t w = -91 + 316. Let r = w + -189. What is the units digit of r?
6
Let a = 63 + -58. Suppose -3*f + 1981 = -g + 3*g, 0 = -3*f + a*g + 1967. What is the hundreds digit of f?
6
Let p = -73 + 68. Suppose 0 = -5*t - 2*b + 48 + 61, 4*t - b = 95. Let a = p + t. What is the tens digit of a?
1
Let r(s) be the first derivative of 3/2*s**2 + 3*s**3 + 39 + s. What is the tens digit of r(-2)?
3
Suppose 0 = -4*u + 4*y - 116, -8*y - 175 = 5*u - 3*y. Let z be 3 - (-8)/(u/420). What is the units digit of (z/8)/((-21)/112)?
8
Let q(f) = f**2 + f + 2. Let p be q(-2). Suppose 6*k - 35 = -35. Suppose k = -p*s + 37 + 283. What is the tens digit of s?
8
Let j be 1/(-4) - 846/48*-2. Let k(q) = -2*q - 2*q - j*q**3 - 29 - 19*q**2 + 34*q**3. What is the tens digit of k(-19)?
4
Suppose 132*b = 131*b + 104. Suppose -i + 150 = 5*w, 3*i - 692 = -2*i + 4*w. Suppose -4*u = -i - b. What is the units digit of u?
1
Suppose 91865 = 5*s + 37*x - 42*x, 0 = -s - x + 18385. What is the units digit of s?
9
Suppose -58*q - 75*q = -1218679. What is the tens digit of q?
6
Suppose 2*i = -g + 426, -2*g - 509 = -2*i - 83. What is the hundreds digit of i?
2
Let f(d) = 6*d**2 - 20*d + 124. What is the tens digit of f(35)?
7
Let p(s) = s**3 + 3*s**2 + s + 1. Let y be p(-3). Let d(m) = -146*m**3 + 2*m**2 + 2*m + 2. What is the tens digit of d(y)?
7
Let j = 73 - 71. Let k(a) = 20 + 2 + 15*a - 8 + 2*a**j. What is the units digit of k(-10)?
4
Let h = 105 - 111. Let l be 22/(-8) + h/24. What is the units digit of (l/(-2))/((-3)/1010*-5)?
1
Let k = -3519 + 2425. Let t = 1600 + k. What is the hundreds digit of t?
5
Suppose -2*s + 14809 = 3*b, -5*s - 879*b + 37027 = -876*b. What is the thousands digit of s?
7
Let d = 2027 + 233. What is the thousands digit of d?
2
Let r = 11 + -8. Suppose -r*b - 6 = -g, 2*g + 3*b = -b + 12. Suppose g*q - 1456 = -2*q. What is the units digit of q?
2
Let v(c) = c**2 - 6*c + 5. Let y be v(1). Suppose -x + 4*b + 586 + 81 = 0, y = 5*x + 2*b - 3225. What is the units digit of x?
7
Suppose -54*w - 52*w - 94*w = -4974400. What is the units digit of w?
2
Suppose -51480 = 504*f - 517*f. What is the thousands digit of f?
3
Suppose 98*y - 119*y + 152502 = 0. What is the tens digit of y?
6
Let r(c) = c**2 - 9*c + 17. Let x be r(6). Let b be -1*(x + -13 + 4). Let h = 129 - b. What is the units digit of h?
9
Let j be -503 - (-2)/(-4)*-14. Let o = j + 882. What is the hundreds digit of o?
3
Let q = 30436 + -16951. What is the hundreds digit of q?
4
Let j = -3731 - -7082. What is the units digit of j?
1
Let z = -17 - -17. What is the tens digit of (z + -4)/(4 - (-212)/(-52))?
5
Let g = -16 - -79. Let q = -61 + g. Suppose 0 = -3*y + 4*r + 452, -q*r = y - 5*r - 149. What is the tens digit of y?
