- 1. Let f(r) = 0 - 2*r**o + 0*r**3 - 2 - 2*r**3. What is the units digit of f(-2)?
6
Let i = 3 - 1. Suppose 4*y = -s + 15, 4*y - 21 = -i*s - y. What is the units digit of s/(-5) - 18/(-5)?
3
Suppose -3*a - a + 180 = 0. What is the tens digit of a?
4
Suppose 0 = 2*a + 2*a - 244. What is the tens digit of a?
6
Let i = 21 - 15. Suppose 4*l + i*d = 4*d + 94, -5*d = -2*l + 65. What is the tens digit of l?
2
Let h(m) = m. Let s(x) = -14*x. Let p(t) = 10*h(t) + s(t). Let k(j) = 11*j. Let l(a) = -3*k(a) - 8*p(a). What is the units digit of l(-2)?
2
Let n = -11 - -86. What is the tens digit of n?
7
Suppose 0 = -2*x + 5*x + 36. Let f = x + 22. What is the tens digit of f?
1
Let b be 2 + -1 - (-1 - 0). Let p(w) = 0*w**b - 7 - 3*w - 9*w**2 + 13*w + w**3. What is the units digit of p(8)?
9
Let t(x) = -2*x + 3. Let u be t(2). Let c(h) = h**3 - 9*h**2 - 10*h + 2. Let y be c(10). What is the units digit of u + (-2 - (y + -10))?
5
Let x(w) = w**2 + 5*w + 10. Let k be x(-9). Let b = 65 - k. What is the tens digit of b?
1
Suppose 4*r - r = 42. Let s = 22 - r. What is the units digit of s?
8
What is the hundreds digit of (-12)/12 - (-225 - 0)?
2
Suppose -5*f + 4*c = -38, -2*f + 3*c + 9 = -9. What is the units digit of f?
6
Let g(w) be the third derivative of w**5/12 + w**4/12 + w**3/6 - w**2. Let f(r) = -r - 1. Let v be f(0). What is the units digit of g(v)?
4
Suppose 5*j = -5 - 5. Let k(b) = b**3 - b + 2. Let y be k(j). What is the units digit of 8/y*(-18)/4?
9
Let a(v) = -v**3 + 5*v**2 - 3*v - 3. What is the units digit of a(4)?
1
Suppose 3*m = 5*m - 140. What is the units digit of m?
0
Suppose 4*x = 5*s - 2*s - 82, 4*s + 5*x - 68 = 0. Suppose -k - k + s = 0. What is the tens digit of k?
1
Let z be 12/(-18) + (-77)/(-3). Suppose 3*x - z = -2*x. What is the units digit of x?
5
Suppose -k + 12 = -2. Let o = k + 28. What is the units digit of o?
2
Let v(i) = -i - 24. Let d(s) = 24. Let t(q) = 3*d(q) + 2*v(q). What is the tens digit of t(0)?
2
Let f be -6 + -244 + 1*2. Let s be (-4)/(-22) - f/88. Suppose s*n - 2*n - 11 = 0. What is the units digit of n?
1
What is the tens digit of (3 + 27 + 3)*1?
3
Let n(j) = -j - 7. Let f be n(-8). What is the units digit of f/(-2) + 41/2?
0
Let i(s) = s**3 - 2*s**2 - 4. Let u be i(4). Suppose 5*w = 2*r - 5*r + 52, -w - 5*r = -u. What is the units digit of w?
8
Suppose 8*g - 85 = 3*g. Suppose 2*w = 4*c + 52, c = -4*w + g + 51. Let l = 25 - w. What is the units digit of l?
7
Let i(n) = n**3 + 2*n**2 - 3*n - 10. What is the tens digit of i(5)?
5
Let a(n) = 4*n - 3*n - 2*n + 13*n**2. What is the units digit of a(1)?
2
Let x(t) = 7*t**3 - t**2 + t - 1. Let l be x(1). Suppose l*z - 136 - 2 = 0. What is the tens digit of z?
