e second derivative of -k**5/20 + k**4/4 + k**3 - 7*k**2/2 + 6*k. Let u be v(6). Let g = -54 - u. What is the units digit of g?
5
Let n be 1*-2 + (-4 - -8). Let h be (-4 + n)*4/(-2). Suppose 0*w = 3*w - h*z - 70, -2*w - 2*z = -42. What is the units digit of w?
2
Suppose -3*p + 12558 = 29*m - 34*m, -m - 16761 = -4*p. What is the tens digit of p?
9
Let n = 78 - -680. What is the units digit of n?
8
Let i(c) be the first derivative of 8*c**3 + c**2/2 + 13. What is the hundreds digit of i(-3)?
2
Let j be (-5301)/(-21) + (-1)/((-14)/(-6)). Suppose -7*b + 147 = -j. What is the tens digit of b?
5
Let u(k) = k**2 - 109*k + 4. What is the units digit of u(-26)?
4
Let k = -21 - -1476. What is the hundreds digit of k?
4
Let h(r) = -4*r - 1. Let q be h(8). Let a = 4 - 1. What is the units digit of 77/q*a*-3?
1
Let r(l) = -l + 47. What is the tens digit of r(19)?
2
Let h(j) = -j**3 + 22*j**2 + 17*j - 42. What is the thousands digit of h(20)?
1
Let n be 2/4 - (-18)/4. Let u(j) = n*j**2 - 8*j**3 + 5*j + 7*j**3 - 2*j + 3. What is the tens digit of u(5)?
1
Let c(t) = -t**2 - 6*t + 9. Let y be c(-7). Suppose 5*z + 5*o = 4*o + 73, -2*o + 56 = 4*z. Let h = z + y. What is the tens digit of h?
1
Let r be ((-30)/(-195) + 56/(-26))/(-1). Suppose 0 = 4*v + 2*w - 54, r*v = -0*v - 2*w + 32. What is the units digit of v?
1
What is the units digit of (-4240)/(-3) + (-14)/42?
3
Suppose -12*b - 2*b + 23618 = 0. What is the thousands digit of b?
1
Suppose 3*m - 781 - 14 = 0. What is the tens digit of m?
6
Let h = 50 - -101. Let c = -97 + h. What is the tens digit of c?
5
Let j = 17 + -17. Suppose 4*s - 8 + 0 = j. Suppose s*u = d - 2*u - 35, -5*d + 157 = -2*u. What is the tens digit of d?
3
Suppose 2*m - 5*h = 6806, -3*m + 4*h = 2275 - 12484. What is the hundreds digit of m?
4
Let j be 2/(-12) - (-238)/(-12). Let h be (-3)/6*-3*-6. Let z = h - j. What is the units digit of z?
1
Let d(j) be the third derivative of -j**5/60 + j**4/12 + 4*j**3/3 + j**2. Let p = 719 - 719. What is the units digit of d(p)?
8
Let t(x) = -x - 14. Let l be t(-15). Let r(n) = 78*n**3 - n**2 + 1. What is the units digit of r(l)?
8
Let w(g) = -g**2 - 6*g + 3*g - 7*g**2 + 5 + 0*g**3 + 3*g**3. What is the units digit of w(4)?
7
Suppose 2*f + 6 - 24 = 0. Let p(d) = d**2 - 9*d + 14. What is the tens digit of p(f)?
1
Suppose -2*i - 2*y = -438, 17*y - 900 = -4*i + 21*y. What is the units digit of i?
2
Let l = -150 + 476. What is the units digit of l?
6
Let u(x) = 381*x + 10. Let s be u(2). Suppose 5*w - s = -h, -w - 4*h = -26 - 117. What is the tens digit of w?
5
Suppose -n + 4*n = 5*n. Suppose 4*o - 7 = 1. Suppose 3*s = f - 50, n*f - 55 = -f + o*s. What is the units digit of f?
5
Suppose 4*z - 1956 = -3*y, 4*z + 4*y - 5*y = 1940. What is the tens digit of z?
