s digit of f?
6
Let k(m) = -m + 7. Let t be k(4). Suppose -t*o + 255 = 3*n, 0 = -2*o + n - 80 + 247. What is the units digit of 1/(-6) - (-98)/o?
1
Suppose -17278 - 63867 = -7*k - 22023. What is the thousands digit of k?
8
Suppose 0 = b - 3*b + 10. Let a be (b/(-20))/(2/(-24)). Suppose -5*f + 2*k + 370 = 0, -a*k = f + 16 - 73. What is the tens digit of f?
7
Let r(p) = 235*p**2 + 98*p + 999. What is the ten thousands digit of r(-11)?
2
Let z = -7416 + 11516. What is the thousands digit of z?
4
Suppose -d - 3*g + 24 = 0, -d - 3*g - 30 = -2*d. Suppose d*c - 33680 = -13*c. What is the tens digit of c?
4
Let u(f) be the third derivative of -97*f**4/24 + f**3/2 - f**2. Let b be u(-3). Suppose -12*i - b = -15*i. What is the tens digit of i?
9
Let t(h) = -15*h + 50. Let z be t(-6). What is the units digit of (-40)/z + (-1388)/(-7)?
8
Suppose -b = -85 + 82. Suppose 0 = -b*n - 2*u - 0*u + 1157, 2*n = -3*u + 773. What is the units digit of n?
5
Suppose 16355 = 6*d - 33001. What is the tens digit of d?
2
Let f = 2637 + -816. What is the thousands digit of f?
1
Let o = 49750 - 28656. What is the thousands digit of o?
1
Let s = -1397 + 2156. Suppose 0 = -43*f + 42*f + s. What is the hundreds digit of f?
7
Let z = -53084 - -384209. What is the thousands digit of 6/16 - z/(-200) - 4?
1
Let w(y) = -y**3 + 63*y**2 - 170*y + 349. What is the thousands digit of w(43)?
0
Suppose -84*i = -42*i - 586698. What is the hundreds digit of i?
9
Let x = -22403 - -63253. What is the units digit of x?
0
Let a = -12844 + 22075. What is the hundreds digit of a?
2
Let o be (-110551)/(-102) + (-15)/18. What is the hundreds digit of (5 - 14)*o/(-9)?
0
Let p = -5095 + 7643. Suppose 0 = -7*f + p - 98. What is the tens digit of f?
5
Suppose 147*b + 5775 = 152*b - 3*z, -5*z + 25 = 0. What is the units digit of b?
8
What is the ten thousands digit of (-112)/(-21)*(-2712696)/(-224)?
6
Let a = 5607 - -1273. Suppose -a = -31*f + 11*f. What is the hundreds digit of f?
3
Suppose 0 = -5*z - 11*k + 8*k - 774, -3*z = -2*k + 472. What is the hundreds digit of z/(-182) - 13582/(-14)?
9
Let s = -743 - -442. Let a = 151 - s. What is the tens digit of a?
5
Let m be ((-5)/((-25)/24))/(70/525). Suppose 0 = -m*y + 29*y + 2765. What is the units digit of y?
5
Let h(t) = 3*t**3 - t**2 - 55*t + 46. What is the thousands digit of h(15)?
9
Let t(x) = -4*x**3 - 3*x**2 - 3*x - 3. Let w be 3 + -2 + (3 - 7). Let c be t(w). Suppose 15*j - c = 14*j. What is the tens digit of j?
8
Suppose -j - 3*d + 47275 = 5282, 0 = -5*j + 4*d + 209984. What is the units digit of j?
6
Let t = -85 - -135. Suppose -t*n = -48*n - 134. What is the units digit of n?
7
Let u(s) = s**2 - s + 191. Let v be u(0). Let x(b) = -2*b**3 + 6*b**2 + 4*b - 9. Let o be x(-2). Suppose -22*f = -o*f + v. What is the units digit of f?
1
Let a(s) = -2010*s - 6744. What is the thousands digit of a(-19)?
