. What is the remainder when (2/3)/(o/102) is divided by 12?
10
Suppose 0*u + 4*u = -2*p + 532, -u + 523 = 2*p. Suppose -3*a + a = -5*v + p, 0 = v + a - 45. Calculate the remainder when v is divided by 13.
11
Let i = 24 - 13. Calculate the remainder when 40 is divided by i.
7
Let w = -82 - -178. Calculate the remainder when w is divided by 25.
21
Suppose -n + 19 + 30 = 0. Calculate the remainder when n is divided by 3 - 2 - (-25 + 0).
23
Let j = -36 - -50. What is the remainder when 69 is divided by j?
13
Let w = 36 + -22. Calculate the remainder when 26 is divided by w.
12
Let g(y) = -4*y**2 - 5*y + 4. Let r be g(-4). Let t = r - -88. Calculate the remainder when t is divided by 17.
14
Let p be (-2 - -1 - 1) + 10. Suppose 0 = 3*y - 4 - p. Suppose v - 4*w = w + 24, -w = -y*v + 77. Calculate the remainder when 56 is divided by v.
18
Let c = 5 + -6. Let i(p) = -4*p - 1. Let u be i(c). Suppose -2 = 2*h - u*h - 5*w, -5*h = -4*w - 68. Calculate the remainder when 46 is divided by h.
10
Let g(z) = 3*z + 3. Suppose 0*k + 14 = 2*k. Let b be g(k). Calculate the remainder when (-2 - 7)*b/(-9) is divided by 13.
11
Suppose 3*f + 9 = -3*b, 5*f + 17 = 3*b + 66. Let j = -2 - b. Calculate the remainder when 29/2 + (-9)/(-6) is divided by j.
4
Let c(h) = -h**3 - h + 4. Let z be c(0). Suppose -z*k - 56 = -396. What is the remainder when k is divided by 22?
19
Suppose 0 = -2*i + 6*i - 8. Suppose 52 = i*z - 26. Let t = z - 26. Calculate the remainder when 24 is divided by t.
11
Suppose 3*n + 3 = 6*n. Let g = -2 - 0. Let i = g - -3. What is the remainder when i is divided by n?
0
Calculate the remainder when 44 is divided by (-11)/(-99) + 142/18.
4
Suppose -6*d = -2*d + 20. Let n be (d + 1)/((-6)/(-9)). What is the remainder when 47 is divided by n/(-15) + (-118)/(-5)?
23
Suppose 0 = -3*b - 2*x + 67, 5*x - x = 20. What is the remainder when b is divided by 11?
8
Let f be (-8)/3*(-9)/6. Suppose 20 = f*k - 0*k. Let d = 6 + k. What is the remainder when 20 is divided by d?
9
Let x(p) = p**2 - 31*p + 169. Let s(m) = 8*m**3 - 2*m**2 - m. Calculate the remainder when s(2) is divided by x(25).
16
Suppose -3*w - 6 = 0, n + w + 8 = -w. Let g = n - -7. Let p = g + -2. Calculate the remainder when 1 is divided by p.
0
Suppose 3*o = -2*y + 3*y - 93, -3*o = 2*y - 195. Let g = -29 + y. Calculate the remainder when g is divided by 23.
21
Suppose 60 - 15 = 3*a. Let k(r) = r**3 - r**2 - r + 43. Calculate the remainder when k(0) is divided by a.
13
Suppose 17 = 3*f - 2*f. Calculate the remainder when 98 is divided by f.
13
Let l(a) = 3*a**3 - 6*a**2 + 6*a + 3. Let v(s) = s**3 + s**2. Let n(m) = -l(m) + 2*v(m). What is the remainder when (-30)/(-4) + 1/(-2) is divided by n(7)?
3
Let i = 2 + -2. Let p = i - -3. What is the remainder when 1 - (-33 + 3)/6 is divided by p?
0
Suppose 0 = -2*q + 3*q + 4*m - 288, q - m = 308. Calculate the remainder when q is divided by 34.
32
Suppose -3*a + 19 = -17. What is the remainder when (17/2)/(52/208) is divided by a?
10
Let a be (-10)/25 - (-164)/10. Let u = -11 + a. What is the remainder when u is divided by 0/(-4) - (-3)/1?
2
Let b be (-6)/(-15) - 3/(-5). What is the remainder when 0 + b + -2 + 26 is divided by 7?
4
Suppose 0 = -0*p - 2*p + 6. Suppose 0 = p*m - m - 8. What is the remainder when 6 is divided by m?
2
Let b be (0/(4 + -2))/(-1). What is the remainder when 85 is divided by (-2)/(-4)*(44 + b)?
19
Let p be 4*(1 + -9)/(-4). Suppose -p*z + 255 = -3*z. What is the remainder when z is divided by 18?
15
Suppose 2*c = 2*n + 34, 0 = 3*c - 2*c + 4*n - 22. Let d be (c/15)/((-4)/(-10)). Suppose -1 = k - d. Calculate the remainder when 4 is divided by k.
0
Let b = 14 - -4. Calculate the remainder when b is divided by 2/4 - (-38)/4.
8
Let c = -14 + 25. Calculate the remainder when 20 is divided by c.
9
Let i = 27 - 15. Calculate the remainder when i is divided by 7.
5
Let f be 1/1*(1 + 0). Suppose -v + 29 = f. What is the remainder when v is divided by 15?
13
Let z(g) = 13*g - 2. Let o be z(5). What is the remainder when 9 is divided by o/12 - 3/12?
4
Let t(i) = -16*i + 1. Let w be t(-5). Let x = w - -2. What is the remainder when x is divided by 21?
