t y be (-12)/9*(-4 - -7). Let k be c(y). Suppose k*p = 86 + 126. What is the units digit of p?
3
Suppose -32 + 42 = 2*v. Suppose -v*g + 803 + 627 = 0. Suppose 2*f = -22 + g. What is the tens digit of f?
3
Let i(p) = 42 - 23*p - 17 - 9. What is the tens digit of i(-15)?
6
Let t = -396 - -401. Suppose 4*h - 2510 = o + 845, t*h + 3*o - 4181 = 0. What is the hundreds digit of h?
8
Let s be 3/(6/4) + -12. Suppose -134*l = -126*l - 2520. What is the units digit of 4/(-3)*l/s?
2
Let p = 1349 + -803. Let k = p + 705. What is the thousands digit of k?
1
Suppose 415872 = -9*f + 9*f + 19*f. What is the thousands digit of f?
1
Let r(q) = 847*q + 673. What is the thousands digit of r(6)?
5
Let x(l) = 4*l + 31. Suppose 4*y + 2*c - 96 = -2*c, 0 = 3*c - 15. Let f be x(y). What is the tens digit of (-3 + -1)/(-4)*f?
0
Let g = -8351 + 13739. What is the tens digit of g?
8
Let h = -21 + -46. Let x = 106 + h. What is the tens digit of x?
3
Let l = 6902 - -18270. What is the tens digit of l?
7
Suppose -48 = -48*u + 32*u. Suppose -u*w + 5056 = 1630. What is the hundreds digit of w?
1
Suppose -17 - 31 = -52*j + 108. Let a(x) = -10*x. Let z be a(3). What is the tens digit of (696/z)/(((-9)/15)/j)?
1
What is the thousands digit of 5 - 105/20 - 36341/(-4)?
9
Suppose 4*z = -5*g + 271509, -171 + 168 = -3*z. What is the tens digit of g?
0
Let o(a) = 5*a**2 + 66*a + 2397. What is the units digit of o(-37)?
0
Let v(g) = -22*g**3 + 6*g**2 + 22*g. Let o be v(10). What is the hundreds digit of (o/150)/(1/(-5))?
7
Let p be (16/(-6))/(22/(-33)) + 4. Suppose -16*x + 864 = p*x. What is the tens digit of x?
3
Suppose i + c - 20 = 0, 2*i = 3*c + 2*c + 40. Let g(v) = v**3 + 54 + 1995*v - 21*v**2 - 1971*v - 48. What is the units digit of g(i)?
6
Suppose 15*f + 79*f - 844568 = 157660. What is the hundreds digit of f?
6
Let i(j) = -139*j - 1017. What is the thousands digit of i(-40)?
4
Let k be (984/36)/((-2)/(-3)). Suppose 0 = -9*f + k + 31. What is the units digit of (-18)/f*(0 + -12)?
7
Let y(m) = -40 + 239*m - m + 108*m. What is the tens digit of y(2)?
5
Let t(i) = -70 + 37*i**3 - 18*i**3 + 5*i - 20*i**3 - 32*i**2 + 29*i + 9*i. What is the units digit of t(-34)?
0
What is the thousands digit of (16 - -1) + (221 - -29546)?
9
Let v(o) = 6*o**2 - 6*o + 16. Let t be v(9). Let l be (100/40)/(1/2) - 3. What is the tens digit of t/10*(-10)/(l - 4)?
2
Let d = -5702 + 11143. What is the thousands digit of d?
5
What is the tens digit of (1 - 145/(-5))/((-3)/(-664))?
4
Let l = -9835 + 25031. What is the ten thousands digit of l?
1
Suppose -5*y + 20 = -3*v, -4*y - y - 2*v + 45 = 0. Suppose 6*m + 158 = y*m + 3*x, -772 = -5*m + 3*x. What is the units digit of m?
5
Let i(d) = 12*d - 361. Let h(t) = -t + 2. Let v(j) = -6*h(j) - i(j). What is the hundreds digit of v(0)?
