se -21*i = -71 - 13. Suppose -4*t + 7*t = -i*s + 4617, 2*s - 2315 = 5*t. What is the units digit of s?
5
Let c = 100 - 97. What is the tens digit of ((-28)/(-12) - c)/((-1)/417)?
7
Let z(h) be the third derivative of -427*h**6/120 - h**5/60 - h**4/12 - 117*h**2 + 1. What is the units digit of z(-1)?
8
Suppose -38*g + 147940 = -276178. What is the hundreds digit of g?
1
What is the thousands digit of (273/65)/(6/49420)?
4
Suppose o - 49576 = -2*b - 2293, -4*b + 94581 = 5*o. What is the tens digit of b?
3
Let y = -3 + 7. Suppose y*v - 87 - 65 = 0. Suppose -24*j = -25*j + v. What is the units digit of j?
8
Let x be -3 + 433 + 4/2. Let y = -12 - -17. What is the units digit of x/20 - (-2)/y?
2
Let b = -13824 - -65175. What is the hundreds digit of b?
3
Suppose -17*t + 20*t + 2*j = 17474, -3*j - 11658 = -2*t. What is the tens digit of t?
2
Suppose -k + a + 6064 = 0, -3 - 3 = 3*a. What is the thousands digit of k?
6
Let j(o) be the third derivative of o**6/120 - o**5/20 + o**4/3 - 4*o**3/3 - 9*o**2. Let b be j(7). Let x = b - 130. What is the tens digit of x?
1
Suppose -4*y = -7*y - 4*k - 62, 3*y - 4*k + 22 = 0. What is the tens digit of (-1 - -7) + (473 - y)?
9
Let l(b) = b**3 - 14*b**2 + 4*b - 14. Let h be l(14). Suppose 40*r = h*r. Suppose r = -3*o + a - 3*a + 106, 4*o - a = 123. What is the units digit of o?
2
Let j(v) = 6*v - 8. Let c be j(0). Let g(p) = -p**3 - 2*p**2 + 5*p + 13. What is the tens digit of g(c)?
5
Let c(b) = b**2 - 46*b + 222. Let k be c(42). Let j(g) = 35*g - 357. What is the units digit of j(k)?
3
Suppose 3*k = 11 + 7. What is the hundreds digit of ((-1981)/(-21) + -2)*k?
5
Suppose -4*d + d - 45 = 0. Let z(y) = y**3 + 17*y**2 + 13*y + 33. Let k be z(d). Suppose 3*v - k = 2*l, 4*v - 3*l - 166 = 217. What is the tens digit of v?
9
Suppose 12 = -59*l + 61*l. Let q(h) = 2*h**3 - 11*h**2 + 13*h - 30. What is the tens digit of q(l)?
8
Let g(d) = 7*d**2 + 21*d + 146. What is the hundreds digit of g(24)?
6
Suppose -b = -3*p - 602, 2*b = 2*p + 57 + 1155. Suppose -4*k - 6 = -4*q + 2, 0 = k - 2*q + 1. What is the tens digit of b/12*k/(-2)?
7
Let o(r) = 2284*r**2 + 4078*r + 2. What is the tens digit of o(-5)?
1
Suppose -221*d + 204*d + 167042 = 0. What is the thousands digit of d?
9
Let t be 16/3 - 40/(-60). Suppose -t = -3*i, -4*d + 4*i + 136 = -2056. What is the units digit of d?
0
Let w = 10787 - 6592. What is the thousands digit of w?
4
Let j(d) = 156*d**2 - 78*d + 501. What is the hundreds digit of j(6)?
6
Let l(x) = 36*x - 27. Let o be l(-5). Let r = 10 - o. What is the units digit of r?
7
Let n(m) = 6*m**3 - 2*m - 1. Let r be n(-1). Let a be -11*((r + 3)/(-2))/1. Let x(t) = -t**3 - 10*t**2 + 4*t + 19. What is the tens digit of x(a)?
