s the units digit of k?
3
Let c(n) be the third derivative of n**5/60 - n**4/8 + n**3/3 + 2*n**2. Let y be c(8). Suppose 118 = 4*w + y. What is the units digit of w?
9
Let n be (-2)/6 + (-124)/(-12). What is the tens digit of (-4)/n - 67/(-5)?
1
Let o(n) = -5*n - 1. Let i be o(-1). Let v be i + -2 - 9/1. Let m = v - -11. What is the units digit of m?
4
Let y(z) = -z - 1. Let i(j) = -4*j. Let a(l) = -i(l) + 6*y(l). Let n be a(-4). Suppose -12 = -b - n*w, 2*b + 3*w - 4*w - 9 = 0. What is the units digit of b?
6
Let w = 27 + -16. Suppose 2*x - 13 = -g + w, -4*x = -2*g + 32. What is the units digit of g?
0
Let l be (-4)/(-6) - (-4)/(-6). Suppose 2*j + l - 22 = 0. What is the units digit of j?
1
Let m = 45 + -12. What is the tens digit of m?
3
Let k be (-8)/28 + (-506)/(-7). Suppose -4*r = 3*z - 106, -2*z + k = -3*r + 7. Suppose z - 2 = 4*b. What is the units digit of b?
8
Let i be (-6)/(-4)*8/2. Suppose -z = z - i. Suppose 2 = 5*t - z. What is the units digit of t?
1
Let c = -19 + 23. What is the units digit of c?
4
Let f(w) be the third derivative of -w**5/60 + 11*w**4/24 - 5*w**3/3 - 7*w**2. What is the tens digit of f(8)?
1
Let p = 0 + 6. Let f be (76/p)/(2/3). Let k = 34 - f. What is the units digit of k?
5
Let t = 159 + -27. What is the tens digit of t?
3
Let g(s) = -2*s - s + s**2 + 0*s - 8 - s. What is the units digit of g(6)?
4
Suppose 4*j = 2*f + 632, -262 - 54 = -2*j + 4*f. What is the hundreds digit of j?
1
Let t be -6*3/(-6) - -42. Let i = t + -30. Suppose -y = -i + 3. What is the units digit of y?
2
Suppose -35*l + 1809 = -26*l. What is the tens digit of l?
0
Let f(i) = -i + 11. What is the units digit of f(5)?
6
Let x(m) = -m**3 - 15*m**2 - 16*m + 9. What is the units digit of x(-14)?
7
Suppose a = 5*a. Suppose -2*o - 33 - 7 = a. What is the units digit of o/(-16) + (-2)/8?
1
Suppose -4*n - 7 = -v, -4*v + n - 3*n = -10. What is the units digit of 16 + 8/12*v?
8
Let a be -1*((3 - 2) + 0). What is the tens digit of a/(((-16)/(-172))/(-4))?
4
Let o = 25 + 5. What is the units digit of (10/o)/(2/186)?
1
Let u(t) = 3*t - 1. Let h be u(4). Let a be 0 - 3/((-3)/h). Suppose -k + 5*o + 7 = -a, -3*o - 46 = -5*k. What is the units digit of k?
8
Suppose 5*x = -5*c + 85, -2*x = -0*x - 5*c - 62. What is the tens digit of x?
2
What is the tens digit of 1/(14/8) - 3688/(-14)?
6
Let l = -41 + 183. Suppose 6*t + l = 430. What is the tens digit of t?
4
Let m = -5 - -2. What is the tens digit of (-1)/(1/138*m)?
4
Let d(k) = 4*k - 6. What is the units digit of d(6)?
8
Let u(w) = w**3 + 3*w**2 + 4. Let f be u(-3). Suppose i = -f*q - 14, 0*q + 28 = 3*i - 2*q. Suppose i*v - 42 = 3*v. What is the tens digit of v?
1
Let u(f) = -f**2 - 8*f - 5. Suppose -2*l = l + 15. What is the tens digit of u(l)?
