5)/(-9))/((-1)/(-3)). Suppose -5*r = -s*v - 65, r + 2*v - 25 = -v. Suppose 0 = 2*m - 144 + 22. Calculate the remainder when m is divided by r.
13
Let a(c) = -c**3 - 13*c**2 - 4*c + 13. Let m be a(-13). Suppose 0 = 4*g - l - 138, 5*g - 95 = -5*l + m. What is the remainder when g is divided by 5?
4
Let n = 13 + 3. Suppose -80 = 33*x - 41*x. Calculate the remainder when n is divided by x.
6
Suppose -3*s - s + 8 = 0. Suppose -48 = -a - 4*z - 8, 77 = s*a + 5*z. What is the remainder when a is divided by 14?
8
Suppose 18 = 5*m - 5*c - 27, -3*c = 4*m - 50. Calculate the remainder when m is divided by 0 + (-1)/(-2)*6.
2
Let a(r) = r**3 - 8*r**2 - 9*r + 6. Suppose -u + 7 = -4*y, 4*y - 5 - 42 = -u. What is the remainder when u is divided by a(9)?
3
Suppose -102 = 4*a - 474. Calculate the remainder when 833 is divided by a.
89
Suppose -3*u = -3 + 15. Suppose 50 = 3*k + 5*v, -v + 5*v = -k + 5. What is the remainder when k is divided by 7*u*1/(-2)?
11
Let g(y) = -7*y**3 - 1. Let r be g(-1). Suppose -l = -r*l + 15. Suppose 115 = 3*z - 2*s, 7*z - 3*z - 154 = l*s. What is the remainder when z is divided by 14?
9
Suppose 0 = 10*d - 3164 - 236. What is the remainder when d is divided by 23?
18
Let d = 9 + -3. Suppose -5*i + 15 = 0, -i - 3*i = -2*g + d. Suppose 4*x = 3*w - 35, 20*w + 5*x = 24*w - 45. Calculate the remainder when g is divided by w.
4
Suppose 138*r + 9096 = 144*r. Calculate the remainder when r is divided by 49.
46
Let o(g) = 97*g. Let p(h) = h**2 + h + 1. Let l(j) = j**3 - 8*j**2 + 4*j + 7. Let k(s) = l(s) - 2*p(s). What is the remainder when o(1) is divided by k(10)?
22
Let g be 4/(-3)*(-45)/20. Suppose -g*c + 10 = -14. What is the remainder when c is divided by 5?
3
Let i = 284 + -242. Calculate the remainder when 119 is divided by i.
35
Let y(k) be the third derivative of k**5/30 + 5*k**4/24 + k**3/3 - 38*k**2. Calculate the remainder when y(-10) is divided by 17.
16
Let r(z) = -z**3 - 16*z**2 - 17*z - 17. Suppose 2*f + 24 = 2*q, 0 = 2*f - 4*q + 10 + 8. Calculate the remainder when r(f) is divided by 4.
1
Let n be (-32)/6*(-45)/(-20). Let w(j) = j**2 + 8*j - 5. What is the remainder when w(n) is divided by 22?
21
What is the remainder when 135 is divided by (-3 + 7)/(0 + 2)?
1
Let c = 78 + -52. Let w = 26 + -19. Suppose -2*i - 45 = -w*i. Calculate the remainder when c is divided by i.
8
Suppose 0 = -2*m + 4, -5*m = -4*s - 426. Let u = s + 139. What is the remainder when u is divided by 2/6 + (-26)/(-3)?
8
Let g(w) = -24*w**3 + 20 - 6 + 23*w**3. Calculate the remainder when 40 is divided by g(0).
12
Let h(l) = 3*l**2 + l + 5. Let n be h(-2). Suppose 0*k - 5*k = -2*g + 39, -g = 2*k - n. Calculate the remainder when 65 is divided by g.
14
Let n = 198 + -194. Calculate the remainder when n is divided by 12 + -12 - 6/(-2).
1
Let u be ((-5)/15)/((-1)/39). Let h = -9 + u. Let s = h + 11. Calculate the remainder when 28 is divided by s.
13
Suppose 3*w = 2*t + w + 4, 4*t = 2*w. Suppose 255 = 2*r - c, 0 = -r - t*r + 3*c + 378. Calculate the remainder when r is divided by 33.
30
Let y = -2240 - -2244. What is the remainder when -2 + 0 + (18 - 2) is divided by y?
2
Let i(y) = 6*y - 1. Let u = 0 - -6. Suppose -2*v = u*l - l - 37, -4*v + 11 = 3*l. What is the remainder when l is divided by i(1)?
4
Let a(q) = -117*q + 22. What is the remainder when a(-1) is divided by 46?
1
Let o(x) = -8*x - 4. Let w(s) = -s**3 + 2*s**2 + 2*s - 4. Let f be w(3). Let j be o(f). Let y = j - 27. What is the remainder when 49 is divided by y?
24
Let n(p) = -p**2 + 7*p. Let y be n(5). Suppose -y*h = -6*h - 100. Calculate the remainder when h is divided by 4.
1
Suppose 5*r - 2*q - 29 = 0, 4*r - 6*q + 5*q = 22. Suppose -5*d + c + 576 = 199, r*d - 4*c - 383 = 0. Calculate the remainder when d is divided by 19.
18
Let o(p) = -p**3 - 15*p**2 - 3*p + 8. Let f be o(-15). Suppose 3*v - f = -5. Calculate the remainder when 77 is divided by v.
13
Let t(q) = 4*q**2 + 12*q + 15. Suppose 0*p - 4*i - 229 = -5*p, -85 = -2*p - 5*i. Calculate the remainder when t(-8) is divided by p.
