 the units digit of c?
1
Let c be 1 + (1 - (1 - 0)). Let w = 6 - c. What is the units digit of w?
5
What is the units digit of ((-310)/20)/((-2)/4)?
1
Let v be (-2)/(-3 + (-4)/(-2)). Suppose v*j + 0*j - 56 = 0. What is the tens digit of j?
2
Suppose -5*q + 0*q = -85. Suppose -s + 9 = -q. What is the tens digit of s?
2
Let h = 55 + 55. What is the units digit of h?
0
Suppose -2*p + p - 4*i - 3 = 0, -75 = 4*p - 5*i. Let g = -11 - p. Suppose 10 = -5*d, 4*q + g*d = -0*d + 28. What is the units digit of q?
9
Let u = -68 - -155. What is the units digit of u?
7
Suppose -4*s - 3*z - 4 = -21, 2*z = -5*s + 16. Suppose 5 = s*g - 3. Suppose 0 = 2*n - g*q - 2, 3*n + 0*q = 2*q + 3. What is the units digit of n?
1
Suppose 0 = j + 3*d - 65, -3*j - 5*d - 38 = -233. Let y = j - 41. What is the units digit of y?
4
Let r(p) = p - 2. Let a(g) = g**2 + 11*g + 15. Let y be a(-10). Let m be r(y). Suppose -m*q - 2 = -5*q. What is the units digit of q?
1
Suppose -10 = -5*t - 5. What is the units digit of t?
1
Let z = 0 + 8. Suppose -3*s = -0*s - 15. Suppose s*b - 47 - z = 0. What is the tens digit of b?
1
Suppose 0 = w + 3*w - 100. Suppose 3*t + 4*p - 49 = 0, -2*t - w = -4*t + 5*p. Suppose 0 = 5*m + t, u = m + 2 + 4. What is the units digit of u?
3
Let a = 3 + -1. Suppose -1 + 11 = a*q. Suppose 3*l + 2*z = 76, 3*l + l - 113 = -q*z. What is the tens digit of l?
2
Let r = -6 + 96. Suppose 15 = -5*x + r. What is the units digit of x?
5
Let w(q) = -q**2 + q - 1. Let t(n) = -7*n**2 + 13*n - 2. Let a(y) = t(y) - 6*w(y). Let o be a(4). Suppose j + 3*j = o. What is the units digit of j?
4
Let r = 256 + -145. What is the tens digit of r?
1
Suppose -2*c + 33 + 3 = 0. Let p(g) = 2*g - 28. Let t be p(15). Suppose t*o - 5*o + c = 0. What is the units digit of o?
6
Let h be (20/6)/(4/(-54)). Let c = 65 + h. What is the tens digit of c?
2
Suppose 4*a + 30 - 698 = 0. What is the tens digit of a?
6
Suppose -5*s + 93 + 137 = 0. What is the units digit of s?
6
Let y(w) be the third derivative of w**5/60 + w**4/2 + 8*w**3/3 - 3*w**2. Let d be y(-11). Suppose 80 = d*f - 0*f. What is the tens digit of f?
1
Let s = -2 - -5. Suppose s*o + 5*v + 23 = 0, -2*o + 14 = -4*v - 0*v. Let p(d) = d**2 + 1. What is the units digit of p(o)?
2
Let j(p) = -20*p - 19. What is the hundreds digit of j(-9)?
1
Suppose -t - 4*t + 15 = 0. What is the tens digit of 16 + (4 - (-1 + t))?
1
Let n = -5 - -12. What is the units digit of n?
7
What is the units digit of (8/(-12))/(12/(-18))?
1
Suppose 0*h - 5*g - 215 = -5*h, 5*g - 31 = -h. What is the tens digit of h?
4
Suppose -k - 2*j + 47 = 0, k - 3*j + 2 - 54 = 0. What is the tens digit of k?
4
Let p be (-4)/(-2) - (11 + -1). Let s be (-1 + p)*5/(-15). Suppose 0 = 3*x - k - 28, -2 = 5*k + s. What is the units digit of x?
