Let c be j(13). What is the thousands digit of (6/(-14)*-21)/(c/250)?
1
Let y = 123044 - 74693. What is the thousands digit of y?
8
Suppose -34*b + 39*b - 198369 = -2*v, -5*b - 5*v = -198390. What is the ten thousands digit of b?
3
Let t = -34 - -63. Suppose -10*s = -673 - 57. Let l = s + t. What is the hundreds digit of l?
1
Let i(m) = 214*m + 104. Let k(n) = 216*n + 103. Let v(c) = -6*i(c) + 7*k(c). What is the tens digit of v(2)?
5
Let n = -42 + 65. Suppose -2*u - o = -n, -2*u - 3*o = 2*o - 27. Suppose -7*i + u*i - 216 = 0. What is the units digit of i?
4
Suppose 0 = 3*w + m - 43, -5*w = -6*m + 4*m - 68. Suppose -w*y + 1560 = -2*y. What is the units digit of y?
0
Let g be 7*13/(-455) + 166/5. Let v(n) = n**3 - 32*n**2 - 11*n - 132. What is the units digit of v(g)?
4
Suppose 5*m = r - 7779, -41*r + 38*r + 23397 = -5*m. What is the thousands digit of r?
7
Let i(s) be the second derivative of 2/3*s**4 - 1/20*s**5 + 2*s**3 - s**2 + 0 + 26*s. What is the units digit of i(5)?
3
Suppose -203*y + 209*y = -162. What is the hundreds digit of 4628*(-3)/y - (-2)/(-9)?
5
Let m(h) = 1402*h**3 + 4*h**2 + 59*h - 159. What is the units digit of m(3)?
8
Suppose 31*z = 30*z - 4*a + 45233, -3*z + 135644 = a. What is the tens digit of z?
1
Let b(t) = -t**3 + 66*t**2 - 262*t - 248. What is the units digit of b(59)?
1
Let l = -25 - -26. Let m be l*9*(-7 - -33). Let q = m - 163. What is the units digit of q?
1
Suppose 5*s + 22 = 3*p - 0*p, 3 = 3*s. Suppose t - 5*a = p, -4*t - 4*a + 2*a = 8. What is the tens digit of (-94)/(-1)*t/(-2)?
4
Suppose a + 10 = 17. Let k be -2 + 5 - (9 - a). Let w(z) = 74*z**3 + 3*z**2 - 2*z. What is the units digit of w(k)?
5
Suppose 4*u - 60 = -15*t + 11*t, 0 = t + 5*u - 31. Suppose t*p - 2348 = 8817. What is the units digit of p?
5
Suppose -4*s = 2*p - 10, -11*s + 4*p = -7*s - 40. Suppose 2*m - s*j = 855, -11*j + 13*j = 3*m - 1266. What is the units digit of m?
0
Suppose 867647 + 3011231 + 2546884 = 203*q. What is the tens digit of q?
5
Suppose -11397*r = -11510*r + 8964403. What is the ten thousands digit of r?
7
Let w(t) = -t**3 + 60*t**2 - 93*t + 104. What is the tens digit of w(49)?
5
Suppose -9*p - 2*b + 6354 = -5*p, 5*b - 7935 = -5*p. Suppose 27*o - 17*o = p. What is the units digit of o?
9
Suppose -5*n = -15 - 165. Suppose -r - r = -n. Suppose 0 = r*s - 23*s + 215. What is the tens digit of s?
4
Let s(n) = -2*n**3 + 4*n**2 + 2*n - 18. Let k = 105 - 109. What is the units digit of s(k)?
6
Let p = 22 - 19. Let h be (p - (3 - 3)) + 94. Let i = h - -12. What is the hundreds digit of i?
1
Let w(t) = -4723*t + 2502. What is the ten thousands digit of w(-2)?
1
Suppose 8*c = -3*l + 4*c + 224, -3*l + c = -199. Let q = 295 - 191. Suppose -q = -o + l. What is the hundreds digit of o?
