*h, 2*v + 2*h = 8. What is the remainder when 5 is divided by v?
1
Let p(u) = u**3 + 4*u**2 - 5*u + 2. Let i be p(-5). Suppose -2*n + r = -27, -i*r = 3*r - 25. Calculate the remainder when 31 is divided by n.
15
Let f(l) = -l**2 - 4*l + 6. Let r = -17 + 21. What is the remainder when r/3*6/4 is divided by f(-5)?
0
Let f(u) = -u**3 - 3*u**2 + 2*u - 3. Let o be f(-4). Suppose -26 = -2*z + 2*j, 3*j + o = 17. What is the remainder when 33 is divided by z?
16
What is the remainder when 61 is divided by (-378)/(-24) - (-2)/8?
13
Let k(g) = -g**3 + 4*g - 3. Let d(p) = -p**3 + 7*p**2 - 8*p + 8. Let l be d(6). What is the remainder when k(l) is divided by 12?
9
Let c(l) = -1. Let v(p) = p. Let r(n) = -3*c(n) - v(n). Calculate the remainder when 14 is divided by r(-2).
4
Suppose -2 = p - 17. Calculate the remainder when (-2)/9 - (-3800)/90 is divided by p.
12
Let q be 4/((-2)/(8/(-1))). Suppose -2*j + 24 = 4*o - q, -j = -5*o - 13. Let y(m) = -13*m + 144. What is the remainder when y(7) is divided by j?
17
Let i(u) = u**3 - 8*u**2 + 6*u + 3. Let g be i(8). Suppose -11 = 5*j - g. What is the remainder when 0 + 0 + -2 - -16 is divided by j?
6
Suppose -4*a = 8, -597 = -7*q + 2*q - 4*a. Calculate the remainder when q is divided by 41.
39
Let c = -6 - -10. Suppose c*p - 88 = -d - 0*d, 2*d + 54 = 2*p. Calculate the remainder when p is divided by 12.
11
Suppose 3*s - 9 = 168. Calculate the remainder when s is divided by 12.
11
Let u(p) = p**3 - 8*p**2 - 5*p + 12. Let l be u(9). Let o = l + -19. What is the remainder when o is divided by 8?
5
Suppose -2*q + 0*q + 10 = 0. Calculate the remainder when 8 is divided by q.
3
Let q = 48 + -19. Calculate the remainder when q is divided by 10.
9
Let m = -25 - -46. Let i(r) = -r**2 + 4*r - 3. Let f be i(3). Suppose f = -x + 5 + 7. What is the remainder when m is divided by x?
9
Let x(o) = -3*o - 4. Let y(l) be the second derivative of -l**3/6 + 13*l**2 + 2*l. Calculate the remainder when y(11) is divided by x(-4).
7
Let k = -5 - -9. Let c be -2*(3 - 26/k). Suppose c = -2*o + 33. Calculate the remainder when 36 is divided by o.
10
Suppose -5*f - 65 = 2*b, 4*b + 0*b = 0. Let x = f - -26. Calculate the remainder when 50 is divided by x.
11
Suppose 0 = 5*m + g - 293, -m + g + 29 = -26. What is the remainder when m is divided by 21?
16
What is the remainder when 62 is divided by (1/(-2))/((-15)/330)?
7
Suppose -5*d = -1 - 4. Let x be d*(-4)/(-2)*1. Suppose 0 = -x*o + 143 - 25. What is the remainder when o is divided by 20?
19
Let u be (-45)/(-12) + (-2)/(-8). Suppose -4*z = -2*z - u. What is the remainder when 13 is divided by z?
1
Suppose -h = 2*h - 3*a - 690, -4*h - 2*a + 950 = 0. Let u = h - 143. Calculate the remainder when u is divided by 19.
16
Suppose -t - 2 + 6 = 0. What is the remainder when (14/(-8))/(2/(-16)) is divided by t?
2
Calculate the remainder when 21 is divided by ((-126)/(-49))/(6/28).
9
Let y(m) = -6*m**3 + 2*m - 1 - 3*m**2 - 3*m + 2*m**2. What is the remainder when y(-1) is divided by -1*1*3/(-1)?
2
Suppose -1 = -5*l + 9. Suppose -11 = l*v - 5*i, 3*v + 3*i - 43 = -v. What is the remainder when v is divided by 6/(-9) - 22/(-6)?
1
Let c = -7 + 9. Calculate the remainder when c/2 - (-3 + -6) is divided by 4.
2
Let l = -115 - -80. Let i(o) = 23*o + 1. Let x be i(-1). Let q = x - l. Calculate the remainder when 24 is divided by q.
11
Let v(i) = -i**3 + 5*i**2 + 3*i - 11. Calculate the remainder when v(5) is divided by 3.
1
Let f(h) = -h**3 - 6*h**2 - 6*h + 1. Let m(c) = -c**2 - 4*c + 5. Let g be m(-4). What is the remainder when 15 + (g - 6/2) is divided by f(-5)?
5
Let h = -26 - -35. Calculate the remainder when h is divided by 6.
3
Suppose -l = l + 18. Calculate the remainder when 28 is divided by 12 + (-6)/l*-3.
8
Let r be 2 - (-44)/(1 + -3). Let y = r + 38. What is the remainder when 51 is divided by y?
15
Suppose 7*q - 12*q = -115. Let o = -31 - -39. What is the remainder when q is divided by o?
7
Suppose 4*t - 196 = -2*h - 58, 4*h = 3*t - 131. What is the remainder when t is divided by 11?
4
Suppose y = 3*v - 68, 2*v + y + 2*y = 27. What is the remainder when 82 is divided by v?
