the remainder when ((-1)/(-2))/((-1)/(-70)) is divided by 12.
11
Let b(h) be the third derivative of -h**6/120 - 3*h**5/20 + h**4/3 - 5*h**3/6 + 2*h**2. Calculate the remainder when (-1)/3 - (-266)/6 is divided by b(-10).
14
Suppose -5*z + 3*z = -t - 16, -4*t = -4*z + 24. What is the remainder when z is divided by 3?
1
Let m = -11 + 4. Let s = m - -19. Calculate the remainder when 34 is divided by s.
10
Let u(a) = 3*a**2 - 2*a - 2. Let v = 1 + 3. Calculate the remainder when u(v) is divided by 13.
12
Let d(s) = -s**3 - 6*s**2 - 2*s. Let p = 14 + -20. Calculate the remainder when 34 is divided by d(p).
10
Suppose 0 = -5*i - p - 90, 0*i - 2*p = -3*i - 41. Let m = i + 20. Calculate the remainder when 6 is divided by m.
0
Suppose -2*p - 3*p = 410. Calculate the remainder when 41 is divided by (-3)/(-6) + p/(-4).
20
Suppose m + 3*u = 38, 5*m - u - 105 = u. Calculate the remainder when m is divided by 6.
5
Suppose -2*t = -3*t - 3*p + 28, -3*p - 36 = -3*t. Suppose 0 = q + 3, -20 = -3*u + 4*q + 19. Calculate the remainder when t is divided by u.
7
Let k(o) = -2*o - 4. Calculate the remainder when 18 is divided by k(-7).
8
Suppose 0*o = 4*o - 52. Suppose -2*d + 46 = 3*d - 2*f, 0 = 3*d - 5*f - 39. Calculate the remainder when o is divided by d.
5
Let w(l) = -10*l + 4. Calculate the remainder when (0 + 1)/(1/55) is divided by w(-1).
13
Suppose 59*i - 56*i - 78 = 0. What is the remainder when 98 is divided by i?
20
Let j be (1 + 3)/((-1)/(-10)). Let w = 89 - j. Suppose 2*i + i = 39. Calculate the remainder when w is divided by i.
10
Suppose 4*n = -5*t + 601, -226 = 4*t - 6*t + 2*n. Calculate the remainder when t is divided by 30.
27
Suppose 0 = -t + 3 - 0. Suppose 3*p + 34 = 4*r, -19 = -2*r - t*p + 7. Calculate the remainder when 17 is divided by r.
7
Suppose y - 9 = -f, -4*f + 2*y = -0*f - 48. What is the remainder when 20 is divided by f?
9
Let j be (10/3)/(4/72). Let t = j + 3. Suppose -13 = 5*v - t. What is the remainder when v is divided by 4?
2
Let u(j) = 8*j + 2. Suppose -2*f + 4 = 12. Calculate the remainder when u(2) is divided by 384/40 - f/10.
8
Let t(i) = i + 83. Let b be t(0). Suppose -3*n = -5*l - 35, -2*l = 5*n + 2*l - b. Calculate the remainder when n is divided by 4.
3
Suppose 2700 = 5*f - 5*m, -2680 = -5*f + 4*m - 3*m. Calculate the remainder when f/35 - (-4)/(-14) is divided by 3.
0
Let w(x) = 25*x + 5. Let q be w(5). Suppose -3*l - l = 3*m - q, -l = m - 32. Calculate the remainder when l is divided by 12.
10
Let w = 97 - 68. Calculate the remainder when (5 + -9 - -3 - -51) + 5 is divided by w.
26
Let k(v) = v**3 - 16*v**2 - 16*v - 7. What is the remainder when 37 is divided by k(17)?
7
Let j = 2 + -4. Let s = -2 - j. Suppose s = -0*v - v + 11. Calculate the remainder when 21 is divided by v.
10
Suppose -11*s - 91 = -12*s. What is the remainder when s is divided by 19?
15
Let j = 7 + -5. Calculate the remainder when 24 is divided by j/(-8) - 318/(-24).
11
Let z = -39 - -60. What is the remainder when z is divided by (-1)/(-2) - 46/(-4)?
9
Let v = -7 + 15. Let n = v + -3. Suppose 129 = n*o - 11. Calculate the remainder when o is divided by 10.
8
Let d be ((-170)/(-15))/(2/3). Let o(x) = -x**3 + x**2 + 4*x + 3. Let z be o(-3). Let q = z - d. Calculate the remainder when q is divided by 6.
4
Suppose -4*j = -5*y - 37, 4*j - 2*y - 16 = 6. Suppose -119 = -j*k + 70. What is the remainder when k is divided by 16?
15
Suppose -3*l = -l - 26. Let g = -2 + l. Suppose 0 = z + 4*b - 33, z = -3*b + 18 + 12. What is the remainder when z is divided by g?
10
Let p = 80 + -35. Let l be 1/((3/p)/1). Suppose 0 = 2*m - 15 - l. What is the remainder when 43 is divided by m?
13
Let p = 82 - 128. Let l(g) = -g**2 + g - 30. Let j be l(0). Let k = j - p. Calculate the remainder when k is divided by 6.
4
Let w(k) = -11*k + 2. What is the remainder when 22 is divided by w(-1)?
9
Let a be 0 + (-3)/(6/(-10)). Suppose 0*d + 4 = -3*d + t, -a*d + 5*t = 10. What is the remainder when 5 is divided by d/(-1) - 2/(-2)?
1
Let q be 12/2 + 0/(-1). Suppose -3*u - q = -0*u. What is the remainder when 12 is divided by (21/(-9) - u)*-21?
