at is the units digit of k?
6
Let s be -2 + 2 + (-3)/3. Let t be (-6)/(3*s)*10. Suppose 2*v - 4*g - t = 0, 5*v - 4*g - 50 = -0*g. What is the tens digit of v?
1
Let q(f) be the third derivative of f**5/60 - f**4/24 - f**3/3 + 2*f**2. Let a be q(2). Suppose a = 2*l - 6. What is the units digit of l?
3
Let p = -7 - -10. Suppose -p*f + 43 + 35 = 4*l, 3*f - 78 = 5*l. What is the tens digit of f?
2
Let b = -14 + 39. What is the tens digit of b?
2
Let f be (-1 + (-1)/(-3))*-33. Suppose 3*x = 5*o - 3*o + 8, 4*x - f = -3*o. Suppose 2*r - 4*d = -d - 1, d - 5 = -x*r. What is the units digit of r?
1
Let g = -9 - -11. Suppose 2*j - 7*j - 4*m + 132 = 0, g*m = 4*j - 116. What is the tens digit of j?
2
Let u(z) = 2*z**2 + 12*z. Let q = -28 - -20. Let x be u(q). Suppose v = 2*g - x, -3*g + 4*v + 38 = -g. What is the tens digit of g?
1
Let v = -6 + 11. Suppose -2*x = -2*t - 12, -3*x - v*t - 20 = -7*x. What is the units digit of x?
0
Let a(q) = q**2 + 11*q - 5. Let i be a(-11). What is the units digit of (-1 - -4) + -6 - i?
2
Suppose 116 = 3*i - 109. Suppose 0 = -4*s + s + i. Suppose 6*y - y = s. What is the units digit of y?
5
Suppose 5*j - 10 - 10 = 0. What is the units digit of (10/4)/(2/j)?
5
Let c(m) = -7*m - 19. What is the units digit of c(-6)?
3
Let d = 1 - -3. Suppose p = -2*j + d, -j = 3*j + 16. What is the units digit of ((-6)/p)/(1/(-12))?
6
Let y(w) = w**3 - 5*w**2 - 11*w + 6. What is the tens digit of y(7)?
2
Let a = 31 - 19. What is the tens digit of 124/a - (-2)/3?
1
Suppose -1 = -2*p - 5*t + 36, 3*t = -3. What is the units digit of p?
1
What is the units digit of 1/(-1 + 158/156)?
8
Suppose 2 = 2*a - 4. Suppose a*z = -2*m + 52, -m + 54 = 3*z + 2*m. What is the units digit of z?
6
Let a = 33 + 65. What is the units digit of a?
8
Suppose -2*g - 2*c + 184 = 2*g, 0 = -5*c - 10. What is the tens digit of g?
4
Let u(t) = -6*t - 1. Let y be u(-1). Suppose h + y*g = -h + 27, 4*g - 23 = -3*h. Let n = h + 2. What is the units digit of n?
3
Let h(a) = 26*a**2 - 3*a. Let i(u) = 26*u**2 - 4*u. Let c(y) = 3*h(y) - 2*i(y). Let f be c(1). Suppose -7*o + 2*o = -f. What is the units digit of o?
5
Suppose 5*i + 72 = 4*u - 2*u, -5*u - 5*i + 180 = 0. Suppose -q + u = 3*q. Let o = 17 - q. What is the units digit of o?
8
Suppose 65 - 416 = -13*q. What is the tens digit of q?
2
What is the units digit of (30/(-18))/((-2)/6)?
5
Suppose 568 = 6*d - 296. What is the units digit of d?
4
Suppose -2*z + 3*z = -4. Let k = 13 + z. What is the tens digit of k + -1 + -1 + 3?
1
Let z(c) be the second derivative of -c**4/12 + 5*c**3/3 - 3*c**2/2 + 3*c. What is the units digit of z(9)?
6
Suppose 0*a = -a + 125. What is the hundreds digit of a?
