s the thousands digit of (-388)/((k/(-40))/(1/(-2)))?
1
Let c(k) = k**2 + 4*k + 9. Let q be c(9). Let j(s) = -23*s - 149. Let m be j(-20). Let o = m - q. What is the units digit of o?
5
Let s = -356 + 1161. Suppose -1323 - s = -8*g. What is the tens digit of g?
6
Let v(a) = 43*a**2 - 24*a + 138. What is the hundreds digit of v(12)?
0
Suppose 0 = 7*o - 2 - 5. Let t be 4 - 7 - (-7)/o. Suppose 0 = -m - t*m + 225. What is the units digit of m?
5
Let f(g) = 2 - 3 + 11*g + g**3 - 2*g**3 + 10*g**2. Let y be f(11). What is the units digit of 16/2*(-5)/y?
0
Let m(q) = 4*q**2 - 11*q + 495. What is the hundreds digit of m(-32)?
9
Suppose -10*t = -0 - 0. Suppose 0 = 2*x - 2, t = 3*o - 8*o + 4*x + 1681. Let j = 521 - o. What is the hundreds digit of j?
1
Suppose -4*u + 677 = 5*b, -u - 10 = 4*u. Let z = -107 + b. Suppose z = 3*x + 12. What is the units digit of x?
6
Let r(m) = -m**2 + 24*m. Let p be r(24). Suppose y - 121 - 629 = -3*k, p = -4*k + 4*y + 984. What is the units digit of k?
9
Suppose -4*i - 3*t - 431 = -9*i, -3*i + 245 = 5*t. Suppose 0 = 3*y - 44 - i. Suppose y = -3*b - 3*v + 178, 0 = -2*b - 4*v + 88. What is the tens digit of b?
4
Let q = 6139 + -4341. Suppose -9*u - 34 + q = 0. What is the hundreds digit of u?
1
Let m be -2*2/4 - 50. Let x = m - -118. Suppose -2*a = 3*s - 147, -2*s + 2*a + x = -21. What is the tens digit of s?
4
Suppose 3*h - 87 = -k + 25, -4*h = -5*k + 484. Let r be 74/(-1)*k/(-8). What is the tens digit of r/15 - (-2)/6?
6
Let c(y) = -y**2 - 10*y + 15. Let h be c(-10). Let a(z) = 2*z**2 - 31*z + 15. Let p be a(h). Let k(r) = -r**2 + 2*r + 66. What is the tens digit of k(p)?
6
Let n = 30269 + -24373. What is the tens digit of n?
9
Suppose 21 = 3*h + 9. Suppose w + 180 = -8*m + 9*m, -h*w - 905 = -5*m. What is the units digit of m?
5
Let o(k) = 5*k**2 + 9*k + 8. Let f be o(-1). Suppose 9*i - 6*i + 303 = 3*m, -f*i - 299 = -3*m. What is the units digit of m?
5
Suppose -154*h + 457 = j - 157*h, -4*h = -3*j + 1391. What is the units digit of j?
9
Let k(b) = -22544*b + 119. What is the tens digit of k(-2)?
0
Suppose -g - 1610 = -5027. What is the hundreds digit of g?
4
Suppose -v - 4 + 37 = 0. Let h = v + -47. Let x = 66 - h. What is the tens digit of x?
8
What is the hundreds digit of (-3688124)/(-198) + 0 - 2/(-18)?
6
Suppose y + 5*v = 25, 5*y - 3*v - v = 9. Suppose 2*g + 4128 = 3*k, y*k - 629 - 5563 = 3*g. What is the hundreds digit of (g/(-80))/(2/10)?
1
Let t(n) = n**3 + 6*n**2 + 10*n + 17. Let o be t(-5). Let l(k) = -k**3 - 10*k**2 - 15*k + 2. Let f be l(o). Let b = f - -19. What is the units digit of b?
3
Suppose 2 = -2*k, k + 821 = -5*t + 6570. Suppose 5*f - t - 2495 = 0. What is the tens digit of f?
