 v(i)?
2
Let v(t) be the second derivative of t**7/2520 - t**6/120 - t**5/15 + 2*t**4/3 + 6*t. Let n(i) be the third derivative of v(i). What is the units digit of n(8)?
8
Suppose b = -2*b, 0 = -4*k - b + 24. Let u = 2 - k. What is the units digit of (-776)/(-72) + u/(-18)?
1
Suppose 5*g = z - 368 - 78, 4*z - 1818 = 3*g. What is the units digit of z?
6
Suppose 0 = 9*b - 0*b - 18. Suppose -2*q + 140 = 3*v - 213, -b*v + 240 = -q. What is the hundreds digit of v?
1
Let i(q) = q. Let k(f) = 3*f - 2. Let d(w) = -6*i(w) + k(w). Let n(a) = -a**2 + 3*a - 1. Let c be n(4). What is the tens digit of d(c)?
1
Let r(i) = -i. Let t be r(1). Let o be (-2 - -2) + -2 - t. Let s(u) = 9*u**2 + u + 1. What is the units digit of s(o)?
9
Suppose -y + 81 = -0*y. Let c = 204 - y. What is the tens digit of c?
2
Let j(o) = o + 10. Let g be j(-6). Suppose 5*m = g*m - 2. What is the units digit of 1/(m*(-1)/6)?
3
Suppose 11*f + 13*f = 720. What is the units digit of f?
0
Let p(b) = -3*b**3 + 16*b**2 - 27*b - 5. Let u(k) = -k**3 + 8*k**2 - 14*k - 2. Let d(n) = -2*p(n) + 5*u(n). What is the tens digit of d(-9)?
6
Suppose 55*b - 52*b - 12 = 0. Suppose 4*c - 170 - 294 = -4*w, -460 = -b*c - 5*w. What is the tens digit of c?
2
Suppose 30*k = 20*k + 3480. What is the tens digit of k?
4
Let t = -2195 + 7411. What is the thousands digit of t?
5
Let q(y) = -72*y + 10. What is the tens digit of q(-9)?
5
Let i = 1806 - 459. What is the units digit of i?
7
Let q(i) = 3*i**2 + 5*i + 3. Let f be q(-2). Suppose f*a + 20 = 0, -2*a = -4*x + 475 - 39. What is the units digit of x?
7
Let c(v) be the third derivative of 0*v + 1/24*v**4 + 5*v**2 + 7/6*v**3 + 0. What is the tens digit of c(6)?
1
Suppose 201 + 229 = 5*z. Let q be z/(-4 + 1 - -1). Let n = q - -61. What is the tens digit of n?
1
Let y = -811 - -1284. What is the units digit of y?
3
Suppose 739*w = 740*w - 956. What is the tens digit of w?
5
Let g(o) = 10*o + 1. Let k be g(5). What is the hundreds digit of (k + 2)/(5/2 + -2)?
1
Suppose 0 = 3*y - y - 28. What is the tens digit of (4/(-1))/((-4)/y)?
1
Suppose -3*z - 2*b = -0*b - 122, 200 = 5*z + 5*b. Suppose z = 3*q - 4*i, -1 = -2*q - 3*i + 27. What is the tens digit of q?
1
Suppose -6 = -2*t + 10. Suppose 5*y + 141 = t*y. What is the tens digit of y?
4
Let x = 67 + 48. What is the units digit of x?
5
Let p(v) = 5*v**2 - 26*v + 21. What is the tens digit of p(-8)?
4
What is the units digit of ((-9708)/18)/((-2)/3)?
9
Suppose -37 = -4*f + 51. Suppose -f = -2*m + 4*h, 0*m = m + 3*h - 16. What is the units digit of m?
3
Suppose 0*y + y + 4*u = 380, 5*u = 5. What is the hundreds digit of 6/12*y/1?
1
Suppose 0 = -3*z + 5*i + 597, z - i - 185 = -4*i. Let h = z + -26. What is the units digit of h?
