
1
Let n(j) = -j**2 + 6*j - 6. Let c be n(4). Suppose 3*h - c = 2*z + 2*z, 3*h = 2*z - 2. What is the units digit of 6 + 0 - (-2 - z)?
6
Let m(d) = d**2 + 11*d + 15. Let a be m(-12). Suppose a = 4*q - 25. What is the units digit of q?
3
Let f = 54 - 33. Suppose z + 3*z = -48. Let n = f + z. What is the units digit of n?
9
Let b(w) = -w**2 + 6*w - 3. Let u be b(5). Let t = 110 - 92. Suppose 0 = v + u - t. What is the tens digit of v?
1
Let n = 162 - 94. What is the tens digit of n?
6
Suppose -3*m + 4*h = m + 40, 0 = -m - h - 6. Let w = 19 + m. What is the units digit of w?
1
Suppose 3*x + 4*k = 318, 45 = x - k - 61. What is the hundreds digit of x?
1
Suppose 0*t - 2*t + 4*w = 24, 5*t + 2*w = -120. Let v = t - -35. What is the tens digit of v?
1
Suppose -2*h = 3*h + 150. What is the tens digit of (6/(-5))/3*h?
1
Let v(j) = j**3 + 10*j**2 - 5*j + 12. What is the units digit of v(-10)?
2
What is the units digit of 16/6 - 24/(-18)?
4
Suppose -5*d + 16 = 3*l, -2 + 28 = -2*l + 4*d. Let c be (10/(-8))/(l/12). Suppose 4*f + 1 = c*f. What is the units digit of f?
1
Let g(n) = 10*n - 8 - 10 + 8. What is the units digit of g(6)?
0
Let d(h) = 7*h**3 - h**2 + h - 1. Suppose 0 = 5*u - 4 - 1. Let f be d(u). Suppose -34 = -5*s - 2*k, -5*s + f*k + 55 = k. What is the units digit of s?
8
Let h(m) = -1 + 2*m**2 + 2 - 5*m - 7. Let q be h(5). Suppose 4*j - 75 + q = -5*p, -2 = 2*j - 5*p. What is the units digit of j?
9
Let c(s) be the second derivative of -s**3/6 + 3*s**2 - 7*s. What is the units digit of c(5)?
1
Let y(w) = -w**3 - 7*w**2 + 3*w + 2. What is the tens digit of y(-8)?
4
Suppose -2*o = -3*o + 3*i - 27, 5*o + 3*i = -171. Let f = -8 - o. What is the tens digit of f?
2
Let a(n) = -3*n**2 - n + 1. Let u be a(1). Let k be 27/(-4) + u/12. Let w = -4 - k. What is the units digit of w?
3
Suppose -19 - 321 = -2*o. What is the units digit of o?
0
Let m(n) = -n**3 - n**2 + n + 5. Let j = 6 - 6. Let z be m(j). What is the units digit of 33/z + 8/20?
7
Suppose 0 = -9*g + 4*g - 15. Let q(l) = -l**2 - l + 1. Let x be q(-3). Let a = g - x. What is the units digit of a?
2
Suppose 0 = 5*i - 147 - 8. Suppose -o - 2*o + 4*g = -36, 2*o - i = 5*g. What is the units digit of o?
8
Suppose y + 2*y = -9. What is the units digit of (-5 - -2)/(y/4)?
4
Suppose 2*d + 77 = 23. What is the tens digit of 2/4*(-1 - d)?
1
Let i be (10/(-3))/((-1)/6). Suppose 5*g + i = 0, -4*x - g - 2*g = -36. What is the units digit of x?
2
Suppose 0*j - 8 = -j + 4*x, 2 = -3*j - x. Let l(d) = -d**2 - d + 6. Let n be l(j). What is the units digit of ((-9)/n)/(3/(-8))?
4
Let b(f) = f**3 - 7*f**2 - 7*f + 3. What is the units digit of b(8)?
1
Let o = -237 + 461. What is the units digit of o?
4
Let a = -58 - -117. What is the tens digit of a?
