132 = -5, 3*o + 167 = 5*x. What is the units digit of x?
4
Suppose -4 + 0 = 4*g. Let s(k) = -17*k + 2. What is the units digit of s(g)?
9
Let t be -1 + 8/4 + -6. Suppose -3*d = -4*c - 42, 3*d - 20 = c + 22. Let r = d + t. What is the units digit of r?
9
Let y be 2/(-9) - (-470)/90. Suppose -11 = -v + 3*x, -4*v - y*x + 11 = -6*x. What is the units digit of v?
2
Let c be 3/(-6) - (-15)/2. Let w = -5 + c. Suppose -w*u - 3*u = -20. What is the units digit of u?
4
Let j(n) = 2*n - 9. Let k be (-75)/(-12) + 1/(-4). What is the units digit of j(k)?
3
Suppose 4*x - 3*c = c, 0 = -5*x - c + 18. Suppose 0 = -s - s + 3*r + 19, 5*s - x*r = 34. What is the units digit of s?
5
Suppose 2*n - 148 = -3*j, -3*n = -j + 5*j - 224. What is the units digit of n?
0
Suppose 0 = 5*i + 45 - 70. Let s(t) = -5 + 7 + 3*t + 3. What is the units digit of s(i)?
0
Let h be (3 + 0/3)*1. Let o(x) = -x**3 + 4*x**2 - 4. Let f be o(h). Suppose c - 5 - f = 0. What is the units digit of c?
0
Let s(d) be the first derivative of -d**3/3 - 5*d**2/2 - 3*d - 2. Let u be s(-3). Let x = u - -5. What is the units digit of x?
8
Suppose 11 = 3*c - 1. Suppose -g = -4*m - 5*g, 0 = c*g. Suppose 0 = 4*v + 12 - m, -2*v + 54 = 4*f. What is the tens digit of f?
1
Let u(b) = -b**3 + 8*b**2 + 5*b - 5. What is the units digit of u(8)?
5
Let d(l) = 0*l**2 - 6*l**3 - l**2 - 3 + 4. What is the units digit of d(-1)?
6
Let r = -39 - -65. What is the units digit of r?
6
Let f(c) = c**2 + 3. Let k = 3 - 0. Let s be f(k). Let i = s - 4. What is the units digit of i?
8
Suppose -6 = -2*f - 0. What is the tens digit of 18 - (0 - (f + -1))?
2
Let t = 238 - 134. What is the tens digit of t?
0
Suppose -4*i + 810 = -4*k + 5*k, i + k - 204 = 0. What is the hundreds digit of i?
2
Suppose -5*s - 4 = -24. Let o(m) = -3 - s + 4*m + m**3 - 5*m**2 - m + 5. What is the units digit of o(5)?
3
Let o be (2/6)/(4/24). Let d be (-1)/(-3) - (-21)/(-9). Let l = o - d. What is the units digit of l?
4
Let l = 1 - -3. Suppose 4*j = 2*p - 32, -l*p + 0*p = -5*j - 79. Let u = -7 + p. What is the tens digit of u?
1
Let j = 9 + 26. What is the tens digit of j?
3
Suppose 3*h = -174 + 699. Suppose 0 = 6*o - o - h. What is the units digit of o?
5
Suppose 24*m - 29*m + 195 = 0. What is the units digit of m?
9
Let y be 87*5/((-30)/(-4)). Let g be 1/2 + y/4. Suppose -q - 13 = -2*i, -3*q = -3*i - 0*q + g. What is the units digit of i?
8
Let o be 210/8 + 2/(-8). Suppose n + 8 = -3*h, 3*n - o = -0*n + h. What is the units digit of n?
7
What is the units digit of ((3906/35)/(-3))/((-3)/10)?
4
Let p(t) = -16*t**2 - t + 1. Let u be p(1). Let r be (3/4)/((-1)/u). Suppose x = -1 + r. What is the units digit of x?
1
Let w = 13 - 11. Suppose 30 = 3*p + w*p. What is the units digit of p?
