m + 325, m = 3*y + 2*m - o. Calculate the remainder when y is divided by r.
10
Let o(d) be the third derivative of 0 - 1/3*d**3 - 13/60*d**5 + 1/2*d**4 - 1/120*d**6 + 0*d + 9*d**2. Calculate the remainder when 49 is divided by o(-14).
23
Let w(h) = h**3 + 10*h**2 + 3*h + 12. Let a be w(-10). Let z = -15 - a. Calculate the remainder when 12 is divided by z.
0
Let n(h) = h**2 + 12*h - 6. Let m(g) = g**3 - 4*g**2 - 2*g - 4. Let t be m(4). Let w be n(t). What is the remainder when 20 is divided by 75/7 - w/21?
9
Let x(k) = k**2 - 5*k. What is the remainder when ((-5)/4)/((-470)/(-80) - 6) is divided by x(6)?
4
What is the remainder when -29*(-8)/12 + 2/(-6) is divided by 8?
3
Suppose -3*f + g = -68, -4*f = -g - 10 - 80. Suppose 0 = -z + 5*c + 49 + 94, 4*z = 2*c + 518. Calculate the remainder when z is divided by f.
18
What is the remainder when (3 + -11)/4 - -18 is divided by 14?
2
Let g(j) = j**2 + 6*j - 17. Let p be g(-9). Calculate the remainder when (-112)/6*(-15)/p is divided by 9.
1
Suppose 4*h - 64 = -0*h. Suppose 0 = u + 3*n - h, -3*u + 4*n = -4*u + 17. Calculate the remainder when 63 is divided by u.
11
Let d(k) = 24*k**3 - 2*k**2 + 3*k - 3. Suppose -2*a - 4 = -0*a. Calculate the remainder when a/(-2 + (-336)/(-170)) is divided by d(1).
19
Let z be ((-140)/7)/(-4)*12/(-10). Suppose -5*f + 87 - 22 = 0. Let n = f - z. What is the remainder when 37 is divided by n?
18
Suppose 27 = 5*h + 7, 0 = -5*r + h + 526. What is the remainder when r/(-4)*(-3 - -1) is divided by 18?
17
Suppose -139 = -10*k + 841. Calculate the remainder when k is divided by 9.
8
Let d = 971 + -947. Let o(v) = v**3 + 10*v**2 + 5*v + 4. Calculate the remainder when o(-8) is divided by d.
20
Let u(z) = 187*z**3 + z**2 + 2*z - 3. Calculate the remainder when u(1) is divided by 57.
16
Suppose -13*a - 4 = -15*a. Suppose -2*u + 31 = 3*b - 38, b = -a*u + 59. Calculate the remainder when u is divided by 14.
13
Suppose -3*m + 75 = q, -m + 5*q = q - 38. Suppose -m*o + 35 = -21*o. What is the remainder when 11 is divided by o?
4
Suppose 0 = 2*t - 10 - 22. Suppose -72 + 357 = 3*g. Calculate the remainder when g is divided by t.
15
Suppose 0 = 4*r - 20, 173 = 2*u + 10*r - 5*r. Calculate the remainder when u is divided by 26.
22
Suppose -2*q + 82 = s, 0*q - 419 = -5*s - q. Let f = 51 + -51. Suppose 8*k - 232 = -f*k. Calculate the remainder when s is divided by k.
26
Let q = 224 + -201. What is the remainder when q is divided by 8?
7
Calculate the remainder when (-18)/(-6) + (39 - -4) is divided by 18.
10
Suppose p + 11 = -16. Let z = p - -41. Suppose -4*t + 102 - z = 0. What is the remainder when t is divided by 5?
2
Suppose -o - 1 = -11. Let q = -1886 + 1920. Calculate the remainder when q is divided by o.
4
Let u = -43 + 76. Calculate the remainder when u is divided by 12.
9
Let u = 5 + 60. What is the remainder when u is divided by 35?
30
Suppose 28*t - 13144 = 5700. What is the remainder when t is divided by 13?
10
Suppose 0 = -3*k - 14 - 16. Let i = -8 + 21. Calculate the remainder when 4/k + (-366)/(-15) is divided by i.
11
Suppose 4*h - 2*h = 192. Suppose 3*j = 4*f + 7 + 46, 3*j - f = 38. Calculate the remainder when h is divided by j.
8
Let l = -40 + 37. What is the remainder when 39 is divided by (6/(-33) - (-75)/(-11))*l?
18
Let r = -62 - -11. Let f be 564/180 + (-6)/45. Let w = f - r. Calculate the remainder when w is divided by 11.
10
Suppose -20 = 17*v - 18*v. Suppose -3*z + z = -v. Calculate the remainder when 32 is divided by z.
2
Let c = -125 - -143. Suppose -4*i - 9 = -i, 0 = 3*l - 3*i - c. Calculate the remainder when 14 is divided by l.
2
Suppose -9 = -u - 94*i + 98*i, -4*u + 54 = 2*i. Suppose 0 = q + 2*q - 147. What is the remainder when q is divided by u?
10
Let f = -229 - -269. What is the remainder when 478 is divided by f?
38
Suppose -3*c + 78 = -0*c. Let o = 352 + -172. Suppose 0 = -7*b + 359 + o. Calculate the remainder when b is divided by c.
25
Suppose 0 = -8*q + q - 7. Calculate the remainder when (q - 1)/(2/(-23)) is divided by 11 - 0/1 - -1.
11
Let g(c) = -c**3 - 4*c**2 + c - 11. Suppose 0 = 2*y - 2*j - 20, 0 = 3*y - 3*j - j - 35. Calculate the remainder when g(-5) is divided by y.
