p, q*p + 3*a = 4*p - 4. Suppose 2*w = p*i - 10, 18 = -0*i + 3*i - 5*w. What is the units digit of i?
1
Suppose m - 2*m + 5 = 0. Suppose m*u = 17 + 43. Suppose 3*y + u = 5*a - y, -4*a = 5*y - 26. What is the units digit of a?
4
Let p(v) = -3*v. Let f(z) = 3*z - 1. Let q(s) = 4*f(s) + 3*p(s). Let m be q(3). Suppose 4*l = 0, -h + m*l + 6 - 2 = 0. What is the units digit of h?
4
What is the units digit of (316/2)/(2 + 0)?
9
Suppose c = -2*h + 33, 0*c - 4 = -4*c. What is the units digit of h?
6
What is the units digit of ((-33)/2)/((-24)/(-136))*-2?
7
Let q = -10 + 20. Let g be q + (-4)/6*-3. What is the tens digit of ((-11)/4)/((-3)/g)?
1
What is the units digit of -12 + 12 - 150/(-2)?
5
Let d(k) = k**2 - 9*k - 2. Let x(n) = 5. Let m(s) = 1. Let v(a) = -4*m(a) + x(a). Let o(f) = -d(f) - 6*v(f). What is the tens digit of o(6)?
1
Suppose 4*n + 7 = 2*t + 3, -2*t + 4 = -2*n. What is the units digit of n - -1 - (1 - 13)?
3
Suppose -2*p - 9 = -4*l - 1, l - p - 4 = 0. Let z = l + 11. Suppose 6 = -8*s + z*s. What is the units digit of s?
2
Suppose o + 245 = 2*o. What is the tens digit of o?
4
Let f be -9*(1 - 1/3). Let h be f/2*(-2)/(-6). Let t = h - -2. What is the units digit of t?
1
Let c(r) = -2*r + 1. What is the tens digit of c(-7)?
1
Suppose 2*u = 3*t + 3 - 1, -4*t - 5*u - 41 = 0. Let h = t - -7. Suppose p = h - 0. What is the units digit of p?
3
Let n = -16 - -46. Suppose 5*j + 4*p = 106, -2*p = j + p - n. What is the units digit of j?
8
Suppose -5*l + 5 - 15 = 0. Let r = l - 7. What is the units digit of (3/r)/((-3)/54)?
6
Suppose 3*c - c - 3*h - 16 = 0, 14 = 3*c - 2*h. What is the units digit of (-5)/(-5)*(36 - c)?
4
Let t(v) = -v**2 + 2*v + 2. Let c be t(3). Let z = c + 5. Suppose -x = z*p - 18 - 34, 5*x = -5*p + 80. What is the tens digit of p?
1
Suppose w = 2*d - 5*d + 23, 4*w + 2*d = 42. Let m = -4 + w. Suppose j + 3*j = 2*q - 22, -8 = -4*q - m*j. What is the units digit of q?
5
Let u = 56 + 4. Let f = u + -22. What is the tens digit of f?
3
Let t(g) = g - 3*g**2 + 4 + 4*g**2 + 4. What is the units digit of t(0)?
8
Let h be (1 - 2)/(2/(-6)). Suppose 0 = h*k - 0 - 24. What is the units digit of k?
8
Suppose -2*m - 3*m + 15 = 0, -588 = -5*t - m. What is the tens digit of t?
1
Suppose 0 = -4*o - 16, -3*o - 76 = -4*x - 5*o. What is the tens digit of x?
2
Let p be (1 - 1/(-1))/2. What is the units digit of ((-3)/p)/(12/(-8))?
2
Let j(r) be the second derivative of r**5/20 - r**4/6 + r**3/6 + r. Let m be j(2). Suppose 0 = -w + m*w - 4. What is the units digit of w?
4
Suppose 2*d = -v + 25, d - 5*d + 53 = -v. What is the tens digit of d?
1
Let f(w) = -w**3 - 15*w + 9 + w - 6 + 9 - 13*w**2. What is the tens digit of f(-12)?
