(-4)) is divided by m.
15
Suppose -3*q + 30 = 3*w + w, 2*q - w = 9. Let y = q + -3. What is the remainder when 5 is divided by y?
2
Let b(m) be the third derivative of m**5/30 + m**4/24 + m**3/6 - 8*m**2. What is the remainder when b(4) is divided by 19?
18
Let x(l) = l**3 + 4*l**2 - 2*l + 3. Calculate the remainder when 31 is divided by x(-4).
9
Let v(z) = -5*z**3 - 2*z**2 + 2. Suppose 2 = -3*c - 4. What is the remainder when v(c) is divided by 12?
10
Let j(h) = -6*h - 5. Suppose 5*q + 2 + 4 = 2*w, -4*q + 2*w - 4 = 0. Let a(r) = -28*r. Calculate the remainder when a(q) is divided by j(-4).
18
Let l = 31 - 16. What is the remainder when 55 is divided by l?
10
Let t(b) = 2*b + 8. What is the remainder when t(9) is divided by 4?
2
Suppose -34 = 5*o - 99. Calculate the remainder when 51 is divided by o.
12
Let s(g) = g - 6. Let r be s(9). Suppose -24 = -2*q - 4*k, -k + 0*k - 22 = -r*q. Calculate the remainder when q is divided by 4/14 + 33/7.
3
Let z(i) = 3*i**2 - 8*i + 16. Calculate the remainder when z(11) is divided by 49.
46
Suppose -r = 3*b + 2*b - 80, b = 5*r + 16. What is the remainder when b is divided by 10?
6
Let r(t) = -t**3 + 7*t**2 - 5*t + 5. Suppose 0*w + 90 = 3*w. Calculate the remainder when w is divided by r(6).
8
Let i(f) = f**2 + 14*f + 2. Let a be i(-14). Suppose -48 = -a*t + 4*d, 2*d - 48 - 28 = -4*t. Calculate the remainder when 39 is divided by t.
19
Let b = -17 + 44. Calculate the remainder when 53 is divided by b.
26
Suppose 5*d + 4 = 14. Suppose -j = -d*j + 13. Let r(c) = c**2 + 4*c - 7. Calculate the remainder when r(5) is divided by j.
12
Let j = -11 + 4. Let g = -11 - j. Calculate the remainder when 38 is divided by (1 - -1)*(-26)/g.
12
Suppose 0 = -r + 5*y + 16, -r - 4*r = -y - 152. Calculate the remainder when r is divided by (6/(-4))/(2/(-24)).
13
Let a = 8 - 4. Suppose -4*j + 120 = a*b, -3*j + 2*b = -157 + 52. Calculate the remainder when j is divided by 9.
6
Suppose -2*c = m - 162, -c = -7*m + 2*m - 103. What is the remainder when c is divided by 22?
17
Let h(z) = z**2 + z - 2. Let y be h(-3). What is the remainder when 193/y + 3/4 is divided by 10?
9
Calculate the remainder when ((-18)/6 - -30)*1 is divided by 7.
6
Suppose -6*x + x = -20. Let h(c) = c - 1. Let b be h(x). Suppose -2*r = d - 4*r - 27, b*r = -5*d + 109. Calculate the remainder when d is divided by 8.
7
Suppose -5*h + 24 = -2*h. Let a(m) = m**2 - 6*m - 3. What is the remainder when 50 is divided by a(h)?
11
Let n(s) = -s**3 + 8*s**2 - 8*s + 10. Let t = -5 + 11. Calculate the remainder when t is divided by n(7).
0
Let z(o) = -5*o - 2*o + 2*o**2 + o - 2 + o. What is the remainder when z(-3) is divided by 11?
9
Suppose 0 = -m + 5*u + 23, -4*u = 5*m - 82 - 91. Suppose -p + 130 = -2*b + 3*b, p + 130 = b. Calculate the remainder when b is divided by m.
31
Let z = 55 + -14. Let n = z + -25. What is the remainder when 68 is divided by (-113)/(-5) + n/40?
22
Let s be 1*(-5)/(5/(-3)). Suppose -4 = 4*p, -2*h + 2*p + 9 = s*p. Calculate the remainder when 8 is divided by h.
3
Let v(p) = 13*p. Let h be v(1). Let s = -10 + h. What is the remainder when 6 is divided by s?
0
Suppose -3*l + 0*l - 6 = 0. Let h = 1 - l. Suppose 4*k = -h + 11. Calculate the remainder when 2 is divided by k.
0
Let n = 35 - 20. Let x = n - 9. Calculate the remainder when 10 is divided by x.
4
Suppose 5*p - 70 = 5*l, 0 = -p + 5 - 0. Let h be -7*4*(-3)/1. What is the remainder when 19 is divided by 4/6 - h/l?
9
Suppose 20 = t + 3*t. Calculate the remainder when (16 - -1)*(1 - 0) is divided by t.
2
Let o = 15 + -8. Suppose 2*p = o + 1. Suppose 0*v = -p*v + 16. What is the remainder when v is divided by 3?
1
Suppose 0*o = 2*o - 60. Suppose 6*n - 628 = -94. Calculate the remainder when n is divided by o.
29
Let n = -9 + 45. What is the remainder when (n/15)/(3/50) is divided by 14?
12
Suppose 0 = -5*c + 15. Suppose -d = 4*d - 5. Let b(g) = 8*g**2. Calculate the remainder when b(d) is divided by c.
2
Let q = -41 - -200. Calculate the remainder when q is divided by 23.
21
Let d(y) = -5*y - 1. Let t be d(-1). Suppose 5 = t*s - 7. Let l = s + 1. Calculate the remainder when 10 is divided by l.
