 = 11 + -8. Suppose -5*n - 5*r - 17 = -8*n, -d*r - 12 = 0. Let f = 0 - n. What is the remainder when 2 is divided by f?
0
Suppose 30*l - 308 = 19*l. Suppose -3*u - 60 = -4*z + 152, 159 = 3*z - 5*u. Calculate the remainder when z is divided by l.
25
Suppose 16 = 3*i - h, -6*h = -2*h + 16. Suppose 2*p = -2*p + 68. Calculate the remainder when p is divided by 2/(i - 14/4).
1
Let r be 18/30 - (53/5 + 0). Let x = r + 35. What is the remainder when x is divided by 7?
4
Calculate the remainder when 20/8*(-30)/(-3) is divided by ((-68)/136)/((-2)/56).
11
Suppose -4*i = -j + 36, -2*j - j + 48 = 3*i. Let a = j - -1. Calculate the remainder when a is divided by 12.
9
Let z(b) = -b**3 + 7*b**2 + 10*b - 30. What is the remainder when z(7) is divided by 16?
8
Suppose 3*a + 2*x + 14 = 0, 4*a - x = 8*a + 12. Let r = -317 + 325. Calculate the remainder when r is divided by 5 + (-3)/(a - -5).
0
Let v = 2 + 0. Suppose 27 = v*s + s. Suppose 8*j - 3*j = -2*y + 163, -4*j - 2*y + 130 = 0. Calculate the remainder when j is divided by s.
6
Let k(v) = -v**3 + 4*v**2 - 4*v + 5. Let x be k(4). What is the remainder when (-2)/1 + 39 + x + 12 is divided by 8?
6
Let v be (-3 - 2 - -4)*-2. Calculate the remainder when (0 + v)*(-345)/(-30) is divided by 6.
5
Let h = 340 - 182. Suppose -h = 10*p - 478. What is the remainder when 127 is divided by p?
31
Suppose 0 = -16*k + 15*k + 75. Suppose 15 = -5*c, z + 0*c = 2*c + 26. Calculate the remainder when k is divided by z.
15
What is the remainder when 33/2*-18*(-2 - -1) is divided by 18?
9
Suppose 7*m - 70 = 14. Calculate the remainder when 24/(-108) + (-317)/(-9) is divided by m.
11
Let b(u) = 2*u**2 + 2 + 3 + u - 3. Let t = 15 + -10. Calculate the remainder when b(-2) is divided by t.
3
Let s = 1003 - 971. Let w = -5 - -10. Calculate the remainder when s is divided by w.
2
Let y(m) = m**2 + 50*m + 288. What is the remainder when 234 is divided by y(-45)?
45
Calculate the remainder when (-14)/(-35) - (-2506)/10 is divided by 12.
11
Let g = 10 - -44. Calculate the remainder when g is divided by -1*(-2*3/2 - 8).
10
Suppose 18 = -2*s - 2*f + 58, -5*s + 96 = f. What is the remainder when 360 is divided by s?
18
Let r(n) = 33*n + n + 2 + 4. What is the remainder when r(1) is divided by 11?
7
Let r = -363 - -391. What is the remainder when r is divided by 12?
4
Suppose 2*d = -25 + 37. Suppose d*f = -4*f + 290. What is the remainder when 142 is divided by f?
26
Suppose -16 = -2*d + 3*b - 7*b, 2*d - 2*b - 10 = 0. Suppose 0 = -d*h - h + 1043. Calculate the remainder when h is divided by 30.
29
Suppose 383 = 196*c - 195*c. What is the remainder when c is divided by 66?
53
Suppose -9*m + 345 = -4*m. Let i = m + -34. What is the remainder when i is divided by 9?
8
Suppose -2*w + 129 = -5*w. Let m = -10 - w. Calculate the remainder when 65 is divided by m.
32
Let x be 3/15 - (-48)/10. Suppose -2*v + 7*v + 250 = 5*r, v + 34 = x*r. Let z = 76 + v. What is the remainder when z is divided by 12?
10
Calculate the remainder when 56 is divided by 3/(3 + -6) + 21 + -5.
11
Let z(s) = -s**3 + s**2 + s - 1. Let i(j) = 5*j**3 + 9*j**2 - 5*j + 17. Let u(l) = i(l) + 6*z(l). What is the remainder when 127 is divided by u(15)?
23
Suppose -18 = 5*q - 48. Suppose s - 11 = q. Calculate the remainder when 130/4 + (-2)/(-4) is divided by s.
16
Let v = 249 + -177. Let h = 104 - v. What is the remainder when 94 is divided by h?
30
Let n(u) be the second derivative of -u**5/20 + u**4/2 + u**3/2 - 17*u**2/2 - 28*u. Calculate the remainder when 3 is divided by n(6).
0
Let w(t) = -6*t - 6. Let g(h) = h + 1. Let l(p) = 10*g(p) + 2*w(p). Calculate the remainder when 123 is divided by l(-8).
11
Let a(r) be the second derivative of -7*r**3/3 + r**2 + 9*r. What is the remainder when a(-5) is divided by 19?
15
Let s = -282 - -320. What is the remainder when 42 is divided by s?
4
Let n(a) = -166*a**3 - a**2 - 3*a - 1. Calculate the remainder when n(-1) is divided by 97.
70
Suppose -5*v = -g - 65, 4*g + 65 = 4*v - 3. Suppose x - 29 = 27. Suppose -4*f - x = -5*j + 157, -123 = -3*j + 4*f. What is the remainder when j is divided by v?
