7
Let c(k) be the second derivative of 3*k**5/5 + k**4/12 + k**3/6 - k**2/2 - 3*k. What is the units digit of c(1)?
3
Let u(a) = -3*a**2 - 3*a - 4. Let x be u(-4). Let w = x - -64. What is the units digit of w?
4
Let d = -7 - 1. What is the units digit of d/(-16) - (-17)/2?
9
Suppose -5*y - 43 - 77 = 0. Let v = y + 36. What is the tens digit of v?
1
Suppose v - 3*v = -14. Suppose 2 = -z + v. Let b = 20 - z. What is the tens digit of b?
1
Let f(b) = -b**3 + 4*b**2 + 10*b. Let t(a) = -a**3 + 4*a**2 + 11*a - 1. Let p(l) = 6*f(l) - 5*t(l). What is the units digit of p(5)?
5
Let s = -16 - -21. Suppose j + q + 0*q = 13, q = -s. What is the tens digit of j?
1
Let f(y) = y**3 + 2*y**2 + 2*y + 1. What is the units digit of f(4)?
5
Suppose -t - 23 = -2*z + 17, 4*t + 13 = z. Suppose z = 4*m - 39. What is the units digit of m?
5
Let x(o) = o**3 + 7*o**2 + 4*o - 5. Let t be x(-6). Suppose t*w = 2*w + 10. What is the units digit of w?
2
What is the units digit of (2 - 1) + -1 - -37?
7
Suppose 5*t - 10 = 0, 0*t - 10 = -d - 4*t. Suppose -2*f + 4 = 6. Let o = d + f. What is the units digit of o?
1
Let v = -35 - -43. What is the units digit of v?
8
Suppose -2*r = -5*c + 113, c = -0*c + 5*r + 18. What is the tens digit of c?
2
Let d(k) = 2*k**2 - 1 - 7*k + 4*k**3 - 4*k + 0*k**2. Let b(s) = 9*s**3 + 3*s**2 - 23*s - 3. Let p(r) = -3*b(r) + 7*d(r). What is the tens digit of p(-6)?
1
Let p(j) = 5 - 4 + 6 - 9*j - 2*j**2 + j**2. What is the tens digit of p(-7)?
2
Let k(z) = z**3 + 3*z**2 + z + 4. Let i be k(-3). Suppose -j + 10 - i = 0. What is the units digit of j?
9
Let x(k) = k**3 - k**2 - k + 9. Let l be x(0). Let w = -3 + 0. Let z = l + w. What is the units digit of z?
6
Let q(r) = 199*r**3 - 2*r + 1. What is the hundreds digit of q(1)?
1
Let j(y) = -6*y + 3 - 8*y**2 + 5*y**2 + 2*y**2 + 0*y. What is the units digit of j(-6)?
3
Suppose 3*b = 3*z - 27, 4*z = -2*b - b + 36. Suppose -3*u - 15 = 2*r + 2*u, -3*r - z = 3*u. What is the units digit of r - -1*(-4)/(-2)?
2
Let k = -53 - -170. What is the units digit of k?
7
What is the units digit of (-3)/(-2 + 3) + 37?
4
Let x = 8 + 1. Let j = -28 + 40. What is the units digit of j/x*(1 - -2)?
4
Let g = -15 + 8. Let j(k) = 1. Let c(q) = 2*q + 4. Let s(h) = -c(h) - 3*j(h). What is the units digit of s(g)?
7
Suppose -5*w + 2*c + 57 = 0, -2*w - 4*c + c + 19 = 0. Suppose 3*t + 2*t - 15 = 0, 5*d = 3*t + w. What is the units digit of d?
4
Suppose -5*q = -3*q - 6. Let k(l) = -l + 0 - q + 2 + 2*l. What is the units digit of k(7)?
6
Let u(a) = a**2 + 3*a - 3. Suppose 1 - 13 = 3*x. Let n be u(x). What is the units digit of -6 - -7 - (-7 - n)?
9
Let z(d) = -2*d + 3. Suppose j + 2 = -3*h + 1, -j - 16 = -2*h. What is the tens digit of z(j)?
