- 2*c + 6. Let a be w(9). Let x = -8 - a. Suppose -2*i + x*i = 10. What is the remainder when 14 is divided by i?
4
Suppose -f + 2*f = 27. Let u be 4/(((-4)/1)/(-2)). Suppose h + 0*b + 5*b = f, u*h - 5*b = -21. What is the remainder when 4 is divided by h?
0
Let x(m) be the second derivative of -m**4/12 - 3*m**3/2 + 2*m**2 - m. What is the remainder when x(-8) is divided by 7?
5
Let u be (-2)/6 + 20/6. Suppose u*w - 5*c - 17 = 0, 9 = 4*w + 4*c - 3. Let z = 21 - 11. What is the remainder when z is divided by w?
2
Let p(m) = m**2 + 3*m - 5. Let v be p(11). Suppose v = 5*j - 26. Calculate the remainder when j is divided by 56/3 - 2/3.
17
Suppose -20 - 9 = -2*b - 3*f, 3*f + 37 = b. Let y = -9 + 89. Suppose 0 = 5*k - y + 20. What is the remainder when b is divided by k?
10
Suppose 0*z - 133 = -7*z. What is the remainder when 55 is divided by z?
17
Suppose -3*a + 68 = 2*h, -5*h - 2*a + 204 = -3*a. Let n(o) = -o - 4. Let v be n(-7). Suppose v*q + 4 = h. What is the remainder when 22 is divided by q?
10
Let v(k) = -11*k**3 - k - 1. What is the remainder when 19 is divided by v(-1)?
8
Let q be -3 + (-6)/(-9)*51. Suppose 0 = 5*o - j - 25, 0*o - q = -o - 5*j. Let i(c) = -c**2 + 6*c + 5. What is the remainder when i(5) is divided by o?
4
Suppose 7 = i + 4. Let h(l) = 3*l - 2. Calculate the remainder when h(4) is divided by i.
1
Suppose -2*m = -4*a + 32, 5*a + 5*m - 21 = 4. Let f = 4 + 2. Suppose 0 = 5*k - 2*u - 5 - 4, 0 = -4*k + 2*u + f. What is the remainder when a is divided by k?
1
Let m = -1 + -5. Let w = 5 - m. Calculate the remainder when 31 is divided by w.
9
Let b(y) = 2*y + y**2 + 6*y + 3*y - 2*y**2 - 7. Let s be b(10). Calculate the remainder when 26 is divided by 9/s*(-14)/(-3).
12
Suppose 5*p - 283 = 32. What is the remainder when p is divided by 33?
30
Let u(z) = 5*z + 8. Let l(v) = 1. Let m(s) = 18*l(s) - 2*u(s). What is the remainder when 86 is divided by m(-2)?
20
Suppose -4*o - 176 = -6*o - 4*g, -5*g - 67 = -o. What is the remainder when o is divided by 29?
24
Let n = 129 - 52. Suppose -5*b = -29 - 101. Calculate the remainder when n is divided by b.
25
Let a be (10/(-6) - -3)*3. Let n(c) = 8*c**3 - 5*c**3 - a*c**3. What is the remainder when n(-3) is divided by 14?
13
Suppose -2*g = -g - 9. Calculate the remainder when 41 is divided by g.
5
Suppose -4*w = 4*w - 48. What is the remainder when 39 is divided by w?
3
Let m(f) = f**3 + 3*f**2 + 8*f + 15. What is the remainder when 55 is divided by m(-2)?
1
Let x(v) = 2*v**2 - v - 3*v**2 - 1 - 3*v. Let u be x(-5). What is the remainder when (30/4)/(u/(-8)) is divided by 4?
2
Suppose z + 10 = 3*z. Let r be (-10)/4*(-8)/10. Suppose d = -r + 16. What is the remainder when d is divided by z?
4
Let y = 15 + -4. Suppose 5*r - 19 = -4. What is the remainder when y is divided by r?
2
Let q(o) = o**3 + o**2 - 2*o + 13. What is the remainder when 50 is divided by q(0)?
11
Let v(i) = i + 11. Let c be v(-9). Suppose c*q - 3*q = -14. Calculate the remainder when 27 is divided by q.
13
Suppose -2*c - 3*a + 19 = 0, 23 = -c + 5*c + 3*a. Suppose c*n = -2*i + 34, 4*n + 68 = i + 3*i. Calculate the remainder when i is divided by 4.
1
Let o(n) = -n**3 + 2*n**2 + n + 26. Let x = -10 + 10. Calculate the remainder when 75 is divided by o(x).
23
Let u(h) = -5*h + 4. Let a = 7 + -6. Let g = 48 - a. Calculate the remainder when g is divided by u(-4).
23
Suppose -5*x + 51 + 29 = 0. Let q(s) = s**2 - 4*s + 1. Let p be 3 + 5 - (0 - 1). Calculate the remainder when q(p) is divided by x.
14
Let n(c) = 5*c - 3. Calculate the remainder when 15 is divided by n(1).
1
Suppose -124 = 3*m - 7*m. Suppose 3*a + m = 3*y - 5, -2*y + 3*a = -25. Calculate the remainder when 32 is divided by y.
10
Let m = 25 - 12. Let c be 0/4*(-2)/2. Suppose 9*k - 5*k - 100 = c. What is the remainder when k is divided by m?
12
Let u(b) = -2*b**3 - 24*b**2 - b + 20. Calculate the remainder when u(-12) is divided by 5.
2
Let l(g) = -g + 47. What is the remainder when 83 is divided by l(19)?
27
Suppose 5*d + 4*p - 12 - 16 = 0, 15 = -5*p. Suppose -y + d = -2. What is the remainder when 29 is divided by y?