5
Suppose 4*p + 2*l + 180 = -5744, 0 = -2*p - 2*l - 2964. Let n be (390/13)/(2 - 0). What is the tens digit of ((-9)/4)/(n/p)?
2
Let d be ((-14)/(-4))/(7/4). Suppose 2*b - 876 = 2*r, -4*b - d*r + 1788 = 3*r. What is the units digit of b?
2
Let w be -359*(-24)/44 - 4/(-22). Let h = -149 + w. What is the tens digit of h?
4
Let y = 38369 + -11839. What is the tens digit of y?
3
Let h = 15578 - 2930. What is the tens digit of h?
4
Let s = -276 + 274. Let r(q) = 268*q**2 + 4*q - 3. What is the thousands digit of r(s)?
1
Let w = -644 - -646. Suppose 0 = 3*o - o - 154. Suppose -13 = -w*r + o. What is the tens digit of r?
4
Let n be 80/35 + (-4)/14. Suppose 5390 = -n*x + 9*x. Suppose x = 5*j - 0*o + o, 3*o + 462 = 3*j. What is the tens digit of j?
5
Suppose -33*g = -38*g - 5*w + 125415, 2*g + 5*w = 50184. What is the hundreds digit of g?
0
Suppose -3*i + 5*p + 2319 = -1017, 4512 = 4*i + 4*p. What is the thousands digit of i?
1
Let f(q) = -q**3. Let z(o) = -5*o**3 + 18*o**2 + 18*o + 13. Let b(l) = -6*f(l) + z(l). Let m be b(-17). What is the units digit of 732/20 + 1 + m/(-10)?
8
Suppose -17*n - 2637 + 21082 = 0. Let f = n + -554. What is the units digit of f?
1
Let r = 505 - 503. Suppose 10*v - 8*v - 1228 = r*c, -1220 = -2*v + 4*c. What is the units digit of v?
8
Suppose n + 90 = 31*n. Suppose -15*d = n*d - 4716. What is the units digit of d?
2
Let y = 3737 + 593. What is the thousands digit of y?
4
Suppose 0 = 4*g + 3*j - 11466 + 566, j - 8175 = -3*g. Let n = g + -1328. What is the hundreds digit of n/5 + (-1)/10*4?
2
Let s be -3*(10/15)/(2/(-5)). Suppose -s*g + 873 + 202 = 0. Let n = g + -78. What is the units digit of n?
7
Suppose 0 = -135*g - 55698 + 149658. What is the tens digit of g?
9
Let k(p) = -p**3 - 21*p**2 - 91*p + 18. What is the units digit of k(-17)?
9
Suppose -5*u + 2 = -18. Suppose -4*k - 5*o = 455, 4*k - u*o + 149 + 279 = 0. What is the units digit of (-27)/(-2*(-5)/k)?
7
Let c = -7602 + 8163. Suppose -24 = -5*v - g - 0*g, -4*v + 23 = -3*g. Suppose v*l + 0*u = -u + c, 449 = 4*l + u. What is the hundreds digit of l?
1
Let b(o) = -o**3 + 14*o**2 + 3*o + 77. What is the hundreds digit of b(14)?
1
Let t(s) = -255*s + 100. What is the tens digit of t(-32)?
6
Let b be 10/(-5) + 4 - -5. Suppose -12 = -b*f + 9. Suppose -j = -f*c - 17, 9 = 4*j + 5*c - 25. What is the tens digit of j?
1
Let f be (-2)/((-8)/19) - (-3)/(-4). Suppose 3*q + f*b = 8*q - 5194, -2*q + 2078 = -2*b. What is the hundreds digit of q?
0
Let x be 316/5 + (-5)/25. Let i = x - -7. Let q = -10 + i. What is the tens digit of q?
6
Let g(c) = 2*c**2 - 8*c - 2. Suppose -o - 16 = 4*b, -34 = -4*o + 2*b - 80. What is the units digit of g(o)?
2
Suppose -14*g + 132469 = 36975. What is the tens digit of g?
