 What is the remainder when 2468 is divided by y?
36
Suppose 4*b = -2*p + 54, -2*p - 4*b = 2*p - 92. Suppose 827 = p*r + 257. What is the remainder when r is divided by 2/(-3) - (-52)/6?
6
Let o(d) = d + 10. Let m be o(-9). Let j = 5 - m. Suppose 2*y - 2*t - 28 = 0, 2*t - 15 = -2*y + 17. What is the remainder when y is divided by j?
3
Suppose 0 = 29*h - 35*h - 66. Let a be (h + 15)/(3 + -1). Suppose a*t - 2 + 0 = 0, -z + 9 = 2*t. Calculate the remainder when 160 is divided by z.
6
Suppose -n = -5*g - 2*n - 19, 3*g + 2*n = -17. Let i = 105 - g. Suppose -5*v - 443 = -493. Calculate the remainder when i is divided by v.
8
Let s be (-8)/(-24)*(-2 - 1). Suppose -5*m + 20 = 3*d - 8, 0 = 2*d - 2. What is the remainder when 18 is divided by m - s/(-1 - (-3 + 3))?
2
Suppose 3*j + 90*i - 64 = 92*i, -68 = -3*j - 2*i. Calculate the remainder when 8424 is divided by j.
20
Suppose -7*l + 1643 = 46*l. What is the remainder when 57 is divided by l?
26
Let o = 12 - 5. Suppose -f - 2397 = -5*r, 55*f + 1437 = 3*r + 54*f. Suppose 0 = -o*w + w + r. Calculate the remainder when w is divided by 21.
17
Suppose 50*d - 12834 = 53*d - 141*d. What is the remainder when d is divided by 65?
28
Let h = 11131 - 10937. What is the remainder when h is divided by 48?
2
Let u = -2473 - -2525. What is the remainder when u is divided by 18?
16
Let h be 91/52 + 11973/(-12). Let w = h + 1005. What is the remainder when 132 is divided by w?
6
Suppose -2*o + 1872 = -2*f + 312, -3*f + 1565 = 2*o. What is the remainder when o is divided by 1?
0
Calculate the remainder when 98/14 + (3*(-6)/9 - -2347) is divided by 8.
0
What is the remainder when 131 is divided by (49/(-2))/((395/(-10))/79)?
33
Let u(d) = 21*d - 2. Suppose 0 = 4*b + 3*k - 72899, -5*k + 9710 = b - 8502. Calculate the remainder when b/77 + 9/7 + -1 is divided by u(2).
37
What is the remainder when 2691 is divided by ((-3080)/100)/((2/(-3))/((-65)/(-39)))?
73
Let l be 42/11 - 8/(-44). Let w = -40 - l. Let p = w - -79. Calculate the remainder when p is divided by 12.
11
Suppose 0 = -5*w + 9*w - 144. What is the remainder when w/162 - -4*2411/18 is divided by 7?
4
Suppose 91193 = 272*u - 56503. What is the remainder when u is divided by 356?
187
Suppose 22*q + 8184 = 53*q + 35*q. Calculate the remainder when q is divided by 63.
61
Suppose 0 = 6*o - 7*o + 52. Let n = -47 + o. What is the remainder when 88 is divided by (-2 + 0 + 7)*(n - 2)?
13
Let x = -4757 + 5096. Calculate the remainder when x is divided by 109.
12
Let a = -22892 + 22950. What is the remainder when a is divided by 64/(-10)*5*-1?
26
Let k = 3314 - 3236. What is the remainder when k is divided by 9?
6
Let j(c) = 3*c**2 + 12*c + 7919. What is the remainder when j(0) is divided by 8?
7
Calculate the remainder when 137 is divided by (-1648)/(-64) + (-12)/(-48).
7
Suppose 1127*k - 561*k - 41970 = 556*k. What is the remainder when k is divided by 15?
12
Let i(l) be the second derivative of 5*l**4/12 + 5*l**3/6 + 2*l**2 + 2*l. Let h = -134492 - -134558. What is the remainder when h is divided by i(-3)?
32
Suppose -79*l + 1575 = -4*l. What is the remainder when 494 is divided by l?
11
Suppose 0 = -4*w + 9*w + 2*c, -w - 8 = 2*c. Suppose w*n = -18 + 44. What is the remainder when 48 is divided by n?
9
Let p = 105 - 54. Let q be 0 - (-8)/(3 - 1). Suppose 3*r - l + 1 = 31, 0 = -q*r + 5*l + 51. Calculate the remainder when p is divided by r.
6
Let x(b) be the first derivative of -15/2*b**2 + 7*b + 1/4*b**4 + 5 - 5/3*b**3. Calculate the remainder when x(9) is divided by 25.
21
Let q = -4580 - -6989. Calculate the remainder when q is divided by 201.
198
Suppose 2*z = 3*z - 3*u - 1107, 20 = 5*u. What is the remainder when 2270 is divided by z?
32
Let k be (6/2 + 3)/(4/4). Let r(b) = b**3 - 6*b**2 - 6*b + 25. Let i be r(7). Let c = k + i. What is the remainder when 147 is divided by c?
33
Let t(w) = 15*w + 92. Let k be t(-6). Suppose -83 = -3*s + 241. What is the remainder when 105 is divided by (k/4)/(3/s)?
15
Let s(j) = -j**3 - 28*j**2 - 30*j - 36. Let b be s(-27). Suppose 0 = b*l - 41*l - 8. What is the remainder when (-1 - 105)/(l/2 + -2) is divided by 29?