1
Let c be (-8)/(-20) + (-124)/10. What is the units digit of (c/16)/((-1)/8)?
6
Suppose -5*y = -2*z - 3*z + 10, -8 = -2*y - z. What is the units digit of y?
2
Let q(s) = s**2 - s**3 + s**2 + 26*s**3 - s. What is the units digit of q(1)?
6
Suppose 3*g + 4*t - 67 = 2*g, -2*t + 171 = 3*g. Suppose -7*y + 2*y = -h - g, -2*y + 44 = 4*h. What is the units digit of y?
2
Let u(z) = -z**3 - 7*z**2 + 7*z + 9. What is the units digit of u(-9)?
8
Let a = 12 + -11. What is the units digit of (15 - 12) + 5 + a?
9
Suppose 0 = 5*u + 75 - 305. What is the units digit of u?
6
Let m = -1 - 5. Let x(d) be the third derivative of d**5/60 + d**4/8 - 2*d**3/3 + d**2. What is the tens digit of x(m)?
1
Suppose -6*m + 424 = -4*m - 4*k, -4*m = 4*k - 908. What is the tens digit of m?
2
Suppose -193 = -l + 3*n - 7*n, 5*l - 1037 = -2*n. What is the hundreds digit of l?
2
Suppose -3*x + 4*x + 11 = 0. Let p = 17 + x. Let r = p + -2. What is the units digit of r?
4
Suppose 0 = q - 3*m - 26, 0*q + 2*q - 49 = 5*m. Let l = q + -5. What is the tens digit of l?
1
Suppose -q - 1 + 3 = 0. Let u be (0 + q)/(-2) - -26. Suppose u = 3*p + 1. What is the units digit of p?
8
Let p be -2*3*(-2)/6. Suppose 5*d - 2*v = -6*v + 115, p*v = 0. What is the units digit of d?
3
What is the units digit of 0 - (0 - 1/((-4)/(-36)))?
9
Let v = 125 - -6. What is the units digit of v?
1
Let r(g) = 5*g**3 + 2*g**2 - 2*g + 1. Let s = 17 - 12. Suppose z = s*z - 4. What is the units digit of r(z)?
6
Let x(k) = k**3 + 6*k**2 + 5*k + 4. Let m be x(-5). What is the units digit of 1/m + 70/8?
9
Suppose -5*h + 18 = -2, 5*h - 47 = 3*p. Let l = -25 + 40. Let m = l + p. What is the units digit of m?
6
Suppose 2*m = 5*n + m - 570, -342 = -3*n + 4*m. What is the hundreds digit of n?
1
Let k(b) = b**3 - 4*b**2 + 3*b + 4. Suppose -5*a + 8 = -7. Suppose -6*n + 24 = 4*l - 2*n, l - 12 = -a*n. What is the units digit of k(l)?
4
Let q be 192/18*3/2. Suppose q = -5*t + 151. What is the units digit of t?
7
Suppose -o + 5*o - 4*z - 4 = 0, -4*o = -z - 16. Let w(d) = -d + 8. What is the units digit of w(o)?
3
Suppose 4*t = -3*i + 142, 4*t - t - 222 = -5*i. What is the tens digit of i?
4
Let p(o) = 4*o**2 - 2*o - 1. Let n be p(4). Suppose 6*y - y = n. What is the tens digit of y?
1
Suppose 1 = -4*t + 17. Suppose 7*p = 3*p + 2*n + 22, 0 = t*p - n - 17. What is the units digit of p?
3
Suppose -3*n - 4 = -2*v - 2*v, -5*v - 2*n = -28. Let y = -1 + v. What is the units digit of y?
3
Let r = -20 - -42. What is the tens digit of r?
2
Let c(w) = -7*w - 2. What is the units digit of c(-6)?
0
Let t(v) = -v**2 + 15*v + 19. What is the units digit of t(13)?
5
Suppose 0*b + b = -3. Let u = b - -13. Let i = -1 + u. What is the units digit of i?
9
Let u = -1 - 0. Let k be (3 - -2)/((-1)/u). Suppose k*j - 15 = -0*j. What is the units digit of j?
