n 178/n + 2/(-8) is divided by 13.
9
Let o(i) = i**3 + 4*i**2 - 4*i + 19. Let w = 77 - 82. Suppose -216 = -q - 3*q. What is the remainder when q is divided by o(w)?
12
Suppose 0 = -4*l - 5*p + 13, 0 = 2*l - 5*p + p. Calculate the remainder when ((-83)/1)/(1 - l) is divided by 14.
13
Let l = -8 - -23. Suppose 45 = -12*r + l*r. What is the remainder when 40 is divided by r?
10
Let h(z) = z**3 + 15*z**2 + 13*z - 9. Calculate the remainder when ((-94)/(-6) - -1) + (-2)/(-6) is divided by h(-14).
2
Let p be (-10)/(-2)*(-3 + 4). Suppose -14 = p*u - 7*u. What is the remainder when 12 is divided by u?
5
Let g be -8*(5 + 25/(-4)). Calculate the remainder when (-8)/g - 4046/(-70) is divided by 34.
23
Suppose 4*r = -j + 153, -5*r + 2*j + 74 = -3*r. Let p(o) = 51*o + 4. What is the remainder when p(2) is divided by r?
30
Suppose -5*m + 8 = 4*i, -4*i + 0 = -m - 8. Calculate the remainder when 106 is divided by 3 + m + 2 + 50.
51
Suppose -3*y - 5*w = -502, 5*y + 5*w - 328 = 3*y. Calculate the remainder when y is divided by 28.
6
Suppose 3*i + 2*i - 18 = -4*r, 4*i - 4 = 2*r. What is the remainder when (-1 - i) + 2*8 is divided by 3?
1
Suppose -2499 = -7*m - 350. What is the remainder when m is divided by 22?
21
Let x = -110 - -20. Let u = x + 122. Calculate the remainder when u is divided by 9.
5
What is the remainder when 366 is divided by (-12)/(-8)*954/27?
48
Let j be (1/(-3))/((-2)/(-18)). What is the remainder when 20 is divided by (1 - (-9)/(-6))/(j/42)?
6
Let g be (-5 + 3)/((-6)/3). Suppose 0 = -3*k + g + 5. Suppose 0 = k*x - 4*u - 86, 3*u + 2*u = -4*x + 146. What is the remainder when x is divided by 10?
9
Let q = 348 - 231. Let w = -3469 + 3486. What is the remainder when q is divided by w?
15
Suppose 2*n = 4*b - 155 - 11, -95 = -2*b - 3*n. Calculate the remainder when 78 is divided by b.
35
Let r(y) = y**3 + 3*y**2 - 6*y + 2. Let f be r(2). Let s = 7 + f. Calculate the remainder when 47 is divided by s.
13
Suppose -5*y - 120 = -5*g, 3*g = 3*y - 4*y + 92. Let b = 89 - -83. What is the remainder when b is divided by g?
27
Let k(o) = o**2 - 5*o + 10. Let g be k(10). Calculate the remainder when (-1)/(-1*3/g) - -2 is divided by 13.
9
Suppose -y = -21 - 11. Suppose -4*d - 4 + 0 = 2*b, -2*b + y = -5*d. Suppose -105 + b = -3*r. Calculate the remainder when r is divided by 12.
9
Suppose -4*x = -8*x + 280. Suppose 5*f - 4*z - 45 - 29 = 0, 4*z = -3*f + x. Calculate the remainder when 2/((-32)/276)*-4 is divided by f.
15
Suppose -4*x - 2*o + 266 = 0, 2*o - 123 = -2*x - o. What is the remainder when x is divided by 21?
6
Let l(y) = -y**3 + 10*y**2 + y + 12. Suppose 0 = -5*v + 5*u + 65, 2*u + 3*u + 55 = 4*v. What is the remainder when l(v) is divided by 9?
4
Suppose 0 = 11*j - 10*j + 781. What is the remainder when j/(-11) - (-2)/(-1) is divided by 24?
21
Let n(m) = m**3 - 10*m**2 - 21*m - 23. Calculate the remainder when n(12) is divided by 9.
4
Let r = -1 + 3. Let j = -66 + 60. Calculate the remainder when (2/j + 1)/(4/30) is divided by r.
1
Let x = 11 + 1. Let r = -42 - -75. Let k = r + x. What is the remainder when k is divided by 16?
13
Let v = 28 + -23. Suppose -4*h + 107 = v*k, 0 = -k - h - 7 + 29. Let i = k + -9. Calculate the remainder when i is divided by 6.
4
Let j be 5*(1 - 91/5). Let q = -61 - j. Let p = 44 - q. Calculate the remainder when p is divided by 11.
8
Let b = -387 - -460. What is the remainder when b is divided by 26?
21
Suppose d - 15 + 11 = 0. Suppose 0 = -3*t + 3*r + 21, 0 = -5*r - 21 - d. What is the remainder when 9 is divided by t?
1
Calculate the remainder when ((-80)/5)/((-5)/(-160)*-4) is divided by 62.
4
Let p(c) = -c**3 + 7*c**2 - 5*c. Let n be p(6). Suppose n*y - 58 = -16. Calculate the remainder when 19 is divided by y.
5
Let j = 0 - -9. Let q(x) = -x**2 - 7*x + 7. Calculate the remainder when (19/(-3))/((-3)/j) is divided by q(-7).
5
Let n = -13 - -11. Let h = n - -11. Suppose -45 = -2*a - a. Calculate the remainder when a is divided by h.
6
Suppose 3*j + 80 - 1106 = 0. Let m = j - 237. Suppose -z + m = 2*z. What is the remainder when z is divided by 18?
