, -s = 4*n + 2*s - 23. Suppose -2*b + n = -f + 8, -b = 3*f - 18. What is the units digit of f?
6
Let j(i) = i**3 + 5*i**2 + 4*i + 1. Let p be j(-4). Let d = 1 - p. Suppose 4*s = 5*a - 73, 2*a - 18 = -4*s - d. What is the units digit of a?
3
Suppose 191 + 47 = 7*s. What is the tens digit of s?
3
Let g be (6/4)/(12/16). Suppose g*o - 2*s + 7*s = 0, 0 = s. Suppose 5*d = 4*p - 9, 2*p - 3*d - 9 + 4 = o. What is the units digit of p?
1
Suppose -5*n + 6*n = 46. What is the tens digit of n?
4
Let k = -44 + 24. Let a = k + 32. What is the tens digit of a?
1
Suppose -p + 4*h = 14, 0 = -4*p - 0*h - 2*h - 2. Suppose -33 = 4*s - 4*d + 7, -4*d + 24 = -2*s. Let q = p - s. What is the units digit of q?
6
Let g(v) = 4*v - 1. Let a be g(1). Suppose -2*b + 4*j = 12, a*b - 5*j - 6 + 20 = 0. Suppose -b*n + 4 = -8. What is the units digit of n?
6
Let a(x) = 12*x - 1. Let r be a(-3). Let b = -24 - r. What is the tens digit of b?
1
Suppose -a + 4*m + 2 = -7, -3*a + 3*m = -9. Let s(r) = 4*r - 1 + 4*r + 0. What is the units digit of s(a)?
7
Suppose -3*b + 44 = 2*v, -4*v - 38 = -b - 0*b. Let y = -16 + b. What is the units digit of y?
2
What is the units digit of (-107)/(-5) - 8/20?
1
Suppose -45 = -3*m + 3*g, -145 = -5*m - 3*g - 30. Let b = m + 1. What is the units digit of b?
1
Suppose -4*g + 63 = 5*l - 13, 50 = 3*l - 2*g. What is the units digit of l?
6
What is the units digit of (-3 + 2)*(-12 + -3)?
5
Suppose 3*m + 18 = -171. Let l = -25 - m. What is the tens digit of l?
3
Suppose 2*p = -5*p + 497. What is the units digit of p?
1
Let j = 116 - 61. Suppose 7*f - 205 = 3*f + 3*r, -f - 3*r + j = 0. What is the units digit of f?
2
Let i be (6/4)/(21/28). Suppose -i*h - 8 = -0*h, -h + 124 = 4*z. What is the tens digit of z?
3
Let t(k) = k**3 + k**2 - 9. Let b be t(0). What is the units digit of ((-3)/b)/(2/42)?
7
Let c(k) = 19*k**2. Let n be c(-1). Suppose -2*b - 3*h - 19 = -4*b, 0 = 3*b + 5*h - n. What is the units digit of b?
8
Let h(c) = -c**2 + 29*c - 22. What is the tens digit of h(21)?
4
Suppose 5*y - 77 - 5 = 4*c, -8 = -4*c. Let d = y - -8. What is the tens digit of d?
2
What is the tens digit of (-3)/(1/(-12)*2)?
1
Let q(x) = x**3 + 8*x**2 + 2*x - 2. Suppose 2*r + 6 = -5*m - 33, 0 = 4*r - 2*m + 18. What is the tens digit of q(r)?
3
Let w(u) = u + 19. Let q be 1*-2*(-2 - -7). Let r be w(q). Let y(s) = s**2 - 7*s - 5. What is the tens digit of y(r)?
1
Suppose 11*v - 826 = 4*v. What is the tens digit of v?
1
Let l(q) be the third derivative of q**6/60 - q**5/30 + q**4/12 - q**3/6 - 4*q**2. What is the units digit of l(1)?
1
Suppose 36 = -3*u + 5*w - 52, -48 = 2*u + 2*w. Let m be u/(-5) + (-2)/10. Suppose 3*j + 8 = m*j. What is the units digit of j?
