at is the units digit of z?
1
Let f = 99026 + -35291. What is the units digit of f?
5
Let f = 89202 - 59242. What is the ten thousands digit of f?
2
Let t = 193 - -255. Let v be (-1)/3 + t/84. Suppose 0 = -v*a + 284 + 276. What is the units digit of a?
2
Let d(u) = -2*u**2 + 3*u - 28. Let s(h) = 3*h**2 - 2*h + 28. Let r(j) = 4*d(j) + 3*s(j). What is the tens digit of r(-13)?
6
Let t(a) = -a**2 - 6*a + 1. Suppose -88 = -3*i + 4*q, -32 = -2*i + 2*q + 30. Let d = i + -38. What is the units digit of t(d)?
9
Suppose 0 = -36*f + 210*f - 3712290. What is the thousands digit of f?
1
Let m = 139169 + -97832. What is the thousands digit of m?
1
Suppose -84 = -27*q - q. Suppose -2*z + 1503 = 5*o, -4*o + q*z + 366 = -818. What is the units digit of o?
9
Let h(r) be the third derivative of -1/6*r**4 - 7/60*r**5 + 0 + 0*r + 2/3*r**3 + 42*r**2 - 1/120*r**6. What is the hundreds digit of h(-8)?
1
Suppose -i - 320*u + 286 = -321*u, -4*u + 291 = i. What is the hundreds digit of i?
2
Let i(c) be the first derivative of -9/2*c**2 - 20*c - 38. What is the units digit of i(-12)?
8
Suppose 3*p - 24 = -0*p. Suppose l + p = 3*l. What is the tens digit of ((1 - l) + 2)*(-74)/2?
3
Let w be 45544/136 + 6/51. Let j = w - 195. What is the tens digit of j?
4
Let m = -13480 - -13509. Suppose 0 = -5*k - 4*l, -2*k - 5*l = -l. Suppose k = m*o - 32*o + 558. What is the hundreds digit of o?
1
Suppose 2*x + 78048 = 4*c - 2*x, x = 2*x. What is the hundreds digit of c?
5
Let q(r) = -5*r + 30. Let z be q(13). Let k = -33 - z. What is the units digit of (9 + -8)/(k/160)?
0
Suppose 2*p + 36*l - 38*l = 21902, 32851 = 3*p - 5*l. What is the ten thousands digit of p?
1
Let y(x) = -3*x. Let l(j) = -863*j + 46. Let c(i) = -l(i) + 5*y(i). What is the hundreds digit of c(1)?
8
Suppose -3*a + 33946 = -2*i, 5641 + 5707 = a + 4*i. What is the thousands digit of a?
1
Suppose -5*i + 2*v + 16 = -i, -22 = -i + 5*v. Let y be i/14 - 2158/14. What is the tens digit of (2 + 1/2)/((-7)/y)?
5
Suppose 0 = 2*u - 5*h + 19, 0*u + 2*u + 3*h - 21 = 0. Suppose -9 = u*r + 2*f, -9 = -0*r + 3*r + f. What is the units digit of (101 - r) + (-9)/3?
1
Suppose 5*n - 7 = 13, n = -5*q + 604. Suppose 0 = h - q - 17. Suppose -4*g + h = -179. What is the tens digit of g?
7
What is the hundreds digit of (1 - (-66008)/6) + (-13 - 451/(-33))?
0
Let g(b) = 82*b**2 + 252*b + 7. What is the tens digit of g(-14)?
5
Let v(g) = 368*g + 11978. What is the hundreds digit of v(42)?
4
Let k(n) = -n**2 - 3. Let s be k(0). Let q be (s - 3)/(-3 + 4). Let p(f) = -3*f + 13. What is the units digit of p(q)?
1
Suppose 0 = -4*r + 30*j - 27*j + 5912, -3*j = 12. What is the thousands digit of r?
1
Let x = 1337 + -1347. Let c(s) = 18*s - 1. Let q be c(10). Let v = q + x. What is the tens digit of v?
