8. What is the ten thousands digit of k?
2
Suppose 40 = 5*o + 5*o. Suppose -10 = -5*c, 2*a - o*c + c = -164. Let m = a - -132. What is the units digit of m?
3
Suppose 1098107 = 56*t - 817485. What is the thousands digit of t?
4
Suppose -3*z - 10*z = -14014. Suppose z + 43 = a + c, 5*c = a - 1097. What is the thousands digit of a?
1
Let o(x) = -x**3 + 6*x**2 - 4*x + 4. Let i be o(5). Let s(r) = 2*r - 12. Let w be s(i). Suppose 2*d = 5*y + w*d + 11, 2*d + 8 = 0. What is the units digit of y?
1
Suppose -3*k - 12 = -6*k. Let c be -1 - 138/(-7 + k). Let r = 56 - c. What is the units digit of r?
1
Let o be 8/(-12)*-6*(-1)/(-1). Suppose -o*t = -m - 1069, -m + 0*m = -5*t + 1336. What is the units digit of t?
7
Let t = 4980 + -3497. What is the thousands digit of t?
1
Suppose -160*w + 155940 = -78*w - 76*w. What is the thousands digit of w?
5
Suppose -2828*g + 2827*g - 52792 = -2*a, -5*g = 5*a - 131965. What is the ten thousands digit of a?
2
Let d(v) = -3*v**2 + 36*v - 65. Let r be d(15). What is the tens digit of ((-1017)/6)/(5/(r/12))?
6
Let b = 554 - 554. Suppose -y + 4*c + 770 + 323 = b, 4*y - 4432 = -4*c. What is the units digit of y?
5
Let d = 8387 - -11820. What is the tens digit of d?
0
Let k be (9/12*(-8)/(-2))/1. Suppose 733 = h - 4*b, -17 - k = -5*b. What is the hundreds digit of h?
7
Let u = 200 - 198. Let o(w) = 5*w + 4. What is the tens digit of o(u)?
1
Let q(g) = -980*g**3 + 2*g - 4*g**2 + g - 5*g + g**2 - 5*g - 4. What is the hundreds digit of q(-1)?
9
Let d be -1620 + -2 + (25 - 26). Let u = -700 - d. What is the units digit of u?
3
Let f(p) = 119*p**2 + 8*p - 2. Let a be f(2). Let c = -245 + a. Suppose -4*s + c = 3*w + s, -81 = -w - s. What is the units digit of w?
0
Let i(p) = -p**3 + 15*p**2 - 26*p + 3. Let q be i(13). Suppose z + 5*m = 563 + 783, 4*m = q*z - 4133. What is the units digit of z?
1
Suppose 0 = 5*s - d - 36, 3*s - 17 = -2*d - 2*d. Suppose 4*u - 126 = -3*p, -2*p + 2*u - s = -77. What is the units digit of p?
8
Let q = 15905 + -7291. What is the thousands digit of q?
8
Suppose -5*w + 79 = h - 75, -5*h = 3*w - 110. Let x be 261/(-6)*4/6. Let k = w + x. What is the units digit of k?
1
Let i(k) = -20*k + 66. Let c(j) = -6*j - 3*j + 123 - 90 - j. Let h(b) = 5*c(b) - 3*i(b). What is the hundreds digit of h(23)?
1
Let o(w) = w**3 - 7*w**2 - 19*w + 11. Let b be o(9). Suppose -3*u - 12 = 0, b*u + 15 = 5*q - 8. Suppose -3*x - q*x + 282 = 0. What is the units digit of x?
7
Let j be (-3755)/(-6) - (-49)/294. Suppose -5*d + 4939 = -j. What is the tens digit of d?
1
Let m(j) = -8*j**3 - 14*j**2 - 8*j - 61. What is the hundreds digit of m(-6)?
2
Let s = 2455 + -2077. What is the tens digit of s?
7
Suppose 0 = -4*m + 2*g + 47135 + 21367, -2*g = 4*m - 68490. What is the units digit of m?