1
Suppose 0 = 35*d - 33*d - 760. Suppose -5*v + d + 3980 = 0. What is the units digit of v?
2
Let w = -115 + 133. Suppose -w = -11*n + 180. Suppose n*s - 3024 = 4*s. What is the units digit of s?
6
Let u be 5 + (1 - 20/(-6))*-3. What is the hundreds digit of 997 + -2 - u/(-20)*5?
9
Let d be (-1 - -4 - 3366)*-1. Suppose 0 = 3*m - 6, m - d = -5*n + 1484. What is the hundreds digit of n?
9
Suppose -5*q = -9*q + 2*g, -4*q = 2*g. Suppose 3*c - 48*l - 1267 = -43*l, 4*c + 3*l - 1641 = q. What is the tens digit of c?
1
Let s(l) = -27*l - 42. Let c be s(-13). Let v = c + -133. Suppose -17 = t - v. What is the tens digit of t?
5
Suppose -8*m + 19 = 67. Let d(v) = -148*v - 81. What is the hundreds digit of d(m)?
8
Suppose 150 = 13*p - 292. Suppose 4*m - 2*m = 0. Suppose -p*t + 30*t + 932 = m. What is the hundreds digit of t?
2
Let z be (-20332)/(-6) - 8/(-6). Suppose -5*i + 6043 = k, -3*i + 2*k + 228 + z = 0. Suppose -12*p = -4*p - i. What is the hundreds digit of p?
1
Let s(h) = 1404*h**2 + 633*h - 3129. What is the units digit of s(5)?
6
Let a(x) = -x**2 + 150*x + 521. What is the units digit of a(89)?
0
Suppose 0 = 2*l + 10, -4*h + 5*h = 3*l + 51. Suppose 4*u + 4 = -j + 36, -2*j + h = 4*u. Suppose 4*v = u*v - 6. What is the units digit of v?
2
Let v(j) be the first derivative of 19*j**3/3 + 4*j**2 - 7*j - 12. Let d be v(-4). Let q = d - 176. What is the tens digit of q?
8
Let k(n) be the second derivative of 5*n**4/4 + n**3/2 + 7*n**2/2 - n. Suppose -5*s = -5*q - 30, -s - 25 = 5*q - 13. What is the tens digit of k(q)?
3
Let w be (12/(-30))/((7/(-10))/7). What is the tens digit of (1 + 2)*(w - 4774/(-21))?
9
What is the thousands digit of (-33206328)/(-2484) - (-2)/(-23)?
3
Suppose -20*u - 6 = -17*u. Let x be 35 - 12/(8/u). Suppose 0 = 9*z + x - 164. What is the tens digit of z?
1
Suppose o + 3 - 4 = 0, 5*o = 4*l + 257. Let z = l + 122. Let w = 104 - z. What is the units digit of w?
5
Let s be 2/(-11) - (-137598)/(-187). Let h = 1042 + s. What is the tens digit of h?
0
Suppose -3*l = -10*l + 756. Suppose 0 = -b + 3*k + l + 687, -3*b + k + 2377 = 0. What is the units digit of b?
2
Suppose -27*v + 64613 + 982707 = -455203. What is the tens digit of v?
4
Let o(r) = -283*r - 197. Let j be o(-6). Let l = -906 + j. What is the tens digit of l?
9
Let t = 6159 + -1900. Suppose -1507 = -6*z + t. What is the tens digit of z?
6
Let s be ((-6)/(-5))/(-2) - 112/(-20). Suppose -s*z + 1374 = z. Let f = z + -129. What is the hundreds digit of f?
1
Suppose -11*q + 120 = 9*q. Suppose 0 = -5*s + 2*s. Suppose s = -q*a + 1018 + 356. What is the units digit of a?
9
Let s(u) = 20*u**2 + 9*u + 49. Suppose 0 = -191*b + 190*b - 5. What is the tens digit of s(b)?
