- z**3/6 + 13*z**2/2 + 2*z. Let p be w(0). Let r = p - 6. What is the units digit of r?
7
Let o be 382/8 - 2/(-8). Suppose -2*c = 4*v - o, -2*c - c = 2*v - 16. What is the units digit of v/(2 - 0/2)?
7
Suppose 147 = 3*x - u, -u = -x - 0*u + 49. What is the units digit of x?
9
Let k(l) = 40*l - 2. Suppose 0 = 3*z + z - 4. What is the units digit of k(z)?
8
Let p(s) = s**3 - 8*s**2 - 4*s + 11. Let a be p(8). Suppose -1 = -2*o - 23. Let h = o - a. What is the tens digit of h?
1
Let d be 820/36 - (-2)/9. Suppose 0 = 5*t - d + 3. Suppose -i = -2*v - 3*i, 2*i + 18 = t*v. What is the units digit of v?
3
Let n be -4 + (-1 - -3) + 54. Suppose -3*c + 14 = -1. Suppose 9 = 3*s, -n = -c*j - 4*s + 15. What is the tens digit of j?
1
Let o = 72 + -59. Suppose 0*a = a + 9. Let b = a + o. What is the units digit of b?
4
Let b(r) = -r**3 + r. Let n be b(0). Suppose n = -2*k + 4*k - 54. What is the tens digit of k?
2
Let f(o) = 51*o. What is the hundreds digit of f(2)?
1
Let i = 3 + -3. Suppose i = -2*k + 8, 2*n = -n - 4*k + 31. What is the units digit of n?
5
What is the units digit of (-8)/12 - ((-694)/6 + -1)?
6
Let l(y) = 8*y. Suppose 0 = 2*t - 3*t + 2. Let p be t/(-4)*2 - -2. What is the units digit of l(p)?
8
Let g = 8 - 6. Suppose -g*q - 12 = -3*q - 3*f, 2*f = 8. Let w = 6 - q. What is the units digit of w?
6
Suppose -5*k - 19 = -39. Suppose 65 = -3*m + 176. Suppose -m + 13 = -k*p. What is the units digit of p?
6
Let k(l) = l**3 - 8*l**2 + 3*l + 10. What is the tens digit of k(9)?
1
Suppose 3*r = -0*r - 45. Let t = -8 - r. What is the units digit of t?
7
Let k = -23 - -35. Suppose l - k = -3*l. What is the units digit of l?
3
Suppose 2 = 2*o - 6. Let v(m) = -m - 6. Let n be v(-8). Suppose -n*p - o = -l - 5, -24 = -3*p - 3*l. What is the units digit of p?
3
Let s = -27 - -70. What is the tens digit of s?
4
Let h(w) be the first derivative of w**5/120 + w**4/12 - 2*w**3/3 + 1. Let t(p) be the third derivative of h(p). What is the units digit of t(7)?
9
Let d be 1/3 - (-49)/(-3). Let o = 0 - d. What is the tens digit of o?
1
What is the tens digit of (-8130)/(-35) + (-2)/7?
3
Suppose 3*r + 0*r = 0. Suppose -w + 10 = 2*w - f, r = -w - f - 2. Suppose w*k - t = 29, 4*k - 53 = -2*t - 15. What is the units digit of k?
2
Let i(b) = -2*b + 2. Let n be i(-3). Let y = 22 - n. What is the units digit of y?
4
Let c = 8 - 14. Let a(z) = -z**2 - 7*z + 1. What is the units digit of a(c)?
7
Let d(u) be the first derivative of 2*u**2 - 17*u - 10. What is the units digit of d(12)?
1
Let h be ((-6)/4)/(12/(-32)). Suppose 3*v = -6, h*v + 28 = 5*y - 20. Suppose 33 = 2*l - c, y*c + 68 = 4*l + 4*c. What is the tens digit of l?
1
Let n(v) = v**2 + 2*v + 2. Let f be n(-4). Suppose 3*w - 5*l - 16 + 7 = 0, 2*l = 0. Suppose 2*x = w*x - f. What is the tens digit of x?
