f = n + -50. What is the units digit of w(f)?
4
Let y(f) = 16*f**2 + 2*f**2 + 109 + 35*f**2 + 3*f**3 + 67*f - 2*f**3. What is the tens digit of y(-51)?
9
Let d be (0*(4 + -5))/(2 + -1). What is the units digit of (-8 + d)/(3/(-24))?
4
Let k be 3 + -3 + 35/7 + -3. Suppose -k = 2*w, 24*h - 602 = 23*h + 4*w. What is the hundreds digit of h?
5
Let b(a) = 74*a**3 - 8*a**2 + 56*a - 11. What is the tens digit of b(4)?
2
Suppose -1021821 - 648325 = -105*h - 499291. What is the ten thousands digit of h?
1
What is the hundreds digit of ((-132)/88)/(2 - 4475/2236)?
1
Let y = 23678 - 5733. What is the units digit of y?
5
Let o be ((-372)/(-10))/3*5. Suppose -5*c + 15 = 190. Let y = c + o. What is the tens digit of y?
2
Let q = -9483 + 13990. What is the tens digit of q?
0
Let b = -34 + 116. Let u = -134 + b. What is the units digit of 582/8 + (-13)/u?
3
Let j = 593 - 581. Suppose -d = 4*k - 899, 8*k = 4*k - j. What is the tens digit of d?
1
Let r be 90/(-36)*28/(-10). What is the tens digit of ((-2)/r - (-112)/49) + 677?
7
Let w = 126815 + -81618. What is the ten thousands digit of w?
4
Suppose -y - 2 = -2*m - 6, 5*m + 10 = 5*y. What is the tens digit of 251 - (y + 6 + -3)?
4
Suppose -26*l = 40*l + 236097 - 900453. What is the thousands digit of l?
0
Suppose 2*j = 4*t - 186, 3*j = 8*t - 4*t - 185. Suppose 9*y - t*y = -1026. What is the units digit of y?
7
Let j = 36761 + 3438. What is the units digit of j?
9
Let c be (-1 + 0/2)*(17 - -6). Let t = 28 + c. Let h = t + 32. What is the tens digit of h?
3
Suppose 21*r = 2*r + 2432. Let j = 188 - r. What is the units digit of j?
0
Let m(c) = -c**3 - 9*c**2 + 16*c - 1. Let w be m(6). What is the hundreds digit of (0 + (0 - -5))*(-56782)/w?
6
Let k(z) be the third derivative of 0 - 14/3*z**3 + 22*z**2 + 0*z + 5/12*z**4. What is the tens digit of k(12)?
9
Suppose 2*p = 11*p - 198. Suppose 7*h + 7470 = p*h. What is the tens digit of h?
9
Suppose 17 = q - 4*a + 6, -a = 4*q - 10. Suppose -q*z + 0*z + 249 = 0. What is the units digit of z?
3
Suppose -9 = -2*t - t. Suppose -t*i + 564 = -132. Let d = -109 + i. What is the tens digit of d?
2
Suppose -4*a = v - 33802, -80*a + 4*v - 33784 = -84*a. What is the thousands digit of a?
8
What is the ten thousands digit of 16/(4/(-12) + (-460)/2751*-2)?
1
Suppose k = s - 2475 - 862, -s = 2*k - 3334. What is the thousands digit of s?
3
Suppose 105*g = 100*g - 10, -4*k + 34278 = 5*g. What is the thousands digit of k?
8
Let i = 17 - 5. Suppose -4*d = 4*n - 116 - i, 4*n = 4. Suppose 0 = 3*t - d - 302. What is the tens digit of t?
1
Suppose -7*x + 14*x - 21 = 0. Suppose -x*r = -r - 4. What is the hundreds digit of (-1)/r*(-564 + 10)?
2
Let v(b) = b**3 - 6*b**2. Let l be v(3). Let f = l + 35. Suppose -5*g = -f*g + 534. What is the units digit of g?
