- 10. What is the units digit of f(d)?
5
Let g(r) = -2*r + 25. What is the units digit of g(-12)?
9
Suppose t + 102 = 4*g + 449, -20 = 5*g. What is the hundreds digit of t?
3
Let u(t) = t**3 + 7*t**2 - 2*t - 9. Let w be u(-7). Suppose -3*q - 2*q - w = 0. Let m = 10 - q. What is the units digit of m?
1
Suppose 3*j - 25 - 11 = 0. Let y = j - 7. Suppose -16 = -2*o + 5*w, o + 5*w = -2 - y. What is the units digit of o?
3
Let y = 7 + 15. Suppose -24 = -2*z + 5*v, 3*v - y = -4*z - 0*v. What is the units digit of z?
7
Let w(c) = -c**2 - 12*c + 13. Let f be w(-13). Suppose -3*s + 2*s + 15 = f. What is the units digit of s?
5
Let d(c) = -c**3 - 6*c**2 - 2*c - 9. Let u be d(-6). Suppose -n + 7 = a - 7, -u*n = -3. Suppose 0 = 2*t - t - a. What is the tens digit of t?
1
Suppose 2*x + 10 + 1 = n, 3*x - 11 = -4*n. What is the units digit of x/(6/(-2)) + 27?
8
Suppose -2*t - 2*v = -64, 3*t - 2*v = 7*t - 132. What is the tens digit of t?
3
Suppose -181 = p - 3*p - 5*g, 0 = -p - 2*g + 93. What is the hundreds digit of p?
1
Let d(z) = 2*z - 8. Let b be d(6). Let k(l) = -l**2 + 6*l - 4. What is the units digit of k(b)?
4
Let i(k) = 2*k**2 - 17*k + 15. What is the units digit of i(10)?
5
Let q = 20 + -18. Suppose 3*v = -q*v + 85. What is the tens digit of v?
1
Suppose -3*n = -0*n - 78. What is the tens digit of n?
2
Let n(q) = q**2 + 5*q + 7. Suppose 20 = -0*m - 5*m. What is the units digit of n(m)?
3
Let z = 15 - 8. Suppose z = p - 0*p. What is the units digit of p?
7
Let l be (3 - 0) + -1 + 0. Suppose l*i + 5 = 4*w - 33, 0 = w + i - 8. What is the units digit of w?
9
Let m = -26 + 53. Suppose -m = 4*x - 7*x. What is the units digit of x?
9
Suppose 0 = p - 2 - 1. Let z(o) = 3 - p*o - 4 + 4*o - 2. What is the units digit of z(5)?
2
Suppose 10*t = 3*t + 1806. What is the units digit of t?
8
Suppose j - 28 = 27. What is the units digit of j?
5
What is the units digit of 44/8*(-4)/(-1)?
2
Suppose 4*n - 233 + 97 = 0. What is the tens digit of n?
3
Suppose 3*t = -5*n + 2*t + 42, 6 = 3*t. Let g(i) = 3*i - 4. What is the units digit of g(n)?
0
Let h be (-14)/(-49) - 136/(-14). Suppose 11 = l - h. What is the units digit of l?
1
Let g = -67 - -134. What is the units digit of g?
7
Let z be ((-1)/2)/(2/(-8)). Suppose z*s + s = 0. Suppose 5*v - 1 + s = 2*m, 2*m = -5*v + 9. What is the units digit of v?
1
Suppose -344 - 328 = 4*q. Let a be (1 - -1) + q/(-3). Suppose 2*w - a = -4*p, -2*p = -4*p + 5*w + 47. What is the units digit of p?
6
Let z(a) be the third derivative of 1/20*a**5 - 1/8*a**4 - 2/3*a**3 - 3*a**2 + 0 + 0*a. What is the tens digit of z(3)?
1
Suppose -6*j = -2*j. Suppose 3*z - 4*n - 2 - 30 = j, -2*z + 18 = -2*n. Suppose 37 = 3*r - z*u + 3, -4*u - 28 = -2*r. What is the units digit of r?
