21. What is the units digit of y?
2
Let b(y) = y**3 - 4*y**2 - 9*y + 3. Let u be b(-4). Let r = u - -147. What is the tens digit of r?
5
Let f(m) = -6*m**3 - 3*m - 4. What is the tens digit of f(-2)?
5
Suppose 103 = 5*f - 4*d, 0 = 4*f - d + 3*d - 72. Let z = -16 + f. What is the units digit of z?
3
Let b = -12 - -35. Let v = -11 + b. What is the units digit of v?
2
Let n(k) = -k - 1. Let r be n(-7). What is the units digit of 153/21 + r/(-21)?
7
Let f be 26/10 - (-2)/5. What is the units digit of (f + 2)*(-1 - -2)?
5
What is the units digit of (-1 - -4) + -7 + 59?
5
What is the units digit of (1 - 3)*20/(-8)?
5
Suppose 2*l = 3*d + 164, -d - 6 + 83 = l. What is the tens digit of l?
7
Let t = 162 - 76. What is the tens digit of t?
8
What is the units digit of 5 + -1 + (-15)/(-3)?
9
Suppose 2*w - 10 = -0*w. Let o = w + 15. What is the units digit of o?
0
What is the hundreds digit of 4240/24 + 1/3 - 0?
1
Suppose 9 = -3*v, -2*o + 2*v = -3*v - 443. What is the tens digit of o?
1
Let t(o) = o**3 + 8*o**2 + 7*o - 7. What is the tens digit of t(-6)?
2
Let b = -8 - -26. Suppose -5*i + b = -42. What is the tens digit of i?
1
Suppose 0 = -z + 2 - 0. What is the units digit of (-5)/(-2)*4/z?
5
Let p(w) = -2*w + 28. Let i be p(0). Let j = 76 - i. What is the tens digit of j?
4
Let b be (-2 - -1)*(-29 - -5). Suppose -b = -3*s + 72. What is the tens digit of s?
3
Let q = -24 + 49. Suppose -k + q = 7. Suppose 0*b + y + 13 = 5*b, 4*b + 3*y - k = 0. What is the units digit of b?
3
Let x(w) = w**3 - w + 34. Let s be x(0). Let h = s - 16. Suppose 4*o = o + h. What is the units digit of o?
6
Let k(c) be the third derivative of 1/30*c**5 - 1/120*c**6 - c**2 + 0*c + 1/3*c**3 + 0 + 1/24*c**4. What is the units digit of k(2)?
4
Let r be ((-7)/(-2))/((-2)/(-4)). Suppose 3*i - 56 = r. What is the tens digit of i?
2
Let u(s) = -7*s - 5. What is the units digit of u(-7)?
4
Let m be (-290)/(-22) - (-8)/(-44). Suppose -m = -4*k - 5. What is the units digit of 1*(-4)/k + 10?
8
Suppose -3*h = 25 - 79. Suppose 0 = -3*g + 2*j + 10, -3*j + j = 4*g - h. What is the units digit of g?
4
Suppose 4*g + 0*g = 20. Suppose 13 = 4*w + 5*b, -2*w + 2*b = -3*b + 1. Suppose 2*y - g*h = 22, -4*h = w*y + 2*y - 44. What is the units digit of y?
1
Let a(p) = -1 + 0 + 3 - 4*p. Suppose 0 = 3*r + 4*q + 2, 5*r - q + 13 = 2*q. What is the tens digit of a(r)?
1
Let t = 95 + 1. What is the tens digit of t?
9
Let x(j) = 16*j**2 + 4*j. What is the tens digit of x(2)?
7
Suppose -4*x + 3*x = -4. Let p be ((-3)/(-2))/(3/x). Let n = p - -6. What is the units digit of n?
8
Let p(w) be the third derivative of -w**7/1680 - w**6/90 - w**5/20 - 3*w**2. Let j(g) be the third derivative of p(g). What is the units digit of j(-6)?
0
Let q(i) = 11*i + 2*i**2 - 7 + 1 - 2 + 2. What is the units digit of q(-8)?
