
Let v(n) be the third derivative of -n**5/60 + 23*n**4/24 - n**3/3 - 86*n**2 + 1. Suppose 4 + 46 = 5*g. What is the units digit of v(g)?
8
Let i(j) = -2*j**3 + 19*j**2 - 7*j - 11. Let o be i(8). Suppose -123*b - 792 = -o*b. What is the tens digit of b?
9
Suppose -37*z + 34*z = 5*m - 369031, m - z = 73795. What is the tens digit of m?
0
Suppose -274*r = -22*r - 13637484. What is the tens digit of r?
1
Let t be ((-32)/80)/(1 - 32/30). Suppose -4*m - g = g + t, -4*m - g = 7. What is the tens digit of m/(-3) + 271/3?
9
Let w = -269 + 274. Suppose v + 1446 = 3*q, -v + w*v - 1446 = -3*q. What is the units digit of q?
2
Suppose -16 = 3*h - 5*d, 4*h - 2*d + 3*d - 17 = 0. Let u(y) = -6*y**2 - y**h - 3*y**2 - 3 + 2*y + 13*y**2. What is the tens digit of u(3)?
1
Let t(x) be the second derivative of x**4/24 + x**3 + 7*x**2/2 + 10*x. Let h(d) be the first derivative of t(d). What is the units digit of h(0)?
6
Suppose 0 = 27*s + 44*s + 11791 - 94790. What is the thousands digit of s?
1
Suppose 5*a - 1828 - 122 = 0. Suppose -3*x + a = d, -3*x - x = -2*d + 770. What is the tens digit of d?
8
Suppose -18 = -117*r + 111*r. Suppose a = 5*l + 573, 0 = -2*l + r*l - 2. What is the hundreds digit of a?
5
Let s be 4/22 + 14512/44. Suppose -4*h = -2*n + 262, 347 = 5*n + h - s. What is the hundreds digit of n?
1
Let b(s) be the first derivative of -5 - 5*s + 10*s**2 - 1/3*s**3. What is the units digit of b(13)?
6
Let p be 3/(-5) - (4 + (-63)/5). Let c(f) = p + 1 - 1 + 4*f + 5*f**2. What is the units digit of c(-3)?
1
Suppose 0 = 3*x - 109 - 95. What is the tens digit of 14533/15 + x/510?
6
What is the units digit of 297353/5 + (-24)/10*(-26)/(-39)?
9
Suppose 0 = 2*r - 4*r - 40. Suppose 2481 = -40*k - 4119. Let h = r - k. What is the tens digit of h?
4
Let i = 101 - 97. Suppose 0 = -b - i*b + 2390. What is the units digit of (-1)/(-8) + b/16?
0
Let l = -2377 - -7666. What is the units digit of l?
9
Let m(o) = -3*o**2 - 5*o + 8. Suppose 4*u - 10*u = 12. Let a(d) = -d**2 + d - 1. Let l(r) = u*a(r) + m(r). What is the units digit of l(-6)?
6
Let g(q) = 7*q**3 + 3*q**2 + 6*q - 1. Let p(j) = -2*j**3 - j**2 - 1. Let o(i) = g(i) + p(i). What is the tens digit of o(4)?
7
Let t(l) = l**3 + 58*l**2 - 14*l - 1653. What is the hundreds digit of t(-42)?
1
Suppose q + 4*f = 61991, 3*q - 13896 - 172084 = -5*f. What is the thousands digit of q?
1
Let d be (68/6)/((-8)/(-12)). Suppose -5*s - 2*w + 19 = -0*w, -5*s + d = w. Suppose 0 = 6*x - s*x - 18. What is the units digit of x?
6
Let q be 400/(-60)*(-108)/20. Suppose 10*j + 4186 = q*j. What is the tens digit of j?
6
Let y be 15*2/12*(-2)/(-1). Suppose 2*r + y = 9. Suppose 9*c - 1939 = r*c. What is the units digit of c?
7
Suppose -655292 = -320*g + 282*g - 213808. What is the tens digit of g?
