e remainder when (18/(-45))/((-2)/60) is divided by 5?
2
Let d(g) = -g**2 - 4*g - 5. Let m be d(-5). Let s be (1 - 2) + 22 + -1. Let n = m + s. Calculate the remainder when 28 is divided by n.
8
Suppose 4*j = -2*o + 6*o + 16, 3*j = o + 6. Calculate the remainder when 4 + -4 + 10/j is divided by 6.
4
Let z = -18 + 63. What is the remainder when z is divided by 12?
9
Let t(b) = b**2 - 10*b + 30. What is the remainder when t(7) is divided by 2/7 - (-120)/21?
3
Let b = 12 - 3. What is the remainder when 76/3 + (-3)/b is divided by 14?
11
Suppose 2*k = -2*l + 24, -k - 12 = -l - 0. Suppose 6 = 2*r - l. Calculate the remainder when 16 is divided by r.
7
Let h(l) = -6*l. What is the remainder when h(-1) is divided by 3?
0
Suppose 0 = -4*n - 6*f + 2*f + 48, -3*n + 38 = f. Calculate the remainder when 63 is divided by n.
11
Suppose -2*b + 55 = 3*b. Let z = 50 - 19. What is the remainder when z is divided by b?
9
Suppose -3*y + 12 = y. Suppose a + y*n = 5, -6*a + 2*n + 4 = -3*a. What is the remainder when 23 is divided by (0/1 - a)*-4?
7
Suppose -5*i - p = -92, -3*p + 42 = 3*i + 2*p. What is the remainder when i is divided by 12?
7
Let q(x) = x + 41. What is the remainder when q(0) is divided by 14?
13
Let n(i) = i**2 + 7*i - 4. Suppose 3*s - 21 = 3*v, 4*v + 4 + 24 = -5*s. Let m be n(v). Calculate the remainder when m/(-14) - (-388)/14 is divided by 15.
13
Suppose -3*g + 4 + 28 = -4*u, g - u = 11. Calculate the remainder when 58 is divided by g.
10
Let m = 19 + 0. What is the remainder when m is divided by 12?
7
Let m = -14 - -63. Suppose -3*v - 3*k = -39, -1 = -v - 5*k + 12. Calculate the remainder when m is divided by v.
10
Let g(m) = -m + 11. Let h be g(8). Suppose 3*s - 4*t = 37, 4*s + h*t = s + 9. Suppose o - 6*o = -15. What is the remainder when s is divided by o?
1
Suppose -167 - 58 = -5*f. Suppose 0 = y - 4*y + f. What is the remainder when ((-54)/5)/(4/(-10)) is divided by y?
12
Suppose -174 = -4*c + 106. Suppose -2*r - 2*r + 5*d = -73, 5*r - 2*d = c. Let k(a) = -a**2 + 14*a + 22. What is the remainder when r is divided by k(15)?
5
Suppose 16 + 4 = -5*w. Let r(p) = -2*p. Calculate the remainder when 29 is divided by r(w).
5
Let b = 10 - -22. Suppose 2*w = 20 + 24. Suppose -w = -2*q - 0*q. What is the remainder when b is divided by q?
10
Let f(w) = -7 + 2*w - 5*w**2 + 6*w**3 + 2*w - 7*w**3. Let v be -1 + 1 - (-1 - -7). Calculate the remainder when f(v) is divided by 2.
1
Let y be (36/10)/3*-5. Calculate the remainder when 5 is divided by (-3)/2*8/y.
1
Let v be (-465)/(-10)*16/6. Suppose -2*q - 2*q + v = -3*g, 2*q = -4*g + 84. What is the remainder when q is divided by 9?
7
Let o be 1 + -1 + -3 - 4. Let u be 2/(3 + o/3). Let f(h) = h. Calculate the remainder when 9 is divided by f(u).
0
Suppose 6 = 2*s - 44. Let j = -11 + s. What is the remainder when 40 is divided by j?
12
Calculate the remainder when 19 is divided by 0 - (-7 - (0 - 3)).
3
Let s(w) = -w**2 - 6*w + 5. Let z be s(-6). Suppose -6*i - 4 = -2*k - i, -z*i = 3*k - 56. What is the remainder when 22 is divided by k?
10
Suppose 0 = -8*h + 5*h. Suppose h = 2*j - 36 + 6. Calculate the remainder when 44 is divided by j.
14
Suppose 4*s - 6 - 6 = 0. Let x(v) = v**3. Let y be x(-2). Let j = y + 11. Calculate the remainder when s is divided by j.
0
Suppose 0 = 4*s - 0*s - 16. Suppose -7*r + 33 = -s*r. What is the remainder when r is divided by 6?
5
Calculate the remainder when 23 is divided by (-1)/(7/(-35) - (-8)/90).
5
Suppose -2*d + 0*u + 12 = -u, -d + 5*u = 3. Calculate the remainder when 19 is divided by d.
5
Suppose 0 = 5*m - 14 - 6. Suppose -4*i + 894 = 4*k - k, m*k = 3*i - 658. Calculate the remainder when 21 is divided by i/18 + 1/(-3).
9
Suppose 3*t = 0, 6*n - 8*n + 44 = 3*t. What is the remainder when 85 is divided by n?
19
Let o = 31 + 30. Calculate the remainder when o is divided by 7.
5
Let o(p) = -9*p + 4. Let t(c) = -14*c + 6. Let n(w) = 8*o(w) - 5*t(w). What is the remainder when 29 is divided by n(-4)?
9
Let a(o) = -4*o + 2. Let h be a(-1). Calculate the remainder when 33 is divided by 6 + h*(-3)/(-6).
