?
2
Let u(k) = -k**3 - 8*k**2 - 6*k + 25. Calculate the remainder when 287 is divided by u(-7).
17
Suppose 65 = 5*g + 2*o - 168, -4*g + 191 = -3*o. Calculate the remainder when g is divided by 8.
7
Let k(f) be the first derivative of -f**3/3 + 11*f**2/2 - 2*f - 1. Calculate the remainder when 3/((-3)/(-30)*2) is divided by k(10).
7
Suppose 2*t + t - 18 = 0. What is the remainder when 33 is divided by (t/(-5))/(2/(-15))?
6
Let k(d) = d. Let b be k(13). Let m = b + -4. Calculate the remainder when 43 is divided by m.
7
Suppose 4*w - 4 = 2*s + 6, 0 = -3*s - 3*w - 42. Let r = 28 + s. Calculate the remainder when 33 is divided by r.
16
Let d = -20 + 34. Let j = 322 + -110. Suppose 0 = -4*a + j - 48. Calculate the remainder when a is divided by d.
13
Let y = 0 - -1. Let h = y + 0. What is the remainder when 1 is divided by h?
0
Suppose 2*k - g = -6*g - 61, 0 = 3*k - g + 49. Let y = 48 + k. Let f(c) = c**3 - c**2 - 2. What is the remainder when y is divided by f(3)?
14
Let c = 80 + -50. Let g(v) = v**2 - 2*v. What is the remainder when c is divided by g(-2)?
6
Suppose 2*c - 23 = 4*p - p, -c + p + 13 = 0. Calculate the remainder when 2/(-7) + 212/7 is divided by c.
14
Let t = -80 - -154. What is the remainder when t is divided by ((-1)/1)/(((-4)/(-4))/(-19))?
17
Let k = 66 - 42. Calculate the remainder when k is divided by 14.
10
Suppose -4*q = 2*k - 22, -2*k = q + 1 - 2. Let p be -1 + -2*7/(-2). Suppose 4*n - 4*m = 28, -m + 9 = -3*n + p*n. Calculate the remainder when q is divided by n.
3
What is the remainder when (2/(-4))/(6/(-36)) is divided by 2?
1
Let i be 70/4*(-28)/(-35). Let s = -9 - -18. Let h = i - s. What is the remainder when h is divided by 3?
2
Suppose -5*l + 31 = f, -l - 2*l - 183 = -5*f. Suppose 2*h - f = -8. Calculate the remainder when 26 is divided by h.
12
Suppose 2*s = 4*s - 30. What is the remainder when s is divided by 8?
7
Let l be -5 - (0/3 + 1). Let o be 100/l*(2 + -5). Suppose 4*u - b = o + 35, 2*b = -u + 10. What is the remainder when u is divided by 7?
6
Let m = 13 + -7. Let y = 35 + -20. Calculate the remainder when y is divided by m.
3
Suppose 3*x - 37 = -g + 73, 0 = 3*x - 2*g - 104. Calculate the remainder when x is divided by 11.
3
Let o(u) = 4*u - 1. Let k be o(2). Calculate the remainder when 25 is divided by (-8)/(-4)*k/2.
4
Suppose 3*p - 134 - 52 = 0. Calculate the remainder when p is divided by 9.
8
Suppose 4*p + 95 - 284 = 5*y, -y = 3*p - 156. What is the remainder when ((-4)/6)/((-2)/p) is divided by ((-1)/3)/((-2)/54)?
8
Let b(r) be the first derivative of r**4/4 + r**3 + r**2/2 + r + 1. Let j be b(-2). Let g = 9 + j. What is the remainder when 23 is divided by g?
11
Let z(y) be the third derivative of 5*y**4/24 + y**3/6 - 3*y**2. Calculate the remainder when z(9) is divided by 12.
10
Let q be (-168)/(-9)*(-3 + 0). Suppose 0 = 2*s - 4*h, -4*h - 16 = -3*s - 2*h. What is the remainder when ((-6)/12)/(2/q) is divided by s?
6
Let y be (15*6/9)/1. Suppose -3 = -d - 0. Let s = y - d. Calculate the remainder when s is divided by 3.
1
Let q(n) = n**2 - n + 58. Calculate the remainder when q(7) is divided by 23.
8
Suppose 0 = 4*p + z + 4*z - 18, -2*p - 2*z = -8. Calculate the remainder when 3 is divided by p.
1
Let n be 948/(-28) + 2/(-14). Let s = n - -57. Calculate the remainder when s is divided by 6.
5
Let s(z) = 29*z**2 - z - 2. Let b be s(2). Suppose -2*a = 2*o - 68, 5*o = -0*a + 5*a + 170. What is the remainder when o is divided by 1/(-3) - b/(-12)?
7
Suppose -7*n + 20 = -3*n. Suppose 73 = 3*a - 3*s + 2*s, n*s - 72 = -4*a. Let q = 28 + -16. Calculate the remainder when a is divided by q.
11
Suppose 0 = 2*u - 4*a - 52, 0 = -u + 2*u + 4*a - 8. Calculate the remainder when 39 is divided by u.
19
Let f(o) = o**3 - 9*o**2 + 9*o - 5. Let k be f(8). Suppose 0 = -2*b - 6, 8*b = 2*h + k*b - 157. What is the remainder when h is divided by 18?
17
Suppose -2*o - 3*o = 5. What is the remainder when 30 is divided by -33*((-12)/9 - o)?
8
Let d = -31 + 58. What is the remainder when d is divided by 15?
12
Let u(r) = 3*r**3 - r**3 + 0*r - 3*r**2 + 2*r. Suppose -3*p - 3*v - 7 = v, 0 = p + 4*v + 13. Calculate the remainder when u(2) is divided by p.
