8. Suppose -n - 15 = 4*n - 5*j, -2*n - 4*j = 24. What is the tens digit of a(n)?
3
Let u(w) = -w**2 + 3*w + 1. Let i(h) = -2*h - 2. Let l be i(-3). Let m be u(l). What is the units digit of 4 + m/((-6)/2)?
5
Let j be 9/(-3) - -4 - 3. Let f = j - -25. What is the units digit of f?
3
Let x = 10 - 7. Suppose -2*d = x*d - 20. What is the units digit of d?
4
Let f(a) = -a**2 + a + 7. Let v be f(0). Suppose 2*t + v = 27. What is the tens digit of t?
1
Let l be (8 - 1)*(0 + -2)/(-2). Let v be 10/1 + 1 + 0. Let c = v - l. What is the units digit of c?
4
Suppose -c + 2*c - u = 44, -4*c - 5*u + 176 = 0. What is the tens digit of c?
4
Let n be 3/(-2)*6/9. Let p be (-1 - n)/((-2)/1). Suppose 20 = g - 2*v, 3*g - v - 3*v - 50 = p. What is the tens digit of g?
1
Suppose -5*l = -4*l - 3. Suppose -4*f + 3*m = -65, m = l*m + 6. What is the tens digit of f?
1
Let p(v) = -3*v + 4. What is the units digit of p(-13)?
3
Let w = 7 - 8. What is the units digit of (-3 - (-7 - w)) + 1?
4
Let b(s) be the second derivative of -s**3/6 - 7*s**2/2 - s. What is the units digit of b(-9)?
2
Let o(u) = -u**3 - 11*u**2 - 10*u + 9. Let y be o(-10). What is the tens digit of 3/(0 + y)*69?
2
Let q be -4 - -1 - (0 + 0). What is the units digit of (q/(-3)*70)/2?
5
What is the tens digit of (-3)/(-6)*50 - -1?
2
Suppose 2*c + 121 - 873 = 0. What is the tens digit of c?
7
Let n(f) = -f**2 - 12*f + 3. Let i(z) = -z - 4. Let l be i(8). What is the units digit of n(l)?
3
Let l be (-3 + 1 - -2) + 2. Suppose l*n - 17 = -7. Suppose 4*b + 9 = n*b. What is the units digit of b?
9
Suppose 0 = -4*j - 0*j + 3*i, j = 2*i + 5. Let q = 15 + j. What is the units digit of 2/((q/(-26))/(-3))?
3
Suppose 4*k - a - 47 = 0, -4*a - 8 = 5*k - 93. What is the tens digit of k?
1
Let s = -47 - -284. What is the tens digit of s?
3
Let m(z) = -2*z + 5. Let t be m(4). Let y = t + 3. Suppose 20 = 2*n - y*n. What is the tens digit of n?
1
Let j(d) be the second derivative of d**4/6 + 4*d**3/3 - 2*d**2 - 5*d. What is the tens digit of j(-6)?
2
Let h(o) = -o**3 - 5*o**2 - 3*o - 6. Let q(d) = -d**3 - 5*d**2 - 3*d - 7. Let t(i) = 3*h(i) - 2*q(i). What is the units digit of t(-5)?
1
Let w(v) be the second derivative of -v**7/120 - v**6/360 - v**3/3 - v. Let h(c) be the second derivative of w(c). What is the units digit of h(-1)?
6
Suppose -3*z = -4*z + 2. Let f = z - 2. Suppose -d - d + 2 = f. What is the units digit of d?
1
Suppose 4*k - 16 + 68 = 0. Let c = k - -18. Suppose -34 - 6 = -c*s. What is the units digit of s?
8
Let p(s) = 63*s - 2. Let z be p(5). Suppose 5*v - 87 = z. Suppose 4*a = a, a - v = -5*y. What is the units digit of y?
6
Let q be (-1*4 - 0)/1. Let n = q + 7. Suppose n*d = -d + 28. What is the units digit of d?
7
Suppose 5*r + 4*t - 231 = 0, -4*r + 3*t + 100 + 60 = 0. What is the tens digit of r?