2
Let s be -3*((-10)/(-6) - 2). Let m = 13 - s. What is the units digit of m?
2
Suppose 0*s + 12*s - 1716 = 0. What is the tens digit of s?
4
Suppose c = -3*h - 3*c + 80, -5*h + 140 = 5*c. What is the units digit of h?
2
Let n = 2 - -1. Suppose -2*y = -n - 1. Suppose 0 = 2*i + y*i - 48. What is the units digit of i?
2
Let t = 16 - -7. What is the units digit of t?
3
What is the units digit of (7/21)/((-2)/(-84))?
4
Let v(n) = n**2 - 13*n + 9. Let k be v(9). Let q = -9 - k. What is the units digit of q?
8
Let a(m) = -m**3 + 12*m**2 + 13*m + 15. What is the units digit of a(13)?
5
Suppose 3*k - 67 = -3*f + 2*f, 0 = 5*f - 5*k - 395. What is the units digit of f?
6
What is the units digit of (-416)/(-72) + 4/18?
6
Let f(k) = -k**3 + 7*k**2 + 9*k - 2. Let h be f(8). Suppose c - 5*y - 4 = 0, 73 = 2*c - 3*y + h*y. What is the tens digit of c?
2
Let i = 4 + 2. Let n(f) = f**3 - 4*f**2 - 7*f + 14. What is the units digit of n(i)?
4
Suppose -4*n + 6 = -6*n, 23 = 4*c + 3*n. Let o(p) = -p**2 - 4*p + 8. Let b be o(-6). Let x = b + c. What is the units digit of x?
4
Let b(n) = 4*n + 3. Let h be b(3). Suppose 6*r + h = 7*r. What is the units digit of r?
5
What is the tens digit of (-546)/(-10) - (-9)/(-15)?
5
Let g(n) = 7*n - 13. What is the units digit of g(3)?
8
Let i be (6/4)/((-21)/(-154)). Let s = i - 9. What is the units digit of s?
2
Let p(v) = -7*v**3 + 7*v**2 + 9*v + 13. Let l(u) = 3*u**3 - 3*u**2 - 4*u - 6. Let g(m) = -9*l(m) - 4*p(m). What is the units digit of g(2)?
6
Let k(a) = -41*a - 4. What is the units digit of k(-1)?
7
Let f(w) = -w**2 + 14*w - 4. What is the units digit of f(4)?
6
Let s be (-3 + 3)/(1 + 0). Suppose -4*q - 5*t + 85 = s, 3*q = -q + 2*t + 50. What is the tens digit of q?
1
Suppose 0 = c - 0*c - 4. Suppose -c*l = -l - 4*v - 6, -2*v = 3*l - 6. Suppose -l*x + 9 = x. What is the units digit of x?
3
Let r = 11 - -339. What is the tens digit of r?
5
Let f = 127 - 42. What is the tens digit of f?
8
Suppose 5*g - 12 = 8. What is the units digit of g/(-7) + (-1304)/(-28)?
6
Let u(r) = -r - 4. Suppose 0 = -s - f + 1, -6*f + f = -4*s + 22. Let a(p) = -3*p - 11. Let h(g) = s*a(g) - 8*u(g). What is the units digit of h(-3)?
2
Suppose -u = 4*u - 5*w - 715, 5*w = u - 139. What is the hundreds digit of u?
1
Suppose -5*z - 20 + 5 = 0, 4*u - 4*z - 564 = 0. What is the units digit of 6/(-51) + u/17?
8
What is the tens digit of ((-2)/(-4))/(5/290)?
2
Suppose 3*w - 6 = 2*w. Let l(j) be the first derivative of j**3/3 - 3*j**2 + 3*j + 1. What is the units digit of l(w)?
3
Suppose -3*d + 2*d + 4 = 0. Suppose -2*a = d*a - 114. What is the units digit of a?
9
Let x = 33 - 69. Let s = x - -59. What is the tens digit of s?
2
Suppose -5*j - 2*k = 2*k - 10, 4*j - 8 = 4*k. Suppose -14 = -j*h + 4*h. What is the units digit of 2/h + 44/7?