0
Suppose 5*l = -7 + 2. What is the tens digit of (-15)/(90/(-456)) - (l - 0)?
7
Let k be 4 + 142/3 - 4/(-6). Let q = k + -49. Suppose -f - 2*g = -7*g - 17, f - 25 = q*g. What is the tens digit of f?
3
Let k = 2514 - 141. What is the thousands digit of k?
2
Suppose -14 = -l - 9. Suppose 0 = -12*z - 6*z + 54. Suppose -4*f - f + 4*b + 422 = 0, l*b = -z*f + 231. What is the units digit of f?
2
Let c(t) = 50050*t**3 - t**2 - 9*t - 8. Let i be c(-1). What is the units digit of (2/(-5))/(26/i)?
0
Suppose 0 = 2*u + 17 - 5. Let n(l) be the third derivative of -19*l**4/24 + 41*l**3/6 - 1001*l**2. What is the units digit of n(u)?
5
Let u = -57 + 86. Let h = u + 3. Suppose 0 = -3*x - 5*y + 87 + h, -2*y - 124 = -4*x. What is the tens digit of x?
3
Suppose -p - 8437 = -q, -23*q + 24*q + 2*p = 8458. What is the tens digit of q?
4
Let l = -47 - -48. What is the hundreds digit of 2455/5 - l - 2/1?
4
Let u = -91629 + 153308. What is the units digit of u?
9
Let k = -961 - -8164. What is the thousands digit of k?
7
Suppose 4*s - 1093 = 5419. What is the thousands digit of s?
1
Suppose 2*a - 1 = -13. Let r be a + (6/33 - (-18)/22). Let b(o) = -36*o + 25. What is the tens digit of b(r)?
0
Let n(q) = -59*q - 14. Let w be n(-9). Suppose 0 = 5*p + 3*a - 1822, -219 - w = -2*p - 3*a. Let v = p + -225. What is the hundreds digit of v?
1
Suppose 15 = 3*l + 3*k, 3*k = -5*l - 0*k + 29. Suppose -l*r + 3*r + 4*i + 504 = 0, -r - 3*i = -130. What is the tens digit of r?
2
Let q(p) = -27*p + 1. Let i(m) = 52*m - 4. Let d(j) = -4*i(j) - 9*q(j). What is the hundreds digit of d(3)?
1
Suppose -p + 3*x = 212, -7*p + 12*p + 1082 = 4*x. Let s = 1294 + p. What is the tens digit of s?
7
Suppose 2*m + 8 = 0, -2*n + 2933 + 731 = 4*m. What is the hundreds digit of n?
8
Let l(t) = -4620*t + 2. Let b(h) = 1. Let c(w) = 2*b(w) + l(w). Let u be c(-2). What is the hundreds digit of u/36 - (-8)/36?
2
Let o(l) be the first derivative of -48*l**2 - 2*l - 9. Let c be o(-1). Let i = -67 + c. What is the tens digit of i?
2
Suppose 476*f - 25921154 = -2748365 + 10452327. What is the tens digit of f?
4
Let r(x) = -25*x + 13. Let h be r(3). Let z = -63 - h. What is the tens digit of (333/(-4) - 2/(-8))/z?
8
Suppose 0 = 11*c - 7*c - 1076. Let z = 538 - c. What is the tens digit of z?
6
Let i(x) = -3*x**3 - 4*x**2 - 3*x - 5. Let r be i(-3). Suppose -65208 = -17*a - r*a. What is the hundreds digit of a?
9
Let a(x) = -15*x - 47. Let u(w) = 15*w + 47. Let f(t) = 5*a(t) + 6*u(t). Suppose 115*i = 19*i + 1248. What is the tens digit of f(i)?
4
Let c be 25 + (21/(-9) - (-6)/(-9)). What is the hundreds digit of 3144/96*(1 - c/(-2))?
3
Let s(o) = 558*o - 6086. What is the tens digit of s(87)?
6