+ 8 = -k. Let u = 6 - k. What is the units digit of u?
2
Suppose 16 + 12 = 4*c. What is the units digit of (-22)/77 - (-142)/c?
0
Let f(d) = -6*d**3 - 8*d**2 - 9*d + 14. Let k(o) = -7*o**3 - 8*o**2 - 10*o + 15. Let b(y) = -6*f(y) + 5*k(y). What is the tens digit of b(-7)?
1
Let c be (-5)/(15/(-2))*6. Let v = 8 - c. Suppose v*w - 3*w - 15 = 0. What is the tens digit of w?
1
Suppose 17 = -2*o - 5*v, -4*o + 7 = 2*v + 33. Let s(g) be the second derivative of -g**3/6 - g**2 + g. What is the units digit of s(o)?
4
Suppose -d - w = -103, 5*d = -0*w - 2*w + 503. What is the tens digit of d?
9
Let j(h) = -h**2 - 17*h - 16. What is the units digit of j(-12)?
4
Let y(k) = -9*k - 2. What is the units digit of y(-3)?
5
Let t(h) = 7*h**2 + 7*h + 3. What is the hundreds digit of t(6)?
2
Let w(a) = -a**2 - 1 + a**2 - a - 3*a**2 + 2*a**2. Let n be w(-2). Let l = 1 - n. What is the units digit of l?
4
What is the tens digit of ((-3)/6)/(1/(-50))?
2
Let p be 74/14 - 4/14. Let o be (-4)/(-10) + 23/p. Suppose -o*i + 5*w + 10 = 0, -2*w = -4*i + w + 9. What is the units digit of i?
3
Let g = 114 + -49. What is the tens digit of g?
6
Suppose 3*a = o - 5*o + 82, 0 = -2*a - 5*o + 57. Suppose n = 4*n - y - 45, 0 = n - 4*y - a. What is the units digit of n?
4
Let o(p) = -p**3 - 8*p**2 - 5*p + 17. Let q be o(-7). Suppose 0 = -q*i - k + 5, 4*i - 2*k = -0*i + 10. What is the units digit of i?
2
Let p(h) = 2*h**3 - 11*h**2 + 5*h - 4. What is the units digit of p(7)?
8
Let o = -265 + 486. What is the hundreds digit of o?
2
Suppose 4*k = -a + 15, -3*k - k + 19 = -3*a. Let u(n) = -13*n**3 - n**2 + n + 1. What is the tens digit of u(a)?
1
Let y = -1 - -33. Suppose -3*g + 95 = y. What is the units digit of g?
1
Suppose -16 = -0*h - 4*h. What is the tens digit of (-18)/(-15)*50/h?
1
Suppose 3*n + 123 = 6*n. What is the tens digit of n?
4
Suppose -25 = -5*g - 10. Let p be g/(-3) + 0 - -3. What is the units digit of (38/10 - p)*5?
9
Let r = -117 + 311. What is the hundreds digit of r?
1
Let v(n) = n**3 - 7*n**2 + 6*n + 3. What is the tens digit of v(7)?
4
Suppose -2 = 3*i + 4*v, 3*i + 2*i - 5*v - 20 = 0. What is the units digit of ((-1)/i)/(5/(-20))?
2
Let q = 546 - 290. What is the hundreds digit of q?
2
Suppose h = -h + 8, -3*h + 42 = 3*r. Let v = -1 + r. What is the units digit of v?
9
Let m(v) = -2*v + 2. Let b(x) = -x - 3. Let h be b(-5). Let p be m(h). Let y = p - -4. What is the units digit of y?
2
Let m(k) = -2 - 4*k**3 - 2*k**3 + 11*k**2 - 13*k**2. What is the tens digit of m(-2)?
3
Let f(v) = -2*v - 2. Let x be f(-3). Suppose 3*y - 11 = -x*p + 1, -5*p + 15 = -5*y. Suppose 4*c = -y*c + 24. What is the units digit of c?
6
Suppose -5*j + 5 = 3*v, -4*j + 2*v - 14 = -40. Suppose 0 = -j*l + 3*l + 6. What is the units digit of (l + -7)/((-2)/6)?
