1. Let g be m(0). Let h = g - z. What is the units digit of h?
6
Let y = -3 - 1. Let u(w) = -w**3 + 5*w**2 - w**2 + 2*w**3 - 3*w - 3. What is the units digit of u(y)?
9
Suppose q + 4 = 0, 4*q = -3*b - 0*q + 53. Suppose -54 = -3*g - 3*l, -g + 3 + b = 3*l. Let i = -8 + g. What is the units digit of i?
6
Let o = 6 + -8. Suppose 0 = 5*s - 0*q - 4*q - 50, 26 = s - 4*q. What is the units digit of o/s*(-1 - 8)?
3
Suppose 4*m + 3*l + 19 = 0, -5*m - 18 = -2*l - 0*l. Let u = 1 - m. What is the units digit of u?
5
Let y be ((-15)/(-12) + -2)*-4. Suppose y*f - 22 = -5*n, f - 4*n = 3*f - 16. Suppose 5*t - 31 = f. What is the units digit of t?
7
What is the units digit of 5/((12/(-8))/(9/(-6)))?
5
Let v = 11 - 15. Let h = v + 8. Suppose 3*j - 5 = h*a - 2*a, 4*a = j + 15. What is the units digit of a?
5
Suppose -5*t - 48 = -5*c - 3, 5*c = 5. Let l = 10 + t. Let k(x) = 2*x**3 - 2*x**2 - 2*x + 1. What is the units digit of k(l)?
5
Suppose 5*d + 3*c = 2, 5*d - 3 = -4*c + 3. What is the units digit of -3*(d/3 + -2)?
8
Let s(p) = p. What is the units digit of s(5)?
5
Suppose -1 = -4*x + 19. Suppose -4*b + 2*k + 8 = -0*k, x*k + 12 = 2*b. What is the units digit of b?
1
Suppose 0 = -4*j + 116 + 324. What is the units digit of j?
0
Suppose q - 6*q = -2*l + 107, 2*l = 3*q + 117. What is the units digit of l?
6
Suppose v + 2 = -3*p, -2*p + 4 = v - 5*p. Suppose -2*y + y + 7 = 0. Let r = y - v. What is the units digit of r?
6
Let s(a) = a + 1. Let w(d) = 8*d + 7. Let l(n) = -6*s(n) + w(n). Let p be l(1). Suppose p*c = 1 + 2. What is the units digit of c?
1
Let n(k) = 29*k**3 - k. What is the units digit of n(1)?
8
Let t(i) = 51*i**2 + i - 2. What is the units digit of t(1)?
0
Let w(x) = -x. Let h be w(-7). Suppose 2*j + 146 = h*j - k, -k = 5*j - 144. Suppose -3*a = -10 - j. What is the units digit of a?
3
Let k(h) = 2*h + 1. Let p be k(-4). Suppose -z + 22 = -3*z. Let m = p - z. What is the units digit of m?
4
Suppose -5 = -5*g - 0. Let d = 3 - g. Let c = 5 - d. What is the units digit of c?
3
Suppose 3*b - 5*i + 29 = 0, 2*b - 4*i + 5 + 17 = 0. Let p be 6*(b/6 - -1). Suppose -1 + 2 = p*s - m, 2*s + 11 = 3*m. What is the units digit of s?
2
Let r be 0 - 0 - (-87)/3. Suppose -k = -0*w + w - 22, -k = -2*w + r. What is the units digit of w?
7
Let a(b) = -2*b**3 + b**2 + b. Let i be 2/(2 + -1 - 3). What is the units digit of a(i)?
2
Suppose 2*f - 137 = -4*x + 7, 4*x - 4*f = 168. What is the tens digit of x?
3
Let c(t) be the third derivative of t**4/24 - t**2. Let q(b) = 5*b + 2. Let m(w) = 6*c(w) - q(w). What is the units digit of m(8)?
6
Suppose 7*z - 9 = 4*z. Suppose -16 = -5*r + 2*c, -c = -3*r - 6*c - 9. What is the units digit of 7 - (-3*r + z)?
