t z(y) = y**3 - 10*y**2 - 12*y + 15. What is the units digit of z(w)?
4
Let g be ((-6)/9)/((-2)/6). Suppose i - 8*p + 3*p + g = 0, 4*i - 2*p = 28. What is the units digit of i?
8
Suppose -4*g + 13 - 5 = 0. Suppose 1 = -g*z + 5. Suppose -10 = z*b + 4*j, -5*b - 3*j + 7*j + 31 = 0. What is the units digit of b?
3
Suppose -3*p - 5*y + 108 = 0, 2*p - 5*y + 51 - 148 = 0. What is the units digit of p?
1
Let v be (2/(-5))/((-3)/(-30)). Suppose 8*o - 3*o + i - 14 = 0, 2*i + 2 = 5*o. What is the units digit of o + 2/v*-2?
3
Suppose 0 = 2*y - 3*y + 10. What is the units digit of y?
0
Let d(s) = 4*s**2 + 2*s + 1. Let c be d(-1). Suppose 4*u = c*u + 15. What is the units digit of u?
5
Suppose -2*j + 11 = -3*w + 48, 2*w - 23 = 3*j. What is the tens digit of w?
1
Let g(y) = y + 13. Let t be g(-10). Suppose 0 = -4*s, -4*s + 4 = 5*c - 36. Suppose t*u + 30 = c*u. What is the units digit of u?
6
Let r(y) = -15*y + 5. Let o(n) = 3*n - 1. Let x(l) = 11*o(l) + 2*r(l). What is the units digit of x(7)?
0
Suppose -5*x + 183 + 357 = 0. Suppose 7*k + x = 11*k. What is the units digit of k?
7
Let s(k) = -k**3 - 5*k**2 + 3*k - 4. Let c(g) = -g + 1. Let q be c(7). What is the tens digit of s(q)?
1
Suppose 0 = -3*y + 2*y. Suppose y = -2*t + 2 + 8. What is the units digit of t?
5
Let b(j) = -j**3 + 6. What is the units digit of b(0)?
6
Let d(r) = r + 2. Let w be d(5). Suppose -1 = -j - 3*y, -j + w = -y - 14. What is the units digit of j?
6
Let h(i) be the third derivative of -i**4/24 + i**3/6 + 3*i**2. What is the units digit of h(-8)?
9
Suppose 11*p - 521 = 986. What is the units digit of p?
7
Let s(t) = 18*t + 21. What is the hundreds digit of s(6)?
1
Let y = -15 - -31. What is the units digit of y?
6
What is the tens digit of 16/12 + 78/9?
1
Let w = -231 - -400. What is the tens digit of w?
6
Let b be (-6)/(-9)*(-9)/3. Let w be 1 - -2*(-11)/b. Suppose s + s - 4*d - w = 0, -36 = -3*s - 3*d. What is the units digit of s?
0
Let a = -7 + 11. Let t(q) = q - 4. Let d be t(a). Let l = 6 - d. What is the units digit of l?
6
Suppose 0 = -10*g + 1094 + 416. What is the tens digit of g?
5
Suppose 80 = -23*b + 27*b. What is the tens digit of b?
2
Let o = -3 - 1. Let h = 3 + o. Let q(u) = u**2 - u. What is the units digit of q(h)?
2
Let w(a) = -a**3 - 10*a**2 - 3*a. Let l(n) = 5*n. Let q be l(-2). What is the tens digit of w(q)?
3
Suppose -14*w + 11*w = -357. What is the hundreds digit of w?
1
Let u = -36 - -53. What is the tens digit of u?
1
Suppose -c + 46 = -0*c. Suppose c = 4*g - 22. What is the tens digit of g?
1
What is the tens digit of (-298)/(-5) + 10/25?
6
Let g(x) = 10 - 3*x + 2*x + 1. What is the units digit of g(-5)?
6
Let h = 6 + -3. Suppose -4*u = -h*l + 50, 0 = -3*l - 2*l + u + 55. Suppose 2*w - 4 = l. What is the units digit of w?
