d) = d + 2. Let o be b(3). Let h(i) = i**3 - 4*i**2 - 2*i - 3. What is the units digit of h(o)?
2
Let s(f) be the third derivative of 2*f**2 + 0 + 7/6*f**3 + 7/60*f**5 + 0*f - 7/24*f**4 - 1/120*f**6. What is the units digit of s(6)?
1
Suppose -f = -2*f + 5*y + 31, -21 = -3*f - 3*y. Suppose -4*c = 5*w - f - 144, 0 = -2*c + w + 81. What is the units digit of c?
0
Let c(y) = 4*y - 13. Let n(q) = -2*q + 6. Let l(f) = 3*c(f) + 5*n(f). What is the units digit of l(6)?
3
Suppose -5*b + 12 + 13 = 0. Suppose -4*i = -b*i + 20. Let v = 28 - i. What is the units digit of v?
8
Let n be 1/(-4) + 45/20. Let h be -1 - (-1 + 0)*n. Let l = h + 0. What is the units digit of l?
1
Suppose 10*g - 668 = 6*g. What is the hundreds digit of g?
1
Suppose -18 - 9 = -i. Suppose -i = -4*g + 45. What is the tens digit of g?
1
Suppose 76 = u - 44. What is the units digit of u?
0
Suppose 0 = -4*p + 4 + 8. Suppose -2*w + 7 = p. Suppose -6 = -3*q - 4*g + 3*g, -4*q = -w*g + 2. What is the units digit of q?
1
Let c(o) = 0 - o + o**3 + 1 + 0*o**2 + 2*o**2. Let z be c(-2). Let w(m) = 2*m + 1. What is the units digit of w(z)?
7
What is the units digit of (-828)/(-27) - 2/3?
0
Let b be (2 - 0) + 0 - 0. Suppose 2*f = -b*f + 44. What is the tens digit of f?
1
What is the tens digit of (-24)/(-20)*20*1?
2
Suppose -6 = -3*r + 9. Suppose 8 = r*f - 12. What is the units digit of f?
4
Let z be (-6)/(-21) - (-10)/14. What is the units digit of (z - (3 - 0)) + 7?
5
What is the tens digit of -2*1/2*-32?
3
Let g = -6 - -9. Suppose -63 = -g*t + 21. What is the tens digit of t?
2
Suppose -44 = -3*l + 40. Suppose 3*m + q = 42, -m = 2*q + 3*q - l. What is the units digit of m?
3
Suppose -5*u - 89 = -4*k - 7, 44 = -2*u - 4*k. Let i be (-284)/u + 6/27. What is the units digit of i - (3 - (2 - 1))?
4
Suppose 0*d = 3*d. What is the units digit of (d - 30)*(-4)/10?
2
Let j(n) = -2*n. Let l be j(-1). Let w be 1*4 + (-3 - -2). Suppose w*m - l*m + 3*r = 0, 0 = 5*r + 10. What is the units digit of m?
6
Let t = -1 + 5. Suppose 0 = -t*i + 7 + 5. What is the units digit of i?
3
Suppose -32 = -w - 5*x, -5 = 5*x - 10*x. Suppose -3 = 2*n - w. What is the tens digit of n?
1
Suppose 178 = 4*g - 14. Suppose 2*t + 2*t - g = 0. What is the units digit of t?
2
Let x = 1 - -2. Suppose 50 = x*t + 2. What is the tens digit of t?
1
Suppose 0 = -w + 5 + 17. Let o be 2/(-1) - (5 - -4). Let g = o + w. What is the units digit of g?
1
What is the units digit of -7*(-6 + 2 + 1)?
1
Let d be 2 + -2 - 0/2. Suppose -h - 2*h + 69 = d. Suppose 0 = -5*a - 5*q + 55, 4*a - a - h = -q. What is the units digit of a?
6
Let y(d) = -d**3 - 8*d**2 - 8*d - 16. Let c(f) = -f**3 - 8*f**2 - 8*f - 17. Let z(i) = 6*c(i) - 7*y(i). Let l = 52 + -59. What is the units digit of z(l)?
