 -8*s + 30. What is the units digit of s?
1
Suppose 6 = 4*g - 18. Suppose -11 = -4*w - 3*y, -w - g = -2*w - 4*y. What is the units digit of w?
2
Suppose 2*i + i = 2*z + 57, 2*i = 4*z + 38. What is the tens digit of i?
1
Let u = -1 - -4. What is the tens digit of ((-20)/u)/(8/(-12))?
1
Suppose -36 = 5*d + 3*c - 1214, -2*c = 2*d - 468. What is the hundreds digit of d?
2
Let q be 1 - 6/1 - -1. Let u be 2/q + (-2)/4. What is the units digit of 4 + u - (-2)/2?
4
Let a be (1 + 2)*(-12)/9. Let k(c) = -c. Let j be k(a). What is the tens digit of 15 + 3/(6/j)?
1
Suppose -12 = 6*u - 10*u. Suppose u*b = -3*w + 78, b - 2*b = -2*w + 40. What is the units digit of w?
2
Let i(u) = u**2 - u - 1. Let v(o) = o**2 - 7*o + 5. Let s be v(7). Suppose 15 = 4*h - j, -h - 3*j - 1 = s. What is the units digit of i(h)?
5
Let w be (24/15 - 1)*5. Suppose -26 + 11 = -w*d. Suppose 0 = -4*c - 2*r - 4, r + r + d = -3*c. What is the units digit of c?
1
Let c = 5 - 8. Let p(m) = -4*m - 4. What is the units digit of p(c)?
8
Suppose 0 = -b + 2 - 0. Let h = b - -1. Let f = h - -7. What is the units digit of f?
0
What is the hundreds digit of (176/6)/(20/90)?
1
Let g(s) = -s**3 - 4*s**2 + 4*s - 6. Let w be g(-5). What is the units digit of -2 - (-9 + (w - -2))?
6
Suppose d + 24 = 2*d. Suppose -40 = -2*q + d. What is the units digit of q?
2
Let t be 3/3 - (-1 + 0). Suppose 3*g = 10 + t. What is the units digit of g?
4
Let i(c) be the third derivative of 0*c + 0 - c**2 + 1/30*c**5 + 0*c**4 + 0*c**3. What is the units digit of i(-1)?
2
Let b = -3 + 79. What is the tens digit of b?
7
Suppose 7*b - 957 = -4*b. What is the units digit of b?
7
Suppose 0 = g + 4*x - 73 - 181, 5*x + 299 = g. What is the hundreds digit of g?
2
Let r(q) = q + 20. What is the units digit of r(-10)?
0
Let i = 3 + 1. Suppose -i*j - 258 = -j. What is the units digit of j/(-18) + (-6)/(-27)?
5
Suppose 4*s = 4*x + 68, -3*x = -6*x - 5*s - 19. Let a = x - -18. What is the units digit of a?
5
Suppose 13*u - 11*u + 42 = 0. What is the tens digit of (-707)/u - 2/3?
3
Suppose 2*d = -0 + 36. What is the tens digit of d?
1
What is the units digit of (4/5)/((-6)/(-45))?
6
Suppose 6*z - 40 = -3*u + z, 2*z = 5*u - 15. Let a = -6 + u. What is the units digit of a + (-2 - (1 + -6))?
2
Let v be (-2 + (-23 - -2))*-1. Suppose -3*f + 19 + v = 0. What is the units digit of f?
4
Suppose 0 = 4*v + 9 + 3. Let r = v - -5. Suppose 8 = y - 3*b - b, -3 = -r*y - 5*b. What is the units digit of y?
4
Let a(l) be the first derivative of 7*l**4/12 - l**3/3 - l**2/2 - 2*l - 1. Let r(h) be the first derivative of a(h). What is the units digit of r(-1)?
8
Let y(s) be the second derivative of -s**4/24 + 11*s**3/6 + 3*s**2/2 + 3*s. Let m(w) be the first derivative of y(w). What is the tens digit of m(0)?
