 What is the thousands digit of v(23)?
1
Suppose -7*m = -3*m - 32. Let c(f) = f - 6. Let y be c(m). Suppose -y*t = 4*u - 109 - 83, 222 = 5*u - 2*t. What is the tens digit of u?
4
Suppose 0 = o - 1 - 9. Suppose 5*x = -o + 20. What is the tens digit of (-2346)/(-119) - x/(-7)?
2
Suppose 5*g - 3*w - 18431 = 0, -8*g - 3*w = -9*g + 3667. What is the tens digit of g?
9
Let u = -23519 + 36779. Suppose -8*v + 21*v = u. What is the hundreds digit of v?
0
Suppose 2*q + 165*k - 161*k - 19744 = 0, 4*k = -12. What is the units digit of q?
8
Let k = 59 + -33. Suppose 4*a - 66 = -k. What is the units digit of (a/25)/((-1)/(-170))?
8
Let t(z) = -49*z - 82. Let b be t(-2). What is the hundreds digit of 2127/((-2)/b - (-143)/88)?
4
Let v(r) = 49*r - 166. Let q be v(-22). Let j = q - -2063. What is the hundreds digit of j?
8
Let r be 1145/4 - ((-9)/(-4) - 2). Suppose 5*x + w - r = 91, -3*x + 235 = 5*w. What is the tens digit of x?
7
Suppose 0 = -o - 2*n + 22100, 8980 + 13140 = o - 2*n. What is the thousands digit of o?
2
Let p = 37159 + -18770. What is the tens digit of p?
8
Let c(i) = -163*i**2 + 8*i + 7. Let k(f) = -f**2 + f + 1. Let d(j) = -c(j) - 4*k(j). What is the tens digit of d(-1)?
6
Let l = 16794 - -4493. What is the thousands digit of l?
1
Let z(y) be the third derivative of 167*y**5/6 + 9*y**4/8 - 25*y**3/6 + 162*y**2. What is the thousands digit of z(1)?
1
Suppose 234*r - 57*r = 3708549 - 245898. What is the units digit of r?
3
Suppose 0 = 2*l - 2*q - 10790, 86*l - 2*q = 83*l + 16183. What is the units digit of l?
3
Let w(s) = s**2 - 38*s - 80. Let g be w(37). Let u(b) = -9*b**2 + 3*b - 2. Let o be u(2). Let v = o - g. What is the units digit of v?
5
Let h(m) be the first derivative of 5*m**3/3 + 7*m**2/2 - 17*m - 51. What is the hundreds digit of h(6)?
2
Let i = 4089 + 2718. What is the hundreds digit of i?
8
Let c(j) = 478*j**3 - 3*j**2 + 33*j - 91. What is the units digit of c(3)?
7
Let c be (-33074)/(-69) - 1/3. Suppose -560 = -g + 4*f - 84, g - c = f. What is the tens digit of g?
8
Let h = -26 + 27. Let p be 11/(-33)*(-5 - h). Suppose -p*y = -y - 83. What is the tens digit of y?
8
Let h be 0/(3*12/(-18)). Suppose 0*b - 18*b + 13500 = h. What is the units digit of b?
0
Let m(c) = 3625*c + 407. What is the tens digit of m(7)?
8
Suppose -44 = -23*g + 25*g. Let a = 1 + g. Let y = -1 - a. What is the tens digit of y?
2
Suppose 24*p - 19*p = 10. Let n(u) = u**3 + 37 + 43 + 4 + p*u - 13 + 2*u**2. What is the tens digit of n(0)?
7
Let d be (-2)/14 + 58/14. Let c be 12*8 + (-9 + d)/(-5). Suppose -4*z = -3*m + c + 190, -489 = -5*m + 4*z. What is the tens digit of m?
0
Let a(g) = -5*g - 39*g - 50 - 88. What is the tens digit of a(-13)?
3
Let j = -69 - -144. Let z(n) = -n**3 + 13*n**2 - 11*n - 10. Let d be z(12). Suppose -j = -s - d*u, 14 + 33 = s - 5*u. What is the units digit of s?
