et p be l(-15). Let r = n + p. What is the units digit of r?
5
Suppose -17*z - 86411 = -40*z. Suppose 2*h + 3236 = 3*j + 424, -4*j - 5*h + z = 0. What is the units digit of j?
8
Let o(c) = -c**3 + 11*c**2 + 6*c + 5. Let a be o(5). Let q = 616 - a. What is the hundreds digit of q?
4
Suppose 0 = -173*u + 179*u - 36. Suppose -19 - 53 = -u*z. What is the tens digit of z?
1
Suppose 4013326 = 232*d - 1031626 - 629072. What is the ten thousands digit of d?
2
Let b(p) = 23*p**2 + 3*p + 1. Let v be b(8). Suppose -2*j - i + v = 0, -2*i - 4 = -14. What is the hundreds digit of j?
7
Let l be (-168)/152 - 6/(-57). Let i be -8*((-21)/(-12) + -2)*l. Let o(f) = -28*f + 4. What is the units digit of o(i)?
0
What is the ten thousands digit of 3/(-5) + (1 - 0)/(85/916436)?
1
Let p(s) = -s**2 - 16*s - 48. Let x be p(-7). What is the hundreds digit of ((-1912)/(-10))/(-6 + 96/x)?
4
Suppose -2*b - 836 = -2*h, 3*b + 1451 = -4*h + 176. Let q = b - -758. What is the tens digit of q?
3
Suppose 2*j - 80*s + 84*s - 12608 = 0, -4*j - 4*s = -25228. What is the hundreds digit of j?
3
Suppose 4934 = 5*t + u, 2*u - 4910 = -5*t + 7*u. Suppose -t + 188 = -2*g. What is the units digit of g?
9
Let x(p) be the first derivative of 87*p**4/4 + p**2/2 + 226. Suppose -5*g + 6*g - 1 = 0. What is the tens digit of x(g)?
8
Suppose -6*v = -12*v - 486. Let b = v - -84. Suppose d = b*n - 4*d - 451, d = n - 151. What is the tens digit of n?
5
Let t(p) = 2*p**2 + 22*p + 122. Let a be t(-6). Suppose 39*l = a*l - 24311. What is the units digit of l?
7
Suppose -20*f + 31 - 731 = 0. Let p(w) = -w**3 - 37*w**2 - 76*w - 40. What is the units digit of p(f)?
0
Let q(g) = 12*g**2 + 21*g + 126. Let d(a) = -a**2 + 9*a + 27. Let j be d(12). What is the units digit of q(j)?
9
Suppose g + 5*d = -950 + 3170, 5*g - 11230 = d. Suppose 4*w - g = 167. What is the hundreds digit of w?
6
Let k(i) = 53*i + 2. Let t = -53 - -59. Let x be -2*(-12)/(-16)*(-8)/t. What is the tens digit of k(x)?
0
Let m(k) = 14 - 2*k - 15 + k + 2*k. Let u(o) = 151*o**2 + 2*o. Let y(w) = 3*m(w) + u(w). What is the hundreds digit of y(1)?
1
Let i be (0 - 1) + 36 + -17. Let h(t) = t + 98. What is the units digit of h(i)?
6
Suppose -5*f = y + 1242 - 8861, -5*y + 4*f + 38066 = 0. What is the thousands digit of y?
7
Let i(j) = 9*j**3 + 6*j**2 + 52*j - 626. What is the ten thousands digit of i(13)?
2
Suppose -3*t = -27*t + 253488. What is the units digit of t?
2
Suppose 0 = -3*l + 5959 + 6125. Suppose 116 = -24*k + l. What is the tens digit of k?
6
Let m(v) = 219*v + 20. Let b = -29 - -31. What is the tens digit of m(b)?
5
Suppose 5*x - 3636 = 2*o - 22835, -4*x = -20. What is the units digit of o?
2
Suppose 7*o - 36 = 19*o. Let f(a) = -15*a**3 - 3*a**2 + 5. What is the tens digit of f(o)?
