12)). Let y(r) = r**3 + r**2 - 4*r + 3. What is the units digit of y(t)?
7
Let g = -41 + 53. What is the tens digit of g?
1
Suppose 0 + 15 = 5*l. Suppose -l*k - 31 = -h - 78, -5*k - 4*h = -50. What is the units digit of k?
4
Suppose -x + 104 = -63. What is the units digit of x?
7
Let k(y) = 9*y - 22. What is the units digit of k(5)?
3
Suppose 0 = 5*t - 12 - 18. Suppose 3*b + 3*m = t*m + 18, 2*b = -2*m. What is the units digit of b?
3
Suppose 60 = 5*k + 4*d, 3*k - 3*d - 49 = -8*d. Suppose k*y - 168 = y. What is the tens digit of y?
2
Suppose 5*l - 4*f - 232 = 0, l = 5*l + f - 173. What is the tens digit of l?
4
Suppose -3*n + 25 = 2*n. Suppose -x - 19 = -5*p + 3*x, -2*p + 11 = -n*x. Suppose 2*g + p*h - 3 - 1 = 0, 2 = g - 3*h. What is the units digit of g?
2
Suppose 4*u + 4*y = 0, -18 = -5*u + y - 6. Let x be (-3)/((-6)/(-4)) - u. Let s = x - -5. What is the units digit of s?
1
Let h(c) = 9*c - 15. What is the units digit of h(6)?
9
Suppose -2*b - 55 = 3*b. Let o = 31 - b. What is the tens digit of o?
4
Suppose 186 = 4*y - 2*k, 4*y + k - 273 + 84 = 0. What is the tens digit of y?
4
What is the units digit of ((-86)/6)/((-18)/54)?
3
Let q(r) = r**2 + 10*r + 13. Let m be q(-9). Suppose -w + 2*w - 3 = 0. Let v = m + w. What is the units digit of v?
7
Let w(s) = 0*s**2 - 2*s - 1 - 8*s**2 + 0*s. Let m be w(-1). Let q(r) = -3*r - 10. What is the units digit of q(m)?
1
Let y be (4/(-6))/((-1)/(-3)). Suppose 0*x = -x - 7. Let v = y - x. What is the units digit of v?
5
Let a(h) = 10*h + 4. Let d be a(-1). Let o(l) be the third derivative of -l**5/60 - 7*l**4/24 + 5*l**3/6 + l**2. What is the units digit of o(d)?
1
Let l(b) be the second derivative of -b**3/6 + 13*b**2/2 + 3*b. What is the units digit of l(10)?
3
Suppose 4*k + 3*h = h + 10, 10 = 5*k + 3*h. Suppose -5 = -5*n + k. What is the units digit of 4 - 6 - (-5 + n)?
1
Let w = -38 - -65. What is the units digit of w?
7
Let d be (-4 - -19)*4/10. Let z(j) = 3*j + 1. Let q be z(-1). Let n = q + d. What is the units digit of n?
4
Let w(d) = d**2 + 9*d - 8. Let a be w(-8). What is the units digit of (a/(-10))/(2/20)?
6
Let t = -259 - -371. What is the units digit of t?
2
Let l(v) be the first derivative of v**3/3 + v**2 + 6*v + 6. What is the tens digit of l(-6)?
3
Suppose -f = d - 185, 5*f = d - 194 - 3. Suppose -i = 2*u - 43, i + 4*i - 4*u - d = 0. What is the units digit of i?
9
Let i = 15 - 13. Suppose 3 = y - i. What is the units digit of y?
5
Suppose 5*q = 2*n + 408 + 662, -5*q + 1070 = 5*n. What is the units digit of q?
4
Suppose 6 = 3*u - 0*u. Suppose 0 + 21 = -u*h + 5*p, -5*p = -5. Let i(a) = -2*a - 7. What is the units digit of i(h)?
9
Let a = 9 - 8. Let l = 6 - a. What is the units digit of l?
5
Suppose -2*y + 60 + 66 = 0. What is the tens digit of y?