5
Let h(u) = -3*u. Let y be h(-1). Suppose 0 = y*i - 4*i + 5. Suppose o - i = 7. What is the tens digit of o?
1
Suppose 2*u - 2 = -0. What is the units digit of u?
1
Suppose 3*b - 3*u - 972 = 0, 2*b - 444 = u + 209. What is the tens digit of b?
2
Let x = 4 + 0. What is the units digit of (x/(-6))/(8/(-72))?
6
Let q be 1*-3*160/(-12). Suppose 11 = 3*p - b - 13, 5*p + 2*b = q. What is the units digit of p?
8
Let h = 1 + -1. Suppose h*g + 8 = g. Let x = g - 6. What is the units digit of x?
2
Suppose 0 = -b - 17 + 19. What is the units digit of b?
2
Suppose 118 = 3*a - 4*i - 42, 3*a - 5*i - 164 = 0. Suppose 0 = -2*p - 0*p - v + a, -p + 2*v = -34. What is the units digit of p?
6
Let r be -5 - -2 - (0 - 0). Let a = r - -9. What is the units digit of a?
6
Let v = 18 + 109. What is the tens digit of v?
2
Suppose 101 = 4*v + 3*x, v - 49 = -v - 3*x. Suppose v = m - 29. What is the tens digit of m?
5
Let b(s) be the third derivative of s**6/120 - s**5/12 - s**4/6 - s**3/2 + 3*s**2. Let h(n) = 6*n**3. Let i be h(1). What is the units digit of b(i)?
9
Suppose -3*n - 144 = -30. Let g = n + 57. What is the units digit of g?
9
Suppose 3*h = 7*h + 4. Let s = h + 2. Suppose 0 = 2*r - r - s. What is the units digit of r?
1
Let v(w) = -2*w + 2. What is the tens digit of v(-7)?
1
Suppose -6*g = -3*g + 6. What is the units digit of (1 + 3)*g/(-8)?
1
What is the units digit of (24/(-14))/((-2)/7)?
6
Suppose -4*l + 2*d = 141 - 429, 5*l = 4*d + 360. What is the units digit of l?
2
Let b(p) = -p - 3. Let q be b(5). Let t = -6 - q. Suppose 0 = -t*c + 2 + 24. What is the tens digit of c?
1
Let d = -18 - -127. What is the units digit of d?
9
What is the units digit of 1/2 - (-203)/14?
5
Suppose -5*r = 7*r - 2424. What is the hundreds digit of r?
2
Let m be (-21)/9 - (-8)/(-12). What is the tens digit of m/(-1) + 663/17?
4
Let q be -2 - (0 + -1 - 4). Suppose -g + q - 7 = 0. Let f(p) = -p**3 - 3*p**2 - 4. What is the tens digit of f(g)?
1
Let d = 2 + -8. Let o = 3 + d. What is the units digit of o + 2 + -3 + 8?
4
Suppose -3*l + 4*k + 172 = 0, 2*l + 5*k - 136 = -l. What is the tens digit of l?
5
Let o(f) be the third derivative of f**6/120 + 2*f**5/15 - f**3/2 + 3*f**2. Let k be o(-8). What is the units digit of k*(-5 - 1 - 1)?
1
Let d = -10 - -17. Suppose 0 = f - 5*c + d, 5*f - 13 + 2 = 2*c. Let a = f - 2. What is the units digit of a?
1
Let l be -3 - 9/(-5 + 2). Suppose g + 16 = -5*b, l = -2*b - 4*g + 3 - 13. What is the units digit of (3/b)/(1/(-2))?
2
Let p = 136 + -71. What is the tens digit of p?
6
What is the tens digit of 3 - (-55 + (-2 - 0))?
6
Let s be 2 + 1 + 6/(-2). What is the units digit of -4*((-117)/12 - s)?
9
Suppose 53 = 2*n - 3*l, -3*l + 2*l + 85 = 3*n. What is the units digit of n?
