. What is the units digit of d?
1
Let p(q) = -14*q - 1. Suppose -5*z - 14 = 2*k, z + 4*z + 4 = 3*k. What is the units digit of p(k)?
7
Let t(a) = -19*a - 4. Let m(x) = 18*x + 3. Let o(h) = -4*m(h) - 3*t(h). What is the units digit of o(-1)?
5
Let b(g) = g**2 + 7*g + 1. What is the units digit of b(-11)?
5
Suppose 4*o = 7*g - 2*g + 484, 0 = -5*g. What is the units digit of o?
1
Let s = 16 + -11. Suppose -32 + 179 = 3*i. Suppose -o + 44 = 3*y, 4*y + s*o - i - 28 = 0. What is the tens digit of y?
1
Let y be (-6 - -7) + 0 + 2. What is the units digit of 3 + y*(-3)/(-9)?
4
Suppose -22*j - 88 = -24*j. What is the tens digit of j?
4
What is the units digit of 2*-2*(-384)/8 + -2?
0
Let a(z) = -z**3 + z**2 - 16. Let j be a(0). Let h be (j/12)/((-2)/3). Suppose -5*c = 2*q - 23, h*q - 4*c + 32 = 7*q. What is the units digit of q?
4
Let h(o) = 2*o**2 - 1. Let f be h(1). Suppose 0*r = 3*r. Let q = r + f. What is the units digit of q?
1
Suppose 7*a = 9*a - 22. What is the tens digit of a?
1
Suppose -l = -3*l. Let x = -1 + 1. Suppose x = 3*b - l*b - 18. What is the units digit of b?
6
Suppose 4*g - 1 + 11 = -2*q, g + 1 = -q. What is the units digit of q?
3
Let h(k) = -2*k**2 - 34*k + 5. What is the units digit of h(-16)?
7
Suppose 2*h = -3*g - 0*g + 223, 217 = 2*h - 3*g. Suppose -s + h = 4*s. What is the units digit of s?
2
Let u(m) = -m**2 + 2*m - 1. Let q be u(1). Let p = 0 - q. Suppose p = 2*j - 7 - 7. What is the units digit of j?
7
Let s be 370/(-45) - 4/(-18). Let o(f) = -5*f + 6. What is the units digit of o(s)?
6
Let a(z) be the first derivative of -z**2/2 - 2. Let x be a(-9). Suppose 2*v + 3*n + x + 2 = 0, 5*v + n - 5 = 0. What is the units digit of v?
2
Suppose 3*p + 214 = 3*n + 2*n, -2*n + p = -85. Let y = n + -25. What is the units digit of y?
6
Let k(d) = -d**3 + 11*d**2 + d - 4. Let f be k(11). Let q = 3 + f. What is the tens digit of q?
1
Suppose 0 = -5*k + k + 56. What is the units digit of (-3)/((-18)/k)*3?
7
Suppose 34 = 5*g - 2*r, 3*g = -g + r + 26. What is the units digit of g?
6
Let q be (-2)/(-6) - (-134)/3. Suppose j = -4*j + q. What is the units digit of j?
9
Let k = 10 + -2. Let i = k - 3. What is the units digit of i?
5
Let g = 13 + -12. What is the units digit of (9 - 8) + 1 + g?
3
Let x = -52 - -152. What is the tens digit of x?
0
Suppose 5*i = 5*w + 76 - 31, 3*i - 4*w - 30 = 0. Let a(r) = -12. Let c(u) = u + 1. Let k(d) = a(d) + 3*c(d). What is the units digit of k(i)?
9
Suppose -3*a - 5*i = -316, 0*i - 500 = -5*a - 3*i. What is the tens digit of a?
9
Suppose 4*b + 8 = 3*k, -4*b + 0*k = -k. Let o be 0 + -2 + b + 4. Suppose o*s + 4*u = -5, 0 = 5*s + u + 4*u. What is the units digit of s?
5
Let z(v) = v**3 - 17*v**2 + 21*v - 24. What is the units digit of z(16)?
