he remainder when z is divided by 8.
4
Suppose 2*n + 0 = 6. Suppose 3*z = 2*z + 2. What is the remainder when n is divided by z?
1
Let d be ((-2)/(-5))/((-1)/(-10)). Let s be 2/3*(-18)/(-4). Suppose 0 = -c - 4, -d*c = v + 1 - s. Calculate the remainder when 35 is divided by v.
17
Suppose 3*j + j + 161 = 5*c, 2*c = j + 62. Let w(f) = f**3 - 17*f**2 + f - 2. Calculate the remainder when c is divided by w(17).
14
Let q = -9 - -12. Suppose 4*j + 0*j - 36 = 0. What is the remainder when (3/(-6))/(q/(-150)) is divided by j?
7
Let x = -4 - -18. Suppose 3*p + x = 47. Calculate the remainder when 31 is divided by p.
9
Let z be 1*6 + (0 - 3). Suppose -t = -z*h + 79, -h = h + 4*t - 76. What is the remainder when h is divided by 10?
8
Let f = 77 - 77. Let m be (1/(-3) - 1)*-9. Let h = m - f. Calculate the remainder when 47 is divided by h.
11
Let h be (-2)/((8/20)/1). Let n = -6 + 16. Let k = h + n. Calculate the remainder when 14 is divided by k.
4
Let p be 2 - 1 - 5*-2. What is the remainder when -5 - -4 - p*-2 is divided by 11?
10
Suppose -3*r - 3*s + 252 = 0, -s - s + 6 = 0. Suppose -5*c - 101 = -4*z + 56, -5*c - r = -2*z. Let d = -8 - -28. Calculate the remainder when z is divided by d.
18
Suppose 2*b + 10 = -t, 2*t + 3 = 5*t - 5*b. What is the remainder when 6 is divided by 5/20 - 7/t?
0
What is the remainder when 59 is divided by ((-12)/(-16))/(2 - 165/84)?
17
Suppose -3*m - j = -51, -4*m - 17 = -5*m + 4*j. Suppose 0 = 4*q + q + 15. Calculate the remainder when m is divided by 9 + 6/q + 2.
8
Suppose 7 = r - 3*l + 8*l, 0 = -l. What is the remainder when 12 is divided by r?
5
Suppose -164 - 118 = -6*a. Calculate the remainder when a is divided by 10.
7
Let c(n) be the third derivative of -n**6/120 - n**5/30 + 5*n**4/24 + 2*n**3/3 + n**2. Calculate the remainder when c(-4) is divided by (3 - (9/2 + -3))*6.
7
Suppose 4*k = 5*t + 60, 2*t = -5*k + 6*t + 66. What is the remainder when 118 is divided by k?
8
What is the remainder when (-10 - -7) + (98 - -2) is divided by 20?
17
Let g(m) = -m**2 - 4*m + 3. Suppose -2*i = -4*i + 24. Let r = i - 8. What is the remainder when r is divided by g(-4)?
1
Suppose 9*s - 651 = 177. Calculate the remainder when s is divided by 47.
45
Let j(x) = -6 + x + 13 + 11. What is the remainder when 27 is divided by j(-8)?
7
Let d(z) = 6*z**2 - 24*z + 4. Suppose 3*v = -2 - 4, -5*k + 47 = -v. What is the remainder when d(5) is divided by k?
7
Suppose 0*d = 5*y - d - 180, 0 = y - 4*d - 55. Suppose 0 = i - y + 9. What is the remainder when i is divided by 7?
5
Let g be 267/21 + (-10)/(-35). Let y(o) = 3*o - 12. Calculate the remainder when y(g) is divided by 7.
6
Suppose h + 35 = 4*t, 3*t + 4*h + 3 = 15. Calculate the remainder when t is divided by 4.
0
Let l = 7 + -7. Suppose 0 = 5*n - l - 10. What is the remainder when n is divided by 6/15 + (-16)/(-10)?
0
Suppose 0*m + 2*i - 44 = -5*m, 4*i + 12 = 0. Calculate the remainder when m is divided by (1 - 6/(-3))*2.
4
Let z(g) = -g**2 + 16*g - 5. Let u = -10 - -16. What is the remainder when z(14) is divided by u?
5
Let k = -83 - -91. Calculate the remainder when k is divided by 10/(-4)*(-2)/1.
3
What is the remainder when (-142)/(-2) - (-7 - -11) is divided by 35?
32
Suppose 4*m + u - 84 = 0, -m + 0*m - u = -21. What is the remainder when 62 is divided by m?
20
Suppose 0 = -n + 4*n - 9. Suppose n*v - 9 = 2*v. Calculate the remainder when v is divided by 5.
4
Suppose 5*a + 4*h - 40 = 3*a, h + 56 = 5*a. What is the remainder when 46 is divided by a?
10
Let o = 19 + -5. What is the remainder when 25/(4 + 0 + -3) is divided by o?
11
Suppose 0 = -2*h - 1 + 31. Suppose -2*f + 2 = -0, 0 = 4*y + f - 101. Suppose 2*v - 13 = -4*n + v, 3*v = 4*n - y. Calculate the remainder when h is divided by n.
3
Let a = -23 - -24. Calculate the remainder when 1 is divided by a.
0
Suppose 2*d + 2 + 2 = 0. Calculate the remainder when 9 is divided by d - (3 + -8 + -1).
1
Let q = 3 + 6. What is the remainder when 70 is divided by q?
7
Suppose -2*z = -5*z + 63. What is the remainder when 61 is divided by z?
19
Let h(a) = a + 15. Let z = 1 - 5. Let j = z - -14. What is the remainder when h(13) is divided by j?
