- 4. Let j(a) = a**2 + a + 1. Let m(b) = g(b) + 5*j(b). What is the units digit of m(-5)?
7
Let u(y) = 198*y + 322. What is the units digit of u(5)?
2
Suppose 3*t - 12 = -4*r + 12, 2*r + 3*t = 12. Suppose r*x - 2*x = -5*c + 40, -2*c = -5*x - 16. Let s = 25 - c. What is the units digit of s?
7
Let k = 12 - 11. Let j be (-4 - -1 - -9) + k. Suppose s - 23 = -j. What is the units digit of s?
6
Let j(n) = -n + 2. Let t be j(-2). Let q be 0 + (t - 6/3). What is the units digit of q/((-27)/(-21) - 1)?
7
Suppose 4*y + 3*f - 24 = 0, 3*f - 13 = -1. Let a be (1/y)/((-5)/(-525)). What is the units digit of 28/a*1*25?
0
Suppose 14845 + 1171 = 22*j. What is the tens digit of j?
2
What is the tens digit of (4 - (-11 - 9973))/2?
9
Suppose 0*n - 4*n - 4*x = -44, 4*n = 5*x + 35. Suppose -n*i + 8*i = -224. What is the tens digit of i?
1
Let t = -4 + 12. Suppose t = -v - 4*w + 38, 0 = -2*w + 4. Let i = 5 + v. What is the units digit of i?
7
Let i(k) = 15*k. Let j be i(3). Let d = 33 - 29. Suppose -d = -h + j. What is the tens digit of h?
4
Let h(b) = -5*b**2 - 52*b + 4. What is the units digit of h(-10)?
4
Let i(u) = 2*u**3 + 28*u**2 - 12*u - 2. What is the units digit of i(-13)?
2
Suppose -4*w - 29*q + 14700 = -30*q, 4*q + 3660 = w. What is the thousands digit of w?
3
Suppose 5*y - 3187 = -4*l, 0 = 3*y - 20*l + 22*l - 1911. What is the units digit of y?
5
Suppose 4*b = -o + 5253, 0 = 4*b + 3*o - 4377 - 886. What is the hundreds digit of b?
3
Suppose j + 28 = -0*j + u, 67 = -4*j - 5*u. Suppose -2*r = -7*r + 200. Let c = r + j. What is the units digit of c?
7
Suppose -235 = -5*f - 4*l, l + 132 = 5*f - 103. Suppose -6 = -2*r, -4*q - 2*r - 2*r = 8. Let c = q + f. What is the tens digit of c?
4
Let o = 569 + 37. What is the hundreds digit of o?
6
Suppose 0 = -5*p + 2 + 3. Let f(i) = -76*i**3 + i**2 - i + 1. Let n be f(p). Let j = n + 127. What is the tens digit of j?
5
What is the units digit of (-34610)/(-26) - (-60)/(-390)?
1
Let u(j) = -4*j**2 + 2*j**2 + 2 + 5*j**2 - 2*j**2 + 5*j. Let v be u(-6). Suppose -v - 15 = -w. What is the tens digit of w?
2
Suppose 0 = -4*h + 3*q + 7622, -h - 18*q + 16*q + 1911 = 0. What is the tens digit of h?
0
Suppose 487*b - 486*b = 452. What is the tens digit of b?
5
Let r = 377 - 566. What is the tens digit of (r/(-18))/((-1)/(-10))?
0
Suppose 4*s = -2*h - 0*h + 2620, h = 0. Suppose 1182 = 11*t - s. What is the units digit of t?
7
Let l(v) = 507*v - 1 - 9 - 506*v + 8*v**2. What is the tens digit of l(5)?
9
Let n = 1216 - 707. What is the hundreds digit of n?
5
Suppose p - 5*q + 11 = 30, 5*p - 23 = q. Suppose 3*u - f = 317, 0 = 2*u - u + p*f - 123. Suppose 5*y - 3 = u. What is the units digit of y?
2
Suppose 2108 = 4*x + k - 5*k, -3*k = x - 519. What is the units digit of x?
