 Let g(k) be the second derivative of o(k). What is the units digit of g(4)?
3
Suppose -4*q = 4*h - 8, 0*h - 3*q - 42 = -5*h. Suppose -2*l + 0 = -h. Suppose -l*a = a - 16. What is the units digit of a?
4
Let s = -4 - -9. Suppose s*y = 4*j - 33, 9 = 3*y - 0*y. What is the tens digit of j?
1
Suppose -2*j - 5*z + 2 = -2, 4*z = 0. Suppose o - 9 = -2*s, 6 = j*s + 2*o + 2. Suppose 0 = -4*h + s + 21. What is the units digit of h?
7
Suppose 0 = 2*m + 13 + 3. Let f = -35 - -18. Let a = m - f. What is the units digit of a?
9
Suppose 2 - 7 = -c. Suppose 80 = 5*w + c*a, -a + 2*a = -4*w + 49. What is the units digit of w?
1
Let v(l) = l**2 - 24*l + 7. What is the hundreds digit of v(-7)?
2
Suppose 4 = -2*l + 3*f, 3*f = -2*l + f + 16. Suppose 46 - 18 = l*o. What is the units digit of o?
7
Let f(v) = -v + 5. Let l be f(5). Suppose l = g - 12 - 4. What is the units digit of g?
6
Let w(f) = f**2 + 5*f + 2. Let h(i) = 0*i + 4 - 5*i + 2*i. Let x be h(3). What is the units digit of w(x)?
2
What is the units digit of (-2)/4 - 290/(-20)?
4
Let l be 5/15 - 8/(-3). Suppose 5*n - 45 = l*b, 0*b - 2*n - 4 = b. Let p = 15 + b. What is the units digit of p?
5
Suppose -5*a + 2*x = -122, a + 5*x = -4*a + 150. What is the tens digit of a?
2
Suppose 2*l - 5*x + 6 = -2*x, 4 = 4*l - 2*x. Suppose -18 - 12 = -2*v - 5*t, 0 = -3*v + 3*t + l. What is the units digit of v?
5
Let n = -32 + 89. What is the tens digit of n?
5
Let a(x) = -5*x**2 + 7. Suppose -3*r - 5 - 1 = -3*m, 4*r + 11 = m. Let w(p) = p**2 - 1. Let y(s) = m*a(s) - 3*w(s). What is the units digit of y(3)?
4
Let i(h) = -47*h - 3. What is the tens digit of i(-2)?
9
Let n = 29 - 11. Suppose 0 - n = -2*y - 3*i, 2*i = y - 2. What is the units digit of y?
6
Let k(g) = -23*g**3 + g**2 - g + 2. What is the tens digit of k(-2)?
9
Let r(k) = -k**3 - 7*k**2 - 6*k + 3. Let s be r(-6). Let x = 43 - s. What is the tens digit of x?
4
Suppose 4*i = 5*k + 220, 0*i - 5*i + 275 = 4*k. What is the tens digit of i?
5
Let o(j) = -9*j - 2. Let h = -5 - 0. What is the units digit of o(h)?
3
Let i be 1*(4 + (-3)/(-3)). Let v = 16 - 3. Let g = i + v. What is the units digit of g?
8
Suppose 5*t + 2 + 3 = 0. Let d(z) = -16*z**3 + z**2 - z - 1. Let g be d(t). Suppose 2*q + 2*n = -3*q + 41, -n = 2*q - g. What is the units digit of q?
7
Suppose 0 = -3*m - 2*m + 20. Suppose m = -s + 5*s. What is the units digit of (-2 + s/2)*-6?
9
Let t(h) = h**2 + 2. Suppose 6*z - z = -15, 2*x - 4*z - 16 = 0. What is the units digit of t(x)?
6
Let a be 1/2 + (-730)/(-4). Suppose -5*r + a = -2*p, -4*r = 3*p - 71 - 57. Let l = r + -25. What is the tens digit of l?
1
Let n be -3 + (0 - -2) + 16. Suppose -3*i = -3*g - 4 - 5, n = 5*i - 2*g. Suppose i*o - 2*j - 24 = -2*o, 5*j - 45 = -5*o. What is the units digit of o?
