04. What is the units digit of r?
2
Suppose 3*k - 60 = 4*m + k, -m - 2*k - 25 = 0. Suppose -2*p + 2*f = -42, 4*p - 2*p + 3*f - 67 = 0. Let u = p + m. What is the units digit of u?
9
Let r(f) = 52*f + 16. What is the hundreds digit of r(2)?
1
Suppose 7*q = 2*q - 10. What is the units digit of (1 - -6) + (q - 1)?
4
Let a = 3 + -2. What is the units digit of 1/2*8/a?
4
Suppose -3*w = -4*s + 3, -6*w - 4*s + 27 = -w. Suppose 26 = 3*m - 6*m - 4*c, w*c = 5*m + 53. Let v = m - -20. What is the tens digit of v?
1
What is the units digit of (12/(-7))/(12/(-42))?
6
Let y(s) = -s + 6. Let n(q) = -2*q + 13. Let g(f) = 3*n(f) - 7*y(f). Let l be g(3). Suppose u - 2*u + 6 = l. What is the units digit of u?
6
Let f(m) be the second derivative of 2*m + 0 + 1/12*m**4 - 3/2*m**2 + 0*m**3. What is the units digit of f(-3)?
6
Suppose -3*n + 10 = 2*x - 34, 0 = -3*n + x + 50. What is the units digit of n?
6
Let s(i) = -i**3 - 13*i**2 - 23*i + 5. What is the tens digit of s(-11)?
1
Suppose -j = -2*i + 42, 0 = -3*i + 3*j + 66. Let l = i + -6. What is the units digit of l?
4
What is the tens digit of 70/6*(32 - 11)?
4
Let v = 12 - 7. Suppose -v*g + 34 - 4 = 0. Let a = -4 + g. What is the units digit of a?
2
Suppose 0 = 2*c + 17 + 11. Let y = -4 - c. What is the tens digit of y?
1
Suppose 4*j - 4*g = 360, 2*j - g - 3*g - 186 = 0. What is the tens digit of j?
8
What is the tens digit of 2*-2 - 285/(-3 - 2)?
5
Let p(g) = g**3 - 10*g**2 - 12*g + 7. What is the hundreds digit of p(12)?
1
Suppose -5*g + g + 28 = 0. What is the units digit of g?
7
Let j = 1 - -8. What is the units digit of j?
9
Let u = -29 + 12. Let r = u - -30. What is the units digit of r?
3
Suppose 6*b + 3*o = b + 459, 5*b - 3*o - 441 = 0. Suppose -x = 2*x - b. What is the units digit of x?
0
Let t be ((-8)/(-2) - 0)*2. Suppose 3*i + t = 44. What is the tens digit of i?
1
What is the units digit of (-10 - -6) + 1*85?
1
Let f be 1 + 2/(1 + 1). Suppose 4*g + 19 = 3*k, -5*g + 2*g + 17 = 4*k. Let z = f - g. What is the units digit of z?
3
Let m = 5 - 6. What is the units digit of ((-186)/12)/(m/2)?
1
Suppose 2*n - 5*n - 153 = -b, -3*b = 4*n - 511. Suppose -2*h - 86 = y - 4*y, -h = 5*y - b. What is the tens digit of y?
3
What is the tens digit of (18/4)/(77/56 - 1)?
1
Suppose -189 = -4*s + 51. What is the tens digit of s?
6
Let c(f) = f - 1. What is the units digit of c(7)?
6
Suppose 4*g + 61 = -q, -4*g = 5*q - q + 64. Let c = -8 - g. What is the units digit of c?
7
Let j(t) = -t + 6. Let v be j(6). Suppose v = 2*m - 4*w - 64, -4*w = -4*m + 106 + 10. What is the tens digit of m?
2
What is the units digit of 2*(-2 + (-145)/(-10))?
5
Let h(p) = -p**2 + 6*p + 3. Let r be h(3). Let i be r/(-16) + 30/8. Suppose i*o - 60 = -o. What is the tens digit of o?
