 when y is divided by 10.
8
Let z = 102 - 68. Suppose 5*o + z = 7*o. Calculate the remainder when 65 is divided by o.
14
Suppose 0 = 3*y + 26 + 1. What is the remainder when ((-66)/y)/((-2)/(-6)) is divided by 6?
4
Let w(g) = 4*g**3 - 5 + g + 3*g**3 + 29 - 6*g**3. Suppose 2*d + 2*b - 34 = 0, 0*b - 10 = -2*d + 4*b. What is the remainder when w(0) is divided by d?
11
Suppose -h + 16 = j, 2*h + 4*j = -22 + 62. Calculate the remainder when 31 is divided by h/18 + (-98)/(-6).
14
Suppose 5*v + 53 = -27. Let q = -8 - v. Calculate the remainder when (-3 - (20 - 0))*-1 is divided by q.
7
Let l = 114 - 83. Calculate the remainder when l is divided by 11.
9
Calculate the remainder when (19/(-3))/((-3)/27) is divided by 20.
17
Let k = -5 + 14. What is the remainder when k is divided by 3 + (0 + 1 - -2)?
3
Let x = -31 + 36. Calculate the remainder when x is divided by 2.
1
Let z(h) = -h**3 - 8*h**2 - 8*h + 4. Let q be z(-6). Let g = q + 32. What is the remainder when (-8)/(448/(-1272)) + (-4)/(-14) is divided by g?
11
Suppose 0 = 4*f - 5*y + 109, -4*f + 3*y = -y + 104. Let p = -7 - 3. Let x = p - f. What is the remainder when x is divided by 4?
3
Let r be (-4)/(-3)*(3 - 0). Let h = r + -2. Suppose -6 = -0*y - h*y. Calculate the remainder when y is divided by 2.
1
What is the remainder when 110 is divided by (-2)/(-1 + -1) + 1 - -12?
12
Let g(y) = -y**3 + 8*y**2 - 9*y - 6. What is the remainder when 154 is divided by g(6)?
10
Suppose 0 = k + 3*w + 21, 52 = -4*k - 0*w - 4*w. Let m(a) be the second derivative of -a**3/3 + 11*a**2/2 - a. What is the remainder when m(k) is divided by 15?
14
Let o(w) = w + 15. Suppose -6*r + 5*r = 0. Calculate the remainder when 27 is divided by o(r).
12
Let b(w) be the first derivative of 3*w**4 - w**3/3 + w - 2. What is the remainder when b(1) is divided by 7?
5
Let s = 284 - 204. What is the remainder when s is divided by 3?
2
Let u(x) = 5*x**2 - 2*x. Let r be u(-2). Let v = r + -10. Suppose -2*p + 68 = -3*l + 201, 5*l = -3*p + 190. Calculate the remainder when l is divided by v.
13
Let w = -7 - -10. Suppose 66 = w*x - 60. Calculate the remainder when x is divided by 11.
9
Let p = -15 - -25. Calculate the remainder when 354/14 - 8/28 is divided by 3 - (4/(-4) - p).
11
Suppose -3*p - 18 = -4*p. What is the remainder when 178 is divided by p?
16
Calculate the remainder when 82 + (2 - 2)/(-4) is divided by 21.
19
Suppose 2*h = 3*k - 6, -6*h + 2*h = 2*k - 20. Suppose -4*f + 6*w = w - 25, -k*f - 3*w + 17 = 0. Calculate the remainder when 18 is divided by f.
3
Let w(r) = r + 3. Let y be w(0). Suppose y*d + 3*h - 18 = 0, 2*h = d + 4*h - 9. Calculate the remainder when (3/(-6))/(d/(-6)) is divided by 1.
0
Suppose -110 = -4*k - 14. Let j = k + -9. Let c(h) = 2*h**2 + 8*h + 5. Calculate the remainder when c(-6) is divided by j.
14
Suppose 2*s + u = 3*s - 4, u = -5*s + 44. Suppose 2*f - 210 = -13*f. Calculate the remainder when f is divided by s.
6
Suppose 0 = 3*z + 5*u - 221, -4*z + 4*u + 0*u = -252. What is the remainder when z is divided by 24?
19
Let i = -20 - -23. Let z be (1 - 1)/(2 + -1). Suppose z*y - 7 = -y. Calculate the remainder when y is divided by i.
1
Suppose 3*w - w = -2, -4*w = 2*y - 82. Let d = 13 + 2. Calculate the remainder when y is divided by d.
13
Let h = -17 + 22. What is the remainder when 13 is divided by h?
3
Let p be ((9 - 3)/(-1))/2. Let i be -56*1*p/6. Suppose i - 4 = 4*u. Calculate the remainder when 11 is divided by u.
5
Let b = -40 - -72. Suppose -4*n = -2*n - b. Calculate the remainder when n is divided by 9.
7
Let d be (-18)/(-1)*4/3. Suppose g + d = 5*g. Suppose 0 = g*u - 11*u + 45. What is the remainder when 26 is divided by u?
8
Let p = -99 - -120. Calculate the remainder when 62 is divided by p.
20
Suppose 0 = k - 4*h - 7, -13 + 3 = -5*k - 5*h. Suppose 3*m - 21 = k. Let n = m - 3. What is the remainder when 8 is divided by n?
3
Let o = -7 + 13. Let s(c) = -5*c**2 + 13*c - 2. Let b(p) = 3*p**2 - 6*p + 1. Let i(x) = o*s(x) + 13*b(x). Calculate the remainder when i(2) is divided by 13.
11
Suppose -4*m = -2*m - 36. Calculate the remainder when (-2)/12 + 129/m is divided by 2.
