when i is divided by 12.
5
What is the remainder when -3 + 48/15 - (-796)/20 is divided by 14?
12
Let y(j) = -j**2 + 5*j - 4. Let u be y(4). Let n = 2 + u. Suppose -a + 5*b + 21 = -4, 0 = 2*b + 8. Calculate the remainder when a is divided by n.
1
Suppose -3*d = -8*d + 205. What is the remainder when d is divided by 15?
11
Let u(c) = -13*c - 10. What is the remainder when 113 is divided by u(-3)?
26
Let c(n) be the second derivative of 3*n**5/20 - n**4/12 + n**2/2 + 2*n. Let p be c(1). What is the remainder when 22 is divided by 8*1*(-2 + p)?
6
Suppose -1 = -5*v - 6. Let g = 1 - v. What is the remainder when g is divided by 1?
0
Let u be -1 - 0 - (-2 + -3). What is the remainder when 26 is divided by 5 + (20/u - 3)?
5
Let w(y) = -y**3 - 6*y**2 - 5*y - 12. Calculate the remainder when 52 is divided by w(-6).
16
Suppose -5*d - 2*y + 730 = 258, 2*d = -5*y + 193. Calculate the remainder when d is divided by 32.
30
Suppose 0 = 16*n - 12*n - 268. What is the remainder when n is divided by 34?
33
Suppose -c - 5 = 4*c. Suppose 0 = -2*t - 2*t + 56. What is the remainder when c/((5/t)/(-5)) is divided by 5?
4
Suppose -2*k - 3*k = -10. Suppose m = -0*w - 2*w + 46, k*m + 5*w = 88. Let u = -35 + m. Calculate the remainder when u is divided by 10.
9
Let s = 16 - 8. Suppose 4*x - 52 = -2*r + s, 5*r - 118 = -2*x. What is the remainder when r is divided by 8?
6
Suppose -7*w - 2*d + 12 = -3*w, 4*d - 15 = -5*w. Suppose -4*r - 33 = -7*r. What is the remainder when r is divided by w?
2
Suppose -11 = -k + 5. What is the remainder when 29 is divided by k?
13
Calculate the remainder when 0 + 34 + 8 + -9 is divided by 12.
9
Let c be (-57)/(-12) + (-3)/(-12). Suppose q + 5*p - 60 = 0, -2*q - 4*p + c*p = -153. Calculate the remainder when q is divided by 26.
23
Suppose -100 = -5*g + 45. Calculate the remainder when 84 is divided by g.
26
Let o(h) be the third derivative of -h**6/120 - h**4/24 - h**3/3 - 3*h**2. Let y be o(-2). What is the remainder when ((-30)/y)/((-9)/120) is divided by 13?
11
Let y(o) = 2*o**2 - 3*o + 4. Let c = 85 - 17. Suppose -4*w + c = -4*q, 2*q + 0 = -8. What is the remainder when y(4) is divided by w?
11
Suppose 4*p + 5*s = 31, 4*p - 3*s + 0 = 39. Calculate the remainder when (-4)/(-12) - (-47)/3 is divided by p.
7
Let c(k) = -2*k + 5. Let x be c(4). Suppose -45*g + 46*g - 50 = 0. What is the remainder when g is divided by ((-2)/x)/((-6)/(-153))?
16
Suppose 2*w - 12 = -5*o + 16, -2*o - 4*w = -24. What is the remainder when 210/o + 1/(-2) is divided by 14?
10
Let j = -1 + 1. Let z be (j*1/(-3))/(-1). Suppose z + 25 = 5*n. What is the remainder when 13 is divided by n?
3
Let i(s) = 2*s**2 - 7*s + 6. Suppose -y = -10*y + 351. What is the remainder when y is divided by i(4)?
9
What is the remainder when 4 is divided by ((-11)/(-44))/((-1)/(-4))?
0
Let c(j) = -3*j + 3*j - 1 + 3*j. Let q be c(-1). What is the remainder when 6 + 0/(q - -1) is divided by 4?
2
Suppose p - 140 = 5*p. Let g = p + 57. Suppose d + 36 = 4*d. Calculate the remainder when g is divided by d.
10
Let w(j) = j**3 - 11*j**2 + 2*j - 16. Let m be w(11). Suppose -4*z = -5*z + m. What is the remainder when 17 is divided by z?
5
What is the remainder when 3 - (-1 + -2 - 13) is divided by 1/(12/11 + -1)?
8
Suppose -2*h - 12 + 40 = 0. Let l be (0 + -2)/((-1)/h). Suppose -36 = -z + 4*u, z - 3*u = 3*z - l. Calculate the remainder when 39 is divided by z.
19
Let c be ((-2)/6)/((-1)/15). Suppose 4*h - 4*p + 7 + c = 0, 2*p = -2*h - 2. What is the remainder when (h/(-5))/(1/175) is divided by 24?
22
Let h(i) = i**3 + 6*i**2 + 4*i + 3. Suppose 0*a + 2*a = 8. Let c = a + -8. What is the remainder when 37 is divided by h(c)?
18
Suppose 4*t + 58 = 2*v, 29 = v - 3*t + 4*t. What is the remainder when 172 is divided by v?
27
Suppose -l + 6*l = 35. What is the remainder when 54 is divided by l?
5
Let h(v) = -v**3 - 4*v**2 - v + 1. Suppose -4*j - 12 = -0*j. Let w be h(j). Let m = w - -7. What is the remainder when 3 is divided by m?
1
Let n(y) = -y**3 - 9*y**2 - 11*y - 11. Suppose 0 = -2*c + 4*o, -4*c - 33 - 11 = 3*o. What is the remainder when n(c) is divided by 5?
