What is the remainder when d is divided by (-64)/(-10) - (-6)/(-15)?
3
Suppose -1931 = -12*y - 695. What is the remainder when y is divided by 11?
4
Let x be 5/2*(-78)/(-15). Suppose 18*h - x*h = -25. Calculate the remainder when (-16)/20 + (-124)/h is divided by 5.
4
Suppose -2 = 89*f - 90*f. Calculate the remainder when 77 is divided by (-1)/f - (-715)/26.
23
Let p(j) = j**2 - 4*j - 8. Let b be p(6). Let t = b + 3. Let g = t + 12. What is the remainder when g is divided by 10?
9
Let q(v) = 73*v - 489. What is the remainder when q(10) is divided by 80?
1
Let w(p) = 14*p - 48. Calculate the remainder when w(5) is divided by 6.
4
Let m(b) = b**2 + 9*b + 3. Let f(v) = v + 3. Let u be f(-12). Let z be m(u). Suppose 9*p = z*p + 66. Calculate the remainder when p is divided by 2.
1
Let h(q) = -22*q + 2. Let j be h(5). Let f = 421 + -411. Calculate the remainder when (2/(-4))/(3/j) is divided by f.
8
Let q(i) = -i**3 - 34*i**2 + 37*i + 86. What is the remainder when q(-35) is divided by 16?
0
Let z = -25 + 43. Let h = -1186 + 1256. What is the remainder when h is divided by z?
16
Suppose -5*w = -2*q - 63, -3*q + 67 = 5*w - q. Let r = 2 - -15. What is the remainder when r is divided by w?
4
Suppose 4*x - 25 + 1 = 0. Let z(y) = 6*y**2 - y. Let d be z(1). Suppose d*c - 2*c - 66 = 0. Calculate the remainder when c is divided by x.
4
Suppose -3*c + 38 = p, 0 = -2*c + 4*p - 0 + 16. Calculate the remainder when -2 + 18/c - (-350)/4 is divided by 32.
23
Let s(z) = 12 + 13*z + 8*z**2 - 8*z + z**3 - 9*z - 5*z. Calculate the remainder when (-2)/1 + (20 - -3) is divided by s(-9).
9
Suppose -12*r + 1344 = -492. Calculate the remainder when r is divided by 8.
1
Let a be 2/(-13) - 938/(-13). Let o = a + -40. What is the remainder when o is divided by 18?
14
Suppose 8*g = 15*g - 35. What is the remainder when 28 is divided by ((-85)/(-20) - g)*-2*4?
4
Suppose 0 = -0*c - 4*c + 92. Let r = c + -13. Suppose -3*h + 4*f - 8 = -103, 16 = 4*f. What is the remainder when h is divided by r?
7
Suppose -5*i + 130 = -125. Let z = i - -7. What is the remainder when z is divided by 20?
18
Let c = -61 - -60. Let h(r) = -7*r + 1 + 28*r**2 + 7*r. Calculate the remainder when h(c) is divided by 8.
5
Suppose -2*b = 4*j - 32, 5*j = 3*b + 3*b + 6. Calculate the remainder when 86 is divided by j.
2
Suppose -3*c = -4*t - 195, 2*c = -t - 37 + 2. Let d = -36 - t. Calculate the remainder when 33 is divided by d.
6
Calculate the remainder when 29 is divided by ((-3)/(-6))/((-6)/(-180)).
14
Suppose -2*o = 4*o - 84. Suppose -o*p + 52 = -12*p. What is the remainder when 207 is divided by p?
25
Suppose -13*f + 992 = -5*f. What is the remainder when f is divided by 44?
36
Let l = 642 + -302. What is the remainder when l is divided by 38?
36
Suppose 2 = 5*n - 73. Let h be (3/2)/(n/10). Suppose 1 = -i - 4*v + 2, -i + 3*v = -h. What is the remainder when 1 is divided by i?
0
Let n = 134 - 93. Let p(r) = -1 + 15*r**2 + 0 + 11*r**2 - 11*r**2. What is the remainder when n is divided by p(-1)?
13
Suppose 17*s = 19*s - 38. Suppose -4 = -4*w + 12. Calculate the remainder when s is divided by w.
3
Let b = -462 + 476. Calculate the remainder when 78 is divided by b.
8
Let j = -99 - -66. Let c = j + 46. Suppose -h - 4 + 15 = f, f + 2*h = 14. Calculate the remainder when c is divided by f.
5
Suppose 5*x + 14 = -2*o, o - 5*x = -x + 19. Let i be (-9)/(-3) + -6 + 16. Let l = -4 + i. What is the remainder when l is divided by o?
0
Suppose 0 = n + 4*t + 7, n - 3*n + t = -13. Suppose n*p - 3*p - 2*q = 292, -2*p - 4*q = -292. Let k = p + -88. What is the remainder when k is divided by 15?
13
Let o = 698 - 626. What is the remainder when 570 is divided by o?
66
Suppose 4*w - 2*i = w - 40, 3*i = 6. What is the remainder when ((-3)/(-2))/(w/(-200)) is divided by 11?
3
Let b(x) = -9*x - 3. Let s = 24 - -85. Suppose -s*o = -118*o + 135. What is the remainder when b(-5) is divided by o?
12
Let f = 126 - 107. Calculate the remainder when 46 is divided by f.
8
Suppose -3*n - 4*t - 44 = 0, -4*t + 4 = 3*n - 6*n. Suppose 4*z = 5*z - 4. What is the remainder when z*(-4)/n + 24 is divided by 9?
8
Let a = 8 + 0. Let w(i) = -i**3 + 12*i**2 - 11*i + 10. Let p be w(a). Let m = p - 120. Calculate the remainder when m is divided by 12.