4
Let g = 7 - -1. Calculate the remainder when 47 is divided by g.
7
Suppose 0 = 5*w - 0*i + i - 286, -2*i = -3*w + 182. Suppose -20*u + 22*u = w. Calculate the remainder when 86 is divided by u.
28
Suppose 1550 = u - 729. Calculate the remainder when u is divided by 24.
23
Let r(z) = -5*z - 86. Calculate the remainder when r(-42) is divided by 14.
12
Suppose 0 = 5*o + 5*h + 441 + 2169, 2*h = 0. Calculate the remainder when o/(-14) - (-46)/(-161) is divided by 9.
1
Let s = -110 + 22. Let x = -75 - s. What is the remainder when x is divided by 8?
5
Suppose -4*x + 15*t + 180 = 13*t, 225 = 5*x + 3*t. Calculate the remainder when 133 is divided by x.
43
Let a = -1332 - -1375. Calculate the remainder when 100 is divided by a.
14
Let f(t) be the third derivative of -t**4/8 + 5*t**3/6 - 27*t**2. What is the remainder when 44 is divided by f(-4)?
10
Suppose 2*x = 4*v + 16 + 242, 0 = -4*x + v + 530. Calculate the remainder when x is divided by 51.
31
Suppose -35*t + 37*t = 4. Calculate the remainder when 6 is divided by t.
0
Let w(k) = 20*k**2 - 4*k - 4. Let x be w(-1). What is the remainder when 3950/x*2/5 is divided by 20?
19
Suppose 1267 = 64*d - 4749. What is the remainder when d is divided by 58?
36
Suppose 0 = 6*b - 2*b - 540. Let p(l) = -6*l - 43. Calculate the remainder when b is divided by p(-10).
16
Let o(k) = -k**2 - 7*k - 1. Suppose -6 = -4*n - 30. Calculate the remainder when 26 is divided by o(n).
1
Suppose -22 + 130 = 4*u. Calculate the remainder when u is divided by 2 + (4/(-8))/((-1)/26).
12
Suppose -2*r + 9 = -5. Suppose 4*k + 67 - r = 0. Let j = k - -37. What is the remainder when j is divided by 5?
2
Let d be 24/(-10) + (-3)/(-30)*-6. What is the remainder when 17 is divided by (d/2)/(15/(-100))?
7
Let p(u) = 2*u**2 + 29*u - 74. Let v = 124 - 68. Let h = 96 - v. Calculate the remainder when h is divided by p(-17).
7
Suppose 109 + 16 = 4*i + 3*d, 5*d = -5. What is the remainder when i is divided by 13?
6
Calculate the remainder when (207/(-138) - (-959)/(-6))*-3 is divided by 24.
4
Let c be ((-7)/7)/(1/(-1068)). Suppose 0 = -8*b - 4*b + c. Calculate the remainder when b is divided by 23.
20
Let c = 1840 + -1837. What is the remainder when 30 is divided by c?
0
Suppose -6*n + 135 = -n. What is the remainder when ((-1)/(-2))/((-17)/170) - -55 is divided by n?
23
Suppose 4*l + 1044 = 16*l. What is the remainder when l is divided by 44?
43
Let v(h) = 11*h - 1. Suppose 0 = -11*j + 7*j + 12. Suppose j*b - 57 = 9. Calculate the remainder when v(6) is divided by b.
21
Let u(g) = -g**2 + 14*g + 20. Let m be u(15). Suppose m = -r + 2*r. Suppose 2*y = 13 + r. Calculate the remainder when 24 is divided by y.
6
Let h be (-4)/14 - (-7016)/56. Suppose 2*g + 3*g - h = 0. What is the remainder when g is divided by 7?
4
Let i be (-8)/(-40) - (-3)/(-15). Suppose -3*f + 8*f - 55 = i. Let d(b) = -b**3 - b**2 - b + 7. Calculate the remainder when f is divided by d(0).
4
Let d(m) = m + 20. Let b be d(5). What is the remainder when 35 is divided by ((-10)/b)/((-2)/60)?
11
Let z(g) = g**3 + 16*g**2 - 2*g + 10. Calculate the remainder when 196 is divided by z(-16).
28
Suppose 0 = q - 4*p - 279, 2*p + p = 4*q - 1116. What is the remainder when q is divided by 14?
13
Let c(n) = -3*n**2 - 11*n + 1. Let w(s) = -2*s**2 - 5*s. Let b(x) = -3*c(x) + 5*w(x). Calculate the remainder when 53 is divided by b(2).
8
Let a(b) = -3*b**2 - 2. Let v(z) = -6*z**2 - 3. Let q(y) = 5*a(y) - 3*v(y). Let n be q(1). Suppose 15 = n*u - u. Calculate the remainder when u is divided by 8.
7
Calculate the remainder when 137 is divided by (-2*(-69)/(-18))/(7/(-21)).
22
Let z = -10 - -5. Let n be 22 + z - (-3 - 0). Suppose k - n = 1. What is the remainder when k is divided by 12?
9
Let f(x) = 4*x - 5. Calculate the remainder when f(20) is divided by 11.
9
Let j be -3 - (11*-3)/1. Let g be j + (-2)/(2/2). Calculate the remainder when 13 is divided by g*(1/4)/1.
6
Suppose -3*q + 10 = -6*c + 11*c, -25 = 5*q. Calculate the remainder when 9 is divided by c.
4
Calculate the remainder when 19 is divided by (-3)/(-48)*4*28.
5
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