ivative of 0 + 2*t + 7/6*t**3 - 1/12*t**4 + 1/2*t**2. What is the units digit of o(7)?
1
Suppose 0 = -3*c - 0 - 3, -c = 2*q - 5. Suppose 0 = -3*l - 15, -d + 49 = q*d - 5*l. What is the units digit of d?
6
Let m(g) = 10*g**2 - g. What is the units digit of m(2)?
8
Let d be (-6)/4*(-24)/18. Suppose -3*c - 10 = d*y, -3*c - 10 = c + y. What is the tens digit of (91/(-14))/(1/c)?
1
Let v(h) = -h**2 + h - 2. Let q be v(0). What is the units digit of 2 + q/(-1*2)?
3
Suppose 0 = a - 5. Suppose -3*y = -5*u + 6, -1 = 5*y + a*u - 31. What is the units digit of y?
3
Let j be (2 - (0 + 1))*7. Let c be 11*(2 - j)*-1. Suppose -c = -5*y - 3*a, 3*y - 10 = 2*a + 4. What is the units digit of y?
8
Let k = 7 - 2. Suppose k*b - 60 = -0*b. What is the tens digit of b?
1
Let d(m) be the second derivative of 5*m**4/4 - m**3/3 - m**2/2 - 8*m. What is the tens digit of d(-1)?
1
Let g(w) = 15*w. Let t(x) = x. Let c(d) = 6*g(d) - 85*t(d). Let f be c(1). Suppose j = f + 2. What is the units digit of j?
7
Let w = -30 - -43. What is the units digit of w?
3
Suppose 0 = -4*p + 12, 60 = 2*g - 4*p - 6. What is the units digit of g?
9
Let h(c) = -10*c - 22. What is the units digit of h(-10)?
8
Suppose q - 3 = -2*h, -2*h - 3*q - 7 = -0*h. Suppose -21 = -5*u + 2*u + 3*b, 0 = -h*u + b + 19. What is the units digit of u?
4
Let b(p) = 3*p - 5. What is the tens digit of b(5)?
1
What is the hundreds digit of (6/7)/((-1)/532*-4)?
1
Let u = 2 + -1. Let d = 18 + -14. Let l = d + u. What is the units digit of l?
5
Let t = -5 - -7. Let w be t/4 - 2/(-4). Suppose -3 = -z - 2*h - w, 14 = 2*z - h. What is the units digit of z?
6
Let q = -283 - -526. What is the tens digit of q?
4
Let t = 127 + 259. What is the tens digit of t?
8
Let d(l) = -2*l + 6. What is the units digit of d(-5)?
6
Suppose -4*p + 2*k = -36, 3*p + 0*k = k + 25. Suppose -p + 39 = 4*o. What is the units digit of o?
8
Let d = -10 - -17. Suppose z - d = -2. Suppose 16 = u + z*j, -13 = 3*u - 4*u - 2*j. What is the units digit of u?
1
Let x be 8/(-12)*3/(-1). Let h(u) = 2*u**2 + 2*u - 3. What is the units digit of h(x)?
9
Suppose p - 5*d + 6 = -3, 0 = 4*p + d - 6. Let x = 1 + p. What is the units digit of x?
2
Let x(c) = -2*c - 13. What is the units digit of x(-10)?
7
Suppose -i = r + 5 - 71, -285 = -5*r + 4*i. What is the tens digit of r?
6
Let t be 2102/26 + (-4)/(-26). Suppose 6*r - r = -3*q + t, -3*r = -3*q - 39. What is the units digit of r?
5
Suppose -3*g + 2 + 10 = 0. What is the units digit of g?
4
Let n be 26/6 - 6/18. Suppose -95 = n*m - 9*m. What is the tens digit of m?
1
Let r be (80/(-3))/((-14)/63). Suppose r = 4*w - 16. Suppose 2*v + a = 7, -2*v = -6*v + 2*a + w. What is the units digit of v?
6
Suppose 0 = 10*d - 6*d - 56. What is the units digit of d?
4
Suppose 9 + 1 = 5*w. Let q = -1 + 6. Let p = q - w. What is the units digit of p?