1
Let z(c) = c**3 - 13*c**2 + c + 10. What is the units digit of z(13)?
3
Let r(s) = -3*s**2. Let v be r(1). Let y(c) = -c + 2. Let i be y(v). Suppose 21 = i*a - 9. What is the units digit of a?
6
Suppose -6 = y - 4*y. Suppose 0 = -4*w + 4*r + 60, -4*w - y*r = -0*r - 48. What is the tens digit of w?
1
Let g(i) = 3*i**2 - i**2 - 3*i - 2 - i**2. Let p be g(5). Let s = p - 5. What is the units digit of s?
3
Suppose -4*f = -f + 24. Let u = 13 + f. Suppose -p = -2*p + u. What is the units digit of p?
5
Let f(b) = 3*b. Let a be f(1). Suppose -105 = -2*s - 25. Suppose 2*h - 40 = -a*h + 4*n, n + s = 5*h. What is the units digit of h?
8
Let x = -5 - -19. Let u be 2/(-8) - 5/(-4). Let a = x + u. What is the tens digit of a?
1
Let k(y) = y**2 + 4*y + 3. Let q be k(-4). Let d be (35/q)/(1/(-6)). Let r = -49 - d. What is the units digit of r?
1
Suppose 5*n - 844 = 186. What is the hundreds digit of n?
2
Suppose -435 = -6*j + 345. What is the hundreds digit of j?
1
Let p be (12/15)/(3/(-15)). Let w be (p/8)/(1/(-10)). Suppose -11 = -d + 4*u, -4*d + u = -w - 9. What is the units digit of d?
3
Let t = 295 + -148. What is the hundreds digit of t?
1
Suppose 0*i - 4*i + 100 = 0. What is the tens digit of i?
2
Let i(j) = j + 4. Let v be i(-3). Suppose -p = v - 15. Let z = 25 - p. What is the tens digit of z?
1
Let y be ((-1)/1)/(2/(-8)). Suppose -5*g + 89 = y. Suppose 3*u + g = 2*k + 4, 0 = k + 5*u - 13. What is the units digit of k?
8
Suppose 2*q = -o + 21, -3*q = -6*q + 3*o + 18. Suppose -3*j = q - 45. What is the units digit of j?
2
Let u(g) = -g**2 + 6*g + 3. Let p = 4 - -2. What is the units digit of u(p)?
3
Let w = 232 - 139. Suppose 3*j - w - 12 = 0. Suppose j = l + 4*l. What is the units digit of l?
7
Let j(u) be the third derivative of u**5/60 - u**4/12 - u**3/2 - 3*u**2. What is the units digit of j(4)?
5
Suppose d - 36 = -i, 0*i + 4*d = 2*i - 72. What is the units digit of i?
6
Let d = 24 - 15. Let i = d + 6. What is the tens digit of i?
1
Suppose 0 = 4*g + 5*s - 507, 3*g - 17 - 392 = 2*s. What is the hundreds digit of g?
1
Let t be (-159)/(-15) + 3/(-5). Suppose 5*b = -0*d - 5*d - t, -2*b + 5 = 5*d. Suppose -5*f = 3*n - 2*f - 21, -2*f + 21 = d*n. What is the units digit of n?
7
What is the units digit of -3 - 1 - (-12)/2?
2
Let q(w) = 7*w**2 + 6*w + 1. What is the units digit of q(-4)?
9
Let c(b) = 2*b**2 + 2*b + 1. Suppose -y = 3*y + 8. What is the units digit of c(y)?
5
Let a = 57 - 19. Let f = 61 - a. What is the units digit of f?
3
Let m = 1 - -2. What is the units digit of m/3*3*2?
6
Let q(k) = -11*k + 10. Let b be q(-5). Let d = -33 + b. What is the tens digit of d?
3
Let h(z) = 1 + 1 - z - 1. What is the units digit of h(-4)?
5
What is the tens digit of ((-32)/3)/1*-3?