0
Let g = -9 + 0. What is the tens digit of 2/(-9) - 119/g?
1
Suppose -c + 59 = -55. What is the units digit of c?
4
What is the units digit of (-2)/18 + (-26800)/(-225)?
9
Let i = -40 - -111. What is the units digit of i?
1
Suppose -2*d = -87 - 43. Suppose u + 4*w = 40, -2*u - 2*w - 3 = -d. What is the tens digit of u?
2
Suppose 200 = 66*u - 61*u. What is the units digit of u?
0
What is the units digit of (-6)/36 + (-595)/(-6)?
9
Let l(j) = -6*j + 1 + 3 - 3. What is the tens digit of l(-3)?
1
Let t = 56 + -7. Let r = t - 4. What is the tens digit of r?
4
Let j = -12 - 3. Let l = 24 + j. What is the units digit of l?
9
Suppose g + 154 = -g. Let f = -48 - g. What is the tens digit of f?
2
Let w(s) = 2*s + 3. Let d be ((-8)/(-10))/(5/25). Let x be w(d). Let b = 19 - x. What is the units digit of b?
8
Suppose 0*k = k + 4*q - 26, 2*q = -3*k + 28. Suppose 0 = k*p - 2*p + 28. Let u = p + 10. What is the units digit of u?
3
Let p be -15 + -1 + 2 - -2. What is the units digit of (-12)/(-5) + p/(-20)?
3
Let j(h) = -2*h**3 + 2*h**2 - 1. Let y(g) = -2*g**2 - g. Let u be y(-1). Let v be j(u). Suppose 5*n + 5 = 25, 0 = -2*w + v*n - 2. What is the units digit of w?
5
Let t(d) be the first derivative of -d**5/20 - 5*d**4/12 + 2*d**2 + 2*d + 2. Let o(r) be the first derivative of t(r). What is the units digit of o(-5)?
4
Let j be -2 + 0 + 2 + 2. What is the units digit of 22*((-1)/j + 1)?
1
Let m be 9 + -2 + 2 + 3. Suppose -11 = -3*u + 4. Suppose -v + m = 2*s, -u*s + s = -3*v - 4. What is the units digit of s?
4
Let c = 2 - 2. Let v(s) = -s**2 + 7*s - 2. Let k be v(7). Let o = c - k. What is the units digit of o?
2
Suppose -5*b + 5*n - 2*n = -19, 0 = -3*b - 3*n - 3. Suppose 3*k + 2*q = 71, -b*k + 76 = q + 30. What is the tens digit of k?
2
Let z(b) = b**3 - 7*b**2 + 3*b + 9. What is the tens digit of z(7)?
3
Let t = 36 - 26. What is the tens digit of ((-1)/(-1))/(t/250)?
2
Let a(f) = f**2 + 8*f + 6. Let v be a(-7). What is the tens digit of -2 + -1 + v + 16?
1
What is the units digit of -2*(-4 + 295/(-10))?
7
Suppose -4*y - 4 = -3*x, 2*x = -4*y + 2*y + 12. Let v = 1 + y. What is the units digit of v?
3
Suppose -11*p = -6*p - 270. What is the tens digit of p?
5
Let o be (-1)/2 - 267/6. What is the tens digit of (13/3)/((-5)/o)?
3
Suppose i + 61 = y + 2*i, y = 3*i + 65. What is the units digit of y?
2
Let l = -106 + 164. What is the units digit of l?
8
Let s(w) be the first derivative of 33*w**2/2 + w + 2. Let p be s(1). Suppose -5*j - 10 = 0, -7*a - 5*j = -3*a - p. What is the units digit of a?
1
Suppose -3*f = 5 - 23. What is the units digit of f?
6
Let q(c) = -13*c - 15. Let j(u) = 13*u + 13. Let y(b) = -25*b - 25. Let h(p) = 11*j(p) + 6*y(p). Let x(o) = -7*h(o) + 4*q(o). What is the tens digit of x(-9)?
1
Suppose -8*z + 0 = -448. What is the tens digit of z?
