208 - m. Let o = -7 + t. What is the units digit of o?
1
Let t = -49 + 43. Let q be (t/(-4))/((-25)/(-50)). Suppose 8 = 5*n + q. What is the units digit of n?
1
Let c(l) = -l**3 - 30*l**2 - 82*l - 24. Let y be c(-27). Suppose 3*b - 6*s + 3*s - 906 = 0, -y*b + 902 = -4*s. What is the hundreds digit of b?
3
Let g = -536 + 727. Suppose 2573 - g = 2*y. What is the tens digit of y?
9
Let a = 13460 + -4861. Suppose 233 = 24*f - a. What is the tens digit of f?
6
Let d = 589 + -421. Suppose -4*m = -1028 - d. What is the units digit of m?
9
Let p(b) = b + 23. Let f be p(-8). Let q(v) = 2*v**2 + 7 + v**3 - 2*v**2 - f*v - 3*v**2 + 8. What is the tens digit of q(6)?
3
What is the ten thousands digit of (1/(-12) - (-113589924)/5040) + (-3)/5?
2
Suppose -12717 = -7*h - 4086. What is the hundreds digit of h?
2
Suppose -98*x = -97*x + 3. What is the tens digit of 281 + (-2)/(1*2/x)?
8
Suppose 0 = -3*t - 4*n - 0*n - 1341, -12 = 4*n. Let s = 692 + 52. Let d = s + t. What is the hundreds digit of d?
3
Let l(h) = h**3 + 20*h**2 + 38*h + 41. Let b be l(-18). Suppose -2*r + b*r - 201 = 0. What is the units digit of r?
7
Suppose 4*b + j = 116, -2*b - b + 3*j = -102. Suppose 0 = b*k - 35*k + 3050. What is the hundreds digit of k?
6
Suppose -3*x + 36629 = 3*f + 2*x, -4*f = -3*x - 48858. What is the ten thousands digit of f?
1
Let f be 10/(-4) - 230/(-92). Suppose -66*p + 53*p + 8333 = f. What is the hundreds digit of p?
6
Let d(n) = 45*n + 99. Let y(s) = 47*s + 100. Let q(b) = -3*d(b) + 4*y(b). What is the hundreds digit of q(28)?
5
Suppose 19*i - 121486 = -20*i - 24883. What is the hundreds digit of i?
4
Suppose 4*h - 11779 = -5*z, -h + 27*z - 24*z + 2966 = 0. What is the thousands digit of h?
2
Let x = 4627 - 454. What is the tens digit of x?
7
What is the units digit of -17 - -8 - -30 - -32635?
6
Let q(n) = -15*n + 60. Let p be q(-6). Let t = -131 + p. What is the tens digit of t?
1
Let l be ((-1772)/(-3))/((-8)/(-12)) - 3. Suppose 5*h - l - 247 = 0. Let w = h - 147. What is the units digit of w?
9
Let f(n) = 1302*n + 11. Let c be f(2). Suppose -13*t = -18*t + c. What is the tens digit of t?
2
Let i(k) = 19*k**2 + 158*k - 24. What is the thousands digit of i(47)?
9
What is the hundreds digit of 0 + 27 - 11 - -11429?
4
Let h(r) = -r**2 - 5*r + 10. Let p be h(-6). Suppose -5*x + 2461 = 2*z - 1351, 2*x = p*z + 1544. What is the units digit of x?
4
Let d(a) be the second derivative of a**4/12 + 10*a**3/3 + 160*a**2 + 12*a + 8. What is the hundreds digit of d(25)?
4
Let i = -12 - -30. Let z(t) = -t**2 + 19*t + 33. Let g be z(i). What is the units digit of ((-18)/10)/(g/(-6290))?
2
Let a = -1776 + 6148. Suppose 48*x - 61156 = -a. What is the units digit of x?
3
Let z(w) = w. Let o be z(3). Suppose -5*x = o*g + 40, -2*g - 45 = 5*x + 2*g. What is the units digit of 124 + 1 - (x + 3)?
