5 - 51. What is the remainder when j is divided by f?
1
Suppose -2*s = 4*t - 24, -5*t - 8 = -t. Let l = 84 - s. Calculate the remainder when l is divided by 14.
12
Let f(u) = u**2 + 4*u + 4. Let j = 35 - 18. Calculate the remainder when j is divided by f(-5).
8
Calculate the remainder when (-159)/(-6) - 1/(-2) is divided by 14.
13
Suppose -4*f + 15 = -29. What is the remainder when 30 is divided by f?
8
Let x = -2 + 3. What is the remainder when x is divided by 1?
0
Let f(i) = -i**3 - 8*i**2 - 22. Calculate the remainder when f(-10) is divided by 30.
28
Suppose -3*k + 7*k = -3*v + 105, -2*k + 3*v + 57 = 0. Calculate the remainder when k is divided by 18.
9
Suppose 0 = 5*d - 191 - 99. Calculate the remainder when d is divided by 15.
13
Suppose 0*q - 5*q = 10. Let r be (-5)/15 + q/(-6). Suppose -t - 11 = -2*i, r = 4*t + 9 + 3. Calculate the remainder when 7 is divided by i.
3
Let c be -3 - -2*67/2. Suppose -r + c = 3*r. Calculate the remainder when r is divided by 6.
4
Let h(d) = d**3 + 4*d**2 + 2*d - 2. Let t be h(-2). Suppose -2*q = t + 4. Calculate the remainder when (-135)/(-3) - (q + 4) is divided by 15.
14
Suppose -k - 48 = -3*n, k = -3*n - 2*k + 48. Suppose -3*h - 5*y = -2*y - 99, -y - 122 = -4*h. What is the remainder when h is divided by n?
15
Let q(z) = z**2 + 9*z + 7. Let i(y) = 2*y**3 - 4*y**2 + 2*y + 2. What is the remainder when q(-10) is divided by i(2)?
5
Let q(t) = t + 1. Let h(m) = m + 1. Let r(f) = 5*h(f) - 6*q(f). Calculate the remainder when 7 is divided by r(-6).
2
Suppose -4*t + 13 + 135 = 0. Let h(v) = 8*v + v**3 - 8 - 2*v + v**2 - 6*v**2 - 9*v. Calculate the remainder when t is divided by h(6).
7
Suppose 0 = w - k + 7, 4*w + 4*k = -28 - 24. Suppose s - 75 = -5*j - 4*s, 3*j - 46 = -2*s. Calculate the remainder when j is divided by 4/(-10) - 64/w.
4
Let u = -2 - -10. Let a = -32 + 55. Calculate the remainder when a is divided by u.
7
Let h be ((-6)/(-21))/(1/7). Suppose 2*v - 3*v - 35 = -h*p, -4*p = -v - 71. Calculate the remainder when 52 is divided by p.
16
Let v(l) be the third derivative of l**6/120 + 2*l**5/15 - 11*l**4/24 - 13*l**3/6 - 5*l**2. Calculate the remainder when 9 is divided by v(-9).
4
What is the remainder when (55/(-44))/((-1)/16) is divided by 15?
5
Let i = 0 + -3. Let v be (-205)/i*9/3. Suppose 3*t + 2*n = n + 116, -4*n + v = 5*t. Calculate the remainder when t is divided by 10.
7
Let i(f) = -f**2 - 9*f - 5. Let l be i(-7). Calculate the remainder when 12 - 1 - 0/l is divided by 3.
2
Let s(g) = -g**2 - 19*g - 57. Calculate the remainder when 53 is divided by s(-12).
26
Suppose -4*a = -2*q - 52, 4*a + 34 = -4*q + 110. What is the remainder when a is divided by 6?
3
Let a be (1 - 0) + (3 - -6). Let c = a + 0. Let l = -1 + 19. Calculate the remainder when l is divided by c.
8
Let s(w) = 7*w + 15. Let d be s(10). Suppose -z - 2*o + 4 = 0, -o + 4*o = 5*z - d. Calculate the remainder when 25 is divided by z.
11
Suppose -4*z - 3*k + 244 = 0, 0 = -5*k - 21 + 1. Suppose m = -m + z. Let p = m - 18. Calculate the remainder when p is divided by 8.
6
Let d be 9/(-3)*-19 - 0. Let h = 115 - d. Calculate the remainder when h is divided by 20.
18
Let q(d) = -d**2 - d + 1. Let b be q(-3). Let a be b/(30/4)*-204. Suppose 2*p + 54 = a. Calculate the remainder when p is divided by 14.
13
Let w(f) = -20*f - 8. Let d be w(-7). Calculate the remainder when d/12*6/2 is divided by 9.
6
Let s(c) = c**2 + c + 8. Let y be s(0). Suppose 3*j - 24 = -2*i, y*i - 3*i - 5*j = 35. Calculate the remainder when 26 is divided by i.
8
Suppose 0 = d + 5*l - 30, 5*d + l = 2*l + 72. Let c = 61 - 35. Let o = c + 2. Calculate the remainder when o is divided by d.
13
Suppose 0*i + 4 = i. Calculate the remainder when 1/((4/16)/((-10)/(-4))) is divided by i.
2
Suppose 5*i + 115 = 5*z, -31 = -2*z + 5*i + 6. Calculate the remainder when z is divided by 7.
5
Suppose 0 = -5*o - 3*m + 7, -4 - 7 = -5*o - 4*m. Let g = 40 - o. What is the remainder when g is divided by 14?
13
Suppose -315 = -5*b - 4*t, -3*b - t + 99 = -90. Let x(j) = j**3 + 5*j**2 - 7*j + 7. Calculate the remainder when b is divided by x(-6).
