se -128 = 2*y + 2*d + 3*d, 5*y = -3*d - 320. Let z = -3441 - -3324. Let a = y - z. What is the units digit of a?
3
Suppose 208721 - 266350 = -75*z + 509896. What is the thousands digit of z?
7
Let b = -43 + 56. Let y(t) = -2*t + 1. Let u be y(-5). Suppose -156 = u*z - b*z. What is the units digit of z?
8
Let p(a) be the second derivative of a**5/20 - 13*a**4/6 - 19*a**3/6 - 89*a**2/2 - a + 36. What is the units digit of p(27)?
7
Let v(p) = -p**2 + 9*p - 1. Let i be v(9). Let s be ((-14)/(-42))/(i/(-3)) - -307. Let y = s + -131. What is the tens digit of y?
7
Let q = -515 + 328. Let j = 610 + q. What is the units digit of j?
3
Suppose 0 = -5*y - 0*y - 4*f - 1128, -4*y + 3*f - 921 = 0. Let p be (-4)/(-10) + (-3464)/10. Let v = y - p. What is the units digit of v?
8
What is the ten thousands digit of (492 + -470)/(4/6418)?
3
Let f(y) be the third derivative of -y**4/6 + 7*y**3/6 + 18*y**2. Let c be f(5). What is the hundreds digit of (-3 + -17)*(-2 - c/(-4))?
1
Let g(n) = -3*n**3 + 3*n**2 - n - 2. Let t be g(2). Let o(d) = 10*d + 6. Let v be o(-4). Let q = t - v. What is the units digit of q?
8
Let u be (-2)/(-66)*3 + (-8742)/(-33). Let y = 58 + u. What is the units digit of y?
3
Let i(u) = -26*u - 6. Let r be i(-1). Suppose 0 = 4*m - r. Suppose 0 = -n + 2*o + 70, -182 - 153 = -5*n - m*o. What is the tens digit of n?
6
Suppose 5*m - t = 74, 0 = -5*m - 9*t + 4*t + 50. Let o(x) = x**3 - 4*x**2 - 45*x - 39. What is the thousands digit of o(m)?
1
Let u(c) = c**3 - 5*c**2 + 3*c - 1. Suppose 36 + 24 = 10*t. What is the tens digit of u(t)?
5
Let u(b) = 327*b**2 + 8*b + 1. Let r(m) = -m**2 + 27*m - 27. Let g be r(26). What is the tens digit of u(g)?
2
What is the hundreds digit of 58/(-3)*(-43245)/62?
4
Let d(t) = -533*t - 1413. What is the thousands digit of d(-44)?
2
Suppose 2*o = r - 8, -o + 26 = 4*r + 12. Suppose -17*d = -15*d - r*b - 2662, -5298 = -4*d - 5*b. What is the hundreds digit of d?
3
Let k(q) = 39*q**2 - 4*q - 2. Let l be k(-1). What is the units digit of ((-101)/2)/(l/(-410))?
5
Let x = 81 + -79. Suppose 0*b + x*b = -5*i + 80, b + 16 = i. What is the units digit of (-5)/(20/i) - -120?
6
Let n = -26343 + 67528. What is the units digit of n?
5
Let j be (-2)/(184/(-252) + 24/54). Suppose 5*r = -j*r + 19884. What is the tens digit of r?
5
Let t be ((-90)/(-24))/(3/684). What is the units digit of ((-138)/(-4))/(t/(-108) - -8)?
4
Let d(k) = k**3 + 11*k**2 + 7*k + 8. Let f(l) = -6*l**2 - 4*l - 4. Let p(o) = -3*d(o) - 5*f(o). Let t be p(-3). Let q = 58 + t. What is the tens digit of q?
1
Let q(h) = 123*h + 23. Let s be q(-6). Let o = -214 - s. What is the hundreds digit of o?
5
Let y(h) = 17*h**3 - h**2 + h - 41. What is the hundreds digit of y(5)?
