.
8
Let s(t) = -t**3 + 2*t**2 + 2*t + 2. Let h = 47 + -21. What is the remainder when h is divided by s(-2)?
12
Let p(r) = -2*r**2 - 4*r + 1. Let t be p(4). Let v = t - -34. What is the remainder when 2 - (v - -2 - 1) is divided by 8?
6
Suppose -54 = -w + 7*w. What is the remainder when 26 is divided by (-9)/(w/8) + 1?
8
Let h = -6 + 6. Suppose -u + 5*v - 4 = 6, h = -2*u + 2*v + 20. Calculate the remainder when 29 is divided by u.
14
Let k(h) = 4*h**2 - h. Suppose 4*d = 2*x - 2, 2*d + 10 = 4*x - 0*x. Calculate the remainder when k(x) is divided by 12.
9
Let b(j) = j**2 - j + 27. Let n be b(0). Let m = -8 - -11. Suppose -2*p + m*t = -n, 0 = 3*p - 0*t + 5*t + 7. What is the remainder when p is divided by 3?
0
Suppose 0 = v - 2 - 0. Calculate the remainder when 5 - 1 - (-1)/(-1) is divided by v.
1
Suppose 2*u + 2*u = 20. Suppose -u*b + 4*b + 8 = 0. Calculate the remainder when 12 is divided by (-2 + 4)*28/b.
5
Let d(k) be the third derivative of 1/60*k**5 + 0*k + 0*k**3 - 1/6*k**4 + 0 + 3*k**2. Calculate the remainder when 7 is divided by d(5).
2
Let y = 52 + -17. Calculate the remainder when y is divided by 13.
9
Let o be 0/((-4)/2) - -5. Suppose o - 1 = d. Calculate the remainder when 5 is divided by d.
1
Let q(z) = -z + 32. Calculate the remainder when 76 is divided by q(12).
16
Suppose -x = -2*x + 5. Suppose -3*c + 5*o + 176 = -0*c, x*c - 252 = -2*o. Calculate the remainder when c is divided by 18.
16
Suppose 2*w - w - 5 = 0. Let m = 15 + -12. What is the remainder when w is divided by m?
2
Suppose 0 = -4*k - 53 + 141. Calculate the remainder when k is divided by 3.
1
Let s be (-6)/((-28)/(-40) - 1). Suppose 2*w - s + 0 = 0. What is the remainder when 38 is divided by w?
8
Suppose -3*q - 27 = 2*x - 6, q = -5*x - 46. Let c(r) = r**3 + 9*r**2 - 3*r - 12. Let k(v) = v**2 + 3*v + 5. What is the remainder when c(x) is divided by k(-4)?
6
Let r be (-4 - -5)/((-2)/(-34)). Let l = 173 - 123. What is the remainder when l is divided by (-1)/(2 + (-35)/r)?
16
Let j(v) = v**3 - 4*v**2 + 4*v + 1. Let g(l) = -2*l - 8. Let h = 7 - 14. What is the remainder when j(4) is divided by g(h)?
5
Suppose 4*l - 130 = -34. What is the remainder when l is divided by 13?
11
Suppose 3*j = 1 + 11. Suppose b = 34 - j. Calculate the remainder when b is divided by 17.
13
Suppose -11*p - 132 = -935. Calculate the remainder when p is divided by 38.
35
Calculate the remainder when 3 + (3 - -6*14) is divided by 23.
21
Suppose -u - 30 = -3*l - 4*u, -5*u = -4*l + 13. Let b = -3 + 8. What is the remainder when l is divided by b?
2
Suppose 0 = 5*h + 2*s - 754, 0 = 2*h - h - 3*s - 144. What is the remainder when h is divided by 38?
36
Suppose 3*g - 34 = -5*f, -2*f + 5*g + 0*g + 26 = 0. Suppose -2*b = -m - 7*b - 22, -20 = 4*b. Calculate the remainder when f is divided by m.
2
Calculate the remainder when 46 is divided by 24/(-8)*-8*1.
22
Let c(t) = t + 1. Let q be c(0). Suppose q + 5 = p. Let m = p + -1. What is the remainder when 8 is divided by m?
3
Let x = 38 + -24. What is the remainder when (-130)/3*(-12)/10 is divided by x?
10
Let f = -25 + 36. Calculate the remainder when f is divided by 5.
1
Let b = 10 - 10. Let x(y) = 4*y**3 + y**2 - 2*y + 1. Calculate the remainder when x(1) is divided by (2 - b)*(-12)/(-8).
1
Suppose -d + 3 = 0, 4*d - 6 = -r + 3*d. Suppose -6 = -3*w, r = o + 2*w - 2. Calculate the remainder when 10 is divided by o/((-1)/(-6) - 0).
4
Suppose 10*s - 5*s = 50. What is the remainder when 27 is divided by s?
7
Suppose -2*z - 4 = 0, 2*q - 2*z - 14 = 12. Let f = q + -4. What is the remainder when 20 is divided by f?
6
Let y be (-450)/117 + 2/(-13). What is the remainder when 2/(-8)*y*15 is divided by 8?
7
Calculate the remainder when -4 + (3 - 4 - -81) is divided by 13.
11
Suppose -1 = -q, -4*q - q + 18 = b. Calculate the remainder when 76 is divided by b.
11
Let m(i) = -i**3 + 5*i**2 + 7*i - 2. Let k be m(6). Let n be (2/k - -1)*2. Suppose -80 = -2*y - n*y. Calculate the remainder when y is divided by 9.
7
Suppose -4*u + 236 = 4*a, u + 0*u + 4*a = 44. What is the remainder when u is divided by 18?
