 + (-5 - 0 - -4). Suppose -g*a + 144 = 4*z, -z + 80 = 2*a - 3*z. What is the remainder when a is divided by 14?
10
Let w = 29 - 23. Suppose 0 = -w*l + l + 235. Calculate the remainder when l is divided by 18/5*(-215)/(-129).
5
Let b(s) = -s**2 - 16*s + 6. Let g be 2 - ((-80)/(-7) - 6/14). Calculate the remainder when b(g) is divided by 5.
4
Let p(w) be the second derivative of -1/3*w**3 - 33/2*w**2 + 18*w + 0. Calculate the remainder when p(-21) is divided by 6.
3
Suppose 0 = -4*l + 9*l - 5*a - 775, 5*l - 3*a = 773. Calculate the remainder when l is divided by 13.
11
Suppose -20646 = -617*t - 49*t. Suppose -n - 5*l = 5, -11 + 2 = -n + 2*l. Calculate the remainder when t is divided by n.
1
Let q(g) = g**3 + 24*g**2 - 28*g - 50. Suppose -277 = 4*u - 177. Calculate the remainder when 123 is divided by q(u).
23
Suppose 5*f = i - 0 + 45, 41 = 2*f - 5*i. Suppose -2*g - 4 = -z - 3*g, 4*g = -f. Let o(n) = -8*n - 3. What is the remainder when o(-5) is divided by z?
1
Let u(a) = 2*a**2 - 43*a - 3952. What is the remainder when 1380 is divided by u(58)?
252
Let o(h) = -16*h + 3. Suppose -2*j - 5*z + 11 = -14, -z = -j + 23. Calculate the remainder when o(-3) is divided by j.
11
Suppose 0 = 4*f - 4*x - 40348, 177*x - 174*x + 15 = 0. Calculate the remainder when f is divided by 2519.
6
Let z(t) = -t. Let b be z(-6). Calculate the remainder when ((-4)/b)/(6/(-810)) is divided by 122/4 + -4 + 9/2.
28
Let r = 20383 - 20367. Let i = 73 + -27. What is the remainder when i is divided by r?
14
Let u(b) = 1 + 41 - 4*b - 4*b + 6*b. Let k = 229 - 87. Calculate the remainder when k is divided by u(13).
14
Let a = 18 - -1. Suppose k + 4*d - 5*d = 4, -a = 4*k + 3*d. What is the remainder when (k/2)/(2 - 602/300) is divided by 19?
18
Let l(s) = -s**3 + 20*s**2 + s - 17. Let u be l(20). Calculate the remainder when 87 is divided by 14 - (-3*(-5)/u)/1.
6
Suppose 19*w + 45*w - 2618 = -13*w. Calculate the remainder when 695 is divided by w.
15
Suppose 30*y - 1692 + 736 = 2194. What is the remainder when y is divided by 103?
2
Let b(j) = 2*j**3 - 74*j**2 + 28*j + 252. Calculate the remainder when b(37) is divided by 17.
13
Let p(q) = 35*q - 24. Let r be p(5). Let c = 159 - r. What is the remainder when 62 is divided by c?
6
Let d = 42 - 21. Suppose 15*p + d*p - 2448 = 0. What is the remainder when p is divided by 37?
31
Let l(r) = -r + 8. Let g be l(5). Suppose -105 = -2*n + 5*p - 28, 0 = 2*n - p - 57. What is the remainder when n is divided by (-126)/(-15) - g/(-5)?
8
Let u = 64 + -37. Suppose 0 = -5*i + z - 0 - 30, -4*z = i + u. Calculate the remainder when (-26)/91 - (499/i + 0) is divided by 25.
21
Suppose 4*x + 845 - 774 = b, 0 = -3*b - x + 200. Calculate the remainder when 372 is divided by b.
37
Calculate the remainder when ((-1)/(5 - 4)*-30 - -6)*199 is divided by 3581.
2
Let o = 16386 + -16312. What is the remainder when 276 is divided by o?
54
Suppose -233 = -3*u + u - 3*f, -614 = -5*u + 3*f. What is the remainder when u is divided by 33?
22
Let a = 8 - -1. Calculate the remainder when ((-43)/(-1))/(3*(-1)/(-3)) is divided by a.
7
What is the remainder when (-8)/(288/(-23286)) - 50/60 is divided by 185?
91
Suppose 0 = -5*l + 5*m + 430, 172 = -4*l + 6*l - 11*m. Suppose -2*z + z = -27. Calculate the remainder when l is divided by z.
5
Let b = -92 - -169. Calculate the remainder when 149 is divided by b.
72
Suppose 0 = -5*f + 5, 3*r + 0*r - 5*f = 157. Suppose 17*w + 8*w = 500. Calculate the remainder when r is divided by w.
14
Let b(l) = l - 8. Let v = 40 - 38. Let o be 4 - v/(4/(-22)). Calculate the remainder when b(o) is divided by 4.
3
Let r = -41 - -50. Calculate the remainder when (-74)/((-2 + -5 + 5)/2) is divided by r.
2
Let s = -4818 + 6867. What is the remainder when s is divided by 28?
5
Suppose 945*h - 870*h - 7671 = 9954. What is the remainder when 38539 is divided by h?
234
Calculate the remainder when (10514/(-4))/((-1715)/980) is divided by 24.
14
Calculate the remainder when (7 - 5054/21)/(35/(-15) - -2) is divided by 37.
35
Let m(k) be the third derivative of 7/12*k**4 - 22*k**2 + 0*k + 0 + 10/3*k**3 - 1/60*k**5. Calculate the remainder when 18 is divided by m(15).
