ative of -7*q**5/120 - q**4/24 + 2*q**3/3 + 2. Let f(a) be the third derivative of i(a). What is the units digit of f(-1)?
6
Suppose -8*z = -n - 4*z + 111, 0 = -2*n + 5*z + 225. What is the units digit of n?
5
Let u(w) = 8*w**2 + 4*w + 1. Let y(b) = -b. Let k(m) = u(m) + 2*y(m). What is the units digit of k(2)?
7
Suppose -4*j = -7*j - 27. What is the units digit of (-2)/j - (-4296)/108?
0
Let a = 90 + -50. Let s = 20 - a. What is the units digit of 2/(-8) + s/(-16)?
1
Let t be (2/6)/((-10)/(-120)). What is the units digit of (t + -2)*8*1?
6
Let z be 16*(0 - -1)/1. Suppose -4*i - z = -0*i, -5*f = -4*i - 36. Suppose f*k = 5*y - 27, -2*y - 1 = 4*k + 5. What is the units digit of y?
3
Let j be (-2)/(-6) + (-268)/12. What is the units digit of (-6)/(-33) + (-40)/j?
2
What is the hundreds digit of -2 + (-6)/(12/(-466))?
2
Suppose -5*s + 7*s = 6. What is the tens digit of (-2)/s - (-160)/6?
2
Let w(g) = -5*g**2 - 2*g**3 - 4*g**2 + 12 + g**3. What is the units digit of w(-9)?
2
Let t be (12 - -1)*2 + 1. Suppose t = 5*k - 3*a, 2*a + 4 = 4*k + 4*a. What is the units digit of k?
3
Let h = 7 + 15. What is the units digit of h?
2
Let o = 21 + 4. Let z = 52 - o. What is the tens digit of z?
2
Suppose -3*p = 4*r - 86, -3*r - 2*p + 7*p = -50. What is the units digit of 2/(2 - r/11)?
1
Let x = 29 + 1. What is the units digit of x?
0
Suppose -5*i + 190 = 5*t, i = -2*t + 5*t - 118. What is the tens digit of t?
3
Let m(v) = 6*v**2 + 4*v - 5. What is the tens digit of m(5)?
6
Let u = 39 - 7. What is the units digit of u?
2
Let t(k) = 12*k + 1. Let b be t(6). Suppose 5*h - b = -23. Suppose 4*s = 4*z, 3*z = -z + 2*s + h. What is the units digit of z?
5
Suppose 10*o - 12*o = -104. What is the tens digit of o?
5
Suppose -4*q + 8 = 5*i + 1, -4*i + 14 = -q. Suppose l + 5*n - 4*n = -2, i*l + n - 2 = 0. Suppose j = -l*j + 24. What is the units digit of j?
8
Let m(p) = 2*p - 12. What is the units digit of m(11)?
0
Let f be ((-2)/3)/(4/(-18)). Suppose 3*q - 23 = f*h + 10, -3*h = -2*q + 20. What is the units digit of q?
3
Let q = -9 - -8. Suppose 6 = d + 2*d. Let j = d + q. What is the units digit of j?
1
Suppose -2*q = h - 9, q - 1 + 7 = 3*h. Suppose -h*i - 3*b = -0*i - 24, -5*i + 24 = b. What is the units digit of i?
4
Suppose 3*w - 4 = 20. What is the units digit of w?
8
Let h(k) = -k + 1. Let z be h(-4). Suppose 4*b = z*t - 29, 4 = 3*b + 3*t - 8. Let a = 4 + b. What is the units digit of a?
3
Let i(n) = -n**3 + 12*n**2 - 7*n + 3. Let v(s) = -4*s - 3*s + 8*s - s**2. Let w(y) = -i(y) - 5*v(y). What is the tens digit of w(7)?
1
Suppose 23 = a + 5. What is the tens digit of a?
1
Let f = -4 - -1. Let y be (2 + 4)*(-2)/f. What is the units digit of (-6)/(-2) - y - -3?