3
What is the tens digit of (5/6)/(6/36)*41?
0
Suppose -2*u + 38 = -162. Suppose 0 = 4*c - u - 8. What is the tens digit of c?
2
Let o be (3 + -8)*(-12)/15. Suppose 2*j + 2*j + 20 = 0, -98 = -o*g - 2*j. What is the tens digit of g?
2
Let i(n) = n - 5. Let m be i(4). Let b(j) = -23*j**3 + j**2 + 2*j + 1. Let p be b(m). Let a = p - 14. What is the units digit of a?
9
Let c = 14 + 52. What is the tens digit of c?
6
Let t(i) = -i**3 + 2 + 0*i + 4*i - 3*i - 2*i**2 + i**2. What is the units digit of t(-2)?
4
Let f(a) = -3*a + 5. What is the units digit of f(-3)?
4
Suppose -4*z + 8 = -0*z. Suppose -5*x + 25 = 0, p + 4*x = -z*p + 137. What is the tens digit of p?
3
Suppose -3*z + 4 = 2*z - 3*a, 4*z - 6 = a. What is the units digit of ((-1)/z)/(2/(-12))?
3
Suppose -4*f - 4 = 0, 37 = -0*p + 2*p - 3*f. Suppose -5*b - 3*i - 27 = 0, 3*b - i + 2 = -p. Let c = 14 + b. What is the units digit of c?
8
Let k = 39 + -21. What is the tens digit of k?
1
Suppose u - 11 = -3*o + 8*o, u - 3*o - 1 = 0. Let w = u + 35. What is the units digit of w?
1
What is the units digit of 340/(-6)*(-8 + 84/15)?
6
Let p(r) = r**2 - 5*r + 1. What is the tens digit of p(-5)?
5
Let r be (-44)/(-6) - 8/(-12). Suppose t - r = -t. Suppose 3*i = -2*d + 8, 2*i - 2 = t*i + 5*d. What is the units digit of i?
4
Suppose -m + 18 = 2*m. Suppose -b = -m*b. Suppose l = -3*q + 13, -2 = -b*l - 2*l. What is the units digit of q?
4
Let h = 5 + -1. Suppose -12 = -h*v - 0*v. Suppose 4*u + 3*p - 17 = 2*u, -v*u - p = -8. What is the units digit of u?
1
Suppose 4*x + v = 795, x - 783 = -3*x + 3*v. What is the units digit of x?
8
Suppose -4*n = -2*n - 10. Suppose 0 = -n*y - 5, 5*v + 6*y = y + 145. What is the tens digit of v?
3
Let o(x) = x**3 - x**2 + 1. Let l be o(2). Let q be (-2)/l - (-3)/(-5). What is the units digit of (-11)/(-3) + q/(-3)?
4
Suppose -5*c + 5*k = -3*c + 1, 5*c - 2*k = -34. Let n = 8 - c. What is the units digit of n?
6
Suppose 3*o + 35 = 2*k + 3*k, k + 5*o - 35 = 0. Suppose g = 3*y + k, -5*y + 5*g = -0*y + 30. What is the units digit of y*9*(-4)/8?
9
Suppose -13*l + 2127 = 86. What is the units digit of l?
7
Let l(u) be the third derivative of u**7/2520 + u**5/12 + u**4/24 + u**2. Let j(s) be the second derivative of l(s). What is the tens digit of j(0)?
1
Let y be (-10)/(-6)*3/1. What is the units digit of (-10)/(-4)*16/y?
8
Let j = -115 + 60. Let d = j + 77. What is the tens digit of d?
2
Let d = -34 - -35. What is the units digit of d?
1
Let w = 142 - 42. What is the tens digit of w?
0
Suppose -9*n - 795 = -3*u - 6*n, -5*n = -3*u + 789. What is the units digit of u?
8
Suppose -3*a + a = 4*k - 162, 0 = -2*k + 4*a + 86. Let r = k + -15. What is the units digit of 