2
Suppose a = 4*v - 35805, -3*v + 5*a + 26164 + 694 = 0. What is the thousands digit of v?
8
Let o(z) = 12032*z**2 - 13*z - 2. What is the units digit of o(-1)?
3
Let m = 27 - 22. Suppose -2*u = m - 3, -1205 = -5*b + 5*u. Suppose b = 4*r - 4*a, -2*a + 5*a = 0. What is the units digit of r?
0
Suppose -61 - 4 = -5*p - 5*t, t + 23 = p. Let a be (-48)/p*9/2. What is the units digit of (-1036)/a - 1/3?
6
Suppose -2*x = -3*x + 2. Suppose -69 = -5*u + x*u. Suppose 0*j - u = -j. What is the units digit of j?
3
Let k(i) = 37*i + 169. Let x be k(19). Let z = 1770 - x. What is the units digit of z?
8
Suppose 47598 - 4652 = t - y, -128841 = -3*t + 4*y. What is the ten thousands digit of t?
4
Let h = -1116 + 701. Let a = h - -1181. What is the hundreds digit of a?
7
Let k(w) be the second derivative of w**4/6 + 4*w**3 + 28*w**2 + w. Suppose 5*i + 3*q - 65 = -163, i + 28 = -2*q. What is the units digit of k(i)?
4
Let r(w) = -2*w**3 + 7*w**2 + 22*w + 199. What is the units digit of r(-7)?
4
Suppose 0 = 6*p - 2*p - 8. Let s(g) be the third derivative of 5*g**4/3 - 7*g**3/6 + 161*g**2. What is the units digit of s(p)?
3
Let z = 16746 + -12966. What is the tens digit of z?
8
What is the hundreds digit of ((-631788)/357)/((-4)/14)?
1
Suppose 5*x - 243 + 273 = 0. What is the units digit of 1015*(-16)/24*x/10?
6
Suppose -17*h + 47*h - 1290184 = -479584. What is the thousands digit of h?
7
Suppose b + 5*b = -432. What is the tens digit of (544/64)/((-2)/b)?
0
Let v(f) = -f**2 - 10*f + 6. Let g be v(-10). Let r be ((-144)/10)/(g/255*-1). Suppose -6*q + r = 3*q. What is the tens digit of q?
6
Suppose -16*a + 13*a + 57132 = -4*c, 0 = -a - 2*c + 19064. What is the tens digit of a?
5
Suppose 4*d - 26599 = 3*k, -5*d + 33240 = -3*k + 8*k. What is the thousands digit of d?
6
Let b(c) = -13*c**2 - 595*c + 134. What is the units digit of b(-30)?
4
Let p(q) be the third derivative of -7*q**4/12 + 3*q**3 + q**2. Suppose -8*t + 11*t - 2*a = -10, -2*a + 16 = -4*t. What is the hundreds digit of p(t)?
1
Let i = 27 + -25. Suppose -i*z = -t - 180, -5*z + 0*t = 3*t - 428. Let u = z - -3. What is the units digit of u?
1
Suppose -748*z + 31252 = -918*z + 4153582. What is the thousands digit of z?
4
What is the hundreds digit of ((-42894)/72)/(3/(-12)) + -4?
3
Let p(a) = -a**2 - 18*a + 21. Let w = 46 + -65. Let q be p(w). Suppose 178 = -q*v + 4*v. What is the tens digit of v?
8
Suppose 3*x = -5*o + 46598, -o + 265 - 261 = 0. What is the ten thousands digit of x?
1
Let r = -4 - -8. Suppose 183 = r*w - 21. Let j = -33 + w. What is the units digit of j?
8
Suppose -p = 4*y - 14, 5*y + 3 = 28. Suppose -4*g + 12 = -0*g, 2*m - 4*g = 0. What is the tens digit of 74/m - 4/p?
1
Suppose 0 = s + 4*a - 10, 2*s - 4*a - 40 = -7*a. Let m be (60/(-14))/(4/(-28)). Suppose s*g = m*g - 400. What is the tens digit of g?
