is divided by u.
2
Let i(a) = a**3 - 27*a**2 + 31*a - 60. What is the remainder when i(26) is divided by 22?
4
Let x = 6 + -1. Suppose x*k + g = 64, -3*k - 5*g = -3*g - 44. What is the remainder when 2/11 - (-504)/11 is divided by k?
10
Suppose 4*y - y - 2*c - 46 = 0, 50 = 5*y + 2*c. Let i = -6 + y. Suppose -11*k + 6*k + 10 = 0. What is the remainder when i is divided by k?
0
Suppose 2*l + 5*t = 199, 5*l + 2*t - 637 = -192. What is the remainder when 605 is divided by l?
83
Let o(y) = y + 4. Let b be o(-3). Suppose -3*f - b = -46. Suppose 269 = 5*s - 4*p, 0*p - 110 = -2*s + p. Calculate the remainder when s is divided by f.
12
Let f(o) = o**2 + 21*o - 65. What is the remainder when f(-25) is divided by 20?
15
Let g be (14 + 4)*(-4)/1. Let w = g + 77. What is the remainder when 16 is divided by w?
1
Let t(y) = y**3 - y + 2. Let l be t(-4). What is the remainder when -3 - (-6 + 3) - l is divided by 15?
13
Let w(t) = -4*t**3 - 3*t**2 - 5*t - 2. Let a be w(-5). Suppose -2*d + a = 3*y, -3*y + 4*d - 130 = -584. What is the remainder when y is divided by 51?
48
Let s(h) be the third derivative of 0 - 1/6*h**3 - 1/30*h**5 + 0*h - 5*h**2 - 1/12*h**4 - 7/60*h**6. What is the remainder when 38 is divided by s(-1)?
12
Suppose -6*h + 33 = -5*h. Let o = -17 + h. Suppose 4*f - 30 = 3*f. Calculate the remainder when f is divided by o.
14
Suppose -4 = 9*h - 7*h. What is the remainder when (7 + 71)/((-3)/h) is divided by 18?
16
Suppose 0 = 5*w - 5, -5*c - 2*w = -5*w - 432. Suppose 5*i + 10 = 0, 3*i - c = -3*y + 12. Calculate the remainder when 138 is divided by y.
33
Calculate the remainder when 24 is divided by 2 + (-5)/5 + 3.
0
Let n(h) = -h**3 - 27*h**2 - 52*h + 9. What is the remainder when n(-25) is divided by 20?
19
Let o = 28 - 25. Suppose 3*n - 55 = 5*a - 610, 2*a = o*n + 213. What is the remainder when a is divided by 29?
27
Suppose 5*a = -5*v + 15, 5*v - 7 = 3*a - 0*v. Suppose n - 1 = a. Suppose 0 = n*d + d - 93. Calculate the remainder when d is divided by 11.
9
Suppose 12*x - 13*x = -17. Calculate the remainder when 404 is divided by x.
13
Suppose 0 = -f + g + 56, 0 = f - 3*g - 0*g - 62. Let l = f - 18. What is the remainder when l is divided by 10?
5
Suppose 6*y = 11*y + 5. Calculate the remainder when (2/4*10)/(y/(-59)) is divided by 37.
36
Suppose -3*g = -2 - 82. Calculate the remainder when 23 + -1*(1 + -3) is divided by 260/g - 2/7.
7
Let f = -20 - -23. Let t(n) = -35*n**f + 0 + 4*n - 2 - n**2 - 6*n. What is the remainder when t(-1) is divided by 7?
6
What is the remainder when 91 is divided by (-1 - 1) + 7/3*3?
1
Suppose -v - 4*j = -3*j - 106, 4*v - 422 = -2*j. What is the remainder when (-2)/(-7) - 85/v*-33 is divided by 15?
12
Calculate the remainder when 381 is divided by (-2 - 57/(-6))*(-484)/(-66).
51
Let x = 533 - 499. What is the remainder when 203 is divided by x?
33
Suppose 0 = -4*f - 2*o + 386, -4*f - f + 472 = -o. Suppose 55*z = 50*z + f. Let y = 88 + -51. Calculate the remainder when y is divided by z.
18
Suppose 5*v + s + 41 = 4*s, 2*v + s + 23 = 0. Let k = -59 + 83. Let t = k + v. What is the remainder when t is divided by 8?
6
Suppose 0 = s + s + 46. Let c = -1 - s. Calculate the remainder when -1 - (2 - 3 - 63) is divided by c.
19
Let t = -156 + 166. Let p(j) = 11*j - 3. Calculate the remainder when p(2) is divided by t.
9
Let o = 300 - 276. Suppose s - 2 = 5*c, s + 2*s = c + 6. Calculate the remainder when 21 is divided by s/16*4*o.
9
Let a = 145 + -133. Suppose 5*g = 7*p - a*p + 90, 0 = -2*g + 10. Calculate the remainder when (-2)/8 + 402/8 is divided by p.
11
Let i(d) = -d**3 + 76*d**2 - 71*d - 255. What is the remainder when 151 is divided by i(75)?
16
Suppose -13 = s - 15. Suppose 0 = 2*d - 3*i - 86, i + 123 = s*d + 41. What is the remainder when 156 is divided by d?
36
Let p be 3/12 + (-45)/(-12). Suppose -2*x = 3*x + g - 63, -3*x - p*g + 48 = 0. What is the remainder when 32 is divided by x?
8
Suppose 2*c = 6*l - l - 1889, 4*c + 8 = 0. Let d = l + -235. What is the remainder when d is divided by 24?
22
Let k = 5 - -27. Let n be ((-1)/(-4))/((-6)/(-120)). Suppose a - n*a = -k. What is the remainder when 15 is divided by a?
