uppose 0 = -93*f + 87*f - 5166. Let p = f + 1468. What is the units digit of p?
7
Let a = -203 + 216. Suppose -9*z = -a*z + 80. What is the tens digit of z?
2
Suppose 2*a - 38223 + 946 = -3*r, -4*a = -3*r + 37271. What is the ten thousands digit of r?
1
Let p = -32 - -32. Suppose 21*j - 25*j + 4 = p. Suppose 0 = -3*x + 17 + j. What is the units digit of x?
6
Let x(n) = -n**3 + 24*n**2 - 26*n - 42. Suppose 4*y - 12 = -q, 5*q - 62 = 2*q + y. What is the tens digit of x(q)?
3
Suppose -9*z = 5*z + 2520. Let y = z + 281. What is the tens digit of y?
0
Let j be 4 + 252/(-66) - (-532)/(-22). Let t be (-84)/j + (-2)/4. What is the hundreds digit of t + -4 + 3 - -117?
1
Let a(i) be the third derivative of i**6/5 + i**5/20 - 5*i**4/8 + 13*i**3/3 - i**2 - 30. What is the tens digit of a(4)?
5
Let d(s) = 2*s - 45. Let u be d(24). Suppose -1271 = -5*k + u*y + 879, 0 = -4*y. What is the hundreds digit of k?
4
Suppose z = 11*z - 20. Let g(f) = 0*f**2 - f**2 - 6*f**z + 36 + 9*f**2 + 10*f. What is the tens digit of g(-7)?
6
Let j(z) be the first derivative of -z**3/3 - 13*z**2/2 + 6*z - 16. Let g be j(-9). Suppose 0 = 2*y - 24 - g. What is the tens digit of y?
3
What is the thousands digit of (-149)/((-2)/(-6)*3/(-43))?
6
Let v(x) = -5*x**3 - 13*x**2 + 103*x + 418. What is the ten thousands digit of v(-22)?
4
Let j = 120 - 171. Let m = 48 + j. What is the units digit of 3/m + 1 + 55?
5
What is the thousands digit of 8 - (0 + 5 + (-64786)/29)?
2
Suppose 0 = -2*k + 7*k - 895. Suppose -n + 3*h + 103 = 0, k = n + 4*h + 62. Suppose n = 2*a - 69. What is the units digit of a?
9
Let w = -2392 + 4803. Suppose -25*m - w = -22786. What is the units digit of m?
5
Let r = -460 + 6996. What is the hundreds digit of r?
5
What is the thousands digit of 6 + -9318*(-28)/42?
6
Suppose 6*t + 18 - 30 = 0. Suppose -3*x + 4*c + 157 = 0, 0 = -c - t + 1. What is the tens digit of x?
5
Let a(r) = 5*r. Let q be a(1). Let b(f) be the second derivative of f**3 - f**2 + 2*f - 48. What is the tens digit of b(q)?
2
Let j(l) = 6*l**2 + 96*l - 1717. What is the thousands digit of j(34)?
8
Let i(a) = -a**3 + 20*a**2 - 12*a + 19. Let k = -15 + 34. Let m be i(k). Suppose 0 = -4*u + m + 56. What is the units digit of u?
2
Let n = -97 - -128. Suppose -3*v + 5*w + 51 = -n, 4*w = -8. What is the units digit of v?
4
Suppose -4*a + 5*i + 36062 = 0, -2*a - i - 9119 + 27157 = 0. What is the tens digit of a?
1
Suppose 8*c - 51 = 373. Suppose -q = -c + 18. What is the tens digit of (q/(-4))/((-7 + 1)/24)?
3
Let r = 111082 + -61398. What is the units digit of r?
4
Let w = 84 - 4. Let r = w - 80. What is the units digit of r + 51 + 3 + -10 + 4?
8
Let i(d) = 30*d**3 - 3*d**2 + 19*d - 75. What is the hundreds digit of i(8)?