9
Let f = 147 - 126. Let o(t) = -t**3 - t**2 + 2*t - 4. Let q be o(-5). Suppose 3*p - q = 34. What is the remainder when p is divided by f?
19
Let n = -188 + 215. Calculate the remainder when n is divided by 22.
5
Suppose 8*m + 3*z - 160 = 3*m, -3*z - 85 = -2*m. What is the remainder when m is divided by 15?
5
Suppose 2*w = -5*w + 504. Let k = 76 - w. What is the remainder when k is divided by 3?
1
Suppose 5*j + 3*x = 338, 3*x - 58 = -13*j + 12*j. What is the remainder when j is divided by 39?
31
Suppose 0 = r - 4 - 28. Let g(t) = t**3 - 4*t**2 + 8*t + 5. Suppose -9*z + 76 = 22. Calculate the remainder when g(z) is divided by r.
29
Let y = 4456 - 4441. Calculate the remainder when 46 + 2/(0 + -1) is divided by y.
14
Let q = 293 - 194. Suppose 2*r = -4*m + 112, -5*m - 3*r + 43 = -q. What is the remainder when 38 is divided by m?
12
Suppose 14*z = 3*x + 17*z - 114, 5*z = 5*x - 210. Calculate the remainder when x is divided by 40.
0
Let v be 2/5 + (-123)/(-5). Suppose u - 4*x = 15 + 14, u - v = 5*x. What is the remainder when u is divided by 12?
9
Suppose 2*y = -y + 9. Suppose 4*x - 14 = y*n, 2*n = -x - x + 14. Suppose -x*b + 33 = -37. Calculate the remainder when 26 is divided by b.
12
Suppose -2*s + 292 + 182 = 0. Calculate the remainder when s is divided by 45.
12
Let w = 76 + -332. Let m = -133 - w. Calculate the remainder when m is divided by 31.
30
Suppose 40 = 5*n - 90. Let q = n + -1. Calculate the remainder when 95 is divided by q.
20
Let v(a) = 2*a**3 - 5*a**2 + 2*a + 2. What is the remainder when 47 is divided by v(3)?
13
Let f = 1281 + -1270. What is the remainder when 38 is divided by f?
5
Suppose 961 = 10*r - 9. What is the remainder when r is divided by 45?
7
Let s(t) be the second derivative of t**3/3 + 38*t**2 - 27*t. Let d = 14 + -7. Calculate the remainder when s(-25) is divided by d.
5
Let j be (-2)/(-6) + 44/3. Let x be (12 - 14)*(2 - 4). Suppose -b + j = x*b. What is the remainder when b is divided by 3?
0
Suppose 0 = 36*u - 31*u. Suppose -4*b + 1 + 38 = 3*x, u = 2*x + 2*b - 28. Calculate the remainder when (32 + 0)/(0 + 1) is divided by x.
15
Suppose 1 = 2*l + 3*w + 32, -2*l - 25 = -3*w. Let s = -37 + 58. Let a = s + l. Calculate the remainder when 13 is divided by a.
6
Suppose -75 + 15 = 4*d. Suppose -f = -4*f + 105. What is the remainder when f is divided by (d/3 - -4) + 10?
8
Let t = 22 + -11. Suppose -s - 4*k = -4*s - 149, s + 53 = -2*k. Let b = -31 - s. Calculate the remainder when b is divided by t.
9
Let j = -271 - -325. What is the remainder when 150 is divided by j?
42
Suppose 12*u = -27*u + 273. Calculate the remainder when 92 is divided by u.
1
Suppose 30*g - 95 = 9685. What is the remainder when g is divided by 105?
11
Let i be 5/(-1)*3/(-5). Suppose -87 = -i*o - 12. Calculate the remainder when 4 is divided by o/10*6/5.
1
Suppose 3*b - 3*r - 8 = b, 5*b = r + 20. Suppose -k - b = -8. Suppose 3 = -k*n - 4*i - 9, 5*n - 5*i = 35. What is the remainder when 5 is divided by n?
1
Let g be 4/(-14) + 235/(-35). Let t = g - -12. Suppose -2*k - 2 = -m - t*k, 2*m + 5*k - 8 = 0. What is the remainder when 26 is divided by m?
12
Suppose -2*z - 10 = -5*a + 19, 0 = -3*z + 9. Suppose -2*j + 5*i + 39 = j, -4*j + 2*i = -52. Let f = j - 8. Calculate the remainder when a is divided by f.
2
What is the remainder when (-3017)/(-21)*27/9 is divided by 36?
35
Calculate the remainder when 548 is divided by (26/39)/((-4)/6)*-22.
20
Let v = 4656 - 4653. Let k = 5 - -6. What is the remainder when k is divided by v?
2
Let v be (8/12)/1*-3*148. Let f = v + 418. Calculate the remainder when f is divided by 31.
29
Suppose x + 11 = j, -3*x - 5*j = -2 + 27. Let f(m) = -2*m**2 - 17*m - 11. What is the remainder when (-4)/x - 746/(-10) is divided by f(-6)?
18
Suppose -5*c - 164 = -2*p, -3*c + 4*c = 4*p - 328. Calculate the remainder when p is divided by 37.
8
Suppose 5*x - 3*w = -0*w - 86, -82 = 4*x + 2*w. Let s(m) = m - 51. Let y be s(0). Let u = x - y. What is the remainder when u is divided by 9?
5
Suppose -3*r + 2*q + 0*q = 49, -3*r + 4*q = 47. Let b(l) = 8*l**3. Let k be b(-1). Let m = k - r. What is the remainder when 26 is divided by m?
8
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