= -b + a, 4*a = -4*b - 0*a + 184. What is the remainder when b is divided by x?
21
Let t be 62/8 + (-3)/(-12). Let c(v) = v**2 - 6*v - 6. Let o be c(7). Calculate the remainder when 15 is divided by (0 - t*-1)*o.
7
Let g be ((-3)/2)/(6/8). Calculate the remainder when 1 + (-90)/(g + -1) is divided by 11.
9
Suppose 0 = -3*x + 4*x. Suppose -3*s + t = -18, -4*t + 0 = 3*s - 3. Suppose x*z + 5*z + 100 = s*k, 3*k - 50 = z. What is the remainder when k is divided by 8?
7
Suppose -23 = -4*d - 3. Let k(a) = a**3 - 2*a**2 - 6*a - 7. Let f be k(d). Suppose o - 3*o = -f. Calculate the remainder when o is divided by 10.
9
Let a(c) = 6*c**2 - 2*c - 1. Suppose 15 = 4*y + y. Suppose o + 20 = y*o. Calculate the remainder when a(2) is divided by o.
9
Let i(h) be the third derivative of 0*h + 0 + 1/4*h**4 + 1/3*h**3 - h**2. Calculate the remainder when 39 is divided by i(2).
11
Let p(v) = v**3 + v + 26. Let m(r) = -r**3 + 14*r**2 - 14*r + 22. What is the remainder when p(0) is divided by m(13)?
8
Let d(f) be the third derivative of f**4/12 + 2*f**3 + 2*f**2. What is the remainder when d(0) is divided by 9/3 - (-2 + 0)?
2
Suppose 5*p = -0*p - 10. Let a = p - 0. What is the remainder when (-43)/a + 2/4 is divided by 12?
10
Let h(u) = 4*u**3 + 7*u**2 - 9*u + 3. Let p(z) = 2*z**3 + 3*z**2 - 4*z + 1. Let a(t) = 2*h(t) - 5*p(t). What is the remainder when 15 is divided by a(-2)?
6
Let y = 5 + -2. What is the remainder when 40/12 - 8/(-12) is divided by y?
1
Suppose 8*x = 6*x + 196. What is the remainder when x is divided by 34?
30
Let y = 2 - -2. Suppose -3*w - 3*d = -6, -5*w + 2*w - 6 = -d. Let h = w + 11. Calculate the remainder when h is divided by y.
2
Let q(i) = i**2 + 2*i - 1. Let g be 2/5 + (-39)/(-15). Calculate the remainder when 11/((-11)/(-36)) + 4 is divided by q(g).
12
Let g = 24 + -19. Let k(c) = c**3 - 5*c**2 + 4*c + 2. Let v be k(4). Suppose -z + 16 = v. Calculate the remainder when z is divided by g.
4
Suppose 5*y = -4*k + k + 43, 0 = 5*k + 4*y - 76. Suppose 0*u = u - k. What is the remainder when 30 is divided by u?
14
Calculate the remainder when 91 is divided by 46/(4/(2/1)).
22
Suppose 0 = o - 2*o + 31. Let f be 0/(-1) + -3 - -2. Let z = f + o. What is the remainder when z is divided by 8?
6
Suppose 0 = 2*p - p - 29. Suppose y - 5 = -3. Suppose -4*h = -h + 2*m - 38, -2*h = y*m - 28. Calculate the remainder when p is divided by h.
9
Let f(b) = -b**3 + 14*b**2 + 14*b + 22. What is the remainder when 19 is divided by f(15)?
5
Let a(q) = -q + 28. What is the remainder when 96 is divided by a(11)?
11
Calculate the remainder when ((-32)/3)/((-12)/18) is divided by 9.
7
What is the remainder when (15/(-5))/((-3)/15) is divided by 7?
1
Suppose -8 = -5*a - 2*q + 27, 4*a - q - 28 = 0. Suppose 3*u = a*u - 32. Let g(x) = x**3 + 3*x**2 - x + 2. Calculate the remainder when u is divided by g(-3).
3
Let c = -3 - -5. Calculate the remainder when 2*c/(-4)*-34 is divided by 18/7*126/27.
10
What is the remainder when ((-10)/4)/((-2)/72) is divided by 13?
12
Let g be (-15)/(-1)*2/6. Let r = g - 0. Calculate the remainder when 19 is divided by r.
4
Suppose 2*l = -2*l - 24. Let y = 1 - l. What is the remainder when 20 is divided by y?
6
Suppose 0 = -t + 8*t - 224. Calculate the remainder when t is divided by 9.
5
Let h(m) = 19*m**2 + m - 2. What is the remainder when 1*1/(-1)*-35 is divided by h(1)?
17
Let n = -50 - -70. Let b = 38 - -3. Calculate the remainder when -3 - -1 - (0 - b) is divided by n.
19
What is the remainder when 10/(-6) + 1168/24 is divided by 17?
13
Suppose -3*t + 27 = -42. What is the remainder when ((-3)/(-5))/(10/(-50)) + 47 is divided by t?
21
Let l(b) = 9*b**3 + 4*b - 4*b**3 - 2*b**2 + 1 + 3 - 6. What is the remainder when l(2) is divided by 20?
18
Calculate the remainder when 8 is divided by (-9)/(-2) + 3/(-6).
0
Let m(a) = a**2 - a - 6. Suppose -3*l = 2*l - 70. Suppose 40 = c + l. Calculate the remainder when c is divided by m(-4).
12
Suppose 3 = 2*u - 9. Calculate the remainder when 23 is divided by u.
5
Let y(d) = d**2 - 2*d - 6. Calculate the remainder when 34 is divided by y(5).