6
Suppose 9 = -2*x + 4*j - 3, 3*j = 5*x - 5. Suppose 5 - 13 = -x*m. Suppose -m*q + 7 = -q. What is the units digit of q?
7
Let h = -29 - -50. Suppose h - 7 = z. What is the tens digit of z?
1
Suppose 3*z - 455 = 163. What is the tens digit of z?
0
Let r = -22 - -33. What is the tens digit of r?
1
Let m be -6 - (2 + -1 - 1). Let x(o) = o - 1. Let g(z) = z**3 + 6*z**2 + 2*z - 8. Let l(s) = -g(s) + 2*x(s). What is the units digit of l(m)?
6
Let f(z) = 4*z**3 - 7*z**2 - 9*z - 5. Let g(o) = 11*o**3 - 21*o**2 - 27*o - 14. Let b(y) = 8*f(y) - 3*g(y). What is the units digit of b(8)?
0
Let f(x) = x**3 + 5*x**2 + 2. Suppose 0*c + 18 = 2*c. Let s(a) = -2*a + 13. Let d be s(c). What is the units digit of f(d)?
2
Suppose -4*v = 5*j - v - 195, 0 = -5*j + v + 215. What is the units digit of j?
2
Let k = -2 + 4. Suppose 3*w - 4*b + b - 21 = 0, 20 = -5*b. Suppose w*y - 3*s - 36 = 0, k*y - 44 = 4*s - 12. What is the units digit of y?
8
Suppose 3 = a + 12. Let i = -3 - a. What is the units digit of i?
6
Suppose 1 = -5*q - 3*p + 4, 0 = -3*p - 12. Let b = q + -2. What is the units digit of b/((-10)/(-8) - 1)?
4
Let j be 5/(45/(-12))*-18. Suppose h = 5*b - 7 - 4, 0 = -b - 2*h + 11. What is the units digit of b/18 + 188/j?
8
Suppose 5*a + 5 = 35. Let n(k) = -9*k**3 - 6*k**2 + 6*k + 1. Let m(l) = 9*l**3 + 5*l**2 - 5*l - 1. Let x(t) = a*m(t) + 5*n(t). What is the units digit of x(1)?
8
Let x(q) = 8*q + 2. Let h be x(2). What is the units digit of (-2)/7 - h/(-14)?
1
Let q = 5 - 3. Suppose 0 = q*r + r - 6. What is the units digit of -1 + 1 + r + 0?
2
Let c be (-58)/(-6) - (-4)/(-6). What is the units digit of (1 + 1)/2*c?
9
Let v be ((-8)/6)/(4/(-6)). Suppose 0 = -u + 5*y - v*y + 13, -4*u + 3*y + 16 = 0. What is the units digit of u?
1
Let k = -6 + -28. Let b = -11 - k. What is the units digit of b?
3
Let q(j) = 3*j. Let h be q(8). What is the tens digit of (15/(-12))/((-1)/h)?
3
Let w(t) = -t**3 + t - 23. Let k be w(0). Let s = k - -16. What is the units digit of (-3 - s)*(-2 - -4)?
8
Suppose 3*p = -p - 4, -2*g - 16 = -4*p. What is the units digit of (-1)/2*460/g?
3
Let u = 1 - 0. Let d(i) = 2*i. Let j be d(u). Let t = -1 + j. What is the units digit of t?
1
Suppose -j - 19 = -5*m - 68, 0 = -4*j + 2*m + 106. What is the tens digit of j?
2
Let p be (-1 - 9/(-12))*-4. Let m(d) = d + 1 + 2*d**2 - 5*d + 2*d**3 + 2*d. What is the units digit of m(p)?
3
Let j(h) = -4*h - 3*h**2 - 17 + h**2 + 7 + 3*h**2. What is the tens digit of j(-4)?
2
Let h = -15 + 21. What is the units digit of h/(-27) - 227/(-9)?
5
Suppose 156 = -3*a + 5*a. What is the units digit of a?
8
Suppose 4*o = -0*o + 116. What is the tens digit of o?