4
Let l(d) = d**3 + 8*d**2 + 11. What is the units digit of l(-6)?
3
Let r(w) = w + 8. What is the tens digit of r(5)?
1
Suppose q + 0*l - 3 = 3*l, 0 = -l - 1. What is the units digit of 10 + -6 - (-2 - q)?
6
Let c(g) be the first derivative of g**5/60 + g**3/6 + g**2/2 - 1. Let n(u) be the second derivative of c(u). What is the units digit of n(0)?
1
Suppose -d + 87 = 5*a, -3 + 7 = 4*a. Suppose 5*t + z - 3*z = -136, z = 3*t + d. Let c = t + 48. What is the tens digit of c?
2
Let m = 95 + -68. What is the tens digit of m?
2
Suppose 4 = l + l. Let z be (-2)/(((-4)/10)/2). What is the units digit of l/10 - (-68)/z?
7
Suppose 338 = 4*s + 2*h, 4*s - 7*h = -3*h + 332. What is the units digit of s?
4
Let v(a) be the second derivative of a**4/12 + a**3/6 - a**2 + 3*a. What is the units digit of v(-4)?
0
Let p be 25/9 - (-2)/9. Suppose -83 = -4*z + 5*a, 5 = p*a + 2*a. Let b = -13 + z. What is the units digit of b?
9
Let p be (1 - 10/6)*3. Let d = p - -2. Suppose d = 6*t - t - 75. What is the tens digit of t?
1
Let g = -9 - -15. Let n be 138/9 - 2/g. Suppose 0 = 2*d - 5*d + n. What is the units digit of d?
5
What is the tens digit of (-2)/4 + 249/18*3?
4
Suppose -3*j = 9 - 42. What is the tens digit of j?
1
What is the units digit of 1742/18 - (2/(-9) - 0)?
7
Let u be 1/(-8) + (-34)/(-16). Let b(w) = 25*w + 2. What is the tens digit of b(u)?
5
Let y be 6*1/2 - 3. Suppose -158 = -4*k - 5*i, y*i - 4*i = k - 34. What is the units digit of k?
2
What is the tens digit of -42*(15/(-5))/9?
1
Suppose 4 = -2*z - 2. Let b be (-1)/4 - (-9)/4. What is the units digit of 21/9 - b/z?
3
Let w = 499 - 337. What is the hundreds digit of w?
1
Let n be (-4)/14 + 312/14. Suppose -1 = -4*z - 0*k + 3*k, -2*k = 3*z - n. What is the units digit of z?
4
Let p(a) = 0*a**3 - 2*a + 7*a**3 - 8*a**2 + 6*a. Let h(j) = -3*j**3 + 4*j**2 - 2*j. Let d(o) = 5*h(o) + 2*p(o). What is the units digit of d(3)?
3
Suppose 0 = 5*a - 4 - 1. Let u = a - -2. What is the units digit of u?
3
Let z be (-718)/(-3) + (-12)/(-18). Let j be (-2)/13 + z/39. Suppose 5*q - j = 2*q, w + 3*q = 17. What is the tens digit of w?
1
Suppose 4*w - w = 66. Let v be ((-9)/6)/((-1)/w). Suppose 2 = 5*s - v. What is the units digit of s?
7
Suppose 0 = -2*y + 3 + 3. Suppose g + 0 = 1, -2*p + 4*g + 6 = 0. Suppose -y*h + 26 = p. What is the units digit of h?
7
Suppose -3*n = -z - 13, 2*n = -z + 2*z + 7. Suppose -2*t + 28 = -n. What is the tens digit of t?
1
Let b(r) = 2*r + 1 - 3*r + 3*r. Let u be (4 + 1)/((-1)/(-1)). What is the tens digit of b(u)?
1
Let a = -7 - -12. Let w(q) = 4*q - 1. What is the tens digit of w(a)?
1
Let l be (-1)/(-2) - 17/2. Let v = l + 21. What is the tens digit of v?
