emainder when ((-2)/4)/((-1)/l) is divided by 6.
5
Let t(h) = -h - 9. Let a be t(-4). Let y(k) be the first derivative of -k**3/3 - 7*k**2/2 + 3*k - 2. What is the remainder when y(a) is divided by 7?
6
Suppose 3*m - 7 - 17 = 0. Calculate the remainder when 11 is divided by m.
3
Suppose 5*c = -13 + 108. Suppose b + c = 2*f, 2*f - 3*b = -8*b + 49. What is the remainder when 46/3*6/4 is divided by f?
11
Suppose 24 = 3*y - 15. What is the remainder when y is divided by 7?
6
Suppose -15 = -2*b - 3*x, -b + 4*x = 3*b. Suppose b*d = 5*d - 30. Suppose -3*a = -4*a + 44. Calculate the remainder when a is divided by d.
14
What is the remainder when 3/(-1) - -1 - -47 is divided by 23?
22
Calculate the remainder when 68 is divided by ((-98)/(-21))/((-2)/(-6)).
12
Let r = 37 + -10. Calculate the remainder when r is divided by 7.
6
Calculate the remainder when ((-29)/(-1))/(-4*(-1)/4) is divided by 8.
5
Suppose q = 2*m - 58 - 99, 0 = 3*m + 3*q - 240. Calculate the remainder when m is divided by 20.
19
Let w = 12 - 7. What is the remainder when w is divided by 2*(9/6)/1?
2
Let w(z) = z**3 + z**2 + 8. Let l be w(0). Suppose -10 = l*m - 3*m. Calculate the remainder when 51 is divided by ((-26)/1)/(1*m).
12
Let v(s) = 5*s - 2. Let n(o) be the third derivative of o**5/60 + o**4/8 + o**3/6 - 2*o**2. What is the remainder when v(3) is divided by n(-4)?
3
Let f = 8 - 3. Let k be (-18)/(-10) + 1/f. Let h(o) = 8*o + 2. Calculate the remainder when 52 is divided by h(k).
16
Suppose 7*h - 2*h = 410. Suppose z - 51 = -2*j, 2*z + h = 4*j - 0*z. Calculate the remainder when 44 is divided by j.
21
Let i = 94 - 47. Let z(t) be the first derivative of 2*t**3/3 - 9*t**2/2 - 2*t + 5. What is the remainder when i is divided by z(6)?
15
Suppose 62 = 2*b - 20. What is the remainder when b is divided by 22?
19
Suppose 4*q = -4*o + 84, -7*o = -4*q - 2*o + 48. Calculate the remainder when 66 is divided by q.
15
Suppose -3*w - 4*v + 8 = -7*w, -5*v + 2 = -3*w. Let q be (-6 - -5)/(2/w). What is the remainder when -1 + q + -2 + 20 is divided by 10?
9
Let f = 73 - 21. Suppose -2*p + 130 - f = 0. What is the remainder when p is divided by 10?
9
Let s(x) = -x + 32. What is the remainder when 54 is divided by s(13)?
16
Suppose -2*a - 11 = -w - a, 2*w - 36 = -5*a. Let s(x) = 0*x**2 - x**2 + 2*x**2 - x**3 + 3*x - 3. What is the remainder when s(-3) is divided by w?
11
Let c = 1 - 2. Let z(x) = -9*x + 3. Let v(q) = -1. Let n(t) = c*z(t) - v(t). What is the remainder when n(5) is divided by 22?
21
Let l = -16 - 5. Let q = l + 5. Let o = -9 - q. What is the remainder when 13 is divided by o?
6
Let r(l) = -10*l + 1. Let x be r(2). Let h = x - -35. Let j = -7 + 16. What is the remainder when h is divided by j?
7
Suppose -w + 2*w - 8 = 0. Let q(v) = -v**2 - 5*v - 1. Calculate the remainder when w is divided by q(-2).
3
Suppose -c = 3*r - 14, 5*r + 10*c - 5*c = 40. Suppose r*k + m - 6 = 0, 0 = k + 3*k + 4*m. What is the remainder when 3 is divided by k?
0
Let v(p) = -p + 5. Let o be v(3). Calculate the remainder when (-2 + 1)/(o/(-50)) is divided by 13.
12
Suppose 3*q = 6, -w = -3*q + q - 33. Calculate the remainder when w is divided by 1/2*-26*3/(-3).
11
Let l = 42 + -14. Calculate the remainder when (-18 + 0)*-3 + 3/3 is divided by l.
27
Let q(l) = -l**3 + l**2 + 2. Let z be q(-2). Let m = 12 + -10. Suppose -4*p - z = -4*h + p, -m*p = -3*h + 7. What is the remainder when 1 is divided by h?
0
Let w be 1/(-3 + 14/4). Suppose a - w*a = -10. What is the remainder when 17 is divided by a?
7
Suppose -3*l + 5*i = l - 74, -l = -i - 19. Suppose 0 = 5*j + o + 2*o - 72, 4*j = 2*o + 40. Calculate the remainder when l is divided by j.
9
Suppose 0*n = 4*n - 80. Calculate the remainder when n is divided by 7.
6
Let d(n) = 6*n**2 - 7*n**3 + 2*n - 3*n**2 + 1 - 2*n**2. Let s(w) = -w - 6. Let z be s(-5). What is the remainder when 13 is divided by d(z)?
6
Suppose 4*g - 83 = -23. What is the remainder when 5/(g/(-9)) - -33 is divided by 11?
8
Let x = 76 + -54. What is the remainder when 59 is divided by x?