3
Let m = 46 + -62. Let a(k) = 7*k**2 + 4*k + 2. Let b be a(-2). Let r = b + m. What is the units digit of r?
6
Let y(g) = 5*g**2 - 7*g + 4. What is the units digit of y(3)?
8
Let c(n) = 2*n**2 + 11*n + 1. Let u(x) = 4*x**2 + 21*x + 1. Let v(i) = -11*c(i) + 6*u(i). What is the tens digit of v(-5)?
2
Let g = 18 + 2. Suppose -48 = 18*z - g*z. What is the tens digit of z?
2
Suppose -5*r + 0*r - 2*w = -68, -w + 69 = 5*r. What is the tens digit of r?
1
Let s(p) = 7*p + 9. Let x(f) = 2*f + 27 + 12*f + 6*f. Let u(v) = -17*s(v) + 6*x(v). What is the units digit of u(-8)?
1
Let p = -4 + 4. Let j be (-4 + p)/((-12)/(-18)). What is the units digit of 9/j + 5/2?
1
Let n be (2/(-3))/((-4)/30). Let b(d) = 4 - d - 3 + 2*d. What is the units digit of b(n)?
6
Let s(x) = x**3 + 10*x**2 + 8*x - 2. Let d be s(-9). Let y = -2 + d. Suppose -y*u = 2*n - 26, -2*n - 22 = -4*u + u. What is the units digit of u?
6
Suppose 3*y = -1 + 28. Let v(d) = 26*d**2 - d. Let a be v(1). Let r = a - y. What is the units digit of r?
6
Let y be 74/(-5) - 1/5. Let i = -9 - y. What is the units digit of i?
6
Let m(v) = 26*v**3 + v - 1. What is the units digit of m(1)?
6
Let d(v) = -4*v + 7*v + 2 - 4*v. What is the units digit of d(0)?
2
What is the units digit of (438/(-9) + 3)*-3?
7
Suppose 2*o + 3 = -3*l - o, 0 = -2*l + 4*o + 28. Let g = l + -1. Suppose -8*s = -g*s - 15. What is the units digit of s?
3
Let a(q) = 3*q - 2. Let m be 374/55 - 2/(-10). What is the tens digit of a(m)?
1
Suppose -9*h + 8*h + 42 = 0. What is the units digit of h?
2
Let b = 13 - -9. What is the tens digit of b?
2
Suppose 0*j = 2*j. Suppose 2*c + 21 = -j*c - 5*t, 4*c - 4*t = 28. What is the units digit of c?
2
Let k be (-185)/(-30) - (-1)/(-6). Suppose -k*z + 2*d = -z - 152, -4*z - d = -119. What is the tens digit of z?
3
Let a(g) = -g + 355. What is the units digit of a(0)?
5
What is the hundreds digit of 10*34 - (-7 + 4 + 6)?
3
Let d be 2*(-3)/(-2)*-6. Let j be ((-4)/6)/((-4)/d). Let w = j + 6. What is the units digit of w?
3
What is the tens digit of (-441)/(-27) + (-2)/(-3)?
1
Let q = -7 - -11. Suppose 2*o + 2*v + 14 = 3*o, q*o - 5*v - 71 = 0. What is the units digit of o?
4
Suppose -3*h = 110 - 380. What is the units digit of h?
0
Let h = 24 + 41. Suppose 2*l + 4*d - h = 5*l, -100 = 5*l - 5*d. Let b = l - -27. What is the units digit of b?
2
Let v = 34 - 8. What is the units digit of v?
6
Suppose 0 = -3*d - 5*k + 18, -3*d + k + 30 = 2*k. Let l = 12 - d. What is the units digit of l?
1
Let i be (63/4)/((-3)/(-16)). Suppose -2*b - b = -i. What is the tens digit of b?
2
Suppose -d + 3*d = 0. Suppose d = 5*l - l - 4. What is the units digit of 1 + 2 - l - -1?
3
What is the units digit of (-9)/6*1/(1/(-58))?
