24. Suppose 3*f + 2*f + q - 359 = 0, v*f - 145 = q. What is the units digit of f?
2
Suppose -5*d = -3*w + 134521, -w - 16*d + 44807 = -11*d. What is the thousands digit of w?
4
Suppose 2872*f - 2884*f - 5111 = -157859. What is the units digit of f?
9
Suppose -8*w = -11*w + 6. Suppose -w*v - 5*t = -0*t - 702, -t = 4*v - 1386. What is the tens digit of v?
4
Suppose -12*h = -15*h + 543. Suppose 182*u - h*u - 56 = 0. What is the units digit of u?
6
Suppose -3*q - 16 = -6*q - 4*i, -4*q - 3*i = -12. Let m(x) = -5*x + 159. Let y(c) = c - 3. Let n(d) = m(d) + 6*y(d). What is the hundreds digit of n(q)?
1
Let t(i) = 14*i + 847 + 9*i + 724 - 26 + 9*i. What is the thousands digit of t(0)?
1
Let n(m) = 14*m**2 - 10*m - 331. What is the tens digit of n(-33)?
4
Let a be 5632 + (-4 + 2 + 2 - 4). Suppose a = 4*n - 5*g, -3*g - 5101 = -4*n + 527. What is the hundreds digit of n?
4
Let b = 313 + -308. Let i = 72 - 119. Let z = b - i. What is the tens digit of z?
5
Let d = 46277 + -32525. What is the hundreds digit of d?
7
Suppose 2*w + 3*w + 53 = 3*d, 0 = 2*d + 5*w - 27. Suppose 0 = -u - 3*u - 2*y + 1576, d = -4*y. What is the tens digit of u?
9
Let z = -92 + 98. Suppose 347 = z*c - 481. What is the units digit of c?
8
Let o be 2/(-5) + 54/10. Let x(i) = -7*i + 2 - 9 - 3 - o*i. What is the units digit of x(-10)?
0
Let q = -31285 + 48650. What is the units digit of q?
5
Let u(b) = b**3 - 10*b**2 - 27*b + 16. Let g(n) = -n**2 - 15*n - 21. Let f be g(-12). Let a be u(f). Suppose a = -6*c + 2152. What is the tens digit of c?
3
Let j(t) = -t**2 - 13*t - 11. Let b(o) = 5*o**2 + 66*o + 54. Let n(w) = 2*b(w) + 11*j(w). Let h be n(-10). What is the hundreds digit of -327*(3 + (-4 - 2/h))?
1
Let r(g) = -g**3 - g**2 + 8*g + 52. What is the tens digit of r(-6)?
8
Let g be 4/(-18) + -3 + (-114)/(-27). Let n be 2 - (-1 - g)/(-1). Suppose 6*f - 208 = -4*h + 3*f, -4*h - 5*f + 208 = n. What is the units digit of h?
2
Let o = 14 - 23. Let q = -7 - o. Suppose 0 = q*p + p - 2*x - 103, 0 = -4*x - 8. What is the tens digit of p?
3
Suppose k = 2*k - 2*d - 66, 2*d + 136 = 2*k. Let w = k - -25. What is the tens digit of w?
9
Let w(u) = -u**3 - 3*u + 13. Let k be w(7). Let j = 785 + k. What is the hundreds digit of j?
4
Let f(p) = p**2 + 9*p - 32. Let x be f(3). Suppose 284 = 2*g - 4*q - x, -g - q + 153 = 0. What is the tens digit of g?
5
Let i(d) = 56384*d**2 + 208*d + 3. What is the hundreds digit of i(-1)?
1
Let y(g) = g**2 + 5*g + 4. Let f be y(-1). Suppose -9*c + 0*c - 864 = f. Let h = c + 253. What is the units digit of h?
7
Let z(n) = -n. Let u(b) = 3*b + 17. Let a(f) = u(f) + 4*z(f). Let l be a(14). Suppose 0 = -l*t - 3*t + 312. What is the units digit of t?
