 is the remainder when 16 is divided by f?
6
Let g(v) = -v**3 - 6*v**2 + 5*v - 7. Let m be (-29)/4 + 2/8. What is the remainder when g(m) is divided by 4?
3
Suppose -4*s - 104 + 304 = 0. Suppose 6 = -3*r - 0, 4*c = r + s. Calculate the remainder when 23 is divided by c.
11
Let h(i) = -27*i**2 - i. Let q be h(1). Calculate the remainder when 25 is divided by 2*1*q/(-8).
4
Suppose a = 4*a - 39. Let q = -9 + a. Suppose 5 = m - p, -3*m + 5*p + 23 = m. What is the remainder when q is divided by m?
0
Suppose -2*i = -2*h + 72, 0 = -6*i + i + h - 160. Calculate the remainder when 23 is divided by (-10)/(-40) + i/(-4).
7
Let f(r) = 25*r**3 + r - 1. Let a be f(1). Suppose 4*z = a - 9. What is the remainder when 14 is divided by z?
2
Let h = -12 - -7. Let l = h + 7. Suppose 4*p = l*p + 32. What is the remainder when 47 is divided by p?
15
Let x = 2 + 0. Suppose -11 = 5*f - 4*a - 46, a + 2 = -f. What is the remainder when f is divided by x?
1
Suppose v = 2*h - 219, -2*h - 2*h + 448 = -4*v. What is the remainder when h is divided by 27?
26
Suppose 3*p + 4*q = 3, p = 5*p + 2*q - 14. Calculate the remainder when 116/8 - 2/4 is divided by p.
4
Suppose 0*b - 3*m + 69 = b, -4*b + 5*m + 225 = 0. Suppose 4*d - 32 = b. Calculate the remainder when 68 is divided by d.
22
Let y = -10 - -15. Suppose 0 = 2*l + 5*i - 49, -33 - 79 = -y*l - 2*i. What is the remainder when 65 is divided by l?
21
Let m(c) = 4*c**3 + c**2. Let z = 24 + -23. Suppose 2*o - 7 = -1. What is the remainder when m(z) is divided by o?
2
What is the remainder when 5 is divided by 2*(3 - 4) - (-9 - -3)?
1
Suppose -16 = -z - 11, 80 = 5*c + 3*z. Calculate the remainder when c is divided by 5.
3
Let a(x) = x**2 - 4*x + 8. What is the remainder when 78 is divided by a(6)?
18
Let x(q) = -3*q - 4. Let r(d) = -2*d - 5. Let m(i) = -5*r(i) + 6*x(i). Calculate the remainder when 50 is divided by m(-2).
16
Let q(n) = n + 10. Suppose -3*w + 3*j + 1 = -14, 5*w - 2*j - 16 = 0. Calculate the remainder when w is divided by q(-8).
0
Suppose 2*v + 2 - 8 = 0, 2*z - 2*v = 52. Calculate the remainder when z is divided by 16.
13
Suppose 0 = -4*v - 2*a + 12, -2*v - 4*a + 6 = a. Suppose 2*z = -v*r + 10, r + 29 = 3*z + 2*r. What is the remainder when 32 is divided by z?
10
Let i(z) = -2*z - 13. Let n = 21 + 12. What is the remainder when n is divided by i(-11)?
6
Suppose -o - s = o - 11, 5*o - 10 = s. Suppose -5*a = -k - o*k + 81, -5*a + 111 = 4*k. What is the remainder when k is divided by 13?
11
Let v = 16 - 10. Calculate the remainder when v/10 + (-1210)/(-25) is divided by 13.
10
Suppose -4*r = r - 45. What is the remainder when (-2 - -32)*(-9)/(-18) is divided by r?
6
Suppose -j + 6*j = -5*m + 60, -5*m - 4*j + 61 = 0. Calculate the remainder when m is divided by 7.
6
Let j(f) = 5*f**3 - 1. Let p be ((-3)/(-9) + 0)*6. Suppose -p*x - 6 = -3*w, -5*w = 5*x - 4 - 6. What is the remainder when j(1) is divided by w?
0
Let q(f) = -f**2 - 5*f + 6. Let g be q(-5). Let n(y) = 4*y - 7. Calculate the remainder when 2/7 + 687/21 is divided by n(g).
16
Let h(i) = -i**2 - 13*i - 9. Calculate the remainder when h(-9) is divided by 15.
12
Suppose 2*y + 8 = 4*l, -5*y = -l - 2*l - 1. What is the remainder when 39 + (-8)/y + 2 is divided by (-20)/50 - 67/(-5)?
11
Let q(r) = r**3 + 4*r**2 - 2*r + 1. What is the remainder when q(-4) is divided by 5?
4
Suppose 0 = 3*b - 6 - 3, 2*l - 4 = -4*b. Let h = -6 - l. Let x = h + 7. Calculate the remainder when 9 is divided by x.
4
Let p(i) = -i**3 - 3*i**2 + 3*i + 5. Suppose -3*u + 4*a + 115 = 0, -42 - 8 = -2*u - 4*a. What is the remainder when u is divided by p(-4)?
6
Let y(m) = -9*m + 4. Calculate the remainder when y(-1) is divided by 11.
2
Suppose -7*a + 120 + 76 = 0. Calculate the remainder when a is divided by 12.
4
Suppose -3*d - 38 = -5*d. What is the remainder when d is divided by 7?
5
Let p be (-1)/(((-16)/4)/12). Suppose p*h - 4*h + 6 = 0. What is the remainder when 9 is divided by h?
3
Suppose 5*x + 28 - 178 = 3*t, -155 = -5*x + 2*t. What is the remainder when x is divided by (1/2)/(1/24)?