2
Let h(a) = a**2 - 11*a + 11. Let i be h(9). Let b = i - -12. Suppose -6 = -3*z + 2*n - n, 10 = b*z + n. What is the units digit of z?
2
Let g(w) = 9*w - 3. Let n be g(3). Suppose -3*q - n - 3 = 0. Let d = q + 19. What is the units digit of d?
0
Suppose -4*s + 16 = -24. Suppose 0 = z - 4*u - s, -2*z - 4*u + 10 = -z. What is the units digit of z?
0
Suppose 0 = 4*j + 11 - 47. Let k(u) = u**2 - 9*u + 1. What is the units digit of k(j)?
1
Let o(c) be the first derivative of c**4/4 - 2*c**3 + c**2 - 5*c + 2. Let y be o(6). Let k = -6 + y. What is the units digit of k?
1
What is the units digit of (-1 + (-10)/(-6))/(32/3408)?
1
Let z(g) = -g**3 - g + 1. Let h be z(1). What is the units digit of (-406)/(-12) - h/6?
4
Let d(n) = -n**2 - 8*n - 8. Let u be d(-7). Suppose 9 = t - 2*y, 5*t - 7 = -y + 5. Let b = t - u. What is the units digit of b?
4
Suppose -62 = -3*m - 5. Let f = 47 - m. Suppose -i - 3*o + f = 0, i = 4*i - o - 34. What is the tens digit of i?
1
Suppose 3*u = 5*j - 204, u + 2 = 2*u. Suppose 5*i = -4*g + 18, i + 12 - 4 = 5*g. Suppose -c - g*c = -j. What is the units digit of c?
4
Let y = 18 + -5. Suppose c + y = 43. What is the tens digit of c?
3
Suppose -2*p - 9 = n, 5*n = -4*p - 7 - 32. Let l = 7 + n. Suppose -5*x + 19 + 1 = l. What is the units digit of x?
4
Suppose -4*p = -n - 686, 5*p - 491 - 373 = -2*n. Suppose -p = -5*k + k. What is the units digit of k?
3
Suppose -14 - 1 = -o. What is the tens digit of o?
1
What is the units digit of 1*-5*6/(-5)?
6
What is the units digit of (-198)/4*(-21 - -17)?
8
Let m(d) = -2*d**3 - 3*d**2 - 3*d - 1. What is the units digit of m(-5)?
9
Let h(p) = p**3 + 6*p**2 - 1. Let w be h(-6). Let c be (1 - 1)/(1*w). Suppose o + 5*y - 7 = 0, -4*o + y + y + 28 = c. What is the units digit of o?
7
Let q = -19 - -47. What is the tens digit of q?
2
Let x be 99/12 - 12/(-16). What is the tens digit of 243/x - (-2 - 2)?
3
Let r(z) = -2*z - 3. Let q be r(-3). Suppose 3 = -q*j - 3. What is the tens digit of (-34)/(-3) - j/(-6)?
1
What is the units digit of 6/(-3) - -2 - 110*-1?
0
Let d = -99 + 184. What is the tens digit of d?
8
Suppose 213 = 5*m - 3*h, 0 = 3*m - h + 2*h - 139. What is the tens digit of m?
4
Let j = 4 + 1. Let r(q) = -j + 4*q + 2 + 5 - 2*q. What is the tens digit of r(5)?
1
Let j = 27 + -10. Let z = j - 11. Let b = -3 + z. What is the units digit of b?
3
Let p = 8 - 6. Suppose 0 = 5*m + p*o - 10, 0 = 4*m - 5*o - 15 + 7. What is the units digit of m?
2
Suppose 0 = -a + 4, 0*q - 22 = q - 4*a. What is the units digit of ((-69)/q)/((-4)/(-8))?
3
Suppose -13 = -4*l + 51. What is the tens digit of l?
1
Let l = -23 + 44. What is the units digit of l?
1
Suppose -4*d + 332 = 5*s, d - 7*s + 2*s - 58 = 0. Let j = -55 + d. Suppose 6*o + 15 = o, -j = -2*n + o. What is the tens digit of n?
1
Suppose 2*c - 3*p + 5 = 0, 5*c + 5*p = -0*c. What i