9
Suppose -q = 1067 + 873. Let x = -1366 - q. What is the units digit of x?
4
Suppose 0 = 11*g - 22 - 44. Suppose -g*n = -4*n. Suppose -3*f + 18 = -4*u - 0*u, -f - 4*u + 22 = n. What is the units digit of f?
0
Suppose 0 = -18*i + 22*i - 16. Suppose -3*m = -5*r - 2302, i*m + r = 3*m + 754. What is the hundreds digit of m?
7
Suppose 8*l + 45 + 19 = 0. Let v be 4/(0 + 1) - 143. What is the units digit of v/((l + 3)/10)?
8
Let t = -336 + -1170. What is the units digit of (t/(-8))/((-78)/(-104))?
1
Let t = -142 + 251. Let h = t + -100. Suppose 0 = -15*s + h*s + 774. What is the hundreds digit of s?
1
Suppose 7*v - 14 - 28 = 0. Suppose -w - 2 = -0*w, 3*w + v = m. Let a = m + 92. What is the tens digit of a?
9
Let y(c) = 42*c + 5. Let l = 26 - 29. Let d be (10 - 1)/3 - (l - -4). What is the units digit of y(d)?
9
Suppose 4*x = i + 86682, 0 = x + 3*i - 22636 + 972. What is the thousands digit of x?
1
Let h = 20901 - 6618. What is the thousands digit of h?
4
Let r(b) = 2*b**3 - 20*b**2 + b - 3. Let k be r(10). Suppose 5*v = -3*y + 257, -k*y = -2*y + v - 465. What is the tens digit of y?
9
Suppose -6*d + 88854 = -3*n, -22*n + 17*n = d - 14798. What is the ten thousands digit of d?
1
Let o be -1*0*(-6)/48. Suppose -x = -3*h + 3*x + 1994, h + x - 660 = o. What is the units digit of h?
2
Let k = 282 - 153. Let g = 227 - 32. Let p = g - k. What is the tens digit of p?
6
Let u(d) = 28*d**3 + 8*d**2 - 55*d + 254. What is the units digit of u(7)?
5
Let g = -11872 + 18749. What is the thousands digit of g?
6
Let k(h) = -65*h - 6. Let a(i) = -194*i - 17. Let u(m) = m**2 + 4*m - 4. Let x be u(0). Let g(z) = x*a(z) + 11*k(z). What is the units digit of g(2)?
4
Let y = -59 + 68. Suppose 5*h - 5 = 5. What is the units digit of (30 - y)*6/h?
3
Let v = -17506 + 43481. What is the units digit of v?
5
Let f = -27819 + 43928. What is the thousands digit of f?
6
Let y(t) = -16*t + 21. Let k be y(10). Let d = k + 141. Suppose 6 = -d*i + 8, 2*i = 2*f - 212. What is the units digit of f?
7
Let n(i) = i - 3. Suppose 0 = -2*t - 5*j + 28, -j + 2*j = -2*t + 28. Let f be n(t). Suppose -26 = -2*s + 3*l + 15, 2*s - f = -3*l. What is the tens digit of s?
1
Let x(d) be the third derivative of d**5/60 - d**4/24 + 179*d**3/3 + d**2 + 4. What is the hundreds digit of x(0)?
3
Suppose s = -2*j - 3*j + 32, 2*s - 80 = -2*j. Let r = s + -32. What is the tens digit of ((-2)/(-3))/(r/2160)?
4
Let n = 21686 + 3354. What is the ten thousands digit of n?
2
Let f(g) = -g + 2. Let m(h) = -2*h. Let v(k) = -f(k) - 2*m(k). Let s be v(-13). Let t = s + 142. What is the units digit of t?
5
Let h = 115753 - 56206. What is the thousands digit of h?
9
Suppose 0 = 4*g - 0*g - 380. Suppose 3*b + 13*m = 12*m + 88, 5*b + 10*m = 130. Let r = b + g. What is the hundreds digit of r?
1
Let c(g) = -3*g**2 - 18*g + 18. Let f be c(-8). What is the units digit of 300 - 30/(f/6)?
