ivided by 17.
13
Let v(o) = 5*o**3 + o**2 - 4*o + 4. What is the remainder when v(2) is divided by 14?
12
Let a(c) = -c**3 + 24*c**2 + 26*c - 18. What is the remainder when 14 is divided by a(25)?
0
Suppose 2*k - 4*k + t + 10 = 0, 10 = -5*t. Suppose 0 = -k*n + 21 + 35. What is the remainder when 40 is divided by n?
12
What is the remainder when 60 is divided by ((-4)/(-8))/(6/84)?
4
Let i be 0 - -4 - 4/(-2). Calculate the remainder when (-807)/(-9) + 2/i is divided by 23.
21
Suppose -5*j + 5 + 10 = 0. What is the remainder when 17 is divided by (-1)/j + 38/6?
5
Suppose 3*s = -d + 3*d + 12, 3*d - 3*s = -12. Let m = d - 0. Suppose w - 6 = -m*w. What is the remainder when w is divided by 4?
2
Let t(o) = -o**3 - 18*o**2 - 24*o - 39. What is the remainder when t(-17) is divided by 14?
10
Suppose -l + 22 = l. Let q(m) = 19*m - 101. Calculate the remainder when q(7) is divided by l.
10
Let w = -23 - -58. Let i(k) = -k**2 + 8*k + 5. What is the remainder when w is divided by i(7)?
11
Let h be (-1 + 6)*(-12)/20. Calculate the remainder when 78 - h/(-2)*2 is divided by 26.
23
Let p(l) = -3*l**2 + l**2 - l**3 - l - 15*l**3. What is the remainder when 44 is divided by p(-1)?
14
Suppose z + 13 - 41 = 2*s, -2*s = -6. What is the remainder when z is divided by 12?
10
Let f = 3 - 0. Suppose 4*k = 17 + f. Suppose 2*z = 10, 5*p - 106 = k*z - 1. What is the remainder when 77 is divided by p?
25
Let q(g) = -g**2 + 19*g + 43. Calculate the remainder when q(18) is divided by 31.
30
Suppose 2*a = x + 8, x - 3*a + 5 = -0. What is the remainder when 3 + -5 + -1 - x is divided by 6?
5
Suppose 3 + 1 = -n, c = n + 12. Suppose -2*x + 3*x - c = 3*h, 5*x - 3*h = 16. Calculate the remainder when 34 + 2 + -1*x is divided by 12.
10
Let r = -11 + 18. What is the remainder when 13 is divided by r?
6
Let i(x) = 2*x**2 - x + 5. Let l = 13 - 2. What is the remainder when i(-4) is divided by l?
8
Suppose 0 = -5*s, 2*f - s = s + 8. Suppose 0 = -0*b + 2*b - 8. Suppose -3*q - 3 = -b*q. What is the remainder when f is divided by q?
1
Let b(a) = a**3 - 6*a**2 + 6*a + 2. Let k be b(5). Suppose 3*d = -k + 25. What is the remainder when 11 is divided by d?
5
Let d be (-6)/10 - 16/40. What is the remainder when 27 is divided by ((-2)/4)/(d/14)?
6
Suppose 14 = h - 21. Calculate the remainder when 104 is divided by h.
34
Let x = -156 - -161. Suppose 21 = 5*q - 24. Calculate the remainder when q is divided by x.
4
Let j(w) be the second derivative of -w**4/12 - 7*w**3/6 + 7*w**2/2 + 3*w. Calculate the remainder when 51 is divided by j(-6).
12
Let i(v) = v**3 - 3*v**2 - 4*v + 1. Calculate the remainder when i(5) is divided by 16.
15
Suppose 0 = 3*u + 5*v - 51, -5*u + 47 + 28 = 5*v. Calculate the remainder when u is divided by 8 + (0 - 0 - 1).
5
Let f(x) = x**3 - 3*x**2 - 6*x + 5. Let d be f(4). Calculate the remainder when (-6)/(-8) + d/(-12) is divided by 1.
0
Let b = 145 + -100. What is the remainder when b is divided by 24?
21
Suppose -w + 25 = -11. Let m = 43 - 63. Calculate the remainder when w is divided by -1*(2 + (m - 1)).
17
Suppose -3*s - 3*d = 3, -5*d + 4 = -2*s + 23. Suppose -s*k = -22 - 10. What is the remainder when 31 is divided by k?
15
Suppose -48 = -l - 2*l. Let s(a) = 15*a**2 + 3*a - 3. What is the remainder when s(2) is divided by l?
15
Suppose -3*f + 63 = 5*q, -4*f = -5*q - 3*f + 79. Calculate the remainder when (8/(-10))/((-3)/q) is divided by 2.
0
Let g(a) = -3*a - 13. Suppose i - 13 = -w + 3*w, 0 = 2*w + 2. Let h be (2 - i)/3 - 7. Calculate the remainder when g(h) is divided by 9.
8
Calculate the remainder when 81 is divided by ((-6)/(-4))/((-15)/(-140)).
11
Let c(i) = 7*i + 6. Let a = 23 + -6. What is the remainder when c(6) is divided by a?
14
Let l(z) = 5*z**2 + 2*z - 2. Let r = 78 + -35. Let t = r - 2. Calculate the remainder when t is divided by l(-2).
13
Let m(r) = r**3 - 10*r**2 + 12*r + 5. What is the remainder when 253 is divided by m(9)?
29
Suppose 2*r = 3*m - 2*m + 4, 0 = 4*r - 3*m - 10. Let w = 13 - r. Calculate the remainder when 23 is divided by w.
11
What is the remainder when 16/4 - -72 - 2 is divided by 19?
