he remainder when 709 is divided by (-6 - 0) + 83 + (2 - 0)?
77
Suppose c = -3 + 6. Let z be (-6 - -15)*c/9. Let m(u) = u + 4. Calculate the remainder when m(z) is divided by 2.
1
Let q = -35 + 51. Let o(c) = c**3 + 7*c**2 + 3*c + 1. Let y be o(-4). Let w = q + y. Calculate the remainder when w is divided by 18.
17
Let h = -2 - -9. Let z be ((-9)/(-18))/((-1)/(-4)). Suppose -4*b + 82 = 3*t, -z*b - 3*t + 48 = 2*t. What is the remainder when b is divided by h?
5
Let q(u) be the second derivative of 7*u**3/3 + 19*u**2/2 + 16*u. Calculate the remainder when q(4) is divided by (0 - -1)*(-3 - -16).
10
Let z(n) = -n**2 - 19*n + 45. Let u be z(-21). Let h = 4 + -4. Suppose -4*l = -u*y + 22, -y = -h*l - 5*l + 11. Calculate the remainder when 26 is divided by y.
12
Suppose -2*g = -w + 3*g + 61, 4*g = -4. What is the remainder when w is divided by 37?
19
Let h(t) = -13*t + 221. What is the remainder when 50 is divided by h(16)?
11
Suppose -d + 16 = q, 3*q = 9*d - 7*d + 38. What is the remainder when 250 is divided by q?
12
Let u(g) = 12*g - 2. Suppose -4*t + t - 3*v + 42 = 0, -2*v - 8 = -t. Let x be (3 - 2) + t/3. Calculate the remainder when u(x) is divided by 30.
28
Let l = 196 + -24. Calculate the remainder when l is divided by 87.
85
Let q(d) = -6*d + 7. What is the remainder when 4/(-1)*535/(-20) is divided by q(-5)?
33
Suppose -4*f + 28 = -4*k, -2*f - 11*k + 9*k + 22 = 0. Suppose 17*w - f = 42. Calculate the remainder when 17 is divided by w.
2
Let o = -9 - -26. What is the remainder when o is divided by (2 + 0 - (-6 - -5)) + 1?
1
Let p = -130 + 182. What is the remainder when p is divided by 6?
4
Let r = 33 + -3. Let d = -3 + 9. Calculate the remainder when 22/(-165) + 304/r is divided by d.
4
Suppose 0*q - 31*q + 1457 = 0. What is the remainder when 88 is divided by q?
41
Let x = -5 + 16. Let w be (0 + 0)/(x - 13). Suppose 4*t + 2*r = 112 + 12, w = 5*r. Calculate the remainder when t is divided by 16.
15
Let s = 13 + 3. Let v = 20 - s. Calculate the remainder when v is divided by 3.
1
Suppose -l - 2*k = -37, 3*l - 7*l - 3*k = -148. Calculate the remainder when l is divided by 5.
2
Suppose 15 - 50 = -7*t. Suppose t*o - o - 3*y = 144, -31 = -o + 2*y. Calculate the remainder when o is divided by 15.
9
Suppose 5*w + 8*h - 300 = 3*h, 0 = 2*h + 4. Let j(v) = -v**3 - 23*v**2 - 22*v + 13. Calculate the remainder when w is divided by j(-22).
10
Let d be (2/(-6))/(5/(-63 + 3)). Suppose 0 = -l + y + 2 + 3, -d*l + 5*y + 23 = 0. Calculate the remainder when l is divided by 2.
0
Let v(x) = x**2 + 29*x - 114. Calculate the remainder when v(5) is divided by 18.
2
Let j = -25 + 48. What is the remainder when 5 + 2190/36 - (-3)/18 is divided by j?
20
Let l = 1047 - 993. Calculate the remainder when l is divided by 20.
14
Let y be 3*-14*(-1)/(-2). What is the remainder when 7/y*6/(-2) is divided by 1?
0
Let s = -10 - -12. Let l be s + 2/(8/212). Suppose o - 2 = r, 0 = -2*o - 5*r - 16 + l. What is the remainder when 18 is divided by o?
4
Suppose 2*t - p - 36 = 0, 3*t - 49 = -0*t - p. Calculate the remainder when 88 + (-6)/(6/5) is divided by t.
15
Suppose u - 12 = -u + 4*x, 12 = 5*u - 4*x. Suppose -4*b + 14 + 6 = u. Suppose 4*l - 25 = y, -5*l - b*y = -0*l. What is the remainder when l is divided by 4?
1
Calculate the remainder when 244 is divided by 52*2/(-24)*105/(-35).
10
Let s(b) = -b + 22. Let a = -26 - -30. What is the remainder when (89 - (a - 3)) + -3 is divided by s(0)?
19
Suppose 5*a - k = 190 + 56, 4*a - 2*k - 198 = 0. Let p be 2/((-4)/(-70))*1. Let z = p + -9. What is the remainder when a is divided by z?
23
Suppose 39 = -4*o - 205. Let d = o - -84. What is the remainder when d is divided by 8?
7
Let j(x) = -9*x - 1. Let l be j(-1). Let o = 132 - 140. Calculate the remainder when 19 is divided by 78/l - 2/o.
9
Let g(i) = -2*i**3 - 3*i**2 + 16*i + 13. What is the remainder when g(-6) is divided by 35?
31
Suppose 4*t + 5 = 1. Let k(o) = 6*o**2 - 2*o - 1. Let s = -55 + 82. What is the remainder when s is divided by k(t)?
6
Let g = 129 - 122. Calculate the remainder when 88 is divided by g.
