
Let w = 7643 + 24116. What is the units digit of w?
9
Suppose 10873 = -19*z + 78*z - 800790. What is the thousands digit of z?
3
Suppose -1764 = 22*w - 16*w. Let r = 604 + w. What is the tens digit of r?
1
Let n(d) = -d - 4. Let y be n(-7). Let q = -1465 - -1477. What is the tens digit of 232 + (-1)/(y/q)?
2
Suppose -42 = -12*l - 2*l. Suppose 551 = -2*r + l*r. What is the units digit of r?
1
Suppose 2147 = -4*p + 79. Let i = 229 - p. Suppose -i = -4*o - 3*t, 381 = 4*o + t - 369. What is the units digit of o?
8
Let z(i) = 2*i**2 + 50*i - 56. Let s be z(-26). Let k(t) = -16*t**2 + 4*t + 3. Let l be k(s). Let q = -169 - l. What is the hundreds digit of q?
1
Let n(s) = s**2 + 439*s + 5997. What is the hundreds digit of n(0)?
9
Let t = -3465 - -11317. What is the units digit of t?
2
Let x(o) = 5*o + 7. Let v be x(2). Suppose v*d - 5822 = 570. What is the units digit of d?
6
Suppose -87 = -4*w + 5*b, 3*w + 10*b = 12*b + 60. What is the units digit of 3 + 2004/w*3?
7
Suppose 23*a + 0*a = 2*a. Suppose -5*h = 9*d - 13*d + 109, a = 3*d + 5*h - 73. What is the units digit of d?
6
Let z = 11175 + -4742. What is the thousands digit of z?
6
Let f = -98 - -53. What is the tens digit of 868*((3 - f/(-6)) + 5)?
3
Let k(d) = 9*d**2 - 19*d - 23. Let c be k(9). Suppose -4*x + c = 2*j - 1455, 2*j = 3*x + 2018. What is the thousands digit of j?
1
Let c = -16990 - -33149. Suppose -32*r - 1919 = -c. What is the tens digit of r?
4
Let c(d) = 194*d**2 + 19*d - 19. Let z be (-10)/(-14) - 1/((-7)/2). What is the tens digit of c(z)?
9
Suppose 0 = -5*h + 5*v + 85, -2*v - 24 = 5*h - 81. Suppose -5310 = -h*q + 1892. What is the hundreds digit of q?
5
Let o(s) = -2*s**3 - 32*s**2 + 3*s + 12. Let x(g) = -2*g**3 - 33*g**2 + g + 11. Let v(a) = -6*o(a) + 7*x(a). What is the hundreds digit of v(-20)?
6
Suppose 35 = -2*o - 3*o. Let m(s) = 2*s**3 + 12*s**2 - 16*s - 7. Let q be m(o). What is the units digit of 228 + 0 + q*(-14)/(-49)?
0
Let b = -264 + 302. Suppose b*r - 34*r = k - 218, -r = 5*k - 1132. What is the units digit of k?
6
Let c(z) = z**2 + 8*z + 2. Let n be c(-8). Suppose -462 = n*m - 4*m. Let g = 412 - m. What is the hundreds digit of g?
1
Let h(k) = -2*k**2 + 13*k - 80. Let p be h(14). Let l = p + 376. What is the units digit of l?
6
Let n = 1551 + -822. Let c = n - -941. What is the hundreds digit of c?
6
Let s(a) = 220*a**2 - 21*a + 6. What is the hundreds digit of s(-4)?
6
Suppose 90767 = 4*l + 3*x, 5*x = -54*l + 59*l - 113415. What is the thousands digit of l?
2
Suppose -20 = -10*q + 30. Suppose -4*f + f + 12 = 0. Suppose -5*z = -q*c - 310, 4*z - 3*c - 243 = -f*c. What is the units digit of z?
1
Suppose 5*k = -5*u - 0*u, 0 = 5*k + u - 20. Suppose 2*y + k = 3, -4*f - 5*y + 27 = 0. Let b(i) = 2*i + 1. What is the units digit of b(f)?
