). What is the remainder when 17 is divided by u(-6)?
2
Let o(y) = -y**2 - y + 18. Let c(n) = n**3 - 6*n**2 + 4*n + 1. Let d be c(5). Let a(i) = -i**3 + 2*i - 3. What is the remainder when a(d) is divided by o(0)?
17
Suppose -2*x - 36 = -5*x. Suppose 0 = 2*v, 4*v + x + 123 = 5*y. Suppose 3*c - 93 = -y. Calculate the remainder when c is divided by 8.
6
Let k(v) = v - 5. Let g be k(7). Suppose -3*q = -6*q + 9. Suppose g*p - 215 = -q*p. Calculate the remainder when p is divided by 15.
13
Let w be -3*1/(-3) + 2. Let b be w/((-2)/4*3). What is the remainder when 37 is divided by (b/6)/(5/(-195))?
11
Let t(u) be the first derivative of -3*u**4/4 - u**3/3 - u**2/2 - 5. What is the remainder when t(-2) is divided by 8?
6
Suppose 0 = -5*d + 3*t + 174, -2*d + 47 = 2*t - 13. Calculate the remainder when 63 is divided by d.
30
What is the remainder when 13 is divided by 8*1/(-2)*-2?
5
Let r(i) = i**2 + 2*i - 1. Calculate the remainder when r(-3) is divided by 2.
0
Let c = -4 - -20. Let g = -5 - 0. Let h = c + g. What is the remainder when h is divided by 6?
5
Calculate the remainder when 5*9*(5 - 4) is divided by 23.
22
Let y(x) = 30*x**3 - x**2 + x - 1. Suppose -47 = k - 6*k - 3*b, -3*b = -k + 13. What is the remainder when y(1) is divided by k?
9
Let w = 0 + 15. Calculate the remainder when w is divided by 9.
6
Suppose 10*k + 215 = 15*k. Calculate the remainder when k is divided by 15.
13
Calculate the remainder when 72 is divided by (57/(-4))/(18/(-24)).
15
Suppose s = 2*y + 1, 3*s + y - 24 = -0*y. Calculate the remainder when 11 is divided by s.
4
Suppose 42 + 48 = 9*i. Calculate the remainder when 25 is divided by i.
5
Let c = -2 - -17. Suppose 0*q - 142 = -5*q + z, 2*q + 5*z - 73 = 0. Calculate the remainder when q is divided by c.
14
Let x = 14 - 8. Calculate the remainder when 15 is divided by x.
3
Let n be 72/33 + (-4)/22. Suppose 3*t + 2*u = -0*u + n, 3 = -5*t + 3*u. Suppose t = s + 2*s - 30. What is the remainder when s is divided by 6?
4
Suppose 6*n - 2*n - 4 = 0. Let w(a) = 14*a**3 - 2*a**2 + 2*a - 1. What is the remainder when w(n) is divided by 4?
1
Let y(u) = u**3 + 7*u**2 - 4*u + 8. Suppose -2*j - 5 = 3*w, -4*w = -2*j - 17 - 9. Let v be y(j). What is the remainder when 26 is divided by 330/v + 1/(-6)?
8
Suppose -3*x + 2*x = -4*g - 18, 6 = 5*x + g. Calculate the remainder when (x/3)/(3/36) is divided by 3.
2
Let k be 4/18 - 32/(-18). Let l(j) = j + 2. What is the remainder when 23*1*2/k is divided by l(10)?
11
Suppose 8*b - 50 = 3*b. Calculate the remainder when 47 is divided by b.
7
Let d = 1 + 4. Suppose -4*f + 4 = -d*f + 4*q, 26 = 4*f + 5*q. Suppose -3*h - 9 = -f*h. What is the remainder when 26 is divided by h?
8
Let s = -8 - -8. Suppose 3*m + 4*c - 103 = s, 2*c - 5*c = m - 41. What is the remainder when 115 is divided by m?
28
Suppose 5*c = -23 - 12. Let j(a) = 2*a**2 + a - 9. What is the remainder when j(c) is divided by 28?
26
Let k = 2 - -6. Suppose 2 = -g - q + 33, 0 = -g + 5*q + 31. What is the remainder when g is divided by k?
7
Let v(s) = s**3 + 7*s**2 + 2. Let k(a) = -a**3 + 10*a**2. Let b be k(10). Suppose -8 + b = -4*c. Calculate the remainder when c is divided by v(-7).
0
Let q = 16 - 8. Let r = 4 + 1. Suppose -r*z = -0*z - 115. What is the remainder when z is divided by q?
7
Suppose -t + 8 = -0. Suppose 31*h - 28*h = 9. What is the remainder when t is divided by h?
2
Suppose 6*v - 3*v + 2*m + 4 = 0, -5*m - 27 = -v. Let l(o) = 3*o**2 - 2*o + 1. Calculate the remainder when l(1) is divided by v.
0
Suppose -254 = -5*y + 3*w + 76, -4*y + 2*w + 262 = 0. Let x = y + -10. Calculate the remainder when x is divided by 18.
17
Suppose 5*y = 152 - 22. Calculate the remainder when 77 is divided by y.
25
Let c = 1 - -4. Suppose t - 4*y = -6 + 28, -3*y = -c*t + 59. Calculate the remainder when 19 is divided by t.
9
Suppose 5*b = 4*s - 50, -3*s + b + 73 = 2*s. Let w(l) = -2*l**3 + 5*l**2. Let c be w(4). Let k = c - -91. Calculate the remainder when k is divided by s.
13
Let r = -3 - 4. Let y(p) = p**2 + 6*p - 1. Let a be y(r). Calculate the remainder when 33 is divided by (-4)/a*27/(-2).
