ainder when (1/(-3) - -1)*15 is divided by 10/15 - (-48)/9?
4
Suppose b = -b + 10. Suppose b*s = -3*n + 1 + 2, -5*s = 0. Calculate the remainder when n is divided by 1.
0
Suppose 4*r = -r + 45. Suppose 4 = 2*o - 6. Calculate the remainder when r is divided by o.
4
Suppose 8 + 37 = 3*m. Calculate the remainder when 26 is divided by m.
11
Suppose 3*x = -0 + 111. Let j(l) = 4*l - 17. Let u be j(7). Let z = 8 + u. What is the remainder when x is divided by z?
18
Let v be (-70)/(-50) - 4/10. Calculate the remainder when 3*v/3 - -23 is divided by 13.
11
Let u = 63 + -31. Calculate the remainder when u is divided by 11.
10
Suppose -2*f + 7 - 1 = -3*c, c - 6 = -2*f. Calculate the remainder when 17 is divided by f.
2
Let s = 152 - 104. Calculate the remainder when s is divided by 17.
14
Let l be 290/90 + 2/(-9). Let p be (l/(-2))/((-12)/16). Calculate the remainder when 14 is divided by (p/6)/(2/30).
4
Let f = 25 + -10. Calculate the remainder when (-6)/(-14) - (-1525)/35 is divided by f.
14
Suppose -4*w + 3*o = -83, -5*w + 6*o - o = -105. Let h = 15 + -8. What is the remainder when w is divided by h?
6
Suppose -4*a + 2*a = 2*i + 66, 2*a = 2*i - 58. Let r = 62 + a. Calculate the remainder when r is divided by 17.
14
Let s = 34 - 22. Calculate the remainder when 71 is divided by s.
11
Suppose 4*x - 28 = 4*i, 0 = -x + 10 - 5. Let z = 8 + i. Let s = 21 - 11. Calculate the remainder when s is divided by z.
4
Suppose 5*q + 31 = -3*d, q = -5*d - 6 - 9. Let n be 3 - (-1 - d/(-2)). What is the remainder when 20 is divided by n/(-15) - (-44)/6?
6
Let k = 129 - 91. Calculate the remainder when k is divided by 8.
6
Let g = -22 - -27. Let y(m) = 5*m + 2. What is the remainder when y(2) is divided by g?
2
Suppose -l + 3*l = 34. What is the remainder when 82 is divided by l?
14
Let x be -9 - (-2 + (2 - 1)). Let y be (6/(-5))/(x/(-20)). What is the remainder when y/6 + (-339)/(-6) is divided by 19?
18
Let w(x) = -x - 4. Calculate the remainder when w(-6) is divided by 1.
0
Let c(n) = n**3 - 10*n**2 + 2*n - 13. Calculate the remainder when 9 is divided by c(10).
2
Suppose 0 = -2*y + 4*u + 12, -2*u = -3*y + 3*u + 21. Let o = -53 + 74. Calculate the remainder when o is divided by y.
9
Let n(b) = -b**3 - 5*b**2 - 5*b + 4. Suppose -3*q - 2 = -5*q, -8 = 3*t + 4*q. Calculate the remainder when 23 is divided by n(t).
7
Let w(k) = 2*k**2 + 2*k + 2. Let q(r) = -r + 15. What is the remainder when w(-5) is divided by q(0)?
12
Suppose 0*l - 385 = -5*s - 4*l, -25 = -5*l. What is the remainder when s is divided by 38?
35
Let n = -27 + -3. What is the remainder when 17 is divided by (10/n)/(1/(-15))?
2
Let b = -7 + 12. Suppose r - b*m - 20 = -2*r, 5*r - 28 = 3*m. Suppose -r*y = 3*q - 34, 0 = -5*y - 0*y + 3*q + 46. What is the remainder when 15 is divided by y?
7
Suppose 0 = 3*q - 241 - 35. What is the remainder when q is divided by 14?
8
Suppose -3*p - 4*z + 84 = z, 2*p - 51 = -5*z. What is the remainder when 65 is divided by p?
32
Suppose -2*z + 6 = -0. Let c(g) = g**2 - 2*g + 6. Calculate the remainder when c(-5) is divided by (10/2 - z)*7.
13
Let m = -33 - -44. Calculate the remainder when 42 is divided by m.
9
Let v(s) = s**3 + 7*s**2 + 6*s + 4. Let p be v(-6). Let r(d) = d**2 - d - 2. What is the remainder when 38 is divided by r(p)?
8
Suppose 2*n - 122 = -0*f - 3*f, -3*n = f - 36. What is the remainder when 80 is divided by f?
38
Calculate the remainder when (-411)/(-21) - (-6)/14 is divided by 7.
6
Suppose 4*f - 4*d = 4, 3*f + d - 3 = 2*f. Let r(o) = -o**3 - 3*o**2 + 3*o - 2. What is the remainder when r(-4) is divided by f?
0
Suppose -4*a = 5*k - 153 - 219, 186 = 2*a - 2*k. Calculate the remainder when a is divided by 12.
9
Let i = 107 + -55. What is the remainder when i is divided by 11?
8
Let i = -12 - -37. Calculate the remainder when (-291)/(-4) - 3/(-12) is divided by i.
23
Suppose -11*b + 8*b + 21 = 0. Calculate the remainder when b is divided by 4.
3
Let k = 6 - 4. What is the remainder when 15 is divided by 9/(0 - (k - 3))?
6
Let m(r) = -2*r + 22. Calculate the remainder when m(-11) is divided by 16.
12
Suppose 25 + 47 = 4*y. What is the remainder when 33 is divided by y?