3
Suppose -10*f + 11 = u - 12*f, -f = 5*u - 11. Suppose 3*y - 52 - 32 = -u*w, y - 28 = 3*w. Calculate the remainder when 105 is divided by y.
21
Let a(v) be the third derivative of v**6/60 - v**5/4 - v**4/3 + 11*v**3/3 - 22*v**2 + 1. Calculate the remainder when 38 is divided by a(8).
16
Let o = 86 - 83. Suppose -4*d + 9 = z, 7*z - 24 = o*z - 4*d. Suppose 216 = z*j + 4*j. Calculate the remainder when j is divided by 8.
0
Suppose 0 = 4*k + 2*a - 3*a - 1173, -4*k = -4*a - 1188. What is the remainder when 597 is divided by k?
13
Suppose 3*m - 2*u - 18 = -3, 5*m + u - 12 = 0. Suppose -m*t = 17*t - 240. Suppose 0*r = 4*r - 516. What is the remainder when r is divided by t?
9
Suppose 5*q + 17 = 2*w, 0 = 5*q - 26 + 1. Let d = w - 8. Calculate the remainder when 17 is divided by d.
4
Suppose s - 3*k = -7*k - 17, 5*s + 4*k + 21 = 0. Let c be 24/4 + (s - -3). Suppose -c*n + n + 84 = 0. Calculate the remainder when n is divided by 3.
0
Suppose 4*o = 3*j - 7*j + 16, 0 = 3*j + 3. Let q(b) = 55*b + 22. Calculate the remainder when q(o) is divided by 30.
27
Let k(l) = -l**3 - 5*l**2 - 4*l - 7. Suppose 0 = m - 6, 89*h - 87*h - m = 274. What is the remainder when h is divided by k(-5)?
10
Let o be (-10)/(-14) + (-9760)/140. Let r = 271 + o. Calculate the remainder when r is divided by 13.
7
Let l(d) = -d**2 + 7*d - 5. Let r be l(5). Suppose -465 = -5*i - r*y, -2*i = -5*y - 236 + 71. Let f = -2 - -48. Calculate the remainder when i is divided by f.
44
Let f be (1 - 2/(-6))/((-6)/(-18)). Suppose -3*h = 4*d - 349, 23*d = -f*h + 20*d + 470. Calculate the remainder when h is divided by 3.
2
Let j be (-32 - -1)/((-4)/72*-2). Let d = 300 + j. Calculate the remainder when 72 is divided by d.
9
What is the remainder when ((-390)/234)/(10/(-27432)) is divided by 1142?
4
Suppose 7*d + 67 = 60. Let h = -31 - -52. What is the remainder when d + 88 + (2 - 6) is divided by h?
20
Let r(v) = 7*v + 22. Suppose 3*u + 0 = -6. What is the remainder when 45 is divided by r(u)?
5
Let u = -1307 + 1388. What is the remainder when 4046 is divided by u?
77
Let p be -13*69*(-3)/9. Let c = p + -181. Let b(d) = 3*d**2 - 6*d. Calculate the remainder when c is divided by b(4).
22
Suppose 4*y = y + 3*v, -2*y + v = -2. Let l be (4/10)/((-5)/(-727 + y)). Let f = l + -28. Calculate the remainder when 56 is divided by f.
26
Let n(c) = c**3 + 3*c**2 + 5*c + 6. Let i be n(-5). Let r = -91 - i. What is the remainder when 4/16 - r*15/24 is divided by 4?
2
Suppose 2*h = 2*p - 0*p - 50, 0 = -4*p + h + 112. Suppose 0 = 24*i + 188 + 7204. Let q = -291 - i. Calculate the remainder when p is divided by q.
12
Suppose 5*l - 74*s - 1791 = -71*s, -5*s = l - 403. What is the remainder when l is divided by 8?
3
Suppose -4*p = 0, 0*y - 2*y - 2*p = 160. Suppose -6*l - 657 = 201. Let v = y - l. Calculate the remainder when v is divided by 16.
15
Let j be 6 + 4/6*3. Let m(d) = 7*d**2 - 804*d - 95. What is the remainder when 788/j - (-3)/(-6) is divided by m(115)?
18
Suppose 2*y + 515 = 5*y + 2*c, -4*y + 2*c + 682 = 0. Calculate the remainder when y is divided by 38 - ((-4)/8)/((-7)/(-70)).
42
Suppose -2*q + 3 + 1 = 0. Suppose -4*j + 3*b = -7*j, -5*b - 12 = q*j. What is the remainder when (-6 + 1)/(0 + -1) is divided by j?
1
Let r = 40 + 84. Calculate the remainder when r is divided by (45/(-10) - 2)*-10.
59
Let d(j) = -88 + 4*j**2 - 3*j - j**3 + 5*j**2 - 3*j**2 + 78. Let b(y) = y**3 + 2*y**2 - y + 1. Let a be b(-2). What is the remainder when d(a) is divided by 4?
0
Let g = -28 - -47. Let b be ((-1281)/35)/(1*(-1)/10). Let r = 440 - b. What is the remainder when r is divided by g?
17
Suppose -43 = 2*k - 51. Suppose 100 = 4*v + 5*u, 0 = 2*v - k*v - u + 56. Calculate the remainder when 297 is divided by v.
27
Let n(v) be the second derivative of -v**3 - 8*v**2 + 2*v + 26. Calculate the remainder when 84 is divided by n(-10).
40
Let o(q) = -3*q - 3. Calculate the remainder when 49*(-2 - (-120)/56) + 115 is divided by o(-7).
14
Suppose 678*q = 683*q - 705. Calculate the remainder when q is divided by 69.
3
Let f = 1151 + -1005. Suppose 0 = 8*b - 12*b + 2*m + 136,