17
Let k = -6 + 9. Suppose 3*h + s = 6*s + 38, -k*s - 10 = -h. Let d = h - -7. Calculate the remainder when 68 is divided by d.
22
Calculate the remainder when ((-3)/(-6) + 1)*14 is divided by 8.
5
Let t be 5/5*(1 + 4). Let g = 21 - t. What is the remainder when 47 is divided by g?
15
Let q(h) = -h + 4. Let v be q(8). Let a = -2 - v. Suppose -a*n = -2*j - 92, 4*n + 4*j - 138 = n. What is the remainder when n is divided by 24?
22
Let i = -29 + 46. Let n be 3 - (0/2)/(-1). Suppose -n*z + 4*z - i = 0. Calculate the remainder when 32 is divided by z.
15
Let x(r) = -r**2 - 14*r. Suppose 4*v + 0*v - 20 = 0. Suppose 2*g + 4*a = 22, -g + v + 9 = a. Calculate the remainder when x(-11) is divided by g.
16
Let u(l) = l**2 + 8*l - 19. Let w be u(-10). Calculate the remainder when 105 is divided by (w/2)/((-15)/(-810)).
24
Let m(n) = 3*n**3 - n**2 - 3*n - 3. Let u be m(3). Suppose -u = -5*l - 5. What is the remainder when l is divided by 4?
3
Suppose 4*a = -a - 20. Let c(x) = x**2 - 2*x - 6. Let l(p) = -p + 69. Calculate the remainder when l(0) is divided by c(a).
15
Suppose 175 = 5*f - 3*j, 0 = -f - j + 3*j + 42. Suppose -4*q - 3*t = -t - 52, 4*q + t = 48. What is the remainder when f is divided by q?
10
Let g be 5/(15/(-24)) + -1. What is the remainder when 94 is divided by g*((-64)/(-6))/(-4)?
22
Let s(h) = -12*h**3 - h - 1. Let b(u) = -u. Let y be b(-3). Suppose 4*l = 2*j + 2*l + 6, y*j - 5*l + 13 = 0. What is the remainder when 34 is divided by s(j)?
10
Suppose 0*f + 39 = 3*f + x, 2*f = 5*x + 9. Let s(b) = -b**3 - 6*b**2 + 5*b + 9. What is the remainder when s(-7) is divided by f?
11
Suppose 0 = 2*o - 10, 4*i - 5*i = -2*o + 4. Let y(u) = -15*u - 5. Calculate the remainder when y(-1) is divided by i.
4
Suppose -8 = b - 25. Let g = 13 - 7. What is the remainder when b is divided by g?
5
Suppose 0*i - 654 = -5*f + i, -i = 5*f - 656. Suppose 4*o = 4*t + 89 + f, 3*o + 315 = -5*t. Calculate the remainder when 3/((-9)/t) + -1 is divided by 10.
9
Let u = 15 + -8. Calculate the remainder when u is divided by 2.
1
Let m(k) = k**3 + k**2 + 3. Let u be m(0). Suppose -5*z - u = -8. What is the remainder when 1 is divided by z + -1 + 0 + 1?
0
Suppose 3*v + 2*p = 7*v - 16, -p = 0. Let g = 1 + v. Calculate the remainder when 86/6 + 1/(-3) is divided by g.
4
Let i = -68 + 139. What is the remainder when i is divided by 20?
11
Suppose 5*g - 5*a = 55, 4*a + 21 + 14 = 3*g. What is the remainder when 16 is divided by g?
7
Let v(c) be the third derivative of c**5/60 + c**4/4 + 2*c**3/3 - 3*c**2. Let a be v(-7). Let w = -10 + a. What is the remainder when 1 is divided by w?
0
Let a(s) = -s**2 + s**2 - 4*s + 5 + 2*s**2. Calculate the remainder when a(-4) is divided by 18.
17
What is the remainder when 98 is divided by (10/4)/(10/100)?
23
Let t(k) = k**2 - 5. Calculate the remainder when 79 is divided by t(5).
19
Let s(b) = -b**2 + 14*b + 9. What is the remainder when s(12) is divided by 9?
6
Let a(k) = k**2 - 9*k - 32. Let b be -2 + 0 + 1 - -13. Suppose -12 = -4*c + b. Calculate the remainder when c is divided by a(12).
2
Let d = 21 + 19. What is the remainder when d is divided by 11?
7
Suppose 2*b - 260 = -5*v - 38, 2*v - 80 = -3*b. What is the remainder when 137 is divided by v?
45
Let k be (5 + 17)/((-1)/(-1)). Calculate the remainder when k/(-77) + 256/14 is divided by 5.
3
Let x(i) = i**2 + 4*i + 4. What is the remainder when x(-5) is divided by 6?
3
Let f be 2/(-4) + (-107)/(-2). Suppose o + f = 7*c - 2*c, 0 = 5*o - 10. Let a = 7 - 1. What is the remainder when c is divided by a?
5
Suppose -7*i + 976 = -403. What is the remainder when i is divided by 22?
21
Suppose o = -0*o + 9. Let f(a) = 72*a**2 - 11*a - 8. Let l(h) = 24*h**2 - 4*h - 3. Let s(k) = 3*f(k) - 8*l(k). What is the remainder when s(-1) is divided by o?
7
Suppose -2 = -d - 1, -286 = -4*q - 2*d. Calculate the remainder when q is divided by 18.
17
Suppose 606 = 14*w - 374. Calculate the remainder when w is divided by 24.
22
Let g(x) = 15*x**2 - 2*x + 3. Calculate the remainder when g(2) is divided by 10/(-12) - (-231)/18.
11
Let z(t) = -2*t + 17. Calculate the remainder when z(4) is divided by (-2)/(1 - 7/5).
4
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