t w(x) = x**2 + 10*x + 112. What is the remainder when w(-11) is divided by 43?
37
Let n = 206 + -129. Let s = n + -61. What is the remainder when 28 is divided by s?
12
Let c be 1 - (1 - -20*5). Let f = c - -142. Let l = 4148 - 4126. Calculate the remainder when f is divided by l.
20
Suppose 24*n = 53*n - 20358. Calculate the remainder when n is divided by 19.
18
Let h(s) = 30*s**3 - 2*s + 1. Suppose 3*m - o = 158, -4*m + 5*o + 204 = 2*o. What is the remainder when m is divided by h(1)?
25
Suppose 0 = 3*p - 5*g - 11, 2 = -2*g + 6. Let s(i) be the third derivative of -i**4/8 + 2*i**3/3 + i**2. What is the remainder when s(-3) is divided by p?
6
What is the remainder when 81 is divided by 45/(-18)*(7 - -1)*-1?
1
Suppose -3*p + 40 + 104 = 0. Suppose p = d + 25. Let g(b) = b**2 + b. Calculate the remainder when d is divided by g(3).
11
Let n(k) = 4*k**2 + k + 2. Let x be n(-1). Let u(l) = -l**3 + 6*l**2 - 3*l + 6. What is the remainder when 75 is divided by u(x)?
11
Let j(c) be the third derivative of -c**6/120 + c**5/6 + 11*c**4/24 + 3*c**3/2 + 20*c**2. Calculate the remainder when 52 is divided by j(11).
7
Let h(n) = n + 49. Let y be h(-18). Calculate the remainder when 61 is divided by y/2 + 5/10.
13
Suppose 3*i = 1624 - 451. Suppose -13 = -4*d + i. Suppose -7*u + d = 10. Calculate the remainder when 75 is divided by u.
10
Suppose 2*w + 66 = 16. Let r = 54 + w. Let h = -602 - -659. What is the remainder when h is divided by r?
28
Let p be 5200/(-28) + (-2)/7. Let y = 269 - 180. What is the remainder when y is divided by 1/(-4) - p/8?
20
Suppose 15*q - 3019 = 566. Calculate the remainder when q is divided by 48.
47
Suppose 0*k + 64 = 4*k. Suppose 24 = -2*h - 14. Let a = -10 - h. Calculate the remainder when k is divided by a.
7
Let r(f) be the second derivative of 3*f**3/2 - 25*f**2/2 + 13*f. Calculate the remainder when r(8) is divided by 18.
11
Suppose k + k - 6 = 0. Suppose -k = -2*z - 1. Let h(w) = 15*w**2 - 3*w + 3. Calculate the remainder when 57 is divided by h(z).
12
Suppose -46 = -4*k + 34. Suppose k = 4*r + 3*c, -r + 3 = -3*c - 2. Suppose b = 5*u - 7, r*b + 3*u - 49 = -0*b. What is the remainder when 62 is divided by b?
6
Let z(h) = -2*h + 3. Suppose 24 = -4*a + x, 3*x = 4*a - x + 24. What is the remainder when z(a) is divided by 4?
3
Let m be -3 - (4 + -10) - 1. Suppose -3*q + 6 = -q + 4*s, -m*s - 22 = -4*q. What is the remainder when 17 is divided by q?
2
Let b(d) = -2*d**3 - 12*d**2 - 3*d + 5. Let w be b(-5). Calculate the remainder when 12 is divided by 3 + (w/(-5) - 4).
2
Suppose 3*z = -5*u + 3386, 2*z + 135*u - 2256 = 133*u. What is the remainder when z is divided by 24?
23
Suppose 0*r = -4*r - 44. Let y(c) = c**2 + 8*c - 8. What is the remainder when 97 is divided by y(r)?
22
Let h be (-32)/6 + 6 - (-23)/(-3). What is the remainder when 81 is divided by 18/h*168/(-36)?
9
Suppose 5*s = 2 + 8. Suppose -f - s*q + 4*q = -19, -f - 3*q = -44. Suppose 3*r + 5*i - 11 = 0, i + f = 4*r - 1. Calculate the remainder when r is divided by 4.
3
Suppose -2*y - 2*v - 11 = 3*v, 5*v = -4*y - 7. Suppose d = z - 4 - y, 4*z + 4*d - 64 = 0. Let l = -41 + 84. Calculate the remainder when l is divided by z.
10
Let q(b) = b**2 - 2*b + 0*b + 6*b - b. Let i be q(-3). Let r = i - -12. What is the remainder when 35 is divided by r?
11
Suppose -w - 2*w = -294. Let a = -63 + w. Suppose 32 + 13 = 5*c. Calculate the remainder when a is divided by c.
8
Suppose 458 = 23*m - 9225. Calculate the remainder when m is divided by 47.
45
Suppose 0 = -4*m - 3*y - 0*y + 259, 3*y - 58 = -m. Calculate the remainder when m is divided by 17.
16
Let x be -1 - (0/(-4) + 11). Let w = 20 + x. Suppose w*a - 45 = 5*a. What is the remainder when 59 is divided by a?
14
Let k = 1093 - 1006. Calculate the remainder when k is divided by 20.
7
Suppose -2*u + 5 = -13. Let i(s) = -s**2 + 13*s - 32. Let h be i(4). Suppose -h*f + 6*g - g = -71, -1 = f + 5*g. Calculate the remainder when f is divided by u.
5
Suppose -6032 = -55*p + 3153. Calculate the remainder when p is divided by 37.
19
Calculate the remainder when 99/66 - (-129)/2 is divided by 50.