1
Suppose 12 = 5*j - j. Suppose 5*n - 3*d + 7 = -d, -j*n + d - 5 = 0. Let g(f) = -f**3 - 4*f**2 - 4*f + 1. What is the units digit of g(n)?
4
Suppose 3*p = 4*g - 4, 3*g - 2*p - 12 = -2*g. Suppose -3*m + g*m = 14. What is the tens digit of m?
1
Suppose -j + 4*j - 3 = 0. Let c(s) = s**3 - 4*s**2 - 3*s - 7. Let k be c(5). Let m = k - j. What is the units digit of m?
2
Let y be (-1 + 2)*(-15 + 8). Suppose 5*s + 0*s + 70 = 0. Let o = y - s. What is the units digit of o?
7
Let y be (-123)/(-4) + (-21)/28. Suppose 4*p = -20, 0*m = 5*m - 4*p - y. What is the units digit of m?
2
Let i(n) = 3*n**3 - 47*n**2 + 42*n - 35. Let y(o) = -2*o**3 + 31*o**2 - 28*o + 23. Let d(l) = -5*i(l) - 8*y(l). What is the units digit of d(12)?
5
Suppose -2*m = 12 - 48. Let c be (-490)/(-18) - 4/m. What is the units digit of (-399)/(-27) - (-6)/c?
5
Let z = 4 + -4. Let y(m) = -2 - 2*m + z*m + 4*m. What is the units digit of y(4)?
6
Let r(x) = -3*x**2 - 14*x + 3*x**2 - x**2 - 1 - 13. What is the tens digit of r(-10)?
2
What is the hundreds digit of 1317/6 - (-2)/(-4)?
2
Suppose -5*b + 123 = -3*p, -b + 6 = 2*p - 16. Let s be (b/3)/(1/(-28)). What is the tens digit of ((-3)/(-2))/((-24)/s)?
1
Suppose -4*v + 4 = -2*l + 2, 4*v = -4*l + 20. Suppose 5 = -v*s - 19. What is the units digit of 30/8 - 3/s?
4
Let c = 11 - 7. Suppose 0 = -3*a + 2*a + c. Suppose 0 = 4*s - a - 4. What is the units digit of s?
2
What is the tens digit of 6/(-9) - -1 - 7880/(-30)?
6
Let w(x) = x**3 + 6*x**2 - x - 1. Let a be w(-6). Suppose 2*n = -5*k + 15, -2*k + a*n = 3*k - 50. Suppose -4*g + 17 - k = 0. What is the units digit of g?
3
Suppose -4*i + 2*m + 8 = 0, -5*m = 4*i - 4*m - 8. Suppose -i*w = -0*w + 34. Let l = -8 - w. What is the units digit of l?
9
Let d = 9 - -22. Let t = 51 - d. Let n = t + -12. What is the units digit of n?
8
Let z = 5 + -3. Suppose -4*d = z*c - 26, -d + 0*c + 9 = c. Suppose 3*s - 3*w + 6*w = -9, -s + 17 = -d*w. What is the units digit of s?
1
Suppose -4*j = j - 20. Suppose -j*c = -y - 6*c - 6, 3*c = -3*y - 3. What is the units digit of y?
4
Suppose 5*u = -75 + 355. What is the units digit of u?
6
Let o(y) = -5*y**2 + 5 + 4*y**2 - 1 + 1 + 8*y. What is the tens digit of o(6)?
1
Let g = 0 - 0. Suppose g = -4*l - 4*j - 12, -5*j - 15 = -4*l + 2*l. What is the units digit of 1 - -3*(l + 1)?
4
Suppose 0 = 2*d - 4*d + 28. Suppose -2*b = -3*q - 31, -3*q - 14 - 21 = -4*b. What is the tens digit of (q/(-3))/(3/d)?
1
Let w be -2 + -1 - (2 - 1). Suppose -6*c + 27 = -9*c. Let n = w - c. What is the units digit of n?
5
Let t = 25 + -20. Suppose 165 = t*i + 10. What is the tens digit of i?
3
Suppose -3*n - 9 + 0 = 0. Let h be 9 + (n - 0) + -2. Suppose -h*l - 2*b + 75 = -7*b, 0 = 5*l + b - 72. What is the tens digit of l?
