 81. Let g = -27 + y. Suppose -g - 69 = -x. What is the tens digit of x?
6
Let t(k) = 832*k + 4. Let h = -32 - -33. What is the hundreds digit of t(h)?
8
Let g = -266 - -635. Let y = 982 - g. Let w = -359 + y. What is the units digit of w?
4
Suppose -3*p + 4730 - 1344 = 4*b, 2*p - 5*b = 2288. What is the tens digit of p?
3
Suppose v + 2*i - 3618 = 0, -v - 46*i + 3621 = -43*i. What is the units digit of v?
2
Let z(c) = -9*c**3 - 4*c - 2. Let j be 6*44/60 + 6/10. Suppose j*a - 10 = 10*a. What is the tens digit of z(a)?
7
Suppose 10*k - 7*k + 4*o - 15441 = 0, k - 5115 = 4*o. What is the units digit of k?
9
What is the ten thousands digit of (66414/(-3))/(-49 - -47)?
1
Let i(j) be the second derivative of 5*j**5/24 + 5*j**4/24 - 3*j**3/2 + 20*j. Let b(q) be the second derivative of i(q). What is the tens digit of b(5)?
3
Let f be 26 + 84/6 - (0 - 5). Suppose 72*q = 63*q + f. What is the units digit of q?
5
Let q(b) = 14*b**2 + 35*b - 30. Let p be q(14). Let r be (1/(-2))/((15/p)/(-5)). Suppose -i = -d - 2*i + 178, r = 3*d - 5*i. What is the units digit of d?
8
Let l = -33 - -33. Suppose -j = -l*j + 1. What is the tens digit of (91 - j) + (1 - (3 - 5))?
9
Suppose 4*n + 32448 = 2*l - 7256, 0 = 2*l + 2*n - 39668. What is the tens digit of l?
4
Let u = -537 - -5679. Suppose 153*q = 147*q + u. What is the units digit of q?
7
Let y(l) = -4*l + 8. Let w be y(1). Suppose 4*i - 219 = -w*d + 289, -d + 253 = 2*i. What is the units digit of (i - 0)/((-6)/(-4))?
4
Let c(g) = 219*g**2 - 2*g - 1. Let o be c(2). Suppose 4*k = -j + 9*k + 155, k = 5*j - o. What is the hundreds digit of j?
1
Suppose -50*i - 3*q + 1806 = -49*i, 0 = -3*i + 5*q + 5474. Let m = 3424 - i. What is the hundreds digit of m?
6
Let f = 15701 - 7147. What is the units digit of f?
4
What is the thousands digit of 2/(4*19/1174618)?
0
Let k be 1/((12/(-9))/4). Let s = -1989 + 1992. What is the tens digit of s/k - (-567)/3?
8
Let m be 1 - (-228)/28 - 4/28. Suppose -1818 = -m*i + 2214. What is the tens digit of i?
4
Suppose 0 = -2*q - 5*o - 1 + 2, 5*q - 2*o - 17 = 0. What is the tens digit of 340/30*(3*36)/q?
0
What is the thousands digit of (-105)/115 - -1 - (3164400/(-46))/8?
8
Let i be ((-894)/(-4))/((-12)/(-32)). Let w = -293 + i. What is the units digit of w?
3
Suppose -5*p - 16 = 19, -k - 5*p = -12479. What is the ten thousands digit of k?
1
Let z = 286 + -284. Suppose 0 = -2*m + 3*o + 1619, 735 = -z*m - 5*o + 2378. What is the tens digit of m?
1
Let i = -36 - -43. Suppose -i*k - 28 = -119. Suppose -5*s = -4*s - k. What is the units digit of s?
3
Let f = -15 + 36. Suppose 24*v = f*v. Suppose -7*g + 7 + 7 = v. What is the units digit of g?
2
What is the tens digit of 89/(-534) - (1112079/(-18) + 0)?
8
Let p(n) = n + 255. Let f(h) = 9*h**2 - 57*h + 11. Let k be f(6). What is the tens digit of p(k)?
