the remainder when (25 - -2) + a/(-4) is divided by 7.
6
Let c(m) = 2*m**2 + 2*m + 3. Calculate the remainder when (1*-1)/((-4)/(-936)*-3) is divided by c(-4).
24
Suppose -15 = -5*j - 0*j. Suppose 0*y = y + 12. Let z = 20 + y. What is the remainder when z is divided by j?
2
Suppose 3*i - 117 = 4*p, 5*i + 0*i + 5*p - 160 = 0. Suppose 0 = -5*r + 13 + 2. Suppose -r*s + 2*s = -12. Calculate the remainder when i is divided by s.
11
Suppose -3*f + 5*i - 21 = -2*f, 3*i + 5 = 5*f. What is the remainder when -1 - (4 + -4) - 12/(-2) is divided by f?
1
Suppose 0 = -0*d + 2*d - 8. What is the remainder when 10 is divided by d?
2
Suppose -224 = -4*p - 40. Let s = -2 - -6. Suppose 0 = s*z - 20 - 44. Calculate the remainder when p is divided by z.
14
Let s(k) = k**2 + 2*k + 3. Suppose n = 7*n - 60. What is the remainder when s(4) is divided by n?
7
Let u = -8 + 15. Calculate the remainder when 32 is divided by u.
4
Suppose -5*q - 4*v - 236 + 658 = 0, -168 = -2*q - 2*v. Suppose 51 = 3*x - 3*g, -g - 3*g + q = 3*x. Calculate the remainder when x is divided by 8.
6
Suppose 1518 = -13*m + 24*m. What is the remainder when m is divided by 10?
8
Suppose -2*w + 0*w + 68 = 0. What is the remainder when w is divided by 7?
6
Let j be (10 + -1)*4/(-6). Let w(i) = -i**2 - 7*i + 3. What is the remainder when 16 is divided by w(j)?
7
Let b = -7 - -41. Calculate the remainder when b is divided by 9.
7
Suppose -8*p + 6*p = -2*f - 88, -2*p = 3*f - 63. Calculate the remainder when 153 is divided by p.
36
Let o(q) be the third derivative of -q**6/120 + 3*q**5/10 - 5*q**4/8 - 19*q**3/6 - 6*q**2. What is the remainder when 43 is divided by o(17)?
13
Suppose 0 = 3*z + 5 + 43. Let b = 11 + z. What is the remainder when 21 is divided by 70/5 + 2 + b?
10
Let c(k) = 3*k**3 - k**2 + k - 1. What is the remainder when 24 is divided by c(2)?
3
Let x(t) = -t**3 + t**2 - t + 38. Let j be x(0). Let f = j - 23. Calculate the remainder when (-4)/(42/22 + -2) is divided by f.
14
Let t be (-1)/(-1) - (6 + 71). Let u = -36 - t. Calculate the remainder when u is divided by 14.
12
Let u = 2 - 0. Suppose 29 = -f - u. Let y = -20 - f. What is the remainder when 41 is divided by y?
8
Suppose -5*z + 189 + 71 = 0. What is the remainder when z is divided by 18?
16
Let l(m) = 5*m + 34. What is the remainder when l(7) is divided by 14?
13
Suppose -3*f - 32 = -4*i - 4*f, -4*f + 16 = 0. Calculate the remainder when 10 is divided by i.
3
Let t(i) = 2*i + 2. Calculate the remainder when (-4)/8*3*(-168)/9 is divided by t(4).
8
Let w be 10/55 - (-46)/(-11). Let z(l) = -2*l**3 - 6*l**2 - 2*l - 4. Calculate the remainder when z(w) is divided by 19.
17
Suppose 6*b + 16 = 2*b - g, -5*g = 4*b + 16. Let n = b + 6. What is the remainder when 3 is divided by n?
1
Suppose -5 - 73 = -3*g. What is the remainder when 76 is divided by g?
24
Let p(j) = j**2 - 10*j + 7. Let x be p(10). Suppose -3*r = -x*r + 236. Calculate the remainder when r is divided by 20.
19
Suppose -6*v - 148 = -10*v. Calculate the remainder when v is divided by 14.
9
Suppose -2*h = -l - 26, 0 = -h - 2*h - 4*l + 17. Suppose 36*b - 37*b + 5 = 0. Calculate the remainder when h is divided by b.
1
Let o(z) = -z**3 - 13*z**2 + 5. Calculate the remainder when 14 is divided by o(-13).
4
Suppose 0 = 3*k + 2*k - 10. Suppose -k*g = -7 + 3. Suppose -a = -g - 5. Calculate the remainder when 25 is divided by a.
4
Let w(z) = z + 33. Let s = 14 + -14. Calculate the remainder when w(s) is divided by 17.
16
Suppose 0 = 4*k - 32 + 12. Suppose 5*j + 0*j - 1 = 2*n, n - k*j - 7 = 0. What is the remainder when ((-18)/n)/(12/64) is divided by 5?
2
Suppose 0*p = 4*p. Suppose 64 = 4*w + 4*h, w + 3*h - 22 = -p*h. Calculate the remainder when 64 is divided by w.
12
Suppose -3*a + q = -0*q, -5*a - 3*q = -14. Let d(l) be the first derivative of 3*l**4/4 - l**2/2 + l + 2. What is the remainder when 7 is divided by d(a)?
1
Suppose 3*h - 8 = -h. Suppose -h*k - 2*k - 4*g + 264 = 0, 2*g = -k + 61. What is the remainder when k is divided by 24?
23
Suppose 2*o = 3*o + 1. Calculate the remainder when 109/2 - o/2 is divided by 19.
17
Suppose 0*o - 32 = -4*o + 4*i, -i = 3*o - 32. Suppose -2*y + 12 = -o. What is the remainder when 20 is divided by y?