1
Let t(b) = -b**2 + 9*b - 7. Let f be t(9). Let s = f - -19. What is the tens digit of s?
1
Suppose x + 63 = 4*x. Let d be -2*5 + (0 - 0). Let l = x + d. What is the tens digit of l?
1
Let i be ((-4)/(-10))/((-2)/(-10)). Let b(a) = a**i - 3*a - 5 - 2 + 10*a. What is the units digit of b(-8)?
1
Let h(k) = 7*k**2 + 0*k**3 - 1 + 9*k - k**3 - 3. Let s be h(8). Suppose -5*f = -s*q - 3*f + 30, 5*q = 5*f + 45. What is the units digit of q?
6
Let j(v) = 8*v**2 + 8*v + 35. What is the units digit of j(-6)?
5
Let b(r) = r**2 + 18*r - 13. What is the units digit of b(-19)?
6
Suppose a - 54 = 3*a. Let b = a + 50. What is the tens digit of b?
2
Let h = -21 - -37. Let g be (-2)/7 + h/7. What is the tens digit of ((-11)/g)/(1/(-2))?
1
Let x(m) = -m - 6. Let d be x(-10). Suppose d*u - 11 = 121. What is the units digit of u?
3
Let j(t) = -t**2 - 7*t - 3. Let h be j(-5). Let s(b) = b - 1. Let u be s(h). Let g = u + 4. What is the tens digit of g?
1
Let v(g) = -g**3 + 2*g**2 + 3*g - 1. Let m be v(2). Suppose 0 = 4*f + k - 69, m*f - 8 = -k + 78. What is the units digit of f?
7
Suppose 0*w + 4*w + 8 = 0. What is the units digit of 3 - 1 - (-2 + w)?
6
Suppose 2*u - 8*u + 30 = 0. Let j(r) = 4*r - 12. What is the units digit of j(u)?
8
Suppose 238 + 202 = 4*s. What is the hundreds digit of s?
1
Let a(q) = q**3 + 5*q**2 - 4*q - 4. Let f be a(-5). Let r = -2 + f. What is the tens digit of r?
1
Suppose -6*i = -8*i + 2. Let d(u) = 33*u + 2. What is the units digit of d(i)?
5
Let m(k) = -4*k**2 - 6*k - 1. Let r(s) = -s**2. Let z(p) = m(p) - 3*r(p). Let t = 1 + -6. What is the units digit of z(t)?
4
Suppose 4*k - 15 = -k. Suppose -3*o + 9 = 3*w - 5*w, 0 = 4*o - k*w - 12. Suppose o*l + 12 = 48. What is the tens digit of l?
1
Suppose -f + 3 = -7. What is the tens digit of f?
1
Let x(l) = 2*l + 47. Let b be x(0). Suppose o = -10 + b. What is the units digit of o?
7
Let r = -56 - -100. What is the units digit of r?
4
Let b(y) be the third derivative of y**6/120 + y**5/15 - y**4/4 - 5*y**3/6 - y**2. Let k be b(-6). What is the tens digit of k/(-4) + 2/(-8)?
1
Suppose -4*u + 807 - 255 = 0. Suppose 2*c + u = 5*c. What is the tens digit of c?
4
Suppose 0 = 8*h - h - 546. What is the tens digit of h?
7
What is the units digit of 137 + (-10)/(-2) + -3?
9
Let p be -1 + (2 - (-3 - -2)). Suppose p*f = f. Suppose f*z - 1 = q - 3*z, 0 = -2*z + 4. What is the units digit of q?
5
Let x be ((-2)/6)/(5/(-15)). Let l = -3 + x. Let s = 6 + l. What is the units digit of s?
4
Let m(k) = 44*k**2 + 6*k + 10. What is the hundreds digit of m(-2)?
1
Let b(k) = -k**3 + 18*k**2 - 17*k + 2. Let u be b(17). Suppose -10 = -2*z, -u*r + z = r - 10. What is the units digit of r?
5
Let h(z) = z - 11. Let o be h(13). Suppose 3*s - o*r = -r + 125, 3*s - 4*r = 140.