?
9
Let y = 10 + -7. Suppose -3*l = y*n - 66, -5*n + l = -0*l - 128. Suppose -2*c = -d - 7*c + 29, 0 = -5*d + c + 41. What is the remainder when n is divided by d?
7
Let r(i) = i + 14. Calculate the remainder when 15 is divided by r(-10).
3
Let k = 1 - 4. What is the remainder when (-23)/k - (-8)/(-12) is divided by 5?
2
Let t(u) = u**3 - 5*u**2 + 17*u - 16. What is the remainder when t(5) is divided by 12?
9
Let h(f) = f**3 + 7*f**2 - f + 2. Calculate the remainder when 24 is divided by h(-7).
6
Let o(i) = 2*i - 1. Let r be o(3). Suppose 4*a = -r*t + 2*a + 170, 5*t - 2*a - 150 = 0. What is the remainder when t is divided by 17?
15
Let r be (-6)/(-4)*(-10)/(-3). Suppose -11 = r*k + 9. Let l(j) = -2*j - 5. Calculate the remainder when 7 is divided by l(k).
1
What is the remainder when (-2)/9 + 60/27 is divided by 2/(-4) - 10/(-4)?
0
Suppose -k + 17 = 4*f, -3*k - 2 = -k - f. What is the remainder when (-2)/4*(k + -27) is divided by ((-4)/(-6))/((-2)/(-15))?
3
Let s(n) = -n**3 - 9*n**2 - 2*n + 7. Let o(y) = -y**3 - 6*y**2 - 2*y + 1. Let r = -15 + 9. Calculate the remainder when s(-9) is divided by o(r).
12
Let v = 55 - 28. Let o = -75 - -90. What is the remainder when v + 0 - (-1 + 1) is divided by o?
12
Let h = 17 + 9. Suppose -3*m - 3*j + 72 = 0, -2*m = 3*j - 5*j - 48. Let g = -10 + m. Calculate the remainder when h is divided by g.
12
Let u(b) = 4*b**3 - 2*b**2 + 3*b - 1. What is the remainder when u(2) is divided by 6?
5
Let n = -36 + 14. Let k = n - -39. Calculate the remainder when ((-5)/10)/((-1)/66) is divided by k.
16
Let s = -26 - -73. Calculate the remainder when s is divided by 4.
3
Suppose -2*g - 4 - 1 = 3*y, 2*g = 3*y + 13. Let u = 2 + -1. Let v(c) = 2*c**3 - c. What is the remainder when g is divided by v(u)?
0
Suppose 0 = -0*d - 2*d + 4. Suppose -d*a = -a - 6. Calculate the remainder when 17 is divided by a.
5
Let t(z) = z**3 + 9*z**2 + 7*z - 7. Let i be (3 - 12) + -1 + 2. Suppose 5*j - 8 + 3 = 0. Calculate the remainder when t(i) is divided by j.
0
Calculate the remainder when 1691/133 - (18/(-14) - -1) is divided by 8.
5
Let z(f) = -f**2 - 8*f + 10. Let k = 4 - 11. What is the remainder when 49 is divided by z(k)?
15
Suppose -4*f + 0*s + 3*s + 5 = 0, -f - 2*s + 4 = 0. Suppose 2*n = -f*n - 12. Let c(k) = -k**2 - 4*k + 1. Calculate the remainder when c(n) is divided by 3.
1
What is the remainder when 2 + -4 + 0 + (-2 - -33) is divided by 8?
5
Suppose -2*g - 2 = -3*z + 2, 2*g + 4 = -3*z. Suppose 70 = 2*l + 2*l - 2*k, -2*l - k + 41 = z. Calculate the remainder when l is divided by 5.
4
Let b(f) = f**2 - 9*f - 3. Let m be b(9). Let r(i) = 2*i**2 - 5*i - 4. Let t be r(4). Let q = t + m. Calculate the remainder when 18 is divided by q.
3
Let s = -67 - -209. Calculate the remainder when s is divided by 36.
34
Let s(d) = -4*d - 3. Let k be 174/10 + 2/(-5). What is the remainder when (-1)/(-2) - k/(-2) is divided by s(-2)?
4
Suppose q = -j + 7, 0 = -6*q + q + 4*j - 10. Suppose 0*l = -q*l + 34. Suppose -4 = -k + 2. Calculate the remainder when l is divided by k.
5
Let d = 11 + -7. Suppose -2*n = -3*n + d. Suppose 5*g - 38 = -s, 0*s = n*g - 2*s - 36. What is the remainder when 22 is divided by g?
6
Let t(y) = y**2 + y - 9. What is the remainder when t(-7) is divided by 1 + 14 + 1 + 1?