8
Suppose 3*v - 305 = -122. Suppose 10 = -n - 4*n, n = 5*w - 107. Calculate the remainder when v is divided by w.
19
Suppose -z - 2 - 1 = -d, -5*d + 15 = -z. Let p(s) = s**2 + 4*s - 8. What is the remainder when p(-6) is divided by d?
1
Suppose 4*m - 24 = 3*t, 5*m + 3*t = -0*t + 30. Suppose -2*c - 8 = 2*c. Calculate the remainder when m*((-9)/c + -3) is divided by 6.
3
What is the remainder when 13 is divided by (-12)/(-30)*(0 - -20)?
5
Suppose 4*a = -3*c + 68, 3*a + c - 4*c - 30 = 0. What is the remainder when 21 is divided by a?
7
Let m(q) = 2*q - 7. Let j be m(5). Calculate the remainder when 38 is divided by (1 - -22 - j)/2.
8
Let k = 13 + -8. Suppose 0 = -k*t + 71 - 16. What is the remainder when 43 is divided by t?
10
Let d(s) = -3*s**2 - 6*s + 0*s**2 + 2*s**2. Let r be d(-5). Suppose -5*p + 145 = -2*b - 3*b, 0 = -2*p - r*b + 79. What is the remainder when p is divided by 11?
10
Let a(l) = 28*l**3 - l**2. Let w = 25 + -15. What is the remainder when a(1) is divided by w?
7
Suppose -s + 70 = 4*t - t, 0 = 5*t + 5*s - 120. Suppose 91 = m + 1. Calculate the remainder when m is divided by t.
21
Suppose -5*u = -22 - 13. Calculate the remainder when 21 is divided by u.
0
Suppose 6*i = -2*u + 3*i + 43, 0 = -5*u - i + 88. What is the remainder when u is divided by 6?
5
Let n = 25 - 16. What is the remainder when 34 is divided by n?
7
Let u = 61 - 21. Calculate the remainder when u is divided by 21.
19
Suppose -4*b = -5*c + 30 + 38, 0 = -2*c - b + 35. Let s = -19 + 28. What is the remainder when c is divided by s?
7
Suppose 4*p = -115 - 25. Calculate the remainder when -1 - (p - (3 - 2)) is divided by 12.
11
Calculate the remainder when 12*-6*(-15)/27 is divided by 21.
19
Let m be 170/4 + 4/(-8). Let r = m - 20. Calculate the remainder when r is divided by 3/(-9) - 111/(-9).
10
Suppose -87 = -12*o + 381. Calculate the remainder when o is divided by 8.
7
Suppose 0 = 7*a - 266 - 224. Calculate the remainder when a is divided by 25.
20
Suppose 43 = -c + 51. Calculate the remainder when 78 is divided by c.
6
Suppose -p = -2*h - 13, -h + 8 - 64 = -5*p. Calculate the remainder when 21 is divided by p.
10
Suppose h + 9 = 2*t, h - 10 = -4*t + 5. Let i(v) = -v**3 - 3 + v**2 - 3*v**2 + 3*v + 6. Calculate the remainder when t is divided by i(-3).
1
Let i(d) = -d**3 - 5*d**2 + 2*d + 5. What is the remainder when i(-7) is divided by 13?
11
Let q(z) = -2*z**2 - 5*z + 6. Let u be q(-5). Let g = -12 - u. Calculate the remainder when 12 is divided by g.
5
Let i(h) = 9*h**2 + 2*h**3 - h**3 - 9*h + 11 + 3. Calculate the remainder when 5 is divided by i(-10).
1
Calculate the remainder when 81 is divided by (-13 + 41)*(-1)/(-1).
25
Suppose 0 = 2*f - 31 + 3. Let h be 6*-4*3/(-12). What is the remainder when (5 + 1)*26/h is divided by f?
12
Let t(q) = -q**3 + 3*q**2 + 2*q. Let d be t(5). Let m be d - -1 - 4/(-4). Let a = -17 - m. Calculate the remainder when a is divided by 8.
5
Let c = 76 + 1. Calculate the remainder when c is divided by 27.
23
Suppose a - 5 = 3. Calculate the remainder when 126/a + (-6)/8 is divided by 9.
6
Let h(j) = j**2 - j - 4. Let k be h(-3). Suppose -4*z + 4 = -k. Suppose t - 104 = -z*t. What is the remainder when t is divided by 14?
12
Let k(l) = l**3 + 7*l**2 - 10*l + 3. Calculate the remainder when (-3)/((-6)/(-4)) + (75 - -2) is divided by k(-8).
18
Let h = -6 + 10. Suppose -4*a + 24 = -h*r, -r = 2*a - 12 + 3. What is the remainder when a is divided by 2?
1
Suppose -6*j - 5 = -5*x - j, -4*x + 2*j = -8. Suppose -57 = -x*s - 2*q, 5*s - 2*q - 95 = -4*q. Calculate the remainder when 73 is divided by s.
16
What is the remainder when (14/3)/((-19)/(-171)) is divided by 22?
20
Suppose 5*i - 8 = 82. What is the remainder when i is divided by 16?
2
Suppose 40 = 5*r + 10. Let b = -1 + r. Calculate the remainder when 14 is divided by b.
4
Suppose 54 - 18 = 4*v. Calculate the remainder when 3*3/v - -19 is divided by 11.
9
Let b be 3/15 + 458/10. Suppose -s + 3*s = b. Calculate the remainder when s is divided by 6.
5
Let l(u) = 2*u**2 - 5*u - 23. Let z = 1 + 4. What is the remainder when z is divided by l(5)?
1
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