12. Let o be l(-9). Let y be 1/4 - o/52. Suppose 3*q = -2*m + 286, -4*m + y = 2*q - 7*q. What is the tens digit of m?
4
Suppose -12*w = -17*w - 2*b + 272, -56 = -w - 2*b. Let g = -52 + 109. Suppose 0 = -g*j + w*j + 459. What is the tens digit of j?
5
Suppose 4*w + 14 = -2*r, 5*r + 5 = -0*w - 5*w. Let l(h) = 3*h + 14. Let n be l(w). What is the tens digit of 66/n*(-5 - -3)?
3
Suppose -3*x + 4*g = -57, 2*g + 3*g = -2*x + 38. Suppose x*j - 6798 = 8*j. Suppose -12*w + 834 + j = 0. What is the hundreds digit of w?
1
Let u(q) = 40*q**2 + 8*q + 24. Let p be u(-4). Suppose -p = -i + 402. What is the hundreds digit of i?
0
Let j = 36 + -21. Suppose 3*c = 1021 + 209. Suppose -j*y + 20*y - c = 0. What is the units digit of y?
2
What is the units digit of (-5)/(-3) + (27388/12 - -14)?
8
Suppose 0 = -9*r + 26 + 10. Suppose 9 + 19 = 4*m - 3*a, -r*m - 2*a = -8. What is the units digit of (1*-57)/(-5 + m)?
7
Let l(w) be the first derivative of -85*w**2 + 6*w - 208. Suppose 0*c = -3*n - 2*c + 7, 0 = 3*c - 15. What is the hundreds digit of l(n)?
1
Let h be (-4)/8*(2 + 1 + -3). Suppose -3*s + 4*l + 458 = h, -4*l + 2*l = 4*s - 640. What is the units digit of s?
8
Let q(p) = 6533*p**2 - 37*p + 38. What is the thousands digit of q(1)?
6
Suppose 21*w - 61 - 2 = 0. Suppose w*l + 5*b - 3543 = -397, -5202 = -5*l + 2*b. What is the thousands digit of l?
1
Suppose 0 = 5*v + o - 281976, 318*o + 225600 = 4*v + 314*o. What is the hundreds digit of v?
3
Suppose 8408593 - 2177604 = 1175*d - 1078*d. What is the thousands digit of d?
4
Let f(o) = -264*o - 1435. What is the thousands digit of f(-14)?
2
Suppose 2*w + 10*w = -4*w + 13008. What is the units digit of w?
3
Let o = -46 - -45. Let v be 905/20 - o/(-4). What is the units digit of 10/v - 1328/(-18)?
4
Suppose -4*a + 143806 = 59*j - 57*j, 45 = -5*j. What is the thousands digit of a?
5
Suppose 5*q - 8 = 6*q + 4*n, n - 1 = 0. Suppose -3*m + 8 + 31 = 0. What is the tens digit of m*7 + (-9 - q)?
9
Suppose 0 = -4*f + 16, 4*b - f - f + 8 = 0. Suppose 0 = -g + 5*d + 49, b*d - 4*d = -g + 48. Suppose 41*r = g*r - 336. What is the hundreds digit of r?
1
Let h(a) = a**2 + 6*a - 12. Let u be h(-8). Suppose -u*o + 2 = -6, -j = -3*o + 3. Suppose 3*c + l + 4*l = 51, -4*l = -j*c + 78. What is the units digit of c?
2
Suppose 3*i + 100 = -i + a, -a = 3*i + 82. Let z = 56 + i. What is the units digit of z?
0
Let j = -353 - -358. Suppose j*v = 4*k - 2895, -37*v + 39*v = -6. What is the units digit of k?
0
Suppose -5*n - 57 = -3*m, n = -3*n + 12. Suppose f + 20 = m. What is the tens digit of f*(4/26 + (-6572)/(-208))?
2
Let d = 98 + -152. Let q = 0 + d. What is the units digit of (-66)/(-9)*q/(-4)?
9
Suppose -22 = 5*p - 2, 4*p - 36564 = -5*c. What is the hundreds digit of c?
