e remainder when v is divided by 8.
6
Suppose -2*x = -3*y + 3 - 2, -6 = -5*x - y. Let p(v) = 2*v**2 - 2*v + 1. Calculate the remainder when p(2) is divided by 0/x + (-10 - -13).
2
Suppose 8*z - 18 + 2 = 0. Calculate the remainder when 15 is divided by z.
1
Let c(o) be the second derivative of o**4/4 - o**3/3 + o**2/2 + o. What is the remainder when 15 is divided by c(2)?
6
Let g(j) = 7*j - 4. What is the remainder when 28 is divided by g(2)?
8
Suppose -n = 3*n + 4*y - 76, -2*n + 20 = -4*y. Calculate the remainder when n is divided by 10.
6
Let g = 125 + -95. What is the remainder when 178 is divided by g?
28
Let p = 26 + -5. Let s(l) = l**3 + 6*l**2 - 5. Let n be s(-6). Let x = 11 + n. Calculate the remainder when p is divided by x.
3
Suppose 0 = -4*q + 4*r + 8, 15 = -2*q + 6*q + 3*r. Suppose 6 = -5*k + 3*k - 4*y, -2*k = y - 9. Let b = 0 + k. What is the remainder when b is divided by q?
1
Suppose 3*v + 44 = y - 31, 2*y + 136 = -5*v. Let q = 20 + -36. Let d = q - v. Calculate the remainder when 29 is divided by d.
9
Let o = -184 - -343. Calculate the remainder when o is divided by 23.
21
Let h(f) = 45 - 4*f**2 - 2*f**3 - 48 - f + 3*f**3. What is the remainder when h(5) is divided by 10?
7
Let f be (6/8)/(3/12). Suppose -12 = -j - f. What is the remainder when 26 is divided by j?
8
Suppose v + 6 = -v, 0 = 2*q - 4*v - 46. Let l be (4/(-10))/(5/100). Let t = l - -17. What is the remainder when q is divided by t?
8
Let x(r) = -r**2 - 6*r - 1. Let w(j) = -5*j - 1. Let a(c) = 7*w(c) - 6*x(c). Let f = 11 + 6. Calculate the remainder when a(-3) is divided by f.
16
Suppose 0*h + h - 9 = 0. Calculate the remainder when 35 is divided by h.
8
Let b = 28 + -17. What is the remainder when b is divided by 6?
5
Suppose 0 = 6*w + 2*w - 184. Calculate the remainder when 1*34*(-2 + 4) is divided by w.
22
Let q = 200 - 150. Calculate the remainder when 249 is divided by q.
49
Let c(o) = -o - 1. Let p be c(1). Let y(d) = 2*d**3 + 3*d**2 - 2. Let i be y(p). Calculate the remainder when 23 is divided by ((-90)/(-35))/(i/(-28)).
11
Suppose 2*i + 2*i = -5*c - 375, 5*i + 2*c + 456 = 0. Let z be (236/6)/((-8)/12). Let r = z - i. What is the remainder when r is divided by 11?
9
Suppose -2*y = 6, 4*z - 5*y - 11 - 8 = 0. Suppose -17 = -s + z. Suppose -4*d + 25 = -111. What is the remainder when d is divided by s?
16
Let y(i) = -i**2 - i + 17. Suppose 4*r + 0*r - 20 = 5*j, 2*j = 4*r - 20. What is the remainder when (-3)/(-3) - (1 + -32) is divided by y(j)?
15
Let z = 1 + 13. Suppose -2*y + 722 = 3*j, 2*y - 829 = -5*j + 377. What is the remainder when j/6 + 4/6 is divided by z?
13
Suppose 6*m = 48 + 42. What is the remainder when (12/(-10) - -2)*55 is divided by m?
14
Suppose -2*u + 62 = 3*j - 3*u, 5*j - 5*u - 110 = 0. Let f be (-6)/(-10) + (-932)/j. What is the remainder when (f/3)/((-4)/6) is divided by 12?
11
Let i be (-16)/(-5)*10/4. Calculate the remainder when 17 is divided by -2 - 2*i/(-2).
5
Let c = 12 + 0. What is the remainder when 34 is divided by c?
10
Let w = -7 + 12. Suppose -62 = -2*u - 3*r, -w*u = 3*r - 222 + 76. What is the remainder when 83 is divided by u?
27
Suppose y - 48 = -29. Calculate the remainder when 70 is divided by y.
13
Suppose 0 = 2*o + 30 - 310. Suppose 0 = -2*q + 7*q - o. Calculate the remainder when 109 is divided by q.
25
Let t = -5 + 5. Suppose h + 5*m - 18 = t, 4*m = 4*h - 0*m. Suppose -2*b + h*q - q + 16 = 0, 4*q = -4*b + 8. Calculate the remainder when b is divided by 2.
1
Suppose 0 = -6*k + 2 + 70. Calculate the remainder when 32 is divided by k.
8
What is the remainder when 52 - 6/9*-2*3 is divided by 22?
12
Suppose 0*c + 4*c - 28 = 0. Let a = -4 + -2. Let d(i) = -4*i - 5. Calculate the remainder when d(a) is divided by c.
5
Suppose -2*q + 0*q + 16 = 0. Calculate the remainder when q is divided by (-26)/(-10) - 6/(-15).
2
Suppose n + 4*q = -0*q + 18, -5*n + 65 = -5*q. What is the remainder when 55 is divided by n?
13
Suppose -157 = -4*w + 5*y, 0 = 3*w - 0*y - 4*y - 119. Calculate the remainder when w is divided by 7.
5
Suppose -1 = 2*z - 3. Let x = 1 + -1. Let g = 2 - x. What is the remainder when g is divided by z?
