3*l + 31. What is the remainder when l is divided by 4?
1
Suppose 0*z + 20 = z. Let s = 535 + -349. Let p = s + -128. Calculate the remainder when p is divided by z.
18
Let n be (-32)/14 + (-2)/(-7). Let t = n + 5. Suppose -t*s + 21 = 6. Calculate the remainder when s is divided by 4.
1
Let d = 16 - 7. Suppose 4*w + 8 = -0*w. Calculate the remainder when 2/(-4) - 35/w is divided by d.
8
Let b(s) = s**3 - 5*s**2 - 9*s + 3. What is the remainder when b(7) is divided by 14?
10
Suppose -36 = -2*f - 2*o, -4*o = -15 - 1. Calculate the remainder when 37 is divided by f.
9
What is the remainder when 32 is divided by (66/(-24))/((-2)/8)?
10
What is the remainder when 19 + (-1 + -1 - -1) is divided by 5*(8 - 11)/(-3)?
3
Suppose 3*g - 3*d - 18 = 0, 0 = -7*g + 3*g - 4*d. Suppose 0*p = -3*p - g, -3*p + 61 = 4*f. Let s = 112 - 66. Calculate the remainder when s is divided by f.
14
Suppose -2*w + 3*w - 27 = 0. What is the remainder when w is divided by 6?
3
Suppose 4*l + 15 = 5*d, 2*d + 1 - 7 = 2*l. Suppose -5*a - 18 = -4*s - 186, 0 = 2*s + 4. Suppose u - 5*u + a = l. What is the remainder when 15 is divided by u?
7
Let p(w) = -w**2 + 13*w - 11. Calculate the remainder when 71 is divided by p(10).
14
Let d(h) = 6*h - 6. Calculate the remainder when d(4) is divided by 1/4 + 78/8.
8
Let t(f) = 3*f**3 - f**2 + 2*f + 12. Let h be t(5). Suppose u - 5*u + h = 0. What is the remainder when u is divided by 24?
21
Let d(z) = 2*z**2 + 2*z - 1 - 2 - 1. What is the remainder when (84/(-15))/(10/(-25)) is divided by d(-3)?
6
Calculate the remainder when 10 is divided by 2/(-6) + (-152)/(-24).
4
Let g = 192 - 72. What is the remainder when g is divided by 25?
20
Let x = 44 + 0. Suppose -b = -4*w - 81, -2*b + 6*b = -2*w + 234. Suppose 4*f - b = u, -4*f - f + 78 = -3*u. Calculate the remainder when x is divided by f.
14
Let s(n) = 16*n**3 - n**2 + 1. Calculate the remainder when 62 is divided by s(1).
14
Suppose f - 84 = -3*v, 439 = 4*f + f - 4*v. Calculate the remainder when f is divided by 18.
15
Let j be ((-18)/4)/((-4)/(-8)). What is the remainder when (-1)/(-3) - 393/j is divided by 12?
8
Let x(j) = -j**3 + 6*j**2 + 8*j + 3. Let f be x(9). What is the remainder when 3 - (2 + f/3) is divided by 15?
12
What is the remainder when 216/20 + (-2)/(-10) is divided by 6?
5
Suppose -2*k - 19 = -4*k - p, 3*k - 21 = -3*p. Calculate the remainder when 58 is divided by k.
10
Suppose -16*m = -10*m - 222. Let r = -1 + 11. Calculate the remainder when m is divided by r.
7
Let q be -3 - (-9 + 3) - 3. Suppose q = -2*v + 5*v - 75. What is the remainder when v is divided by 14?
11
Let g = 30 + -18. Suppose w - 31 = -i, -14*w + 8 = -18*w. Calculate the remainder when i is divided by g.
9
Let x be 42/(-5) + 4/10. Let m = 3 - x. Calculate the remainder when m is divided by (2*(-1)/(-4))/(39/468).
5
Let o(p) = -p**3 - 3*p**2 - p - 2. Let a be o(-3). Let d be ((-34)/5)/((-3)/(-15)). What is the remainder when (a - d)*(-1 + 2) is divided by 18?
17
Let l(a) = -3*a. Let o be l(-1). Suppose -o*c = 2*c + 3*n - 35, -21 = -3*c + n. Calculate the remainder when 19 is divided by c.
5
Let u(f) = -4*f - 13*f + 2 + f. What is the remainder when u(-3) is divided by ((-17)/2)/(2/(-4))?
16
Suppose 4*z + 0*f = 4*f + 40, 0 = 5*f + 20. Let p be (3/6 + 2)*2. Suppose 5*i = -b + 15, p = -3*i - 4*b + 14. Calculate the remainder when z is divided by i.
0
Suppose -p + 10 = 3*m, 0*m + m = -p. Calculate the remainder when m is divided by 2.
1
Let h be ((-4)/(-4))/(1/(-4)). Let j = h - -12. Calculate the remainder when 13 is divided by j.
5
Let y = 2 + -2. Suppose 3*j - 108 = -3*h, -j - 2*h + 57 - 19 = y. What is the remainder when j is divided by 12?
10
Calculate the remainder when 23 is divided by 117/(-54) - (-1)/6 - -8.
5
Let u(r) = 2*r + 3. Calculate the remainder when (-1)/8 + (-579)/(-24) is divided by u(5).
11
Suppose -4*c = 5*p - 36, 0 = 3*c + 4*p - 20 - 8. Suppose 87 = c*a + 7. Suppose -2*t + 10 = -12. What is the remainder when a is divided by t?
9
Suppose o = 4*h + 15 - 64, 3*h + o = 35. What is the remainder when 32 is divided by h?
