 is the units digit of s(6)?
6
Let s(a) = -3*a + 9. Let v be s(3). Suppose v = -2*k - 2*k + 144. What is the units digit of k?
6
Let w(m) = -4*m + 3. Let g(d) = -d**3 - d**2 + d - 5. Let n(o) = -o**2 - o. Let u be n(-1). Let z be g(u). What is the units digit of w(z)?
3
Let b(z) be the first derivative of -z**6/15 - z**5/30 + 2*z**3/3 - 11*z**2/2 - 14. Let v(q) be the second derivative of b(q). What is the units digit of v(-2)?
0
Let h(a) = 2*a + 6. Let q be h(-8). Let t be q/25 + (-744)/(-10). Suppose -5*z = -61 - t. What is the tens digit of z?
2
Let o(h) = -h**3 - 4*h**2 - 5*h + 4. Let r be o(-4). Suppose 3 = 27*p - r*p. What is the units digit of ((-416)/80)/(p/(-5))?
6
Let t(f) = -f**3 - 8*f**2 - 9*f - 3. Let o be t(-7). Let b = o + -9. Suppose 32 = 3*h + b. What is the tens digit of h?
1
Suppose -8*b + 2072 = -448. What is the tens digit of b?
1
Let a(y) = 177*y**2 + y. Let l be a(-1). Let q be 4/(-6) - l/(-12). What is the tens digit of 10/35 - (-150)/q?
1
Suppose -4*o - 17649 = 12*u - 17*u, -u - 3*o = -3545. What is the units digit of u?
3
Suppose 5*f = -158 + 383. Let k = f - 31. Suppose k = -s + 3*s. What is the units digit of s?
7
Let j be 7/(14/(-8))*-1. Suppose 0*k + j*k - 8 = 0. Suppose x + 5*g + 2 = -3, 5*g = -k*x + 10. What is the tens digit of x?
1
Let x = -835 + 1274. What is the units digit of x?
9
Suppose -303 = -4*w - f, -5*w = 3*f - 477 + 107. What is the tens digit of w?
7
Suppose -4*a + 6349 = c - 2234, 0 = a - 5*c - 2151. What is the hundreds digit of a?
1
Let v(h) = h**3 - 2*h**2 - 6*h + 4. Let k be v(4). What is the units digit of (448/k - 1) + 4/6?
7
Suppose 0 = 5*a - 5, 4*a = -3*z - z + 14552. What is the hundreds digit of z?
6
Let b(c) = -c + 1. Suppose 4*f = 3 - 11. Let a be b(f). Suppose 2*v = 1 - 3, a*w = -5*v + 4. What is the units digit of w?
3
Suppose 20 = -5*h, 2*m - 1288 = -6*h + h. What is the tens digit of m?
5
Let c(v) = 346*v**2 + v - 2. What is the units digit of c(1)?
5
Suppose 3*g - 69 = 4*a, -3*g = -0*g - 5*a - 72. Suppose 0 = -11*o + g*o - 248. What is the tens digit of o?
3
Suppose -5*q + 6*q - 5*h - 66 = 0, 0 = -q - 2*h + 52. What is the hundreds digit of 1838/14 + (-16)/q?
1
Let n be 134 + -4 + 4 + 0. Suppose -n = -5*r + p + 104, -138 = -3*r + 3*p. Suppose 9*w - 5*w = r. What is the units digit of w?
2
Suppose -3*m = -0*m + 2*m. What is the hundreds digit of (24 + m)*(-253)/(-44)?
1
Let s = 1536 - 799. What is the hundreds digit of s?
7
Let g = -711 + 1319. What is the hundreds digit of g?
6
Let p be (4/6)/(2/15). Suppose -2*b + 0*b - 8 = 0, 0 = -4*c + b + 100. Suppose 0 = z - 4*a - c, -2*a = p + 3. What is the units digit of z?
8
Suppose 0 = -3*f - 0*g - 3*g + 663, 4*f - 5*g - 920 = 0. Suppose -4*a - 5 = -f. What is the units digit of a?
