 - 1. What is the units digit of (h/m)/((-1)/(-2))?
1
Suppose -c - 7 = -32. Let z(k) = -23*k**2 + 1. Let t be z(-1). What is the units digit of (-5)/c - t/10?
2
Suppose 4*k = 3*v - 11, 0 = v + k + 4*k + 9. Suppose 4*w + y = -v + 2, 0 = 3*w + y. What is the units digit of w/(3/3) + 0?
1
Let x = 5 - 4. Suppose -14 = -g + n - x, g + n - 7 = 0. Let l = 18 - g. What is the units digit of l?
8
Let t(i) = i**3 - 3*i + 1. Let r be t(2). Suppose r*k = f + 24, 4*f = -3*k - f + 24. Suppose -c + k = -3. What is the units digit of c?
1
Let y = 15 - 11. Let a(h) = 2*h**2 - y*h + 0*h + h + 3. What is the units digit of a(2)?
5
Let y be 10/4*6/15. What is the tens digit of (46 - y)*(-6)/(-15)?
1
Let t(o) = -4 - 1 + 2 + 2 - 10*o. What is the tens digit of t(-2)?
1
Suppose q = -3*q. Suppose 27 = 5*r + 3*m, 17 = -q*r - r + 5*m. Let h(j) = 4*j - 3. What is the units digit of h(r)?
9
Let z = -2 - -4. Let t be 249/6 + 1/z. Suppose 4*u = 5*n + 21 + 30, -2*n - t = -4*u. What is the units digit of u?
9
Let a = 2 - 2. Suppose 0 = -a*d - d + 14. What is the tens digit of d?
1
Suppose -6*h = -3*h. Suppose h*n = -2*n + 12. Let i = n - 3. What is the units digit of i?
3
Suppose -33 + 161 = 4*f. What is the units digit of f?
2
Let i(s) = -2*s - s**2 - 2*s - s - 1. Let f be i(-6). Let x = f - -11. What is the units digit of x?
4
Let m be 6/(2 + 0) + -9. What is the units digit of 2*m*(-12)/9?
6
Suppose 5*v = -3*a - 20, 2*a = v - 0 - 9. Let n(p) = -2*p + 2*p**2 - 2*p**2 - p - 2 + p**3 + 5*p**2. What is the tens digit of n(a)?
1
Let u = -228 + 338. What is the tens digit of u?
1
Let b(k) = -k + 3. Let f be b(0). Suppose -4*y = -f*y - 15. What is the units digit of y?
5
Let x(q) = -q**2 - 5*q + 4. Let k be x(-5). Suppose 0*z = 2*z + k*o - 22, -5*z + 2*o = -19. What is the units digit of z?
5
Let t(o) = o**3 + o**2 + 1. Let u be t(-1). Let h(l) = 26*l - 1. What is the tens digit of h(u)?
2
Let z = -16 - -30. Let w = z + -6. What is the units digit of w?
8
Let a = -1 - -3. Suppose 2*m + a = 3*m. Suppose -5*c + 4*j = -75 + 23, 0 = m*c + j - 13. What is the units digit of c?
8
Let i(v) be the first derivative of v**4/6 - 3*v**3/2 + v**2/2 + 3. Let a(z) be the second derivative of i(z). What is the units digit of a(6)?
5
What is the tens digit of (-1 - -2) + 2*-2 + 18?
1
What is the tens digit of 1/(-4)*3*(-6 - 102)?
8
Suppose 0 + 4 = v. Let p be -1*(2 - v) + -5. What is the units digit of (p/(-2))/(6/32)?
8
Let z = 0 + 4. What is the units digit of (-2)/(-1)*(z - 0)?
8
Suppose 16 = -2*d + 2*v, 0 = -3*d - d - 3*v - 18. Let n be 17 - 14 - -1*11. Let q = d + n. What is the units digit of q?
8
Let l(a) = 5*a**2 - 3*a - 1. What is the units digit of l(-1)?
7
What is the units digit of (-39)/(-91) - (-536)/7?