6
Suppose -a - 2*p = -3*a + 34, -3*a = -4*p - 47. What is the units digit of a?
1
Let u = 16 - 14. Suppose 5*z - 3*x - 63 = 0, x - 26 = -u*z + 2*x. What is the units digit of z?
5
Suppose -2*y + 6*y - 12 = 0. Suppose -y*q - 51 = -j + 2*q, 0 = 4*j - q - 109. What is the units digit of j?
6
Suppose -1 = -2*j + 3. Suppose j*a - 6 = -5*l - 2, -2*a + 4 = -3*l. Suppose -5*o = a*r - 79, -o + 4 = -3*r - 5. What is the units digit of o?
5
Let u(b) = -3*b - 5. What is the tens digit of u(-6)?
1
Suppose 142 + 293 = 3*c. What is the tens digit of c?
4
Let s(m) = -4*m - 37. What is the units digit of s(-10)?
3
Let u(o) = o**2 + 3*o - 3. Let w(j) = -j**3 - 3*j**2 + 4*j - 1. Let a be w(-4). Let m be (1 - 0)*(a + -4). What is the units digit of u(m)?
7
Let h(o) = -o**2 + 9*o + 9. What is the tens digit of h(8)?
1
Let o = -33 + 22. What is the units digit of ((-12)/5)/(o/110)?
4
Let r(i) = 74*i + 1. Let k be r(1). Suppose v + k = 4*v. Suppose 3*x - v = 5. What is the tens digit of x?
1
Suppose -4*s - 18 = -410. What is the tens digit of s?
9
Suppose 2*t + 16 = -0*t + p, -24 = 2*t - 5*p. Let q(x) = -4*x - 9. Let o be q(t). Let g = o - 7. What is the units digit of g?
2
Suppose 0 = 3*g - 4*u - 21, -3*u - 12 = -4*g + 9. Suppose f - 5*d + 13 - 71 = 0, -g*f = 5*d - 114. What is the tens digit of f?
4
Suppose 4*w + 10 + 5 = -3*s, -3*w = -4*s + 30. Let h(x) = -x**2 - 8*x - 9. Let z be h(w). Suppose 0 = -6*o + z*o + 3. What is the units digit of o?
1
Let b = -103 + 174. What is the tens digit of b?
7
Suppose -4*y + 7 = -3*y. Suppose -n + 3 = 7, -y = -3*q + n. What is the units digit of (0 + q)*(4 + -3)?
1
Let j = 96 + 13. What is the tens digit of j?
0
Let u(m) = 77*m - 2. What is the tens digit of u(2)?
5
Let t(w) be the third derivative of w**4/6 - w**3 - 3*w**2. What is the units digit of t(5)?
4
Let g be (9 + 0 + -1)/2. Suppose r + 0*n = -3*n, 0 = -4*r + n + 52. Suppose -2*c = 0, -g*x - 3*c = c - r. What is the units digit of x?
3
Let h = -9 - -42. What is the tens digit of h?
3
Let n(d) be the third derivative of d**4/2 + 2*d**3/3 + 10*d**2. What is the tens digit of n(3)?
4
Let u be (2*-38)/((-1)/2). Suppose 0 = o + 4*o + 5*m - 150, 5*o = -3*m + u. What is the tens digit of o?
3
What is the units digit of -12*(3 - (-15)/(-3))?
4
Let w be 1 + -3 + 2 + 0. What is the units digit of (0 - w) + (3 - -8)?
1
Let u(i) = i**2 + 2*i + 4. Let r be u(0). What is the tens digit of 6*r + 11 + -11?
2
Let l = 298 - 110. What is the units digit of l?
8
Let s = 53 - 28. What is the tens digit of s?
2
Suppose 5*q = 2*q - 72. What is the units digit of -3*(q/(-9) - 3)?
1
Let l = -1 - -4. Suppose -4*u + 5*i + 0 = 4, -3*u = -4*i + 2. What is the units digit of (-4)/u + 1/l?
1
Suppose -39 = -s + 4*s. Let u = s + 25. What is the units digit of u?
