is divided by q.
20
Let h = 68 + -62. Let x(s) = -3*s - 6. Calculate the remainder when x(-5) is divided by h.
3
Suppose 4*q = 4*w - 48, -q - q = 3*w - 21. Let p = w + 7. What is the remainder when p is divided by 9?
7
Suppose 0 = -4*n - 2*j + 764, n - 5*j - 25 = 155. Calculate the remainder when n is divided by 24.
22
Let k = 51 + -31. What is the remainder when 38 is divided by k?
18
Let n = 0 + 4. Suppose -n*i - 5 = 3*s, 0 = -5*s - i - 4*i. Calculate the remainder when (-2)/s - (-54)/10 is divided by 2.
1
Let h(r) = -7*r**2 - r + 2. Let a be h(-2). Let o = 60 - 25. What is the remainder when o is divided by (2/4)/((-1)/a)?
11
What is the remainder when 47 is divided by (4/(-3))/((-2)/18)?
11
Suppose -o - 80 = -6*o. Let f be (-6)/2*(0 + -1). Suppose -f = -i + 3. Calculate the remainder when o is divided by i.
4
Suppose -3*z + 0*z + 6 = 0. Suppose -z*p + 30 = 8. Suppose 217 = 12*o - 5*o. Calculate the remainder when o is divided by p.
9
Let q(w) = w**3 - 2*w**2 + 2*w - 3. What is the remainder when 34 is divided by q(3)?
10
Suppose -6*w + w + 105 = 3*k, -5*k - 3*w + 159 = 0. What is the remainder when 55 is divided by k?
25
Let g = 35 + -23. Let h(s) = 36*s**3 - 2*s**2 + s. Suppose -3*w - 5*f = -7 - 16, 5*w - 4*f + 11 = 0. What is the remainder when h(w) is divided by g?
11
Suppose -20 = -o - 0. What is the remainder when 77 is divided by o?
17
Suppose -4 = j, -j = 4*m + j - 92. Suppose 5*s = -52 + 297. Calculate the remainder when s is divided by m.
24
What is the remainder when ((-1516)/(-10) - -1) + 82/205 is divided by 39?
36
Let j be (-8)/(-36) - (-34)/9. Suppose j*m - 3*d - 65 = 0, 3*m = -d + 2*d + 50. Let c = 15 + -9. What is the remainder when m is divided by c?
5
Suppose 46 - 122 = -4*c. Calculate the remainder when 54 is divided by c.
16
Let b(p) = 9*p + 11. What is the remainder when b(8) is divided by 21?
20
Suppose 6*m = 2*m + 204. What is the remainder when m is divided by 27?
24
Suppose 4*f - 3*f = 0. Suppose f*v - 2*v + 26 = 2*t, v - 3 = t. Calculate the remainder when 14 is divided by v.
6
Suppose -7 - 5 = 3*f. Let l = -12 - f. Let t = l - -13. What is the remainder when 12 is divided by t?
2
Let r = -52 - -82. Let s(n) = 2*n + 1. Calculate the remainder when r is divided by s(5).
8
Suppose 4*l = 4*f - 128, -4*f + l = 5*l - 152. Let w = -25 + 43. What is the remainder when f is divided by w?
17
Suppose -4*m + 9 + 59 = 0. What is the remainder when 49 is divided by m?
15
Let p be 1 + 29 + 1/(-1). Suppose 5*d - 2*a + 63 = 0, 4*d + 56 = -6*a + 2*a. Let g = d + p. What is the remainder when g is divided by 6?
4
Suppose 0 = 5*z - z. Suppose -24 = -z*o - 3*o. Suppose 0 = 2*p + 2*x - 38, -3 - 17 = -5*x. Calculate the remainder when p is divided by o.
7
Let x(y) = y**2 + 6*y + 3. Let u be x(-6). Suppose 0*a + 2*i + 3 = a, u*a = i + 19. Calculate the remainder when 20 is divided by a.
6
Let u(w) = w**2 - 2*w - 1. Calculate the remainder when u(-6) is divided by 8.
7
Suppose -p = 8*p - 504. Calculate the remainder when 334 is divided by p.
54
Let o(b) = -b**3 - 4*b**2 + 2*b + 12. What is the remainder when o(-5) is divided by 8?
3
Let l be 122/4 + (-42)/(-28). Let s = l + -8. Calculate the remainder when 45 is divided by s.
21
Let l be 63/(-36)*16/(-2). Let r = l - 12. Calculate the remainder when 5 is divided by r.
1
Suppose -q + 422 = -3*p + 3*q, 3*p + 418 = 2*q. Let d = -70 - p. Suppose -4*x + 4*c = -d, x + 3 + 4 = -5*c. What is the remainder when 38 is divided by x?
12
Let x be (-1)/((-2)/(-10)*-1). Suppose 3*r + 82 = x*r. Suppose -2*h + 36 = 8. Calculate the remainder when r is divided by h.
13
Let f(h) = 2*h**2 + 4*h - 8. Calculate the remainder when 20 is divided by f(-4).
4
Let d be (-4 - -2 - -6) + 0. Suppose -4 - 4 = -d*u. Suppose 5*o = 5, -2*o = u*b + 31 - 77. Calculate the remainder when 64 is divided by b.
20
Let f = 26 + -10. Let o = -45 - 7. Let a = o - -83. What is the remainder when a is divided by f?
15
Let r(n) = n**3 + n**2 + 2*n - 2. Let b(p) = -p**3 + 8*p**2 - 3*p - 1. Calculate the remainder when b(6) is divided by r(2).
11
Let p = 149 + -135. Calculate the remainder when 68 is divided by p.