10
Let l = 7 + -2. Calculate the remainder when 17 is divided by l.
2
Suppose 0 = 2*g - g + 2*x - 22, 0 = 5*g - 4*x - 124. What is the remainder when (20/(-6))/(3/(-9)) is divided by g/(5 + -2) - 2?
4
Let j(t) = -t + 1. Let y be j(6). Let p = y + 14. Calculate the remainder when p is divided by 5.
4
What is the remainder when 32 is divided by 6/4 + (-30)/(-4)?
5
Let w(z) = z**2 + 5*z + 4. Let s be w(-3). Let r(v) = 2*v**2 + 9*v + 2. Let c be r(-6). Let f = c + s. Calculate the remainder when 34 is divided by f.
16
Suppose 0 = 2*q - 4 - 4. Suppose -q*y + 0*l + 3*l + 58 = 0, 0 = 3*y - l - 41. Calculate the remainder when 51 is divided by y.
12
Let k = 2 - -2. Suppose -5*b = k*l + 50, 2*l + 23 + 1 = -3*b. What is the remainder when 29 is divided by (-5)/(l/48) - 1?
14
Let l(p) = 116*p + 4. Let v be l(3). Suppose z + 5*c = -2*z + v, -3*c + 6 = 0. Suppose 0*h - 3*h = -z. Calculate the remainder when h is divided by 13.
12
Let v = 21 - 5. What is the remainder when (3*-1)/((-15)/155) is divided by v?
15
Suppose 2*z + 0*z = 0. Suppose z = 2*q + y - 41, -5*y - 23 = -2*q - 0. Calculate the remainder when 56 is divided by q.
18
Let j(d) = d**3 - 5*d**2 - 3*d - 5. Suppose -4*i = 4*l - 16, -5*l - 3*i = -3 - 9. Suppose 0*v + v - 25 = l. What is the remainder when v is divided by j(6)?
12
Let w(y) = y - 4. Let g be w(5). What is the remainder when 12 is divided by 8*g - 10/10?
5
Let t(v) = -3*v - 6. Let n(a) = 2 - 4*a + a**2 + 4*a**2 - a**3 + 4*a**2. What is the remainder when n(8) is divided by t(-6)?
10
Let r = -99 - -162. What is the remainder when r is divided by 16?
15
Suppose -2*y + 59 = -95. What is the remainder when y is divided by 16?
13
Let k be 1/(2*(-3)/(-288)). Suppose 0 = -3*u + d + 94, 2*d + k = 3*u - 41. What is the remainder when u is divided by 17?
16
Let l = 0 + 3. Suppose 32 = 2*t - l*h, -3*t + 4*t + h - 6 = 0. What is the remainder when t is divided by 6?
4
What is the remainder when (-5)/45*3 + (-734)/(-6) is divided by 25?
22
Let n = 8 + -7. Let c = n + 2. What is the remainder when 49 is divided by (21 - (-1 + c)) + -2?
15
Let u = -48 - -83. What is the remainder when u is divided by 4?
3
Suppose 3*v + 2*v = 60. What is the remainder when 33 is divided by v?
9
Suppose -2*y = 2*y. Let j(k) = k**3. Let v be j(y). Let s = v - -1. What is the remainder when 2 is divided by s?
0
Let w = -11 - -10. Let k = -2 + 5. Let a = w + k. What is the remainder when 2 is divided by a?
0
Let v(a) be the third derivative of -a**5/60 - 7*a**4/24 + 5*a**3/6 + 3*a**2. Calculate the remainder when 29 is divided by v(-5).
14
Calculate the remainder when (-20)/30 + 316/6 is divided by 14.
10
Let i(u) = u**3 - 6*u**2 - 3*u + 2. Let w be i(6). Let n = 0 - w. What is the remainder when 46 is divided by n?
14
Suppose -2*w = -6*w + 128. Let k = -23 + w. Calculate the remainder when k is divided by 5.
4
Let g(s) be the third derivative of s**6/120 - s**5/6 + s**4/24 + 13*s**3/6 + 5*s**2. Calculate the remainder when g(10) is divided by 25/3 - (-1)/(-3).
7
Suppose -152 = -3*k + 34. Suppose 2*m - 68 = -5*z, -z + k = 3*m - 14. Calculate the remainder when m is divided by 13.
11
Suppose 5*b - 22 + 57 = 0. Let d = b - -11. Suppose -d*r = k - 137, r + 4*k = -k + 20. Calculate the remainder when r is divided by 12.
11
Let z = 37 + -27. What is the remainder when 28 is divided by z?
8
What is the remainder when 0 - 3/6*-14 is divided by 7 + 1 + 0 + -3?
2
Let n = 0 - -40. Suppose p = 0, -n = 5*s + 2*p - 6*p. Calculate the remainder when 108/s*(-2)/1 is divided by 14.
13
Let h(g) = -g**3 + 10*g**2 - 16*g - 8. Calculate the remainder when h(7) is divided by 15.
12
Let t(d) be the third derivative of d**5/60 + d**3/6 + 4*d**2. What is the remainder when t(-6) is divided by 13?
11
Suppose 5*o - 3*h = 36, -4*h = -5*o + 42 - 9. Let g(s) = -s. Let l(c) = 6*c - 6. Let i(b) = 5*g(b) + l(b). What is the remainder when 8 is divided by i(o)?
2
Let p = -38 + 75. What is the remainder when 145 is divided by p?
34
Let u(f) be the third derivative of f**4/24 + f**3/6 + f**2. Let j(w) = 20*w + 8. Let x(d) = j(d) - 12*u(d). Calculate the remainder when x(3) is divided by 11.
9
Let z(o) = 5*o. Let r be 8/(-6)*60