u - 27*u - 5645 = 0. Suppose -3*d + 1147 = 2*j, 9*j = 7*j + 3*d + u. What is the units digit of j?
9
Suppose -57*x - 107163 + 604463 = -32*x. What is the ten thousands digit of x?
1
Let m(d) be the first derivative of -10*d**3/3 + 4*d**2 - 4*d + 1. Let n(x) be the first derivative of m(x). What is the tens digit of n(-2)?
4
Let g(b) be the second derivative of -11*b**5/20 - b**4/12 - b**3/6 + 2*b. Let t = -442 + 441. What is the tens digit of g(t)?
1
Let s(x) = x**2 - 169*x + 208. What is the tens digit of s(-51)?
2
What is the tens digit of 40/(-280) + (2 - -1) + (-4316048)/(-112)?
3
Let w(b) = -466*b + 4621. What is the ten thousands digit of w(-116)?
5
Let r = 31 + -34. Let l be ((-22)/r)/((-20)/(-120)). Suppose 0 = 4*h - 6*h + l. What is the tens digit of h?
2
Let t(s) = s**3 - 11*s**2 + 8*s - 38. Let o be t(10). What is the tens digit of (o - -5)/(-1)*7?
7
Let g = 58 - 56. Let h be (5 + (-238)/(-4))*g. Let n = -89 + h. What is the units digit of n?
0
Let m(o) = 2*o**2 - 5*o - 4. Let v be m(4). What is the hundreds digit of 2/v + (-15660)/(-80)?
1
Suppose 11 = 6*q - 1. Suppose -q*j - j + 24 = 0. What is the units digit of 0 - ((-30)/(-40) + (-238)/j)?
9
Suppose 0 = -0*k + 5*k + 1000. Suppose -305 + 55 = 2*h + 4*d, -9*h = -d + 1182. Let j = h - k. What is the units digit of j?
9
Let k(y) = -92*y - 7. Let n(g) = -46*g - 9. Let l(f) = 46*f + 8. Let p(v) = -6*l(v) - 5*n(v). Let z(m) = -6*k(m) + 13*p(m). What is the units digit of z(-1)?
9
Suppose -718*u = -522*u - 7756700. What is the ten thousands digit of u?
3
Suppose -3*d = -6*d - 822. Let r be 1 - (-3 + 4/4 + d). Suppose s = 5*l + 102, 5*s - 133 = 5*l + r. What is the units digit of s?
7
Let h = -37099 + 64097. What is the tens digit of h?
9
Let h = 988 + -483. Let o = h + -928. Let i = o - -596. What is the tens digit of i?
7
Let g be ((-3)/18*-3)/((-1)/8). Let d be (-20)/(-6)*(-6)/g. Suppose d*k - 13*k = -808. What is the units digit of k?
1
Let a(s) = 78*s**3 + 8*s**2 - 23*s + 33. Let v(c) = -39*c**3 - 4*c**2 + 13*c - 17. Let u(x) = -6*a(x) - 11*v(x). What is the tens digit of u(-3)?
2
Let h(v) = -v**3 + 13*v**2 + 31*v - 22. Let z be h(12). What is the units digit of 258932/z + 4/(-26)?
4
Let a = -3123 + 9096. What is the thousands digit of a?
5
Suppose 272*v + 26190 = -275*v + 553*v. What is the hundreds digit of v?
3
Let u(x) = -3*x**2 + x + 3. Let z be u(2). Let y be z + 3 + 6 + -10. Let n(q) = q**3 + 7*q**2 - 11*q - 14. What is the tens digit of n(y)?
1
Suppose -7232*k - 29 + 1 = -7218*k. Let l(r) = -31*r - 2. Let d(y) = y. Let w(x) = -5*d(x) + l(x). What is the units digit of w(k)?
0
Suppose 0 = -5*r - 3*j + 56490, r - 5*j - 8215 = 3083. What is the hundreds digit of r?
2
Let f(r) = 3*r + 19. Suppose -9*j + 72 = -13*j. Let d be f(j). Let p = d + 49. What is the units digit of p?
