 5*r + 6. Let x(h) be the third derivative of h**4/24 - 7*h**3/6 - h**2. What is the remainder when x(12) is divided by u(4)?
1
Let k(z) = -z**3 + z**2 - z + 10. Suppose 2*y + 3*x = -0*y + 12, 4*y + 16 = 4*x. What is the remainder when -1*(-1)/2*56 is divided by k(y)?
8
Let s(h) = h**2 - 7*h - 10. Let x be ((-16)/(-12))/(2/15). Let z be s(x). Suppose -10 = -2*w + z. What is the remainder when 28 is divided by w?
13
Let k = 13 - 3. What is the remainder when 18 is divided by k?
8
What is the remainder when (10 - -1)*98/7 is divided by 39?
37
Let z = 4 + -5. Let a = z - 4. Let m(l) = l**2 + 4*l + 6. Calculate the remainder when 32 is divided by m(a).
10
Suppose 4*p - h - 18 = 17, 0 = -p - 4*h + 13. Let x(l) = l**2 - 7*l - 4. Calculate the remainder when x(p) is divided by 5.
4
Let h be 8/(-12) - 52/3. What is the remainder when 17 is divided by (-94)/h - 14/63?
2
Suppose -3*o + 3*t + 53 + 4 = 0, 15 = -3*t. What is the remainder when 55 is divided by o?
13
Suppose 3*u - 251 = 1. Let h(o) = 28*o**2 - 2*o - 1. What is the remainder when u is divided by h(-1)?
26
What is the remainder when (1*-71)/(2 + -3) is divided by 24?
23
Suppose -y + 3*w + 0*w + 53 = 0, w = -4*y + 147. Suppose -2*f = 5*p - 3, -4*f - 5*p = -9*f - 10. Calculate the remainder when y is divided by 80/6 - f/(-3).
12
Suppose -13*a + 16*a = 123. Calculate the remainder when a is divided by 6.
5
Suppose 3*a - 50 = -11. What is the remainder when (-44)/(-2) + 3 + -1 is divided by a?
11
What is the remainder when (-60)/(-21)*14/4*4 is divided by 21?
19
Suppose b - 20 = -4*l + 4, 0 = b - 4. Suppose -2*k - 3 = -3*k + 2*z, 3*z - 80 = -5*k. What is the remainder when ((-74)/4)/(l/(-10)) is divided by k?
11
Let i = -172 + 252. Calculate the remainder when i is divided by 27.
26
Let s(o) = -o + 25. Let r(v) = -11*v - 1. Let d be r(-5). Suppose d*l = 53*l + 14. What is the remainder when s(0) is divided by l?
11
Let v(w) = -w**3 - 9*w**2 - 9*w + 5. Let q be v(-7). Let h = q + 42. What is the remainder when 22 is divided by h?
10
Let i be 3/(3/27 - 0). Suppose 0 = 5*p - 3*k - 81, -2*p = -3*k - i - 9. Let q = -6 - -14. Calculate the remainder when p is divided by q.
7
What is the remainder when 3 is divided by (0 + 1)*(14 - 11)?
0
Suppose 14*x + 61 = 15*x. What is the remainder when 181 is divided by x?
59
Suppose -4*q - 43 = 21. Let o = 27 + q. What is the remainder when 19 is divided by o?
8
Suppose 4*w - 3*l + 0*l - 35 = 0, 0 = w + 2*l + 5. Let r = w - -28. Calculate the remainder when r is divided by 18.
15
Suppose -6*v + 10*v = 180. Calculate the remainder when v is divided by 23.
22
Suppose 2*m - 2*t = t + 4, 5 = -m + 5*t. Suppose m*v = 77 + 203. What is the remainder when v is divided by 19?
18
Suppose 8 = 5*g - 12. Suppose 0 = -g*v - v + 25. Suppose -v*q + 79 = -121. Calculate the remainder when q is divided by 14.
12
Let l = 28 + -12. Calculate the remainder when 58 is divided by l.
10
Let p(g) = -g**2 - 1. Let t(s) = -s**3 + 4*s**2 - s - 38. Let k(x) = -5*p(x) - t(x). Calculate the remainder when k(0) is divided by 11.
10
Let g = -4 + 8. Suppose -4*b = -5*b + 3. Suppose 0*h - 4*h - g*p = -76, -b*h + 37 = -p. Calculate the remainder when 27 is divided by h.
13
Suppose -2*w = -4*w + 3*p - 3, 3*w - 3*p + 6 = 0. What is the remainder when 4 is divided by (-3)/(-1 - w/(-6))?
0
Let l = -93 - -97. Calculate the remainder when l is divided by 1.
0
Let f = -32 - -43. What is the remainder when 109 is divided by f?
10
Suppose -50 = -2*b + 10. Suppose 2*p + 0 = 4*s - 44, -4*p + 22 = 2*s. Calculate the remainder when b is divided by s.
8
Suppose 2*z - 4 = 5*p, -10 = 3*z + p - 33. Suppose 0 = -5*c - 3*j + 45, 2*j = 3*c - 20 - z. Suppose 16 = 5*s - s. What is the remainder when c is divided by s?
1
Let z(o) = -o**2 + 10*o - 15. Calculate the remainder when 3*3/((-18)/(-32)) is divided by z(6).
7
What is the remainder when 1 + 35/(-25) + (-531)/(-15) is divided by 20?
15
Suppose -a = 4*n - 85, -2*a = 2*n + 2*a - 32. What is the remainder when n is divided by 6?
4
Let n(p) be the second derivative of p**4/12 - 2*p**3/3 + 5*p**2/2 + 2*p. Calculate the remainder when 50 is divided by n(6).
