at is the units digit of q(18)?
3
Suppose 0 = 5*w + 3 - 18. Suppose 6*a = w*a - 24. What is the units digit of (-8)/3*12/a?
4
Let f be 1/(-2 + 1) + 0. Let m be -54*2*f/4. Suppose -4*y = -y - m. What is the units digit of y?
9
Let a(y) = 5*y**3 + 10*y**2 - 7*y - 5. Let u(d) = -6*d**3 - 11*d**2 + 7*d + 4. Let r(w) = -5*a(w) - 4*u(w). What is the units digit of r(-7)?
9
Suppose -3*a = a - 60. What is the units digit of (a/(-6) - -3)*8?
4
Let z = 26 + 8. What is the tens digit of z?
3
Let v = 7 - 4. Suppose -v*k + 27 = -3*u + 5*u, 9 = 3*u. What is the units digit of k?
7
Let r(h) = h**2 - 5*h - 6. What is the units digit of r(-5)?
4
Let a(q) = 5*q - q + q - 6. What is the units digit of a(4)?
4
Let w(d) = -d**3 + 4*d**2 + 5*d. Let s be w(5). Suppose -2*r = -s - 12. Suppose 20 - r = q. What is the tens digit of q?
1
Suppose -5*x = 2*x - 399. What is the tens digit of x?
5
Suppose 5*g - 30 = 2*i, -4*i - 53 = 2*g - 17. Let d(p) = 4*p - 4*p + 12 - p. What is the tens digit of d(i)?
2
Let r = -15 - -37. What is the units digit of r?
2
Let k = 2 - 0. Suppose k*s - 5*m + 21 = -0*s, -3*m + 13 = -s. What is the units digit of s?
2
Let h be 89/2 + (-1)/(-2). Suppose -4*p = -p - h. What is the tens digit of p?
1
Let f(w) = 14*w + 2. What is the tens digit of f(11)?
5
Let c(p) be the first derivative of p**3/3 + 2. Let f be c(2). Suppose -f*d = 32 - 88. What is the units digit of d?
4
Suppose 5*z + 31 = 4*k - 0*k, -5*k - 2*z = -47. Suppose -7 = -l + k. What is the tens digit of l?
1
Suppose -4*k + 3*b = -139, 0 = 3*k + 5*b - 12 - 56. What is the units digit of k?
1
Let o be (3/6)/((-1)/2). Let a(d) = 10*d**2 + 2*d + 1. Let j be a(o). Let x(k) = k**3 - 8*k**2 - 8*k - 8. What is the units digit of x(j)?
1
Suppose -5*j + 105 = -85. What is the units digit of j?
8
Let n = 31 + -8. What is the tens digit of n?
2
Let m(c) = -6*c + 46. What is the units digit of m(-15)?
6
Suppose 3*u - f = 8, -2*f + 24 = 2*u + 2*u. Suppose u*p = 5 - 1. Suppose -2*x + p = -1. What is the units digit of x?
1
Let y = -16 + 33. Suppose 0*r + r - 5*z - y = 0, 2*z = 5*r - 131. Suppose -5*w + 2*w + r = 0. What is the units digit of w?
9
Let m(x) = x**2 - 2*x - 10. Let l be m(8). Suppose 6 = 2*c + 5*h, -4*h - l = -5*c - 5*h. What is the units digit of c?
8
Suppose -l + 4*y = -4*l + 40, -2*y = 5*l - 48. Let b(n) = -n**2 + 8*n - 4. Let f be b(l). Let x = f + 5. What is the units digit of x?
1
Suppose -2*u - 14*u + 4672 = 0. What is the units digit of u?
2
Let a(b) = 21*b + 28. What is the hundreds digit of a(8)?
1
Suppose 2*k = -4 - 4. What is the units digit of 2 + 1 + -1 - k?
6
Suppose -2*a = a - 12. Suppose 5*b - 2*j + 158 = 0, j + 3*j + 74 = -3*b. What is the units digit of (-1)/(-2) - b/a?
8
Let d(j) = -j + 4. Let a be d(4). Suppose a*s + 5*s - 145 = 0. What is the units digit of s?
