alculate the remainder when t(-16) is divided by r.
0
Let a be (-2)/(-4) - 1/(-2). Let t be -72 - ((-1)/a + -1). Let v = 109 + t. What is the remainder when v is divided by 14?
11
Calculate the remainder when (-6 - -10) + 2 + 218 is divided by 80.
64
Suppose 0 = -2*c + c + 4. Let t(b) = 4*b - 5. What is the remainder when 74 is divided by t(c)?
8
What is the remainder when 35 is divided by 3/(49/(-14)*(-9)/273)?
9
Let g(m) be the first derivative of -m**2 - 32*m - 9. Calculate the remainder when 54 is divided by g(-23).
12
Let h(p) = -4*p - 4. Let b be h(-3). Suppose -b*c + 422 = -226. What is the remainder when c is divided by 28?
25
Suppose -4*a + 0*a = 3*g - 20, 0 = -2*g - 4*a + 16. Suppose -5*w = -20, g*w = 4*o - o - 101. Let s = -126 - -140. What is the remainder when o is divided by s?
11
Suppose -6*f + 13 = -2*f + 5*n, -f + n = -10. Let g(r) = 5*r + 13. What is the remainder when 141 is divided by g(f)?
45
Suppose 5*u + 18 = -2, 2*u + 1 = g. Let z = -4 - g. Suppose -40 = -5*w - 5*p, 3*w - z*p = w - 4. Calculate the remainder when 6 is divided by w.
2
Let h(i) = 2 - 3*i**2 + i**2 + i**2 - 3 + 16*i. Let v = 34 + -21. Calculate the remainder when h(13) is divided by v.
12
Suppose -5*g + 5*u + 295 = 0, g - 6*u = -9*u + 47. Calculate the remainder when g is divided by 11.
1
Suppose 0 = 46*a - 21*a - 5300. What is the remainder when a is divided by 7?
2
Let l(g) = -6*g + 7. Let v(y) = -y. Let p(u) = -l(u) + 3*v(u). What is the remainder when 40 is divided by p(7)?
12
Let n(v) = 10*v + 69. What is the remainder when n(0) is divided by 6?
3
Let k(r) be the first derivative of r**3/3 - r**2/2 + 127*r + 41. Calculate the remainder when k(0) is divided by 16.
15
Suppose 34*t = 4062 - 1512. What is the remainder when t is divided by 13?
10
Let k(z) = 2*z + 15. Let i be ((-4)/6)/(5/(-3 - -48)). Calculate the remainder when 20 is divided by k(i).
2
Suppose 3*p + 30 = -42. Let s = p + 36. What is the remainder when 15 is divided by s?
3
Let x = 9167 - 8983. Let q = 75 + -44. Calculate the remainder when x is divided by q.
29
Let n be (50/(-10))/(1/(-2)). Let k = -6 + n. Suppose k*j = 6*j - 10. Calculate the remainder when 7 is divided by j.
2
Let c(x) = 625*x + 59. What is the remainder when c(3) is divided by 43?
42
Let m(b) = 36*b**3 + 9*b**2 - b - 5. Let v(g) = 73*g**3 + 19*g**2 - 2*g - 11. Let r(d) = 13*m(d) - 6*v(d). Calculate the remainder when r(2) is divided by 23.
21
Let j = -37 + 53. Suppose -5*a + a = -j, 0 = -5*i - 5*a + 50. What is the remainder when i is divided by 3?
0
Suppose 5*p = 2*p + 30. Calculate the remainder when 23 is divided by p.
3
Suppose 0*w + 6*w + 54 = 0. Let r = 11 + w. Suppose r*f - 44 = 10. Calculate the remainder when f is divided by 7.
6
Let o(m) = m**3 + 14*m**2 + 3*m - 58. What is the remainder when 271 is divided by o(-13)?
55
Let m = 4 - -29. What is the remainder when 361 is divided by m?
31
Let g = -5 + 15. Suppose 0 = h - 0*h - i + 196, -4*i = 5*h + 953. Let x = h + 212. Calculate the remainder when x is divided by g.
9
Let m = 7 + -5. Let x = -114 + 123. Calculate the remainder when 16/(m/(2/1)) is divided by x.
7
Suppose 8 = 2*o, 5*q - o - o - 42 = 0. Suppose 0 = 3*n + 4*b - 22, -5*b + q*b = 3*n - 40. Let t = n - 1. Calculate the remainder when 34 is divided by t.
7
Calculate the remainder when 2/(-4) + (-168)/(-16) is divided by (-7)/(-2) + (-11)/22.
1
Let j(w) = w**3 + 5*w**2 - 9*w - 6. Suppose 0 = 5*h + 31 - 1. Calculate the remainder when j(h) is divided by (9 + -4)/5*5.
2
Let t(h) = -3*h + 19. Let z be t(6). Suppose 5 = -n + 18. Calculate the remainder when 24 - (z - -1 - 1) is divided by n.
10
Let n = -120 + 123. Suppose 2*w - 28 = -5*s, 87 = 5*w + s + n*s. Calculate the remainder when 56 is divided by w.
18
Let r = 1826 + -1751. What is the remainder when r is divided by (-2)/(-4) - (-74)/4?
18
Let p be 1/((11/54)/11). Let c = 84 - p. Let n(u) = 12*u**2 - 5*u - 4. What is the remainder when n(-3) is divided by c?
29
Let c = 16 + -23. Let u(o) be the second derivative of o**5/20 + o**4/2 - 4*o**3/3 + 3*o**2 + 9*o. What is the remainder when 51 is divided by u(c)?