5
Suppose q - s = s + 15, -q - 2*s = -11. What is the tens digit of q?
1
Let d = 274 - 191. What is the units digit of d?
3
Let m = 54 - 24. Let p(n) = 6*n**2 + 3*n + 3. Let d be p(-2). Suppose 3*x + a = d, 3*x + 2*a - m = -x. What is the units digit of x?
6
What is the tens digit of 31*2 + (0 - (-4 - -7))?
5
Suppose -3*v - 2*a = 2*v - 3, 0 = -2*v - 5*a - 3. Let s(z) = 14*z**2 + 2*z - 1. What is the units digit of s(v)?
5
Let l(p) = p**2 - 6*p - 3. Let r be l(7). What is the units digit of (40/(-12))/(r/(-6))?
5
Suppose 0*a + b = -a + 8, -1 = a - 2*b. Suppose 4*q - 65 = 3*w, -4*q = a*w - 0*w - 105. Let z = 29 - q. What is the units digit of z?
9
Let k(g) = g - 13. Let o be k(-11). Let b be 16/1 + 1 + -2. What is the units digit of (-6)/10 - o/b?
1
Suppose -5*k - 175 = -10*k. What is the units digit of k?
5
Let x = 3 - -1. What is the units digit of (-18)/x*10/(-3)?
5
Let u be 6/4*(-80)/(-12). Let b = 37 - u. Let h = b - 19. What is the units digit of h?
8
Let g = 9 - 17. Let s be (-378)/36*(1 - (-14)/(-6)). Let n = s + g. What is the units digit of n?
6
Suppose 3*n + 4*v = 33 + 125, n - 51 = -v. Suppose 3*o = -0*y + y - n, 5*y - 230 = 3*o. What is the tens digit of y?
4
Let z be (-30)/(-9)*(-54)/(-15). Suppose 3 + z = 5*o. What is the units digit of o?
3
Let o = -23 - -24. What is the units digit of 40*o - (1 + -3)?
2
Let g = -3 - -5. Suppose -z = -g*z. Suppose z = 2*d + 3*d - 80. What is the units digit of d?
6
Let f(a) = -2*a. Let p be 2/((-4)/(-3) + -2). Let v be 2*p/(-3) + -4. What is the units digit of f(v)?
4
Let z be 2/3 - 1372/(-12). Suppose 6*m - m = z. What is the tens digit of m?
2
Let v(a) = -2*a**3 + 2*a**2 - 1. Let w be v(-1). Suppose w*z = 5*z - 4. Suppose 3*l = h + z*h + 33, -l - h = -3. What is the units digit of l?
7
Let c(v) = -5*v - 4. Let m(p) = -2*p - 1. Let z(o) = 2*c(o) - 7*m(o). Let j be 1*4 - 12/4. What is the units digit of z(j)?
3
Let r be 1/(22/(-10) - -2). Let j = r + 5. Suppose -5*s + j*s = -15. What is the units digit of s?
3
Let o be -2 - (-3 - -2) - 4. Let w be -1 - (0/(-3) + o). Suppose -2 - w = -s. What is the units digit of s?
6
Let r = 2 - 1. Let u(o) = o + 13. Let d be u(-11). What is the units digit of 3*3*(d - r)?
9
What is the units digit of 1 + -1 - (-7 + 0)?
7
Suppose -77 - 367 = -6*h. What is the tens digit of h?
7
What is the units digit of 2/4*-6 + 56?
3
Suppose 5*b + 4*g + 26 = 0, 8*b + 28 = 3*b - 2*g. Let j(l) = -4*l - 1. What is the units digit of j(b)?
3
Let i(j) = -j**2 - 8*j + 12. Let h be i(-9). Suppose -41 = -s - 2*x, 81 + 96 = 5*s + h*x. What is the units digit of s?
3
Let d(b) = -b**3 - 2*b**2 - 3. Let s be d(-3). What is the units digit of 6/2 + 18/s?
6
Let s = 21 - 18. Suppose 4*q - 103 = 3*b, 5 = -4*b + s*b. What is the unit