t i(v) = -6*a(v) + p(v). What is the units digit of i(-3)?
7
Suppose -197*i = -196*i - 217. What is the tens digit of i?
1
Let h = 8 + 10. Suppose 0 = 3*p + 12, h = 3*z - z + p. What is the units digit of z?
1
Let t(p) = p**3 + p - 1. Let r(k) = 5*k**3 + 5*k**2 + 5*k - 2. Let s(z) = -r(z) + 6*t(z). What is the units digit of s(5)?
1
Let i(c) = 13*c**2 - c + 1. Let s(j) be the second derivative of -j**3/6 + 7*j**2/2 + 2*j. Let a be s(6). What is the units digit of i(a)?
3
Suppose -7*i + 2*i = -20. Suppose 0 = 3*p + 5*b - 52, -i*p = 4*b - 2*b - 60. What is the units digit of 711/63 - 4/p?
1
Let s = 14 - 8. Suppose -s*h + 24 = -3*h. What is the units digit of h?
8
Suppose 11*s = 2*s + 774. What is the units digit of s?
6
Let n(m) = -m + 15. Let v be n(13). Suppose -a - 54 = -v*h, 5*h + 2*a - 126 = -0*a. What is the units digit of h?
6
Let q(y) = 2 - 9 - y - 1. What is the units digit of q(-14)?
6
Let z(x) = -x**3 + 11*x**2 + 18*x - 10. What is the units digit of z(12)?
2
Suppose -2*p - 18 = 2. What is the units digit of 79/11 - p/(-55)?
7
Let v(z) = -3*z + 11. Let c be v(5). What is the units digit of c/14 - (-37)/7?
5
Let h = -1 + 17. Let y be (-9)/(-3) - h*-2. What is the units digit of 150/y + 2/(-7)?
4
Suppose -3*h + 18 - 90 = 0. Let p be 1/4 + (-42)/h. Suppose -p*l - 4 = -3*l. What is the units digit of l?
4
Suppose -3*r + 622 = 70. What is the tens digit of r?
8
What is the hundreds digit of 6/12*362 - 5?
1
Let q = 56 - -41. What is the units digit of q?
7
Suppose 2250 = 5*o + 490. What is the units digit of o?
2
Let j(r) = 3*r**2 - 3*r + 1. Let y be j(2). Let h = -3 + y. Suppose h*l + l - 35 = 0. What is the units digit of l?
7
Let o be -2 + -34*(2 + 0). Let f = -50 - o. What is the tens digit of f?
2
Let s(u) = -u**3 - 8*u**2 - 9*u. Let y be s(-6). What is the tens digit of y/(2/(3 + -5))?
1
Let h(p) = -p**3 - 2*p + 5. Let q be h(0). Suppose 20 = 3*a + 2*a. Suppose 37 = a*d - k, -12 = k - q*k. What is the units digit of d?
0
Suppose 3*n - 17 + 5 = 0. Suppose -2*u - o - 4 + 23 = 0, -u + 5 = -n*o. What is the units digit of u?
9
Suppose n - 3*n = j + 13, 4*n + 72 = -4*j. Let f = 15 + j. Let x = f - -17. What is the units digit of x?
9
Let l(g) = -4*g - 25. Let x(o) = 2*o + 12. Let m(r) = -3*l(r) - 7*x(r). What is the units digit of m(-6)?
3
Let a = 14 + -9. Suppose a*l - 12 = 4*l. What is the units digit of l?
2
What is the tens digit of (3 - 5)/((-4)/106)?
5
Let x(z) = z**2 - 3*z - 5. Let a be x(4). Let n = a + -3. What is the tens digit of n/(-14) - 440/(-28)?
1
Let a = -2 - -12. Suppose -2*v - 3*v + a = 0. What is the units digit of v?
2
Let m(o) be the first derivative of o**2/2 - 5*o - 2. Let u be m(8). Let r = u - 0. What is the units digit of r?
3
Let p be 3 - (1 + 1 + -4). Suppose 13 = 5*h - 5*k - 42, 41 = h + p*k. What is the units digit of h?
