9)/(-12))/(6/16). Suppose 0 = h*r, -3*n + 3*r = -2*r - 54. Calculate the remainder when 33 is divided by n.
15
Let v(x) be the third derivative of 17*x**5/120 + x**3/2 - 4*x**2. Let r(c) be the first derivative of v(c). What is the remainder when r(1) is divided by 9?
8
Suppose 54 = -i - i. Let a = 56 + i. What is the remainder when a is divided by (-1 + 11 - 2) + 0?
5
Suppose -3*j - 1 = w, 0*j = -3*w - 4*j + 2. Suppose -b + 8 = w. What is the remainder when ((-5)/(-4))/(2/16) is divided by b?
4
Let g(k) = k**3 + k**2. Calculate the remainder when 70 is divided by g(3).
34
Suppose h + 5*i = -17, -2*i + 18 = -5*h - 40. Let m = 19 + h. What is the remainder when 12 is divided by m?
5
Let d = -1 + 11. Calculate the remainder when 27 is divided by d.
7
Let t(u) = -18*u - 88. Calculate the remainder when 113 is divided by t(-7).
37
Let l = 23 + -16. Calculate the remainder when 11 is divided by l.
4
Suppose -2*f + 64 = 190. Let c(j) = -111*j - 3. Let t be c(1). Let y = f - t. What is the remainder when y is divided by 18?
15
Suppose -4*s - 7*o + 19 = -2*o, o + 1 = 0. Suppose -11 = -7*g + s*g. What is the remainder when 42 is divided by g?
9
Let n(w) = -w**3 + 12*w**2 + 7*w + 8. Calculate the remainder when n(12) is divided by 32.
28
Let p(m) = -m**3 + 9*m**2 - 8*m + 4. Let s be (-3 - -2) + (-9)/(-1). Calculate the remainder when 11 is divided by p(s).
3
Let u be ((-1)/(-3))/((-1)/(-9)). Let d = 25 + -9. Suppose -k + d = u*k. Calculate the remainder when 6 is divided by k.
2
Let x be (-4*2)/(6/(-21)). Let j = x - 0. Let h = 5 - -5. What is the remainder when j is divided by h?
8
Calculate the remainder when 37 is divided by (-6)/10 + 86/10.
5
Suppose 395 = -l + 6*l. What is the remainder when l is divided by 16?
15
Let i = 4 - -2. What is the remainder when 17 is divided by i?
5
Let q(s) = 2*s**2 + 4*s - 5. What is the remainder when q(4) is divided by 11?
10
Let w be 2/2*(4 + -2). Suppose -4*l + 6 = -w. Calculate the remainder when 5 is divided by l.
1
Let d(l) = -l**3 - 9*l**2 - 13*l - 12. Calculate the remainder when 53 is divided by d(-8).
25
Calculate the remainder when 36/27*(-126)/(-4) is divided by 22.
20
Let o = 2 + 1. Suppose -t = -2, t - 5 + 105 = o*y. What is the remainder when y is divided by 18?
16
Let t(k) be the third derivative of k**4/24 + 2*k**3/3 - 4*k**2. Calculate the remainder when t(5) is divided by 3.
0
Let t = 5 + -2. Calculate the remainder when 41 is divided by ((-20)/8 + t)*28.
13
Let c(q) = q**3 + 4*q**2 - q. Suppose 12 = -z - 2*l - l, 3*z - 3*l = 24. Suppose z*d + 0*d - 69 = 0. What is the remainder when d is divided by c(-3)?
11
Let o = -1 + 2. Let f be ((-4)/3)/(2/6). Let l = 5 + f. Calculate the remainder when l is divided by o.
0
Suppose 8*s = 111 + 161. Calculate the remainder when s is divided by 10.
4
Suppose 0*x = 4*n - 4*x - 132, x = -1. Calculate the remainder when n is divided by 18.
14
Let p be (-10)/6 - (-1)/(-3). Suppose -4*v + 32 = -4*z, -3*v = 2*v + 2*z - 75. What is the remainder when 96/p*5/(-10) is divided by v?
11
Let h(l) = 40*l. Let n = -2 + 6. Let r = n - 3. Calculate the remainder when h(r) is divided by 21.
19
Suppose m - 4*m = -345. Suppose -3*n = 2*n - m. Suppose 5*t + 0*h + h = 36, h - 20 = -3*t. What is the remainder when n is divided by t?
7
Let s be (-1)/2 - (-33)/2. Suppose -r + 4*z - s = -2*r, 2*z - 38 = -3*r. What is the remainder when (-22)/((-1 - -2) + -2) is divided by r?
10
Let y(n) be the first derivative of 2*n**3/3 - 2*n**2 - 2*n - 3. What is the remainder when y(-3) is divided by 10?
8
Suppose -2*i = 5*c - 154, -2*c - 21 - 172 = -3*i. Let z = i + -35. Calculate the remainder when z is divided by 11.
10
Suppose -3*q + 15 = 0, 4*z + q - 153 = -4*q. Let o(j) = j**3 - 8*j**2 + 9*j - 3. Calculate the remainder when z is divided by o(7).
10
Suppose 5*o = 20 + 25. Suppose 5*v - 68 = 3*n + 14, -4*v + 4*n + 64 = 0. What is the remainder when v is divided by o?
8
Suppose -2*s + s = -4*q + 10, 3*s + 2*q - 12 = 0. Let o be 4/10 - 3/(-5). Calculate the remainder when s is divided by ((-2)/4 + o)*2.
0
Let u = 127 - -15. Calculate the remainder when u is divided by 9.
7
Suppose n = 5*n - 8. Suppose -9 = n*b - 3*b. Calculate the remainder when (-2)/(-3) - (-146)/6 is divided by b.