6
Suppose 48 = -2*z + 2*y, 3*y + 124 = -4*z - 0*z. What is the units digit of 2/(-7) + (-428)/z?
5
Let b(k) be the second derivative of 4*k**4/3 + k**3/3 - k**2/2 + 5*k. What is the tens digit of b(1)?
1
Let x(n) = n**2 - 2*n + 6. Let u be x(5). Let t = -10 + u. What is the tens digit of t?
1
Let l = -5 + 5. Suppose 5*c - 20 = -l*c + 5*u, c - 3*u - 8 = 0. What is the units digit of c?
2
Suppose -4*g - j = 2*j - 55, 5*j = -3*g + 55. What is the units digit of (10/3)/(g/45)?
5
Let i(r) = -r**2 + 8*r - 9. Let q be i(4). Suppose -6*v = -q*v + 25. What is the units digit of v?
5
Let t be ((-6)/(-4))/(2/(-8)). Let b = t - -8. What is the units digit of b?
2
Let k(v) = -v**3 + 3*v**2 + 4*v - 4. Let q be k(4). Let a = q + 7. Suppose -a = 4*g - 39. What is the units digit of g?
9
Let a(j) = j**2 - 7*j + 4. Let l be a(5). Let y(b) = -2*b - 2. Let m be y(-5). Let h = l + m. What is the units digit of h?
2
Let t be (-5 - -3)/((-4)/(-6)). Let f(b) = b**3 + 2*b**2 - 4*b + 1. What is the units digit of f(t)?
4
Let n(p) be the third derivative of -p**4/4 - p**3/6 + p**2. Let d be n(2). Let i = d + 25. What is the tens digit of i?
1
Let m = 31 + -3. What is the units digit of m?
8
Let p(f) be the second derivative of -f**3/2 + 11*f**2/2 - f. Let v be p(8). Let r = -8 - v. What is the units digit of r?
5
Suppose 5*w = -0*p + 4*p + 25, 0 = 3*w - 3. Let x(s) be the third derivative of -s**5/60 - 7*s**4/24 - 7*s**3/6 - s**2. What is the units digit of x(p)?
3
Suppose -2*a + 5*f = a - 28, 0 = 2*a - 4*f - 20. Suppose -3*m + a*m = 15. What is the units digit of m?
5
Suppose 522 = 3*q + 3*q. What is the units digit of q?
7
Let a(w) = 4*w + 13. What is the units digit of a(-3)?
1
Let b = 2 + -7. Let a be 12/(b/(15/(-2))). Suppose -42 = -5*s - 2*j, -3*s = 4*j - j - a. What is the units digit of s?
0
Suppose 30 = -3*p + 4*p. What is the tens digit of p?
3
Let n = 67 + 34. Suppose 5*l - 4*k - 174 = 0, n = 4*l - l + k. What is the units digit of l?
4
Let w(j) = -6*j + 66. What is the units digit of w(-26)?
2
Suppose 2*m - 6*m + 20 = 0. Let p(t) = t**2 - t. Let x be p(0). Suppose -4*g - m*r + 47 = x, -2*r - 7 = -2*g + 3. What is the units digit of g?
8
Let j = 67 - 101. Let h = j - -65. What is the tens digit of h?
3
Let n be (9/12)/((-2)/(-8)). Suppose a + n*v = 120, -1 = v + 3. What is the units digit of (-4)/(-14) - a/(-28)?
5
Let i(k) = k + 2. Let p be i(2). Suppose 45 = p*r + 13. Suppose 3*x - 39 + r = -4*m, 2*x = -4*m + 26. What is the units digit of m?
4
Suppose -5*a + 2*a - 78 = 0. What is the tens digit of (-680)/a + (-8)/52?
2
Let z = -42 + 59. What is the tens digit of z?
1
Suppose 4*o - 2*h = 194, 3*o + 5*h = -o + 159. Suppose o = 5*s - 99. Suppose 0 = -5*m + s + 31. What is the units digit of m?
2
Let n = 0 - -2. Suppose -d - 4*k + 16 = 0, n*k = -2*d - 2*d + 22. Suppose g - 6 = 4*u, -d*u + 7 = -1. What is the tens digit of g?