1
Let h = 102 + -57. Suppose 10 = -s + h. What is the units digit of s?
5
Suppose -8 - 1 = -3*v. Suppose -v*q = -2*q + 3. What is the tens digit of (2 + q)/((-4)/44)?
1
Let i(t) = 2*t - 1. Let x be i(4). Suppose -4*a + 0*a = -k - x, 43 = 3*k + 4*a. What is the units digit of k?
9
Suppose -2*q - 3*h = -4*q + 188, q = 5*h + 80. What is the units digit of q?
0
Let f(a) = a**3 + 2*a**2 - 5*a - 4. Let i be 2/((-3)/5 + 1). Suppose -h - p = -i*h - 13, -4*h = 5*p + 7. What is the units digit of f(h)?
2
Let z = 8 - -7. Let d = 4 + z. What is the units digit of d?
9
Suppose m = 2*n - 3*m - 6, -4*m + 6 = 2*n. What is the units digit of n?
3
Let w be 42/8 + 1/(-4). Suppose o - w = -4. What is the units digit of o?
1
Let m(a) = -142*a - 3. What is the units digit of m(-2)?
1
Suppose -l + 17 = 4*j, 148 = 5*l - 2*j + j. What is the tens digit of l?
2
Let r = -149 + 242. What is the units digit of r?
3
Let j = -14 + 14. Let f(k) = -k**3 - 5*k**2 + 7*k + 7. Let q be f(-6). Let u = q - j. What is the units digit of u?
1
What is the units digit of (2/(24/(-99)))/(2/(-24))?
9
Let n = -29 + 34. What is the units digit of n?
5
Let d(k) = -4*k + 9. Let a be d(-7). Let z = -22 + a. What is the tens digit of z?
1
Let h(c) = 32*c - 47. What is the units digit of h(7)?
7
Let l be 0 - ((-2)/(-2) - 1). Suppose 2*g - 5 = 7. Let z = l + g. What is the units digit of z?
6
Suppose 2*s - 53 = 81. Let m = 115 - s. What is the units digit of m?
8
Let p(g) = -2*g + 2 - g**2 - 8*g - 1. What is the tens digit of p(-7)?
2
Let w(u) = -u**2 + 8*u - 4. Let f be w(7). Suppose f*q = 4 + 5. Suppose 3 = q*j - 21. What is the units digit of j?
8
Suppose -10 = -4*j + 26. Suppose j = 3*c, 27 = 5*y + 3*c - 4*c. Suppose -2*z + 3*g = -4*z - y, z - 23 = 5*g. What is the units digit of z?
3
Let x be 1 + 20/6*-3. Let d = x - -18. What is the units digit of d?
9
Let m(p) = -p**3 - 3*p**2 + 3*p. Let s be 4/(-5)*(0 + 5). What is the units digit of m(s)?
4
Let j = -4 - 2. Let z be j/(-4) + 1/2. What is the units digit of (2/(-5))/(z/(-40))?
8
Suppose -2*p + b = -90, 63 = p + b - 6*b. What is the tens digit of p?
4
Suppose -3*p - 5*o + 87 = 0, 5*p = 2*o - 4 + 149. Let x = p - 14. Suppose -5*q + 5 = -x. What is the units digit of q?
4
What is the tens digit of 30/4*(-40)/(-15)?
2
Suppose -4*f + 2 = 3*u, 0 = f + 4*f - u - 12. Suppose 0*t = 4*v + f*t - 84, -3*t + 6 = 0. What is the units digit of v?
0
Let q = 11 + -8. What is the units digit of q?
3
Let h be (-4)/(8/(-6)) - 1. What is the units digit of h/(-2)*-1*2?
2
Suppose -3*z + 6*z = 207. Suppose c = 3*w + 19, -5*c + 2*w + 0*w + z = 0. What is the tens digit of c?
1
Suppose 9 = 8*h - 167. What is the tens digit of h?
2
Let o(l) = 2*l + 6. What is the units digit of o(12)?