7
Let z = -865 + 900. Suppose 0 = 41*a - z*a - 2142. What is the tens digit of a?
5
Let p(w) = w**2 - 22*w - 23. Let b be p(17). Let c = b + 112. Suppose 0 = -2*q - 3*u - u + 80, 0 = c*u - 20. What is the units digit of q?
0
Suppose 23 = m - 2*t - 3*t, 57 = 3*m - 3*t. Suppose 0*l + m = 9*l. Suppose -4*y + 260 = -l*y. What is the hundreds digit of y?
1
Suppose -4*b + 45336 = 2*h, -35372 = -3*h + b + 32618. What is the ten thousands digit of h?
2
Let a be 3 + 3/((-9)/(-2616)). Suppose -16*t - a = -23*t. What is the units digit of t?
5
Let i(d) = -875*d - 153. Let g be i(-6). Suppose 5*t + 4*k - 8495 = 0, -g = -3*t + 14*k - 11*k. What is the thousands digit of t?
1
Suppose w = -3*w - 64. Let z be ((-4)/w)/(-1*1/4). Let t(c) = -26*c**3 - c**2 + 1. What is the units digit of t(z)?
6
Let x = 7079 + -451. What is the hundreds digit of x?
6
What is the thousands digit of (123 - (-5 + 4))/(-1 + (-225)/(-224))?
7
Let z(b) = b**3 + 3*b**2 + b + 8. Let m be z(-4). Let l = 42 - 94. What is the units digit of (m/(-7))/(l/(-2002))?
6
Let r(c) = -c**3 - 20*c**2 - 20*c - 42. Let s be r(-21). Suppose 0 = -22*v - 2007 + s. What is the units digit of (364/(-6))/(36/v)?
1
Let l = -26 + 24. Let h be ((-16)/(-20))/(l/25) + 0. What is the units digit of (234/(-5))/(3/h)?
6
Suppose -30821 = -3*p + 4*q, -9*q = -4*p + p + 30846. What is the thousands digit of p?
0
Let a(o) = 16*o + 180. Let k(n) = -16*n - 177. Let l(h) = -5*a(h) - 6*k(h). What is the hundreds digit of l(29)?
6
Suppose 4*h = 5*o + 32054, 3*o - 14856 - 1204 = -2*h. What is the hundreds digit of h?
0
Let i(o) = -20*o**2 - 3*o + 2. Let v be i(1). Let p be (-1)/(-3) + 763/v. Let n = p + 163. What is the tens digit of n?
2
Let a = 7483 + 58986. What is the hundreds digit of a?
4
Let c = 137 + -135. Suppose -5*g + 3*i = -2046, c*i = 4*i - 6. What is the units digit of g?
1
Let h(r) = -r**3 - 161*r**2 - 204*r + 4374. What is the units digit of h(-160)?
4
Let x = 6697 - 3663. What is the units digit of x?
4
Let p = -34 - -36. Let j be p - 0 - (8 - 4 - 4). Suppose 5*n = 2*b + 55, -4*b = j*n - 0*b + 2. What is the units digit of n?
9
Let o = 89570 - 54364. What is the tens digit of o?
0
Let l(d) = -27*d**2 + 2248*d + 22. What is the units digit of l(80)?
2
Let o(x) be the second derivative of 5*x**4/12 + 13*x**3/3 + 17*x**2/2 + x. Let c = -615 + 608. What is the tens digit of o(c)?
8
Suppose 48*w - 312660 = 549330 - 203574. What is the ten thousands digit of w?
1
Let j(f) = f. Let o be j(7). Suppose -3 = -3*w, -o*t + w + 1329 = -5*t. What is the units digit of t?
5
Let r = 317 + -157. Suppose -2*b - r = 2*b. What is the units digit of (-3)/(-5) - 6616/b?
6
Let o = -17956 - -34718. What is the hundreds digit of o?
