u = 3*h, -2*h - 8 = 3*u + 3*h. Let v be 3/(-2 + (-28)/(-16)). What is the remainder when 1 - (-8 + v/(-3)) is divided by u?
1
Let z = 12 + -11. Suppose 5*b = -i + z + 6, -4*b = 3*i - 32. Suppose 0*x - 3*x = -69. What is the remainder when x is divided by i?
11
Suppose -4*y - 34 = -3*k, 0*y + 67 = 4*k - y. Let t be 3/k + 23/6. Suppose -t*u + 2 = -10. What is the remainder when 4 is divided by u?
1
Suppose 0 = 5*g + 3*z - 1113, 2*g - z = 528 - 85. What is the remainder when 455 is divided by g?
11
Let h = -3 - -19. Suppose -5*q = -3*x - h, q + 2*x = -2*q + 2. Suppose k + 5*i = 46, q*k - k = 5*i - 4. What is the remainder when 103 is divided by k?
19
Suppose -a = 2*s - 9, -2*s - 2*a = 2*a. Let n(l) = -13*l - 4. Calculate the remainder when n(-3) is divided by s.
5
Let m be 9/4 + 10/(-40). Suppose -m*p + 3*s = -46, 0*p + 4*s = p - 28. Let u = p + -9. Calculate the remainder when 19 is divided by u.
8
Let y = 9 - 6. Suppose 2*d - 3*j = 355, 5*d + 8*j = y*j + 850. What is the remainder when d is divided by 35?
33
What is the remainder when 3/(-9) - (-254)/6 is divided by (1 - 0)/(31/15 - 2)?
12
Suppose -4 = -3*b - 2*k, 3*b = k + 4*k + 32. Suppose -s + b*s = -132. Let g = s - -93. Calculate the remainder when g is divided by 13.
10
Let d(p) = -12*p + 33. What is the remainder when 90 is divided by d(-1)?
0
Suppose -g + 335 = 5*x - 5*g, 2*x - g - 137 = 0. Let w = x + -53. Calculate the remainder when 71 is divided by w.
17
Suppose 21 = -76*t + 77*t. Calculate the remainder when 77 is divided by t.
14
Suppose -r - 47 = -20. Let a = 37 + r. Calculate the remainder when 49 is divided by a.
9
Suppose -4185 = -8*w - 19*w. Calculate the remainder when 604 is divided by w.
139
Suppose -19 - 1 = -5*q. Calculate the remainder when q + -4*3/(-12) is divided by 2/(-8)*6*-2.
2
Let n = -4 + 24. What is the remainder when 1/4*8240/n is divided by 21?
19
Let j(x) = 21*x**3 + 2*x**2 - 2*x + 1. Let t be (-36)/(-14)*(-112)/(-24). Let a be ((-4)/24)/((-2)/t). Calculate the remainder when j(a) is divided by 8.
6
Let t(o) = -o**3 + 9*o**2 + 11*o - 31. What is the remainder when t(8) is divided by 9?
4
What is the remainder when 130 is divided by 176/(-44) + 62/2?
22
Suppose -3*r + 12 = -0*r. Suppose -3*d + 0*h + 5 = -2*h, 4*d - 4*h = r. What is the remainder when (-18)/(-4) - (-3)/6 is divided by d?
2
Suppose -2*h + 5*h = -4*i + 76, -57 = -3*i + 4*h. Suppose 3*g + 111 = -0*g. Calculate the remainder when -1 + -2 + 1 - g is divided by i.
16
Let k = 284 + -248. Calculate the remainder when 393 is divided by k.
33
Suppose -23*x + 677 = -197. Calculate the remainder when x is divided by 15.
8
Let t = -565 + 599. What is the remainder when 65 is divided by t?
31
Suppose 2*v + 4*d - 22 = 0, 0*v + 4*d - 24 = -4*v. Let h = -4 + 4. Let i = 1 - h. What is the remainder when i is divided by v?
0
Let f(u) = -2*u + 2. Let p(s) = s**3 - 5*s**2 + 5*s + 2. Suppose h - 7 + 3 = 0. Calculate the remainder when f(-4) is divided by p(h).
4
Let p be 1/(-3) - 261/27. Let m(w) = w**3 + 9*w**2 - 10*w - 1. Let k be m(p). What is the remainder when 15 is divided by (2 + -1)/(k/(-9))?
6
Let s(q) = -5*q - 3 + 0 - 1 - q. Let w(y) = y**2 - 5*y + 3. Let f be w(3). Calculate the remainder when 39 is divided by s(f).
11
Let b = 28 - 1. Suppose 0 = l - b - 26. Let o = 17 + -3. Calculate the remainder when l is divided by o.
11
Suppose -2*r - 75 = -5*f + 143, -3*r - 54 = -f. What is the remainder when 87 is divided by f?
3
Let s(v) = -v**2 + 8*v - 12. What is the remainder when 12 is divided by s(5)?
0
Let h be ((-3)/9)/((-1)/57). Let p = h + -10. Let m(o) = o**3 + 8*o**2 - 10*o - 3. Calculate the remainder when p is divided by m(-9).
3
Calculate the remainder when (-30 + 0)/2*(100 - 107) is divided by 27.
24
Let d be -2 + 4*(-2 - -4). Let v be ((-21)/6 - -3)*-60. Suppose d*g - v = g. Calculate the remainder when 9 is divided by g.
3
Let y be 3/(-8)*-12*(-4)/(-6). Suppose 0 = y*g + 2*t - 157, 0 = g - 4*g + 2*t + 137. What is the remainder when g is divided by 10?