6
Suppose 12 = 2*q + q. Let b(w) = -w**3 + 6*w**2 - 2. Let d be b(q). Suppose 4*s - a = 2*s + 12, -5*s - 4*a = -d. What is the units digit of s?
6
Let c(n) = n + 7. Let a be -1*(-3 + -2)/(-1). Let w be c(a). Suppose 0 = 2*y + w*b - 16, -28 = -4*y - y - b. What is the units digit of y?
5
Suppose -13 + 3 = -2*l. Suppose 3 - 18 = -l*y. What is the units digit of y?
3
Suppose 16 = 3*s + s. Let b(f) = f**3 + 4*f**2 - 6*f - 1. Let u be b(-5). Suppose 0 = 4*x - u - s. What is the units digit of x?
2
Let k(l) = 8*l - 7. Let q(p) = -9*p + 7. Let b(y) = 3*k(y) + 2*q(y). What is the tens digit of b(5)?
2
Let t(i) = i**3 - i**2 - 5*i - 9. What is the tens digit of t(4)?
1
Suppose -f = -1 - 2. Let p be (0*(-1)/f)/(-2). Suppose p = -2*k + 5*a + 14, 4*a = -k + 11 + 9. What is the units digit of k?
2
Let v = 84 - 43. What is the units digit of v?
1
What is the units digit of 2 + 0 + ((-2)/1 - -32)?
2
Suppose -3*b + 18 = 6. Suppose 5*l + b*i = 92 - 30, -l + 4*i - 2 = 0. Let p = -6 + l. What is the units digit of p?
4
Suppose -12 = -q - 3*h, 3*h = -2*q + 25 - 7. Let s(v) = 4*v + 1. Let b be s(q). Suppose 2*l = -5*m + 43, -3*m + 35 + b = 5*l. What is the units digit of l?
9
Let c(h) = 24*h - 81. What is the tens digit of c(6)?
6
Suppose 207*n = 203*n + 644. What is the hundreds digit of n?
1
Let r(m) = -3*m + 1. What is the units digit of r(-1)?
4
Let h = 5 + 23. Let y = h + -13. What is the units digit of y?
5
Let n = -3 + 0. Let u = 7 + n. What is the units digit of u?
4
Suppose 2*f - 215 = 215. What is the tens digit of f?
1
Suppose 394 = 3*m - 470. What is the hundreds digit of m?
2
What is the units digit of ((-240)/(-5))/(3/2)?
2
What is the units digit of 9/18 - 21/(-2)?
1
Let q = -26 - -21. Let o(c) = 2*c**2 + 8*c + 5. What is the units digit of o(q)?
5
Suppose 5*t - 3*l + 5 = 3*t, 4*t - 4*l = -8. Let u(b) = -45*b**3 - b**2 - 2*b - 1. What is the units digit of u(t)?
5
Suppose -j = -4*j. Suppose -3*m + 3 = -3*l - 0*l, -4*m - 2*l + 22 = j. What is the units digit of m?
4
Let b(m) = -m + 10. Let h be b(8). What is the units digit of h - 104/(-2 - 2)?
8
Let t(z) = 44*z**2 + 5*z - 2. What is the tens digit of t(-2)?
6
Let n(w) = w**2 - 5*w + 1. Let r be n(-4). Suppose -1 = 4*u - r. Suppose h - u = 2. What is the units digit of h?
1
Suppose 0 = 7*p + 15 - 463. What is the units digit of p?
4
Suppose -3*t + 33 + 60 = 0. What is the tens digit of t?
3
What is the units digit of 2*((-45)/(-2) + -3)?
9
Let j(r) be the second derivative of -r**3/3 - r**2 - 2*r. What is the units digit of j(-2)?
2
Suppose -3*t = -5*t + 202. What is the units digit of t?
1
Let h = -28 - -72. What is the units digit of h?
4
Suppose -44 - 169 = -t. What is the hundreds digit of t?
2
What is the units digit of (-2 - -3)/(1/31)?