19
Let m be (13/(-3))/(2/6). Let k = 21 - m. Calculate the remainder when k is divided by 18.
16
Suppose 3*j - 5*r = 68, -4*j + 52 = r + 2*r. Suppose j = x + 3*x. Suppose -3*w + 26 = 5*o - 26, 20 = x*o. Calculate the remainder when 26 is divided by w.
8
Suppose 5*j - o - 57 = 24, -44 = -3*j - 4*o. What is the remainder when 27 is divided by j?
11
Let i = 42 - 21. Calculate the remainder when i is divided by 12.
9
Suppose -5*m + 76 = 21. Suppose -4*b + 6*o = 5*o - 79, 0 = -2*b - 3*o + 43. What is the remainder when b is divided by m?
9
Let a = -96 + 66. Let p = a - -43. Calculate the remainder when 27 + (1 + -3)/1 is divided by p.
12
Let s = 32 + -15. Let y = -1 + 7. Calculate the remainder when s is divided by y.
5
Let t = 114 - 77. Let u(p) = -3*p**3 + 4*p + 3. What is the remainder when t is divided by u(-2)?
18
Let x(y) = 2*y**2 + 3*y + 2*y**3 - 3*y**2 - 2 + y**2 - 4*y**2. What is the remainder when 14 is divided by x(2)?
2
Let o = -2 + 10. What is the remainder when 21 is divided by o?
5
Suppose -4*k + 5*t - 28 = 0, 5*k + t = -8 + 2. Let w(x) = -6*x**3 + 3*x**2 + 2*x - 1. Calculate the remainder when w(k) is divided by 14.
13
Let z = -7 - -16. What is the remainder when z is divided by 6?
3
Suppose 3*t - 6 = 3*s - 18, -s = 5*t - 16. Calculate the remainder when -6*(1 + (-8)/6) is divided by (3/s)/((-4)/(-8)).
0
Let d = -18 + 38. Calculate the remainder when d is divided by 11.
9
Suppose 3*x - 7 = 2. Suppose x*o + 0 = 6. Suppose 0 = -4*w - o*k + 10, 4*w + k - 4*k - 25 = 0. What is the remainder when 11 is divided by w?
3
What is the remainder when (2 + (-8)/3)*(-318)/4 is divided by 18?
17
Suppose -6*b = -3*b - 6. Suppose b*l = -4*m + 18, 4*l = -l + 5. Suppose 0 = -2*z + 5*w + 52, -z + w + m = 4*w. What is the remainder when 62 is divided by z?
14
Let f = 160 + -2. What is the remainder when f is divided by 20?
18
Suppose 2*t - 3*i - 123 = 0, t - 279 = -4*t - 2*i. What is the remainder when t is divided by 29?
28
Let q be 3/((-2)/((-352)/6)). Suppose 0*g - q = -4*g. Calculate the remainder when g is divided by 8.
6
Let k = 17 - -1. Calculate the remainder when 52 is divided by k.
16
Let f = 21 - 18. What is the remainder when 7 is divided by f?
1
Suppose 0 = -3*l - 3*n + 15 + 3, -l + 8 = 2*n. Suppose -3*k - 2*d + 30 = 0, l*d - 32 - 4 = -3*k. Calculate the remainder when 37 is divided by k.
5
Let u be (12/2)/(3 + -1). Suppose u*d = 7*d - 132. Calculate the remainder when d is divided by 279/18 - (-6)/4.
16
Suppose -2*y = -0*y + 10. Let o = 7 + y. Suppose 0 = 2*f - g - 4*g - 47, -o*g = 5*f - 74. Calculate the remainder when f is divided by 9.
7
Let o be (-20)/(-2) + -2 - 3. Let n(x) be the third derivative of x**4/12 - 2*x**2. Calculate the remainder when n(o) is divided by 4.
2
Let y(c) = -12*c - 5. What is the remainder when y(-2) is divided by 8?
3
Let p = 2 + 26. Calculate the remainder when p is divided by 4 + -2 + 12 + 1.
13
Let b = -1 - -3. Suppose -16 = -b*i + i. Let w = 13 - -17. What is the remainder when w is divided by i?
14
Let h(r) = 3*r**2 - 3*r - 4. What is the remainder when h(-2) is divided by 8?
6
Suppose g + g = 0. Let o = g + 7. Let v(w) = w**2 + 6*w + 4. What is the remainder when o is divided by v(-6)?
3
What is the remainder when 15 is divided by (-4 + 48/9)*3?
3
Let z(c) = c**3 + 6*c**2 - c. Calculate the remainder when z(-5) is divided by 8.
6
Suppose -2*g + 5*g = 39. What is the remainder when (-2)/6*4*-18 is divided by g?
11
Suppose 0 = 5*z + 6 + 4, 5*a - 695 = 5*z. What is the remainder when a is divided by 14?
11
Let p(n) = 5*n + 4. Suppose 0 = -2*j - 0*j - 4, -4*j + 8 = 4*c. Calculate the remainder when p(6) is divided by 49/c - (-2)/(-8).
10
Let a(d) = 14*d + 3. What is the remainder when 1*-5*33/(-5) is divided by a(1)?
16
Suppose 0 = 6*d - 210 - 108. Calculate the remainder when d is divided by 28.
25
Let m = 29 - 20. Calculate the remainder when m is divided by 2.
1
Let l(z) = 3 - 3 + 6*z - 10. Let w(k) = 5*k - 9. Let y(g) = 3*l(g) - 4*w(g). Calculate the remainder when 46 is divided by y(-5).
14
Let s = 12 + -7. Suppose 31 = 2*t + z, -s*t + 2*z = -z - 83. Calculate the remainder when 4/