2
Let x(r) = r**3 - r**2 + 45. Let c be x(0). Suppose -4*m - 16 = -6*m. Suppose -m*t = -3*t - c. What is the units digit of t?
9
Let c = 39 + -21. What is the units digit of c/(-10)*(-30)/9?
6
Let i(q) = -q**2 - 9*q - 12. What is the units digit of i(-5)?
8
Let o = -9 - -4. What is the tens digit of (15 - -1) + (-10)/o?
1
Suppose 3*y = -2*y + 35. What is the units digit of y?
7
Let g(k) = 5*k - 7. What is the units digit of g(3)?
8
Let i = -3 - -3. Let o = i + 3. Suppose 0 = o*c + 2*x, 1 + 5 = -2*x. What is the units digit of c?
2
Let b = 1 + -1. Suppose b = -d + 2*d, 2*d - 27 = -3*g. What is the units digit of g?
9
Suppose -182 = -2*g - g + 4*p, -4*g + 4*p = -244. What is the units digit of g?
2
Let y(u) = 5*u - 1. Let n(x) = -x - 1. Let s(o) = -6*n(o) - y(o). Let w be s(-5). Suppose 13 = 3*i - w. What is the units digit of i?
5
Let v(q) = q**2 + 7*q + 3. Let c be v(-7). Suppose -8*j - 25 = -3*j, -u + c*j + 17 = 0. What is the units digit of u?
2
Suppose 1460 = 17*f - 7*f. What is the units digit of f?
6
Let x(v) = -2*v**3 + 6*v + 6. What is the units digit of x(-3)?
2
Suppose -2*q - q - 9 = 0. Let b = 2 - q. Let l = b + -2. What is the units digit of l?
3
Let g(o) = -o**3 + 4*o**2 + 2*o - 5. Suppose 3*u - 2*z - 19 = 0, u - 17 + 4 = 4*z. Suppose u*h - 1 - 5 = -4*s, h = -2*s + 6. What is the units digit of g(s)?
3
Suppose -5*y + l = -3*y + 31, 64 = -5*y - 2*l. What is the tens digit of y/(-49) - (-89)/7?
1
Suppose 3*g + 5*q - 178 = 0, -72 = 3*g - 2*q - 236. What is the units digit of g?
6
Let q = 10 - 9. Let g be 279/15 - 4/(-10). Let y = g - q. What is the units digit of y?
8
Suppose -207 = -0*v - 3*v. What is the tens digit of v?
6
Let u = -58 - -122. Suppose u = 2*h + 2*v, 0*h + 5*h - 3*v - 176 = 0. What is the tens digit of h?
3
Let m(c) = 22*c - 1. What is the tens digit of m(2)?
4
Suppose 52 + 14 = 2*o. What is the tens digit of o?
3
Let h = 13 + -9. Suppose -h = k - 12. What is the units digit of k?
8
Let p(c) = -c**2 + 9*c - 8. Let s be p(7). Let t be 3/s - 10/(-4). Suppose 4*u + 2*d - 1 = 3*u, 0 = -u - t*d. What is the units digit of u?
3
Let r(u) = u**3 - 6*u**2 + 2*u - 7. Let v be r(6). Suppose -f + 26 = 4*q - 0*q, -4*f + v*q = -83. What is the tens digit of f?
2
Let m = 12 + -8. Suppose 2 + m = z. What is the units digit of z?
6
Let k be (10/(-15))/(2/(-18)). Suppose 132 = k*v - 2*v. What is the tens digit of v?
3
Let q(u) = u**2 + u - 4. What is the tens digit of q(5)?
2
Let i(g) = 2*g**2 + 3*g + 4. What is the units digit of i(-5)?
9
Suppose 0*v + v - 5 = 0. Let t = 12 + v. What is the tens digit of t?
1
Suppose -r + 4*r - 321 = -3*x, -3*x - 15 = 0. What is the units digit of r?
2
What is the tens digit of 6/14 + (13520/28)/5?
9
Suppose -o = -4*o + 6. Suppose -o*d = -0*d + 20. What is the tens digit of (-104)/d - 10/25?
