divided by h.
10
Let w(k) be the third derivative of k**4/24 + k**2. Suppose 0*j = 2*j - 26. Calculate the remainder when j is divided by w(5).
3
Let k(z) = z**3 - 2*z**2 - 2*z - 1. Suppose -3*j - 4*o = 15, 2*j + 3*o = -j - 12. Let u be k(j). What is the remainder when 17/3*3 - u is divided by 10?
9
Let d = -32 - -46. What is the remainder when 69 is divided by d?
13
Let c(a) = -a**2 + 8*a + 7. Let k(b) = -b**3 + b**2 + 2*b - 4. What is the remainder when k(-3) is divided by c(7)?
12
Let i = 0 + -4. Calculate the remainder when 34 is divided by (-1 - -7)*i/(-2).
10
Suppose 6*a - 3*a - 4*o = 215, 4*a + 5*o - 235 = 0. What is the remainder when a is divided by 14?
9
Suppose -34 = -2*o + m, 3*o - 53 = 2*m - 0*m. Calculate the remainder when 24 is divided by o.
9
Let y = 3 + -5. Let d be 0/7 - 14/y. Let a(h) = -h + 8. What is the remainder when 1 is divided by a(d)?
0
Let t be (25/10)/((-1)/(-18)). Let n = t - 29. Suppose -8 = 3*d + 4, -n = -4*l + d. What is the remainder when 7 is divided by l?
1
Let o(d) = -d. Let m(j) = -j**3 + 2*j**2 + j. Let b be m(3). What is the remainder when 10 is divided by o(b)?
4
Let v(b) = -b - 1. Suppose -5*g + 4*t = -66, 4*g + t + 3*t = 60. Calculate the remainder when g is divided by v(-6).
4
Suppose 20 = k + n - 3*n, 2*k = n + 34. What is the remainder when -5*(k/10 - 2) is divided by 2?
0
Let o(y) = 5*y + 3. Calculate the remainder when o(10) is divided by 9.
8
Suppose 0 = -2*f - 6, 5*f + 123 = 3*p - 0*f. Calculate the remainder when p is divided by 10.
6
Let j(z) = -3*z. Let n be j(-2). Suppose u = n - 0. What is the remainder when 22 is divided by u?
4
Suppose 5*y - 49 = 26. Suppose 0 = -2*f + y + 3. Let g = 21 - f. What is the remainder when 34 is divided by g?
10
Let b(h) = 2*h**3 - 2*h**2 - 1. Let y be b(2). Suppose -4*i - 1 = -3*i. Let n = y - i. Calculate the remainder when 15 is divided by n.
7
Let d = -6 - -8. Calculate the remainder when d is divided by 6/(-4)*(-20)/15.
0
Let l(y) be the third derivative of y**6/120 + y**5/6 - y**4/12 - 5*y**3/2 - 7*y**2. Calculate the remainder when 17 is divided by l(-10).
2
Suppose 2*p + 4*k + 1 = -15, 2*k - 8 = 3*p. Calculate the remainder when 44 - (p - -3 - -1) is divided by 15.
14
Suppose 5 = -r - 2*y, -3*r + 4*y + 0*y = -15. Let l(h) = -3*h - 3 + r + 4. Calculate the remainder when 14 is divided by l(-2).
6
Let l(o) = -13*o - 4. Calculate the remainder when (-416)/(-10) + 2/5 is divided by l(-2).
20
Let l be (-11)/((-4)/3 - -1). Suppose -l = 5*y - 88. Suppose 0 = -7*f + 4*f + 60. What is the remainder when f is divided by y?
9
Let l(f) = -f**3 + 3*f**2 + 8*f - 3. What is the remainder when 18 is divided by l(4)?
5
Suppose -5*f + 4*f + 4 = -2*g, -4*g + 20 = 5*f. Suppose -6*l + 5*l = -2. Calculate the remainder when f is divided by l.
0
Let k = -12 + 30. Let s(w) = 15*w - 3. Let n be s(1). Suppose -153 = -3*z - 5*x, 5*x = -5*z + 267 - n. What is the remainder when z is divided by k?
15
Let u(a) = -11*a**3 - 2*a**2 - 2*a - 1. What is the remainder when 37 is divided by u(-1)?
7
Suppose 0 = 5*i + 2*j + 133, 2*j = -3*i - j - 78. Let w = i - -51. Calculate the remainder when 70 is divided by w.
22
Let i be ((-1)/2)/(7/126). Let h(j) = -4*j - 1. What is the remainder when h(i) is divided by 19?
16
Calculate the remainder when 37 is divided by (1 + (-12)/9)/((-1)/39).
11
Suppose 4*g - 52 - 16 = 0. What is the remainder when g is divided by 9?
8
Let s(u) = 5*u**2 + 6*u - 7. Let v be s(5). Suppose 6*m - 2*m - v = 0. Let j = -6 - -19. What is the remainder when m is divided by j?
11
Let z(k) = -k**3 - k**2 + 1. Let y(m) = 4*m**3 + 13*m**2 + m + 1. Let p(q) = -y(q) - 3*z(q). What is the remainder when 21 is divided by p(-10)?
3
Suppose -3*b - 2*o - 3*o = -89, -3*o = -3. Let z = -3 - -18. Calculate the remainder when b is divided by z.
13
Let c = -9 + 11. Suppose 2*t = -c*t + n + 50, 0 = -4*t - n + 54. Calculate the remainder when 51 is divided by t.
12
Let k = 8 - 2. Let f = 4 + k. What is the remainder when 19 is divided by f?
9
What is the remainder when 107 is divided by (-187)/(-5) + 2*5/(-25)?
33
Let g(b) = -b**3 - b**2 + 4*b - 7. Let w be 1*2/(-2) + -3. Calculate the remainder when 74 is divided by g(w).
