e units digit of t?
7
Let c(k) = -4*k**2 - 4 - 3*k**2 + 3*k + 4*k + k**3. Let a be c(6). Suppose x - 27 = -a*x. What is the units digit of x?
9
Suppose 5*x + 4*q = -630, -2*x + 3*q + 6 = 258. Let i = -67 - x. What is the units digit of i?
9
Suppose -5*o = 3*j - 25, 0 = -2*o + 2*j - j + 10. Suppose 2*v = o*v - 57. What is the units digit of v?
9
Let t(d) = -d**2 - 9*d + 4. Let u be t(-8). Let y(m) = m**2 - 11*m + 10. What is the tens digit of y(u)?
2
Let o(l) = -l**3 + 4*l**2 + 2*l - 5. Let z be 8/5*(-15)/(-6). What is the units digit of o(z)?
3
Let p(k) be the first derivative of k**3/3 + 3*k**2/2 + 3*k + 1. What is the units digit of p(-2)?
1
Let m = -316 + 503. What is the tens digit of m?
8
Let c(t) = t + 5. Let u be c(-5). Let w = 3 + u. What is the units digit of w?
3
Let x(y) = y**3 + 6*y**2 + y + 1. What is the units digit of x(-4)?
9
Let t(n) = n**3 + 18*n**2 - 27*n - 7. What is the hundreds digit of t(-19)?
1
Suppose -4*c = -5*i - 23, 4*c - 9 + 4 = -i. Let g be (6/(-4))/((-1)/c). Suppose 4*n - 31 + g = 0. What is the units digit of n?
7
Suppose -3*a - 8 + 89 = 0. Suppose 0 = j - 17 - a. What is the tens digit of j?
4
Let l(u) = -2*u - 16 + 2*u + u - 3*u. Let w be l(-12). Suppose 0 = 5*o - 58 + w. What is the units digit of o?
0
Let b be 20/(-9) - (-4)/18. Let x = b + 6. Let s = 0 + x. What is the units digit of s?
4
Suppose -3*y - 1608 = -15*y. What is the hundreds digit of y?
1
Suppose -8 - 868 = -6*u. What is the units digit of u?
6
Let a = 27 + 62. What is the units digit of a?
9
What is the units digit of (-1 + 71*-1)*(-2)/4?
6
Suppose 4*a + 15 = 5*b, b + 4*b + 4*a - 15 = 0. Suppose 0 = -5*y - b*u + 34 + 41, y + 3*u = 27. What is the units digit of y?
2
Let z(j) = -1 - j - 2*j + j. Let a be (-1)/((-12)/(-10) + -1). What is the units digit of z(a)?
9
Let g(b) = -b**2 - 8*b - 6. Suppose -3*p - 12 = 3. What is the units digit of g(p)?
9
Suppose 27 = 3*k - 6*k. Let r = k + 21. What is the units digit of r?
2
Let q = 6 + -1. Suppose 23 = 5*c + j, -q*j = -3*c - j + 23. Suppose -5*v + 35 = c. What is the units digit of v?
6
Suppose 6*t + 282 + 84 = 0. Let c = t - -86. What is the units digit of c?
5
Suppose -f - q - 9 = -4*f, 3*f + 5*q = 9. Suppose 2*p = -6, f*p = 3*t - 2*t - 43. Suppose 5*s - 6 = t. What is the units digit of s?
8
Suppose -2*l - b = 3*l - 242, 205 = 4*l - 3*b. Let z = l - 30. What is the units digit of z?
9
Suppose d = j - 52, -3*j + 2*d = 4*d - 141. What is the tens digit of j?
4
Let i = -120 - -191. Suppose 0 = 5*n - 2*g + i, 3 = -g + 1. Let m = -8 - n. What is the units digit of m?
7
Suppose -k = -2, 3*k - 13 = -2*q + 1. What is the tens digit of q*3/6 - -11?
1
What is the units digit of ((-2)/4)/((-5)/550)?
