et z be (-6)/4*l*16. Suppose -z = -12*v + 10*v. What is the units digit of v?
2
Suppose 0 = b + 2*b. Let g(d) = 502*d**2 + 21*d + 20. Let h be g(-1). Suppose 3*s + b*f - 496 = 4*f, 3*s - 3*f = h. What is the units digit of s?
2
Let l(b) = 157*b**2 - 93*b + 338. What is the thousands digit of l(4)?
2
Let j(x) = -35*x - 288. Let u be j(-18). Suppose 0 = u*d - 340*d - 1190. What is the tens digit of d?
9
Suppose -4*q - 54 + 158 = 0. Suppose 0 = 8*z - 7*z - 3*f - 36, 5*f + 15 = 0. Let i = q + z. What is the units digit of i?
3
Let l = -6145 - -6019. Suppose 0*n + 5*i = -2*n + 483, 0 = 5*n + 5*i - 1185. Let d = n + l. What is the tens digit of d?
0
Suppose 0 = 2*o + z - 6779 - 27596, 5*z = -o + 17192. What is the units digit of o?
7
Let x = 739 + 4510. Suppose 5*o + f = -1983 + 10737, -3*o = 4*f - x. What is the hundreds digit of o?
7
Let z(f) = -f - 4. Let g be z(-9). Suppose -4*x + 4258 = -2*l, -g*x - 2*l + 814 + 4504 = 0. Suppose 2*a = 16*a - x. What is the units digit of a?
6
Suppose 190*l + 135*l = 38*l + 1948443. What is the tens digit of l?
8
Let a be -387*(2/8)/((-2)/(-8)). Let g = a - -764. What is the units digit of g?
7
Let u = -433 + 436. Suppose 5*w = u*k - 1683 - 1198, k + w - 971 = 0. What is the hundreds digit of k?
9
Let j = 80179 - 46468. What is the thousands digit of j?
3
Let t(p) = 4*p**2 - 22*p. Suppose 24 = 2*w - l, 4*l + 42 = 4*w - l. Suppose -g - 84 = -w*g. What is the tens digit of t(g)?
4
Let c(d) = -3*d**2 - 7*d - 14. Let p be c(-6). Let n be (p/(-50))/(2/(-20)). Let v(r) = r**3 + 19*r**2 + 40*r + 24. What is the hundreds digit of v(n)?
1
Let b(w) = 5*w**3 - 3*w**2 + 2*w. Let x be b(1). Suppose x*a - 1136 = 56. Suppose 2*z - 7*j = -5*j + a, 2*j = -z + 161. What is the tens digit of z?
5
Suppose 0 = z - 4*l + 17, 0*l = 4*l - 16. What is the units digit of ((-4 - -131)/(-1))/z?
7
Suppose -3*r - r = -4*y + 4640, y - 4*r = 1172. Suppose 0 = 7*a - 3429 - y. What is the hundreds digit of a?
6
Suppose -30*f - 27 = -39*f. Suppose -f*x + 2*p = -1257, -4*p = 6*x - 9*x + 1257. What is the units digit of x?
9
Let j(w) = w**3 - 33*w**2 - 62*w - 52. What is the ten thousands digit of j(42)?
1
Suppose 15*g - 47880 = -19*g + 14*g. What is the tens digit of g?
9
Suppose 100 = 3*g - 5*l, 4*l + 68 = 3*g - g. What is the hundreds digit of g/75 - (-1173)/5?
2
Let o(i) = -1 + 5 - i + 5 + 1. Let y be o(6). Suppose 371 = y*h + 87. What is the units digit of h?
1
Let v(y) = y**2 - 27*y + 4. Let f be v(27). Let t be 2 + 0 - ((-7420)/5)/f. Let r = t + -211. What is the hundreds digit of r?
1
Suppose -23*f + 106673 = -165141. What is the hundreds digit of f?
8
Let v = -84634 + 128901. What is the units digit of v?
