m) be the first derivative of k(m). What is the units digit of d(-2)?
3
Let x(g) = 2*g**3 - 2*g**2 - 2*g + 2. Let r be x(3). Suppose -2*o - r + 2 = 0. Let u = -7 - o. What is the units digit of u?
8
Suppose -r = -5*r + 44. What is the tens digit of (-12)/(-8)*r*2?
3
Let x(z) = z**3 + 13*z**2 - 14*z - 12. Let o be x(-14). What is the tens digit of 41/3 + (-4)/o?
1
Let t(m) = m**2 - 5*m + 5. Let k be t(4). Let x be k/2*(-5 - -3). What is the units digit of x/(1/(-3)) - 0?
3
Let r(q) = -8*q**2 + q. Let i(d) = -d**2 - d - 1. Let s be i(-1). Let y be r(s). What is the units digit of (-6)/y*(-9)/(-6)?
1
Let l = 12 + -8. Suppose -h - 3 = 2*r - 8, -h = r - 2. Let a = l - h. What is the units digit of a?
5
What is the units digit of (-172)/(-3)*(-4)/(32/(-12))?
6
What is the tens digit of (-6)/2*(-1066)/39?
8
Suppose c + 3 - 6 = 0. Suppose 1 + 65 = c*p. What is the tens digit of p?
2
Suppose -2*p + 64 = -3*p + 4*l, 0 = 3*p - 4*l + 184. What is the units digit of (-2 - (-24)/15)*p?
4
Let s be (-48)/(-9) - 1/3. Let t be 96/15 + (-2)/s. Suppose 4*y - t = 3*y. What is the units digit of y?
6
Let h = -9 + 14. Suppose -3*y - h*v + 5 = 0, v = 3*y - v - 40. What is the units digit of y?
0
Let j(k) = -k**3 - 17*k**2 - 19*k + 11. What is the tens digit of j(-16)?
5
Let i = -10 - -59. What is the tens digit of i?
4
Let k be -3*1*4/(-6). Let r = -15 - -18. Suppose -k = q - r*p - 19, -q - 3 = p. What is the units digit of q?
2
What is the hundreds digit of (1 - -483)/2 + (-12)/4?
2
Suppose -5*q - 2*a = -35, q - 6*q - 5*a + 20 = 0. Let m = 18 - q. What is the units digit of m?
9
Let t be 1/3 + (-272)/(-12). Let o(n) = -n - 15. Let z be o(0). Let i = t + z. What is the units digit of i?
8
Suppose -5*p = -2*p. Suppose p*w - 4*w = 2*v - 98, -2*w + 3*v = -29. What is the units digit of w?
2
Let q = 231 - 134. What is the tens digit of q?
9
Let f(m) = -62*m + 61. What is the hundreds digit of f(-5)?
3
What is the units digit of -4*4/8 + 4?
2
Let c = 484 - 314. What is the hundreds digit of c?
1
Suppose -4*l - 5*p + 0*p = -675, 2*l + 4*p = 336. What is the hundreds digit of l?
1
Suppose -3*p = -13 - 164. What is the tens digit of p?
5
Suppose 5*m - 1 + 41 = 0. Let b(c) = 3*c**2 - 4*c + 13. Let g(k) = 5*k**2 - 6*k + 20. Let x(p) = m*b(p) + 5*g(p). What is the units digit of x(-4)?
4
Suppose 4*u + 8*u - 1536 = 0. What is the units digit of u?
8
Let c(s) = -s**2 + s + 3. Let h be c(0). Suppose g = -h*g + 96. What is the units digit of g?
4
Let p(t) = -t**3 + 5*t**2 + 2*t - 1. What is the units digit of p(5)?
9
Let l(n) = 2*n**2 - 2*n + 2. What is the units digit of l(3)?
4
Let k = 1102 + -782. What is the hundreds digit of k?
3
Suppose -45 = -4*k + 3. What is the units digit of k?
2
Let r(a) be the first derivative of -a**4/4 + 4*a**3/3 - a**2 + 5*a + 3. Let g be r(4). What is the units digit of 9/(6*g/(-24))?
