 f + 48 = -z. What is the units digit of z?
8
Suppose 285*t = 287*t - 5*k - 137263, t = 4*k + 68639. What is the hundreds digit of t?
6
Let s(u) = 3*u - u**2 - 11*u**3 + 25*u**3 - 13*u**3 + 9 - 23*u. Suppose l = m + 5*l - 22, 0 = -3*m - 2*l + 26. What is the tens digit of s(m)?
6
Let v(x) be the second derivative of 11/6*x**3 - 1/12*x**4 + 7*x + 0 - 11*x**2. What is the units digit of v(7)?
6
Suppose 0 = 2*v - 2*n - 7440, 3*v - 92*n + 94*n - 11180 = 0. What is the hundreds digit of v?
7
Suppose -4*c - 3*r + 245320 = 0, -154378 = -9*c + 5*r + 397592. What is the thousands digit of c?
1
Let u(o) = -o**3 - o**2 + 2*o + 35. Let b = 24 + -26. Let t(l) = -l**3 - 2*l**2 - 3*l - 6. Let g be t(b). What is the units digit of u(g)?
5
Suppose -3*t = -5*x + 8, 5*x + t = 5*t + 4. Let s(n) = 2*n**3 + 3*n**2 + 4*n - 3. What is the hundreds digit of s(x)?
1
Let q be (-5)/(-20) - (-11225)/(-20). Let c = q - -1286. What is the tens digit of c?
2
Let w be 6 + 42/(-12) + 147/(-6). Let m(g) = -35*g + 116. What is the units digit of m(w)?
6
Suppose 4*v = -20, 4*v - v = 2*j + 237. Let s = j + 190. Suppose 0 = 15*g - 16*g + s. What is the tens digit of g?
6
Suppose 328064 = 34*x + 54*x. What is the tens digit of x?
2
Let d = -14 - -16. Let y(v) = 9 - d - 8*v - 2. What is the units digit of y(-7)?
1
Let s = 220 - 224. What is the tens digit of 7 + -1 + s + 275 + 4?
8
Suppose 94*q + 186 = 100*q. Suppose 19*i + 8568 = q*i. What is the units digit of i?
4
Suppose 5*a - 59445 = -3*v, 4*v + 76*a - 74*a = 79288. What is the ten thousands digit of v?
1
Suppose -6*g + 1281 + 7958 = -8959. What is the hundreds digit of g?
0
Suppose 2*v - 10 = 0, 0 = 8*r - 3*r + 3*v. Let n be r/9*-4*3. Suppose -n*a + 114 = 2*x, -4*a + 113 = 2*x - a. What is the tens digit of x?
5
Suppose 0 = 167*c - 21*c - 2014654. What is the ten thousands digit of c?
1
Let d be (-8)/(-3 - (-42)/12). What is the units digit of (24/d)/(3/(-56))?
8
What is the tens digit of (27/(972/2142))/((-1)/(-72))?
8
Suppose -5*h = 4*a - 481, -a - 27 = -2*h - 131. Suppose -6*o + 150 = -a. What is the units digit of o?
4
Let c be 10/(40/24 - (-2)/(-3)). Suppose -2*h = c, 2*d - 4*d = 5*h - 597. What is the tens digit of d?
1
Suppose 0 = -10*c + 16*c + 19*c - 70600. What is the thousands digit of c?
2
Suppose -4*u + 32 = 4*y, 4*u - 8*y + 4 = -3*y. Suppose q = -4*q + 2*a - 23, -u*q + 3*a - 24 = 0. What is the tens digit of 436/12 - (-1)/q?
3
Let v = -87 - -85. Let q be 8*((-7)/v - 4). What is the hundreds digit of 105 + q + -3 + 3?
1
Suppose -299 = 6*u - 317. Suppose u*w - 93 = 1017. What is the hundreds digit of w?
3
Suppose 0 = -2*m - 2*m + 8. Let i be m + 3 + 0 + -10. Let h(k) = k**3 + 5*k**2 - 3*k. What is the units digit of h(i)?