3
Let j = 18 - 18. Suppose m - 16 + 4 = j. What is the units digit of m?
2
Let c(r) = -10*r - 3. Suppose 15 + 0 = -5*o. Let f be c(o). Suppose 3*q = b - 5*b + f, 3*b = -2*q + 19. What is the units digit of q?
5
Let p(s) be the first derivative of -s**3 - s**2/2 - s - 2. Let m(j) = j**2. Let c(z) = 5*m(z) + p(z). What is the units digit of c(2)?
5
Suppose -u + 57 = o - 5*u, -2*u = -3*o + 171. Suppose 0 = 4*d + q - o + 6, q = 2*d - 33. What is the units digit of d?
4
Let y = 165 - 94. What is the units digit of y?
1
Suppose -2*a + 8 = n, -4*n + 5*a - 4 - 3 = 0. Suppose -h + n*b + 16 = h, 2*h = -b + 1. Suppose -5*m + 14 = -h*m. What is the units digit of m?
7
Suppose -5*p = 5*r - 50, 4*r - 2*r + 10 = 3*p. Let k = 6 + p. Suppose 3*t = 33 + k. What is the units digit of t?
5
Let g be 6 + -4 + 340/4. Suppose 2*y + b - g = 10, -y = -2*b - 51. What is the tens digit of y?
4
Suppose m + 2*z = 0, 4*m - 6 = -2*z + 6. Let o = -2 + m. Suppose 0 = -4*k + 4*a + 44, 6*k - 38 = o*k + 2*a. What is the units digit of k?
8
What is the units digit of ((-24)/16)/((-6)/32)?
8
Suppose -4*f + 3*f - 1456 = 0. What is the tens digit of (-4)/18 + f/(-72)?
2
Let y be 7/2*(-4 - -2). Let a = y + 11. What is the units digit of a?
4
Let o = 81 + -42. Suppose 2*b + 17 = -33. Let v = b + o. What is the units digit of v?
4
Let v(f) = 7 - 2*f**3 - 4 - 7*f**2 + 3*f**3. Let o be v(7). Suppose 5*l = -o*x + 44, 4*l + 3 = 5*x + 16. What is the units digit of l?
7
Suppose 2*h + 0 = 2*j + 2, 3 = h - 3*j. Suppose h = 2*k - 5*k + 21. What is the units digit of k?
7
Suppose -x - 20 = 4*t + x, 3*t = -x - 13. Let f(k) = -k**2 + 2*k + 4. Let d be f(t). Let o = -6 - d. What is the units digit of o?
5
Suppose -v + 5 + 1 = 0. Suppose -c + 10 = -2*h, -v*c + c - h = -28. Let w = -2 + c. What is the units digit of w?
4
Let m = -165 - -263. What is the tens digit of m?
9
Let j(s) = s**3 - 8*s**2 + 13*s - 3. Let w be j(6). Suppose 145 = 2*r + w*r. What is the tens digit of r?
2
Let b(p) = -18*p - 28. What is the units digit of b(-7)?
8
Suppose -899 - 179 = -11*m. What is the units digit of m?
8
Suppose 4*m + 4*q - 5 = 3*m, -2*m + 2*q = 0. Let j = m - 1. Suppose j = l + 4*l - 20. What is the units digit of l?
4
Let p = 6 + -7. Let q be p*(3 - -5 - 0). What is the units digit of (33/12)/((-1)/q)?
2
Let f = -7 - -8. Suppose -3 - f = -m. What is the units digit of m?
4
Let y be 1/(-4) + 72/32. Suppose 2*k + 30 = 3*u - k, u + 2*k = 1. Suppose u = z - y. What is the units digit of z?
9
Let c(n) = 2*n**3 + 2*n**2 + n. Let g be c(-2). Let q be (-56)/g + (-2)/(-5). Suppose v - 1 = q. What is the units digit of v?
7
Let j = -98 - -197. Suppose -3*x = 3*m - j, 5*x - 5*m + 14 = 139. What is the units digit of x?
9
Suppose 