5
What is the units digit of (-4 + 6)*(-1722)/(-12)?
7
Let i(s) = 8*s**2 - 4*s - 2. Let l be i(-3). Suppose 66 = h - l. Suppose 13 = -5*x + h. What is the units digit of x?
7
Let n = 27 + 18. Suppose 5*v - n = -15. Suppose -74 = -v*b + 2*b + q, 5*b - 4*q = 87. What is the tens digit of b?
1
Let p = -128 + 355. What is the hundreds digit of p?
2
Let w(o) = 21*o + 3. Let x(d) = -4*d**2 + d + 1. Let k be x(-2). Let j = k + 19. What is the units digit of w(j)?
5
Let n = 3267 - 1463. What is the units digit of n?
4
Suppose 1295 = 3*w - 0*q + 2*q, 0 = -5*w + 2*q + 2185. What is the hundreds digit of w?
4
Let g = -69 + 71. Suppose -7*c - 144 = -2*j - g*c, j = 3*c + 70. What is the units digit of j?
2
Suppose 18420 = -5*c + 35*c. What is the hundreds digit of c?
6
Suppose -3*b + 541 = -989. What is the hundreds digit of b?
5
Let k = 17 + -9. Suppose -290 = -k*z + 22. What is the tens digit of z?
3
Let r(i) = -10*i + 43. Let y(a) = 2*a**2 + 23*a + 16. Let b be y(-10). What is the tens digit of r(b)?
8
Let a(j) = 2*j + 8. Let c(k) = -k - 9. Let b(f) = 3*a(f) + 4*c(f). Let t be b(6). Suppose t = p - 16. What is the tens digit of p?
1
Suppose 0 = 3*y - 2*y + 5*l - 6169, 0 = -l. What is the units digit of y?
9
Let p = 402 + -13. What is the hundreds digit of p?
3
Let j = -113 - -73. What is the tens digit of (-2512)/j + 2/10?
6
Let r be (24/(-21))/(2/(-7)). Let a(z) = -z + 6. Let v be a(r). Suppose 7*i = -3*b + v*i + 182, -5*b = -2*i - 293. What is the units digit of b?
9
Suppose 0*a - 3*a + 1881 = 0. Suppose 257 = 4*h - a. What is the tens digit of h?
2
Suppose 3*h - 6 = 9. Suppose -2*g - 3 = r, 3*r - h*r - 2*g - 2 = 0. What is the units digit of 10 - (1 + 1/r)?
8
Let q(c) be the third derivative of -c**4/12 - 4*c**3/3 - 5*c**2. Let x be q(-4). Let p(h) = -h**3 + h + 17. What is the tens digit of p(x)?
1
Let r be (-119)/56 - (-1)/8. Let a = r + 43. What is the tens digit of a?
4
Let l(p) = p + 4. Let t be l(0). Suppose t*f = f. Suppose f = 5*a - 4*a - 13. What is the units digit of a?
3
Suppose 5*x - a - 4252 = -2*a, -5*x + a + 4248 = 0. What is the tens digit of x?
5
Let f(v) be the third derivative of v**6/90 + v**5/60 - v**4/24 - v**3 + 5*v**2. Let c(j) be the first derivative of f(j). What is the tens digit of c(-3)?
2
Suppose 7 - 2 = p. Suppose n + 2*n + 5 = 2*w, n - p = -w. Suppose 0*o - o + n = 0. What is the units digit of o?
1
What is the tens digit of ((-566540)/104)/((-15)/6)?
7
Let s = -36 + 37. What is the units digit of (s - -19)*24/40?
2
What is the tens digit of (-7 - (4 - 17)) + 737?
4
Let y be (-1 + 9)*(-319)/(-44). Suppose 4*j + 62 = 2*r, 0 = 4*r - 4*j - y - 86. What is the tens digit of r?
4
Let t = 24 + -19. Suppose -b - 3*s - 2 + 4 = 0, -4*b - t = -s. What is the units digit of 0 + (b - -1 - -4)?
