t x(q) be the first derivative of -q**2/2 - 2*q - 2. Let u be x(-8). Let m = u + 10. What is the units digit of m?
6
Suppose -r - 27 = 3*m, 6*r - r + 87 = -3*m. What is the tens digit of 1060/r*(-12)/8?
0
Let t be 2/(-2 + 24/9). Suppose 3*o + 2*a - 4 = 0, -8 = o - t*a - a. Suppose 22 = -o*h + h. What is the tens digit of h?
2
Let x be -2 - 16/(-6)*6. What is the units digit of 6/4 - (-1057)/x?
7
What is the tens digit of (-2313)/(-5) + (210/(-50))/7?
6
Let r(u) = 586*u**2 - 6*u + 15. What is the hundreds digit of r(-3)?
3
Let p(u) = -u**2 + 14*u - 8. Let h be p(13). Let j(y) = -h*y**2 + 0*y + y**3 + 2*y - 2 - 5*y + 11*y**2. What is the tens digit of j(-6)?
1
Let j(t) be the third derivative of -t**6/120 + 3*t**5/20 + 5*t**4/8 - t**3/6 - 10*t**2. What is the tens digit of j(10)?
4
Let k = -10 - -7. Let h = k + 11. What is the tens digit of (h/6)/((-22)/(-627))?
3
Let b = -10 - -10. Suppose b = -t + 1, 2*y + t - 4*t - 89 = 0. What is the tens digit of y?
4
Let n(a) = -690*a**3 + 5*a**2 - 5*a. Let y be n(1). Let r = -383 - y. What is the hundreds digit of r?
3
Let m be (32/(-6))/((-2)/21). Suppose 4*r - m = -4*f, 3*r + r - 3*f = 28. What is the tens digit of (-16)/(-2)*r/8?
1
Let j = 38 + -72. Let z = j + 10. Let d = 53 + z. What is the units digit of d?
9
Let j(w) = w**2 - 4. Let a be j(3). Suppose a*z - 20 = z. What is the units digit of z - 0 - (2 + -2)?
5
Suppose -2*x + 941 = 3*f, 0*f + 3*x = -2*f + 624. What is the tens digit of f?
1
Let h(n) be the second derivative of -10*n**3/3 + 3*n**2 + 8*n. Let f be h(-5). Suppose 0 = 4*r + 3*i - 41 - f, 5*r - 175 = 5*i. What is the units digit of r?
6
Let v(q) = 39*q + 24. Let c be v(3). Suppose c = 4*h - 171. What is the units digit of h?
8
Suppose -4*d + 98 = -62. Suppose 0 = 4*b + 4, -173 = 3*r - 6*r + 5*b. Let m = r - d. What is the units digit of m?
6
Let g(j) = 45*j - 35. What is the hundreds digit of g(17)?
7
Let x = -22 - -28. What is the tens digit of (4/3)/(x/153)?
3
Let n be (-1)/((-1)/(-4)*-1). Let w be (-27)/9*n/(-6). Suppose -27 = -w*j - 4*g - g, 4*j - 2*g = 90. What is the units digit of j?
1
Let f = 12 + -16. Let g(h) = -h - 2. Let a be g(f). Suppose 5*z + 103 = 3*j + z, a*j - 4*z - 62 = 0. What is the tens digit of j?
4
Let j = 80 - 139. Let z = 101 + j. Suppose 4*d = -i + z, 3*d + 22 = 5*d + i. What is the tens digit of d?
1
Let u = -374 - -890. What is the hundreds digit of u?
5
Let p(r) = -r**3 - 7*r**2 - r + 7. Let g be p(-7). Suppose z - 82 + g = 0. What is the units digit of z?
8
Let u = -14 + 14. Let t = 1 + u. What is the units digit of t?
1
Let z(o) = 4*o**2 - 35*o - 11. Let x be z(9). What is the units digit of ((-130)/(-78))/(x/(-36) + 0)?
0
Let g(m) = -815*m + 181. What is the units digit of g(-8)?
