n 4/(-14) - (-500)/35 is divided by 4.
2
Let z be (12/(-9))/((-2)/(-33)). Let x = -4 - z. What is the remainder when x is divided by 10?
8
Suppose -31 = -2*s - 3. Suppose -2*i - a + 124 = i, 0 = -2*i + 3*a + 79. What is the remainder when i is divided by s?
13
Calculate the remainder when 54 is divided by ((-25)/5 - -4)*-19.
16
Suppose 2*b - 42 = -2*k, 2*b + 6*k - 51 = k. Let h = 23 - b. What is the remainder when 14 is divided by h?
4
Let k(p) = p**2 - 7*p - 13. Let y be k(9). Let j(t) = 11*t**2 - 2*t. Let q be j(-3). Suppose y*a = q + 25. What is the remainder when a is divided by 9?
8
Let a(t) = 4*t + 2. Calculate the remainder when 53 is divided by a(4).
17
Suppose -86 = -7*w + 89. What is the remainder when (-98)/2*(-3 + 2) is divided by w?
24
Let d(a) = -a - 1 + 4 + 0*a**2 + a**2. Let h be d(-3). Suppose -h = -5*x - 4*g + 8, 4 = 2*x - g. What is the remainder when 8 is divided by x?
2
Let z(y) = -y**2 + 12*y - 8. Let r be z(11). Calculate the remainder when 61 is divided by (-4)/(-6) + 61/r.
19
Suppose 61 = 5*g - 114. Calculate the remainder when g is divided by 18.
17
Suppose 2*n - 5*n - 4 = 5*v, 4*n - 5*v = 18. Calculate the remainder when 4 is divided by n.
0
Let w be 5/2*(-64)/(-80). Suppose -5*f = m + 9, 2*m - w*f - 24 = 2*f. What is the remainder when 11 is divided by m?
5
Let h be (12/(-9))/(2/(-3)). Suppose -h*p + 5*g = 1 - 83, -186 = -4*p - g. What is the remainder when p is divided by 12?
10
Suppose -5*h = 16 - 46. Suppose 4*i - 2*p = 26, p - 8 = 4*i - 39. What is the remainder when i is divided by h?
3
Let y(w) = w - 1. Calculate the remainder when 71 is divided by y(13).
11
Let p be (-16)/(-2) + (-10 - -9). What is the remainder when p/(-3)*(-6 + 3) is divided by 2?
1
Let x = 24 + -14. Let y = x - 1. What is the remainder when 26 is divided by y?
8
Let m = 14 - 6. Calculate the remainder when 15 is divided by m.
7
Suppose 0 = 3*l + l - 36. What is the remainder when 32 is divided by l?
5
Suppose -r + 46 = -30. What is the remainder when r is divided by 26?
24
Let g = 30 + -10. Let q = 2 + 9. What is the remainder when g is divided by q?
9
Suppose -2*l + 4*f = 8*f - 28, -4*l - 3*f + 41 = 0. Calculate the remainder when 46 is divided by l.
6
Let r = -6 - -11. Calculate the remainder when 12 is divided by 7/35 - (-34)/r.
5
Let j(d) be the third derivative of d**6/10 - d**5/60 + d**4/24 + 3*d**2. Calculate the remainder when 35 is divided by j(1).
11
Let o(y) be the first derivative of -2*y**2 + 1 - 4/3*y**3 - 1/4*y**4 - 3*y. What is the remainder when 37 is divided by o(-4)?
11
Suppose 0 = 3*o + 5*q - 242, 0 = -3*o - q - 24 + 250. What is the remainder when o is divided by 19?
17
Suppose 0 = -4*p + 4*x + 144, -2*p = x + 3*x - 84. Let w = -19 + p. Let n = -12 + 68. Calculate the remainder when n is divided by w.
18
Let w(r) = r**2 + 5*r - 9. Calculate the remainder when 89 is divided by w(-8).
14
Let s(t) be the third derivative of t**5/60 - t**4/12 - t**3 + 7*t**2. Calculate the remainder when 89 is divided by s(6).
17
Suppose 0 = 3*z + 3, -2*m + 2*z + 0*z + 20 = 0. What is the remainder when 34 is divided by m?
7
Suppose 4*x - x = 99. What is the remainder when x is divided by 17?
16
Let d = 15 - 9. Suppose -g = -d*g + 5. What is the remainder when 19 is divided by g/(0 + (-3)/(-21))?
5
Let z = 40 - 28. Calculate the remainder when 51 is divided by z.
3
Suppose 0 = -5*h - 65 + 205. What is the remainder when 136 is divided by h?
24
Let a(p) = p**2 - 10*p + 11. Suppose 36 = 4*l - 0. Calculate the remainder when (4 + -1 + 0)*1 is divided by a(l).
1
Let x(r) = r**3 - 4*r**2 + 3*r - 6. Calculate the remainder when 27 is divided by x(4).
3
Let z be 1/3 + 104/12. Suppose -5*j + 36 + z = 0. Calculate the remainder when 26 is divided by j.
8
Let q = -28 - -48. What is the remainder when q is divided by 7?
6
Let j(w) = 19*w**3 + w**2 - 2*w. Let g be j(2). Suppose -3*r + g + 352 = 0. Let o = r + -110. Calculate the remainder when o is divided by 20.
18
What is the remainder when 30 is divided by 4/(-6) + (-385)/(-33)?
8
Suppose -139 = -3*x + 4*h, 8*x - 144 = 4*x - 5*h. What is the remainder when x is divided by 22?
19
What is the remainder when 38 is divided by 8 + -2 + (-16)/(-4)?