3
Calculate the remainder when 53 is divided by (-477)/(-45) + 4/10.
9
Suppose -3 = -2*d + d. Suppose -d*i + 2*i + 53 = 0. Let h = i - 16. What is the remainder when h is divided by 13?
11
Suppose -2*b + b = -2. Suppose 0 = -4*m - s + 9, -4*m + 12 = -b*m - 2*s. Suppose -7 = -2*l + m. What is the remainder when 13 is divided by l?
3
Let c(m) = m**2 - 4*m - 7. Suppose t = -4*v + 55, -5*t + 168 = v - 31. Calculate the remainder when t is divided by c(7).
11
Let k = 15 + -3. Let y = 60 + -26. Calculate the remainder when y is divided by k.
10
Let s = 4 + 19. Let n = 37 + -25. Calculate the remainder when s is divided by n.
11
Let z = 78 - 29. Calculate the remainder when z is divided by 35/2 + (-3)/18*3.
15
Suppose 135 = 5*c + 40. Calculate the remainder when 74 is divided by c.
17
Let h be 4/(-12)*-1*354. Let l = 187 - h. What is the remainder when l is divided by 18?
15
Let g = -4 + 9. Suppose -4*k = 3*b - 61, -3*b = -6*b + g*k + 52. Suppose -4*j - 2*i + 200 = -28, 4*j - 214 = 5*i. What is the remainder when j is divided by b?
18
Let c(i) = -3*i**3 - 3*i**2 - i - 2. Let z = 120 + -41. Suppose 4*f - z = 57. Calculate the remainder when f is divided by c(-2).
10
Let j = -17 - -37. Calculate the remainder when 37 is divided by j.
17
Suppose -632 = -6*g - 128. What is the remainder when g is divided by 22?
18
Let x(o) = o**3 + 2*o**2 - 2*o - 2. Let l(u) = -u**2 + 7*u - 7. Let b be l(5). Calculate the remainder when x(b) is divided by 13.
11
Let c = 9 - -87. Calculate the remainder when c is divided by 11.
8
Let m(x) = x + 6. Let r be m(0). What is the remainder when (-2)/((-1)/(93/r)) is divided by (1/(-3))/(1/(-33))?
9
Let u(t) = t**3 + 4*t**2 - 6*t + 2. Suppose -2*j - 4*q + 6 = 0, -6*q = j - q - 3. Calculate the remainder when u(-5) is divided by j.
1
What is the remainder when 20 is divided by 39/6 + (-2)/4?
2
Let w(x) = 11*x - 9. What is the remainder when 137 is divided by w(4)?
32
Calculate the remainder when 6 is divided by 3*6/(-9) - -6.
2
Suppose 29 = s + 3*r - 8*r, -3*s + 3*r + 27 = 0. Let y(z) = s*z + 9*z**2 - 6*z - 4*z - z**3. What is the remainder when y(8) is divided by 6?
4
Let v(g) = -3*g**3 + 3*g**3 - g**3. Let d be (-1)/3 - 8/12. What is the remainder when 1 is divided by v(d)?
0
Suppose -5*j + 354 = 94. Suppose 3*s + 51 = 2*f - 2*s, 96 = 5*f - 2*s. Calculate the remainder when j is divided by f.
16
Let i(h) = h + 23. Calculate the remainder when i(7) is divided by 11.
8
Suppose -8*f = -7*f - 6. Calculate the remainder when 22/(-2 + 2 - -1) is divided by f.
4
Let g = -7 + 15. Calculate the remainder when 14 is divided by g.
6
Let v(k) = -k**3 + 5*k**2 - 8*k + 25. Suppose -109 = 4*m - 333. Calculate the remainder when m is divided by v(3).
18
Let c(p) = p**2 + 7*p + 2. Let o be c(-8). Let j = o - 5. Suppose j*w - 173 = -68. Calculate the remainder when w is divided by 12.
9
Let h(z) be the second derivative of z**4/12 + 5*z**3/6 + 3*z**2 - z. Let t = 4 - 0. Calculate the remainder when h(-5) is divided by t.
2
Suppose -z - 3*h + 8 = -2*z, -4 = 3*z - 4*h. Suppose z*d - d = 42. What is the remainder when 41 is divided by d?
13
Suppose 8*h - 10 = 6*h. Suppose 0 = z - h*z + 316. What is the remainder when z is divided by 16?
15
Let q be -1 - -2*(-3)/(-2). Suppose 3*h + 5 = t, -7 = q*t - h - 27. Let f(y) = 2*y**3 + 9*y**2 - 5*y + 4. Calculate the remainder when t is divided by f(-5).
3
Let y = 6 + -11. Let w(d) = d**3 + 4*d**2 - 4*d + 6. Calculate the remainder when w(y) is divided by 2/7 + 3/(-21)*-5.
0
Suppose -2*f = f. Let u = 6 - f. Let t(k) = k**3 - k**2 + 10. What is the remainder when t(0) is divided by u?
4
Let l = 140 + -90. Let n = 82 - l. What is the remainder when n is divided by 17?
15
Let o(a) = 3*a - 11. Let j(s) = 3*s + 4. Let k be j(3). Suppose 4*i - k = 19. Calculate the remainder when 51 is divided by o(i).
12
Suppose -4*o + 4*f = -93 - 11, -2*f - 2 = 0. Let v = 5 + -3. What is the remainder when o is divided by 7 - 5/((-5)/v)?
7
Suppose h - 185 = -3*i, 4*i - 111 = -5*h + 121. What is the remainder when i is divided by 13?
11
Suppose -y = -3 - 2. Calculate the remainder when y is divided by 2.
1
Suppose -6*t + 5*t