is the remainder when 86 is divided by q?
11
Suppose -179*v = -7073 - 1698. What is the remainder when 240 is divided by v?
44
Suppose 0 = 4*d - 5*q - 14, 3*d + q + 1 = 2. Suppose 4*s = 567 + 81. Let b = s - d. What is the remainder when b is divided by 41?
38
Calculate the remainder when (10 - 3841)*(-6)/18 is divided by 40.
37
Let s(o) = o**3 - 9*o**2 + 9*o + 6. Let d = -88934 - -89211. What is the remainder when d is divided by s(8)?
11
Let i(q) = -q**2 + 33*q - 172. Calculate the remainder when 374 is divided by i(14).
92
Let t = 220 + -216. Suppose d = -t*u + 274, d + 3*d - 5*u - 1075 = 0. Calculate the remainder when d is divided by 16.
14
Let g(u) = -6*u + 23. Let z(k) = -17*k - 16. Let r be z(-1). Calculate the remainder when 167 is divided by g(r).
14
Let c(f) = -17*f - 11. Let a be c(-1). Suppose 0 = -a*o - 5*o + 2849. Let r = -12 + 41. What is the remainder when o is divided by r?
27
Let i(v) = -147*v - 172. What is the remainder when i(-20) is divided by 71?
70
Suppose -4*i = -2*a + 10, 0 + 20 = -5*i. What is the remainder when 93 is divided by (3 - (a + 2)) + (-105)/(-7)?
17
Let l(x) = 2*x**2 + 5*x - 13. Let n be l(2). Calculate the remainder when 321 is divided by (36/n)/(4/30).
51
Let k = 611 - 431. Suppose 3*c - 835 = -4*w, -c + k = 3*w - 445. What is the remainder when w is divided by 21?
19
Let z(b) = b**2 + 44*b - 659. What is the remainder when z(-58) is divided by 13?
10
Let w(j) = -2*j**2 + 14*j - 3. Let z be w(8). Suppose 0 = -5*t + 3*f + 86 + 69, -5*t + 155 = 4*f. Let i = z + t. What is the remainder when 45 is divided by i?
9
Let m = 131236 + -131229. Let v = 8 - 4. Suppose v*q = q + 12. Calculate the remainder when m is divided by q.
3
Suppose -77*t + 5692 + 425 = -736. Calculate the remainder when 976 is divided by t.
86
Let o(y) = -2*y**3 - 4*y**2 - y + 20. Let c be o(-6). Let a = c - 257. Calculate the remainder when a is divided by 21.
15
Let l be 12/(3*-1 - 258/(-90)). Let r = 92 + l. Suppose 5*c + r*a - 755 = 175, -5*a = -25. What is the remainder when c is divided by 37?
36
Suppose 7*v - 2*v = 0. Suppose v*q - 4*q + 96 = 0. Calculate the remainder when q is divided by 3/(-18) - 55/(-6).
6
Suppose -15 = 9*r - 14*r. Suppose 344 - 86 = r*n. Calculate the remainder when n is divided by 18.
14
Let r = 4552 - 4134. What is the remainder when r is divided by 76?
38
Let f(o) = 525*o - 9252. Calculate the remainder when f(18) is divided by (-42)/(-4) - 5/10.
8
Let h be 6/9 - 1795/15. Let j = 125 + h. Calculate the remainder when j is divided by 4.
2
Suppose 4*x = -5*z + 35 + 5, -5*z + 30 = 2*x. Suppose -3*i - 160 = -3*k + 41, -2*k - z*i = -110. Calculate the remainder when k is divided by 18.
9
Suppose 242 = j + 22*w - 27*w, 0 = 5*w + 5. Calculate the remainder when j is divided by (-105)/30*20/(-7).
7
Calculate the remainder when 8010 is divided by -91*11*(-6)/60 + (-2)/20.
10
Let w = 12 + -4. Let x = -41 - -45. Suppose -2*j - 5*y = -21 + 3, -2*y = x*j - 52. What is the remainder when j is divided by w?
6
Let n(y) = 2*y**3 + 2*y**2 - 2*y - 1. Let v be n(-3). Let c = -19 - v. Calculate the remainder when c - 2 - 9/3 is divided by 2.
1
Suppose p - 2*m - 52 = 80, -1 = -m. Calculate the remainder when 8037 is divided by p.
131
Let w = -85083 - -85239. Suppose -433 = -5*p - 168. Calculate the remainder when w is divided by p.
50
Suppose 40*g + 2935 = 45*g. Let z = g - 583. What is the remainder when 42 is divided by z?
2
Let i = 23 + -6. Let s(v) = -v**2 + 13*v + 17. Let q be s(14). Suppose 5*m - 1 + 11 = 0, -3*m = q*k - 21. Calculate the remainder when i is divided by k.
8
Suppose -2*i = -c + 97, -4*i + 220 = 4*c - 156. Calculate the remainder when c is divided by 26.
17
Let k(b) = -b**3 - 4*b**2 - 6*b - 2. Let h = 65 + -140. Calculate the remainder when (-1)/(h/2935) - 4/30 is divided by k(-4).
17
Let a(d) = -5*d**3 + 12*d**2 + 13*d + 42. Calculate the remainder when a(-6) is divided by 78.
72
Let i(g) = g**3 - 24*g**2 + 46*g + 91. Let q be i(22). What is the remainder when ((-3)/15)/((-1)/q) is divided by 27?
