*y - 90 - 78 = 0. Let x = y - -171. Calculate the remainder when x is divided by 51.
48
Suppose -6*j + 44*j - 1127 = 15*j. What is the remainder when j is divided by 29?
20
Let s = 7 - 2. Suppose v - s*v = -216. Suppose 559*r - 554*r + 3*w = 55, 4*r - 66 = 2*w. What is the remainder when v is divided by r?
12
Let w(r) = 2*r**2 - 333*r - 5041. Let j(g) = -g**3 + 7*g**2 + 9*g + 1. What is the remainder when j(7) is divided by w(-14)?
12
What is the remainder when 1334 is divided by 874/(-5)*((-15)/(-18))/((-10)/30)?
23
Suppose -11990 + 78778 = 59*c. Calculate the remainder when c is divided by 563.
6
Let s = 48 + -44. Let x be 33/9 + (-1 - s/(-12)). Suppose -x*t = 5*j - 111, -t - 4*j - 20 = -2*t. What is the remainder when 62 is divided by t?
30
Let g = 5415 + -4860. Calculate the remainder when g is divided by 31.
28
Calculate the remainder when 393 is divided by (-14 - 1474/(-110))*(-830)/6.
61
Suppose -3*v + 4*o + 371 = 0, -v + 4*o + 21 = -108. Let y = v - 53. Let d(f) = -f + 40. What is the remainder when y is divided by d(16)?
20
Let b(f) be the second derivative of 5*f**3/6 + 4*f. Suppose -64*o + 27*o + 518 = 0. What is the remainder when b(11) is divided by o?
13
Suppose -3*z = -5*s - 338, 825*z - 828*z + 335 = -2*s. Calculate the remainder when z is divided by 0 + -2 + 31 + -1.
27
Let y(q) be the third derivative of q**4/24 + q**3/3 - 18*q**2. Let u be y(-5). What is the remainder when 81 is divided by (-124)/(-6) - (4/u - -1)?
18
Calculate the remainder when (-2592)/(-9)*2/4 is divided by 7 + 1/(3/54).
19
Let p = 434 + -411. What is the remainder when 549/((1 - 3) + 3) is divided by p?
20
Let p = -284 + 369. Let l = p + -57. Calculate the remainder when 83 is divided by l.
27
Let a(u) = u**2 + 26*u - 73. Let y be 24*(-6 - (-57)/12). Calculate the remainder when a(y) is divided by 17.
13
Suppose 51*a - 42177 = -36*a + 101286. What is the remainder when a is divided by 67?
41
What is the remainder when (204/(-18)*-46)/((-9)/(270/(-20))) is divided by 194?
6
Let j(f) = f**2 + 7*f + 3. Let y be j(-6). What is the remainder when 5 is divided by (-1)/((-12)/51) + y/12?
1
Suppose -m + 29 = -5*r + 6*r, -21 = -m + 3*r. Suppose -34*t + 435 = m. Calculate the remainder when 72 is divided by t.
0
Let a(p) be the third derivative of 11*p**4/12 - 12*p**3 + 15*p**2. What is the remainder when 188 is divided by a(5)?
36
Suppose z + 4*z + 2*m = 124, 2*z - 46 = -2*m. Suppose z*y - 24*y = 670. What is the remainder when y is divided by 28?
27
Suppose -43*p = 63*p - 24984 - 28864. Calculate the remainder when p is divided by 85.
83
Let j = 13 - -35. Let t = j - 45. Suppose s - 34 = -l, -200 = -5*l + t*s - 46. What is the remainder when l is divided by 7?
4
Suppose 151 + 3420 = i. What is the remainder when i is divided by 3558?
13
Suppose -2*x = -4*x + 26. Suppose 5*q = -3*z - x, -1 = -4*z + 4*q - 7*q. Suppose z*s + 5 = 5*s. Calculate the remainder when s is divided by 4.
1
Let r = 3108 + -3080. What is the remainder when 1117 is divided by r?
25
Let m be (0 + 2 + -1)*2. Suppose -3*s + 208 = -5*f, 5*s = 3*f + m*f + 330. Calculate the remainder when s is divided by (1 - -2)/(6/32).
13
Let w be 12/(-126) + (-10586)/(-21). Let b = w + -204. What is the remainder when b is divided by 17?
11
Let p(f) = -f**2 - 72*f + 27. Calculate the remainder when p(-69) is divided by ((-34)/12)/((-13)/78).
13
Let m be (-9963)/(-205) + 0 + 6/15. Suppose 44 = q + m, 134 = 2*p + 2*q. What is the remainder when 160 is divided by p?
16
Let b = 95 - 95. Suppose -115*c + 114*c + 152 = b. Calculate the remainder when c is divided by 20.
12
Suppose -l = -3*x - 9, 50*l - 49*l = -4*x + 16. Calculate the remainder when 236 is divided by l.
8
Let n = 12 - 12. Let z(m) = -4 - 13*m + 0 + 2*m**2 + n + 3. What is the remainder when 26 is divided by z(7)?
2
Suppose -60*l + 2505 + 5919 = -8*l. Calculate the remainder when 475 is divided by l.
151
Suppose -5*g + 6490 = 5*a, 4*g + 7*a - 5208 = 11*a. What is the remainder when g is divided by 107?
16
Suppose 4*v = 3*c + 40, 0 = 19*v - 18*v - 4*c + 16. What is the remainder when 878 is divided by v?
