 remainder when k(1) is divided by 34.
31
What is the remainder when 531/21 + 6/(-21) is divided by 9?
7
Let z be (18/4)/(3/(-68)). Let n be (z/(-2))/((-3)/(-14)). What is the remainder when n/6 + 8/(-12) is divided by 10?
9
Let w be 25/1 - (1 - 0). Let x = w - 6. Let b = -19 - -71. What is the remainder when b is divided by x?
16
Calculate the remainder when 18 is divided by (-1 + 0)/((-4)/20).
3
Suppose 0 = -n + 4*n - 159. Suppose 3 = -2*w + n. What is the remainder when w is divided by 13?
12
Suppose -5*f + 11 + 74 = 0. Let v = f - 49. Let o = 47 + v. What is the remainder when 28 is divided by o?
13
Let g(p) = p**3 - 14*p**2 + 15*p - 18. Let v be g(13). Suppose 4 = 4*m - v. What is the remainder when 11 is divided by m?
2
Suppose 4*n = 2*n - t + 73, -n = -t - 32. Calculate the remainder when n is divided by 12.
11
What is the remainder when 16 - (2/1 + -3) is divided by 9?
8
Suppose 2*i + 5*w - 50 = -i, 4 = 2*i - 4*w. Suppose 0 = -2*o - 3*o + i. Suppose 200 = 7*d - o*d. Calculate the remainder when d is divided by 14.
12
Let c = 168 + -97. What is the remainder when c is divided by 18?
17
Let m(i) = -2*i**2 + 16*i - 1. Calculate the remainder when 113 is divided by m(5).
26
Let j(a) = a**3 - 2*a**2 - a + 2. Let r(o) = -o**3 - o**2 + 5*o + 117. What is the remainder when r(0) is divided by j(4)?
27
Suppose -5*n - 2*m = -211, -5*m + 4*m - 161 = -4*n. Let k(l) = -l**2 - 7*l + 5. Calculate the remainder when n is divided by k(-6).
8
What is the remainder when ((-14)/4)/(1/(-6)) is divided by 6?
3
Suppose 4*s - 5*c = 37, 0*c + 3*c = 5*s - 56. What is the remainder when 49 is divided by s?
10
Let i(h) = -h**3 + 8*h**2 + 11*h + 8. Let w = 21 - 14. What is the remainder when i(9) is divided by w?
5
Suppose -j = 8*r - 3*r - 38, 0 = -5*r - 5*j + 30. Let x(d) = -3*d + d + d - 2. Calculate the remainder when r is divided by x(-7).
3
Let z be -3 - (-15 + -1 + -2). Suppose 5*d - z = 140. Suppose -4*h = -29 - 15. What is the remainder when d is divided by h?
9
Suppose -2*u - 17 = -4*w + 9, 4*w = u + 21. Suppose -w*v = 5*r - 11, -3*v - 3 = -0*v. Let n = 9 + r. Calculate the remainder when 22 is divided by n.
10
Let a(t) = -t**2 + 12*t + 29. Calculate the remainder when a(12) is divided by 15.
14
Suppose -g + 7*i - 4*i = 0, -15 = -2*g + i. Let o = -39 - -65. What is the remainder when o is divided by g?
8
Let c be (-10)/(-15) + (-574)/6. Calculate the remainder when c*(14/(-10) + 1) is divided by 13.
12
Let w be (-60)/(-16) - (-2)/8. Let k = 3 + w. Suppose -3*v + 50 = 5*m - 3, m + v = 9. Calculate the remainder when m is divided by k.
6
Let m = -54 - -80. What is the remainder when m is divided by 14?
12
Suppose -1 = -2*k + 5*n - 3, k + 4*n - 25 = 0. Suppose -j + 24 = -k. What is the remainder when j is divided by 9?
6
Suppose -33 = -5*q + 22. Calculate the remainder when q is divided by 6.
5
Let g = -9 - -50. What is the remainder when 122 is divided by g?
40
Let p = 1 - 0. Let x(g) = -g**2 - 38*g - 335. Calculate the remainder when x(-15) is divided by (3 - p)/((-1)/(-3)).
4
Suppose 11 = 2*h - 5*y + 2, -5*h + 5*y + 15 = 0. What is the remainder when (76/(-12))/(1/(-3)) is divided by (0 - 15/(-6))*h?
4
Let z(w) = w**3 - 7*w**2 - w + 8. Let h be z(7). Let t = h + 0. What is the remainder when 1 is divided by t?
0
Let u = -19 - -48. Calculate the remainder when u is divided by 8.
5
Suppose 24 = s + 4*v, -2*s - 2*v + 27 - 9 = 0. Calculate the remainder when (-1)/(-4) - (-15)/s is divided by 2.
0
Suppose 5*l - 3*l - 102 = 0. What is the remainder when l is divided by 18?
15
Let u = 27 + -27. Let d(h) = h + 2. Let p be d(0). Suppose 2*k + p*k - 64 = u. What is the remainder when 47 is divided by k?
15
Suppose -4 = -b, -5*g - b + 96 = -73. Suppose 0 = 4*r - 7*r + g. Suppose 0 = 5*a + 5 - 0, -3*a - r = -f. What is the remainder when 15 is divided by f?
7
Let b(i) = i**2 - 5*i + 2. Let g be b(5). Let a(x) = -x**3 - x**2 + 3*x + 2*x**3 - g*x**2 + 2. What is the remainder when a(5) is divided by 23?
21
Suppose 119 = 5*x + 14. Calculate the remainder when x is divided by 4.
1
Let a = 13 - 3. Calculate the remainder when 39 is divided by a.