1
Suppose -5*o - 8*g + 9*g = -184660, 7*o = g + 258522. What is the ten thousands digit of o?
3
Let w(l) = -39*l - 17. Let r be w(2). Let m = 92 + r. What is the hundreds digit of (140/m)/(4/(-12))?
1
Suppose 3*h - 66 + 33 = 0. Suppose 0 = -h*v + 1649 + 1552. What is the units digit of v?
1
Let s(p) = 6*p**2 - 53*p + 15. Let j be s(-17). Suppose 0 = -5*n - 5*g + j, 8*g - 2118 = -4*n + 3*g. What is the hundreds digit of n?
5
Let s(j) = -j**3 + 85*j**2 - 126*j + 77. What is the hundreds digit of s(38)?
1
Suppose -108 = -4*l + j - 488, 4*l = 5*j - 364. What is the units digit of (-8)/(l/(-6))*-280?
0
Let r(u) = 186*u**2 + 182*u + 4. What is the ten thousands digit of r(13)?
3
Let z = 9184 + -7974. What is the thousands digit of z?
1
What is the hundreds digit of (-64504)/40*(3 - (7 - -1))?
0
Let a(g) = -3*g + 27. Let r(q) = q. Let c(f) = -a(f) - 18*r(f). Let d be c(-12). Suppose n = -4*l + d, -772 - 59 = -5*n + 2*l. What is the tens digit of n?
6
Let k(s) = 35*s**3 - 8*s**2 + 14*s - 124. What is the units digit of k(7)?
7
Let b(p) = -686*p**3 + 2*p**2 - 214*p - 1092. What is the hundreds digit of b(-5)?
7
Let c = -121 - -320. Suppose 198*d = c*d - 283. What is the units digit of d?
3
Let m(l) = 2*l**3 - 6*l**2 - 3*l - 27. Let u be m(-5). Let z = 1887 + u. What is the thousands digit of z?
1
Let g = -124 - -127. Let p be ((-1488)/32)/(((-3)/2)/g). Suppose 5*v = -p + 468. What is the units digit of v?
5
Let x(m) = m**2 + 10*m + 2. Let b be x(-4). Let n = 20 + b. What is the units digit of ((-14)/(-7))/(n/(-7))?
7
Let w = 24 - 19. Suppose 0 = w*p - 4*m - 6, -4*m = 2*p + 3*p - 14. Suppose -t + 85 = p*o, o + t = -3*o + 167. What is the tens digit of o?
4
Let r = -88 + 118. Let v be r/(15/(-3))*2/(-6). What is the tens digit of 4 + (v - (-3 + -20))?
2
Suppose 6 = -7*b - 8. Suppose -3*w + 0*u - u + 132 = 0, 2*u = -5*w + 219. What is the tens digit of b/(-4) + w/2?
2
Suppose 6*k + 766 = 4216. Let y = k - 389. What is the units digit of y?
6
Let v(a) = -a**3 + 24*a**2 + 10*a - 178. What is the tens digit of v(24)?
6
Let d be 346/6 - 3*8/(-72). Let g = d + 372. What is the tens digit of g?
3
Suppose 36 = 25*r - 31*r. What is the tens digit of -1126*1/r + 46/(-69)?
8
Let k be (-13636)/42 - (-2)/3. Suppose -3*a + 5*u + 707 = -723, -1915 = -4*a + 5*u. Let f = k + a. What is the tens digit of f?
6
Let x = 24 - -19. Let s = -43 + x. Suppose s = 4*m + 22 - 206. What is the units digit of m?
6
Let g = -87 - -93. Let c be g/(-10) + (-1352)/(-20). Suppose -d = -82 + c. What is the units digit of d?
5
Let b(n) = 18*n - 2. Let j(s) = 2*s + 10*s - s - 2*s - 1. Let x(o) = -3*b(o) + 5*j(o). What is the units digit of x(-7)?
4
Let l = -29 - -41. Suppose t + 3*a + 6 = 0, -2*t + a + a = -l. What is the units digit of 12/(9/t) + 7?