6
Suppose 15*v + 34*v - 51399 = 23522. What is the tens digit of v?
2
Let o be ((-240)/(-56))/(18/(-84)). What is the hundreds digit of 78683/44 + (-15)/o?
7
Suppose -214 = 6*g - 70. Let w = g + 24. Suppose w = 14*y - 3026 + 366. What is the tens digit of y?
9
Let h be ((-12)/(-18))/((-1)/21). What is the tens digit of 122/(2 + 21/h)?
4
Suppose 66 = -3*s - 4*k, 2*k - 60 = 4*s - 2*k. Let o = s - -33. What is the units digit of (-30)/9*o/(-10)?
5
Let x(t) = t**3 - 5*t**2 - 4*t - 7. Let q be x(6). Suppose -2*j = -4*d + 6, 4*d = q*j - 1 + 10. What is the units digit of 5 - 0 - 26*j?
1
Suppose u + 2*u + i - 4412 = 0, 3*i + 7358 = 5*u. Suppose u - 71 = 7*c. What is the hundreds digit of c?
2
Let f = -18741 + 26720. What is the thousands digit of f?
7
Let i(k) = -402*k**3 - 2*k**2 - 2*k. Let c be i(-1). Suppose c = 5*d - 408. What is the units digit of d?
2
Suppose 46 - 226 = 4*z. Suppose 0 = -4*c + 2*c - 198. Let l = z - c. What is the tens digit of l?
5
Suppose 0 = 70*n - 77*n + 28. Suppose 3*k + 5*i - 2524 = 0, 2*k + 1656 = n*k - 2*i. What is the hundreds digit of k?
8
Let k(v) = -304*v - 1. Let h be k(-1). Let y = h + -182. What is the units digit of y?
1
Suppose 3*x - 4*t - 17 = 0, -t + 30 = 4*x + t. Let w(v) = 4*v**3 - 27*v**2 + 8*v + 11. What is the units digit of w(x)?
6
Suppose -4*j + 38*t - 43*t = -160967, 0 = 2*j + 3*t - 80483. What is the units digit of j?
3
Suppose 5*m + 16 = -4*z - 28, 5*m + 26 = -z. Let s(f) = -97*f - 83. What is the hundreds digit of s(z)?
4
Suppose a + 80298 = 4*b, -57*b + 2*a - 60207 = -60*b. What is the ten thousands digit of b?
2
Suppose 62*s = -28*s + 300690. What is the tens digit of s?
4
Suppose 545 = 5*t + 5*f, -3*t - 219 = -f - 530. Suppose 0*g = 2*m + g - 47, -g + 93 = 4*m. Let j = m + t. What is the hundreds digit of j?
1
Suppose -5*k - 4251 = s + s, -3*s - 1707 = 2*k. Let y = 123 - k. What is the hundreds digit of y?
9
What is the thousands digit of 6 + 6*-10333*(-1)/3?
0
Suppose 4*a + 5*v = -48, v + 32 = -4*a - 0*a. Let p(t) = 2*t**2 + 3*t + 21. What is the tens digit of p(a)?
9
Suppose -c - 224 = -2*v, 0*v - 2*v + 232 = -5*c. Let j = -55 + v. Let n = 229 - j. What is the hundreds digit of n?
1
Let l be (-663 + -4)/(-5 - -4). Let p = -556 + l. What is the tens digit of p?
1
Suppose 5*q + 77742 = 4*y, -73*q + 68*q = 4*y - 77722. What is the hundreds digit of y?
4
Suppose -m - 4*q + 77227 = 0, -5*m + 111625 = q - 274605. What is the ten thousands digit of m?
7
Suppose 4*d - 4*n = 5*d + 1003, -d + 2*n - 1027 = 0. Let h = -568 - d. What is the units digit of h?
1
Let q = 216 - 145. Let l = -28 + q. What is the tens digit of l?
4
Let t(v) = 28*v**2 + 18*v - 102. What is the thousands digit of t(14)?
