 when 21 is divided by g?
9
Let j(k) = k + 74. Let t be j(38). Calculate the remainder when t*(12/9 - 4/(-6)) is divided by 45.
44
Let m be ((-2)/4)/(6/(-12)). Let a be -12*4/(-18) + m/3. Suppose 3*o + a*p - 27 = 0, -4 = 5*o + 3*p - 43. Calculate the remainder when 8 is divided by o.
2
Let r(x) = x**3 + 8*x**2 - 47. Let q be r(-7). Suppose 5*m = 8*m - u - 70, -4*m + 92 = -q*u. Calculate the remainder when 70 is divided by m.
22
Let s be (-6)/(-39) + 24/13 + 0. Let l(h) = -s*h**2 + 13 + h**2 + 26*h - 5 + 27. What is the remainder when l(26) is divided by 18?
17
Suppose d + 108 = 5*q, 9*q + 2*d = 4*q + 99. Let a(o) = 39*o - 153. Calculate the remainder when a(6) is divided by q.
18
Suppose 186*m - 648 = 168*m. What is the remainder when 188 is divided by m?
8
Let u(p) = 179*p**3 - p**2 + p - 1. Let f = -292467 + 292493. What is the remainder when u(1) is divided by f?
22
What is the remainder when -3 - 1 - -2 - -5699 is divided by 259?
258
Let b(c) = -c**3 + 10*c**2 + 25*c + 2. Let d be b(11). Let t = d + 318. What is the remainder when t is divided by 34?
32
Let y(a) = -2*a**3 + 29*a**2 + 18*a - 8. Suppose 259 = 20*q - 41. Suppose 4*l - 49 = -j, 0*l + 5*l = -4*j + 53. What is the remainder when y(q) is divided by l?
11
Suppose 0 = 244919*m - 244931*m + 50496. What is the remainder when m is divided by 282?
260
Let t = -7916 + 7941. What is the remainder when 743 is divided by t?
18
Calculate the remainder when 4729 is divided by ((-380)/(-228))/(-2 - (-133)/66).
109
Let v(c) = -9*c**2 - 15*c - 8. Let r(g) = -11*g**2 - 14*g - 8. Let q(a) = 5*r(a) - 6*v(a). What is the remainder when q(5) is divided by 18?
11
Suppose -5*j + 113 = 2*z - 572, 0 = -3*j - 2*z + 411. Calculate the remainder when 4930 is divided by j.
135
Let p(m) = 3 + 22*m**2 + 2 + 11*m + m**2 + 5. What is the remainder when p(-1) is divided by 10?
2
Suppose 0 = -4*u + 5*r + 328, 3*r + 519 = 5*u + 109. Let y = u - 13. What is the remainder when 135 is divided by y?
66
Let x(o) = -3*o**2 + 36*o - 31. Let t be x(11). Suppose -t*i - 6 = -216. Calculate the remainder when i is divided by 41.
23
Calculate the remainder when 44/154*(35 - 7) is divided by 6.
2
Suppose 5*t + j = 628, -t + 64 = -2*j - 55. What is the remainder when 1123 is divided by t?
123
Let p be 2 + (-1)/((-2)/2). Suppose 162 = 127*j - 125*j. Calculate the remainder when ((-11)/p)/((-3)/j) is divided by 34.
31
What is the remainder when 9565 is divided by (-138)/(-4)*(826/(-42) - -19)*-4?
89
Let z = -48 + 570. Suppose -953*g + 959*g - z = 0. What is the remainder when 340 is divided by g?
79
Let a = 1380 - 1049. What is the remainder when a is divided by 70?
51
Let l be 7084/35 + 3 - 4/10. Let m = l + -185. Calculate the remainder when 41 is divided by m.
1
Suppose -3*z - n + 6582 = 0, -2*n - 6573 = -7*z + 4*z. Calculate the remainder when z is divided by 43.
0
Let p(a) = 3*a**2 + a + 2. Suppose 0 = -3*j, 0 = -2*h + 3*j - 5 + 1. Let i = -11672 - -11699. Calculate the remainder when i is divided by p(h).
3
Let y = 180 + -177. Suppose y*t + 2*u = 168, -4*u - 36 = 3*t - 198. What is the remainder when 113 is divided by t?
55
Let x(w) = w**3 + 7*w**2 + w + 8. Let a be x(-7). Suppose -5*z = i - z + 2, 2*i - 11 = -3*z. What is the remainder when ((-49)/2)/(a/(-2)) is divided by i?
9
Let g = -3834 + 3933. Calculate the remainder when 2173 is divided by g.
94
Let i(t) be the second derivative of -t**3/2 + 31*t**2 + 213*t. What is the remainder when 34 is divided by i(18)?
2
Suppose -43 + 37 = -3*i. Suppose 0 = i*o - o - 3. Suppose -o*n - 4*u + 43 = 0, 3*n - 2*n = 4*u - 7. What is the remainder when 89 is divided by n?
8
Suppose 81098 = 41*p - 140343. What is the remainder when p is divided by 146?
145
Suppose 23 = -3*r + 4*r. What is the remainder when (-7 + -2)*(-8 - 1) is divided by r?
12
Suppose 6*d - 234 = 438. What is the remainder when 1117 is divided by d?
109
Suppose 0 = 8*u - 106 - 622. Let d = -785 - -804. Calculate the remainder when u is divided by d.
15
Suppose -382*q = -421*q + 8541. Let g(t) = 74*t - 2. Calculate the remainder when q is divided by g(1).