2
Suppose -3*q + 19180 = v, 0 = 4*q - 8*v + 13*v - 25566. What is the units digit of q?
4
Let x(c) = 355*c - 124. Let p be x(7). Suppose 12*s - 5847 = p. What is the hundreds digit of s?
6
Let v = 63 - -400. Let r = 844 - v. What is the hundreds digit of r?
3
Let p(k) = k**3 - 10*k**2 + 14*k + 10. Let v be p(8). Let w be (-78)/(-65)*(-320)/v. Let o = 84 - w. What is the units digit of o?
0
Let x = 231 + -119. Suppose l - x = -2*o, 0 = 4*l + 5*o - 291 - 166. Suppose l = 2*k - 188. What is the units digit of k?
3
Let y(s) = 382*s**2 - 53*s + 1177. What is the units digit of y(13)?
6
Suppose 4*d = -18 + 6, -2*d = 4*v - 33346. Suppose -16*j + v = 6*j. What is the tens digit of j?
7
Let l(m) = m**3 - m**2 - 92*m + 2401. What is the hundreds digit of l(0)?
4
Let s = -1152 + 794. Let a = s + 655. What is the hundreds digit of a?
2
Let d be -8 - ((2 + -27)/(-5) - 4). What is the tens digit of (72/16)/d - (-9705)/6?
1
Suppose 9169*s - 9183*s = -57204. What is the tens digit of s?
8
Let f(g) be the third derivative of 0*g**3 + 0*g + 14*g**2 - 1/8*g**4 + 0. What is the units digit of f(-6)?
8
Let c(a) = a**2 + 7*a - 2. Let w be c(4). Let s = -39 + w. Suppose s*j = u - 37, -5*u + 233 = j - 0*j. What is the units digit of u?
6
Let d(y) = y**3 + 43*y**2 - 116*y - 286. What is the hundreds digit of d(-42)?
3
Suppose -24*h + 21*h = -21, i + h = 55208. What is the thousands digit of i?
5
Let a(c) = c**3 - 8*c**2 - 22*c + 23. Let t be a(10). Suppose 0 = -3*s - 306 + 69. What is the units digit of s/(4/(-12)*t)?
9
Let n be ((-30)/(-3) - 3) + -4. Suppose -375 = n*l + y, 2*y + 1 = -l - 124. Let t = -57 - l. What is the tens digit of t?
6
Suppose -5*q - 4*g + 285 = -259, 0 = 4*q + 2*g - 434. Suppose -121*s + 6409 = -q*s. What is the units digit of s?
3
Let x = 79 - -595. Suppose -16*q + x = -11*q + s, 532 = 4*q - s. What is the hundreds digit of q?
1
Let l(n) = -n**2 + 3*n + 1. Let h be l(3). Let r be ((-5)/5)/(h/(-3)). Suppose -r*b - 4 = -55. What is the units digit of b?
7
Suppose 69*t = 63*t + 168. Suppose t*u + 2088 = 32*u. What is the tens digit of u?
2
Let k = 253 + -234. Suppose k*x - 455 = 18*x. What is the hundreds digit of x?
4
Let w be 0 + ((-50)/(-8))/((-21)/(-420)). What is the tens digit of -7 - (-25)/(w/5070)?
0
Let r = 9671 + -4093. What is the thousands digit of r?
5
Suppose 253412 = 9*j + 52937. What is the thousands digit of j?
2
Let h be 340/(7/(-609)*-2). Suppose 0 = 3*o - 18*o + h. What is the hundreds digit of o?
9
Let s(x) = -9273*x - 1183. What is the tens digit of s(-2)?
6
Suppose 0 = q + 5*y - 54474, -5306*y + 5301*y = -q + 54504. What is the thousands digit of q?
4
Let b(r) = r**3 + 8*r**2 - 11*r - 14. Let t be b(-9). Suppose 3*n + 5*f = 517, 0 = -7*n + 10*n - t*f - 499. What is the hundreds digit of n?