4
Let n = 802 + -415. Let k be (-24)/(-30)*(n/6 + 3). Suppose k = 6*z - 5*z. What is the units digit of z?
4
Let v(f) = 4*f - 2. Let u be v(1). Suppose 5*a + 3 = -4*x + 5, -2*a = u*x. Suppose 2*r - 3*w = 40 + 57, -4*r + 214 = -a*w. What is the tens digit of r?
5
Suppose 1276 = 9*g - 272. Let p = g + -89. What is the units digit of p?
3
Suppose 24*w - 47*w - 62*w = -1933495. What is the thousands digit of w?
2
Suppose 16*m - 4*x + 4067 = 17*m, 0 = -4*m - x + 16268. Let h = m - 2656. What is the hundreds digit of h?
4
Let s(k) be the first derivative of -k**3/3 - 5*k**2 + 4*k + 9. Let h be s(-10). What is the units digit of 1*h + (-55)/(-1)?
9
Suppose -4*u - 14326 = -2*i, 39*i + u = 38*i + 7172. What is the tens digit of i?
6
Suppose 4*q + q + 31 = 4*m, -q = m - 1. Suppose 2*c - 2*p = m, -18 = -3*c - 2*p - 7. Suppose 6 = c*u, 3*u + 135 = -g + 4*g. What is the tens digit of g?
4
Suppose 173116 = 5*u + 2*n - 106305, 0 = 4*u + 2*n - 223540. What is the ten thousands digit of u?
5
Let o = -3 - 2. Let r(c) = -16*c - 6. Let m be r(o). Suppose -2*v - 2*f + 196 = m, -247 = -4*v - 3*f. What is the tens digit of v?
6
Let k = 11416 + 15785. What is the units digit of k?
1
Let r = -187 - -165. Let k = r - -505. What is the units digit of k?
3
Suppose -4*n = -5*x + 4202, 0 = 5*n - 15 + 5. Let o = x - 466. Suppose 4*q = -3*p + o, 0 = 2*q - 4*p - 219 + 31. What is the units digit of q?
4
Let s(q) = q**3 + 22*q**2 + 37*q + 5. Let i = 2 + -18. What is the tens digit of s(i)?
4
Let q(w) = 14*w + 45. Let h be q(-7). Let o = 51 + h. What is the units digit of (-5225)/(-76) + o/(-8)?
9
Let j be 4/14 + 90/(-70) - -4. Suppose 3*c = 4*r - 134, j*r + r = -5*c + 150. What is the units digit of 690/r - 2/(-7)?
0
Let q(w) = 367*w**2 + 24*w - 38. What is the tens digit of q(-5)?
1
Suppose 2*v - 5252 = -n, -26234 = -5*n - 13*v + 16*v. What is the tens digit of n?
4
Suppose d + 88 = 84. Suppose -5*l = -4*v - 15, 5*l + 4*v - 10 = 5. What is the units digit of l/(d/(-10) - 5/75)?
9
Let h(v) = 15*v - 162. Let j be h(8). Suppose 0 = 2*x - d + 30, 0*d + 4*d = 2*x + 30. Let z = x - j. What is the tens digit of z?
2
Let j(g) = 70*g**3 + 2*g**2 + g - 8. Let p be j(-3). Let u = -1087 - p. What is the hundreds digit of (u/(-8))/(1/(-2))?
1
Suppose -4*i = 3*p - 65, -8*p + 4*p = -3*i - 120. Suppose -p*r + 15199 + 11693 = 0. What is the tens digit of r?
9
Let f(a) = a**3 + 91*a**2 + 261*a + 76. What is the thousands digit of f(-86)?
4
Let u = 6452 - -2628. What is the hundreds digit of u?
0
Suppose 0 = -a - 2*a - 5*d + 2252, 0 = 2*a + d - 1506. Suppose -5*g + 575 = 4*n - a, 0 = -5*n + g + 1654. What is the units digit of n?
1
Let l be -36*((-8)/(-44) + (-15)/22). Let q be (l/(-63))/(1/(-14)). What is the units digit of 180 + q - (-1 + 3)?
