ird derivative of -23*a**4/12 + 7*a**3 + a**2. Let m = -348 - -344. What is the hundreds digit of g(m)?
2
What is the thousands digit of 3969/(-945) - (-1167528)/15?
7
Suppose -12*n + 48709 = 16273. What is the hundreds digit of n?
7
Suppose -38*t - 13682 = -39*t + 4*f, t = 3*f + 13683. What is the units digit of t?
6
Suppose 4*q + 10864 = -4*m - m, -2184 = m - 2*q. Let c be m/12 + 2/(-3). Let t = c + 267. What is the tens digit of t?
8
Suppose -1043951 + 308321 = -70*j. What is the units digit of j?
9
Let t be (-6)/(-12)*4/1. Suppose -b = t*q - 51, -261 = -5*b + q - 6. Suppose -2*s + b = s. What is the units digit of s?
7
Let k(l) = l**3 + 7*l**2 - 60*l + 167. What is the thousands digit of k(17)?
6
Let o = 82 - 85. What is the hundreds digit of (-385 + 7)*5/o?
6
What is the tens digit of (3 + -2)/(((-28)/74669)/(-4))?
6
Let r be 3 - (-550)/6 - (-3)/9. Suppose r*j = 105*j - 4100. What is the hundreds digit of j?
4
Suppose 1289 = 5*j + 2*s, -1018 = -4*j - s + 6*s. Suppose -8*q - j + 1673 = 0. What is the tens digit of q?
7
What is the ten thousands digit of ((-33057120)/(-216))/10 + ((-48)/(-27) - 2)?
1
Suppose 210 - 72 = 3*t. Let a = t - 53. What is the units digit of 544/7 - 2/a?
8
Let w = 20 + -32. Let i = 4 - w. Let v = i + 13. What is the units digit of v?
9
Suppose 6*v - 255 - 441 = 0. Suppose v = 4*a + 12. What is the units digit of a?
6
Let j = 351 + -347. Suppose 5*b - 5820 = 4*z, 18*z - 14*z + 4652 = j*b. What is the thousands digit of b?
1
Let b = -7579 - -12024. What is the units digit of b?
5
Let v be 14/5 - -4*(-5)/(-100). Suppose 3*b + v*y = 45, -y - 3 = -b + 2*y. What is the hundreds digit of ((-1242)/b)/(4/(-8))?
2
Let i = -4345 + 6321. What is the tens digit of i?
7
What is the ten thousands digit of (90/(-135))/(6/(-209709))?
2
Let d = 45 - 29. Suppose 0 = 11*r - d*r + 1165. What is the hundreds digit of r?
2
Let p(s) = s**3 + 12*s**2 - 11*s + 34. Let t be p(-13). Let z(n) = -n**2 + 25*n + 7. What is the units digit of z(t)?
3
Let p be (19/(-2))/((30/(-6))/(-10)). What is the units digit of (-729)/1*p/57?
3
Let o(q) = -q**2 - 18*q - 86. Let k be o(-8). What is the hundreds digit of (-16)/(-24) + k*4916/(-36)?
8
Let c(k) = 5*k - 78. Let o(p) = -2*p + 26. Let h(v) = -3*c(v) - 8*o(v). Suppose -5*j - 36 = 3*i - j, -4*i - 79 = -5*j. What is the tens digit of h(i)?
1
Suppose 75*t + 20 = 76*t. Suppose 4*v - 2*c - 6 - 2 = 0, t = -v - 5*c. Suppose -88 = -4*j - 4*d, -3*j + 62 = -v*j + 2*d. What is the tens digit of j?
1
Suppose -10*t - 8*t = 0. Suppose 4*g + n + 2*n - 4804 = t, g = -3*n + 1210. What is the tens digit of g?
9
What is the hundreds digit of 30*(2/(-15 - -5))/(1/(-3144))?
8
Let q(c) = 3*c**2 + 31*c + 41. Let i(j) = 2*j**2 + 15*j + 20. Let b(w) = 5*i(w) - 2*q(w). Suppose 13*k + 7*k = -80. What is the units digit of b(k)?
