h.
2
Let j(h) = h**2 - 5*h - 3. Let d be j(6). Suppose d*o - 8*o = -3*k + 67, 0 = k - o - 19. Calculate the remainder when 55 is divided by k.
13
Suppose -10 = -2*r - 0*r. Let b(v) = v**3 - 4*v**2 - 4*v + 2. What is the remainder when b(r) is divided by 2?
1
Let g = 83 - 38. Calculate the remainder when g is divided by 16.
13
Suppose c - 3*k + 1 - 15 = 0, 13 = 5*c + 4*k. What is the remainder when 23 is divided by c?
3
Suppose 2*b = h + 52, -h - 2 - 2 = 0. Calculate the remainder when b is divided by 13.
11
Let t be ((-8)/(-10))/(4/10). Suppose 5*o - 45 = 2*f + t*f, 0 = 4*f. Calculate the remainder when o is divided by 5.
4
Suppose -64 + 208 = 2*t. Calculate the remainder when t is divided by 19.
15
Let o(w) be the second derivative of w**3 + 2*w**2 + 3*w. Let y be o(-5). Let d = y - -37. What is the remainder when 21 is divided by d?
10
Let s = 6 + -24. Calculate the remainder when -1*(-1)/((-1)/(-23)) is divided by (s/(-21))/((-2)/(-28)).
11
Suppose 5*r = -l + 97, -5*r - 4*l + 8 = -4*r. What is the remainder when 78 is divided by r?
18
Let o(v) = -v**2 + v + 4. Let z be o(0). Suppose -35 = -5*g + 5*b, -8*b = -5*g - z*b + 36. What is the remainder when 14 is divided by g?
6
Let p(o) = -o**2 - 2*o + 5. Let g be p(-5). Let w = 15 + g. Calculate the remainder when 7 is divided by w.
2
Let w be ((-2)/(-2) + -2)*-613. Let i = -437 + w. Suppose 0 = -4*h + n - 6*n + i, -3*h + 132 = -5*n. What is the remainder when h is divided by 23?
21
Calculate the remainder when (-5)/15*(-1 + -113) is divided by 20.
18
Let d(b) = 3*b**2 - 1. Calculate the remainder when d(-4) is divided by 16.
15
Calculate the remainder when (5/4*15)/((-33)/(-176)) is divided by 27.
19
Let a = 18 - 12. What is the remainder when a is divided by 2?
0
Let b = 2 + 0. Suppose 20 = 30*l - 25*l. What is the remainder when l is divided by b?
0
Let c = 2 + 0. Suppose -c*i - 4*j = -22, 2*i + 3*i - 5*j = 100. What is the remainder when 20*(2 - 4/(-8)) is divided by i?
16
Suppose -6 = -z + 4*o + 2, -5*z + 2*o + 58 = 0. What is the remainder when 46 is divided by z?
10
Let v(y) be the first derivative of -1/3*y**3 + 2 + 0*y**2 + 11*y. What is the remainder when 20 is divided by v(0)?
9
Let o be (4/6)/(1/144). Suppose 0*b = -3*b + o. Calculate the remainder when b is divided by 17.
15
Let k(s) = 27*s**2 + 2*s + 1. What is the remainder when 88 is divided by k(1)?
28
Suppose -4*l - 2 = 3*u - 16, 2*u + 2*l - 8 = 0. Calculate the remainder when 5 is divided by u.
1
Let w(b) = b**2 - 25. What is the remainder when w(6) is divided by 6?
5
Suppose 26 = -2*n + 2. Let k = 33 + n. Calculate the remainder when k is divided by 8.
5
Suppose 4*l + 3*l = 364. What is the remainder when l is divided by 6?
4
Let g = 18 - 6. Suppose 28 = o + g. Calculate the remainder when 31 is divided by o.
15
Let v(t) = -t - 5. Let l be v(-5). Suppose -2*z - 3 + 35 = l. What is the remainder when z is divided by 9?
7
What is the remainder when ((-7)/(14/(-8)) + -82)*-1 is divided by 28?
22
Suppose 29*w = 30*w - 18. What is the remainder when 34 is divided by w?
16
Let g be (1 - -3)*15/2. Let y = g + -15. What is the remainder when 13 is divided by 50/y - (-4)/6?
1
Suppose 0 = -3*f - 3*m + 12, 4*m + 20 = -f + 3*f. Let r(t) = -4*t + 7. Let o be r(f). Let v = o - -30. Calculate the remainder when 23 is divided by v.
10
Let i = 151 - 45. Let h = -57 + i. Calculate the remainder when h is divided by 13.
10
Let l(d) be the second derivative of -d**3/6 + 31*d**2/2 + 2*d. What is the remainder when 60 is divided by l(0)?
29
Let x(f) = 7 + 4*f**2 + 5*f - 3*f**3 + 5*f**3 - f**3 + 4*f**2. What is the remainder when x(-6) is divided by 25?
24
Suppose -3*v + 10 = -2. Suppose -5*f = -2*d + 36, f = -2*d + 8 + v. What is the remainder when d is divided by 3?
2
Let w(p) = -27*p - 10. Let d be w(-7). Let u = d + -127. Calculate the remainder when u is divided by 18.
16
Let p(t) = 3 - 2 - 2 + 0 + 19*t. What is the remainder when p(1) is divided by 7?
4
Suppose -10 = -5*w - 0*w, 5*w = -5*b + 5. Let l = 27 + -27. Calculate the remainder when (8 - b) + l - 0 is divided by 6.
3
Suppose 5*x - 66 = 4*u, 3*x = -0*x - 4*u + 14. Let i(v) = -7*v - 1. Let d be i(-1). Let p = -2 + d. What is the remainder when x is divided by p?