7
Suppose -236977 = -33*k - 12*k + 993413. What is the hundreds digit of k?
3
Let s(i) = 8*i + 124. Let t be s(-15). Suppose 3*z = 3*k - 516, k + t*z = -0*k + 147. What is the hundreds digit of k?
1
Let u(j) = 4*j**3 - 12*j**2 - 5*j + 184. What is the thousands digit of u(12)?
5
Let m(i) = -i**3 + 87*i**2 + 222*i + 371. What is the tens digit of m(86)?
5
Let r = -106 + 107. What is the tens digit of (-14 + 8 + 2472)*r/3?
2
Let l = 100 - -223. Let m = -87 + l. What is the tens digit of m?
3
Let b = 41 - 47. What is the units digit of 4248/11 + b/33?
6
What is the thousands digit of 11/(308/27168)*(-4557)/(-186)?
3
Suppose p = 2*i - 3, 5*p = i + 5 + 16. Let g = 15 + i. Let n = -6 + g. What is the tens digit of n?
1
Let q(t) be the third derivative of 917*t**4/24 + 14*t**3/3 - 2*t**2 - 36. What is the units digit of q(2)?
2
Suppose -4*s + 32 - 40 = 0. Let f be 1 + s/(-6)*(-4 + -2). What is the units digit of f + -23*(-2 - -1)?
2
Let u(s) be the second derivative of s**5/15 + 5*s**4/24 + 2*s**3 - 11*s**2/2 - 22*s. Let y(w) be the first derivative of u(w). What is the tens digit of y(5)?
3
Let x be (-50)/(-16) + 2/(-16). Suppose x*o - 1 - 2 = 0. What is the tens digit of (-87)/(-6) + (1/2)/o?
1
What is the hundreds digit of 2/(10556/(-3521) + -1 + 4)?
0
Suppose -3*l + 830 + 1095 = -k, l - 2*k = 635. What is the hundreds digit of l?
6
Let s(o) = -19*o + 51. Let j be s(2). Let l(i) = 4*i**2 - 34*i. What is the tens digit of l(j)?
3
Let c(b) = 7*b**3 + 8*b**2 - 31*b + 123. What is the tens digit of c(7)?
9
Let p be (-1)/((4/140)/(-1)). Suppose 0 = 2*g - u + 5*u - 78, p = g + 4*u. Suppose -7*b + g + 1091 = 0. What is the hundreds digit of b?
1
Let f(k) = -k**3 - 2*k**2 + 1. Let j be f(0). What is the tens digit of ((5360/25)/(-4))/(j/(-5))?
6
Let j(g) = 2839*g**2 - 60*g - 385. What is the hundreds digit of j(-5)?
8
Let v = -196 - -156. What is the hundreds digit of (2258/4)/((-20)/v)?
1
Suppose -5*d - 75 = -5*u, u = -u + d + 32. Suppose 12541 = -u*a + 3174. Let n = -301 - a. What is the tens digit of n?
5
Suppose 71*o - 1604055 = 267292. What is the ten thousands digit of o?
2
Let u(c) = 48*c**2 - c - 3. Let f be u(5). Suppose -3*q - 3627 = 2*p, 0 = -12*q + 11*q + 5*p - f. What is the hundreds digit of (-2)/5 + q/(-5)?
2
Let u(x) = -x**3 - 2*x**2 + 149*x - 40. What is the thousands digit of u(-36)?
8
Let d(w) = -w**3 - 5*w**2 + 17*w + 7. Let j(l) = 5*l - 45*l**2 - 31 - 44*l**2 + 4*l + 90*l**2. Let q be j(-11). What is the tens digit of d(q)?
7
Let q(d) be the first derivative of d**3 - 9*d**2 + 9*d + 6. Let c be q(13). What is the tens digit of (6/(-18))/((-2)/c)?
4
Let z(u) = -301*u + 27. Let p be z(-9). Let d = 4836 - p. Suppose 9*w = -3*w + d. What is the 