uppose 8*i = -45 + 61. Suppose i*k = -4*q + 1848, 4*q + 2119 = 5*k - 2515. What is the units digit of k?
6
Suppose 78 = 5*a + 38. Let g be a/(-14) - (-224)/49. Suppose -3*h = -g*x - 256, 5*h - 4*x = -41 + 481. What is the tens digit of h?
9
Let s = -264 + 249. What is the units digit of (1 + 1130/50)/((-1)/s)?
4
Let v(t) = t**2 + 44*t + 715. What is the units digit of v(56)?
5
Let p be 6/27 + 215/45. Suppose 19 = -p*h - 16. Let t(n) = -n**2 - 6*n + 17. What is the tens digit of t(h)?
1
What is the thousands digit of -4 + 6 + (-9 - -6 - -4795)?
4
Let z(t) = 4*t**3 + t**2. Let l be z(1). Suppose -l*v = 1 - 26. Suppose -x = -b + 33, -v*b + 201 = -0*b + 4*x. What is the tens digit of b?
3
Suppose 135*r = -31*r + 6271148. What is the hundreds digit of r?
7
Let q = 200 - 131. Suppose q*h = 76*h - 2478. What is the units digit of h?
4
Let b = 23199 - -291. What is the tens digit of b?
9
Let x = 67 + -51. Let o be (-5)/2*(-3)/15*x. Suppose o*u + 553 = 1841. What is the hundreds digit of u?
1
Suppose -7*f + 2*f = 3*g - 28, 0 = -4*g + 3*f - 11. Suppose -a - g = -10. Suppose 10*x = a*x + 10. What is the tens digit of x?
1
Let q = 31785 - 14360. What is the ten thousands digit of q?
1
Suppose 9*n = 4*n + 3*q + 20043, -2*n + 4*q = -8034. What is the thousands digit of n?
4
What is the tens digit of (-13 - 264/(-16))*930*1?
5
Let y(z) = -3695*z - 55. What is the ten thousands digit of y(-3)?
1
Let t(h) be the second derivative of h**5/20 - 17*h**4/12 - 17*h**3/6 - 15*h**2/2 - 47*h - 2. What is the units digit of t(18)?
3
Let z be 2/19 - (-147750)/(-57). Let i = z + 3641. What is the hundreds digit of i?
0
Suppose 26*y - 15 = 21*y. Let s be 3*185 + y/(-3). Suppose -s + 192 = -4*q - t, -2*t = 3*q - 274. What is the units digit of q?
0
Let a(i) = i**3 - 63*i**2 + 177*i + 190. Let m be a(60). Let n be -1*12*(-6)/8. What is the hundreds digit of (3/n)/((m/804)/5)?
1
Let u = -103 - -179. Suppose -u = 3*q - 589. What is the units digit of q?
1
Suppose -13*n + 24 = -21*n. What is the hundreds digit of n*(-6)/6 + 198?
2
Suppose -4*s = l + 605, -2*l + 623 = -3*l + 2*s. Let a = l - -1051. Suppose -15*k + 2311 = -a. What is the units digit of k?
3
Let r be (-81)/4 - 13/(-52). What is the hundreds digit of 2/8 + (-9495)/r + 0?
4
Let j(u) = -5*u**2 + 9*u + 12. Let b be j(8). What is the hundreds digit of b/(-1) + (-18)/(36/(-6))?
2
Let n be (-1)/5 - (422/(-10) + -2). Suppose 28 - n = -4*r. Suppose -247 = -5*w + 4*f, 4*f - r - 31 = -w. What is the units digit of w?
7
Let z be -1*3*(-44)/(-12). Suppose -i - i + 146 = 4*a, 20 = -4*a. Let m = z + i. What is the tens digit of m?
7
Let v be (-154)/(-42) - (-2)/(-3). Suppose -v*j - 15 = 2*j. What is the tens digit of (-444)/(-9) + 1/j?
4
Let h = 4137 - -20887. What is the units digit of h?