8
Suppose -y - 7620 = -3*g, 4*g - 7898 = -2*y + 2262. What is the tens digit of g?
4
Let u be (0/(-2))/2 + 15. Let s = u + -15. Suppose -82 = -s*c - 2*c. What is the tens digit of c?
4
Let h be (3 - (-3)/1) + -2. Suppose -r + 1 = 0, 1019 = -c + 6*c + h*r. What is the tens digit of c?
0
Let f(u) = 238*u**2 + 3*u + 10. What is the hundreds digit of f(3)?
1
Suppose -18*r + 17*r = -70. Let z = r - 24. Let f = z + 12. What is the tens digit of f?
5
Let g be -2*2*(3 + (-329)/28). Let h be (2 - 2 - -1) + 1. Suppose h*o - g = 7. What is the tens digit of o?
2
Let s(l) = 104*l**2 - l - 1. Let c be s(-1). What is the tens digit of (130/c)/((-2)/(-1 - 127))?
8
Suppose -5*v + 4270 = -d, -2*v - 2*d - 395 + 2115 = 0. Suppose -4*n + 7*n = 2*r - 583, 3*r + 2*n - v = 0. What is the tens digit of r?
8
Let a = -38 + 35. What is the tens digit of 48/2 + 1 - a?
2
Suppose 9*w - 3*w = 414. What is the units digit of w?
9
Let f = 402 + -245. What is the tens digit of f?
5
Suppose -374 = 2*v - 614. What is the units digit of v?
0
Suppose -2*x - 15 = 25. Let i = -20 - x. What is the units digit of -13 + 30 + -1 + i?
6
What is the thousands digit of 5/(-6) + (-5754762)/(-1404)?
4
Suppose -s + 119 + 210 = 3*x, -4*x - s + 437 = 0. Suppose -u + 774 = 4*z - 4*u, -2*u = 4. Suppose x = 5*q - z. What is the tens digit of q?
6
Suppose 2*f + 4 = 0, -2*l + f = -10 + 4. Suppose -2*t - l = 48. Let i = -7 - t. What is the tens digit of i?
1
Let q = 85 + -81. Suppose r - q*r = -27. What is the units digit of r?
9
Suppose 1254 = 3*j + t, 2*j + 2*t - 1009 = -173. What is the units digit of j?
8
Let h(d) = -d**2 + 10*d + 23. Let f be h(11). Suppose f*x + 0*x = 228. What is the units digit of x?
9
Let w = -1 + -2. Let x(j) = 3*j**2 + 7*j. Let o(y) = 9*y**2 + 20*y + 1. Let v(l) = 4*o(l) - 11*x(l). What is the units digit of v(w)?
2
Let u = -40 - -57. Let s = u - 8. What is the units digit of s?
9
Let g(f) = 3*f**3 - 3*f**2 - f - 3. Let a be 15/4 + 6/(-8). What is the units digit of g(a)?
8
Suppose 0 = 3*i + 2*w - 2648, -16*i + 11*i + 4416 = 4*w. What is the tens digit of i?
8
Let b(g) = 291*g - 14. Let n be b(2). Suppose a + n = 9*a. What is the tens digit of a?
7
Suppose 3*u = 5*d + 1634, -24*u - 2682 = -29*u - 2*d. What is the hundreds digit of u?
5
Let b = -118 - -221. Suppose 4*n - b = 125. What is the units digit of n?
7
What is the units digit of 1*(1/(-5) - (-21924)/45)?
7
Let k(d) = 20*d**2 - 40*d + 3. What is the units digit of k(8)?
3
Suppose -6 = 15*k - 16*k. Suppose 13 = r - k. What is the units digit of r?
9
Let z(m) = -2*m - 2. Let a be z(-6). Let v(c) = -c**3 + 9*c**2 + 11*c. What is the units digit of v(a)?
0
Let n = -135 + 428. Suppose t + 4*r = -n, -2*t = -5*t + 2*r - 949. What is the units digit of (-6)/(-21) - t/7?