4
What is the tens digit of (-2 - (-4)/(4 + -8))/((-3)/2339)?
3
Suppose -i - 6 = -12. Suppose i*w = 19 + 17. Suppose -w*x + 14*x - 296 = 0. What is the units digit of x?
7
Let f(k) = 18*k - 216. Let x be f(12). Suppose 4793 = 4*r - b, -4*b + 6 + 6 = x. What is the hundreds digit of r?
1
Suppose -3*n - 173632 = -4*q, 12*q - 4*n = 16*q - 173632. What is the thousands digit of q?
3
Let n(q) = 18*q - 169. Let g be (-1 - -1) + 15 + 2 + -4. What is the units digit of n(g)?
5
Let i(k) = 4*k + k**3 - 6*k + 111 + 16*k**2 - 145. Let h be i(-16). Let f = 25 + h. What is the tens digit of f?
2
Suppose -42*c + 3498588 = 1177626. What is the ten thousands digit of c?
5
Let u(o) = -4*o. Let l be u(-1). Suppose 5*j + 1133 = -l*v, -4*v - j + 4*j = 1157. Let w = -143 - v. What is the tens digit of w?
4
Let p(l) = 6*l**3 - 43*l**2 + 3*l + 40. Let g(h) = -4*h**3 + 29*h**2 - 2*h - 27. Let o(n) = 7*g(n) + 5*p(n). What is the tens digit of o(9)?
0
What is the tens digit of -105810*((-42)/168)/(1/2)?
0
Let d(p) = p**2 + 11*p - 2. Let v be d(-13). Suppose w = -5*w + v. Suppose -o + 3*i + 15 = -1, w*o = i + 75. What is the tens digit of o?
1
Suppose 17 = 5*v + 7. Suppose 2*x + v*w - 7 + 3 = 0, 0 = -2*x + 3*w + 4. Suppose -x*i = 3*i - 220. What is the tens digit of i?
4
Suppose -2*z + h = 3, 0 = 3*z - 4*z - 2*h - 9. Let d be 16/((-6)/z + -4). Let a(m) = 5*m**2 + 8*m - 32. What is the hundreds digit of a(d)?
2
Let h(s) be the first derivative of -s**3/3 - 2*s**2 - 2*s - 26. Let x be h(-10). Let j = -48 - x. What is the units digit of j?
4
Let w = -53519 - -99363. Suppose -22*a - 11876 = -w. What is the thousands digit of a?
1
Suppose -223 = p - 389. Suppose -p = -9*d + 4730. What is the units digit of d?
4
Suppose -4*r = 5*o - 63687, 4*r + o + 32881 = 96588. What is the tens digit of r?
2
Let t = -179 + 318. Let c = 135 - t. What is the units digit of 4 + c/24*-39*24?
0
Suppose 3*l + 4*u - 91093 = 0, -u = u - 2. Suppose -34*p + l + 6799 = 0. What is the hundreds digit of p?
0
Let u(d) = d**2 - 16*d + 23. Let t be u(17). Let g = 251 + t. Suppose 22*o = 19*o + g. What is the tens digit of o?
9
Let j(w) be the second derivative of 3*w**4 + w**3/6 - 5*w**2/2 - 48*w. What is the hundreds digit of j(2)?
1
Suppose 231*x - 24 = 243*x. Let y = 12 + -3. What is the tens digit of x + 2 - (y - 59)?
5
Suppose 0 = 8*r - 3*r - 25. Suppose 5*l - 770 = r*y, 0*l - l + 4*y = -145. Suppose l = 2*s - 3*i, 3*i + 86 = -0*s + s. What is the tens digit of s?
7
Suppose 5*z - 3*v = -190, -76 = 5*z - v + 104. What is the tens digit of (-28115)/z - (-14)/(-49)?
0
Let h = 76723 - 38705. What is the thousands digit of h?
8
Suppose 4*q + 6 = -b - 2, 0 = 4*b - 2*q + 122. Let u(g) = -22*g + 1. What is the units digit of u(b)?