7
Let d = -85 + 89. Suppose o = d*o + v - 4, 3*o - 12 = -3*v. Suppose 4*r - 548 = -3*w, o*w - 5*r = 2*w - 356. What is the units digit of w?
8
Suppose -3472 = 52*p - 60*p. Let x = p - 293. What is the hundreds digit of x?
1
Let u = 3374 - 2004. Suppose -10*r + u = -900. What is the tens digit of r?
2
Let p be (48/60)/(0 + 1/10). Suppose -2*b + 3*l = -710, -13*l - 348 = -b - p*l. What is the units digit of b?
8
Let o(u) = u**3 + u**2 + 2. Let c be o(-2). Let f(j) = -342*j**2 + 2*j - 2 + 177*j**2 + 236*j**2 + 0*j. What is the tens digit of f(c)?
7
Suppose -1343*a + 1326*a + 394094 = 0. What is the ten thousands digit of a?
2
What is the tens digit of 76/(-57)*(-2 + (-54278)/8)?
4
Let v(d) = d + 25. Let p(o) = -o - 13. Let u(k) = 15*p(k) + 6*v(k). Let m be u(-21). Suppose 4*n + n = 20, m = 4*r - n. What is the units digit of r?
7
Let v = -33 + 38. Let p(w) = -w**3 + 5*w**2 + 8*w + 2. Let q be p(v). Suppose -5*o - 5*s + 243 = -q, 2*s = 4*o - 246. What is the tens digit of o?
6
Let i(g) = 23 + 2*g**2 - 35 - 7 + g**3 + g**2. What is the units digit of i(6)?
5
Suppose -5*v - 23*v = 27*v - 375595. What is the thousands digit of v?
6
Let d = -92 - -94. What is the hundreds digit of 292/d + -8 + 14?
1
Let x = -433 + 474. What is the tens digit of -6 + (x/(-2))/((-29)/1218)?
5
Let y(b) = -b**3 + 17*b**2 + 37*b - 141. What is the hundreds digit of y(15)?
8
Suppose 4*x - 2*p = -510, -3*p - 6 = 9. Let d = x + 240. Let m = d - 69. What is the tens digit of m?
4
Let q(v) = -v**2 + 13*v - 32. Let i be q(9). Suppose -6*o = i*o - 1530. What is the units digit of o?
3
Suppose 39194 + 1769626 = 26*x. What is the units digit of x?
0
Let y(r) = r**3 - 2*r**2 - r + 2. Let c be y(1). Suppose 5*u + 0*u + n - 2871 = c, 0 = -2*u + 4*n + 1166. What is the units digit of u?
5
Let l = -20913 - -25306. What is the units digit of l?
3
Let g = 46 + -40. Let q(l) = 3 - l + 5 - 3 + g*l. What is the units digit of q(9)?
0
Suppose 0 = 4*r - 2*l - 47726, -8959 = -3*r + 5*l + 26853. What is the units digit of r?
9
Suppose 239*n - 242*n = 3*x - 3702, x = n - 1238. What is the hundreds digit of n?
2
Let c(b) = -b**2 - 8*b + 12. Suppose 4*n + 19 = -3*t - 30, 0 = t - 4*n + 43. Let d(m) = m**2 + 24*m + 14. Let g be d(t). What is the units digit of c(g)?
3
Let p(r) = 3*r**2 + 13*r - 36. Let d be p(-10). Let w = d - -291. What is the units digit of w?
5
Let v = 6040 + -961. What is the hundreds digit of v?
0
What is the units digit of 296208/29 - ((-38)/29)/(-19)?
4
Suppose f = -3*s - 0*f - 36, 58 = -5*s - f. Let y(i) = 2*i**2 + 14*i + 13. Let a be y(s). Suppose -20 = j - a. What is the units digit of j?
1
Let z(b) = 183*b + 141*b + 191*b - 53*b + 4 + 60. What is the hundreds digit of z(3)?
4
Let n = -170 - -180. Suppose n*f - 35 = 3225. What is the hundreds digit of f?
3
Let y(j) = -896*j + 390. What is the hundreds digit of y(-35)?
