- b. Suppose x - 8 = -x, -a*x = -5*k + 18. What is the units digit of k?
6
Suppose -2*z + 3*v = v + 26, -3*v - 21 = 2*z. Let j = z + 23. What is the tens digit of j?
1
Let w = -11 + 54. What is the tens digit of w?
4
Suppose 18 = l + 2*l - 2*x, -2*l + 3*x = -7. What is the units digit of 60/16 - (-2)/l?
4
Let c = 9 - -24. What is the tens digit of c?
3
Let r(f) = f - 11*f**2 - 4 + f**3 - 2*f - 1 + 12*f. Suppose -l = 0, -o - 3*l + 4*l = -10. What is the units digit of r(o)?
5
Let i(u) = 10*u - 1. Let a be i(1). Let b = 15 - a. What is the units digit of b?
6
Let b(t) = 14*t**3 - 5*t**2 + 3*t - 3. What is the units digit of b(2)?
5
Suppose 3*q = 8*q. Suppose a - 5*v - 62 = q, -a + 6*a - 226 = -3*v. What is the units digit of a?
7
What is the tens digit of 68/(-10)*((-7 - 0) + -28)?
3
Let n(g) = g**3 + 3*g**2 - 2*g + 3. Let z(p) = -3*p - 1. Let x be z(-1). Let m be n(x). Let t = m + -11. What is the units digit of t?
8
Let i = -5 + 52. Suppose 3*h - 6 = 3*m - 57, 0 = 3*m - 4*h - i. What is the tens digit of m?
2
What is the hundreds digit of 4 - (-1 - 177)*1?
1
Suppose -3*x = x - 5*t - 253, -3*x + 181 = 5*t. What is the tens digit of x?
6
Suppose -48*n - 616 = -56*n. What is the tens digit of n?
7
Let x(u) = u**3 + 9*u**2 + 3. Let a be x(-9). Suppose 44 - 8 = a*t. What is the units digit of t?
2
Let b be ((-4)/2)/(4/12). Suppose 4*p + 17 - 1 = 0. Let m = p - b. What is the units digit of m?
2
Suppose h = 3*h - 42. Let y be (-2 - 7)*(-4)/12. Suppose 6 = -y*k + h. What is the units digit of k?
5
Suppose -2*b + o = 3*b - 155, 93 = 3*b + 4*o. What is the units digit of b?
1
Suppose a = -1 + 3. Suppose -2*p - z = -45, a*p + z = 5*z + 50. What is the tens digit of p?
2
Let s(t) = -t + 4. Let n be s(3). Let d = n - -2. What is the units digit of d?
3
Suppose 0 = 2*z + 4*m - 120, -z + 4*m + 12 = -30. What is the tens digit of z?
5
Suppose -s = 2*s. Suppose -3*f = -s - 9. What is the units digit of (-3 - -3) + (f - -1)?
4
Suppose -8 + 2 = 3*z, 5*z + 254 = 4*l. What is the units digit of l?
1
Let c(w) = -w + 1. Suppose 3*q - 5 = -5*k, -5*k + 0*k + 4*q = 30. Let l be c(k). Suppose -l*r + g - 3*g = -43, r + 2*g = 21. What is the tens digit of r?
1
Suppose -5*h + 1895 = -2*x, -4*x - 180 = 3*h - 1343. What is the hundreds digit of h?
3
Let l = 29 - -4. What is the units digit of (-13)/(-11) + (-6)/l?
1
Let u = -111 + 191. Suppose 3*s + q - 6*q = 86, -3*s - q + u = 0. What is the tens digit of s?
2
Let w(x) = x**2 - 15*x + 47. What is the hundreds digit of w(24)?
2
Let o(u) = 2*u**3 + u**2. Let w be o(-1). What is the tens digit of 7 - (-2 - w)*3?
1
Let v = 326 - 99. What is the hundreds digit of v?
2
Suppose -8 = -2*q, 8*y + 273 = 9*y + 5*q. What is the tens digit of y?
5
Suppose 3*y - 15 - 72 = 0. What is the units digit of y?