3
Let q(h) = -252*h + 5. What is the tens digit of q(-1)?
5
Let o = -3 + -1. What is the tens digit of (-3)/2 - 74/o?
1
Suppose -2*y + 0*y + 4 = 0. Let t be 19/3 + y/(-6). Suppose 4 = -2*r + t*r. What is the units digit of r?
1
Let x = -71 - -99. Suppose 29 = 3*w - x. Suppose 11 = 2*b - w. What is the units digit of b?
5
Let b be (19/2)/((-1)/6). Let q = 129 + b. Let d = -51 + q. What is the tens digit of d?
2
Let h be 2 + -4 + 3 - -20. Suppose -2*q + 4 = 24. Let y = q + h. What is the units digit of y?
1
Suppose -3*c = p + p - 113, -4*p + 4*c = -276. What is the units digit of p?
4
Let s(j) = -9 - j**3 + 2*j - 5*j + 9*j**2 - 6*j. What is the tens digit of s(7)?
2
Suppose 3*p - 5*r = -18, 6*p + 5*r + 24 = 2*p. What is the units digit of (p/(-7))/(1/7)?
6
Let b(i) = -i**3 - 6*i**2 - 3*i - 9. Let p be b(-5). Let m(c) = c**3 + 7*c**2 + c + 7. Let h be m(-6). Let t = p + h. What is the tens digit of t?
1
What is the units digit of (-5 - -1)/(11/(-638))?
2
Let i = 9 + -1. What is the units digit of i?
8
Let q be 2 - 0 - (0 + -1). Suppose 0 = -s - 2, 2*z + 2*z - q*s + 2 = 0. What is the units digit of (z/6)/((-1)/6)?
2
Suppose 2*f = 3*t, 0 = -3*f + 2*f - 2*t. Suppose -s + 2 = -f. Suppose -h + 0*h + s*l + 12 = 0, 3*l = 3*h - 45. What is the units digit of h?
8
Let n = 1 + 13. What is the tens digit of n?
1
Suppose 2*b = -10, 3*t = -4*b - 0*b + 61. Suppose -4*s = 5*i - t, 5*s - 3 = i + 3*i. What is the units digit of i?
3
Let h = -12 + 19. Suppose -4*b = -h*b + 48. What is the units digit of b?
6
Let c(w) = w**3 - 6*w**2 - 8*w + 2. Let t be c(7). Let k(s) = s**2 + 2*s - 2. What is the units digit of k(t)?
3
Let b(v) = -v**2 + 10 + 4 + 0*v**2 + 0 + 11*v. What is the units digit of b(10)?
4
Suppose -4*j = 4*i - 0*j - 208, 4*i - 2*j = 232. What is the units digit of i?
6
Let j = -2 + 5. Let h be ((-20)/(-3))/(3/18). Suppose 5*z = -5*g + h, 0*g + 11 = -j*z + 4*g. What is the units digit of z?
3
Let d(g) = g**3 - g**2 + 1. Let q(k) = -k**3 - k**2 - k. Let s(o) = -2*d(o) - q(o). What is the units digit of s(3)?
1
Suppose 3*o - 135 = -5*m, 0 = o + 6 - 1. What is the units digit of m?
0
Let n(q) = -q**2 + 4. Let m be 0 - 0 - (0 - 4). Suppose 0 = b - m*p + 12, -3*p - 9 = 5*b - 6*p. What is the units digit of n(b)?
4
Let w(m) be the second derivative of -m**4/12 - 3*m**3/2 + 3*m**2 + m. Let j be w(-7). Let g = -11 + j. What is the units digit of g?
9
Suppose 4*y + 0 = 20. Let n = 7 - y. Suppose -t - 6 = -n*t. What is the units digit of t?
6
Let h(x) = -11*x - 2. What is the units digit of h(-3)?
1
Suppose 0 = 2*r + 4*u - 14, 2*r + 0*u = -2*u + 14. Let q(p) = p**3 - 6*p**2 - 6*p - 8. Let s be q(r). What is the units digit of s/3 + (-7)/(-3)?