7
Suppose -3*x + 7 - 49 = 0. Calculate the remainder when 23 is divided by (-116)/x + (-2)/7.
7
Let x(o) = 2*o**3 - 2*o + 2. What is the remainder when 39 is divided by x(2)?
11
Let y(m) = -35*m + 1. Calculate the remainder when y(-2) is divided by 18.
17
Suppose -5*o + 360 = 2*p, 0*o + 2*p - 216 = -3*o. Calculate the remainder when o is divided by 25.
22
Let z be 3 + (-3 - (0 - 546)). What is the remainder when z/8 + (-3)/12 is divided by 18?
14
Let r be 21/(2 - 5) - -3. Suppose h = -h + 60. Calculate the remainder when h is divided by 2/r - (-396)/24.
14
Let c = 8 + -6. Suppose -4*t = c*n - 7*t - 49, -n + 27 = -4*t. What is the remainder when n is divided by (-1 - 0)*-1 - -7?
7
Let h be -12 + 1 + 1 + 2. Let j(o) = -o**3 - 7*o**2 + 6*o - 2. Calculate the remainder when 40 is divided by j(h).
12
Let o be (-1)/(0 + (-3)/15). Suppose o*z - 13 = 27. Let p = -10 - -15. Calculate the remainder when z is divided by p.
3
Let d = -3 + 11. Calculate the remainder when 28 is divided by d.
4
Calculate the remainder when (1/2)/((-1)/(-156)) is divided by 27.
24
Let z be 235/(-15) - 2/(-3). Suppose -u + 2*k - 3*k - 8 = 0, -2*k = 4. What is the remainder when 28 is divided by 96/10 + u/z?
8
Suppose 4*g = 24 + 20. Calculate the remainder when 20 is divided by g.
9
Let o(y) be the second derivative of y**4/12 + 3*y**3/2 - 15*y**2/2 - 8*y. Calculate the remainder when o(-11) is divided by 2.
1
Suppose 4*k - 20 = -0*k. Suppose -4*w = -k*w + 1. Calculate the remainder when 2 is divided by w.
0
Suppose -5*y + d + 68 = 0, 0*y + d + 12 = y. Calculate the remainder when 52 is divided by y.
10
What is the remainder when 144/15 + 7/(35/2) is divided by 4?
2
Let b be 0/(-1 + -1) - -149. Suppose -b = -4*g - 25. Calculate the remainder when g is divided by 8.
7
Suppose 11*n - 778 = -107. What is the remainder when n is divided by 21?
19
Let v be -3 + 10 - 1*3. Calculate the remainder when (2/v - 0)*10 is divided by 0 + (-2)/2 - -4.
2
Let y(f) = f + 2. Let l(b) = b. Let v(t) = -3*l(t) + y(t). Let i be v(-2). Calculate the remainder when (i/(-5))/(3/(-80)) is divided by 11.
10
Suppose -4*d - f + 51 = -10, 2*d + 4*f = 34. Calculate the remainder when d is divided by 6.
3
Let t(p) = 50*p**2 + p + 1. What is the remainder when t(-1) is divided by 17?
16
Suppose 0*o + o = 5, 15 = 2*c - 3*o. What is the remainder when c is divided by 8?
7
Suppose -v + 19 = -10. Calculate the remainder when v is divided by 16.
13
Let z = 5 - -4. Let r(f) = -26*f**3 - 2*f**2 - 2*f - 1. What is the remainder when r(-1) is divided by z?
7
Let j(o) = -o**3 - 3*o**2 + 5*o + 6. Suppose -5 - 7 = 3*h. Let b be j(h). Calculate the remainder when 3 is divided by 1 + b + (-4 - -3).
1
Suppose 105 + 15 = 4*q. Let i = 7 - 4. Calculate the remainder when q is divided by i/3 + (1 - -14).
14
Suppose -4*t = 5*u - 2*u - 6, 3*u - 5*t = 33. Suppose -2*a = -u, 4*j - 26 = 3*a - 91. What is the remainder when 70 is divided by 6/21 - 332/j?
22
Suppose 4*c = 14 + 6. Calculate the remainder when 8 is divided by c.
3
Let n = 40 + 17. Let o = -32 + n. Suppose 0 = -5*q - h + 2*h + 46, -15 = -2*q - 3*h. What is the remainder when o is divided by q?
7
What is the remainder when 129 is divided by (3 + 12)/1 - 2?
12
Let o(l) = l**3 + 15*l**2 - l - 13. Let y be o(-15). Suppose -a + 5*a - 74 = -y*q, -3*q - a = -101. What is the remainder when q is divided by 9?
6
Let w(i) = -i - 7. Let c be w(-8). What is the remainder when c - (2 + -1) - -25 is divided by (-1 - 4*2)/(-1)?
7
What is the remainder when 113 is divided by (46/8)/((-24)/(-96))?
21
Let a be (45/(-5))/(6/(-4)). Let l = -2 + a. Suppose -2*q + l*q - 53 = -5*m, -3*m - 3*q + 30 = 0. Calculate the remainder when 31 is divided by m.
9
Suppose -s - s + 10 = o, s + 5*o - 23 = 0. Suppose 2*b + 33 = 4*q - 21, -3*b = s*q - 18. What is the remainder when 19 is divided by q?
8
Let m = -3 + 13. What is the remainder when 58 is divided by m?
8
Suppose -3*x = 2*r - 15, -11 = -2*x + 4*r - 1. Let t = 3 - 0. Calculate the remainder when x is divided by t.
2
Suppose 0 = 4*f - 2*f + j - 26, f = -5*j + 13. Calculate the remainder when ((-20)/130 + 487/39)*3 is divided by f.
11
Suppose -4 + 14 = 2*x. Let t(g)