1
Suppose -259 = -3*g + 2*g - 3*a, 1295 = 5*g + 4*a. Let f(p) = 43*p + 8. Let r be f(3). Let m = g - r. What is the tens digit of m?
2
Suppose 5*n - 4*l = 4570, -9*l - 914 = -n - 5*l. What is the hundreds digit of n?
9
Let k = 43 + 215. Suppose 2*g = -5*v + k, -g + 95 + 8 = -4*v. What is the tens digit of g?
1
Let m(q) = 994*q**2 - q - 74 + 987*q**2 - 1970*q**2. What is the tens digit of m(11)?
4
Let n(t) = -6*t + 28. Let z be n(4). Suppose -5*k + 1416 = z*p, k + 852 = 4*k + 3*p. What is the tens digit of k?
8
Suppose 5*q = -a + 1971, -5*q = 5*a - q - 9876. Suppose -a = -4*l - 504. What is the hundreds digit of l?
3
Suppose 4*c = q - 16069, 0 = 5*q - 5*c - 19525 - 60790. What is the thousands digit of q?
6
Let n(m) = 62*m - 7. Suppose 299 = -5*z - 2*f + f, 5*f + 295 = -5*z. Let b = -58 - z. What is the hundreds digit of n(b)?
1
Let f(r) = 58*r**2 - 19*r - 36. Let x be f(-5). Suppose 6*z - x = 375. What is the tens digit of z?
1
Let c be (-8)/(-12) + 172/(-6). What is the tens digit of 21/(5 - (-128)/c)?
4
Let a = 58727 - 31205. What is the thousands digit of a?
7
Suppose k + 25*s - 15735 = 19*s, -5*s = 5*k - 78550. What is the units digit of k?
5
Let c(d) = 13*d - d - 47 - 36*d**2 + 35*d**2 + 20. Let x be c(8). Suppose -g = x*r - 32, 3*g + r = 69 - 1. What is the tens digit of g?
2
Suppose k = -2*m + 11939, 3*m - k + 885 = 18786. What is the units digit of m?
8
Let a be 30/(-105) - (157329/(-21))/3. Suppose 0 = 5*x + 432 - a. What is the tens digit of x?
1
Let q = -4457 + 16263. What is the thousands digit of q?
1
Let k be 1 + 0 + (1 + 2 - 2). Suppose 0 = -2*y + 3*z + 508, -4*z + 268 = y - k*z. What is the tens digit of y?
6
Let i be 1*(-6)/2 - -4. Let p be 1/2*(5 + i). Suppose 144 = p*x + 3*r, 3*x + 0*x = -4*r + 143. What is the tens digit of x?
4
Let k(y) = y - 12. Let g be k(-4). Let m be (8/g)/(-1 + 282/284). Let c = m - 28. What is the units digit of c?
3
Suppose -8*z - 5*q = -3*z - 155, -2*z - 5*q + 77 = 0. Suppose 28 + z = 3*c. What is the tens digit of c?
1
Suppose 5*f - 1281 - 5069 = -d, 4*d + f = 25305. Suppose d = 28*q - 23*q. What is the units digit of q?
5
Let q be 2706/(-44)*(-3 + 1 - 10). Suppose 6998 = 8*k - q. What is the tens digit of k?
6
Suppose 3*x = w, 4*w - 3*x - 15 - 12 = 0. Suppose -2*j - w*j + 4257 = 0. Suppose -5*q + j = 3*o - 118, -4*o - 5*q + 675 = 0. What is the hundreds digit of o?
1
Let y(u) be the second derivative of 0 - 15/2*u**2 - 2*u**3 - 2*u. What is the units digit of y(-11)?
7
Let u(f) = -7*f**3 + 6*f**2 + 19*f + 4. Let d(l) = l**2 + 2*l + 1. Let z(h) = -6*d(h) + u(h). What is the units digit of z(-6)?
8
Let j(h) = -1640*h + 4832. What is the tens digit of j(-19)?
9
Let w(j) = -1020*j - 5335. What is the ten thousands digit of w(-30)?
