4)/(-3))*(-1 - -2)?
2
Let o(l) be the second derivative of 13*l**4/6 + 7*l**3/6 - 8*l**2 + 194*l. What is the thousands digit of o(7)?
1
Suppose -5*z + j = -6*z + 1449, 3*z = 3*j + 4347. Suppose -d + 0*m + z = -5*m, d = m + 1433. What is the thousands digit of d?
1
Let s(g) = 3*g**2 + 3*g. Let h be s(-2). Let v be 6/(-21) + (-115)/105*-3. Suppose -h*z = v*z - 594. What is the units digit of z?
6
Let m be (-1260)/(-1) - (3 + -6 + 5). Let u = -607 + m. What is the hundreds digit of u?
6
Let u(t) = -14*t**3 + t - 9. Let c(g) = -41*g**3 + g**2 + 2*g - 27. Let m(r) = -6*c(r) + 17*u(r). What is the units digit of m(4)?
5
Let u(i) = -i**3 + 15*i**2 - 2*i + 24. Let o(c) = -c**2 - 11*c - 15. Let h be o(-6). Let x be u(h). Let p(m) = -33*m - 30. What is the units digit of p(x)?
8
Let n(p) = -4*p + 17. Let l be n(8). Let j be 740/(-6) + (-5)/l. Let i = -76 - j. What is the tens digit of i?
4
Suppose -5*c = -4*i + 132, 20 = -2*c - 3*c. Let x = i - -45. Suppose 70*b - x*b = -219. What is the units digit of b?
3
Let h(c) = c**2 + 11*c - 22. Let k be h(8). Let p = k - 96. What is the units digit of p?
4
Suppose 5*i - 4*w = 37427, i - 7512 = 20*w - 23*w. What is the thousands digit of i?
7
Let x(q) be the first derivative of -3*q**2/2 + 63*q - 1. Suppose -2*m = -26*n + 31*n - 1, 2*m = -2*n - 14. What is the units digit of x(m)?
9
Suppose l - 1966 + 619 = 5*y, 4*l - y = 5293. What is the thousands digit of l?
1
Suppose 60 = -303*k + 307*k. Suppose -k*t = -21*t + 8754. What is the hundreds digit of t?
4
Let b(a) = -138*a - 28. Let u be b(-1). Let k = 346 - u. What is the hundreds digit of k?
2
Let i(a) = 1267*a**2 - 1454*a + 12. What is the hundreds digit of i(-5)?
9
Suppose -25 = -d - 22. Let s be (-1)/(-1) - (1*-15 - d). Suppose -r + 172 = s. What is the units digit of r?
3
Let c be -213*(-4 + (45/(-3))/(-5)). Suppose -215*s = -c*s - 580. What is the hundreds digit of s?
2
Suppose -4*l = 20, -9*o + l + 5 = -14*o. Let y(k) = 66*k**2 - k - 2. Let a be y(3). Suppose o = -3*g + 3, -3*h = -7*h - g + a. What is the hundreds digit of h?
1
Let j be 2/((2/8)/((-12)/(-32))). What is the units digit of (-2 + (28 - j))*1*17?
1
Let i(m) = -4*m**2 - 4*m - 28. Let u(x) = 5*x**2 + 3*x + 27. Let c(g) = -6*i(g) - 5*u(g). Let k be c(16). What is the units digit of k/2*(-6)/3?
9
Let s(c) = -11*c**2 - c - 2 + 2*c**3 + 8 + 12*c**2 - c**3. Let i be s(0). Suppose 0 = i*p - 27 - 9. What is the units digit of p?
6
What is the units digit of 12611/(2/((60/(-50))/(3/(-10))))?
2
Suppose -26*i + 30*i = 6932. Suppose 5*q - 283 = -a + i, 1204 = 3*q - 5*a. What is the tens digit of q?
0
Let h(a) = 6*a + 47. Let u be h(-7). Suppose 4*y - 4*v + 8 = 0, -2*y - 2*v = -5*v + u. What is the tens digit of 3/((-45)/(-1070)) + y/3?
