divided by (-2)/(-1) + (-1)/1 + 9.
9
Let f(l) = 6*l**2 + l - 2. What is the remainder when f(1) is divided by 2?
1
Let i(c) be the first derivative of 2*c**3/3 + 2*c**2 + 8*c + 2. Let t be i(6). What is the remainder when (-2)/(-8)*2*t is divided by 18?
16
Suppose 5*r - 41 = 54. What is the remainder when 113 is divided by r?
18
Let u(w) = 2*w**3 + 8*w**2 + 3*w - 2. Let t = -3 - -5. Let x = 5 - t. What is the remainder when u(-3) is divided by x?
1
Suppose -5*p = v - 29, -3*v + 4*p + 7 = -4. Calculate the remainder when 23 is divided by v.
5
Let w(i) = 35*i**2 - 2*i - 1. Let u be w(-1). Let a = u - 17. What is the remainder when a is divided by 11?
8
Suppose 46 = 4*p - 6. What is the remainder when (-783)/(-21) + 2/(-7) is divided by p?
11
Let b be 115*(-1 + 7/5). Suppose -2*n - b = -4*n. Let r(u) = 7*u**3 + u**2 + u - 1. What is the remainder when n is divided by r(1)?
7
Let a(h) = -h - 2. Let r be a(-4). Suppose 3*b - 7 - 4 = p, 7 = r*b - p. Calculate the remainder when 3 is divided by b + 5/((-15)/6).
1
Let h be 3/(-12) + (-13)/(-4). Suppose -h*q = 2*q + 5. Calculate the remainder when 20 is divided by (-11)/(-1 + (-1 - q)).
9
Suppose 8*f - 3*f = 0. Suppose f = -2*c + c - 5*y - 2, -3*c + 12 = -3*y. What is the remainder when c is divided by 1?
0
Let k(f) be the third derivative of f**6/120 + 2*f**5/15 + 7*f**4/24 + 7*f**3/6 - 4*f**2. What is the remainder when 11 is divided by k(-7)?
4
Let q(o) = 5*o**2 - 9*o + 13. Let y(n) = -2*n**2 + 3*n - 4. Let u(c) = -2*q(c) - 7*y(c). What is the remainder when 34 is divided by u(2)?
10
Let d = 227 - 150. Let f = -51 + d. What is the remainder when 50 is divided by f?
24
Suppose 0 = 3*o + 5 - 23. Let p = -34 - -47. Calculate the remainder when p + 1/((-1)/2) is divided by o.
5
Suppose 5*p = p + 12. Let l = 205 - 204. What is the remainder when l is divided by p/9 + 4/6?
0
Let a = -3 + 0. Let b = a - -8. Suppose 26 - 9 = y. Calculate the remainder when y is divided by b.
2
Let g(f) be the third derivative of -f**6/20 - f**5/60 - f**4/24 + f**3/6 - 2*f**2. Calculate the remainder when g(-2) is divided by 4/(-10)*80/(-2).
15
Let u = -7 - -3. Let z(p) = -2*p**3 - 7*p**2 - 7*p - 6. Suppose -4*w + 100 = 20. Calculate the remainder when z(u) is divided by w.
18
Suppose 2*n - 3 - 1 = 0. Suppose 2*i - 102 = -3*c, 0*c - c - 86 = -n*i. Suppose 0*r - 5*r = -i. What is the remainder when r is divided by 6?
3
Suppose 0*i - 20 = -4*i. Suppose -s + 21 - 6 = 0. Calculate the remainder when s is divided by i.
0
Let v = 27 - 26. Calculate the remainder when 2 is divided by v.
0
Suppose 0 = 4*g - 2*t - 74, -5*g + 91 = t - 3*t. Calculate the remainder when g is divided by 10.
7
Let a(w) = -3*w + 2. Suppose 4*s = -21 + 1. What is the remainder when 33 is divided by a(s)?
16
Let a(y) = 3*y**2 + 4*y - 3. What is the remainder when a(-4) is divided by 6?
5
Suppose 15 = -3*n, -w - 6*n = -4*n - 9. What is the remainder when w is divided by 7?
5
What is the remainder when 15 is divided by 4/((0 - (4 - 3)) + 2)?
3
Let w(x) = -2*x**3 + x**2 - x + 6. What is the remainder when 63 is divided by w(0)?
3
Let j(s) = -s**3 - 2*s**2 - 5*s - 1. Calculate the remainder when 112 is divided by j(-3).
20
Let t(b) = b**3 + 4*b**2 - 6*b + 2. Calculate the remainder when ((-36)/14)/(3/(-21)) is divided by t(-5).
4
Suppose -5*u = -4*i - 194, 3*u + 116 = 6*u - 2*i. Let k = u - 18. Suppose -4*h - 59 + k = -s, -141 = -5*s + 2*h. What is the remainder when s is divided by 14?
13
Let r = -12 + -3. Let x = 21 + r. Calculate the remainder when 10 is divided by x.
4
Let l(a) = -a**3 - 6*a**2 - 6*a - 4. Let r be ((-8)/10)/((-4)/(-20)). Let p be l(r). Let h = -4 - p. Calculate the remainder when 23 is divided by h.
7
Let z = 90 - 54. Let f = 62 - z. What is the remainder when f is divided by 14?
12
Suppose 2*t = -2 + 4. Let s be 2 - 3*(0 - t). What is the remainder when 30 is divided by (2/s)/(1/40)?
14
Let x(a) = -a + 3. Let s be x(6). Let u(r) = 7*r - 3. Let o be u(6). What is the remainder when 1 + s - (-2 - o) is divided by 20?
19
What is the remainder when 33 is divided by 656/56 - (-2)/7?
9
What is the remainder when 51 is divided by (-1 - 8/(-4)) + 18?