2
Suppose 23511 = -14*g - 14121. What is the units digit of 1/((66/g)/(-11))?
8
Let g = 190 - 300. Let o = g + 173. What is the units digit of o?
3
Let h = 0 + -88. Let u be (-946)/6 + 50/(-150). Let z = h - u. What is the units digit of z?
0
Let t = 18280 - 18215. What is the units digit of t?
5
Suppose 5*y = 2*j - 154, 3*y = j - 74 - 18. Let n = y + -13. Let o = n - -153. What is the hundreds digit of o?
1
What is the hundreds digit of (-24)/42*(-7)/(-3) + 55137/9?
1
Suppose -6*s - 36 = -10*s. Suppose -5138 = -s*n + 2*n. What is the units digit of n?
4
Let w = -14031 + 27375. What is the thousands digit of w?
3
Let w = -416 - -654. Let g = 458 + w. What is the tens digit of g?
9
Let v = -901 + 903. Let i(g) = 108*g**3 + 3*g**2 - 9*g + 4. What is the tens digit of i(v)?
6
Suppose -8*m = -0*m - 24. Suppose 2*i = -m*i - 250. Let x = -29 - i. What is the tens digit of x?
2
Let t(m) = -22*m**3 + 37*m**2 + 266*m - 20. What is the hundreds digit of t(-6)?
4
Suppose -u + 5 = -2*a + a, -2*a = 3*u + 10. Let q be (-8 + 9)*(a + 0). What is the tens digit of (41 - q) + 1*-2?
4
Suppose -5 = 3*g + 4*p + 14, 4*p + 15 = g. Let j be (-3)/(-6)*(1 - 14 - g). What is the tens digit of (2/j)/(18/(-540))?
1
Suppose -3*z = 2349 - 690. Let o = -341 - z. Suppose 2*j - p - 203 = 0, 3*p = 2*j - p - o. What is the units digit of j?
0
Let n = 23 - 19. Suppose -j = -4*b - 847, n*j - j + 5*b = 2490. What is the units digit of (-6)/((-30)/j) - 4/2?
5
Suppose 3*o - 4*c - 1347 = -c, -o + 2*c + 447 = 0. Let g = -308 + o. What is the hundreds digit of g?
1
Suppose 57*t = 178*t - 1930192. What is the ten thousands digit of t?
1
Let q(o) = -228*o - 627. What is the units digit of q(-16)?
1
Let l(x) = 3*x**3 - 39*x**2 + 226*x - 273. What is the ten thousands digit of l(28)?
4
Let h(s) be the third derivative of 683*s**4/12 + 4*s**3/3 - 40*s**2 + s. What is the units digit of h(1)?
4
Let p(d) = 70*d**2 + 10*d - 19. Let b be p(2). Let i = 488 - b. What is the hundreds digit of i?
2
Let h(f) = -f**3 - 15*f**2 + 12*f - 36. Let p be h(-16). Let m = 47 - p. Suppose -m = -9*u - 1. What is the units digit of u?
2
Suppose -3*r = 4*t + r - 1528, -5*r + 394 = t. Suppose 4*q = a - 121, -4*a - 8*q + t = -3*q. What is the tens digit of a?
0
Let a(i) = i**2 - i + 225. Let w be a(0). Suppose -1328*j + w = -1327*j. What is the units digit of j?
5
Suppose 5*z + 5*y - 128600 = 0, -2130*y = -4*z - 2129*y + 102895. What is the hundreds digit of z?
7
Suppose 241*s - 489*s = -237*s - 460647. What is the thousands digit of s?
1
Let u be (0 + -5 + 4)/(2/(-32)). Suppose u*n - 268 = 14*n. Let h = n + 11. What is the units digit of h?
5
Suppose 27*l = 10*l + 238. Let g be (2 - 4665/(-35)) + (-4)/l. Let t = -77 + g. What is the tens digit of t?
5
Let m(u) = -u**2 + 62*u - 200. Suppose 1577*q + 162 = 1583*q. What is the tens digit of m(q)?