7
Suppose 2*a - 370 = -0*a. Let i be ((-12)/(-4) - -2) + -5. Suppose i = -3*x + a + 172. What is the hundreds digit of x?
1
Suppose 777645 = 264*p - 1385504 + 61445. What is the thousands digit of p?
7
Suppose 4*y - 94999 = -3*k, 3*y - 63312 = -k + 7931. What is the hundreds digit of y?
7
Let j(i) = i**2 - 5*i - 5. Suppose -3*m + 2*z = 2, -3*m - 4*z + 5 = 1. Suppose 4*h = -m*n - n + 18, h + 38 = 4*n. What is the tens digit of j(n)?
4
Let m be 5*(-4 - 26/(-5)). Suppose 2*l = m - 10. What is the units digit of (-197)/l - (-7)/(70/5)?
9
Let t(g) = -9*g**2 - g + 19. Let l be t(6). Let c = l - -604. What is the tens digit of c?
9
Let c(z) = 2*z**2 + z - 8. Let g be c(-5). Let a(u) = g*u**2 + 4 + u - 7*u**2 + 0*u - 1. What is the tens digit of a(2)?
2
Let z(b) = 528*b**2 - 482*b - 4597. What is the units digit of z(-10)?
3
Suppose 3*x - 2*n = 40109, x + 3*n - 17253 = -3876. What is the ten thousands digit of x?
1
Suppose 0 = -1136*s + 1192*s - 227024. What is the hundreds digit of s?
0
Let c be 580/4 + 4 + (0 - 0). Let i = c - 6. What is the tens digit of i?
4
Let r be (21/(-14))/((-3)/318). Suppose -4*h + 216 - 34 = c, -4*c + 143 = 3*h. Suppose -5*o = x - 363, -3*o + 4*x + r + h = 0. What is the units digit of o?
2
Let n be (2*1)/(48/(-144)). Let s(o) = -161*o - 199. What is the tens digit of s(n)?
6
Let k = 206 - 107. Let i = k - 110. What is the hundreds digit of 15432/66 - 2/i?
2
Let g be (-39)/(-26) - 1/(-2). Suppose -7*y - o = -12*y + 237, g*y - 3*o - 100 = 0. What is the units digit of y?
7
Let x = -4026 + 4105. What is the units digit of x?
9
Suppose -3*l + n = -28187, 7*n - 2291 = -3*l + 25856. What is the thousands digit of l?
9
Let y be 3/9 - (-1000)/6. Suppose 0*l - 2*l + 10 = 0. Suppose y = 4*q - l*a, -123 = -q - 2*q + 3*a. What is the units digit of q?
8
Let l = 117 + -113. What is the tens digit of -2 + (-6231)/(-12) + (-1)/l?
1
Let r(u) = 2*u + 35. Let i(v) = 6*v + 106. Let n(b) = -3*i(b) + 8*r(b). Let p be n(-19). Suppose 560 = -p*d + 5*d. What is the units digit of d?
2
Let h be (1 + 3 - 2)*15/6. Suppose h*z = 4*p - 2560, 3*p - 2*z = 84 + 1843. Suppose 3*v + 243 = p. What is the hundreds digit of v?
1
Let w(z) = 14*z**3 - z**2 + 8*z - 11. Let j be w(2). Let x = j + -93. What is the units digit of x?
0
Let u(p) be the second derivative of 0 - 5/2*p**5 - 13*p + 1/2*p**2 - 1/6*p**4 + 1/6*p**3. What is the tens digit of u(-1)?
4
Suppose 3*m + 30 = -7*m. What is the units digit of 2 - -3*8/m*-102?
8
Suppose 20*l - 3843 - 917 = 0. Suppose l + 182 = 7*r. What is the units digit of r?
0
Let t(b) = -b**3 - 9*b - 4 + 9*b**2 + 0 + 0. Let q be t(8). What is the hundreds digit of 2/((4/453)/((-8)/q))?
1
Suppose -5*l - 3*l = 264. Let o = 36 + l. Suppose -5*t + 364 = 3*u, 0 = t - 2*t + o*u + 80. What is the units digit of t?