5
Let a(l) = l**2 - l - 2. Let s be a(-2). Suppose -35 = -s*p - h + 7, -5*p + 2*h = -59. What is the units digit of p?
1
Suppose 3*v - 1752 + 569 = -5*g, 5*v - 713 = -3*g. What is the tens digit of g?
3
Suppose 0 = -a + 2*a - 168. What is the tens digit of a?
6
Let i = 14 + -4. What is the tens digit of i?
1
Let k be 27/(-15)*60/(-18). Let b(l) = -3*l**3 - l**2. Let d be b(-2). Suppose -k*s + 4*s + d = 0. What is the tens digit of s?
1
Suppose 0 = -0*g - 3*g - 69. What is the tens digit of 0*1/3 - g?
2
Let o be ((-14)/4)/(2/(-12)). Let z = o + -9. What is the units digit of z?
2
Let i = 7 + -5. What is the units digit of i?
2
Suppose -t - 4*i + 63 = 0, -t + i = t - 108. What is the tens digit of t?
5
Let a = -1 + 4. Suppose 0 = -a*q + 2*q + 5*p + 18, q - 4*p = 14. What is the tens digit of (0 - 1) + q - -20?
1
Suppose 3*u - 4*n = -3, 20 = -u + 2*n - 7*n. What is the tens digit of (-392)/(-35) - (-1)/u?
1
Let t(w) = -20*w - 5. Let h(l) = -19*l - 4. Let k(a) = 4*h(a) - 3*t(a). What is the units digit of k(-2)?
1
Let n(k) = -k - 1. Let b be n(3). Let c = -3 - b. What is the units digit of c?
1
Let v be (3/2)/(5/(-50)). Let k = v - -18. What is the units digit of k?
3
Suppose 220 = 4*p - 4*h, -4*h = -3*p + 107 + 61. What is the tens digit of p?
5
What is the units digit of 5 - 6 - (-12 + 2)?
9
What is the tens digit of 195 - ((-12)/5 - 15/25)?
9
Suppose -4*d + 102 = -106. What is the tens digit of d?
5
Let j be 0/((-6)/(-15)*5). Let s(d) = d**2 + d + 14. What is the tens digit of s(j)?
1
What is the units digit of 1/(4/68 - 0)?
7
Suppose 0 = -8*v + 3*v + 15. Suppose -6 = -v*a, -2*z + 3*a - 2*a = -78. What is the units digit of z?
0
Let n = -3 + 7. Let m be (-5)/(5/(-31)) + 1. Suppose 0 = -h + 3*h - 2*s - m, 4 = -n*s. What is the tens digit of h?
1
Suppose 0 = -f - 3*f + 5*z + 27, -2*f + z = -9. Suppose -5*k - 63 + 191 = f*t, 3*t + 124 = 4*k. What is the units digit of k?
8
Let m(h) = -4*h + 2*h - 10 + h. Let r be m(-8). Let o = 3 + r. What is the units digit of o?
1
Suppose -3*t = t - 16. Suppose c = t + 7. What is the tens digit of c?
1
Suppose 0 = 4*y - 2*r - 44, -8 = r + 3*r. Suppose -8*m + 6*m = -y. What is the units digit of m?
5
Suppose 2*t - 5 = 3. Suppose 0 = t*w - 2*w - i - 8, -3*w + 3*i + 15 = 0. Suppose -3*f - 4*x - x = 7, w*f - 23 = x. What is the units digit of f?
6
Let y(d) = -4*d**3 - d - 2. Suppose -3*v = 4 + 2. What is the units digit of y(v)?
2
Suppose 3*h - 10 = 2. Suppose 10 = -2*k + h*k. Suppose 3*v - k*g - 34 = 0, 0 = -v + g - 4 + 12. What is the units digit of v?
3
Let c = 30 - 27. What is the units digit of c?
3
Let q be 6*(3 + (-4)/3). Suppose -1 + q = 3*x. What is the units digit of 1*9 - (4 - x)?
8
Suppose 3*z + 16 = 7*z. Suppose -2*k - 18 = -z*k. What is the units digit of k?
