uppose -5*g + 3*d + 54 = 0, 8 + 4 = 2*g + 2*d. Let h = g + -9. Suppose -15 + h = -j. Calculate the remainder when j is divided by 8.
7
Let v(c) be the first derivative of 23*c**3/6 - c + 1. Let s(r) be the first derivative of v(r). Calculate the remainder when 67 is divided by s(1).
21
Suppose w - 9 = 1. Let q(t) = -t**3 + 11*t**2 - 10*t + 11. Suppose 0 = v - 42. What is the remainder when v is divided by q(w)?
9
Suppose 10 = 5*k - 15. Suppose 0 = k*j - 36 - 34. What is the remainder when 54 is divided by j?
12
Let j = 11 - 16. Suppose 28 = 3*n + y, 0*y - y = -3*n + 20. Let x = j + n. What is the remainder when 10 is divided by x?
1
Suppose 14*g + 4*g - 468 = 0. What is the remainder when 51 is divided by g?
25
Let x = 28 - 7. What is the remainder when 60 is divided by x?
18
Let r(b) = 4*b - 2. Let p be r(6). Let m = 47 + -9. Let i = m - p. What is the remainder when 47 is divided by i?
15
Suppose -2*u + u = -36. Calculate the remainder when u is divided by 19.
17
Let g be ((-1)/(-3))/(2/6). Let h(j) = 6*j**2. Suppose f + 1 = 17. What is the remainder when f is divided by h(g)?
4
Suppose -g + 4*d = -33, -d + 21 = -g + 57. Calculate the remainder when g is divided by 20.
17
Suppose -3*u + p + 18 = 0, -p + 18 = 4*u - u. Calculate the remainder when 21 is divided by u.
3
Suppose -5*y + 141 = -119. Let l = -37 + y. Calculate the remainder when l is divided by 9.
6
Suppose 0*o - 5 = -o. Suppose 3*u + o*l - 117 = 0, l - 52 = -3*u + 77. Calculate the remainder when u is divided by 12.
8
Suppose -2*h = -3*h + 10. Let w(g) = 10*g + 7. What is the remainder when w(4) is divided by h?
7
Suppose 6*x - 70 = x. Calculate the remainder when 69 is divided by x.
13
Suppose -6 - 7 = -t. Calculate the remainder when 38 is divided by t.
12
Suppose -26 = -2*n - 5*r + 2, -4*n + 3*r + 30 = 0. Let g(w) = -w**2 + 16*w - 6. What is the remainder when g(n) is divided by 15?
12
Let p(k) = -k**3 + 14*k**2 + 16*k - 18. Let j be p(15). Suppose 3*o - 3 = 2*o. What is the remainder when 0 + o - j/3 is divided by 2?
0
Let h(x) = -2*x**3 - x**2 + x. Let c be h(-3). Suppose 2*o = 5*o + c. Let q = 21 + o. Calculate the remainder when q is divided by 3.
1
Suppose 0 = -x - 5*s - 0*s + 11, -5*x - 5*s + 135 = 0. Let n = -1 + 4. Suppose -n*h = -14 - 19. Calculate the remainder when x is divided by h.
9
Let g(l) = 2*l**2 + 2*l - 3. Let v be g(-5). Let h = 67 + v. Suppose -3*i = i - h. Calculate the remainder when i is divided by 14.
12
Suppose 5*t - 1 = -f + 1, 0 = -2*t + 2*f + 8. Calculate the remainder when (t/2)/((-2)/(-120)) is divided by 11.
8
Suppose 3*r - 12 = 0, -g + 2*r + 15 = -0*g. Let l = -9 + g. What is the remainder when 27 is divided by l?
13
Let a = 20 + -5. Let g(k) = -k**2 + 6*k - 3. Let q be g(5). What is the remainder when 125/a + q/(-6) is divided by 5?
3
Let x = -117 - -169. Calculate the remainder when x is divided by 12*(2/4 - -1).
16
Let q(d) = 15*d**3 - d**2 - d + 1. Suppose -3*c + 211 = 5*m, -2*c + 1 + 3 = 0. Calculate the remainder when m is divided by q(1).
13
Suppose -2*o = 3*o - 420. Calculate the remainder when o is divided by 17.
16
Suppose 0 = 36*f - 32*f - 64. What is the remainder when 109 is divided by f?
13
Let j(a) = -a**2 + 11*a + 17. Calculate the remainder when 66 is divided by j(11).
15
Let y(i) = 12*i**3 - i**2 - 2*i + 2. Calculate the remainder when 123/(-2)*(-6)/9 is divided by y(1).
8
Suppose 0 = -2*d - 4 - 0. Let o = d + 13. Let y(h) = h**2 - 6*h + 5. Calculate the remainder when y(9) is divided by o.
10
Let w be (-1)/((-3)/6)*-4. Let r = 14 + w. Suppose 0 = 2*g + 4*n, -2*g + n + 3*n + 40 = 0. What is the remainder when g is divided by r?
4
Suppose 0 = w - 4*w + 27. What is the remainder when 35 is divided by w?
8
Let a(y) = y**3 + 24*y**2 + 23*y + 16. Calculate the remainder when 47 is divided by a(-23).
15
Suppose -6*l = -2*l - 52. What is the remainder when 38 is divided by l?
12
Suppose 2*y + 1 - 3 = 0. Suppose 0 = -p + 1 + 1. Let n = 3 - p. What is the remainder when n is divided by y?
0
Suppose 0 = 5*k - 5*o - 30, -3 = 3*o - 4*o. Let b(p) = -p**2 + 10*p - 9. Let f be b(k). Calculate the remainder when 7 is divided by (f + -2 + 0)*-2.