7
What is the thousands digit of 3003414/493 - (-6)/(-51)?
6
Suppose -59*o - 192 = -75*o. Suppose 4*s + o = 0, -2*d + 319 = 7*s - 4*s. What is the hundreds digit of d?
1
Let b(m) = m**2 + 4*m + 9*m**2 + m**3 - 20 - 3*m. Let q be b(-12). Let i = -178 - q. What is the hundreds digit of i?
1
Let s = 33182 + -33190. Suppose -2*k - 2148 + 10722 = 5*j, j - 1706 = 4*k. What is the tens digit of s/(-24) - j/(-6)?
8
Let h(p) = -2*p + 4. Let u be h(11). Let n be (-7)/(4 + u/4). What is the units digit of 5604/84 - (-4)/n?
7
What is the thousands digit of 1258 - (7 + 7 + -14)?
1
Let c be (4 - (3 - 0))/((-2)/(-18)). Let o(p) = p**3 - 7*p**2 + 11*p + 9. Let t be o(c). Let r = -180 + t. What is the tens digit of r?
9
Let p = 7362 + -3193. What is the thousands digit of p?
4
Suppose -8 = 4*o, -598 = 4*d - o + 1200. Let q = -287 - d. What is the hundreds digit of q?
1
Suppose 5*p = 3*r + 291341, -7*r + 5*r = -4*p + 233074. What is the hundreds digit of p?
2
Let c(d) = -30*d - 18 - d**2 - 7*d**2 - d**3 + 26*d**2 - 4*d**2. What is the tens digit of c(11)?
1
Let u(b) = -2*b**2 - 29*b + 51. Let a be u(-16). Suppose -a*z = -2*t - 1948, 3581 = 5*z + 4*t + 371. What is the hundreds digit of z?
6
Let n(l) = 4*l + 25. Let z be n(-7). Let y be ((-232)/6)/(2/z). Suppose -y*h + 54*h = -308. What is the tens digit of h?
7
Suppose -5*w + 12 = -3, 2*i + 5 = 3*w. Let u = 339 - 337. What is the units digit of ((-10)/3)/(i*u/(-144))?
0
Let m = -53 + 122. Let o = m + 179. What is the units digit of o?
8
Let l(k) = 69*k - k**2 - 30*k - 28*k - 18. Let t be l(8). Let d(y) = -2*y + 13. What is the units digit of d(t)?
1
Let i be 3/(-8) + 241339/(-184). Let v = -350 - i. What is the units digit of v?
2
Suppose -19 = -26*o + 111. Suppose -3*q + o*f + 1720 = q, -5*q + 4*f = -2150. What is the tens digit of q?
3
Suppose 2*h - 208 = -3*z + 5923, 0 = 2*z + 6. What is the tens digit of h?
7
Let u(p) = 10 + 10 - 167*p - 17. Let n be (-2 + 0 + 3)*(3 - 4). What is the tens digit of u(n)?
7
Let o = 13366 - -8482. Suppose 30*u = -3008 + o. What is the units digit of u?
8
Let r(i) = 2*i**2 - 24 - 38*i + 19*i + 18*i. Let p be r(14). Suppose 3*h - 357 = -3*n, p = 2*h + h + 2*n. What is the tens digit of h?
1
Suppose -3*w - 3*t + 51065 + 22285 = 0, -2*t - 122264 = -5*w. What is the tens digit of w?
5
Let j(x) = x**2 - 4*x - 2. Let y be j(4). Let b be y/3 - 25404/(-36). Let s = b - 501. What is the tens digit of s?
0
Suppose -1497 = 4*z - u, 0 = z - 0*u + 4*u + 353. Let r = z - -527. What is the tens digit of r?
5
Suppose 2*n = n + 5. Suppose 635*i - 632*i - 609 = -3*v, 4*v + 2*i = 822. Suppose -137 - v = -n*f. What is the units digit of f?
9
Let q be (-4)/(-104)*-4 - 6/(-39). Suppose 5*s - 3*v - 5078 = q, -2*v - 492 = -2*s + 1540. What is the units digit of s?
