q + q. Suppose 10*a - 5*a + b - 130 = q, n*a = 4*b + 52. What is the remainder when a is divided by 9?
8
Let d = 110 - -22. Suppose 0 = 6*h - 2*h - d. What is the remainder when h is divided by 12?
9
Suppose k - 4*j - 23 = 0, -2*k + 0 = j - 1. Suppose -k*a - 31 + 148 = 0. Let h(s) = -s**2 - s + 20. Calculate the remainder when a is divided by h(0).
19
Let x(l) = l**2 - 5*l + 2. Let y be x(3). Let h = y - -9. Let w(f) = -5*f - 2. Calculate the remainder when h is divided by w(-1).
2
Suppose 0 = c + 4, -122 = -4*s - s - 2*c. Let g = 37 - s. Calculate the remainder when 41 is divided by g.
8
Suppose -2*t - t + 57 = 0. Let c(f) = 8*f - 9. Let y(r) = r - 1. Let p(o) = 2*c(o) - 14*y(o). Calculate the remainder when t is divided by p(7).
9
Let i(h) = h**3 - 12*h**2 + h - 10. Let g(o) = -3*o**3 - 4*o**2 - 3*o - 2. Let u be g(-2). Calculate the remainder when (-2)/6 - 16/(-3) is divided by i(u).
1
Suppose 8*l + 29 - 301 = 0. Calculate the remainder when l is divided by 7.
6
Let f = -66 - -92. Calculate the remainder when f is divided by 9.
8
Let u = -43 + 60. Suppose 40*y = 43*y - 246. Calculate the remainder when y is divided by u.
14
Let j be 3*11/(-2)*2. Let i = -17 - j. What is the remainder when 37 is divided by (i - 3)*(0 + 1)?
11
Suppose 30 = 5*i + 2*u, 2*u + 0*u - 10 = 0. What is the remainder when 12 is divided by i?
0
Let r be 8/3 - 3/(-9). Suppose 3*c - 4 + r = -4*k, 4*k + 5 = -c. Calculate the remainder when 49 is divided by -51*(15/9 + k).
15
Suppose d + 100 = 5*d. Let b = d + -8. What is the remainder when b is divided by (-395)/(-45) - 4/(-18)?
8
Suppose 5*c = 4*k - 208, 5*k - 215 = -3*c - 2*c. What is the remainder when k is divided by 26?
21
Suppose 0*r - 162 = -4*r + 2*h, r - 2*h - 39 = 0. What is the remainder when r is divided by (49/56)/(-7) - 178/(-16)?
8
Let h = -24 + 29. Suppose 328 = -t + h*t. Calculate the remainder when t is divided by 28.
26
Let j(p) = p**2 - 7*p - 14. Let t = -14 + 25. What is the remainder when j(11) is divided by t?
8
Let l = -22 + 22. Suppose -2*w = 5*j - w - 77, l = 4*j + 3*w - 66. What is the remainder when 43 is divided by j?
13
Let h(c) = -6*c**3 + c**2 + 5*c + 3. Let p be h(-2). Let o = 38 + -11. Suppose o = 4*y - p. What is the remainder when 51 is divided by y?
15
Let z(n) = 6*n - 10. Let j be z(7). Let d = j + -19. What is the remainder when d is divided by -1 + 9 + (0 - 1)?
6
Let m(y) = -6 + 0 + 6*y - y - 3*y. Calculate the remainder when 22 is divided by m(7).
6
Suppose -2*p = -2*w + 30, 2*w + 29 = -5*p + 94. Suppose 4*b - 4*m - 247 = -m, -38 = -b - 4*m. Calculate the remainder when b is divided by w.
18
Suppose -6*k + 67 = -4*k - 5*z, -2*k + z + 63 = 0. Calculate the remainder when k is divided by 20.
11
Let f = -4 + -1. Let b(m) = -m**2 - 6*m - 2. Let a be b(f). Suppose 5*u - 88 = a*u. What is the remainder when u is divided by 15?
14
Calculate the remainder when 2 - 1 - -1 - -75 is divided by 40.
37
Suppose -k + 22 = 6. Suppose 4*x - 3*x - 27 = 0. Suppose x = 4*u - u. What is the remainder when k is divided by u?
7
Suppose -4*f + 203 = -c, 1 = -2*c + 11. What is the remainder when f is divided by 9?
7
Suppose -2*h - 2*l - 28 = 0, 2*h + 2 = -5*l - 32. Let o = 26 + h. Suppose -5*p + 2*t = -119, -p + 28 = -2*t + 9. What is the remainder when p is divided by o?
11
Suppose 3*t = -3*u + 75, t + 16 = 2*u + 56. Suppose 4*a - a = t. What is the remainder when 37 is divided by a?
7
Let d(w) = -w + 3. Let p be d(7). What is the remainder when (-204)/p - 2/2 is divided by 13?
11
Suppose -1 = t - 12. Calculate the remainder when t is divided by 3.
2
Let u be (6/(-5))/((-15)/50). Suppose 2*i = -u + 12. Suppose -4*d = -s + 6, -d - 12 = -s - 3*d. Calculate the remainder when s is divided by i.
2
Let l = 144 - 72. Suppose -z = 3*z - l. Calculate the remainder when 33 is divided by z.
15
Suppose 15*n - 144 = 11*n. Calculate the remainder when n is divided by 0 - (-14 - 1 - -2).
10
Let z(j) = j**3 - 20*j**2 - 17*j - 9. What is the remainder when z(21) is divided by 19?
18
Suppose -q + 28 = 3*t, q = -2*t + 26 - 3. Suppose -11*d = -9*d - 100. Calculate the remainder when d is divided by q.