12
Let p(u) = u**3 - 13*u**2 + 45*u + 29. What is the remainder when 418 is divided by p(9)?
88
Suppose 2*h - 10 = -2*k, h - 3*k + 5*k = 2. What is the remainder when 56 is divided by h?
0
Let i(w) = 9*w - 3. Let h(x) = x**2 - 2*x + 4. Let c be h(0). Suppose z = -c*z + 40. Calculate the remainder when i(2) is divided by z.
7
Suppose 2*y - 175 = 113. Suppose -9*x + y = -45. What is the remainder when x is divided by 6?
3
Let k(d) = -3*d**2 + 4*d + 8. Let w be k(5). Let g = w - -89. What is the remainder when g is divided by 22?
20
Suppose 52*n = -d + 56*n + 45, -3*d - 3*n + 165 = 0. Calculate the remainder when 369 is divided by d.
51
Let s(d) = -22*d - 381. Calculate the remainder when 119 is divided by s(-18).
14
Let g be ((-365)/75 - -5) + (-806)/(-30). Let h = 3 + -3. Suppose h = -0*f + f, -2*f = -x + g. Calculate the remainder when x is divided by 6.
3
Suppose 0 = -m + 5*m - 156. Calculate the remainder when m is divided by (-297)/(-45) - 4/(-10).
4
Suppose -b + 5*b - 73 = 5*j, -3*b + j = -41. Let x = b - 8. Let t(a) = 2*a**3 - a**2 - 2. Calculate the remainder when t(2) is divided by x.
2
What is the remainder when 384 is divided by ((-1)/(-2))/(7/1358)?
93
Suppose -65*u - 5*l + 46 = -64*u, -4*u = -3*l - 161. Calculate the remainder when 405 is divided by u.
36
Let y = 756 + -702. Calculate the remainder when 169 is divided by y.
7
Suppose 3*h - 5*b - 45 = -0*h, 4*h = 3*b + 49. Let z(i) = i**2 - 9*i - 10. Let t be z(h). Suppose t - 34 = -2*r. What is the remainder when r is divided by 6?
5
Let g = -32 - -59. Let c be (6/4)/((-6)/40). Let n = 0 - c. What is the remainder when g is divided by n?
7
Suppose -5*a - 20 = 0, a = 5*g - 3*a - 46. Calculate the remainder when g is divided by (8 + (2 - 5))*1.
1
Suppose 3*q = -f + 11, 2*f + f - 4*q = 20. What is the remainder when 48 is divided by (0 - -1)/(f/136)?
14
Let p = -33 + 35. Suppose 58 = 2*d + 2*v + p*v, 10 = 2*v. What is the remainder when 29 is divided by d?
10
Suppose 0 = -c - 1 + 3. Suppose -13 = -2*r - 5, t + 2*r - 14 = 0. Calculate the remainder when t is divided by ((0 - -3) + c)*1.
1
Let y(v) = -7*v**3 - 9*v**2 - 5*v - 9. Let s(f) = 11*f**3 + 14*f**2 + 8*f + 14. Let q(l) = -5*s(l) - 8*y(l). What is the remainder when q(4) is divided by 25?
23
Let f = -1 - -4. Let s(c) = 7*c - 97. Let z be s(14). Let i = f + z. What is the remainder when 7 is divided by i?
3
Let d be 282 + 5 - (-3)/1. Suppose -13*l + 61 = -d. Calculate the remainder when l is divided by 7.
6
Let k = -34 - -110. Suppose 144 + k = 4*q. Calculate the remainder when q is divided by 29.
26
Let t(j) = -j + 22. What is the remainder when 54 is divided by t(6)?
6
Suppose 3*s + 4*g - 415 = 0, 15*s - 697 = 10*s - 4*g. What is the remainder when s is divided by 33?
9
Suppose -7*o + 701 = -1196. Calculate the remainder when o is divided by 85.
16
Suppose -2*n - 21 = -5*n. Suppose 11*q - 6*q - l = -103, q = 3*l - 15. Calculate the remainder when 33 is divided by 12/q + 130/n.
15
Let w(n) = 3*n**2 + 8*n - 9. Let k = -20 - -62. Calculate the remainder when w(-7) is divided by k.
40
Suppose -8 = 3*c + p - 171, -4*p - 37 = -c. What is the remainder when c is divided by 15?
8
Let d = -771 - -879. Suppose 2*w + t = 6*w - 149, -3*t = 3. What is the remainder when d is divided by w?
34
Let x(s) = -s + 1. Let z(a) = 4*a + 19. Let h(j) = 3*x(j) + z(j). Calculate the remainder when h(-13) is divided by 8/28 - 52/(-14).
1
Let o(g) = 10*g + 45. Calculate the remainder when 176 is divided by o(0).
41
Let g = 53 - 83. Calculate the remainder when 255 is divided by -1*((-86)/3)/((-20)/g).
40
Let x(y) be the first derivative of y**4/4 + 7*y**3/3 + y**2 - y + 2. Let t be x(-7). Let l = t - -22. What is the remainder when 27 is divided by l?
6
Let x = 64 - 195. Let q = -66 - x. What is the remainder when q is divided by 35?
30
Let l = -5 + 10. Suppose -8 = -l*d - 13. What is the remainder when 15 is divided by (12/10)/(d/(-5))?
3
Suppose 219 = 5*p + 4*g - 2*g, -3*p + 4*g = -121. Let h(u) = 2*u**2 - 367*u + 1807. Calculate the remainder when p is divided by h(5).
21
Suppose 8*c - 1260 = -12*c. What is the remainder when 64 is divided by c?
1
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