3
Let d(a) = 37*a - 15. Let t be d(5). Suppose 0*v + 4*v = 5*o - 214, -t = -4*o + 2*v. What is the tens digit of o?
4
Let x(y) = -y + 9. What is the units digit of x(4)?
5
Let a(f) = -12*f - 5. What is the tens digit of a(-6)?
6
Let f(b) = 16*b - 7. What is the tens digit of f(8)?
2
Let s(a) = -6*a + 1. Let f be s(5). Let o = f - -61. Suppose -4*g + 6*w - 2*w + o = 0, g + 2*w - 11 = 0. What is the units digit of g?
9
Suppose -5*y + 464 + 138 = -f, 3*f = -4*y + 493. What is the hundreds digit of y?
1
Let q be (1 - -1) + (-7)/(-7). Suppose 0*c + 24 = 2*u + 2*c, -q*u - 2*c + 37 = 0. What is the tens digit of u?
1
Let u be (6/(-8))/((-1)/4). Suppose -25 + 73 = u*z. What is the units digit of z?
6
What is the tens digit of (14/(-3))/((-18)/81)?
2
Suppose -x - 2*x = 0. Suppose 0 = 4*m - 4, -9 = -x*r - 5*r - 4*m. What is the units digit of r?
1
Suppose l + 3*k = 0, -4*l + 5*k + 8 = -9. Suppose h - 96 = -l*h. What is the tens digit of h?
2
Let q = -56 - -98. What is the tens digit of q?
4
Let c be (1 + (-16)/10)*-5. Suppose -11 = 5*y + 3*i - 136, -y + c*i = -43. Suppose -3*a + y = 7. What is the units digit of a?
7
Suppose 2*b - 3*w - 245 = 0, w + 12 + 231 = 2*b. What is the tens digit of b?
2
Let i(k) = -k**3 + 3*k**2 - 4*k + 2. Let b be i(3). Let f = b + 15. Suppose -f*o - 2*m = -25, -4*o - 3*m - 2*m + 20 = 0. What is the units digit of o?
5
Suppose 5*c - 4 = -j + 17, -4*j = 2*c + 6. Suppose 2*m - 2*n = n + 30, -5*m = -c*n - 80. What is the tens digit of m?
1
Suppose -2*h + 28 = -12. Let i be 3/(-2)*h/(-6). Suppose n - 7 + 36 = i*m, -n - 23 = -4*m. What is the units digit of m?
6
Suppose -4*p + 34 = -26. Let y = -2 - -12. Let f = p - y. What is the units digit of f?
5
Let w be 0*(-1*4 - -3). Suppose -3*t + 30 = -w*t. What is the tens digit of t?
1
Let d(u) = -2*u - 5. Let y(q) = -3*q - 10. Let r(f) = -5*d(f) + 3*y(f). What is the units digit of r(8)?
3
Let i be (-91 - 4/(-2)) + 1. Let v = -55 - i. What is the units digit of v?
3
Let s(m) = -m**2 - 12*m - 2. Let z be s(-12). What is the units digit of (46/(-3))/(z/3)?
3
Let c(l) = -l**3 - 5*l**2 - 3*l + 3. Let n be c(-3). Let q(m) = -m**3 - 7*m**2 - 8*m - 3. What is the units digit of q(n)?
9
Let n = 59 + -22. What is the units digit of n?
7
Let z(v) = -5*v**2 - 14*v + 11. Let x(q) = -4*q**2 - 14*q + 12. Let h(n) = 4*x(n) - 3*z(n). What is the tens digit of h(-11)?
4
Let y(o) be the second derivative of 1/2*o**4 - 7/2*o**2 + 1/20*o**5 - 2*o + 0 + 1/6*o**3. What is the tens digit of y(-5)?
1
Let x = 46 - -40. Suppose -v + x = 5*s, 3*v + 30 = 2*s - v. Suppose 4 = -4*n, n + 0 = -2*j + s. What is the units digit of j?
9
Suppose -10*w = -14*w. Let g(i) = i**3 + i + 11. What is the units digit of g(w)?
1
Let p(y) = y**3 - 12*y**2 + 10*y + 15. Let v be p(11). Suppose 6*f - 12 = v*f. What is the units digit of f?