0
Suppose t - 8*u + 362 = -4*u, 0 = -2*t + u - 696. Let n = t - -577. Suppose 3*v - 92 - 25 = 0. What is the remainder when n is divided by v?
36
Let z = -1687 + 2095. What is the remainder when z is divided by 63?
30
Suppose -19*j - 92520 = -91*j. What is the remainder when j is divided by 1283?
2
Suppose 58*x - 68*x - 10 = 0. Calculate the remainder when (x + 1/(-6))/(32/(-5568)) is divided by 35.
28
Let u(y) = -2*y**2 + 91*y - 130. Let d = 8 + -6. Suppose -50 = -d*v - 6. Calculate the remainder when u(43) is divided by v.
19
Suppose -6*k + 2*p = -3*k - 4, -5*k - 2 = p. Suppose 9*u + 3*u - 1164 = k. What is the remainder when u is divided by 28?
13
Suppose -13994*p = -13966*p - 9688. Calculate the remainder when p is divided by 150.
46
Let j = 402 - 398. Let p = -37 + 45. Calculate the remainder when p is divided by j.
0
Let o = -35917 + 35995. Calculate the remainder when 427 is divided by o.
37
Suppose -6 + 123 = 13*a. Suppose -a*t = -7*t - 94. What is the remainder when t is divided by 16?
15
Suppose 0 = -14*d + 39*d + 175. Let s(z) = z**2 - 22*z - 168. What is the remainder when 57 is divided by s(d)?
22
Suppose 2*n - 31 = n. Let c = 2260 - 2243. What is the remainder when n is divided by c?
14
What is the remainder when 1961 is divided by (146 + -9*(-90)/81)/(6/75)?
11
Let t(s) = s**3 - 18*s**2 - 35*s + 846. Calculate the remainder when 548 is divided by t(18).
116
Suppose -8*t = -483 + 195. What is the remainder when ((-36)/15)/(10/(-225)) is divided by t?
18
Let a(l) = l**2 + 46*l - 22. Calculate the remainder when a(-47) is divided by (-3 + 22/6)/((-10)/(-135)).
7
Suppose -31*o - 126 = -17*o. What is the remainder when 40 is divided by (51/(-9) - -3)*o - 1?
17
Suppose -75*m + 729 = -237*m + 4617. Calculate the remainder when 115 is divided by m.
19
Let d be (0 - -35) + (-6 - (5 - 8)). Let c = -16 + d. What is the remainder when 19 is divided by c?
3
Let o be -18*(4 - 5) + -2. Suppose -14*m + 18*m - o = 0. Let q(k) = 2*k**2 - 5*k + 15. What is the remainder when q(2) is divided by m?
1
Let j(k) be the first derivative of 10*k - 1/2*k**2 - k**3 + 29 + 1/4*k**4. Calculate the remainder when 23 is divided by j(3).
2
Let n(s) = -2*s**3 - 17*s**2 + 7*s + 11. Suppose 2*v - 18 = -36. What is the remainder when n(v) is divided by -1 + (3 - 1) + 18?
10
Let k(l) = 258*l + 378. Let j be k(11). Suppose 0 = 20*h + 456 - j. What is the remainder when h is divided by 79?
59
Let v = -33596 + 33637. What is the remainder when 1182 is divided by v?
34
Let v(t) = -t**3 - 4*t**2 + 11*t - 2. Let g be v(-6). Suppose 0*m - g*m = -316. Calculate the remainder when m is divided by 42.
37
Let t = 4140 + -3667. Calculate the remainder when t is divided by 158.
157
Suppose 13*m + 9*m = 631 + 7. What is the remainder when 8815 is divided by m?
28
Let p(l) = -6*l + 10*l + 2*l - l**2. Let x be p(6). Suppose 0*a + 2*a + o - 159 = 0, 3*a + 3*o - 234 = x. What is the remainder when a is divided by 42?
39
Let m be (3 - 36)*(-3)/(-9). Suppose 3*g - 35 = 7. What is the remainder when m/(-6)*-3*-10 is divided by g?
13
Suppose -4*m = 2*s + 22, 2*s + 5*m + 26 = -0*s. What is the remainder when (10 + s)/(5 - 4)*29 is divided by 17?
16
Let v = 4781 + -4622. What is the remainder when 1116 is divided by v?
3
Suppose -f + 2*y + 85 = 0, 4*f = 3*y - 57 + 387. Let g = 11 + -5. Calculate the remainder when f is divided by g.
3
Let y = -23712 + 23747. Calculate the remainder when 3567 is divided by y.
32
Let p be ((-6)/(-9))/(4/(-6)). Let d be (28 + 9)/(2 + p). Calculate the remainder when 75 is divided by (d - 3) + -3 + (-8)/2.
21
Suppose -11*y + 13*y + 16*y = 738. Calculate the remainder when 287 is divided by y.
0
Let v = -1083 + 732. What is the remainder when 89 is divided by (-26)/(-10) + -2 - v/15?
17
Let v(a) = 120*a - 440. Let d(o) = 59*o - 221. Let n(i) = 5*d(i) - 2*v(i). Calculate the remainder when n(5) is divided by 20.
10
Suppose 2*o + 1269 = 5*o - 4*h, 0 = o + 3*h - 410. What is the remainder when o is divided by 35?
34
Let r = 219 + -149. Let z(m) = -m**2 + 337*m + 6525. Calculate the remainder when z(-18) is divided by r.
65
Suppose 4*a - 191 = 167*g - 164*g, -48 = -a + g. Calculate the remainder when 652 is divided by a.
41
Let y = 