ided by m.
12
Let s(f) = f**3 + 6*f**2 + 7*f - 1. Let g be s(-4). Let m be (24/4 - g) + (-57 - 1). Let x = -39 - m. Calculate the remainder when 76 is divided by x.
12
Let d(x) = 3*x - 7. Let o be (3 + -3)/(2/(-1)). Let k be 0 - (1 + (-6 - 2)) - o. Calculate the remainder when 41 is divided by d(k).
13
Let n(b) = b**2 - 42*b - 110. Let s be n(45). Suppose c = -c - 5*h + 45, -c = 2*h - s. Calculate the remainder when 278 is divided by c.
33
What is the remainder when 18347 is divided by ((-143)/52)/((-6)/24)?
10
Suppose -220*t + 6793 = -3767. What is the remainder when 548 is divided by t?
20
Suppose 53927 = 189*s + 5087 - 20712. Let x(l) = l**3 + 7*l**2 + 3*l + 2. What is the remainder when s is divided by x(-5)?
35
Let l(q) = 2*q**2 + 31*q - 5. Let d(p) = -p**2 + 9*p + 5. Let n be d(11). Let m be l(n). Let c = -36 + m. What is the remainder when 17 is divided by c?
7
Let z = -82 + 82. Suppose 2*f - 40 = -3*f - 3*k, -4*f - 3*k + 35 = z. Suppose 0 = -f*n - 2*n + 63. What is the remainder when 52 is divided by n?
7
Let l be -14*(-5 + 22/4). Let w(f) = -4*f + 125. What is the remainder when w(l) is divided by 14?
13
Let i(y) = 16*y - 94. Let u(w) = 14*w**3 - w**2 - 4*w + 3. Let d be u(1). Calculate the remainder when i(d) is divided by 11.
10
Let k = -117 + 120. Let r be k/(-12)*3 - (-15)/4. Suppose r*v + 5*t = 53, 3*t + 17 - 95 = -4*v. Calculate the remainder when 167 is divided by v.
20
Suppose 7*n + 675 = -2*n. Let r = n - -220. Calculate the remainder when r is divided by 37.
34
Calculate the remainder when 829 is divided by 3*275 + 180/(-20) + 6.
7
Suppose 5*m + 2*o + 3*o = 100, -m = -2*o - 20. Suppose 5*p = -3*w + 44 - 2, 5*p + 5*w - 50 = 0. Calculate the remainder when m is divided by p.
2
Suppose -29*n = -12181 + 2321. Suppose -14*i + n = 6*i. What is the remainder when 150 is divided by i?
14
Let b = 2166 + -1144. Let r = 1453 - b. Calculate the remainder when r is divided by 48.
47
Suppose 0 = 4*r - 3*r + 3*y - 17, -5*y = -r + 41. Let o = -12 + r. Calculate the remainder when 53 is divided by o.
11
Suppose -4*g = g + 10, 2*b = 2*g + 222. Let n = 193 - b. Suppose 5*c - 3*c + 4*u = n, -18 = -c + 4*u. Calculate the remainder when 101 is divided by c.
33
Let y = 5745 - 5632. What is the remainder when y is divided by 103?
10
What is the remainder when (-46 + 9)/(10/(-1670)) is divided by 103?
102
Suppose -47*i - 78*i - 960 = -19960. What is the remainder when 277 is divided by i?
125
Suppose 0 = -8*c + 2*c + 474. Let h = c - 223. Let t = 243 + h. What is the remainder when t is divided by 10?
9
Suppose 12 = 3*w, -11*w + 13*w = 2*p - 160. What is the remainder when 924 is divided by p?
0
Calculate the remainder when 698 is divided by (-7968)/(-30) - 9/((-675)/30).
166
Let z = 0 - -50. Calculate the remainder when z is divided by (11952/351 + (-6)/117)*(-2)/(-2).
16
Suppose -2*y + 10*y - 136 = 0. Let c(a) = a**2 - 17*a + 9. Let u be c(y). Suppose -50 = -u*z + 22. Calculate the remainder when 31 is divided by z.
7
Let s be 3/(-4)*56/(-21). Suppose -s*h + 5*u = 3*u - 166, 0 = -h - 5*u + 107. Let f(i) = 12*i - 102. Calculate the remainder when h is divided by f(10).
15
Suppose -1889 = -5*t + 4*r, -r + 5*r + 1512 = 4*t. Let g = 10095 + -10032. Calculate the remainder when t is divided by g.
62
Let f(g) = -10*g**3 - 3*g**2 + 4*g. Let x be f(1). Calculate the remainder when 261 is divided by x/2*-4 + -6.
9
Suppose -25*u + 30*u - 23*u = -234. Let p(c) = c**2 - 5*c + 2. Let i be p(5). Suppose i*q + 19 = 95. What is the remainder when q is divided by u?
12
Suppose -147*c + 3314 = -13528 - 16821. Calculate the remainder when 4578 is divided by c.
227
Let n(v) = -v**3 + 34*v + 253. What is the remainder when n(8) is divided by 4?
1
Suppose 0 = 4*a + x - 70, 51*a + 4*x - 33 = 54*a. Let h(d) = -d - 4. Let v be h(0). Let f = 12 + v. Calculate the remainder when a is divided by f.
5
Let l(j) = -j**3 + 3*j**2 + 71*j + 297. What is the remainder when l(-5) is divided by 10?
2
What is the remainder when 293 is divided by (-14)/(-2) - (-17)/(-153)*-531?
29
Let u(k) = 21*k + 545. Calculate the remainder when u(-23) is divided by 26.