0
Let w(s) = -s**3 - 14*s**2 - 17*s - 17. Calculate the remainder when w(-13) is divided by 12.
11
Let f(p) = -p**3 + 4*p**2 + 7*p - 13. Calculate the remainder when 17 is divided by f(2).
8
Let k(j) = -j**2 - 6*j - 5. Let a be k(-4). Suppose 2*w - 188 = -4*y - 3*w, a*w = 3*y - 141. What is the remainder when y is divided by 24?
23
Let v be -2 - (-6*1 + 1). Let a(s) = -9 + 9 + 7*s. What is the remainder when a(v) is divided by 8?
5
Let x(n) = 3*n - 13. Let h be ((-13)/5 + -1)*-5. Let k = h - 13. Calculate the remainder when x(7) is divided by k.
3
Suppose 12 = 79*j - 77*j. What is the remainder when 17 is divided by j?
5
Suppose -3*i + 0*i = 348. Let w = -76 - i. Suppose 3*v = 45 - 3. What is the remainder when w is divided by v?
12
Suppose 6 = -3*t + 33. What is the remainder when 177/12 + 3/12 is divided by t?
6
Suppose -r = 4*l - 44 + 7, 3*r - 59 = l. Calculate the remainder when r is divided by 0 + 7 + (3 - 4).
3
Calculate the remainder when 15 is divided by 4/10 - (-43)/5.
6
Let x be 0/((-1 - 1)/1). Suppose a - 25 = -3*d - d, x = 2*d - 10. What is the remainder when 9 is divided by a?
4
Let o(r) = -6*r**2 - r**3 + 2*r**3 - 3 + 3*r + 6*r. Let p be o(6). Let t = p + -29. What is the remainder when t is divided by 8?
6
Suppose 2*p - q - 43 = 0, -6*p = -2*p + 2*q - 106. What is the remainder when 119 is divided by p?
23
Let x(o) = o**2 - 8*o - 16. Let p be x(12). Suppose 4*z - 6*z - 10 = -4*f, 5*f = -4*z + p. What is the remainder when 8 is divided by z?
2
Suppose 9 = 2*n + n, 37 = h - 5*n. Calculate the remainder when h is divided by 14.
10
Suppose -h + y = -23, -5*h + y = 17 - 136. Suppose 0 = -0*g + 4*g - h. What is the remainder when 11 is divided by g?
5
Suppose -5*o + 108 = -32. Calculate the remainder when 82 is divided by o.
26
Let d(u) = -u**2 + 6*u + 2. Suppose 3*b - 24 = -b. Let g(k) = -k**3 + 20*k**2 + 2*k - 36. Calculate the remainder when g(20) is divided by d(b).
0
Let t(o) = o + 6. Calculate the remainder when 53 is divided by t(8).
11
Suppose -3*t + 10 + 22 = q, 2*q - 4 = -t. Let r = -6 - -11. Calculate the remainder when t is divided by r.
2
Let i be (-2 + 0)/(6 - 7). Suppose 19 = -i*q + 67. Calculate the remainder when 47 is divided by q.
23
Let z(t) be the third derivative of t**6/120 - t**5/60 - 5*t**4/24 + 2*t**3/3 - 3*t**2. What is the remainder when (2 - 1)/(2/26) is divided by z(3)?
6
Let z = -27 - -52. Let k(i) = -5*i. Let y be k(-1). Suppose y*t = 2*o - 4*o + 8, -4*t + 37 = 5*o. What is the remainder when z is divided by o?
7
Let g(m) = m**3 + 8*m**2 + 5*m + 5. What is the remainder when 6/(-9)*(-222)/4 is divided by g(-7)?
18
Let j = 4 - 6. What is the remainder when 20 is divided by (j - 20)*(-2)/4?
9
Suppose c = -2*c + 3. Let s(n) = 12*n - 3. Let g(x) = -x**2 - x + 1. Let q(d) = c*s(d) + g(d). Calculate the remainder when q(10) is divided by 3.
2
Let z be -4*(2 + (-27)/12). Let x(g) = 6*g + 1. Suppose 23 = -2*c + 75. Calculate the remainder when c is divided by x(z).
5
Let x(m) = m**2 + m - 4. Suppose -1 = -2*h + h. Calculate the remainder when x(-3) is divided by h.
0
Let p be (-2)/(-6) + (-4)/(-6). Calculate the remainder when ((-3)/(9/(-93)))/p is divided by 11.
9
Let g(q) = -4*q + 1. What is the remainder when g(-9) is divided by 20?
17
Let g = -3 - -6. Suppose g*z - 66 = -3*u, -3*z + u = 6*u - 66. Suppose 0 = 8*i - 14 - 50. Calculate the remainder when z is divided by i.
6
Let z(g) = -g**3 + g**2 - g + 3. Let h be z(0). Suppose 0 = 4*c - 0*c. Let q = h - c. What is the remainder when 6 is divided by q?
0
Let n(h) = 7*h + 7. Let v be n(-5). Let d = v - -53. What is the remainder when d is divided by 13?
12
Let p(q) = -q**2 + 5*q - 3. Let s be p(3). Suppose 0 = 3*d + s, j + 3*d = -j + 29. Calculate the remainder when j is divided by 6.
4
Let r be (102/9)/((-2)/(-21)). Suppose 0 = -3*t - 17 + r. What is the remainder when t is divided by 18?
16
Let w = 5 - -3. Calculate the remainder when (-6)/(-14) - 1872/(-91) is divided by w.
5
Let y = -6 - -6. Suppose 5*p + 2*n - 4*n = 74, 3*p + 4*n - 34 = y. Let s = p - 2. What is the remainder when 34 is divided by s?
10
Suppose -9*y + 14*y - 85