 + 2023. Suppose w = g - 4*g, 0 = 4*n + g - t. What is the units digit of n?
8
Let t be 0/(2 + (4 + -12 - -3)). What is the hundreds digit of (14 - t)*(-1230)/(-21)?
8
Suppose 0 = -3*u - 2*g - 332, -4*g = -9*u + 6*u - 326. What is the units digit of (-34)/(-20) + (-33)/u?
2
Let g(d) = d + 5. Let u be g(-2). Let t be (u/(-2))/3*-6 - -1. Suppose -2*x + 18 = -0*x + t*p, -p = -1. What is the units digit of x?
7
Let m = -52 - -52. Suppose 0 = -m*p + 2*p - 10. Let d(z) = -z**3 + 9*z**2 + 4*z - 5. What is the hundreds digit of d(p)?
1
Let k(r) = 3*r**2 + 8*r - 38. Let j be k(-9). Suppose 19*h = j + 2622. What is the tens digit of h?
4
Let w(a) be the first derivative of -5*a**2/2 - 25*a + 16. Let y(n) = -2*n - 8. Let d(l) = -4*w(l) + 11*y(l). What is the tens digit of d(-12)?
3
Suppose -v = 4*z - 208, -2*z + 36 = 2*v - 62. Let w(q) = -q**3 + 15*q**2 + 11*q + 67. Let a be w(16). Let n = a + z. What is the units digit of n?
0
Let f(i) = 10*i**2 + 67*i - 506. What is the units digit of f(11)?
1
Suppose 0 = -20*s + 11*s + 108. Suppose 34*l = -s*l + 14858. What is the hundreds digit of l?
3
Let n(f) = 8*f**2 + 51*f + 497. What is the tens digit of n(-22)?
4
Suppose -4*a + 29536 = -25*w + 29*w, -5*a - 3*w = -36918. What is the thousands digit of a?
7
Let c(g) = -g**3 - 2*g**2 - g + 12908. What is the thousands digit of c(0)?
2
Let p be 2/(-5) - -3*(-456)/(-45). Suppose -2*j = -j - p. What is the tens digit of ((-396)/j)/((24/(-15))/4)?
3
Let m(s) = s**2 + 26*s + 268. Let x be m(-17). Let y be (-2 + 5)*(-59)/3. Let h = y + x. What is the units digit of h?
6
Let j(n) = -68*n**2 + 27*n - 93. Let y(w) = 68*w**2 - 27*w + 93. Let v(x) = 5*j(x) + 6*y(x). What is the units digit of v(4)?
3
Let w(y) = -y + 1. Let t be w(-1). Suppose h + 2*r = 299, -4*h + 0*r = t*r - 1220. Let n = h + -208. What is the units digit of n?
9
Suppose -3*i - p + 5 = -2*i, 2*i - 13 = -3*p. Suppose -5 = -i*w - l, 0 = w + 4*l + 9 + 6. Suppose 0 = w*z - 752 + 157. What is the units digit of z?
9
Let p = 360 + -351. Suppose -p*a = -2634 + 1122. What is the units digit of a?
8
Let x(z) = -18*z + 274. Let q be x(34). Let b = -326 - q. What is the tens digit of b?
1
Suppose 2 = -5*k - 3. Let o be -2 - (-18 + 0/k). Suppose -19*q = -o*q - 291. What is the tens digit of q?
9
What is the units digit of 3 + (5 + (-1 - -5 - -8590))*1?
2
Let x = 10571 - 3641. What is the hundreds digit of x?
9
Let p(w) = 24*w**2 - 7*w + 20. Let m(t) = 8*t - 287. Let c be m(35). What is the tens digit of p(c)?
4
Let i(o) be the third derivative of -91*o**6/120 - o**5/30 - o**4/3 - 2*o**3/3 + 97*o**2. What is the tens digit of i(-2)?
3
Let z(h) be the first derivative of -h**4/4 + 2*h**3 + 11*h**2/2 - h - 56. What is the tens digit of z(-4)?
