) be the third derivative of x**6/120 + 11*x**5/60 - 11*x**4/24 + 8*x**3/3 - 5*x**2. What is the remainder when 5 is divided by q(-12)?
1
Let b(c) = -2*c**3 - 5*c**2 + 12*c + 4. Suppose 1 = d - 5*f + 8, 0 = -3*d + 4*f + 34. What is the remainder when b(-5) is divided by d?
15
Let l(d) = -d**2 + 7*d - 10. Calculate the remainder when (9 + -3)*(-2)/(-4) is divided by l(4).
1
Suppose k - j = 4*k - 11, 2*k = 3*j. Suppose k*d + 4 = -5. What is the remainder when 37 is divided by 2/d*234/(-12)?
11
Suppose y + 2*d + 4 = 0, -4*y - 4*d - 12 + 4 = 0. Suppose 4*s - 47 = -j, y = -8*j + 3*j - 25. What is the remainder when s is divided by 7?
6
Suppose -9 = -4*b + 63. Calculate the remainder when 26 is divided by b/45 + (-73)/(-5).
11
Let d(w) = w + 7. Calculate the remainder when 88 is divided by d(12).
12
Suppose 0*p + 9 = 2*p + v, 4*v + 3 = 5*p. Let w = p + 22. What is the remainder when 97 is divided by w?
22
Suppose -2*h - 2*h + 28 = 4*v, 0 = -5*h + 5*v - 5. Let x = h + 7. Let o = 20 - x. Calculate the remainder when 18 is divided by o.
8
Suppose 3*s + 330 = 3*n, -2*s = 2*n - 244 + 20. What is the remainder when n is divided by 28?
27
Suppose -2 = 2*i, h - i = 1 + 2. Suppose -3*f - 1 = -3*c - 13, -1 = -h*f - 5*c. Let q = 8 + -6. Calculate the remainder when f is divided by q.
1
Let f = -15 - -36. Calculate the remainder when f is divided by (35/25 + -2)*-20.
9
Let f(k) = k**2 - 3*k + 2. What is the remainder when f(4) is divided by 2 + (1 - 2) + 1?
0
Let z(k) be the second derivative of k**5/20 - k**4/3 + 5*k**3/6 + k**2/2 + 4*k. Calculate the remainder when z(4) is divided by 12.
9
Let n = 5 - 4. What is the remainder when 13 is divided by n?
0
Let f be ((-3)/(-9))/((-3)/(-27)). Suppose -3*u + 4*i = -u - 48, 0 = -3*u + f*i + 69. What is the remainder when 42 is divided by u?
20
Suppose 5*r + 74 = -2*k + 3*k, 3*k = -2*r + 273. Suppose -3*z + 71 = 3*v - 31, -4*v = 3*z - 106. What is the remainder when k is divided by z?
29
Suppose 5*y - 4*q - 392 = 0, -3*y + 230 = -4*q - q. Suppose 3*a = -a + y. Let j(l) = 3*l**3 - 4*l**2 + 3*l + 4. What is the remainder when j(3) is divided by a?
18
Let x(n) = -2*n - 11. Let m = -40 + 73. Calculate the remainder when m is divided by x(-10).
6
Suppose -23 = 2*t - 3*t. Calculate the remainder when t is divided by 10.
3
Let o(j) = j**2 + 4*j + 5. Let p be (-6)/(-21) + (-60)/14. Let f be o(p). Suppose -f*t + 80 = -0*t. Calculate the remainder when t is divided by 6.
4
Calculate the remainder when (3 - 26)*2*1/(-2) is divided by 6.
5
Let j = 15 + 2. What is the remainder when j is divided by 7?
3
Suppose 0 = 3*f - 229 - 41. Calculate the remainder when f is divided by 31.
28
Let v be (-3)/(-6)*(5 + 1). Suppose -v*b + 2 = -1. Calculate the remainder when b/2 + (-6)/(-4) is divided by 1.
0
What is the remainder when (-4)/(-6) - 1 - 1160/(-15) is divided by 20?
17
Let a(c) = -c - 9. Let x be a(-6). What is the remainder when 29 is divided by 9/x + 1 + 10?
5
Let s be (5/10)/((-1)/(-2)). Let i = -3 + s. Let x(y) = -7*y + 1. What is the remainder when 29 is divided by x(i)?
14
Suppose 2*h - 3*h + 4 = 0, -5*q = -h - 96. What is the remainder when 53 is divided by q?
13
Suppose 4*h - h = 9. Let j = h + -2. Let l = j + 11. Calculate the remainder when 21 is divided by l.
9
Let z(t) = -t**2 - 11*t + 15. What is the remainder when 40 is divided by z(-11)?
10
Suppose 6*m - 719 + 215 = 0. What is the remainder when m is divided by 15?
9
Suppose 0 = 2*c - 17 + 5. Let m be 5/(-2)*(c + 2). Let z = 1 - m. What is the remainder when z is divided by 12?
9
Suppose 0*t = -5*d + t - 26, -4*t = 5*d + 46. Calculate the remainder when ((-122)/d)/(2/6) is divided by 16.
13
Let b(j) = -23*j - 5. Let l be b(-4). Suppose 0 = -5*o - 3*p + 116, 0 = 3*o - 5*p + p - l. Calculate the remainder when 98 is divided by o.
23
Suppose 10*b - 332 = 6*b. Let f = 26 - -2. What is the remainder when b is divided by f?
27
Suppose 3*d - x = -5*x + 77, -3*x = 5*d - 143. Suppose -6*z + z + 40 = 0. What is the remainder when d is divided by z?
7
Suppose 5*k + 62 = 187. What is the remainder when k is divided by (4 - -11) + 2*-1?