8
Suppose -4*p + 3*m - 53 = 2*m, -4*p - 4*m = 68. Let g = 579 - p. What is the units digit of g?
3
Let d = 11673 + -3768. Suppose 13*v - d - 16743 = 0. What is the tens digit of v?
9
Let u = -8350 + 13511. What is the units digit of u?
1
Suppose 3*j = 3*w + 9, w + 0*w + 9 = 3*j. Suppose q - 63 = -w*q. What is the units digit of q?
3
Let d be 152/24 - 4 - 1/3. Suppose -9*b - d = -20. Suppose 0 = -2*a + z + 3*z + 172, -z = b*a - 147. What is the tens digit of a?
7
Suppose 0 = 4*t + 2*p - 5*p - 38, 3*t + p - 22 = 0. Suppose 0 = -4*n + t, 3*n + 63 = 4*l - 79. Let y = 36 + l. What is the units digit of y?
3
Let a = 43 + -9. Let c = a + 42. Suppose 0*g = -4*g + c. What is the tens digit of g?
1
Let f(q) = q**3 - 10*q**2 + 16*q + 4. Let n be f(8). Suppose t + 5*j + 445 = n*t, 3*j = -2*t + 265. What is the units digit of t?
0
Let i = -319 - -1066. Let j = i - 604. What is the hundreds digit of j?
1
Let h be 17174/6 - (-8)/(-24). Suppose h = -877*t + 883*t. What is the tens digit of t?
7
Let z = 598 + -444. What is the thousands digit of -11*(-28)/z + 1 + 1874?
1
Let r = -519 - -263. Let m = r + 527. What is the tens digit of m?
7
What is the ten thousands digit of 40/(-6) - -5 - 13/(351/(-466173))?
1
Let r be (-18)/(3/60*-6). Let k = 70 - r. What is the units digit of (-2)/(-5) - (-686)/k?
9
Suppose 3*t - y - 62 = 0, 0 = -31*t + 33*t - 3*y - 46. What is the tens digit of 8/t + 18078/30?
0
Suppose -3*z - 5304 = -4*j - j, 4*j + z = 4250. Suppose -1058*d + j*d = 1364. What is the units digit of d?
1
Suppose -17*l = 33*l - 1000600. What is the units digit of l?
2
Let r = -5 - -17. Let b be 1*16/r*3. Suppose 4*w + b = 0, -5*w - 8 = -2*x + 103. What is the units digit of x?
3
Suppose 0*i = -2*i. Let p(k) = -76 - 3*k - 186 + 386. What is the units digit of p(i)?
4
Let a(u) = 3*u**3 - 5*u**2 + 8*u + 225. Let r(s) = -2*s**3 + 4*s**2 - 7*s - 227. Let b(l) = -3*a(l) - 4*r(l). What is the tens digit of b(0)?
3
Let f = 146 + 429. Let v = f - 265. What is the units digit of v?
0
Suppose -4*f - 28*f = -35712. Let o = f - 161. What is the hundreds digit of o?
9
Suppose 7*z = 109 - 347. What is the tens digit of z*(-2 - (-3)/(-2))?
1
What is the thousands digit of -16 + 3 + 21 - -1477?
1
Suppose 2*n + 718 = -958. Let q be n*(-1 + 0) + -5 + 2. Suppose -q = 4*j - 9*j. What is the tens digit of j?
6
Let n(i) be the second derivative of -14*i**3/3 - 7*i**2/2 - 3*i + 6. Let o be n(-3). What is the units digit of o/(-33)*1*-3?
7
Suppose -3*r = -5*g + 62771, -g = 3*r - r - 12562. What is the thousands digit of g?
2
Let u(r) = 7194*r**2 + 6*r + 5. What is the thousands digit of u(-1)?
7
Suppose 10*w - 47620 + 170350 = 0. Let c be 255/(-35) - -7 - w/7. Suppose 12*i - c = 1247. What is the tens digit of i?
