 3. What is the units digit of p(2)?
7
Let z(k) be the third derivative of -k**5/60 - 5*k**4/12 + 4*k**3/3 - 3*k**2. What is the tens digit of z(-7)?
2
Suppose 0 = -4*p + 2*p. Suppose p = 2*v - 3*v + 14. Suppose v = 2*q - 8. What is the units digit of q?
1
Let p = 11 - 6. Suppose 5*u - 23 = -d, -p*d = -d - 12. Suppose -t - t = -u. What is the units digit of t?
2
Suppose 0*a + 21 = 3*a. What is the units digit of a?
7
Suppose -5*g = c + 69 - 205, -5*g + 4*c = -131. What is the tens digit of g?
2
Let t = 134 - 81. Let u = t - 33. What is the units digit of u?
0
Suppose u - 2*u = 5*z + 29, 5*u - z + 145 = 0. Let k be u/(-4) - (-4)/(-16). Suppose k = -w + 22. What is the tens digit of w?
1
Suppose 0*s = 2*s - 14. Let c be s/5 + 4/(-10). What is the units digit of 15/3 + 1/c?
6
Suppose -65 = 5*n + a, 6*n + 5*a + 17 = 3*n. Let x = 20 + n. What is the units digit of x?
6
Let j be (-8)/10*225/(-10). Suppose 2*n - d = -4, 6 = -n - 5*d - j. What is the units digit of 14/n*(-4)/2?
7
Let n(b) = b + 3. Let s be n(-3). Suppose s*l = 5*l - 10. What is the units digit of l?
2
Let y be (6/8)/(1/16). Let i = 48 - y. Suppose 4*a - i = 4*f, -3*a = -2*f - 0*f - 26. What is the units digit of a?
8
Let m(d) = -5*d. Let g be m(-1). Suppose -4*f = -8*f + 5*q + 27, -2*f = g*q + 9. What is the units digit of f?
3
Suppose 5*c = -5*z, -z + 6 = -3*c - 6*z. Suppose -2*v - 21 = -c*v. What is the units digit of v?
1
What is the tens digit of 1 + 0 - (-124)/4?
3
Let q be 2/(-2)*(16 + -6). What is the units digit of 3/(-5) - 106/q?
0
Let a be 2 + -3 + -1 + 4. Suppose -4*r - 16 = a*h, -3*r - 14 = 4*h + 13. Let k(i) = i**3 + 6*i**2 + 7. What is the units digit of k(h)?
7
Let r(p) = p**2 - 2*p - 1. Let s be r(-4). Let q = -40 + 26. Let g = s + q. What is the units digit of g?
9
Let j = -11 - -17. What is the units digit of j/(-18) - (-68)/6?
1
Suppose -3*z = 2*l - 313, -328 = -2*l - 0*z + 2*z. What is the units digit of l?
1
Let j = -413 + 256. Let n = -107 - j. Suppose 0 = 3*y - 4*l - 23, 0 = -5*y - 2*l - 3*l + n. What is the units digit of y?
9
Suppose 0 = 3*k - 529 + 40. What is the tens digit of k?
6
Suppose -w = 2*w - 12. Let q be ((-24)/(-9))/w*3. Suppose q*p - y - 8 = y, -3*p = 5*y - 20. What is the units digit of p?
5
Let i be 18/10 - 1/(-5). Suppose -x + i*k - 15 = -2*x, k - 57 = -5*x. What is the units digit of x?
1
Suppose -2*r = -5*t + 4, -2*t - 7 = -5*r + 2*t. Suppose 0 = -r*q + b + 17 - 53, -58 = 4*q + 2*b. Let f = q + 22. What is the units digit of f?
9
Let v(p) = p**2 + 3*p + 8. Let o = 19 + -25. What is the units digit of v(o)?
6
Let m = -51 - -123. Suppose u = 5*u - m. What is the tens digit of u?
1
Suppose 0 = 2*s + s - 9. Suppose -s*c + 7 = 25. What is the units digit of (-4)/(16/c)*2?
