e remainder when 28 is divided by x.
8
Suppose -a + 37 = 5*v, -3*v = a - 5*v - 2. Calculate the remainder when a is divided by 5.
2
Let x(z) = -z. Let q be x(-4). Let r(a) = 19*a + 4 - q. Calculate the remainder when r(1) is divided by 7.
5
Let u be 2/(-2 + 0 + 0). Let j = u - -36. Let m(i) = -i**3 + 5*i**2 + 7*i + 6. What is the remainder when j is divided by m(6)?
11
Let y(m) = 3*m + 4 + m - 3. What is the remainder when 61 is divided by y(5)?
19
Suppose -2*h + 2 = 2*d, 3*d - h = -5*h. Let q(k) = k**3 - k**2 - 3*k - 2. Suppose -i - 4 + 7 = 0. What is the remainder when q(i) is divided by d?
3
Let l be (-7)/(21/(-6)) - 5. What is the remainder when 13 is divided by (4/8)/(l/(-42))?
6
Suppose -3*g + 125 + 60 = 2*z, -3*g + 3*z = -165. What is the remainder when g is divided by 20?
19
Let t(o) be the second derivative of -3*o**3 - o**2 - o. Let b(f) = -3*f**3 + 2*f - 1. Let u be b(1). Calculate the remainder when t(u) is divided by 12.
10
Let u(b) = b**3 - 9*b**2 - b + 13. Let n be u(9). Suppose 0 = -i - n*i + 190. What is the remainder when i is divided by 13?
12
Let z(o) = -o**3 - 2*o + 1. Suppose -2*k + 5*k + 6 = 0. What is the remainder when z(k) is divided by 5?
3
Suppose -j = 4*f - 622, 4*f - 213 - 397 = 5*j. Suppose 0*p = p - f. Suppose 0*l - p = -5*l. What is the remainder when l is divided by 11?
9
Suppose -33 = -x + 2*m, -104 = 2*x - 5*x + m. Suppose -6*d = -70 - 2. What is the remainder when x is divided by d?
11
Let g be (8 + 0)/(1/10). Suppose 3 + 33 = 4*h. Suppose -h*n = -4*n - g. Calculate the remainder when 30 is divided by n.
14
Suppose 2*y - 72 = -2*y. Let x(n) = -14*n - 6. Let m be x(-4). Suppose 3*k - 55 = m. What is the remainder when k is divided by y?
17
Let p(a) = -a**3 + a + 6. Let j be p(0). Let t(g) = g**2 - 4*g - 3. Let d be t(j). What is the remainder when 4 is divided by (4/6)/(2/d)?
1
Suppose -2*s = -6*s + 44. Let x(o) = o**2 - 15*o + 15. What is the remainder when x(16) is divided by s?
9
Let j = -46 - -89. What is the remainder when j is divided by 23?
20
Suppose 0 = -4*n - 12, 4*b + 3*n + 9 - 44 = 0. Suppose 6*j = b*j - 85. Calculate the remainder when j is divided by 5.
2
Suppose 5*d - y = 23, -2*d + 17 = 3*d + y. What is the remainder when 6 is divided by d?
2
Suppose 141 = 5*l + 41. Calculate the remainder when 24 is divided by (-3)/((l/12)/(-5)).
6
Suppose 35 = 8*d - 3*d. Calculate the remainder when d is divided by 1/(-3) + (-156)/(-36).
3
Suppose 0 = -c + 2*c - 9. What is the remainder when 44 is divided by c?
8
Let b(t) = t**2 + 6*t - 8. Let q be b(-8). Let h be (-76)/18 - q/(-36). Calculate the remainder when 20/(3 - h/(-2)) is divided by 7.
6
Suppose 5*j - 105 = -5*t, 2*j + 36 = 4*j - 4*t. Let y = 115 + -37. Calculate the remainder when y is divided by j.
18
Let d(r) = 15*r + 1. Let j be d(-1). Let v = 2 - j. Suppose -184 = h - 5*h. What is the remainder when h is divided by v?
14
Suppose -3*i - 4 = 2*q, -5*q - 5*i + i + 4 = 0. Suppose 3*r + q*g = 31, -5*r - 4*g + 0*g + 49 = 0. What is the remainder when r is divided by 5?
4
Suppose -51 = -3*p + 36. Suppose -5*q + p = -11. Suppose 2*f = q + 2. Calculate the remainder when f is divided by 3.
2
Let p = 0 - -8. Let u(d) be the first derivative of -d**3/3 + 4*d**2 - 7*d + 5. What is the remainder when p is divided by u(6)?
3
Let z = 114 - 79. Let h = -23 - -41. Calculate the remainder when z is divided by h.
17
Suppose -255 = -5*c - 0*c. Suppose -k + 14 = -0*k. What is the remainder when c is divided by k?
9
Suppose -5*b + 55 = -25. What is the remainder when 189 is divided by b?
13
Let v be (-2282)/(-18) + (-4)/(-18). Let j = v - 87. Let q = -10 - -24. What is the remainder when j is divided by q?
12
Suppose 11 = -2*n + 135. Calculate the remainder when n is divided by 21.
20
Let i be (-6)/21 + (-37)/(-7). Suppose -4*t - 4*r + 6 = 2, t - 25 = i*r. Suppose -2*v = -12 - 6. Calculate the remainder when v is divided by t.
4
Let g = 16 - 7. Calculate the remainder when g is divided by 3.
0
Suppose 3*y - 2*y + 3*u - 3 = 0, 5*y + 4 = 4*u. Let h(b) = b**3 + b + 17. What is the remainder when 31 is divided by h(y)?