2
Let w(l) = 8 - 33 + 10 - 22 + 40*l. What is the tens digit of w(7)?
4
Let j(t) = -t**2 - 22*t + 13. Let a be j(-19). Suppose -4*c + 34 + a = 0. Suppose -c*z + 31*z - 520 = 0. What is the tens digit of z?
0
What is the units digit of 3/(-12)*2 - 40783/(-34)?
9
Let r(z) = 23*z**3 - z**2 - 5*z - 4. Let w(v) = -24*v**3 + v**2 + 6*v + 6. Let j(u) = 4*r(u) + 3*w(u). What is the hundreds digit of j(2)?
1
What is the thousands digit of (2956/(-16))/(772/(-128) - -6)?
5
Let w = 2041 + 22490. What is the ten thousands digit of w?
2
Let s(y) be the third derivative of 1/2*y**4 + 0 + 24*y**2 + 1/20*y**5 + 16/3*y**3 + 0*y. What is the units digit of s(-7)?
5
Let n = -9427 - -11456. What is the hundreds digit of n?
0
Suppose -552 = -2*w - 4*m, 4*w = 4*m + 666 + 486. Let t = 1035 + w. What is the units digit of t?
9
Let s be 9/((-9)/(-8)) - 4/1. Suppose s*d - 9*d + 1800 = 0. What is the tens digit of d?
6
Let h(l) = 66*l - 15. Let v = -76 + 81. What is the units digit of h(v)?
5
Suppose 17*s + 14*s - 2*s = 0. Suppose -797 = -3*v - 2*q, s = -9*v + 4*v - 5*q + 1335. What is the hundreds digit of v?
2
Suppose -w - s + 4572 = 0, 2*s = 302*w - 298*w - 18264. What is the tens digit of w?
6
Let m(v) = -2*v**3 + 9*v**2 + 2*v - 16. Let g be m(-6). Let p = -57 + g. What is the units digit of p?
1
Let d = -242 + 247. Suppose d*m = -3*m + 5344. What is the tens digit of m?
6
Let y be 12/4 - 1 - -111. Let t = y - 47. What is the units digit of 1804/t - ((-1)/(-1))/3?
7
Suppose 3*v = -v. Suppose -x = -v*x + x. Suppose -q = 4*s - 279, -3*s - 2*q + 6*q + 214 = x. What is the tens digit of s?
7
Let c(r) = -4*r - 37. Let l be c(-10). Let j(a) = a**3 - 4*a + 3. Let m be j(l). Let o(p) = 18*p - 24. What is the hundreds digit of o(m)?
3
Let i(u) = 1392*u - 1081. What is the thousands digit of i(14)?
8
Let g(x) = -x**3 + 16*x**2 - 16*x + 18. Let j be g(15). Suppose 0 = 3*w - j*b - 129 - 945, w - 366 = 5*b. What is the hundreds digit of w?
3
Let k be -7*(0 + 33*(-2)/3). Suppose 0 = 2*s - 3*v + v - k, 154 = 2*s - 3*v. What is the units digit of s?
7
Let v = -53 - -59. What is the units digit of (7 - (-1347)/1) + v?
0
What is the units digit of ((-493)/34)/(-29)*0/(-1) - -65325?
5
Let q be ((-56)/10)/((-3)/75). Let a = 10392 - 10394. What is the hundreds digit of q*((-54)/(-15) + -2) - a?
2
Suppose 5*r = 2*l + 796, -483 = -3*r - 2*l + 5*l. Let f be (64/(-6))/((-1)/(-6)). Let v = f + r. What is the tens digit of v?
9
Let c(n) = -208*n + 162. Let z(y) = 2*y**3 + 18*y**2 + 11*y - 42. Let l be z(-8). What is the hundreds digit of c(l)?
5
What is the thousands digit of 67878/7 + -5*104/(-455)?
9
Let t be (-2 + -5)*1*(-12)/14. Suppose -3*s - 12 = -t