1
Let g = 2 + 1. Suppose f - 2 = g*f. What is the units digit of 1*(1 + f - -2)?
2
Suppose 9*d - 4 = 5*d. Let j be (-14)/7*(d + 2). Let m = j - -9. What is the units digit of m?
3
Let d be (-1)/((2 + -4)/38). Suppose -a + 19 = -d. What is the units digit of a/6 + (-2)/(-3)?
7
Suppose -1 = k - 0*k - 2*n, k - 8 = -n. Suppose 5*j - b - 9 - 16 = 0, 4*j = -k*b + 49. What is the units digit of j?
6
Let j(g) be the first derivative of g + g**3 - 1/4*g**4 - 2 - 1/2*g**2. What is the units digit of j(2)?
3
Let t = 16 - 10. What is the units digit of t?
6
Let k = -8 - -14. What is the tens digit of (54/8)/(k/16)?
1
Let h = 23 + -21. Suppose 2*r - r = h. What is the units digit of r?
2
Let p(o) = o**3 + 10*o**2 + 11*o - 13. What is the units digit of p(-6)?
5
Let k = -75 - -271. What is the hundreds digit of k?
1
Let r(s) = s + 2. Let c be r(2). Let g be (6/(-4))/(6/(-16)). Suppose 32 - c = g*a. What is the units digit of a?
7
Let q(v) = v**2 - 30. What is the tens digit of q(16)?
2
Suppose -8 = -3*f - f. Suppose -3*x - f*w - 3*w = -7, -3*w - 19 = -4*x. Suppose -x - 3 = -s. What is the units digit of s?
7
Suppose 5*i - 8 = 4*i. Let x = i + -7. What is the units digit of x?
1
Let x = 105 - 77. What is the tens digit of x?
2
Let r = -1 + -2. Let m = -5 - r. Let l = 5 - m. What is the units digit of l?
7
Suppose -4*i + 93 - 28 = -5*d, 0 = -2*i + 3*d + 31. What is the tens digit of i?
2
Let z be 2/9 + (-48)/(-27). Suppose -z*r - 4 = 2*o, 7*o - 2*o = -3*r - 8. Let w = r - -4. What is the units digit of w?
3
Let b(c) = 4*c**2 + 4*c - 15. What is the units digit of b(6)?
3
Let p(z) = z**2 - 2*z - 3. What is the units digit of p(-5)?
2
Let d(p) = -5*p + 0*p**3 - 5*p - 9*p**2 + p**3 + 2. Let x be d(10). Let s(t) = 4*t + 1. What is the units digit of s(x)?
9
Let b = 8 + -3. Let v be ((-1)/(-3))/(b/75). Let c = v + 0. What is the units digit of c?
5
Let w be (-4 + 5 - 1)/(-2). Let l(b) = -b + 35. What is the units digit of l(w)?
5
Let x = -100 - -52. What is the tens digit of (-30)/(-4)*x/(-9)?
4
Suppose 3*q - 135 = -2*x + x, -4*q + 5*x + 180 = 0. What is the units digit of q?
5
Let r(a) = -85*a + 31. What is the units digit of r(-2)?
1
Suppose -5*t + 148 = s, -s = -2*t - 50 - 119. What is the hundreds digit of s?
1
Let b(l) = l**3 - l**2 + l + 3. Let h be b(0). Suppose -h*m = x - 33, -39 = -2*m - 2*x + 7*x. What is the units digit of m?
2
Let k(r) = 11. Let g(z) = z. Let h(n) = -g(n) + k(n). What is the units digit of h(5)?
6
Let z = 3 - 6. Let h(m) = m**3 + 2*m**2 - 2*m + 3. Let n be h(z). Suppose -u = -n*u - 16. What is the units digit of u?
6
Let g(m) = -m**3 - 5*m**2 - 4*m + 4. Suppose 2*b = f - 4 + 2, 5*f + 2*b = -26. What is the units digit of g(f)?
4
Suppose -3*b - 158 = -245. What is the un