2
Let d be (-5)/(-2)*(-6)/(-5). Suppose 3*c - 42 = -d*v, 70 = 2*v + 3*v - 2*c. What is the tens digit of v?
1
Let j = 63 + -45. Suppose 4*u - j = -6. Suppose -12 = u*s - 5*s. What is the units digit of s?
6
Let g be (6/9)/(1/(-24)). Let u be (g/10)/((-8)/20). Suppose -2*a - 4*y + 2 + 4 = 0, 4*a - 12 = u*y. What is the units digit of a?
3
Let z(r) = r**2 - 5*r + 5. What is the units digit of z(4)?
1
Let v = 87 + -51. Suppose 5*o = -3*s - 69, 4*o - 2*s = 2*s - v. What is the units digit of (-87)/(-18) + (-2)/o?
5
Suppose 0*q - 5*q + 45 = 0. Suppose -4*h + q*h = n + 57, 3*h = 2*n + 37. What is the tens digit of h?
1
Suppose -3*y - g = 86, -2*g - 103 = 3*y - 18. Let z = y + 52. What is the tens digit of z?
2
Suppose 24 = 3*x - 3*a, -2*x - 2*a + 9 = 3*a. What is the units digit of x?
7
Suppose 3*s + 4*n - 2*n = 103, 0 = 2*s + 3*n - 62. What is the tens digit of s?
3
What is the tens digit of 12/22 - (-13104)/176?
7
Suppose -2*v + 3*v = -16. Let y be (v/1)/2 - -1. Let t(k) = k**3 + 8*k**2 + 7*k + 2. What is the units digit of t(y)?
2
Suppose -3 = -3*x, 0 = -d - 4*x - x + 10. Suppose q - d*q = -8. Suppose -q*p = 6 - 22. What is the units digit of p?
8
Let h = 46 - 17. Suppose 52 = 4*y + y - x, 4*y - 5*x = h. Suppose 4*f - 55 = -y. What is the tens digit of f?
1
Let g(w) = 13*w - 1 + 0 + 2*w. Let y be (28/(-8) + 3)*-2. What is the units digit of g(y)?
4
Let h = -1 + 14. What is the tens digit of 245/h + 4/26?
1
Let n(k) = 9*k. Let a be n(9). Let m = -18 + a. Let f = m - 44. What is the tens digit of f?
1
Suppose -4*a + 128 = 4*d, 2*d = 2*a + a + 39. Suppose -4*o = -d - 5. What is the units digit of o?
8
Suppose 150 + 580 = 4*b - 2*n, -3*b = -2*n - 550. What is the units digit of b?
0
Let w(b) = b**2 + 8*b + 5. Let v be w(-6). Let y = v - -11. What is the units digit of y?
4
Let x(q) = -q**3 - 4*q**2 + 2*q + 6. Let z be x(-4). Let d(i) = i**2. Let w be d(z). Suppose 0 = 4*g - h - 48, g - 31 = -w*h - 2. What is the tens digit of g?
1
Suppose 123 + 61 = -2*g. What is the tens digit of g/(-2)*(-2)/(-4)?
2
Let g be 0/(4/(-2 - -4)). What is the units digit of 9/((-4)/(-4) + g)?
9
Let c = 11 - 5. Suppose -y - 45 = -c*y. What is the units digit of y?
9
Let t(p) = 28*p**2 + 8*p + 8. What is the units digit of t(-3)?
6
Suppose -5*u = -4*u + s - 64, -5*u + 313 = -2*s. Let o = 93 - u. What is the units digit of o?
0
What is the tens digit of ((-14)/21)/(3/(-954))?
1
Let j = 17 + -9. Let h(b) = -4 + 2*b**2 - j*b**2 - 2 + 3*b + b**3. What is the tens digit of h(6)?
1
Suppose 2*m + 24 + 40 = 3*x, -3*x = -3*m - 60. Let t = -8 + x. What is the tens digit of t?
1
Let k = -1 - -2. What is the units digit of ((-3)/k)/(-3)*2?