3
Let o(y) = -y + 5. Let x be o(-1). Suppose 521 = c - x. Suppose c = 7*p - 124. What is the tens digit of p?
9
Let g(i) = -i**3 + 29*i**2 - 28*i + 22. Let b be g(28). Suppose 0 = -32*o + b*o + 2290. What is the units digit of o?
9
Let i be -1 + 127 + (-14)/(-7). Suppose -23 + i = 7*q. What is the tens digit of 20/q + (-699)/(-9)?
7
Let r(c) = -c**3 + 11*c**2 - 4*c - 19. Let l be ((-3)/(-3))/(4/40). Let q be r(l). What is the hundreds digit of -50*q/(-14) - (-56)/98?
1
Suppose 2*q - 576 = -2*g - 0*g, 0 = -2*q + g + 564. Let d = 77 - q. Let t = d + 326. What is the tens digit of t?
1
Suppose 3*n + 3*x = 903, 4*n + 4*x - 1211 = 7*x. Suppose 2*g = p + p + n, -3*g - 4*p + 439 = 0. What is the units digit of g?
9
Let q(d) = -4*d + 31. Let o be q(7). Suppose -1320 = -2*x - 4*a, -3*a - 612 = o*x - 2586. What is the units digit of x?
6
Let q be (4/4)/(3/(5 - -2458)). Let t = -426 + q. What is the units digit of t?
5
Let f = 229 + -396. Let x be (-1)/(2/4 - 1) + -73. Let j = x - f. What is the units digit of j?
6
Let z(u) = 75*u**3 + 2*u**2 + 5*u + 2. Let i be z(-2). Let a be 8/(i/(-1435)) + (-4)/30. Suppose a*k = 20*k - 100. What is the hundreds digit of k?
1
Let p(k) = -55*k + 37. Let v be (10/(-8))/((-35)/20 - -2). What is the units digit of p(v)?
2
What is the units digit of 28/6*3636/(-8*28/(-32))?
4
Let d = -292 - -4861. What is the tens digit of d?
6
Let n(y) = -2*y**3 + 11*y**2 + 11*y + 4. Let w be n(-11). Suppose -8*d = 4*d - w. What is the units digit of d?
3
Let q(h) = 20*h**2 - 2*h + 4. Suppose -5*v = -2*t - 16, 0*v = -2*v + 4*t + 16. Let n be q(v). Let z = n + 21. What is the units digit of z?
1
Suppose -7797 = 12*b + 13275. What is the units digit of 20/15 + b/(-6)?
4
Let l be (-1)/(5/(-15))*(-2189)/(-3). Suppose -6*o + o + l = -4*u, 4*o - 3*u = 1752. Suppose 0 = -11*v + o + 43. What is the tens digit of v?
4
Let z(l) = -425*l**3 - 8*l**2 + 16*l + 114. What is the units digit of z(-5)?
9
Suppose -4*t - 22872 + 6275 = -9*m, 0 = t - 2. What is the tens digit of m?
4
Let o(g) = g**2 - g - 59. Let n be o(-10). Let p = n - -467. What is the tens digit of p?
1
Let i(v) = 251*v + 20. Let z(c) = 754*c + 58. Let s(q) = -7*i(q) + 2*z(q). What is the units digit of s(-2)?
4
Suppose -24*q + 29601 = 75*q. Let t = -8 + 9. Suppose t = j - q. What is the tens digit of j?
0
Let j(t) = t**3 - 6*t**2 - 8*t + 13. Let d be j(7). Suppose 3*y - 1538 = -5*i, d*y + 1537 = 5*i + 8*y. What is the units digit of i?
7
Let t(v) = -7*v + 166. Let q be t(23). Suppose q*j + 44 - 1434 = 0. What is the hundreds digit of j?
2
Suppose 3*r + 29731 = 4*x + x, 5*r = 4*x - 23777. What is the thousands digit of x?
5
Suppose 34*c = 38*c + 16. What is the hundreds digit of 12 + c + (382 - -6)?