3
Let d(t) = t + 5. Let q be d(5). Let c be (-2)/((-14)/q - -1). Suppose -2*l + 11 + c = 0. What is the remainder when l is divided by 5?
3
Let u be (-64)/40 - (-4)/(-10). What is the remainder when 13 is divided by -1*(u + 9)/(-1)?
6
Let t be 590/3 - (-4)/(-6). Suppose 6*w - t = 2*w. Calculate the remainder when w is divided by 13.
10
Suppose 2*n - 3*r + 32 = 7*n, -3*r = -4*n + 31. Calculate the remainder when n is divided by ((-36)/(-45))/(2/5).
1
Suppose -3*v = -f - 269, -f - 135 = -2*v + 46. What is the remainder when v is divided by 25?
13
Suppose -v + 9 = -5. What is the remainder when 53 is divided by v?
11
What is the remainder when 18 is divided by (-9)/(-3)*66/18?
7
Suppose 3*f + 2 = -o, o + 2 = -f - 0. Let i(j) = j**3 + 3*j**2 - 2. Let z be i(o). Suppose z = c - 11. Calculate the remainder when 24 is divided by c.
11
Suppose 4*n - 2*b + 7*b - 42 = 0, -28 = -2*n + b. What is the remainder when 218 is divided by n?
10
Calculate the remainder when 153 is divided by 1 - (1 + -4 + -18).
21
Let z(o) = 3*o - 5. What is the remainder when z(6) is divided by 4?
1
Let r(h) = h**3 + 13*h**2 + 19. Let k be r(-13). Suppose -15*s = -k*s + 24. What is the remainder when 9 is divided by s?
3
Let r(b) = -b**3 + 5*b**2 - 6*b + 3. Let y be r(4). Let x = -1 - y. Suppose x = 2*n - 2. Calculate the remainder when 9 is divided by n.
0
Suppose -8 = 115*q - 117*q. What is the remainder when 18 is divided by q?
2
Suppose 2*f - 6*f = 1240. Let r be f/4*8/(-2). Calculate the remainder when (8/20)/(2/r) is divided by 21.
20
Suppose 0 = -5*x - 3*c - 121, x - 3*x - 40 = 4*c. Calculate the remainder when (x/3)/((-2)/9) is divided by 14.
11
Let c be 12/(-10)*15/(-2). Calculate the remainder when 17 is divided by (c/15)/((-1)/(-10)).
5
Suppose 5*i - 94 = f, 0*f + 4*f = 3*i - 70. Let k(p) = 13*p + 22. What is the remainder when k(5) is divided by i?
15
Suppose 0 = -m - 76 + 90. Calculate the remainder when 124 is divided by m.
12
Suppose 0*c - c = -3. Let h be (6/(-7))/((-1)/7). Suppose z = h*z - 55. Calculate the remainder when z is divided by c.
2
Let a be (-2)/5 + 6/15. Let c(k) = -k**3 - k**2 + k + 44. Calculate the remainder when c(a) is divided by 23.
21
Let c(p) = p**2 - 8*p - 5. Let y(g) = -7*g**3 + g**2 + 2*g + 1. Let h be y(-1). Let a be c(h). Let i = -6 - a. What is the remainder when 17 is divided by i?
5
Let q(l) = 10*l - 2. What is the remainder when 21 is divided by q(1)?
5
Suppose -4*k + 3*v = -13, -5*v + 3*v = 5*k - 22. Let m(u) = u**3 + u + 5. What is the remainder when (13/2)/(2/k) is divided by m(0)?
3
Let q = -8 - -21. What is the remainder when 1*-34*3/(-2) is divided by q?
12
Let s(x) = 37*x**3 - 2*x + 1. Let y be s(1). Suppose -2*c = 1 - 5. Suppose m - 3*a = 18, -c*a = 2*m - 4*a - y. Calculate the remainder when 34 is divided by m.
16
Let x(b) = -b**3 + b**2 - 14. Let t be x(0). Let p = 11 - 15. Calculate the remainder when p/(-4) + (0 - t) is divided by 8.
7
Suppose 0 = -4*x - 21 + 121. Calculate the remainder when 119 is divided by x.
19
Let o(y) = -2*y - 1. Let q(s) = s**3 - 13*s**2 - 2. Let g be q(13). What is the remainder when o(g) is divided by 2?
1
Let d be 44/4 + (6 - 2). Suppose 5*w + d = 0, -4*w - 143 = -4*m - 31. Calculate the remainder when 72 is divided by m.
22
Let s = -29 + 48. Suppose -2*n + 2*m = n - 7, 4*m - s = -5*n. Calculate the remainder when 11 is divided by n.
2
Let h(v) = v - 4. Let i be h(8). Suppose -4*q = -5*q - 3, 5*q + 211 = -i*a. Let w = -15 - a. Calculate the remainder when w is divided by 12.
10
Let q be 3*(2 + (-6)/(-2)). Suppose 3*j - q = 21. Calculate the remainder when 35 is divided by j.
11
Let k(d) = d - 11. Let u be k(13). Suppose 2*b + v + 1 = 18, 14 = 2*b + u*v. Calculate the remainder when 17 is divided by b.
7
Calculate the remainder when 5*((-132)/(-10) - (-8)/(-20)) is divided by 14.
8
What is the remainder when 36 is divided by (-68)/(-5) - (-6)/(-10)?
10
Let z be -1 + (2 - 3) + 3. Calculate the remainder when (2 + -1)*(18 + z) is divided by 10.
9
Suppose -21 = -4*y + y - 3*i, i = 0. Let d = y + 46. Calculate the remainder when d is divided by 14.
11