2
Let d = -23 - 6. Let u be 18/(-3 + 2) + -2. Let o = u - d. What is the units digit of o?
9
What is the tens digit of (-55)/(-3) + (-10)/(-15)?
1
What is the units digit of (3 - -2 - -257) + -3?
9
Let g be ((-13)/(-4) - 2)*-4. Let j = -5 - g. Suppose 2*x + j = 8. What is the units digit of x?
4
Let k(j) = 9*j + 291. What is the hundreds digit of k(0)?
2
Let o = 145 + 25. What is the units digit of o?
0
Let b(i) be the third derivative of -i**6/120 + i**5/12 - i**4/24 - i**3/3 + 2*i**2. What is the units digit of b(2)?
8
Let u = -12 - -20. Suppose f = -0*f + u. What is the units digit of f?
8
Let l = 91 - 67. What is the units digit of l?
4
Let j = 2 - 2. What is the units digit of ((-3)/(-1))/1 + j?
3
Let z be 6/2*(1 - -4). Suppose 3*g + 18 = -3. Let o = z + g. What is the units digit of o?
8
Let m(b) = b**2 + 6*b + 6. What is the units digit of m(-5)?
1
Let w(u) = 18*u**2 - 6*u - 11. What is the units digit of w(4)?
3
Suppose -4*q + 4 = -b + 82, 0 = -4*b - 5*q + 417. What is the units digit of b?
8
Let b = 3 - 7. Let y(x) = -4*x - 5. Let v be y(b). Let f = 20 - v. What is the units digit of f?
9
Let k = 1 + 0. Let q be 132/18 - k/3. Suppose 0*c - c = -q. What is the units digit of c?
7
Let q = 2 - -6. What is the units digit of (-9)/2*q/(-6)?
6
Let k be 2 + 0/(6/3). Suppose -5 = -x, k*i - 6*i - x + 5 = 0. Suppose 3*f - 7*f + 88 = i. What is the tens digit of f?
2
Suppose -83 + 135 = 2*v. What is the tens digit of v?
2
Suppose -2*s = 2*j - 6*s - 22, 16 = j - s. What is the tens digit of j?
2
Let j(c) = 4*c**3 - c**2 + 2*c - 1. Let f be j(1). Suppose 0 = f*u + u - 160. Suppose -u = -2*n + 5*r, -3*r - 28 = -3*n + n. What is the units digit of n?
1
What is the units digit of (-4)/(-24) - (-179)/6?
0
Suppose -2*r + 6*r - 48 = 0. Let v(g) be the first derivative of g**3/3 - 11*g**2/2 - 6*g - 6. What is the units digit of v(r)?
6
Suppose -1 = -x + 3. What is the units digit of 3*(x/3)/1?
4
Suppose h + 4*z - 47 = 5*z, 4*z - 76 = -2*h. Let n = h - 11. What is the units digit of n?
3
Let u(s) = -5*s**3 - 4*s**2 + 2*s + 4. Let z(g) = -4*g**3 - 3*g**2 + g + 3. Suppose 3*l = 2 + 16. Let n(i) = l*z(i) - 5*u(i). What is the units digit of n(-3)?
1
Let j(v) = -3*v - 7. What is the units digit of j(-5)?
8
Suppose 0 = -6*o + 2*o + 16. Suppose 5*l - 4 - 1 = 5*y, 0 = 4*l - 12. Suppose y*z + o = 5*k - 28, 2*z = -2. What is the units digit of k?
6
What is the tens digit of 4 + 2 + 11 + 3?
2
Suppose 3 = -4*y + 6*v - 3*v, -4*v = -4. Let k be (1 - (-2 + 2)) + 17. Suppose 2*m - k = -i, m - 4*i = -y*i + 18. What is the units digit of m?
0
Suppose 0 = 3*d - 0*d - 693. What is the hundreds digit of d?
2
Suppose 20 = 4*q + 4. Suppose 0 = q*c - 4*v - 24, 4*v + 28 = 5*c + v. What is the units digit of c?