3
Let l be 2/3*(3 - 18). Let n(q) = -q**3 - 17*q**2 - 62*q - 1424. Let r be n(-18). What is the units digit of (-2106)/(-15) - (r/l)/(-4)?
0
What is the units digit of (((-72200)/19)/25)/(2/(-4))?
4
Suppose 5*h - 9278 = -2*s + 39979, 0 = -s + 2*h + 24597. What is the hundreds digit of s?
6
Suppose -58*p + 61*p - 5432 = -5*b, -2*b = 2*p - 2168. What is the units digit of b?
0
Suppose r - 1 = 0, 12*r - 7*r + 88095 = 5*z. What is the thousands digit of z?
7
Let o(c) = -45*c**3 - 5*c**2 + 12*c + 26. What is the tens digit of o(-5)?
6
What is the tens digit of (12012 + -7)*((-1)/3)/((-45)/54)?
0
Suppose 9 = -2*c + 4*d + 25, 0 = c - 4*d - 14. Suppose c*p - 3*v - 2548 = 0, -p - v = -4*v - 1271. What is the thousands digit of p?
1
Let b = -593 + 1602. Let g = b - 572. What is the tens digit of g?
3
Let f(d) be the second derivative of 323*d**3/6 - 67*d**2/2 + 38*d - 2. What is the hundreds digit of f(3)?
9
Let y = -89 - -141. Let c = 450 - y. What is the units digit of c?
8
Let f(w) = 188*w - 1816. What is the hundreds digit of f(37)?
1
Let u(w) = 150*w - 11. Let j be u(12). Suppose -741 = 10*x + j. Let m = 381 + x. What is the units digit of m?
8
Suppose -5*q - 49 = -z, 3*q - q - 2*z + 26 = 0. Let o be 275 - q/(-15)*30/9. What is the hundreds digit of (12/(-9))/((-2)/o)?
1
Suppose z = 3*z + 5*w - 31, -3*w + 3 = -4*z. Let m be 342 + -3 + z/1. Suppose 0 = -3*q + 5*a + m, -a = 3*a. What is the hundreds digit of q?
1
Let s(v) = v**3 - 9*v**2 + 7*v + 13. Let d be s(8). Let x be -5 + -12174 - (-4 + d). What is the units digit of 3/5 + x/(-75)?
3
Suppose -61*m - 107*m = -2076144. What is the ten thousands digit of m?
1
Suppose 4*a + 40*w = 39*w + 12848, -3*w = 2*a - 6424. Let g = a - 1560. What is the tens digit of g?
5
Let u be 0/(-2)*(0 + 1/1). Suppose -11*l + 17*l - 636 = u. What is the hundreds digit of l?
1
Let q(i) = 4*i - 1. Let f be q(6). Suppose -z + 5*s - f = 0, -3*z = -5*z + 5*s - 21. Suppose -z*j + j + 7 = 0. What is the units digit of j?
7
Let v(w) = -41*w + 120*w + 90*w**2 - 45*w + 5 - 43*w. What is the tens digit of v(2)?
4
What is the units digit of 25 + 1/(3*(-6)/126)?
8
Let x(j) = j**3 + 32*j**2 + 118*j - 88. What is the tens digit of x(-25)?
3
Let b = 286 + -101. Suppose 68 - b = -13*f. What is the tens digit of 22*f + (5 - (7 - 6))?
0
Suppose 3*w + 12*a - 15*a - 163872 = 0, -3*a - 109253 = -2*w. What is the hundreds digit of w?
6
Suppose 0 = -4*k + 63*b - 68*b + 377247, 3*b + 15 = 0. What is the ten thousands digit of k?
9
Suppose -5*s - 3*p + 9793 = 0, 5*p - 1476 = 2*s - 5418. Suppose -4*m - 733 + 2288 = 3*x, 5*m - 2*x = s. What is the tens digit of m?
9
Let p be 6/7 - 157320/(-504). Let t = p - -306. What is the hundreds digit of t?
6
Suppose 5*p - 12 = 2*h + 5, 0 = 4*p + 5*h - 40. Let j(g) = 15*g**2 + 3*g +