4
What is the tens digit of (19488/60)/((-10)/(-125))?
6
Let w(o) = 4*o**2 - 18*o + 10. Let d be w(4). Suppose 0*k - 5*k + 1865 = 2*c, -4*k - d*c + 1494 = 0. What is the hundreds digit of k?
3
Suppose 6258 = -83*w + 89*w. Suppose 2*r - 789 - w = 0. What is the hundreds digit of r?
9
Let b(r) = 11*r**2 + 18*r - 1330. What is the ten thousands digit of b(41)?
1
Let b(k) = -k**2 - 9. Let t(p) = -p**2 + p - 10. Let j(g) = -5*b(g) + 4*t(g). Let a be j(-4). Suppose 351 = a*u + 6. What is the units digit of u?
9
Let c(r) = -5*r**3 - 6*r**2 + 7*r + 12. Let h be c(-5). Suppose -2*x - l - 124 = -h, 5*x - 818 = -2*l. What is the units digit of x?
2
Let m(u) = 2*u**3 + 158*u**2 - 172*u - 33. What is the thousands digit of m(-78)?
5
Suppose -10 = 2*s - 4*o, -16 = 5*s + 4*o + 9. What is the tens digit of 1*s + 29 + 21?
4
Suppose 2*z - 20678 = -3*v, 19*z - 5*v = 26*z - 72373. What is the ten thousands digit of z?
1
Suppose 0*s - 2*j = 2*s - 410, -5*s - j + 1033 = 0. Suppose -z + 2*m = 3*z - 244, 5*m = -10. Let c = z + s. What is the tens digit of c?
6
Let h(a) = -a**2 + 5*a**2 - 2*a + 3 - a**3 - 4. Let x be h(3). Suppose 4*m - x*g - 32 = 0, 0*g = -3*m + 3*g + 24. What is the units digit of m?
8
Let a(d) = -d**3 - 2690*d + 7*d**2 + 2690*d. Let w be a(7). Suppose 0 = -4*l - w*l - 8, 4*y - 24 = 4*l. What is the units digit of y?
4
Let d(z) be the third derivative of -8*z**2 + 1/2*z**4 - 10/3*z**3 + 1/20*z**5 + 0 + 0*z. What is the units digit of d(6)?
0
Let x(g) be the second derivative of -143*g**3/6 - 44*g**2 + 63*g. What is the hundreds digit of x(-6)?
7
Suppose 0 = 3*i - 22 - 14. What is the tens digit of (i/15)/(-4) + 5042/10?
0
Suppose -4*x = -x + 210. Let v = -26 - x. Suppose -v = -3*c + 181. What is the units digit of c?
5
Suppose -3*u = -12, -5*n + 2*u - 5260 = -9*n. What is the tens digit of n - (-3 - 4) - -6?
2
Suppose -70*v + 3388745 = -41*v + 66*v. What is the ten thousands digit of v?
3
Let q = -156 + 295. Let n = -3841 - -3843. Suppose -i + 198 = n*z, 0 = -z - i - 41 + q. What is the hundreds digit of z?
1
Let s(m) = -98 - 791*m + 1596*m - 778*m. What is the tens digit of s(5)?
3
Suppose 0 = 46*n - 42*n - 12. Suppose -n*r - 5945 = -4*d, 0 = 3*d - r - 552 - 3908. What is the units digit of d?
7
Suppose -21*j + 9*j = -36. Suppose -4*y + d + 3*d + 1652 = 0, -12 = -j*d. What is the tens digit of y?
1
Let h = -87200 - -125409. What is the thousands digit of h?
8
Let v be 43/(-2) - (1 + (-6)/4). What is the tens digit of (-1622)/(-4) - (v/(-2) - 11)?
0
Let g = 5672 - 3426. What is the thousands digit of g?
2
Let s(a) = 520*a + 21210. What is the thousands digit of s(0)?