9
Let w(d) = -d - 1. Let q be w(-3). Let i(j) = j**3 + 6*j**2 - 5*j - 9. Let y be i(-6). Suppose 0 = q*k + k - y. What is the units digit of k?
7
Let u(q) be the second derivative of 2*q**3/3 - 7*q**2/2 - 7*q. What is the units digit of u(5)?
3
Suppose 4*u - 100 = -0*u - 4*p, -3*u - 2*p = -73. What is the tens digit of u?
2
Let k = 1 - 3. Let x be (k/6)/(2/(-6)). What is the units digit of ((-57)/3 + x)/(-2)?
9
Let q be 1 + (-2 - (-1 - 0)). Suppose -2*n = -5*v - 39, -18 = -4*n - 2*v - q*v. What is the units digit of n?
7
Let d be 157/2*(-16 + 12). What is the tens digit of d/(-10) - 3/(-5)?
3
Suppose 0 = -0*h + h - 72. What is the units digit of h?
2
Suppose 0 = -4*m + 7 - 23, -2*x = 4*m + 46. Let b = x + 28. What is the units digit of b?
3
Let a = -216 + 331. What is the tens digit of a?
1
Let w(p) = -2*p + 7. Let z be w(-6). Let x = 27 - z. What is the units digit of x?
8
Suppose -8 = -6*h + 2*h. What is the tens digit of -38*h/(-4)*2?
3
Let i be (-4)/18 - (-29)/9. Suppose -u + 3*v = -27, 25 = 3*u - i*v - 26. What is the tens digit of u?
1
Let k be (21/6 - 3)*58. Suppose 4*a - 2*w - 24 = -w, -3*a + k = 2*w. What is the units digit of a?
7
Suppose 184 = 3*k - 2*r, 4*k + 3*r - 9 = 259. What is the tens digit of k?
6
Suppose 2*s + 5*n + 62 = 0, -2*n + 0*n = -4*s - 124. Let x = 54 + s. What is the units digit of x?
3
Suppose 0 = -0*x + 2*x + 4*d - 20, -x + 17 = -5*d. Let u = x + -6. What is the units digit of u?
6
Let p = 4 + -1. Let q be (p/2)/((-5)/10). Let z = 11 + q. What is the units digit of z?
8
Suppose -11*v = -9*v - 14. Suppose -v*z + 3*z + 208 = 0. What is the tens digit of z?
5
Suppose -5*s - 2*h + 400 = -3*h, 5*h + 218 = 3*s. What is the tens digit of s?
8
What is the hundreds digit of -1 + 3 + 136/1?
1
Let b(y) = -y**3 - 3*y + 4. Let o be b(-3). Suppose 0*r + 5*r = o. What is the units digit of r?
8
Let c(p) = -p**3 - p**2 + 6*p. What is the tens digit of c(-5)?
7
Let l(m) = m**2 - 6*m + 7. Let b be l(6). Suppose 2*p + 3*w - 14 = 0, 3*w = -p - 0*w + b. What is the units digit of p?
7
Let c(k) = 97*k**2 + 3*k + 2. What is the units digit of c(-1)?
6
Let h(d) = -3*d**2 + 3*d + 5*d**2 + 5*d - d**3 - 7*d. Suppose 5*y = 3*c - 5, 4*y = c - 0 + 3. What is the units digit of h(y)?
2
Suppose -6*u + 3*u = -5*y + 32, 2*y + 12 = -5*u. Suppose -3*l = -y*a - 31, 6*a + 70 = 5*l + 3*a. Let p = 24 - l. What is the units digit of p?
7
Let h(v) = -v**3 + 5*v**2 + 4. What is the units digit of h(4)?
0
Let q = 2 - -1. Let k(f) = 2*f + 3. Let l(j) = j + 3. Let c(g) = 3*k(g) - 4*l(g). What is the units digit of c(q)?
3
Let i(y) = 8*y + 4 - 2*y**2 + 7*y**2 - 2*y**2. Let z be i(-5). Suppose -3*q + 0 = -z. What is the units digit of q?