11
Let t(p) = 5*p**2 - 2*p - 1. Calculate the remainder when t(3) is divided by 14.
10
Suppose 0 = -4*d + 2*d + 62. Let h = 25 - 1. Calculate the remainder when d is divided by -1 + h/(4 + -2).
9
Suppose -93 = -0*n - 3*n. What is the remainder when n is divided by (3 + 66/12)/((-1)/(-2))?
14
Suppose -r + d = 6*d + 2, -r - 2 = d. Let z be (1/2)/(r/(-24)). Suppose -u = -2*h, 0*u + z = 2*u - h. Calculate the remainder when 10 is divided by u.
2
Let b(v) = v**2 - 8*v + 11. Calculate the remainder when b(8) is divided by 2.
1
Let l(q) be the third derivative of q**5/30 + 5*q**4/12 - q**3/3 + 2*q**2. Let p(r) = -r**3 + 9*r**2 + r. What is the remainder when l(-7) is divided by p(9)?
8
Suppose 0 = -r - 2*f + 13, 5*f - 2*f = 3*r + 6. Let h = -12 - -22. What is the remainder when (-4)/h + (-37)/(-5) is divided by r?
1
Suppose -84 = -6*w + 3*w. Calculate the remainder when w is divided by 15.
13
Suppose 5*u - u = 40. Let h(m) = m**3 - 2*m**2 + 3*m - 1. What is the remainder when h(3) is divided by u?
7
Calculate the remainder when 64 is divided by (-140)/(-6) - 16/48.
18
Calculate the remainder when 126 is divided by (-5)/(15/(-6))*(-8)/(-1).
14
What is the remainder when 28 is divided by (4/(-6))/((-6)/135)?
13
Suppose a + 54 = 4*a. Let o(c) = -70*c**3 + c + 1. Calculate the remainder when o(-1) is divided by a.
16
Let r(c) = 0 - 4*c + 3*c + 1. Calculate the remainder when r(-5) is divided by 4.
2
Let j be (-7)/((-42)/8)*3. Let s(v) = v**3 - 2*v**2 + v. What is the remainder when s(j) is divided by 13?
10
Suppose 0*k = -3*k + f + 30, 0 = 2*k + 3*f - 31. Let w = -13 - -7. Let z(g) = g**3 + 6*g**2 - 6*g - 4. Calculate the remainder when z(w) is divided by k.
10
What is the remainder when (-5)/((6/32)/(-3)) is divided by 42?
38
Let r(y) = -8*y + 3. Let g be ((-5)/2)/(8/32). Let k = g - -3. What is the remainder when r(k) is divided by 20?
19
Let w = 0 + 15. Calculate the remainder when 43 is divided by w.
13
Let b(h) = -h**3 - 4*h**2 - 2*h + 5. Let w(m) = m**2 + 9*m + 4. Let g be w(-8). What is the remainder when b(g) is divided by 7?
6
What is the remainder when 5/2*(-2 + 10) is divided by 6?
2
Let o(u) = u**2 - 2. Let d(x) = x**3 - 8*x**2 - 6*x - 1. Calculate the remainder when d(9) is divided by o(4).
12
Suppose -6*i - i + 91 = 0. What is the remainder when 47 is divided by i?
8
Suppose -a - 5*v - 2 = -6, -3*a - 4*v + 12 = 0. What is the remainder when 15 is divided by a?
3
Suppose -4*o = -2*v - 14 - 12, 0 = 3*v - 9. Calculate the remainder when 14 is divided by o.
6
Let d(m) = m**3 - 8*m**2 + 7*m - 3. Let u be d(6). Let g = -193 - -136. Let b = u - g. Calculate the remainder when b is divided by 13.
11
Let h = 6 + 12. Suppose -4 = 3*b - 10. Calculate the remainder when ((-39)/b)/((-27)/72) is divided by h.
16
Let d be 39*1 - 2/2. Suppose 3*l - 5*l + d = 0. What is the remainder when 36 is divided by l?
17
Let r = -55 - -101. Suppose -3*i + 8*i = 35. Suppose -i*x = -8*x + 24. What is the remainder when r is divided by x?
22
Calculate the remainder when 61 is divided by ((-1)/2)/(4/(-256)).
29
Let c(b) = -b**3 + 9*b**2 + b + 3. Suppose 2*f - 33 = -5*d, -f + 38 = 5*d - 4*f. Calculate the remainder when c(9) is divided by d.
5
Let u(v) = v**3 - 10*v**2 - 11*v + 9. Calculate the remainder when 24 is divided by u(11).
6
Let z = -113 + 133. Let i = -98 + 155. Calculate the remainder when i is divided by z.
17
Let i(x) = -x**2 + 8*x. Let q be i(8). Suppose j + q*j = -5. What is the remainder when 6 is divided by ((-4)/(-5))/((-1)/j)?
2
What is the remainder when 5 + (-6)/2 + 40 is divided by 13?
3
Suppose 10 = -z - 0*z + 2*a, 2*a = -4*z + 10. Suppose h = -z*h + 2. Calculate the remainder when 4/2*(1 - -1) is divided by h.
0
Let d(l) be the second derivative of l**3/6 + l**2 - 3*l. What is the remainder when 11 is divided by d(2)?
3
Calculate the remainder when (-2)/(-7) - (-1160)/56 is divided by 12.
9
Suppose 4*j - 34 = 3*j. Let h(s) = -2*s**3 - 2*s**2 + 1. What is the remainder when j is divided by h(-2)?
7
Let z = 153 - 21. Calculate the remainder when z is divided by 27.
24
Let d(m) = -m**3 - 16*m**2 - 2*m - 24. What is the remainder