9
Let d(g) = g**2 - 4*g - 1. What is the units digit of d(9)?
4
Let z be (4/6)/((-4)/6). Let t be (4 - (-2 - -3)) + z. Let o(x) = x**3 + x - 2. What is the units digit of o(t)?
8
Suppose -3*k + 1 = -8. Let y be -10*3/k*-1. Suppose -5*t + y*t - 30 = 0. What is the units digit of t?
6
Let m(g) be the first derivative of g**5/60 + 5*g**4/24 - 5*g**3/3 + g**2/2 + 3. Let n(d) be the second derivative of m(d). What is the units digit of n(-7)?
4
Let v(u) = 24*u + 10. What is the units digit of v(2)?
8
Let j(c) = c**3 + 8*c**2 - 10*c - 9. Let h be j(-6). Suppose -g - f = g - 82, 0 = 3*g + f - h. What is the tens digit of g?
4
What is the units digit of (-30)/(-9)*129/2?
5
Let g(m) = -m**3 + m**2 + m - 1. Let c be g(1). Let b = c - -7. What is the units digit of b?
7
Let q(a) = a**2 - 6*a - 7. Let o be q(6). Let x be 3 - (-6)/(-3) - o. What is the units digit of (-15)/4*x/(-3)?
0
Let u(m) = 6*m + m + 3*m + 0*m - 1. What is the units digit of u(1)?
9
Suppose -4*x + 12 = -x. Let d be ((-9)/(-6))/(3/x). Suppose -d*f + 27 = f. What is the units digit of f?
9
Let t = -6 + 7. Let k be 0 - -2 - (0 + -2). Let b = k - t. What is the units digit of b?
3
Suppose -1 = 2*n - 3*f, -4*n = -8*f + 3*f - 1. Suppose -2*q = -5*q - 4*a + 73, -139 = -n*q + 3*a. What is the tens digit of q?
3
Suppose -2*y + 218 = 4*m - 446, 3*y = -2*m + 332. What is the hundreds digit of m?
1
Suppose 5*b = 2*b + 18. Suppose 0 = -3*d - 3*t - b, -2*d - 2 = 4*t. Let p(c) = -c - 2. What is the units digit of p(d)?
1
Let v be (-2 - 4/(-3))*-12. Let d = v + -5. What is the units digit of d?
3
Suppose -2*r = -z, -5*r + 5*z - 4*z + 6 = 0. Suppose r*l = -2*l + 24. Suppose 0*x = -3*x + l. What is the units digit of x?
2
Let t(r) be the second derivative of r**4/6 + r**3/2 - 3*r**2/2 + 3*r. What is the units digit of t(-3)?
6
Let x = -5 + 2. Let a = -1 - x. What is the units digit of a - 2 - 1*-3?
3
Suppose 5*o - 14 = 26. What is the units digit of o?
8
Suppose 423 = 3*m - 5*b, 4*b + 230 + 193 = 3*m. What is the units digit of m?
1
Let c be ((-8)/(-20))/(1/5). Suppose -c*y - 33 = -5*x - 3*y, -5*x + 5*y + 45 = 0. What is the units digit of x?
7
Suppose t + 21 = 2*t. What is the tens digit of t?
2
Suppose 0 = -3*o - 6 - 0. Let i = 17 + o. What is the units digit of i?
5
Let c = 8 - 6. Suppose 0 = z + c*x - 2, -z + 2*z = -5*x - 1. What is the units digit of ((-1)/2)/(z/(-8))?
1
What is the hundreds digit of 531*(1 + 5/(-30)*4)?
1
Suppose 0 = -4*x + 8*x - 300. What is the tens digit of x?
7
Let x(f) = -f - 2. Let q be x(-5). Suppose -1 = -k - 4*t, -2*k = -4*k - q*t + 17. What is the units digit of k?
3
Let q = 23 + 9. What is the tens digit of q?
3
Suppose 0 = -q - 4, -3*q - 13 - 3 = -4*p. Let v be -4 + 2 + 5/p. Suppose 0*n - v*n + 70 = 5*r, 2*r + 3*n = 37. What is the units digit of r?
