12, -h + z*w - 5*w = -61. Calculate the remainder when h is divided by l.
12
Suppose -4*d = i - 43, -4*d + 4*i + 44 = -4. Suppose 69 + 1394 = d*y. Let v = -98 + y. What is the remainder when 101 is divided by v?
31
Suppose -c + 24*c = 1495. What is the remainder when 267 is divided by c?
7
Calculate the remainder when 4/(-5 + -3) - 2757/(-6) is divided by 42.
39
Suppose 7846 + 7484 = 4*w + 11*w. What is the remainder when w is divided by 16?
14
Let c(u) be the second derivative of 3*u**5/20 + 3*u**4 + 14*u**3/3 + 7*u**2 + 174*u - 2. What is the remainder when c(-11) is divided by 21?
6
Let p = 23 - 24. Let d be (91/(-26))/(p + 17/18). What is the remainder when (105/d)/(1/12) is divided by 7?
6
Suppose -p = 2 + 3. Let k(l) = 0 + 1 + 3*l + 3 - l**3 + 6 - 4*l**2 - 6. What is the remainder when 69 is divided by k(p)?
13
Suppose 7*w - 5*w - 26 = 0. Let v = 53 - 48. Let t = v + w. Calculate the remainder when 71 is divided by t.
17
Suppose -6*m - 481 = 635. Let d = -75 - m. Suppose -d + 67 = -2*n. What is the remainder when n is divided by 13?
9
Suppose -2*m + j = -216, -5*m + 540 = 1095*j - 1098*j. Let a = 234 - -629. What is the remainder when a is divided by m?
107
Let y be 28/(-8)*(-18)/9. Suppose y*n + 287 = 14*n. Suppose -9*p = 3 - 102. What is the remainder when n is divided by p?
8
Let j(l) = 1003*l**3 - l**2 - 16*l + 16. What is the remainder when j(1) is divided by 110?
12
Suppose -50*r + 359285 + 117409 = 92*r. What is the remainder when r is divided by 836?
13
Suppose 1503 = 23*c - 1782 + 157. Calculate the remainder when 691 is divided by c.
11
Suppose 0 = -v + 5*v - 604. Let c(r) = 51*r + 240 - 4*r + 22*r + 46*r - 38*r. What is the remainder when v is divided by c(-3)?
7
Suppose 13*x + 638 = 23*x - 242. What is the remainder when 6328 is divided by x?
80
Suppose 5*q + n - 79870 = -2*n, 79870 = 5*q - 2*n. Calculate the remainder when q is divided by 15.
14
Suppose 3*l + 4 = 5*f, 0*l = -2*l + 4. Suppose 0 = -f*s + 5*t + 105, 8*t - 7*t - 177 = -4*s. What is the remainder when 133 is divided by s?
43
Let p(r) = -r + 7. Let f = 21 - 18. Let y be p(f). Suppose -5*j = y*s - 52, -2 = -s + 2*s. What is the remainder when 70 is divided by j?
10
Suppose -19*b - 18698 + 22947 = -81650. Calculate the remainder when b is divided by 17.
16
Calculate the remainder when -8*609/28*138/(-18) is divided by 122.
114
Suppose 4*p + 5*b - 2474 + 530 = 0, -b = 3*p - 1469. Calculate the remainder when p is divided by 30.
11
What is the remainder when 1366 is divided by 37/7 + 2016/(-882)?
1
Let h = -1420 + 1428. Suppose -2*l - 4*d + 30 = d, 4 = 2*d. Suppose -l - 4 = -t. What is the remainder when t is divided by h?
6
Let r = 21488 + -21458. What is the remainder when 16978 is divided by r?
28
Let w = 4707 + -4656. What is the remainder when w is divided by 49?
2
Suppose -2*q + 0*q + 36 = 0. Suppose -21*c - 1240 = -23*c. Calculate the remainder when 47 is divided by (-4)/q + c/36.
13
Suppose -4*l - 77 - 451 = -5*r, 531 = 5*r - 3*l. Let u be (5/10)/((-3)/(-180)). Suppose -24*d - r = -u*d. Calculate the remainder when 105 is divided by d.
15
Suppose -8 = -2*d, 20*q - 24*q - 2*d + 16 = 0. Suppose -149 = -q*c + 187. Calculate the remainder when c is divided by 19.
16
Let t be (-37 + -1)*((-2737)/14)/(-17). Let p = 456 + t. What is the remainder when p is divided by 18?
1
Let y = 7890 + -6418. What is the remainder when y is divided by 29?
22
Suppose 101*a = 118*a - 884. What is the remainder when 255 is divided by a?
47
Suppose -171726 = 122*a - 448*a + 188830. What is the remainder when a is divided by 277?
275
Let w = 7 + 3. Let t(f) = -34*f**2 + 384*f - 16. What is the remainder when t(11) is divided by w?
4
Let i be (6 - (-113 + -4)) + 12/(-6). Let u = 20 + 2. What is the remainder when (-22)/i + 2160/u is divided by 34?
30
Suppose t = 4*q + 31 + 56, -6 = 3*q. What is the remainder when 1261 is divided by t?
76
Let t(a) = 6*a - 5. Let m be t(10). Suppose -58*f + m*f = -9. Calculate the remainder when (-3)/(0 + f/(-93)) is divided by 32.
29
Let k(y) = -y**3 + 8*y**2 + 3*y + 1. Suppose 6*n + 4968 = -12*n. Let g = -252 - n. Calculate the remainder when k(7) is divided by g.