7
Let k(p) = p + 5. Let g be k(-6). Let n be (g + 1)*1*(-3)/6. What is the tens digit of (-85*(-1 - n))/(1 - 0)?
8
Let p(q) = 450*q - 9. Suppose -61*z = -58*z - 3. Let i be p(z). Suppose 3*a = 3*u - i, 4*u = 5*u + 4*a - 137. What is the hundreds digit of u?
1
Let n = -128 - -128. Suppose -d - 2*h - 74 = -n*h, h - 260 = 4*d. Let r = d - -146. What is the units digit of r?
0
Let x(v) = 30*v - 70. Let y(k) = 29*k - 67. Let j(b) = 3*x(b) - 4*y(b). What is the hundreds digit of j(-18)?
5
Let f(r) = 2*r - 23. Let k be f(10). Let v be (k - (-36)/(-14)) + (-3)/7. What is the hundreds digit of ((-2006)/(-14))/1 - v/(-21)?
1
Let m(q) = -q**3 - 49*q**2 - 406*q + 79. What is the units digit of m(-44)?
3
Suppose 387 - 387 = -5*p. Suppose -32*m + 33*m - 229 = p. What is the units digit of m?
9
What is the ten thousands digit of 14874/9*(81 + -72)?
1
Suppose 3*c = c - 5*f + 67, -c - 3*f + 36 = 0. Let g = 12 + c. Let z = g - 24. What is the units digit of z?
9
Let t(f) = 19*f**3 + 4*f**2 + 4*f - 6. What is the tens digit of t(4)?
9
Let f(q) = 13*q + 3. Let z(t) be the third derivative of 13*t**4/12 + 5*t**3/6 + 5*t**2. Let p(l) = 9*f(l) - 4*z(l). What is the units digit of p(7)?
8
Suppose 8*z = -39 + 3199. Suppose -9*j + 4*w = -12*j + z, -4*j + w = -533. What is the hundreds digit of j?
1
Let j be -7*(-25)/105*2016. What is the tens digit of (45/4)/((-7)/(j/(-9)))?
0
Suppose -3*q = 4*c + 2630, -4*q + 1 = 9. Let d = c - -962. Let t = d + -158. What is the units digit of t?
8
Let o(c) = -2*c**2 + 4*c + 495. Let r = -529 - -529. What is the tens digit of o(r)?
9
Suppose -2*x + 0 = 6, -4*x = q - 79. Suppose -97*l = -q*l - 5340. What is the hundreds digit of l?
8
Suppose 24*t - 249007 + 144644 = 284653. What is the units digit of t?
9
Let b = 4033 - -2426. What is the hundreds digit of b?
4
What is the thousands digit of 248*((-99)/(-6) + 56/14)?
5
What is the thousands digit of ((-45)/(-4) + -9)*924?
2
Let i = 73 + 134. Let s = i - 50. What is the hundreds digit of (-1)/(-3) - s/3*-2?
1
Let d be 34/68*8*1. Suppose 0 = g + 5*y - 1376, -3*y = -4*g - d*y + 5542. What is the tens digit of g?
8
Suppose -5*v = -20, -4*g = 3*v - v - 12068. Suppose -8*h + g = 87. What is the tens digit of h?
6
Let z(l) = l**2 + 5*l - 64. Let s be z(6). What is the units digit of 188/((s/(-4))/((-9)/18))?
8
Let p(r) = 3*r**2 - 18*r + 5. Let q be p(6). Suppose -q*a = 6*n - 2*n - 121, 0 = n - 4. Suppose a - 111 = -6*o. What is the tens digit of o?
1
Suppose 0 = 3*q + a + 4473, q + q + 2982 = 5*a. Let b = 2214 + q. Suppose 5*y - 565 = -2*x, 0 = 5*y - 2*x - b + 178. What is the hundreds digit of y?
1
Let f(s) be the first derivative of s**4 + 7*s**3/3 - 21*s**2/2 + 13*s - 324. What is the thousands 