17
Let f(d) = -d + 14. Let r be f(13). Let g(a) = -3 + 2*a + a - r + 3. What is the remainder when g(2) is divided by 2?
1
Suppose 7*t - 527 = -24*t. Suppose -2*m - 100 = -4*m. Calculate the remainder when m is divided by t.
16
Suppose 25 = 5*f - 2*t + 3*t, -15 = -3*f - 5*t. Suppose u + 0*s - 18 = -s, f*s + 15 = 0. Calculate the remainder when 122 is divided by u.
17
Let r(w) = w - 2. Let o be r(4). Suppose -o*j - 47 = j - q, 2*q + 26 = -2*j. Let h = j - -45. Calculate the remainder when 59 is divided by h.
29
Let y(s) = s + 15. Let c be y(-13). Suppose c*k - w - w = 84, -2*k + 87 = -3*w. Calculate the remainder when k is divided by (-92)/(-9) - (-4)/(-18).
9
Suppose 33 = -4*j - 6*v + v, -2*j = 3*v + 19. Let u be ((-2)/(-3))/(j/(-9)). Suppose 9 + 6 = u*o. Calculate the remainder when 19 is divided by o.
4
Suppose -3*g = -4*g + 9. Let f(i) be the second derivative of i**4/6 + 2*i**3/3 + i**2/2 - 2*i. What is the remainder when f(-4) is divided by g?
8
Suppose 2*x + 36 + 6 = 0. Calculate the remainder when 26 is divided by (98/x)/(2/(-3)).
5
Suppose 4*c + 13 = -43. What is the remainder when (-14)/(-5)*(1 + 24) is divided by (-10)/35 - 256/c?
16
Suppose 44 = 4*a + 3*w, 6*a - a - 55 = 4*w. Let o = a - -6. Suppose -f - 4*u = -7, -u - u + o = 5*f. Calculate the remainder when 14 is divided by f.
2
Let c(p) = p**3 - 34*p**2 + 5*p + 6. What is the remainder when c(35) is divided by 88?
86
Suppose r = 30 - 428. Let u = r + 768. What is the remainder when u is divided by 53?
52
Let x(q) = -q**2 + 16*q + 17. Let z(s) = s**2 - 6*s + 8. Let u be z(7). Let m be x(u). Let l = m + -7. What is the remainder when l is divided by 7?
4
Let u = 349 - 310. What is the remainder when 388 is divided by u?
37
Let m(l) = 137*l - 658. What is the remainder when 106 is divided by m(5)?
25
Let o = -958 - -1101. Calculate the remainder when o is divided by 38.
29
Suppose 13*l - 452 = -75. What is the remainder when 131 is divided by l?
15
What is the remainder when 43 is divided by (-912)/(-56) - (4 + 52/(-14))?
11
Let l(g) be the first derivative of -g**4/4 - 16*g**3/3 - 17*g**2/2 + 31*g - 17. What is the remainder when l(-15) is divided by 31?
30
Let n(z) = 2*z**2 - 10*z + 8. Suppose -j + 41 = 2*w + 12, 2*w - 32 = -2*j. Let p = w + -6. What is the remainder when n(6) is divided by p?
6
Let q(v) = -v**2 + 17*v - 10. Let f be q(17). Let g = f + 18. Let t(w) = w**3 + 12*w**2 + 7*w - 21. Calculate the remainder when t(-11) is divided by g.
7
Let s be (-3)/(-4 - 164/(-44)). Suppose 0 = -q + 3*c + 57, 1 - s = 2*c. Let g(w) = -2*w - 1. Calculate the remainder when q is divided by g(-6).
9
Suppose -16*i + 21*i + 10 = 0, 0 = -2*m + 3*i + 54. What is the remainder when 44 is divided by m?
20
Suppose 3*l + 76 = -2*u + 276, l - 2*u - 72 = 0. What is the remainder when l is divided by 25?
18
Let h = -17 + 17. Suppose h = -5*v - 0*v. Suppose -d + v*d + 8 = 0. What is the remainder when 14 is divided by d?
6
Let h(s) = -s**3 - 63*s**2 + 3*s + 220. Calculate the remainder when 371 is divided by h(-63).
30
Let h = 331 - 279. Suppose -4*y + 7*y = 0. Suppose -4*g + 35 + 21 = y. What is the remainder when h is divided by g?
10
Let f(g) = -g**3 + 5*g**2 + g + 1. Let i be f(4). Suppose -o + 3*v - 4*v = -9, -i = -3*o - v. Calculate the remainder when 6 is divided by o/42 + (-26)/(-14).
0
Suppose 0 = 6*p - 3*p - 45. Suppose -d = -92 - 46. Let g = d + -130. Calculate the remainder when p is divided by g.
7
Suppose 0 = -m + 7 + 73. Let j be 0/1 + 4/(-2). Calculate the remainder when m is divided by (j/(-6))/(2/162).
26
Let u(w) = w + 10. Suppose -20*x + 17 = -3*x. What is the remainder when -4*148/(-16)*x is divided by u(0)?
7
Let l = 1447 + -939. What is the remainder when l is divided by 10?
8
Suppose l + 5 = 0, 4*j + 3*l = j + 21. Calculate the remainder when 18 is divided by j.
6
Suppose 5*l - 10 = 5*a, -4*l + 2*a + 14 = -0*l. Let j(u) = 0 + 6 + u + l. What is the remainder when 19 is divided by j(-6)?
4
Suppose 5*j = 2*j + 6. Suppose h - 21 = 2*l, 4*h = j*l + 58 + 8. What is the remainder when h is divided by 8?
7
Let k = -32 - -37. Suppose 2*t = -0*t - k*p - 9, -3*p - 7 = t. What is the remainder when (-410)/(-14) 