2
Suppose 3*c + 14815 = 4*m - 150204, 3*m - 3*c = 123759. What is the ten thousands digit of m?
4
Let q be (-1097)/(152/(-16) - -9). Let i = q + -729. What is the units digit of i?
5
Suppose -506027 = -35*k + 1320693. What is the units digit of k?
2
Suppose 318 + 112 = x. Suppose 5*u = -2*p + x, -3*u - 2*u + 3*p = -405. What is the tens digit of u?
8
Suppose -8*s - 4*c + 34 = -3*s, 4*s = 4*c + 20. Suppose 180 = -s*y + 10*y. Let k = -4 + y. What is the units digit of k?
1
Let y = 154 - 152. Suppose -4*m + 4*s + 1174 = y*s, 1 = -s. What is the tens digit of m?
9
Let l(t) = -185*t**3 - t**2 + 10*t - 39. What is the ten thousands digit of l(-6)?
3
Let n = -7897 + 13996. What is the units digit of n?
9
What is the ten thousands digit of 125/(-15)*203481/(-69)?
2
Suppose -58*s = 52*s - 116*s + 26232. What is the thousands digit of s?
4
Let u be 6 - (3 - 2) - 1. Suppose u*l - 4591 = -5*c, 0 = -5*c - 3*l - 0*l + 4587. What is the tens digit of c?
1
Suppose 0 = 4*u - 9*s + 12*s - 27236, 5*u + 4*s - 34044 = 0. What is the hundreds digit of u?
8
Suppose 3787 - 22099 = -3*i - 3*q, -5*i + 5*q + 30560 = 0. What is the tens digit of i?
0
Suppose -28*q + 24*q = 4*l - 132704, 0 = -5*l - 2*q + 165865. What is the ten thousands digit of l?
3
Suppose 3380 = 14*p - p. Suppose p = 2*d - 0*d. Let a = d - -13. What is the units digit of a?
3
Let u(b) = -21*b + 16. Let w be u(-9). What is the units digit of 0 + (-2)/10 - (-1476)/w?
7
Let o(z) = -3*z**3 + 11*z**2 + 14*z + 204. What is the ten thousands digit of o(-15)?
1
Let m = -9339 + 14933. What is the thousands digit of m?
5
Let f = 27480 + -12950. What is the thousands digit of f?
4
Suppose -1903067 = -156*x + 2003404 + 1011429. What is the thousands digit of x?
1
Suppose -322051 - 29633 = -23*p - 45370. What is the thousands digit of p?
3
Let o(t) = 14 - 45*t**2 + 8 - 44*t**2 + 100*t**2 - 10*t. What is the tens digit of o(5)?
4
Suppose 2*r = -4*d - 4, r - 4*d - 13 + 3 = 0. Let z(x) = 4*x - 7*x**r - 10 + 39 + 27*x**2 - x**3. What is the units digit of z(20)?
9
Let s(h) = 62*h**2 + 16*h - 229. What is the thousands digit of s(10)?
6
Let w(v) = 88*v - 153. Let d(l) = -8*l - 114. Let y be d(-15). What is the units digit of w(y)?
5
Let o be 2 + (7/(-21))/(1/9). What is the units digit of (14 - o)*(-1 + 4)?
5
Let c(r) = 43*r + 2. Let g be c(7). Suppose 5*a + g = 48. Let u = 91 + a. What is the units digit of u?
0
Suppose 25*g + 122379 - 297054 = 0. What is the tens digit of g?
8
Suppose 5*y - 263 = 332. Let t(f) = -2 - y*f - 21 + f**3 - 9*f**2 + 112*f. What is the units digit of t(10)?
7
Suppose -4*x + 3*i = -6*x + 19, -2*i = -10. Suppose b + 554 = z, x*z + 0*b = 5*b + 1108. What is the units digit of z?
4
Suppose 8*m + 5*b - 13 = 6*m, -5*b = 5*m - 55. Let i(y) = -y**2 + y. Let p(t) = -4*t**2 + 23*t - 20.