24
Let h(r) = r**3 + 5*r**2 + 3. What is the remainder when (-12)/42 - (-254)/7 is divided by h(-4)?
17
Let m(r) = -r - 1. Let s(z) = -14. Let g(u) = -2*m(u) + s(u). Calculate the remainder when g(8) is divided by ((-5)/10)/(1/(-4)).
0
Let y(w) = -7*w + 6. Let b(v) = -v**3 - 11*v**2 - 10*v + 6. Let c be b(-10). Let x = 8 + c. What is the remainder when y(-5) is divided by x?
13
Let n = -3 - -17. Calculate the remainder when 27 + (3 - 2) + -2 is divided by n.
12
Let q(c) = -c**2 + 12*c - 1. Let f(a) = -a**2 + 8*a + 2. What is the remainder when q(9) is divided by f(6)?
12
Suppose 0 = 3*n - 1 - 8. Suppose 19 = -0*f + f + r, n*r = 6. Suppose -10 = l - 42. Calculate the remainder when l is divided by f.
15
Suppose -70 = -5*i - 5*l, l - 18 = -i - 2*l. Calculate the remainder when 81 is divided by i.
9
Suppose 3*j = j + 32. Calculate the remainder when (-219)/(-7) - (-20)/(-70) is divided by j.
15
What is the remainder when 84 is divided by ((-319)/(-44))/(1/4)?
26
Let f(r) = 63*r + 1. Suppose i - 6 = -5. What is the remainder when f(i) is divided by 22?
20
What is the remainder when 3/24*4*62 is divided by 16?
15
Let h = -23 + 28. Let t = 20 + -11. What is the remainder when t is divided by h?
4
What is the remainder when (-190)/(-4) - (-9)/(-6) is divided by 0 - (-2 - 20) - -2?
22
Suppose -5*l + 4*c = -0*c - 79, -4*l = c - 59. Let r = 34 + -7. What is the remainder when r is divided by l?
12
Let p be 10 - 3*(-4)/(-6). Let y = -6 + p. Suppose -y*z + 10 = -2*u, 4*u + 20 = 2*z + 7*u. What is the remainder when 20 is divided by z?
6
Let i(w) = w**2 - 12*w - 9. Let u be i(13). Suppose -p = -u - 9. Suppose b = -b + 74. What is the remainder when b is divided by p?
11
Let c(p) = 5 + 5*p + 2*p - p. Suppose -3*f = 3*j - 45, f - 4*j + 0*j = 0. What is the remainder when c(7) is divided by f?
11
Suppose 0 = -2*v - 4, 2*j + 4*v = 204. Calculate the remainder when j is divided by 12.
10
Suppose 5*r - 165 = 5*d, 4*r + 4*d - 126 = 22. What is the remainder when r is divided by 3?
2
Let k(a) = 30*a**3 - 1. What is the remainder when k(1) is divided by 8?
5
Let h(o) = o**2 - 10*o + 11. Let x be h(9). Suppose -11 - 1 = -4*d. Suppose -x*n = d - 25. Calculate the remainder when n is divided by 6.
5
Suppose -2*l - 4 = -2*r, 5*r = -0*l - 5*l + 10. Suppose 2*f = -3*f + a + 112, -r*a - 86 = -4*f. Suppose q = 3 + 3. What is the remainder when f is divided by q?
5
Suppose -2*x = 3*x, u + 3*x - 88 = 0. Suppose -3*l = -2*t - 0*l + 43, -l - u = -5*t. Calculate the remainder when (-98)/(-3) + (-2)/(-6) is divided by t.
16
What is the remainder when 16 is divided by (2*1)/(96/18 + -5)?
4
Suppose 5*w + 681 = 3*s, -6*w = -2*w. Suppose 2*z = -2*d + 7*z + 217, -5*z = 2*d - s. Calculate the remainder when d is divided by 28.
27
Let f(p) = -p**3 - 9*p**2 + 9*p - 7. Let o be f(-10). Suppose -2*q + 11 = -o. Calculate the remainder when 39 is divided by q.
4
Let k(m) = 4*m + 77. What is the remainder when k(0) is divided by 20?
17
Let x(i) be the first derivative of -i**2/2 - 3*i - 1. Let v be x(-5). Calculate the remainder when v/(9/(-5) - -2) is divided by 6.
4
Let y(r) = 5*r. Suppose -2*x - 31 = -4*a + 39, -3*a + 53 = -2*x. Calculate the remainder when a is divided by y(2).
7
Let j = 12 - 9. Suppose -164 = -j*s + 1. What is the remainder when s is divided by 14?
13
Let u(m) = m**2 + 3. Suppose 0 = -2*p + 4*p. Let s be u(p). Suppose 0 = s*z - 0*z - 18. What is the remainder when z is divided by 2?
0
Let s(u) = u**2 + 5*u + 5. Let p be s(-5). Suppose p*c = -0*c - 15. What is the remainder when 44 is divided by 42/3 + (c - -4)?
14
Let l(h) = h**2 + h + 1. Suppose 4*k = 62 - 6. Suppose 2*y = -u + 59 - k, 5*u = -2*y + 33. What is the remainder when y is divided by l(-4)?
11
Let f(k) = k**2 + 2*k - 3. Let n be f(4). Suppose g + 61 - n = 2*i, -2*g + 72 = 4*i. Let j = 25 + 12. What is the remainder when j is divided by i?
18
Let u = 8 - 6. Calculate the remainder when 52 is divided by 16 + u*(-2 - -3).
16
Let k = 42 - -102. Let m = k + -78. Calculate the remainder when 13 is divided by 2/5 + m/10.
6
Let k(p) = 