 n(v) = -2*v**3 - 3*v**2 - 3*v - 2. Let b(d) = d**3 + 8*d**2 + 7*d. Calculate the remainder when b(-6) is divided by n(-2).
6
Let u(b) = -b**2 + 12*b + 2. Calculate the remainder when u(9) is divided by 11.
7
Suppose -385 + 74 = -5*o + 2*s, -3*s = -5*o + 314. Let k = o + -39. What is the remainder when k is divided by ((-30)/(-20))/((-6)/(-32))?
6
Let i = -10 + 89. What is the remainder when i is divided by 20?
19
Let c(o) = 3*o**2 + 4*o - 5. Let t = 37 + -17. What is the remainder when c(-6) is divided by t?
19
Suppose -5*n + 18 = -4*z - 21, n - 10 = 3*z. Suppose 3 = -d + 1. Let o = 3 - d. What is the remainder when n is divided by o?
2
Calculate the remainder when 2031/15 - (-6)/10 is divided by 30.
16
Let q = -65 - -122. What is the remainder when q is divided by 15?
12
Suppose -3*z = -2*s + 164, -3*z + 415 = 5*s - 8*z. Let j = s + -45. Calculate the remainder when j is divided by 21.
19
Let a = 4 + 8. Suppose 20 = 4*j - 0*c - c, 3*j - 2*c - 15 = 0. Calculate the remainder when 4*((-81)/a)/(-3) is divided by j.
4
Suppose 0 = 3*g - 11 - 34. What is the remainder when 59 is divided by g?
14
Suppose -124 = -3*n - 82. What is the remainder when 41 is divided by n?
13
Suppose 0 = c + c - 12. Suppose -c = -i + 2*i. What is the remainder when (4/i)/(4/(-162)) is divided by 14?
13
Let z = -8 - -2. Let q = 1 - z. Calculate the remainder when 27 is divided by q.
6
Let n = 140 - 42. What is the remainder when n is divided by 34?
30
Calculate the remainder when 18 is divided by (-27)/3*(-6)/3.
0
Suppose -21*w = -19*w - 38. What is the remainder when 87 is divided by w?
11
Let i(y) = -11*y - 1. What is the remainder when 60 is divided by i(-2)?
18
Let p be (-1 + 79)/((-3)/3). Let k = 133 + p. Calculate the remainder when k is divided by 14.
13
Calculate the remainder when 2/2 + 25 - 0 is divided by (-52)/16 + 4 - 106/(-8).
12
Let y(c) = 0*c**3 - c**2 - c + 3*c**2 + 3*c**3 - 2*c**3. Let t be y(1). Suppose -t*s + s + 5 = 0. What is the remainder when 9 is divided by s?
4
What is the remainder when (-3)/(-5) + 62*(-24)/(-20) is divided by 26?
23
Let h(a) = -2*a + 1. Let y be h(8). What is the remainder when 22 is divided by ((-12)/y)/((-2)/(-20))?
6
Suppose 0 = 7*y - 2*y. Let m be (4 - 2)*2/2. Suppose y*h = -3*h - 2*g + 183, m*h - g = 122. Calculate the remainder when h is divided by 21.
19
Suppose h + 0*h - 4 = 2*n, 5*h - 11 = n. Suppose -h*a + 5*w - 8 = a, 8 = a + w. Calculate the remainder when 6 is divided by a.
2
Let p = 84 + -30. Let o = 0 + 14. What is the remainder when p is divided by o?
12
Let z = 167 - 112. Calculate the remainder when z is divided by 14.
13
Suppose -3*m - 146 = w, -5*w + w - 584 = -2*m. Calculate the remainder when 70 is divided by w/(-8) - (-2)/(-8).
16
Let p = -94 - -237. Calculate the remainder when p is divided by 37.
32
Let l = -28 + 4. Let h = -10 - l. Calculate the remainder when 52 is divided by h.
10
Let b(v) = v + 7. Let a be b(-4). Suppose -4 = -a*d + 53. What is the remainder when 36 is divided by d?
17
Let x = 116 + -82. Let b(l) = -l**2 - 12*l + 1. Let y be b(-9). Let g = y + -10. Calculate the remainder when x is divided by g.
16
Calculate the remainder when ((-24)/(-10))/(2/35) is divided by 9.
6
Suppose -5*m = 0, -4*o + 5*m + 2 = -3*o. Suppose 0 = -d - 0*d + o*u + 9, -2*d - 2*u = 0. Let h = 10 + -6. What is the remainder when h is divided by d?
1
Let k(r) = r**3 + 11*r**2 + 9*r + 2. Calculate the remainder when k(-8) is divided by 31.
29
Suppose -4*f + 20 = -j, 0 = -4*j - 0*j + 5*f - 25. Suppose g - 4*x - 27 = 0, j = 3*x + 12. Calculate the remainder when 21 is divided by g.
10
Suppose 5*j = d - 6*d + 855, 2*j = d - 177. Calculate the remainder when d is divided by 44.
41
Let c(j) = 15*j. Let m be c(-1). Let w be -1*(-6)/m*-5. Suppose -u - o = -5, w*u - 5*o - 47 = -2*u. Calculate the remainder when 14 is divided by u.
6
Suppose -7*c + 0*c = -329. What is the remainder when c is divided by 5?
2
Let a = -48 + 33. Suppose 36 = -2*o + 5*o. What is the remainder when (-220)/a*6/4 is divided by o?
10
Let m = 1 + 22. What is the remainder when m is divided by 8?
7
Suppose 4*a = -a + 110. What is the remainder when 86 is divided by a?