5
What is the thousands digit of (-712 + (0 - (-7 - -3)))*(-86)/6?
0
Let x(q) = 98*q**2 + 337*q + 56. What is the thousands digit of x(-19)?
9
Let d(h) = 63*h - 6. Let p be 6/4*44/33. What is the tens digit of d(p)?
2
Suppose 5*f - 49233 = 6*a - 2*a, 9841 = f + 2*a. What is the hundreds digit of f?
8
Suppose 0 + 30 = 15*n. Suppose -5*z = n*t - 771, 5*t - 5*z - 1117 = 723. What is the tens digit of t?
7
Suppose -6*g + 91049 = -5*s, -3*g + 18*s = 21*s - 45486. What is the units digit of g?
9
Let s(g) = 1344*g**3 - 36*g**2 + 159*g + 1. What is the hundreds digit of s(4)?
0
Let y(s) = -s**2 + 13*s - 35. Let v be y(6). Suppose 0 = -4*c - 2*m + 24, -5*c = -4*m + v*m - 30. Suppose q = c*q - 210. What is the tens digit of q?
4
Let s = -48 + 50. Suppose -3*l + 128 = -2*a + 22, 0 = s*l - 4*a - 68. Let p = 52 - l. What is the tens digit of p?
1
Let q(i) be the second derivative of -i**4/12 - 49*i**3/6 + 41*i**2 - 27*i. What is the units digit of q(-43)?
0
Let n(x) = -15 - 5 + 10*x + 21*x. Suppose f - g - 2 = 0, 4*g = 76*f - 74*f + 2. What is the tens digit of n(f)?
3
Suppose 6*m - 2430 = -3*m. Suppose 2*j + 0*j = 0, -m = -3*i + j. What is the units digit of 87 + ((-2)/6)/((-10)/i)?
0
Let i(y) be the second derivative of 2*y**5/15 + 7*y**4/12 - 2*y**3/3 - 7*y. Let p(c) be the second derivative of i(c). What is the hundreds digit of p(8)?
1
Let a(u) = -6*u + 50. Let c be a(8). What is the tens digit of (2891/(-35))/(c/(-10))?
1
Let x = 152 + -146. What is the units digit of (x - -5 - 9)*32/1?
4
Suppose -5*m + 4175 = c, -14*m = -5*c - 15*m + 20995. What is the units digit of ((-4)/(-16))/(6/c)?
5
Let g be (-4)/30 - 1284/(-180). Let x be 0 + 2 + (-7)/(g/(-3)). Suppose -c - 2*c + 140 = x*i, 3*c + 4*i - 142 = 0. What is the tens digit of c?
5
Let t = 43529 + -19057. What is the ten thousands digit of t?
2
Let m(q) = q**3 + 3*q**2 + q + 3. Let j be m(-2). Suppose -j*s = -5*z - 105, 2*s - 50 + 7 = z. Let k = 0 + s. What is the tens digit of k?
2
Suppose p - 2*g - 2662 = 0, -10*p + 13*p - 7990 = 2*g. What is the hundreds digit of p?
6
What is the ten thousands digit of 13492 + (-2 + (6 - -3 - 7))/2?
1
Suppose -j = -23*t + 25*t - 24270, 0 = -3*j + 4*t + 72850. What is the units digit of j?
8
Let r(q) = -3*q - q - 4*q + 8. Suppose -66 = -3139*y + 3150*y. What is the tens digit of r(y)?
5
What is the units digit of 4/38 + ((-458028)/(-228) - -6)?
5
Let w(s) = -s**3 + 108*s**2 - 292*s + 1075. What is the thousands digit of w(104)?
3
Suppose 31 = -n + 2898 + 3793. What is the units digit of n?
0
Suppose 2*v + 3 = 3*v. Suppose -4*b + 95 = 3*g, -93 + 3 = -v*g - 3*b. What is the units digit of (5/(-3))/(g/(-675))?
5
What is the thousands digit of 2268/162 - (1 + 9124/(-4))?
