uppose -7966 = -4*m - 5*q, -5*m + 9654 = -q - 347. Calculate the remainder when m is divided by 8.
7
Suppose 23 + 7 = 6*z. Suppose 6*m - 11 = z*m. What is the remainder when 27 is divided by m?
5
Let c(p) = -p**3 + 8*p**2 + 6*p - 30. Let g be c(8). Calculate the remainder when 114 is divided by (g/(-4) + -3)/(2/(-4)).
9
Suppose -6 + 6 = 15*s. Suppose s = -p - 0 + 68. Calculate the remainder when p is divided by 20.
8
Suppose -24*i = -16*i - 1376. Let h = i + -98. What is the remainder when h is divided by 38?
36
Let h(r) = r**2 + 15*r + 38. Let s be h(-3). Calculate the remainder when 39 is divided by s + 3 - -2 - -8.
9
Let b = 1202 - 1192. Calculate the remainder when 29 is divided by b.
9
Suppose 37188 + 1588 = -51*z + 182*z. Calculate the remainder when 649 is divided by z.
57
Let i = 920 + -924. Let h(v) be the first derivative of -v**4/4 - 2*v**3/3 + 2*v**2 + 6*v - 9. What is the remainder when 129 is divided by h(i)?
19
Suppose 258 = 2*i + 2*v, 10*v - 6*v - 135 = -i. Suppose -h + i = 42. Calculate the remainder when 762 is divided by h.
82
Let f = -29262 - -29303. What is the remainder when 1431 is divided by f?
37
Suppose 726 = 109*n + 12*n. Calculate the remainder when 95 is divided by n.
5
Suppose -45 = 11*s - 2*s. Calculate the remainder when 40 is divided by (s/2)/(6/(-12)).
0
Suppose -302 = -w - 3*c, w - 5*c = -0*c + 262. Let a(f) = f**3 + 67*f**2 - 129*f + 631. Calculate the remainder when w is divided by a(-69).
7
Suppose 1723 = 5*o + 2*i, -3*o = -2*o - 2*i - 335. Calculate the remainder when o is divided by 8.
7
Let l(q) = 15*q + 4*q**2 - 3*q**3 + 8*q**2 + 2*q**2 - q**2 - 5*q**2 + 5. Calculate the remainder when 309 is divided by l(-2).
30
Suppose -1579*c + 1576*c + 18 = 0. Suppose c*a = 13*a - 70. What is the remainder when 86 is divided by a?
6
Let r(g) = 22*g + 447. Let j be r(-19). Suppose 3*s - 37 + 7 = 0. What is the remainder when j/2 + 9/(-6) is divided by s?
3
Let z be 21268/169 + (-8)/(-52). Let h = z + -97. Calculate the remainder when 84 is divided by h.
26
Let u(l) = 2*l**2 - 4*l + 138. Let f(k) = -k**2 + 10*k + 1. Let b(g) = -3*f(g) - u(g). Let w = 41 + -20. What is the remainder when w is divided by b(31)?
7
Suppose 834 = 69*k - 63*k. Suppose -w + k = 112. Calculate the remainder when 38 is divided by w.
11
Let y = 1262 - 1261. Let g(s) = 4*s + 17. Calculate the remainder when g(3) is divided by y.
0
Let v(l) = 7*l - 15. Let d be v(5). Let h = 22 - d. Calculate the remainder when (-220)/(-11)*(-1)/(-2) is divided by h.
0
Suppose -4*v = -u + 88, -201 = -3*u + 5*v + 49. Suppose 4*w = -j + 19 + 8, -u = -4*j - 2*w. Calculate the remainder when 47 is divided by j.
9
Let i = 232 - -119. Suppose 0 = -0*o + 3*o - i. Calculate the remainder when o is divided by -1*5/(-1) - (2 + (-1 - 11)).
12
Calculate the remainder when 213 is divided by ((-13 - -3) + 5)*52/(-20).
5
Suppose 6*l - 1411 = 1576 - 581. What is the remainder when l is divided by 45?
41
Let j(u) = 4*u**2 + 7. Let b = 27 + -23. Let t be 6 - 4 - (b - 2 - 3). Calculate the remainder when 84 is divided by j(t).
41
Let d be (-2)/(-2) - (11 - 7) - 179. Let c = 336 + d. What is the remainder when c is divided by 16?
10
Suppose 51*j = -2642 + 3560. Calculate the remainder when (-2)/(-8) - 573/(-12) is divided by j.
12
Let r = -35 - -38. Suppose 0 = -2*i + 4*l - 4, r*i + 0*i + 14 = -2*l. Calculate the remainder when 29 is divided by i*(4 + 108/(-16)).
7
Let z(x) = -39*x + 4. Suppose 9*k - 6*k + 9 = 0. Let u(a) = -116*a + 11. Let g(o) = k*u(o) + 8*z(o). Calculate the remainder when g(2) is divided by 8.
7
What is the remainder when (-6320)/12*9/(-6) is divided by 21?
13
Let m be 144/(-96) + 1162/4. Let x = m + -282. Calculate the remainder when 33 is divided by x.
5
Suppose -5*r - 4*f + 9621 = -8756, -3*r - 4*f = -11039. What is the remainder when r is divided by 27?
24
Let b(d) = 9*d**3 - d**2 + 4*d - 2. Suppose -15 + 20 = 5*x. Calculate the remainder when 34 is divided by b(x).
4
Suppose -46*f + 92*f - 6192 = 45*f. Calculate the remainder when f is divided by 35.
32
Let o = 13827 + -13776. Calculate the remainder when 574 is divided by o.
