11
Let m(t) be the third derivative of -t**6/120 - t**5/15 + 5*t**3/6 + 4*t**2. What is the remainder when m(-4) is divided by 3?
2
Suppose 4*w - 28 = -u, 3*w + 2*w - 50 = -2*u. Suppose -h - 3*h - u = 0, x - 4*h - 63 = 0. What is the remainder when x is divided by 15?
13
Let q = 15 - 11. Suppose -3*c + q = g + g, -c = g - 4. Calculate the remainder when 14 is divided by g.
6
Suppose 16 = 36*d - 32*d. Let c(s) = 6*s**2 - 5*s + 4. Calculate the remainder when c(d) is divided by 27.
26
Suppose -17*w + 216 = -9*w. Suppose 0 = -3*k + 11 + 19. Calculate the remainder when w is divided by k.
7
Let l = 12 + 19. What is the remainder when l is divided by 11?
9
Let m(t) = -t**2 + 4*t + 9. Let a be m(7). Let b = a + 31. What is the remainder when b is divided by (10/40)/((-1)/(-28))?
5
Suppose -2*a - 8 = 2*m, 4*m + 17 = 4*a - 7. Calculate the remainder when a is divided by 1.
0
Let v = 22 - 19. What is the remainder when v is divided by 1?
0
Suppose p = -0*p + 122. Calculate the remainder when p is divided by 31.
29
Let x = -15 + 28. Let q(y) = -y**2 + 8*y - 4. Let j be q(7). Suppose -c = -j*c + 10. Calculate the remainder when x is divided by c.
3
Let l be 5/(20/156) - -3. Suppose l = 4*p - v, 0*p = -p - 4*v + 2. Let u = 62 + -23. What is the remainder when u is divided by p?
9
Let y = 13 + -29. Let f = y - -25. Calculate the remainder when f is divided by 5.
4
Let c(i) = -2*i + 3. Let y = -23 + 10. Let j = y - -8. What is the remainder when c(j) is divided by 5?
3
Suppose 9 = -8*l + 9*l. What is the remainder when 22 is divided by l?
4
Suppose -s = -0 - 13. Let n be (18/12)/((-6)/(-32)). Suppose -m - q = q - 10, 5*m - 4*q = n. Calculate the remainder when s is divided by m.
1
Let q = 25 - 10. Calculate the remainder when q is divided by 8.
7
Let h = 274 + -190. Suppose 299 = 5*u + h. Calculate the remainder when u is divided by 22.
21
Let j(l) = 3*l - 21. What is the remainder when j(10) is divided by 3?
0
Let o(r) = r**3 - 8*r**2 + 3*r - 8. Let w be o(8). Suppose -t - 3 = -w. Suppose 35 = 3*g + 2*g. Calculate the remainder when t is divided by g.
6
Let n(z) = -5*z**2 + 1. Let y be n(1). Let i be ((-26)/y)/((-2)/4). Let q = i - -18. Calculate the remainder when 14 is divided by q.
4
Suppose -1 = n - 11. Let h = 1 + -1. Suppose r - 4 = h, 6*t - 2*t - r - 108 = 0. What is the remainder when t is divided by n?
8
Suppose -2*i - 2*f = -7*f - 72, -f = 5*i - 234. Calculate the remainder when i is divided by 12.
10
Let m(p) = 7*p + 1. Let g be m(-1). Let v(l) = -17*l - 2. Calculate the remainder when v(-2) is divided by ((-9)/g)/(9/66).
10
Suppose -k - 54 = -5*k - 2*o, -k - 4*o + 31 = 0. Suppose 5*i = -0*i - 20. Let b = i - -8. Calculate the remainder when k is divided by b.
3
Let a be (-2)/4 + (-11)/(-2). Let x = a + -3. What is the remainder when 13 is divided by 4*1/(1/x)?
5
Let t(g) = -g - 1. Let m be t(2). Let w = m - -12. Suppose 4*k = 4*a - 60, -2*a + 5*k + 16 + 8 = 0. What is the remainder when a is divided by w?
8
Calculate the remainder when 258 is divided by (-1)/(1/(-37) - (1 + -1)).
36
Let x(d) = -3*d - 6. Suppose 0 = -2*t - 2*b - 2, 13 + 22 = -3*t + 5*b. Calculate the remainder when 25 is divided by x(t).
7
Let o(w) = 3*w + 6. What is the remainder when o(6) is divided by -5 + 13 + 6 + -1?
11
Calculate the remainder when 110/3 + 3/9 is divided by 13.
11
Let q = -48 + 54. What is the remainder when q is divided by 6 + (-3 - (1 + -2))?
2
Let o = -41 + 23. Calculate the remainder when (-914)/o - 2/(-9) is divided by 13.
12
Suppose 105 = -0*d + 4*d - 5*x, 0 = x + 5. Calculate the remainder when 75 is divided by d.
15
Let h = 114 - -31. What is the remainder when h is divided by 37?
34
Let f(h) = -2*h + 52. Calculate the remainder when f(-4) is divided by 21.
18
Suppose -5*a + 2*u + 32 = -0*u, -4 = -3*a + 5*u. Let x(p) = 22*p. What is the remainder when x(1) is divided by a?
6
Let m(t) = -12*t + 3. What is the remainder when (-29 - -1)*1/(-1) is divided by m(-1)?
13
Suppose 5*y = -0 + 85. Calculate the remainder when 46 is divided by y.
12
What is the remainder when 9 is divided by (-12)/21*14/(-4)?
1
Let k = 109 - 68. Calculate the remainder when k is divided by 22.
19
Let s(i) = -2*i**2 + 2*i + 81. What is the remainder when s(0) is divided by 12?
