. Let m(x) = -x**2 + 17*x - 37. What is the remainder when z is divided by m(12)?
20
Suppose -18*g + 811 = -251. Suppose 4*q = -q - 5, -a + 12 = 3*q. What is the remainder when g is divided by a?
14
Let r be 8 - 11 - -1*(9 + 2). Suppose -4 = 2*a, r*u - 3*u + 5*a - 115 = 0. What is the remainder when 45 is divided by u?
20
Let y = 22 + -15. Let m(u) = y*u - 14*u + 8*u + 12. Calculate the remainder when 26 is divided by m(-5).
5
What is the remainder when 57 is divided by (-4*(11 + -7))/(2/(-3))?
9
Let l(x) = x**3 + x**2 + 4*x + 4. Suppose 0 = -3*s, 2*k - 26 = -0*k + 5*s. What is the remainder when k is divided by l(0)?
1
Let b(f) = -f**3 + 6*f**2 + 16*f - 3. Let q be b(8). Let i = 43 + q. Calculate the remainder when i is divided by 14.
12
Suppose h - w = 4, 6*h = h - 2*w + 6. Let l = h - 5. Calculate the remainder when 10 is divided by ((-54)/(-24))/(l/(-8)).
4
Let z(w) = -8*w - 5. Let t = -29 + 27. Calculate the remainder when 29 is divided by z(t).
7
Let v(x) be the third derivative of x**6/120 - x**5/60 + x**4/8 + x**3/2 - 12*x**2. What is the remainder when v(3) is divided by -6*(1 - (-11)/(-3))?
14
Let l(s) = -s + 16. Let r be l(12). Suppose 0 = -4*g + 3*g - r*p + 1, 3*p = -3*g + 39. What is the remainder when 49 is divided by g?
15
Let j = 4947 + -4930. What is the remainder when (-3 - -4)/(2/62) is divided by j?
14
Suppose 0 = -5*d - 5*n + 235, n + n = 2*d - 86. Suppose 0 = 5*c - 0*c + 40. Calculate the remainder when 51 is divided by c/(-10)*d/2.
15
What is the remainder when 8/16*2*78 is divided by 33?
12
What is the remainder when (-3 - 1) + 49 + (3 - 2) is divided by 12?
10
Suppose 0*q + 3*q = -72. What is the remainder when -1 - (-15 - -1*(3 + 0)) is divided by (-2)/(-8) - 90/q?
3
Let f(x) = -x**3 - 19*x**2 - 43*x - 43. Calculate the remainder when f(-17) is divided by 36.
2
Suppose 5*u = 3*s - 154, -2*u - 200 = -5*s - 5*u. What is the remainder when 386 is divided by s?
42
Let t(r) = 20*r**2 + 36*r - 238. Calculate the remainder when t(6) is divided by 18.
14
Suppose -18*l + 23*l + a - 43 = 0, -l + 5*a + 19 = 0. What is the remainder when 82 is divided by l?
1
Let g(v) = -v + 53. Let t be g(5). Suppose 10 = -z + 3*z. Suppose 0*u = z*u + 2*s - 91, -2*u + 5*s + t = 0. Calculate the remainder when u is divided by 11.
8
Let u = 421 - 248. Calculate the remainder when u is divided by 52.
17
Let r = -7 + 9. Let l be 1 + 18 + r + -4. Suppose -2*k + l = c, 3*c + k + 4 = 55. Calculate the remainder when 66 is divided by c.
15
Let j(r) = 2*r - 2. Let a be j(2). Suppose -5*d = 2*h - 102 + 11, a*d = h - 68. What is the remainder when h is divided by 21?
16
Suppose 608 = -6*x + 1652. Let p = x + -104. Calculate the remainder when p is divided by 18.
16
Suppose 0 = j - 25 - 10. Let m = j + -13. Calculate the remainder when 64 is divided by m.
20
Suppose 4*a + 17 = 2*w + 7*a, 4*w - 59 = -a. What is the remainder when 35 is divided by w?
3
Let j = 108 - 64. Let f = -34 + j. What is the remainder when 67 is divided by f?
7
Suppose 72965 = 108*i + 10109. What is the remainder when i is divided by 42?
36
What is the remainder when 54 is divided by 6*(-2)/(-12)*34?
20
Let t(z) = 62*z - 1410. What is the remainder when t(23) is divided by 0 + -1 - (-14)/2?
4
Let f(d) = -3*d**2 - 9*d + 12. Let r(p) = 2 + p**2 - 2. Let x(j) = f(j) + 2*r(j). Calculate the remainder when x(-9) is divided by 3.
0
Let c = -135 + 194. Calculate the remainder when c is divided by 11.
4
Let n = 43 - 26. Let s = -133 + 250. Let r = s - 51. Calculate the remainder when r is divided by n.
15
Suppose 0 = 3*g - 4 - 14. Suppose -3*v = g - 3. What is the remainder when (4/(12/(-69)))/v is divided by 8?
7
Suppose -2*q - q = -18. Let b be 2/12 - (-5)/q. What is the remainder when (b/2)/(3/300) is divided by 13?
11
Let u(j) = 18*j - 95. Calculate the remainder when (16 + 1)/(2/6) is divided by u(6).
12
Let b(s) = -s**3 + 17*s**2 - 52*s + 19. Calculate the remainder when 132 is divided by b(13).
18
What is the remainder when 37 is divided by 98/12 - 34/204?
5
Suppose -2*b + 6 + 2 = 0. Suppose -5*j + 2*l + 177 = 0, j = -b*j - 5*l + 170. Calculate the remainder when 101 is divided by j.
