 - 2*m = n*l - 533. What is the units digit of l?
1
Let j be -8*(-5 + 93/(-12)). Suppose 11 = -101*x + j*x. Suppose 742 = -x*g + 2480. What is the units digit of g?
8
What is the units digit of 5 - (122038/(-23) + (-8)/(-1))?
3
Let o(p) be the first derivative of p**5/20 + 5*p**4/3 - p**3/6 - 4*p**2 + 7*p - 8. Let w(v) be the first derivative of o(v). What is the tens digit of w(-20)?
1
Let t = -8 - -17. Let w(f) = f**2 - f**2 - 18 - 7*f + f**2 + 16. What is the units digit of w(t)?
6
Let w be (-3)/(1 + -4)*3. Suppose -2*y = -4*h + y + 4207, w*h + 5*y - 3177 = 0. What is the units digit of h?
4
Let h(o) = o**3 - 2*o**2 - 9*o - 17. Let u be h(7). Suppose c - 280 = u. What is the hundreds digit of c?
4
Suppose -5*z + 66 = 2*d, 59 - 17 = 3*z + 2*d. Suppose -9*k - 2*a = -z*k + 1281, -4*a = 5*k - 2113. What is the hundreds digit of k?
4
Let c = 10750 - 927. What is the units digit of c?
3
Let r(p) = 7 + 88*p**2 + 8 - 74*p**2 - 4. What is the units digit of r(-3)?
7
Let b = -7389 + 31378. What is the tens digit of b?
8
Suppose 2*c - u = 64 - 256, 5*c - 3*u + 482 = 0. Let o = 94 + c. Suppose o = -7*v + 10*v - 36. What is the units digit of v?
2
Let j(w) = -173*w + 3483. What is the units digit of j(-31)?
6
Let o(i) = -i**2 + 4*i + 24. Let r be o(7). Suppose -14*g + 484 = -r*g. What is the units digit of g?
4
Let g(m) = 3*m + 30. Let j be g(-9). Suppose -2*p = j*p + 5. What is the tens digit of ((-8)/10 - p) + 1884/30?
6
Let o(y) = -60*y + 150. Let w(t) = 173*t - 450. Let v(j) = 8*o(j) + 3*w(j). What is the units digit of v(18)?
2
Let k = 399 - 823. Let l = k + 655. Let h = l + -133. What is the units digit of h?
8
Let u(f) = 216*f - 30. Let q be u(4). Suppose 4*k - 13*t - 1147 = -8*t, 3*k - q = -5*t. What is the units digit of k?
3
Suppose 0*p = 3*p + 15. Let d(t) = t**3 + 11*t**2 + 9*t + 8. What is the tens digit of d(p)?
1
Let v(d) = -289*d**3 - d. Let z(p) = -p**3 - 2*p**2 + 3*p - 1. Let f be z(0). What is the hundreds digit of v(f)?
2
Let q(x) = -x**3 + 5*x**2 + 43*x + 1. Let r be q(-8). Let b = 580 - r. What is the units digit of b?
1
Let t(h) = 43*h + 160. Let s be t(-4). What is the tens digit of s/4 - (-893 - 14)?
0
What is the thousands digit of (-12)/(-84) + 42979/7 + 0?
6
Let y(a) be the third derivative of 37*a**5/30 - 5*a**4/24 - 5*a**3/6 + 161*a**2. Let f be -1 + 0/(3 - 6). What is the units digit of y(f)?
4
Let t(x) = -290*x + 2856. What is the units digit of t(-51)?
6
Let m = 339 - 182. Let g = m + -69. Suppose 12 = -v + 4*v, -3*v + g = 2*x. What is the units digit of x?
8
Let n = 31437 - 9551. What is the thousands digit of n?
1
Let k(m) = 68*m**2 + 4*m. Let n(l) = -l**3 + 6*l**2 - 7*l + 8. Let y be (-27)/(-5) - (-4)/(-10). Let b be n(y). What is the units digit of k(b)?