9
Suppose 2*f - 7 - 9 = 0. Let i(z) = -2*z - f + 0*z + 2*z + 4*z. What is the units digit of i(7)?
0
Let o = 1252 - 890. What is the tens digit of o?
6
Let s = 49 + 2. What is the tens digit of s?
5
Suppose -l = -16 - 90. What is the tens digit of l?
0
Suppose 0 = -2*u - 5*j - 0*j + 36, -28 = -3*u - j. What is the units digit of 5/(10/(-4)) + u?
6
Let n(w) = w + 2. Let f be n(0). Suppose 2*r - f = -0, 4*r + 76 = -5*b. Let d = b - -32. What is the units digit of d?
6
Let h be -3 - (-2 + -3) - -2. Suppose -h*g + 162 = -5*r, -3*r - 49 = -g - 5. What is the units digit of g?
8
Let a(r) = -r**3 + 6*r**2 - 5*r + 5. Let k be a(5). Suppose 3*o = b - 21, 4*b - 3*b + o = k. What is the units digit of b?
9
Let h(s) = s - 2. Let j be h(2). Let z(d) = -d**2 + d + 13. Let v be z(j). Let k = -8 + v. What is the units digit of k?
5
Let g(w) = -12*w**3 - 2*w**2 - 2*w + 1. Let c be g(-2). Suppose 3*r = -0*r + c. What is the tens digit of r?
3
Suppose -12 = -0*y - 4*y. What is the units digit of -3 + y - (-6)/3?
2
Let p be 0 + -2 + 1 + -13. Let x = -10 - p. Suppose 20 = x*n + 4*r, -n + 3*r = n + 5. What is the units digit of n?
2
Let c be 5/10 + (-6)/(-4). What is the units digit of (c - 0)/((-8)/(-20))?
5
Let l(m) = m**2 + 14*m - 8. What is the tens digit of l(-16)?
2
Let n(y) = -y**2 - 9*y - 4. Let w be n(-8). Suppose -p = w*j - 5*p, -3*p = 5*j. Suppose m - 8 + 3 = j. What is the units digit of m?
5
Suppose -372 = 6*l - 2*l. Let p = -53 - l. What is the units digit of p?
0
Suppose 2*w + l = -0 + 7, 4*l = 12. Suppose -w*u = -2*p + 10, 0 = -2*p + 4*u + 14. What is the units digit of p?
3
Let h be (7/3)/(1/(-3)). Let f = 16 - 4. Let r = f + h. What is the units digit of r?
5
Let z be (1 + -2)/(8/24). What is the units digit of -2 - (1 + (-50 - z))?
4
Let d = 19 + 2. What is the units digit of d?
1
Let b = -189 + 281. What is the units digit of b?
2
What is the tens digit of 4/6 + (-471)/(-9)?
5
Suppose 3*y + 6625 = -5*i, y = 5*y - i + 8818. What is the tens digit of (2/(-3))/(30/y)?
4
Suppose 3*y - 16 = -1. Suppose 3*t + 2 = -m, 4*t + 0*t = y*m - 66. What is the tens digit of m?
1
Let z(f) be the third derivative of f**4/24 + f**3/6 + f**2. Let b be z(4). Suppose -b*n + 42 + 13 = 0. What is the units digit of n?
1
Let b(v) = v**3 - 5*v**2 + 3*v + 1. Let g be b(4). Let d = 26 + g. What is the tens digit of d?
2
Suppose -2*w + 2*r + 494 = 4*r, -4*w + r = -1013. What is the hundreds digit of w?
2
What is the units digit of 23376/84 - 6/21?
8
Let i(x) = -13*x - 6. What is the tens digit of i(-3)?
3
Let z(l) = 5*l + 2. Let w(f) = -f**2 - 10*f. Let a be w(-10). Suppose a = 4*b - 1 - 11. What is the units digit of z(b)?
7
Let m(a) = 7*a**3 + 2*a**2 + a - 7. Let h(n) = n**3 + n**2 + n. Let s(c) = 6*h(c) - m(c). What is the units digit of s(