6
Let a(m) = -3*m + 6. Let g be a(-6). Let x = 56 - g. What is the tens digit of x?
3
Suppose -2*u + 3*u - 3 = 0. Let p = 18 - 6. What is the units digit of u/p - (-11)/4?
3
Let w = -84 - -168. What is the tens digit of w?
8
Let k(s) = 4*s + 48. What is the units digit of k(-10)?
8
Let n(g) = -g**3 + 4*g**2 + 4*g + 7. Let r be n(5). Suppose -r*k + 4*y + 10 = 3*k, -2*k - 3*y = -27. Let z = k + -3. What is the units digit of z?
3
Suppose 0 = m - 27 + 9. Let d = 29 - m. Let o = 12 + d. What is the units digit of o?
3
Suppose -c + 6 = 30. What is the tens digit of (c/(-9))/(4/18)?
1
Let l(k) = k**3 - k**2 - 1. Let a(q) = -7*q**2 - 3*q + 2. Let y(o) = -a(o) + l(o). Suppose 2*b + 2 + 8 = 0. What is the units digit of y(b)?
7
Let k be (-1)/2 - 15/(-6). What is the units digit of k/(5/(-7) + 1)?
7
Suppose -27 = -2*h + 31. Let v = h - 17. Let t = 20 - v. What is the units digit of t?
8
Let r = 4 + -1. Let c(i) = -2 + i**r + 5*i + 7*i**2 + 1 + 4. What is the units digit of c(-6)?
9
What is the units digit of (1305/(-60))/((-1)/4)?
7
Let d be 29/4 - 24/(-32). Let k = -7 + 14. Let w = d - k. What is the units digit of w?
1
Suppose 9 = -3*u, -2*u = -q - u + 6. Suppose -7*w + 8 = -q*w. Suppose 12 = 5*o - w*o. What is the units digit of o?
4
Let z = -6 + 14. Suppose q = -3*y + 4*q + 12, y - z = 5*q. Suppose y*f = -f + 20. What is the units digit of f?
5
Let i(x) = x**3 - 6*x**2 - 2. Let p(o) = o**2 + 6*o + 6. Let a be p(-6). Let n be i(a). Let b = n + 10. What is the units digit of b?
8
Let l(b) = -3 - 5 + 10 + b + 8. Let w be l(-9). Suppose -w + 6 = n. What is the units digit of n?
5
Let d(b) be the second derivative of b**5/4 - b**4/4 + b**3/2 - 5*b**2/2 - 5*b. What is the units digit of d(2)?
9
Let f = 19 - 14. Let t(d) = 6*d - 3. Let v(c) = 17*c - 9. Let b(i) = -11*t(i) + 4*v(i). What is the units digit of b(f)?
7
Let v = 102 + -35. What is the tens digit of v?
6
Let c = -7 - -13. Let x be 60/16 - 2/(-8). Let h = c - x. What is the units digit of h?
2
Let y = 4 + -4. Let x = -2 + y. What is the units digit of x/3 - 42/(-9)?
4
Let h = 1 + 1. Let z be -6*(2 - (-11)/(-3)). Suppose -h*p + 8 + z = 0. What is the units digit of p?
9
Let d(l) = -l + 15. What is the units digit of d(9)?
6
Let h = -40 + 88. Suppose 5*w - 50 = 5*b + 10, -b = -4*w + h. What is the tens digit of w?
1
Let d be 5/(-15) - 314/(-6). What is the tens digit of (-396)/(-39) + (-8)/d?
1
Let n(u) = u**2 + 15*u + 14. Let t be n(-14). Suppose -3*s + 15 = k - 3, 4*s - 8 = t. What is the tens digit of k?
1
Let j(x) = 5*x + 23. Let h(f) = -f - 3 - f - 9. Let v(s) = -7*h(s) - 3*j(s). What is the units digit of v(7)?
8
Let y(u) = -2 + 5*u + 0 - 1 - 3. What is the units digit of y(5)?
9
Let n(y) = y - 2. Let a be n(4). Suppose -a*m + 4*p + 34 = 0, 4*p + 8 + 8 = 0. What is the units digit of m?