8
Let b(c) = 9*c + 4. Suppose 12 = 2*r + 4. Let k be (0 + -3)/((-3)/r). What is the remainder when b(k) is divided by 14?
12
Let t be 10/(-4)*(-144)/40. Calculate the remainder when 3 is divided by (t/3 + -6)/(-1).
0
Let n = 149 + -72. Calculate the remainder when n is divided by 13.
12
Suppose -4*s - 3*k = -k + 132, 2*s + 62 = -3*k. Let q = 62 + s. Calculate the remainder when 55 is divided by q.
27
Let j(r) be the third derivative of r**4/12 + 5*r**3/2 + 5*r**2. Calculate the remainder when j(0) is divided by 9.
6
Suppose 5*u - 5*h = 115, -2 + 4 = -h. Calculate the remainder when 60 is divided by u.
18
Let l = 218 + -210. Let o = -2 - -4. Suppose -o*g - 2 = -12. Calculate the remainder when l is divided by g.
3
Suppose 0 = -t + 5*t - 12. Suppose 3*j + 4*s - 33 = 0, -t*j + 3*s + 33 = 4*s. Calculate the remainder when 30 is divided by j.
8
Suppose -21 = -33*g + 32*g. What is the remainder when 37 is divided by g?
16
Let t(j) = -j**2 + 6*j + 6. Suppose 0 = -4*y + 17 + 3. What is the remainder when t(y) is divided by ((-2)/6)/(7/42) - -6?
3
Let l be 4/(5 - 3) + -2. What is the remainder when 31 is divided by l/(3/(-1)) + 11?
9
Let c(q) = q**2 - 5*q - 9. Let x be c(7). Suppose -x*p = -3*i + 35, -5*i + 5 = -4*i. What is the remainder when 36 is divided by p/10 - 194/(-10)?
17
Let x be (-24)/(-3) + 2 - -1. Suppose k = 5*t, -5*k + 4*t + x = -10. Suppose k*v + 10 = -g, -4*g + 5*v + 56 = v. What is the remainder when 19 is divided by g?
9
Suppose 4*i - 31 = 3*t + 141, -4*t + 215 = 5*i. Calculate the remainder when i is divided by 5.
3
Let v(y) = y**2 - 4*y - 5. Let u be (-5)/(-10) + 11/2. Let o = 64 + -44. What is the remainder when o is divided by v(u)?
6
Let o(y) = -y**3 + 25*y**2 - 19*y + 23. Calculate the remainder when o(24) is divided by 8.
7
Calculate the remainder when 18/45 - (-78)/5 is divided by 9.
7
Let f(i) = i**2 - 6*i + 9. Let c be f(6). Let m = c - 2. What is the remainder when m is divided by 3?
1
Let t = -12 + 15. Let o = 1 + t. Calculate the remainder when o is divided by 2.
0
Let a(z) = -z**2 - z - 2. Let l be a(-6). Let o = 53 + l. What is the remainder when 81 is divided by o?
18
Let v = 8 - 6. Suppose -y + v = -3. Suppose 6*g - y*g - 22 = 0. Calculate the remainder when g is divided by 6.
4
Calculate the remainder when 14 is divided by ((-4)/(-2) - (-8 + 6)) + -1.
2
Suppose 168 = 3*l + 2*u, 3*l + 5*u - 154 - 23 = 0. What is the remainder when 267 is divided by l?
51
What is the remainder when 2/(-10) - 468/(-90) is divided by 4?
1
Let y(u) = -u**3 + 2*u**2 + u + 1. Let w be y(0). Let a be (-10)/(-4) - (-2)/4. Let r = a - w. What is the remainder when 7 is divided by r?
1
Let u(z) = z**3 + 9*z**2 + 2. Let w be u(-9). Suppose -w*r + 21 = -45. What is the remainder when r is divided by 18?
15
Suppose 4*j - 31 = -3*q + 8*j, 0 = -2*j - 2. Calculate the remainder when 16 is divided by q.
7
Suppose 156 = 5*u + 1. Let w = 179 + -88. What is the remainder when w is divided by u?
29
Suppose 3*x + 3*y - y = -2, -4*x = y + 1. Suppose x = -3*i - 3*t + 64 - 4, -3*i = 2*t - 58. Let s = -11 + i. What is the remainder when 20 is divided by s?
6
Suppose -5*i + l + 63 - 19 = 0, -4*i + 28 = l. Calculate the remainder when 21 is divided by i.
5
Let s(x) = 16*x**2 - 2*x - 1. What is the remainder when 24 is divided by s(1)?
11
Suppose 3*x = -x + 20. Suppose -x*a = -73 - 137. Calculate the remainder when a is divided by 22.
20
Let l = -181 + 225. Calculate the remainder when l is divided by 17.
10
Let m = -48 - -78. Calculate the remainder when m is divided by 17.
13
Suppose -17 = -6*l + 25. What is the remainder when 201 is divided by l?
5
Suppose -4*l = 11 + 9, 0 = 2*p - 3*l - 49. What is the remainder when 32 is divided by p?
15
Suppose -3*f + 3*m + 48 = 0, -4 = 3*m - m. What is the remainder when 41 is divided by f?
13
Let l be (-16)/3 + 3/9. Let p = 7 + l. Suppose -p*h = -3*h + 2. What is the remainder when h is divided by 2?
0
Calculate the remainder when 0/(3 + 0 + -4) - -14 is divided by 11.
3
Suppose 34 = 2*l + 2. Let b = 25 + -16. What is the remainder when l is divided by b?
7
Let f(u) = u**2 - 6*u - 16. What is the remainder when f(9) is divided by 4?
3
Let d(r) = 10*r 