2
Suppose 10*d - 173 - 247 = 0. What is the tens digit of d?
4
Let n(f) = f**3 - 2*f**2 - f - 3. Let i be n(3). Suppose -4*m + i*c = -2*m - 33, 2*m + 3*c - 15 = 0. What is the tens digit of m?
1
What is the tens digit of (-7)/((-14)/(-390))*4/(-12)?
6
Let s(n) = 8*n - 18. What is the units digit of s(3)?
6
Let f = 8 - 3. What is the units digit of f?
5
Suppose 104 = 5*h - 2*g, -75 = -3*h - 3*g - 0*g. What is the tens digit of h?
2
Let h(o) = o**3 - 6*o**2 + 8*o - 3. Let b be h(5). Let x(v) = -4*v + v + v + 3*v + b. What is the units digit of x(-9)?
3
Suppose 26 + 9 = 5*a. Suppose -a = -2*m - 3. What is the units digit of m?
2
Let t(q) = -q**2 - 5*q + 3. Let f be t(-5). Suppose -4*p = -5 - 7, 4*p = f*h + 6. Suppose -h*c + 32 = 2*c. What is the units digit of c?
8
Suppose 0 = -v + 1 - 2. What is the units digit of 3/v*(-1)/3?
1
Suppose 5*c = c - 48. Let t = -2 - c. What is the units digit of t?
0
What is the units digit of 3*(-4)/(-12) - -40?
1
Let y(w) be the third derivative of w**5/30 + w**4/12 + w**2. What is the tens digit of y(-3)?
1
Let h(l) = l**2 - 8*l + 7. Let n be h(7). What is the units digit of 18*(n - (-2)/6)?
6
Suppose -4 = -b + 8. What is the tens digit of b?
1
Let x(w) = w - 3. Let z be x(-16). Suppose -2*l + 2*u = 80, 2*l + 4*u = 3*l + 40. Let f = z - l. What is the units digit of f?
1
Let u = -6 - -6. Suppose 4*a - 5*k - 150 = 0, u = -a - 3*k - 30 + 76. What is the units digit of a?
0
Let u = 3 - 1. Let o(k) = 2*k**3 - 3*k**2 + k - 1. Let v be o(u). Suppose v*m - 23 = -n, -n + 7 = 2*m - 4. What is the units digit of m?
4
Let f(b) = -2*b**2 + 0 + 0 + b**3 + b. Suppose 3*o - 5*z = 31, -5*o + z = 3*z. What is the units digit of f(o)?
2
Let j(y) = -y**3 - 4*y**2 + y - 6. Suppose -5*o - 9 = 16. What is the units digit of j(o)?
4
Suppose -2*n = n. What is the units digit of n/1 - (3 - 4)?
1
Suppose 4*h + 3*q + 28 = -2, 2*h - q + 20 = 0. Let z = -3 - h. What is the units digit of z?
6
Suppose h + 252 = 8*h. What is the tens digit of h?
3
Suppose -21 = -0*m - m. What is the units digit of m?
1
Let x be 0 + (4 - 3) + 3. What is the units digit of (-6)/x*32/(-12)?
4
Suppose -i - 2*q = -34, 4*i = -2*q + 50 + 74. What is the units digit of i?
0
What is the units digit of 12 - (-6)/(-1 - 1)?
9
Let v be -3*(-1)/(3/(-54)). What is the units digit of ((-2)/12)/(9/v)?
1
Let o(k) = -k**3 - 7*k**2 - 8*k - 9. Suppose 0 = 3*w + w. Suppose y - 4*d - 14 = 6*y, w = -4*y - 3*d - 12. What is the units digit of o(y)?
3
Suppose -3*s = z - 16, -2*z - 3*z - 5*s = -40. Suppose -z*d + 28 = -2*d. What is the units digit of d?
4
Let d(j) = -j**3 + 6*j**2 - 4*j + 2. Suppose -a - 1 = -6. What is the units digit of d(a)?
7
Suppose 0 = -2*n + 4*n + 170. What is the tens digit of (-4)/2*n/10?