9 + 2, 5*x + 5 = -5*f. What is the units digit of f?
2
Suppose -4*k - 16 = -6*k. What is the units digit of k?
8
Suppose t - 65 = 5*j, -3*t + 5*j + 133 = -112. Suppose 3*o = -7*c + 4*c + 57, 0 = -4*c + 3*o + t. Suppose -c + 9 = -3*d. What is the units digit of d?
4
What is the units digit of 14 + -1 + -3 + -1?
9
Let w(k) be the first derivative of k**3/3 - 2*k**2 - 5*k + 3. What is the units digit of w(6)?
7
Suppose 256 = 2*x + 2*g, 4*g - 644 = -3*x - 2*x. What is the hundreds digit of x?
1
Let a(p) = p - 1. Let b(h) = -h + 1. Let z(u) = 2*a(u) + 3*b(u). Let d = -1 - 0. What is the units digit of z(d)?
2
Let o = -2 + 6. Suppose -o*t = -3*n + 90, 5*n + 2 - 152 = 2*t. What is the units digit of n?
0
Suppose 45*i - 49*i = -44. What is the units digit of i?
1
Let x(y) be the third derivative of 0*y**4 + 5/6*y**3 + 0 - 1/120*y**6 + 0*y - y**2 - 3/20*y**5. What is the units digit of x(-9)?
5
Let h be (2 + 2)*25/20. Suppose 0 = h*b - 8*b + 63. What is the units digit of b?
1
Let o(y) = y + 12. Let t be o(-5). Let a(h) = -h**3 + 6*h**2 + 10*h + 3. What is the units digit of a(t)?
4
Suppose 4*x - 7*x = -36. What is the tens digit of x?
1
What is the tens digit of (-2)/(-9) - 3839/(-99)?
3
What is the tens digit of 41 - 0*(-3)/(-9)?
4
Let n(q) = 9*q**2 - 12. What is the tens digit of n(3)?
6
Suppose 5*s + 4*v - 535 = -v, -4*v + 216 = 2*s. What is the hundreds digit of s?
1
Let t = 3 + 27. What is the units digit of t?
0
Suppose 0 = -4*a + 15 - 47. What is the tens digit of (-6)/a + (-135)/(-12)?
1
Let l(c) = -2*c. What is the units digit of l(-1)?
2
Suppose 0 = -2*a - a + 474. Suppose -5*l - 25 = 0, -a + 7 = -3*h + 5*l. Suppose t - h = -2*t. What is the tens digit of t?
1
Suppose -n = 4, 6*k + 3*n - 73 = k. Suppose -7 = -2*c + 3. Suppose 18 = c*w - k. What is the units digit of w?
7
Suppose 2*f - 80 = -3*f. Let g be f/2*(-3 - -8). Suppose q + g = 6*q. What is the units digit of q?
8
Suppose 0 = -4*f + 5*p + 133, -4*p = 3*f - 4*f + 36. What is the units digit of f?
2
Let q = -3 - -5. Let o(h) = 3*h**q - 4*h**2 + 8*h**3 + 0*h**3 + 1. What is the units digit of o(1)?
8
Suppose 4*j + 3 = 67. Let u be (-1)/((-2)/j) - 2. Let t = u + 6. What is the tens digit of t?
1
Let u(f) = 2*f + 1. Let i be u(1). Suppose 61 = 5*h + 1. Suppose -2*t - 2*t - i*o + 18 = 0, -3*o = -t + h. What is the units digit of t?
6
Suppose -6 = 3*l - 0. Let m = l - -7. What is the units digit of m?
5
Suppose 0 = 2*n - 2*h - 10, -2*h + 7*h + 19 = 3*n. Let s be 0*n*2/12. Suppose 2*g - 16 = -s*g. What is the units digit of g?
8
Let z = -51 + 79. What is the units digit of z?
8
Let j(z) = 16*z + 21. What is the units digit of j(5)?
1
Let k(m) = m**3 - 4*m**2 - 5*m + 7. Let v(b) = -b**3 - 5*b**2 - 5*b + 1. Let a be v(-4). What is the units digit of k(a)?
