is the remainder when t is divided by w?
3
Let x be ((-16)/8)/((-4)/18). Let q(k) be the third derivative of k**5/60 - k**4/12 + 5*k**3/6 + 3*k**2. What is the remainder when q(x) is divided by 23?
22
Suppose -2 = -k + 5*m + 28, 4*m - 34 = -5*k. Let g = k - -7. Calculate the remainder when 50 is divided by g.
16
Let r = 1 - -2. Suppose -2*k = -s - k - 4, -36 = r*s + 5*k. Let c = 9 + s. What is the remainder when 3 is divided by c?
1
Suppose 5*n - 4*s = 27, -4*s = -3*n + s + 24. What is the remainder when (5/n)/(11/66) is divided by 6?
4
Let q = -34 + 48. Calculate the remainder when 24 is divided by q.
10
Suppose -21 = 3*z - k - 179, -5*k = 5*z - 230. Suppose 7*m - 25 = 66. Calculate the remainder when z is divided by m.
12
Suppose -3*m + 21 + 69 = 0. Suppose 5*a = 2*a + 6. Suppose 0 = -o + 3, a*o - 70 = -4*u. Calculate the remainder when m is divided by u.
14
Let j(l) = 32*l - 4. Let h(n) = -8*n + 1. Let s(q) = -9*h(q) - 2*j(q). Let w be s(4). Suppose 13 + w = k. Calculate the remainder when k is divided by 15.
14
Suppose -5*j + 3*v + 44 = -7, j - 5 = -2*v. What is the remainder when 24 is divided by j?
6
Let k(m) = m**2 + 6*m - 11. Let r be k(-10). Suppose c = -h + r, c + 0*h - 2*h = 41. What is the remainder when c is divided by 17?
16
Suppose -4*c + 17 - 5 = 0. Calculate the remainder when (-8)/(-1*(6 - 5)) is divided by c.
2
Let s = 79 + -34. What is the remainder when s is divided by 18?
9
Let b(s) = -6 - 2*s + 0*s + s. Let m be b(-6). Suppose m = u + 2*u - 15. What is the remainder when 14 is divided by u?
4
Suppose 0 = 4*p - 5*p + 38. Suppose 4*h - 126 = -5*s, -5*h = 2*s - 26 - p. Calculate the remainder when s is divided by 8.
6
Suppose 5*h = 5*i - 35, 0*i + 23 = 4*i - 5*h. What is the remainder when (116/i)/((-2)/(-12)) is divided by 20?
18
Let w(h) be the third derivative of -h**4/24 + 19*h**3/6 + h**2. What is the remainder when (-262)/(-6) + (-2)/3 is divided by w(8)?
10
Let b(m) = m**3 + 5*m**2 - 4*m + 2. Calculate the remainder when 41 is divided by b(-5).
19
Suppose 0 = -2*c + 4*c - 56. Let n = 47 - c. Calculate the remainder when 55 is divided by n.
17
Suppose 13*s = 16*s - 153. Calculate the remainder when s is divided by 26.
25
Let z = -7 - -10. Suppose 0 = -p - 4*u + 43, 4*p - 3*u - 44 - 71 = 0. Calculate the remainder when p is divided by (z + 6/(-3))*16.
15
Suppose -l + 2*a = -5, -13*a + 9*a = -4*l + 12. Calculate the remainder when ((-3)/2 + 0)*-2 is divided by l.
0
Suppose 0 = -3*o + 12, 5*o + 52 = -4*m + 156. Let j = 25 - m. Calculate the remainder when j is divided by 2.
0
Let g(c) = 9*c + 8*c + 25*c. Let j = 37 - 36. Calculate the remainder when g(j) is divided by 15.
12
What is the remainder when 41 is divided by ((-4)/(-8))/(1/26)?
2
Suppose 2*v - v = -5*r + 85, 3*r = -3*v + 267. Suppose -o + 6*o = v. Calculate the remainder when o is divided by 10.
8
Suppose -3*l - 2*l + 10 = 0. Suppose -2*j + 3*o - 3 = -3*j, -j - l*o = -6. Calculate the remainder when 34 is divided by j.
10
Suppose 3*j - 2*j = -b + 16, -2*b - 73 = -3*j. What is the remainder when 54 is divided by j?
12
Suppose -5 = 5*t - 20. Let w be 1/t - (-40)/15. What is the remainder when 33 is divided by 24*((-14)/(-4) - w)?
9
Let v(d) = -d + 6. Let n(a) = a**2 - 6*a + 3. Let r(y) = y**2 - 5*y + 2. Let m(i) = 4*n(i) - 5*r(i). What is the remainder when m(0) is divided by v(5)?
0
Let q = 58 - 39. Calculate the remainder when 74 is divided by q.
17
Suppose 0*t + 5*t + 4*d = -18, 0 = -5*t - 2*d - 14. Suppose 0*z = 2*z + 2*r - 14, 6 = 3*r. Calculate the remainder when (7/t)/(2/(-8)) is divided by z.
4
Suppose 2*y - 11 = -v - 0, 0 = 2*v + 2*y - 28. What is the remainder when 84 is divided by v?
16
Let m be ((-18)/(-15))/((-6)/(-15)). Calculate the remainder when 5/(-3)*-6*m is divided by 16.
14
What is the remainder when 35 is divided by 5 - (-3 + -1)/4?
5
Let d(z) = -4*z**3 - 4*z**2 - 6*z - 2. Let t be d(-3). Suppose -t = 2*v - 6*v. What is the remainder when v is divided by 5?
2
Let h(i) = i**3 - 15*i + 4. Calculate the remainder when h(7) is divided by 27.