12
Suppose -3*x = 12, -3*k + 0*k + 668 = 4*x. Let d = -111 + k. Let r = -53 + d. Calculate the remainder when r is divided by 22.
20
Let i(q) = q**3 + 9*q**2 + 7*q - 4. Suppose 2*z - 1 = 3*z, -2*p - 2*z - 18 = 0. What is the remainder when i(p) is divided by 2?
0
Let k = 44 - 39. What is the remainder when 16 is divided by k?
1
Let x = 145 - 101. Suppose -2*s + x = -60. Calculate the remainder when s is divided by 18.
16
Suppose -8*r + 98 = -7*r. What is the remainder when r is divided by 25?
23
What is the remainder when 64/10 - (-6)/(-15) is divided by 2?
0
What is the remainder when 41 is divided by -1*2*(-90)/12?
11
Let b(v) = -v**3 - v**2 + v + 22. Let p be b(0). Suppose 5*i + 37 = -23. Let u = i + p. What is the remainder when 19 is divided by u?
9
Suppose 4*m = -4*t + 120, 0 = -t - t - m + 61. What is the remainder when t is divided by -2 + 1 + (19 - (-3 - -5))?
15
Let w be (23/(-2))/(2/4). Let k = w - -32. What is the remainder when 16 is divided by k?
7
Suppose -4*t - 2*d + 100 = 3*d, -3*t + 4*d + 75 = 0. Let h = t - 9. Calculate the remainder when 62 is divided by h.
14
Suppose 0*y + 3*y + 18 = 2*m, 76 = 4*m + 4*y. What is the remainder when 27 is divided by m?
12
Suppose -7*p + 3*p - 12 = 0, 2*l - 2*p - 2 = 0. Suppose -2*t + 85 = -15. What is the remainder when t is divided by 0/l - (-17 - 0)?
16
Suppose 0 = 5*m - 25, 5*q = 4*q + m + 36. Calculate the remainder when q is divided by 11.
8
Let i(r) = -r - 14. Let p(v) be the second derivative of -v**4/12 - 4*v**3/3 - 3*v**2 + v. Calculate the remainder when p(-6) is divided by i(-18).
2
Suppose 8 = 5*v - 2, n - 8 = -2*v. Suppose 2*b - 16 = -w + 1, 4*b = 4*w + 28. What is the remainder when -2 - 0 - b/(-1) is divided by n?
2
Let a be (9/(-18))/((-2)/12). Let m(x) = 4*x**2 - 4*x + 4. What is the remainder when m(a) is divided by 15?
13
Let w = 34 - -1. Suppose z + 1 = c - 1, 0 = -2*c + 3*z + 4. Suppose c*i + 70 = 5*l, -3*i = 3*l - 6*l + 51. Calculate the remainder when w is divided by l.
11
Let x(i) be the second derivative of i**3/3 - 11*i**2 + i. Calculate the remainder when 45 is divided by x(17).
9
Let q = 17 - 14. Suppose q = 2*k - 13. Calculate the remainder when k is divided by 5.
3
Let y = -19 - -35. What is the remainder when 29 is divided by y?
13
Suppose 0 = -f + 2*f - 5. What is the remainder when 15 + -3 - 1*-1 is divided by f?
3
Let q(c) = 0 + 2*c - 3 + 2*c**2 + 4. Calculate the remainder when 19 is divided by q(-2).
4
What is the remainder when ((-18)/27)/(2/(-183)) is divided by 21?
19
What is the remainder when 87 is divided by 1660/55 - (-2)/(-11)?
27
Let w = 107 + -69. Let v = w + 0. Suppose -11*d + 160 = -3*d. Calculate the remainder when v is divided by d.
18
Suppose 2*y + 90 = 4*y. Let u = 1 - 0. Let b = y + u. What is the remainder when b is divided by 12?
10
Suppose -s + 5 = -10. Calculate the remainder when s is divided by 6.
3
Calculate the remainder when (-378)/(-36)*1*2 is divided by 12.
9
What is the remainder when (-380)/(-30)*(-18)/(-4) is divided by 15?
12
Suppose 0 = -2*o + 109 - 11. Suppose 2*h - 3 = 7. Suppose o + 201 = h*t. What is the remainder when t is divided by 13?
11
Suppose -2*k + 8 = 5*p - 5, -3*p = 4*k - 5. Let n = 1 - 0. Calculate the remainder when p is divided by n.
0
Let k = 20 + -8. Let s(b) = -5*b**2 - 3*b - 1. Let y be s(3). Let x = -33 - y. Calculate the remainder when x is divided by k.
10
Let k = -5 - -1. What is the remainder when 48 - (1 + 1 + k) is divided by 13?
11
Suppose 0 = -2*t + 3*k + 24, 0 = -t - 2*t - 3*k + 36. What is the remainder when 46 is divided by t?
10
Let f(a) = a**2 - 5*a + 5. Let q = 22 + -13. Calculate the remainder when q is divided by f(5).
4
Let c(i) = -2*i**3 - 3*i**2 + 3*i + 2. Suppose 8*h - 7*h = -1, 2*g + 5*h = 17. What is the remainder when c(-3) is divided by g?
9
Let n(y) = 3*y**2 + 6*y - 10. What is the remainder when n(-7) is divided by 24?
23
Let u be (22/4)/((-3)/(-6)). Suppose -4*l = -u + 3. Let f(j) = 3*j**2 + 2*j - 3. Calculate the remainder when 37 is divided by f(l).
11
Let h be 6/(-4)*(-16)/6. Suppose 4*m - 8*m = h*t + 4, 4*m - 4*t = 28. Calculate the remainder when 7 is divided by m.
1
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