5
Let a(h) = -h**3 + 11*h**2 + 11*h + 12. Let z be a(12). Suppose -4*x - 3*t + 360 + 134 = z, 0 = 3*t + 6. What is the units digit of x?
5
Suppose 9*j - 64 = -7*j. Suppose -68 = -4*d + j. What is the units digit of d?
8
Let v(a) = 17*a**2 - 81*a + 27. What is the thousands digit of v(-9)?
2
Let f(x) = -x**3 - 49*x**2 - 142*x + 43. What is the tens digit of f(-46)?
2
Let u = 4 + 4. Let m be 2/u + (-14)/(-8). Suppose k - m*k - b = -8, 0 = -3*k - b + 18. What is the units digit of k?
5
Suppose -46 = -3*u + 239. What is the tens digit of u?
9
Suppose 0 = 9*i + 1041 - 11328. What is the hundreds digit of i?
1
Let n be (-19)/(-7) + 6/21. Suppose -4*q + n*z + 5 = 0, q = -0*q + 5*z - 3. Suppose 0 = -q*i + 3 + 13. What is the units digit of i?
8
Let r = -1184 - -2118. What is the units digit of r?
4
Let c be 3*6/(-9) - -2. Suppose 2*x + 2 = 4*x - u, c = -5*x - u + 12. Suppose -x*o = l + l, 3 = -o - 4*l. What is the units digit of o?
1
Let m(o) = -416*o**3 - 4*o - 5. What is the units digit of m(-1)?
5
Let x(w) = 3*w**3 - 3*w**2 + 2*w + 1. Suppose 0 = -y + 10 + 4. Suppose -5*v - 4 = -y. What is the units digit of x(v)?
7
Let b = -752 - -896. What is the hundreds digit of b?
1
Let h(s) = s**2 + 6*s - 14. Let n be h(-8). Suppose -n*t + 4 = -0*t. What is the units digit of (t/(-1) - -1)*-24?
4
Let g be 0/(-5 + 4/1). Suppose g = -9*r + 17 + 19. What is the units digit of r?
4
Suppose 1088 = 6*v - 2248. What is the hundreds digit of v?
5
Suppose -5*h + 4*y = -89 + 1268, h + 259 = -5*y. Let l = 392 + h. What is the tens digit of l?
5
Let k = -91 + 143. Suppose 0 = 2*h - 4 - 6. What is the tens digit of k - (-1 + h - 0)?
4
Let j be 3/(-5) - (-1 + (-3309)/15). What is the tens digit of -4 + j + (4 - 1)?
2
Suppose -4*b + 8195 = 3*h, -h = 14*b - 17*b - 2723. What is the units digit of h?
9
Let m(t) = -39*t + 76. What is the hundreds digit of m(-17)?
7
Let u(r) = -r**3 - 2*r**2 + 2. Let p be u(-2). Suppose -5*d - 13 = -4*q, p*q - 7 = -q + d. Let s(m) = -m + 3. What is the units digit of s(q)?
1
Let f(h) be the second derivative of h**5/20 + 3*h**4/4 + h**3/6 + 5*h**2/2 + h. Let q be f(-9). What is the tens digit of q/(-14) + 1064/49?
2
Suppose 0 = -5*w + 4205 - 930. What is the hundreds digit of w?
6
Suppose 6 = -r + 11. Let b be 273/15 - (-1)/(-5). Suppose -68 = -r*m - b. What is the units digit of m?
0
Let w(g) = 6*g - 14. Let i(c) = 3*c - 7. Let a = -38 + 41. Let o(t) = a*w(t) - 5*i(t). What is the units digit of o(7)?
4
Let l(n) = 58*n**2 - 47*n - 14. What is the thousands digit of l(-7)?
3
Suppose x + 19 = 2*x. Suppose 5*f - x = 3*i, -i - 3*i - 8 = 2*f. Suppose 0 = -5*l - 15, -f*l = -4*u + 2*l + 100. What is the units digit of u?