1
Suppose 0 = c + 4*m - 3*m + 18, 2*c - 5*m + 71 = 0. Let b = 32 + c. Let k = 1 + b. What is the units digit of k?
0
Suppose 0*w + 55 = -5*c + 5*w, 4*c + 58 = -3*w. What is the units digit of (-3)/1*c/13?
3
Let r(u) = -13*u - 52. What is the tens digit of r(-15)?
4
Let f be (3/(-2))/((-9)/12). Let y be (1 + f)*15/9. Suppose 2*g + 3*u = y*u + 10, 3*u - 41 = -4*g. What is the units digit of g?
8
Let c(s) = 8 + s + s - 3 + s. Let t(r) = 4*r + 6. Let i(n) = 5*c(n) - 4*t(n). What is the units digit of i(-7)?
8
Let r = -4 + 4. Suppose -2*y - 9 + 149 = r. Suppose -4*s = n - y, 3*s - 60 = n - 4. What is the units digit of s?
8
Suppose 0 = -5*k - 5, -5*j + 3*k - 7*k + 11 = 0. Let m be 5 + 0 + 2 + 1. Let c = m + j. What is the units digit of c?
1
Let j = 10 + -9. Let a = 11 + j. What is the tens digit of a?
1
Suppose -2*f + 2*w + 28 = 0, -68 = -4*f - w + 2*w. What is the units digit of f/8*16/6?
6
Let u(c) = -c - 2. Let o be 1*-1*3/3. Let t be o/((-2)/10*-1). What is the units digit of u(t)?
3
Suppose -h = -4*n - 0*h + 293, 0 = -4*n + 3*h + 303. What is the tens digit of n?
7
What is the tens digit of (-1 + -4 + 8)*(-17)/(-3)?
1
Let v = 6 - 3. Suppose 0 = -4*s - v*y + 4*y + 13, -6 = -3*s + 2*y. What is the units digit of s?
4
Let z be (-76)/(-3)*(-18)/(-4). What is the units digit of (-2)/(z/(-28) + 4)?
8
Let w = 13 + -8. What is the tens digit of (1/(-3))/(w/(-165))?
1
Suppose 2*k - 1080 = -8*k. What is the units digit of k?
8
Suppose 0 = -7*d + 2*d + 15. What is the units digit of d?
3
Suppose -118 = -4*i - m + 101, 4*i = 5*m + 249. What is the tens digit of i?
5
Let h(j) = -j - 12. Let t be h(-12). What is the tens digit of 19 - (-5 + 3 + t)?
2
What is the hundreds digit of (-1)/((3 - 5)/664)?
3
Let h be (-64)/6*(-1 + -2). Suppose 2*t + 3*z = -2*z + h, -3*z - 6 = 0. What is the tens digit of t?
2
Suppose 0*h + h - 17 = 0. Suppose -4*c + 38 = 4*a + c, h = 3*a - 2*c. Let m = 14 - a. What is the units digit of m?
7
Let y be ((-4)/3 + 0)*6. Let f be (y/(-10))/(2/5). What is the units digit of 2/(-1)*(-1)/f?
1
Let n = -182 + 367. What is the tens digit of n?
8
Let s = -8 + 10. Let g be 10 + (4 + -3)*s. What is the units digit of (30/g)/(1/2)?
5
Let w(o) = 3*o. Let c be w(1). Suppose 3*q + 2*n = c*n - 1, -4 = q - 4*n. Suppose -3*r - 2*r + 95 = q. What is the units digit of r?
9
Let c(a) = a**3 - 10*a**2 + 8*a + 9. Suppose 2*l - 2*t = -2*l + 46, -3*t = -2*l + 33. Let m be c(l). What is the units digit of (-18)/(2 + (-4 - m))?
9
Suppose -3*z - 123 - 26 = -5*j, -3*z - 121 = -4*j. What is the units digit of j?
8
Let h be (1 + 0 + -2)*-7. Let f = 38 - h. What is the tens digit of f?