units digit of z?
5
Suppose -3*j + c - 5 = -4*c, 5*j + 3*c - 3 = 0. Let s(y) = -y + 84. Let k(w) = 3*w - 169. Let i(x) = 2*k(x) + 5*s(x). What is the units digit of i(j)?
2
Let s = 511 + -703. Let q = 257 + s. What is the units digit of q?
5
Let s(d) be the third derivative of d**8/720 - 7*d**5/20 - 33*d**2. Let j(f) be the third derivative of s(f). What is the units digit of j(2)?
2
Let g(o) = -o**2 - 10*o + 11. Let j be g(-11). Suppose j*n = n - 0*n. Suppose n = -3*c + 156 + 51. What is the tens digit of c?
6
Suppose -405 + 1756 = 7*p. Suppose -1365 = 190*x - p*x. What is the hundreds digit of x?
4
Let k(u) = 657*u - 3932. What is the tens digit of k(11)?
9
Let i(q) = 4*q + 2*q**3 - 3*q**2 - 9*q**3 - 3 - q**3. Let k be i(-4). Let t = -172 + k. What is the units digit of t?
3
Suppose 15914 = 2*g + 5*i, 3*g - 39604 = -4*i - 15712. What is the hundreds digit of g?
9
Let k be 4/((-16)/120 + (-64)/(-30)). Suppose -2*x - 52*w + 1556 = -56*w, -2*x = k*w - 1562. What is the tens digit of x?
8
What is the tens digit of (99976/(-24))/(-2 + 20/12)?
9
Suppose -26*k + 21*k + 4*a = -12242, -3*a = -3*k + 7344. What is the hundreds digit of k?
4
Let v = 19 + -24. Let i be ((-96)/(-40))/((-2)/v). What is the units digit of 8 + (-3)/(9/i)?
6
Let z = -450 + 288. Let i(u) = u**2 + u - 337. Let p be i(0). Let g = z - p. What is the units digit of g?
5
Let b = -289 - 131. Let z = b + 1328. What is the tens digit of z?
0
Suppose 3*y - 2*i = 44, 0*y = 4*y - 2*i - 56. Let o be ((-8)/y)/(-2) + (-3286)/(-6). Suppose 3*w - o - 48 = -4*d, 0 = d - 5. What is the tens digit of w?
9
Let v(c) = 2*c - 13. Let q be v(8). Suppose -12 = 4*r, 3*x - q*r = -r + 237. What is the tens digit of x?
7
Suppose 4*r - 2*c = c + 15197, -3*r + 11400 = -3*c. What is the tens digit of r?
9
Suppose 406*k - 401*k = -4*l + 50923, 50911 = 5*k - 2*l. What is the units digit of k?
3
Let i = 5094 - 3286. What is the thousands digit of i?
1
Suppose -17 = 4*s + 5*l, 4*s - 4 + 6 = -2*l. Suppose -4*y - 5*v - 108 = -5*y, 5*y - 517 = s*v. What is the hundreds digit of y?
1
Suppose 18088 = 198*b - 191*b. What is the tens digit of b?
8
Let w = -432 + 432. Suppose -2*g + w*g - 2596 = -3*l, -4*l - 2*g + 3480 = 0. What is the tens digit of l?
6
Let r be 1 + 49/(-56) + 114/(-16). What is the hundreds digit of -4*(9 + r)*-124?
9
Let k = -86 + 148. Suppose -63*q = -k*q + 7. Let g(v) = 4*v**2 - 2*v - 11. What is the units digit of g(q)?
9
Let c(a) = a**2 - 24*a - 20. Let p be 8/(-52) - (1 - (-164)/(-52)). Let u(k) = 4*k**3 - 3*k**2 + 3*k - 1. Let m be u(p). What is the units digit of c(m)?
5
Suppose 2*z - 8 = -3*t + z, -8 = -4*z. Suppose -2*i = 3*g - 7*i - 122, 2*i - 60 = -t*g. Suppose -k + 1 + g = 0. What is the tens digit of k?