2
Let z(m) be the third derivative of -7*m**4/24 + 7*m**3 + 11*m**2. Let y be z(6). Suppose -x + 286 = 2*h, y = 5*x - 0*x. What is the units digit of h?
3
Let l = 284 - -50. Suppose -10*j + 12*j - 2*s = 166, 4*j - 3*s = l. What is the tens digit of j?
8
Let a(q) = -q**2 + 8*q + 8. Let g(w) = -w - 1. Let i(p) = -a(p) - 5*g(p). Let f be i(5). Suppose 12*r - f*r - 85 = 0. What is the tens digit of r?
1
Let v(s) = -3 - 4*s**2 - s - 1 - 4*s + 3*s. Let y be v(5). Let d = y + 170. What is the units digit of d?
6
Let l(g) = 3*g + 23. Let i be l(-6). Suppose -5*x + 3002 = 4*d, -3*x + i*d + 0*d + 1816 = 0. What is the tens digit of x?
0
What is the thousands digit of (23956/12 + -5)/((-3)/(-36)) + -2?
3
Let i = 6963 - 2067. What is the tens digit of i?
9
Suppose 4*z = 9*f - 8*f + 15, z = -5*f - 12. What is the thousands digit of (-156)/(-60) - z - 11914/(-10)?
1
Suppose 12*s - 148053 - 309867 = 0. What is the thousands digit of s?
8
What is the thousands digit of -8 + 7 - (-18 - 9976)?
9
What is the hundreds digit of 10 + 38190 + 44/(-22)?
1
Let h(w) = 166*w - 94. Let f be h(10). Suppose -7*v - 2*v = -f. What is the units digit of v?
4
Let t(a) = a**2 + 12*a + 25. Let i be t(-10). Suppose -5*q + 386 = -k - 3*k, 3*q - 229 = i*k. What is the tens digit of q?
7
Suppose 0 = -28*r - 129*r + 5108958 + 5973044. What is the thousands digit of r?
0
Let j(l) = l**2 - 13*l + 38. Let h be j(9). Suppose g + 5*i = 156, 3*i = -h*g - i + 300. What is the tens digit of g?
4
Suppose -4*l = 4*g - 421 - 121555, -3*g = 2*l - 91473. What is the thousands digit of g?
0
Suppose -177 - 303 = -30*r. Let a(b) = b**2 + 17*b + 2. What is the hundreds digit of a(r)?
5
Let o(x) = 1148*x + 501. What is the units digit of o(8)?
5
Suppose -2*c + 2*k - 2713 + 13055 = 0, 4*c = 5*k + 20680. What is the hundreds digit of c?
1
Let i(y) = 3*y**3 - 11*y**2 - 9*y - 163. What is the tens digit of i(15)?
5
Let w be (648/(-270))/((-4)/5). What is the hundreds digit of 6 - (w + -8 - 850)?
8
What is the hundreds digit of -3 + -1 - (-8725 - 7)*2?
4
Suppose -5*t = 4*g - 22817, 2*t - 11*g + 7*g - 9138 = 0. Suppose -4*i + t = -2467. What is the thousands digit of i?
1
Let a be 205 + (-3)/(-4) + (-837)/124. Let t = -5 + 7. Suppose t*b - a = -45. What is the tens digit of b?
7
Suppose 5*v + 5 = -5, 4*r = 4*v + 8. Suppose 119 = -x - r*x + 4*i, 4*x = -i - 442. What is the tens digit of -3 - (0 + 0) - (x + 27)?
8
Let j(k) = 22*k**2 + 56*k + 7. What is the thousands digit of j(14)?
5
Let b(q) = 6 + 4*q**2 + 20*q - 3 + 2. Let o be b(-9). Suppose 0 = 4*m + 4*s - 324, -1 - o = -2*m + 2*s. What is the units digit of m?
8
What is the tens digit of (-5)/(20/6) + 94440/80?
7
Suppose 16*a + 43*a = -21063. What is the hundreds digit of (-1605 - 0)*(-7)/(a/(-17))?
5
Let y = 380 + -369. Suppose 1611 - y = 5*d. What is the hundr