3
Suppose 45 = -3*m - 33. Let g = 91 + m. Suppose -4*d = d - g. What is the tens digit of d?
1
Let l(p) = 70*p + 4. Let x(t) = 23*t + 1. Let y(h) = -2*l(h) + 7*x(h). What is the tens digit of y(1)?
2
What is the hundreds digit of ((-59)/2)/((-26)/260)?
2
Let d = -3 + 21. Suppose -5*v - i + 45 = i, d = 4*v - 2*i. What is the units digit of v?
7
Suppose 68 = -4*s + 8*s. What is the units digit of s?
7
Let q = 1 + -4. Let v = 7 + q. What is the units digit of v?
4
Let o = 6 - -4. Suppose -2*b + o = -b - k, 0 = k + 3. What is the units digit of b?
7
Let t = -1 + 6. Let d = t - -5. What is the units digit of d?
0
Let v(z) = 2*z**3 - 3*z**2 + 4*z - 2. Let n(w) = -w**2 + 3*w + 2. Let r be n(3). What is the units digit of v(r)?
0
Let u be 44/12 + (-2)/3. Suppose -u*j + 2 + 10 = 0. Suppose 0 = j*k - 3*y, y = 3*k - k - 2. What is the units digit of k?
3
Let c(a) = -4*a - 18. What is the units digit of c(-13)?
4
Let s = -62 - -150. Suppose x + 3*x = s. What is the units digit of 1/4 - x/(-8)?
3
Let a(o) = o + 3. Let r = -3 - 0. Let p be a(r). What is the units digit of 1 + (0 - p) + 0?
1
Let t be (-6)/(-24) + (-38)/(-8). Let u be -55*((-3)/(-5) + -1). Suppose -2*v = k - 23, -t*v + 4*k + u + 16 = 0. What is the units digit of v?
0
Let k be -1 - (-42)/(1 + -4). What is the units digit of (-22)/(-4) + k/(-10)?
7
Let a(z) = -z. Let g(r) = -r**2 - 6*r + 3. Let d(k) = 2*a(k) + g(k). What is the units digit of d(-8)?
3
Let p = -5 + 5. Suppose -4*c + 3*c = p. Suppose 0 = -c*u + u - 2. What is the units digit of u?
2
Let f = -8 + 8. Let m = f + 28. What is the units digit of m?
8
Suppose -14 = 4*g - 2, 75 = 3*l - 2*g. Let y = 11 - 23. Let m = y + l. What is the tens digit of m?
1
Suppose 576 = 4*q - 4*f, -75 - 178 = -2*q - 5*f. What is the hundreds digit of q?
1
Let k be 2/4 - (-25)/10. Suppose -v - k*m + m = -11, 4*m = 8. Suppose 4*q + 27 = x, -x + 2*q = 3*q - v. What is the units digit of x?
1
Suppose -x + 25 + 29 = 2*f, 5*f + 54 = x. What is the tens digit of x?
5
Suppose -2*c + 5*l = -23, 4*c = -4*l + 1 + 3. Suppose 0 = n + p - c, 5*p - 4 = -2*n + p. Suppose -g = -1 - n. What is the units digit of g?
7
Suppose 0 = -21*h + 18*h + 9. What is the units digit of h?
3
Let o = -3 - -16. Let t = o - 8. Suppose 4*w - 1 = -2*u + 9, -2*u - t*w = -7. What is the tens digit of u?
1
Suppose 5*g + 5 = -3*s + s, 3*s - g = -16. Let q(m) = m**2 + m - 5. Let d be q(s). Suppose 4*b - 9 = d. What is the units digit of b?
6
Let v = 15 - 18. What is the tens digit of 1/v + (-79)/(-3)?
2
Suppose 3*r - m + 18 = -4*m, -2 = r + 3*m. Let k be (-2)/r*-6*-8. What is the tens digit of ((-8)/6)/((-1)/k)?
1
Suppose -5*p + x + 27 = 0, -4*p + 3*x = -4 - 22. Suppose -90 + 20 = -5*i + p*u, 3*u - 30 = -5*i. What is the units digit of i?
9