9
Suppose -4*p = 6*c - c - 244, -3*p - 12 = 0. What is the tens digit of c?
5
Let s = 47 + -41. What is the units digit of s?
6
Let n be 6 + -1 - (1 - 2). Let t(v) = v**3 - 6*v**2 + 5. Let x be t(n). Suppose -55 = -x*l - 3*g, 0*g + 41 = 2*l + 5*g. What is the units digit of l?
8
Let u = 2 + 0. Let h(d) = 5*d**3 - d**2 - 2*d + 3. Let z be h(u). What is the units digit of 2/8 + z/4?
9
Suppose 4*i = i + 357. What is the tens digit of (-1740)/(-51) - 14/i?
3
Let u be -3 - -2 - (-9)/3. What is the units digit of u/3*(0 - -6)?
4
Let f(m) = -m**3 - 4*m**2 - 4*m - 1. Let v be f(-3). Suppose v + 14 = w. What is the units digit of w?
6
Let s(i) = i**2 - 1. What is the units digit of s(-7)?
8
Let u(y) = -2*y - 1. Let q be -2*1 - 6/(-3). Let z = -2 - q. What is the units digit of u(z)?
3
Let y be (3 - 70)/(1*-1). Suppose 0 = -c + 3*c - 3*o - y, 5*c - 190 = 3*o. What is the tens digit of c?
4
Suppose -5 = -5*h - s, -3*h + 0*h + s = -11. Suppose -3*m - 14 = -56. Let o = m - h. What is the tens digit of o?
1
Let r(p) = p - 3. Let n be r(5). What is the units digit of n/7 - 40/(-7)?
6
Let a(z) = 3*z**2 - 3*z + 2. Let n(i) = -7*i**2 + 6*i - 3. Let t(b) = -5*a(b) - 2*n(b). Let m be t(3). What is the tens digit of (-22)/m*(2 - 0)?
1
Let t(g) = -50*g + 17. Let c(v) = 17*v - 6. Let i(h) = 17*c(h) + 6*t(h). What is the units digit of i(-1)?
1
What is the tens digit of 25 + -1 + (-3)/(-3)?
2
Let z = 2 + -6. Let f be 3/(-12) + 19/z. Let w = f + 8. What is the units digit of w?
3
Suppose 2*h + 5*o - 277 = 0, 5*h + 4*o - 661 = 2*o. What is the hundreds digit of h?
1
Suppose 22 = 4*v - 150. What is the units digit of v?
3
Let w(m) = m + 6. Let d be w(-4). Suppose g + 5*o - 14 = 0, o = -2*g - 2*o + 7. What is the units digit of (-7 + g)*d/(-4)?
4
Let v be ((-12)/(-14))/((-1)/(-7)). Suppose -2*m - 25 = -5*g, 4 = 2*g + m - v. What is the units digit of g?
5
Suppose 0 = -c - 5 - 17. Let r = 36 + c. What is the tens digit of r?
1
Suppose -1212 = -4*m - 3*g, -4*m + 636 = -5*g - 544. What is the hundreds digit of m?
3
Let d = 188 - 99. What is the units digit of d?
9
Suppose -13*w = -6*w - 581. What is the tens digit of w?
8
Let m = -1 + 1. Suppose 2*p + 33 = f, 5*f + p - 4*p - 130 = m. What is the units digit of f?
3
What is the units digit of (-3 - -149)/(-6 - -8)?
3
Suppose -14 = k - 3*z, k + z + 5 + 1 = 0. What is the tens digit of (k/2)/((-1)/3)?
1
Let o = 106 + -44. Let x be (-1)/3 + o/6. What is the units digit of (12/x)/(4/10)?
3
Let s(u) = u**2 - 9*u + 6. Suppose 5*k - 3*q = 65, 0 = 4*k + 2*q - 13 - 17. What is the tens digit of s(k)?
1
Let n(p) = p**3 + 5*p**2 + 2*p - 3. Let r be n(-3). Suppose 3 + r = t. Let o = t - 1. What is the units digit of o?