4
Let r(f) = -f**3 - 32*f**2 - 110*f - 176. What is the ten thousands digit of r(-37)?
1
Let n = -43 - -52. Suppose n*g + 507 - 2838 = 0. What is the units digit of g?
9
Let n(l) = 2*l**2 + 9*l + 57. Let x be n(-7). What is the hundreds digit of ((-138)/(-4))/(x/1656)?
6
Let g(x) = 300*x**2 + 68*x - 894. What is the hundreds digit of g(12)?
1
Suppose -5*c - 80136 = -41*c. What is the units digit of c?
6
Suppose 0 = 4*l - 11*l + 6706. Let u = l + -454. What is the tens digit of u?
0
Let a = -89 + 93. Suppose x = 4*n - 0*x - 106, -73 = -3*n + a*x. Suppose 2*q - n - 27 = -5*d, 2*d = 4. What is the tens digit of q?
2
Let a(j) = -j**2 - 36*j + 45. Let x be a(-37). Suppose -2199 = -10*w + x*w + t, 4*t - 5491 = -5*w. What is the thousands digit of w?
1
Let h be (10/(-3) + 3)*3 - -459. Let o = 766 - h. What is the tens digit of o?
0
Let s be 664/(-6) + (-12)/(-18). Let b = 383 + s. What is the hundreds digit of b?
2
Suppose -46*i + 41*i + 30 = 0. Suppose r = -5*o + 12, -2*o - 3*r + i = 3*o. Suppose -o*p + 2*z = -425, 3*z - z - 147 = -p. What is the hundreds digit of p?
1
Let a be (-3 + 3 - -2)*(-995)/(-10). Let h = 118 - a. Let w = h - -101. What is the tens digit of w?
2
What is the ten thousands digit of (82271/21 + -3)/((-312)/54 - -6)?
1
Suppose -3*h - 13344 = -4*p, p - 2*h + 202 = 3533. Suppose 7*u - 378 = p. What is the units digit of u?
1
Suppose -328*l + 42867 = -327*l + 2*j, -3*l + 128595 = 4*j. What is the hundreds digit of l?
8
Let p(l) be the second derivative of 2*l**3/3 - 9*l. Let s be p(-1). Let k(u) = u**3 + 6*u**2 - 8. What is the units digit of k(s)?
4
Suppose -y - 8 + 6 = 0. Let k be (y - (-6 - -3))*3. Suppose 135 = k*n - 108. What is the tens digit of n?
8
Suppose 28360 = 5*h - 5*j, -5*h + 3*j = -10*h + 28376. What is the thousands digit of h?
5
Let x = 23 - 56. Let y = 102 + -68. Let o = y + x. What is the units digit of o?
1
Suppose 224 = 4*g - 4*y, 0 = 2*y - 1 - 1. Let x = g + -25. Let m = 43 - x. What is the units digit of m?
1
Suppose -4*z - 14841 = -2*y + 27747, 0 = 5*y + 3*z - 106496. What is the ten thousands digit of y?
2
Let s(y) = -y**3 - 9*y**2 + 31*y + 32. Let q be s(-15). Let d = q + -618. What is the hundreds digit of d?
2
Let j(l) = -l + 8. Let a be j(0). Let h(i) = -5*i**2 + 17*i + 22. Let p(s) = s**2 - s - 6. Let n(t) = h(t) + 6*p(t). What is the tens digit of n(a)?
3
Suppose 0 = 2*t - 6 - 2. Suppose -t*h - 2*w - 854 = 0, -4*h = -w + 5*w + 852. Let q = 318 + h. What is the hundreds digit of q?
1
Let t(w) = -18 - 22 - 22 - 3*w**2 + 5*w + 1153*w**3 + 86 - 26. What is the units digit of t(1)?
3
Let b = 58 - 32. Let f be 195/b*-2*1/(-3). Suppose 4*v + f*r + 0*r - 342 = 0, -2*r - 92 = -v. What is the tens digit of v?
8
Let o(t