 f is divided by w.
6
Let n(v) be the second derivative of -v**5/20 + 7*v**4/12 - 2*v**3/3 - v**2/2 + 2*v. Calculate the remainder when 21 is divided by n(6).
10
Suppose 5*s - 375 + 85 = 0. Suppose -2*i - 86 = -5*q + 2*q, -2*q + i + s = 0. What is the remainder when q is divided by 16?
14
Let f(u) = 2*u**3 - 4*u**2 + 2*u + 3. Let a be f(4). Let i = a - 17. What is the remainder when i is divided by 15?
13
Let j = -5 + 6. Let m = j - -12. What is the remainder when m is divided by 7?
6
Suppose 0 = -5*f - 41 - 49. Let t = 41 + f. Let i = 0 + t. What is the remainder when i is divided by 12?
11
Let l = 23 - 8. Let y = l - 0. Calculate the remainder when 43 is divided by y.
13
Let j(i) = -3*i + 1. Calculate the remainder when j(-5) is divided by (-8)/4 + 11/1.
7
Let h = 6 - 3. Suppose 3*z - 5*a - 34 = 0, -3 = 4*z + 2*a - 5. What is the remainder when (-42)/(-9) - (-1)/z is divided by h?
2
Suppose 57 = 3*s + 9. Let h(q) = q**3 + q**2 + q + 47. Suppose 0*a = -3*a - 3*u - 12, u = 3*a - 4. Calculate the remainder when h(a) is divided by s.
15
Suppose 8*d + 15 = 3*d. Calculate the remainder when 29 is divided by (-10)/(d*6/27).
14
Suppose 0 = 4*b - 0*b - 372. Calculate the remainder when b is divided by 24.
21
Let p(b) = b**3 - 8*b**2 + 8*b + 5. Suppose -7*n + 28 = -3*n. Calculate the remainder when p(n) is divided by 3.
0
Suppose -v = -0 - 2. Let y be ((-20)/(-12))/(v/6). Let c = y - -5. What is the remainder when c is divided by 6?
4
Let l(r) = r. Let v be l(2). Suppose 2*u - 2 = v. What is the remainder when ((-8)/5)/(u/(-45)) is divided by 19?
17
Let w be 6/(-12) + (-14)/4. Let m be 6 + (w/(-2) - 4). What is the remainder when 4/6 - m/(-3) is divided by 1?
0
Suppose -4*x = 5*q - 244, 4*x - x - 3*q - 210 = 0. Suppose -2*m - m = -x. What is the remainder when m is divided by 13?
9
Let i(q) = 9*q**3 - 4*q**2 + 2*q + 2. What is the remainder when i(2) is divided by 16?
14
Let a(x) = x**2 - 8*x - 17. Let u be a(12). Suppose u - 1 = 3*p. Suppose 0 = 5*o + z - 85, 7 = o - z - p. What is the remainder when 33 is divided by o?
16
Let n(d) = -d**3 - 6*d**2 + 7*d + 1. Let h be n(-7). Let m = h + 8. Calculate the remainder when m is divided by 4.
1
Suppose 2*n = 3*b - b - 30, -4*b - 4*n + 92 = 0. Calculate the remainder when b is divided by 10.
9
Let v be 1/(-2) + 65/2. Let b = 63 - v. Suppose 3*q + b - 100 = 0. Calculate the remainder when q is divided by 12.
11
Let k = 2 - -3. Suppose -j = 2*z - 0*z - 29, -k*j = -25. Suppose -18 = -2*h + z. Calculate the remainder when h is divided by 6.
3
Suppose -17 + 5 = x - 4*h, 0 = -5*x + 2*h + 30. Let c(n) = -1 + 7*n + 5*n - 4*n + 0. Calculate the remainder when c(2) is divided by x.
7
Let u(f) be the second derivative of f**4/12 - 2*f**3/3 + f**2/2 + 3*f. What is the remainder when 16 is divided by u(5)?
4
Let l(m) = 2*m - 6. Let r be l(4). Calculate the remainder when (-126)/(-4) + 1/r is divided by 11.
10
Suppose 7*y + 21 = i + 2*y, 0 = 4*i - 2*y - 66. Let d = i - 9. Let l(w) = -w**3 + 6*w**2 + 10*w - 9. What is the remainder when 35 is divided by l(d)?
11
Suppose 2*y - 28 = -2*o, 5*o = -0*o - 4*y + 65. What is the remainder when o is divided by 6?
3
Suppose 0 = 6*t - 7*t + 291. Calculate the remainder when t is divided by 42.
39
Let p be 2 + 9/(-3) + -7. Calculate the remainder when 1 + (0 - 0) + 5 is divided by (p/(-10))/((-3)/(-15)).
2
Suppose 68 = 4*o + 4. Suppose 3*r - 21 = 45. Suppose -r = -5*k - 2*d, -3*k - 3*d + 14 = -2*d. What is the remainder when o is divided by k?
4
Let g = 13 - -8. Calculate the remainder when g is divided by 11.
10
Let s(q) be the third derivative of -11/24*q**4 + 0 + 0*q - 1/60*q**5 + q**2 - 2*q**3. What is the remainder when 11 is divided by s(-9)?
5
Suppose -2*d + 10 = 4*z, 20 = 4*d + 8*z - 4*z. What is the remainder when 25 + 1*(0 + 2) is divided by d?
2
Suppose 0 = -l - 2*v - v + 31, 0 = -5*l + 5*v + 175. Suppose 0 = 21*f - 147 - 105. What is the remainder when l is divided by f?
10
Let x(s) = -s**2 + 2*s + 18. Calculate the remainder when 51 is divided by x(0).