3
Let g be (2 + -5)/((-3)/(-9)*-1). Let o be (-8)/6*g/6. What is the units digit of ((o - 5) + 3)/(2/(-26))?
2
Suppose 131*u - 282172 - 202135 = 0. What is the units digit of u?
7
Suppose -164 = 2*n - 1772. Suppose -a = a - n. What is the tens digit of (4/12)/(404/a + -1)?
6
Let w(n) = -n**3 - 8*n**2 - 7*n - 5. Let r be w(-7). Let x be r/(1 + (4 - 6)). Suppose x*t = -13 + 143. What is the units digit of t?
6
Suppose 476*t = 15286652 + 1221980. What is the ten thousands digit of t?
3
Let k = -52056 + 78392. What is the ten thousands digit of k?
2
Let q = -28 + 31. Suppose -q*l = 5*o + 224, 0 = -0*o - o - 4*l - 38. Let m = 178 - o. What is the units digit of m?
4
Let q = -5225 + 8142. What is the hundreds digit of q?
9
Let i be -7 + (-56)/(-4) - 3. Suppose -4*k = -o + 367, 738 = -0*o + 2*o - i*k. What is the tens digit of o?
7
Let p = -97 + 316. Let j be (p/2)/(2/4). Suppose 2*x - 5*x = -j. What is the tens digit of x?
7
Let w = -587 + 593. What is the units digit of w/((-1145)/145 - -8)?
8
Suppose 21*h = 24*h + 3165. Let u = 1532 + h. What is the units digit of u?
7
Let s(j) = 10420*j + 3690. What is the hundreds digit of s(6)?
2
Suppose 2*n + 407 + 701 = 2*o, o = -n - 554. What is the units digit of (n/(-4))/((-15)/(-30))?
7
Let x = -12109 - -23651. What is the thousands digit of x?
1
Suppose 0 = 2*d + 14, -3*x = -2*x + 2*d - 143. Let r be (-2)/8 + 62/(-8). What is the tens digit of x + ((-12)/8)/(6/r)?
5
Let z = 49 + -87. Let c = z - -72. Let h = c + 55. What is the units digit of h?
9
Suppose 3*b = 12, -b + 3*b = 5*h - 22. Suppose -h + 26 = 4*k. Suppose 0*y + k*y - 4*w = 390, 3*w = 2*y - 163. What is the tens digit of y?
7
Suppose 0 = -4*q + 2 + 6. Suppose -q*x - 2*x = 264. Let c = x - -115. What is the units digit of c?
9
Let i(c) = c**2 + 5*c + 84. Suppose -41*x = -27*x + 238. What is the hundreds digit of i(x)?
2
Let l(c) = c**3 + 46*c**2 + 49*c + 255. Suppose 224 = -5*q + 13*x - 15*x, 0 = -2*q + x - 86. What is the hundreds digit of l(q)?
9
Let l(z) = 4*z**2 - 9*z + 41. Let f = -163 + 172. What is the hundreds digit of l(f)?
2
What is the hundreds digit of ((-30)/(-120))/((-21)/(-12)) + (-570414)/(-14)?
7
Suppose -20*o + 15*o = -n + 9432, -n + 4*o + 9424 = 0. What is the hundreds digit of n?
3
Suppose 21*n - 20*n - 5*r - 2802 = 0, -5*n + 14130 = -r. What is the hundreds digit of n?
8
Suppose -19 = -5*k + 1. Suppose k*c + 390 = 7*c. What is the units digit of -4*(6/36 + c/(-24))?
1
Let l(v) = v + 19. Let q be l(4). Let n(z) = -21*z - 2*z + 6 - q. What is the hundreds digit of n(-7)?
1
Suppose 0 = m, 0*m + 638 = 2*j + 3*m. Let h = j - 219. What is the hundreds digit of h?
1
What is the thousands digit of (2 - (-22)/(-4))/(4*5/(-119200))?
