e 33 = -20*z + 133. Suppose -5*n + 8*g = 5*g - 1874, 4*n - 1477 = -z*g. What is the units digit of n?
3
Suppose -16*i = -27*i + 280800 + 112439. What is the ten thousands digit of i?
3
Suppose -r = -4*x + 17447, -20*x + 15*x + 2*r = -21805. What is the tens digit of x?
6
Let o(f) = 487*f**3 - f**2 + 3*f + 2. Let a be o(-1). Let g = -277 - a. What is the tens digit of g?
1
Suppose 5*t + 10*t = 3435. Suppose -5*l = -2*q + 459, q = -l + 4*l + t. What is the tens digit of q?
3
Suppose 28178*a - 28210*a + 1611232 = 0. What is the units digit of a?
1
What is the tens digit of ((73 + -49)/24)/((-2)/(-40864))?
3
Let n = -174 - -176. Suppose -2*m + 8*t = 11*t - 1971, -n*m + 1965 = t. What is the units digit of m?
1
Let j(s) = s**3 + 20*s**2 - 4*s - 35. Let k = -113 + 126. Suppose -2*z = 3*m + 52, 5 - k = -2*z. What is the units digit of j(m)?
5
Let i = 14 - 11. Suppose -2*u + i = u. What is the units digit of u?
1
Suppose 5*j + t = 51598, 61*t = 2*j + 66*t - 20630. What is the ten thousands digit of j?
1
What is the hundreds digit of (6/(-24) + 50/8)*141526/42?
2
Let d(l) = 179*l**3 + 5*l**2 - 38*l + 115. What is the hundreds digit of d(3)?
8
Suppose 62075 + 32402 = 7*t - 8773. What is the thousands digit of t?
4
Let t(m) = 196*m**3 - 14*m**2 + 63*m - 33. What is the units digit of t(6)?
7
Let z(j) = 2*j**2 + j**2 + 49*j - 1 - 41*j. What is the tens digit of z(16)?
9
Suppose -243*g = -241*g + 2, -3*k = g - 36509. What is the ten thousands digit of k?
1
Suppose 0 = 5*j - 33*j + 84. What is the units digit of 28/(-6) + j - (-8900)/12?
0
Let r = 29 - -18. Suppose -3*t + 31 = -4*t + q, -4*q - 12 = 0. Let s = r + t. What is the tens digit of s?
1
Suppose 0 = -457*w + 510*w - 429082 - 77174. What is the thousands digit of w?
9
Let b(h) = h**3 + 19*h**2 + 361*h + 32 + 21 - 325*h. What is the units digit of b(-16)?
5
Suppose 3*o - 14 = -4*o. Let i(y) = y**3 + 11*y**2 + 6. Let g be i(-11). What is the tens digit of 0/(g/o) + 127?
2
Suppose 3*u - 6633 - 26200 = -h, 0 = u - 8. What is the thousands digit of h?
2
Let h(r) = 4*r**2 - 9*r + 10. Let y be h(16). Suppose -2*d = 5*u + 446 - 1306, y = 5*u - 4*d. What is the units digit of u?
4
Let n = 19092 - 6360. What is the units digit of n?
2
Let q(a) = -7917*a - 2647. What is the units digit of q(-5)?
8
Suppose 4*w = 25 + 7. Let j be (4/w)/((-3)/(-24)). Suppose z - 20 = -d - 0*d, 0 = j*z + 16. What is the units digit of d?
4
Let s(j) = j**3 + 4*j**2 - 7*j + 4. Suppose 0 = 3*a - t - 5, -3*t = -4*a + 8*a - 11. Let z be s(a). What is the tens digit of (-614)/(-7) - (-4)/z?
8
Suppose -6*x + 138865 = -7061. What is the units digit of x?
1
Let b = 22165 + -14796. What is the units digit of b?
9
Let b be 3 + -1 + -4 - 4. Let v be (21/(-6))/((-3)/b). Let w = 19 - v. What is the units digit of w?