3
Suppose 3*s + 12 = 0, 3*c = -4*s + 38 + 144. What is the tens digit of c?
6
Suppose -2*i = 2*o - 56, 3*i - o - 73 = -9. What is the tens digit of i?
2
Let i = 5 + -6. What is the units digit of (75/6)/i*-2?
5
Let s(o) = -5*o + 10. Let n(l) = -4*l + 9. Let v(u) = 7*n(u) - 6*s(u). What is the units digit of v(7)?
7
Suppose -2*s = 0, 32 = -2*o + 3*o + s. What is the units digit of o?
2
Let g be ((-2)/(-4))/((-2)/(-8)). Suppose -g*u - 3*u + 35 = 0. What is the units digit of u?
7
Suppose 5*c = 6*c - 21. What is the tens digit of c?
2
What is the tens digit of (-6)/2 + (-2 - -57)?
5
Suppose 0 = w - 2*s + 17, 6*s + 43 = -3*w + 4*s. What is the units digit of (52/5)/((-6)/w)?
6
Suppose 2*n = -5*z + 11, 3*z + 31 = 5*n - 43. What is the units digit of n?
3
Suppose -6*v + 2*v - k = -429, 3*v = -k + 323. What is the hundreds digit of v?
1
Let p be (12/9)/(6/9). Suppose -29 = m - p*m. What is the units digit of m?
9
Suppose -3*p = p + 164. Let c = p - -93. Let o = c + -36. What is the units digit of o?
6
What is the units digit of -1 - -5 - (12 + -9)?
1
Suppose -4*y + 2*o = y - 115, 5*y + 2*o - 95 = 0. What is the tens digit of y?
2
Suppose -3*r + 5 = -4*o - 142, -3*r + o + 156 = 0. What is the units digit of r?
3
Let a(x) = 19*x**2 + 4*x + 3. Let i be a(-2). Suppose i + 129 = 5*d. Suppose 12 + d = 4*q. What is the tens digit of q?
1
What is the hundreds digit of (-9609)/(-33) - -5*(-6)/165?
2
Let x(m) = 2*m**3 - 5*m**2 + 3*m - 4. Let u(a) = -a. Let i be u(-3). What is the units digit of x(i)?
4
What is the units digit of 5/10*-1*-100?
0
Let z(u) = -u**3 - 9*u**2 + 10*u - 4. Let t be z(-10). Let k(h) = 0*h**2 - 4*h**2 + 2*h + 5*h**2 - 5. What is the units digit of k(t)?
3
Let k(t) = t**2 + 3*t + 11. What is the units digit of k(-2)?
9
Let c(q) = -q**2 - 14*q - 6. Let o be c(-10). Suppose 3*r - 4*r = -o. What is the tens digit of r?
3
Let a = -68 - -99. What is the units digit of a?
1
Let r = 219 + -142. What is the units digit of r?
7
Let p(y) = y**3 + 5*y**2 + 2*y - 6. What is the units digit of p(-3)?
6
Suppose -4*h + 8 = -3*a, -h = -4*h - a + 19. Suppose j - 3*o - 13 = 0, -j + 5*j = -h*o + 18. What is the units digit of j?
7
Suppose 3*x - 2*x = -5. Let d(t) = 5*t**3 - 12*t**2 + t - 6. Let h(a) = -a**3 + a**2 - a. Let j(i) = -d(i) - 6*h(i). What is the units digit of j(x)?
6
Suppose y - 13 - 3 = 0. Let n = y + -10. What is the units digit of (1 - (4 + -2)) + n?
5
Let l = 4 - 0. Suppose l*b - 54 = b. What is the units digit of b?
8
Suppose 0 = 2*c - 5*c. What is the units digit of 2 + 1 - c/(-3)?
3
What is the tens digit of -10*5*(-4 - -3 - 0)?
5
Let h(s) = 4 - s**2 - 1 - 7*s - 2. Let c be h(-6). Let w = 12 - c. What is the units digit of w?
