
Suppose -5*n + 6*n - 17 = 0. Calculate the remainder when (96/(-20))/((-3)/20) is divided by n.
15
Suppose -w - 64 = -5*w. Calculate the remainder when w is divided by 6.
4
Suppose -3*j = -r - 60, 5*j - r - 86 = -4*r. Let t = j + 0. What is the remainder when 54 is divided by t?
16
Let j(q) be the third derivative of q**6/120 + 2*q**5/15 + q**4/4 + q**3 + q**2. Calculate the remainder when 26 - (4/2 + -1) is divided by j(-7).
12
Let r(t) = 7*t - 1. Suppose -4*z = -5*d - 2, 0 = 3*z - d + 4. Let q be r(z). Calculate the remainder when 3*2*q/(-10) is divided by 4.
1
Suppose 2*f - 1 = -3, f = s - 2. What is the remainder when s/(-3)*18/(-3) is divided by 1?
0
Suppose 5*n - 5 = -0*n. Let t be (n*-5)/((-5)/15). Suppose -a - 4*g = -3*g + 1, -3*g = t. What is the remainder when a is divided by 3?
1
Let l(o) = -o**2 - 8*o + 3. Let n be l(-8). Suppose -n*x + 7 = -2*x. Calculate the remainder when 38/4*(0 + 2) is divided by x.
5
Let q(v) = 25*v - 1. Suppose 3*k + 2 = s, -k - 2*s + 6 = -s. What is the remainder when 70 is divided by q(k)?
22
Let a = 46 + -21. What is the remainder when a is divided by 26*3/6*1?
12
Suppose 4 = y - 0*y. Suppose 0 = y*n + 5*k - 12, -3*n + 8*n - 44 = k. Let z(l) = l**2 - l - 7. What is the remainder when z(6) is divided by n?
7
Calculate the remainder when (-2)/(-4) - 38/(-4) is divided by ((-2)/2)/(3/(-12)).
2
Let j(g) = 69*g**2 + 1. What is the remainder when j(-1) is divided by 19?
13
Let g(r) = -6*r + 1. What is the remainder when (-310)/(-8) + 36/(-48) is divided by g(-2)?
12
What is the remainder when -2 - (-37 - -3)/2 is divided by 4?
3
Suppose -2*q - 10 = 0, 5*c - 4*q = 3*c + 30. Calculate the remainder when c is divided by 4.
1
Suppose -5*o + 4*v + 60 = 3*v, 4*v = o - 31. Calculate the remainder when 190/6 - (-2)/6 is divided by o.
10
Let r = 14 - 6. What is the remainder when 1*(2 + 13 - 0) is divided by r?
7
Suppose 4*c - 246 = -4*w + 18, 3*w - 70 = -c. What is the remainder when c is divided by 23?
18
Let t(h) = -3*h - 25. Calculate the remainder when 19 is divided by t(-12).
8
Let h be (11 + (-3 - -1))*1. Let f = h - 6. What is the remainder when 3 is divided by f?
0
Suppose 225 = c + 8*c. Calculate the remainder when 148 is divided by c.
23
Calculate the remainder when 14 is divided by ((-8)/6)/(5/((-75)/10)).
0
Let y(b) = 4*b**2. Let x = 3 + -4. Calculate the remainder when 11 is divided by y(x).
3
Suppose 0 = -9*k + 7*k + 8. Suppose -r = -2*r + k. Let u = -2 + r. Calculate the remainder when 4 is divided by u.
0
Suppose -5*m - 5*i + 110 = 0, 7*m = 3*m - 2*i + 82. What is the remainder when (37/5)/(-1*(-6)/30) is divided by m?
18
Calculate the remainder when 37 is divided by -3*(-15)/9*2.
7
Let b(v) = -2*v**2 - 18*v - 17. Let m(f) = f**2 + 9*f + 9. Let p(i) = 4*b(i) + 9*m(i). Calculate the remainder when p(-9) is divided by 5.
3
Suppose 0 = 5*q - 33 - 47. Let r(c) = 14*c - 7. Calculate the remainder when r(5) is divided by q.
15
Let t = -33 + 36. What is the remainder when 5 is divided by t?
2
Suppose -24 = -o + 2*h, -6*o + o = h - 109. What is the remainder when ((-4)/(-3))/((-3)/(-144)) is divided by o?
20
Let t be ((-63)/12)/((-3)/(-12)). Let j = t - -45. What is the remainder when j is divided by 9?
6
Suppose -4*t + 22 = 66. Let d = t + 15. Calculate the remainder when 14 is divided by d.
2
Suppose 34 = 5*b - 11. Suppose 27 = -3*h + 102. Calculate the remainder when h is divided by b.
7
Suppose 20 + 6 = 2*w. Suppose -i - 5 = -4*c - 6*i, -3 = i. What is the remainder when w is divided by c?
3
What is the remainder when 22 is divided by ((-24)/14)/((-38)/133)?
4
Let h(l) = 3*l**2 + 3*l + 2. Let v be h(-3). Let g = v + -13. What is the remainder when 13 is divided by g?
6
Let x(r) = r**2 - 3*r + 6*r + 7*r - 2*r. Let c = 7 + -16. What is the remainder when x(c) is divided by 5?
4
Calculate the remainder when 3 - (1 - (-186)/(-2)) is divided by 16.
15
Suppose -2*a + 3 = -u, 0*a - 8 = -2*a - 4*u. Suppose 3*d + 11 = n, 15 = a*n + 2*d - d. What is the remainder when 31 is divided by n?
7
Suppose -4*f - 18 = -2*b - 0*f, 3*b + 3*f = -18. Calculate the remainder when 0 - (-32 + b/(-1)) is divided by 11.