1
Suppose -5*w - 5 = -10*w, 2*d - 12 = -2*w. Suppose d*p = -0*p - 4*a + 13, -4*a = -p + 17. What is the units digit of p?
5
Let w = 383 + -222. What is the units digit of w?
1
Let g be 4/(3*2/18). What is the units digit of ((-42)/(-8))/(g/32)?
4
Suppose 3*b + 17 = 3*h - 1, -3*b = 2*h + 13. What is the units digit of h?
1
Let d(g) be the second derivative of -g**7/2520 - g**6/72 - g**5/24 + g**4/6 + 3*g. Let i(h) be the third derivative of d(h). What is the units digit of i(-9)?
4
Suppose 5*v - 875 = q, -507 = -2*v - 5*q - 130. What is the tens digit of v?
7
Suppose 0 = -4*v + 2*u - 0*u, 2*v = -5*u. Suppose -4*s + 49 = 2*y - 3*y, v = -s + 3*y + 26. What is the tens digit of s?
1
Let v(z) = -z**3 + 2*z**2 - z + 171. What is the hundreds digit of v(0)?
1
Let v = -314 - -581. What is the hundreds digit of v?
2
Let m(v) = v + 1. Suppose 3*j + 9 = 2*y, 2*j + 4 = 2*y - 4. Let g(t) = -t**3 - t**2 + 1. Let f be g(j). What is the units digit of m(f)?
2
Let z = -96 + 193. What is the units digit of z?
7
Let q(d) = d + 32. What is the units digit of q(0)?
2
Let g be 1/(-3) + (-49)/(-21). Let j be ((-4)/6)/((-1)/3). Suppose -x + 13 = b, g*b + 23 = j*x + 3*b. What is the tens digit of x?
1
Let q(w) = w**2 - 2*w + 3. Let s = 2 - 0. Let z be q(s). Suppose -2 = z*t - 17. What is the units digit of t?
5
Let s(x) = 7*x**2 + x - 18. What is the tens digit of s(-4)?
9
Let j(y) = -10*y - 5 + y + 16 + y**2. Let t be j(8). Suppose t*s - 40 = -2*s. What is the units digit of s?
8
Let p = 114 - 49. What is the units digit of p?
5
Suppose 2*v - 74 = -2. Suppose 0 = -2*l + 22 + v. What is the units digit of l?
9
Let s = -11 + 37. Suppose -s = -3*h + 10. What is the tens digit of h?
1
Let t(y) = 23*y**3 - y**2 + 4*y - 3. What is the tens digit of t(1)?
2
Let b(s) = -5*s**3 + 6*s**2 - 3*s - 4. Let w(o) = -6*o - 8 - 2*o**3 + o - 7*o**3 + 11*o**2. Let c(q) = 7*b(q) - 4*w(q). What is the tens digit of c(3)?
1
What is the tens digit of 1615/30 - (-2)/12?
5
Let v be 126/(-26) - (3 + 74/(-26)). Let h(x) = -10*x - 1. Let a(f) = 3*f. Let b(d) = -7*a(d) - 2*h(d). What is the units digit of b(v)?
7
Let n(c) = c**3 - 5*c**2 + 1. Let v be n(5). What is the units digit of v - 2 - (-1 + -2)?
2
Suppose 3*x - 1 - 8 = 0. Let n(p) = 4*p - 2. Let q be n(1). Suppose -q*z + x*h = -2*h - 19, -4*z = -5*h - 33. What is the units digit of z?
7
Let l(y) be the first derivative of -5*y**2/2 + 8*y - 4. What is the tens digit of l(-5)?
3
Suppose 0*h + 6 = 2*h. Let a = 1 + h. Suppose -5*g + a*i = -10, 2*g = 6*g + 2*i - 8. What is the units digit of g?
2
Suppose -3*m - 2*m - 75 = 0. Let b be (m/4)/(-5)*8. Suppose r + 10 = b*r. What is the units digit of r?
2
Let u be 5/(-2 - (-2 + -1)). Suppose j - u*j - 48 = 0. What is the units digit of 88/14 +