40
Let d(b) = -19*b - 30. Calculate the remainder when d(-23) is divided by 83.
75
Let o(w) = -w**2 - 19*w - 29. What is the remainder when 72 is divided by o(-15)?
10
Let a(w) = 7*w**2 - 8*w - 10. What is the remainder when a(-4) is divided by 69?
65
Let z = 708 - 220. What is the remainder when z is divided by 49?
47
Suppose 7*s - 3*j = 11*s - 234, 2*s = -j + 116. Calculate the remainder when 166 is divided by s.
52
Let x = -340 + 436. Calculate the remainder when x is divided by 49.
47
Suppose 30*i + 350 = 32*i. Suppose -a = -6*a + 2*o + i, 5*a - 160 = -o. Calculate the remainder when 96 is divided by a.
30
Let x be 9/18*(-5)/(5/14). Let f(a) = -a + 19. Calculate the remainder when f(8) is divided by (x/(-2))/((-1)/(-2)).
4
Let m(v) = 4*v**2 - 18*v - 52. What is the remainder when 55 is divided by m(-3)?
17
Let g = 855 - 756. What is the remainder when g is divided by 34?
31
Let x = 1545 - 307. Calculate the remainder when x is divided by 40.
38
Let m(j) = -j**3 + 6*j**2 + 3*j - 2. Let b(d) = d**3 - 4*d**2 - 11*d - 2. Let k be b(6). What is the remainder when m(k) is divided by 15?
12
Let o = -87 - -72. Let p = o + 102. What is the remainder when p is divided by 44?
43
Let s = 0 + -7. Let m be (-2 + (-24)/(-7))/((-5)/(-35)). Let v = m - s. What is the remainder when 50 is divided by v?
16
Let f(o) = -o**2 - 10*o - 12. Let i be f(-8). Suppose 2*b - 3*b - 5*n = -10, i*n + 64 = 4*b. What is the remainder when 86 is divided by b?
11
Let j be (2/6)/(7/21). Let v(g) = 15*g**2 - 6*g - 1. What is the remainder when 45 is divided by v(j)?
5
Calculate the remainder when 48 is divided by (-2)/(3 - 53/17).
14
Let b = -2 - -22. Suppose i - 2*j = -1 + 48, i - 5*j = 53. Suppose g - i = 2*v, 2*g + 0*g - v - 80 = 0. What is the remainder when g is divided by b?
19
Let k(u) = u**3 - u**2 + 2*u - 5. Let r be (27/(-6))/(-9) + (-15)/(-6). What is the remainder when 132 is divided by k(r)?
18
Let d = 274 - 224. Calculate the remainder when d is divided by 39.
11
Let t(h) be the first derivative of 5*h**2/2 - h + 2. Let o(q) = 11*q**2 - 3*q + 2. Let l be o(1). Calculate the remainder when t(l) is divided by 13.
10
Let z(c) = c**3 + 16*c**2 + 13*c - 19. Suppose -5*g = -8*g - 45. What is the remainder when 40 is divided by z(g)?
7
Suppose 3*f - 9 - 12 = 0. What is the remainder when -4*(1 - 168/32) is divided by 65/7 - 2/f?
8
Suppose 3*h = h - 4*c + 54, -4*c - 120 = -4*h. Suppose 0 = -3*l - l - 4*d + 452, 4*d - 113 = -l. Let s = l - 28. What is the remainder when s is divided by h?
27
Suppose -3*h = -h + 4, 3*f - 2*h = 7. Let z = 9560 + -9544. What is the remainder when 93*(2/(-3) + f) is divided by z?
15
Suppose r - 5*g - 2 = -g, -5*r + 4*g + 10 = 0. Let m be -1 - (-44)/4 - r. Let w = m - 3. Calculate the remainder when w is divided by 2.
1
Let n(m) = -m**3 + 9*m**2 - 8*m + 5. Let x be n(8). Calculate the remainder when (-12)/(-60) + 534/x is divided by 36.
35
Let p = -46 + 91. Let v = -9 + p. Calculate the remainder when v is divided by 13.
10
Let l(j) = 28 - j + 8*j - 6*j - 2*j. Suppose 3*k + 39 = 3*a, -2*a + 7*a = -4*k + 83. What is the remainder when 23 is divided by l(a)?
10
Suppose 2*c + 2 = 4*g, -4*c - 2*g + 48 = 3*g. Let p = c - -1. Suppose 5*u = 3*f - 14, f - 3*u - 7 = -1. Calculate the remainder when p is divided by f.
2
Suppose 54 = 3*s - 0*s. Calculate the remainder when 30 is divided by s.
12
Suppose 5*z - 246 = 3*k + 142, 5*k - 149 = -2*z. Calculate the remainder when 85 is divided by z.
8
Let a(g) = -g**3 - 4*g**2 + 7*g - 20. What is the remainder when 399 is divided by a(-6)?
9
Let m be (-78)/4*38/(-3). Suppose -5*l + m = -8. Let z = 54 + -27. Calculate the remainder when l is divided by z.
24
Calculate the remainder when 212 is divided by (-2)/((-4)/14) - (-372)/6.
5
Let c = 68 + 20. Calculate the remainder when c is divided by 48.
40
Let p(r) be the second derivative of -2*r**3/3 - 24*r**2 + 2*r. What is the remainder when 108 is divided by p(-16)?
12
Suppose 0 = i + 2 - 23. Let y = 401 + -390. What is the remainder when i is divided by y?
10
Let z(q) = -q**2 - 13*q + 2. Calculate the remainder when 83 is divided by z(-9).
7
Let t(h) = -3*h**2 + 42*h - 41. What is the remainder when 156 is divided by t(12)?
1
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