9
Suppose 5*h + 2*t - 40 = 0, 3*h = -0*t + 2*t + 8. Let g(y) = y**3 - 5*y**2 - 4*y - 3. Calculate the remainder when g(h) is divided by 2.
1
Let g(r) = r + 23. Let d(a) = a**3 + 11*a**2 + 15*a - 9. Calculate the remainder when d(-8) is divided by g(-15).
7
Suppose 5*x - 2*x + 57 = 0. Let h(d) = -d**3 + 5*d**2 + 7*d + 17. Let o be h(6). Let l = o + x. What is the remainder when l is divided by 3?
1
Let h be (-66)/9 - (-2)/6. Let u be ((-6)/h)/(1/7). Suppose d + 1 = u. Calculate the remainder when d is divided by 2.
1
Let t(s) = -21 + 20 - s + 0*s. Let b be t(-3). Suppose -x + 13 = 5*q, q - b + 1 = -x. What is the remainder when q is divided by 3?
0
Suppose 0 = -40*v + 3*v + 3219. Calculate the remainder when v is divided by (-7 - 0)*(-30)/7.
27
Let h(l) = -10*l**3 + l**2 + 2*l + 1. Let y be h(-1). Suppose -s + y = 1. What is the remainder when s is divided by 89/((-1513)/(-612)) - 33?
0
Let d = 117 - 50. Let b(k) = -5*k - 13. Let m be b(-6). Let j = 40 - m. Calculate the remainder when d is divided by j.
21
Let i = -578 - -602. What is the remainder when 166 is divided by i?
22
Let m be 4/(-10) - 19/((-190)/84). Suppose -37 = -m*r + 35. Let c(u) = 2*u**2 + 3*u + 3. Calculate the remainder when r is divided by c(-2).
4
Suppose 0 = -c + 60 - 11. Let z = -26 + c. Let r = -14 + 22. Calculate the remainder when z is divided by r.
7
Let l = -45 + 14. Let q = 46 + l. What is the remainder when 39 is divided by q?
9
Let s(m) = -m**3 - 6*m**2 + 7*m - 9. Suppose -3*x + 8 = x. Let z be (x - 0) + -15 + 5. Calculate the remainder when s(z) is divided by 16.
15
Suppose -22*i + 170 = -28. What is the remainder when 141 is divided by i?
6
Let r = 4 - -2. Suppose -r*w - 27 = -129. Calculate the remainder when 49 is divided by w.
15
What is the remainder when 57/((-15)/(-12) + -1) is divided by 33?
30
Let j = -40 - -71. Suppose 6*w = 5*w + 4. Suppose -11 = -l - 2*n - 0, 0 = l + w*n - 5. What is the remainder when j is divided by l?
14
Let n(c) = -2*c + 1. Suppose 3*z = 2*z - 20. Let u = z + 13. Calculate the remainder when n(u) is divided by 4.
3
Let i = -3 - -6. Let l(g) = g**2 - 8*g + 14. Let w be l(6). Let u = 3 + w. What is the remainder when u is divided by i?
2
Let w = -83 - -88. Suppose -2*m + w*m = 81. Calculate the remainder when 101 is divided by m.
20
Suppose -6*x = 46 - 82. What is the remainder when 52 is divided by x?
4
Suppose 0 = -4*w + c + 186, w - 146 = -2*w + 4*c. Calculate the remainder when 152 is divided by w.
14
Let q = 31 - -82. What is the remainder when q is divided by 59?
54
Suppose -4*b - 977 + 153 = -x, -3*x - 1013 = 5*b. Let i = b + 287. What is the remainder when i is divided by 12?
10
Suppose -2*j = -5*f + 22, -j = 4*f - 6*j - 21. What is the remainder when 109 is divided by -4*(-7)/f + 4?
10
Let h be ((-2)/3)/((-7)/(-21)). Suppose -156*u + 90 = -151*u. What is the remainder when u is divided by 3 + -1 - (h - 3)?
4
Let k = 459 - 330. Calculate the remainder when k is divided by 33.
30
Let o = 189 - 113. What is the remainder when 88 is divided by o?
12
Suppose c - 210 = -2*c. Suppose -2*v + 60 = -c. Suppose -221 = -18*h + 5*h. Calculate the remainder when v is divided by h.
14
Let l = -421 - -492. Calculate the remainder when 82 is divided by l.
11
Suppose 2*q - 4*u = 34, 12*u - 11*u + 5 = 0. What is the remainder when 685 is divided by q?
6
Let o(v) = v**2 + 12*v - 4. Let u(q) = -2*q**2 - 18*q + 6. Let z(a) = -8*o(a) - 5*u(a). What is the remainder when z(4) is divided by 6?
4
Calculate the remainder when 4545/27 - (-2)/(-6) is divided by 43.
39
Suppose 10 + 102 = 4*v. Let r = v + -17. Calculate the remainder when 20 is divided by r.
9
Calculate the remainder when ((2 + 4)/(-6)*43)/(-1) is divided by 3.
1
Suppose 4*n + 2*u + 12 - 64 = 0, 5*u = 5*n - 80. Let w = 0 + 3. Suppose -3*y + 37 = -w*d - 47, 5*y - 116 = -3*d. What is the remainder when y is divided by n?
11
Let t = -2 + 12. Let l(i) = 2*i + 94. What is the remainder when l(-31) is divided by 15*(-2 + 28/t)?
8
Let r(k) = k. Let o(s) = 87*s - 414. What is the remainder when o(5) is divided by r(8)?
5
Calculate the remainder when 424/(-2)*(0 + 17/(-68)) is divided by 5.
3
Suppose -214*n + 9 = -217*n - 3*f, 5*n + 5 = -3*f. What is the remainder when 41 is divided by n?
1
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