9
Let g(y) = 2*y**2 - 5*y + 1. Let o be g(4). Let u(m) = -12*m + 2. Let s be u(-1). Suppose s = 3*b - o. Calculate the remainder when 17 is divided by b.
8
Let j(y) = -3*y. Let r(m) be the second derivative of m**3/6 - m**2/2 + 2*m. Let x(l) = -j(l) + 3*r(l). What is the remainder when 26 is divided by x(2)?
8
Let w(f) = f**2 - 2*f - 1. Let c be (-1 + -4)*(-1)/1. Let y(v) = -5*v + 5. Calculate the remainder when y(-7) is divided by w(c).
12
Let c = 4 - 2. Suppose -2*o = p - 10, -o = c*p - 0*p - 8. Suppose -p*j + 20 = 2*j. Calculate the remainder when 8 is divided by j.
3
Suppose 0 = -v - 0*v + 3. Suppose -v*g + 2*t = -46, -2*g - 4*t = g - 70. Suppose -3*z = -9 - g. Calculate the remainder when 16 is divided by z.
7
Let n(x) = 5*x**2 - 3*x - 20. What is the remainder when 101 is divided by n(-3)?
33
Let x = 25 + -10. What is the remainder when x is divided by 4?
3
Suppose -8*v + 12*v = 28. What is the remainder when 19 is divided by v?
5
Let k(a) = a**3 + 6*a**2 + 5*a + 1. Calculate the remainder when 51 is divided by k(-4).
12
Suppose -15*a + 745 - 115 = 0. What is the remainder when 209 is divided by a?
41
Suppose -6*k + 193 + 95 = 0. Calculate the remainder when k is divided by 10.
8
Suppose -5*c - 4 - 11 = 0, 0 = -5*q - 3*c + 41. Calculate the remainder when 36 is divided by q.
6
Let v(p) = p**2 - 2*p + 2. Calculate the remainder when (-7)/((-25)/5 - -4) is divided by v(3).
2
Suppose 0 = 3*t - 2 - 10. Suppose -t*v + 215 = v. Calculate the remainder when v is divided by 15.
13
Let a = -4 - -6. Suppose 3*f - 55 = 2*d, -3*d + 58 = 5*f - 2. Let g = f + -11. Calculate the remainder when g is divided by a.
0
Suppose -3*d - 2*s = -0*s - 21, 5*d = -3*s + 36. What is the remainder when 25 is divided by d?
7
Let i = -1 - -15. What is the remainder when 25 is divided by i?
11
Let s(o) = -o**2 - 7*o + 5. Let v be s(-5). Suppose 4*g = c + 26, -g - c - 3*c + v = 0. What is the remainder when g is divided by 5?
2
Let y be 50/12 - 2/12. Let a = 25 + 3. Calculate the remainder when a is divided by (6/y)/((-6)/(-40)).
8
What is the remainder when 3/((-9)/(-69)) - 1 is divided by 12?
10
Let k be (-2)/(-2) - (2 - -1). Let a(p) = p**3 + 5*p**2 + 2*p - 4. Let n be a(-3). What is the remainder when 7 is divided by n + k + 2/(-1)?
3
Suppose 8 = 2*u + 2*u. Suppose -4*t + u*y + 105 = -t, -4*y - 177 = -5*t. What is the remainder when t is divided by 17?
16
Let n(u) be the third derivative of u**5/60 + u**4/6 + 5*u**3/6 + u**2. Suppose -3*m = -22 + 34. What is the remainder when n(m) is divided by 2?
1
Let d(r) = 4*r + 2. Calculate the remainder when 55 is divided by d(3).
13
Suppose -10*g = -6*g - 160. Let s(y) = 2*y**2 - 4*y + 3. Let a be s(4). Suppose 0 = 5*t - a - 51. Calculate the remainder when g is divided by t.
12
Suppose 2*s = -2*h + 116, 4*s + h + 2*h - 235 = 0. Suppose -5*n + s = -84. Calculate the remainder when n is divided by 16.
13
Let r(d) = -d**3 + 7*d**2 - 2*d - 3. Let a(v) = v**2 + v + 1. Let g be a(-1). Let u = 4 + g. Calculate the remainder when r(u) is divided by 13.
11
Calculate the remainder when 14 is divided by (6 - 3)/(((-2)/4)/(-1)).
2
Suppose -3*i + 8 = -i, -2*x - 3*i + 122 = 0. Suppose x + 14 = 3*g. What is the remainder when g is divided by 12?
11
Suppose -p + 52 = 2*p + r, -28 = -3*p + 5*r. Let x(g) = 7*g**3 + g**2 + 3*g - 3. What is the remainder when x(2) is divided by p?
15
Let k(b) = -3*b - 6. Calculate the remainder when 57 is divided by k(-7).
12
Let f = -16 - -26. Calculate the remainder when 29*(-2 - -1*3) is divided by f.
9
Suppose a - 5*a = i - 19, 0 = 5*i + a - 19. Let h = i - 3. Suppose h = -5*j + 177 + 88. What is the remainder when j is divided by 18?
17
Let l be (-2)/7*(-11 - -4). Suppose -l*f + f + 16 = 0. What is the remainder when 47 is divided by f?
15
Suppose 6*p - 3*p = 0. Suppose -5*c + 8*c - 117 = p. What is the remainder when c is divided by 10?
9
Let k = -2 - -5. Suppose 0 = y - 10 - k. What is the remainder when 49 is divided by y?
10
Let h(s) = -s**3 - 8*s**2 - 8*s - 4. Let d be (-3 - 2/6)*3. Let p = d - -3. What is the remainder when 9 is divided by h(p)?
0
Let k = 41 - 13. Calc