6
Let a = 65 + -46. What is the tens digit of a?
1
Let i(l) = 21*l + 21. What is the tens digit of i(12)?
7
Let u be (8/(-14))/(4/(-14)). Suppose u + 0 = 2*f. What is the units digit of f?
1
Suppose 2*y + 2 = 4*n - 0*n, -9 = 3*y. Let b = n - 0. Let q(f) = -4*f**3 - f - 1. What is the units digit of q(b)?
4
Let n = -54 + 111. What is the tens digit of n?
5
Suppose 0*g - 4*g = 0. Suppose 4*t + g*t = 16. Suppose -4*q - 28 = -t*l, -5 = -3*q + 7. What is the tens digit of l?
1
Let n = 8 + -3. Suppose 0 = i - n*i + 12. Let f = 5 - i. What is the units digit of f?
2
Let h = 13 + -7. Suppose -4*l = 7*u - 2*u + 6, -u - 2*l = h. What is the units digit of u?
2
Suppose 0*f - 22 = -4*f - 2*b, 5*f - 5*b = -10. Suppose -f*g + g = -18. Let t = 17 - g. What is the units digit of t?
8
Let n = 18 - 17. What is the units digit of (n - -1) + 0 + -1?
1
Let f(q) = q**3 - 12*q**2 - 14*q + 17. What is the units digit of f(13)?
4
Let u = 0 + 1. What is the units digit of ((-3)/3 - u) + 8?
6
Let z = 10 + -8. Suppose -77 + 25 = -z*g. What is the tens digit of g?
2
Suppose 5*q = i + 99, 2*q - 50 = 6*i - 3*i. Let k = q + -11. What is the units digit of k?
8
Suppose -2*x - 4 = 4*o, -2*o = 3*o + 15. What is the units digit of 1 - (2 - (x + -1))?
2
Let v(u) = -u + 11. Let t(x) = 3*x - 33. Let a(s) = -3*t(s) - 8*v(s). What is the units digit of a(9)?
2
Let t = -50 + 142. What is the tens digit of t?
9
Let k(s) = 4*s**3 + 3*s**2 - 8*s + 5. What is the tens digit of k(3)?
1
Let u(t) = 2*t - 6. Let c be u(4). Suppose -c*f + 57 = 1. What is the tens digit of f?
2
Let d(l) be the third derivative of l**5/60 + 5*l**4/24 - 2*l**2. What is the units digit of d(-6)?
6
Suppose p - 5*j + 27 = -p, p - 4 = -j. Let s be 1/(4/(-3) - p). What is the units digit of 3 + (-8 - s) - -4?
2
Suppose -3*y = -3, -3*y = 4*v - 39 + 4. Suppose 2*o = 3*o - v. What is the units digit of o?
8
Suppose 19 = 4*f + 3. Let r(l) = l**3 - 9*l**2 + 12*l - 4. Let d be r(8). Suppose -f*a + 4*h + d = -0*h, -4*h = -a + 1. What is the units digit of a?
9
Suppose -12 = 3*u + 6. Let t(z) = -z**2 - 7*z + 2. What is the units digit of t(u)?
8
Suppose 4*d - 56 = -i + 39, 0 = 2*i + 4*d - 202. What is the hundreds digit of i?
1
What is the units digit of -1*((-9)/(-3) - 63)?
0
Let j(r) be the second derivative of r**5/20 + 2*r**4/3 + r**3 - 3*r**2/2 - r. Let d be j(-6). Suppose k + d = 4*k. What is the units digit of k?
1
Let u(r) = r**3 + 3*r**2 - 6*r - 4. Let d be u(-4). Suppose a = 6*k - 5*k - 32, -2*a + 104 = d*k. What is the tens digit of k?
2
Suppose -m = -i + m + 4, 5*i + m - 31 = 0. Let c = 9 - i. Suppose 5*f + c = 8. What is the units digit of f?
1
What is the units digit of (-28)/(-35) - 161/(-5)?
