t c be 3/(-2) + (-5)/(-10). Let b(k) be the second derivative of 25*k**4/12 - k**3/3 - k**2/2 + 2*k. Calculate the remainder when b(c) is divided by 9.
8
Let b be (9 + (-1 - 2))*-1. Let s(l) = -l**3 - 7*l**2 - 9*l - 5. What is the remainder when 49 is divided by s(b)?
10
Suppose -5*g + 2*z = -45, 6*z - 2*z = 0. Let a(w) = w**3 - 5*w**2 - 7*w + 5. Let v be a(6). Let p = g + v. What is the remainder when 23 is divided by p?
7
Suppose q = -2 + 6. Suppose -q*w = -2*i - 20, 3*w + i - 36 = -11. What is the remainder when ((-2)/6)/((-10)/390) is divided by w?
6
Suppose 0 = x - 4 + 2. Suppose 2*i + 4*w = 146, 0 = x*i - i - 5*w - 108. Calculate the remainder when i is divided by 21.
20
Let b(p) = p**3 + 11*p**2 + 9*p - 16. What is the remainder when b(-9) is divided by 17?
14
Let i = 5 + 1. Calculate the remainder when 17 is divided by i.
5
Suppose d + 4*q = -1, -d - 8 + 47 = -4*q. Calculate the remainder when 55 is divided by d.
17
Suppose -2*t - 3*t = -3*o + 62, -5*o = 4*t - 165. What is the remainder when 142 is divided by o?
26
Suppose 0 = 3*k - k. Suppose -56 = -2*d + 4*w - k*w, -2*w = 10. Calculate the remainder when d is divided by 10.
8
Let n be (78/15)/((-1)/(-740)). Let g be n/24 - 1/3. Let l = 230 - g. What is the remainder when l is divided by 24?
22
Let g be (3/(-3) + 1)/2. Suppose 5*o - 2*r - 31 = -4*r, g = 5*o - r - 22. Calculate the remainder when (-1)/(-3) - 46/(-6) is divided by o.
3
Let d(h) = 9*h + 9. Calculate the remainder when d(4) is divided by 14.
3
Let s(i) = -i + 110. Calculate the remainder when s(0) is divided by 38.
34
Let b = -27 - -42. Let i be -1*((-1)/(-1) + 94). Let d = -52 - i. Calculate the remainder when d is divided by b.
13
Let m = 2 + 1. Calculate the remainder when 8 is divided by m.
2
Let d = 1 - -3. What is the remainder when (6/(-4) - 1)*-2 is divided by d?
1
Let d = -605 + 353. Let t = 60 + d. Calculate the remainder when 41 is divided by 2/7 + t/(-14).
13
Let i = 8 + 0. Let b(h) = 17*h**3 - 2*h**2 + 1. Let v be b(1). Let d = v - i. Calculate the remainder when 15 is divided by d.
7
Let g be (-1695)/(-10) - 1/(-2). Suppose 4*b = -b + g. What is the remainder when b is divided by 12?
10
Suppose 2*w = 7*w - 90. Let s(n) = -1 + 3 - 6*n**2 - n - 2 - n**3 + 1. Calculate the remainder when w is divided by s(-6).
4
Let y(p) = 3*p + 1. What is the remainder when 19 is divided by y(4)?
6
Suppose -j = -3*r + 7, 3 = 2*j - r - 3. Let q be 2/8 - 42/8. Let g = q - -14. Calculate the remainder when g is divided by j.
4
Let b(x) = -x**3 + 5*x**2 + 8*x - 9. Let n be b(6). Let v = -24 - -26. What is the remainder when (-2 + -1)*(-2)/n is divided by v?
0
Suppose 5*l + 4*a + 66 = 0, -l + 4*a + 5 = -1. Calculate the remainder when 9 is divided by (8/l)/(14/(-105)).
3
Let q be -1 + 2 + 4 + -3. Suppose -109 = -2*x - 3*h, -5*h = q*x - 63 - 56. Suppose -2*j = 2*j - 48. Calculate the remainder when x is divided by j.
11
Let x(h) = -5*h - 111. What is the remainder when 46 is divided by x(-27)?
22
Let i(w) = -w**3 - 2*w**2 + 4*w - 5. What is the remainder when 43 is divided by i(-4)?
10
Let s(p) = p**2 - 5*p + 1. Let i be s(3). Let z(d) = d**2 - 4*d + 3. Let b be z(2). Let f = b - i. What is the remainder when 6 is divided by f?
2
Suppose 3*o - 45 = -2*o. Let s(w) = 7*w + 4. Let b be s(o). Suppose -5*g = -b - 83. Calculate the remainder when g is divided by 11.
8
Suppose -2*b + 25 = -183. Let p be b + (-1 - 0)/(-1). Suppose v - 6*v + p = 0. What is the remainder when 61 is divided by v?
19
Suppose 175 = 20*d - 15*d. Calculate the remainder when 101 is divided by d.
31
Let a(u) = -1 - 49*u + 48*u + 2. Calculate the remainder when 3 is divided by a(0).
0
Let a = 48 + -38. Let l(j) = -6*j + 1. What is the remainder when l(-3) is divided by a?
9
Let m = -75 - -85. Calculate the remainder when 47 is divided by m.
7
Let o = 36 - 21. What is the remainder when 42 is divided by o?
12
Let k = -94 - -132. Calculate the remainder when k is divided by 10.
8
Let s(d) = 2*d**2 - 4*d + 2. Let x = -7 + 3. What is the remainder when s(x) is divided by 17?
16
Let d(i) = 3*i - 4. Let j be d(6). Let t be (-4)/(-14) - (-24)/j. Calculate the remainder when t*(1 - 0) - -18 is divided by 11.