11
Suppose 0*l = 4*l. Let w = 13 + l. What is the remainder when 34 + (-7)/((-14)/8) is divided by w?
12
Suppose 2*z - 15 - 19 = 0. Suppose -6*s + 125 + 61 = 0. Calculate the remainder when s is divided by z.
14
Let r(w) = w**2 - 7*w + 4. Let h be r(5). Let c be (11/2 - 4)*-8. Let m = h - c. What is the remainder when 16 is divided by m?
4
Let f(u) be the second derivative of u**4/12 - u**2 + u. What is the remainder when f(6) is divided by 7?
6
Suppose 4*r - 164 = 2*v, 166 = 4*r - 0*r - 3*v. Suppose 2*i = 16 + r. What is the remainder when i is divided by 10?
8
Let w = 8 - 4. Suppose -14 = -w*p - 2. Calculate the remainder when 8 is divided by p.
2
Let x(b) = b**2 - 4*b - 8. What is the remainder when 23 is divided by x(7)?
10
Let b(c) = -3*c**3 - c**2 - c. Suppose 0 = -93*i + 94*i - 10. Calculate the remainder when i is divided by b(-1).
1
Suppose 0*h + 4*h = -4*y + 44, 2*h - 2*y - 10 = 0. Suppose 2*c - 6*c = -h. What is the remainder when c is divided by 2?
0
Suppose 28 = 11*f - 10*f. Let o(k) = -k + 10. Calculate the remainder when f is divided by o(0).
8
Suppose -5*j - 80 = -5*y, -3*y = 2*y - 3*j - 76. What is the remainder when y is divided by 9?
5
Suppose -46 = 5*j - 1. Let i(w) = -6*w + 1. What is the remainder when i(j) is divided by 1/1*-1*-19?
17
Let z be (-16)/(-5) + (-5)/25. Suppose -w + 28 = z*w. Let y(q) = q**2 + 4*q - 8. What is the remainder when w is divided by y(-6)?
3
Calculate the remainder when (-52)/(-2) + (0/2 - 3) is divided by 6.
5
Let s = 13 - 9. Suppose -d + s = -0*d. Suppose -d*k - k = -65. Calculate the remainder when k is divided by 5.
3
Let o = 22 - -1. Suppose -2*m - 2*a - 6 = -0*m, 4*m - o = 3*a. What is the remainder when 7 is divided by m?
1
Let f(n) = -38*n**3 - n**2 - 2*n - 1. Calculate the remainder when f(-1) is divided by 21 + (12/(-2) - -5).
18
Let x(y) = y**2 - 12. Let q = 16 + 3. Calculate the remainder when x(7) is divided by q.
18
Suppose 4*i + 1 = -3. Calculate the remainder when i/2*20/(-1) is divided by 6.
4
Let b(v) = 6*v + 3. Suppose 3*c - 84 - 3 = 0. What is the remainder when c is divided by b(2)?
14
Let y(g) = g**3 + 6*g**2 - 4*g - 7. Suppose -4*v - v - 30 = 0. Let t = -43 + 92. What is the remainder when t is divided by y(v)?
15
Suppose y + 0*c - 4*c - 25 = 0, 5*y + 5*c = 175. Calculate the remainder when y is divided by 7.
5
Suppose -9*l - 42 = -11*l. Let x = 52 + -7. Let m = x - l. What is the remainder when m is divided by 13?
11
Let x(c) = 19*c**2 + c - 4. Calculate the remainder when x(2) is divided by 38.
36
Suppose -4*d + 95 = -165. Suppose -163 = -3*h + d. Suppose 0 = 5*o - h - 24. Calculate the remainder when o is divided by 7.
6
Let w(h) be the first derivative of 7*h**3/3 + h + 3. What is the remainder when w(-2) is divided by 15?
14
Let j = 13 - -12. Suppose -4*p + 2*n = -114 - 18, -3*p = -n - 100. Suppose -2*s = v - 5, 5*v - 2*s = 3*v + p. What is the remainder when j is divided by v?
12
Let b(c) = c**2 + 5*c + 2. Let s be 4*((-16)/4 + 2). Let t(u) = -2*u - 1. What is the remainder when t(s) is divided by b(-6)?
7
Suppose 7*d - 1100 = 2*d. Calculate the remainder when d is divided by 37.
35
Let k(t) = t**3 - 2*t**2 + t - 4. Suppose -16 + 7 = -3*q. Let y be k(q). Let n = 11 + y. Calculate the remainder when n is divided by 5.
4
Let q(r) = -r**3 - 12*r**2 - 14*r + 7. Let l be q(-11). Suppose -6*x + l = -2*x. What is the remainder when 19 is divided by x?
9
Let v(g) be the third derivative of g**4/6 - 5*g**3/3 + g**2. What is the remainder when 43 is divided by v(8)?
21
Suppose 0 = -r + 5 - 1. Suppose -c - r*s = -5*c, -3*s = 4*c - 14. Suppose 0 = -0*a + a - c. Calculate the remainder when 2 is divided by a.
0
Let p(t) be the third derivative of t**4/6 - 2*t**3/3 + 3*t**2. What is the remainder when p(10) is divided by 19?
17
Let q(o) = o**2 + 4*o - 9. Let i be q(-7). Suppose 2*h - 4*h + i = 0. Suppose -47*a = -50*a + 6. Calculate the remainder when h is divided by a.
0
Suppose 0 = -2*n - n + 15. Let s = -4 - -8. Suppose -2*k + 3*y = -6, -s*y - 29 = -2*k - 3*k. What is the remainder when k is divided by n?
4
Let t = 5 + 4. Calculate the remainder when t is divided by 6.
3
Let g be 5/2