4
Suppose -183 = -v + 1. What is the units digit of v?
4
Let w(r) = 4*r**2 + 7*r + 1. Let q(m) = -m**2 + 1. Let k(s) = -5*q(s) - w(s). Let v be k(8). Suppose -x + 2*x = v. What is the units digit of x?
2
Let p(t) = -t**3 + 8*t**2 - t - 3. What is the units digit of p(7)?
9
Suppose -q = -4*v + 13, -2*v - 23 = -q - 7*v. Suppose 5*s - 300 + 110 = -q*u, -s - 4*u = -21. What is the tens digit of s?
4
Let j = 44 - -9. What is the tens digit of j?
5
Let n be 0 + -2 + (0 - -6). Suppose -n*f + 5 = -5*f. What is the units digit of 4/f*25/(-10)?
2
Let b(o) = -49*o**3 + o**2. Let d be b(1). Let i = 88 + d. What is the tens digit of i?
4
Suppose -5*g - 34 = -224. What is the units digit of g?
8
Suppose 4 + 5 = x. Let d = -4 + x. Let g = d - 2. What is the units digit of g?
3
Let c be 3/(55/(-58) - -1). Suppose -3*m + c = -50. What is the units digit of m?
6
Let s(u) = u**3 + u**2 + u + 23. What is the tens digit of s(0)?
2
Suppose 5*g - 30 = -0*g. What is the units digit of g?
6
What is the tens digit of -69*((-22)/6 + 3)?
4
Suppose 0 = 4*i + o - 875 + 31, 2*o + 844 = 4*i. What is the units digit of i?
1
Suppose 37 - 232 = -3*k. Suppose 3*f - 71 = u, 0 = -4*f - u + 25 + k. What is the units digit of f?
3
Let s(t) = t**3 - 20*t**2 + 22*t + 32. What is the units digit of s(19)?
9
Let i(s) = -s + 3. Let p(l) = l**3 - 6*l**2 + 2. Let m be p(6). Suppose 0 = z - m*u + 3*u + 1, -2*z = -4*u + 14. What is the units digit of i(z)?
6
Suppose 3*q = 5*g + 127, 0 = 5*q - 4*g + 3*g - 197. Suppose 0 = -o + 4*o - q. What is the tens digit of o?
1
Let c be (-2)/(-4) + 35/14. Let o = c + 11. What is the units digit of o?
4
Let p be (2/(-2))/((-1)/27). Suppose -5*r + 33 + p = 0. Let t = r + -3. What is the units digit of t?
9
Let h(m) = 15*m**2 - m - 2. What is the units digit of h(-2)?
0
Let z be 93/3 - (2 + -1). Suppose 0*v = 3*v - z. Suppose t - 4*n - v = -3*n, -2*n + 36 = 5*t. What is the units digit of t?
8
What is the tens digit of (-3)/(-2)*(25 + 1)?
3
Suppose 0*d - i + 466 = 5*d, 2*d - 192 = i. What is the tens digit of d?
9
Let r(x) = x**2 - 6*x + 2. Let a = 3 - -3. Let g be r(a). What is the units digit of (-10)/((-2)/(2/g))?
5
Suppose -z + 10 = 4. Let s = 3 + -1. Suppose s*g - z*g = -24. What is the units digit of g?
6
Let i be (-4 + 3)*-1*-1. Let k = 4 + i. Suppose -u = j - 3*u - 5, u - 36 = -k*j. What is the tens digit of j?
1
Suppose -5*u + 424 = 3*u. What is the units digit of u?
3
Let n(u) = 1. Let i(y) = -y - 1. Let q(g) = i(g) + 2*n(g). Let v be q(0). What is the units digit of 2/v + (3 - 2)?
3
Let a be (0 - -1) + 2 + -1. Suppose a*t + 2*x = 6, 0*t - 8 = -2*t - x. Suppose -r - 4*m + 16 = r, 40 = 5*r - t*m. What is the units digit of r?