13
Let c = 4 - 2. Let u = 5 + c. Let a(g) = g - 3. Calculate the remainder when 10 is divided by a(u).
2
Let f(b) = b**2 + 12*b - 8. What is the remainder when 24 is divided by f(-13)?
4
Suppose 4*r - 2*r = 3*b - 5, 5*r - 19 = -3*b. Suppose 3*p - 21 = p - y, r*y - 15 = -p. What is the remainder when 26 is divided by p?
8
Let x = 15 + -8. Suppose 0*h - 2*h + 6 = 0. Calculate the remainder when x is divided by 3/((-18)/(-8))*h.
3
Suppose 4*l + 42 = p, -4*l + 33 = p - 5*l. What is the remainder when p is divided by 17?
13
Suppose 3*r = 5*j + 4*r - 45, 2*r = -j. Let t(n) = -n**3 + 5*n**2 + 5*n - 7. What is the remainder when t(5) is divided by j?
8
Let k = -35 + 56. Calculate the remainder when 104 is divided by k.
20
What is the remainder when 16/5*55/22 is divided by 5?
3
Let l(z) = -5*z**2 + 5*z + 3. Let y(f) = 7*f**2 - 8*f - 5. Let r(j) = -8*l(j) - 5*y(j). What is the remainder when 62 is divided by r(-2)?
20
Suppose 7*x - 460 = -3*x. Suppose 2*u - 10 = 0, -4*m - 14 = -u - 1. Let w = 10 - m. What is the remainder when x is divided by w?
10
Let s = -4 + 3. Calculate the remainder when 30 + -6 + (1 - s) is divided by 14.
12
Let i(y) be the second derivative of -11*y**3/6 - 2*y**2 + y. What is the remainder when i(-3) is divided by 8?
5
Suppose 9*g = 4*g + 5*w + 125, 4*w + 19 = g. Let d = g - 14. What is the remainder when d is divided by 7?
6
Suppose w = 2*s - 54, w + 61 + 51 = 4*s. What is the remainder when s is divided by 11?
7
Suppose 2*g - 2*w - 130 = 0, 0 = 2*g - 5*w - 27 - 109. Let k(v) = -v**3 - 6*v**2 - 5*v - 8. What is the remainder when g is divided by k(-6)?
19
Let i = 28 + -17. What is the remainder when 19 is divided by i?
8
Let o be (-16)/20*125/(-2). Let i = o - 30. Let x = -46 + 53. What is the remainder when i is divided by x?
6
Suppose 4*v + c = -v + 7, 3*v = 4*c - 5. Let t be (-1 + 1)*(0 + v). Suppose 4*f + t*h - 67 = 3*h, 5*f - 85 = 5*h. What is the remainder when f is divided by 6?
4
Let u(v) = 58*v**2 + 2*v + 1. Calculate the remainder when u(-1) is divided by 15.
12
Let a be 15/(-5) + (-1 - -1). Suppose -3*p = 4*n - 118, 2*n + 74 + 120 = 4*p. Calculate the remainder when p is divided by a + -1 + 48/3.
10
Let s(f) = f**3 - 7*f**2 - 5*f - 10. Let n be s(8). Suppose -2*l - n = 6. Let h = l - -27. Calculate the remainder when 65 is divided by h.
14
Let r(x) = 26*x**3 + 2*x - 1. Let y be r(1). Suppose -2*c + 10 = 0, 2*c = -t + y + 32. What is the remainder when t is divided by 17?
15
Suppose 3*a - 2*l = -5*l + 39, -3*l + 50 = 4*a. What is the remainder when 32 is divided by a?
10
Let b(z) = 2*z**2 - z - 4. Calculate the remainder when 65 is divided by b(-3).
14
Suppose -5*d - 2*h + 355 = 0, d + 3*h - 131 = -d. Calculate the remainder when d is divided by 39.
34
Let z = -97 + 146. Calculate the remainder when z is divided by 10.
9
Suppose -134 = -3*d - 2*f + 4*f, -f - 46 = -d. Calculate the remainder when d is divided by 16.
10
Let b(u) = -u**3 - 4*u**2 + 2*u + 1. Let k(f) = f**2 + 4*f - 5. Let a be k(-4). Let j be b(a). Let y = 24 - j. Calculate the remainder when 23 is divided by y.
7
Let w(p) = -p**3 + 11*p**2 - 17*p - 1. Suppose -2*s + 4*t = -48, -s - 4*t + 1 - 7 = 0. Calculate the remainder when s is divided by w(9).
6
Let y(o) = -3*o**2 + 5 + 0*o**2 - 6 + 2*o + 2*o**3. Calculate the remainder when y(2) is divided by 4.
3
Suppose -3*u = -7*u + 24. What is the remainder when 26 is divided by (-4)/12 + 44/u?
5
Let h(c) = -2*c + 6*c**2 + c**2 - 4 + c**3 + c**2 - 4*c**2. What is the remainder when 31 is divided by h(-3)?
9
Suppose -46 = -2*l - k, -l + k + 20 = -0*k. Suppose 74 = 4*s + l. Calculate the remainder when s is divided by 4.
1
Let g(i) = 2*i**2 + 7*i + 3. What is the remainder when g(-7) is divided by 18?
16
Let t = -6 + -12. What is the remainder when 55 is divided by (24/t)/((-2)/21)?
13
Let w(n) = n + 1. Let c be w(0). Let l = c - -5. Calculate the remainder when 22 is divided by l.
4
Suppose s - 4*f = 43, f + 60 = -3*s + 215. Let a = s + -29. Calculate the remainder when a is divided by (-40)/(-5) + (-1 - -1).
6
Suppose 5*g - 2*d = 273, 2*g - 5*d + 33 = 3*g. Calculat