1
Let c be -3*(-1 + 2)*-1. Suppose 3*v = 3*b + 21, -v + c*v + 2*b = -6. Suppose -v*m - 2 = -14. What is the units digit of m?
6
Suppose 0*w = 2*w - 8. Suppose w*u = 4*n + 8, 0*u = u + 3*n - 6. What is the units digit of u?
3
Let j(x) = -2*x. Let f(p) = p - 1. Let y be f(-8). What is the tens digit of j(y)?
1
Let a(q) be the first derivative of q**3/6 + 9*q**2/2 - 4*q - 3. Let y(i) be the first derivative of a(i). What is the units digit of y(-8)?
1
Let n(v) = 5*v**2 + 8*v + 16. Let d(w) = -4*w**2 - 9*w - 16. Let j(u) = -4*d(u) - 3*n(u). What is the units digit of j(-12)?
6
Let d(j) = -j**3 - 13*j**2 - 11*j - 1. Let w be d(-12). Let s(k) = -4*k - 4. What is the units digit of s(w)?
8
Let c be 14/3 + (-1)/(-3). Suppose 15 - 5 = c*m. Suppose -2*n - m*q = -2, -6 - 3 = -n + 3*q. What is the units digit of n?
3
What is the tens digit of 4*((-42)/(-4) + 1)?
4
Let i = -11 - -15. Let t = i + 15. What is the tens digit of t?
1
Let o(p) = 16*p + 6. Let n be o(-8). Let t = 173 + n. What is the units digit of t?
1
Let z = -9 - -11. Suppose 5*x - 110 = 4*s, 7*s = -z*x + 3*s + 16. What is the tens digit of x?
1
What is the tens digit of ((-62)/4)/(-4 + (-330)/(-84))?
1
Let d be ((-90)/75)/(2/5). Suppose -2*o + 2*s = o - 4, 2*o + s + 9 = 0. What is the units digit of -3*o/d*-4?
8
Let s = 3 - 9. Let p = s + 10. What is the units digit of p?
4
Let c be 2/5 + 24/15. Suppose -9 = f + h, c*h = -3*f - 0*h - 27. Let v = f + 15. What is the units digit of v?
6
Let w(k) = k**3 - 8*k**2 - 17*k + 2. What is the units digit of w(10)?
2
Let q(y) = y**2 - 9*y - 11. Let m be q(10). Suppose -j = 2*j + 2*d + 2, 4*j - 4 = -d. Let x = j - m. What is the units digit of x?
3
Let u = -55 + 76. What is the units digit of u?
1
Let m = 10 - 12. What is the units digit of 8/(-4)*17/m?
7
Let b(z) be the third derivative of z**6/15 - z**5/30 + z**4/24 - z**2. Suppose g + 5 = 0, v + 2*g - 2 = -11. What is the units digit of b(v)?
7
Suppose -y - 4*y = 0. Suppose y = m - c - 21, -23 = -m - 3*c - 6. What is the units digit of ((-12)/(-10))/(4/m)?
6
Let l be (3 - 10) + 1/(-1). Let t = l + 2. What is the tens digit of ((-24)/(-10))/(t/(-40))?
1
Suppose -5*s = -4*s - 4. Let y(h) = -h**2 + 5*h - 2. Let r be y(s). What is the units digit of (-7)/14 - (-23)/r?
1
Let g = 15 - 17. What is the tens digit of 16/(-6)*39/g?
5
Let v = 8 + 50. What is the tens digit of v?
5
Let s = -3 + 8. Suppose 0 = 2*a - 2*p, -s*a + 3*p + 4 = -6. Suppose -l + 13 = -5*c - a, 0 = l - c - 6. What is the units digit of l?
3
Let l be 224/(-12)*(-12)/(-8). Let i = l + 67. What is the units digit of i?
9
Let d be (-2 - 2*-1)/1. Suppose d = 3*c - 158 - 22. Suppose 2*w = -3*w + c. What is the units digit of w?
2
Suppose 5*c - 2*c = 375. Suppose -5*w + c = 5*i, 6*w - 3*w = 4*i + 40. What is the units digit of w?
