r**2 - 5*r - 6. Let p(d) = -d**3 + 7*d**2 - 6*d - 8. Let h be p(6). Let n = h + 18. What is the remainder when v(5) is divided by n?
9
Let f = 14 - 4. Let j = f + 4. Let y = -34 - -75. What is the remainder when y is divided by j?
13
Let u(w) = w**3 - w + 2. Let a(k) = k**2 + 4*k - 3. Let m be a(-5). What is the remainder when u(m) is divided by 5?
3
Let z(m) = m**2 + m. Let d be z(-3). Suppose -2*c = -d*c + 156. Calculate the remainder when c is divided by 10.
9
Suppose -161 = -3*l + 121. Suppose 0 = -3*i + 2*x + 54, -2*i + 2*x + l = 3*i. Calculate the remainder when 38 is divided by i.
18
Let p = 11 - 7. Suppose p*k + 47 + 37 = 0. Let a = -12 - k. Calculate the remainder when 25 is divided by a.
7
Suppose -22 = -b + 3*n - 3, 61 = 3*b - 5*n. What is the remainder when 55 is divided by b?
11
Let t(q) = q**3 + 5*q**2 - 25*q + 8. Let r(n) = -n**2 - 7*n + 3. Calculate the remainder when t(-8) is divided by r(-6).
7
Let q(c) = 2*c**3 + 38*c**2 + 36*c + 26. What is the remainder when q(-18) is divided by 16?
10
Suppose -3*r + 26 = -2*r. What is the remainder when 75 is divided by r?
23
Suppose 0 = 2*a - 3*k - 131, a - k - 60 = -5*k. Calculate the remainder when a is divided by 13.
12
Let l(y) = -2*y**2 + 12*y - 8. Let u be l(5). What is the remainder when (3 + -2)*11*7 is divided by u/(-5) - 132/(-5)?
25
Suppose 6 = 3*y - 24. Let j be 38 + (-2)/((-6)/3). Let v = -10 + j. What is the remainder when v is divided by y?
9
Let c = -1 - -1. Let h = 11 - 5. What is the remainder when 11 + c + (5 - h) is divided by 6?
4
Let q be (-4)/((-5)/(10/4)). Let n(y) = 12 + 8*y**2 - 8*y**q - y**3 + y. What is the remainder when 22 is divided by n(0)?
10
Suppose 5*m - 139 = z, 5*z = 5*m - 0*z - 155. What is the remainder when m is divided by 8*1 + (8 - 6)?
7
Suppose 5*k - 8 = 12. Suppose -21 = -p - p - 5*x, -3*p = k*x - 35. Calculate the remainder when p is divided by 4.
1
Suppose w = -4*n + 5*w + 704, -2*w = -5*n + 877. Calculate the remainder when n is divided by 59.
57
Let s = 1 + 2. Let a(z) be the third derivative of z**6/120 + z**5/12 + z**4/8 - z**3/3 + z**2. What is the remainder when a(-3) is divided by s?
1
Suppose -a - p = -0*a - 23, -p = -3. Suppose b - 2*b = -59. Calculate the remainder when b is divided by a.
19
Let a(u) = u**3 - 13*u**2 - 12*u - 18. What is the remainder when 18 is divided by a(14)?
8
Let a(p) = -3*p - 21. What is the remainder when a(-27) is divided by 23?
14
Suppose -5*t + 4*i = -36, -i - 5 = -t + 2*i. What is the remainder when 15 is divided by t?
7
What is the remainder when 2105/20 - (-2)/(-8) is divided by 27?
24
Let v = -8 + 5. Calculate the remainder when 20 is divided by (v*3 + 2)/(-1).
6
Let f(c) = -c**3 - 7*c**2 - 7*c - 2. Suppose 65 = 9*p - 34. Calculate the remainder when p is divided by f(-6).
3
What is the remainder when 15 is divided by (0 - -2) + 2*1?
3
Suppose 0 = p - 4*v - 1 - 2, -3*p = 5*v - 26. Let n = 3 + -5. Calculate the remainder when p is divided by 11/2 + n/4.
2
Let b be (5 + 1)*2/6. Suppose -5*t + 95 = 2*i + 3*i, -b*t = -3*i - 63. Suppose 0*f = -2*f + t. Calculate the remainder when 23 is divided by f.
11
Let p = 13 - -1. Suppose -q = -c - 4*q + 14, 0 = -2*c + 2*q + 60. Calculate the remainder when c is divided by p.
12
Suppose -d + 3 = -0*d. Suppose 2*p - 60 = -d*p. What is the remainder when 47 is divided by p?
11
Suppose 0 = 7*i - 8*i + 6. Let h(x) = x**3 - 6*x**2 + 8*x - 9. What is the remainder when h(i) is divided by 22?
17
Let k be 6/(-4)*(-4)/6. What is the remainder when 28 is divided by (-58)/(-6) - k/(-3)?
8
Let m = 91 + 5. What is the remainder when m is divided by 20?
16
Suppose 2*q + 2*v = 50, -3*q + 2*v + 97 = 22. Suppose 6*d - q - 65 = 0. Calculate the remainder when 58 is divided by d.
13
What is the remainder when (-22)/(-66) - (-424)/6 is divided by 12?
11
Calculate the remainder when 44 is divided by 4/14 + 152/7 + -6.
12
Let v be (3 - 2/1)/(-1). Let n(f) = -7*f**3 - 2*f**2 - f. What is the remainder when 11 is divided by n(v)?
5
Let b be -4 - (-2 - -2 - -14). Let v = 24 + b. What is the remainder when 16 is divided by v?
