?
12
Let q(x) be the third derivative of x**4/8 - 7*x**3/6 + 2*x**2. Calculate the remainder when q(6) is divided by (-2 + 2/(-3))*30/(-20).
3
Let d(k) = k**3 - 11*k**2 + 2. Let b be d(11). Calculate the remainder when (b + -4)*(-205)/10 is divided by 14.
13
Suppose 2*w - 996 = 5*z - 3540, -7*w = 5*z - 2571. Calculate the remainder when z is divided by 32.
30
Suppose -5*x = -4*x - 6. Suppose -4*b = -x*b - 4, 3*z + b = 10. What is the remainder when 43 is divided by z?
3
Suppose -52*z + 12 = -49*z. What is the remainder when 142 is divided by z?
2
Suppose -51*r + 2255 = -1927. Calculate the remainder when r is divided by 4.
2
Let a(b) = -2*b - 7. Let c be a(-4). Calculate the remainder when 42 is divided by 46*c/5 - (-27)/(-135).
6
Calculate the remainder when 15 is divided by (9/(-5))/(-9 + 264/30).
6
Let p(a) = a**2 + 6*a + 4. Let k be p(-12). Suppose -185 = -3*x - 4*n - k, -4*x = -5*n - 197. What is the remainder when x is divided by 12?
7
Suppose -20*h + 16*h + 83 = -3*m, 0 = 3*h + 4*m - 56. What is the remainder when 78 is divided by h?
18
Let s = 18 + -13. Suppose -4*w - 27 = -x, -s*x + 2*w + 20 = -79. What is the remainder when x is divided by 5?
4
Suppose -4*i + 2507 = 3*t, -23*t = 3*i - 21*t - 1881. What is the remainder when i is divided by 309?
11
Suppose -265 - 319 = -4*i. Suppose -i = 11*k - 355. Calculate the remainder when k is divided by 8.
3
Calculate the remainder when ((-72)/16)/((-2)/24) - -2 is divided by 15.
11
Let c = -14 - -31. Suppose 4*j - 27 = -19. Suppose 2*s - 5*i - c = 0, -7 = -j*s - 5*i - 0*i. Calculate the remainder when s is divided by 2.
0
Suppose 5*b + 210 - 62 = 2*g, b + 80 = g. Let f = -53 + g. Calculate the remainder when f is divided by 11.
9
Let b(u) = 5*u**2 + 11*u + 20. Let p(q) = 4*q**2 + 10*q + 19. Let m(f) = -5*b(f) + 6*p(f). What is the remainder when m(0) is divided by 3?
2
Let z = 1813 + -1639. Calculate the remainder when z is divided by 88.
86
Let r = 24 - 22. Suppose 0*x + 4 = 4*x. Calculate the remainder when r*4/36*9 is divided by x.
0
Calculate the remainder when 42 is divided by (1 + 3)*207/36.
19
Suppose -2 = d, 2*a = d - 3*d + 496. What is the remainder when a is divided by 52?
42
Suppose -5 - 4 = -3*x. Calculate the remainder when 99/(-77) - (-592)/112 is divided by x.
1
Let o = -60 - -65. Suppose o*x - 979 = -u - 2*u, 3*x = -12. Calculate the remainder when u is divided by 56.
53
Let a(o) = 5*o + 7. Let y be a(0). Suppose -3*m + y = d - 4, -3*d + 13 = 4*m. What is the remainder when m is divided by 2?
0
Let v be (0/(-2) - 14/7) + 2. Suppose 3*i + 2*i - 55 = 0. Calculate the remainder when (-4)/(4/(-32) + v) is divided by i.
10
Let r = -619 - -894. What is the remainder when r is divided by 10?
5
Let g(f) = 11*f + 1. Let q be g(6). Let t = q + -24. What is the remainder when t is divided by ((-11)/(-4))/(1/4)?
10
Let d(g) = -7*g - 9. Let l be d(-2). Suppose -2*o + 122 = o + 4*h, l*o = -2*h + 208. What is the remainder when o is divided by 15?
12
What is the remainder when (-4)/6 - (-136)/6 is divided by (-2)/2*(3 + -12)?
4
Let u = 54 - 66. Let q(w) = -5*w - 26. Calculate the remainder when 65 is divided by q(u).
31
Let c = 240 - 186. Calculate the remainder when 269 is divided by c.
53
Suppose -118 + 2 = -4*z + 4*t, z + 5*t - 29 = 0. Calculate the remainder when 57 is divided by z.
28
Let n(z) = z**2 + z + 7. Let l(a) = a**3 + 8*a**2 + 8*a + 2. Let w be l(-7). Let d = 1599 - 1589. Calculate the remainder when n(w) is divided by d.
7
Suppose 43*q - 44*q + 4 = 0. Suppose -4*g + 5*f = -g - 78, 81 = q*g + f. Calculate the remainder when 30 is divided by g.
9
Suppose -100 - 53 = -9*g. Calculate the remainder when 64 is divided by g.
13
Let c = 739 + -735. Suppose 0 = -w - 4*g + 2, 3*g = 2*w - 2 - 2. What is the remainder when c is divided by w?
0
Suppose 3*f + g = -0*g - 38, -5*f - 66 = g. Suppose 0 = v + 3*k + 8, -4*k + 5*k - 16 = 2*v. Let r = v - f. What is the remainder when 9 is divided by r?
3
Let s(d) = 8*d**2 + 0*d**2 - 4 - 9*d**2 - 13*d. Let h be s(-6). What is the remainder when 55 is divided by 3/(2 - 70/h)?
