ppose -4*j - 2*b + 240 = 0, h*j - 279 - 30 = 2*b. Calculate the remainder when j is divided by 6.
1
Suppose 6*r = 10 + 2. Suppose 121 = 3*s - l, -2*s + 3*l + 153 = r*s. Suppose -j + 4*j = s. What is the remainder when 38 is divided by j?
10
Let t = 6587 + -5927. What is the remainder when t is divided by 25?
10
Suppose 128 - 30 = 2*p + 4*r, -5*p + 4*r + 273 = 0. What is the remainder when 1587 is divided by p?
50
Suppose -3*n - 2*p + 24 = 0, -6*n + 4*p - 28 = -10*n. What is the remainder when 120*6/n*20/36 is divided by 14?
12
Let k(m) = -m - 4. Suppose 2*y - 2*a = -8, 0*y - 8 = -y + 4*a. Let s be k(y). What is the remainder when 8 is divided by s/(4/(-8)*-4)?
0
Suppose -i + 66 = -0*i + h, -4*i + 296 = -4*h. Let l = 317 - 313. Calculate the remainder when i is divided by 34 - (l + -4) - -3.
33
Let m(j) = j**2 - 26*j + 162. Suppose 11*i = 25 + 217. What is the remainder when m(i) is divided by 22?
8
Let o(r) = 12*r + 122. Suppose 0 = 48*g - 4*g + 396. What is the remainder when 893 is divided by o(g)?
11
Let b be 31/6 + (-7)/42. Suppose b*i = 3*q - 8*q + 310, 307 = 5*q + 2*i. What is the remainder when 303 is divided by q?
59
Let p(n) = n**2 + 13*n + 48. Suppose 3*r = 2*d - 30, -30 = 3*r - 0*d - d. What is the remainder when 34 is divided by p(r)?
16
Suppose 7 = 3*q - 2*q. Let r = 89 + -90. Calculate the remainder when r*45/18*-16 is divided by q.
5
Let l be 4*-4*(-4)/16. Suppose -20 = l*o, 3*o + 1 = 2*q - 18. What is the remainder when 113 is divided by ((-38)/q)/(27/(-54))?
37
Suppose l - 2*t - 88 = 0, 3*t - 78 = 3*l - 4*l. What is the remainder when l is divided by 84?
0
Suppose 0 = -2*c - 20 + 98. Suppose 3*u - 34 + 14 = -z, 4*z = 5*u - c. Suppose -u*a + 12*a = 55. What is the remainder when 20 is divided by a?
9
Suppose 164*p - 1609405 = 408264 + 712603. Calculate the remainder when p is divided by 75.
73
Suppose -4*m = -104*i + 101*i + 44, 2*i - m = 31. Calculate the remainder when (-25 + 1)*(-15)/6 is divided by i.
12
Let u be -9*2/(4/(-10)). Let r be (-2 - 20/(-8))*0 + 6. Suppose -r*b = -3*b - u. What is the remainder when 55 is divided by b?
10
Suppose 4*k = r + 5, -2*k - 3*r + 5*r = -4. What is the remainder when 757 is divided by (k - 0)*-1*120/(-12)?
7
Let z = -215 - -221. Suppose -2*f + z = f + 3*o, f - 22 = 3*o. What is the remainder when 46 is divided by f?
4
Suppose s - 54 = 13. Let m = -3743 - -3760. Calculate the remainder when s is divided by m.
16
Let u = 7482 - 7475. Let r(g) = g**2 + 9*g - 4. Let h be r(-9). Calculate the remainder when 2/(h/102*-3) is divided by u.
3
Let u = -2 + -2. Let b be (-1303)/(-5) - (u/10 - -1). Let z = b + -134. What is the remainder when z is divided by 32?
30
Suppose 4187 + 19528 = 155*q. What is the remainder when q is divided by 68?
17
Suppose -464 = 46*a - 54*a. What is the remainder when 59 is divided by (-27)/(a/8 - 8)?
23
Let g(t) = -t - 15. Suppose q + 4*q = -85. Let j be g(q). Suppose 0 = -o - z + 199, -j*o + 10*z = 8*z - 414. Calculate the remainder when o is divided by 41.
39
Suppose 0 = 3*y + 14*a - 12*a - 1498, 4*y = -5*a + 2016. Calculate the remainder when 497 is divided by y.
3
Let x = -55 + 154. Suppose -x*z + 101*z = 30. Calculate the remainder when 85 is divided by z.
10
Calculate the remainder when (2775/(-50) - 8)*-10 is divided by 248.
139
Let x be (1 - 677/2) + (-12)/(-24). Let w = -328 - x. What is the remainder when (-634)/(-18) - 6/27 is divided by w?
8
Suppose 4*c = -4*y + 132, 25*c - 28*c - 5*y = -99. Calculate the remainder when 304 is divided by c.
7
What is the remainder when ((-605)/(-15))/((-14)/(-42)) is divided by 104?
17
Let g(s) = 7*s**2 - 17*s + 17. What is the remainder when 14821 is divided by g(4)?
59
Let y = -15560 + 15584. Let f = 2 + 2. Suppose f*k - 27 = 1. What is the remainder when y is divided by k?
3
Let i(c) = 8*c**3 - c**2 - 13*c + 13. Suppose 0 = t + 5*p + 22, 2*t - 2*p - 22 = -6. Calculate the remainder when i(t) is divided by 13.
12
Let s be ((-190)/(-6))/((-14)/126). Let r = s + 462. Calculate the remainder when r is divided by 36.