13
Let j = 4419 + -4390. Calculate the remainder when 190 is divided by j.
16
Let g(k) = -k + 24. Suppose -30 = -5*s + 5*l, 5*l = s - 10 + 4. Let c = 13 + -6. Calculate the remainder when g(s) is divided by c.
4
Let j be 136/(-102) - (-12378)/9. Let g = j + -1371. Let f = 14 + -8. Calculate the remainder when f is divided by g.
0
Suppose 5*p = 19 + 1. Suppose -u + 50 = p*u + 5*w, 4*u = -2*w + 32. Suppose 0 = -u*o + 3*o + 90. Calculate the remainder when o is divided by 17.
13
Suppose 3*w - 26 + 14 = 0, 3*h = -4*w + 610. Suppose 11*o - 11 = h. Calculate the remainder when 42 is divided by o.
4
Let k(t) = 17*t**2 + 8*t + 4. Let y(w) = -16*w**2 - 8*w - 3. Let z(l) = -4*k(l) - 5*y(l). Calculate the remainder when 55 is divided by z(1).
17
Suppose -4*o + 16 = -196. What is the remainder when (38/(-4)*1)/((-9)/54) is divided by o?
4
Suppose -3*i + 5*t = -77, 0 = -17*i + 15*i + 5*t + 43. What is the remainder when i is divided by 30?
4
Let r = 810 - 808. Suppose r*a = -x + 235, -6*a - x - 245 = -8*a. What is the remainder when a is divided by 69?
51
Suppose 186*n - 20794 - 13616 = 0. Calculate the remainder when 726 is divided by n.
171
Let v(p) = 163 - 31 - 5*p + 50 + 129 - 55. What is the remainder when 557 is divided by v(40)?
53
Suppose 27*m - 43 + 51 = 440. What is the remainder when 1165 is divided by m?
13
Suppose -5*w = 4*b - 4*w - 21, 0 = b + 4*w + 6. Suppose -b*q = -3*q - 195. Let x = q - 47. What is the remainder when 89 is divided by x?
17
Suppose -30 = -41*j + 35*j. Calculate the remainder when 268 + 2 + -2 - (10 - j) is divided by 19.
16
Let x be (127 - 0) + (-11 - -8). Suppose 109*g + 1500 = x*g. What is the remainder when g is divided by 21?
16
Suppose 0 = -4*y + 66 + 38. Suppose -x - 483 = -4*x. Suppose 3*i + 2*k - x = 0, -k - 114 = -2*i - 4*k. Calculate the remainder when i is divided by y.
25
Let o(m) = 22*m**2 + 13*m + 2. Let w(a) = -8*a - 26. Let j be w(-3). Calculate the remainder when 252 is divided by o(j).
60
Let a(h) = 3*h + 1. Let r = 38 - 40. Let v be r/11 + 46/253. Calculate the remainder when 4 is divided by a(v).
0
Suppose -34 - 17 = 16*q - 515. What is the remainder when 4517 is divided by q?
22
Calculate the remainder when 5/(-95) - (-10790598)/798 is divided by 84.
82
Let g = 793 - 467. Let q = g + -202. Calculate the remainder when q is divided by 42.
40
Suppose 123 = 14*w + 27*w. Suppose -10*q + 13*q + w*u = 18, 0 = 2*q + 5*u + 3. What is the remainder when q is divided by 9?
2
Suppose -2*q - 3*q - 4430 = 0. Let t = -853 - q. Calculate the remainder when 526 is divided by t.
31
Suppose 5*p + 2*q = 1484, -3*q = -q - 4. Suppose -3*w = -p + 140. Calculate the remainder when 157 is divided by w.
1
Let x = -3 - -10. Suppose 11 = 11*s - 22. Suppose -3*z = -12 - s. What is the remainder when x is divided by z?
2
Suppose -19*l = 3*l + 25*l - 23077. Calculate the remainder when l is divided by 181.
129
Let q = 5352 + -4934. Calculate the remainder when 840 is divided by q.
4
Calculate the remainder when 3669 is divided by (-107)/(-2) - -1 - 16/(-672)*-21.
51
Suppose 9 + 1 = -2*c + 4*u, -5*c - 3*u = -14. Suppose 0 = o - 2, -12 - c = -y - 4*o. Calculate the remainder when 9*(8/(-8) - -3) is divided by y.
3
Suppose 9348 = 12*u + 1704. Suppose 4*d - u = -609. What is the remainder when 76 is divided by d?
6
Let z = -5677 - -5689. What is the remainder when 1149 is divided by z?
9
Let o(q) = -11*q - 23. Let y be o(11). Let s = 242 - y. Calculate the remainder when s is divided by 97.
95
Suppose 2*g + 3*g = 20. What is the remainder when (224/12)/(g/6) is divided by 8?
4
Let g(v) = -v**3 + 9*v**2 + 124*v - 41. What is the remainder when g(15) is divided by 61?
42
Let z(j) = -55*j + 40. Let o(x) = -5*x + 23. Let c be o(5). Calculate the remainder when z(c) is divided by 54.
42
What is the remainder when 593 is divided by 2820/140 + -13 + 1/(-7)?
5
Let b = -60 + 63. Suppose 89 = 4*r - b*x, 2*r - 72 = -2*x - 10. Suppose -2*d + j = -124, -r = 5*j - 6. Calculate the remainder when d is divided by 16.
12
Let z(k) = -k**3 + 10*k**2 + 11*k + 24. Suppose 70 = 17*i - 83. Calculate the remainder when z(11) is divided by i.
6
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