1
Suppose 16 = y + 5. What is the units digit of (7 - y) + 0 + 859?
5
Let z be ((-8)/5)/((-1)/5). Suppose -2*w + w - 38 = -4*d, -3*d + 5*w = -37. Suppose -d*o + z*o + 128 = 0. What is the hundreds digit of o?
1
Suppose 2*d - 13 + 3 = 0. Suppose 2*o + 8*z - 372 = 3*z, -o + 171 = -d*z. What is the hundreds digit of o?
1
Suppose 151*x = 387*x - 4352548. What is the thousands digit of x?
8
Let c(u) be the first derivative of -8*u + 13/2*u**2 - 30 + 4/3*u**3. What is the hundreds digit of c(6)?
2
Let u(q) = -q**2 - 14*q - 13. Let h be u(-13). Suppose a + h*a = 0. Suppose 4*o = -o - j + 140, o - 4*j - 49 = a. What is the tens digit of o?
2
Let m be (-4)/(-5) - 252/(-35). Suppose m*y - 170 = 13*y. Let w = y + 40. What is the units digit of w?
6
Suppose 15*k + 13*k = 84. Let o be (-74)/(-6) + (-3)/9. Suppose a + 314 = k*b + o, -3*a + 3 = 0. What is the units digit of b?
1
Let p(a) be the first derivative of -a**3/3 + 5*a**2/2 + 62*a + 45. What is the tens digit of p(9)?
2
What is the units digit of -9 - (-50039 + (-5 - (-13 - -20)))?
2
Suppose 4*f - 36690 = -p, -158*f + 163*f + 5*p = 45870. What is the hundreds digit of f?
1
Suppose 20*z = 25*z + 2480. Let w be 10/(-4)*(z/10 - 2). Suppose -6*f - w = -441. What is the units digit of f?
2
Suppose i = 830 - 2446. Let s = -643 - i. What is the hundreds digit of s?
9
Let q(w) = 3*w**2 + 5*w - 1. Let f be q(-3). Let b(u) = 10*u + 15. Let n(k) = 5*k + 7. Let x(j) = f*n(j) - 6*b(j). What is the units digit of x(-7)?
2
Suppose 0 = 5*b + a - 46967, -2*b - 6*a = -15649 - 3149. What is the units digit of b?
3
Let b(x) = -3*x**3 - 168*x**2 + 13*x + 132. What is the tens digit of b(-58)?
6
Let n = -24189 + 40423. What is the tens digit of n?
3
Let m be 3 - ((-20)/5 - -3). Suppose -m*q = 6*q + 1500. Let a = 275 + q. What is the hundreds digit of a?
1
Suppose -3*p = 5*m + 41, 4*p - 2*p + 39 = -5*m. Let u be (322/m)/((-2)/23). Suppose 5*y + 2*i - 256 = u, 0 = 2*i + 10. What is the hundreds digit of y?
1
Let r(g) = -g**3 + g**2 - g - 2. Let b(w) = 5*w**3 - 5*w**2 + 14*w + 16. Let j(p) = -b(p) - 6*r(p). What is the tens digit of j(5)?
5
Let o = 9119 + -8190. What is the tens digit of o?
2
Suppose 16*b + 168528 = 3*o + 13*b, o + 2*b = 56188. What is the thousands digit of o?
6
Let u = -78 - -78. Suppose -4*j - 5*j + 1764 = u. What is the tens digit of j?
9
Let l be (-1)/9*-3*429. Suppose x - 2*x = -5*z + 53, 3*x - 3*z + 99 = 0. Let i = x + l. What is the tens digit of i?
1
Let z = -46305 - -67049. What is the hundreds digit of z?
7
Let z(s) = -335*s**3 - s**2 - 2*s. Let y be z(-2). What is the units digit of (1/2)/(10/y)?
4
Suppose 2*p = -2*r + 38516, -21*r + p + 461902 = 57506. What is the tens digit of r?
5
Let v(y) = 77