se -3*c = -2*j - f, -4*j - 227 = -5*c + 1809. What is the hundreds digit of c?
4
Let l be (-6 + (-196)/(-35))/((-2)/5790). Let r = l + -628. What is the units digit of r?
0
Suppose 2842*r = 2837*r + 5, 178718 = 6*o + 2*r. What is the ten thousands digit of o?
2
What is the hundreds digit of (7 - 4 - -1 - -16953) + -2 + 1?
9
Let y(x) = x**3 + 18*x**2 + 14*x - 47. Let d be y(-17). Suppose d*w + 12*j - 1592 = 8*j, -4*w - 3*j = -1593. What is the units digit of w?
9
Suppose -1422*x = -1435*x + 147394. What is the tens digit of x?
3
Let d(p) = -2*p**2 - 2*p + 3. Let y be (-4)/(-4)*7/(-1). Let w be d(y). Let o = 122 + w. What is the tens digit of o?
4
Suppose -32*i + 723450 = 118*i. What is the thousands digit of i?
4
Suppose 2*n = 2*i + 46630, -10*i + 116578 = 5*n - 12*i. What is the hundreds digit of n?
3
Let j = 94 - 91. Suppose 378 = -5*d + 7*d + j*p, 4*d = -3*p + 762. What is the hundreds digit of d?
1
Suppose -4*o = 5*h + 30, -5*h + 8*h + 34 = -4*o. Let g(t) = 7*t**2 + 29*t + 2. What is the tens digit of g(o)?
1
Let w(a) = a - 15. Let x be w(17). Suppose x*o = 5*r, -4*r - 12 = -2*o - 2*o. Suppose -g - 2*g = -2*v - 189, 63 = g + r*v. What is the tens digit of g?
6
Suppose 51*k - 1006147 + 95899 = 0. What is the ten thousands digit of k?
1
Let q(h) = 5259*h**2 - 5*h + 6. What is the ten thousands digit of q(-4)?
8
Let o(m) = m**3 + 6*m**2 + m + 8. Let g be o(-6). Suppose 0 = 8*d - 3*d - 2*z - 39, -g*z = 2*d - 10. Let j(f) = 8*f - 11. What is the units digit of j(d)?
5
Suppose -25 = -q + 46. Suppose -5*a - z = -3*a - q, z = 5*a - 160. What is the units digit of a/7*2 + (-3)/7?
9
Suppose 5*a - 3*q - 45 - 29 = 0, 8 = 4*q. Suppose 3*w + 2*u + 3 - a = 0, 2*w + u - 7 = 0. Let g(p) = 185*p**2 + 2*p - 2. What is the hundreds digit of g(w)?
1
Let a(m) = m**3 - 18*m**2 - 25*m - 48. Suppose 0 = 2*i - 2, -3*r + 5*i + 47 = -8. What is the hundreds digit of a(r)?
2
Let h = -2046 - -27306. What is the ten thousands digit of h?
2
Suppose -3*v - 3*y - 8 = -2*y, -5*v = 4*y + 25. Let a(f) be the second derivative of -35*f**3/2 - f**2 + 34*f. What is the units digit of a(v)?
3
Let r(q) be the first derivative of 33*q**2 + 7*q - 79. What is the tens digit of r(8)?
3
Let k be -2 - (-181 - (-4 - -5)). Let p be ((-140)/(-30))/(2/k). Suppose -u = -6*u + p. What is the units digit of u?
4
Suppose -2*f + 116334 = 3*a, 5*a + 577*f = 574*f + 193890. What is the thousands digit of a?
8
Let o = -3187 + 11579. What is the thousands digit of o?
8
Suppose -77*r + 1416305 = -613492. What is the hundreds digit of r?
3
Let k(z) = 8*z**2 - 454*z - 180. What is the thousands digit of k(76)?
1
Let m(b) = -b**3 + 5*b**2 + 4*b + 4. Let s be m(8). Suppose -3*d + 0*g = -g + 232, -d = 2*g + 75. Let y = d - s. What is the units digit of y?