0
Let b(z) = z**3 + 10*z**2 + 9*z + 6. Let s(k) be the second derivative of 9*k**5/20 - 4*k. Let y be s(-1). What is the units digit of b(y)?
6
Let v(h) = h + 7. Let o be v(-6). Suppose -6*i + 5 = -i. Let s = o + i. What is the units digit of s?
2
Let m be 21/2 - (-1)/2. Let f = m + -26. Let d = f - -23. What is the units digit of d?
8
Suppose -s = -5 + 3. Suppose -4*b + 0*m + 109 = -5*m, -s*m = -4*b + 106. Suppose 3*p = b - 2. What is the units digit of p?
8
Let w = 51 - 26. What is the units digit of w?
5
Let u = 116 - 80. What is the units digit of u?
6
Let t = -212 + 319. What is the units digit of t?
7
Let c(o) = o**2 + 7*o - 2. Suppose -2*d + 3*s = -0*d - 20, 0 = 3*d - s - 37. Let z = d + -21. What is the units digit of c(z)?
6
Let i = 12 - 6. Suppose -3*u - 6 = -g, 0 = -i*g + g - 4*u + 30. What is the units digit of g?
6
Let r = 4 - 1. Let t(m) = r + 9 + 2*m - m. What is the units digit of t(-5)?
7
Let l(w) = 5*w**2 + 9*w + 2. Let b(k) = 11*k**2 + 18*k + 4. Let z(d) = -6*b(d) + 13*l(d). What is the units digit of z(5)?
2
Let c be -3*((-15)/(-9) - 2). Let d = 9 - c. What is the units digit of d?
8
Let u(j) = 5*j**3 + 3*j**2 - 2*j - 2. Let z be u(2). Suppose -2*l - z = -4*l. What is the tens digit of l?
2
Let u(q) = q**3 + 9*q**2 + 2*q - 1. What is the units digit of u(-6)?
5
Let u = -6 - -7. What is the units digit of (u - 0)*2*7?
4
Let n = 0 - -1. Suppose -7*w - 15 = 5*t - 2*w, -2*t + w = 21. What is the units digit of 1 - (t - (-1 + n))?
9
What is the tens digit of 150/(-20)*(-20)/3?
5
Let q(k) = 11*k**2 + 3*k + 3. What is the units digit of q(-2)?
1
Suppose 3*y - 24 = -0*y. Let q = y - 7. What is the units digit of q?
1
Let c(i) = i**2 + 18*i + 23. What is the units digit of c(-18)?
3
Suppose -3*v = 5*k - 6*v - 211, -2*k + 97 = 3*v. What is the units digit of k?
4
Let f = -25 - -51. What is the tens digit of f?
2
Let w(q) = 3*q**2 + 3*q. Let c be w(-3). Let r = c + -36. Let t = -6 - r. What is the tens digit of t?
1
Let a(m) = m - 3. Suppose -3*i = t + 6, -t - 4*t + 27 = -4*i. Suppose 5*z = t*z + 16. What is the units digit of a(z)?
5
Let k = -21 - -175. What is the units digit of k?
4
Let u be ((-8)/10)/((-10)/25). Suppose -3*r - 4*d = -2*d - 35, 0 = -u*d + 8. What is the units digit of r?
9
Suppose -3*b - 3*c = 2*c + 470, 2*b - 5*c + 355 = 0. What is the units digit of ((-4)/5)/(6/b)?
2
Let u(l) = l**3 - 2*l**2 + 2*l - 3. Let w be u(2). Suppose -2*z + w + 7 = 0. What is the units digit of 18/z - (-3)/(-6)?
4
Suppose -21 = -k + 12. What is the tens digit of k?
3
Let a = 1 + 31. What is the tens digit of a?
3
Suppose -18 = 3*p - 60. What is the units digit of p/7 + (11 - 1)?
2
Suppose 0*c + 3*p = 2*c - 588, -2*p = -c + 294. What is the hundreds digit of c?
2
Suppose -4*u = -5*g + 36, 5*g - u -