15
Let b be -1 - (3 - -41) - -3. Let m = -46 - -30. Let d = m - b. Calculate the remainder when d is divided by 14.
12
Let x = -5 - -56. What is the remainder when x is divided by 18?
15
Let p be (5/(10/(-92)))/1. Let d = p - -66. What is the remainder when d is divided by 11?
9
Suppose -s + 17 = 8. What is the remainder when s is divided by 5?
4
Suppose -4*t + 3*t = -98. What is the remainder when t is divided by 25?
23
Suppose -l + 35 = -3*w, -5*w + 10 = -10. Calculate the remainder when l is divided by 10.
7
Suppose -5*b - 44 = -2*u, 5*u + 3*b = 4*u + 44. Let p = 46 - u. Suppose -t - 5*k = -16, -4*t + p = -6*k + k. Calculate the remainder when 17 is divided by t.
5
Suppose -31 + 1 = -5*j. Suppose 54 = 4*w - j. Calculate the remainder when w is divided by 10 + -1*4 + 2.
7
Let o = 14 - 11. Suppose 2*x + o*x = 80. Calculate the remainder when 45 is divided by x.
13
Let b(f) = -f**3 + 5*f**2 + 6*f + 4. Calculate the remainder when 14 is divided by b(6).
2
Calculate the remainder when 316/8*2 - (-4)/2 is divided by 28.
25
Let m be (0 - (0 + 3)) + 0. What is the remainder when 43 is divided by (2/m)/(4/(-90))?
13
Let o(h) = -h**3 + 10*h**2 + 2*h - 14. Calculate the remainder when 21 is divided by o(10).
3
Let o = 325 - 163. Suppose 3*v - o = -0*v. Calculate the remainder when v is divided by 19.
16
Suppose 55*s - 52*s = 99. Calculate the remainder when 129 is divided by s.
30
Let g = -84 + 115. Calculate the remainder when g is divided by 13.
5
Let b = 8 - 6. Suppose f + 9 = b*f. Let q(n) = n**2 + 10*n + 5. Calculate the remainder when f is divided by q(-10).
4
Let d(r) = -r**3 + 2*r**2 + 6*r + 4. Calculate the remainder when 43 is divided by d(3).
4
Suppose 5*c + 33 = d, 3*d + 7 = 2*d - 3*c. Calculate the remainder when 12/30 + (-68)/(-5) is divided by d.
6
Suppose -26 = 4*i + 50. Let m = -12 - i. What is the remainder when 13 is divided by m?
6
Let r = -20 - -38. Let p(b) = b**3 - 5*b**2 - b + 15. What is the remainder when r is divided by p(5)?
8
Suppose 6*m - 46 = 74. What is the remainder when m is divided by 16?
4
Let o(m) = -2*m**3 - 20*m**2 + 18*m + 17. Calculate the remainder when o(-11) is divided by 22.
17
Let q be (2 - 3)*(5 + -28). Calculate the remainder when q + 9/(-3) + 1 is divided by 11.
10
Suppose i + 0*d = -2*d + 27, -2*i - 5*d + 56 = 0. Calculate the remainder when i is divided by 9.
5
Calculate the remainder when (-1287)/(-27) + 2/6 is divided by 13.
9
Let a = 15 - 8. Let w(q) = -8*q + 0 + q**2 + 5 + a. What is the remainder when w(8) is divided by 7?
5
Let o be 2/(-2) + 282/2. What is the remainder when 4/(-2)*o/(-8) is divided by 12?
11
Let o(w) = -2 + 6*w + 3*w**2 - 4*w**2 + 8. Let s be o(5). Suppose -3*n + s = i, n + n - 6 = 0. Calculate the remainder when 6 is divided by i.
0
Let j(i) be the third derivative of 3*i**5/10 - i**4/8 - i**2. Let d be j(2). Suppose -m + d = m. What is the remainder when m is divided by 17?
16
Suppose -7*o - 66 = -10*o. Calculate the remainder when 86 is divided by o.
20
Let t(y) be the third derivative of y**4/12 - 2*y**3/3 - 3*y**2. Calculate the remainder when 18 is divided by t(7).
8
Let m = 67 + -57. What is the remainder when 34 is divided by m?
4
Suppose -6*a = -12 - 6. What is the remainder when (5*24)/a + -2 is divided by 20?
18
Let d = 43 + -63. Let f = -10 - d. Calculate the remainder when 18 is divided by f.
8
Let t(n) = n**3 - 13*n**2 + 13*n - 2. Calculate the remainder when 69 is divided by t(12).
9
Let b(r) = -3*r - 10. Let o = -17 - -7. What is the remainder when 57 is divided by b(o)?
17
Let i = 34 + -18. Let f(t) = -6*t**2 + 4*t**2 + 8*t**2 - 1 + 26*t**2. What is the remainder when f(-1) is divided by i?
15
Suppose -26*w + 24*w + 28 = 0. What is the remainder when w is divided by 9?
5
Let a(t) = -24*t - 1. Calculate the remainder when a(-1) is divided by 9.
5
Let k be 52/(-12) - 2/(-6). Let n = 0 - k. What is the remainder when 10 is divided by n?
2
Let w = -146 - -285. Let l = -95 + w. Suppose -c + 18 = d - 4*c, -3*d + 5*c + 50 = 0. What is the remainder when l is divided by d?
14
Let y(o) = 2*o**3 - 4*o**2 + o - 1. Suppose 3*g + 390 = 8*g. What is the remainder when g is divided by y(3)?
18
Suppose 0 = -5*n + 127 + 133. What is the remainde