1
Suppose 0 = 8*v - 155 + 3. Calculate the remainder when 74 is divided by v.
17
Suppose 0 - 6 = -3*n. Suppose -3*o - 3 = 0, 7 = 3*i + 2*o - 0. What is the remainder when -2*(-2)/i*3 is divided by n?
0
Let x(z) = z**3 + 4*z**2 + 4*z - 1. Let w be x(-3). What is the remainder when 369/(-36)*(w + 0) is divided by 14?
13
Let d(w) = 270*w**3 - 2*w. Let a be d(2). Calculate the remainder when (-4)/(-10) - a/(-35) is divided by 21.
20
Let o = 23 + -4. What is the remainder when 113 is divided by o?
18
Let d(b) = -b**3 + 5. Let t be d(0). Suppose -2*m + 70 = 5*w, -w - 2*w + 42 = -t*m. Suppose 0*u - u + 40 = 0. What is the remainder when u is divided by w?
12
Let v(x) = -x**2 + 18*x + 4. Calculate the remainder when v(16) is divided by 13.
10
Let s = -178 - -182. Let m(z) = z**2 - 5*z + 9. Let p(i) = i**2 + i. Let y be p(2). What is the remainder when m(y) is divided by s?
3
Suppose -4*v + c - 102 = 23, 5*v - c = -157. Let r = -129 + v. Let d = r + 228. Calculate the remainder when d is divided by 23.
21
Suppose 3*h = -4*o - 0 + 29, -5*o + h = -22. Suppose 7*g - 3*u = 2*g + 80, g = -o*u + 16. Calculate the remainder when g is divided by 9.
7
Suppose -11*d = -8*d - 33. Suppose 4*w - 49 = 35. What is the remainder when w is divided by d?
10
Calculate the remainder when 22 is divided by -2 + 12/3 + (-4 - -8).
4
What is the remainder when 47 is divided by (4*-1)/(1*(-1)/4)?
15
Suppose z - 3*z + 5*l = -37, 0 = -z - 5*l + 56. Let a = -278 + 295. Calculate the remainder when z is divided by a.
14
Let y(v) = -14*v - 3. What is the remainder when y(-1) is divided by 6?
5
Suppose -o + 3 = 4. Suppose -l + 33 = -3*z + l, -27 = 2*z - 3*l. Calculate the remainder when 19 is divided by (-1)/(o - z/10).
9
Suppose 6*t - 2*t = 124. Calculate the remainder when t is divided by 11.
9
Suppose -j + c + 5 = 3*c, -2*c + 44 = 4*j. Calculate the remainder when 26 + -1 + -3 + 2 is divided by j.
11
Let k(h) = 55*h + 15. Calculate the remainder when k(3) is divided by 46.
42
Suppose 3*h + 7 = 2*r + 20, -h + 21 = -4*r. Calculate the remainder when 1 is divided by h.
0
Let a(d) = -2*d - 7. Let v be a(-6). Suppose -2*i - 2*i + v*y = -170, 51 = i + 3*y. Calculate the remainder when i is divided by 12.
9
Let j(d) = d**2 - 4*d - 1. Let n be j(5). Suppose -n*i + 14 = -90. Suppose 3*k + 33 = 2*f + 2*f, 3 = 3*k. What is the remainder when i is divided by f?
8
What is the remainder when (-1)/((-3)/33) - -4 is divided by 10?
5
Suppose c = -p - 5 + 3, 3*p - 5*c = 18. Let b = 36 - 19. Calculate the remainder when b is divided by p/(-2)*(-36)/3.
5
Let w(i) = i**2 + 8*i - 17. Let a = 12 + -22. Calculate the remainder when w(-12) is divided by 114/10 + 4/a.
9
What is the remainder when 151 is divided by (-4 + (-15)/(-6))/((-3)/76)?
37
Suppose -3*k - 5*n = -5*k + 5, 3*n = k - 2. Suppose -2*r = -3*g + g + 38, -3*g = -k*r - 65. Let o = -13 - -41. What is the remainder when o is divided by g?
13
Let k(n) = -n**2 + n + 7. Let u = 20 + -17. Calculate the remainder when 14/18 + (-2)/(-9) is divided by k(u).
0
Let t = -7 + 13. Let z be 7 - -6*4/(-12). Let c = t + z. Calculate the remainder when c is divided by 4.
3
Suppose -5 = -4*b + 5*b. Let k(s) = 4*s + 21. Let i(x) = x + 5. Let g(q) = -9*i(q) + 2*k(q). What is the remainder when 2 is divided by g(b)?
0
Calculate the remainder when 5*10/(-275) + 444/22 is divided by 7.
6
Suppose 34 = 3*x - 4*w, -6 - 69 = -5*x + 3*w. Let u(z) = -4*z + 7. What is the remainder when u(-7) is divided by x?
17
Suppose 31 = 4*t + d + 7, 3*t = -2*d + 23. What is the remainder when t is divided by 1?
0
Let l(q) = -2*q - 13. Let d be l(-10). Suppose d + 8 = -5*s. Let f = s + 4. Calculate the remainder when 1 is divided by f.
0
Let k(z) = 0*z - 3*z**2 + 2 + 2*z**2 + 8*z + 5. Suppose -3*v + 34 + 23 = 0. Calculate the remainder when v is divided by k(8).
5
Suppose 242 - 44 = 3*i. Calculate the remainder when i is divided by 23.
20
Suppose -31 = 4*a - 63. Calculate the remainder when 13 is divided by a.
5
Let m(f) = f**2 - 3*f - 7. Let r = -8 + 20. What is the remainder when m(-6) is divided by r?
11
Suppose -5*l - 498 = a, 3*l + 3*a + 158 = -136. Let u = 10 + 1