9
Suppose 136 = 5*d - m, 0*m = -4*d - m + 116. Suppose -2*p + 148 = -d. Suppose 4*j = -0*j + p. Calculate the remainder when j is divided by 8.
6
Let r = 12 + -7. Suppose -n + 36 = 4*a, -4*a + n = -5*a + 9. What is the remainder when a is divided by r?
4
Suppose -2*w - 3*q + 34 = 0, -4*w + 2*q + 25 = -w. What is the remainder when w is divided by 6?
5
Calculate the remainder when (-3)/(((-60)/(-148))/(-5)) is divided by 20.
17
Let n(r) = r**3 + 8*r**2 - 8*r + 13. What is the remainder when n(-8) is divided by 20?
17
Let t(i) = 2*i - 7. Let h be t(6). Suppose -h*p + 5*v = -30, 10 = p - 2*v + 3*v. What is the remainder when 21 is divided by p?
5
Let p(u) = -u**2 + 7*u - 2. Let d be p(6). Suppose 0*x + d = x. What is the remainder when 15 is divided by x?
3
Let y be (-234)/(-12) + 6/(-4). Let g be (-15)/(-2)*y/(-27). Let w(p) = p**3 + 5*p**2 - 4*p + 7. What is the remainder when w(g) is divided by 7?
6
Suppose -4*y + 46 + 30 = 0. What is the remainder when (-3)/((-3)/20)*121/44 is divided by y?
17
Let f = -40 - -23. Let b = f - -39. Let c = 12 + 0. Calculate the remainder when b is divided by c.
10
Let d(x) = x**2 - 13*x + 22. What is the remainder when 30 is divided by d(12)?
0
Suppose -4*t = 5*r - 13, 8 = 5*t - 2*r - 0. Suppose 0 = -t*l - 2*w + 71 - 21, -107 = -5*l + 4*w. Let i = -9 + l. What is the remainder when 26 is divided by i?
12
Let o = -8 + 7. What is the remainder when 19 is divided by (1 - 0)/(o/(-7))?
5
Let c(i) = 2*i**2 + 4*i + 4. Let a(g) = 4*g. Let n be a(-1). Calculate the remainder when c(n) is divided by 11.
9
Let k(d) = -60*d**3 + 3*d + 2. What is the remainder when k(-1) is divided by 15?
14
Let f = -38 + 27. Let j(x) = x**3 + 12*x**2 + 8*x - 12. What is the remainder when j(f) is divided by (-53)/(-5) + 2/5?
10
Calculate the remainder when 17 is divided by 2 + 0 - 18/(-6).
2
Let x = 16 - 7. Calculate the remainder when 52 is divided by 112/6 + (-6)/x.
16
Suppose 0*f + 20 = -4*f, b + 5*f + 19 = 0. Calculate the remainder when b is divided by 6.
0
Let h = -213 - -126. Let g = -48 - h. What is the remainder when g is divided by 8?
7
Let h(t) = 26*t + 2. What is the remainder when h(1) is divided by 15?
13
Let v = 89 - 14. What is the remainder when v is divided by (-104)/(-6)*42/28?
23
What is the remainder when 2 + 1 - (-30 - -8) is divided by 13?
12
Suppose -u - a = -2, -a + 11 = 3*u + u. Suppose -u*p - 2*p = -200. Calculate the remainder when p is divided by 14.
12
Suppose -5*a + 10 = -25. Let z(y) = y**2 - 3*y + 3. What is the remainder when z(a) is divided by 1 + -1 + (-22)/(-2)?
9
Suppose -9*h + 13*h = 20. Suppose 7*g - 570 = 2*g. Suppose -3*c = -h*f - g, -6*c = -c + f - 190. Calculate the remainder when c is divided by 20.
18
Suppose 3*l + 2*l = -2*m + 26, -5*l = 0. What is the remainder when 49 is divided by m?
10
Let h(d) = d**2 - d - 7. What is the remainder when 66 is divided by h(6)?
20
Suppose -126 = -8*j + 2*j. Calculate the remainder when 83 is divided by j.
20
Let o(n) be the third derivative of n**6/120 - n**5/5 + n**4/2 + 13*n**3/6 + 5*n**2. Calculate the remainder when o(11) is divided by 14.
10
Let z be 126/(-12)*(-12)/7. Let u = 44 - z. Suppose -3*q = -q - 2*x - 32, -3*q - 3*x = -36. Calculate the remainder when u is divided by q.
12
Let a = 3 + 1. Suppose -a*u - 8 = 72. Let b = -12 - u. Calculate the remainder when 15 is divided by b.
7
Let t = -2 - -4. Suppose -d + 2*y = t, 4*d - 3*y = 4 + 8. Let l(q) = q**3 - 5*q**2 - 5*q + 1. What is the remainder when l(d) is divided by 4?
3
Let x = -30 - -45. What is the remainder when 23 is divided by x?
8
Let a(h) = 3*h**3 + h**2 - h - 1. Let i be a(-1). Let v = -107 + 113. Calculate the remainder when i/v - 120/(-9) is divided by 5.
3
What is the remainder when 3/5 - 201/(-15) is divided by 5?
4
Let m be (20/(-4))/(1 - 2). Let j(z) = z + 2. Calculate the remainder when 20 is divided by j(m).
6
Suppose -104 = -5*s - 44. What is the remainder when (1/2)/(3/204) is divided by s?
10
Let f = 20 + 14. What is the remainder when 135 is divided by f?
33
Suppose -2 + 5 = p. Calculate the remainder when 10 is divided by p.
1
Suppose 0 = g - 5, 6*w - 2*w - 