8
Let u be 2 + (-12)/(-3)*5. Let m(z) = 15 - 29*z + u*z + 14*z. What is the tens digit of m(4)?
4
Let k = 292 + -73. Suppose c + w = -0*w + 204, c - 4*w = k. What is the hundreds digit of c?
2
What is the hundreds digit of 350*(49/(-14) - -5)?
5
Let b(m) = -7*m**3 - 24*m**2 - 16*m - 17. Let w(c) = 6*c**3 + 23*c**2 + 16*c + 18. Let i(g) = 5*b(g) + 6*w(g). What is the units digit of i(-17)?
0
Suppose -31*q + 28*q = -15. Suppose -6*v + q*v = -134. What is the tens digit of v?
3
Suppose -2*s + 5*s = -6. Let q be s/7 + (-45)/63. What is the units digit of 23 - (-3 - -3) - q?
4
Let h = 19 + 37. What is the units digit of (h/20)/(4/60)?
2
Suppose -41070 = -13*o + 3286. What is the hundreds digit of o?
4
Let w be 57 - (-4)/(0 - 1). Suppose -6*j + w = -7. Let t = j - 3. What is the units digit of t?
7
What is the tens digit of 313*(-10 + (-88)/(-8))?
1
Let s(a) = a**3 - 6*a**2 - 4*a + 5. Let l be s(7). Let t = -24 + l. What is the units digit of t?
2
Suppose 23*m - 35*m = -35772. What is the hundreds digit of m?
9
Let b(d) = -3*d**3 + 2*d**2 + 5*d + 4. Let u be b(-3). Let l = u + -57. Let j = l - -40. What is the units digit of j?
1
Suppose -4*u + 17 = -h - 2*h, 4*h = u - 1. Let b = u - 1. Suppose -3*c + 2*w = w - 67, w - 94 = -b*c. What is the tens digit of c?
2
Let p(h) = 2*h - 14. Let v be 1*(0 - -1)*10. Let d be p(v). Suppose 0 = 5*a - 25, -49 = 2*j - d*j - 5*a. What is the units digit of j?
6
Let i be (-29406)/(-15) + (-2)/5. Suppose 11*k = k + i. What is the tens digit of k?
9
Suppose -2447 = -8*p + 553. What is the hundreds digit of p?
3
What is the tens digit of 1 - (5 + -467 - 1)?
6
Let j(i) = -i - 5. Let h be j(-13). Let a = 13 - h. Suppose -3*v = -6*v + a*w + 96, v = -w + 24. What is the tens digit of v?
2
Suppose 2*o - 6*o = 0. Suppose -5*k - x + o*x = 99, -5*k - 2*x = 98. What is the units digit of (-15)/k + (-980)/(-16)?
2
Let r = 15 + -18. Let z(m) = m**3 + 3*m + 4. Let b be z(r). What is the units digit of 536/30 - b/240?
8
Let q(i) = 2*i - 13 + 0*i + 5*i. What is the hundreds digit of q(22)?
1
Suppose 5*s - 2010 = -0*s + 5*c, -4*s = -c - 1602. Suppose 8*y + s = 3*y. Let n = y + 122. What is the tens digit of n?
4
Suppose -12 = 4*d - 6*d. What is the tens digit of ((-4)/(-5))/(d/420)?
5
Suppose -3 + 0 = -n - y, 4*y = -2*n + 8. Let u(f) = -f**3 - 8*f**2 - 12*f + 13. Let r be u(-7). Suppose n*o = -o + r. What is the units digit of o?
6
Suppose -26*m = -24*m + 162. Let v = m + 132. What is the units digit of v?
1
Let o(m) = -m**3 - 7*m + 13*m + 7*m**2 + 6*m**2 + 4*m + 23. What is the units digit of o(13)?
3
Let x(j) = j**3 + 14*j**2 + 11*j - 13. What is the hundreds digit of x(-6)?
2
Suppose b + a = 459, -6*b + 2*b + 2*a = -1812. What is the hundreds digit of b?
4
Suppose 8*d - 9919 = -5*d. What is the units digit of d?