0
Let w(c) be the first derivative of -c**2/2 + 7*c + 71. Suppose -2*d = 2*d. What is the units digit of w(d)?
7
Suppose -5*s = 5*n - 79720, 0 = -2*n + 12*s - 10*s + 31876. What is the ten thousands digit of n?
1
Suppose -u = -6*u. Suppose u = -23*q + 1770 + 576. What is the tens digit of q?
0
Suppose -2*c - 12 = -3*a, 4*a - 9 - 7 = -c. Suppose c = -2*b + 781 - 35. What is the units digit of b?
3
Suppose -2 = -y, 9*y - 7*y - 3055 = -3*d. Suppose -4*j + 3611 = -d. What is the thousands digit of j?
1
Let g(l) = 71*l**2 + 58*l + 779. What is the thousands digit of g(-12)?
0
Let n(b) = 24*b - 1. Let w(d) = 119*d - 6. Let h(u) = -11*n(u) + 2*w(u). Let y be h(-11). Suppose 0 = -7*m + y + 226. What is the tens digit of m?
7
Let r(q) = 4*q**3 + 8*q**2 - 16*q + 51. Let z = 432 + -427. What is the hundreds digit of r(z)?
6
Let a(l) = -l - 31. Let f be a(13). Let w = f - -49. Suppose w*c - 11*c = -960. What is the tens digit of c?
6
Let w(o) = -3*o + 69. Let v be w(23). What is the units digit of v + ((-15)/35 - (-5438)/14)?
8
Let r = 98 - 176. Let n be (-9)/(-21) - (1 + r/14). Suppose 0 = m + n*m - 114. What is the tens digit of m?
1
Let z = 19 + -17. Suppose u + z*u = 4*s - 39879, -19952 = -2*s + 4*u. What is the units digit of ((-2)/(-4))/(-1)*s/(-33)?
1
Let l(g) = -g**3 + 11*g**2 - 8*g + 4. Let u(f) be the second derivative of 11*f**4/12 + f**3/3 + f**2/2 + 8*f. Let b be u(-1). What is the units digit of l(b)?
4
Suppose -13690 = 108*u - 110*u. What is the units digit of u?
5
Suppose -172*l + 2161287 = -55*l + 90*l. What is the tens digit of l?
4
Let y(f) = 172*f + 1. Let q be y(1). Suppose -2*p - 4*i + 881 = -q, 0 = -4*p - 4*i + 2112. What is the tens digit of p?
2
Let p(d) = -7*d**2 - 19*d - 53. Let s be p(-8). Let q = s - -889. What is the tens digit of q?
4
Suppose -12*b + 29 + 7 = 0. What is the tens digit of ((-200)/b)/(22/(-165))?
0
Let v = 3726 + -2257. What is the hundreds digit of v?
4
Suppose 14661 = -28*v + 45*v - 22892. What is the thousands digit of v?
2
Suppose 3*n - 2 = p - 2*n, -2*n + 8 = 2*p. Suppose -p*j - 4 = -4. Suppose d = -5*l + 247, -209 = -j*l - 4*l + 3*d. What is the units digit of l?
0
Let o be (-87)/(-9) - (-1)/3. What is the units digit of ((-5)/o)/((-1)/132)?
6
Suppose -34*q = -36*q + 5*y + 35797, -5*q + 89377 = 4*y. What is the thousands digit of q?
7
What is the units digit of 30/(-9)*47865/(-25)*20/8?
5
Suppose 0 = 4*n + a - 199, -5*n = -2*a + 5*a - 240. Let k = 53 - n. Suppose f - 494 = -5*h - 121, k*h - 2*f - 154 = 0. What is the units digit of h?
5
Let h = 133 + -114. What is the tens digit of (17/3)/(h/741)?
2
Let u = 84032 + -33049. What is the units digit of u?
3
Suppose -3*j + a = -44, -6 + 22 = j - a. Suppose -755 - 6385 = -j*h. What is the units digit of h?