2
Let z(n) = -n**2 + n. Let r be z(3). What is the units digit of ((-6)/5)/(r/320)?
4
Let t = 1427 - 689. What is the units digit of t?
8
Let j(h) be the second derivative of -61*h**3/6 + h**2/2 + 6*h. What is the tens digit of j(-2)?
2
Let n(d) = d**3 - 4*d**2 + 8*d + 30. What is the tens digit of n(8)?
5
Let r(o) = 4*o**2 - 2*o + 2. Let s be r(1). Suppose 4*j + s*w = 60, 3*w = -2*j + 4 + 30. What is the tens digit of j?
1
Let n = 952 + 378. What is the hundreds digit of n?
3
Let c = -69 - -162. Let f = -40 + c. What is the units digit of f?
3
Suppose 3*u = 16 - 1, 4*u - 23 = -3*j. What is the units digit of -1*-2*(-2)/(-4)*j?
1
Let g(w) = 27 - 13 + 24*w + 16 + w**3 + 0*w**3 - 22*w**2. What is the units digit of g(21)?
3
Suppose -5*g - p + 7832 + 2843 = 0, -2*g + p + 4277 = 0. What is the tens digit of g?
3
Let n be 8/(-36) - 178/9. What is the tens digit of n/(-90) - (-374)/18?
2
Let n = -1 - -10. Suppose -75 = -14*y + n*y. What is the units digit of y?
5
Suppose -2*f + h + 46 = -179, h = -4*f + 459. What is the hundreds digit of f?
1
Suppose p + 208 = -2*x + 909, -1048 = -3*x - 5*p. Suppose x = 5*b + w + 2*w, -3*b - 2*w = -210. What is the tens digit of b?
7
Suppose -4*g - 2*z + 504 = -0*g, 0 = 3*g + 3*z - 378. Suppose -8*p = -6*p - g. What is the tens digit of p?
6
Suppose -1023 = -5*w + u, 0*u + 621 = 3*w + 3*u. What is the units digit of w?
5
Let n be ((-3)/3)/(5/(-355)). Let a = 306 + -217. Suppose -n = -4*b + a. What is the units digit of b?
0
Let r be ((-2)/4)/((-1)/(-96)). Let q be r/(-15) - (-2)/(-10). Suppose c + 5 = 0, c + 119 = q*i + 30. What is the tens digit of i?
2
Suppose 4*w + w - 550 = 0. Suppose 2*s + 0*z = 4*z + 80, w = 4*s + 2*z. What is the tens digit of s?
3
Suppose l - 1 = 1. Suppose -l*m + 102 = 4*c, 0 = 2*m - 4*m - 3*c + 97. What is the tens digit of m?
4
Suppose 0 = -5*s + 2*j + 3*j - 20, -4*s = 4*j - 16. Suppose 126 = 2*t - s*t. Suppose 0 = g + 25 - t. What is the units digit of g?
8
Suppose -272 = -14*h + 6*h. Let s = h - -15. What is the units digit of s?
9
Let z = -436 + 505. What is the tens digit of z?
6
Let p = -4 + -26. Let k be 6/9*p/(-2). Let u = 44 + k. What is the tens digit of u?
5
Let u = 9534 - 5111. What is the thousands digit of u?
4
Suppose -4*w - 124 + 400 = 0. Let p be (-2)/7 + ((-90)/(-21) - -3). Suppose p = -2*x + w. What is the units digit of x?
1
Let m = -273 + 2913. What is the tens digit of m?
4
Let v be (35/(-14))/1*4/5. What is the units digit of (-1 - v)/(4/36)?
9
Suppose -4*y = 4*b - 4056, y + 2847 + 1204 = 4*b. What is the hundreds digit of b?
0
What is the hundreds digit of (20/(-3))/(-8*12/60624)?
2
Suppose -3*o + 10011 = 771. What is the tens digit of (-4)/12 - (o/(-15) + 4)?
0
Suppose 0*g - 4*g = 0, -3*z - 4*g + 876 = 0. What is the tens digit of z?
9
Let n(z) = 6*z - 26. Let b be n(15)