6
Suppose 3*i = 208*t - 213*t + 5817, 4*t - 5814 = -3*i. What is the tens digit of i?
3
Let n = -109 - -109. Suppose 0 = 5*m - 5*b - 590, -7*m + 4*m + 5*b + 346 = n. Let r = 189 - m. What is the units digit of r?
7
Let v(y) = -235*y**3 - 3*y**2 - 30*y - 103. What is the thousands digit of v(-3)?
6
Let f be (-9)/12*(1 + -10 + -3). Suppose -f*w - 18 = -15*w. Let k = 15 - w. What is the tens digit of k?
1
Let o(f) = -8*f + 41. Let d be o(4). Suppose 3*v - 3*k = 3480, d*v - 14*v - k = -5806. What is the hundreds digit of v?
1
Let l = -18715 - -27339. What is the units digit of l?
4
Let l(x) = -4 + 2*x**2 + 4*x**2 - x + 0*x**2 - 4*x**2. Let k be l(2). Suppose -k*j + 179 = -j. What is the tens digit of j?
7
Suppose 5*y - x + 13 = 0, -5*y + 12*x - 22 = 8*x. What is the hundreds digit of -4 + (0 - -7) + (-1412)/y?
7
Suppose 25*w - 4622 = -5*n + 27*w, 3*w = -5*n + 4617. What is the tens digit of n?
2
Let r(b) = -b**3 - 16*b**2 - 8*b + 14. Let w be r(-17). Let c = 972 - w. What is the hundreds digit of c?
5
Suppose 0 = -186*t + 188*t + 6. What is the hundreds digit of (-1 + 0)/(t/849)?
2
Let a(l) = 3*l**2 - 290*l - 28. What is the hundreds digit of a(-22)?
8
Let v = -612 - -610. What is the thousands digit of v*(-982)/8*(-7 - -13)?
1
Suppose -35*s - 6 = -38*s. Suppose s*i - 26 = -4*m, -5*i + i + 2*m = -2. Suppose -4*a - i*b = -572 + 187, 2*a + 2*b = 190. What is the units digit of a?
0
Suppose -5*b + 17938 = 2*l, 21*b = 22*b + 4*l - 3584. Suppose -486 = -7*d + b. What is the units digit of d?
2
Let a(y) = 1260*y + 2258. What is the thousands digit of a(5)?
8
Suppose -16*y + 4*y + 89124 = -14376. What is the units digit of y?
5
Suppose 4*r + 5*d - 18 - 55 = 0, 0 = r + 3*d - 27. Let i(j) = -283*j**2 - 2 + r + 14*j + 282*j**2. What is the units digit of i(11)?
3
What is the thousands digit of (-2)/((-20)/960720*(-21)/(-7))?
2
Let g = -8781 - -19508. What is the ten thousands digit of g?
1
Suppose -3*m + s = -106, m - 2*m + s = -32. Suppose -m*x + 33*x - 384 = 0. What is the units digit of 21/((-50)/x - 4/12)?
2
Let g(x) = 54*x - 93*x + 100*x + 1. Suppose 7 = 2*i + 3. What is the tens digit of g(i)?
2
Let l(r) = 14*r**2 - 48*r - 355. What is the ten thousands digit of l(-30)?
1
Let c be 0/8 - (12 + (-3 - -1)). Let p(f) = f**3 + 11*f**2 + 11*f + 10. Let l be p(c). What is the tens digit of (207/(-4) - l)*(-8)/3?
3
Let k = 48971 + 17281. What is the thousands digit of k?
6
Suppose -5*a - 4*n + 78 = 0, 3*a - 60 = 8*n - 6*n. Let y be (-2)/(-6) + (-1)/(a/(-408)). Let j = y - -206. What is the hundreds digit of j?
2
Suppose 0 = -30*b + 46*b - 48. Suppose b*u - 6*z + 4*z = 1360, 1813 = 4*u - 3*z. What is the units dig