5
Let x = 2668 + 2815. What is the thousands digit of x?
5
Let v be (-4)/18 - 94/(-18). Suppose 13 = v*r - 2. Suppose w - 145 = -3*l, -r*l + 2*w = -w - 153. What is the units digit of l?
9
Suppose 0 = w - 24*w + 29164. Suppose y + y = 2*n + 648, 4*y - w = -3*n. What is the units digit of y?
0
Let k = 5913 - 2681. What is the thousands digit of k?
3
Let c(m) = m + 13. Let h(g) = 2*g + 25. Let d(t) = -7*c(t) + 3*h(t). Let v be d(-18). Suppose -v*q + 82 + 206 = 0. What is the tens digit of q?
4
Let t(q) be the first derivative of q**4/4 - q**3/3 - 2*q**2 + 143*q - 100. What is the units digit of t(0)?
3
Let r = -47 + 81. Let o = r + 58. Suppose -2*x + o + 44 = 2*w, -4*x = w - 68. What is the units digit of w?
8
Let v(y) = y**2 + 32*y + 21. Let p(d) = d**2 - 9*d + 7. Let u be p(10). Let w be v(u). Suppose -w = -2*t - 5*t. What is the hundreds digit of t?
1
Let y be ((-202)/10 + 3)*20. Let k = y + 440. What is the units digit of k?
6
Let n be 2/(((-32)/(-4))/9008). Let y = -1329 + n. What is the tens digit of y?
2
Let q(g) = g + 7. Let x be q(-3). Suppose d = 5*d + x*l - 72, -5*d - l = -70. Suppose -7*o = -d - 134. What is the tens digit of o?
2
Let u be (-295596)/288 - 3/(-8). Let s = 2693 + u. What is the thousands digit of s?
1
Suppose 0 = 2*l - 3*u - 102, 16 = 2*l - 4*u - 90. What is the units digit of (5/(-3))/(l/(-8802))?
6
What is the tens digit of (10 + (-16)/(-48))/(((-12)/3)/(-19368))?
3
Let s(w) = -w**3 - 8*w**2 + w + 73. Let y be s(-8). Let x(c) = -4*c**2 - 3*c - 2. Let d be x(-2). What is the tens digit of y*(-3)/(45/d)*1?
5
Let m = 29082 + 25079. What is the thousands digit of m?
4
Suppose -10137 = 3*j - 2451. What is the tens digit of (5 - j/7)*1?
7
Let g(o) = 2*o + 85. Let h be g(16). Let k = 151 + h. What is the units digit of k?
8
Let n = -1930 - -6916. What is the hundreds digit of n?
9
Let h be (-144)/(-14 + 11)*(-1)/(-1). Suppose -h*d = -47*d - 549. What is the tens digit of d?
4
Let s = -41 + 60. Let v = s - 16. Suppose v*m - 1261 = -10*m. What is the units digit of m?
7
Suppose -2*u + 5*o = 2*o - 563, 0 = 5*u + 5*o - 1420. Suppose 3*w - 4*n = -5*n + 849, w - u = -n. What is the units digit of w?
3
Let p be (420/(-18))/((-1)/3). What is the hundreds digit of (-2)/(4/(-382)) - (p + -67)?
1
Let a(o) = -3*o**3 + 55*o**2 + 12*o - 22. Let r be a(20). Let y = -1068 - r. What is the units digit of y?
4
Suppose 0 = -70*u + 4179528 + 171984 - 95022. What is the units digit of u?
7
Suppose -920 = 4*n + 6*n. Let r = n - -83. What is the units digit of r/6 - (-890)/20?
3
Let d = -26 + 45. Suppose -2*v + d - 7 = 0. Let s = -4 + v. What is the units digit of s?
2
Let u = 22034 - -5314. What is the ten thousands digit of u?
2
Let w(j) = j**3 + 4*j**2 - 2*j + 17. Let q be w(-5). What is the units digit of (0 + 22)/((-8