1
Suppose 4*j - 44663 + 10113 = -3*f, -4*j - 16 = 0. What is the tens digit of f?
2
Let u be (0 + -1)*236/(-2). Let w = 7 + 1. Suppose 6*v = w*v - u. What is the tens digit of v?
5
What is the units digit of 5835 - (4 + 6 - -3)?
2
Suppose 4*n + j = n + 1372, -4*n + 3*j + 1812 = 0. Let x = n - 272. Let g = x - 83. What is the tens digit of g?
0
Let u = -3131 + 3077. Let g(r) = 4*r**3 + r + 4. Let j be g(3). Let k = u + j. What is the units digit of k?
1
Let f(d) = 3*d**2 + d - 31. Let p be f(-14). Suppose 378 = 2*g - 4*l, -l = 3*g + l - p. What is the units digit of 2/(-4) - (-2 - g/2)?
3
Suppose -4*f - 1 + 21 = k, 5*k = 2*f - 32. Suppose 2*p - 1678 = j, -8*p + 5*j + 1670 = -f*p. What is the units digit of p?
0
Suppose 27*n + 32*n + 45*n - 5135624 = 0. What is the thousands digit of n?
9
Let d = -93 + 237. Let b = d - 85. What is the units digit of b?
9
Let p(w) = 10*w + 11. Let o be p(7). Suppose -5*c - 245 = 5*i, -2*c - 17 = -5*i + o. Let u = 59 - c. What is the hundreds digit of u?
1
Suppose -1177 = 12*d + 407. Let y = -119 - d. Suppose 0*v + 3133 = y*v. What is the units digit of v?
1
Suppose -1 = n, t - 8349 = -n + 3548. What is the hundreds digit of t?
8
Let h(o) = -749*o - 3170. What is the thousands digit of h(-24)?
4
Let d = 803 - 712. Suppose 35*c - 21469 - d = 0. What is the tens digit of c?
1
Let s = -29 - -25. Suppose 6*u - 11*u + 120 = 0. Let g = u + s. What is the tens digit of g?
2
Let n = -337 - -352. Let i(l) = l**3 - 13*l**2 + 37*l + 7. What is the hundreds digit of i(n)?
0
What is the tens digit of 6/(-21) - (3187200/(-105) + 11)?
4
Let q(b) = -b**3 + 18*b**2 - 17*b + 9. Let d be q(17). What is the tens digit of 581/2 - d/6?
8
Suppose 4*j = -2*d + 219614, -196*d + 191*d - 219635 = -4*j. What is the tens digit of j?
0
Suppose -4*m + 5*c + 28921 = 0, 4 = -13*c + 9*c. What is the thousands digit of m?
7
What is the hundreds digit of (46 - 51)*(-11516)/5?
5
Suppose 0 = 72*x - 76*x + 16. Suppose x*y + 142 = 3*r, -7*y + 3*y + 4*r = 144. Let n = 106 + y. What is the tens digit of n?
7
Let b be (-8)/36*1 + 20/9. Let t(p) = 4*p**2 + 10*p + 20. Let f be t(15). Suppose -b*x - 3*x = -f. What is the hundreds digit of x?
2
Let n(d) be the first derivative of 14*d - 11/2*d**2 - 8. What is the units digit of n(-8)?
2
Suppose 11*r - 7*r = 24. Suppose v + z - 59 = r*z, 202 = 4*v - 3*z. Let o = v - 20. What is the units digit of o?
9
Let i = 184 - 94. Let j = 86 - i. What is the tens digit of (-3 + (-123)/j)/(12/128)?
9
Suppose i - 1044 = -2*i. Suppose 6 = -3*w - i. What is the tens digit of ((-5)/(-5))/((-2)/w)?
5
Let f be ((-204)/30 - -7) + 2/(-10). Suppose -4*s + 236 + 696 = f. What is the units digit of s?
3
Suppose 22 = 2*z + r - 5*r, 2*r = 4*z - 26. Let k be (5 - (5 + z)) +