6
What is the units digit of -2*((-12)/(-8) + -1) + 29?
8
Let o(d) = d**3 - 7*d**2 + 2. Let v = 10 - 3. What is the units digit of o(v)?
2
Let b(i) = -i**3 - 5*i**2 - 3*i - 3. Let o be b(-6). What is the units digit of 2/(-5) + o/15?
3
Suppose 4*l = 2 + 18. Suppose 3*k - 4 = b - 3, 0 = -l*k + b + 5. What is the units digit of 1/(k/(0 - -2))?
1
Suppose 3*t + 1 = 13. Suppose 4*z + 6 = -h + 2*h, 4*h - t*z = 12. Suppose 5*w - 21 = h*w. What is the units digit of w?
7
Suppose -7*i = -2*i - 40. Let j be (2 + -11)*2/(-6). Let a = i - j. What is the units digit of a?
5
Let t(q) = -4*q - 6. What is the units digit of t(-15)?
4
Let a(p) be the third derivative of -p**5/60 - 7*p**4/24 - p**3/3 - 9*p**2. What is the units digit of a(-5)?
8
Suppose 3*c = -0*j - 2*j - 12, j + 4*c = 4. Let t be (2 - 1)/((-2)/j). Suppose 0 = a - 0 - t. What is the units digit of a?
6
Let j(n) be the first derivative of n**3/3 - 3*n**2/2 + n - 3. What is the units digit of j(3)?
1
Let j = 35 - 25. Let i = -5 + j. Suppose i*m - 10 + 5 = 0. What is the units digit of m?
1
Let p = -190 - -284. What is the units digit of p?
4
Let j(l) = 6*l**2 - l - 1. Let o be j(-1). Let d(t) = -t**2 + 12*t. What is the units digit of d(o)?
6
Let c be (-3 + 0)*2/6. Let b be ((-39)/(-6))/(c/(-2)). Let g = -8 + b. What is the units digit of g?
5
What is the units digit of (-26432)/(-560) - ((-1)/(-5) - 1)?
8
Let r(u) = u + 1. Let h be r(8). Let g(v) = 2*v**2 - 8*v - 11. Let n(y) = y**2 - y - 1. Let k(w) = g(w) - n(w). What is the units digit of k(h)?
8
Suppose -16 = -4*a + 4*f, f + 1 = -0*f. Suppose 0 = 4*s - 4*j - 52, -a*j = 2*j + 15. What is the units digit of s?
0
Let m(u) = -u + 13. What is the units digit of m(11)?
2
Let p(l) = -l + 17. Let w be p(-12). Suppose -u + w = 1. What is the units digit of u?
8
Let o be -2*(-3)/((-12)/(-10)). Suppose -5*j + 0*j = -4*t + 135, -o*j + 45 = 2*t. What is the units digit of t?
0
Suppose -4*k = 155 - 55. What is the units digit of (2/(-5) + 0)*k?
0
Let h(b) = b**3 + 5*b**2 - 3*b + 5. Let x = -4 + 0. What is the tens digit of h(x)?
3
Suppose 3*b + 8*c - 109 = 4*c, -2*b - 4*c + 78 = 0. What is the units digit of b?
1
Let u(g) = -g**3 - 2*g + g + 2*g**3 + 2*g + 1. Let o be u(-2). Let y = o - -28. What is the units digit of y?
9
Let g be (-83)/(-7) - 2/(-14). What is the units digit of 39*((-28)/g - -3)?
6
Let r be (35/25)/((-1)/(-5)). Let c = r - 5. What is the units digit of c?
2
Let p be (3 - (5 + -3))*7. Suppose 3*b - p*h + 3*h - 10 = 0, -2*h = -4*b + 10. What is the units digit of b?
2
Let d(l) = 0*l + 1 + 0*l + 2 + l**2. Let m be d(0). Suppose 3*n + 0*k = -3*k + 36, 0 = m*n - 5*k + 4. What is the units digit of n?
7
Suppose 196 = -u + 2*u. What is the units digit of u?
6
Let p(l) = -l**2 - 10