1
Let o(d) = d - 1. Let c be o(1). Suppose 2*k - 32 - 4 = c. What is the units digit of k?
8
Suppose -c - 4*c + 85 = 0. What is the tens digit of c?
1
Let a = 20 + -18. Suppose -a*g + 14 = -16. What is the tens digit of g?
1
Suppose 2*n + 1 = l + 10, 2*n + 3*l - 5 = 0. Suppose -3*g + 3*v + 18 = 0, -n*g - 3*v + 18 = -4*v. Suppose -g*f + 9 + 7 = 0. What is the units digit of f?
4
Suppose -5*v + 488 + 17 = 0. What is the units digit of v?
1
Suppose 5*w + 12 = -3*n, -n - 4*n = -5*w - 20. Suppose 0*t = -t + n. What is the units digit of (-1)/2*(-13 - t)?
7
Let l(p) be the first derivative of -p**4/4 - 5*p**3/3 - 3*p**2 - 5*p + 1. What is the tens digit of l(-5)?
2
Suppose 2*h = u - 25, -u - 111 = -6*u + 3*h. What is the tens digit of u?
2
Let b be -2 + 4 - (1 + -18). Let x = b - -2. What is the units digit of x?
1
Let w(v) be the second derivative of -5*v**3/6 + v**2 + 4*v. What is the units digit of w(-5)?
7
Suppose 3*f + 5*o + 0*o + 1 = 0, 5*f = -3*o + 9. Suppose 2*i + 4*u = -6 - 6, 0 = -i - f*u - 11. What is the units digit of i?
4
Let q(t) = t**3 + 2*t**2 - t + 3. Let d be q(-3). Let j be 0 + (d - -4) - -2. Suppose h - 37 = -4*o, 39 = -0*o + 3*o - j*h. What is the units digit of o?
0
Let f be 52/39*(-21)/2. What is the units digit of -7*(74/f - -1)?
0
Let x(j) = -j**2 - 5*j + 5. Let g be x(-5). Suppose -g*q = -18 - 7. What is the units digit of q?
5
Let n = 19 - 13. Let r(m) = m**2 - 5*m + 6. Let k be r(n). What is the units digit of 40/k*9/5?
6
Let o be 1/4*-2*-10. Suppose 0*k - 5*k + o*b = -35, 2*b = -4*k + 10. What is the units digit of ((-9)/1)/((-2)/k)?
8
Let u = -39 + 58. Let t = -10 + u. What is the units digit of t?
9
Let a(o) be the second derivative of -o**3/6 - o**2/2 + 2*o. Let p = 2 + -7. What is the units digit of a(p)?
4
What is the units digit of (-11)/(-66) - (-1703)/6 - 3?
1
Suppose 3*f = -15, 2*f = -3*u - 2*u + 1070. What is the units digit of u?
6
Suppose 675 = -d + 6*d. What is the hundreds digit of d?
1
What is the tens digit of 0 - -156 - (-7 - -7)/6?
5
Let t(a) = 2*a - 3. Let p be t(10). Suppose 4*o = 3*o + p. What is the tens digit of o?
1
Let h(o) = 20*o**2 + 4. Let u be h(-3). Suppose -d - 3*d + u = 0. What is the units digit of d?
6
What is the tens digit of (-3 + 1)*-70 + -1?
3
Let l(n) = 0*n + 2*n + 0*n. Let s be l(-12). What is the units digit of 22/8 + 18/s?
2
Suppose 6*f = f + 125. Suppose -4*x + 2 = -6. Suppose -x*i = 3*i - f. What is the units digit of i?
5
Let a(s) = -s**3 - 2*s**2 - 2*s - 1. Let r be a(-1). Suppose r = -5*u + 162 + 33. What is the units digit of u?
9
Let a(m) = -20*m + 4. What is the tens digit of a(-4)?
8
Let p = 7 + 3. Suppose 5*h - p = 15. What is the units digit of h?