5
Let o(c) = 10*c - 48. Let d be o(6). Suppose d*s - 1663 = 233. What is the units digit of s?
8
Suppose 2*u - 3*b = 1, u + b + 4*b + 6 = 0. Let v be (-6)/9*(2 - u). What is the hundreds digit of v + 4 + 100 - 0?
1
Let v(c) = 12*c - 65. Let k be v(32). Let b = k - 246. What is the units digit of b?
3
Let s = 15704 - 14786. What is the hundreds digit of s?
9
Suppose i + 5*l - 7854 = 0, 3*i = -l + 3*l + 23613. What is the thousands digit of i?
7
Let m(i) be the first derivative of -127*i**2 + 160. What is the units digit of m(-2)?
8
Let q be (-675)/90*(-4)/5. Suppose -q*x + 15*x = 10242. What is the hundreds digit of x?
1
Let n = 22256 - 2627. What is the hundreds digit of n?
6
Suppose 0 = 2*w - 3*m - 2, -2*m + 5 = 4*w + 1. Let z be 0*(1 + -2)*w. Suppose z = 5*u - 4*q - 0*q - 712, 4*q = -12. What is the units digit of u?
0
Let c = -2505 - -5573. What is the thousands digit of c?
3
Let z(h) = 36*h**2 + 140*h + 2535. What is the tens digit of z(-23)?
5
Let h be 10*(-7 - (-3905)/10). Suppose -2307 = -3*v - g, 14*v - 19*v - 5*g = -h. What is the units digit of v?
0
Let c = -14068 - -20933. What is the thousands digit of c?
6
Suppose 102*d + 506017 = 173*d. What is the hundreds digit of d?
1
Let u = 594 + -271. Let b = u - 126. Suppose 3*i - 2*h + 7*h = b, -2*i = h - 136. What is the units digit of i?
9
Let x be 1/(-2) + (-2908)/8. Let p = 226 - x. What is the units digit of p?
0
Let m(v) = 6*v + 15. Let q be m(-5). What is the tens digit of (-8)/10 + ((-8964)/q)/2?
9
Let y(j) = -302 + 157 + 162 - 59*j. What is the hundreds digit of y(-2)?
1
Let o = -54 + 58. What is the tens digit of (-1179)/(-63) - -1 - o/(-14)?
2
Let y(o) = 8*o**3 - 73*o**2 - 37*o - 29. What is the hundreds digit of y(15)?
9
Let h = 6 - 1. Suppose h*f - 3*f = -2*f. Suppose f*l - 4*i + 490 = 3*l, 0 = -2*l + i + 312. What is the units digit of l?
8
Suppose -3*u = -2*t - 4, -127*t + 126*t = -5*u + 2. What is the thousands digit of (-3 - -1747) + t + 1?
1
Suppose 30*n = 36*n - 91720 - 2306. What is the tens digit of n?
7
Suppose 6 = 3*t, -3*k - k - t + 18 = 0. Let f be k - 66/15 - 96/10. What is the tens digit of (-1)/(309/(-735) + (-4)/f)?
4
Let q = 4085 - 283. What is the thousands digit of q?
3
Let w(a) = a**3 + 12*a**2 - 15*a - 41. Let v be w(-13). Let u = 3 - -2. What is the units digit of (u/3)/((25/v)/(-5))?
5
Let h = 92 + -90. Suppose g + h*g + 2*q - 6 = 0, -3*g = 5*q - 6. What is the hundreds digit of g - (-2)/(10/545)?
1
Suppose 67 = -4*i + 87. Suppose -q - 4 = 1, q - 130 = -i*b. What is the hundreds digit of (-227)/(-3)*b/9?
2
Let x(w) = 2*w**2 + 42*w + 28. Let a be x(-21). Suppose -9*b - 82 = -a. What is the hundreds digit of 1072/4 + (-3 - (b - -2))?
2
Suppose 10*y + 60170 = -18*y + 429238. What is the thousands d