 remainder when n is divided by k?
2
Suppose o - 24 = 4*v - 2*o, 24 = -4*v + o. Let y(a) = -2*a + 5. Let s = 4 - -2. Calculate the remainder when y(v) is divided by s.
5
Suppose -10 = -2*m - 4. Suppose -m*h - 31 = -136. Calculate the remainder when h is divided by 12.
11
Suppose 54 = 2*h - 26. Let l = h - 17. Calculate the remainder when l is divided by 8.
7
Let p be 21/6 - (-1)/2. Suppose 2*w + 42 = p*u, 3*u - u - 3*w - 27 = 0. What is the remainder when 17 is divided by u?
8
Let d = -19 - -11. Let j be (21/(-28))/(1/d). Suppose u - 11 = -2*i + j*u, 4 = 4*u. What is the remainder when 13 is divided by i?
5
Let h(r) = -3*r. Calculate the remainder when 11 is divided by h(-1).
2
Let z(q) be the first derivative of 3*q**2 - 1/4*q**4 - q + 1 + 4/3*q**3. Calculate the remainder when z(5) is divided by 2.
0
Let m(k) = -k**2 - 7*k + 4. Let u(z) = z**3 + 7*z**2 + 7*z - 1. Let f be u(-6). Calculate the remainder when 11 is divided by m(f).
3
Let t(p) = p**2 + 17*p - 21. Calculate the remainder when t(-20) is divided by 21.
18
Let m(j) = -j + 2. Let u be m(10). Calculate the remainder when 0/2 - -24 - -1 is divided by u/20 + 94/10.
7
Suppose 4*o + 5*l - 72 = l, -3*o = -5*l - 94. Calculate the remainder when 81 is divided by o.
12
Suppose 122 = m + 29. What is the remainder when m is divided by 47?
46
Let l = 1 - -1. Let u be ((-4 + 4)/2)/2. Let y = l + u. Calculate the remainder when 5 is divided by y.
1
Let h(b) = -6*b + 6. Let g(k) = 7*k - 7. Let w(j) = 4*g(j) + 5*h(j). Calculate the remainder when w(-7) is divided by ((-2)/4)/((-2)/24).
4
What is the remainder when 33 is divided by 10/(-15)*9*-1?
3
Suppose 0 = 3*m, -2*z + 3*z - 5*m - 3 = 0. Suppose 3 = 2*c - 5*v, -z*c + v + 7 = 35. Let f = 52 + c. Calculate the remainder when f is divided by 14.
13
Suppose -85 = -5*h - 2*k, 4*k = 3*h + 6 - 31. What is the remainder when 56 is divided by h?
11
Suppose -4*b + a - 14 + 5 = 0, 0 = -2*b - 4*a. Let k = 9 + b. Suppose -6*w + 20 = -5*w. What is the remainder when w is divided by k?
6
Calculate the remainder when 20 is divided by (1 + -3 - -4) + 5.
6
Suppose 0 = 5*x - 4 - 11. Suppose x*p = 5*u - 8, -4 = u + u. What is the remainder when (-244)/p + (-2)/3 is divided by 14?
12
Let r = -9 - -17. Calculate the remainder when r is divided by 2.
0
Suppose 2*p = -2*p + 3*a + 36, 4*p - 60 = -3*a. Let r = 75 - 40. What is the remainder when r is divided by p?
11
Suppose -c + 54 = 2*f + c, 0 = -3*f - 4*c + 77. Calculate the remainder when 88 is divided by f.
26
Suppose -4*w = 4*i - 72 - 68, 0 = -3*i. What is the remainder when w is divided by 21?
14
Let y(n) = n**3 + 6*n**2 - 8*n - 4. Let z = 10 + -17. What is the remainder when 7 is divided by y(z)?
1
Suppose -5*z + 20 = 0, -2*o - z - z = -16. Suppose 36 + 12 = o*l. Calculate the remainder when 22 is divided by l.
10
Suppose -22*n = -25*n + 30. Calculate the remainder when n is divided by 4.
2
Suppose 4 = 2*o - 6. Suppose -3*l = -13 - 2. Suppose -l*h = 1 - 11. Calculate the remainder when o is divided by h.
1
Let k(s) = 2*s + 2 - 4*s - s. Suppose 0 = 5*y + 25, 4*t = -3*y + 37 + 4. Calculate the remainder when k(-8) is divided by t.
12
Let i = -369 - -377. Let c(a) = -a**3 - 4*a**2 + 5*a + 3. Calculate the remainder when i is divided by c(-5).
2
Suppose 4*n = 8*n. Let i(q) = q + 4. Let h be i(n). Suppose 0 = 3*c - 2*c - h. What is the remainder when c is divided by 3?
1
Let m = 46 + -20. Suppose 2*j + m = 120. Calculate the remainder when j is divided by 16.
15
Suppose 5*c + 20 = 0, -3*c = -3*m - 6*c + 60. Calculate the remainder when 164 is divided by m.
20
Calculate the remainder when (1/(-3))/((-19)/2508) is divided by 9.
8
Let b = 22 - 5. Let u(s) = -3*s - 2. Calculate the remainder when u(-11) is divided by b.
14
Suppose -12 = -s - 4*x + 9, -3*x = -s. What is the remainder when 15 is divided by s?
6
What is the remainder when 61 is divided by (-14)/(-4 + 40/12)?
19
Let y(l) = -3*l**2 + 4*l. Let g be y(-4). Let f = g + 100. Calculate the remainder when f is divided by 19.
17
Suppose -248 = 4*j - 0*j - 3*s, 4*s = j + 49. Let f = 196 + j. Suppose -3*p = -f + 20. What is the remainder when p is divided by 13?