9
Let m(g) be the first derivative of -g**2/2 - 3*g - 2. Let c be m(-10). Let z = 4 + c. What is the units digit of z?
1
Let q(a) = -a**2 - 10*a - 9. Suppose 0 = p - 0*p - 5. Suppose 3*x - p*b = -13, b - 17 = 3*x - 0*x. What is the tens digit of q(x)?
1
Suppose -6*m + 18 = -2*m + 3*i, -5*i + 7 = -m. Suppose p - 10 = -3. Suppose -5 = -m*c + p. What is the units digit of c?
4
Let q be 2*(2 + (-1)/(-2)). Suppose -2 = 3*v + 4*c, -2*v - 5*c - q = 1. What is the units digit of v?
2
Let w(t) = -2*t + 3. Let r be w(-3). Suppose -3*y + r = -i - 0*i, y = i + 5. What is the units digit of y?
2
Suppose a = -1 + 3. Suppose -5*h = -h + 5*t + 5, a*h = -2*t. Let j = h - -4. What is the units digit of j?
9
Let j = -8 + 5. Let v = j - -5. Suppose 0*f + 2*f + 34 = 4*a, 0 = 2*a + v*f - 8. What is the units digit of a?
7
Let w = -6 - -41. Suppose -u - 36 = -s, 5*s + 3*u - 185 - w = 0. What is the units digit of s?
1
Suppose 2*v - 33 - 41 = 0. What is the units digit of v?
7
Let r be 14*((1 - 2) + 3). Suppose -5*k - r = -7*k. What is the units digit of k?
4
Let k be (3 + -1)*2/4. Let y(a) be the first derivative of 11*a**4/4 - a**3/3 - 1. What is the tens digit of y(k)?
1
Let s = 176 + -90. What is the tens digit of s?
8
Let h(k) = k**3 - 3*k**2 - 5*k + 9. Let y be h(4). Suppose p - 43 = -2*w, -y*p - 3 = -w + 2. What is the units digit of w?
0
Suppose -c - 4*c + 15 = 0. What is the units digit of (-21)/(-4) + c/(-12)?
5
Let b be (-6)/(-1)*(-2)/(-3). Suppose -4*l - 3 = -b*h - 91, 4*h + 70 = 3*l. What is the units digit of l?
8
Let m(v) = -v**3 + 32*v**2 + 9*v - 36. What is the tens digit of m(32)?
5
Let v(g) = -g**3 + 5*g**2 + 2*g + 1. What is the tens digit of v(5)?
1
Suppose 0 = -3*w + 5*d - 4, 3 = 4*w + d - 7. Suppose -12 = -4*h, -3*c + 6*c + w*h - 15 = 0. What is the units digit of c?
3
Let p(r) = 15*r + 4. What is the tens digit of p(3)?
4
Let m(s) = s**3 - s**2 + 21. What is the tens digit of m(0)?
2
Suppose 21 = 3*t + 3*x, -5*x + 19 = -t + 2*t. Suppose t*c = 3*c + 4. Suppose 0 = -c*y + z - 4*z + 4, 5*z = 2*y - 2. What is the units digit of y?
1
Let s(y) = -y**3 + 12*y**2 + y - 6. What is the units digit of s(12)?
6
Let z = -11 + 15. Suppose 2*h + 0*m = 2*m + 58, -z*m = -8. What is the tens digit of h?
3
Let s(j) = 463*j + 1. Let w be s(1). What is the units digit of (-4)/14 + w/56?
8
Let x = -2 - -3. Suppose w + 0*w - x = -h, 2*w + 4*h = -8. What is the units digit of w?
6
Let j(v) = -v**2 + 8*v - 9. Suppose -5*w - 5 = 0, -n - 2*w = 4*n - 28. Let f be j(n). Let y = 1 + f. What is the units digit of y?
4
Let i = 99 - 11. What is the units digit of i?
8
Suppose 0 = 3*i - 4*x + 2*x - 231, 4*i = x + 308. What is the units digit