6
Let j be 2/(-9) + (-705)/(-135). Suppose -3*d = 9, j*m - 2*d - 80 - 16 = 0. Let s = 14 + -4. Calculate the remainder when m is divided by s.
8
Let t = 4 - 2. Suppose -t*v - 2 - 4 = -2*o, 2*o + 5*v - 13 = 0. Suppose -o*q = q - 170. What is the remainder when q is divided by 12?
10
Suppose 5*z + 4*j - 25 = j, 0 = 3*z - j - 29. Suppose -z*u + 5*u + 27 = 0. Calculate the remainder when 24 is divided by u.
6
Let j(o) = -o**2. Suppose 0 = b - 6*b - 10. Let s be j(b). What is the remainder when 3 is divided by 1 + -1 + (-8)/s?
1
Suppose -5*g = -2 - 3. Let z be (1 - 1) + (4 - g). Let k = z + 3. What is the remainder when 16 is divided by k?
4
Suppose -3*i = -0 - 9, -47 = -q - 5*i. Calculate the remainder when q is divided by 6.
2
Suppose -q - 3*l + 27 = 0, 2*l = -4*q + 6*l + 44. What is the remainder when q is divided by 9?
6
Let t = -161 - -166. What is the remainder when 7 is divided by t?
2
Suppose 2*z - 5 = 3*z. Let y(u) = -u**2 - 5*u + 1. Let v be y(z). Let s = v - -3. Calculate the remainder when s is divided by 3.
1
Suppose 4*f - 2*k = 74, 4*f + f - 73 = -4*k. Calculate the remainder when 32 is divided by f.
15
Let n = -18 - -92. Let j(g) = g + 35. Calculate the remainder when n is divided by j(-10).
24
Suppose -78 = -3*g - h - 26, 5*g - 4*h = 64. Calculate the remainder when g is divided by (3 + -5 + 1)/((-1)/9).
7
Let d(f) be the third derivative of f**4/2 - 7*f**3/6 + 6*f**2. Calculate the remainder when d(5) is divided by 14.
11
Suppose -52 = 50*m - 54*m. What is the remainder when 113 is divided by m?
9
Let j(s) = s**3 - 11*s**2 - 15*s + 6. What is the remainder when j(13) is divided by 25?
24
Let o(l) = -l**3 + 6*l**2 - 4. What is the remainder when o(3) is divided by 9?
5
Let i = -94 - -106. What is the remainder when 19 is divided by i?
7
Let w(y) be the first derivative of y**4/2 + y**3/3 - y**2/2 - y - 3. What is the remainder when 67 is divided by w(2)?
16
Let m(z) = z**3 + 6*z**2 + 2*z - 2. Let d be m(-4). Suppose -2*i + d = -12. What is the remainder when 10/2*(0 + -5 + 18) is divided by i?
14
Let i be (-18)/(-4)*(-6)/(-9). Suppose -i*a = -12, 2*a + 3*a = -2*p + 56. What is the remainder when 53 is divided by p?
17
Let y = 125 + -110. What is the remainder when 89 is divided by y?
14
Calculate the remainder when 64 is divided by (0 + (-6)/4)/(2/(-24)).
10
Suppose 0 = 3*s - t - 18, -5*t + 7*t = 0. What is the remainder when s is divided by 6?
0
Calculate the remainder when 39 is divided by 0 - 0 - 100/(-5).
19
Let r = 41 - 16. Suppose f - 1 = r. Calculate the remainder when f is divided by 14.
12
Suppose -4*c - 4*l = 14 - 258, 5*c = 2*l + 326. Calculate the remainder when c is divided by 13.
12
Let j be (3 + -2 - 3) + 5. Suppose -2*q + k + 74 = 0, -4*q + 12 = -j*k - 134. What is the remainder when q is divided by 13?
12
Let d(o) = 5*o**2. Let s(z) = -30*z**3 + 1. Let n be s(1). Let y = -16 - n. Calculate the remainder when y is divided by d(-1).
3
Suppose 0*h + h - 58 = 0. Let q = -228 - -104. Calculate the remainder when h is divided by 8/(-12) + q/(-6).
18
Let j(k) = k**2 - 5*k + 40. Calculate the remainder when 189 is divided by j(8).
61
Let h = 21 - 13. Suppose 3*b - 5*b - 2*c + 8 = 0, -4*b - 3*c + 17 = 0. What is the remainder when h is divided by b?
3
Suppose -r = 2*r - 60. Let i be (10 + -8)/((-2)/13). Let n = -2 - i. What is the remainder when r is divided by n?
9
Let x = -20 - -25. Suppose 2*g = 25 + x. What is the remainder when 172/6 - (-2)/(-3) is divided by g?
13
Suppose -2*s + 7 = 5*a - 2, 3*s = a - 12. Let p = a - -8. Calculate the remainder when p is divided by 4.
3
Let o(i) be the third derivative of i**6/120 - 11*i**5/60 + i**4/24 - 5*i**2. What is the remainder when o(11) is divided by 6?
5
Let g(o) = -5*o + 2. Calculate the remainder when 29 is divided by g(-3).
12
Let r = -65 + 107. Suppose 4*y - 18 - r = 0. What is the remainder when 43 is divided by y?
13
Let k(q) = -q**2 + 9*q - 6. Suppose -n + 39 = 4*r, r = 5*n + 6*r - 180. Calculate the remainder when n is divided by k(6).
11
Suppose 5*m + 6 = -2*a, 2*m = -2*a - 1 + 7. What is the remainder when 12 is divided by a?
5
Suppose -341 - 119 = 5*o. Let u = o + 133. Suppose -3*x + 30 = c, 7 = -