8
Suppose -118 = 3*j - 0*q + q, 0 = -3*j - 2*q - 122. What is the units digit of j/(-6) - 2/6?
6
Let k(b) = 7*b + 2. Let f be k(1). Let t = 10 - f. What is the units digit of t?
1
Let n(r) = -r**2 - 25*r + 14. What is the tens digit of n(-25)?
1
Suppose 2*m + 9 = 25. Suppose -5*i + 3*i = -m. What is the units digit of i?
4
Suppose 0 = -0*c - 4*c + 20. What is the units digit of (-1 - c/(-3))*21?
4
Suppose -2*s + 8 = 2*s. Suppose -s*r = -r - 8. What is the units digit of 2/4*(r - -2)?
5
Suppose 4*r - 10 = 6*r. Let m = -3 - r. Suppose -4*a + 26 + 34 = -m*k, 25 = a - 3*k. What is the tens digit of a?
1
Let p(m) = m**3 + 5*m**2 - 6*m + 4. What is the units digit of p(-6)?
4
Suppose -5*f + 19 = -21. What is the units digit of 12/16 - (-2)/f?
1
Let y(t) = t**3 + 15*t**2 + 15*t - 11. What is the units digit of y(-11)?
8
Let r = 3 + 1. Suppose 0 = r*q - 110 + 18. What is the tens digit of q?
2
Suppose c - 12 + 4 = 0. Let l = c + 1. What is the units digit of l?
9
Let j(i) = -6 + 1 + 1 - 4*i - 1. Let c(s) = s - 1. Let m(p) = -5*c(p) - j(p). What is the units digit of m(0)?
0
Let o = -11 - -20. What is the units digit of o?
9
Let h = -1 + 3. What is the units digit of (h - 0)*(-3)/(-2)?
3
Let k = 307 + -196. What is the units digit of k?
1
Suppose -5*g + 0 = -5. What is the tens digit of (-36)/(-2 - g) + -2?
1
Let x(n) = n**3 - 10. Let u be x(0). Let i = -9 - u. What is the units digit of i?
1
Let x be 4/6 - (-32)/(-12). What is the units digit of 50/15*(x - -5)?
0
Let l(o) be the first derivative of o**4/4 - o**3/3 + o - 2. Let n be l(1). What is the units digit of (4/(-12))/(n/(-6))?
2
Let w be 1/(((-2)/2)/3). What is the units digit of 3/(w/(-6) - -1)?
2
Suppose -6 = -3*s - d + 2*d, 5*s = d + 10. Suppose -2*n + 42 = -0*a + s*a, 4*a = -4. What is the tens digit of n?
2
Suppose 2*j - 20 = -2*j. Let y be (-9)/(-6)*(-80)/(-15). Let n = y - j. What is the units digit of n?
3
Let v = 55 - 28. What is the units digit of v?
7
Let v = -44 - -115. Suppose -27 = 2*p - v. What is the units digit of p?
2
Let i(m) be the second derivative of m**4/12 + m**3 - 9*m**2/2 + m. Let f be i(-7). What is the units digit of (f + 3 - 2)*-4?
4
Let o(c) = c**3 - 5*c**2 - 5*c - 4. Let z be o(6). Let u be ((-18)/(-15))/(z/15). What is the units digit of 2*(-3)/3 + u?
7
Let r(l) = -l**3 - 4*l**2 + 5*l - 4. Suppose 0 = -4*s + u - 17, 4 = s - 0*u - 3*u. Let d be r(s). What is the tens digit of (d/(-6))/(6/99)?
1
Let l be -9*((-8)/6 - -1). Suppose 0 = 6*c - c - 60. Let j = c - l. What is the units digit of j?
9
Let f(q) = 3*q**2 + 5*q + 6 + 1 - 4*q**2. What is the units digit of f(5)?
7
Let m be ((-1 - -2) + 1)/2. What is the units digit of ((-4)/(-8))/(m/14)?
7
Let j(l) = -l + 3. Let o be j(0). Suppose -a = a - 40. Suppose -o*z + a = z. W