2
Suppose -920 = 4*i - 12*i. What is the hundreds digit of i?
1
Suppose 3*y = -3 + 18. Suppose 3*n - y*n + 8 = 0. Suppose n*x - 2*x = 38. What is the units digit of x?
9
Suppose 3*r + 0*i - i = -10, -3*r - i = 2. What is the units digit of -2*1/4*r?
1
Let l(j) = 2*j - 5. What is the units digit of l(5)?
5
Suppose 0 = -3*x - 2*x - 2*d + 48, 0 = -d + 4. Let b = -7 + 0. Let m = b + x. What is the units digit of m?
1
Let r(m) = -m**3 + 9*m**2 - 8*m + 2. Let o be r(8). Let g(l) = -l**2 + 4*l. What is the units digit of g(o)?
4
Let h(t) = t**3 + 3*t**2 - 6*t - 3. Let w be h(-4). Suppose w*f + 2*p - 163 = 0, 3*f - 38 = 5*p + 35. What is the units digit of f?
1
Suppose -2*z + 6 = -6. Suppose l - z = -l. What is the units digit of l?
3
Let k(d) = -d**3 + 4*d**2 + 5*d + 5. Let x be k(5). Let r = 8 - x. Let i = r + 1. What is the units digit of i?
4
Suppose -4*k + 8*k = 2*d - 38, 2*k + 61 = 3*d. What is the units digit of d?
1
Suppose b - 5*x + 22 = -1, 0 = 2*b - x + 1. Let l be (b - 2) + (6 - 4). What is the units digit of l*(0 - -2) - 1?
3
Let c = -52 - -96. Suppose -q + c = 3*j, q + 25 = 2*j - 6. What is the units digit of j?
5
Suppose -f - 12*f + 1144 = 0. What is the tens digit of f?
8
Suppose -1638 = -4*p + 42. What is the tens digit of p?
2
Let m = -11 - -7. Suppose 27 = -0*c + 3*c. Let r = m + c. What is the units digit of r?
5
Let h(w) = w**3 - w**2 - 3*w - 1. Let p be h(-3). Let x be (-2248)/p - (-4)/(-14). Suppose 5*k - x = -5. What is the tens digit of k?
1
Suppose -10 = -5*h - 2*c, c + 2 + 2 = 2*h. Suppose -h = -x, -2*n - 2*x = 3*n - 199. What is the tens digit of n?
3
Let c(p) = 127*p**3 + p**2 - 4*p + 3. What is the units digit of c(1)?
7
Suppose -r - 30 = -3*v - 4*r, 4*v = 5*r - 5. Suppose 0 = -3*y - v*h + 58, 6*h + 17 = 2*y + 5*h. What is the tens digit of y?
1
Let s(d) = 3*d**2 - d - 6. What is the tens digit of s(5)?
6
Let c(m) = 2*m + 90. What is the tens digit of c(0)?
9
Let r(c) = -3*c - 4. Let b be r(-6). Let g be (0 - 3 - b)/(-1). Let u = g - 8. What is the units digit of u?
9
Suppose 4*n = -13 + 1, 4*q - n = 95. What is the units digit of q?
3
Let p(f) = -4*f + 3*f + 3 - 11. Let j be 200/16*8/(-10). What is the units digit of p(j)?
2
Let p(t) = t**2 + 3*t - 2. Let z be p(-4). Suppose 3*y + 30 = 2*s + y, -4*s + 66 = -z*y. What is the units digit of s?
8
Let y = -48 + 65. What is the tens digit of y?
1
Suppose 18*m = 12*m + 1746. What is the tens digit of m?
9
Let l(m) = 9*m**3 + 23*m**2 - 15*m + 17. Let k(u) = -5*u**3 - 12*u**2 + 8*u - 9. Let f(z) = 7*k(z) + 4*l(z). What is the units digit of f(-8)?
7
Let q = 4 + -7. Let u = q - -3. Suppose 14 = -u*h + 2*h. What is the units digit of h?
7
Suppose -7*k = -2*k - 10, 3*u - 4*k = -5. Suppose u + 3 = x. 