.
4
Let z be (0 + 12/9)*21/4. Let u be (-1)/2 - (-29)/(-2). Let h = z - u. Calculate the remainder when h is divided by 6.
4
Let w = -1602 + 1630. Let o(j) = 2*j**3 - 11*j**2 + 10*j + 1. Let q be o(7). What is the remainder when (0 + q)*(-2)/(-4) is divided by w?
25
Let c = 7 - 4. Let l be ((-1)/(-2) + -2)/((-1)/2). Suppose 7*g - 3*g = -3*y - l, -5*y + 9 = 2*g. What is the remainder when c is divided by y?
0
Let x(q) = 179*q - 1. Let i(w) = 119*w - 1. Let o(c) = -7*i(c) + 5*x(c). Let j be o(4). Let f = j - 162. Calculate the remainder when f is divided by 18.
16
Let w = -5 - -9. Suppose -w*x + 7*x = -9. Let l(s) = 2*s**2 - s - 2. Calculate the remainder when 35 is divided by l(x).
16
Let d(s) = 0*s - 2*s + 49 - 43. Let t(r) = 4*r - 11. Let g(n) = -5*d(n) - 3*t(n). What is the remainder when 17 is divided by g(-3)?
8
Let x(v) = 5*v**2 - 7*v + 3. What is the remainder when 30 is divided by x(3)?
3
Suppose 4*q = 770 - 286. Calculate the remainder when q is divided by 18.
13
Let f = 51 - 55. Let b(w) = w**2 - 3*w - 12. Calculate the remainder when 158 is divided by b(f).
14
Let a(p) be the first derivative of -2*p**3/3 - 21*p**2/2 + 2*p + 16. What is the remainder when a(-9) is divided by 16?
13
Let k(y) = -y + 55. What is the remainder when k(-30) is divided by 31?
23
Suppose -4016 = 10*v - 18*v. Calculate the remainder when v is divided by 42.
40
Suppose 4*w - 4 = 8. Let t be 2/w + 361/57. Let x(q) = 2*q**3 - 15*q**2 + 8*q + 5. What is the remainder when x(t) is divided by 7?
5
Let n(d) = d**2 + 10*d + 8. Calculate the remainder when n(5) is divided by 29.
25
Suppose 0 = 4*m - 5*x - 39, -6*m + 7*m - 4*x - 7 = 0. What is the remainder when 97 is divided by m?
9
Let f(o) be the first derivative of -o**4/4 - 7*o**3/3 - 7*o**2/2 - 5*o - 1. Let m = 4 - 10. Calculate the remainder when 4 is divided by f(m).
0
Suppose -5*k + 7 = 2*n, 0 = 3*n - n + k - 11. Suppose -4*z + 274 = 42. Calculate the remainder when z is divided by n/(-15) - (-102)/5.
18
What is the remainder when 24/(-18)*3 + (-2 - -329) is divided by 13?
11
Let k(m) = 9*m**2 - 31*m - 22. Let v(g) = -5*g**2 + 16*g + 11. Let w(y) = 4*k(y) + 7*v(y). What is the remainder when w(13) is divided by 2?
0
Suppose 3 = 3*a - 3. What is the remainder when ((-696)/(-144))/(2/36) is divided by a/(-4) - (-90)/4?
21
Let v(f) = -f - 17. Let m be v(-21). Suppose -5*b = -m*b - 47. What is the remainder when b is divided by 10?
7
Let u = 29 + 68. Let h = u - 36. Calculate the remainder when h is divided by -62*(6 + (-91)/14).
30
Suppose 2*r - 6*r - 5*s - 20 = 0, -5*s + 70 = -5*r. Let c = 10 + r. Suppose -11 = -c*u - u. What is the remainder when 41 is divided by u?
8
Suppose 2*x + 3*d = -2*d - 12, x - 24 = 5*d. Suppose 3*w - q = -2*q + 15, -x*w + 5*q + 39 = 0. What is the remainder when (2 - (3 + w))*-2 is divided by 8?
6
Suppose -36 = -3*m - 3. Let f(l) = l**2 + 11. Let z be f(m). Suppose 3*k - 133 = 2*j, j + 2*j = 3*k - z. What is the remainder when k is divided by 12?
9
Suppose 2*d - 2*n - 106 - 48 = 0, -4*n + 376 = 5*d. Calculate the remainder when d is divided by 61.
15
Let n(x) = -x**2 + x - 1. Let s be n(4). Let m = 26 + s. Suppose -2*z + b + 69 = z, 2*z = -4*b + 60. Calculate the remainder when z is divided by m.
11
Suppose -8*n + 6*n + 4 = 0. Suppose -w - 6*t + 84 = -9*t, n*w = t + 148. Suppose 4*g - 100 = -0*g. What is the remainder when w is divided by g?
22
Let n(a) = a**3 - 23*a**2 + 47*a - 39. Calculate the remainder when n(21) is divided by 37.
29
Suppose -13 = -5*i - 4*h, -1 - 2 = -3*i - 4*h. Calculate the remainder when 785/i*1 + 2 is divided by 16.
15
Suppose -2*o - 4*c = -38, -o + 2*o - c = 31. Let h = -1056 + 1072. What is the remainder when o is divided by h?
11
Suppose -46*d + 2*a - 22 = -47*d, a + 25 = 4*d. Calculate the remainder when ((-31)/(-3))/((-1)/(-6)) is divided by d.
6
Suppose -6*p + 267 - 39 = 0. What is the remainder when 22 is divided by (-10)/15 + p/3?
10
What is the remainder when 50 is divided by (2/(-13) - 0) + (-6840)/(-520)?