1
Let q(t) be the second derivative of 3*t + 0 + 13/6*t**3 + 19/2*t**2 + 1/12*t**4. What is the units digit of q(-13)?
9
What is the thousands digit of ((-192)/120)/(1/(1405/(-2)))?
1
Suppose -2*j - 35 = 7. Let i = j - -26. Suppose i*m - 15 = 2*m. What is the units digit of m?
5
Let a = -43 + 43. Let u(c) = 11*c + 35. Let h(y) = 4*y + 12. Let x(g) = -8*h(g) + 3*u(g). What is the units digit of x(a)?
9
Suppose 9*x - 2*c + 1208 = 12*x, 5*c = -x + 420. What is the tens digit of x?
0
Suppose -4*z - 30 + 2090 = 0. What is the tens digit of z?
1
Suppose 0 = 2*r - 3*r - 9. Let t = -7 - r. Suppose -7 = 3*c + 2*g, -6 - 9 = -5*c + t*g. What is the units digit of c?
1
Suppose 4*p - 1528 = u + 3*u, -2*p + 760 = -4*u. Suppose 0 = 2*l - 2*v - 144, 8*l - 3*v = 13*l - p. What is the tens digit of l?
7
Suppose 9*s - 14*s = -4695. What is the units digit of s?
9
What is the units digit of 292 - ((-7)/(-7) + 2)?
9
Let q be (243/27)/((9/4)/(-3)). What is the tens digit of (64/(-6))/1*117/q?
0
Suppose 16 = -4*j + 8. Let m(t) = -11*t**3 - 3*t**2 - t - 2. What is the tens digit of m(j)?
7
Let h(b) = b - 2. Let w be h(4). Suppose p + 4 = 0, -w*p - 19 = -2*q + 9. What is the tens digit of q?
1
Let t = 1348 + -740. What is the tens digit of t?
0
Suppose -3*t = 2*j - 1711, -12*t - 4272 = -5*j - 14*t. What is the tens digit of j?
5
Let f(w) = 183*w**2 - 8*w - 6. What is the units digit of f(-1)?
5
Let j be (0/(-11))/(-1 - 1). Suppose j = -5*k + 6*k - 39. What is the units digit of k?
9
Let d be (-1)/(7/((-21)/(-6)))*-4. Suppose -d = 3*z - 17. What is the units digit of z?
5
Suppose 0 = -59*t + 62*t + 126. Let q = -5 - t. What is the tens digit of q?
3
Let a(m) = m**3 - m**2 - 8*m + 12. Let w(c) = 2*c + 15. Let f be w(-5). What is the tens digit of a(f)?
7
Let w = -84 - -80. What is the units digit of w/(-20) + 1636/20?
2
Suppose 2*r - 3*o = r + 74, -78 = -r + 2*o. What is the tens digit of r?
8
Suppose 0 = -3*m - m. Suppose -f - 5*s + 83 = 2*f, m = -5*s - 10. Let n = 4 + f. What is the units digit of n?
5
Suppose 3*i - 14*i = -10384. Suppose 0*h + 4*h - i = 0. What is the units digit of h?
6
Suppose 4*u = 5*u - 34. What is the units digit of (u/(-3))/((-14)/84)?
8
Let o(f) = 177*f - 89. What is the thousands digit of o(8)?
1
Suppose -4*b = -8*b - 3*x + 2347, -5*x = -5*b + 2925. What is the tens digit of b?
8
Suppose 0 = -3*n + 1529 + 1222. What is the units digit of n?
7
Suppose 13 = 5*p - 12. Suppose -3*v - 106 + 19 = 3*o, -p*v = 3*o + 137. What is the units digit of v/(-2) - 6/12?
2
Suppose 3*h + 3*v = -0*h - 48, 0 = -4*h + v - 79. Let j be (-3)/5*(h - -4). Let u = j - -2. What is the tens digit of u?
1
Suppose s - 2*x = 6*s - 10543, s - 2*x - 2099 = 0. What is the units digit of s?
7
Suppose 0 = 4*w - 5*w + 28. Let b = 112 - w. What is the units digit of b?