5
Suppose -5*a = 5*p - 2*a + 60, 0 = -p - 3*a - 12. Let c = p - -48. Suppose 0 = 3*l - 12 - c. What is the units digit of l?
6
Let o = 20 - 12. Let t(w) = -w**2 + 8*w + 8. What is the units digit of t(o)?
8
Let o = 24 + -42. Let b = o - -29. What is the units digit of b?
1
Let f(n) = -n**3 + 5*n**2 + 9*n - 4. Let z be f(6). Suppose 0 = -0*s - s + z. What is the tens digit of s?
1
Let h be 1*(-1 + 2*10). Suppose -5*r = -10*r - 45. Let c = h + r. What is the units digit of c?
0
Let q(r) = r**3 + 6*r**2 + 2*r + 4. Let b be q(-4). Suppose 3*c + 29 + b = x, 0 = 2*x + 5*c - 59. What is the tens digit of x?
4
Let h be 1/(-2 - 46/(-22)). Let c = h - 8. Suppose -1 = 2*n - 3*j, c*n - 22 = j - 6. What is the units digit of n?
7
Let f = 271 - 115. Suppose 5*d - 461 = -f. Suppose -2*v = 2*c - 24 - 10, -5*c + d = -v. What is the units digit of c?
3
Let b(n) = -2*n**3 + n**2 - n + 2. What is the tens digit of b(-2)?
2
Let i = 19 - -21. What is the units digit of i?
0
Let p = 0 + 0. Let g = -2 + 4. Let b = g + p. What is the units digit of b?
2
Suppose 5*x - 20 = x. Suppose -3*d + 2 = x, 4*z - 53 = 5*d. Suppose -4*b - 3 = 9, 3*l - 3*b - z = 0. What is the units digit of l?
1
Suppose k + 4*k = 60. What is the tens digit of k?
1
Let m(u) be the second derivative of u**4/12 + 2*u**3/3 - 4*u**2 - u. Suppose 3*l + 39 = -5*y, 2*y + 3*l + 15 = 2*l. What is the units digit of m(y)?
4
Suppose -6 = t - 0. What is the units digit of (66/(-4))/(t/8)?
2
Suppose -2 = -w - 0*w. Suppose -q = w - 4. Let c(j) = j**3 + j**2 - 3*j + 3. What is the units digit of c(q)?
9
Suppose y - 5 = -5*j + 2*j, -5 = j + 2*y. Suppose -2*p + 4*p = 4. Suppose 5*t - 4*f = j, t + f = -p*f + 12. What is the units digit of t?
3
Let j(a) = -a**3 - 7*a**2 - 5*a + 7. Let x be j(-6). Let q be 0*(-2)/6 + -1. Let m = x - q. What is the units digit of m?
2
Let b = 0 - -15. What is the units digit of b?
5
Let y be -1 + 0 - -4*1. Suppose 0 = j + y*c, 0*c - 2*c - 56 = -4*j. What is the tens digit of j?
1
Suppose -55 + 167 = k. Suppose -2*m - 3*p + 55 = 0, -k = -4*m - 0*p - 4*p. What is the units digit of m?
9
Suppose 4*x - 210 = 366. What is the hundreds digit of x?
1
Suppose 580 = 6*n - n. What is the hundreds digit of n?
1
Let t(f) = -16*f + 2. Let w be t(-3). Suppose w = 6*m - 5*m. What is the tens digit of (6/15)/(2/m)?
1
Let t = 542 - 242. What is the units digit of t?
0
Suppose -36 = -4*l + 56. Let t = l + -8. What is the units digit of t?
5
Suppose 0 = 5*r - 113 - 12. What is the tens digit of r?
2
Let s = -53 - -129. What is the units digit of s?
6
Let g(u) = u**2 - 7*u + 7. Suppose -3*x + 18 = 5*s, 4*s + x - 20 = -0*x. What is the units digit of g(s)?
1
Suppose 136 = w - 119. What is the hundreds digit of w?
2
Let l be 96/5 + 2/(-10). Suppose -j + l = -1. Suppose j = 2*w - r, 3*w - 20 = w - 2*r