2
What is the hundreds digit of 9*20/30 + 3881?
8
What is the units digit of 981/2*42/15*(-50)/(-10)?
7
Suppose 4*h + 14 = 11*h. Suppose -2 = -g, -t - 84 = -5*t - h*g. Suppose -t*s = -17*s - 417. What is the hundreds digit of s?
1
Let k(t) = -t**3 + 2*t**2 - 6*t - 7. Suppose -29 = 3*d + 4*z, -2*d - 2*d - 27 = 3*z. Let b be k(d). Let r = 87 - b. What is the tens digit of r?
3
Let i(m) = 1722*m - 2278. What is the thousands digit of i(4)?
4
Let w be (-6)/2 + (8 - 0). Suppose -w*r + 18 = -2*r. Suppose r*g = 5*g + 75. What is the tens digit of g?
7
Let m(k) be the second derivative of k**4/6 - 5*k**3/6 + 44*k**2 + 13*k - 2. What is the tens digit of m(0)?
8
Let a(u) = -5*u - 55. Let m be a(-20). Let i be (9/(-45))/((-3)/m). Suppose -i*q = -2*j - 213, j + 0*j - 135 = -2*q. What is the units digit of q?
9
Let b(d) = 4358*d - 2982. What is the hundreds digit of b(11)?
9
Let n(k) = 813*k + 565. What is the tens digit of n(15)?
6
Suppose 4*c - 108 + 388 = 0. Let g(f) = f**3 + 132. Let n be g(0). Let s = c + n. What is the tens digit of s?
6
Let d = -2 + 1. Let i(x) be the second derivative of -19*x**5/10 + x**4/12 + x**3/2 + x**2 + 2*x - 503. What is the tens digit of i(d)?
3
Suppose 3*f + n - 101 = -n, 0 = 5*f - 5*n - 185. What is the units digit of (-10)/f - 2579*(-9)/21?
5
Suppose p + 4 = 2*p. Let j(l) = 775*l + 2*l**2 + 20 - p - 779*l. What is the tens digit of j(3)?
2
Let w(z) = -z**3 - 5*z**2 - 3*z + 8. Let a be w(-4). Let o be (-11)/(33/18)*(-2)/a. Suppose 5*q - 359 = -t - o*t, 2*t - 5*q = 157. What is the units digit of t?
6
Suppose -4*b + 12 = 0, -7174 = -z - 4*z - 3*b. What is the thousands digit of z?
1
Let z(x) be the first derivative of 33*x**3/2 + 5*x**2/2 + 46*x + 14. Let w(m) be the first derivative of z(m). What is the units digit of w(2)?
3
Suppose -5*c + 4*o = -25 - 26, -2*c = o - 23. Let m = c + -15. What is the tens digit of 41/1 + m/(-1)?
4
Let r(w) = 81*w**2 - 28*w + 436. What is the thousands digit of r(14)?
5
Suppose 24 = 11*n - 8*n. Suppose -r + 28 = -n*r. What is the tens digit of (-252)/r*((-14)/6 + 3)?
4
Let y(q) = 70*q + 537. What is the tens digit of y(77)?
2
What is the tens digit of ((455/21)/((-1)/(-28)))/((-62)/(-5301))?
7
Let c = 43573 + -30406. What is the ten thousands digit of c?
1
Let t(q) = -2722*q - 14636. What is the units digit of t(-6)?
6
Let u(h) = -5*h**2 - 60*h - 32. Let q(t) = -4*t**2 - 59*t - 31. Let i(d) = -6*q(d) + 5*u(d). What is the units digit of i(16)?
4
Suppose 4*g - 106 = 3*h, 4*h + 53 = 3*g - 93. Let j = h + 503. What is the tens digit of j?
6
Suppose 10*q + 905 = 15*q. What is the tens digit of q + (54/(-6) - -5)?
7
Let y(v) = 0*v**2 - 8*v**2 + 10*v**2 + 9*v. Let x be y(-5). Suppose -4*m = x*d - 271, -3*m + 0*m - 3*d + 201 = 0. What is