he third derivative of t(k). What is the units digit of s(4)?
8
Let t(p) = -31*p - 10. Let l be t(-3). Let m = l + -62. Let n = 49 - m. What is the tens digit of n?
2
Suppose 0 = 2*z + 4, 5*f + 2*z + 29 = -5. Let d(u) = -u + 135. Let q(n) = 2*n - 271. Let l(p) = f*q(p) - 11*d(p). What is the hundreds digit of l(0)?
1
Let v be (1/(-3))/(1/3). Let c be (-922)/(-34) - 320/2720. What is the units digit of (c/(-36))/(v/4)?
3
Suppose -155 = 6*m - m. Let z = 35 + m. What is the tens digit of (-678)/(-9) - z/12?
7
Let j be 112/(-10) - (-1)/5. What is the tens digit of (8 - (-90)/j) + (-6382)/(-11)?
8
Let t(i) = 653*i + 8 + 651*i - 1313*i + 204*i**2. What is the tens digit of t(1)?
0
Let r(z) = 8*z**2 - z - 4. Let o = 70 + -27. Let j = 40 - o. What is the units digit of r(j)?
1
Suppose -8*s + 17*s = -8*s + 228446. What is the units digit of s?
8
Suppose w + 20 = -4*m + 6, 5*w - 4*m - 26 = 0. Suppose -w = -y, -5*y - 24 = 3*d - 2*y. Let l(h) = h**2 - h - 23. What is the tens digit of l(d)?
8
What is the hundreds digit of -6 + (6/(-39) - (-177864)/156)?
1
Let c(w) = 509*w**2 + 16*w + 14. What is the thousands digit of c(-6)?
8
Let l = -552 - -591. What is the units digit of (l/13)/((-3)/(-1217))?
7
Let z = 146797 - 64097. What is the thousands digit of z?
2
Let x be ((-29)/(-3))/((-16)/(-1392)). Suppose -10*j + x = -4739. What is the hundreds digit of j?
5
Suppose 7*j + 18 = 13*j. Suppose -g - 9337 = -8*n + 3*n, j*n - g = 5601. What is the hundreds digit of n?
8
Let r(b) = 2*b**2 - 11*b + 6. Suppose 0*o - 12 = -4*o, 3*u + o - 15 = 0. Let m be r(u). Let q(k) = k**2 + 5*k + 11. What is the units digit of q(m)?
7
Let n(a) = 6*a + 45. Let w be n(-7). Suppose -4*r - 3568 = -4*h, h - 6*r = -w*r + 900. Suppose 0 = -4*g + 12*g - h. What is the units digit of g?
1
Suppose -2374 = -3*i + 1751. Suppose 6*x = i + 299. What is the units digit of x?
9
Let a(v) = v**2 - 64*v + 2354. What is the units digit of a(-76)?
4
Suppose -7 - 8 = -3*b + 3*u, 5*b + u = 7. Let n(q) = 12*q - q**2 - 12 + 7*q + b*q - 2*q. What is the tens digit of n(12)?
7
Let n(t) = -5*t + 19. Suppose -c + 2*p = -40, -p - 124 = -4*c + 1. Let r = -43 + c. What is the tens digit of n(r)?
8
Let m be (1/6 + 4/(-6))*-4. Let p be (4 + -5)*18 + m. What is the units digit of -2*((-134)/36 + p/(-72))?
7
Suppose 12*k - 5*y - 56491 = 8*k, 4*y = 14*k - 197786. What is the hundreds digit of k?
1
Let b = -5 - 1. Let w be (-2041)/(-4) - b/(-24). Suppose w = 4*x + 142. What is the units digit of x?
2
Let r(g) = 17*g**3 - 12*g**2 - 13*g + 18. Let n be r(6). Suppose 0 = -27*f + 7*f + n. What is the units digit of f?
9
Let j(o) be the third derivative of -1/60*o**5 - 1/3*o**3 - 3/4*o**4 + 19*o**2 + 0 + 0*o. What is the tens digit of j(-15)?