6
Suppose z + 8 = -3*l - 3, 5*z - l = 9. What is the tens digit of (z - 21)/(-7 - -6)?
2
Suppose 0 = -2*s + 5*m + 33, -m = s + 4*s - 15. Suppose -3*y - y = -s. Suppose 2*j - 11 = y. What is the units digit of j?
6
Suppose -5*f = -4*f - 133. What is the hundreds digit of f?
1
Let i = 2 - -2. Let z be (-63)/(-12) - 1/i. Suppose 12 - 87 = -z*h. What is the tens digit of h?
1
Suppose 3*k = 2*f + k - 86, 3*f = 5*k + 137. What is the tens digit of f?
3
Suppose -5*d + 10*d - 25 = 0. Suppose 29 - 4 = d*h. What is the units digit of h?
5
Let w(t) = t**3 - 2*t**2 - 4*t + 4. Let x be w(3). Let p be ((-1)/2)/(x/(-4)). What is the units digit of 0 - (-2 - p - 2)?
6
Let x(t) = 13*t - 64. What is the tens digit of x(10)?
6
Let b be 12/(-42) + 46/14. Suppose -b*q = 2*q - 115. Suppose -4*t = w - 30, 3*t - w + 2*w = q. What is the units digit of t?
7
Let d(f) = 7*f**3 + 14*f**2 + 7*f - 1. Let h(z) = 6*z**3 + 13*z**2 + 7*z - 2. Let v(x) = 5*d(x) - 6*h(x). What is the units digit of v(-7)?
7
Let v(p) = -p - 6. Let i be v(-4). What is the units digit of i*4/((-24)/87)?
9
Suppose -k = 0, 5*k + 8 + 7 = -5*r. What is the tens digit of (27/2)/(r/(-6))?
2
What is the units digit of (3 - 1)*20/20?
2
Suppose 2*v + 32 = 2*b, 2*v - 4*v + 64 = 4*b. What is the units digit of b?
6
Let d(i) = -i**2 - 8*i - 9. Let p be d(-6). Let f = 7 - p. Suppose -4*c + 8 = -3*h - 5, -12 = -2*c - f*h. What is the units digit of c?
4
Suppose -124 + 15 = -5*r + 4*v, -r + 29 = v. What is the tens digit of r?
2
What is the units digit of -5*(0 + (-28)/10)?
4
Let y(j) = j**2 - 6*j - 1. Let n be y(6). Let i = n + 3. Suppose -k - 8 = -i*k. What is the units digit of k?
8
Suppose 0 = -3*k + 2*z + 6, -4*k - z = 4*z - 31. Suppose 0 = -2*o + 6*o - k. What is the units digit of (-1 - -2 - 0)*o?
1
Suppose 5*a + 20 = -3*f, 9 = f - 4*a - 7. Let b = f + 2. Suppose 0 = b*d - 3 - 3. What is the units digit of d?
3
Suppose 2*x - 24 = -2*x. Let c = 8 - x. Suppose 4*j - 2*j - c = 0. What is the units digit of j?
1
Let n = -37 + 73. What is the units digit of n?
6
Let h be (-2)/8 + (-27)/4. Let n = 11 + h. What is the units digit of n?
4
Let v(d) = -6*d - 3. Let t(l) = l - 1. Let y(h) = -4*t(h) + v(h). What is the units digit of y(-1)?
1
Suppose -3*w - 34 = -2*i, 5*w + 39 = 5*i - 56. What is the units digit of i?
3
What is the units digit of -1 + 3/(-1) + 12?
8
Suppose -26*b + 336 = -10*b. What is the units digit of b?
1
Let d be (8/(-6))/(4/150). What is the tens digit of 1 + 2 - d/5?
1
Suppose -q + 6*q = 130. What is the units digit of q?
6
Suppose 0*g - g + 164 = 0. What is the tens digit of g?
6
Suppose 2*p + t = 5*p + 6, 2*t = -5*p - 10. What is the units digit of (-56)/p*2/4?
4
Let a(s) = s**2 + s - 3. Let i(h) = h - 3. Let b be i(0). Wh