3
Suppose 4*g = -4*t - 16, 0 = -g + t - 0 - 4. Let h = 2 - g. Suppose -4*s + c - h = -c, -2*s - 5*c + 27 = 0. What is the units digit of s?
1
Let s(v) = -v**3 - 1. Let p(q) = q**2 + 3*q. Let a(w) = -p(w) + 2*s(w). Let y be a(-2). Let c = 24 - y. What is the units digit of c?
8
Let u = -52 + 92. What is the units digit of u?
0
Let j = -43 - -112. What is the tens digit of j?
6
Let c(v) = v**2 - 6*v - 19. What is the units digit of c(-7)?
2
Let i be (-5)/(-3) + 1/3. Suppose 4*a - 9*a - 20 = 0. What is the units digit of (-5)/a - i/8?
1
Let y = 59 - 89. Let s be -2*(y/(-4))/(-3). Suppose 2*z - 2*t = 32, s*z - 5*t + 2*t - 70 = 0. What is the tens digit of z?
1
Let z = -12 - -8. Let s(g) be the first derivative of g**3/3 + g**2/2 - 3*g - 8. What is the units digit of s(z)?
9
What is the hundreds digit of (-10)/(-2) + 139 - -1?
1
Let z(c) = c - 8. Let p be z(17). Let f(h) = -2 + 21 + 2*h - 3*h. What is the tens digit of f(p)?
1
Suppose -6*w + 2*w = -88. Let c = w - 15. Let h = -4 + c. What is the units digit of h?
3
Let s = -5 - -8. Suppose -h - s*h + 68 = -4*k, -84 = -4*h - 4*k. What is the tens digit of h?
1
Suppose 5*z + 5*q - 7 = 3*q, q - 2 = -z. Let n = 6 - z. Suppose n*m = -14 + 64. What is the tens digit of m?
1
Let f be 10 + 0 + 2 + 3. What is the units digit of 6/f + (-76)/(-10)?
8
Let l = 2 + -1. Suppose 24 = 4*x + 4*j, -7 = -2*x + 2*j + l. What is the units digit of x?
5
Suppose t - 31 = -4. Suppose 2*o - 5*o = t. Let s(k) = -k + 3. What is the units digit of s(o)?
2
Suppose -2*g - 32 = b, -5 = g + 2*b + 17. What is the units digit of (-3)/9*(2 + g)?
4
Let y(v) = -v**3 - 2*v**2 - 2*v - 4. What is the units digit of y(-3)?
1
Let u(l) = -2*l - 1. What is the tens digit of u(-10)?
1
What is the units digit of ((-6)/(-5))/((-4)/(-100))?
0
Let p(b) = -b**2 - b + 5. Let r be p(0). Let s = r - 1. Suppose -s*d + 16 = 2*a, -4*a = -4*d - a + 16. What is the units digit of d?
4
What is the tens digit of ((-9)/(-27))/(2/330)?
5
What is the tens digit of (4/(-14)*39)/(5/(-35))?
7
Suppose 5*o + 154 = 609. What is the units digit of o?
1
Suppose -44 - 81 = -5*f. What is the units digit of f?
5
Suppose 5*o - 4*j = 53, 0 = 2*o - o + j - 7. Let a = o + -4. What is the units digit of a?
5
Suppose -w + 4*u - 1248 = -6*w, w - u - 246 = 0. What is the tens digit of w?
4
Let a = -20 - -23. Suppose 0 = -2*c - 2*j + 24, 0 = -a*c - c - j + 39. What is the units digit of c?
9
Suppose 9*b = 5*b + 24. Suppose -5*h - 46 = -b*h. What is the tens digit of h?
4
Suppose 52 = 4*i - 4*n, 0 = 2*i + 2*n - 4 - 2. What is the units digit of (-6)/(-3) + i + 2?
2
Let j be (-2)/(-6) + (-1100)/(-12). Suppose -j = -4*t - 5*x, 0*t - 2*t - 5*x + 36 = 0. What is the units digit of t?
8
Let f(l) = -l. Let r be f(-10). Let k = r - 7. What is the units digit of k?