0
What is the hundreds digit of 16 - 492/30 - (-3412)/5?
6
Let k(d) = 5*d**3 - d**2 - 17*d + 14. Suppose -17 = -7*z + 2*z + 2*t, 3*z = t + 11. What is the hundreds digit of k(z)?
5
Let p = 17027 + -7326. What is the tens digit of p?
0
Let r(n) = 12*n + 26. Let h be r(-2). Suppose -v + 1859 = h*l, 0 = -v + 3*l + 911 + 933. What is the hundreds digit of v?
8
Suppose -4*n - 5*k + 57228 = 0, -310*k = -315*k - 40. What is the hundreds digit of n?
3
Let i(l) be the third derivative of l**4/8 - 43*l**3/6 - l**2 - 977*l. Let c be ((-5)/3)/((-1)/15). What is the units digit of i(c)?
2
Let q = 644 + -379. Let p = 161 + q. What is the tens digit of p?
2
Suppose -108*t + 597876 = 87*t + 146841. What is the units digit of t?
3
Suppose 20*i - 90166 - 359394 = 0. What is the thousands digit of i?
2
Suppose -2*o + 4*w + 40 = 0, -5*o = -4*w - 42 - 40. Let l = o - 11. Suppose -115 = -5*j + 5*h, 57 = 6*j - l*j + h. What is the tens digit of j?
2
Let y(w) = 29*w**2 + 53*w + 4. Suppose -4*j = -23 + 39. What is the tens digit of y(j)?
5
Let w(p) = -4*p**3 - 11*p**2 - 8*p - 36. Let o(i) = 7*i**3 + 22*i**2 + 15*i + 71. Let z(v) = 3*o(v) + 5*w(v). What is the hundreds digit of z(-8)?
1
Let a = -247 - -264. Suppose a*r - 2916 = 5*r. What is the units digit of r?
3
Let w(p) = p**3 - 14*p**2 - 3. Let g be w(14). Let z be g/2*(-8)/6. Suppose 0 = -4*x - 2*m + 16, -3*x + 4*x + z*m - 4 = 0. What is the units digit of x?
4
Let f be 10/(-30) + 6/8*(-20)/(-45). Let k = 2592 - 1407. Suppose f = 105*c - 100*c - k. What is the hundreds digit of c?
2
Let i(x) = 37*x**2 + 15*x - 80. What is the hundreds digit of i(7)?
8
Let m(k) = 39*k**2 - k. Let u(b) = 19*b - 33. Let c be u(6). Let i = 82 - c. What is the units digit of m(i)?
8
Let s = -671 + 247. Let j = s + 463. What is the units digit of j?
9
Let v be (0 + (-6)/(-2))/(6/8). Suppose 0 = 4*n + v*d, 2*d - 5 = -4*n - d. Suppose -2*q + 4*q = -4*t + 62, 3*t - 162 = -n*q. What is the tens digit of q?
3
Suppose 4*l - 32 = 0, 32*l - 28*l = x - 35885. What is the thousands digit of x?
5
Let p(i) = -2*i**3 - 5*i**2 + 7*i - 1. Suppose 0 = -f + 11 - 16. Let d be p(f). Let o = 128 - d. What is the tens digit of o?
3
Suppose 7*m - 60 = 4*m. Suppose -4*t + m = 0, 0*i = 2*i + t + 3. What is the tens digit of (1372/(-35))/(i/10)?
9
Suppose -31*y + 24*y = -63. Suppose -y = 3*o - 5*g, 2*g - 5 = 1. What is the units digit of (-1)/o + 3/6 - -81?
1
Suppose 8*v + 7382 = f, 0 = 12*f - 8*f - v - 29590. What is the tens digit of f?
9
Suppose 36982 + 24858 = 40*i. What is the thousands digit of i?
1
Let p(u) = 1131*u**2 - 12*u - 3. Let n(o) = 3*o**2 - 28*o - 54. Let a be n(11). What is the hundreds digit of p(a)?
