the remainder when 72 is divided by 75/6 - -2 - 4/(-8)?
12
Let d = -20 - -24. Suppose i = d*o - 0*o - 1, -3*i + 19 = -o. Calculate the remainder when 13 is divided by i.
6
Let n(s) = 11*s**2 + s + 2. What is the remainder when n(-2) is divided by 23?
21
Let k(g) be the second derivative of -g**3/3 + 5*g**2/2 + 3*g. Let y be k(-4). Let c = -7 + y. Calculate the remainder when 10 is divided by c.
4
Suppose 0 = -11*m + 7*m + 8. Let w = -26 - -16. Let g = m - w. Calculate the remainder when 35 is divided by g.
11
Let x(i) = -i**2 - 9*i - 8. Let n be x(-8). What is the remainder when (n + -11)/(8/(-16)) is divided by 6?
4
Suppose 0 = 4*j + 5*r - 88, 0 = -5*j - 2*r + 111 - 18. Calculate the remainder when 31 is divided by j.
14
Let n(h) = -h**3 - 8*h**2 - 7*h + 10. Let u be (-4)/(-6)*63/(-6). Calculate the remainder when n(u) is divided by 4.
2
Let x(p) = 3*p**2 - 10*p. What is the remainder when x(6) is divided by 10?
8
Let m(r) = -r**3 + 8*r**2 - 9. Let t be m(7). Let f = 62 + t. What is the remainder when f is divided by 26?
24
Let g(s) = 2*s - 3. Let a be g(-3). Let m = a + 13. Let i = -8 - -11. Calculate the remainder when m is divided by i.
1
Let l(j) = -37*j + 5. Let b(y) = 25*y - 3. Let o(g) = -7*b(g) - 5*l(g). Calculate the remainder when o(3) is divided by 9.
8
Suppose 4 = k - 1. Calculate the remainder when 11 is divided by k.
1
Let s = -2 - -6. Suppose 2*x - b - s = b, -4*x + 17 = 5*b. Let u(q) = 5*q**2 + q. Calculate the remainder when u(-1) is divided by x.
1
Let l(h) = -h**3 - 13*h**2 - 15*h + 4. Let o be l(-12). Let i = o - 20. Calculate the remainder when 38 is divided by i.
18
Suppose -3*v - 14 = -l, -1 = -4*l - 3*v + 10. Calculate the remainder when 14 is divided by l.
4
Let o(u) = u**3 - 7*u**2 + u + 7. Suppose -54*n + 220 = -50*n. Calculate the remainder when n is divided by o(7).
13
Let k(d) = -48*d**3 + 2*d + 1. Let w be k(-1). Let f = -76 - -54. Let o = f + w. What is the remainder when o is divided by 13?
12
Let u be ((-1)/(3/12))/(-1). Suppose 0 = -u*s - 4*w + 8, 0 = -4*s + 4*w - 2*w + 20. What is the remainder when 15 is divided by s?
3
Let h(n) = -2*n + 49. What is the remainder when 48 is divided by h(15)?
10
Suppose 13 = 3*b - 23. Calculate the remainder when b/(-9)*3/(-2) is divided by 1.
0
Suppose -4*c - 3*r - 21 = -6*c, 0 = -3*r + 3. Calculate the remainder when 21 is divided by c.
9
Suppose l = -5*k + 6, 5*k - 3*k + 3*l = -8. Suppose 4*c + 14 = 6*c. Suppose -k*q + c*q = 105. What is the remainder when q is divided by 11?
10
Suppose r - 128 = -3*f - 4*r, -2*f - 5*r + 82 = 0. Calculate the remainder when f is divided by (3 + -1)*(7 + 1).
14
Calculate the remainder when 2/(-3) + 179/3 is divided by 10.
9
Let b = 4 - 7. Let k(i) = -i**3 - 3*i**2 + i + 4. What is the remainder when 2 is divided by k(b)?
0
Suppose -g - 2*g + 36 = 0. Let f be (-8)/(-48) - (-106)/g. Suppose v + 4 - f = 0. Calculate the remainder when 9 is divided by v.
4
Let w(a) = -7*a + 2. Let i be w(4). Let v = -10 - i. Suppose v - 2 = 2*s. What is the remainder when 12 is divided by s?
5
Let h = 5 - 6. Calculate the remainder when 48 is divided by (h - -6)*(0 - -5).
23
Let s = -19 - -25. Calculate the remainder when 38 is divided by s.
2
Suppose -2*u + u - 19 = 0. Let r = -4 - u. What is the remainder when 87*(-1 - 8/(-6)) is divided by r?
14
Let u = -27 + 30. Calculate the remainder when 4 is divided by u.
1
Let s be 3/(-2 + 10/6). Let m = 17 - -3. Let w = m + s. Calculate the remainder when 31 is divided by w.
9
What is the remainder when 49 is divided by (-79)/(-3) + (-9)/27?
23
Let u(k) = -k**3 - 5*k**2 - 3*k + 5. Suppose -3*l - 2*l - 25 = v, -4 = 4*v - 4*l. Calculate the remainder when 39 is divided by u(v).
19
Suppose -5*o + 18 = -3*x - 57, 3*o = 2*x + 46. Suppose -4*c + 2*c = -70. Calculate the remainder when c is divided by o.
11
Let k(m) = -3*m + 10. Let c(w) = -w**3 + w**2 - 2*w + 1. Let r be c(2). Calculate the remainder when k(r) is divided by 11.
9
Let j(i) = i**3 - 3*i + 14. What is the remainder when 41 is divided by j(0)?
13
What is the remainder when 44 is divided by (120/25)/(3/10)?