4
Let p be -1 + 3 + 0/(-1 + -1). Suppose q + 119 = p*k, 2*k + q - 134 = -q. What is the units digit of k?
2
Let z be 1 + (3/2 - 1)*0. What is the units digit of (z + -4 + 6)/(3/124)?
4
Let h = -445 - -1587. What is the thousands digit of h?
1
Suppose -k + 2*k - 4 = 0. Suppose -5*t = -3*f + 21, 0*t - 2*t - k = f. Suppose 0 = -5*c + 4*g + 178, 3*c - f*g = -0*c + 106. What is the tens digit of c?
3
Let d = 13343 + -9005. What is the hundreds digit of d?
3
Let y(b) = b**2 + 10*b - 6. Let i be y(-12). Suppose 2 = -5*p - 3. What is the units digit of ((-6)/(-4) + p)*i?
9
Let y = 403 + -411. Let c(x) = -2*x**3 + 10*x**2 - 7*x + 1. Let a(i) = -3*i**3 + 11*i**2 - 6*i + 1. Let k(r) = -3*a(r) + 4*c(r). What is the tens digit of k(y)?
1
Suppose 0 = -2*a - 0*k - 4*k + 22, -4*a = 2*k - 32. Suppose a*f - 14 = 210. What is the tens digit of f?
3
Let s be ((-6)/(-15))/((-4)/40). What is the units digit of -75*s/((-48)/(-4))?
5
Let o = -5 + 12. Let f(a) = o*a - 5 - 4 + 4. What is the units digit of f(3)?
6
Suppose k = -s + 35, -2*k - 113 = -5*k + s. What is the tens digit of k?
3
Let o(a) = a**3 - 6*a**2 + 21*a - 7. What is the units digit of o(4)?
5
Suppose 3*x = -2*a + 2635, -22 = 2*x - 12. What is the hundreds digit of a?
3
Let k(y) = y**3 - 27*y**2 + 122*y + 66. What is the hundreds digit of k(26)?
5
Let y = -465 - -749. What is the hundreds digit of y?
2
Suppose -6*y = -11*y + 20. Suppose 0 = -y*w - 0*w. Let d = w - -4. What is the units digit of d?
4
Suppose -2*k - 2*k = 0. Let j = 3 + k. Suppose -2*b = -f - 16, 5*b - 51 = j*f - 6*f. What is the units digit of b?
9
Let g(u) be the first derivative of -u**6/360 - u**5/120 + u**4/8 - 2*u**3/3 - 5. Let t(y) be the third derivative of g(y). What is the units digit of t(0)?
3
Let w(z) = -z**2 + 13*z - 4. Let f be w(7). Let k = f - 36. What is the units digit of k?
2
Let r = 440 - 38. What is the hundreds digit of r?
4
Suppose 3*b = 4*b - 2. Suppose b*h = 3*h - 5. Suppose -f + j + 21 = h*j, 3*j = -3*f + 27. What is the units digit of f?
5
Suppose 10*p = 11*p. What is the tens digit of 5/(p - 5) - -43?
4
Suppose 0 = -4*i - 4*s - s + 182, -4*i + 194 = -s. Suppose -n = -i - 8. What is the tens digit of n?
5
Let b(d) = -3*d - 6. Let v be 12*(-2 + 9/6). Let a be b(v). Let y = a + 25. What is the units digit of y?
7
Suppose -65*u + 318432 = 107442. What is the units digit of u?
6
Suppose 26*b - 11956 - 19556 = 0. What is the thousands digit of b?
1
Suppose 4*s + 0*g = g - 34, 5*g + 37 = -3*s. Let h = -14 + 20. What is the tens digit of h/9 + (-183)/s?
2
Suppose 346 = -2*b + 2. Let v be (-4)/14 + b/(-14). Suppose 0 = -2*l + 4 + v. What is the units digit of l?
8
Suppose 207*o = 195*o + 16140. What is the hundreds digit of o?
3