4
Suppose -18*m = -72335 - 35449. Suppose -432*y + 426*y + m = 0. What is the tens digit of y?
9
Let g(m) = m**2 - 13*m - 20. Let c = -114 + 103. What is the units digit of g(c)?
4
Suppose 331 = -3*s - 17. Let g = s + 259. Suppose -5*p + 4*l = -286, 3*p - 3*l - g - 31 = 0. What is the units digit of p?
4
Let c(n) = -6*n - 32. Let x(s) = 24*s + 23*s - 46*s - 3 + 2. Let t(z) = -c(z) + 4*x(z). What is the units digit of t(11)?
8
Suppose 5*v - k = 99172, -1197*v + 1192*v + 5*k = -99180. What is the units digit of v?
4
Let l = -17802 - -30691. What is the thousands digit of l?
2
What is the units digit of (-289956)/(-5) + 20/(-100)?
1
Let r(v) = 10*v - 47. Let q = -21 - -80. Suppose z + q = 5*z + j, 5*z - j = 85. What is the hundreds digit of r(z)?
1
Let s(a) = -a**3 + 52*a**2 + 22*a - 382. What is the thousands digit of s(49)?
7
Suppose -i + 2117 = -4*k, 4*i - 3*i - k = 2123. What is the units digit of i?
5
Suppose 6 = 3*r, -5*a = -6*r + 11*r - 66640. What is the hundreds digit of a?
3
Let c(b) = -48*b**3 + 2*b**2 + b + 2. Let r be c(-2). Let a = 1113 - r. What is the hundreds digit of a?
7
Let t be (-1)/(-3 - 82/(-27)). What is the units digit of 551 - 9/(t/(-6))?
9
Suppose i - 5*f - 186 = 0, -8*f = 2*i - 4*f - 344. Let b = i + -76. What is the tens digit of b?
0
Let r(p) = 6*p - 3*p + p**2 + 7*p - 8. Let g = 21 + -16. What is the units digit of r(g)?
7
Let t(n) = 8*n**2 - 10*n + 15. Let i be t(8). Let r = i - -165. What is the hundreds digit of r?
6
Let i(f) = 458*f + 95. Let y be i(15). Suppose 0 = -4*b + 3*c - 503 + 6098, -5*b = 2*c - y. What is the tens digit of b?
9
Let i = -112 + 101. Let n(k) = -3 + 7*k - 4*k - 4*k. What is the units digit of n(i)?
8
Let t be ((-10)/6)/((-30)/36). Suppose t*w - 2*p + 6 = w, -15 = -w - 5*p. Suppose -3*u + 3*m + 150 = w, -u - 2*m + 4*m + 49 = 0. What is the tens digit of u?
5
Let n = -78413 + 120534. What is the thousands digit of n?
2
Let m(w) = w**2 + 18*w + 18. Let t be m(-1). What is the thousands digit of 1826 + t*(1 - -3) - 5?
1
Let l(y) = 31*y**2 + y. Let u be (13/(-26))/((-1)/(-2)). Let f be l(u). What is the units digit of f/12*(-146)/(-5)?
3
Suppose -16*w - 5*k = -14*w - 13412, -2*w - 2*k = -13430. What is the tens digit of w?
2
Let y = 39 + -45. Let x be -27 - (-16)/y*(-15)/(-10). Let i = x + 107. What is the tens digit of i?
7
Let h = -720 - -1213. Suppose -133 = -2*f + h. What is the hundreds digit of f?
3
Let p(f) = -2*f**3 - 23*f**2 - 7*f - 1. Let k be p(-10). Let z = k + 446. What is the units digit of z?
5
Suppose y = -3*r, 0*y + 2*y + r = 10. Suppose 4*v - y*v = -320. Suppose -f = -v + 20. What is the units digit of f?
0
Suppose 7*n - 20976 = -31*n. Let w = 2320 - n. What is the hundreds digit of w?