12
Suppose 4*x = -z + 50, -2*x - x = z - 37. Let o = x - -2. Calculate the remainder when 59 is divided by o.
14
Let w(x) be the third derivative of x**5/60 + x**4/4 + x**3/2 - 3*x**2. Calculate the remainder when 8 is divided by w(-6).
2
Suppose 3*d - 122 + 38 = 0. Let n = d - 4. Calculate the remainder when n is divided by 13.
11
Let m be 8/4 + (-30)/1. Let z be (-8)/m - (-766)/14. Suppose 4*f = -f + z. What is the remainder when 31 is divided by f?
9
Let y(v) = v**2 - 9. Suppose 0 = -n - n + 2. Let g = 8 - n. Calculate the remainder when y(g) is divided by 14.
12
Suppose -2*u + s + 4 = 4*s, 4 = 2*u - s. Suppose 14 = u*x - 30. Calculate the remainder when 42 is divided by x.
20
Let l(x) = 11*x**3 - x**2 + 1. Suppose 0*s + 4*s - 4 = 0. Suppose 5*m + 5*j - 132 = -12, 4*m - 4*j = 64. What is the remainder when m is divided by l(s)?
9
Suppose 2*h + 3 - 31 = 0. Calculate the remainder when 80 is divided by h.
10
Calculate the remainder when (-184)/(-3) + (-5)/15 is divided by 21.
19
Suppose 2*l = 5*l - 5*v - 32, -2*v - 20 = -3*l. Suppose -p + 65 = l. Calculate the remainder when p is divided by 16.
13
Let t(g) = 4*g**2 + 2*g + 1. Suppose -3*v - 11 = -f, 8*v = 5*v - 3. What is the remainder when f is divided by t(-1)?
2
Let r = 70 - 32. Calculate the remainder when r is divided by 11.
5
Suppose -33 = -101*x + 100*x. What is the remainder when x is divided by 6?
3
What is the remainder when 133 is divided by (172/(-3))/(-2) - 6/9?
21
Let b(d) = -d**2 + 5*d - 5. Let o be b(4). What is the remainder when (-327)/(-15) - o/5 is divided by 6?
4
Suppose 2*b - b - 16 = 0. Calculate the remainder when 61 is divided by b.
13
Suppose -9 = -k + 3. What is the remainder when ((-4)/(-10))/((-1)/(-55)) is divided by k?
10
Suppose -c - 4*p = -36, -2*c + 2*p = p - 90. What is the remainder when 131 is divided by c?
43
Let v(x) = 38*x**3 + 2*x**2 - 2*x + 1. Let u be v(1). Suppose 0 = 5*m - u - 51. Suppose -2*l = 2*l - 136. Calculate the remainder when l is divided by m.
16
Let k = -28 - -66. Calculate the remainder when k is divided by 3.
2
Let a be (-20)/(-4)*(-12)/10. Let w = 3 - a. What is the remainder when 25 is divided by w?
7
Let a(n) = n + 2. Let g be a(10). Suppose 0 = -5*i + 8 + g. Suppose -4*h + 0 = v - 2, i = 2*v + 4*h. What is the remainder when v is divided by 1?
0
Suppose d - 2*h + 4 = -2*d, 0 = -4*d - 3*h + 6. Calculate the remainder when 4/(12/45) + 0 is divided by 4/(d + 1/2).
7
Suppose -4*n + 2*w = 4*w - 30, 4*w + 6 = 3*n. Suppose j = 3*j - 5*c - 15, 4*c = j - n. What is the remainder when j is divided by 6?
4
Calculate the remainder when 32 + 1/1 + 0 is divided by 18.
15
Suppose -u - 3*u = -224. Suppose 5*s - u - 354 = 0. What is the remainder when s is divided by 21?
19
Calculate the remainder when 54 is divided by ((-630)/75)/(6/(-20)).
26
Let z(b) be the third derivative of 0*b**4 + 1/60*b**5 - 1/6*b**3 + 0*b - 1/40*b**6 + 0 + 3*b**2. What is the remainder when z(-2) is divided by 14?
13
Let c be (-8)/3 + 4/6. Suppose 2*n - 29 = 15. Calculate the remainder when n is divided by (8 - 0)*(c + 3).
6
Let k = -11 + 17. Let i(g) = 10*g + 6. What is the remainder when i(k) is divided by 23?
20
Let g(k) = k - 2. Suppose 0 = 3*b + 2*b - 5. Calculate the remainder when g(3) is divided by b.
0
Calculate the remainder when 96 is divided by 9/(-6) - (-101)/2.
47
Suppose -2*l = -m - 7*l + 11, -5*m + 3*l = 1. Let p(x) be the first derivative of 6*x**4 + x**2 - x + 1. What is the remainder when p(m) is divided by 9?
7
Let m = 22 - 14. What is the remainder when 41 is divided by 44/3 - m/12?
13
Let h(u) be the second derivative of u**4/3 + 4*u. Suppose -5*d - 12 = m, -5*d - 9 = -m - 3*d. Calculate the remainder when h(1) is divided by m.
1
Let t = -6 - -5. Let f = -1 - t. Suppose k = 2 - f. What is the remainder when 4 is divided by k?
0
Let s(f) = 7*f**2 - 2*f - 2. Let l be s(-2). Suppose 20 = -5*k, -2*k = -g + 4*g - 79. Let v = g + l. What is the remainder when v is divided by 20?
19
Let t = 0 + 11. Let a(b) = -b**3 + b**2 - b + 1. Let u be a(0). Suppose 0 = 3*y - 3*s - 75, -5*s + u = -0*y + y. Calculate the remainder when y is divided