4
Let x = -318 - -324. Let w(b) = 6*b**3 - 13*b**2 + 20. What is the tens digit of w(x)?
4
Let y(r) = 1769*r**2 + 29*r - 122. What is the units digit of y(4)?
8
Let v = 523 + -68. Suppose 0 = -12*j + 7*j + v. What is the units digit of j?
1
Let r be 76/(-8) + 1 + 3/(-6). Let g be (0 + 0)/((r/(-3))/3). Suppose -3*c = -4*n - 204, g = 5*c - 2*n - 285 - 41. What is the tens digit of c?
6
Let w be 40/(-180) - 3766/(-18). Suppose 0 = -9*d + 20*d - w. What is the tens digit of d?
1
What is the ten thousands digit of (40514/(-4) + 19)/((-1)/2)?
2
Let h(g) = 895*g + 927. What is the units digit of h(8)?
7
Let i be (-9 - 114536/(-72)) + (-4)/(-18). Suppose -3*j + 2*j = -5*n + i, -4*n + 1274 = 2*j. What is the units digit of n?
7
Let m(f) = 19*f**3 + 14*f**2 - 364*f - 28. What is the hundreds digit of m(13)?
3
Suppose 0 = 3*a - 0*a - 60. Let o be ((-12)/15)/((-8)/a). Suppose o*s - 5*r - 59 = 38, -s = 4*r - 68. What is the units digit of s?
6
Let p be (-8)/(-36) + 1*(-33702)/27. Let q = -796 - p. Suppose 4*l - q = 5*w, l - 3*w = -4*w + 104. What is the tens digit of l?
0
Suppose -5*x + 25 = -35. Suppose -x*y + 2*y + 40 = 0. Suppose 5*i = 20, -y*t = 2*i - 342 - 118. What is the hundreds digit of t?
1
Suppose -5*x + 3*y = -9322, 23*y = 5*x + 22*y - 9324. What is the units digit of x?
5
Suppose -2*i = 4*z - 5*i + 2186, -3*z + 2*i - 1640 = 0. Let s = -226 - z. What is the hundreds digit of s?
3
Suppose 5*r = -3*g + 6277 + 5818, g = -2*r + 4033. What is the hundreds digit of g?
0
Suppose -4*w + 55 = -3*o - 13, 4*o = -w - 116. Let g(b) = -8*b**2 - 59*b - 17. Let f be g(-7). What is the units digit of (-30 - o)*-2*51/f?
1
Let o(g) = -g**3 - 10*g**2 + 6*g - 14. Let y be o(-9). Let a = 280 + y. What is the units digit of a?
1
Let z = -37 - -40. Suppose -66 = -z*g - 30. Let h = g - -75. What is the units digit of h?
7
Suppose 0 = 35*d - 58 - 47. Suppose -d*v + 5*n + 3484 = 0, -v - 3*n = -1372 + 206. What is the hundreds digit of v?
1
Suppose -122049 + 12445 = -4*n. What is the thousands digit of n?
7
Suppose -5*q - 153 = 4*k, 2*k - 4*k = -4*q - 112. Let x = 50 + q. What is the tens digit of (-699)/(-21) - 6/x?
3
Let x(t) = t**3 - 13*t**2 + 37*t - 2. Let b be (12 - 19) + (-22)/(-1). What is the units digit of x(b)?
3
Let l(h) = 320*h - 157. Let c be l(4). Suppose -d - 3*r + 1123 = 0, 2*r - c = 2*d - 3*d. What is the thousands digit of d?
1
Suppose 0 = -13*u + 67050 + 16514. What is the thousands digit of u?
6
Let y(i) = 4*i**2 - 14*i + 30. Let s be ((-24)/160*4)/(2/(-30)). What is the hundreds digit of y(s)?
2
Suppose 6*b = 461 + 43. Suppose -273 = -3*l - b. What is the units digit of l?
3
Let n = -62 - -71. Suppose -n*w - 125 = -a - 6*w, a - 139 = -4*w. Let z = -36 + a. What is the units digit of z?
5
Suppose 156*d - 24*d - 1258092 = 0. What is the thousands digit of d?