20
Suppose 0 = 11*v - 9*v - 62. Calculate the remainder when 91 is divided by v.
29
Let h be 4/(-10)*35/(-7). Suppose 3*f + h*m = 25, 4*f + m - 4*m - 39 = 0. Calculate the remainder when (-64)/2*(-1)/2 is divided by f.
7
Let p(y) = y**2 - 1. Let a be p(-2). Suppose 0 = 4*w + 2*q - 76, 0 = -w - a*q - q + 26. Calculate the remainder when 71 is divided by w.
17
Let w(l) = -l**3 + 8*l**2 - 2*l - 9. Let g(k) = 13*k**2 + 2*k - 1. What is the remainder when w(7) is divided by g(1)?
12
Let u = -38 - -75. Calculate the remainder when u is divided by 10.
7
Suppose -4 = 2*s - 4*r - r, 8 = 4*r. Let k = 5 - s. Let w = 3 - 2. Calculate the remainder when k is divided by w.
0
Calculate the remainder when (-2 - 9/(-1 + -2))*25 is divided by 7.
4
Let s(p) = 5*p - 15. Calculate the remainder when s(8) is divided by (2/(-4))/((-4)/104).
12
Suppose 4*m - 300 = 24. Suppose 5*x + 21 - m = 0. Let o = 23 + 0. What is the remainder when o is divided by x?
11
Let s(q) = -q**2 - 8*q - 2. Suppose -6*i = -i - 20, -d - 19 = -3*i. Let l = 6 + -4. What is the remainder when s(d) is divided by l?
1
Suppose 5*j + 2*t - 146 = 0, 4*j - 4*t + 6*t = 118. What is the remainder when j is divided by 8?
4
Suppose 4*g = 31 + 17. What is the remainder when 35 is divided by g?
11
Calculate the remainder when 69 is divided by (-366)/(-21) - 4/(-7).
15
Let h(f) = 6*f**2 - 4*f - 18. Calculate the remainder when h(-6) is divided by 32.
30
Suppose h = 3*s - 321, 6*h = -3*s + 3*h + 321. Calculate the remainder when s is divided by 22.
19
Suppose -2*f + 18 = 2. Let v = 16 + -2. What is the remainder when v is divided by f?
6
Suppose j - 4*j = 5*g - 58, -2*g + j + 32 = 0. What is the remainder when g is divided by 9?
5
Suppose 4*m = m - b + 9, -15 = -5*m - b. What is the remainder when m is divided by 3?
0
Let i = 54 + -37. Suppose -v - m - m + 54 = 0, -5*v + m + 248 = 0. Calculate the remainder when v is divided by i.
16
Suppose 5*r = 2*c - 33 - 24, -3*c = 5*r + 52. Let v = 11 - r. Calculate the remainder when 65 is divided by v.
21
Let z(y) = -y - 6. Let u be z(-6). Suppose 5*p - 2*p - 132 = u. What is the remainder when 21 is divided by p/16*(3 - -1)?
10
Suppose 5*w = -3*k + 33, 0*k = 3*w + 2*k - 19. Suppose -16 = -3*x - 5*v, 0*x + x = 2*v + w. Let q = 0 + 3. What is the remainder when x is divided by q?
1
Let d = -231 - -238. Suppose 29 = 5*j - 56. Calculate the remainder when j is divided by d.
3
Suppose 0 = 2*m - 5*z - 248, z + 216 - 605 = -3*m. What is the remainder when m is divided by 33?
30
Let o be (-200)/(-52) + (-2)/(-13). Let t = -3 + o. Suppose -1 = s - 2. What is the remainder when s is divided by t?
0
Suppose 0 = 2*g - 7 - 15. Calculate the remainder when g is divided by 4.
3
Suppose 5*s = 2*g - 37, 5*g - 2 = 3*g - 2*s. What is the remainder when 11 is divided by g?
5
Let d(i) = 44*i**2 - 2*i + 1. What is the remainder when d(1) is divided by 11?
10
Let z be 0 + -3 - -6 - -30. Suppose -q + z = 5*m, m + 1 = 5. Calculate the remainder when 24 is divided by q.
11
Suppose s + 43 = y, 3*y + 43 = -3*s + 160. Let r = y + -25. What is the remainder when (-46)/(0 + -1) - -1 is divided by r?
15
Suppose b = 11 - 4. Calculate the remainder when 11 is divided by b.
4
Let c = -45 + 160. Calculate the remainder when c is divided by 39.
37
Suppose j = m - 53, -5*j - 40 - 33 = -m. Calculate the remainder when m is divided by 17.
14
Calculate the remainder when (-1)/(1 + (-264)/260) is divided by 22.
21
Suppose -3*c + c + 480 = 0. Suppose 2*v = -v + c. Calculate the remainder when v is divided by 27.
26
Let b(n) = 2*n**2 + 14*n - 16. Calculate the remainder when 37 is divided by b(-9).
17
Let f = -115 - -144. What is the remainder when f is divided by 18?
11
Suppose 0 = b - 6 - 6. Let m = 31 - -12. Calculate the remainder when 3/6*(m - -3) is divided by b.
11
Suppose 30 = k - 52. Suppose 4*f = 6*f - k. What is the remainder when f is divided by 11?
8
Let j = 12 + -1. Calculate the remainder when j*6 - 12/3 is divided by 16.
14
Suppose -5*i + 30 = 2*o - 115, -3*i + 101 = 4*o. What is the remainder when 2 - 2/1 - (-71 + -9) is divided by i?
26
Suppo