2
Let y = -28 - -39. Let a(b) = 3 + 5 + 3 - b. What is the remainder when y is divided by a(7)?
3
Suppose n + 3 = 1. Let v = 6 - n. Suppose -2*x + 20 = a + 3*a, 2*x + 3*a = 22. Calculate the remainder when x is divided by v.
6
Suppose h = -h + 28. Calculate the remainder when 38 is divided by h.
10
Let s(h) = -10*h - 52. What is the remainder when 62 is divided by s(-6)?
6
Suppose -3*h - 4*w + 0*w + 155 = 0, -4*w - 244 = -4*h. What is the remainder when h is divided by 21?
15
Let l = 72 + 82. Calculate the remainder when l is divided by 39.
37
Calculate the remainder when 57 is divided by (270/(-9))/((-4)/2).
12
Let c be (-2)/11 - (-96)/44. Suppose -3*b - 11 = -c. Calculate the remainder when 25 is divided by -1*1*39/b.
12
Let p = 9 - 3. Suppose 5*o - 34 = p. What is the remainder when 12 is divided by o?
4
Let b(p) = p**3 - 4*p**2 + 4. Suppose -4*c + 4*i + 48 - 12 = 0, 2*c + 3*i = 28. Calculate the remainder when b(5) is divided by c.
7
Let h(o) = o**3 + 6*o**2 + o - 5. Let n be h(-5). Suppose 5*i - 11 = 59. What is the remainder when i is divided by (4/(-12))/((-1)/n)?
4
Let s = 0 + 6. Let u = 77 + -72. What is the remainder when s is divided by u?
1
Let k(r) = r**2 - 9*r + 3. Let o be k(6). Let l = -6 - o. Suppose -l = -3*w, 0*m + 5*w = 2*m - 21. Calculate the remainder when 34 is divided by m.
16
Suppose 33 = 2*m + 5*w, m - 3*w - 4 = 7. Let f = m + 11. Suppose n - 1 - 21 = -3*o, -n = 4*o - 27. Calculate the remainder when f is divided by n.
4
Suppose 0 = -4*y + 2*y - 156. Let z = -56 - y. Suppose -5*q + 212 = -v, -6*q = -q + v - 218. Calculate the remainder when q is divided by z.
21
Suppose -12*z + 144 = -4*z. Calculate the remainder when 34 is divided by z.
16
Let n(y) = y**3 - y. Let w be n(-3). Let i = w + 43. Calculate the remainder when i is divided by 5.
4
Let h(w) = w**2 + 6*w - 2. What is the remainder when h(6) is divided by 24?
22
Let g(x) = -x + 16. Let q be g(-15). Suppose -q = -w - 3*t - 7, w + t - 18 = 0. What is the remainder when 26 is divided by w?
11
Let x(o) = o**2 + 5*o - 3. Let d(u) = 0 + 0*u - 2 - 2*u. Let h be d(2). Calculate the remainder when 4 is divided by x(h).
1
Calculate the remainder when 5 + -4 - (1 + -60) is divided by 16.
12
Suppose 0 = -u - 4*u - 35. Let a = u + 11. What is the remainder when 6 - 5 - (-4 + -1) is divided by a?
2
Let m = 0 + 3. Let w(u) = 2 + 2*u + m*u + 0*u. What is the remainder when w(6) is divided by 11?
10
Let u be (-2)/(-4)*4 + 58. Let o = u - 22. Let j(x) = x + 6. What is the remainder when o is divided by j(7)?
12
Let y = 14 + -28. Let f = -9 - y. What is the remainder when (f/(-3))/((-3)/9) is divided by 4?
1
Suppose -5*o + 18 + 23 = 4*m, 3*o = 2*m + 7. What is the remainder when o is divided by (-4 + -2)*-1 + -2?
1
Let g = 60 + -36. Suppose -2*y = -g - 42. Calculate the remainder when y is divided by 12.
9
Let l = 22 + -10. Let y = 17 - l. Calculate the remainder when 17 is divided by y.
2
Let z be (5/(-3))/(11/(-33)). Let k be (-105)/(-9) - 2/3. Suppose -5 = -5*q, -u = q - z*q - k. What is the remainder when u is divided by 4?
3
Suppose 0 = 3*w - 12, -4*d + w - 12 = -0*d. Let o = d + 5. Suppose 2*k - 20 - 69 = -3*y, o*k - 136 = -2*y. What is the remainder when k is divided by 24?
22
Let z = -6 + 11. Let g(r) = -2*r**3 - 5*r**2 - 4*r + 1. Let j(f) = f**3. Let i(h) = -g(h) - 3*j(h). Calculate the remainder when i(z) is divided by 10.
9
Let v(y) = -y**2 + 4*y. Let z be v(3). Suppose -42 = z*k - 5*k. What is the remainder when k is divided by 8?
5
Suppose -5*c + 10*c - 90 = 0. Calculate the remainder when c is divided by 7.
4
Let l(n) = -n**2 + 18*n + 16. Calculate the remainder when l(17) is divided by 12.
9
Let x(a) = -a**3 + 9*a**2 + 10*a + 9. Let u(h) = -5*h. Let f be u(-2). What is the remainder when 34 is divided by x(f)?
7
Suppose -10 = -5*z - 0*z. Suppose 121 = 5*f + 4*l - 12, 0 = -l + z. Calculate the remainder when 98 is divided by f.
23
Let l = 3 + 3. Suppose -i - 245 = -l*i. Let f = i + -34. Calculate the remainder when 29 is divided by f.
14
Suppose