23
Suppose -3*t + 5*r = -2*t - 14, -4*r = -2*t + 22. Suppose -11*y + 297 = -2*y. What is the remainder when y is divided by t?
6
Let q = 36 + -56. Let z(x) = x**3 + 21*x**2 + 16*x - 35. Let f be z(q). Suppose 11 + f = 4*i. Calculate the remainder when 51 is divided by i.
9
Suppose 5*h = -c, 0 = 3*c - 7*c + 3*h + 46. What is the remainder when 83 is divided by c?
3
Suppose -627*u = -643*u + 4144. Calculate the remainder when u is divided by 90.
79
Suppose 4*f - 2*x - 5 = 7, 8 = -2*x. Calculate the remainder when (f*-1)/(((-8)/(-1))/(-1424)) is divided by 20.
18
Let k = 57 + -52. Let h(y) = y**2 + 2*y + 6. What is the remainder when (2 - 1272/(-20)) + 2/k is divided by h(-4)?
10
Suppose -5*k - 1 - 9 = -4*a, -a = k + 11. Suppose 0 = 4*s - 4*p + 28, 0 = s - 0*p + 3*p + 15. Calculate the remainder when 11 is divided by (s/(-21))/(k/(-42)).
2
Let o(l) be the third derivative of l**6/120 - 7*l**5/60 - l**4/2 - l**3/6 + 3*l**2. Calculate the remainder when o(9) is divided by (5 - -12) + 1 + -6 + 2.
11
Let l(v) = v**2 - 33*v + 9. Let b be l(16). Let y = b + 268. Calculate the remainder when 2/(1 + (-10)/12) is divided by y.
2
Suppose 195 = 4*x + m, 5*x = 31*m - 34*m + 235. What is the remainder when 140 is divided by x?
40
Let p = 831 + -180. Calculate the remainder when p/12 - (-4)/(-16) is divided by 3/(-6) + (-1053)/(-54).
16
Let t = -6461 - -6473. Let m(f) be the first derivative of -f**3/3 + 8*f - 2. What is the remainder when t is divided by m(0)?
4
Suppose 2*v - 4584 = -762*o + 758*o, 5*v + 5*o - 11440 = 0. Calculate the remainder when v is divided by 13.
9
Let k(b) = b**3 - 2*b**2 - b + 8. Let m be k(-9). Let d = m - -1553. What is the remainder when d is divided by 22?
19
Suppose 2*y + 3229 = 5*j, -18*y + 2576 = 4*j - 22*y. Suppose 5*a - j = -122. Calculate the remainder when a is divided by 12.
9
Let u be 4997/171 - (-2)/(-9). Suppose -25 = -3*l + u. Calculate the remainder when 32 is divided by l.
14
Let w(g) = -g**3 + 7*g**2 - 15. Let p be w(-4). Suppose -2*x - p = -3*o, 7*x = o + 8*x - 62. Let a = 26 - 5. What is the remainder when o is divided by a?
15
Let x(w) = 6*w**2 + 10*w + 6. Let a be x(-7). Let n = 2321 + -2360. Let m = a + n. What is the remainder when m is divided by 48?
47
Let l = 43 + -31. Suppose 2*u + l = 5*u. Suppose 0*i - 4*i - 5*a = -36, 0 = 3*i + u*a - 28. Calculate the remainder when 25 is divided by i.
1
Suppose -l + 323 = -2*y + 324, 41 = l + 5*y. What is the remainder when 1451 is divided by l?
10
Let r be 1 - (8 + (3 - 4)). Let s(g) = -5*g + 13. Let v be s(r). Let y = 119 - v. What is the remainder when y is divided by 11?
10
Suppose 4*f + 122 = 2*f. Suppose 3*s = -0*s + a + 563, 2*s - 375 = a. Let r = s + f. Calculate the remainder when r is divided by 13.
10
Suppose -1616 = -2256*g + 2240*g. What is the remainder when 302 is divided by g?
100
Suppose 0 = 5766*i - 5728*i - 27550. Calculate the remainder when i is divided by 11.
10
What is the remainder when ((-2328)/(-36))/((-68)/(-12) - 5) is divided by 56?
41
Let c = 10841 + -8530. What is the remainder when c is divided by 1149?
13
Let o(x) = 2*x**2 - 5*x - 1. Let k = -33 + 38. Suppose 0 = -2*b + k*b + 4*u - 38, -3*u = -15. Calculate the remainder when o(b) is divided by 7.
6
Suppose -3*z + 6 = -12. Suppose 3 = -p + 22. Suppose -48 = -2*f - 4*q, 3*q + p = 3*f - 2*f. What is the remainder when f is divided by z?
4
Suppose -12*i = -32*i - 34*i + 328104. What is the remainder when i is divided by 19?
15
What is the remainder when 205 is divided by (147*1)/(25/((-1100)/(-66)))?
9
Let f(j) = -28 - 34 + 76*j - 70*j. Let a be f(10). What is the remainder when 87 is divided by 19*a*(-4)/8?
11
Suppose -11*c + 550 + 693 = 0. Calculate the remainder when c is divided by (184/12)/(12/(-18) + 1).
21
Suppose -5*o = -4*z + 67, -55 = -3*z - z + o. Let u(h) = -2*h**2 - 66*h + 9467. What is the remainder when u(-87) is divided by z?
6
Suppose 0 = -9*u + 833 + 1129. What is the remainder when 667 is divided by u?
13
Suppose -4*h + 2*d = -0*h - 216, 0 = -5*h - 4*d + 283. Calculate the remainder when 101 is divided by h.
46
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