8
Let f be (-4)/(-12)*(1 + 17). Suppose 3*u - 39 = -3*i + f*i, 0 = -4*u - 5*i + 52. What is the tens digit of u?
1
Let n(z) = -3*z**2 + 1. Let j(i) = -4*i**2 + i + 1. Let b(m) = 4*j(m) - 5*n(m). Let q be b(3). Suppose 3*c - 2 = q*c. What is the units digit of c?
2
Suppose a + 2*h = 36, -h = -2*a + 3*h + 32. What is the units digit of a?
6
Let v(k) = -15*k**3 + k**2. Let s(n) = -n**2 - 5*n - 5. Let f be s(-4). What is the units digit of v(f)?
6
Suppose n - 5*d - 86 = 0, -4*n - 3*d - 2*d + 294 = 0. What is the units digit of n?
6
Let n be (4/(-6))/(1/18). Let j(m) = m**3 + 12*m**2 + 13. What is the tens digit of j(n)?
1
Let d(x) = x**3 - 5*x**2 - 5*x - 5. Let w(a) = -3*a - 3. Let c be w(-3). Let m be d(c). What is the units digit of m + (-2 - -2) + 3?
4
Let z(r) = 1 + r - 3 + 3. What is the units digit of z(7)?
8
Let g be -2 - -2 - (-2 + 28). Let f = 10 + g. Let s = -5 - f. What is the tens digit of s?
1
Suppose -337 = -9*l + 950. What is the tens digit of l?
4
Let w(j) = -6*j + 58. What is the units digit of w(-12)?
0
Let f be 2/2*(7 + -4). Suppose 0 = 3*q, -2*p = f*q - 16 - 8. What is the tens digit of p?
1
Let k(c) = -4*c**2 + 4*c - 6. Let n be k(4). Let v = n - -79. What is the units digit of v?
5
Let p(v) = -3*v - v**2 - 2 + 3 + 2 + 2*v**2. What is the units digit of p(6)?
1
Suppose -2*f = 5*g - 1519, 2*f - 619 = -2*g + 5*f. What is the hundreds digit of g?
3
Let r(z) = 18*z**2 + 3 + 22*z**2 - 1 - 2*z. What is the units digit of r(1)?
0
Let s(h) = h**3 - 11*h**2 - 10*h - 17. Suppose 9*f = 5*f + 48. What is the units digit of s(f)?
7
Suppose 27 + 73 = 5*d. What is the units digit of d?
0
Let b = 2 - 3. Suppose 0 - 3 = 3*u. What is the units digit of 3/(3*b)*u?
1
Let l(m) = 25*m**2 - 7*m + 8. What is the units digit of l(2)?
4
Let i be 6/(-12) + (-10)/(-4). Suppose 0 = 3*y + i*y. Suppose -5*j + 2*j + 36 = y. What is the units digit of j?
2
Let b(o) = 13*o + 9. Let k be b(-6). Let d = -35 - k. What is the tens digit of d?
3
Suppose 4*m = 3*m + 2. Let z(k) = m - 5*k**2 - k**3 - 4*k**2 + 10*k - 1. What is the units digit of z(-10)?
1
Let p(r) = r**3 + 17*r**2 + 19*r + 3. What is the hundreds digit of p(-15)?
1
Suppose -3*z + m - 51 = -m, z = -5*m. Let n(v) = -6*v**2 + 2*v - 1. Let g be n(2). Let x = z - g. What is the units digit of x?
6
Let f(k) = -11*k - 9. What is the units digit of f(-7)?
8
Let x be (-2)/5 + 912/30. Suppose -4*h = -x - 78. What is the units digit of h?
7
Let h = -9 + 34. What is the units digit of h?
5
Let p(c) = -80*c + 5. Let a be p(4). Let y = -223 - a. Suppose -13 = -5*k + y. What is the tens digit of k?
2
Let v be 42/9 + 2/6. Suppose -z + 44 = -6*z + 2*w, -4*w = -v*z - 48. What is the units digit of 0 + 1/((-2)/z)?
4
Let n(s) = -23*s - 3. What is the tens digit of n(-6