?
1
Suppose 4*c = 3*i + 1 + 23, -c = -i - 6. Let a = -73 + -13. What is the units digit of (-1)/c - a/12?
7
Let u(w) = -4*w**2 + 2*w - 3. Let m be u(-3). Suppose 9*x + 387 = 8*x. What is the units digit of (-4)/(-10) + x/m?
9
Suppose -3*a - 2*d = 15, 2*a + 26 = 6*d - 2*d. What is the tens digit of 0 + -2 - (a + -40)?
4
Suppose -3*i - 3766 = -y, -30*y + 3*i - 7496 = -32*y. What is the hundreds digit of y?
7
Let g(c) = -26*c - 1 - 5 + 16*c**2 + 29*c. What is the tens digit of g(-4)?
3
Suppose -4*q - 4*k + 170 = -114, -3*q + 4*k + 178 = 0. What is the tens digit of q?
6
Let y be 460/36 + -1 + 8/36. What is the hundreds digit of y/(-30)*(-15)/6 + 283?
2
Let r = 56 + -53. Suppose -2*v - 71 = -j - 7, v = r*j - 207. What is the units digit of j?
0
Suppose 0 = -15*k + 4*k - 693. Let u = 156 + k. What is the units digit of u?
3
Suppose -108 = x + 46. What is the units digit of (-5)/((-15)/x)*(-6)/4?
7
Let g be (-2)/(-5 + 3) - (-65 - -3). Let f = g + -42. What is the tens digit of f?
2
Suppose -158 = -r - z, -3*z + 2*z + 626 = 4*r. What is the units digit of (r/2)/(5 + -3)?
9
Let s = 33 + -31. Suppose 3*f + 2*k - 139 = 1, -4*f = -s*k - 182. What is the units digit of f?
6
Let a(h) = h**2 - 12*h + 20. Let b be a(9). What is the tens digit of (((-105)/(-6))/b)/(1/(-54))?
3
Suppose 4*y = -3*u + 3886, -5*y - 2*u + 4854 = -0*y. What is the hundreds digit of y?
9
Suppose 18*u - 24 = 24*u. What is the tens digit of (u/(-10))/(3/480)?
6
Let j(s) = -s**3 + s**2 - 2*s - 3. Let m be j(3). Let x = 15 - m. What is the tens digit of x?
4
Let k = 45 - 286. Let g = k - -423. What is the hundreds digit of g?
1
Let h(l) = -2*l**3 - 41*l**2 + 33*l - 56. Let g(v) = v**3 + 20*v**2 - 16*v + 28. Let j(t) = -13*g(t) - 6*h(t). What is the tens digit of j(-15)?
4
Suppose m - 13 = -5. Suppose -m*d + 5*d + 210 = 0. What is the tens digit of d?
7
Suppose -4157 = -3*n - 2*f, -3*n + 8*f = 13*f - 4169. What is the units digit of n?
3
Let h(b) be the first derivative of b**5/20 + b**4/2 - 2*b**3/3 + 3*b**2 + 8. Let l(g) be the second derivative of h(g). What is the tens digit of l(-6)?
3
Suppose 5*o - 1527 = 12058. What is the thousands digit of o?
2
Let j be ((-5 + 7)/(6/129))/1. Let g = j - 39. What is the units digit of g?
4
Let j(l) = l**3 - 5*l**2 + 5*l. Let s = 14 + -10. Let x be j(s). Suppose x*v - 3*v = 16. What is the tens digit of v?
1
Let q(l) = -471*l + 116. What is the hundreds digit of q(-7)?
4
Suppose -28 = -5*t - 2*w - 10, -4*t + 5*w = 12. Suppose c + 18 = t*c. Suppose 5*x = 2*x + c. What is the units digit of x?
6
Suppose -55*d + 153083 = -84187. What is the thousands digit of d?
4
Let d be ((-4)/6)/(12/18). Let s be (11 + -12)*1*d. What is the units digit of (1/s)/((-3)/(-111))?