0
Suppose 45*q = 46*q + 24. Let f be 6/q - (-49)/4. What is the tens digit of 658/f - 1/(-6)?
5
Let a(v) = 3*v + 24. Let k be a(0). Let y(g) = 26*g + 15 - 2 - g**2 + 48. What is the units digit of y(k)?
9
Suppose r = 3*l + 3608, -2*r + 1062 + 6176 = 5*l. What is the units digit of r?
4
Suppose -15*v = -134371 + 17206. What is the units digit of v?
1
What is the thousands digit of (8/6 - (-2350)/(-282)) + (-48188)/(-2)?
4
Let v(i) = i**3 - 3*i**2 - 2*i + 2. Let f be v(-1). Suppose 3235 = 5*c - h - f*h, 0 = 2*h + 10. What is the tens digit of c?
4
Let f(w) = -w**3 + 27*w**2 + 23*w + 63. Let v be ((-21)/42)/((-3)/162). What is the units digit of f(v)?
4
Suppose -39*a = -41*a - 14, -3*g + 42635 = a. What is the ten thousands digit of g?
1
Let i = 14 + -19. Let t = i - -106. What is the units digit of t?
1
What is the thousands digit of 5*-21*28/210*-1002?
4
Suppose 2374 = -15*z - 851. Let i = z - -297. What is the tens digit of i?
8
Let l = -19 + 14. Let a be ((-2)/l)/(0 - 1/(-5)). Suppose -s + 80 = -a*j, -4*s + 2*j - 6*j = -332. What is the units digit of s?
2
Suppose 4*d = -2*k + 166882, -310*d + 313*d - 6*k - 125229 = 0. What is the tens digit of d?
2
Let z(y) = y - 2. Let h be z(5). Suppose 0*j = h*j - 3. Let d(u) = 110*u**3. What is the tens digit of d(j)?
1
Let k = 11698 - 5626. What is the hundreds digit of k?
0
Let w(j) = 33*j**2 + 7*j + 34. Let z be w(9). Suppose 0 = 5*t + 4*g - z, -18*t - g - 2770 = -23*t. What is the units digit of t?
4
Suppose -32*j = -17579 - 27605. What is the hundreds digit of j?
4
Let z = -63 + 90. Suppose k = -5*q, -4*k + 3*q + z = 4. Suppose -k*b = -3*b - 342. What is the tens digit of b?
7
Suppose 20 = 4*s, -w = -4*w - 2*s - 893. Let z = w - -707. What is the tens digit of z?
0
Suppose r = 3*n - 8034, -r - 1 = 2. Suppose -4283 = -20*g + n. What is the hundreds digit of g?
3
Let m be 168/(-147) + 114/14. What is the units digit of (-168)/196 - (-4892)/m?
8
Suppose 3*q + 8825 = b + 3*b, 0 = -q + 5*b - 2949. Let f = 4698 + q. What is the units digit of f?
9
Let c be 5/40 + 487/8. Let t = 324 + c. What is the hundreds digit of t?
3
Let z = -1259 + 5710. What is the thousands digit of z?
4
Let t(r) = -r**3 + 18*r**2 - r + 29. Let i be t(18). Suppose 0 = -5*u - 2*n + 1302, 6 - i = -5*n. What is the tens digit of u?
6
What is the units digit of (12/(-72)*6 + -12)*-1613?
9
Let w(c) = -5 - 39 - 5*c - c - 2*c. Let y be w(-6). Suppose -y*m - 39 = -767. What is the units digit of m?
2
Let k(n) = -3656*n - 964. What is the thousands digit of k(-1)?
2
Let q(y) = -89*y**3 + 13*y - 17. What is the tens digit of q(-4)?
2
Suppose -5*h = c - 32, 4*c + 5*h - 10 = 43. Let i be (-1248)/39*(-58 - 2). Suppose 3*b - i = -c*b. What is the hundreds digit of b?
1
What is the hundreds digit of ((-146642)/152)/((-1)/12)?
