 33. Let r = 0 + i. Suppose h + 2*h + 4*q = r, 2*q = 3*h - 27. What is the units digit of h?
1
Let w(b) = -b + 4. Suppose -3*z + 22 = 4*o, -o + 4 = -2*z + o. Suppose z*y - 4*y = 0. What is the units digit of w(y)?
4
Let j be -2 + 3*4/(-6). Let v = j - -5. What is the units digit of (-3)/(v/(6/(-2)))?
9
Let l(o) = -o**3 - 5*o**2 - 4*o + 2. Let m be l(-4). What is the tens digit of (2 + m)/(1/3)?
1
Let t = 127 + -91. Let z = -22 + t. What is the units digit of z?
4
Suppose 68*r - 1245 = 63*r. What is the tens digit of r?
4
Let t(z) = -4*z - 4. Let q = -9 + 3. What is the units digit of t(q)?
0
Suppose -7*w + 2*w + 45 = 0. What is the units digit of w?
9
Let b(f) = f**2 + 8*f + 10. What is the units digit of b(-7)?
3
Let s(m) = 22 - 10*m - 11 - m**2 - 5. What is the tens digit of s(-9)?
1
Let v(l) = l**3 + 4*l**2 - 5*l - 6. Let z be v(-5). Let f(t) = -t + 5. Let x be f(z). Let s = 18 - x. What is the units digit of s?
7
Let l(s) = s**3 + 8*s**2 - 10*s. Let h be l(-9). Suppose 8 = 3*g + 5*t - h, 0 = -g - 4*t + 8. What is the units digit of (-2)/g*-4 + 2?
4
Suppose -5*t - 4*t = -3078. What is the hundreds digit of t?
3
Let t(g) = -g**3 - g + 1. Let j(b) be the third derivative of -b**5/60 + b**4/6 - b**3/3 + b**2. Let p be j(4). What is the units digit of t(p)?
1
Suppose -6*c + c + 20 = 0, 0 = 2*m - 2*c - 8. Suppose 20 = 4*z - m. What is the units digit of z?
7
Let j = 56 - 28. What is the tens digit of j?
2
Suppose u - 749 = -6*u. What is the tens digit of u?
0
Suppose s + 5*s = 222. What is the tens digit of s?
3
Suppose 56 = 3*m + 2*k - 7*k, 0 = 2*m - 4*k - 38. What is the units digit of m?
7
Let r(w) = w**2 + w - 1. Suppose 3*b = -b. Let d be r(b). What is the units digit of (-1 + 2 - 2)/d?
1
Suppose -3*p - 12 = -4*i - i, -3*i + 5*p + 4 = 0. Suppose i*m - 2*m - 9 = 0. What is the units digit of m?
9
Let l(u) = u + 6. What is the units digit of l(2)?
8
Suppose -d + 3*d = 0. Let v = d - 2. What is the units digit of 3 - (-2 + (v - -2))?
5
Let h(z) = -5*z - 10. Let d(a) = -11*a - 20. Let q(m) = -2*d(m) + 5*h(m). What is the units digit of q(-4)?
2
Suppose -5*g + 6 = q - 0, 0 = 2*q - 2. Let i be 1/((g - 0)/2). Suppose -n = 5*v - i, -30 = -4*n + 2*v - 0. What is the units digit of n?
7
Let v be 2/8 - (-754)/(-8). Let h be (-10)/45 - v/18. Suppose 10 = l + d, 0*l + 4*d - 46 = -h*l. What is the units digit of l?
6
Let c = -44 - -98. What is the units digit of c?
4
Let k = -16 + 10. Let l(p) = p**2 + 6*p + 1. What is the units digit of l(k)?
1
Let r(j) = -j - 1. Let v be r(-4). Suppose 5*k = 3*h - 2, 0 = 2*k - v*h + 2 + 6. What is the units digit of k?
2
Let t be (-2)/(-6)*-8*-9. Let m = t - 9. What is the tens digit of m?
1
Suppose 2*u = 3*k + 7, 2*k + 2*u = -3*k + 15. Suppose -k = -4*f + 7. What is the units digit of f?