7
Suppose -3*t + 16*t - 65 = 0. Suppose -3*d - t*g + 0*g + 709 = 0, -d + 253 = 5*g. What is the units digit of d?
8
Let k(h) = -10*h + 20. Let i(w) = 5*w - 10. Let y(l) = -5*i(l) - 3*k(l). What is the tens digit of y(12)?
5
Suppose 42*p - 4*q - 862 = 39*p, -3*p + 2*q + 860 = 0. What is the hundreds digit of p?
2
Suppose 6*q + 3158 - 13346 = 0. What is the thousands digit of q?
1
Let j(p) = 2*p + p + 3 + 12*p. Let k = -1032 + 1036. What is the units digit of j(k)?
3
Let w be (-86)/(5/((-15)/6)). Let o(s) = s**2 + 4*s. Let a be o(-10). Let l = a - w. What is the tens digit of l?
1
Let f(s) = -s**3 + 8*s**2 + 33*s - 14. Let j be f(11). Let p be -1 - 56/(-3 + 1). Let v = p + j. What is the tens digit of v?
1
Let n(o) = -o**3 + 12*o**2 + 15*o - 14. Let d be n(13). Suppose 6*x = 2*x + d. What is the tens digit of -22*(x + 28/(-8))?
1
Let u(b) = 22*b - 53. Let l(w) = 15*w - 35. Let i(p) = 7*l(p) - 5*u(p). What is the units digit of i(-5)?
5
Suppose l - q + 6 = 0, -4*q - 16 = 5*l + 5. Let v be (-147)/l + (-9)/(-15). Suppose 2*t + 6 = v. What is the units digit of t?
2
Suppose 0*x - x = -5. What is the units digit of x?
5
Let y(n) = 18*n**2 - n - 21. What is the thousands digit of y(-13)?
3
Let h = -11 - -23. What is the units digit of h/2*6*4/18?
8
Suppose -2*z - 29 - 109 = -h, 0 = -4*h - 5*z + 578. Let b be 206 - (4 - 3)/(-1*1). Let i = b - h. What is the units digit of i?
5
What is the hundreds digit of (4562/4)/((-8)/(-16))?
2
Suppose -19*b + 218 = -16806. What is the units digit of b?
6
Suppose 20 = 5*o, 31*o = w + 32*o - 1278. What is the hundreds digit of w?
2
Suppose 0 = 4*j + 3*g - 3300, j - 5*g = 1178 - 376. What is the tens digit of j?
2
Suppose 5*g - 923 = -3*h, 1563 = -3*h + 8*h - 4*g. Let x = h + -100. What is the units digit of x?
1
Let g(m) = -29*m - 3. Let p be g(-2). Let n = 4 + p. What is the tens digit of n?
5
Let j(h) = 7*h**3 - 4*h + 5. Let l be j(1). Suppose 846 = l*g + g. What is the tens digit of g?
9
What is the units digit of 18/(-21) + 38718/42?
1
Let o = 46 - 20. Suppose 1 = -p, 0*p = -d - p + o. What is the tens digit of d?
2
Let t(s) = -3*s. Let r be t(1). Let o be r/(-6)*0/(-4). Suppose o = 3*h + n - 31, -2*n - 8 - 20 = -4*h. What is the units digit of h?
9
Let r(x) = -13*x**3 + 4*x**2 + 3*x - 8. Let t(n) = 13*n**3 - 3*n**2 - 2*n + 7. Let o(l) = -4*r(l) - 5*t(l). What is the tens digit of o(-2)?
0
Suppose 0 = -3*s + 2*i + 1145, 8*s - 3*s - 1909 = 3*i. What is the tens digit of s?
8
What is the hundreds digit of (6/(-8)*-7)/(1/136)?
7
Let f(b) = b**2 + 12*b - 1. What is the hundreds digit of f(-19)?
1
Suppose -3*h - 2*s - 2*s - 56 = 0, 5*h + 2*s + 112 = 0. What is the tens digit of ((-317)/(-4) - 0) + h/(-32)?
8
Suppose 2*h = -2*k + 476, 2*h - 20 = 7*h. What is the units digit of k?
