-3*n = -0*n - 447. Suppose -4*m + s = 8 - n, -102 = -3*m - 3*s. What is the remainder when m is divided by 12?
11
Suppose 4*a + 35 = 79. Suppose -104 = -4*h + 4*j, 2*j = -4*h + 19 + 109. Calculate the remainder when h is divided by a.
8
Suppose -4*f + 6 = g, 2*f + 15 = -3*f. Calculate the remainder when 71 is divided by g.
17
Suppose -5*i - 2*y = -91, 5*y = 3*i - 6 - 30. Calculate the remainder when i is divided by 4.
1
Let t = -42 - -74. Let s = 61 - t. Suppose g = 9 + 1. Calculate the remainder when s is divided by g.
9
Suppose -15 = 3*d - 21. Let g = 24 + -17. Calculate the remainder when g is divided by d.
1
Suppose -y = -0*y + x - 8, 0 = -2*y + 5*x + 2. Let j = y - 3. What is the remainder when 7 is divided by j?
1
Let f be (6/(-1))/(6/(-8)). Let g(i) = 8*i**3 - 4*i**2 + i - f + 5*i**2 + 7. What is the remainder when 17 is divided by g(1)?
8
Suppose -3*h = 2*f - 117, 0 = -4*f + f + 2*h + 169. Calculate the remainder when f is divided by 15.
12
Suppose -2*y - x = -12, 6*x = 3*x. Suppose 3*o - y*o = -111. Calculate the remainder when o is divided by 13.
11
Let k(w) = 2*w**3 - 8*w**2 + 4*w - 1. What is the remainder when k(5) is divided by 18?
15
Suppose 3*v = 4*v - 243. Suppose -2*n - n = -v. What is the remainder when n is divided by 28?
25
Let w = -38 - -48. Calculate the remainder when 12 is divided by w.
2
Suppose 2*d + 3*d - 100 = 0. Let v = -1 + d. Suppose -2*n - 10 = -s, -4*s + 5*n + v = -21. What is the remainder when s is divided by 3?
1
Let l(i) = -i**2 - i + 61. Calculate the remainder when l(0) is divided by 16.
13
Suppose 0*t - 8 = -t. Calculate the remainder when 100 is divided by t.
4
Suppose 0 = -4*m - 8 + 40. Calculate the remainder when 37 is divided by m.
5
Suppose -o = 2*i + 10 - 27, 0 = 3*i - 4*o + 2. Let r = i - -14. What is the remainder when -2 + 0 - (-120)/2 is divided by r?
18
Let j be 12/(-16)*(6 + -2). What is the remainder when 2/(256/84 + j) is divided by 22?
20
Suppose 18 = -0*z + 4*z - c, -c - 2 = 0. Suppose -3*d = h - 6, z*h = -9 - 3. Calculate the remainder when 11 is divided by d.
2
What is the remainder when (8/(-5))/(2/(-40*2)) is divided by 17?
13
Calculate the remainder when 233/4 + 2/(-8) is divided by 20.
18
Suppose u = 3*r - 3, 6 = u - r + 3. Calculate the remainder when 48 is divided by (-2)/u - 104/(-6).
14
Let o = 143 - 102. Calculate the remainder when o is divided by 14.
13
Let p be (-4)/((-2)/4*-2). Let h = p + -2. What is the remainder when 29 is divided by ((-10)/3)/(h/27)?
14
Let y = 133 - 70. Suppose -10*b = -9*b - 13. Calculate the remainder when y is divided by b.
11
Let c(t) = 3*t**2 - t + 0*t + 6 - 5. Suppose -3*g = -1 - 14. Calculate the remainder when g is divided by c(1).
2
Suppose -6*h + 68 + 22 = 0. What is the remainder when 56 is divided by h?
11
Suppose 3*i = -4*t + 59 - 19, 2*t + 2 = 4*i. What is the remainder when 13 is divided by t?
6
Let x = 0 + 9. What is the remainder when x is divided by 3?
0
Suppose -4*k - 38 = -3*n, 5*n - 20 = 2*k - 4*k. Let s(d) be the second derivative of d**4/6 - d**3/3 - 2*d. What is the remainder when n is divided by s(2)?
2
Suppose 8 = -2*b + 14. Let i(h) = 9*h - 4. Let l be i(4). Suppose l = 4*j - 12. What is the remainder when j is divided by b?
2
Let u = 6 + -2. What is the remainder when 9 is divided by u?
1
Let m(y) = -y**3 + 10*y**2 - 7*y - 12. Calculate the remainder when 17 is divided by m(9).
5
What is the remainder when 84 is divided by ((-62)/6 + 3)*-3?
18
Suppose 90 = 3*m + 2*m - l, 2*m - 5*l = 13. Calculate the remainder when 37 is divided by m.
18
Let r(m) = -m**3 + 5*m**2 + 5*m - 7. What is the remainder when r(5) is divided by 7?
4
Let s(h) = -h**3 + 10*h**2 - 4*h - 7. Suppose i - 19 + 10 = 0. Let p = 12 - 2. What is the remainder when s(i) is divided by p?
8
Let f(v) be the second derivative of v**4/6 - v**3/3 + v. Let w be 1*6/(-9)*3. Calculate the remainder when 34 is divided by f(w).
10
Suppose 2*q = 3*u - 3*q - 1, 3 = 2*u - q. Suppose -d = -9 + u. Calculate the remainder when 19 is divided by d.
5
Calculate the remainder when (67 - (-1 - -3)) + 0 is divided by 17.
14
Let j(a) = -3*a**2 + 1 - a - 2 + 4*a**2 - 4*a**3. Let i be j(-1). What is the remainder when (7/i)/(1/5) is divided by 3?