5
Suppose -5*i + 328 = 4*n, 4*n - 158 = 2*n - i. Let l(t) = -13*t + 2. Let v be l(3). Let k = n + v. What is the tens digit of k?
4
Let y = -42 + 77. Suppose -13*v = -y - 30. What is the units digit of v?
5
Suppose 0 = 51*l - 52*l - g + 80, 3*g + 355 = 4*l. What is the units digit of l?
5
Suppose 5*x - 8*x = -150. What is the tens digit of x?
5
Let b(o) = -3*o**2 + 9 + 5*o**2 - 5*o + 5*o**2. What is the tens digit of b(3)?
5
Let w(x) = -2*x - 15. Let z be w(-9). Let s be 3/6 + z/(-6). Suppose s = -11*r + 6*r + 40. What is the units digit of r?
8
Suppose 0*n + 3*k = -3*n + 3, 2*n = k + 2. Suppose f + f - 5 = -5*p, 0 = 2*f - p + 13. Let x = n - f. What is the units digit of x?
6
Suppose -3*v = -2*t - 1427, 8*v - 2381 = 3*v + 4*t. What is the hundreds digit of v?
4
Suppose -5*z + 74 = 4*m - 6, 0 = m - 4*z - 41. Let p = m + -15. Suppose -7*h = -2*h + a - p, -h - a + 6 = 0. What is the units digit of h?
1
Suppose 2245*h = 2232*h + 44915. What is the hundreds digit of h?
4
Suppose -8*b + 55 = -3*b. Suppose 275 = -6*q + b*q. What is the units digit of q?
5
Let y be (1/(-3))/(1/(-18)). Suppose y = w - 2*b, 5*w - 7*b - 15 = -2*b. Suppose 3*i + 3*m - 135 = 0, w*i - 5*i = -4*m - 216. What is the tens digit of i?
4
Let j be 2/(-2 + 0) - 4. Let r = j + 4. What is the units digit of (-1)/(r - (-7)/8)?
8
Let z = 954 - 673. Suppose 4*t = -2*n + z - 67, 50 = t + 4*n. What is the units digit of t?
4
Let q(s) = 5*s + 5. Let p be q(-3). Let v be -4 + (2 - 1) + -2. What is the units digit of (-6)/p - 7/v?
2
Let t(w) = 89*w - 670. What is the tens digit of t(47)?
1
Let r(h) = 29*h + 3. What is the hundreds digit of r(7)?
2
Suppose -3*b + 2*j = -27, -3*b + 27 = -j - 4*j. What is the units digit of 23 - 3*(-3)/b?
4
Let g = -1689 - -3220. What is the thousands digit of g?
1
Let i be -1*(-1 + 4 + -7). Let b(f) = -i + 3*f + 9 + 2 - 4. What is the units digit of b(6)?
1
Let h = -39 - -39. Suppose -4*l + 412 + 12 = h. What is the units digit of l?
6
Let s = -2752 - -5682. What is the hundreds digit of s?
9
Let p(g) = 73*g**2 + 15*g - 43. What is the units digit of p(4)?
5
Suppose -1101 = -5*m - 11. Let v = -105 + m. What is the units digit of v?
3
Suppose -6*d - 3 = -15. Suppose -p - d*p + 96 = 0. What is the units digit of p?
2
Suppose 5*c - 18 = -3*y + 2*c, y = c. Suppose 0 = 4*n - 3*n - y. Suppose n*x - 28 = 29. What is the units digit of x?
9
Let a(t) = 12*t**2 + 31*t - 33. What is the hundreds digit of a(14)?
7
Let q be 5 + (3 - 30/5). Let u be q/(-12) - (-12)/72. Suppose u = -3*t - 4 + 58. What is the units digit of t?
8
Let o = 1593 + 972. Suppose 0 = 6*n - 21*n + o. What is the hundreds digit of n?
1
Let o be 1/(((-1)/2)/((-7)/2)). What is the hundreds digit of 1/(513/1771 + (-2)/o)?