5
Suppose -3*b + 5 = -2*b. Suppose -3*c + 3*d + 91 = -d, -b*c + 2*d + 133 = 0. What is the tens digit of c?
2
Let x be (-4)/10 + 88/20. Suppose 60 = x*w + q, 0 = -3*w - 0*w + 3*q + 30. What is the tens digit of w?
1
Suppose 11*v = 15*v - 68. What is the units digit of v?
7
Let u(h) = 6*h + 1. Let d be (2/6)/(1/(-3)). Let x be u(d). Let a = x - -14. What is the units digit of a?
9
Let k(b) = -b**2 - 2*b - 1. Suppose -3*i - 16 = -2*s, i + 18 = 2*i + 4*s. Let o be k(i). What is the units digit of (-2)/(-2) - (-1 + o)?
3
Let u = 88 - 47. What is the units digit of u?
1
Let l = 6 - 2. Suppose 0 = -0*w - l*w + 32. Let c = 13 - w. What is the units digit of c?
5
Suppose 2*i = -4*w - 2*i - 4, 5*i + 25 = 0. Let h = w - -9. What is the units digit of h?
3
Suppose 3*z = i - z - 16, 5*z = -2*i + 6. Suppose -18 = -2*t - i. What is the units digit of t?
5
Suppose -4*j = 3*p - 26 + 6, -5*p = 4*j - 28. Suppose 0 = -j*a + 5 + 1. What is the units digit of a?
3
Suppose -5*k + 7 = 2*t + 1, 3*k = 0. Suppose -5*q = t*g - g - 49, -3*g - 2*q = -46. What is the units digit of g?
2
Let a(s) = 4*s**2 - s - 5. Let v(q) = -3*q**2 + 4. Let p(t) = 4*a(t) + 5*v(t). What is the units digit of p(7)?
1
What is the units digit of 42/2*1 + 0?
1
Suppose 0*k + 7 = -5*i - 3*k, -5*i = -k - 9. Let m(g) be the second derivative of g**5/5 + g**4/12 - g**2/2 - 2*g. What is the units digit of m(i)?
4
Let f(i) = -36*i - 5. What is the tens digit of f(-2)?
6
Let a = -14 + 24. Let g = a + 13. Let c = g + -14. What is the units digit of c?
9
Suppose 0 = -h - 3, -3*h - 2*h = -4*b + 175. What is the tens digit of b?
4
Suppose -5*p + 4 = -16. Suppose p*y - 3*o = -0*o + 40, -2*y = -5*o - 34. Let f(g) = -g**2 + 8*g - 3. What is the units digit of f(y)?
4
Let k be (-2)/(-4) + 18/(-4). Let z be ((-6)/4)/((-11)/(-110)). What is the units digit of k - -5 - (z + 1)?
5
Let p(t) = 4 - t**3 + 4*t**2 - 7 + 4 - t. What is the units digit of p(3)?
7
Let c = 13 - 12. Suppose 5*d - 61 = -c. What is the tens digit of d?
1
Let i(t) = 8*t - 17. What is the units digit of i(6)?
1
Suppose t - 8 = 5*b, -b - 9 = -4*t - 4*b. Suppose -t*o + 4*m = -8*o + 16, 14 = 3*o - 2*m. What is the units digit of o?
4
Suppose -4*l + 5*z - 25 = -l, z + 41 = -4*l. Let m = 19 + l. Suppose 0 = -3*w - 3 + m. What is the units digit of w?
2
Let p(h) = h**2 - 2*h + 1. Let k = -1 - -3. Let t be p(k). What is the units digit of t/2 + 22/4?
6
Let s(w) be the third derivative of w**5/60 + 7*w**4/24 - w**3/3 + 3*w**2. What is the units digit of s(-8)?
6
Let t(n) = -n**3 + 2*n**2 + n + 1. Suppose 2*b - 20 = -2*b. Let q(y) = -2*y**3 + 3*y**2 + y + 3. Let u(g) = b*t(g) - 2*q(g). What is the tens digit of u(4)?
1
Let x be 3/(6/(-1))*-12. Let k(o) = o**2 - 7*o + 7. Let t be k(x). Let l = t + 0. What is the uni