2
Let w(o) = 2*o**3 - 4*o**2 - 5*o + 3. What is the tens digit of w(4)?
4
Let t(c) = c**2 - 3*c - 2. Let j be t(5). Let p(f) = -f**3 - 9*f**2 - 10*f - 12. Let y be p(-8). Suppose -y = -4*g + j. What is the units digit of g?
3
Let l(a) be the second derivative of a**5/20 - a**4/3 + a**3/6 - a**2 + 3*a. What is the units digit of l(4)?
2
Let u(c) = -23*c**3 + 7*c**2 - 7. Let g(o) = 24*o**3 - 8*o**2 + 8. Let q(a) = -6*g(a) - 7*u(a). Let i be -1 - (-1*3 + 1). What is the units digit of q(i)?
7
Let b(j) = j**2 + 17*j - 36. What is the tens digit of b(-21)?
4
Let u = 7 + -4. Suppose 4*t + u = o, -o - 3*o - 3*t + 12 = 0. Suppose -7*m - k + 32 = -o*m, 2*m = -2*k + 22. What is the units digit of m?
7
Let f = 15 - 27. Let t = -7 - f. Suppose t*w = -50 + 155. What is the units digit of w?
1
Let h = 43 - 19. What is the tens digit of h?
2
Suppose -4*d - 2*r = -0*r - 6, 2*d - 4*r = -12. Let w(i) = 9*i - i + d - i**2 - 7. What is the units digit of w(5)?
8
Let s(u) = 4*u + 55. What is the units digit of s(8)?
7
Suppose -55 = -2*b + 53. What is the units digit of b?
4
Let p = 288 - 190. What is the units digit of p?
8
Let p(g) = -g + 10. Let j = -18 + 11. What is the units digit of p(j)?
7
Let b(l) = 2*l**2 + 9*l - 4. What is the units digit of b(-7)?
1
Suppose j + 3 = -4. Let a be 8/12 + j/(-3). What is the units digit of 34/a + (-3)/9?
1
Suppose 3*k + 0 = 6. Let i be (-2)/(-4) - 1/2. What is the units digit of (-2 - i)*(-1)/k?
1
Let z be (-1 + 3)/((-6)/(-69)). Suppose -5*o = -i + z, -2*i = -2*o + 3*o - 2. Suppose 5*a = -i*l + 21, -5*a = l - 7 - 0. What is the units digit of l?
7
Let i(v) = 18*v**3 + v**2 - v. Let f be i(1). What is the units digit of (f/3)/((-2)/(-4))?
2
Let t(c) = -c**2 + 2*c + 2. Suppose -4 - 4 = 4*r. Let z be t(r). Let f = -2 - z. What is the units digit of f?
4
Suppose 34 = 5*l - 26. Suppose 5*v - 3*v = l. What is the units digit of v/(-1)*1*-1?
6
Suppose a - 139 = 4*g + 4*a, 4*a = -g - 38. What is the units digit of 2*g/(-4) + -3?
4
Let o(l) = -6*l - 15. What is the tens digit of o(-8)?
3
Let r be 3/(3/1) - -1. Let d be (12/15)/((-4)/(-30)). Suppose 4*c - r*c = d. What is the units digit of c?
3
Let v(u) = -u**2 + 5*u - 1. Let a be v(5). Let l = a + 3. Suppose f + 3*s = -l*s - 12, 0 = -3*s - 9. What is the units digit of f?
3
Let b be (1/3)/(2/606). Let g be b/(-4) + 4/16. Let z = -15 - g. What is the units digit of z?
0
Let k = 12 - -26. Suppose 0*i - i = -5. Suppose 0 = 2*c + i*j - k, 14 - 2 = 3*j. What is the units digit of c?
9
Suppose -5*z + 46 = -9. What is the tens digit of z?
1
Suppose 0*u - h - 1036 = -4*u, -3*u + 770 = h. What is the hundreds digit of u?
2
Suppose 0*p = -d - 5*p + 27, 5*p = 25. Suppose 3*l = 4*u + 15, -d*u + l - 25 = -4*l. Suppose q = 3*n - 36 - u, 4*q - 48 = -4*n. What is the units digit of n?