0
Let q(r) = 2*r**2 - 22*r - 220. Let o be q(-19). Let v = o - 122. What is the hundreds digit of v?
7
What is the ten thousands digit of 80/600 + 18181696/330 + (-24)/132?
5
Suppose 10*c - 323923 - 168079 = -4*c. What is the ten thousands digit of c?
3
Let h = 9370 + 12720. What is the tens digit of h?
9
Suppose 5*w = i + 30930 + 29885, -3*w + i = -36491. What is the ten thousands digit of w?
1
Suppose 145331 = 36*q - 30*q + 13*q. What is the thousands digit of q?
7
Let m(l) be the third derivative of l**5/20 - l**4/8 - 4*l**3/3 - 3*l**2. Suppose -4*j - 2*n + 20 = 0, -4*j + 3*j + n + 2 = 0. What is the tens digit of m(j)?
2
Suppose 3*r = 124 - 4. Suppose -r*a + 9367 = -25673. What is the units digit of a?
6
Let f(o) = -o**2 - 10*o - 9. Let h(n) = 5*n**2 + 41*n + 37. Suppose -5*m - 45 = -0*m. Let q(g) = m*f(g) - 2*h(g). What is the units digit of q(7)?
4
Let s(z) = 62*z**3 + 2*z**2 - 1. Let u(d) = -8*d + 45. Let b(j) = -2*j + 11. Let o(q) = -9*b(q) + 2*u(q). Let k be o(5). What is the tens digit of s(k)?
6
Suppose -4515929 = -405*n + 11065806 + 7237990. What is the thousands digit of n?
6
Let y(a) = -a**3 - 5*a**2 + 2*a + 10. Suppose -8*j = -4*j + 20. Let p be y(j). What is the units digit of (-1 + 0)/((-5)/145 + p)?
9
Let r = -261 + 315. Suppose 0 = r*l - 41*l - 12350. What is the tens digit of l?
5
Let m(n) be the third derivative of n**6/120 - n**5/5 - 7*n**4/12 - 13*n**3/6 + 14*n**2. Let b be m(13). Let s = b - -36. What is the units digit of s?
0
Let y = -24 + 29. Suppose 0*f = -y*f + 15. What is the units digit of 19 + -6 + 3 + f?
9
Suppose 4*g = 5*n - 215718, -4*n - g + 172572 = -3*g. What is the thousands digit of n?
3
Let n(w) = 291*w**3 + w**2 - 15*w + 24. What is the units digit of n(3)?
5
Let a(u) = 378*u**2 - 6*u + 21. What is the thousands digit of a(-4)?
6
Let h(z) = -36*z**2 + 748*z - 3. What is the hundreds digit of h(10)?
8
Suppose 0 = 4*r - 39 + 35. What is the tens digit of (r + 0 - (-4 - -1)) + 432?
3
Suppose -53*s - 1378 = -2*m - 50*s, 3*m - 4*s = 2065. Let w = 1294 - m. What is the units digit of w?
1
What is the thousands digit of 15 + (-196)/7 + 7606?
7
Let g = -388 - -160. Let h = -17 - g. Let m = 382 - h. What is the hundreds digit of m?
1
Let t = 5160 - -7427. What is the hundreds digit of t?
5
Suppose 2*o + 3*l = -12 + 35, -4*o = 2*l - 26. Let j be 8 - 9/(45/(-1930)). Suppose 3*h + o*m - 306 = m, j = 4*h - 3*m. What is the tens digit of h?
0
Let g = 22 + -19. Suppose -g*o + 4*u = 471, 5*o - o = 5*u - 628. What is the units digit of o*(-3 + 2)/1 + 2?
9
Let d be 43 + -41 + (-132)/(-2) + 0. Let x = d + 625. What is the units digit of x?
3
Let d = 42 - 28. Let y be (-4)/(-4)*2*1. What is the units digit of (d + -10)/(y/4)?
8
Suppose -4*y = w - 87