9
Let r(c) = -c + 5. Let o be r(6). Calculate the remainder when 1*3 + (-39)/o is divided by 11.
9
Let q = 32 + 1. Calculate the remainder when q is divided by 9.
6
Let s(v) = 5*v - 6 - 2*v - v. Let l be ((-8)/(-14))/((-2)/(-14)). Calculate the remainder when s(l) is divided by 1.
0
Suppose -10*n + 64 = -6*n. Suppose -g + 29 = -0. Calculate the remainder when g is divided by n.
13
Let i be ((-1)/(-2))/(4/8). Suppose i - 21 = -2*m. What is the remainder when 47 is divided by m?
7
Let a = 5 - 2. Suppose 0*w = a*w - 6. Suppose -3*r - w + 17 = 0. Calculate the remainder when r is divided by 2.
1
Let w(g) = g**3 + 5*g**2 - 2*g - 2. Calculate the remainder when 31 is divided by w(-5).
7
Let c = -105 - -156. Calculate the remainder when c is divided by 18.
15
Suppose 0 = 4*n - 253 + 25. Calculate the remainder when 1/(1*3/n) is divided by 5.
4
Let h be (-5)/4 + 5/20. Let c = h - -23. Calculate the remainder when 64 is divided by c.
20
Let m = 53 - 20. What is the remainder when 129 is divided by m?
30
Let q = 131 + -92. Let z = -14 + 14. Calculate the remainder when 27 is divided by q/3 - (z - 1).
13
Let c(b) = b**2 + 12*b + 10. Let a be c(-15). Suppose 4*t = a - 3. What is the remainder when t is divided by ((-2)/(-3))/((-2)/(-12))?
1
Let r(s) = -s**3 - 3*s**2 + 5*s + 4. Let w be r(-4). Suppose -4*j + w*j = -92. Calculate the remainder when j is divided by 8.
7
Let a(q) = q - 2. Let f be a(2). Suppose 2*c - 18 + 4 = f. What is the remainder when 19 is divided by c?
5
Let j be 4/(-14) + 4/14. Suppose j = -q + 14. What is the remainder when (4/6)/(8/324) is divided by q?
13
What is the remainder when 29 is divided by 4/(2*3/15)?
9
Let s = 1 + 1. Let w(g) = -g - 3. Calculate the remainder when w(-7) is divided by s.
0
Let q be 4/6 + (-50)/(-6). Calculate the remainder when 2 + 3/(q/6) is divided by 3.
1
Suppose 6*r + 6 = -3*q + r, -3 = r. Suppose q*v + 5 = 4*v. What is the remainder when 12 is divided by v?
2
What is the remainder when (2*18)/1 - -1 - 2 is divided by 19?
16
Suppose 5*y + 5*g - 30 = 0, y + 3 = -2*g + 11. Let t = 35 - 15. Let b = t + y. What is the remainder when b is divided by 13?
11
Let p(l) = -4 + 1 + 5 - 3 - 22*l. Suppose -2*g = 3*g - 75. Calculate the remainder when p(-2) is divided by g.
13
Let v be (-158)/10 + (-3)/15. Let p be (v/(-6))/((-2)/(-3)). Suppose -p*n + 34 - 14 = 0. What is the remainder when 12 is divided by n?
2
Suppose 4*p + i = 367, -2*p + 5*i + 120 = -47. Suppose 3*q = -10 + p. Calculate the remainder when q is divided by 13 + -1*(1 + -2).
13
What is the remainder when 35 is divided by 4*2/4 + 10?
11
Suppose -2*m - 5*h + 177 = 0, 0 = 3*m - 0*m - 5*h - 303. Let d = m + -63. What is the remainder when d is divided by 18?
15
Let g be (7 - 10)/(1/6). Let n = 47 - 22. Calculate the remainder when n is divided by 8 - -1 - g/(-9).
4
Suppose 515 = 8*v + 115. What is the remainder when 349 is divided by v?
49
Let a(u) = 11*u + 5. Let i(n) = 23*n + 11. Let q(x) = -13*a(x) + 6*i(x). Let v = 11 + -7. What is the remainder when q(-2) is divided by v?
3
Suppose 3 = 2*o - o. Suppose -o*h + 10 = -h. Calculate the remainder when 13 is divided by h.
3
Suppose 4*h - 74 = 3*w, -80 = -5*h + 4*w + 12. What is the remainder when 77 is divided by h?
17
Let a(f) = -f + 10. Let t be a(7). Let q be (-17)/t + 2/3. Let h = q + 10. What is the remainder when 13 is divided by h?
3
Let w(r) = -6*r - 3. Suppose 5*c = 4*l - 3*l + 2, 5*l - 4*c + 10 = 0. Let u be (-1)/(l/(-7 - 1)). What is the remainder when w(u) is divided by 11?
10
Suppose -2*l = l - 105. Suppose 8*b = 13*b - l. Calculate the remainder when 20 is divided by b.
6
Let n = -18 - -4. Calculate the remainder when (1 + 6)*(-96)/n is divided by 25.
23
Suppose 36*x = 25*x + 627. What is the remainder when x is divided by 30?
27
Suppose 3*y + 81 = 4*q, -4*q - 8*y = -6*y - 66. What is the remainder when 141 is divided by q?
15
Suppose 77 = 3*g - 7. Let c = -10 + g. Calculate the remainder when 53 is divided by c.
17
Suppose -2*j + 20 = -4*l, j + 0*l + 4*l = 16. Suppose -2*o = 10, -4*x + 2*o + 108 = -2*o. What is the remainder when x is divided by j?
10
Let k = 46 + 9. Calculate the remainder when k is divided by (-5 + 7)*19/2.
17
Suppose -9*h = -5