4
Suppose -4*j + 5*j + i = 4, 4*i + 2 = -j. Let x = j - 0. What is the remainder when x is divided by 3?
0
Suppose -3*g + 74 = -46. Suppose 4*x + 38 = -w + 123, -5*x + 3*w + 102 = 0. Calculate the remainder when g is divided by x.
19
Let u(z) = 7*z**2 + 8*z - 6. Let b be u(5). Suppose -10 = -3*i + b. What is the remainder when i is divided by 19?
16
Suppose -1 = -o, -3*y + 55 = -3*o - 248. Let x = y - 60. Let v = -15 - -30. What is the remainder when x is divided by v?
12
Suppose 5*n - 148 = l, 5*n + 4*l = 43 + 115. Calculate the remainder when n is divided by 12.
6
Suppose s = -2*u - 6, 3*u - 18 = 8*u + s. Let n = 9 + u. Suppose x = -t + 5*x + 41, n*t = 2*x + 187. Calculate the remainder when t is divided by 13.
11
Let v(l) = -5*l - 2. Calculate the remainder when (4 - 28/6)/(2/(-108)) is divided by v(-3).
10
What is the remainder when (-4*3/36)/((-1)/249) is divided by 12?
11
Let m(g) = -g**3 - 12*g**2 - 24*g - 6. What is the remainder when 87 is divided by m(-10)?
19
Let i(g) = 8*g**2 - g. What is the remainder when i(-1) is divided by 4?
1
Let t(k) = -2*k**2 + 69*k - 13. What is the remainder when t(29) is divided by 44?
42
Suppose 4*m - 44 = -3*n, 5*m + 0*n - 74 = n. What is the remainder when m is divided by 8?
6
Let x(c) = -14*c + 3. What is the remainder when x(-7) is divided by 26?
23
Suppose 2*r - 392 = -4*t, 7*t - 8*t = -4*r + 820. Calculate the remainder when r is divided by 70.
64
Let b = 13 - 2. What is the remainder when 27 is divided by 1 + (5 - 3) + b?
13
Let n be (-8)/(-2 - 0) - 2. Suppose -24 = -3*r - n*q, 0 = 3*r + q + 4*q - 15. What is the remainder when 17 is divided by r?
7
Let t = -20 + 23. Calculate the remainder when t is divided by 2.
1
Suppose -l - 2*p - 3*p + 181 = 0, 3*l - 565 = -4*p. Let h = l - 126. What is the remainder when h is divided by 17?
14
Let q(w) = 4*w**2 - 2*w + 3. Calculate the remainder when (-14)/(-21)*66 + (-2)/2 is divided by q(2).
13
Suppose -18 = 2*a - 2. Let o = a + 9. What is the remainder when o is divided by 1?
0
Suppose -4*x = -3*x - 53. What is the remainder when x is divided by 11?
9
Let k = -13 + 19. Calculate the remainder when 17 is divided by k.
5
Let n(y) = -2*y + 6. Let u be n(4). Let d be (-1)/((-1)/(168/u)). Calculate the remainder when ((-8)/6)/(8/d) is divided by 4.
2
Let r(s) = -14*s + 1. Calculate the remainder when r(-2) is divided by 8.
5
Suppose 4*j = -5*o + 430, 0*j + j = 2*o + 114. Calculate the remainder when j is divided by 38.
34
Let g(i) = 15*i - 3. Let c be 3/12 + 21/12. Calculate the remainder when g(c) is divided by 14.
13
Suppose -5*h + r = 16, 4*r - 7 = h - 0*r. Let o be (1*15)/h*-2. Calculate the remainder when 28 is divided by 3/(-2)*-1*o.
13
Suppose 7*v = 46 + 24. Calculate the remainder when 59 is divided by v.
9
Let y = -21 - -53. Let z be ((-12)/10)/(6/30). Calculate the remainder when y is divided by -2*(-3)/z*-11.
10
Let q(p) = -p**2 - 8*p + 3. Suppose -5*c + 172 = -2*c - v, 0 = -3*c + 4*v + 166. What is the remainder when c is divided by q(-6)?
13
Let x(l) be the first derivative of 8*l**2 + l + 2. Let m be x(2). Suppose -78 = -t - m. What is the remainder when t is divided by 12?
9
Suppose -2*w + 0*w = -8. Calculate the remainder when (1 - -17) + (-8)/w is divided by 6.
4
Let j(g) = g**2 + 8*g + 20. What is the remainder when j(-12) is divided by 13?
3
Suppose -k + 38 = -2*w, 5*k - 100 = 2*w + 122. Suppose 38 = 2*r - 2*p, 5*r - p - k = 69. Calculate the remainder when 47 is divided by r.
23
Suppose -114 = -4*r + 2*k, 3 - 14 = -r + 4*k. What is the remainder when 58 is divided by r?
27
Let f(o) = 0*o**2 + 26 + o - 1 + o**2 - 2*o**2. What is the remainder when f(0) is divided by (-15)/(-20) + (-100)/(-16)?
4
Let w(a) = -3*a. Let x be w(-1). Suppose 0 = -3*k + 12 + x. What is the remainder when 19 is divided by k?
4
Let l(s) = s**3 - 9*s**2 - 2*s + 19. Calculate the remainder when 2 is divided by l(9).
0
Let v = -9 - -43. Suppose 0 = 5*g + 5*x - 40, -3*g + x = 6*x - 16. What is the remainder when v is divided by g?
10
Let g = -26 + 29. Suppose 0 = -u - 2*u + g*p + 78, 0 = 5*u - 4*p - 127. Calculate the remainder when u is divided by 12.
11
Suppose 0 = -3*c - c + x + 21, -2*x -