9
Let l(h) = h**3 - 12*h**2 - 7*h + 7. Let u be l(23). Suppose -23*n = -34*n + u. What is the tens digit of n?
1
Suppose 2*z = -6*i + 47502, -100*i + 3*z + 7927 = -99*i. What is the thousands digit of i?
7
Let c be (-4)/(8/(-70))*-6. Let j(w) = 115*w - 160. Let y be j(4). Let a = y + c. What is the units digit of a?
0
Suppose 194*n = -5*l + 192*n + 121666, 2*n = 10*l - 243344. What is the thousands digit of l?
4
Suppose -45422 - 59357 = -2*z - q, 3*z = 2*q + 157193. What is the thousands digit of z?
2
Let y be (-2773 - -3)*(3/(-2) - -1). Suppose 0 = -9*a + 4*a + y. Let i = a - 189. What is the tens digit of i?
8
Suppose -25*o = 176 - 1251. Suppose -2391 = -2*r - o*m + 42*m, -5*r - 2*m + 5979 = 0. What is the tens digit of r?
9
Let g(o) = 33*o + 234. Let y be g(-6). What is the tens digit of y/198 + 18080/22?
2
Suppose -2920 = -12*d + 22*d. Let h = 489 + d. What is the units digit of h?
7
Suppose 136*r = 131*r + 5*o + 1700, -4*o = -r + 343. What is the units digit of r?
9
Let b be 5 + 3 + (6 - 8) + -12. What is the thousands digit of b/27*-1 + 210380/180?
1
Suppose -3*y + 5*y = 6464. Suppose -5*k - 226 = -4*a - y, -4*k - 3*a = -2380. What is the hundreds digit of k?
5
Suppose -75*c + 347683 = -72542. What is the tens digit of c?
0
Let f(t) = t**3 + t**2 + 3*t + 6. Let d be f(0). What is the hundreds digit of d*(-5)/10 - -272?
2
Suppose 0 = 16*q + 62217 + 95208 - 731105. What is the hundreds digit of q?
8
Let k(x) = -30*x**2 + 13*x + 21. Let i be k(-4). Let j = -138 - i. What is the units digit of j?
3
Let w(p) = 3594*p - 7255. What is the thousands digit of w(16)?
0
Let a(c) = -19*c**2 - 23*c - 5. Let j be a(-3). Let u = j + 289. What is the hundreds digit of u?
1
Suppose 5*y - 28608 = 69397. What is the ten thousands digit of y?
1
Suppose -142*n + 150416 + 698264 = -122*n. What is the units digit of n?
4
Let m(y) = -y**3 + 12*y**2 - 3*y - 8. Let x be m(5). Let h = -78 + x. Let p = -57 + h. What is the units digit of p?
7
Suppose 4*l + 2*m = 44, -2*l - 8*m = -5*m - 18. What is the units digit of l*((-125)/(-20) + -4)?
7
Let g be 8*17*16/8. What is the tens digit of 3 + g + -3 + 0?
7
Suppose 3*b = -f + 34, -2*b + 13 = 3*f - 12. Suppose -5*o + b*o = -312. What is the hundreds digit of (-8)/o + (-2221)/(-13)?
1
Let u(z) = -5*z**3 + z**2 + 4*z + 6. Let v be u(-2). What is the hundreds digit of (-6)/(-21) + 23256/v + 3?
5
Suppose 2*y = 2*j + 16, -5*j - 5*y - 11 = 9. What is the units digit of j/(3/7*2/(-8))?
6
Let n(i) = 78*i**2 + 36*i - 167. What is the thousands digit of n(5)?
1
Let k(w) = 7*w**2 - 86*w - 28. What is the thousands digit of k(-13)?
2
Suppose -39*x - 11979 + 78825 = 0. What is the hundreds digit of x?
7
Suppose 152*h + 81370 = 162*h. What is the units digit of h?