11
Let u(n) = n**3 - 3*n**2 + 5. Let l be u(4). Calculate the remainder when 55 is divided by l + 2*(1 - 2).
17
Suppose 11*x - 40 = 4. Suppose 2*v + 6 = 0, 4*i - 4*v - 38 - 26 = 0. What is the remainder when i is divided by x?
1
Suppose -794 - 331 = -15*o. What is the remainder when o is divided by 11?
9
Suppose -y = -4*v - 2 + 26, -15 = -v - 2*y. Let g(i) = i**3 + 7*i**2 + 5*i - 3. Calculate the remainder when v is divided by g(-6).
1
Suppose -3*m - 2*m + 15 = 0. What is the remainder when 8 is divided by m?
2
Let x = -12 + 17. Let q(j) = -j**3 + 4*j**2 + 7*j + 1. What is the remainder when q(x) is divided by 0 - 1/(1/(-6))?
5
Let f(m) = 3*m - 3*m - 5*m + 4. Let b be f(5). What is the remainder when (-2)/(-7) + (-351)/b is divided by 6?
5
Let q(d) = -4*d. Let c be q(1). Let k be (c/(-8))/(1/6). Suppose 0 = k*v - 23 - 82. Calculate the remainder when v is divided by 12.
11
Let u = 29 + 3. Calculate the remainder when 159 is divided by u.
31
Let i = 13 - 9. Let r = 27 - i. What is the remainder when r is divided by 11 - ((-6)/(-2) + -4)?
11
Suppose 0 = 3*j - 8*j + 580. Suppose 5*a + 4*w - 111 = 0, 0*a + j = 5*a - w. Calculate the remainder when a is divided by 5.
3
Suppose -4*x = -230 - 70. Calculate the remainder when x is divided by 19.
18
Suppose 2*u + 2*u - 200 = 0. Suppose 0*d + 2*d - u = 0. What is the remainder when d is divided by 9?
7
Let o be 3*-2*7/(-7). What is the remainder when 13 is divided by (8/(-6))/((-2)/o)?
1
Suppose -2*s - s - 44 = -5*i, 3*i - 24 = s. Calculate the remainder when 13 is divided by i.
6
Let f(k) = 4*k - 3. Let d be f(-3). Let j = d + 16. Calculate the remainder when 1 is divided by j.
0
Let g(k) = k**3 - 2*k**2 - 3*k + 3. Let z be g(2). Suppose -176 = -31*r + 23*r. What is the remainder when r is divided by ((-16)/6)/(1/z)?
6
Suppose -3*f + 5 = -7. Suppose 0 = -3*m + a + 52, m - f = -0*m - 3*a. Calculate the remainder when 61 is divided by m.
13
Let b(o) = -o**2 + 6*o + 5. Let u be b(6). Suppose 2*d + 3*f = -2*d + 11, -30 = -3*d + u*f. What is the remainder when d is divided by 3?
2
Suppose -85 = -4*g - g. Calculate the remainder when 37 is divided by g.
3
Let v(l) = l**3 + 5*l**2 - 3*l - 7. Let n be -10*3*(-3)/(-18). Let x be v(n). Suppose x*g - 3*g = 260. Calculate the remainder when g is divided by 18.
16
Suppose -7*m + 88 = -3*m. Let t(o) = o**2 - 17*o - 12. Calculate the remainder when m is divided by t(18).
4
Suppose -3*u - 25 = -1. Let o(k) be the second derivative of -k**3/2 - 5*k**2 - k. What is the remainder when o(u) is divided by 8?
6
Let p(f) = 8*f**2 + 0*f - 1 + 0*f. What is the remainder when 10 is divided by p(1)?
3
Let z(k) be the third derivative of k**6/120 + k**5/20 + k**3/3 - k**2. Calculate the remainder when 11 is divided by z(-2).
5
Suppose -7*k + 77 - 28 = 0. Suppose 54 = 5*o + 2*v - 13, 0 = 3*o + 5*v - 44. Calculate the remainder when o is divided by k.
6
Suppose -150 = -4*k - k. Suppose -k - 42 = -4*i. Calculate the remainder when 53 is divided by i.
17
Suppose 5*a = -5*s + 5, -4*s - s = 10. Suppose -x - x + 5*w + a = 0, x + 2*w = 6. What is the remainder when 11 is divided by x?
3
Suppose 0 = 2*t + 2, -2*v + 3*t + 53 = 3*v. What is the remainder when 28 is divided by v?
8
Let x(h) = 1. Let m(w) = -11*w - 7. Let l(g) = m(g) + 6*x(g). Calculate the remainder when (-4)/8 - 57/(-2) is divided by l(-1).
8
Suppose 2*x + 0*x + 2 = -5*q, 3*x + q = 10. Suppose -x*c + 104 = 8. Calculate the remainder when c is divided by 13.
11
Let r(v) = v**3 - 18*v**2 + 20*v - 14. Calculate the remainder when 73 is divided by r(17).
36
Let p be (-2)/6 + (-588)/(-9). Suppose k + 4*k - p = 0. Suppose 0*l - 111 = -3*l. Calculate the remainder when l is divided by k.
11
Suppose 0 = c - 6*c + 5*t + 95, 0 = -5*c - 3*t + 71. Suppose -2*v - 156 = -5*k + 167, -5*k = -3*v - 327. Calculate the remainder when k is divided by c.
15
Let j = 1 - -5. Let w(t) = -2 - 2*t + 8*t - t. Calculate the remainder when w(j) is divided by 10.
8
Let d(o) = o**2 + o + 14. Let n(g) be the first derivative of g**4/4 + 7*g**3/3 - 5*g**2/2 + 5*g + 1. Calculate the remainder when n(-7) is divided by d(0