7
Suppose -z - 21 = -4*z. Let b = z - 2. What is the units digit of -1 + b - (-3 + 2)?
5
Suppose -7 = -4*f + g + 8, 3 = f - g. Suppose f*m + 2*s - 22 = 0, 0 = 5*m - 0*s - s - 31. What is the units digit of m?
6
Suppose -z + 3*z - 10 = 0. Suppose z*m - 47 = 188. Suppose 10 = 5*g, j - 4*g = -4*j + m. What is the units digit of j?
1
Suppose -59 = q - 2*q. What is the units digit of q?
9
Let c(b) = 10*b - 64. What is the hundreds digit of c(29)?
2
Let a = -5 - -10. Suppose -a*q + 45 = 5*k, 3*k - 3*q = 12 + 3. What is the units digit of k?
7
Suppose -4*o - 288 = -2*v, -3*v + 10 = 5*o - 477. What is the units digit of v?
4
Suppose 0 = -6*p + 4*p + 180. What is the units digit of p?
0
Let d(p) = -p**3 - 5*p**2 - p - 3. Let r be d(-5). Suppose 0 = -u + r. Let v = 4 - u. What is the units digit of v?
2
Let o(u) be the first derivative of u**4/4 - u**2/2 + 10*u + 2. Let i be o(0). Suppose -3*p + 25 = 4*x + x, 0 = -5*x + 4*p - i. What is the units digit of x?
2
Let l = 137 + -77. What is the tens digit of l?
6
Let r(g) = g**2 + 5*g + 4. Let i be r(-5). Let z be 6*((-26)/i + 1). What is the units digit of (8/(-6) - -1)*z?
1
Let s(o) = -o**2 + 10*o + 1. Let j(l) = l**3 - l**2 - 4*l + 4. Let a be j(3). What is the units digit of s(a)?
1
Let l = -43 - -121. What is the units digit of l?
8
Suppose m + 0*m = b - 146, b + 2*m = 131. What is the units digit of b?
1
Let d(m) = -7*m**2 + 7*m + 10. Let s be (-23)/4 + 1/(-4). Let w(g) = 13*g**2 - 13*g - 19. Let o(c) = s*w(c) - 11*d(c). What is the units digit of o(0)?
4
Let a(b) = b**2 - 11*b + 11. Let x be a(8). Let u = 22 + x. What is the units digit of u?
9
Let g = -2 + 4. Suppose 0*w + 21 = 3*w. Suppose 5*f + g - w = 0. What is the units digit of f?
1
Let i = 8 + 1. Suppose -2*g - 3*k = 5, 3*k + 14 = g - 6. Let d = i - g. What is the units digit of d?
4
Suppose 2*w - 3 = 3. Suppose w*r + 0*r = 21. What is the units digit of r?
7
Suppose -284 + 704 = 5*b. What is the units digit of 276/b - 4/14?
3
What is the tens digit of -1 + 0 + (25 - 10)?
1
Let j(b) = -7*b**3 - b**2 - 17*b - 12. Let x(w) = -3*w**3 - 8*w - 6. Let c(s) = -4*j(s) + 9*x(s). What is the units digit of c(-4)?
0
Let f = -11 + 9. Let t(g) = -g + 2. Let y be t(f). Let r = y - -5. What is the units digit of r?
9
Let p(r) = -r**3 - 6*r**2 + r + 4. What is the tens digit of p(-7)?
4
Suppose 4*z - c = 29, -1 = -2*z - 0*z + 5*c. What is the units digit of (-37)/(-2) + 4/z?
9
Let u(d) = d**3 - 6*d**2 - 7*d + 2. Let o be u(7). Suppose -1 = -o*s + 3. Suppose s*l - 7 - 1 = 0. What is the units digit of l?
4
Let f(n) be the second derivative of -n**4/4 - n**2/2 + n. Let q be f(1). What is the units digit of q/14 + (-27)/(-21)?
1
Suppose 0 = -4*n + p + 484, 0*n + 3*p - 363 = -3*n. What is the hundreds digit of n?
1
Let x be -1 - (0 + -1 - 1). Let c(q