7
Suppose 2*y = 4*w - 4410, 3309 = 3*w - 133*y + 132*y. What is the thousands digit of w?
1
Let q = 11817 + -5577. What is the tens digit of q?
4
Suppose 1906*w = 1899*w + 161. Suppose -5*s - 101 - 44 = 0. Let y = w - s. What is the tens digit of y?
5
Let i = -131 + 194. Let l = i + -46. Let j = 37 + l. What is the units digit of j?
4
Let z(d) = 4*d - 161. Let l be z(29). What is the tens digit of (l/12 - -4) + 2565/12?
1
Let b = -1104 - -1861. Suppose b = 2*x + 91. What is the hundreds digit of x?
3
Let g(j) = -6*j + 34. Let r(s) = 2*s - 11. Let d(o) = -4*g(o) - 11*r(o). Let q be d(13). Suppose -q = 12*c - 13*c. What is the tens digit of c?
1
Suppose 5*o - 13 = b, 5*b + 3*o + 5 = 4*b. Let h be (0 - (-1)/(-2))/(b/48). Suppose -14*f + 1958 = -h*f. What is the tens digit of f?
7
Let p = -58 - -60. Suppose -p*g - 3*g - 15 = 0. What is the tens digit of 1715/20 + g/4?
8
Suppose 2*v - v - 32 = 5*h, 4*v - 3*h = 43. Let g(o) = o**3 + 18*o**2 + 17*o + 5. Let b be g(-17). Suppose 0 = -b*c + v*c - 90. What is the tens digit of c?
4
Suppose 1401*f = 1404*f + 33. Let p = 62 - 109. Let i = f - p. What is the tens digit of i?
3
Suppose 0 = -5*r + 9*l - 8*l + 195, -4*r - 5*l + 156 = 0. Suppose -31*w + r*w = 3240. What is the units digit of w?
5
Let z(x) = -2*x**3 - 20*x**2 + 12*x - 1. Let v be z(-11). Let s = v - 110. What is the units digit of (-51*1/(-4))/(s/(-4))?
1
Let w = 3381 + -3156. What is the units digit of w?
5
Let y(t) = -t**3 + 130*t**2 + 770*t - 391. What is the hundreds digit of y(135)?
4
Let z = 59 - 54. Suppose -z*l = -1731 + 61. Suppose -4*i = -3*y + l, -1 = 4*i - 9. What is the units digit of y?
4
Let q be ((-42)/12 - 1)/(1/18). Let z = q + 18. Let l = z - -262. What is the hundreds digit of l?
1
Let b(p) = -17*p - 97*p**2 - 10 + 91*p**2 + p**3 - 8*p**3. What is the units digit of b(-4)?
0
Suppose i - 153 = 289. Let w be ((-342)/45)/(2/80). Let q = w + i. What is the hundreds digit of q?
1
Suppose -7*y + 121319 = 8*y - 26086. What is the tens digit of y?
2
What is the thousands digit of (-4)/6*(359 + -2420)?
1
Let w = 736 - 568. What is the tens digit of (w/140)/((-3)/(-1940))?
7
Let o(a) = -a**2 - 11*a - 21. Suppose 0*g - 8*g - 56 = 0. Let n be o(g). Suppose n*y = -5*c + 2*y + 1305, 2*c + 3*y - 525 = 0. What is the hundreds digit of c?
2
Let o = 352 - 136. Suppose 5*c - o = 59. Let t = 114 - c. What is the tens digit of t?
5
Suppose -5*a = -5*w - 8105, 0*a = 4*w - 2*a + 6486. Let s = -1073 - w. What is the tens digit of s?
4
Let i = 9408 + -6207. What is the tens digit of i?
0
What is the hundreds digit of (-20328)/(-308)*(-3167)/(-6)?
8
Suppose -4*s = 12*s + 28480. Let b = -864 - s. What is the units digit of b?
6
Let c(z) = 309*z**2 - 124*z + 57. What is the units digit of 