is the remainder when n(0) is divided by (2/((-30)/(-57))*-2)/(4/(-10))?
15
Suppose -3*h - 11 = -m, -4*m + 0*h = 3*h - 74. Calculate the remainder when 185 is divided by m.
15
Let c(t) = t**3 + 10*t**2 + 8*t - 18. Let v be c(-9). Let x = 63 + v. What is the remainder when x is divided by 29?
25
Let s(r) = 8*r - 7. Calculate the remainder when s(5) is divided by (4/(-3))/1 + (-488)/(-24).
14
Let k = 148 - 135. Let g be (-4)/10 + 4/10. Suppose -4*z + 144 = -g*z. Calculate the remainder when z is divided by k.
10
Suppose -a - 4*a = -5, 2*l = -2*a + 28. Suppose -2*m + l = -97. What is the remainder when m is divided by 19?
17
Let g = -150 + 156. Suppose -2*b - 118 = -4*b. Calculate the remainder when b is divided by g.
5
Let o(u) = 12*u**3 + u**2 - u. Let k be o(1). Let f(h) = 123*h**2 + 2*h + 1. Calculate the remainder when f(-1) is divided by (1*-2)/(k/(-186)).
29
Let v(c) be the first derivative of 81*c**2/2 - 12*c + 30. Calculate the remainder when v(1) is divided by 12.
9
Suppose -13*d + 19*d - 120 = 0. What is the remainder when d is divided by 11?
9
Suppose 213 = 7*o - 186. Suppose b + 2*b = o. What is the remainder when 89 is divided by b?
13
Let t = 215 - 208. Calculate the remainder when t is divided by 4.
3
Let u = 4416 - 4389. Let x(b) be the second derivative of b**4/12 + 3*b**2/2 - 2*b. What is the remainder when x(-7) is divided by u?
25
Let m(j) = j**2 - 5*j + 2. Let b be m(6). Suppose 6*o + 218 = b*o. Calculate the remainder when o is divided by 85/3 + 2/(-6).
25
Suppose 5*z - 113 = 47. What is the remainder when (1 - 742/(-6)) + (-69)/(-207) is divided by z?
29
Let x be 14/(-105) - (-131408)/60. Calculate the remainder when 97 is divided by 2/(-11) + x/66.
31
Let q = -11 + 15. Suppose -2*l + q = -0. Suppose 0 = -4*z - l*k + 292, k - 70 - 4 = -z. What is the remainder when z is divided by 15?
12
What is the remainder when ((-7837)/(-153) - 2/9) + 3 is divided by 29?
25
Suppose 0 = -19*y + 15*y + 404. What is the remainder when ((1 - -1)*y)/2 is divided by 26?
23
Let q be (3 - (7 - 3)) + 1. Suppose q = d + d + s - 63, -156 = -5*d - 2*s. What is the remainder when 57 is divided by d?
27
Let c(u) = -551*u - 310. Calculate the remainder when c(-3) is divided by 21.
20
Let j(s) = s**2 + 8*s + 8. Let v be j(-9). Let l = -11 + v. What is the remainder when 19 is divided by (6 - 2)/(l/15)?
9
Let v = 2269 - 2190. Calculate the remainder when 216 is divided by v.
58
Let q(n) = 25*n**2 + n - 4. Suppose 5*o = 2*i + 24, -5*o + 28 = i + 10. What is the remainder when q(i) is divided by 14?
10
Suppose -5*x + 0*v = -5*v - 25, 0 = -x - 4*v + 5. Let p(w) = -2*w**2 - 15*w + 15. Calculate the remainder when p(-6) is divided by x.
3
Let y = -35 + 34. Let z be (-2 - y)/1*-31. Let n = -18 + z. Calculate the remainder when n is divided by 7.
6
Let i(f) = 2*f**2 - 1 - f**3 - 6*f**2 - 5 - 2*f. Let d be i(-4). Suppose p + 8 = d*p. Calculate the remainder when 22 is divided by p.
6
Suppose -12*r - 11 + 155 = 0. Calculate the remainder when 322 is divided by r.
10
Let x(d) = 81*d**3 + d. Suppose -2*h = z - 11, -5*z - 5*h + 0 + 30 = 0. Suppose 4*m - 419 = -307. What is the remainder when x(z) is divided by m?
26
Suppose -4*v = 3*k - 631, -867 = -5*v - 2*k - 73. Calculate the remainder when v is divided by 81.
79
Let i = 310 + -229. What is the remainder when 256 is divided by i?
13
Suppose -7*w + 142 = -33. Suppose 4*h + 4*x - 188 = -h, -2*h = -5*x - 95. Suppose 4 - h = -4*y. Calculate the remainder when w is divided by y.
7
Let j(m) = -14*m + 4. Suppose 2*x = -3*f - 14, -3*x + 8 - 19 = 2*f. Calculate the remainder when 51 is divided by j(x).
15
Let s(r) = 15*r + 166. What is the remainder when s(15) is divided by 8?
7
Suppose 139*l + 25 = 144*l. Let d(z) be the third derivative of z**5/30 - z**4/24 - z**3 + z**2. What is the remainder when d(l) is divided by 8?
7
Let i = 316 - 302. What is the remainder when 307 is divided by i?
13
Let c(y) = -y**3 + y**2 + 6*y + 10. Let k be c(-4). Suppose -70*v + k*v = -88. What is the remainder when v is divided by 13?
9
Let t(q) = 4*q**2 - 7*q + 1. Let a(o) = 21*o - 109. Calculate the remainder when t(5) is divided by a(6).
15
What is the remainder when 40 is divided by (4 - 5) + (0 - 92/(-4))?