7
Suppose 45 = 5*h - 5. What is the units digit of 442/h + (-3)/15?
4
Suppose 5*x + 5*r + 10 = 0, -5*x + 3*r - 4*r + 2 = 0. What is the units digit of x?
1
Let q(w) = w**2 + w + 1. Let n be q(-2). Suppose 0*i = -i - 2*v + 23, n*v = -9. What is the units digit of i?
9
Let i = 6 + -1. Suppose 5*j + 37 = -n, -i = j - 1. Let k = n - -26. What is the units digit of k?
9
Let g(d) = -d**3 + 9*d**2 - 4*d - 15. What is the tens digit of g(7)?
5
Let r(d) = -d**2 + 8*d - 9. Let f(m) = -m**2 + 9*m + 6. Let w be f(9). Let s be r(w). What is the units digit of 1 - (s/1 + -9)?
7
Let z be (-134)/(-6) - (-8)/12. Suppose 94 = 3*b - z. What is the tens digit of b?
3
Let p(a) = 9*a - 8. Let y be p(-8). What is the tens digit of (864/y)/((-6)/20)?
3
Suppose t - 36 - 18 = 0. Let w = t - 29. What is the units digit of w?
5
Suppose 50 = 5*l - 2*q, 2*q + 11 = 2*l - 3. Suppose l = -3*p + 27. What is the units digit of p?
5
Let w = 25 - 13. Suppose -w = -3*s + 9. What is the units digit of 4/18 + s/9?
1
Let g be (-42)/(-10) - (-3)/(-15). Let f = -3 + 3. Suppose 5*v - g*v - 10 = f. What is the units digit of v?
0
Let v be 6/(-3)*2 - 2. Let g be 2/5 + v/(-10). What is the tens digit of 24*g*(-3)/(-6)?
1
What is the units digit of 0 + 3/9*141?
7
Let b(o) = o - 9. Let y be b(6). What is the tens digit of 10/15 + (-31)/y?
1
Let w be 5*(-2 + (-7)/(-5)). Let l(s) = -2*s**3 - 4*s**2 - 2*s + 3. What is the tens digit of l(w)?
2
Let f = -178 + 345. What is the tens digit of f?
6
Suppose -20 + 170 = 2*a. Suppose 3*h - 2*s = 78 - 16, 4*h - a = -5*s. What is the units digit of h?
0
Let r(i) = -256*i - 8. What is the hundreds digit of r(-1)?
2
Let d be (-2)/4*(-6)/3. Suppose o + d = 26. What is the tens digit of o?
2
Suppose -2*l - 6 = -5*u, -2*u + 0*u + 3*l + 9 = 0. Suppose u = 3*c + 2*c - 50. What is the units digit of c?
0
Let n(g) be the second derivative of g + 0 - 1/4*g**4 + 0*g**2 + 1/6*g**3 + 1/20*g**5. What is the units digit of n(3)?
3
Suppose -t + 14 = t. Let k be (-19)/(-7) - (-2)/t. Let x = k + -2. What is the units digit of x?
1
Let j = 8 + -1. Let o = j + 3. What is the tens digit of o?
1
Let g be 1/1 + (13 - 0). Let b = g + 22. What is the tens digit of b?
3
Suppose u = 26 + 10. Suppose 3*h + 0 = -z - 54, 2*h + u = 2*z. What is the units digit of h/(-3) - (0 + 3)?
3
Let p(r) = -r**3 + r**2 + r - 1. Let m(g) = 5*g**3 - 15*g**2 + 7*g - 5. Let s(z) = -m(z) - 4*p(z). Let y be s(10). What is the units digit of 5/10*(19 + y)?
9
Suppose 10*b - 267 = 153. What is the units digit of b?
2
Suppose 4*w + 4*a - 32 = 0, w + 6 + 1 = 2*a. Let y = 7 - w. What is the units digit of y?
4
Let n = -137 - -228. What is the units digit of n?
1
Let m = 3 + -4. Let l = m + 8. What is the units digit of l?