6
Let v(i) = 17*i. Let s(g) be the second derivative of g**4/12 + g**3/3 - g**2 - 3*g. What is the remainder when v(1) is divided by s(2)?
5
What is the remainder when (52/6)/((-2)/(-12)) is divided by 9?
7
Suppose 862 = 5*i - 53. What is the remainder when 6/(-4) + i/6 is divided by 10?
9
Let z(x) = -x - 16. Let n(s) = -s - 16. Let p(c) = 6*n(c) - 7*z(c). Calculate the remainder when 20 is divided by p(-9).
6
Suppose 4*c + 2*l - 340 = 0, 20 = 7*l - 2*l. Suppose -c = -5*r + 97. Suppose r = 3*b + b. Calculate the remainder when 25 is divided by b.
7
Suppose -4*n - n = -25. Let j = n - 3. Calculate the remainder when 5 is divided by j.
1
Suppose -161*h + 410 = -156*h. Calculate the remainder when h is divided by 29.
24
Let y = -87 - -125. Calculate the remainder when y is divided by 10.
8
Suppose -49 = -b + 4*l, 6*b - 2*l = 3*b + 167. What is the remainder when b is divided by 15?
12
Let n(a) = -3*a + 5. What is the remainder when n(-4) is divided by 26/39 + (-50)/(-6)?
8
Suppose -b = s - 40, 0 = -0*b - b + 1. Calculate the remainder when s is divided by 21.
18
Suppose 2*n - y - 67 = 7, -5*n = -2*y - 186. Suppose 5*u - 35 = 3*d, -u - d - 1 = -0*u. Calculate the remainder when n is divided by 3/6 - (-50)/u.
12
Suppose -4*j - 2*n = -76, -3*n - 32 = -2*j - 7*n. Let r(a) = -63*a**2 - 1. Let z be r(-1). Calculate the remainder when 0 - (3 + z) - 2 is divided by j.
19
Calculate the remainder when 14 is divided by ((-12)/8)/((-9)/60).
4
Let m = 25 - 18. Let i = 8 + -11. Let y = i + m. Calculate the remainder when 6 is divided by y.
2
Let w be ((-2)/(-4))/((-1)/2). Let s = 7 - w. Let q(v) = v**3 - 15*v**2 - 15*v - 2. Calculate the remainder when q(16) is divided by s.
6
Let n = -45 - -98. Calculate the remainder when n is divided by 18.
17
Let y = -20 - -30. Let x(r) = 2 + 3 - 5 + 2 + 9*r. What is the remainder when x(3) is divided by y?
9
Let z(p) be the second derivative of -3*p**3 - p**2 + 2*p. Let m = 4 + -6. Calculate the remainder when z(m) is divided by 12.
10
Suppose 4*a = -90 + 266. What is the remainder when a is divided by 16?
12
Calculate the remainder when (-1 - 5)*(-248)/16 is divided by 16.
13
Let i = -17 - -8. What is the remainder when 5 is divided by 6/i*(-1 - 2)?
1
Let i = 10 + -14. What is the remainder when 46 is divided by (i/3)/((-3)/54)?
22
Let p = 15 + -8. What is the remainder when 13 is divided by p?
6
Let r(d) = -15*d + 2. Suppose a = 4*y + 7, a + y = 3*a - 14. Calculate the remainder when r(-2) is divided by a.
4
Let m(n) = -21*n - 1. Let t(o) = o**2 - 21. What is the remainder when t(-10) is divided by m(-1)?
19
Suppose 2*d - 37 = -5. Let u = 44 + -68. Let o = 7 - u. What is the remainder when o is divided by d?
15
Suppose -2*v + 0*v = -12. Let i(c) = c**2 - 4*c + 3. Suppose y - 89 = -3*g, -2*g + y + 135 = 3*g. What is the remainder when g is divided by i(v)?
13
Suppose -t + 15 = -10. Let s = 42 - t. Let m = -18 + 27. Calculate the remainder when s is divided by m.
8
Suppose -5 = -u - 2. Suppose 8*w - u*w - 95 = 0. Calculate the remainder when 54 is divided by w.
16
Let i(k) = k + 8. Let b be i(-8). Let h be (1 - 1)/(-2 + b). Suppose h = a + 2*a - 84. Calculate the remainder when a is divided by 10.
8
Suppose -n - 5*o + 172 = 0, 3*n = -2*n + 4*o + 773. Suppose 0 = -5*v + 3 + n. Calculate the remainder when v is divided by 11.
10
Suppose 2 + 0 = -2*m. What is the remainder when m + 0 - (-57 + 1) is divided by 14?
13
Let b(n) = -n**3 + 7*n**2 + 3*n - 13. What is the remainder when b(7) is divided by 5?
3
Let d(t) be the first derivative of 7*t**3/3 + 5*t**2/2 - 2*t - 2. Let n be d(-4). Suppose 3*w + 21 = n. What is the remainder when w is divided by 8?
7
Suppose 3*n - 16 = -2*w, -n = -5*w - 3*n + 18. Let b be 3 + -1 + 0/w. Calculate the remainder when 26 is divided by 1/b*9*2.
8
Let u(m) = 3*m**2 - 2*m + 1. Suppose 2*a - 4 + 2 = 0. Suppose -x + 4 = 2. Calculate the remainder when u(a) is divided by x.
0
Let u(n) = 4*n**2 + n + 1. Let x = 6 + -11. Let y = x + 3. What is the remainder when 57 is divided by u(y)?
12
Let k(a) = -6*a - 43. What is the remainder when 62 is divided by k(-11)?
16
Let p be (-20)/6*15/(-10). What is the remai