1
Suppose -k + 2*q + 2870 = -8847, -5*k - 4*q + 58641 = 0. What is the tens digit of k?
2
Let c(k) = -5*k + 115. Let y be c(23). Suppose -q + 153 = 3*i - 309, y = -2*i + 3*q + 297. What is the units digit of i?
3
Suppose -55*n - 864 = -49*n. Let l = n + 183. What is the tens digit of l?
3
Let t(g) = 10*g**2 + 8*g + 11. Let q be t(-2). Suppose 37758 - 5908 = q*z. What is the units digit of z?
0
Let x(a) = 3*a**2 - 422*a - 122. What is the units digit of x(-49)?
9
Let s = 76146 - 22781. What is the tens digit of s?
6
What is the hundreds digit of 12/33 + 76197500/1650 - (-2)/(-3)?
1
Let d(n) = -2*n**3 - 25*n**2 - 72*n + 83. What is the ten thousands digit of d(-23)?
1
Let b(k) = -801*k**3 - 4*k**2 + 31*k + 100. What is the units digit of b(-4)?
6
Let h = 49166 + -17280. What is the ten thousands digit of h?
3
Suppose 25*v + 18 = 28*v. Let r(n) = -n**3 + 10*n**2 + 2*n + 11. What is the tens digit of r(v)?
6
Suppose -4*b - 2347 = 1413. What is the units digit of b/(-18) + (-32)/144?
2
Let r(x) = 9435*x**3 + 2*x**2 - 57*x + 55. What is the units digit of r(1)?
5
Let i(t) = -343*t**3 - 27*t**2 + 78*t + 446. What is the tens digit of i(-5)?
5
Suppose -1642424 = -31*k + 943589 - 252178. What is the units digit of k?
5
What is the ten thousands digit of (-6 - ((-77)/21 - 3))*24861?
1
Let q(w) = 22*w**2 + 230*w - 264. What is the tens digit of q(43)?
0
Let f(i) be the first derivative of i**4/24 + 3*i**3 - 13*i**2/2 + 14. Let z(m) be the second derivative of f(m). What is the units digit of z(-6)?
2
Let y(u) = 3*u**2 + 5*u - 5. Let j be y(4). Suppose 240*a - 239*a = 143. Let b = a - j. What is the units digit of b?
0
Let c = 61 - 76. Let o = c - -20. Suppose -8*k + 3029 = o*k. What is the hundreds digit of k?
2
Let h(a) = a**3 - 2*a**2 - 8*a + 14. Let b be h(2). Let z be ((-10)/(-15))/(2/(-3)). What is the units digit of -2 + (z - b) - (2 + -126)?
3
Let k(g) = 364*g**2 + 1. Let o be k(-1). Suppose 5*p - 1888 = -4*x - 383, o = x + 5*p. What is the units digit of x?
0
Suppose 2*g + 4 = 0, 8*f + 3*g - 19827 = 5*f. What is the tens digit of f?
1
What is the ten thousands digit of -66*-557*(-13)/(-39)?
1
Let s = -1234 + 2661. Suppose 1434*k - 4774 = s*k. What is the tens digit of k?
8
Suppose 16*j - 164144 = -32256. What is the thousands digit of j?
8
Let t(a) = -202*a**3 - 10*a**2 - 40*a + 68. What is the thousands digit of t(-6)?
3
Let f(a) = a**3 + 29*a**2 - 41*a + 20. What is the hundreds digit of f(-24)?
8
Let u(l) = -11*l - 8. Let x be u(-1). Suppose -w + x*k + 323 = 4*w, -4*w + 256 = -3*k. What is the units digit of w?
7
Suppose -56*m = -89 - 79. Suppose -m*i - 14*i = -23987. What is the units digit of i?
1
Suppose -3*d + 3283 = -1148. What is the tens digit of d?
7
Suppose 16*y + 1660 = 20*y + 2*t, -4*t = y - 401. What is the units digit of y?
7
Suppose -2*a = 4*a - 18. Suppose -4*c + c 