16
Let u = 19 - 13. Calculate the remainder when (-8)/u*114/(-4) is divided by 13.
12
Suppose 3*u = 5*m - 21, -3*u - 6 = -0*u. Let n = 8 - m. What is the remainder when (16 + -1)*1 + -1 is divided by n?
4
Suppose -5*r + 0*j = 4*j - 94, -26 = -r + j. What is the remainder when 85 is divided by r?
19
Suppose -107 = d - 6*d - 3*h, 5*d + 5*h = 105. Calculate the remainder when d is divided by 8.
6
Let g be (-6)/4*(-6)/(-3). Let u be (1 - g/6)*2. Suppose -2*s + u = -1. What is the remainder when s is divided by 1?
0
Let d = -4 + 7. Suppose h - 32 = d. What is the remainder when h is divided by 12?
11
Suppose 0 = 27*x - 29*x + 42. What is the remainder when x is divided by 9?
3
Let i(t) = -t - 2. Let c be i(-2). Suppose x + 0 - 3 = c. Suppose -x*u = 2*u - 10. What is the remainder when u is divided by 1?
0
Let f(t) = 2 - 3 + 3 + 3*t + 7*t**2. What is the remainder when 28 is divided by f(-1)?
4
Suppose -2*u + 5*d = -51, u - 12 = 3*d + 15. What is the remainder when u is divided by 11?
7
Let s(x) = 22*x - 2. Let m(c) = -1. Let k(f) = -4*m(f) + s(f). What is the remainder when k(2) is divided by 17 - ((-1 - -2) + 0)?
14
Suppose 0 = 2*q - q - 16. What is the remainder when (-644)/(-8) - 6/4 is divided by q?
15
Suppose -3*d + 47 = w, d + 94 = 2*w - d. What is the remainder when w is divided by 10?
7
Let i = -29 - -73. Let h = i + 0. What is the remainder when h is divided by 15?
14
Let k(n) = -n**3 + 5*n**2 + n + 7. Let c(x) be the third derivative of -x**6/120 + x**5/15 - x**3/3 - x**2. What is the remainder when k(5) is divided by c(3)?
5
Let a(q) = -q**3 + q**2 - 2*q + 54. What is the remainder when 160 is divided by a(0)?
52
Let u(o) = o**2 - 7*o + 9. Let x be u(6). Suppose -g = 2*g - x. What is the remainder when 30 is divided by (-8)/3*(-6)/g?
14
Let w(x) = x**3 + x**2 - 3*x - 1. Let l be w(3). Suppose 3*i - l - 4 = 0. Suppose -3*d - i = -4*d. What is the remainder when 28 is divided by d?
8
Let b be (-7)/(-2)*32/56. Suppose -3*i + i = 4*z - 38, 0 = -5*i - b*z + 55. Calculate the remainder when 42 is divided by i.
6
Let h(z) = 5*z**2 + z + 4. Let r be h(-3). Suppose -5*m - 3*f = -131, -r = -3*m - f + 31. What is the remainder when m is divided by 14?
11
Let k(x) = -x**3 + 3*x - 4. Calculate the remainder when k(-4) is divided by 13.
9
Suppose -i + 45 + 18 = 0. Suppose 2*r - i = 5*u, 3*r + u - 83 = -3*u. Suppose 0 = 4*n + n - 50. Calculate the remainder when r is divided by n.
9
Let b = 23 - 11. Calculate the remainder when b/8*82/3 is divided by 15.
11
Suppose 0 = -4*w + 8, -4*a - w + 4*w = -66. Calculate the remainder when a is divided by 7.
4
Let x(b) = b**3 + 3. Let n be x(0). Suppose 4*u = n*u, -3*g + 5*u = -12. Calculate the remainder when g is divided by 2.
0
Let b(u) = -u**3 + 2*u**2 + 3. Let y be b(3). Let i = y - -10. Let x(v) = -v + 1. What is the remainder when x(-4) is divided by i?
1
Let w(n) = -n**2 + n - 1. Let t(o) = o**3 + 2*o**2 - 4*o - 6. Let s(x) = t(x) - 3*w(x). Calculate the remainder when 6 is divided by s(-6).
0
Suppose 4*y = -20, -2*y + 14 = 3*h - 3*y. Suppose -33 = h*w - 6*w. Suppose 16 + 0 = 4*l. Calculate the remainder when w is divided by l.
3
Let u be (-1)/(2 + -3)*6. Let y = 6 - u. Suppose y*f + 5*f = 15. What is the remainder when 11 is divided by f?
2
Suppose -2*c + 0*c = -4. Calculate the remainder when c is divided by 2.
0
Let l = -25 + 58. What is the remainder when l is divided by 9?
6
Let f = 41 - -17. Calculate the remainder when f is divided by (-3)/(-5) - 388/(-20).
18
Suppose -5*y + 26 = 5*d - 54, 3*y - d - 60 = 0. What is the remainder when 170 is divided by y?
18
Suppose 0*m = 3*m + 2*x - 52, 0 = 4*m - 3*x - 41. Let i = 54 + -13. What is the remainder when i is divided by m?
13
Let s(n) = -4*n**3 + 3*n**2 - 3*n - 11. Calculate the remainder when 116 is divided by s(-2).
38
Let m = 6 + -3. Let b = m - 7. Let w = -2 - b. What is the remainder when w is divided by 1?
0
Suppose 4*y + 9 = -7. What is the remainder when 50 is divided by 138/8 + 1/y?
16
Let r be 1 - (0 - (3 - 2)). Suppose 96 = r*c + c. Calculate the remainder when c is divided by 17.
15
Suppose 0 = -5*w + 50 - 5. 