18
Let w(z) = z**3 + 8*z**2 + 8*z + 2. Let t be w(-7). Let o = 10 + t. Suppose 0 = o*b - 7 - 53. Calculate the remainder when 21 is divided by b.
9
Suppose 0 = -j - 85 - 162. Let i be j/(-65) - (-1)/5. Suppose -4*y + 28 = i*q, -y + q = 4*y - 47. Calculate the remainder when y is divided by 5.
4
Let i(h) = h**3 + 7*h**2 + 4*h - 6. Calculate the remainder when (-231)/7*(-1)/3 is divided by i(-6).
5
Suppose 16*k - 127 = 305. Calculate the remainder when k is divided by 2.
1
Suppose -108 - 80 = -4*u. Suppose 32 = 3*n + 4*z, 18*z - 19*z = -n + 20. Calculate the remainder when u is divided by n.
15
Let z = 138 + -74. Let r = z + -39. What is the remainder when r is divided by 3?
1
Suppose -4*g + 1 = 4*k + k, -2 = 2*k + 4*g. Suppose 5 + k = 3*u. What is the remainder when 11 is divided by u?
1
Calculate the remainder when 538 is divided by (40*6/28)/((-4)/(-28)).
58
Let y(r) = r**2 + 8. Let t be y(7). Let v = -51 + t. Suppose -3*o = c + 3 - 17, 4*c - 48 = -4*o. Calculate the remainder when c is divided by v.
5
What is the remainder when (428/(-6))/((-20)/210) is divided by 18?
11
Let c(w) = -2*w**2 - 31*w + 265. Calculate the remainder when c(-19) is divided by 34.
30
Let h = -6 - -25. Let i(s) = 13*s**2 - 9*s + 17. What is the remainder when i(2) is divided by h?
13
Let t(i) = -2*i**3 - 43*i**2 + 26*i + 91. What is the remainder when 74 is divided by t(-22)?
2
Suppose 4*x - 21 = -13. Let r(z) = -z - 4. Calculate the remainder when -3 - -3 - (-4)/x is divided by r(-6).
0
Suppose -u - y + 0*y = 2, 0 = 4*u + 2*y + 4. Let k(d) = d + 52. Calculate the remainder when k(u) is divided by 19.
14
Suppose 2*b = 7*b - 15. Let h(k) be the second derivative of k**4/6 + 5*k**3/6 - 3*k**2/2 + 64*k. Calculate the remainder when h(b) is divided by 8.
6
Suppose -13 = 4*j - 69. Let a = 11 - j. What is the remainder when 23 is divided by 7 + (a - -5)/2?
7
Let r(d) = 3*d + 38. Let h be r(-11). Suppose 199 = h*m + 24. Calculate the remainder when m is divided by 18.
17
Calculate the remainder when 143 is divided by 23 - (0 - (-4 - 1)).
17
Suppose -m + 4*m + 2*j + 123 = 0, 82 = -2*m - 4*j. Let f = -3 - m. What is the remainder when f is divided by 13?
12
Let l(c) = -95*c - 190. Calculate the remainder when l(-4) is divided by 25.
15
Let w(j) = j + 6. Let d = 61 + -31. Suppose -4*b + d = b. What is the remainder when w(8) is divided by b?
2
Let s be ((-80)/28)/((-6)/21). Suppose 0 = d + d - 2*f - s, 2*d = -5*f - 11. Suppose 0 = -d*h + h + 4. Calculate the remainder when 7 is divided by h.
3
Suppose 3*g - 4 = t - 43, 2*g = 5*t - 260. Calculate the remainder when t is divided by -109 + 119 - 5/(-1).
9
Suppose 2*h - 4*t - 10 = 0, 2*t - 4*t - 23 = 5*h. Let j(l) = 2*l + 2. Let w be j(h). Calculate the remainder when 41 is divided by (25 + w)/((-9)/(-6)).
13
What is the remainder when (-4 - -364)/3 - -4 is divided by 51?
22
Calculate the remainder when (1 - 545)*(5 - 11/2) is divided by 55.
52
Suppose v + 3*o - 5*o = 8, v = -2*o + 28. Calculate the remainder when 55 is divided by v.
1
Let s(k) = 5*k + 455. Calculate the remainder when s(-56) is divided by 6.
1
Let a(o) = 13*o - 22. Suppose 3*f - 21 = 3*b, -b + 5 = -2*f + 4*f. Calculate the remainder when 177 is divided by a(f).
27
Let x = -84 + 142. Suppose -5*p = -2*k - 352, p - 2*k - x - 14 = 0. What is the remainder when p is divided by 19?
13
Suppose -5*i - 2*a = 89, 0 = i - 3*i + 5*a - 24. Let w(j) = -3*j - 13. What is the remainder when w(i) is divided by 10?
8
Let j(p) = -p**2 - 10*p - 4. Suppose 4*v = -4*d - 40, -5*v + 2*d - 4*d = 44. What is the remainder when 58 is divided by j(v)?
10
Let m = 35 - -6. Let y(a) = a**3 + 11*a**2 + 4. Let q be y(-11). Suppose 3*u - b - 29 = 0, -5*u + 39 = -q*b - 0*b. What is the remainder when m is divided by u?
8
Let v be (2*3)/(12/8). Let s = 13 + v. Suppose -3*n - n + 40 = 0. Calculate the remainder when s is divided by n.
7
Let q = 13 + -9. Suppose -4*y + y - 5*f = 122, -2*y - 93 = f. Let h = y + 59. What is the remainder when h is divided by q?
2
Let q(o) = o**3 + 14*