3
Suppose 5*a = -4*i + 112801, 31*a = 26*a - 35. What is the ten thousands digit of i?
2
Let c be (-4 + 1)/(-3) - -3. Let j be 22/(-4) + (-65)/(-26) - -8. Suppose -c*l + 437 = j*v, l - 6*l - v + 562 = 0. What is the units digit of l?
3
Suppose -417*c + 10583040 = -205*c. What is the ten thousands digit of c?
4
Let t = -4990 - -6980. What is the thousands digit of t?
1
Let m = 19039 + -7192. What is the hundreds digit of m?
8
Let z(s) = 237*s**3 - 8*s**2 - 52*s + 4. What is the ten thousands digit of z(6)?
5
Let d = 84 - 83. Suppose -3*p = 5*m - 20 - 19, p + d = 3*m. What is the hundreds digit of 4/p - (-293)/2?
1
Let k = 12333 + -7530. What is the units digit of k?
3
Suppose -168 + 2293 = -17*v. Let k = 1362 + v. What is the thousands digit of k?
1
Let k(z) = -z**3 + 11*z**2 - 6*z + 12. Suppose -n = -c - 4*c + 45, -47 = -4*c + 3*n. What is the units digit of k(c)?
6
Suppose -z = 4*y - 211, -2*z - z - y = -622. Let n = 1836 + z. What is the units digit of n/45 - 6/(-10)?
6
Let h(m) = 50*m + 2. Suppose 7*w + 8 - 22 = 0. What is the tens digit of h(w)?
0
Let m be -606*1/4*-6. Let n = m - 459. What is the units digit of n?
0
Let r(t) = -t**3 - t**2 + 4*t + 7. Let f be r(-2). Let b(o) = -o**3 + 10*o**2 - 10*o - 11. Let g be b(9). What is the tens digit of 160/(g/(-5)) + f?
4
Suppose 17*d = 438*d - 10660562. What is the tens digit of d?
2
Let b be 1 - -3 - (-9 + -10). Suppose -5*m = -11*m + 732. Suppose u + b = m. What is the tens digit of u?
9
Let h = 3201 + -3030. What is the units digit of h?
1
Suppose -19528 - 121010 = -6*g. What is the hundreds digit of g?
4
Suppose 0 = 3*v, 4*b - v - 3 = -19. What is the units digit of 11*(b - (1 - (66 - -4)))?
5
Suppose -35574 = -2*o + 5*y - 7596, -5*o = 5*y - 69910. What is the hundreds digit of o?
9
Suppose 5*m + 1565 = 5*d, -4*d + 1752 = -3*m + 498. Suppose 5*q + 4*o - d = 0, q + o - 31 = 31. What is the tens digit of q?
6
Suppose 2*k = -0*k - 23980. Let m be (-6)/(-2 + (-23965)/k). What is the hundreds digit of 4/68*-2 - m/(-17)?
2
Let o(v) = 227*v**3 + v**2 - 13*v + 12. Let q be o(5). What is the hundreds digit of (-24)/(-156) + q/39?
7
Suppose 21*a - 845208 = -119*a - 47348. What is the tens digit of a?
9
Suppose -x - 16 = 4*p, -3*x + 9 = -5*p - 11. Suppose x = -d - 2, 3*c - 5*d - 312 = 283. What is the hundreds digit of c?
1
Suppose 0 = 21*d - 69129 - 383799. What is the thousands digit of d?
1
Suppose -3*g - 2*u + 6*u - 424 = 0, 4*g = -2*u - 558. Let w = g - -222. Suppose -3*p - 2*j + 135 = 25, 0 = -2*p + 3*j + w. What is the units digit of p?
8
Let y = 20775 - 9047. What is the tens digit of y?
2
Let l be (229/(-3))/(26/78). Let b = 245 + l. What is the units digit of b?
6
Let n = 83 + -79. Suppose -26 - 6 = -n*z. What is the tens digit of -12*(42/(-28))/(9/z)?