26
Let l(m) = m**2 + 1. Let j be l(12). Calculate the remainder when (j/10)/((-2)/(-4)) is divided by 16.
13
Suppose 0*g = -5*g + 4*c + 20, 12 = 3*g - c. Suppose -5*m + 71 + 49 = 5*v, -g*v - 2*m + 106 = 0. What is the remainder when v is divided by 15?
14
Let j be (-50)/(-20) + (-1)/2. Let h(q) = 6*q**2 - 2*q - 2. What is the remainder when 34 is divided by h(j)?
16
Let l = 20 + -29. Let h be 1 - (-2)/((-6)/l). Let d = 10 + h. Calculate the remainder when d is divided by 5.
4
Let h(g) be the first derivative of 4*g**3/3 - g - 1. Calculate the remainder when 11 is divided by h(-1).
2
Let n(f) = f**2 + f + 4. Let o be n(-6). Suppose 0 = 2*x + 4*a - 32, -2*x = -5*a - o + 11. What is the remainder when x is divided by (-14)/63 - 74/(-9)?
6
Let u be 16/((-1)/(-1)*-1). Let c = u + 27. Suppose 0 = 3*s + g - 14, -4*s + 7*g = 3*g - 40. What is the remainder when c is divided by s?
5
Let q(n) = -n**3 - 18*n**2 + 18*n - 15. Calculate the remainder when 15 is divided by q(-19).
3
Calculate the remainder when -5 - -79 - (-6 + 3) is divided by 8.
5
Suppose 2*h + 2*k + 40 = 0, -2*h = -7*h - k - 80. Let u = 21 - h. Calculate the remainder when u is divided by 19.
17
Suppose 2*x + n - 31 = 0, x + 2*n = 4*x - 50. Suppose -3*t = w - x - 1, -4*w = -t + 10. Calculate the remainder when 10 is divided by t.
4
Let f(o) = -o**3 - 5*o**2 + 4*o + 11. What is the remainder when f(-6) is divided by 13?
10
Let r(d) = 4*d**2. Let a be r(-1). Let s(g) be the first derivative of g**3 - 3*g**2 + 1. What is the remainder when s(a) is divided by 13?
11
Let k(y) = 2*y. Calculate the remainder when 14 is divided by k(2).
2
Suppose -14 = -4*o + 10. Suppose -3*r + 363 = -o*r. Let q = -66 - r. What is the remainder when q is divided by 19?
17
Calculate the remainder when 106 is divided by 106/9 + (-12)/(-54).
10
Let v be ((-20)/(-6) + -2)*3. Suppose v*j = 5*j - 42. Suppose x - 4*x + j = 0. What is the remainder when 27 is divided by x?
13
Suppose -4*m + 24 = 2*d, 2*d - 10 = 4*m - 2. Let n(a) = -14*a. Calculate the remainder when n(-1) is divided by d.
6
Suppose 99 = 5*x - 111. Suppose -2*p = -12 - x. What is the remainder when 51 is divided by p?
24
Suppose 0 = 9*x - 7*x - 138. Calculate the remainder when x is divided by 12.
9
Let c(u) = u + 16. Let w = -6 - -35. Calculate the remainder when w is divided by c(-6).
9
Suppose 3*s - 22 = 14. Suppose -5*w + 13 = -s. Let b = -6 + 10. Calculate the remainder when w is divided by b.
1
Let s(b) = -2*b**2 + 62. What is the remainder when s(0) is divided by 17?
11
Suppose 3*v = v + 8. Suppose 2 = 3*o - 7. What is the remainder when v is divided by o?
1
Let y(h) = -h**3 - h**2 + 2*h + 2. Suppose a = -2*a - 9. Suppose -w = 3, -w = 2*d + 2*d - 161. What is the remainder when d is divided by y(a)?
13
Let d(l) = l - 3. Let s(t) = 2*t**2 - 5 + 6*t - 4*t**3 + 5*t**3 - 7*t**2. Calculate the remainder when d(8) is divided by s(4).
2
Let j(v) = -8*v**3 + v**2 - 2*v + 1. Let m be j(1). Let k = -3 - m. Let z = -9 + 13. Calculate the remainder when k is divided by z.
1
Let p be (-1 - (-6)/4)*2. Let u be (6 - p)*5*-1. Let o = u - -37. What is the remainder when 34 is divided by o?
10
Let m = -66 - -125. What is the remainder when m is divided by 15?
14
Suppose d + r - 23 = 54, -4*r - 20 = 0. Let h = d + -31. Calculate the remainder when 14 is divided by (h/(-9) + 3)*-3.
6
Calculate the remainder when ((-108)/(-10))/((-9)/(-45)) is divided by 19.
16
Let b = 109 - 48. Calculate the remainder when 40 is divided by 4/6 - b/(-3).
19
Suppose 0*x - 2*x = -3*m - 12, 6 = x - 4*m. What is the remainder when 45 is divided by x?
3
Suppose 2*u - 8 - 2 = 0. Let c(z) = -z - 4. What is the remainder when u is divided by c(-7)?
2
Suppose -4*i = -3*h - 18, 0*h - 34 = -5*i - 2*h. Calculate the remainder when 9 is divided by i.
3
Let l(k) = 4*k**2 - 2*k + 1. Suppose j + 9 = -2*j. What is the remainder when l(j) is divided by ((-60)/3)/(-4)*3?
13
Let b = -63 - -180. What is the remainder when b is divided by 24?
21
Let m(a) = a**3 + 2*a**2 + 2*a + 6. Let v be m(-4). Let b = v + 63. What is the remainder when b is divided by 8?
5
Suppose c = -4*w + 5*c, -c = 4*w. Let r = w - -2. Calculate the remainder when 6 is divided by r.
0
Suppose 0