5
Suppose 4*p + 0*d = -3*d + 83, p = 5*d - 8. What is the remainder when 117 is divided by p?
15
What is the remainder when 34 is divided by -7*3/(-3 + 0)?
6
What is the remainder when 9 is divided by (2 - 12)*(-1)/2?
4
Suppose 2*l - 3*l + 29 = r, -2*r = -5*l + 145. Let k be 1/2*(-114)/3. Let z = k - -29. Calculate the remainder when l is divided by z.
9
Suppose -57*v + 53*v + 176 = 0. Let d(c) = -c**2 + 8*c + 3. Calculate the remainder when v is divided by d(6).
14
Let s = 6 - 0. Calculate the remainder when 53 is divided by s.
5
Let v be (-86)/(-2) - (-4 - -5). Suppose 33 = x - v. Suppose 6*i - x = i. Calculate the remainder when 28 is divided by i.
13
Let b(q) = 20*q**2 + 38*q - 4. Let r(i) = 7*i**2 + 13*i - 1. Let k(w) = -6*b(w) + 17*r(w). Calculate the remainder when k(-7) is divided by 5.
2
Suppose y - 6*y = -395. Let l = -45 + y. Let w = 20 - 8. What is the remainder when l is divided by w?
10
Let k(c) = -c. Let w be k(-1). Calculate the remainder when 17 is divided by ((-16)/10 + w)*-15.
8
Let k = -6 + 9. Let t(a) = 3*a**2 - 5*a + 4. Let p(s) = -s**3 - 2*s**2 - 2*s + 2. Calculate the remainder when t(k) is divided by p(-2).
4
Let o = -7 + -2. Let w(m) = 4*m**2 + 10*m - 13. Let c(u) = -7*u**2 - 19*u + 25. Let v(r) = -3*c(r) - 5*w(r). What is the remainder when 14 is divided by v(o)?
6
Let q(o) = 2*o. Calculate the remainder when 17 is divided by q(2).
1
Let v(o) = -o + 7. Suppose z - 12 = -3*z. Let g be v(z). Suppose -t - 7 - g = 5*y, t - 2*y - 17 = 0. Calculate the remainder when 34 is divided by t.
7
Let d = -5 + 9. Suppose 2*u + u - 107 = 5*w, -w - d = 0. Suppose 5*a + 5*r = 6*r + 46, 0 = -4*a - 2*r + 48. Calculate the remainder when u is divided by a.
9
Suppose 3*n = -6*i + 7*i - 53, 4*i - 176 = 3*n. Calculate the remainder when i is divided by 15.
11
Let p be (-12 + 0)*44/(-16). Let h = -11 + p. What is the remainder when h is divided by 12?
10
What is the remainder when 2 is divided by (-1)/(0 - (-1)/(-2))?
0
Let s(f) = 3*f - 3. Calculate the remainder when s(26) is divided by 20.
15
Suppose -4*k = -5*k + 92. Calculate the remainder when k is divided by 31.
30
Let k(x) be the first derivative of x**3/3 + 7*x**2/2 + 2*x + 1. Let h be k(-7). Calculate the remainder when 22 is divided by (16/(-2))/(h/(-2)).
6
Suppose -20*i + 21*i = 10. Let w be 1/4 + (-94)/(-8). Let x = 31 - w. What is the remainder when x is divided by i?
9
Suppose j - 12 = -3*j. Suppose -j*t = -4*t + 25. What is the remainder when 99 is divided by t?
24
Let n(u) = u**3 - 15*u**2 + 17*u - 7. Calculate the remainder when 65 is divided by n(14).
30
Let i = -52 - -71. What is the remainder when 113 is divided by i?
18
Suppose -b + 2*v + 335 = 2*b, 5*v + 238 = 2*b. Calculate the remainder when b is divided by 28.
25
Suppose -16 + 2 = -2*t. Let g(s) be the second derivative of -s**5/20 + 7*s**4/12 + s**3/6 - 5*s. Calculate the remainder when g(t) is divided by 3.
1
Let q = -67 + 158. What is the remainder when q is divided by 25?
16
Let t(d) = 34*d**2 - 2*d + 1. Let w(c) be the third derivative of 4*c**5/15 + c**3/6 - 4*c**2. Calculate the remainder when t(1) is divided by w(1).
16
Let k(m) = -m**3 + 11*m**2 + 17*m - 4. Suppose 3*n + 36 = 6*n. Calculate the remainder when k(n) is divided by 19.
18
Suppose -4 = 5*w + 1. Let p = -5 - -16. Calculate the remainder when (7 - w)/((-5)/(-20)) is divided by p.
10
Suppose -2*k = -6*k + 148. Suppose -5*j + 33 = -k. Calculate the remainder when 26 is divided by j.
12
Let f(b) = b**3 - 3*b - 2. Let k be f(-2). Let s = 12 + k. What is the remainder when s is divided by (5/(-15))/(2/(-18))?
2
Let r = 39 + -37. Calculate the remainder when r is divided by 1.
0
What is the remainder when 12/(-72) + 14/12 + 22 is divided by 15?
8
Let y(l) = -l + 11. Let a be 1 - (2 + (-12)/1). Suppose 4*c - t = 49, -4 - a = -5*t. Calculate the remainder when c is divided by y(6).
3
Suppose -i - 3*i - 12 = 0, 3*g - i + 6 = 0. Calculate the remainder when 30 is divided by (0 - g)*16/6.
6
Suppose 0 = 27*w - 23*w - 40. What is the remainder when 38 is divided by w?
8
Suppose -5*r = q - 2*q + 24, -q = -r - 20. What is the remainder when 73 is divided by q?
1