16
Suppose 0 = -3*n + 30 + 36. Suppose -5*h = -5*f - 315, 5*h - 4*f - 403 + 87 = 0. Calculate the remainder when h is divided by n.
20
Suppose -4*m + 4*n + 132 = 0, 2 = -5*n + 12. Calculate the remainder when m is divided by 13.
9
Let p(q) = 28*q**2 + 2*q - 1. Let y(v) = -v**3 - 3*v**2 - 4*v - 3. Suppose 0*l - 4 = 2*l. Let x be y(l). Calculate the remainder when p(x) is divided by 10.
9
Let x = 49 + -36. What is the remainder when x is divided by 2?
1
Suppose -2*s - 9 = 1, -5*i + 10 = -5*s. Let u = 6 + i. Suppose -b + u*b = 74. What is the remainder when b is divided by 13?
11
Let b(n) = -n**2 + 6*n - 5. Let y be b(5). Suppose -2*q + 0*q + 48 = y. Let c = -17 + q. Calculate the remainder when 13 is divided by c.
6
Suppose -39 - 26 = -5*i. What is the remainder when 38 is divided by i?
12
Let l(d) = -d**3 + 8*d**2 - 8*d - 6. Suppose -2*n = -n - 10. Calculate the remainder when l(6) is divided by n.
8
Let z = -71 - -112. Let v(b) = 2*b + 2. Let y be (-1*1)/(-1) - -5. Calculate the remainder when z is divided by v(y).
13
Suppose 4*c = -c + 50. Calculate the remainder when 59 is divided by c.
9
Let v be 10/35 - 19/(-7). Suppose -w = -2, -v*w + 0*w = -2*s + 50. What is the remainder when s is divided by 30/(-8)*16/(-6)?
8
Let g(k) = -6*k - 4. Let v be (20/(-15))/((-2)/(-9)). What is the remainder when g(-6) is divided by (-1 - 0)/(v/102)?
15
Let p = -5 + 3. Suppose i + i = 2. What is the remainder when 16 is divided by 4/p - -8*i?
4
Let k(u) = -2*u**3 - 6*u**2 - 3*u - 3. Let w = 19 - 8. What is the remainder when k(-4) is divided by w?
8
Suppose 5 = -c - 19. What is the remainder when 1/1 + (-8 - c) is divided by 13/2 + (-2)/4?
5
Let y = -6 + 3. Let b = y + 2. Calculate the remainder when 25 is divided by b - (41 - -1)/(-3).
12
Suppose 2*g + 1 = 2*m + 5*g, -5*m - 2*g + 8 = 0. Suppose 5*a = 14 - 4. What is the remainder when a is divided by m?
0
Let p = -14 + 55. What is the remainder when 161 is divided by p?
38
Let o(t) = 2*t + 1. Suppose -2*s + 3*s = 0. What is the remainder when 0 + 2 + (s - -15) is divided by o(4)?
8
Let k be -1 + -2 - (-40)/2. Suppose -33 = -k*d + 14*d. Calculate the remainder when 43 is divided by d.
10
Suppose 60 = 3*w + 2*w. Suppose 0*m + 243 = 3*m. Suppose m = 4*n - 107. Calculate the remainder when n is divided by w.
11
Suppose -j + 69 = 2*j. Calculate the remainder when j is divided by 8.
7
Let f(n) = -n + 26. What is the remainder when 23 is divided by f(12)?
9
Suppose 2*w + 50 = 7*w. Let x = w - 4. What is the remainder when (-226)/(-6) + x/(-9) is divided by 19?
18
Let t(x) = x**3 + 7*x**2 - x + 9. Let w = 18 + -25. What is the remainder when 62 is divided by t(w)?
14
Let o(l) = -l - 13. Let s be o(-10). Calculate the remainder when 44 is divided by 7 + 0 + (s - -5).
8
Suppose -5*l = 5*v + 15, -4*v - v - 4*l = 19. Let r(f) = f - 7. Let i be r(v). Let u = 3 - i. What is the remainder when u is divided by 5?
2
Let s = -53 - -77. Suppose -4*l + 0*a = 2*a - s, -l - 4*a = 1. Calculate the remainder when 16 is divided by (2 + (-16)/14)*l.
4
Suppose 0 = -3*g + 2*t + 38, 23 = 2*g + 3*t - 11. What is the remainder when 49 is divided by g?
7
What is the remainder when (-12)/(-42) + 318/14 is divided by 6?
5
Let s = 2 - -2. Suppose -12 = -s*j + j. Calculate the remainder when 7 is divided by j.
3
Suppose -74 - 28 = -3*l. Let y(j) = -17*j - 246. Calculate the remainder when l is divided by y(-15).
7
Calculate the remainder when (14