2
Suppose -9*u + 7*u - 3*q + 1601 = 0, 5*q = -3*u + 2403. What is the tens digit of u?
9
Let c(h) = h**3 - 7*h**2 + 14*h - 11. Let f be c(5). Suppose f*z = 400 - 148. What is the units digit of z?
8
Let i = 200 + 220. What is the units digit of i?
0
Suppose -26*q + 8*q + 11844 = 0. What is the hundreds digit of q?
6
Let p(n) = -n**2 + 12*n - 28. Let t be p(7). Suppose -3*q - 420 = -t*q + 5*g, -4*q - 3*g = -388. What is the units digit of q?
0
Let c(w) = 9*w - 23. Let j be c(5). Let x = -3 + j. What is the tens digit of x?
1
Let q(f) = -f**3 - 12*f**2 + 12*f - 7. Suppose 0 = 2*g - 6*g - 52. Let o be q(g). Suppose o*l = 2*l + 96. What is the units digit of l?
4
Let l = 11 + -2. Let k be l/(-27) + 133/3. Suppose -4*b - 2*t + 88 = 0, b + 0*t - k = 5*t. What is the units digit of b?
4
Let u(m) = 76*m + 52. What is the thousands digit of u(23)?
1
Let d = -8 + 10. What is the units digit of ((-45)/d)/(10/(-20))?
5
Let x = -20 - -25. Suppose 4*n + 0*t - t - 270 = 0, -x*n = 5*t - 325. What is the units digit of n?
7
Suppose 5*a = -3*q + 51, 3*q = 4*a - 15 + 39. Let z(g) = 5*g - 19. What is the units digit of z(q)?
1
Let o(b) = b**2 + 30. Let k be o(-9). Let v = k - 99. What is the tens digit of v?
1
Suppose 43 = 4*y - 53. Let k = y - 7. What is the tens digit of k?
1
Let r(i) = i**2 + 20*i - 13. What is the units digit of r(6)?
3
Suppose -42 = -2*n + 4*l - 2, 54 = 3*n - 3*l. What is the units digit of (1*n/(-6))/((-8)/240)?
0
What is the tens digit of (552/18)/(18/189)?
2
Suppose -2*s - 2*u + 0*u = -344, -4*u = 5*s - 857. Let f = s + -16. What is the tens digit of f?
5
Suppose 3*m = 2*w + 10, -2*w = 2*m - 7*w - 25. Let i be (-6)/(-1 + -1 + m). Suppose -t - i*t = -76. What is the units digit of t?
9
Let h = 41 + -61. What is the units digit of ((-16)/h)/(1/350)?
0
Let i = 5199 - 3346. What is the hundreds digit of i?
8
Let z = 52 - 52. Suppose z = 5*h + 6*h - 1144. What is the hundreds digit of h?
1
Let j(l) = 5*l**3 - 7*l**2 + 6*l - 3. What is the tens digit of j(6)?
6
Let u = 11 - 14. Let m be 4 + 36 - 1*u. Suppose -18 = -s - 2*h, 4*s - 2*s - 3*h - m = 0. What is the units digit of s?
0
Let j = -9 - -82. Suppose -224 = -j*k + 71*k. What is the hundreds digit of k?
1
Let q(y) = y**3 - 13*y**2 - 30*y - 10. Let i be q(15). Let a = i + 11. What is the units digit of a?
1
Suppose -4*o + 0*b + 3*b - 42 = 0, -3*b = -5*o - 54. Let n be o/10*15/(-2). Suppose m - n = -2*m. What is the units digit of m?
3
Let y be (-38)/((36/(-40))/(-9)). Let b be -4 + (y/(-4))/5. What is the units digit of (-2 - b/(-3)) + -2?
1
Suppose 12*i - 15*i + 354 = 0. Let p = i + -90. What is the units digit of p?
8
Suppose 5*b - 2920 = 4*t + 1869, -t + 4 = 0. What is the units digit of b?
1
Let d(b) = 77*b**3. Let z be d(1). Let w(