7
Let v = -217 + 230. What is the remainder when 31 is divided by v?
5
What is the remainder when 190 is divided by (-4 - 50/(-12))*(-3498)/(-11)?
31
Suppose 4*v - 17 + 1 = 0. Suppose 5*z + v - 509 = 0. What is the remainder when z is divided by 34?
33
Suppose 10*u = 8*u - 3*a + 29, -2*u = 2*a - 28. What is the remainder when 98 is divided by u?
7
Suppose 7*p + 4*w + 53 = 10*p, 3*p = 3*w + 54. What is the remainder when 53 is divided by p?
15
Suppose -792 = -3*y - y. Suppose -2*x - 2*w = -y, 145 + 160 = 3*x + 5*w. What is the remainder when x is divided by -1 + ((-20)/2)/((-20)/50)?
23
What is the remainder when 40 is divided by 8/(8/(-192)*-8)?
16
Let u(f) = -2*f**2 + f + 10. Let a be u(0). Let s be 196/a + 4/10. What is the remainder when (-256)/(-10) + 8/s is divided by 7?
5
Let t(p) = -p**3 - 7*p**2 - 7*p + 4. Suppose -3*r - 3*m = 2*m + 43, -r + 3*m + 9 = 0. What is the remainder when t(r) is divided by (-3)/(9/(-13)) + 70/(-210)?
2
Let f(n) = 28*n + 362. Calculate the remainder when f(-11) is divided by 17.
3
Let k = 39 - 27. Let l(s) = -2*s + 12. What is the remainder when l(-10) is divided by k?
8
Suppose -j + 3 = -31. What is the remainder when 56 is divided by j?
22
Suppose 3*q = c - 2*q, -2*q - 23 = -5*c. Suppose 0 = -c*f + 6*f. Let a(x) = -x + 19. Calculate the remainder when a(f) is divided by 10.
9
Let k(l) = 2*l**3 + l**2 - 2*l. Let v be k(-2). Let o = 193 - 188. What is the remainder when o is divided by 2*(-6)/4 - v?
0
Suppose 0 = -5*c - 4*b - 396, c - 6*c - 397 = 3*b. Let k = c + 124. Calculate the remainder when k is divided by 17.
10
Let d(v) = -2*v - 62. Let j(k) = k + 21. Let z(h) = 6*d(h) + 17*j(h). What is the remainder when 43 is divided by z(6)?
13
What is the remainder when 90 is divided by (3/3)/((-8)/(-184))?
21
Let k(z) = 3*z + 8. Let l be k(-4). Let s = 11 + l. Suppose 7*a + 100 = 12*a. Calculate the remainder when a is divided by s.
6
Let c(f) = -2*f**3 - 5*f**2 + 27*f + 92. Calculate the remainder when 301 is divided by c(-5).
55
Suppose -5*a + 4 = -c, 0 = 5*c - 3*c + a - 14. Suppose 3*i - 4*m - 43 = c, 4*i + m = 78. What is the remainder when 73 is divided by i?
16
Let c(w) = w + 20. Let o be c(-18). What is the remainder when 140 is divided by (5 - -40) + 1 + 0 + o?
44
Suppose 5*p + 3*m = 73 + 23, -8 = -4*m. Let u = 84 + 48. Suppose 0*h + 4*h - u = 0. What is the remainder when h is divided by p?
15
Suppose 0 = -8*f + 4*f - 5*y - 36, -2*y = 4*f + 36. Calculate the remainder when 13 is divided by (3 - 1)*(-7 - f).
1
Let f = 17 + -10. Suppose 92 = f*i - 3*i. Suppose 3*t = -g - 0*g + i, 55 = 5*g - 5*t. What is the remainder when 53 is divided by g?
11
Suppose -3*g + 33 = 6. Let j be 0 - (-3 + 1 + -5). Suppose -3 = -2*w + j. What is the remainder when g is divided by w?
4
Suppose -37 + 3 = -s. What is the remainder when s is divided by 17?
0
Let g = 51 - 6. Suppose -k - 2*k = -g. Calculate the remainder when k is divided by (-4)/40 - 486/(-60).
7
Suppose 3*a - 5*x - 2200 = -0*x, -2*x + 8 = 0. What is the remainder when a is divided by 53?
51
Let m(q) = -4*q - 2. Let k(c) = 75 - c - 2*c**2 - 77 + 3*c**2. Calculate the remainder when m(-5) is divided by k(-3).
8
Let d(n) = 9*n**3 - n**2 + 1. Let u be d(1). Let h = u - -4. Let y = 28 - h. What is the remainder when y is divided by 6?
3
Let a(q) = -q**3 - 4*q**2 + q + 7. Let m be a(-4). Suppose -19 - 44 = -3*i + m*b, -3*i = -2*b - 68. Calculate the remainder when i is divided by 15.
11
Suppose -4*h + 44 = c - 42, -4*h = 4*c - 92. Calculate the remainder when 50 is divided by h.
8
Let k = 0 - -14. What is the remainder when (27/(-15))/(3 + (-272)/90) is divided by k?
11
Let f = -549 - -584. Calculate the remainder when f is divided by 4.
3
Let u be (-8 + -4)/(6/4). Calculate the remainder when 13 is divided by 2/u*-2*(19 + -3).
5
Let t(w) = -w**3 - 3*w - 17 + 5*w**2 + 17. Let n be t(4). Suppose -4*r + n*c + 202 = 22, -4*r - 3*c = -180. What is the remainder when r is divided by 16?
13
Suppose -r = -7 - 1. Let k(v) = -12*v - 7. Let h be (-16)/(-4) - 14/2. Calculate the remainder when k(h) is divided by r.
5
Suppose -5*h + 4*