9
Let o = -1 + 6. Suppose -j - 5*x = -o*j + 28, x = 2*j - 8. Suppose -j*f + 5*q + 27 = 0, -3 = 5*q - 2*q. Calculate the remainder when f is divided by 4.
3
Suppose 9*y = 5*y - 80. Let a(w) = -w**2 + 6*w + 6. Let o be a(-6). Let r = y - o. Calculate the remainder when r is divided by 16.
14
Let p = -4 + 21. Suppose -28 = -b - 4*o, -3*o + 84 = 3*b - 7*o. Let k = 4 + b. What is the remainder when k is divided by p?
15
Let u = -2 + 4. Suppose 2*h + 0*t - 3*t = -2, -33 = -5*h - 2*t. Suppose 2*c + 3*d + 4 = 14, 4*d - 25 = -h*c. What is the remainder when c is divided by u?
1
Suppose -5*k + 13 = -7. Suppose 0 = -s - 4*s - 5*n, -k*s + 2*n - 6 = 0. Calculate the remainder when 3/3*s*-2 is divided by 1.
0
Let i(n) be the first derivative of n**4/4 + 10*n**3/3 + 9*n**2/2 - 11*n + 2. Let z be i(-8). Let k = z - 24. What is the remainder when 40 is divided by k?
19
Let d(v) = 8*v - 2*v**3 - 3*v - 6*v**2 - 1 - 10*v. What is the remainder when d(-4) is divided by 18?
15
Suppose 1360 = 4*b + 6*b. Calculate the remainder when b is divided by 23.
21
Suppose 2*b + 21 = 5*b. What is the remainder when 11 is divided by b?
4
Suppose d - 7*d + 102 = 0. Calculate the remainder when 81 is divided by d.
13
Let i(g) = g**2 - 3*g - 2. Suppose 0 = -0*j - j - 2. Let k(q) = q + 13. Calculate the remainder when i(j) is divided by k(-8).
3
Let a be (21/(-6) + 1)*-2. Suppose -a*y - 2 = -172. Calculate the remainder when y is divided by 9.
7
Suppose 3*j = 5*j - 4. Calculate the remainder when j is divided by (-3 + 4 + -3)/(-2).
0
Suppose -5*h + 0*h = 0. Suppose h = p + k - 28, 0 = -4*p + 2*k - 27 + 157. Let g(w) = 4*w - 1. Calculate the remainder when p is divided by g(3).
9
Calculate the remainder when -3*((-290)/(-3))/(-5) is divided by 20.
18
Let k(x) = -x**2 + 7*x - 2. Let n(h) = 5*h**2 - 34*h + 11. Let t(q) = 11*k(q) + 2*n(q). Calculate the remainder when 40 is divided by t(7).
12
Let f = 16 + -6. Suppose -32 = -2*b - 0*b. Suppose -b = -s + 11. What is the remainder when s is divided by f?
7
Let b = 13 - 6. What is the remainder when 26 is divided by b?
5
Let b = 22 - 11. What is the remainder when b is divided by (-64)/(-16) + 1*-1?
2
Let l = 9 + -4. What is the remainder when l is divided by (-7)/(-4) - (-2)/8?
1
Suppose -21 - 23 = -4*o. Suppose 5*s + 3*v - 30 = 0, 5*s - v - 21 - 9 = 0. What is the remainder when o is divided by s?
5
Let w(s) = -14 - 4 + 5 - 3*s + s. Suppose 3*t - 3*j = -30, -4*j + 2*j - 43 = 5*t. What is the remainder when w(t) is divided by 3?
2
Suppose 3*p - 27 = 21. What is the remainder when 62 is divided by p?
14
Suppose -4*y = -2*y - 42. Let r = 73 + -67. Calculate the remainder when y is divided by r.
3
Let x(k) = -7*k - 2. Let p(d) = d**2 + 6*d + 5. Calculate the remainder when x(-2) is divided by p(-6).
2
Let d be (-34)/8 - 1/(-4). Let p = d - -2. Calculate the remainder when (13*2 - 0) + p is divided by 13.
11
Let y(n) = 2*n**3 - 5*n**2 - n - 6. Let o(u) = -u**3 + u**2 - u - 1. Let b(t) = o(t) + y(t). What is the remainder when 14 is divided by b(5)?
6
Let g be (-8 + -2)*(-39)/6. Suppose j + 4*j = g. Calculate the remainder when 37 is divided by j.
11
Let k = -28 + 75. What is the remainder when k is divided by 24?
23
Calculate the remainder when 3 - ((-10)/(-60) - (-22)/12) is divided by (-1)/2 + 21/14.
0
Suppose 3*s + 0*p - 5*p = 19, 4*s - 8 = -2*p. Suppose 0 = w, 15 + 25 = 5*k - w. What is the remainder when k is divided by s?
2
Let i = -11 - -11. Suppose i*p - 120 = -4*p. Calculate the remainder when p is divided by 16.
14
Suppose 13*a - 923 = -0*a. Suppose 3*k - 25 - 29 = 0. Calculate the remainder when a is divided by k.
17
Let b(l) = -13*l**3 + 2*l**2 + 2*l + 1. Let k be b(-1). Let v be (-2)/(-6) + k/(-6). Calculate the remainder when (0 + -1 - v) + 26 is divided by 15.
12
Suppose 27 = a - z, z + 109 = 4*a - 4*z. What is the remainder when 103 is divided by a?
25
Calculate the remainder when 29 is divided by (-3)/15 - (-3 + 162/(-10)).
10
Let c = 9 - 1. Let o(l) = -l + 10. What is the remainder