9
Let u(c) = -3*c**2 + 36*c + 264. Let q(t) = -3*t**2 - 2*t + 1. Let x(o) = -5*q(o) - u(o). What is the tens digit of x(-9)?
2
Let k be 0*((-2)/(-4))/((-1)/2). Suppose 4 = 2*f + 4*n - 2, 5*f + 2*n + 1 = k. What is the units digit of (-4)/f + 196 + 1?
1
Let w(h) = 2*h**3 - 20*h**2 - 34*h + 118. What is the units digit of w(20)?
8
Let z be -39*(0 + (-114)/18). Let p = z - 117. What is the units digit of p?
0
Let y be (-36)/(-15) + (-2)/5. Suppose -5*i - 5*a = 5, y*i + a - 6 = -3. Let k = 8 - i. What is the units digit of k?
4
Suppose -c + 7 = 3*s, 2*s = -2*s - 5*c + 13. Suppose -s = 6*u + 16. What is the units digit of (u + 0)/(2/(-58))?
7
Let q = -212 + 200. What is the units digit of 599*(3/9)/((-4)/q)?
9
Suppose 14571 = 3*k + 15*b, -2*k + 5*b = k - 14491. What is the thousands digit of k?
4
Let h(a) = a**3 - 12*a**2 + 22*a - 22. Let g be h(10). Let m(u) = 312*u**2 + 26*u + 55. What is the units digit of m(g)?
1
Suppose d - 597 = -5*a, -3*d + 3*a = 7*a - 1758. Let l = d - 266. What is the units digit of l?
6
Suppose 4*y + 4 = m, -20 = -0*y + 3*y - 5*m. Suppose z + 219 = -y*q - 3*q, -3*z = 4*q + 292. Let w = q - -125. What is the units digit of w?
2
What is the thousands digit of 103/(9 - 48315/5370)?
6
Let c = 5 + -13. What is the units digit of ((-1)/c - (-106935)/(-120))/(-1)?
1
Let d = 9059 + -3045. Suppose 10*j = d + 3926. What is the tens digit of j?
9
Let j(s) = -2*s - 38*s**2 + 39*s**2 + 5*s - 3 - 6*s**3. Let m be j(1). What is the units digit of (-1)/((-20)/m - 5)?
1
Let a be (-154)/539 - (32/(-14) - 1). What is the hundreds digit of a/9 + 560/3?
1
Let t be 44/6 - (0 + (-4)/(-3)). Suppose -t*c + 3*l = -3*c - 702, -2*l = 0. What is the units digit of c?
4
Let m(t) = t**3 + 16*t**2 + 45*t + 84. Let c be m(-13). Let y be (-2)/6 + 1911/9. Suppose -10*u + c*u = -y. What is the tens digit of u?
5
Let d(x) = 8*x**2 - x - 2. Let a be d(-1). Let l(p) = 43*p - 21. Let n be l(a). Suppose -3*c + n = -y - 2, 5*c - 462 = -y. What is the tens digit of c?
9
Let j(n) = -2*n + 22. Let q be j(9). Suppose 20 = -0*p - q*p, 0 = 5*t - 2*p - 865. What is the units digit of t?
1
Suppose 42*f + 160854 - 323610 = 223980. What is the thousands digit of f?
9
Let p be (-182)/(-39) + (-2)/3. Suppose -p*b + 866 + 470 = 0. What is the units digit of b?
4
Suppose -3*d + 4*m = -29, -2*m = -5*d - 5*m + 29. Let a(u) = 5*u**2 - 7*u + 19. What is the tens digit of a(d)?
1
Let r be 4/(-3 - 1) - (-74 - 1). Suppose 3*w - r = 2*s, s + 37 + 14 = 2*w. Suppose -c = w - 128. What is the hundreds digit of c?
1
Let g(v) be the third derivative of v**6/120 - 2*v**5/15 - v**4/2 + 7*v**3/6 - 18*v**2. Let r be g(7). Let z = -33 - r. What is the tens digit of z?