6
Let u = 444 - 160. Suppose o + 2 = -3*v, -2*o - 6 = o + 5*v. What is the tens digit of o/1 - u/(-4)?
6
What is the units digit of 38004*((-2070)/(-108) + -18)?
8
Let l = -12 - -15. Let q(z) = -9 + 3*z**3 + 2*z - z**3 - 21*z + 12*z**2 - l*z**3. What is the units digit of q(6)?
3
What is the tens digit of 3497747/211 + -2*1 + 0?
7
Let x(w) = -w**2 + 16*w + 18. Let r be x(17). Let f be 2*r*(-5)/(10/(-106)). Let i = f - 28. What is the tens digit of i?
7
Let r(x) = -34*x + 3. Let d be (2/(-4))/(((-27)/30)/9). Let q(z) = -33*z + 2. Let v(y) = d*q(y) - 6*r(y). What is the tens digit of v(3)?
0
Let r be (4/(-1 - 0))/(2 - 0). Let s be -3 - (r/6 - 34/6). What is the tens digit of 174*(s/(-2))/(-3)?
8
Suppose -6*f + 1220 - 506 = 0. Suppose 10*j - f = -409. Let k = -9 - j. What is the tens digit of k?
2
Suppose 10*d = 20*d + 2890. Let x = d - -419. What is the tens digit of x?
3
Let g = 3631 - 1332. What is the thousands digit of g?
2
Let t(d) = 191*d + 931. What is the units digit of t(62)?
3
Let k(m) = m**2 + 23*m - 5. Suppose -16*u = -14*u - 42. What is the tens digit of k(u)?
1
Let v = 31791 - 12528. What is the ten thousands digit of v?
1
Let t(p) = p**2 + 10*p - 6. Let j(s) = s**2 + 11*s - 7. Let r(i) = -2*j(i) + 3*t(i). What is the hundreds digit of r(8)?
1
Let d(o) = 2*o + 14. Let u be d(-6). Suppose -v + 4*v = 4*f - 17, -u*f - 2*v = 2. Suppose 3*a - 2*m + 3*m = 478, -318 = -f*a - m. What is the units digit of a?
0
Let k(q) = -4094*q - 3023. What is the ten thousands digit of k(-5)?
1
Suppose -84 = -31*v + 9. Suppose v*o + 1811 = 3*f + 44, -2342 = -4*f - 3*o. What is the hundreds digit of f?
5
Suppose 50*l - 51*l = -1401. Suppose -7871 + l = -5*z. Suppose 1028 = 18*t - z. What is the tens digit of t?
2
Let r(l) = 3503*l**2 - 138*l - 24. What is the hundreds digit of r(3)?
0
Let l be -1 + -13*(-8 - -10). Let i(n) = -6*n + 1. Let d be i(6). Let h = l - d. What is the units digit of h?
8
Suppose x - 10137 = -4*a + 12302, 4*a = 2*x - 44830. What is the ten thousands digit of x?
2
Suppose -3*w = 5*q - 61914, 0 = -3*q + w + 9147 + 27993. What is the ten thousands digit of q?
1
Suppose -118*x - 1112900 = -1229207 - 5116875. What is the thousands digit of x?
4
Let w = -10381 - -22748. What is the thousands digit of w?
2
Let l(j) = -7*j**2 + 26*j + 7. Let p be l(10). Let k = p - -440. What is the units digit of k?
7
Let u(t) = -t**3 - 9*t**2 + 17*t - 49. Let p = 627 - 640. What is the units digit of u(p)?
6
Let b(u) = 150*u**2 - 40*u - 9. Suppose 3*o - 8 + 1 = -2*y, -y = 4*o - 11. What is the tens digit of b(o)?
2
Let a(g) = -g**2 - 3*g + 11. Let n be a(-5). Suppose -8 - n = -3*h. Suppose -v - h*d + 133 = d, v - 2*d - 151 = 0. What is the tens digit of v?