1
Let z(j) = 0 - 13*j**2 + 7 - 5*j + 2 - j**3. Let u be z(-13). Let c = u + 14. What is the units digit of c?
8
Let j = 14215 - 8230. What is the hundreds digit of j?
9
Suppose -9 + 75 = 6*o. Suppose -3*n + o + 18 = -5*f, -4*n + 16 = -f. Suppose d - n*i + 8*i = 68, 0 = 5*d - 2*i - 421. What is the units digit of d?
3
Suppose 0 = 2*y - 4*c - 7986, 15972 = 346*y - 342*y - 4*c. What is the hundreds digit of y?
9
Let m(d) = -398*d - 9. Let s(r) = 5*r**2 - 27*r + 7. Let c be s(5). What is the hundreds digit of m(c)?
1
Let z(b) be the second derivative of -11/2*b**2 + 0 - 7*b + 13/3*b**3 - 1/12*b**4. What is the tens digit of z(21)?
9
Let f = 553 - 284. Let k = f - 3. What is the tens digit of k?
6
Suppose 0 = 3*j + 3*h - 21, 81*j = 76*j - 2*h + 26. Let a = 1375 - 930. Suppose -j*w = w - a. What is the units digit of w?
9
Let v = 55272 - 27476. What is the ten thousands digit of v?
2
Let b be 6088/(-18) + ((-4)/9)/(-2). Let q = b + 1039. What is the tens digit of q?
0
Suppose 12*y - 27 = -3. Let q(s) = -s**2 + y + 3 + s + 165*s**3 - 166*s**3. What is the units digit of q(0)?
5
Suppose 1255809 = 33*t - 275820. What is the ten thousands digit of t?
4
Let r(u) = 2*u**2 - u - 2. Let b be r(-2). Let m = b + -5. Suppose m*w - 5*x = 257, 3*x = 5*w - 2*w - 261. What is the tens digit of w?
8
Suppose -4*b - v - 112 = 447, 2*v - 292 = 2*b. Let q = 328 + -92. Let c = q + b. What is the tens digit of c?
9
Let n(c) = -16*c**2 - 6*c - 8. Let r be n(7). Let o = r + 490. What is the units digit of (37/74)/(342/o + 1)?
6
Suppose 0 = 25*g - 20*g + 3*m - 65935, -3*m - 39537 = -3*g. What is the tens digit of g?
8
Let m be 30/(-10) + 14 + 1. Suppose -m*u = -15*u. Suppose -22*k + 18*k + 340 = u. What is the tens digit of k?
8
What is the thousands digit of 7 + 259/(-42) - (-1334011)/42?
1
Let s be 20889/44 - (-5)/20. Suppose 5*r + 2*o - 2427 = o, s = r - 5*o. What is the units digit of r?
5
Suppose -3*r + 48 = 5*j + 5, -3*j - 2*r + 26 = 0. Let b(f) = -19*f - 9 + 17*f - j*f. What is the tens digit of b(-9)?
8
Let i(u) = -1308*u**3 + 21*u**2 + 35*u - 2. What is the units digit of i(-3)?
8
Suppose 5*j - 4*w = -5*w + 23, -3*j + 9 = -w. Suppose 7*y - j*y = 18. What is the units digit of ((-100)/12)/((-2)/y)?
5
Let b = -731 - -586. What is the tens digit of (174/b)/((-3582)/(-3585) + -1)?
3
Let h(n) = -7*n - 51. Let z be h(-23). Suppose 2*u = 4*u + 2*f - z, 272 = 5*u + 4*f. Let b = -34 + u. What is the units digit of b?
8
Suppose -14*t + 4*t = -12*t + 68876. What is the thousands digit of t?
4
Let m = -59 - -804. Let u = 2473 - m. What is the thousands digit of u?
1
Let z(o) = 435*o - 89. What is the thousands digit of z(83)?
6
Let b(g) = -151*g**3 + 34*g**2 + 3*g + 20. What is the thousands digit of b(-3)?