2
Let t = -14 - -29. Suppose 0 = 3*x + 2*g - 10, -g - t = -3*x + 2*g. What is the units digit of x?
4
What is the units digit of (3 - -2 - 3) + 4?
6
Let l = -3 - -5. Suppose -l*m = -3*m + 1. What is the units digit of m?
1
Suppose 0*v + v - 25 = 0. What is the units digit of v - (-4)/4 - -2?
8
Let q be (0 + 6)*10/15. Let c = 15 + q. What is the units digit of c?
9
Suppose 3*t + 5*o = 212, -2*t - 5*o + 370 = 3*t. What is the units digit of t?
9
Let b(k) = k**2 + 1 + 5 - k + 3. What is the units digit of b(0)?
9
Suppose -6 + 1 = c - 4*p, 11 = c + 4*p. Suppose -i - 2*w - c = 0, 2 = i - 3*w - 5. What is the units digit of i?
1
Suppose -25 + 0 = 5*l. Let f = 0 + -4. Let o = f - l. What is the units digit of o?
1
Let g(b) = -b + 6. Suppose z = -2*z + 27. Let r be g(z). What is the units digit of (r/2)/(1/(-2))?
3
Let q(n) = 4*n + 9. What is the units digit of q(5)?
9
Let i be (2 - 0)/2 - -3. Suppose 6*a = i*a + 26. Let o = 25 - a. What is the tens digit of o?
1
Suppose -2*w = 2*w + 36. What is the tens digit of (-218)/w + (-4)/18?
2
What is the units digit of (-20)/(2/(-4)*1)?
0
Suppose 0*l + 6 = 2*l. Suppose 3*b + b - 158 = -2*x, 0 = l*b - 3*x - 96. What is the units digit of b?
7
Suppose 0 = -4*u - 5*s + 27 + 36, -5*u + 69 = 3*s. Let g = u + -5. Let f = g + 3. What is the units digit of f?
0
Let z(a) = -a**2 - 9*a - 2. Let t be z(-8). Suppose t*n = 4*n + 20. Suppose -10 - n = -4*d. What is the units digit of d?
5
Suppose -c + 12 = 5*d - 0*c, -6 = -3*c. Suppose -y + d = -2. Suppose -5*b + v = -40, y*b - b - 24 = -5*v. What is the units digit of b?
8
Let u(i) = -i**2 + 6*i + 10. Let w be u(7). Suppose -17 = -w*j + 37. What is the tens digit of j?
1
Let t(i) = i**3 - 2*i**2 - 9*i + 11. Let w = 10 - 5. What is the units digit of t(w)?
1
Let y(i) = i**2 + 5*i - 3. Let x be y(-6). Let p(o) = -2*o - 9. Let c be p(-5). Suppose -4*z - 29 = -3*a, x*z - c = 2. What is the tens digit of a?
1
Let a = -1 - -6. Suppose 5 = a*x - 0*x. What is the units digit of x?
1
Suppose u - 626 = 3*d, -5*d - 597 = 3*u + 465. Let s = -1 + -4. What is the units digit of 2/s + d/(-25)?
8
Let b(q) = q**2 + 2*q - 5. Let u be b(-4). Let a be (0/2)/u - -5. Suppose 4*n = -3*d + 2*d + 16, 20 = -a*d. What is the units digit of n?
5
Let w = 1 + -3. Let v be w/8 - 15/(-12). Let b(r) = 5*r + 1. What is the units digit of b(v)?
6
Let r be -1 + (-1 - 0) + 5. Let h(m) = -1 + r*m + 7*m**2 - m + 0*m. What is the units digit of h(1)?
8
Suppose z + 2*d + 5 = 0, 5*z + 2*d = -1 - 0. What is the units digit of 3 - (-2 + 2)/z?
3
Let q = -9 - -12. Suppose -2*z + 0 = -4*f + 6, 4*f = 4*z + 4. What is the units digit of (q/9)/(z/3)?
1
Let q be 2/(-10) - (-184)/20.