1
Let b = -3702 + 23942. What is the thousands digit of b?
0
Let q = -743 - -12881. What is the thousands digit of q?
2
Let f(d) = 11*d**3 - 8*d**2 + 30*d - 88. What is the ten thousands digit of f(11)?
1
Let u(v) = 14*v**2 - 55*v - 1119. What is the units digit of u(-27)?
2
Let g be 2 + 5 - -2 - 1. Let f be 1 - ((-645)/12 + (-2)/g). Suppose -3*w - 5*z = -209, f = -0*w + w - 2*z. What is the tens digit of w?
6
Suppose 0 = -8*j + 7*j - 5*b + 13158, -j + 13148 = -5*b. What is the tens digit of j?
5
Let f(x) = 2064*x**3 - 2*x**2 + 1. Let u be f(1). Suppose 0 = 18*k - 5335 - u. What is the hundreds digit of k?
4
Let r = 20662 + 10895. What is the ten thousands digit of r?
3
Suppose -611 - 1117 = 12*j. Let v = 279 + j. What is the hundreds digit of v?
1
Suppose -6729442 - 18558 = -280*u. What is the units digit of u?
0
Let w be (-347)/(-5) - ((-40)/(-25))/4. Suppose -57 = -a + 3*p, -2*a - 5*p + 2*p = -w. What is the units digit of a?
2
Suppose 0 = 6*h + h - 154. Let w = h - -6. Let y = w + 27. What is the tens digit of y?
5
Suppose 66*l - 69*l + 56972 = 5*o, -5*l + 22804 = 2*o. What is the ten thousands digit of o?
1
Suppose -l - 5*w - 31 = 3*l, 5*l + 29 = -3*w. Let g be (-30)/l*(-12)/(-10). Suppose -991 = -g*k + 242. What is the hundreds digit of k?
1
Let l = 50 - 18. Let v be -2 - 10/(-2) - 2 - l. What is the tens digit of (-33 - v)*(1 + (-142)/4)?
6
Let g(q) = 8*q**3 + 2*q**2 + 3 - 25*q**3 + 16*q**3 + 5*q. Suppose -27 = -15*s + 6*s. What is the units digit of g(s)?
9
Let w(k) = -k + 9. Let d be w(3). Suppose -d + 1 = -x. Suppose 0*h + a - 6 = -h, x*a = -4*h + 28. What is the units digit of h?
2
Let t be (1/(-2))/((4 - 11)/(-84)). What is the hundreds digit of 8128/40 + t/5?
2
Let q(l) be the second derivative of l**4/12 - 13*l**3/6 + 2*l**2 + l. Let v = -23330 - -23348. What is the units digit of q(v)?
4
Suppose -2*f = 13*w - 219572, 3*w - 1213 = 2*f + 49455. What is the tens digit of w?
9
What is the tens digit of (116449/(-46) - 33)/((-1)/6)?
8
Let i(c) = -c**2 + 2*c + 13. Let g be i(4). Suppose -2*w - f = -7, g*w - 2*f - 7 = 33. Let o(t) = -t**2 + 19*t + 5. What is the units digit of o(w)?
3
Let b(r) = 20*r**2 + 2*r - 2. Let d(i) = -i**2 + 1. Let y(w) = b(w) - d(w). Let s be y(-3). Let u = s + -31. What is the tens digit of u?
4
Suppose -x = -m - 0*x + 878, 3*x - 4398 = -5*m. Suppose 0 = -5*c - 20, 3*a + 3*c - 6*c + m = 0. What is the tens digit of (3*(-2)/(-18))/((-3)/a)?
3
Let m = 2422 + 3754. Suppose -q - 8 + 4 = 0, -4*x + m = -q. What is the thousands digit of x?
1
Let o(d) be the second derivative of -3*d**5/4 + d**4/4 + d**3/2 - 11*d**2/2 + 68*d. What is the tens digit of o(-3)?
1
Let l = 66 - 116. Let w = 223 + l. Suppose -w = -4*m + 195. What is the units digit of m?
2
Let n