14
Suppose 2*y - 20 = -3*k, 0 = -48*k + 49*k - 4*y + 12. Suppose k*x + 49 = 3*q, -4*q + 4*x - 28 + 92 = 0. Calculate the remainder when 63 is divided by q.
3
Suppose -9279 + 2817 = -124*s + 12634. What is the remainder when 268 is divided by s?
114
Let k = 22789 + -22765. Suppose -5*c = 792 - 1982. What is the remainder when c is divided by k?
22
Let v = -2452 - -2725. What is the remainder when v is divided by 68?
1
Let v = -1989 - -2045. Suppose 0 = -2*s, 2*w - 2*s = 8 + 2. Suppose 2 - 82 = -w*o. Calculate the remainder when v is divided by o.
8
Let w = 100 - 96. Suppose 21*x + 188 = w*y + 17*x, 5*x - 25 = 0. Calculate the remainder when 99 is divided by y.
47
Suppose -4*d + 556 = 4*j, j + 869 = 4*d + 313. What is the remainder when d is divided by 2?
1
Suppose -40*b = -13*b - 216. Suppose -b*y = 8*y - 320. What is the remainder when y is divided by 7?
6
Let x be (-1)/((-2 - 2)/164). Suppose b = -3*m + x, -2*b + 14 = -5*m - 35. What is the remainder when 54 is divided by b?
22
Let h = 27 + -23. Suppose 5*w = -3*o - 15, 0 = h*w - 0*w + 4*o + 20. Suppose -5*r + 8*r - 36 = w. Calculate the remainder when 57 is divided by r.
9
Suppose -9*r - 304 = -7*r. Let i be -3 - -5 - (r - (-3)/3). Suppose 4*n - 2*u - i = u, 3*n = -3*u + 120. Calculate the remainder when n is divided by 14.
11
Suppose -4*f - 268 = -r, -3*r = -54*f + 59*f - 855. Calculate the remainder when r is divided by 149.
131
Suppose -120*b + 25481 + 30482 = -14477. Calculate the remainder when b is divided by 241.
105
Let b be (-102)/(-18)*(12 + -3). Suppose 0 = 55*q - b*q - 88. Calculate the remainder when 215 is divided by q.
17
Let d(m) = -11*m + 73. Suppose 0*h = -4*h - 44. Let j = h - -16. What is the remainder when d(6) is divided by j?
2
Let p = -3147 + 3156. Let x = -3 + 5. Let u(d) = -d**3 + 2*d**2 + 4*d - 3. Calculate the remainder when p is divided by u(x).
4
Let i = 372 - 362. Calculate the remainder when 49 is divided by -5*-2*18/i.
13
Let i = 12331 - 12213. Calculate the remainder when 291 is divided by i.
55
Let s = 10 + 69. Let w = s + -46. What is the remainder when 125 + (-6 - -1) + 10 is divided by w?
31
Let w = 18668 + -18567. What is the remainder when 105 is divided by w?
4
Let x = 247 - 157. Suppose 3*l + 29 - 123 = 4*t, 3*l - 3*t = x. Calculate the remainder when 439 is divided by l.
23
Let s(p) = 2*p**3 - 36*p**2 + 5. Let u be s(18). Suppose -g - 3*o = -2, 2*g - 5 = u*o + 10. What is the remainder when 2/4 + (-90)/(-4) is divided by g?
3
Suppose -3*s - 47*x = -48*x - 50, -s = 5*x - 22. Calculate the remainder when s is divided by (6/(-10))/(414/60 - 7).
5
Calculate the remainder when 194 is divided by (4*(-56)/(-20))/(2/15).
26
Suppose d + 3 = 2*d. Suppose 8*i - 265 = d*i. Suppose 266 = -29*k + 43*k. Calculate the remainder when i is divided by k.
15
Let y be 18/2*-2 + 3. Let b(z) = -3*z + 13. Let s be b(y). Suppose s - 211 = -3*w. What is the remainder when w is divided by 19?
13
Let a = -263 + 281. Let v(x) = -3*x**2 + 56*x + 1. Calculate the remainder when 256 is divided by v(a).
34
Suppose 55*u - 53*u = 4. Suppose -q - 3*q = -u*d - 46, 3*d = 2*q - 17. What is the remainder when 20 is divided by q?
7
Let m(j) = 8*j - 4 + 1 + 24*j**2 + 40*j**2 - 63*j**2. What is the remainder when 44 is divided by m(-11)?
14
Let y(s) = -18*s**2 - 941*s + 21. Calculate the remainder when y(-50) is divided by 61.
58
Let v = 17313 - 15787. What is the remainder when v is divided by 303?
11
Suppose -33*c - 47*c + 552 = -29368. Calculate the remainder when 383 is divided by c.
9
Calculate the remainder when (-283542)/628*(2 - 8/3) is divided by 80.
61
Suppose 50*t - 33448 = -98*t. What is the remainder when t is divided by 167?
59
Suppose 25 = f + 3*a, 5*a - 6*a + 35 = 2*f. Calculate the remainder when f is divided by -3*(35/15 - 4).
1
Let u(o) = -o - 3*o**3 - 17 + 4*o**3 - 5*o - 14*o**2 - 4*o. Let m be 177/12 + (-1)/(-4). Calculate the remainder when u(m) is divided by 21.
16
Let x = -15495 + 15931. What is the remainder when x is divided by 18?
4
Suppose -4*f = -6*f + 12. Let p = -9690 - -9747. What is the remainder when p is divided by f?
3
What is the remainder when -3 + (-11 - -3