2
Let w = -38 - -43. What is the remainder when 19 is divided by w?
4
Suppose 11*b = 10*b + 129. What is the remainder when b is divided by 12?
9
Let p(x) = 4*x**2 - 6*x. Let n(j) = 22*j**3 - j**2. Suppose m - 5*o - 21 = 0, 5 = -3*m - o + 4. What is the remainder when p(4) is divided by n(m)?
19
Calculate the remainder when (-12)/60 + (-141)/(-5) is divided by 8.
4
Let w = -26 + 30. Suppose 3*t + w*a + 4 = 1, -3*a - 15 = -2*t. Calculate the remainder when t is divided by 3.
0
Let n be (-206)/10 + (-2)/5. Let i = n - -34. What is the remainder when (-549)/(-15) + (-4)/(-10) is divided by i?
11
Let b(j) = j**3 + 8*j**2 - 3. Let r be b(-8). Let s(u) = 14*u**3 + 3*u**2 - 1. Let z be s(r). Calculate the remainder when (z/24)/((-2)/3) is divided by 8.
6
Let z = 8 + -14. Let n(y) = -y**3 - 5*y**2 + y + 5. What is the remainder when n(z) is divided by 9?
8
Suppose -5*f = -4*o + 104, 3*f - 15 = -5*o + 152. Let i = o + -22. What is the remainder when i is divided by 3?
0
Let u(w) be the first derivative of 7/2*w**2 + 7*w + 2 - 1/3*w**3. What is the remainder when 38 is divided by u(6)?
12
Suppose 5*m - 45 + 5 = 0. Let q = 56 - 51. What is the remainder when m is divided by q?
3
Suppose -13*b = -12*b - 13. Calculate the remainder when 48 is divided by b.
9
Let d = 5 + -1. Suppose -w = d*w - 40. What is the remainder when 31 is divided by w?
7
Let g(h) = -h**3 + 6*h**2 - 8*h + 7. Let b be (-4)/(-10) + 69/15. Let t be g(b). Calculate the remainder when 38 is divided by 4/t*26*-1.
12
Suppose 5*f - 596 = 3*k, 348 = 5*f - 2*f + 3*k. Calculate the remainder when f is divided by 20.
18
Let n(c) = c**3 - 7*c**2 - 12*c + 9. Let d be n(8). Let s be -3*(0 + 38/(-3)). Let h = d + s. What is the remainder when 29 is divided by h?
14
Let l(n) = 6*n**2 - 3. Let y(j) = -5*j - 1 + 9*j + 8*j. Calculate the remainder when l(2) is divided by y(1).
10
Suppose -19*x + 114 = -0*x. Calculate the remainder when 14 is divided by x.
2
Suppose -4*w + 9 = -11. Calculate the remainder when 46 is divided by (-13 + w)*(0 + -1).
6
Let k = -10 + 18. Let a = 63 - 47. Suppose 2*v - k - a = 0. Calculate the remainder when v is divided by 5.
2
Let o(y) = -y**2 + 5*y + 1. Let p(s) = s. Let a(r) = o(r) + 2*p(r). Let m be a(6). Let f = m - 3. Calculate the remainder when 10 is divided by f.
2
Let g be (-86)/(-6) - (-8)/(-24). Let j(n) = -n**3 - 4*n**2 + 2. Let k be j(-4). Suppose k = s - g. What is the remainder when s is divided by 6?
4
Let a = -60 - -69. Calculate the remainder when 24 is divided by a.
6
Suppose -4*u = -5*g + 81, 6 + 25 = 2*g - 3*u. Calculate the remainder when 49 is divided by g.
15
Calculate the remainder when 24 is divided by (-16)/4 + 1 - (-18 - 0).
9
Let v be 6*1 + 0 - -2. Suppose 0 = 5*c - c - v. Suppose 0 = -2*d + 3*d + 4*x - 5, 0 = -c*d + 2*x + 20. Calculate the remainder when 16 is divided by d.
7
Let l(m) = m - 1. What is the remainder when 14 is divided by l(6)?
4
Let t(h) = 4*h**3 - 3*h**2 + 3*h - 2. What is the remainder when t(2) is divided by 9?
6
Suppose -4*i + 52 = i - 2*w, w + 31 = 3*i. Suppose -5*k - 7*u = -2*u - 10, -4*u + 3 = -k. Let b = i - k. What is the remainder when b is divided by 6?
3
Let x(k) = -k. Let u be x(0). Let b = 3 + -1. Suppose -3*h + b*h + 8 = u. What is the remainder when 15 is divided by h?
7
Let a = 5 + -12. Let j(w) = -2*w. What is the remainder when j(a) is divided by 4?
2
Let b(k) = -k**3 + 6*k**2 + 2*k - 9. Let r be b(6). Suppose 2*l - 18 = r*p, l + p - 2*p - 8 = 0. Calculate the remainder when 141/6 + 6/(-4) is divided by l.
4
Let f(c) be the first derivative of 13*c**2/2 + c + 1. Suppose 0*n + 14 = n. Calculate the remainder when f(3) is divided by n.
12
Let m(t) = t. Let w(z) = -z**3 - 4*z**2 + 8*z + 5. Let f(i) = 4*m(i) - w(i). Suppose -5*g - 8 - 12 = 0. Calculate the remainder when f(g) is divided by 6.
5
Suppose 13 = -2*s + 63. Calculate the remainder when s is divided by 9.
7
Let j(l) = 2*l**2 + l - 5. Calculate the remainder when j(-6) is divided by 32.
29
Let z(m) = -m + 7. Let j be z(5). Suppose -k - 2*p = 5, -k + j*p = -p. Calculate the remainder when 43 is divided by (-5)/((-30)