7
Suppose 4*x - t = -5*t + 48, 0 = -4*t - 16. Suppose x*d = 10*d + 1260. What is the hundreds digit of d?
2
Let t(f) = 9*f**2 - 14*f + 72. What is the hundreds digit of t(-26)?
5
Let u(c) = -5*c**2 + 3*c + 6*c**2 - c + 4 + 2*c. Let f be u(-3). What is the units digit of -2*1 - f*(-3 - 22)?
3
Let n = 301 + -136. What is the tens digit of (-2262)/(-22) + 30/n?
0
Let h(r) be the first derivative of -r**2 - 13*r - 13. Let z be h(-7). Let f(y) = 128*y**3 - 1. What is the units digit of f(z)?
7
Suppose 665*y - 612*y = 935662. What is the units digit of y?
4
Let g = 28 - 32. Let r(z) = -6*z - 18. Let a(k) = -k - 1. Let p(f) = 30*a(f) - 3*r(f). What is the units digit of p(g)?
2
Suppose -3827985 = -103*o - 2*o. What is the hundreds digit of o?
4
Let y be 12 - -1 - (2 - 1). Let l(p) = 33 - 28 - 3*p + 6*p + 20 + 2*p. What is the units digit of l(y)?
5
Suppose 2087 + 2498 = -5*c - 5*x, 0 = -x - 3. Let j = -586 - c. What is the units digit of j?
8
Let r be (-2 + -3 - -5)/(-3). Suppose 9*c - 17 - 1 = r. Suppose -c*m + 337 - 25 = 0. What is the units digit of m?
6
What is the units digit of (180 - 175) + 730/2?
0
Let r = 200 + -202. What is the units digit of 26*(0 - 1/r)?
3
Let w be 7 - (-3 + 8784/(-9)). Let f = w + -850. What is the hundreds digit of f?
1
What is the ten thousands digit of (5259 - 3)*(1221/(-6))/(-37)?
2
Let h = -54 - -38. Let k = h + 16. Suppose 6 = u - k. What is the units digit of u?
6
Let u(y) be the third derivative of -y**6/72 + y**5/15 - 2*y**4/3 + 9*y**2. Let d(p) be the second derivative of u(p). What is the tens digit of d(-4)?
4
What is the tens digit of (2 - ((-353646)/12)/(-27))/(1/(-6))?
3
Let o(x) = -3*x + 18. Let k be o(-9). Let f = 100 - k. What is the units digit of -3*3/(-9)*f?
5
Let x be ((-6)/(-15))/((-4 + 7)/45). Suppose -c - 4 = -x. Suppose -4*s + 208 = 3*u, c*s - 159 - 135 = -4*u. What is the units digit of u?
6
Let q(m) = -28 - 19*m + 97 + 36. What is the tens digit of q(-11)?
1
Let i be 13231 + 0 + 16/8. Suppose -10*g + i - 2383 = 0. What is the hundreds digit of g?
0
Let z = 1324 - 1326. Suppose 3*h - 47 = y, 0*h + 2*h + 4*y = 22. What is the units digit of z + (-26)/(-10) + 246/h?
7
Suppose 0*j + 45*j - 1719956 = -77*j. What is the tens digit of j?
9
Let v = 26 - 24. Suppose -9 - 7 = -4*w, -3*l = -v*w - 160. What is the units digit of l + -4 + 3/(-1)?
9
Let b = 8978 + 14724. What is the ten thousands digit of b?
2
Let h(k) = k**3 - 11*k**2 + 13*k + 25. Let d be h(11). Suppose -297 = -5*o + 2*o. Let j = d - o. What is the units digit of j?
9
Let r = 73 + -178. Let p = 117 + r. What is the units digit of p?
2
Let o be 6/(1*4/(-24)*3). What is the units digit of (-7)/(42/916)*(9 + o)?