9
Let i = -14 - -35. Let v be (-3)/(-2) - 5/(-2). Suppose 4 = -v*a, -5*w = 2*a - 0*a - 198. What is the remainder when w is divided by i?
19
Let c(t) = t - 2. What is the remainder when 19 is divided by c(6)?
3
Let y be 9/3 + (-1 - -1). Let i = 12 + -8. Suppose g - 33 = -5*k, 0 = g - i*k - 0*k + y. What is the remainder when g is divided by 7?
6
Calculate the remainder when (-4)/(-1) + 240/15 is divided by ((-22)/(-6))/((-3)/(-9)).
9
Let l = -8 - -11. Suppose l*v = 43 - 184. Calculate the remainder when 12 is divided by (-2)/(-7) - v/7.
5
Let n be 2 + (1 + -2)*1. Let b be (-546)/(-8) - n/4. What is the remainder when (-2 + -1)*b/(-6) is divided by 12?
10
Let m = 13 - 11. Let n be ((-3)/(-6))/((-2)/(-48)). What is the remainder when m*n - (4 - 2) is divided by 8?
6
Suppose q - 4*q + 27 = 0. Calculate the remainder when 33 is divided by q.
6
Suppose 4*z - 3*n - 64 = 0, 0*z + 1 = -z + 5*n. What is the remainder when 52 is divided by z?
14
Let u(n) be the second derivative of -1/4*n**4 + 0 + n**2 + 2*n - 5/6*n**3 + 1/10*n**5. What is the remainder when 26 is divided by u(3)?
12
Let w = -37 - -42. What is the remainder when w is divided by 2?
1
Suppose 4*u = a + 1, a + 5 = -4*u + 4. Calculate the remainder when 3 + 17 + a + -2 is divided by 5.
2
Let s = -16 - -18. Calculate the remainder when 7 is divided by s.
1
Suppose 37 = 4*j + 5*o, 4 = j + 2*o - 6*o. What is the remainder when 29 is divided by j?
5
Suppose -4*w + 9*o - 4*o = -69, -5*w = 5*o - 30. What is the remainder when w is divided by 5?
1
Let c = -3 - -6. Suppose -c*g + g = -6. Suppose a - g*s - 73 = 0, -2*a = -0*s - s - 126. Calculate the remainder when a is divided by 21.
19
Suppose -10 = -2*g, -5*h + 4*g + 155 = -0*g. Calculate the remainder when h is divided by 10 - (1 - (3 + 0)).
11
Let z = -29 - -44. What is the remainder when 74 is divided by z?
14
Let x be ((-108)/30)/(4/(-10)). Let l(i) = -i + 11. Let u be l(x). Suppose -u*p = f - p - 1, 3*p = 3*f - 27. Calculate the remainder when 14 is divided by f.
4
Suppose 2*w + 234 = 3*p + 4*w, 0 = -3*w. What is the remainder when p is divided by 20?
18
Suppose 264 - 63 = 3*q. What is the remainder when q is divided by 17?
16
Suppose 5*o - 9 = 5*v + 6, 2*o - 34 = -5*v. Suppose -7*x + 3*x = -60. Suppose 5*k = 3*b - 6 - 29, x = 3*k. What is the remainder when b is divided by o?
6
Suppose 0 = 4*b - 16, j - 3*b - 2 = -8. Calculate the remainder when 29 is divided by j.
5
Let b be (248/(-12))/((-2)/(-6)). Let u = b + 87. Suppose -2*l + 0*l + 2*w = -14, -4*w = -5*l + 37. What is the remainder when u is divided by l?
7
Let a(t) = 5*t + 58. What is the remainder when 82 is divided by a(-6)?
26
Let q = 44 - 28. Calculate the remainder when 126 is divided by q.
14
Let c = 5 - 10. Let g = c + 7. Suppose 0 = g*t - 30 + 10. What is the remainder when 29 is divided by t?
9
Suppose -3*i - 3*w = -6, -5*i + 2*w = 7 + 4. What is the remainder when (-29 + i)*(-4)/10 is divided by 5?
2
Let g = 15 - 14. Let d(x) = -x + 14. Let r be d(12). Let b = r - g. What is the remainder when 1 is divided by b?
0
Suppose -4*c = -2*f - 72, -c + 18 = f - 0. Suppose -31 = i + 2*w - 78, w - 51 = -i. What is the remainder when i is divided by c + (-3)/(-5 - -2)?
17
Let a be 8/2*(-38)/(-4). Let h(s) = -s**3 - 6*s**2 + 10. Calculate the remainder when (2 - 4)/((-4)/a) is divided by h(-6).
9
Let m(t) = -t**3 + 4*t**2 + 2*t - 3. Let l be m(4). Suppose l*i - 3*i = 48. What is the remainder when i is divided by 9?
6
Let o(w) = 149*w - 2. Let r be o(4). Calculate the remainder when r/8 - (-11)/(-44) is divided by 25.
24
Suppose 7*f - 18 = -3*n + 2*f, 0 = 4*f - 12. Suppose -15 = 100*d - 101*d. Calculate the remainder when (-21)/(1/4 - n) is divided by d.
13
Let d(o) = 15*o**3 + o**2 + o - 1. Let m be d(1). Let h = m - -1. Let w(p) = -p**3 + 6*p**2 - 5*p + 6. What is the remainder when h is divided by w(5)?
5
Let k(i) = 4*i**2 - 3*i - 1. What is the remainder when k(5) is divided by 17?
16
Suppose -8 = p - 3*p. What is the remainder when 8 is divided by p?
0
Let n = 64 - 33. Suppose -3*d - 33 = -3*p, -3*d + 2*d = p - 21. Calculate the remainder when n is divided by p.
15
Let j = 3 + -6. Let n = j