12
Suppose -32 = 10*o - 12*o. What is the remainder when 62 is divided by o?
14
Suppose 0*j - 2*j = -2. Let d = 126 - 122. What is the remainder when d is divided by j?
0
Let r(p) = -p**3 - 2*p**2 - 5*p - 2. Let i(y) = -y**2 - 21*y + 39. Calculate the remainder when r(-4) is divided by i(-22).
16
Suppose 4*l - 337 = -3*r, 2*l - l + 4*r = 81. Suppose c = p - 6 - 20, 4*c = -5*p + l. What is the remainder when 61 is divided by p?
19
Let b(s) = -s + 7. What is the remainder when b(6) is divided by 1?
0
Suppose -2*g = -g - 14. Suppose -5*k - 50 = 5*r, 0 = -0*r + 2*r - k + 8. Let q = r - -11. What is the remainder when g is divided by q?
4
Let c = -57 + 62. Calculate the remainder when 16 is divided by c.
1
Let r(a) = -a**3 - 3*a**2 + 8*a - 5. Let x be r(-5). Suppose -5*z + 40 = x. Calculate the remainder when z is divided by 3.
1
Let u(o) = -3*o + 6 + 2*o + 4 + 2*o - o**2. Calculate the remainder when 19 is divided by u(0).
9
Let z(h) = h**2 + 4*h + 13. Calculate the remainder when z(-7) is divided by 12.
10
Suppose -h + 170 = 4*h. What is the remainder when h is divided by 14?
6
Let s = 4 - -8. Calculate the remainder when 3/(-1)*102/(-9) is divided by s.
10
Let f = -28 - -47. Suppose i = 2*a + 3, 0 = -4*i - 5*a + 14 + 24. Calculate the remainder when f is divided by i.
5
Suppose 0 = -4*x + 129 + 307. What is the remainder when x is divided by 10?
9
Let n = 9 - 4. What is the remainder when 7 is divided by n?
2
Let h = -6 - -29. Calculate the remainder when 113 is divided by h.
21
Suppose -7 = -3*o + 17. Calculate the remainder when 30 is divided by o.
6
Suppose -2*g = -4*g. Let j(a) = -a**3 + a + 12. What is the remainder when 34 is divided by j(g)?
10
Suppose -103 - 24 = -3*p - x, -4*p + 4*x + 164 = 0. Let b = -6 + 17. What is the remainder when p is divided by b?
9
Suppose 20*z = -0*z + 280. Suppose -2*i + 110 = -0*i. Calculate the remainder when i is divided by z.
13
What is the remainder when 89 is divided by 4/12 + (-267)/(-9)?
29
Suppose -147 = -8*r + r. What is the remainder when r is divided by 11?
10
Let s = -23 - -26. Calculate the remainder when 2 is divided by ((-4)/s)/((-18)/27).
0
Suppose 7*t = 78 + 41. Calculate the remainder when 36 is divided by t.
2
Suppose 12 = 2*r - 26. Calculate the remainder when 37 is divided by r.
18
Suppose -2*a + 48 = a. Calculate the remainder when a is divided by 4.
0
Suppose -2*v + 51 = 3*b, -4*v + 3*v = 4*b - 13. Suppose 0 = -0*i + 5*i, -3*p = -i - 54. What is the remainder when v is divided by p?
15
Let z = 35 - -20. What is the remainder when z is divided by 14?
13
Let u be (-9)/(-3)*10/6. Let o(y) = -u*y + 1 - 3 - 1. Calculate the remainder when 32 is divided by o(-4).
15
Suppose -5*i + 16 = -i. Suppose 39 = -w + i*w. What is the remainder when w is divided by (-52)/(-10) - 3/15?
3
Let t(w) = -4*w + w**2 + 6*w + 8 - 2*w. What is the remainder when t(-6) is divided by 15?
14
Let m(j) = -6*j. What is the remainder when 57 is divided by m(-5)?
27
Suppose 0 = p - 6*p + 125. Calculate the remainder when p is divided by 7.
4
Let u(d) = 31*d. Suppose 3*a - 5 = -2*a. Calculate the remainder when u(a) is divided by 16.
15
Suppose 3*i = -2*q + 189, -315 = -6*i + i + 2*q. What is the remainder when i is divided by 33?
30
Let x(b) = -b**2 + 6*b + 9. Let p be x(7). Suppose 17 - 87 = -p*i. Suppose g - 4*g + 37 = -f, 0 = -5*g - 2*f + 58. What is the remainder when i is divided by g?
11
Let b(p) = 3*p - 4. Suppose 0 = -2*u + 12 + 4. Calculate the remainder when u is divided by b(3).
3
Let g(o) = o**2 + 4*o. Let r(b) = -b**2 + 4*b - 6. Let i be r(4). Let z(u) = u + 5. Calculate the remainder when g(i) is divided by z(0).
2
Let a(h) = -h + 8. Let t(k) = -k**3 + 3*k**2 + 4*k + 3. Let n be t(4). Let s(o) = -o**3 - 5*o**2 - 3*o + 4. What is the remainder when s(-5) is divided by a(n)?
4
Suppose 4*k - k - 36 = 0. Let i(w) be the second derivative of w**5/20 - w**4/12 + 7*w**2/2 + 2*w. Calculate the remainder when k is divided by i(0).
5
Let h(w) = -16*w + 1. Let d = -3 - -3. Calculate the remainder when (18 + d)*(-16)/(-6) is divided by h(-1).
14
Suppose -u + 5*t + 12 = -3*u, -2*u + 4*t + 24 = 0. Let r be 3/2*u/2. Suppose -q - 