8
Suppose -247 = -2*v + 539. Suppose 0 = n + 3*l - v - 30, 3*n = 3*l + 1257. What is the units digit of n?
0
Suppose -3*q - 5*r + 34614 = 0, 0 = 3*q + 4*q + 4*r - 80743. What is the units digit of q?
3
Let b = 23375 + -4543. What is the units digit of b?
2
Let b(f) = f**3 - 9*f**2 + 8*f - 40. Let v be b(9). Suppose 0 = 2*j + 26 - v. Suppose 0 = -5*o + j*m + 25, -o - 3*m = -0*m - 23. What is the units digit of o?
8
Let n = 22528 - 17209. What is the units digit of n?
9
Suppose 20 = -5*v + 3*n, 24 + 24 = -4*v - 4*n. Let y(z) = -51*z + 98. What is the tens digit of y(v)?
5
Suppose -7*l + 76 = -2*l + 4*m, l + 3*m = 13. Suppose -9*o = l*o - 41625. What is the thousands digit of o?
1
Let p(q) = 2557*q - 405. What is the units digit of p(4)?
3
Let o(z) = 7709*z**2 - 97*z + 97. What is the units digit of o(1)?
9
Let i(s) = 3*s**3 - 6*s**2 - 8*s + 3. Let a be i(9). Suppose 134*y - 146*y = -a. What is the hundreds digit of y?
1
Let b(s) = 12*s - 15. Let n be b(11). Let v = n - -34. Let j = 421 - v. What is the units digit of j?
0
Let z(u) = 6*u**2 - 5*u + 35. Let m(k) = -12*k + 6. Let c be m(0). What is the units digit of z(c)?
1
Let g be (11 + -5)*2/(-4) - -8. Let f be g + (-8)/4 + -3. What is the hundreds digit of (1 - f)/(-2 - 291/(-145))?
1
Let z = 28060 + 4391. What is the tens digit of z?
5
Let q(h) = 8*h - 15. Let n(v) = 7*v - 15. Let o(w) = -7*n(w) + 6*q(w). Let f be o(15). Suppose f = -3*d - d + 40. What is the tens digit of d?
1
Let s(w) = -2*w**3 - 8*w**2 - 5*w - 327. Let j(g) = -g**3 - 2*g**2. Let c(z) = 3*j(z) - s(z). What is the units digit of c(0)?
7
Let u(l) = 164*l**2 + 22*l + 93. What is the tens digit of u(-5)?
8
Let x(g) = -g**3 - 26*g**2 - 6*g + 25. Let i(p) = -p**3 + 13*p**2 - 15*p + 10. Let h be i(12). What is the hundreds digit of x(h)?
1
Let l(b) = -2*b - 24. Let p be l(-14). Suppose 4*d - 2*j - 383 = 11, -p*j = -d + 95. What is the units digit of d?
9
Suppose 0 = -22506*k + 22502*k + 119176. What is the tens digit of k?
9
Let g(w) = 112*w**3 + 31*w**2 - 17*w + 47. What is the units digit of g(4)?
3
Let a(v) = -9*v - 63. Let b be a(-7). Suppose -5*t - 3*l + 212 = -5*l, b = 5*t - 3*l - 208. What is the tens digit of (65/(-20) + -5)*t/(-3)?
2
Let c(p) = -p**3 + 83*p**2 - 309*p + 289. What is the units digit of c(75)?
4
Suppose 17*c = 15*c + 892. Suppose -2*s - 3*a + c = -8*a, -892 = -4*s + 4*a. Let r = -66 + s. What is the tens digit of r?
5
Let v(k) be the third derivative of -k**5/60 + 11*k**4/24 + 5*k**3/3 - k**2 + 17. What is the tens digit of v(9)?
2
Let x(r) = -66 + 15*r + 12*r + 71 + 72*r**2. What is the units digit of x(-3)?
2
Let v(u) = -3*u**2 + 82*u - 12. Let b(d) = d**2 - d + 2. Let z(a) = -4*b(a) - v(a). What is the tens digit of z(-52)