3
Suppose -4*d + 6 = 2*j, 0 = j - 2*d - 3. Suppose -3*p = 3 + j. What is the units digit of 15 + 2*p/2?
3
Let g(w) = -w**2 + 4*w - 3. Suppose -3*k + 2 = -13. Let a be g(k). Let u = a - -15. What is the units digit of u?
7
Suppose -2*w + 5*m = -165, 3*w = -2*m - 11 + 230. What is the units digit of w?
5
Let u = -20 + 36. What is the units digit of 1/(-3) + u/12?
1
Suppose 2*f - 116 = -5*r + 2*r, 4*r = -2*f + 118. What is the units digit of f?
5
Let n(i) = -i**2 + 7*i - 2. Suppose 0 = -0*g - 5*g + 30. What is the units digit of n(g)?
4
Suppose -32 = -2*a + d, -5*a + 4*d + 83 = -0*d. Let l be ((-5)/(a/(-18)))/2. What is the tens digit of (l/2)/((-3)/(-44))?
2
Let f be (-1)/(-3 - -2 - -2). What is the units digit of -4 + 4 - (f - 20)?
1
Let b = 353 + -238. What is the tens digit of b?
1
Let f be ((-88)/6)/((-3)/9). Suppose 0 = 2*x + 8, 2*h - 5*x + 6 - f = 0. What is the units digit of h?
9
Suppose 6*v - 7*v = 1. Suppose h = -3*h - 20. What is the units digit of (v - 1)*h/2?
5
Let w = -6 + 12. Suppose w*x + 5*y - 140 = x, 5*x - y = 146. Let a = x - 21. What is the units digit of a?
8
Let w(l) = -l + 11. Suppose 22 = 3*q - 8. Let t be w(q). Let b(u) = 9*u**2 + 2*u - 1. What is the units digit of b(t)?
0
Suppose 2*v + 0 - 4 = -4*k, -2*k - 5*v = -10. Suppose 0*s + 31 = -2*z + s, k = -2*z + 4*s - 40. What is the units digit of 4/z + 116/14?
8
Let k(h) = 9*h - 9. What is the units digit of k(5)?
6
Suppose 0 = 2*a + 4*t - 2, -4 = -3*a - 6*t + t. Suppose 0 = 3*r + a - 15. What is the units digit of r?
4
Suppose 2*s - 17 = 29. Suppose 2*y = -5 + s. What is the units digit of y?
9
Suppose 2*b - 70 = -3*p, 9*p = -2*b + 4*p + 66. What is the tens digit of b?
3
Suppose -5*n - 23 = -3. Let u be (-7)/(-2) + 2/n. Suppose 0 = -g + y + 4, 0 = -g - u*y - 4 - 0. What is the units digit of g?
2
Let z = 68 + -61. What is the units digit of z?
7
Let x(h) be the second derivative of -2/3*h**3 + 0 + 1/2*h**2 + 1/12*h**4 + h. What is the units digit of x(5)?
6
Let z = -6 - -11. Suppose 2*x - 50 = -3*r, 2*r - 5*r = 0. Suppose 5*i + 3 = 2*m, -2*i = -z*m - 7*i + x. What is the units digit of m?
4
Suppose 0 = t - 4. What is the units digit of (2/t)/(2/76)?
9
Suppose 0 = 2*y - 0*y - 8. Suppose -y*p - p = -85. What is the tens digit of p?
1
Let t be -1 + -1 + 3 + -1. Suppose z + t*l - 1 = 2*l, 0 = 4*z + 5*l - 17. Suppose -5*v + 4*w + 42 = 15, 0 = z*w + 9. What is the units digit of v?
3
Let r(x) = -5*x - 2. Let k be r(-3). Let d = 0 + k. What is the units digit of d?
3
Let a = 82 - 43. Suppose 0 = -2*y - u + a, -3*y + 3*u = -0*y - 54. What is the tens digit of y?
1
Suppose 4*u - 12 = 7*u. What is the units digit of (-48)/u*2/4?
6
Let a(g) = -7*g. What is the tens digit of a(-4)?
2
Let g = -1 - -