16
Let g(y) = y**2 + y + 1. Let v be g(-2). Suppose -345 = -v*a - 2*a. What is the remainder when a is divided by 14?
13
What is the remainder when (-4)/3 - (-1374)/36*2 is divided by 17?
7
Calculate the remainder when (-2 + 0)/((-170)/2465) is divided by 1.
0
Let z = -618 + 679. Calculate the remainder when z is divided by 36.
25
Suppose 5*n + 5*p = 80 + 65, 0 = 5*n - p - 139. What is the remainder when 51 is divided by n?
23
Suppose 0 = -4*l + 3*h - 0 - 12, 3*l = 5*h - 20. Calculate the remainder when 37 - (-1 + l + 2) is divided by 10.
6
Suppose -2*i = -86 - 182. What is the remainder when i is divided by 2/10 + 3082/115?
26
Let r(t) = -t**3 - 16*t**2 - t - 11. Let y be r(-16). What is the remainder when 57 is divided by 450/36*6/y?
12
Suppose 0 = -7*w + 3*w + 60. Let r = -184 + 225. What is the remainder when r is divided by w?
11
Let w = -6 + 10. Let s(m) = m**3 - 5*m**2 - 9*m + 1. Let p be s(6). Let u = -12 - p. What is the remainder when u is divided by w?
1
Let s(q) = 12*q**3 + 3*q**2 - q - 2. Calculate the remainder when 203 is divided by s(2).
99
Let o = 4 + -57. Let w = o - -58. What is the remainder when 24 is divided by w?
4
What is the remainder when 1096/(279/124 + 2/(-8)) is divided by 29?
26
Let c(f) = -3*f - 19. Suppose -2*p - 2*o = -28, 5*p - 70 = -0*p - 2*o. Suppose 0 = -y + 5 - p. What is the remainder when 30 is divided by c(y)?
6
Let r = 287 - 220. Calculate the remainder when r is divided by 28.
11
Let j be -7 - -5 - 4/(-2). Suppose -5*q + 2*q + 102 = j. Suppose -9*b + 1299 = 93. Calculate the remainder when b is divided by q.
32
Let a = 574 - 447. What is the remainder when a is divided by 53?
21
Suppose -y = 5*h - 235, 5*y - 92 = -4*h + 117. Let t = 119 - h. Suppose -5*d + d + 76 = 0. Calculate the remainder when t is divided by d.
16
Suppose -6*i + 3*i - 3*a + 327 = 0, -4*i + 436 = -a. Let n = i - 39. Calculate the remainder when 34 is divided by n/4 + (-13)/(-26).
16
Suppose -2*s - s = -6. What is the remainder when (-1)/s*3*(-132)/9 is divided by 6?
4
Let x(u) = 15*u + 353. Let w(s) be the second derivative of 2*s**3/3 - 5*s**2/2 - s. Calculate the remainder when w(5) is divided by x(-23).
7
Let h(q) = -17*q**2 + 2*q - 2. Let k be h(1). Let x be (45/(-6))/((-3)/8). Let g = x + k. Calculate the remainder when g is divided by 1.
0
Suppose -5*u + 48 = -112. What is the remainder when (1365/26 - 6)*2 is divided by u?
29
What is the remainder when 431 is divided by 172/6 + -1*(-1)/3?
25
Suppose -13*c - 1710 = -3*c. Let r = 242 + c. Calculate the remainder when r is divided by 24.
23
Suppose 4*i + 5*r - 654 = 0, -5*i - r + 950 = 122. What is the remainder when i is divided by 19?
14
What is the remainder when -6 + 104 + (0 - 4) is divided by (5/(-15))/((-2)/204)?
26
Suppose a - 16 = -q, 2*a = -4*q - 3 + 25. Let y = -7 + a. What is the remainder when 26 is divided by y?
12
Suppose 2*h - 56 = 4*z, 8*h - 3*h - 185 = z. Suppose 0 = -8*m + 32 + 32. Suppose -m*b + 62 + 98 = 0. Calculate the remainder when h is divided by b.
18
Let o(q) = q**2 + 6*q - 7. Let u be o(-7). Suppose -b - 6 = -u*b. What is the remainder when (40/b)/((-18)/135) is divided by 13?
11
Let n(b) = 10*b + 2*b**2 - 1 - 2 + 2 + 7. Calculate the remainder when n(-6) is divided by 5.
3
Suppose -23 = -4*x - 3. Calculate the remainder when 11 + (-8)/24 + x/(-3) is divided by 4.
1
Suppose 0 = 2*r - 4*u - 44, 4*r - 75 = -4*u - u. Suppose -5*b + 3*s + 307 = -b, -5*b = 5*s - 375. Calculate the remainder when b is divided by r.
16
Let f(j) = j - 4. Let l be f(7). Let x be 0/(8/(-12)*l). Suppose -2*r - r - u + 49 = x, 0 = -r + u + 23. Calculate the remainder when 51 is divided by r.
15
Let s = 556 - 317. Calculate the remainder when s is divided by 10.
9
Let b(z) = 2*z**2 + 8*z - 10. Let p be b(-7). Suppose 2*f = 3*h - 44, f = h - 2*h - p. Calculate the remainder when 20 is divided by f/6*(-15)/10.
6
Let h(l) = -5*l**3 + l**2 + 3*l + 3. Let v(m) = -14*m - 24. Let a be v(-3). Let b(c) = c - 9. Calculate the remainder when h(-2) is divided by b(a).
5
Let i(u) = -2*u + 10. Calculate the remainder when 50 is divided by i(-6).
6
Suppose 2*h + 4*a = 8, h = 2*h - 5*a - 39.