31
Suppose -731 = -36*d - 7*d. What is the remainder when 201 is divided by d?
14
Let v(w) = -2*w**2 + 28*w + 17. Let u be v(14). Suppose 2*r = 4*p + 31 + 33, 3*r - 4*p - 88 = 0. Let d = r - u. Calculate the remainder when d is divided by 4.
3
Let l(c) = -c - 1. Let h = -28 - -33. Suppose 15 = 4*m - m, -h*v + 30 = -m. What is the remainder when v is divided by l(-6)?
2
Suppose 59 = -9*o + 230. Calculate the remainder when o is divided by 11.
8
Let g(y) be the first derivative of -y**4/4 - 7*y**3/3 + 2*y**2 + 10*y + 6. Calculate the remainder when g(-8) is divided by 4.
2
Suppose 12 = -g - 3*k, -3*g - 16 = 5*k + 4. Suppose g = 4*b + b. Suppose b = t + t - 16. Calculate the remainder when t is divided by 5.
3
Let t = 67 - 63. Calculate the remainder when 122 + -8 + t + -3 is divided by 29.
28
Suppose -3*b + n = -187, -4*b + 8*b - 5*n - 231 = 0. What is the remainder when b is divided by 13?
12
Suppose -14*z + 279 = -43. What is the remainder when 63 is divided by z?
17
Let o(d) = d**2 - 11*d + 3. Let b be o(12). Suppose 3*t = c - 3, c + c + 3*t = b. Calculate the remainder when ((-23)/3)/((-2)/6) is divided by c.
5
Let v be -94*(3/6 + -1). Suppose -3*p - d + v = 0, 5*p = -0*p - 5*d + 65. Let q = -101 + 166. What is the remainder when q is divided by p?
14
Let h(v) = v**3 - 33*v**2 + 118*v - 41. Let r = 109 - 28. What is the remainder when r is divided by h(29)?
13
Let q(d) = -10*d + 240. Calculate the remainder when 134 is divided by q(13).
24
Suppose -59 = -2*i - 4*k + 57, 5*k - 171 = -3*i. What is the remainder when 100 is divided by i?
48
Let x = -1891 - -1916. Calculate the remainder when 99 is divided by x.
24
Let p(s) = 2*s**2 + 66*s + 107. What is the remainder when p(-40) is divided by 96?
91
Let k = 1618 + -1564. Calculate the remainder when 1131 is divided by k.
51
Let k(c) = c**3 - 12*c**2 + 10*c + 15. Let j be k(11). Calculate the remainder when 221 is divided by (5 - 33)*(-2)/j.
11
Let f(s) = s**3 + 6*s**2 + 3*s - 11. Let t be f(-5). Let g(a) = 17*a**2 - 4*a - 2. Calculate the remainder when 111 is divided by g(t).
16
Suppose 5*b - 157 = 183. Let h = b + -3. What is the remainder when h is divided by 34?
31
Suppose -5*o + 111 = -2*j, 4*j - 3 - 5 = 0. What is the remainder when 90 is divided by o?
21
Let r(t) = t**2 + 5*t + 4. Suppose 0 = -3*l + 3 + 51. Calculate the remainder when l is divided by r(-6).
8
Calculate the remainder when 827 is divided by -11 - -20 - -19 - -4.
27
Let g(b) = b**2 + b + 12. Let n be g(0). Suppose -340 + n = -8*s. Calculate the remainder when s is divided by 14.
13
Suppose -4*r = -2*f - f - 7, 2*f - 2*r = -4. Let v = 325 - 269. Calculate the remainder when v is divided by 12*(f/(-4) + 1).
11
Let p(r) = -5*r + 30. What is the remainder when 768 is divided by p(-5)?
53
Let q(w) = 2*w**2 - 24*w - 12. What is the remainder when 27 is divided by q(13)?
13
Let y be -18*(1/(-3) + 0). Let l be 155 + 9 + 2/(-1). Calculate the remainder when 10 is divided by y/10 - l/(-30).
4
Suppose 28*c - 2684 = -33*c. What is the remainder when 217 is divided by c?
41
Let v(q) = -21*q**3 + q**2 - 2*q + 1. Let i be v(-2). Suppose -i = -4*a + 39. Calculate the remainder when a is divided by 11.
10
Let q = 19 - 13. Suppose 205 = 11*m - q*m. Suppose 0 = -5*t + d + m, -3*d + 4*d - 15 = -2*t. Calculate the remainder when 14 is divided by t.
6
Suppose -4*c = -201 - 11. What is the remainder when 171 is divided by c?
12
Let d = -572 - -585. What is the remainder when 270 is divided by d?
10
Calculate the remainder when 140 is divided by 54 - (-23)/(184/(-48)).
44
Let q(o) = -13*o + 18. Calculate the remainder when q(0) is divided by 3.
0
Let f be (40/(-8))/(0 - 1). Let y(h) = 93*h + 3. Let m be y(f). Suppose -i = -5*i + m. What is the remainder when i is divided by 24?
21
Let j be 0/((-2)/(-2) - 3). Suppose -5*h + 5*o - 75 = 0, j = -4*h - 2*o + o - 45. Let q(n) = -12*n - 5. What is the remainder when q(h) is divided by 35?
34
Let s = -1791 - -1853. Calculate the remainder when s is divided by 8.
6
Let f = -68 - -116. What is the remainder when 76 is divided by f?
28
Let o be (-3)/(-18) - 35/(-6).