15
Suppose -112 = 4*c + 36. What is the remainder when (0 + -3 - -2)*c is divided by 13?
11
Suppose -3*s + 91 = 16. Suppose -4 = -4*d, -i + 5*d = -3*i + 9. Suppose 4*n = -3*u + 39, -3*u = i*n - 0*n - 39. What is the remainder when s is divided by u?
12
Let v(t) = t**2 + 16*t + 19. Calculate the remainder when 13 is divided by v(-15).
1
Suppose n = -4*n - y + 23, -5*n = -y - 17. Suppose -n + 12 = 4*p. Calculate the remainder when (-1)/p*2*-14 is divided by 5.
4
Let t be (114 - -2)*(-2)/(-4). Suppose -5*j + a = -153, 0 = 4*j - a - 181 + t. What is the remainder when j is divided by 8?
6
Let g = 29 - 15. Suppose 2*d = 6, -j + d = 3*d - g. What is the remainder when 21 is divided by j?
5
Let l = -14 - -26. Suppose -137 = 5*f - 2*i, -3*f - 3*i + 6*i = 75. Let g = 52 + f. Calculate the remainder when g is divided by l.
11
Suppose y - 6 = 2*r, 0 = -5*y + 5*r + 44 - 9. Let t = 72 - 41. What is the remainder when t is divided by y?
7
Suppose -2*m - 63 = -151. Suppose 4*s = -5*x + 71, 2*x + 5*s - 18 = 7. Calculate the remainder when m is divided by x.
14
Suppose -7*u = -2*u - 45. What is the remainder when 16 is divided by u?
7
Let j = 86 + -62. What is the remainder when 92 is divided by j?
20
Let h(a) = -a + 45. Calculate the remainder when 152 is divided by h(14).
28
Let i = 291 + -185. Calculate the remainder when i is divided by 27.
25
Let c(q) = -12*q - 17. Calculate the remainder when 27 is divided by c(-3).
8
Let j be (-12 - 6/(-2)) + 3. What is the remainder when 21 is divided by ((-16)/10)/(j/45)?
9
Suppose 5*z + 39 - 114 = 0. Suppose 8*u = 10*u - 142. Suppose -33 = -n - 0*o + o, 0 = 2*n - 3*o - u. What is the remainder when n is divided by z?
13
Let s = -10 - 7. Let m = 0 - s. Let d(b) = -b + 5. Calculate the remainder when m is divided by d(0).
2
Let w(v) be the first derivative of -4*v**3/3 - v**2 - 1. Let o be w(-3). Let f = -14 - o. What is the remainder when 46 is divided by f?
14
Suppose -3*j = -8 - 7. Let t = -43 - -78. Suppose j*o = 5 + t. What is the remainder when o is divided by 3?
2
Suppose v = 4*q + 18, -5*v + 5*q - 77 = -182. Suppose n - 2*c + 5*c = 17, 2*n + 2*c - v = 0. Calculate the remainder when 15 is divided by n.
7
Let i be 12/(-3 + 1 + 3). Let f(k) = k**3 - 11*k**2 - 9*k - 5. Suppose 2*y = -3*q + 41, -3*q + 3*y + 21 = -0*q. What is the remainder when f(i) is divided by q?
9
Suppose -i + 166 = i. Let h(c) = c**2 + c + 21. Calculate the remainder when i is divided by h(0).
20
Let p = -9 + 18. What is the remainder when 25 is divided by p?
7
Let t = 5 - 3. Suppose -6*r + 8 = -t*r. What is the remainder when 5 is divided by r?
1
Let w = 10 - -9. Let d(a) be the second derivative of -a**4/12 - 7*a**3/6 + 2*a**2 - a. What is the remainder when w is divided by d(-6)?
9
Suppose 1 = -2*z + 19. What is the remainder when 30 is divided by z?
3
Let j(s) = s**3 + 5*s**2 - s + 1. What is the remainder when j(-4) is divided by 11?
10
Let z(w) = -w**3 + 4*w**2 + 5*w + 1. Let i be z(5). Let g = i + 3. What is the remainder when 6 is divided by g?
2
Suppose -3 + 0 = -r, r - 11 = -2*d. Suppose 23 = d*p - 213. What is the remainder when p is divided by 20?
19
Let u(o) = o - 1. Let w be u(6). Suppose w*l - 164 = 21. What is the remainder when l is divided by 10?
7
Calculate the remainder when 25 is divided by (-18)/99 + (-145)/(-11).
12
Let a(f) be the third derivative of -1/60*f**5 + 1/6*f**4 + 3*f**2 + 0*f + 1/2*f**3 - 1/120*f**6 + 0. Calculate the remainder when a(-3) is divided by 5.
4
Let n(z) = 3*z**2 + 11*z + 9. Let o(s) = -s**2 - s - 1. Let y(i) = -n(i) - 2*o(i). Suppose -3*p - 11 = 4. What is the remainder when y(p) is divided by 5?
3
Suppose -34 = 32*m - 34*m. Calculate the remainder when 31 is divided by m.
14
Suppose -3*c = -40 - 71. Suppose b - c = 11. What is the remainder when b is divided by 17?
14
Let x = 2 - -13. Suppose 4*o + 2*q - 46 = 0, -4*q = 2*o - o - x. What is the remainder when 19 is divided by o?
8
Let r(v) = -3*v**3 - 2*v**2 + 2*v. Let q be r(2). What is the remainder when 8 is divided by (-147)/q + (-1)/4?
3
Let j(f) = -f**3 + 17*f**2 - 32*f + 33. Suppose z = o +