4
Suppose -4*f + 39472 = -2*s, 3*s = -f + 2376 + 7492. What is the hundreds digit of f?
8
Let s = 48 - 85. Let l = -45 - s. What is the tens digit of ((-128)/(-6))/l*33/(-4)?
2
Let k(c) = 1359*c**2 + 95*c + 8. What is the thousands digit of k(4)?
2
Suppose 47*q = -5*m + 45*q + 24332, -4*q + 4888 = m. What is the hundreds digit of m?
8
Let k(d) = 20*d**2 + 25*d - 16. What is the hundreds digit of k(7)?
1
Suppose c - 49 = -24. Let j = -24 + c. What is the tens digit of (-135)/((-12)/4) - j?
4
Let t = 206 + -232. What is the tens digit of (1/(-2))/(t/3692)?
7
Suppose 62 = b + 5*w, 4*w - 5 + 94 = b. Let r = 199 + -211. What is the tens digit of b - ((-1)/(-3))/(r/72)?
7
Let j = -19105 - -27453. What is the thousands digit of j?
8
Suppose 0 = -p - 5, -5*p - 2 = 2*c + 7. Let s = -5 + c. Suppose 0*u = s*u + 4*x - 443, u + 2*x = 149. What is the tens digit of u?
4
Let m(b) = 10*b**2 - 3*b + 1. Let a be (-697)/(-34) - (-6)/4. Suppose a*x = 21*x + 2. What is the tens digit of m(x)?
3
Suppose u - 5*y = 51, 5*y - 66 - 219 = -5*u. Let w be (94/(-282))/(-1*1/183). Let x = w - u. What is the units digit of x?
5
Let a = 248 + -245. What is the hundreds digit of (a - (-24)/(-10))*685 - -3?
4
Let x = -2 - -3. Let c(j) = 104*j - 1 + 167*j - 316*j + 173*j. What is the hundreds digit of c(x)?
1
Let p(y) = 96*y**3 - 8*y**2 - 115*y + 313. What is the tens digit of p(8)?
3
Suppose -j - 4 = 4*k, k - 2*j = 6*k + 8. Suppose k = -6*t + 1790 - 404. What is the units digit of t?
1
Let v(g) be the third derivative of 11*g**6/120 + g**5/15 + 11*g**4/24 + 4*g**3 - 8*g**2 - 5*g. What is the thousands digit of v(5)?
1
Let i = 77 - 72. Suppose i*j + 2 = 3*a, -5*j = 3*a + 2 + 6. What is the hundreds digit of (-1 + j - -1)*(-118 + 0)?
1
Let a(r) = -119*r**3 - r**2 - 295*r - 2091. What is the ten thousands digit of a(-7)?
4
Suppose -395850 - 544257 = -66*c - 159723. What is the hundreds digit of c?
8
Let d = 4818 - -26637. What is the ten thousands digit of d?
3
Let f be ((-4)/12)/(-1)*6. Let x = f - -6. What is the tens digit of (-60)/(-6)*(x + -1)?
7
Suppose -3*j - 4*u + 14604 = 0, 88*j + 14604 = 91*j - 5*u. What is the hundreds digit of j?
8
Let t = 11 + -16. Let a = -25 + t. Let d = -7 - a. What is the units digit of d?
3
Suppose 29*w - 27*w = 36. Suppose 2*a + 2*n - w = 0, 0*n + 5*n + 27 = 3*a. Suppose l = 37 - a. What is the units digit of l?
8
Suppose 6*u - 26 = -4*n + 8*u, 4*n - 29 = -u. Suppose 288 = n*q + 2*q. What is the units digit of q?
2
Suppose -2*d - 2 = -y, -4*y + 0*y + 5*d - 4 = 0. What is the tens digit of (-15 - -753) + y/1?
3
Let i = -15 + 16. Let g be (-2)/(-10) - i/5. Suppose q = -3*z + 57, 2*q + 0*z - 5*z - 158 = g. What is the tens digit of q?