2
Let l be (-6)/9*(-350 + -4). Suppose -4*s = 4*q - l, 287 = 5*q + 2*s - 2. Calculate the remainder when q is divided by 20.
17
Suppose -5*x + c = -c - 122, 14 = x - 3*c. Calculate the remainder when 99 is divided by x.
21
Suppose t - 4 = 4*b, 16 = 4*b + 3*t + 4. Suppose 2*o = -b*o + 4. Suppose l - o*l = -15. Calculate the remainder when l is divided by 8.
7
Calculate the remainder when 12 is divided by (2 - 1) + (-24)/(-12).
0
Let s = 330 - 193. Calculate the remainder when s is divided by 35.
32
Suppose -8 - 17 = -5*j, -2*r - 117 = -3*j. Let c = 74 + r. Suppose w + 4*m + 2 = c, 3*m = -4*w + 32. What is the remainder when 19 is divided by w?
4
Let v(p) = -p**2 - 8*p - 9. Calculate the remainder when 48 is divided by v(-4).
6
Suppose 0 = 5*j - 4*d - 14 - 0, 0 = -3*d - 3. Let r(h) = -h**2 - 7*h - 8. What is the remainder when r(-5) is divided by j?
0
Let g(v) = v**2 - 7. Let a be g(-5). Let m = a + -13. Calculate the remainder when -2 + m/((-15)/(-114)) is divided by 19.
17
Let t = -2 + 1. What is the remainder when 2/6*(t - -16) is divided by ((-1 + 2)*6)/2?
2
Suppose 0*q = q - 3*f - 6, 8 = 3*q - 4*f. Suppose q*t = -t + 12. What is the remainder when 22 is divided by t?
10
Let m = -5 + 50. Calculate the remainder when 132 is divided by m.
42
Let u be 30/(-1 + 5/2). Let f = 29 - u. What is the remainder when 26 is divided by f?
8
What is the remainder when 123 is divided by 17 + 0 + (2 - 1)*-3?
11
Suppose -5*i = -19 - 26. Calculate the remainder when 62 is divided by i.
8
Let w = 5 - 5. What is the remainder when (7 - (-3 + 1)) + 1 is divided by w + 5 + 0 + -1?
2
Let r(w) = 2*w + 2. Let v be r(-2). What is the remainder when 2/(-1) - (v - 29) is divided by 10?
9
Suppose -n + 33 = -5*v, -4*v + 54 = 4*n - 6. Let k = -1 + 1. Suppose 3*y + k*y = 105. What is the remainder when y is divided by n?
17
Suppose 4*n - 31 = 109. What is the remainder when n is divided by 9?
8
Suppose -27 = -9*l + 54. Calculate the remainder when l is divided by 7.
2
Let l(u) = u + 11. Let o = -2 + 4. Suppose 0 = o*a - 3*a + 17. Calculate the remainder when a is divided by l(-5).
5
Let i = -49 - -83. Suppose -9 = 7*v - 8*v. Calculate the remainder when i is divided by v.
7
Let j be -1 - -6 - 0/1. Suppose 2*h = 11 + j. What is the remainder when 14 is divided by h?
6
Suppose 5*j + 34 + 156 = 5*h, 5*j = -4*h + 125. What is the remainder when 66 is divided by h?
31
Suppose -m + 4 = -0*m. Suppose -4*o - m*y + 8 = 0, -3*y + 10 + 3 = 4*o. Calculate the remainder when 18 is divided by o.
4
Let f = -51 - -104. Let m(l) = -8*l - 36. What is the remainder when m(-11) is divided by f/3 + 2/6?
16
Calculate the remainder when (2 - (-387)/(-6))*80/(-50) is divided by 26.
22
Let m = 14 - 2. What is the remainder when 23 is divided by m?
11
Suppose 2*p - 4 = p. Let o(i) = i - 1. Calculate the remainder when o(11) is divided by p.
2
Let k be (-8)/(-12)*(-42)/(-4). Suppose 0 = -q - 5*x + 20, q - 3*x = -2*q + 150. Suppose -k*i + 10*i = q. Calculate the remainder when 59 is divided by i.
14
Let s be ((-6)/(-4))/(6/112). Suppose 4*r + 2*d = 102, -3*r + 92 = -4*d - 1. What is the remainder when r is divided by 5*(s/10 + 0)?
13
Suppose -2*d + 11 - 3 = -4*r, -3*d - 3*r + 12 = 0. Let l be (-2)/5 + 76/(-10). Let c = 3 - l. What is the remainder when c is divided by d?
3
Let x(c) = 29*c + 11. Calculate the remainder when x(2) is divided by 35.
34
Suppose 0 = -f + 2*f - 30. Suppose -3*v - 6 = 2*w - 3*w, 5*v = -5*w + f. Calculate the remainder when (-22)/(-4)*8/4 is divided by w.
5
Let n = -8 + 6. Let c be 1/1 - (-10)/n. What is the remainder when 64 is divided by c/18 + (-800)/(-36)?
20
Let n(q) = -q**3 - 8*q**2 + 6*q - 12. Calculate the remainder when n(-9) is divided by 4.
3
Let i(n) = n**3 - 10*n**2 + 4*n + 1. What is the remainder when 81 is divided by i(10)?
40
Let m be 119/3 + 1/3. Let o = -14 + m. What is the remainder when o is divided by -2*2*(-9)/4?
8
Suppose -c + 4*c - 9 = 0, 2*s + c = -1. Let j(h) = 7*h - 4. Calculate the remainder when j(5) is divided by (-21)/s + (-2)/(-4).
9
Suppose 11 = 2*k + 5*o - 8, 2*o = -3*k + 12. Sup