4
Let g = -2677 - -3913. What is the thousands digit of g?
1
Let s(l) = -6*l**3 - 35*l**2 + 17*l + 29. What is the tens digit of s(-11)?
9
What is the thousands digit of (-16923)/(-9)*3*19/19?
5
Let i(t) = 3*t**2 - t + 21. Let l(o) = -4*o**2 + 2*o - 22. Let c(k) = -5*i(k) - 4*l(k). Let u be c(6). What is the units digit of (11 - -49) + (2 - u)?
1
Suppose -14*f - 7 = -91. Suppose -928 - 338 = -f*q. Suppose q = 5*b + 2*x, 0*b = 3*b - x - 120. What is the units digit of b?
1
Suppose -6*r + 23*r = 18020. Let w = r + 255. What is the thousands digit of w?
1
Suppose 11*x - 126843 = -3*j, x - 15*j + 20*j - 11569 = 0. What is the thousands digit of x?
1
Let f(w) = w**3 + w + 7. Let m be f(0). Let o = 918 + -913. Suppose o*l - 498 = m. What is the tens digit of l?
0
Let r(y) = -4551*y + 2919. What is the ten thousands digit of r(-5)?
2
Let y(w) = 324*w**2 - 70*w - 10. What is the tens digit of y(11)?
2
Let j be (3 - 5)*-4 + (-7 - -3). Suppose -5*a + 20 = 2*h, -6*h + j*h + 8 = 2*a. What is the units digit of 1/(a/18 - 6443/29682)?
4
Let t(s) = 266*s**2 - 20*s + 80. What is the hundreds digit of t(4)?
2
Let d be (7/(-2))/(44/(-8) - -6). Let b(q) be the first derivative of -3*q**2 - 13*q + 3. What is the units digit of b(d)?
9
Let z(p) = -p**3 + 2*p**2 + 6*p + 9. Suppose 4*l = 2*l - 14. Let t be z(l). Suppose -s = 5*s - t. What is the units digit of s?
8
Let f = -4688 - -4922. What is the units digit of f?
4
Let g(c) = 3*c**3 - 5*c**2 - 6*c - 44. Suppose -29*h = -26*h - 21. What is the units digit of g(h)?
8
Suppose -8*q + 13364 = -26348. Suppose 9*f = q - 1643. What is the units digit of f?
9
Suppose -14*x = -2*t - 19*x + 13, -3*t - x = -26. Suppose -t*i + 68 = -49. What is the units digit of i?
3
Suppose -5*u - 5*o = -9*o - 267836, 3*o - 267773 = -5*u. What is the hundreds digit of u?
5
Let f(j) = j**2 + 8*j - 5. Let s be f(-9). Let p be (6/s)/(6/268). Suppose -3*t + 416 = -p. What is the tens digit of t?
6
Let a(w) be the second derivative of 77*w**4/12 + w**3/2 - 4*w**2 + 3*w + 18. What is the hundreds digit of a(-3)?
6
Let p(k) be the second derivative of k**4/6 + 3*k**3/2 - 7*k**2/2 + 37*k. Let n be p(-5). What is the hundreds digit of (n/(-3))/((-16)/(-4920))?
2
Suppose -m - 18*o + 13*o = -128, 0 = -4*o + 12. What is the tens digit of m?
1
Let x(s) be the third derivative of s**5/20 - 7*s**4/6 - s**3/6 + s**2 + 3*s. What is the units digit of x(13)?
2
Let z be -4 + (0/1 - -1). What is the units digit of ((23 + 0)*z)/((-27)/135)?
5
Suppose 44*v = 11*v + 66. Suppose -5*a + 3960 = 3*b, 3181 = 4*a - v*b + 7*b. What is the hundreds digit of a?
7
Let s = -244 + 346. Suppose -s - 151 = -11*y. What is the units digit of y?
3
Let n be (-30)/(3 + (-2)/1). Let f = -43 - n. What is the units digit of (f