7
Suppose 0*q - 15 = -d + 4*q, -3*q + 75 = 5*d. Let y = 27 - d. What is the tens digit of y?
1
Let x(o) = o**2 + o - 4. Let i(n) = n**2 - n - 3. Let b be i(3). What is the units digit of x(b)?
8
Suppose 63 = 3*n - 81. What is the tens digit of n?
4
Suppose 2*y - 5*y + 240 = 0. Let x be (-1)/(32/(-10) + 3). Suppose 4*b = -x*i + y, -4*b = i - 0*i - 80. What is the tens digit of b?
2
Let c(u) = -4*u + 22. Let o(a) = a - 7. Let f(h) = 5*c(h) + 16*o(h). Let l be f(-2). Suppose l*p = 8*p - 4. What is the units digit of p?
2
Let j(f) = 3*f. Let i be j(-8). What is the units digit of (i/(-9))/(4/6)?
4
Let g be ((-94)/3)/(1/(-3)). Let a = g + -187. What is the units digit of (-2)/(-8) - a/12?
8
Let l be (2/(-1) + 18)*-2. Let g be l/(-6) + (-10)/30. Suppose 2*s + 107 = -0*a + g*a, 3*s + 45 = 2*a. What is the tens digit of a?
2
What is the units digit of 1/((-5 + 3)/(-2))?
1
Let k = 84 + 205. What is the hundreds digit of k?
2
Let v(h) = -h - 6. Let p be v(-7). Suppose p - 5 = -4*u - 2*z, 5*z - 10 = -4*u. Suppose -3*b + 6*b + s - 14 = u, 0 = -5*s - 5. What is the units digit of b?
5
Let s(j) = -j**3 - 5*j**2 - 2*j + 5. Let x be s(-5). What is the units digit of 213/x - 1/5?
4
Suppose 2*s + 0*s + 5*q = -4, -3*s = -5*q - 44. Let g = 11 - s. Suppose a - 1 = 2*c - 5, -24 = -g*a - 3*c. What is the units digit of a?
4
Let t be 57/12 - (-2)/8. Let z = 13 - t. What is the units digit of z?
8
Let u be ((-4)/(-6))/(2/(-3)). What is the units digit of (u + 3)/(-2)*-1?
1
Let y(t) = t**2 + t - 2. What is the tens digit of y(5)?
2
Let i(o) = -2*o + 6. Let h(b) = 4*b + 22. Let s(f) = 3*f + 15. Let r(d) = 5*h(d) - 7*s(d). Let y(w) = 4*i(w) - 5*r(w). What is the units digit of y(-3)?
8
Let h = 34 + -8. What is the units digit of h?
6
Let t be (-6)/15 + (-72)/(-5). Suppose -38 = -4*l + t. What is the tens digit of l?
1
Let c(j) = -4 + j - j**3 - j**2 + 3 - 4. Let r be c(0). What is the units digit of (r/(-2))/(-5)*-2?
1
Suppose 5*u - 2*u + 3 = 0. What is the units digit of (18/45)/(u/(-40))?
6
Suppose 2*r - 33 = -2*a - 3*r, -a - r = -18. Suppose u = -4*n + 99, 5*u + 6 + a = 0. What is the units digit of n?
6
Suppose -10 - 30 = 2*v. What is the units digit of -34*(-4)/v*-5?
4
Let p be ((-6)/4)/(6/(-4)). What is the units digit of (-184)/(-12) - p/3?
5
Suppose -3*u + 27 = 3*b, 0 = 5*u + 5*b - 3*b - 39. Suppose -u - 18 = -5*m. Suppose 5*w = -3*n - m + 94, -w + n = -13. What is the tens digit of w?
1
Suppose -f + 0*f - 7 = 0. Let p(l) = -l**3 - 8*l**2 - 8*l - 3. What is the units digit of p(f)?
4
Let y(v) = 2*v**3 - 5*v**2 + 5*v + 4. What is the tens digit of y(4)?
7
Let u = 109 - 73. Suppose -5*d + 2*k = -u, -5*d - k - 12 = -54. Suppose a + d = 2*a. What is the units digit of a?