1
Let u = -47 + 136. What is the units digit of u?
9
Suppose 6*n - 2*n - 24 = 0. Suppose -16 = -6*r + 2. Let v = r + n. What is the units digit of v?
9
Let z(b) = 3*b**2 + 10. What is the units digit of z(-4)?
8
What is the units digit of 200/75*(-78)/(-8)?
6
Let f = 55 + -11. What is the tens digit of f?
4
Let n = -11 - 38. What is the units digit of (-61)/(-7) + (-14)/n?
9
Let s be 2 + -22*(-1 - 0). Suppose -x = x - s. What is the units digit of x?
2
Let r(q) = -20*q - 26. Let u(z) = 7*z + 9. Let w(j) = 6*r(j) + 17*u(j). Let o be w(-3). Suppose o*y = 2*y - 24. What is the tens digit of y?
1
Let q = -29 - -70. What is the units digit of q?
1
Let m = -149 - -224. What is the tens digit of m?
7
Suppose 6*o = o + 85. What is the units digit of o?
7
Let i = -10 + 18. Let a = 22 - i. What is the tens digit of a?
1
Suppose 5*q = -4*w + 407, 2*w - 211 = -2*q + 7*q. What is the hundreds digit of w?
1
What is the tens digit of 20 - 2 - (2 - 3)?
1
Let n = -8 - -5. Let o(g) = 3*g**2 + 1. What is the tens digit of o(n)?
2
Suppose 8 - 23 = -3*q - 3*z, -5*z + 19 = -q. Suppose 3*c + 40 = -c. What is the units digit of ((-1)/q)/(2/c)?
5
Let f be 1/((-1)/(-3 - 0)). What is the units digit of 21/14*2/f?
1
Suppose -580 = -34*t + 29*t. What is the hundreds digit of t?
1
Let u = -19 + 13. What is the units digit of (u/4)/(39/(-806))?
1
Let x(t) = 2*t - 6. Let s be x(4). Suppose -3*m = -4*a - 36, -m + a = -s*m + 12. What is the units digit of (-5)/((-45)/m)*6?
8
Suppose -42 = -6*m + 30. Suppose 0 = -2*w + 82 - m. What is the units digit of w?
5
Let v = -9 + 14. Suppose 0*o + 2*o - 23 = -v*h, o - 1 = h. What is the units digit of o?
4
Let w = 3 + 17. What is the tens digit of w?
2
Let o(d) = d**3 + 8*d**2 + 7*d + 24. What is the units digit of o(-6)?
4
Let n(r) = 6*r**2 + 4*r - 19. What is the hundreds digit of n(5)?
1
Let a = 2 + -1. Suppose 2*i = a + 15. What is the units digit of i?
8
Let a be (-3 + 1 - -3) + -1. Let d(p) = a*p + 0*p - p + 4. What is the units digit of d(3)?
1
Let r = 40 + -28. Suppose 0 = -4*z - r + 72. What is the units digit of z?
5
Let z = -4 - -7. What is the tens digit of (-3 - -16)*z/1?
3
Suppose -4*b = -3*b + 4*u, 0 = -3*b + 3*u + 60. Let x = 22 - b. Suppose 0 = 5*f - x + 1. What is the units digit of f?
1
Suppose -5*m + 2*h - 42 = 0, -h = -4*m - 5*h - 28. Let j(w) = w**2 + 2*w - 10. What is the units digit of j(m)?
8
Let x(l) be the third derivative of l**6/120 - l**5/6 + 5*l**4/12 + l**3/3 + 2*l**2. Let m be 2/3 + (-25)/(-3). What is the units digit of x(m)?
1
Let m(r) = 68*r**2 - 16*r - 1. What is the units digit of m(2)?
9
Let h = -13 - -6. Let k = h + 12. What is the units digit of k?
5
Suppose -5*c + 330 = -2*d, -3*c + d = -2*d - 207. Suppose -c = -4*x - 0*x. Suppose -4*h = x, -5*n = 5*h - h - 9. W