4
Let h(r) = r**2 + 8. Let b be h(0). Suppose 8*k - 103 = 3*k - 2*w, 0 = -2*w + b. Suppose -3*l + 292 = l. Calculate the remainder when l is divided by k.
16
Let s = -447 - -452. Let z = -6 - -8. Suppose -s*t = 3*q - 85, q + 48 = z*t + 5*q. What is the remainder when 41 is divided by t?
13
Suppose 0 = 3*u + 3*h - 12, -3*u - 2*h + 3 + 5 = 0. Suppose u = 7*n - 3*n - 48. What is the remainder when 33 is divided by n?
9
Suppose -4*j + 64 = -4*s, -7*s = -3*s - 5*j + 62. Let m = 107 - 91. What is the remainder when 7 is divided by s/(-4) + 8/m?
2
Let b = -465 + 522. Let u = -3 + 9. Suppose -b = u*q - 189. What is the remainder when q is divided by 12?
10
Let z = 189 + 595. Suppose 0*o = 16*o - z. What is the remainder when o is divided by 18?
13
Let s(o) = 93*o - 65. What is the remainder when s(4) is divided by 103?
101
Let x be (-2)/8 - 45/(-20). Suppose 5*y - 2*l = 54, -2*l - 2 = x. Let m = 13 - y. What is the remainder when 8 is divided by m?
2
Suppose 39*r - 52 = 35*r. Suppose 128 = 5*s + r. Calculate the remainder when 43 is divided by s.
20
Let r = -6863 + 6867. Suppose 5*y - 5 = 3*y + w, -3*y = -w - 8. Calculate the remainder when r is divided by y.
1
What is the remainder when 37 is divided by 888/90 - (-3 + 86/30)?
7
Let d(h) = -h**3 + 4*h**2 + 3*h. Let g be d(5). Let a = g - -12. Suppose 2*j = -a*j + 4*s + 28, 3*j = -5*s + 45. What is the remainder when 27 is divided by j?
7
Suppose -10 = -t + 4*o, -2*t - 8*o + 10*o + 50 = 0. Calculate the remainder when 113 is divided by t.
23
Suppose -q = -5*g + 30, -2*q = 3*g - 6*q - 18. Suppose b = 5*m - 33 - 47, 0 = -2*m - b + 39. What is the remainder when m + (5 - 5/5) is divided by g?
3
Suppose 0 = 5*q + 2*z + 3*z - 165, -4*q + 3*z + 125 = 0. Calculate the remainder when 90 is divided by q.
26
Let r(h) = h**2 - 2*h + 9. Suppose 0 = -7*s + 8*s - 4. What is the remainder when 66 is divided by r(s)?
15
Let z(b) = 7*b**2 + 27*b + 28. Calculate the remainder when z(-6) is divided by 38.
4
Let v = 3 + 29. What is the remainder when v is divided by -9*(1/1 + -2)?
5
Let r = -72 + 64. Let h = -25 + 44. What is the remainder when ((-150)/80)/((-6)/r)*-22 is divided by h?
17
Let v(d) = d**2 + 15*d - 27. Let b be v(-16). Let o(r) = 2*r**2 + 20*r - 7. Suppose 5*c - 172 = c. What is the remainder when c is divided by o(b)?
13
Suppose -9*q + 1456 = -2*q. Calculate the remainder when q is divided by 53.
49
Calculate the remainder when -1 - 1 - (7 - (46 - -1)) is divided by 8.
6
Let b(w) = w**3 - 27*w**2 - 21*w - 61. Calculate the remainder when b(28) is divided by 14.
9
Let y(x) = 13*x + 41. Let n(a) = -4*a - 14. Let c(p) = 8*n(p) + 3*y(p). Calculate the remainder when c(0) is divided by 3*(2 + -1)*1.
2
Let x = -24 + 23. Let h(a) = -6*a**2 - 2*a - 2. Let o be h(x). What is the remainder when ((-119)/(-51))/((-2)/o) is divided by 2?
1
Suppose -4*k = 12, 3*h + 17*k = 18*k + 87. Calculate the remainder when h is divided by 11.
6
Suppose -1966 - 559 = -25*b. What is the remainder when b is divided by 40?
21
Suppose 6*n = 3*n. Suppose 3*a = -n - 12. Let q = 27 + a. What is the remainder when q is divided by 12?
11
Calculate the remainder when 71 is divided by (1 - 0)/(2/8) + 8.
11
Suppose 0 = -0*b + b + 5, 0 = -2*d + 2*b + 186. Suppose 3*p - d = -5*p. What is the remainder when 31 is divided by p?
9
Let l = -566 - -290. Calculate the remainder when ((-6)/7)/(l/273 - -1) is divided by 23.
9
Let a(j) = 85*j - 305. Calculate the remainder when 113 is divided by a(4).
8
Let w be ((-44)/(-12))/(1/(-15)). Let i = -19 - w. What is the remainder when 37 is divided by (5/3)/(6/i)?
7
Suppose 0*x = -4*x + 140. Suppose 2*c - 36 = 2*b, -3*c + 2*b + x = -17. Let f(z) = z**2 - 26*z + 72. Calculate the remainder when c is divided by f(23).
1
Let p(c) = c**2 - 48*c - 3544. What is the remainder when p(89) is divided by 79/9 - 4/(-18)?
6
Suppose 2*b + z = 19 + 22, -17 = -b - 4*z. Calculate the remainder when 27 is divided by b.
6
Let a(u) = -u**2 + 2*u - 4. Let k be a(3). Let n = k - -6. What is the remainder when 20 - (2 - n)/(-1) is divided by 12?
11
Suppose -4*h - 5*l = -60 - 137, h = -l + 50. Suppose 86 = 3*q - c, -4*q - 2*c = -149 + 21. What is the remain