11
Let k = -28 - -31. Suppose c = k*r + 10 + 18, -3*r - 2*c = 34. Let v = -5 - r. Calculate the remainder when 8 is divided by v.
3
Let d be -4 + 0/4 - -4. Let o = 0 + d. Suppose y - 8 = -o*y. What is the remainder when 15 is divided by y?
7
Let q(s) = -50*s - 479. Calculate the remainder when q(-13) is divided by 31.
16
Let z(f) = 17*f**2 - 4*f + 7. Let k(i) = 8*i**2 - 2*i + 3. Let u(v) = 5*k(v) - 2*z(v). Calculate the remainder when u(-2) is divided by 0/(-21) - -2*(-1 + 5).
5
Let q = 0 + 3. Let n(z) = 0*z**2 - 3 - 2*z**2 - 1 - 2*z + q*z**2. What is the remainder when n(6) is divided by 11?
9
Let l = 1642 - 1575. What is the remainder when l is divided by 35?
32
Suppose 0 = -15*d + 151 + 14. Calculate the remainder when 21 is divided by d.
10
Let b = -220 + 234. What is the remainder when 48 is divided by b?
6
Let n(z) be the second derivative of -z**4/6 - z**3/6 - z**2/2 + 9*z. Let f be n(-3). Let j = 27 + f. What is the remainder when 52 is divided by j?
8
What is the remainder when 13 is divided by (-2*(-2)/(-6))/(62/(-465))?
3
Let n = -270 - -322. What is the remainder when n is divided by 3?
1
Let q be 2/(-9) - 55/(-45). Suppose -r - 11 = 3*w + q, 2*r + 3*w = -9. Calculate the remainder when r is divided by 3.
0
Suppose 2*m = 3*w + 82, 6*w - 2*w = -8. What is the remainder when 145 is divided by m?
31
Suppose n = 2*w + 13, 37 = -0*n + 5*n - 3*w. Calculate the remainder when 87 is divided by -2 + n - 4/((-16)/76).
21
Let d = -245 - -254. Calculate the remainder when 40 is divided by d.
4
Let f(i) = -11*i + 7. Let c be f(8). Let o = c + 91. Calculate the remainder when 56 is divided by o.
6
Let s = 17 - 8. Suppose -128 = -4*k + 2*h, -2*k + 18 = 2*h - 58. What is the remainder when k is divided by s?
7
Let y(v) = -6*v**2 + 4*v + 1. Let w(p) = 17*p**2 - 13*p - 2. Let r(s) = -2*w(s) - 7*y(s). Calculate the remainder when r(-2) is divided by 7.
5
Suppose 5*t - 815 - 2120 = f, 0 = -2*t + 5*f + 1174. Calculate the remainder when t is divided by 28.
27
Let j = -747 + 763. What is the remainder when 783 is divided by j?
15
Suppose j = o, 0*j + 12 = o + 5*j. Suppose -3*w = -o*w - 38. Calculate the remainder when w is divided by 4/(-14) + 144/14.
8
Let p be -10*3*(8 + (0 - 3)). Let r = p + 158. Let m(d) = d - 1. Calculate the remainder when r is divided by m(6).
3
Let g(q) = -q**2 + 10*q + 14. Let r be g(11). Suppose r*u + 3 = 39. Calculate the remainder when 34 is divided by u.
10
What is the remainder when 244 - (0 + 0)/1 is divided by 21?
13
Suppose -2*r = 9*r - 66. Let p(u) = u**3 + 7*u**2 + 7*u + 8. Let c be p(-6). Let f = c + 3. What is the remainder when r is divided by f?
1
Let g = -22 - -2. Let s = 33 + g. Calculate the remainder when s is divided by 12.
1
What is the remainder when 128 is divided by ((-8)/5)/((-65)/(-25) - 3)?
0
Let t be (-314)/(-6) + (-4)/12. Suppose t - 217 = -5*q. Suppose 55*o - 56*o = -12. Calculate the remainder when q is divided by o.
9
Let p = 88 - 30. Calculate the remainder when p is divided by ((-116)/(-203))/((-1)/(-35)).
18
Let z be -1*1*0/14. Let b = -279 + 511. Suppose z*o - b = -4*o. Calculate the remainder when o is divided by 15.
13
Suppose x + 0 = 5. Suppose -x = -d, 0*a - 4*d + 12 = -a. What is the remainder when 15 is divided by a?
7
Let h = 25 + -17. Let v be 8/10 - (-32)/(-40). Suppose 4*q - 22 - 30 = v. What is the remainder when q is divided by h?
5
Let a = 5 - -3. Let n = 56 - 49. Suppose -n*z + 184 = -145. What is the remainder when z is divided by a?
7
Let z = -86 + 51. Calculate the remainder when (z/(-7))/(2/18) is divided by 24.
21
Suppose 5*f = 75 - 25. Let h(z) = -3*z - 9. Let l be h(11). What is the remainder when (18/(-7))/(6/l) is divided by f?
8
Suppose 2*b = -0*b + 5*o + 105, -3*o - 103 = -2*b. Let y = -61 - -74. What is the remainder when b is divided by y?
11
Suppose -8*n - 462 = -10*n. Suppose -5*x + 691 = n. Calculate the remainder when x is divided by 31.
30
Let x = -143 + 155. Calculate the remainder when 46 is divided by x.
10
Suppose 4*k - 71 = 69. Let s = 16 - 10. What is the remainder when k is divided by ((-2)/(-3))/(s/81)?
8
Let a = 752 + -720. Calculate the remainder when 155 is divided by a.
27
Suppose 5*n = 3*s - 32, -64*s + 67*s + 4*n = 77. Suppose -6*p + p + 185 = 0. C