9
Let k(b) = -b**2 + 11*b + 2. What is the remainder when 181 is divided by k(8)?
25
Suppose -b + 33 = 5*d, -77 = -5*b - 4*d + d. Suppose 2*t + 0*k - 50 = -2*k, 0 = 3*t - 2*k - 65. What is the remainder when t is divided by b?
10
Suppose 4*v - 4*p = 20, -3*p = v - 0*v - 9. What is the remainder when 17 is divided by v?
5
Suppose -3*v + 0*v = 0. Suppose u - 12 = -v*u. What is the remainder when 8/6*(-297)/(-18) is divided by u?
10
Let v be (-4)/14 - (-519)/(-21). Let i be (v/(-4))/(2/(-8)). Calculate the remainder when 9 is divided by (-115)/i + 2/5.
4
What is the remainder when 25 + (-1 + 2)*2 is divided by 6?
3
Let y(o) = -3*o. Calculate the remainder when ((-15)/4)/((-9)/24) is divided by y(-2).
4
Let c(a) = 3*a**2 - 5*a + 3. Let v be (-4)/((-1)/1) + -1. What is the remainder when 28 is divided by c(v)?
13
Let n = -44 - -73. Calculate the remainder when n is divided by (-17)/(-2) - (-9)/(-18).
5
Suppose 55 = 2*f - f - 2*y, -55 = -f - 3*y. Calculate the remainder when f is divided by 14.
13
Let r = 62 + -26. Let c = r + -27. Calculate the remainder when 52 is divided by c.
7
Let v be (-35)/21 + (-1)/3. Let i(a) be the second derivative of -a**5/20 + a**3/6 + a**2 + 2*a. What is the remainder when 14 is divided by i(v)?
6
Let q(k) = 9*k - 2. Calculate the remainder when 73 is divided by q(3).
23
Let i = -18 + 27. Calculate the remainder when 43 is divided by i.
7
Let m = 3 + -22. Let p = 28 + m. What is the remainder when 26 is divided by p?
8
Suppose -28 - 10 = -a. Suppose -u - 31 = -3*d + u, 4*u + 23 = 3*d. Calculate the remainder when a is divided by d.
12
Let r(b) = -2*b + 0 + 1 + b. Let m(u) = 5*u + 1. Let p(w) = m(w) - 2*r(w). Calculate the remainder when 10 is divided by p(1).
4
Let k(w) = 9*w - 1 + 1. Suppose 0 = 4*j + 20, 14 = 4*d - j - 11. What is the remainder when k(d) is divided by 23?
22
Let s be 48/60*10/(-4). Calculate the remainder when 8 + 0 + (-1 - s) is divided by 6.
3
Suppose 69 = -3*g - 0*g. Let n = g + 32. Let t(p) = -p**3 + 8*p**2 + p + 8. Calculate the remainder when t(8) is divided by n.
7
Let a(s) = -s + 4. Let o be -2*(-1)/(4/(-6)). What is the remainder when a(-7) is divided by o - -2*14/4?
3
Let a(p) = 6*p - 73. What is the remainder when 14 is divided by a(13)?
4
Suppose 2*d + 3*d + 45 = 0. Suppose -5*a = 17 - 57. Calculate the remainder when 6/27 - 277/d is divided by a.
7
Let p(v) = -2*v**2 + 5*v + 13. Let j(u) = 3*u**2 - 8*u - 20. Let l(b) = -5*j(b) - 8*p(b). Calculate the remainder when 82/6 + 4/(-6) is divided by l(3).
3
Suppose -2 = d, 0 = -z - 2*d + 36 + 9. What is the remainder when 97 is divided by z?
48
Let n = -18 + 23. Calculate the remainder when 6 is divided by n.
1
Suppose 3*y + 0*y = 39. What is the remainder when (-38 - (2 - 2))/(-1) is divided by y?
12
Suppose -37 = 5*l - 3*o, -4*o = -4*l - o - 29. Let x = l - -8. Let v(c) = -c**3 - c**2 + 29. Calculate the remainder when v(x) is divided by 15.
14
Let n = -4 - -4. Let i be (-1)/(-1) + (n - -3). What is the remainder when 43 is divided by 61/4 - 1/i?
13
Let l(h) = -4 + 2 + 3*h + 1 - 2. Suppose p - 2*j - 2*j - 23 = 0, 1 = -3*p - 2*j. Calculate the remainder when 23 is divided by l(p).
5
Suppose 27 + 38 = 5*w + 4*k, 10 = -2*k. Calculate the remainder when 97 is divided by w.
12
Suppose 4*c = 3*o - 29, -5*o + 2*c + 39 = -0*o. Let n = -7 + 2. Let r = o + n. Calculate the remainder when 5 is divided by r.
1
Let l = 60 + -42. What is the remainder when 69 is divided by l?
15
Suppose 208 = 9*w - w. What is the remainder when 49 is divided by w?
23
Let r(o) = o + 3. Let x be r(0). Suppose 1 - 64 = -x*u. Let b = 2 - -10. What is the remainder when u is divided by b?
9
Let y be (2 + (-14)/4)*-2. Suppose -y*u + u = -16. What is the remainder when 22 is divided by u?
6
Suppose -4*q + 3*u = -27, 10*u - 25 = -5*q + 5*u. Calculate the remainder when 20 + -2 - 2*1 is divided by q.
4
Let i(o) = -o**2 + 17*o + 13. Let f(c) = c**3 - 3*c**2 + c + 2. Let q be f(2). Suppose -250 = -q*l - 5*l. What is the remainder when l is divided by i(17)?
11
Suppose 5*y = -4*h + y 