8
Let v = 713 + -670. Suppose -3*p + 1557 = -y, 39*y = v*y. What is the tens digit of p?
1
Suppose -6753*m + 27888 = -6746*m. What is the units digit of m?
4
Let k(p) = 3*p + 32. Let l be k(-10). Suppose -l*i = f - 264, -631 = -5*i - 3*f + 29. Suppose -9*q = -8*q - i. What is the tens digit of q?
3
Let g(b) = -21*b + 138. Let a be g(6). Suppose a*f = 6752 + 3616. What is the tens digit of f?
6
Suppose -65686 = 549*i - 551*i + 2*j, 0 = i + 5*j - 32867. What is the tens digit of i?
4
Let a = 31184 + -19221. What is the hundreds digit of a?
9
Let q be (-12)/(28/63*3/(-2882)). What is the tens digit of (-3)/8 - q/(-48)?
4
Suppose 3640 = 5*a + 5*y - 19605, -2*a = y - 9291. What is the thousands digit of a?
4
What is the tens digit of 107164/16 + 4 + (10 - 172/16)?
0
Let o(j) = 3*j + 5*j**2 + 5 + 106 + 55 + 153. What is the tens digit of o(0)?
1
Let k(b) = 23*b - 40. Let m be k(2). Suppose m*a = -7*a + 7917. What is the hundreds digit of a?
6
Let f(c) = 2 + 125*c + 93*c - 163*c - 5. Let s be f(1). Let h = s + 30. What is the units digit of h?
2
Suppose 14*d = 6*d + 72800. Suppose -16*l + 5636 + d = 0. What is the units digit of l?
1
Suppose 11592 = 84*g - 81*g. What is the units digit of g?
4
What is the tens digit of 681855/(-694)*2/(-6)*20?
5
Let v be ((-14)/6 - -3) + 13/3. Suppose -7*r - 4*f = -3*r - 964, 0 = v*f. What is the units digit of r?
1
Suppose -3*w + 1990 = -p, -24*p = -4*w - 23*p + 2652. Let h be -2*(-1)/(3 - 2). Suppose o = -4*o - 3*f + 1097, h*f + w = 3*o. What is the tens digit of o?
2
Let r(v) = 3*v**3 + 25*v**2 + 9*v + 9. Let o be r(-8). What is the tens digit of (7 + 2916/4)*o/2?
6
Let q be 4 + 2271 + 8 + 1. Let n = q + -895. What is the units digit of n?
9
Let v(d) be the second derivative of 11*d**2 + 0 - d - 1/6*d**3. What is the units digit of v(15)?
7
Let x = 21518 + -15154. What is the hundreds digit of x?
3
Let y be (-1 - -1)/(3 + -5). Let u be ((-2)/6 + y)/(1/(-3)). What is the units digit of ((-61)/(-2) + u)*4/3?
2
Suppose 141*g - 135675 = 1428156. What is the ten thousands digit of g?
1
Suppose -5*l + 15*l - 3450 = 0. Let a = -150 + l. What is the tens digit of a?
9
Suppose 18371 = 3*r - 2*g, -r + 30631 = 4*r + 3*g. What is the tens digit of r?
2
Let a(m) = -6*m - 23. Let h be a(-4). Let z(n) = 282*n - 10. What is the tens digit of z(h)?
7
Let x(c) be the second derivative of c**3 + 9*c**2/2 - 107*c. Let i = -11 + 20. What is the tens digit of x(i)?
6
Suppose -n - 5 = 4*o, 3*o + 5*n = -2*o - 25. What is the tens digit of o + 17765/20 + (-2)/8?
8
Let t(k) = -k**3 + 6*k**2 + 2*k + 11. Let u be t(12). Let n = u + 1275. What is the units digit of n?
6
Let k = 11904 + 4264. What is the thousands digit of k?
6
Let d be 22/(-77) + (-30)/(-7). Let r(x) = 7 + d*x - 1 + 16 - 17*x. What is the hundreds digit of r(-6)?