5
What is the thousands digit of (-2)/5 - (915354/(-201))/((-5)/(-3))?
2
Suppose -f = -3*z + 143, 3*z - 106 = z - 2*f. Let r = z - 44. Suppose -20 = 4*p, r*p - 27 - 44 = -2*v. What is the tens digit of v?
4
Let n = 3438 + -3286. What is the units digit of n?
2
Let s be 6*2*1731/6. Suppose -25*m + s = -16513. What is the tens digit of m?
9
Suppose -4*a = 21 + 15. Let z = 34 + -28. What is the tens digit of z/(a/(-3)) - 4 - -56?
5
Let l(w) = 2*w - 37. Let n be l(6). Let r = n + 25. What is the units digit of (45/(-4) + r)*-12?
5
Suppose 0 = 17*v - 121191 + 19378. What is the thousands digit of v?
5
Suppose w = 2*z - 6, 8*z - 11*z - w + 19 = 0. Let v(b) = 0*b + b**2 + 4*b**2 - 3*b - 40 - z*b. What is the hundreds digit of v(9)?
2
Let c(x) = 17*x**3 + 7*x**2 + 36*x - 8. What is the thousands digit of c(8)?
9
Let v = -107 - -77. Let n be 48/10 + (4 - (-114)/v). Suppose -n*q = -4*q - 5*x - 61, -x - 113 = -3*q. What is the tens digit of q?
3
Let z = 363 - 216. Let s = z + -7. What is the hundreds digit of s?
1
Let g be 525/200 - ((-81)/24 + 3). Suppose 5*i - 2893 = -g*n, 2*n = -4*i + 2120 - 188. What is the hundreds digit of n?
9
Let w(c) = 598*c**2 + 5*c - 3. Let a be w(-2). Suppose -390*f + 387*f + a = 0. What is the units digit of f?
3
Let f(h) = 4*h - 28. Let j be f(0). What is the units digit of (-36 - j)/((-2)/139)?
6
Let p(c) = 13*c**2 - 5*c - 47. Let h be p(9). Suppose 5*z + h + 1144 = 0. Let m = -241 - z. What is the tens digit of m?
8
Suppose 3450 = 4*h - 938. Suppose -h - 679 = -4*k. What is the units digit of k?
4
Suppose -82*k - 48*k - 50*k = -1513080. What is the hundreds digit of k?
4
Let f(w) be the second derivative of 3*w**3 - 4*w**2 + w. Let j = 2279 + -2275. What is the tens digit of f(j)?
6
Suppose 2*v - 2*z + 795 = -1763, -5*v - 4*z = 6395. Let l = 2746 + v. What is the tens digit of l?
6
Let w(c) = c**3 - 4*c**2 + 8*c + 2. Let g be w(8). Let x = -196 + 422. Let s = g - x. What is the tens digit of s?
9
Let m be (-4 + 28/8)*489*-4. Suppose 0 = -s + 4, 6*c - 4*c + 2*s - m = 0. What is the tens digit of c?
8
Let v = 238 + 179. Suppose 48*x + v = 50*x + 5*a, 2*x - 422 = -4*a. What is the tens digit of x?
2
Let a = 17067 - 10035. What is the thousands digit of a?
7
Suppose 68 = 2*p + 2*d, p + 2 - 6 = 5*d. Suppose -4*u + p - 9 = 0. Suppose 2*m - 206 = 4*i, -u*i - 8 = -i. What is the tens digit of m?
9
Let s = -21 + 66. Let x = -37 + s. Suppose -x*j + 6*j + 26 = 0. What is the tens digit of j?
1
Suppose 0*d - 2*i = 3*d - 204, 3*i = 0. Let q be 52 + ((-189)/(-54))/(14/8). Let g = d - q. What is the units digit of g?
4
What is the tens digit of (-294950)/(-40) + (-5)/(-20) - 2?
7
Let b = 75 + -27. Suppose 6*p - b = -6*p. Suppose -4*t + 14 - 198 = -p*f, -2*f - 5*t + 92 = 