3
Suppose -15*j + 12894 = 11859. Calculate the remainder when -2*(1 + (-223)/2) is divided by j.
14
Suppose -8 = -3*s - s. Let k = 9801 - 9773. What is the remainder when k is divided by -2 + 13 + (s - 2)?
6
Suppose -5*n = -0*n - 290. Suppose j - n = -j. Let d = 1633 - 1623. What is the remainder when j is divided by d?
9
Let b = -39 - -118. Suppose -3*a = -274 - 530. Calculate the remainder when b is divided by a/10 + 16/80.
25
Suppose 5*d - 20 = 0, -1 - 1 = 2*n + 2*d. Let c be 18/(-45) + (-117)/n. Suppose 22*w - c*w = -13. Calculate the remainder when 35 is divided by w.
9
Let h(x) = -x + 20. Suppose 14*m - 87 = -31. Calculate the remainder when 29 is divided by h(m).
13
Suppose y = 5*m - 36, -y - 11 = -m + 3*y. Let j = 873 - 850. Calculate the remainder when j is divided by m.
2
Let z(b) = b**3 - 25*b**2 + 31*b - 66. Let q be z(24). Suppose -q = -a - 0*a - 2*k, -k + 443 = 4*a. Calculate the remainder when a is divided by 29.
25
Suppose 371*u = 69935 - 3897. Suppose -2*b + 90 = 18. What is the remainder when u is divided by b?
34
Let u be (-114)/304 + 1*9/24. Suppose 5*i - 7*i + 240 = u. Calculate the remainder when 469 is divided by i.
109
Let l(j) = 22*j - 2092. What is the remainder when l(106) is divided by 150?
90
Suppose -42*o = -65*o + 46. Suppose 200 = 5*a - 2*l, 4*a + 2*l - 145 + 3 = 0. What is the remainder when a is divided by o?
0
Let m(b) = 32*b - 49. Let x be m(4). Suppose -191 = -9*w + x. What is the remainder when w is divided by 17?
13
Suppose -8*l - l = 828. What is the remainder when ((-6)/4)/(-8 + (-733)/l) is divided by 23?
0
Suppose 333*t = 250*t + 110141. What is the remainder when t is divided by 53?
2
Calculate the remainder when 217 is divided by -5 + (120/(-5))/8 - -114 - -1.
3
What is the remainder when (744/155)/((-2)/(-5)) is divided by 2/((-7)/(294/(-12)))?
5
Calculate the remainder when 1679 is divided by (-4840)/(-70) + (-30 + 33 - (-15)/(-7)).
69
Let j(y) = y**2 - 2*y + 3. What is the remainder when j(-4) is divided by (-4 + 0/1)*-3*4/16?
0
Let y(i) = 11 - 18*i - 2*i**3 - i**3 - 17*i**2 + 4*i**3. Let o(u) = u**2 + 40*u + 297. Let k be o(-9). What is the remainder when 41 is divided by y(k)?
8
Let p(r) = 18*r**3 - r**2 - r + 3. Suppose -459*h = -454*h - 165. Calculate the remainder when h is divided by p(1).
14
Let z = -49 - -67. Suppose 2*j = 31 - 13. What is the remainder when 68 + 0 + (j - 9) is divided by z?
14
Let m(w) = w**2 + 31*w + 61. Let d be -30 + (3 - 3/1). What is the remainder when m(d) is divided by 10?
1
Suppose 46*s - 10*s = 288. Calculate the remainder when s is divided by 7.
1
Let v be (21/(-15) - -6) + 3/(-5). Suppose -v*x + 455 = x. Calculate the remainder when x is divided by 19.
15
Suppose -593 = -265*q - 294 + 1821. Let i(t) = -2*t + 1. Let o be i(6). Let k = 16 - o. What is the remainder when k is divided by q?
3
Suppose -2*o = -5*w - 313, 5*o - 27*w = -26*w + 817. Calculate the remainder when 362 is divided by o.
34
Suppose -4525 = -6*k + 1709. Suppose 1043*c = k*c + 488. What is the remainder when c is divided by 11?
1
Let b = 17087 + -17030. What is the remainder when 983 is divided by b?
14
Suppose 0 = 13*i - 14*i + 5. Suppose 7*h + 5*a = i*h + 16, -5*a + 30 = -5*h. Calculate the remainder when -226*h*2/8 is divided by 29.
26
Suppose m + 5*k + 22 = 10*k, -5*m - 3*k = 54. What is the remainder when 0 + 2234/8 + 3/m is divided by 20?
19
Suppose -4*g - 119 + 343 = 0. Let l(m) = -m**3 - 5*m**2 + 19. Suppose 212*i = 206*i. What is the remainder when g is divided by l(i)?
18
Let w(q) = 134*q**2 - 93*q - 24. What is the remainder when 645 is divided by w(2)?
319
Let c = -87 + 116. Let a(h) = 3*h**3 + 38*h**2 + 24*h + 4. Calculate the remainder when c is divided by a(-12).
1
Suppose -3*x - 47 - 406 = 3*u, 0 = u + 2*x + 155. Let m = u - -154. Calculate the remainder when 25 is divided by m.
4
Let l = -45 - -67. Let a = -59 - -39. Calculate the remainder when (43/4)/(a/(-160)) is divided by l.
20
Suppose -28 = 3*a - 7*a. Suppose 49*r - 309*r + 6240 = -0*r. What is the remainder when r is divided by a?
3
Let y = -252 - -441. What is the remainder when (-3)/2*28/(-3) is divided by ((-432)/y)/(5/((-35)/2))?
6
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