10
Let v(c) = 0 + 0*c + 1 - c. Calculate the remainder when 49/(-2)*(-4)/14 is divided by v(-3).
3
Suppose 109 = 3*i - 5*q, -4*q = 4*i + 4 - 96. Calculate the remainder when i is divided by 12.
4
Let o(m) = m**3 - 12*m**2 + 10*m + 4. Let c(n) = -n**3 + 11*n**2 - 9*n - 3. Let a(s) = 4*c(s) + 3*o(s). What is the remainder when a(5) is divided by 16?
13
What is the remainder when ((7 - (0 - -9)) + 1 + -3)*-5 is divided by 8/(-10)*30/(-4)?
2
Suppose 44 = 3*b + 23. Let z(g) = 2*g**2 + 3*g + 2. Calculate the remainder when z(b) is divided by 31.
28
Let r = 331 + -324. Calculate the remainder when 18 is divided by r.
4
Calculate the remainder when (-6)/45 - (-1294)/30 is divided by 22.
21
Suppose 0*g - 21 = -3*g. Let b be (-1)/(1/(2/2)). Let d(a) = -3*a**3 - a**2 - a - 1. Calculate the remainder when g is divided by d(b).
1
Let c(r) = -19*r - 46. What is the remainder when 568 is divided by c(-4)?
28
Suppose -y = -4*a + 3*y - 104, -4*a - 5*y = 122. Let q be (28/6)/(a/42). Calculate the remainder when 62 is divided by (-28)/98 + (-226)/q.
30
Let w = -188 - -231. Suppose 2 - 7 = 5*f. Let c = 10 - f. What is the remainder when w is divided by c?
10
Suppose 6*h - 1886 = 1228. Suppose -224 - 148 = -3*o - 2*c, 5*c = 4*o - h. Calculate the remainder when o is divided by 43.
40
Let d(i) = 64*i**2 - i - 2. Let s be d(-1). Let a = s + -44. Calculate the remainder when a is divided by 4.
3
Suppose -5*h = 4*x - 0*x - 102, -x = 5*h - 33. Calculate the remainder when (-5)/(20/(-132)) - -3 is divided by x.
13
Let h = 16 - 38. Let b = -12 - h. Calculate the remainder when 69 is divided by b.
9
Suppose 167 = 5*o + 157, 0 = 4*b - 2*o - 600. Calculate the remainder when b is divided by 24.
7
Let i(h) = -7*h**3 + 3*h**2 + 2*h + 3. Let r(n) = -n**3 + 5*n**2 - 9*n + 7. Let o be r(3). Calculate the remainder when i(o) is divided by 14.
11
Suppose -3*o + 2*o = -3*h - 43, -5*o + 85 = -5*h. Let b = h + 24. Calculate the remainder when 51 is divided by b.
7
Suppose 8*c = -i + 6*c + 26, 8 = 4*c. Calculate the remainder when 492 is divided by i.
8
Let m(d) = d. Let t be m(3). Let x(b) = -b**3 - 2*b + 3 + 0 + 6*b**2 - 6. What is the remainder when x(t) is divided by 5?
3
Suppose -25*z + 26*z = 10. Calculate the remainder when 57 is divided by z.
7
Let b(w) = -3*w - 37. Suppose -4*z + 2*g - 59 - 9 = 0, -4*g - 8 = 0. What is the remainder when b(z) is divided by 11?
6
Suppose o = 0, -6*h - 210 = -9*h + 3*o. What is the remainder when h is divided by 6?
4
Let a = -327 + 340. What is the remainder when 675 is divided by a?
12
Let r(p) = -13*p - 62. Calculate the remainder when r(-6) is divided by (-350)/(-45) + -2 + 4/18.
4
Suppose 2*n + 2*x = 6, -6 = 3*n - 3*x - 3. Let s(a) = n + 0 - 2 - a**2 + 3*a**2 - 7*a. Calculate the remainder when s(6) is divided by 8.
5
Suppose 2*o = 4*o - 48. Suppose 16 = 4*q, -4*v + 3*q = -5*v + o. Suppose a = g + 43, -3*g - v = -0*g. Calculate the remainder when a is divided by 20.
19
Let v be (9/5)/(4/(-20)). Let u = v - -10. Calculate the remainder when 2 is divided by u.
0
Let y be 0 + 1 - (-3 - -1). Suppose 0 = y*t - 99 + 21. Suppose 5*w - 20 = -2*o + 3*w, -o = -2*w - 1. What is the remainder when t is divided by o?
5
Let v(c) = c**2 - 10*c + 28. Calculate the remainder when 28 is divided by v(6).
0
Suppose 4*m + 5*z = -m + 80, -5*z = 2*m - 17. Suppose a + 25 = 3*b + 1, 3*a + b = -22. Let u = 20 + a. What is the remainder when m is divided by u?
10
Suppose 4*d - 336 + 992 = 0. Let t = d + 69. Let n = 138 + t. Calculate the remainder when n is divided by 15.
13
Suppose -14*m + 994 = -322. Calculate the remainder when m is divided by 38.
18
Let j(o) = o**3 - 2*o**2 + 3. Let m be j(2). Let u(n) = 2*n - 4. Let i be u(3). Suppose -45 + m = -i*z. Calculate the remainder when z is divided by 8.
5
Suppose -2*t - 4*t = 240. Let k = t + 47. Suppose -85 = -3*o + 11. What is the remainder when o is divided by k?
4
Let v(c) = -c**2 + 64*c - 349. What is the remainder when v(47) is divided by 41?
40
Let w(n) = -2*n**2 - 