1
Let n(d) = 7*d**2 + 2*d + 3. Let y be (0 - -1)/(1/7). Suppose y*u - 4*u + 10 = l, -l = -u - 6. What is the tens digit of n(u)?
2
Let t(r) = -518*r + 154. Let u(a) = a - 4. Let g(o) = t(o) - 8*u(o). What is the units digit of g(-3)?
4
Suppose 5*p - z = 219479, -5*p + 64*z + 219483 = 62*z. What is the units digit of p?
5
Let d = -100 - -128. Suppose d*u - 31*u + 6 = 0. Suppose -u*c + 142 = 18. What is the tens digit of c?
6
What is the tens digit of (-570976)/(-48) + (-5)/15?
9
Let x = 173 + -169. Suppose 0 = x*c - 2*u - 1152, -838 = -5*c + u + 605. What is the tens digit of c?
8
Let b(r) = 3*r**2 + 81*r + 9. Let j be b(-27). Suppose 5398 = j*c + 1555. What is the hundreds digit of c?
4
Suppose 2*h - 2*j - 17116 = 0, 58*h - 61*h + 25686 = -5*j. What is the hundreds digit of h?
5
Let s(r) = -92*r**3 + 2*r**2 + 2*r + 6. Let a(j) = 183*j**3 - 4*j**2 - 2*j - 11. Let l(n) = 3*a(n) + 5*s(n). What is the units digit of l(1)?
8
Let w(h) = 9*h + 21. Let s be w(-2). Suppose -s*l - 2*b = b - 987, 1306 = 4*l - b. What is the hundreds digit of l?
3
Suppose -12*u + 4*u = -40. Suppose d - 594 = -2*h, -u*d + 3767 = -2*h + 809. What is the hundreds digit of d?
5
What is the units digit of 213/(-1065)*(-218915)/1?
3
Suppose 99*h - 217441 - 125721 = 82*h. What is the tens digit of h?
8
Let m(w) = -1899*w - 203. What is the tens digit of m(-18)?
7
Suppose 0 = 5*j + d - 171, -2*d - 62 = -2*j + 4. Suppose -j*u + 2031 = -2355. What is the tens digit of u?
2
Suppose -5*f = 2*w - 60 - 4509, w + 2*f - 2286 = 0. Suppose 26*o + 3*v - w = 23*o, 2298 = 3*o + 5*v. What is the units digit of o?
1
Let o(y) be the second derivative of -y**5/20 + 11*y**4/12 + 14*y**3/3 + 9*y**2/2 - 6*y - 2. What is the tens digit of o(12)?
0
Suppose 3*d + 2*v = 12 - 2, 4 = 2*d + 4*v. Suppose 2*o - d*j + j = -3, -3*j + 3 = -o. Suppose -f + 87 = -o. What is the units digit of f?
7
Let x(s) = -419*s**3 + 2*s**2 + 25*s + 24. Let l be 161/(-184) + 1/(-8). What is the tens digit of x(l)?
2
Let c(s) = -304*s**3 - 20*s**2 - 31*s + 17. Let u(o) = 152*o**3 + 10*o**2 + 14*o - 8. Let a(y) = 6*c(y) + 13*u(y). What is the thousands digit of a(2)?
1
Let v(k) = -28*k**3 + 4*k**2 - 25*k - 17. What is the tens digit of v(-7)?
5
Suppose -23*j = -20*j + 60*j - 323379. What is the thousands digit of j?
5
Suppose 0 = 46*h - 13999 - 3021. What is the hundreds digit of h?
3
Suppose 17005 = 52*k - 33*k. Suppose -k = -204*i + 199*i. What is the hundreds digit of i?
1
Let f(r) = -2*r**3 + 144*r**2 + 145*r - 442. What is the hundreds digit of f(70)?
3
Let m be (-1215)/36 - 1/4. Let s(g) = g**3 + 30*g**2 + 30*g - 20. Let i be s(-29). Let q = m - i. What is the units digit of q?
5
Let m(j)