20
Let n(o) be the second derivative of o**3/6 + 2*o**2 - 6*o. What is the remainder when n(12) is divided by 9?
7
Let d(c) = -c**3 + c**2 + c + 32. What is the remainder when 127 is divided by d(0)?
31
Let s(j) = 8*j + 7. Calculate the remainder when s(5) is divided by 16.
15
Suppose -32 = -3*w + v, -2*w - 3*v = w - 12. What is the remainder when 15 is divided by w?
6
Suppose 58 = -5*j + 3*b, 5*j - 5*b = -0*b - 50. Let y be j/6 + 6/18. Calculate the remainder when y + 9/(-6)*-22 is divided by 11.
9
Suppose 4*a + 15 = 39. Calculate the remainder when (a/(-2))/(12/(-80)) is divided by 11.
9
Suppose -3*f = 2*f. Let j = 24 - 16. Suppose -5*o + 43 = -2*o + 5*w, f = 3*o - 2*w - j. Calculate the remainder when o is divided by 4.
2
Suppose 0 = 8*f - 159 - 265. Let z = 22 + 5. What is the remainder when f is divided by z?
26
Suppose a - 28 = -4*h, 0*a + 35 = 5*h + 5*a. Suppose -u = u - 16. Calculate the remainder when u is divided by h + -5 + 3 + 0.
3
Let k = 14 - 11. Suppose -3 = -u, -k*p - 4*u + 88 = p. Calculate the remainder when 75 is divided by p.
18
What is the remainder when 12 is divided by (-4)/10 - 54/(-10)?
2
Let h = 168 - 138. Calculate the remainder when 208 is divided by h.
28
Suppose 5*c - 24 = 2*c. Calculate the remainder when 30 is divided by c.
6
Let n(o) = 2*o - 4. Let r be n(8). Suppose 2*l + 4 = r. What is the remainder when 14 is divided by l?
2
Let r = -9 + 1. Let w = 21 + r. Suppose -16 = -4*k + 4*x, -k - 2*x - 2 = -15. What is the remainder when w is divided by k?
6
Suppose -3*m - 33 = -4*j, -j - 4*m = j - 22. Let s be (3/(-6))/((-1)/(-122)). Let y = -36 - s. What is the remainder when y is divided by j?
7
Let h(p) = -p**2 + 8*p - 4. Let j(n) = -2*n - 2. What is the remainder when h(7) is divided by j(-2)?
1
Suppose 0*z + 20 = 5*z. Let g be 0*-2*(-1)/(-4). Let r = 3 + g. Calculate the remainder when z is divided by r.
1
Suppose -5*q + k + 16 = -2*k, 0 = 3*q - k - 8. Suppose m = 4*r - 25, -3*r - 2*r = q*m - 28. Calculate the remainder when r is divided by 3.
0
Suppose -16*j + 17*j - 3 = 0. Suppose -2*k + 23 = 3*b - 3*k, -2*b - k + 7 = 0. What is the remainder when b is divided by j?
0
Let x(d) = d**2 + 8*d + 6. Let t be x(-4). Let a = t - -56. What is the remainder when a is divided by 24?
22
Suppose 16 = 4*z - 12. Let g(d) = 9*d - 5. Let f = -25 + 45. What is the remainder when g(z) is divided by f?
18
Suppose -4*y + 13 = 1. Suppose y*a = 6 + 6. What is the remainder when 13 is divided by a?
1
Suppose 5*d - 14 = 1. Suppose w + 15 = 2*w. Calculate the remainder when (-28 + (2 - d))/(-1) is divided by w.
14
Let q = 17 + 2. Calculate the remainder when (-2)/5 + (-277)/(-5) is divided by q.
17
Suppose 3*l = 3*w - 23 - 16, 5*l = 2*w - 26. Suppose 3 = a - 1. Calculate the remainder when w is divided by 30/a + 4/(-8).
6
Suppose -2*w = 2*w + k + 15, 0 = -3*w - 3*k - 9. Let j(z) = -z + 1. What is the remainder when 13 is divided by j(w)?
3
Let x = 36 - 17. Calculate the remainder when 73 is divided by x.
16
Suppose 3*l + 0*l + 9 = 0. Let o be (-5 - l - 30) + -1. Let s = o + 48. Calculate the remainder when s is divided by 6.
3
Let g be 0 + -17 - (1 + 2). What is the remainder when (35/(-10))/(2/g) is divided by 18?
17
Suppose -g - 2*q + 8 = 0, 0*q = -5*g - 4*q + 22. Calculate the remainder when 6 is divided by g.
0
Let g = 9 + 32. Calculate the remainder when g is divided by 23.
18
Let l = -19 - -24. Suppose -2*z = 0, 50 - l = m + 2*z. What is the remainder when m is divided by 16?
13
Let l(o) = o**3 + 2*o - 3. Let b be l(3). Suppose -2*i - 5*z + b = -2*z, 5*z + 10 = 0. Calculate the remainder when 70 is divided by i.
16
Let u = -5 + 14. What is the remainder when 15 is divided by u?
6
Suppose -2*l + 1 = -4*i - 7, 4*i - 3*l + 8 = 0. Let w be (-2)/i*(-14)/(-1). Let v = w + -6. What is the remainder when 15 is divided by v?
7
Let x(p) = p**2 + 7*p - 9. Let b be x(-7). Let z = -1 - b. What is the remainder when 31 is divided by z?
7
Let s(b) = b**3 + 5*b**2 - 7*b + 4. Let k(u) = u - 6. Let l be k(0). Suppose -t + 1 + 3 = 0. Calculate the remainder when s(l) is divided by t.
2
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