4
Let h be (-4)/(-18) + (328/(-9))/2. What is the units digit of (726/h - -3)*-21 + -6?
8
Let i(b) = 29*b**2 + 4*b + 17 - 21 - 5*b. Let u be i(-4). Suppose -u = -6*h + 4. What is the tens digit of h?
7
Let h(k) = 30*k**2 - 12*k + 128. What is the hundreds digit of h(7)?
5
Let j(c) be the second derivative of c**3/6 + 27*c**2/2 + 8*c. Let k be j(21). Let u = 79 - k. What is the units digit of u?
1
Let i = -117 + -283. Let t = 930 + i. What is the hundreds digit of t?
5
Let m be (-158940)/(-240)*(-4)/(-3). Let r = m - -142. What is the units digit of r?
5
Let b be 1437/(-2)*14/(-21). Let h(y) = -3*y**3 - 3*y**2 - 5*y. Let s be h(-4). Suppose 7*f = -s + b. What is the tens digit of f?
4
Let b = -5682 + 9967. What is the hundreds digit of b?
2
Suppose -28*r - 25 = -33*r. Suppose -r*y + 13874 = 9*y. What is the hundreds digit of y?
9
Suppose 2*n + 2*d + 1223 = 3*n, -3*n = 3*d - 3714. Suppose -9*p - 925 = -3*k - 10*p, 0 = -4*k - p + n. What is the hundreds digit of k?
3
Suppose 0 = -88*w - 105*w + 257269. What is the tens digit of w?
3
Suppose 3*s + 33576 = 4*j, -3*s - 9 - 3 = 0. What is the units digit of j?
1
Let x(b) = 212*b**2 - 18*b + 5. Let n(f) = 213*f**2 - 19*f + 4. Let q(d) = -4*n(d) + 5*x(d). What is the hundreds digit of q(3)?
8
Let y(i) = i**2 - 10*i + 4. Let j be y(10). Let z be 1/j - (-4)/(-16)*-15. Suppose -z*c + 432 = 84. What is the tens digit of c?
8
Suppose -51*x + 455400 = 9*x. What is the units digit of x?
0
Let v = 33836 + -15610. What is the units digit of v?
6
Let w = -14013 + 24993. What is the tens digit of w?
8
Suppose 2*a - 3 = 5. Suppose 0*x - 5*x + 3*w = 144, -4*w - 96 = a*x. Let j = 66 + x. What is the tens digit of j?
3
Suppose -3*w + 4868 = q, -7*q + 4*w = -9*q + 9746. What is the units digit of q?
3
Suppose 0 = 82*x - 80*x + 3*h - 25106, 3*h = -6*x + 75330. What is the thousands digit of x?
2
Let s be (1/(-4))/((-17)/68). Let k be s/3 + (-187)/(-33). Let y(b) = -b**3 + 8*b**2 - 6*b - 7. What is the units digit of y(k)?
9
Suppose 0 = -63*s + 622284 + 133842. What is the units digit of s?
2
Let g(w) = -w**2 + 7*w - 9. Let q be (-1 + -2)/(3/(-4)). Let j be g(q). Suppose m + j*h = 4*m - 393, -2*m + 250 = 2*h. What is the units digit of m?
8
Suppose -5*s - 25 = 0, 0 = -5*v + s - 3*s - 10. Suppose 12*m - 17*m + 35 = v. Suppose -m*r - 104 = -11*r. What is the tens digit of r?
2
Let t = -103 - -104. Let d be 2656/20 - t/(1 + -6). Let z = d + 90. What is the units digit of z?
3
What is the hundreds digit of -1752*(-31)/(-155)*10/6*-19?
0
Suppose 13400 = -3*c + 3*a + 53078, 4*a - 66148 = -5*c. What is the ten thousands digit of c?
1
Suppose 0 = -3*a + 17*a - 2226. Let h = a - -103. What is the tens digit of h?
6
Let b(g) = 151*g + 264. What is the units digit of b(29)?
3
Let w(c) = 94*c**2 +