4
Let m(q) = 2*q**2 + 5*q + 6. Let a be m(-4). What is the units digit of 4/18 + 518/a?
9
Suppose -76 = -i + 5*v, i - 179 = -3*i - 5*v. What is the tens digit of i?
5
Let l = -114 + 180. What is the tens digit of l?
6
Let q = 87 - 47. What is the tens digit of q?
4
Suppose w - 15 = 4*w, 4*c - 47 = -w. What is the units digit of -4 - -1 - (-2 - c)?
2
Suppose -3*j + i = 4*i - 45, j - i = 21. Let s be j/12*(2 - 0). Suppose -4*g + s = c - 0, 2*g - 12 = -2*c. What is the units digit of c?
7
Suppose -3*q + q + 6 = 0. Suppose -22 = -q*r + r. What is the units digit of r?
1
Let v = 108 - 73. Suppose 5*r = 3*j + 2*j - 35, 5*r = 4*j - 30. Suppose -j*c - 50 = -5*g, 2*g + 4*c - v = 3*c. What is the tens digit of g?
1
Suppose 72 = g + 3*r + 10, -5*r = -3*g + 130. What is the tens digit of g?
5
Let b = 11 - 7. Let k be -1 + 1 - (-1 + 1). Let l = b + k. What is the units digit of l?
4
Let r = -10 - -16. Suppose -3*d - r = -24. What is the units digit of d?
6
Suppose 4*n - 31 = -x + 205, 3*n - 196 = 4*x. Let q = n + -36. What is the tens digit of q?
2
Let g(z) = -z**3 - z**2 - 10. What is the tens digit of g(-4)?
3
Suppose 0 = -4*x - 30 + 70. What is the tens digit of x?
1
Let g = -5 + 23. Suppose -3*n + 248 = n. Suppose g = 5*m - n. What is the units digit of m?
6
Suppose -4*n + 9*n + 4*v + 68 = 0, 0 = 5*v + 10. What is the units digit of (-201)/n - (-1)/4?
7
What is the tens digit of (-3 + 1)/(8/(-212))?
5
Let v(h) = 10*h - 8. What is the tens digit of v(8)?
7
What is the tens digit of (1/((-1)/36))/(-1)?
3
Let j be 2*(2 + 22/4). Suppose -l = -6*l + j. Suppose t - l = 6. What is the units digit of t?
9
Let b(r) = 2*r**2 - 9*r + 9. Let z be b(6). Suppose 2*g - 4*g - 5*m = -z, -5*m - 15 = -5*g. What is the units digit of g?
6
Let v be (-449)/(-11) - (-2)/11. Let b = 12 + 13. Let z = v - b. What is the tens digit of z?
1
Suppose 8 = -2*o - 0*o. What is the units digit of o/6 - 356/(-12)?
9
Suppose 16 = 4*t - t - 2*w, 0 = -5*t + 3*w + 26. What is the tens digit of (t + 7)*(0 - -1)?
1
Let q = 7 - -30. What is the units digit of q?
7
Let f(d) = 3*d + 12. Let u be f(-8). Let y(j) = -2*j + 6. What is the tens digit of y(u)?
3
Let f(t) = t - 1. Let c = 3 - -2. What is the units digit of f(c)?
4
Let j = 269 + -114. Suppose -j = -5*p - 40. What is the tens digit of p?
2
Let z(b) = -4 + 3 + b - 4*b - 8. What is the units digit of z(-8)?
5
Let z(r) = -r + 8. Let v be z(6). Suppose 0 = p + v*d - 7*d - 23, 3*p = -5*d + 29. What is the units digit of p?
3
Let v(f) = f**3 + 11*f**2 + 20*f + 15. What is the tens digit of v(-6)?
7
Let v = 39 - 21. What is the units digit of v?
8
Suppose 3*i - 62 = i. What is the units digit of i?
1
Suppose -1 = 4*s + 3, -2*p + 2 = -4*s. Let x = 4 - p. What is the units digit of x?