4
Let a(t) = 144*t**2 + 4*t - 74. What is the hundreds digit of a(-8)?
1
Let i(d) = 63*d - 32. Let j be 15 + -5 + (1 - 1)/(-3). Let u be i(j). Suppose 36 = -2*q - s + u, 4*s + 854 = 3*q. What is the hundreds digit of q?
2
Let y = 202 + -197. Suppose -3*z + 306 = 3*m, -510 = -y*z + 4*m - 3*m. What is the hundreds digit of z?
1
Let o = 41177 + -28833. What is the units digit of o?
4
Suppose -4*r - 3 = 2*g - 5, 3*g + 21 = 2*r. What is the units digit of (-1)/g + (-25757)/(-215)?
0
Let c = 34676 + -24506. What is the thousands digit of c?
0
Let l(w) = 56*w - 17. Let s = 82 + -79. Let k be l(s). Let r = -21 + k. What is the units digit of r?
0
Let u = -1263 - -11486. What is the hundreds digit of u?
2
Let y = -91 + 90. Let k be 7/(y/(-92)*(-10)/(-5)). Suppose 0 = 4*t - 6*t + k. What is the units digit of t?
1
Let h = 83 + -142. Let t = -53 - h. Suppose t*d = -30 + 696. What is the units digit of d?
1
Suppose q + 4*j + j = 180, 0 = -4*q - 2*j + 810. Let d = -267 + 146. Let p = d + q. What is the units digit of p?
4
Suppose -2*a + o + 7562 + 2870 = 0, -5*a + 26083 = -o. What is the hundreds digit of a?
2
Suppose -3*k + 6 = 5*x, -2*x - 1 = 4*k - 9. Let v(p) = -p**3 + 2*p**2 - p. Let q be v(x). What is the units digit of -1 + (-4 + q - -105)?
0
Let x = 86 - 80. Let k be 5*((-1)/x - (-35)/30). Suppose -k*v - 416 = -1171. What is the tens digit of v?
5
Suppose z + 0*z = 0. Suppose z = s - 5*y + 27, y + 3*y = -s + 18. What is the units digit of s + 6*(1 - (-4)/(-24))?
3
Let m(y) = 162*y - 1. Let o(l) = 486*l. Let g(c) = -11*m(c) + 4*o(c). What is the hundreds digit of g(3)?
4
Let a(f) = -5*f**2 - 115*f + 6. Let g be a(-23). Suppose p - 2890 = -5*h, 4*h - 10*p = -g*p + 2336. What is the units digit of h?
9
Let v(t) = -11*t**2 - 684*t - 110. Let u be v(-62). Suppose 9 = 3*g - 4*d + d, 0 = 3*d + 9. Suppose g = -u*l + 16*l - 400. What is the units digit of l?
0
Let t(v) = v + 1. Let o(k) = -4*k - 45. Let m(h) = -2*o(h) - 22*t(h). What is the tens digit of m(-32)?
1
Let d = 8010 - -5160. What is the ten thousands digit of d?
1
Let m(d) = -14*d + 13. Let i = 77 + -77. Suppose 8*v + 35 - 3 = i. What is the units digit of m(v)?
9
Let o(h) = -h**2 + 5*h - 10. Let n(y) = y**2 - 6*y + 9. Let j(v) = 2*n(v) + 3*o(v). Let t be j(-3). What is the units digit of (-6942)/(-90) - (-4)/t?
7
Let n(r) = -2*r**2 - 25*r + 17. Let o be n(-13). What is the tens digit of 1928/o - -2*(-5)/2?
7
Suppose 0 = 5*u + 4*o - 4746, -5*u - o + 5*o + 4714 = 0. Let k = 1401 - u. Suppose -5*a + k = 5*c, 3*c = 5*c + 3*a - 181. What is the tens digit of c?
9
Let n(a) = 48*a**2 + 84*a + 4192. What is the ten thousands digit of n(-42)?
8
Suppose -2*q - 5*f - 1327 = 0, 6*q + 5*f = 2*q - 2629. Let g = -443 - q. Suppose g - 44 = 4*z. What is the units digit of z?
