2. Let j be g(-3). What is the hundreds digit of j/(-6) + (-6471)/(-54)?
1
Let p(k) = k**3 + 6*k**2 + 6*k + 12. Let h be p(-6). Let j = 35 - h. What is the units digit of j?
9
Let y = -1846 + 1995. What is the units digit of y?
9
Let m be (1 - -1)*(-3)/(-2). Suppose 1 = 2*f - 29. Suppose m*p - f - 6 = 0. What is the units digit of p?
7
Suppose -j - 2147 = -k, 5*k + 5*j - 8*j - 10725 = 0. What is the hundreds digit of k?
1
Let p = -29 + 28. What is the units digit of p/4 + (2 - (-462)/24)?
1
Let p(y) = 3*y + 2 - 6*y - 6 + 18*y. What is the units digit of p(2)?
6
Let f(t) = t**2 - 5*t + 4. Let c be f(4). Let u be 2/1 + c + 0. What is the tens digit of (-866)/(-14) + u/14?
6
Suppose 4*s - 3*s = h + 12, 3*s - 4 = -5*h. Suppose 4*c = -0*c + s. What is the units digit of ((-2)/(-2))/(c/16)?
8
Let l = 4587 + -1147. What is the thousands digit of l?
3
Let n(s) = 3*s - 10. Let d be n(4). Suppose 4*o = 6 + 54. What is the units digit of 2*(-1)/d + o?
4
Let h be 1050/8 - 6/(-8). Suppose -4*d + d - h = -3*t, -t - 4*d = -34. What is the units digit of t/(-4)*(-8)/3?
8
Suppose 0 = -2*h + 3*n + 1864, -34*n = -35*n. What is the hundreds digit of h?
9
Let i be (-4)/(2 + 2) + -16. Let a = -13 - i. Suppose -a*m - 5*x + 56 = 0, 4*m - 2*m = 3*x + 6. What is the units digit of m?
9
Let q = 19 + -13. Let g be (-12)/(-6)*q/4. Suppose -8 = -5*k + g*y - 3, -5*k = 3*y - 5. What is the units digit of k?
1
Let y(r) be the third derivative of -r**6/40 + r**5/60 - r**4/8 - r**3/2 + r**2. Let f be y(-2). Let s = 52 - f. What is the units digit of s?
1
Let c(t) = -15*t - 251. What is the units digit of c(-18)?
9
Suppose 2*b = 49 + 7. Suppose 0*d = -7*d + b. Suppose -d*i + 30 = i. What is the units digit of i?
6
Suppose 3*x - 2*x - 1445 = 2*p, -2*x + 2862 = 3*p. What is the thousands digit of x?
1
Suppose 0 = -3*r + 33 + 6. Let d(h) = 2*h - 2. Let z be d(r). Suppose 21*w + 108 = z*w. What is the tens digit of w?
3
Let g = 53 - 36. Let h(k) = -k**2 - 10*k - 16. Let w be h(-7). Suppose g + 43 = w*u. What is the tens digit of u?
1
Let v(n) = -10*n - 13. Suppose -a - 3*c - 13 = -0*c, -a = 4*c + 16. What is the tens digit of v(a)?
2
Let b(r) = -2*r - 19. Suppose 5*z + 25 = -0, 0 = 5*g - 2*z + 30. Let x be b(g). Let u = x + 12. What is the units digit of u?
9
Let a(i) = -7*i**2 - 17*i + 15. Let b(k) = 3*k**2 + 8*k - 8. Let s(w) = -2*a(w) - 5*b(w). Let y be (28/6)/((-6)/9). What is the units digit of s(y)?
3
Let q(t) = 17*t**2 - 71*t + 27. What is the hundreds digit of q(-11)?
8
Let i(z) = z**2 + 6*z + 5. Let y be i(-3). What is the tens digit of (-6 + -88)/(y/2)?
4
Suppose 0 = 5*q - 20, -2*h - q - 7 + 15 = 0. Suppose 0 = -p - h*p. Suppose p = -3*d + x + 14, d - 3*x = 2*d - 18. What is the units digit of d?