10
Let x(b) = 1106*b - 8785. What is the remainder when x(8) is divided by 1/2*68/1?
29
Let m(o) = 167*o**2 - 1324*o - 8. Calculate the remainder when 468 is divided by m(8).
28
Let i(d) = -d**3 - 2*d**2 + 8*d + 18. Let v be i(-2). Suppose -v*u + 508 = 4*n + 3*u, 0 = 5*n - 2*u - 602. What is the remainder when n is divided by 32?
26
Suppose 0 = 20*q - 109 - 11. Let o(v) = 7*v + 3. Calculate the remainder when 89 is divided by o(q).
44
Let d = -42918 - -43273. What is the remainder when 1412 is divided by d?
347
Let q(w) = -3*w. Let u be q(-2). Suppose 3*c = u*m - 8*m + 201, -5*c - 4*m + 335 = 0. What is the remainder when c is divided by 22?
1
Suppose 0 = -5*q + 3*u + 8, 5*q + 5*u + 6 = 46. Let l = 173 + -168. What is the remainder when l is divided by q?
1
Suppose 0 = p - 947 + 940. Suppose -c + 4*c - 4536 = 0. Calculate the remainder when c/33 - 4/(-22) is divided by p.
4
Let u be (0 + -22)/2 - (-246)/123. What is the remainder when (-4500)/(-55) - u/(99/2) is divided by 28?
26
Suppose -3*b + j + 45 = 0, -50 = -0*b - 4*b - 2*j. Suppose 0 = b*w - 235 - 941. What is the remainder when w is divided by 15?
9
Suppose d - 4*d + 3*k + 105 = 0, 2*k = 5*d - 163. Let v(u) = -28*u + 13*u - 59 + 4*u + u**2. Calculate the remainder when v(20) is divided by d.
28
Suppose 6*f - f = 55. Let b be (-19 + 17)*22/4. Calculate the remainder when f is divided by -2 + 0 - 88/b.
5
Let f(v) = 196*v - 359. What is the remainder when 86 is divided by f(2)?
20
Let g(n) = -n**2 - 8*n + 10. Suppose -87*y + 78*y + 6849 = 0. Suppose 731 - y = -2*j. Calculate the remainder when j is divided by g(-8).
5
Let k be 2/(-13) - ((-3294)/117 - 5). Suppose 0 = 26*f - 25*f - k. What is the remainder when 130 is divided by f?
31
Let u be 14/(-21) + 16/6. Let r(c) = -c + 1. Let z(y) = -18*y - 3. Let f(l) = u*r(l) - z(l). Calculate the remainder when 39 is divided by f(1).
18
Suppose 4*o - 1852 = -4*p, 3*p = 4*p - 4*o - 468. Suppose -24*w + p = -8*w. What is the remainder when w is divided by 3*(-1 + 26/6)?
9
Let q(g) = -3*g - 1. Let k(j) = 5*j + 76. Let i(a) = k(a) + 3*q(a). Let x(s) = 20*s - 7. Calculate the remainder when x(6) is divided by i(11).
26
Let i = 603 + -599. Suppose -4*s - 23 = -a, 2*s - i*s = 4*a - 56. What is the remainder when a is divided by 34/8 + (-2)/8?
3
Suppose -152 = 9*d - 755. Let b = 16 - 43. What is the remainder when d is divided by (0 - 1)*(b + 3)?
19
Let r = 61 + -43. What is the remainder when 3 + 56/(-4) + 222 is divided by r?
13
Suppose c = -787 + 1634. Calculate the remainder when c is divided by 122.
115
Suppose 5*w + 16*w - 6*w = 480. Calculate the remainder when w is divided by 31.
1
Let s be 5238/14 - (-10)/(-70). Let q = 390 - s. Calculate the remainder when 62 is divided by q.
14
Let s be 15/3 + 0/(-7). Let v(l) = 2*l**2 - 5*l + 32. What is the remainder when v(s) is divided by 15?
12
Let r = 618 + -566. Calculate the remainder when 185 is divided by r.
29
Let t = 18118 + -17970. What is the remainder when t is divided by 83?
65
Let c = -38 - -65. Let z(s) = s**3 + 10*s**2 - 1984*s - 19747. What is the remainder when z(-10) is divided by c?
12
Let t = 72 + 4. Suppose -3301 = -t*x + 1867. Suppose -3*z = 3*j - 2*j - 67, z = j + 25. Calculate the remainder when x is divided by z.
22
Let f = -12794 + 12920. Calculate the remainder when f is divided by 76.
50
Let k(g) = 3*g**2 + 16*g + 81. Let h be k(-7). Suppose -x = 3*x - 4*m - h, 4*x - 104 = m. Calculate the remainder when 647 is divided by x.
22
Let j = -185 + 173. Suppose 2*a = -3*a + 45. Calculate the remainder when 17 - -28*3/j is divided by a.
1
Let g = 43 - 28. Suppose 6*a + p - 107 = 4*a, 3*p - 156 = -3*a. Calculate the remainder when a is divided by g.
10
Suppose 5*w - w + 8 = 0. Suppose 11*l + 0*l + 715 = 0. Calculate the remainder when l/w + (-3)/(-6) is divided by 7.
5
Suppose 0 = 4*m - 0 - 8. Suppose m*p + 6*p = 824. Let b(z) = 6*z - 34. Calculate the remainder when p is divided by b(7).
7
Suppose 396 = 11*u + 99. Calculate the remainder when 7936 is divided by u.
25
Let c be (-4 + 444/9)*3. Suppose -7*y + 60 = -c. Calculate the remainder when 79 is divided by y.
23
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