17
Suppose c - 24 = -3*x - 2*x, 2*x = 2*c. Calculate the remainder when 31 is divided by x.
3
Let g(a) = -a**2 + 61*a + 111. What is the remainder when g(59) is divided by 82?
65
Let v(g) = -2*g + 15. Let m(y) = -3*y + 23. Let f(q) = -5*m(q) + 7*v(q). Calculate the remainder when 16 is divided by f(17).
2
Suppose -3*g + 36 = -4*a, a - 16 = -3*g + 5. Suppose -4*c + g*c = 80. What is the remainder when c is divided by 12?
8
Let r(l) = -2*l**2 + 74*l + 93. What is the remainder when 101 is divided by r(38)?
16
Calculate the remainder when (4/(60/261))/(3/15) is divided by 26.
9
Let r be 546/(-12) - (-6)/4. Let a = -36 - r. What is the remainder when ((-54)/(-4) + 2)*2 is divided by a?
7
Calculate the remainder when 759 is divided by (6/(-7))/(24/(-2128)).
75
Let i = 472 + -457. Calculate the remainder when i is divided by 3.
0
Let t be 31*(8/(-4) + 3). Let j = -2 - -8. Calculate the remainder when (-3*t)/(-3) - 3 is divided by j.
4
Suppose 4*m - 345 + 93 = 0. What is the remainder when 753 is divided by m?
60
Let a = -8 + 11. Suppose w = 4*q + 84, -5*q - 100 = -a*w + 12. What is the remainder when 24 is divided by (-265)/q + (-2)/8?
11
Let p = 52 + -7. Let b be (-7)/(35/370)*-1. Suppose 5*n - 3*f - 68 = 50, -3*n + b = -5*f. What is the remainder when p is divided by n?
22
Suppose -3*h + 4*n + 5 = 0, -3*n = 4*h - 16 + 1. Calculate the remainder when 27 is divided by h.
0
Let h = -17 - -23. Suppose 0 = 5*u, 5*f = h*u - u + 60. Calculate the remainder when f is divided by 9.
3
Let s(p) = 13*p + 636. What is the remainder when 1184 is divided by s(-48)?
8
Let w be 3/((-12)/(-8)) - -2. Suppose 5*k - w*k - 125 = 0. Suppose 0 = -n + a - 44 + k, 0 = 4*n - 5*a - 326. What is the remainder when n is divided by 16?
15
Suppose -10*x + 4*x = -156. Let y(v) = 26*v - 27. Calculate the remainder when y(5) is divided by x.
25
Let o be (-3 - 1)/((-3)/(-6)). Let f(n) = -5*n - 11. Let g be f(o). Calculate the remainder when g - (-4 + 3 + 0) is divided by 16.
14
Let f = -294 - -370. What is the remainder when f is divided by 26?
24
Suppose 3*h - 65 = -4*n, -4*h + 44 = 4*n - 24. Calculate the remainder when 54 is divided by n.
12
Let z be ((-27)/(-18))/((-2)/(-8)). Suppose -564 = -8*a + z*a. Suppose -a = -5*y + 58. What is the remainder when y is divided by 18?
14
Suppose 0*n + 10 = 2*n. Suppose -180 = t - n*t. Suppose 2*y + 5*g = 21 + 6, -y = -3*g - 19. Calculate the remainder when t is divided by y.
13
Let u = 308 - 280. Calculate the remainder when 69 is divided by u.
13
Suppose 35 = r - l, 3*r + 4*l + l = 89. Calculate the remainder when r is divided by 19.
14
Let w(q) = -q**3 - 23*q**2 + q + 40. Let v = 70 - 93. Calculate the remainder when 30 is divided by w(v).
13
Let u = 477 + -371. Calculate the remainder when u is divided by 9.
7
Let k = 9 - 15. Calculate the remainder when (3 - (-15)/k)*58 is divided by 8.
5
Let z be (1 + 1)*(-1 + (4 - 2)). Suppose -4*w + z*k + 138 = 0, 5*w - 125 = 4*k + 55. What is the remainder when w is divided by 11?
10
What is the remainder when 467 is divided by 76/209 + (-425)/(-11)?
38
Let m(n) = n + 4. Let o be m(0). Suppose g + 60 = o*g. Suppose -t + g = t. What is the remainder when 19 is divided by t?
9
Let z(v) = 14*v - 4. Let k be z(4). Let g = k - 81. Let p = g - -38. What is the remainder when p is divided by 5?
4
Let f(k) = -6*k**2 - 4*k**3 - 108*k - 19 + 97*k + 5*k**3. What is the remainder when f(8) is divided by 12?
9
Suppose 0 = -3*r + 3, -123 = -4*x - r + 6*r. What is the remainder when 89 is divided by x?
25
Let i = -16 - -22. Suppose -4*h + i = -2*d + d, -3*d + h = 7. Let w(b) = 3*b**2 + 2*b - 2. Calculate the remainder when 15 is divided by w(d).
3
Let k(u) = 57*u**2 + 1. Let r be (1/3)/((-10)/(-1140)). Let o = -18 + r. What is the remainder when k(1) is divided by o?
18
Let q = -7 - -7. Let t(h) = -h**3 - h - 6. Let f be t(q). What is the remainder when (-46)/3*9/f is divided by 8?
7
Let m(z) = -17*z - 621. What is the remainder when m(-45) is divided by 35?
4
Let u(o) = o + 8 - o - 3*o + 2*o. Let h be u(4). What is the remainder when 17 is divided by h/(-5)*(-30)/4?
5
Let b = 1553 - 414. What is the remainder when b is divided by 10?
9
Let k be