5
Let g(j) = 21*j**2 + 23*j - 55*j**2 + 18*j**2 + j**3 + 30*j - 16. What is the thousands digit of g(17)?
1
Suppose -3*d = 3*w, 45 = -2*w + 7*w - 4*d. Suppose w*n + 2*n = 2646. What is the tens digit of n?
7
Suppose -18682 = -2*s - j, 2*s - 118*j + 122*j - 18706 = 0. What is the hundreds digit of s?
3
Suppose -39*u - 5604 = -4*u - 36999. What is the tens digit of u?
9
Let h(d) = 6*d + 253. Let p be h(-35). Suppose p*a = 5*a + 2736. What is the tens digit of a?
7
Let f(p) = p**2 - 20. Let i be f(5). Let y(k) = 6*k**3 - 6*k**2 + 33*k + 2. What is the tens digit of y(i)?
6
Let t(f) = 11*f - 4. Let a be t(-3). Let v(r) = 29*r + 62. Let n be v(2). Let d = n + a. What is the units digit of d?
3
Suppose 23*p = 19*p + 1132. Suppose -p*b + 278*b = -310. What is the units digit of b?
2
Let c be (1744/(-7) + -8)/((-1)/21). Suppose c = -q + 4*q. What is the units digit of q?
0
Let y = 16480 + -3295. What is the units digit of y?
5
Suppose 123105 = 4*u - 3*r, 21*u - 3*r = 22*u - 30750. What is the tens digit of u?
7
Let i = 297 + -418. Let r = 130 + i. Let x(k) = 9*k + 59. What is the hundreds digit of x(r)?
1
Let p be (-44)/11 - (-3 + (-4 - 0)). Suppose -3*x + 126 = 4*y - 432, 0 = 5*x - p*y - 930. What is the hundreds digit of x?
1
Let z = 144 - 136. What is the hundreds digit of 1 - ((-172)/z)/(2/32)?
3
Let m(q) be the third derivative of 23*q**5/60 + 7*q**4/24 + 2*q**3 + 14*q**2. Let h be m(-4). Suppose n = 2*n, h = 4*c - 2*n. What is the units digit of c?
8
Suppose 0 = 3*v - v - 734. Let p = -207 + v. Suppose 68 - 12 = w + 4*f, 3*w + 4*f - p = 0. What is the tens digit of w?
5
Suppose 0 = 5*l + 886 + 1854. Let p = -133 - l. What is the tens digit of p?
1
Suppose 0 = 33*t - 123*t + 402765 + 953535. What is the hundreds digit of t?
0
Suppose 70282 = 3*j + 2*i, -4*i + 7020 + 110120 = 5*j. What is the tens digit of j?
2
Let g be 8/(-6) - (-974)/6. Suppose -4*h - 2*u + g - 37 = 0, 0 = -h - 4*u + 45. What is the tens digit of h?
2
Let x = 7135 + 1679. What is the hundreds digit of x?
8
Let w(i) = 3*i + 0*i + 2*i**2 - 9 + 2*i. Let a be w(5). Suppose -j = -a - 61. What is the tens digit of j?
2
Suppose 10*j = 16771 + 19889. What is the thousands digit of j?
3
Let z(w) = -5*w - 12. Let t be z(-3). Let c(q) = 17*q - 5*q + 5*q - 12 - t*q. What is the units digit of c(5)?
8
Suppose 9*s + 3361 - 25978 = 0. Suppose -s = -11*i + 18*i. Let t = -183 - i. What is the hundreds digit of t?
1
Suppose -3*f - 20 = -32. Suppose f*l = 1388 + 760. Suppose -16*u - l = -2377. What is the units digit of u?
5
Let o(y) = 276*y**3 + 5*y**2 - 5*y - 4. Let z be o(3). Suppose 5949 = 29*m - z. What is the hundreds digit of m?
4
Let f be (-3 - (2 - 4))*77/11. Let w(p) = -p**3