7
Suppose -6 = -4*k + 94. What is the tens digit of ((-6)/(-10))/(1/k)?
1
Suppose 0 = -5*h + 62 + 23. Suppose -4*z - 36 = -4*j, j + z = 3*j - h. Suppose -j + 30 = 2*g. What is the tens digit of g?
1
Suppose 0 = -5*x + 15. Suppose x*a + 2 + 1 = 0. What is the units digit of (1 - a)/(2/9)?
9
Let r(i) = -i**3 - 4*i**2 + 2*i - 7. Suppose -14 = 3*k + 1. Let s be r(k). Suppose 0 = -0*a - 4*a + s. What is the units digit of a?
2
Let a(r) = -r**2 + 9*r - 6. Suppose k + 2*p = 14, -p + 10 = k - 1. What is the units digit of a(k)?
2
Let s be 0 - 2 - 1 - -11. Let n = s + -4. Suppose -n*y + 5*u + 51 - 15 = 0, 4*y - 36 = 3*u. What is the units digit of y?
9
Suppose 0 = 2*b - 3*j - 127, -5*j - 7 = -4*b + 246. What is the tens digit of b?
6
Let u(m) = 8 - 6*m - 2*m + 0*m**2 + 0*m**2 - m**2. Let x be (8/5)/((-2)/10). What is the units digit of u(x)?
8
Let w(i) = -4*i + i - 3*i + 7 + 5*i. Suppose -3 = -3*g + 12. What is the units digit of w(g)?
2
Let t = -1 + 6. Suppose -t = -5*r, 2*m + r = -r + 50. What is the units digit of m?
4
Let s(l) = -l**3 + 2. Let h(p) = -p + 2. Suppose -u - 4 = -2*u. Let n be h(u). What is the units digit of s(n)?
0
Let s = 12 + 27. What is the units digit of s?
9
Suppose -4*z + 88 = -24. What is the units digit of z?
8
Let q(j) = -2*j**2 + 52*j - 28. What is the hundreds digit of q(21)?
1
What is the hundreds digit of (-10)/(-5) + 285 + 3?
2
Let s(g) = g**3 - 4*g**2 + 10*g. Let r be s(4). Suppose 3*a - r = 14. What is the units digit of a?
8
Let c(d) = -d**2 - 6*d - 1. Let b be c(-5). Suppose 8*i - b*i = 0. Suppose i = -3*n + 20 - 2. What is the units digit of n?
6
What is the units digit of (3/6)/(4/40)?
5
Let b be 25/(-9) + (-4)/18. What is the tens digit of 1 - 2/b*48?
3
Let t(y) = -y**2 - 9*y + 8. Let i(z) = z**2 + 10*z - 9. Let s(a) = -6*i(a) - 7*t(a). What is the units digit of s(-5)?
8
Let p = 4 + -2. What is the units digit of ((-4)/(-12))/(p/54)?
9
Let o be 3/(-1) - (-6)/1. Suppose 16 = -s + o*s. What is the units digit of s?
8
Let p(u) = -u**2 + 9*u - 10. Let o be p(7). Suppose 2*g = 2*k + 2*k - 6, k = -2*g + o. What is the units digit of 0 + k - 0/(-2)?
2
What is the tens digit of (-99)/(-27)*3*1?
1
Let l = -2 - -6. Let j = l + 2. What is the units digit of j?
6
Suppose -6*y = -3*y - 15. Let a = y + 2. What is the units digit of a?
7
Suppose -p + 17 = -3*b, 0*p - 5*p - 29 = 4*b. Let s = -10 - b. What is the units digit of (3/s)/(2/(-8))?
3
Let r be (34/(-10) + 3)*-10. Suppose r = y - 6. What is the tens digit of y?
1
Let u(t) = -t + 5. Let n be u(6). Let j be n*1*6/(-1). Suppose -k - j = -3*k. What is the units digit of k?
3
Let v = -3 - -1. Let f(n) = -7*n - 3. What is the units digit of f(v)?