9
Let g(f) = f**3 + 5*f**2 - 6*f + 6. Suppose -3*v - 116 + 29 = 0. Let q = v - -48. What is the remainder when g(-5) is divided by q?
17
Let p be (-1 + (0 - -13))*-4. What is the remainder when 79 is divided by 45/(-12)*p/9?
19
Let o(i) = -10*i - 4. Let n be o(-5). Let f = n + -27. Let j(y) = -y**3 - 7*y**2 - 6*y + 7. Calculate the remainder when f is divided by j(-6).
5
Suppose 0 = 5*n - 3 - 2, 2*b + 5*n - 157 = 0. Calculate the remainder when b is divided by 21.
13
Let v = -19 - -25. What is the remainder when 8 is divided by v?
2
Let y = -3 - -13. Calculate the remainder when 29 is divided by y.
9
Let o(m) = -2*m**2 + 10*m - 2. What is the remainder when 69 is divided by o(3)?
9
Suppose 0*c - 3*c + 24 = 0. What is the remainder when c is divided by 1/(((-12)/(-10))/6)?
3
Let h(w) be the first derivative of w**3/3 + w**2 + w + 1. Suppose 0 = -g - g + 60. Calculate the remainder when g is divided by h(-5).
14
Let t = 5 + 10. Let o(f) = -f - 1. Let i be o(-3). Let d = i - -6. What is the remainder when t is divided by d?
7
Let r = -1 - -15. Calculate the remainder when 27 is divided by r.
13
Suppose -42 = -3*m + 3*a, 0 = m - 0*m + 4*a - 9. Calculate the remainder when 2/(-5) - 244/(-10) is divided by m.
11
Suppose -3*r = -2*f + 5 - 0, 2*f - 5*r + 1 = 0. Let y(x) = 7*x - 2. What is the remainder when y(3) is divided by f?
5
Let o(g) = 3*g**2 + 6*g + 10. What is the remainder when o(-5) is divided by 19?
17
Let w(i) = 4*i**2 - 4*i + 3. Let k(r) = -r**3 + 3*r**2 + 2*r - 3. Let q be k(3). What is the remainder when 52 is divided by w(q)?
25
Suppose 3*o = -3*u - 12, u - 2*o - 15 = -4. Calculate the remainder when 18 is divided by u.
0
Let f(p) = p**3 - 5*p**2 + 6*p - 6. Let y be f(4). Suppose -12 = 4*b, -5*z + y*b + 7 = -74. What is the remainder when z is divided by 9?
6
Let f(o) = 3*o + 15. Let t(c) = -2*c - 7. Let h(l) = 2*f(l) + 5*t(l). What is the remainder when (0 + 2)*86/4 is divided by h(-5)?
13
What is the remainder when (-21 - (5 - 7))*-2 is divided by 10?
8
Suppose -2*i - 4*w = -14, 2*i + 6*w - 10*w = 54. Calculate the remainder when i is divided by 2.
1
Suppose 3*y - 1 = -7. What is the remainder when 15 is divided by 462/56 - y/(-8)?
7
Suppose 2 + 3 = 5*z - 5*p, -4*z - p + 14 = 0. What is the remainder when 36 + (-4 - z/(-3)) is divided by 17?
16
Let v(i) = -11*i + 1. What is the remainder when 68 is divided by v(-2)?
22
Let b(c) = -c**3 + 8*c**2 - 10*c. What is the remainder when 59 is divided by b(6)?
11
Suppose 4*p = u - 3*u + 26, 2*u = 3*p - 30. Calculate the remainder when 39 is divided by p.
7
Let h = -5 + -1. Calculate the remainder when (-2)/h + 134/3 is divided by 16.
13
What is the remainder when 143 is divided by (-142)/(-4) - (-18)/36?
35
Let s(f) = 12*f + 8. Let o be s(-7). Suppose -46 = -5*j - r, -2*r = -j - 9 + 27. Calculate the remainder when (1/(-2))/(2/o) is divided by j.
9
Suppose 0 = -4*c - c + 25. Calculate the remainder when (-12)/12 + 9*1 is divided by c.
3
Let q be 20*((-14)/8 + 2). Let w be (-152)/(-6) + 1/(-3). Suppose i - w = -4*s, q*s - i = 1 + 37. What is the remainder when 13 is divided by s?
6
Let y be (8/6)/((-8)/(-36)). Let r(w) = 5*w + 4. Let z(h) = -h + 7. Calculate the remainder when r(y) is divided by z(-5).
10
Let d(a) = 3*a - 6. Calculate the remainder when 17 is divided by d(5).
8
Suppose -4*r - 21 = -7*r. Let n be (0/(1 - 0))/(-1). Suppose 0 = 4*o - n*o - 80. Calculate the remainder when o is divided by r.
6
Suppose 81 + 254 = 5*i. Calculate the remainder when i is divided by 17.
16
Suppose k + 3*k - 72 = 0. Calculate the remainder when 69 is divided by k.
15
Suppose 9 = 3*p - 0. Suppose -p*q + 55 - 16 = 0. Calculate the remainder when 24 is divided by q.
11
Let r be (940/(-12))/(2/(-6)). Suppose 0 = -5*g + r + 230. Suppose l + 7*u - 4*u = 30, g = 5*l - 4*u. What is the remainder when 61 is divided by l?
19
Suppose 150 = r + 5. Let n = -90 + r. Suppose -4*k + n = 19. Calculate the remainder when k is divided by 6.
3
Suppose -2 = q - 0. Suppose 0 = -p + 62 - 18. What is the remainder when p is divided by q/2*(-30)/2?
