
Let g(w) be the second derivative of -w**3/3 - 8*w**2 + 9*w. Let u be g(-9). What is the remainder when (-1 + -3)*(-25)/u is divided by 27?
23
Let u = -1326 + 1601. What is the remainder when u is divided by 56?
51
Let n = 2 - 3. Let x = 3685 + -3664. What is the remainder when (n - 2)/(-3)*62 is divided by x?
20
Suppose -2*n - 2*u = n - 101, 5*u = 2*n - 80. Suppose -5*p = -w + 26 - 2, p = 3*w - 58. Calculate the remainder when n is divided by w.
16
Let t = 590 + -585. Calculate the remainder when t is divided by 2.
1
Let g(f) = 495*f + 1. Let h be g(1). Suppose 4*w - h = -0*w. Suppose 0*d = -4*d + w. Calculate the remainder when d is divided by 11.
9
Let n(w) = 28*w + 1459. Let f = 0 + 32. What is the remainder when n(-50) is divided by f?
27
Let u(j) = 8*j**3 + 65*j**2 - 12*j - 3. What is the remainder when u(-8) is divided by 63?
31
Let n be (-3 + 2)/(1/4). Let v be -2 - (n - -2) - -45. Suppose 4*a = 2*a, l + 5*a - v = 0. What is the remainder when l is divided by 16?
13
Let m = -353 + 495. Suppose 0 = -2*z + i + 3*i + 68, 0 = -3*z + 3*i + 87. What is the remainder when m is divided by z?
22
Suppose 4*h = 4*q - 2*q - 288, h = 4*q - 569. What is the remainder when q is divided by 25?
17
Let f be (-8)/(3 + 1) + 5. Suppose -3*t = b - 21, b + b + f*t = 36. What is the remainder when 29 is divided by b?
14
Suppose 0*s = 5*s - 410. Let m = s + -41. Suppose -3*i + 34 = -m. What is the remainder when i is divided by 7?
4
Let s(x) = 6 - 3 - x**2 + 9*x + 3 - 3. What is the remainder when 43 is divided by s(8)?
10
Let t(f) = -f**3 + 15*f**2 + 2. Let o be t(15). Let h(k) = k**2 + 6*k + 9. Let q be h(-6). Suppose q = -o*u + 15. What is the remainder when 10 is divided by u?
1
Suppose -13*d + 193 + 366 = 0. Suppose f + d - 149 = 5*b, -8 = -4*b. What is the remainder when f is divided by 39?
38
Let i(a) = -a**2 + 66*a - 9. Calculate the remainder when i(12) is divided by 8.
7
Let t(w) = w**2 - 18*w + 73. What is the remainder when 69 is divided by t(6)?
0
Suppose 196 = 3*u - 173. Suppose 0 = 4*h + 420 - 128. Let m = u + h. What is the remainder when m is divided by 13?
11
Suppose -w - w = -4. Suppose o - 5 = -2*v, -4*v = 3*o + w*o - 43. What is the remainder when 18 is divided by o?
7
Let m(y) = -y**3 + 5*y**2 + 2*y - 4. Let h = -87 + 123. What is the remainder when h is divided by m(4)?
16
Let d(c) = 2*c - 24. Let w be d(15). Calculate the remainder when 89 is divided by (w/8)/((6/(-40))/(-3)).
14
Let o(q) = 4*q**2 + 2*q - 28. Let f be o(7). Suppose -25*h - f = -27*h. What is the remainder when h is divided by 23?
22
Let h(u) = -u**3 + 9*u**2 - 13*u - 2. Let q be h(6). Suppose -4*b + x + 6 = -2*b, 4*x - q = -5*b. What is the remainder when b + 6*(-57)/(-6) is divided by 16?
13
Suppose 0 = -38*n + 58*n - 320. What is the remainder when 830 is divided by n?
14
Suppose 7 - 2 = -o + 3*u, -4 = -4*o + 4*u. Suppose -4*x + o*w = 0, -5*x = -8*x - w + 12. Calculate the remainder when 7 is divided by x.
1
Let d(k) = 53*k**2 + k - 1. Suppose -2*z + 5 = 5*b + 44, -20 = z + 3*b. Let y = z + 31. What is the remainder when d(1) is divided by y?
11
Suppose -30*c + 423 = 17*c. Calculate the remainder when 383 is divided by c.
5
Let r be 0/8*(-1)/(-2). Suppose 0 = -n - r*s + s + 80, -4*n + 345 = s. What is the remainder when n is divided by 22?
19
Let n = -214 - -226. Calculate the remainder when 58 is divided by n.
10
Let j = 89 - 43. What is the remainder when 90 is divided by j?
44
Let x(m) = 3*m**3 - 7*m**2 + 2*m - 6. Suppose 0 = g + o - 1, -2*g - g - 5*o - 5 = 0. What is the remainder when x(3) is divided by g?
3
Let h(n) = n**2 - 7*n. Let r = -11 - -16. Let y be h(r). Let z(f) = f**2 + 9*f + 8. Calculate the remainder when 35 is divided by z(y).
17
Let h = 1052 + -1012. Let y(f) = f**3 + 7*f**2 + 6*f + 1. Let p be y(-6). What is the remainder when p*314*1/2 is divided by h?
37
Suppose -4*p + 66 = -c, p = -2*p - 5*c + 61. Calculate the remainder when 30 is divided by p.
13
Suppose -5*o - 24 = -3*d - 0, -3*o = -4*d + 21. Let v = 2 - -5. What is the remainder when v is divided by d?
1
Suppose -18*p + 215 - 35 = 0. What is the remainder when 867 is divided by p?