0
Let d = -55 + 20. Let y = d + 53. Suppose -p = -3*p + y. What is the units digit of p?
9
Suppose 8*f = 96 + 256. What is the tens digit of f?
4
Suppose -p = -6*p + 305. What is the units digit of p?
1
Let r = 205 + -44. Suppose 0*n - r = -7*n. What is the units digit of n?
3
Suppose 0 = 2*q + 4*o + 8, -2*q + 2*o + 16 = 3*q. Suppose -7*v - 2*m = -q*v - 241, 4*v - 203 = -5*m. What is the units digit of v?
7
Let d(g) = -g + 8. Let x be d(4). Suppose x*t + 170 = 9*t. What is the tens digit of t?
3
Let v = -11 - -14. What is the units digit of v?
3
Let k(j) be the second derivative of j**4/12 - 2*j**3/3 - 3*j**2/2 + 3*j. What is the units digit of k(-3)?
8
Suppose 130 = -3*j + 52. Let d = 52 + j. What is the units digit of d?
6
Let y(u) be the first derivative of -u**4/4 + 2*u**3 - 3*u**2/2 - u + 2. What is the units digit of y(3)?
7
Suppose 10 + 10 = 5*f. Let v be (-4 + f)*(-2)/4. Suppose -5*n = -5*u + 20, -2*u + 7*u - 3*n - 20 = v. What is the units digit of u?
4
Let z = 2 + -2. Suppose -4*n - w = -18, 2*n - 4*w + 6*w - 12 = 0. Suppose x = 5*m - x - 14, z = -m + n*x - 8. What is the units digit of m?
4
What is the units digit of (-6)/(-33) - 1/((-11)/383)?
5
Let u = 21 + 14. What is the units digit of u?
5
Let d = 5 - -38. What is the units digit of d?
3
Let w(m) = m + 21. What is the units digit of w(-18)?
3
Let w(a) = -a - 2. Let o be 0 - (7*-3)/3. Let d = 4 - o. What is the units digit of w(d)?
1
Let d = 11 - 7. Suppose 2*o = 0, 2*a = d*o - 13 + 33. Suppose -a - 5 = -5*b, 0 = -3*j + 5*b + 15. What is the tens digit of j?
1
Suppose -2*n = 25 - 9. Let h = -2 - n. What is the units digit of h?
6
Suppose -4*o + 128 = y + 3*y, o - 4*y - 12 = 0. What is the units digit of o?
8
What is the units digit of 67 + 4 + -2 + 0?
9
Suppose 253 = s - 5*w, 5*s = 4*s + 3*w + 245. Suppose 98 = 4*h + 2*u - 120, -u - s = -4*h. What is the units digit of h?
7
Suppose -2*z + z = -7. Let t(v) = v**3 - 8*v**2 + 9*v + 3. What is the tens digit of t(z)?
1
Let o be 52/(-12) - (-4)/(-6). What is the units digit of ((-3)/o)/((-4)/(-20))?
3
Let f = 32 + -31. What is the units digit of f?
1
Let u(p) = -9*p + 3. What is the tens digit of u(-2)?
2
Let q = 92 - 55. What is the tens digit of q?
3
Let q(z) = -3*z**2 + 0*z**2 - z + 5*z**2 - 1. Let g be q(-1). Suppose 2*v - 14 = g*o, -3*v + o + o + 20 = 0. What is the units digit of v?
6
Suppose t + 98 = -4*j + 39, -70 = 5*j + 5*t. Let d = j - -24. Suppose d = 3*b - 6. What is the units digit of b?
5
Let m(x) = 3*x**2 - x + 1. Let j be m(1). Suppose -j*i = -6*i. Suppose 2*a - 1 = 3*o + 9, 5*a - 5*o - 25 = i. What is the units digit of a?
5
Suppose -2*y = -2*r + 2, -20 = -y + 3*y + 4*r. Let v(n) = n + 7. Let b be v(y). What is the units digit of (2/3)/(2/b)?
1
Let g(y) be the third derivative of -y**5