19
Let w = -1154 - -1659. Suppose -w + 471 = -c. Calculate the remainder when c is divided by 10.
4
Let z = -138 + 11. Let m = z + 129. What is the remainder when 5 is divided by m?
1
Let h = -242 + 296. Suppose h = -35*n + 754. What is the remainder when 76 is divided by n?
16
Suppose 0 = x - 4*o - 66, -3*x - 2*o - 2*o = -278. Let s = -77 + x. Suppose k - s*k = -184. Calculate the remainder when k is divided by 8.
7
Let l(z) = 240*z - 1166. What is the remainder when 62 is divided by l(5)?
28
Let i = 34117 - 34000. Suppose 0*g - 674 = -2*g. Calculate the remainder when g is divided by i.
103
Let l(q) be the second derivative of q**4/6 + 3*q**3/2 - 3*q**2 - 2*q + 36. Calculate the remainder when 239 is divided by l(-6).
11
Let h be (-34)/(-4)*(7 - 1). Let y = h + -30. Suppose -u + 4*r = u - 170, -5*r = 3*u - 244. What is the remainder when u is divided by y?
20
Let r(i) = 3*i + 0*i - 3*i - i - 16*i - 137. Calculate the remainder when 194 is divided by r(-10).
29
Let q(h) = 4*h + 7 - 8 + 10 + 23. Calculate the remainder when 133 is divided by q(-6).
5
Suppose -3524*n + 3528*n - 132 = 0. What is the remainder when 612 is divided by n?
18
Calculate the remainder when 241 is divided by (7/(-4) + (-10144)/128)*2/(-6).
25
Let z = -37 - -42. Suppose -z*v = 4*c - 46, -5*v + 4*c + 44 = -v. Suppose -3*q - v = -58. Calculate the remainder when q is divided by 5.
1
Suppose 0 = i - 53 - 19. Let k = 77 - i. Suppose 0 = p - 0*p - 2*r - 9, -2*r = 4*p - 56. What is the remainder when p is divided by k?
3
Let c be ((-6)/(-21) - 5/(-7))*0. Let p(n) = n**3 + 8*n + 9. Suppose -j + 2*f + 74 = 0, 3*j - 4*f = -f + 228. What is the remainder when j is divided by p(c)?
6
Let p = 25343 - 25312. What is the remainder when 1080 is divided by p?
26
Suppose 3188 = 81*q - 2887. Calculate the remainder when q is divided by 57.
18
Calculate the remainder when 2749 is divided by (-16038)/(-594) - (16 + 0).
10
Suppose -5*u + 1990 = 221*k - 225*k, 4*k + 796 = 2*u. Calculate the remainder when 2388 is divided by u.
0
Suppose 1 + 3 = 2*r. What is the remainder when 0 + -4 + 115 + r is divided by 29?
26
Suppose -3196 - 320 = -5*a + k, -5*k = -5*a + 3540. What is the remainder when a is divided by 37?
36
Let z = 178 + -134. Suppose -39*c + 55*c - 1792 = 0. Calculate the remainder when c is divided by z.
24
Suppose -4045 = -17*d + 239. Calculate the remainder when d is divided by (-54 + 0)/(-3) + 5.
22
Let n = -4980 - -5044. What is the remainder when 1852 is divided by n?
60
Let o(d) = 135*d - 499. Suppose -3*u + 10 = 2*u. Suppose -z = 2*m - u - 12, 4*z - 5*m = 56. Calculate the remainder when o(4) is divided by z.
13
Suppose -65*d + 66623 = -81407 + 11920. Calculate the remainder when d is divided by 352.
334
Let o(b) = 24*b - 1719. What is the remainder when (-4)/(-8) + (-171)/(-6) is divided by o(72)?
2
Calculate the remainder when (-9)/(8 - 7455/931) is divided by 12.
9
Let i = 47 + 25. Suppose -i = 5*m - 257. Suppose 7*b - 61 - 16 = 0. Calculate the remainder when m is divided by b.
4
Suppose 7*k - 315 = -308. Suppose 0*s + 7*s = 21. Calculate the remainder when s is divided by k.
0
Let q(n) = 9*n**2 - n + 3. What is the remainder when q(-5) is divided by -1 - 31/(-33) - 389/((-1527603)/220150)?
9
Let n(s) be the first derivative of 9*s**3 + 3*s**2 - 40*s - 2. What is the remainder when n(4) is divided by 19?
17
Let u(n) = 4*n**2 - 155*n + 1421. Let k = -50 + 17. Let g = k - -46. Calculate the remainder when u(27) is divided by g.
9
Let j = -44 - -129. Let u be (-5)/(-25) + (-144)/(-5). Suppose 4*o + 19 + 126 = 5*t, -2*o + u = t. Calculate the remainder when j is divided by t.
27
Let r = -129 - -129. Suppose -3*d = -4*t - 156, r*t + 5*t = d - 41. What is the remainder when d is divided by 21?
14
Suppose 2*z - 32*y + 31*y = 3147, z - 3*y - 1561 = 0. Calculate the remainder when z is divided by 6.
4
Let y = -2274 - -2472. What is the remainder when y is divided by 10?
8
Let m be (-10020)/45 - 4/(-6). Let t = m - -299. Calculate the remainder when 298 is divided by t.
67
Suppose -169*w = -211*w + 14028. What is the remainder when w is divided by 47?
5
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