5
Let i(l) = l**3 - 6*l**2 + 8*l - 6. Let d = -13 - -18. What is the units digit of i(d)?
9
Let b be 0*(-3)/9 - 2. Let t be 3/((3/b)/1). Let j = 12 + t. What is the units digit of j?
0
Let g(l) = -l**2 - 8*l - 3. Let i be g(-7). Suppose 5*t - 36 = w, -t + 30 = i*t + 5*w. What is the units digit of t?
7
Suppose -3*c = -3*j + 3, -5*c - 7 = -4*j - 0*j. Let k = j + 5. What is the units digit of k?
3
What is the tens digit of (-3 - -1)*91/(-2)?
9
Let m(z) = 3*z**2 - 3*z - 4. Let n be m(5). Let b = 82 - n. What is the units digit of b?
6
Suppose -15*s = -4*s - 451. What is the units digit of s?
1
What is the units digit of 34/4 - (-1)/2?
9
Let l = 183 + -114. What is the units digit of l?
9
Suppose -5*j + 8 = -j. Suppose 2*g = -5*l + 16, -g - j*g = -l - 41. What is the tens digit of g?
1
Let j(f) = f**3 + 13*f**2 - 7*f. Let l be j(-11). Suppose 0 = -5*v - 84 + l. What is the units digit of v?
7
What is the units digit of 3 + 252 - (-12)/6?
7
Suppose 25 = -5*y - 15. What is the units digit of y/(-4*(-3)/(-18))?
2
Let y be (-10)/15 + 2/3. Suppose 3*z = -y*z - 3. Let b = 3 - z. What is the units digit of b?
4
Suppose 0 = -2*z + 3*s, -5*z + 3*s = -s. Suppose z = -5*m + 82 + 23. What is the units digit of m?
1
Let m(d) = d**3 + 10*d**2 - 2*d + 10. Let v be m(-10). Suppose 2*t - v = -3*t. Let r = 5 + t. What is the tens digit of r?
1
Let n(x) = x + 7. Let t be n(-9). Let v = -19 + t. Let c = 31 + v. What is the tens digit of c?
1
What is the tens digit of 4/(-18) - 2*2657/(-18)?
9
Suppose 38*f = 45*f - 2597. What is the units digit of f?
1
Let r(i) = i**2 + i - 10. What is the units digit of r(-7)?
2
Let t be 5/((-50)/48)*-5. Let n be -15 - (0 + -1 - -2). Let u = n + t. What is the units digit of u?
8
Let g(s) = s - 3. Let b(h) = -3*h + 8. Let a(c) = -2*b(c) - 7*g(c). Suppose -6*q + 2*q = -12. What is the units digit of a(q)?
2
Let a(c) be the third derivative of c**5/60 - c**4/4 - c**3/6 - 2*c**2. What is the units digit of a(7)?
6
Let j be 8/(-12) + 8/(-6). Let a be (j/(-3))/(3/(-9)). What is the units digit of (4/(-2))/(a/5)?
5
What is the tens digit of 285/6*6/5?
5
Let z be (-1)/2 + (-5)/(-10). Suppose 5*m = -z*m + 75. Suppose m = 4*f + f. What is the units digit of f?
3
Let o(u) = 21*u**2. What is the units digit of o(1)?
1
Let u(y) = -2*y**3 - 3*y - 3. Let q = -15 - -13. What is the units digit of u(q)?
9
Let i(q) = -q + 8. Let x(k) = -k + 3. Let s be x(5). Let z = 2 + s. What is the units digit of i(z)?
8
Let r = 69 + 10. What is the tens digit of r?
7
Let v(h) = -h - 5. Suppose -3*x - 10 = -q, 2*q - 3 = -4*x - 33. Let k be v(x). Suppose k = 5*s - s + 4*j - 4, s = -2*j - 1. What is the units digit of s?
3
Let v(s) = s**3 - 2*s**2 + s - 4. Let q be v(3). Let z = q + -3. What is the units digit of z?
5
Let s = 2 + 4. Let f = s + -8. What is the un