3
Let f(m) = m**2 + 2*m - 3. Let q be f(2). Let u be q + 2 + (-4)/2. What is the units digit of ((-45)/u)/((-3)/2)?
6
Let q be ((-207)/18)/(1/(-2)). Let h = q - -52. What is the tens digit of h?
7
Suppose -6*k = -961 - 905. What is the hundreds digit of k?
3
Let c(o) be the third derivative of 5*o**4/24 - o**3 - 7*o**2. Let f be c(4). Suppose -f = w - 3*x, 2*w - x = -w - 2. What is the units digit of w?
1
Let z = -4 + 7. Suppose 3*a + 4*h = 44, -9 = -3*a + 4*h - h. Suppose -z*w - a = -206. What is the units digit of w?
6
Let f(m) = m**3 + 8*m**2 + 4*m - 6. Let c be f(-7). Let w = 46 - c. What is the units digit of w?
1
Suppose 4*l - 840 = 4*r + 1168, 3*l + 4*r = 1534. Suppose -4*z = -0*v + 2*v - 1016, -l = -2*z - 2*v. What is the tens digit of z?
5
Let x be -4 - (-14)/((-1)/1). Let y = x + 22. Suppose -j = -y - 1. What is the units digit of j?
5
Let y be 2/(-6)*(1 + -10). Let z(b) = y*b - 2 + 0 + 5*b + 3. What is the units digit of z(1)?
9
Suppose -4*y = 8, -4*b + 3*y + 5547 + 8259 = 0. What is the tens digit of b?
5
What is the tens digit of (98/35)/(4/290)?
0
Suppose -45 = -2*l - 39. What is the tens digit of l + (0 + 1 - (-1 - 216))?
2
Let v(h) be the first derivative of -h**3/3 - 10*h**2 + 33*h - 6. What is the units digit of v(-20)?
3
What is the units digit of -11 + (-14316)/(-15) - 6/15?
3
What is the hundreds digit of (-880)/(-11)*(1 + -1 - -2)?
1
Suppose -5*z + 25 = u - 2, -54 = -2*u + 5*z. Suppose 0 = 11*p - 8*p - u. Suppose -273 - 204 = -p*g. What is the tens digit of g?
5
Let j = -1669 - -2856. What is the hundreds digit of j?
1
Let s(c) = -c**2 - 5*c - 6. Let l be 10*(1/(-2) - 0). Let n be s(l). What is the units digit of n*1 + 3 - -6?
3
Let a = 116 - 68. Let h be 39/(-26) + 62/(-4). Let u = h + a. What is the units digit of u?
1
Suppose -g = b + g, 0 = -b - 3*g. Suppose 0 = 45*k - 44*k - 17. Suppose b = q + 4*c - 48, -2*q - k + 100 = -5*c. What is the units digit of q?
4
Suppose -32626 = -253*u + 231*u. What is the hundreds digit of u?
4
Suppose -3*m - 3*p + 1698 = -6*p, -p - 1704 = -3*m. What is the units digit of m?
9
Suppose 4*d + 43 + 1 = 4*j, 28 = 3*j - 4*d. Let k(c) = c**2 - 16*c + 2. Let b be k(j). Suppose 0 = -b*z - 9 + 25. What is the units digit of z?
8
Let z = 4808 + -2897. What is the units digit of z?
1
Let n = -17 + 23. Let o be (2/n)/(2/(-30)). What is the units digit of o*4*(-12)/30?
8
Suppose 0*y - 3*m - 27 = 3*y, -10 = 2*m. Suppose -b + 0*b + 2 = 0. What is the tens digit of 111/((-12)/y) + b?
3
Suppose -2*r - 76 = -428. Let l = r - 118. What is the units digit of l?
8
Suppose 3*d = 16 - 1. Suppose 449 = 4*g + d. What is the units digit of g?
1
Suppose -2*r - 420 = -2*n, -2*n = 4*r - 378 - 30. Let g = n + -93. What is the hundreds digit of 