1
Let x(b) = b**2 - b - 4201. What is the tens digit of x(-115)?
3
Let f(h) = 61*h + 17 + 10*h**2 - 5*h**2 - 47 - h**2. What is the tens digit of f(-25)?
4
Let o = 8625 - 4482. What is the tens digit of o?
4
Let q(u) be the first derivative of 65*u**2/2 + 3*u + 20. Let t(n) = 1. Let v(a) = q(a) + 3*t(a). What is the hundreds digit of v(2)?
1
Suppose 18 = 4*n - 7*n. What is the tens digit of 160/28*(-777)/n?
4
What is the hundreds digit of (4/(-26) + (-1007182)/(-1144))*(7 + -3)?
5
Suppose -463*f + 1420946 = 301669 - 560024. What is the thousands digit of f?
3
Suppose 0 = -5*s - 5*n - 10, -3*s + 5*n + 3 = -s. Let x(j) = j**2 + 11*j - 910. Let k be x(-36). What is the tens digit of 44/(5*s/k)?
8
Suppose -110 = -8*v + 210. Suppose -32*r + v*r - 12128 = 0. What is the thousands digit of r?
1
What is the units digit of 37340/40*2 + -10?
7
Suppose -4*a + 31560 = 4*j, -18*a + 7887 = j - 14*a. What is the thousands digit of j?
7
Suppose -187*o = -180*o - 2443. Suppose x = 3*w + o, 5*x - 5*w = 4*x + 341. What is the tens digit of x?
6
Let y = 737 - 724. Let c(x) = -6*x**3 + 10*x**2 - 22*x - 33. Let l(k) = 7*k**3 - 9*k**2 + 23*k + 34. Let b(r) = 6*c(r) + 5*l(r). What is the tens digit of b(y)?
8
Suppose 45*y + 1530214 = 83*y + 165*y. What is the tens digit of y?
3
Let p(a) = a**3 - 41*a**2 - 77*a + 48. What is the tens digit of p(45)?
8
Suppose -h + 8 = 3*t, 0 = -h - 4*t - 15 + 24. Suppose -h*i + 2*p + 8195 = 0, -2*i + p + 3297 = 4*p. What is the thousands digit of i?
1
Let f = -5415 - -11756. Suppose 13*a - 24294 + f = 0. What is the units digit of a?
1
What is the thousands digit of 16/(-10)*(-20 - -19 - 834)?
1
Suppose -2 = 2*v - 6. Let t(h) be the first derivative of 11*h**2 - h - 165. What is the units digit of t(v)?
3
Let h(z) = -22*z**3 + 4*z**2 - 19*z - 20. What is the hundreds digit of h(-5)?
9
Suppose -5*c + 3*c + 14 = b, 3*c = 4*b - 1. Suppose -16 = b*q + 20. What is the units digit of (q - (-4 - -2))*-13?
1
Suppose -291*w + 296*w = 9940. What is the tens digit of w?
8
Let b = 50 - 44. Suppose 39*d + b = 36*d. Let c(v) = -15*v - 1. What is the units digit of c(d)?
9
Suppose -8*t + 10*t + 32 = 0. Let p be (t/12)/(2/6). What is the tens digit of (0 - (p + 6)) + 87?
8
Let h be 138/21 - 2 - 6/(-14). Let k be h*(-8 + 20/(-4)). What is the tens digit of 3*2/(-1)*k/10?
3
Let c(b) = -18*b + 25. Let q be c(0). Suppose 0 = q*l - 14*l - 3982. What is the tens digit of l?
6
Suppose 0 = -2*w + 2, -5*w + 69405 = -116*o + 120*o. What is the thousands digit of o?
7
Let z(g) = 14*g**2 + 35*g - 1938. What is the units digit of z(24)?
6
Suppose -405 = -4*q + 67. Let l = q - -263. What is the hundreds digit of l?
3
Let h(t) = -t**2 - 51*t + 46. Suppose 0 = 12*k + 411 - 171. What is the hundreds digit of h(k)?
6
Let i be -2