1
Let v be (-4)/(2 - -2)*2. Let l(k) = 7*k**2 + 4*k + 2. What is the remainder when 65 is divided by l(v)?
21
Let b(d) = d**2 + 3*d + 7. What is the remainder when b(0) is divided by 2/(-2 + (-24)/(-9))?
1
Let k(t) = -t**2 + 6*t + 2. Let w be k(6). Let h = 3 + w. Suppose -h*b + 9 = -3*i, 7 = -4*b + 19. What is the remainder when 5 is divided by i?
1
Suppose 0 = -3*x - 3*b + 39, -x + 2*b + b = -5. What is the remainder when (-4)/(-10) + (-416)/(-10) is divided by x?
9
Suppose 3*w + 3*y = 2*y + 50, 4*w - 4*y = 56. What is the remainder when ((-2)/4)/(2/(-184)) is divided by w?
14
Suppose -3*j - 20 = -8*j. Suppose -j*t - 136 = -8*t. Calculate the remainder when t is divided by 18.
16
Suppose 19 = m + 11. Calculate the remainder when m is divided by 2.
0
Suppose 4*o = 2*p, -2*p - 6 = 5*o - 6*p. Let n(f) = f**3 + 18*f**2 + 18*f + 19. Calculate the remainder when o is divided by n(-17).
0
Suppose 0 = 3*u + 4*y - y - 108, 0 = 5*u - 3*y - 212. What is the remainder when u is divided by (546/312)/((-17)/(-8) + -2)?
12
Suppose -5*l = 35 - 430. What is the remainder when l is divided by 20?
19
Suppose -j = 2 - 6. What is the remainder when 7 is divided by j?
3
Let s = 16 + 5. Suppose 4*t - 3*x - 160 = 0, -2*t + 3*x = -3*t + 40. Calculate the remainder when t is divided by s.
19
Suppose -3*j = -m - 2*m + 6, -3*j = -3. Calculate the remainder when 13 is divided by m.
1
Let q = -120 - -180. What is the remainder when q is divided by 27?
6
Let w = 8 - 6. Suppose 2 = w*g - 8. Suppose -4*a - 3*k + 9 = -1, 26 = g*a - 3*k. What is the remainder when 6 is divided by a?
2
Let p be -38 + (1 - 0)*1. Let w = 62 + p. Suppose -4*x - 4*o - w = -145, x = o + 26. Calculate the remainder when x is divided by 10.
8
Let j(u) = 9*u + 14. Suppose 0 = -0*o - 4*o - 16. What is the remainder when j(1) is divided by -2*(o - 2/1)?
11
Suppose 29*z = 22*z + 490. What is the remainder when z is divided by 15?
10
Suppose 4*f = -2*j + 4*j - 20, -115 = -5*j - 3*f. Suppose 210 = 5*n + 5*d, 0 = -3*n + d + d + 111. Calculate the remainder when n is divided by j.
19
Suppose 0 = -5*k - p + 417, k = 6*p - 4*p + 79. Let l = k - 27. Calculate the remainder when l is divided by 15.
11
Suppose -h + 15 = 2*h. Suppose -4*j = -h*s + 28 - 2, 0 = -4*s + 4*j + 20. What is the remainder when 29 is divided by (-2)/6 + 62/s?
9
Let v(r) = 2*r**2 + r + 1. Let f be v(-1). Let i(t) = 7*t - 2. Let b be i(5). Suppose b = f*o + 1. Calculate the remainder when 31 is divided by o.
15
Suppose -5*f - h = -35, 0*h - 3*h = -3*f + 3. Suppose -15 = -b - 4*b. Suppose b*p - 6*p = -33. What is the remainder when p is divided by f?
5
Let r(b) = 8*b + 1. Let t(q) = q**2 - 1. Let y be t(-2). Let c be (2/(-2))/(y/(-3)). What is the remainder when 25 is divided by r(c)?
7
Let r be 5*((-8)/5)/(-4). Suppose 2*y + u - 26 = -u, -r*y = -3*u - 31. Calculate the remainder when y is divided by 4.
2
Let p = 7 + -3. Suppose 5*y = -5 - 10. Let f = y + p. What is the remainder when f is divided by 1?
0
Let r(z) = -z**3 - 1. Suppose 2*q = -2*q + 8. Suppose -1 = q*v - 7. What is the remainder when r(-2) is divided by v?
1
Let r(m) = -m - 6. Let z be r(0). Calculate the remainder when (-330)/(-8) - 2/8 is divided by (42/(-9))/(2/z).
13
Let b be (-796)/(-18) - (-2)/(-9). Let h = -31 + b. Calculate the remainder when 25 is divided by h.
12
Suppose 0 = -2*k - 3*h + 3 + 3, -4*k = -h - 26. Suppose w - k*w = -75. What is the remainder when w is divided by 9?
6
Let l(k) = k - 1. Let u be l(1). Let h(a) = -a**3 + a**2 + a + 2. What is the remainder when 5 + (-2)/1 + u is divided by h(0)?
1
Suppose 5*u = 60 - 20. What is the remainder when 37 is divided by u?
5
Let h(x) = -3*x + 55. What is the remainder when 77 is divided by h(14)?
12
Suppose 9*p + 5 = 8*p. Calculate the remainder when 8 + p + 144/2 is divided by 26.
23
Suppose 0*o + 32 = 2*o. Let x = -35 + 37. Suppose -12 = -4*d - 2*t + 20, -x*d + 3*t = -24. Calculate the remainder when o is divided by d.
7
Suppose 5*r + 8 = 3*k - 37, -9 = r + 5*k. Let s = 14 + r. Calculate the remainder when 13