15
Let g be -1*2*(-25)/(-2). Calculate the remainder when 36 - (-10)/(-7 + 2) is divided by ((-60)/g)/(1/5).
10
Let q = 101 - 67. Suppose -3*t = 2*j - q, -4*j + 64 = 5*t - 0*t. Let w(d) = -12*d + 69. Calculate the remainder when w(4) is divided by j.
10
Suppose -5*z + 31 + 44 = 0. Calculate the remainder when (11/2)/(2/16) is divided by z.
14
Suppose -4*w + 1 = -2*d - 7, -3*d = 0. Suppose 2*m - 4*m + w = 0. Let h = 3 + m. Calculate the remainder when 7 is divided by h.
3
Let p(l) = l**3 + 5*l**2 + l + 2. What is the remainder when 67 is divided by p(-4)?
11
Suppose -4*y - 12*y = -336. Let p(s) = 4*s**2 - 4*s - 2. Let j(k) = k - 1. Let q(d) = -2*j(d) + p(d). Calculate the remainder when q(4) is divided by y.
19
Let a(v) = v**2 + 3*v + 15. What is the remainder when 33 is divided by a(-4)?
14
Let z = -1 + -4. Let k = z - -23. What is the remainder when k is divided by 10?
8
Suppose -5*n + y - 283 - 67 = 0, -n - 5*y = 96. Let h = n - -49. Let l = 0 - h. What is the remainder when l is divided by 12?
10
Suppose -9*s + 96 = -4*s + o, -2*s = 2*o - 40. Calculate the remainder when 64 is divided by s.
7
Let l = -5 - -20. Let b = -9 - -12. Suppose -4*s + b*s = -28. What is the remainder when s is divided by l?
13
Suppose 3*t - 122 = -2. Let m(i) = 3*i - 4. Calculate the remainder when t is divided by m(6).
12
Suppose 5*k - 3*d + 0 = -79, 2*k + 32 = d. Let p = 1 - k. Calculate the remainder when 71 is divided by p.
17
Let i(b) = b**2 + 10*b. What is the remainder when 31 is divided by i(-11)?
9
Let b(p) = p**2 - 10*p + 2. Let c be (2/(-2))/(2/(-20)). Calculate the remainder when b(c) is divided by 1.
0
Suppose 8*k - 1238 = 538. What is the remainder when k is divided by 28?
26
What is the remainder when -2 + 76 + 0*4/8 is divided by 17?
6
Suppose -16*l + 7*l = -72. Calculate the remainder when 14 is divided by l.
6
Let n(a) = 5*a. Let l be n(-3). Let m be (l/6)/((-2)/4). Let s = 12 - m. Calculate the remainder when 12 is divided by s.
5
Suppose 6*b - b - 205 = 0. Suppose -3*o = h + o - 7, -42 = -4*h - 2*o. What is the remainder when b is divided by h?
8
Suppose 5*v - 33 = 87. Calculate the remainder when 94 is divided by v.
22
Let z = 33 - 19. Calculate the remainder when 40 is divided by z.
12
Suppose 4*l - 3*b - 64 = 0, 0*l = -4*l - 5*b + 96. Calculate the remainder when l is divided by 7.
5
Suppose -2*o = -2*r - 16 - 10, 4*o - 49 = r. What is the remainder when 69 is divided by o?
9
Let p(q) = q**2 + 19*q - 14. What is the remainder when 22 is divided by p(-20)?
4
Suppose -j - 5*h = 27, 5*h - 4 = 3*j - 3. Let x = j - -16. What is the remainder when 15 is divided by x?
6
Let y = 61 + -31. Suppose 0*s + 2*n = 4*s - 42, -4*n = -2*s + 36. Calculate the remainder when (y/(-8))/((-1)/4) is divided by s.
7
Suppose 1 + 1 = 2*d - 2*j, -2*d = 2*j - 6. Let k be (-505)/30 - d/12. Let r = k + 31. What is the remainder when 27 is divided by r?
13
Suppose -138 = -18*z + 42. Calculate the remainder when 59 is divided by z.
9
Let t(l) = l**2 + l - 9. What is the remainder when t(4) is divided by 3?
2
Let g = 46 + -40. Suppose -15 = -8*k + 3*k. What is the remainder when g is divided by k?
0
Let k(h) = -h**3 + 6*h**2 + 18*h - 8. Calculate the remainder when 19 is divided by k(8).
3
Let k(p) = -p + 19. Calculate the remainder when 35 is divided by k(10).
8
Let l = -49 + 71. Let h = 11 - 8. What is the remainder when (1 - h)*(-130)/4 is divided by l?
21
Suppose 0 = 6*f - 1 - 35. What is the remainder when 15 is divided by f?
3
Let r(z) = -8*z**2 - 2*z + 3. Let k(b) = 23*b**2 + 7*b - 8. Let w(p) = 6*k(p) + 17*r(p). Calculate the remainder when w(-5) is divided by 7.
6
Let m be (6/3)/((-2)/(-40)). Suppose m = 2*p + a, 2*p = 2*a + 39 + 1. What is the remainder when 37 is divided by p?
17
What is the remainder when 29 is divided by (5/(-4))/(-5) - (-19)/4?
4
Suppose 3*b = -0*b + 18. Suppose 5*k + 37 = b*k. Calculate the remainder when k is divided by 13.
11
Suppose m = 5*m - 16. Suppose -2*j = 4*s - 18, 2*j = 3*j + m*s - 19. What is the remainder when 46 is divided by 16 + (0 - (j - -1))?
14
Suppose j = -0 + 6. Suppose -3*r = -j, -2*p + 7*p + r - 167 = 0. Let w = p - 18. Calculate the remainder when w is divided by 8.
7
Suppose -2*l = -5*l + 99. Ca