14
Let r be 6/(-4)*2 - -8. Suppose -16 = -4*z - o - 3*o, 0 = -5*z - 2*o + r. Let q = 13 - z. Calculate the remainder when 27 is divided by q.
13
Let i = 72 + 7. Calculate the remainder when i is divided by 27.
25
Let j be -4*(0 + (-13)/4). Suppose 3*o = 23 + j. Calculate the remainder when 33 is divided by o.
9
Let k = -42 - -65. Let s = 9 - k. Let y = s + 26. Calculate the remainder when 46 is divided by y.
10
Suppose -3*v + 6 + 0 = 0. Let o = v + -21. Let r = o - -31. Calculate the remainder when r is divided by 7.
5
Let s(g) = -6*g**2 + 28*g**3 + 3*g**2 + g**2 - 7*g**3 + g. Suppose t - 2*z = 9, 0 = 4*t - 2*z - 6 - 6. Calculate the remainder when s(t) is divided by 7.
6
Let i = 6 - 4. Suppose i*m = 4*m - 40. Calculate the remainder when 37 is divided by m.
17
Suppose 5*w - 4*d = 252, 7*w + 4*d - 36 = 6*w. Suppose y - 10 = 7. Calculate the remainder when w is divided by y.
14
Suppose -6*k + 10 = -k, -k + 12 = 2*z. Suppose -z*u + 33 = -57. Let j = u + -7. What is the remainder when j is divided by 6?
5
Suppose 0 = 5*q - 9 - 66. Suppose -4*y + 216 = -0*y. What is the remainder when 10 is divided by y/q + 2/5?
2
Let j be (-2)/1 - 24/(-4). Suppose 0*r - j*r = -2*o + 34, 26 = o + r. What is the remainder when o is divided by 8?
7
What is the remainder when 34/(3 - 1) - 0 is divided by 9?
8
Let u = 240 + -138. Calculate the remainder when u is divided by 26.
24
Let m be 2*3/6 + 0. Suppose -5*r = -20 - 5. Let p = r - m. Calculate the remainder when p is divided by 2.
0
Let i(l) = l**3 - l**2 + 2*l + 2. Let b = 35 + -26. Calculate the remainder when i(3) is divided by b.
8
Let h = -15 - -55. What is the remainder when h is divided by 21?
19
Let z(w) = -7*w. What is the remainder when 19 is divided by z(-1)?
5
Let k(m) = m**2 - 5. Calculate the remainder when k(4) is divided by 4.
3
Let i(o) be the third derivative of o**5/60 - 5*o**4/24 - o**3 - o**2. Let f be i(-6). Suppose f = 3*w + w. Calculate the remainder when 43 is divided by w.
13
Suppose -492 = 5*g - 9*g. What is the remainder when g is divided by 31?
30
Let s = 1 - -2. Suppose -g = 3*w + s*g + 60, 4*w + 67 = -g. What is the remainder when 7 is divided by w/(-6) + 2/6?
1
Let h(l) = l + l - 1 - l + 6. Let u be h(0). Suppose u*m + 4 - 114 = 0. Calculate the remainder when 42 is divided by m.
20
Let t(f) be the second derivative of -f**5/20 + f**4/12 + f**3/6 - f**2/2 + f. Let q be t(-2). Let n = 21 - q. What is the remainder when 35 is divided by n?
11
Suppose z - 11 = 6. Suppose 4*f - 376 = -3*q + 7*q, -385 = -4*f - 5*q. Let p = f + -46. What is the remainder when p is divided by z?
15
Suppose -o + 6*o - 155 = 0. What is the remainder when o is divided by 8?
7
Suppose -8 = 3*c + 1. Suppose -v = -4*v + 27. Calculate the remainder when c - -1 - 36/(-1) is divided by v.
7
Suppose 4*l = -2*y + 16, -5*y + 1 + 9 = 4*l. Let t = -18 - -9. Let h = -6 - t. What is the remainder when l is divided by h?
2
Suppose -240 = 27*p - 75*p. Let l(i) = -2 - 2 - 3 - i**3 - 4*i**2. What is the remainder when l(-5) is divided by p?
3
Suppose 0 = 2*n - 3*w - 69, -3*n = 2*n + 2*w - 182. Suppose -5*k = -74 - n. Suppose -k = -3*y + 14. What is the remainder when 34 is divided by y?
10
Suppose -4*o + 0*o = -72. Let u = o - 5. Calculate the remainder when u is divided by 8.
5
Let m = 9 - 6. Suppose -4 - 5 = -m*d. Suppose x + 43 = 4*v, -d*v + 4*x = -x - 11. Calculate the remainder when 22 is divided by v.
10
Suppose 5*b = g + 46, 0 = 2*b + g - 20 + 3. Let x = -4 + b. Calculate the remainder when 7 is divided by x.
2
Let l(v) = v**3 + 7*v**2 + 5*v + 5. Let o be l(-6). Suppose o - 1 = c. Let b(q) = -q**2 + 15*q - 9. Calculate the remainder when b(c) is divided by 14.
13
Suppose 4*a - l = 132, 0*l + 165 = 5*a - 3*l. What is the remainder when a is divided by 16 + 1 + (-5)/1?
9
Let v(n) = -n**2 + 12*n. What is the remainder when v(9) is divided by 15?
12
Suppose -66 = -4*i - c - 0*c, 2*c = -i + 13. Suppose -y + 4 = -2. Calculate the remainder when i is divided by y.
5
Let d(x) be the second derivative of -5*x**3/6 - x**2/2 + x. Let f be d(-1). Suppose f*b - 40 = -b. Calculate the remainder when 22 is divided by b.
6
Suppose 93 = 3*n