6
Let b(r) = r**2 - 2*r + 3. Let t be b(2). Suppose q + t*k = 5*q - 262, 5*k = 4*q - 266. What is the units digit of q?
4
Suppose -v - 31 = -m + 4, -2 = 2*v. Suppose -4*u = -5*h + 165, -3*h + m + 52 = -5*u. What is the units digit of h?
7
Suppose 5*a = -2*i + 49 + 15, 2*i + 34 = 2*a. Let r(f) = -3*f**3 + f**2 + f - 1. Let k be r(1). Let g = a + k. What is the tens digit of g?
1
Suppose 2*s + 1 = -3*b, 2*b + 2 + 20 = 4*s. What is the tens digit of b*(96 - -3)/(-3)?
9
Let p = 61 + -112. Let b = p - -75. What is the tens digit of b?
2
Let w = -3 - -16. Suppose -153 = -12*f + w*f. What is the units digit of 4/6*f/(-6)?
7
Let p(g) be the second derivative of 1/3*g**3 + 14*g + 1/12*g**4 + 3/2*g**2 + 0. What is the tens digit of p(6)?
5
Suppose 0*g = 5*g - 200. Let r = -554 + 569. Suppose -5*h + r = -g. What is the units digit of h?
1
Suppose 10*s = 7*s + 6. Suppose 0*d - 2*t = s*d - 180, -5*t = -2*d + 180. What is the units digit of d?
0
Let x(v) = 2795*v**2 - 29*v - 28. What is the units digit of x(-1)?
6
Let p = 2862 - 704. What is the thousands digit of p?
2
Let q(l) = -26*l**3 + l**2 + l - 1. Let t be q(1). Let c = -14 - t. Suppose 0 = 4*h - 8*h - 3*m + c, h + 5*m = 7. What is the units digit of h?
2
Suppose -61 = -2*a + 17. Suppose a*u + 9 = 42*u. What is the units digit of u?
3
Let a be ((-21)/6 + 2)/((-9)/132). Let z = a + 21. What is the tens digit of z?
4
Let p(g) = -2*g**2 - 64*g - 9. What is the tens digit of p(-15)?
0
Let y = 138 + -267. Let m = -88 - y. What is the units digit of m?
1
Suppose -6*w - 264 = -4*o - 5*w, -3*w - 337 = -5*o. What is the units digit of o?
5
Suppose 5 = 2*l + 9. What is the tens digit of (-20)/(-25)*660/(l - -5)?
7
Let l(w) = 2*w - 6. Let r be l(7). Let m = 13 - r. Suppose -3*z = -m*z + 42. What is the units digit of z?
1
Suppose -6*j + 3*j + 2914 = 5*f, j + 3*f = 970. What is the units digit of j?
3
Let y(g) = -75*g**3 + 4*g**2 + 3*g - 1. What is the tens digit of y(-2)?
0
Let r = 350 - 74. What is the units digit of r?
6
Let s(p) = -p**3 + 4*p**2 + p - 4. Let a be s(4). Suppose a = -3*j - 3*h + 9, -4*j + j + 2*h - 6 = 0. Suppose j*u + 10 = 5*u. What is the units digit of u?
2
Suppose -5*r + 25 = d, -4*r + 7*r - 15 = 4*d. Suppose 3*a - 869 - 55 = d. What is the tens digit of a?
0
Suppose 0 = 2*p + 10, 5*v - 4*p = -9*p - 10. Suppose -3 = -3*w + v. Suppose 3*b = -w*b + 160. What is the units digit of b?
2
Suppose 4*o - 352 - 32 = -4*p, -268 = -3*p + 2*o. Let d = 221 - 365. What is the tens digit of p/9 + 32/d?
1
Suppose -12*a + 14*a = 2128. What is the hundreds digit of a?
0
Suppose 0 = -39*m - 9982 + 44029. What is the units digit of m?
3
Let a(r) = -4*r**2 + 4*r - 4. Let h be a(-4). Let f = 91 + h. What is the units digit of f?