33
Suppose -123 = -4*l + i, 3*i - 153 = -3*l - 42. Suppose 129*t - 143*t = -826. What is the remainder when t is divided by l?
27
Let v be 2/(-8) - ((-63)/12 - -5). Suppose 0 = -4*r - 16, 3*s - 2*r + v*r - 341 = 0. What is the remainder when s is divided by 13?
7
Suppose -35*h + 7166 = 3421 - 16870. Calculate the remainder when h is divided by 6.
1
Let s be (-78)/(-13) + -1 + 316. Let u = -314 + s. Calculate the remainder when 180 is divided by u.
5
Let a(g) = g**2 - 10*g - 12. Calculate the remainder when (-8780)/(-340) + 36/204 is divided by a(12).
2
Suppose 0 = -z - 2*a + 139, a = -z + 5*z - 592. Let x(m) = 5*m**2 + 3*m - 2. Calculate the remainder when x(5) is divided by (8/6)/(14/z).
12
Suppose 5*n + 2*l = 9075, 28 = -5*l + 3. What is the remainder when n is divided by 1806?
11
What is the remainder when 536 is divided by ((-294)/14 - 102)/((-9)/3)?
3
Suppose 64*r - 707 = -126*r + 4233. What is the remainder when 89 is divided by r?
11
Calculate the remainder when 126 is divided by 3 - -40 - 0*13/(-156).
40
Suppose -2*u + 410 + 100 = 0. Let l = 270 - u. Calculate the remainder when 78 is divided by l.
3
Let b = 148 + -145. Suppose -3*h + b*a + 384 = 0, -3*h = 3*a + a - 391. Calculate the remainder when h is divided by 11.
8
Let b = -742 - -2279. What is the remainder when b is divided by 44?
41
Let a(m) = m**3 + 11*m**2 - 13*m + 15. Let f be a(-12). Suppose 30*u - 57 = f*u. Calculate the remainder when u is divided by 11.
8
Let b = -677 + 846. What is the remainder when b is divided by 57?
55
Let c be (-2)/(-10) + 76/20. Suppose 8*k - 420 = -c*k. What is the remainder when 96 is divided by k?
26
Suppose -4*g + 3287 = -887*n + 890*n, 5*n - g - 5463 = 0. What is the remainder when n is divided by 137?
134
Suppose 16*w + 669 = 19*w. Let b = -382 - -396. What is the remainder when w is divided by b?
13
Suppose -7 = -2*k + 5. Suppose -5*i = k - 6. Suppose -5*g + 0*g + 755 = i. Calculate the remainder when g is divided by 11.
8
Let g(o) be the first derivative of 8*o**3 + 2*o**2 + 4*o + 20. Let d be g(-2). Calculate the remainder when 10*(0 - d/(-8)) is divided by 39.
37
Let o(l) = -l**3 + 9*l**2 + 76*l - 620. What is the remainder when 322 is divided by o(9)?
2
Let u = -7540 + 7746. Calculate the remainder when 426 is divided by u.
14
Suppose -y - 2*y + 177 = 0. Suppose -395692 = -1186*o + 438*o. Calculate the remainder when o is divided by y.
57
Let a(h) = 3*h + 45. Let s(v) = 5*v**2 + 2*v + 2. Let p be s(5). Suppose 5*q = p + 13. What is the remainder when q is divided by a(-9)?
12
Let t be (-24)/((3 - (-68)/(-12)) + 2). Suppose 4*i - 2*u = 2*u + t, -3*u + 33 = 2*i. What is the remainder when i is divided by 6?
0
Let r = -9 - -10. Let j be (-4 - 0) + 5 + (r - -36). Suppose 2*b - 29 - j = 3*f, f + 129 = 4*b. Calculate the remainder when 93 is divided by b.
29
Suppose -3*q - 3*z = -102, -4*q - 2690*z + 2695*z + 136 = 0. Calculate the remainder when q is divided by ((-84)/8)/((-3)/4).
6
Suppose z = -2, 16*v = 15*v - 5*z + 413. Let j = -348 + 401. What is the remainder when v is divided by j?
52
Let y = -350 - -383. Let q(a) = -2*a**2 + 45*a - 189. Calculate the remainder when q(13) is divided by y.
25
Let r(n) = -1. Let m(o) = 4*o - 1. Let x(u) = -m(u) - 2*r(u). What is the remainder when x(-1) is divided by ((-8)/(-7))/2 + 40/28?
1
Suppose 572 = -96*f + 100*f. Suppose -5*d - 21 = -6, d + f = b. What is the remainder when b is divided by 4?
0
Let u(j) = 0*j - 14*j - 2*j + 7*j - 112. Let b = -13 + 26. Calculate the remainder when b is divided by u(-13).
3
Let p = 1368 + -1287. Suppose 4*k = 2*k + 36. Calculate the remainder when p is divided by k.
9
Let l(j) = -35*j - 769. Calculate the remainder when l(-38) is divided by 549.
12
Let s(p) = 561*p**2 - 932*p + 3. Calculate the remainder when s(3) is divided by 560.
16
Suppose 8*o - 15577 = 8*o - 37*o. What is the remainder when o is divided by 198?
25
Suppose -4*q + 12 = 2*l - 2*q, q = 4. What is the remainder when l + 2 + -7 + 94 is divided by 35?
21
Let p(b) = 5*b - 55. Let f be ((-3)/(-1) - -11)*1. What is the remainder when 104 is divided by p(f)?
14
Suppose 0*p + 4*p - 1094 = -3*u, 0 = u - 3*p - 343. Calculate the remainder when u is divided by 85.
18
Calcu