8
Let s be 3/((-11)/6 + 2). What is the remainder when 688/s - (-10)/(-45) is divided by 10?
8
Let a(d) = d + 6. Let t be a(0). Suppose -2*m = -3*m - t. Calculate the remainder when (2*-29)/(m + 4) is divided by 8.
5
Suppose -2 = -2*h + b, 2*h - h = -3*b + 8. Suppose 3*p + 2*n = 66, h*n = 3*p - 2*n - 84. Calculate the remainder when 47 is divided by p.
23
Let b(r) = r**2 + 5*r + 3. Let i be b(-6). Calculate the remainder when ((-84)/35)/(i/(-120)) is divided by 11.
10
Let m = -25 + 383. Let y = m - 165. Calculate the remainder when y/3 + (-6)/(-9) is divided by 22.
21
Suppose 54 = 3*a + 4*l, a - 3*a = l - 41. Suppose 6*k + 2 = 4*k. Calculate the remainder when a is divided by 2/(-3)*(-17 + k).
10
Let m = 36 + -10. What is the remainder when 127 is divided by m?
23
Let n be 7 - 1/(3/6). Suppose n*r - 36 = 24. Suppose h - 4*x - 15 = 0, h + x - 2 - 3 = 0. Calculate the remainder when r is divided by h.
5
Let m = 53 + -45. What is the remainder when (-2)/7 + 219/7 is divided by m?
7
Suppose 109 + 39 = 2*z. Let r be (5 - (2 - 0)) + 1. Suppose 0 = -3*g - 9, r*n - 5*n = -5*g - 34. What is the remainder when z is divided by n?
17
Let t be 1 - 4*(0 + -2). Let v = 11 - t. Suppose -2*a = -v*n + 116, a + 2*a + 113 = 2*n. What is the remainder when n is divided by 21?
19
Suppose 37 = 5*q - 48. Calculate the remainder when 48 is divided by q.
14
Let n = 330 - 214. What is the remainder when n is divided by 13?
12
Let n be (-42)/(-35)*15/3. Calculate the remainder when 62 is divided by (-1)/n + (-889)/(-42).
20
Let y = -16 - -10. Calculate the remainder when 11 is divided by ((-18)/12)/(y/16).
3
Let o(c) = c**2 - 3*c - 6. Let s be o(5). Suppose -4*p + 5*y = -30, s*y = -4*p + 2 + 10. What is the remainder when 7 is divided by p?
2
Let w be (-1 + -7)/((-2)/4). Suppose 3*a + 5*r = w, 4 = -a - 5*r + r. Calculate the remainder when 23 is divided by a.
11
Let l be ((-45)/10)/(9/(-12)). Suppose -k - 3*c + 42 = 0, -l*k + c + 166 = -3*k. Calculate the remainder when k is divided by 14.
12
Calculate the remainder when 67 is divided by (4 - 156)/(-4) + -4.
33
Suppose 10 = -6*h + 160. What is the remainder when h is divided by 3?
1
Suppose f = -3*f - 12. Let k = 10 + f. Calculate the remainder when k is divided by 3.
1
Let n(z) = -2*z + 5. Let v be n(4). Let h = 9 + v. What is the remainder when h is divided by 4?
2
Let x be (1 - (1 - -1))*0. Let t = -12 + 17. Suppose x = -u + t + 6. What is the remainder when 21 is divided by u?
10
Suppose -6 = -z - 2*z. Suppose -3*q + 2*k + 16 = 0, 5*k + 27 = 2*q - 2. Suppose 5*b - 18 = q. Calculate the remainder when b is divided by z.
0
Suppose -t = -4*t + 18. Suppose 0 = 3*h + 5 - 32. Calculate the remainder when t/36 - (-197)/6 is divided by h.
6
Let o = 2 + -5. Let s = o + 5. Suppose 7 = s*q - 1. What is the remainder when q is divided by 3?
1
Let o be -19 - -1 - 0 - -2. Let s(f) = -2*f**3 - 4*f**2 + 2*f + 1. Let r be s(2). Let d = o - r. What is the remainder when 32 is divided by d?
10
Suppose z - 37 = -2*u, u = 3*z - 1 - 103. What is the remainder when z is divided by 12?
11
Calculate the remainder when 45 is divided by 1/(-2) - 52/(-8).
3
Calculate the remainder when 72 is divided by (-146)/(-6) + 2/3.
22
Let h(c) = 2*c**2 + 6*c + 3. What is the remainder when 29 is divided by h(-4)?
7
Suppose -352 = -4*o + 2*w, 0 = -3*o - w - 2*w + 246. Suppose -7 + 2 = -5*u, 5*l + u - o = 0. What is the remainder when 49 is divided by l?
15
Let c(x) = x**2 - 3*x + 10. Let z be c(7). Suppose 0 = -0*l + 2*l + 2*f - z, l = -3*f + 29. Let r(g) = -g. What is the remainder when l is divided by r(-5)?
4
Let b(z) = -4*z. Let g be b(-1). Suppose -g*h = -0*h - 196. Calculate the remainder when h is divided by 17.
15
Let u be (-4 + 0)*2/4. Let t = 3 + u. Let q = 3 - t. What is the remainder when q is divided by 1?
0
Let v be 0*(15/(-6))/5. Suppose 2*a = -v*a + 16. Suppose s - 18 = 4. Calculate the remainder when s is divided by a.
6
Let x = -214 + 339. Suppose 3*k - 3 = 0, 2*z - 5*k - x = -0*k. What is the remainder when z is divided by 22?
21
Suppose -2*y + 0*h 