3
Suppose -6*y + 10 = -y. Let r be ((-6)/y - -3)/1. Suppose r = -2*i - a + 30, -a + 13 - 88 = -5*i. What is the units digit of i?
5
Let z(p) = -3*p**3 - 6*p**2 - 3*p + 1. What is the units digit of z(-4)?
9
Let v(o) = 7*o**2 - 13*o - 20. Let k(x) = -10*x**2 + 19*x + 30. Let w(a) = -5*k(a) - 7*v(a). What is the units digit of w(8)?
2
Let w(m) = -m**3 + 10*m**2 + 10*m + 11. Let g be w(11). Suppose 0 = -0*s + s - 5, 3*x - 2*s - 68 = g. What is the tens digit of x?
2
Let y = 17 - 5. Suppose -4 = 4*v - y. Suppose 0 = a - 4*x - 13, -1 = v*a + 4*x - 15. What is the units digit of a?
9
What is the units digit of 1/2 + (1 - (-635)/10)?
5
Let z(w) = w**3 + 7*w**2 - 5*w + 3. What is the units digit of z(-7)?
8
Let w be ((-2)/(-4))/((-1)/(-4)). Suppose 5*v + 210 = 5*f, v = -3*f + 2*v + 130. Suppose 4*c - f = -w*s + 3*s, 0 = -2*s - 8. What is the tens digit of c?
1
Let m(v) = 33*v - 1. What is the tens digit of m(2)?
6
Suppose -p - 2*p = -15. Suppose 0 = p*s - 35 - 30. What is the units digit of s?
3
Let l(z) = -z**3 - 2*z**2 + 2*z + 2. Suppose -3*n - 20 = 2*n. What is the units digit of l(n)?
6
Suppose 0 = 2*o - 5*w + 15, -4 + 9 = 3*o - 2*w. Suppose o*s - m = -6*m + 60, -3*s + m + 52 = 0. What is the tens digit of s?
1
Suppose -2*p - 40 = 6. Let l = p + 36. What is the units digit of l?
3
Let n be ((-84)/(-18))/(2/(-12)). Let h = 52 + n. What is the units digit of h?
4
Suppose -11*b + 13*b = 80. What is the units digit of b?
0
Let z = -9 - -12. Let i(q) = -2*q + 1. Let y(n) = 2*n - 1. Let k(c) = -5*i(c) - 4*y(c). What is the units digit of k(z)?
5
Suppose 2*l - 5*t - 208 = 7, 0 = -l - 4*t + 75. Let k = -62 + l. What is the units digit of k?
3
Suppose -2*q + 3*l + 8 = 0, 5*l + 11 = 4*q - q. Let d = 1 - 5. Let t = q + d. What is the units digit of t?
3
Suppose -3*a + 10818 = -3*o, 8272 = 2*a - o + 1065. What is the units digit of 2/(-11) + a/143?
5
Let q(x) = x**3 - 11*x**2 + 11*x - 8. Let i be q(10). What is the units digit of (-2)/((-2)/3) - i?
1
Let z(a) be the third derivative of a**6/120 - 11*a**5/60 + 3*a**4/8 + 2*a**3/3 + a**2. Let x be z(10). Let p = 20 + x. What is the tens digit of p?
1
Let i = -6 + 5. Let d = i + -1. What is the units digit of d/9 + 168/27?
6
Let v(q) = 2*q - 4. Let y = 12 - 8. Let d be v(y). Suppose -4*j + d = -3*j. What is the units digit of j?
4
Let q(x) = 23*x. Let j be q(4). Let t = j + -47. What is the tens digit of t?
4
Suppose -4*b + 1560 = 4*x, -5*x + 0*b + 3*b = -1910. What is the units digit of x?
5
Let h(m) = -2*m - 6. Suppose -4*u - 24 + 0 = 0. What is the units digit of h(u)?
6
Suppose h - 1 = 24. Let d = h - -3. What is the tens digit of d?
2
Let b(n) = 3*n**2 - 2*n**2 - 4*n - 2*n**2 + 3. Let q be b(-5). What is the units digit of q + 6 +