7
Suppose 3*p + 16 - 1 = 0. Let n(z) = z**3 + 6*z**2 + 4*z - 7. Let h be n(p). What is the units digit of h - (-6 - -2) - (-174)/2?
9
Let s(j) = 401*j**3 - 2*j**2 - 4*j + 3. What is the units digit of s(2)?
5
Suppose 0 = 5*b + 2*o - 246, o + o = -3*b + 146. Suppose -10 = 2*j + b. Let x = 32 + j. What is the units digit of x?
2
Let y(m) = 0 - 1 - 1 + m**2 + 22 - 20*m + 3. Suppose 3*n - 59 = 4*u + 23, 2*u = -3*n + 58. What is the tens digit of y(n)?
6
Let b(q) = 140*q**2 - 55*q + 261. What is the hundreds digit of b(9)?
1
Suppose 11*b = -52*b + 988473 + 212748. What is the units digit of b?
7
Suppose 5*j - 2*j - 832 = -4*q, 2*j - 418 = -2*q. Let b = -133 + q. Suppose v = -0*v - s + b, -2*v = -s - 141. What is the tens digit of v?
7
Let f = 250972 - 175139. What is the tens digit of f?
3
Let n(s) = -395*s - 1390. What is the hundreds digit of n(-14)?
1
Let f(d) be the first derivative of 2*d**3 + 7*d**2 + 41*d + 38. What is the hundreds digit of f(-10)?
5
What is the units digit of 9/30 + 377301/30?
7
Suppose -13 - 2 = -r + 5*b, -5*b = 2*r. Suppose -5*z + 4*o = -4565, -959 + 4602 = 4*z - r*o. What is the tens digit of z?
1
Suppose -3*g - 8 = j + 4, -4*g + 32 = -4*j. Let t(i) = 4*i**2 - 17*i - 40. What is the tens digit of t(j)?
3
Suppose -14*p - 5994 = -78*p - 10*p. What is the tens digit of p?
8
Let w(q) be the third derivative of -13*q**4/24 + 52*q**3 - 16*q**2 - 6. What is the tens digit of w(0)?
1
Let x be (-1*775)/(8/(-56)). Suppose 3*j = 3*m + 3255, -5*j + x = 12*m - 16*m. What is the units digit of j?
5
Let t(k) = k**3 + 11*k**2 + 8*k - 16. Let o be t(-10). Suppose -i - x = -41, -29 - 138 = -o*i - 5*x. What is the tens digit of i?
3
Suppose -6*g + 37366 = -193784. What is the hundreds digit of g?
5
Let b(k) = 8*k + 5. Let f(p) = -p - 1. Let j(r) = b(r) + 6*f(r). Let t be j(5). Suppose t*g - 30*g + 4473 = 0. What is the hundreds digit of g?
2
Let n(i) = -i**3 - 18*i**2 - 55*i + 33. What is the thousands digit of n(-38)?
1
Let t = 60 - 56. Suppose 3*g + 5*c = 272, -t*g - 5*c + 72 = -294. What is the tens digit of g?
9
Suppose -23*s - 4036 + 13351 = 0. Let c = -96 + s. What is the tens digit of c?
0
Let r be ((-1)/2)/(95/50 + -2). Suppose 8 = r*i - 17. Suppose 0 = -4*b + 3*l + 877, 7*b - i*l - 1090 = 2*b. What is the units digit of b?
3
Suppose -11*q + q = -50. Let d be -4 - (5 - q) - -962. Suppose l - 2*k = 237, -d = -8*l + 4*l + 3*k. What is the units digit of l?
1
Let h(y) = -8*y**3 + 9*y**2 + 78*y - 57. What is the tens digit of h(-11)?
2
Suppose -5*v + 30 + 0 = 0. Let g(d) be the third derivative of 4*d**4/3 - 8*d**3/3 - 27*d**2. What is the hundreds digit of g(v)?
1
Let m(g) = 4*g**3 - 13*g**2 + 2*g + 7. Let f be m(3). Suppose 5*t - f