1
Suppose 4*i + 3*u = -7, -3*i - 19 = u + 4*u. Suppose 0 = -7*o + i*o + 15. What is the units digit of o?
3
Let h be (1*-1)/(3 + -4). Let b be (h + 2)/(2 + -1). Suppose 0*k + 30 = b*k. What is the units digit of k?
0
Let n(x) = 2*x**2 - x. Let b be n(4). Suppose -2*i + 5*g + b = -0*i, -i + g = -20. What is the units digit of i?
4
What is the units digit of 12/(-16) - 79/(-4)?
9
Let i(j) = -j**3 + j**2 + j + 1. Let n(s) = 3*s**3 + 2*s**2 - 7. Let d(z) = -2*i(z) - n(z). What is the units digit of d(-4)?
3
Let u be (-666)/(-21) + (-2)/(-7). Suppose -u = -2*o - 4. What is the tens digit of o?
1
Suppose 16*z - 1663 = 2113. What is the tens digit of z?
3
Let d = 3 - 3. Suppose d = -t - 0*t + 18. What is the tens digit of t?
1
Let s = 23 - -56. What is the tens digit of s?
7
Let o(s) = -s - 2. Let n be o(-4). Suppose -n*l - 2*d = 3*d - 10, 4*d = -3*l + 8. Suppose l = j - 7 - 2. What is the units digit of j?
9
Suppose 6*j + 75 = 7*j. What is the tens digit of j?
7
Let h(l) = -l**3 - 1. Let g(f) = -2*f**3 + 8*f**2 - 9*f - 2. Let y(t) = g(t) - 3*h(t). Let v be (-65)/7 - (-4)/14. What is the units digit of y(v)?
1
Let b(g) = -6*g**2 - 5*g + 2. Let k be b(-8). What is the tens digit of ((-8)/(-6))/((-12)/k)?
3
Suppose -2*u - 4*l + 12 = 0, 24 = u + 3*u + l. Suppose u*k = 2*m + k - 65, -4 = 4*k. What is the units digit of m?
0
What is the tens digit of 32*(-4 + 36/8)?
1
Let a = -515 + 727. What is the tens digit of a?
1
Suppose 3 = -2*f + 7. Suppose -n - 31 = -f*n. What is the tens digit of n?
3
Suppose -6 = -4*u + 2. Let p(a) = a**3 - 5*a**2 - 7*a + 5. Let v be p(6). Let z = v + u. What is the units digit of z?
1
Let i(p) = -p**3 + 5*p**2 + 2*p - 1. Let v be i(5). Suppose v = w + 2*w. What is the units digit of w?
3
Let h(b) = -b**2 - 6*b - 5. Let w be h(-5). Suppose w = u + u - 22. What is the units digit of u?
1
Let o(t) = -t**2 - 3*t + 104. What is the hundreds digit of o(0)?
1
Let g = 38 - 11. What is the tens digit of g?
2
What is the tens digit of -3 + (-226)/((-1)/1)?
2
Let x(r) = 10*r - 4. What is the units digit of x(4)?
6
Let f(s) = -s**2 + s + 2. Suppose 0 = -0*n + 5*n, -3*j - 5*n = 0. What is the units digit of f(j)?
2
Suppose -3*z = -6*z + 9. Suppose 0 = -l - z*l. Suppose c = -2*m + 15, -5*c + l*c - 3*m = -40. What is the units digit of c?
5
Suppose -12 = 4*l - 4, 5*p + 3*l = 999. What is the tens digit of p?
0
Let v(k) be the third derivative of -k**6/120 + k**5/10 - k**4/8 - 5*k**3/6 - 2*k**2. Let q be 1*(0 - 0 - -5). What is the units digit of v(q)?
5
Let i(b) = -4*b - 11. Let d(v) = -2*v - 5. Let z(r) = 5*d(r) - 2*i(r). What is the units digit of z(-2)?
1
Suppose -5*o + 23 = 3*p, -6*p + 5 = -5*p + o. What is the tens digit of 13 + p/((-3)/(-3))?
1
Suppose -d + 5*w = 3, -2*d - 2