6
Suppose -t - 2*a = -23 - 1, -a + 110 = 4*t. Suppose 0 = -c + 5*k + t, -2*k - 44 = -3*c + 3*k. What is the units digit of (-8256)/(-80) - c/(-10)?
4
Let a(u) be the first derivative of u**4/4 - 4*u**3 - 3*u**2/2 + 13. Let t be a(13). Let v = -17 + t. What is the units digit of v?
3
Let y = -2314 - -5109. Suppose 0 = 14*g - y + 1031. What is the units digit of g?
6
Let u be 7/((-21)/198)*2/(-3). Suppose -3*t + u = 4*n - 7*t, 2*n - 4*t - 30 = 0. What is the tens digit of (-2 + 0)*-8 + (n - 5)?
1
Let o be (6/5)/((-12)/90). Let q = -97 + o. Let i = q - -148. What is the tens digit of i?
4
Let y be 644/(-252) + 8/(-18). Let k(a) be the second derivative of -a**5/20 + a**4/6 + a**3/3 - a**2 - 3*a. What is the units digit of k(y)?
7
Suppose -3167 = -v + 2704. What is the thousands digit of v?
5
Let b(v) = 5*v**3 - 12*v**2 + 20*v - 21. Let m(l) = 2*l**3 + l - 11. Let w be m(2). What is the tens digit of b(w)?
4
Suppose 2*q = 2*a + 26232, 14 - 26 = 4*a. What is the units digit of q?
3
Suppose 3*k = -65*p + 63*p + 21, -10 = -5*k + 5*p. What is the tens digit of (-6)/k - 199381/(-455)?
3
Suppose 57*h - 244413 = 18*h. What is the hundreds digit of h?
2
What is the ten thousands digit of ((-57874)/(-76))/(18/360)?
1
Let k(i) = i - 3. Let c be k(-10). Let r(h) = -10*h**2 - 11*h - 4. Let j(s) = -20*s**2 - 23*s - 9. Let f(y) = c*r(y) + 6*j(y). What is the tens digit of f(3)?
0
Let c(r) = 219*r**3 - 7*r**2 + 3*r + 14. What is the hundreds digit of c(3)?
8
Let l = 137 - 134. Suppose -l*b - 4*o + 1256 = b, -616 = -2*b + 4*o. What is the tens digit of b?
1
Let d(g) = 5*g**3 + 22*g**2 - 41*g + 26. Let z(p) = p**3. Let x(q) = -d(q) + 4*z(q). What is the tens digit of x(-25)?
2
Suppose 35*y - 20821 - 64615 = -27*y. What is the tens digit of y?
7
What is the thousands digit of (-80)/100 - 328917/(-15)?
1
Let y = 14 - 4. Suppose 57*u - 51*u - 36 = 0. Suppose -u*k + y*k - 384 = 0. What is the tens digit of k?
9
Let t be (6/(-1) + 2)/(3/(-573)). Let d = 1131 - t. What is the hundreds digit of d?
3
Let j = 44 - 1062. Let z = j + 1058. What is the tens digit of z?
4
Let a = 3578 - 3107. What is the units digit of a?
1
Let h(m) = -m**3 + 3*m**2 - 7*m - 12. Let b be h(6). Let u = b + 441. What is the units digit of u?
9
Suppose -5*m - 63*f = -42*f - 170775, 5*m = 4*f + 170650. What is the ten thousands digit of m?
3
Suppose -40*r - 3*l = -36*r - 122481, 0 = -5*l + 15. What is the thousands digit of r?
0
Suppose 0 = -a + 6*a - 10. Suppose 5*i - 25 = -2*n, i + 2*i - 16 = -n. What is the tens digit of 224/i + 2/a?
3
Suppose -8*p = 32*p - 20520. Let n = p - 461. What is the tens digit of n?
5
Suppose 3*a - 6391 = -5*v, 6*v = 2*v - 5*a + 5105. Let n = v + -65. Suppose -3*b + 12*b - n = 0. What is the tens digit of b?
3
Let t = 20 - 30. Let s be (0 + 2)/((-5)/t). Suppose -4*x + 8*l - s*l 