1
Suppose -i = 2*i - 9. Suppose -2*p - p = -i. What is the units digit of (10 - 0)/(p - -1)?
5
Let v(s) = 4*s**2 - 2*s - 1. Let f be v(2). Suppose -26 = -x + 4*k - f, 0 = x + k. Suppose -10 = -2*g + j, -2*g - x*j + 6 = -4. What is the units digit of g?
5
Let l be 3/(-6)*(0 + 0). Suppose l*j - 4*j = -20. What is the units digit of j?
5
What is the units digit of 0 + 3 - -1 - 4*-15?
4
Let q be (0 - -5)*(-4)/(-5). Suppose -n = q*n - 125. What is the units digit of n?
5
What is the units digit of (2*-7)/(2/(-3))?
1
What is the tens digit of (10 + -4)*(-45)/(-6)?
4
Suppose 1 = -3*d + 4, -5*n = 4*d - 399. What is the units digit of n?
9
Let w(o) = -2*o**3 - 6*o**2 - 6*o - 6. What is the units digit of w(-5)?
4
Let z be (-10*2/4)/(-1). Suppose z = r - 1. Suppose -4*x = -r*x + 8. What is the units digit of x?
4
Let p(d) = -3*d - 2. Let u be p(3). Let j = u + 34. What is the units digit of j?
3
Let a = -31 - -30. Suppose -4*w - 4 = -0*w. What is the units digit of 3 - ((a - -2) + w)?
3
Let h(w) be the third derivative of w**6/120 - w**5/15 - 5*w**3/6 + 3*w**2. What is the tens digit of h(5)?
2
Let b = -20 + 40. Suppose 4*l + 5*v = b, -l = l + 5*v - 20. Suppose -3*k - 3*i = -6, k + 0*k + 2*i = l. What is the units digit of k?
4
Let l(v) = v**2 - v + 4. Let d be l(-3). Let t be (1 + -3)/(2/10). Let i = t + d. What is the units digit of i?
6
Suppose -2*t - 5*p = -6 - 21, -t - 5*p = -26. Let v be ((-117)/6)/(t/(-2)). Let x = v - 22. What is the units digit of x?
7
Let y(m) = m**2 - 4*m - 1. Let c be y(4). Let x = 3 + c. What is the units digit of x?
2
Suppose -474 = -4*v - 2*m, -v = 4*v + 3*m - 593. What is the hundreds digit of v?
1
Suppose 0 = 5*s - 2*u - 16 - 204, s = -u + 44. Suppose -3 + 0 = 3*p, 2*p - s = -2*n. What is the tens digit of n?
2
What is the units digit of -2 + (-16)/(-6) + (-84)/(-9)?
0
Let p(d) = 16*d - 21. Let f(i) = -3*i + 4. Let x(s) = 11*f(s) + 2*p(s). Let h(j) = j**2 - 7*j + 6. Let k be h(4). What is the units digit of x(k)?
8
Let y = 30 - -3. Suppose -4*q - 1 = -y. Let u = -2 + q. What is the units digit of u?
6
Suppose 5*n + 2*l + 0*l = 310, 217 = 3*n - 5*l. Suppose 0 = -4*f + 176 + n. Suppose -f = -5*z - 15. What is the units digit of z?
9
Suppose i = -4*i. Suppose i = z + 5*u, z - 5*u - 17 - 23 = 0. Let w = z + -10. What is the units digit of w?
0
Suppose 4*q + 6 = 2*f, -3*f + 2 = -2*q - 7. Let v = 28 + q. Suppose -v = -5*r + 17. What is the units digit of r?
9
Let f(j) = 3*j**2 - 14*j**3 - j**3 - 5*j**2 + j**2. What is the units digit of f(-1)?
4
Let z = -218 + 421. Suppose -2*m = 3*m + o - 262, 4*m = -3*o + z. What is the units digit of m?
3
Let m be (-5)/(50/(-84))*-5. What is the units digit of (-2)/5 - m/5?
8
Suppose -5*x + 83 = -402. What is the tens digit of x?
9
Suppose -3*u + 9 = -3*h, 17 = -4*h + u - 4