7
Suppose -4*b = b - 160. Let f = -41 - -24. Calculate the remainder when b is divided by ((-2)/(-2)*f)/(-1).
15
Suppose 0 = -l + 8 + 2. Calculate the remainder when 1*(-8)/(-40) - (-358)/l is divided by 10.
6
Suppose 230 = 5*v - 15. Let p = v - 70. What is the remainder when 34 is divided by (-2)/((-8)/(-12)) - p?
16
Let m(p) = p + 17. Calculate the remainder when 93 is divided by m(15).
29
Let i(y) = 0 + 3 + 6*y**2 - 2*y - 2*y. Let c(s) = -s**3 + 5*s**2 + 13*s + 9. Let o be c(7). Calculate the remainder when i(o) is divided by 4.
3
Suppose -5*b + 32 = 4*v, v + 6 = b + 5. What is the remainder when 13 is divided by v?
1
Calculate the remainder when ((-230)/(-23))/((-2)/(-122)) is divided by 34.
32
Let g = 2678 + -2600. Suppose 2*v = v + 9. What is the remainder when g is divided by v?
6
What is the remainder when 26032/208 + (-4)/26 is divided by 42?
41
Let u = -25 - -25. Let q(o) = -o**2 - 14. Let t be q(u). What is the remainder when 77 is divided by 8/t - (-1860)/70?
25
Suppose 118*b - 116*b - 28 = 0. Suppose -b*u + 7*u = -455. Calculate the remainder when u is divided by 17*1/((-1)/(-1)).
14
Suppose 0 = -o + 3*k + 21, -4*o - 5*k - 1 = -0*k. Let i(d) = 2*d**2 - 2*d - 3. What is the remainder when i(o) is divided by 21?
15
Suppose -17*y + 4 = -16*y. Suppose 0 = -y*j - 2*j + 390. Calculate the remainder when j is divided by 18.
11
Suppose -5*l = 3*x - 0*x - 45, 4*x = l + 60. Suppose -9 = -43*n + 42*n. Calculate the remainder when x is divided by n.
6
Let c(d) = -d**3 - 20*d**2 - 29*d - 28. Let h be c(-18). Let j = h + 179. What is the remainder when 122 is divided by j?
22
Let k be 0*(-3)/(-18)*-3. Suppose 37*j - 38*j + 2 = k. Calculate the remainder when 12 is divided by j.
0
Let g(v) = -2*v**2 - 4*v - 20. Let f(n) = 3*n**2 + 3*n + 20. Let s(p) = 3*f(p) + 4*g(p). What is the remainder when s(12) is divided by 6?
4
Suppose -3718*t - 1496 = -3726*t. What is the remainder when t is divided by 181?
6
Suppose -4*p + 3*g + 179 = 0, -13*g = 2*p - 14*g - 89. Calculate the remainder when p is divided by 26.
18
Suppose t - 58 = a + 4*t, 232 = -4*a - 3*t. Let j = 77 + a. What is the remainder when j is divided by 6?
1
Suppose 215 = 4*g - a + 54, 2*g = -5*a + 97. Suppose 8*k = -5*p + 6*k + 73, 4*k = -5*p + 71. Calculate the remainder when g is divided by p.
11
Let d = -201 + 236. What is the remainder when 978 is divided by d?
33
Suppose 13 = -3*s + 22. Suppose s*x = 5*l - 134, -x = l - 0*x - 30. What is the remainder when 54 is divided by l?
26
Suppose 3*a - 9 = 9. Suppose -41 = -a*m - 5. What is the remainder when m is divided by (-2)/6 - (-39)/9?
2
Suppose -9*x = -5*x - 12. Let g = x + -1. Suppose g + 8 = -5*r - 5*o, 0 = 5*r - 4*o - 26. Calculate the remainder when 7 is divided by r.
1
Let d be 2 + -1 + 0 - (23 + -29). What is the remainder when 33 is divided by (-25)/(-4) - (d - 1)/24?
3
Suppose -c = 4*c - 585. Calculate the remainder when c is divided by 6.
3
Let t(w) = -10*w + 5. Let m(c) = c + 1. Let i(k) = -3*m(k) + t(k). Suppose -2*d - 9 = -1. Calculate the remainder when i(d) is divided by 19.
16
Let v = 301 + -237. Calculate the remainder when v is divided by 63.
1
Suppose 4*j - 25 + 1 = 0. Let o(r) = 6*r + 115. Calculate the remainder when o(-16) is divided by j.
1
Let b = -925 - -1020. What is the remainder when b is divided by 14?
11
Suppose -39 - 71 = -3*x + 5*z, 0 = 5*x + 2*z - 204. Let q = 417 - 403. What is the remainder when x is divided by q?
12
Let p = -4 - 6. Let j = -36 + 53. Let z = j + p. What is the remainder when 25 is divided by z?
4
Let h = 123 + -123. Suppose h = -93*m + 90*m + 69. What is the remainder when 89 is divided by m?
20
Let f(o) = -15*o - 6. Let s be f(-3). Let z = -15 + s. Calculate the remainder when z is divided by 9.
6
Let i(n) = -9*n + 423. Calculate the remainder when i(-14) is divided by 55.
54
Let q be 3 + -1 + (0 - 0). Suppose -2*r + 42 = q*a + 2*r, 5*a - 4*r - 49 = 0. Let g = -16 + 23. Calculate the remainder when a is divided by g.
6
Let c(z) = 6*z + 169. What is the remainder when c(-5) is divided by 67?
5
Let l = 72 + 87. Let c = -16 + l. What is the remainder wh