4
Let l(n) = 14*n - 19. Let k be l(6). Suppose -4*a - k = -5*w, 21 + 11 = w + 3*a. Suppose -w = y - 2*y. What is the tens digit of y?
1
Let g = -48 + 447. What is the units digit of g?
9
Let b(p) = 2*p - 3. Let k be b(9). Let m(l) = 19*l + 4. Let y be m(k). Suppose -2*t + 115 = 5*s, -5*t - 9 = 5*s - y. What is the tens digit of t?
5
What is the tens digit of (494/(-39)*1)/((-1)/45)?
7
Let t(v) = v + 11. Let m be t(-8). What is the units digit of 200/m + 2/6?
7
What is the units digit of (4 - -260)/1 + -6?
8
Let i = 5 - -1. Suppose 0 = 8*g - 10*g + i. Suppose -2*b + 0*b = g*s - 100, s - 55 = -5*b. What is the tens digit of s?
3
Let n = 1 + 0. Let d be 58 + -54 - (0 + 1 - 19). Suppose -3*k + 25 = -2*z, -z - n = -3*k + d. What is the units digit of k?
7
Suppose 17*h - 18*h - 4 = 0. Let w = h + 102. What is the tens digit of w?
9
Let d(r) = 0 + 12 + r + 36. Let w = 245 - 245. What is the units digit of d(w)?
8
Let i(s) = 4*s**2 + 5*s**2 + 8*s - 1 - 11*s + s**3 + 10*s. Suppose -4*f + 16 = -6*f. What is the units digit of i(f)?
7
Let b = -357 - -809. What is the tens digit of b?
5
Let d = 5666 + -3664. What is the thousands digit of d?
2
Let h = 10 - 8. Suppose -d - 4*s = 1, h*d - 4 = s + 3. Suppose -8 = w - d*w. What is the units digit of w?
4
Let o be 7/7*(-4)/(4/(-5)). Suppose o*y + 1744 = 13*y. What is the hundreds digit of y?
2
Let f be 109/2 - (-6)/4. Let z(j) = -j**3 - 10*j**2 - 11*j - 13. Let b be z(-9). Suppose -r = -b*r + f. What is the units digit of r?
4
Let k(d) = -d**2 + 24*d + 48. Suppose q + 1 = 5, -5*q = -5*v + 100. What is the tens digit of k(v)?
4
Suppose y = 2 - 4. Suppose 2*u + 23 = 7. What is the units digit of y/u - (-174)/8?
2
Suppose -3*s = -4*s. Suppose 2*i - 91 = -s*i - 3*g, 2*i + 4*g = 92. What is the tens digit of i?
4
Let b = -1566 + 2629. What is the thousands digit of b?
1
Suppose t + 4*y = 977 + 458, -3*y = 2*t - 2845. What is the units digit of t?
5
Suppose 0 = -16*d + 15*d + 2. Suppose q - 102 = -2*q + 5*o, 2*q - 68 = d*o. What is the tens digit of q?
3
Suppose 0 = 4*i - 5*i + 178. What is the tens digit of i?
7
Let z(j) = 7*j - 39. What is the units digit of z(6)?
3
Let s(x) = -3*x**3 + x**2 + 45*x - 6. What is the tens digit of s(-6)?
0
Suppose 4*y = -y - 2800. Let p be (-8)/10*y/16. Let v = 58 - p. What is the tens digit of v?
3
Suppose 34 = 9*i - 92. Suppose -5*j + c = -42, 2*j - 2*c = 2*c + 6. Let a = j + i. What is the tens digit of a?
2
Suppose 5*y = 623 + 1772. Suppose 1028 = 11*c - y. What is the units digit of c?
7
Suppose 0 = 4*v + 5*i - 8437, 0 = -2*v + 6*v + 4*i - 8432. What is the thousands digit of v?
2
Let r(v) = -v**3 - 5*v**2 + 7*v + 6. Suppose -5*p + 10*p + 30 = 0. Let u be r(p). Suppose -2*j + 20 