7
Suppose -8 = l + 50. Let j = 102 + l. Suppose -4*u = -0*u - j. What is the tens digit of u?
1
Let r = 55 - 26. Let b = 6 + r. Let o = b + -19. What is the units digit of o?
6
Let n(j) = -19*j - 1. Let i be n(-1). Suppose -i - 12 = -2*m. What is the tens digit of m?
1
Let l(g) = -g**2 + 6*g - 2. Let p be l(5). Suppose 18 = p*q + 3. What is the units digit of q?
5
Suppose 2*m + 5 = -q - 0*m, -3*q - 4*m = 5. Suppose 0 = -q*u - a - 207 + 41, -5*u = 5*a + 170. Let i = -22 - u. What is the units digit of i?
1
Suppose t = 1, -5*t = 7*s - 5*s + 7. Let m(w) be the first derivative of -3*w**2/2 + w + 1. What is the units digit of m(s)?
9
Suppose -3*c = q - 78, 4*c - 82 - 214 = -4*q. What is the units digit of q?
2
Suppose 777 = 17*x - 787. What is the units digit of x?
2
Suppose -3*h - 30 + 6 = 0. What is the tens digit of (-86)/h - 2/(-8)?
1
Let c(n) = 15*n + 6. Let v be c(3). Suppose -4*u + u + v = 0. What is the tens digit of u?
1
Let i(x) = -3*x + x**2 + 0 - 4 + 0*x**2. Let n be i(4). Suppose n = y + y - 8. What is the units digit of y?
4
What is the tens digit of 36 + (-4 + 3 - -1)?
3
Suppose 5*n - 202 = -x, -n + 161 = 3*n + x. What is the units digit of n?
1
Let i be 32/18 + (-4)/(-18). Suppose 2*v + 22 = y, i*y - 11 - 28 = 3*v. What is the units digit of (-5 - 1)*(-18)/y?
9
Let j(d) = d**3 - 2*d**2 - 5*d + 6. Let g = -11 - -15. What is the units digit of j(g)?
8
Let l(x) be the third derivative of x**4/24 + 11*x**3/6 - 2*x**2. Suppose -w + 3*w - 3*b = -9, 2*w + 5*b - 15 = 0. What is the units digit of l(w)?
1
Let v(i) = i**2 + 15*i + 17. Let s be v(-14). Let c be ((-4)/(-6))/(s/9). Suppose -c*n - 63 = -5*n. What is the units digit of n?
1
Let y(x) = x**3 - 6*x**2 + 6*x - 2. Let c be y(5). Suppose c*f - 6 = 105. What is the tens digit of f?
3
Let z(v) = -2*v + 1. Let g be z(2). Let u = 7 + g. Suppose -u*p + 86 = 5*a, 5*p = -a + p + 30. What is the tens digit of a?
1
Suppose -q - 21 = -a + 166, -4*a - 3*q + 783 = 0. What is the hundreds digit of a?
1
Let k be 4*(-4)/((-4)/1). Suppose -k*x + 5 = -31. What is the units digit of x?
9
What is the units digit of (-1)/(-7) + 248/28?
9
Let z(i) = 5*i - 3. What is the units digit of z(7)?
2
Suppose 0 = -r - 6*z + 3*z, 0 = -4*r + 3*z. Suppose -5*x = 4*n - 147, 3*x + r*n = n + 78. What is the units digit of x?
7
Suppose -988 = -4*j - 4*d, -j + 3*d - 31 = -286. What is the tens digit of j?
4
Suppose 10*r - 6*r = 308. What is the units digit of r?
7
Let y = 197 - 90. What is the hundreds digit of y?
1
Let r(z) = -338*z**3 - z**2 + 4*z + 4. What is the units digit of r(-1)?
7
Let t(n) = -n**2 + 7*n - 8. Let x be t(6). Let d be -2 + 14 + x + -3. Let o = d + -3. What is the units digit of o?
4
Let j = 7 - 5. What is the units digit of (j - 3)/((-3)/6)?