7
Suppose 2*l - 12 = 3*l. Let t = 11 - l. What is the remainder when t is divided by 13?
10
Let n(r) = r**3 - 7*r**2 + 4*r + 10. Let j be n(8). Let g = j + -69. Calculate the remainder when g is divided by 13.
11
Let u be (36/(-8))/(1/(-2)). Suppose 2*d - u + 1 = 0. Suppose d*m + 2 = 26. Calculate the remainder when 11 is divided by m.
5
Let k = 21 - 18. Calculate the remainder when 7 is divided by k.
1
Suppose -9 = -4*w + w. Suppose 6*p + 20 = 2*p, -3*p - 14 = v. Suppose -v = -w*l + 29. Calculate the remainder when l is divided by 4.
2
Suppose 5*y - j = 854, -308 + 993 = 4*y + j. Let r = y + -91. Calculate the remainder when r is divided by 27.
26
Let k be -40 + (16/4)/(-1). What is the remainder when k*(-1 - 0) - -3 is divided by 16?
15
Suppose 4*n - 27 = 3*k, 5*n - 3 = -2*k + 48. What is the remainder when 26 is divided by n?
8
Calculate the remainder when (-4)/24 - 86/(-12) is divided by (-9)/(-4) + 4/(-16).
1
Suppose -7*d + 3*d + 48 = 0. Let b = -91 - -111. Calculate the remainder when b is divided by d.
8
Let d = 15 - 25. Let n = 23 + d. Suppose -5 + 0 = -b. What is the remainder when n is divided by b?
3
Let l(c) = -c**3 - 25*c**2 + 5. Calculate the remainder when ((-2)/(-1))/((-2)/(-17)) is divided by l(-25).
2
Let l(y) = -y + y - y + y**2 - 2*y**2. Let u be l(-2). Calculate the remainder when (0 - u) + 16 - 1 is divided by 9.
8
Let i = 5 - 3. Suppose -5*o + 26 = 2*g, i*o + 5 = g + 10. Calculate the remainder when g is divided by 1 + -1 + -1 + 3.
1
Let v = -1 + 3. Let r(i) = 2*i - 2. Let t be r(2). Calculate the remainder when 13 is divided by 11/v + (-1)/t.
3
Suppose -2 + 6 = 3*g - 2*m, 4*g - 24 = -2*m. What is the remainder when g/(-2) - (-3 + -16) is divided by 9?
8
Let a(v) = v**3 + 7*v**2 + 5*v + 8. Let j = -10 - -4. Calculate the remainder when 25 is divided by a(j).
11
Suppose -5*n - 22 = -7. Let g = 0 - n. Suppose -k = 2 - g. Calculate the remainder when 1 is divided by k.
0
Let c(t) = 5*t - 31. Calculate the remainder when 83 is divided by c(12).
25
Let r be (10/25)/((-1)/(-85)). Let t = r - -9. Calculate the remainder when t is divided by 15.
13
Suppose -h + 43 = 20. What is the remainder when (-104)/2*7/(-4) is divided by h?
22
Let u(k) = -2*k - 2. Suppose 3*n + 6 = 0, -3*h = -3*n + 5 + 1. Let i(m) = -3*m + 3. Calculate the remainder when i(h) is divided by u(-5).
7
Let u = -25 + 80. Calculate the remainder when u is divided by (-6 - (-133)/7) + 1.
13
Let p(k) = k**2 - 2. What is the remainder when p(-4) is divided by (-2 - -11) + (4 - 5)?
6
Suppose -18 = o - 3*o. Let x(a) = a + 3. What is the remainder when o is divided by x(3)?
3
Suppose 4 = -4*h + 48. Let n(o) = -o**2 - 4*o + 11. What is the remainder when h is divided by n(-5)?
5
Suppose -23 = -5*l + 2. Suppose 0 = q - 4*q + 3*y, 0 = -y - l. Let t = q - -10. Calculate the remainder when 14 is divided by t.
4
Let v be (2 + 1)*(-32)/(-3). Suppose -3*j + v = -1. What is the remainder when 32 is divided by j?
10
Let g(p) = p**3 - 6*p**2 - 6*p + 9. Let a(w) = w**3 - 2*w + 3. Let c = -3 - -5. Let d be a(c). Calculate the remainder when 30 is divided by g(d).
14
Suppose -h + 3*p + 16 = 0, -5*h + 4 = -0*h + 4*p. Let z(d) = -4*d - 7. Let u be z(-8). Let o = -14 + u. Calculate the remainder when o is divided by h.
3
Suppose 0 = w + 2*w - 24. Suppose -u - u = 3*p + 3, -4*p = 3*u + 3. Calculate the remainder when w is divided by p/9 - (-32)/6.
3
Suppose -5*c = 2*w + w - 44, -2*c + 26 = 4*w. Suppose -26 = -6*j + 46. Calculate the remainder when j is divided by c.
5
Suppose 0 = -3*a + 2*n + n + 21, -4*a + 34 = -2*n. What is the remainder when a is divided by 3?
1
Let j = -20 + 35. Let o(d) = -21*d**3 + 2*d + 1. Let s be o(-1). Let g = -12 + s. What is the remainder when j is divided by g?
7
Let y = 8 + -3. Suppose 3*k = -3*g + 60, -k - 40 = y*g - 7*g. What is the remainder when 38 is divided by g?
18
Let h = -13 + 25. Let c = 15 + -8. What is the remainder when h is divided by c?
5
Suppose -3*o + 206 = 56. Let s = 14 + -24. Let z(g) = g**2 + 9*g + 7. Ca