8
Let a = 45 + -17. What is the units digit of a?
8
Let u(h) = -4*h**2 - 5*h - 2. Let r(q) = -5*q**2 - 5*q - 2. Let s(f) = -3*r(f) + 4*u(f). Let j be s(-5). Let n = j - -13. What is the tens digit of n?
1
Let n(j) = j - 4. Let q(p) = 3*p - 6. Let s = -10 + 14. Let m be q(s). What is the units digit of n(m)?
2
Let g be 1*(-1 + 26*-1). Let f = g + 40. What is the tens digit of f?
1
Let i be (-20)/9 + (-6)/(-27). Let z = i - -3. Suppose 0 = r - z - 1. What is the units digit of r?
2
Suppose 8 = u - 4. Let j(s) = -s**2 - 5*s. Let q be j(-4). Suppose -4*r + 2*l + 36 = u, -2*l = q*r - 16. What is the units digit of r?
5
Let g = -2 + -3. What is the units digit of (-26)/(-4) + g/(-10)?
7
Suppose 0*u - u + 49 = 0. What is the units digit of u?
9
Let c = 25 + -19. What is the units digit of c?
6
Suppose -5*b + 6*d = d + 5, -3*b + d = -7. Suppose 0*q = -b*q + 24. What is the units digit of q?
6
Let g be 21/2*-2 - 2. Let t = g + 40. What is the tens digit of t?
1
Suppose -g = 0, -6*g - 3 = -j - 4*g. Suppose -5 = -j*z + 10. What is the units digit of z?
5
Suppose 3*i + 0 = 60. What is the tens digit of i?
2
Let s be (-3 - 2)/((-1)/(-2)). Let j = s + 2. Let d = -1 - j. What is the units digit of d?
7
Let x = -65 - -145. What is the units digit of x?
0
Suppose 0 = -4*f - 11 - 13. Let x(u) = -3*u - 1. What is the units digit of x(f)?
7
Suppose -3*x - 5*s = -x - 15, s = -3*x + 3. Let w = 2 + x. Suppose -36 = -w*f - f. What is the tens digit of f?
1
Let v(m) = m**2 + 4*m - 8. Let a be v(-6). Suppose -5*s = -a*s - 10. What is the tens digit of s?
1
Let z(x) = x**3 - 4*x**2 + 2*x - 5. Suppose 7*r - 20 = 3*r. What is the tens digit of z(r)?
3
Let a = 244 - 167. Suppose 0 = 5*w + b - a, -3*b + 78 = 5*w + 7. Suppose -w - 11 = -3*f. What is the units digit of f?
9
Let p(k) be the third derivative of -5*k**4/24 - k**3/6 + 2*k**2. What is the units digit of p(-1)?
4
Suppose -3*u + p + 781 = 0, -p + 25 = 4*p. What is the hundreds digit of u?
2
Suppose 4*n - 4*r = 228, 0*r + 4*r + 282 = 5*n. What is the units digit of n?
4
Let v be (-16 - -1)*(-18)/10. Suppose 0 = -z - 5*d + v, 4*z - 44 = -2*d - 2*d. Suppose -3*w + 3*q + 30 = 0, z*w = 3*w - q + 15. What is the units digit of w?
5
Let h be (-1)/(-4) + (-77)/(-28). What is the tens digit of 26 - ((-3)/1 + h)?
2
Let j(y) = -y**2 - 7*y - 4. Let r be j(-6). Suppose -17 = -r*a + 11. What is the tens digit of a?
1
Let m(d) = -d**3 + 5*d**2 - 4*d. Let k be m(3). Let t be -4 + (4 - (-4 + 0)). Suppose -t*r + k*r = 20. What is the units digit of r?
0
Suppose 2*l + 5*y - 51 = 0, -2 = -0*y + 2*y. What is the tens digit of l?
2
Suppose 5*x - 310 = 5*i, 4*i - 37 - 309 = -5*x. What is the units digit of x?
6
Suppose -x + 8 = -q - 4, -5*x - q = -54. What is the tens digit of x?
1
Let g = 471 - 294. What is the units digit of g?