7
Suppose 0 = 5*c - 6*c + 100. Suppose 154*z - 158*z = -c. What is the units digit of z?
5
Let o be 0 + (5/(-20) - (-554)/8). Suppose -5*p - o = -134. What is the units digit of p?
3
Let g = 23 + -18. Let z(p) = 2*p**3 - 6*p**2 - 8*p + 3. What is the tens digit of z(g)?
6
Let t(m) = -m**2 - 8*m + 4. Let o = 32 - 20. Suppose n + o = -n. What is the units digit of t(n)?
6
Let l(w) = -2*w + 522. What is the units digit of l(0)?
2
Suppose -27 - 15 = -7*l. What is the units digit of 36 + (3 + 0 - l)?
3
Suppose -3*z - 270 = -2*m - 5144, -4*z + 6527 = 3*m. What is the thousands digit of z?
1
Suppose 2*d + 5*q + 462 = 0, 2*d = 3*d + 5*q + 231. Let u be (1 + -3)/(14/d). What is the units digit of 107/3 + 11/u?
6
Suppose 16*c - 516 = 11*c - 2*o, 5*c - 5*o = 530. What is the tens digit of c?
0
Suppose 37*s - 9*s - 42028 = 0. What is the hundreds digit of s?
5
Let q(k) = 11*k + 4*k + 2*k**3 + 0*k**2 - 3*k**2 + 3 + k. What is the hundreds digit of q(5)?
2
Let c = 275 + 194. Let s = c + -335. What is the hundreds digit of s?
1
Let m = 2874 - 1131. Let h be m/14 + (-1)/2. Let p = h + -60. What is the tens digit of p?
6
Let j = 12 - 27. Let f(n) = -5 - 5 - 6 - 4*n - 13. What is the tens digit of f(j)?
3
Let y = -31 - -143. Suppose 4*u = 3*m - 384, -m + y = -4*u - 24. Suppose -4*f + m = 4*r, 4*r + f - 144 + 32 = 0. What is the units digit of r?
7
Suppose -5*l + 29810 = -3*p, 3*l = -280*p + 282*p + 17887. What is the thousands digit of l?
5
Suppose -3879 = -10*a + a. What is the tens digit of a?
3
Let r(y) = -3*y**3 - 12*y**2 + 39*y - 5. What is the units digit of r(-11)?
7
What is the units digit of (12/42 - 15775/(-35)) + -6?
5
Suppose -5*z + 10 + 29 = 3*n, 5*n - 46 = -2*z. Suppose -n*c = -3*c. Suppose -3*u = 5*q + 7, c*q - 3*q + 19 = -4*u. What is the units digit of q?
1
What is the tens digit of 12 - 10 - (-934)/2?
6
Suppose 4*h + 2*j = 219 - 31, -2*j - 226 = -5*h. What is the units digit of h?
6
Suppose 2*p + 10 = -4. Let o = 81 + p. What is the units digit of o?
4
Suppose 0 = -3*k + 207 + 588. What is the hundreds digit of k?
2
What is the tens digit of 4/(24/(-51))*-10?
8
Let c(p) = -2*p + 7. Let z be c(8). Let v = z + 13. Suppose 0 = -w - 4*o + 53 - 11, -4*w - v*o = -108. What is the units digit of w?
2
Suppose 19 = -f + 62. Suppose x - f - 128 = 0. What is the hundreds digit of x?
1
Let w = -39 + 44. Suppose b = 2*b - 5*f - 30, -5*b + w*f + 50 = 0. What is the units digit of b?
5
Let w(m) = -1 + 5*m**2 + 6*m**2 + m**3 - 2*m**3 - 9*m. Suppose -5*k - 60 = -5*f - 0*k, f - 16 = 3*k. What is the units digit of w(f)?
9
Suppose -102*k + 7130 = -92*k. What is the tens digit of k?
1
Let k be (190/6)/(7/21). Suppose 9*g - 10*g = -k. What is the tens digit of g?
9
Let r(z) = 16*z - 2. Let m be r(-1). Let f = -26 - m. What is the units dig