1
Suppose -5*d + f = -269906 - 15216, -8*d = 5*f - 456149. What is the thousands digit of d?
7
Let v(z) = 432*z + 652. What is the hundreds digit of v(12)?
8
Let d = -2697 - -4751. What is the units digit of d?
4
Let q(z) = -2*z**3 + 2*z**2 - 5*z - 7. Let o(b) = b - 4. Let f be o(13). Suppose f*m - 3 = 10*m. What is the tens digit of q(m)?
8
Let a = 143 - 139. Let q be (-502)/(-8) - (-1)/4. Suppose -f = a*i - i - 3, -5*i = -4*f + q. What is the units digit of f?
2
Suppose 0 = -r - n - 0*n + 748, 0 = 5*n. Suppose -8*x + r = -68. Suppose -8*g = -4*g - 2*c - 366, 0 = -g + 4*c + x. What is the tens digit of g?
9
Let x(i) be the first derivative of i**4/4 + 13*i**3/3 + 4*i + 8. Let z be x(-13). Suppose 0 = 2*s - p - 111, -s + z*p + 14 = -31. What is the tens digit of s?
5
Suppose 0 = r - 3*z - 51, -680 = r - 2*z - 726. Let v(x) = 2*x - 2. Let w be v(-2). Let s = r - w. What is the units digit of s?
2
What is the tens digit of 212*49 - (-25 - -42)?
7
Let i be (-4 - 216/(-30))/(2/5). Let f(k) = 3*k**3 - 9*k**2 - 7*k + 89. What is the tens digit of f(i)?
9
Suppose 0 = 5*l + 4*w - 2, w - 2 = 3*l + 5*w. Let t(b) = 568*b + 52. What is the units digit of t(l)?
8
Let d(h) = -4*h - 6. Let o be d(15). Let v be o + (10/15)/(4/18). Let n = v - -77. What is the tens digit of n?
1
Let j(b) = -35*b - 35. Let y(x) = -71*x - 74. Let g(a) = 5*j(a) - 2*y(a). Suppose 0*l = -5*w + 3*l - 29, -3*l - 41 = 5*w. What is the tens digit of g(w)?
0
Let a be 12/78 + (-1348)/(-26). Let q be 63*1*(a/6 - -3). Suppose -10*p + 15*p - q = 0. What is the hundreds digit of p?
1
Suppose -2*k = 14, 0 = -17*s + 16*s + 3*k + 10452. What is the thousands digit of s?
0
Suppose 0 = 83*y - 115*y + 47638 - 374. What is the hundreds digit of y?
4
Let g(c) = c**3 + 7*c**2 + 10*c + 8. Let u be g(-5). What is the tens digit of 23*(17/5 + u/(-20))?
6
Let h(m) = 138*m**2 - 171*m + 2001. What is the thousands digit of h(11)?
6
Suppose -1804753 + 5563193 = 38*k + 18*k. What is the ten thousands digit of k?
6
Suppose 3*w - 41860 = -4*u + 125207, -2*u = -w + 55689. What is the units digit of w?
9
Let t = -7033 - -14689. What is the hundreds digit of t/15 - 16/40?
5
Let g be ((-7)/14*26)/1. Let s(l) = -l**3 - 10*l**2 + 28*l + 2. What is the hundreds digit of s(g)?
1
Suppose -2*k - 8 = -4*u, 1 = -2*k - 3*u + 7. Suppose 239 = d + 4*t, 792 = 3*d - k*t - 3*t. What is the tens digit of d?
5
Let j(c) = -5*c**3 - 11*c**2 + c + 4. Let i(x) = 4*x**3 + 11*x**2 + x - 4. Let u(o) = 6*i(o) + 5*j(o). What is the tens digit of u(11)?
1
Let a(m) be the third derivative of 13*m**5/60 + m**4/2 + 10*m**3/3 - 43*m**2 - m. What is the tens digit of a(-8)?
5
Let w = 11895 - 5756. What is the hundreds digit of w?
1
Suppose 1361*d 