2
Let p(r) = -r**3 + r**2 + 2*r - 3. Let w be p(2). Let z = 14 + w. What is the units digit of z?
1
Suppose 5*m + 141 = -f, -3*m - 86 = 2*f + 175. What is the units digit of ((-2)/(-1))/((-12)/f)?
1
Let h(z) = z**3 - z**2 - z + 1. Let c be h(0). Suppose 3*n = -4*v + 6 + 47, 4*v = -5*n + 59. Let o = v + c. What is the tens digit of o?
1
Suppose 2*d + 4*m = 58 + 68, -181 = -3*d - 4*m. Suppose 2*h - 5*r = 95, h - 3*r - r = d. What is the tens digit of h?
3
Let r(o) = 20*o + 13. What is the hundreds digit of r(6)?
1
Let z(d) = 22*d**2 - d. Let t be z(1). Suppose y = 1, 0*w = 4*w + y - t. Suppose w*q = 28 - 3. What is the units digit of q?
5
Suppose -5*k + 0 + 5 = 0. Suppose -2*c + 5 = -k. Suppose -5 = -2*a - c*a. What is the units digit of a?
1
Suppose -2*n - 11 = -485. What is the tens digit of n?
3
Let t = -7 + 5. Let u = t - 1. Let q = 12 + u. What is the units digit of q?
9
Suppose -64 - 239 = -3*v. What is the hundreds digit of v?
1
Suppose -4*l = 3*i - 1587, -2*i = -2*l + 151 + 653. What is the units digit of l?
9
Suppose 5*s - 41 = 139. Let q = s + -20. Let b = q - -3. What is the units digit of b?
9
Let d(f) = -f + 9. Let s = 9 - 6. Suppose -21 = -s*b + 3. What is the units digit of d(b)?
1
Suppose v - 5*q = 8, 2*v + 5*q + 14 = -15. What is the tens digit of 6/(-21) + (-114)/v?
1
Let q(b) = -11*b**2 + 24*b + 22. Let m(s) = -5*s**2 + 12*s + 11. Let i(o) = -13*m(o) + 6*q(o). What is the tens digit of i(-9)?
1
Let o(s) = 8*s - 4*s + 13*s. What is the tens digit of o(1)?
1
Suppose 3*z - 2*o = 6*z - 50, 5*z + 4*o = 80. What is the units digit of z?
0
Let f(v) = 3 + 0*v**2 + v**2 - 7*v + 4. Let l be f(6). Let q(b) = 5*b**2 - b + 1. What is the units digit of q(l)?
5
Suppose 0 = -2*l + 3*l - 25. What is the tens digit of l?
2
Let s = 0 + 2. Suppose r - 1 = 2*y, s*r - 3*y + 4 = 6*r. Suppose -r = h - 2. What is the units digit of h?
1
Let z(g) = 7*g + 10. Let f(m) = -6*m - 9. Let b(j) = 6*f(j) + 4*z(j). What is the units digit of b(-6)?
4
Suppose -2*z = 3*z - 4*t - 1011, -4*z = -2*t - 804. What is the hundreds digit of z?
1
Let v(c) = -4*c + 9. What is the tens digit of v(-13)?
6
Suppose -4*x - 3*i = 12 - 137, i - 90 = -3*x. Suppose x = -4*k + j, -k = k + 5*j - 13. What is the units digit of (8/k)/((-2)/3)?
2
Let r(i) = -i + 14. Let w(m) = -1. Let k(d) = r(d) + 6*w(d). Let t be k(9). Let l = t + 4. What is the units digit of l?
3
What is the units digit of -36*(-40)/12 + 2?
2
Let q(s) = 85*s**2 + 3*s + 2. Let c be q(-2). Suppose -2*v = 5*v - c. What is the units digit of v?
8
Suppose -42*w = -40*w - 322. What is the tens digit of w?
6
Suppose -5*p - 3*b = -25, -4*p + 15 = -b - 5. Let h = 5 - p. Suppose -2*t + 3*t - 6 = h. What is the units digit of t?
6
Let m(b) = -b**2 + 3*b + 