t k be (6787/(-45) - (-18)/81)*-10. Let l = k + -411. What is the units digit of l?
5
Suppose 43 = -l + 2*l - 3*a, 161 = 3*l - a. Let u be -82*((-11)/l + (-29)/5). Suppose 3*p - u + 21 = 0. What is the hundreds digit of p?
1
Suppose -4*c + 143 = -b, -c + 4*b + 16 = -16. Suppose -4*a - c = -w + 103, 3*w - 465 = -4*a. What is the tens digit of w?
5
Suppose 0*x = -6*x + 102. Let q(f) = -6*f + 45 + 0*f - x. What is the hundreds digit of q(-12)?
1
Let t be 76/57 + (7/(-3) - -2). Let c(z) = 620*z**3 + z**2 - z. What is the hundreds digit of c(t)?
6
What is the ten thousands digit of (9/((-135)/(-15260)))/(58/609)?
1
Suppose 0 = -s - s - 2, 0 = 2*z + 2*s + 8. What is the units digit of z/((-6)/(-4))*(-225)/6?
5
Let w(o) = o - 9. Let t be w(12). Suppose 0 = q + 2*q - t*j - 258, 3*q - j - 258 = 0. What is the tens digit of q?
8
Suppose 3*v - h = 5*v + 38, -v + h - 22 = 0. What is the tens digit of (2 - -1) + (-5980)/v?
0
Let a = 63467 + -33321. What is the ten thousands digit of a?
3
Let g = -27900 - -42616. Suppose 3502 = -14*i + g. What is the hundreds digit of i?
8
Let j = -1769 - -1871. Let s be (-40)/7 + (-6)/21. Let a = j - s. What is the hundreds digit of a?
1
Suppose 3*t + 3*x - 57135 = 0, -2*t + 7*x - 11*x + 38104 = 0. What is the tens digit of t?
3
Suppose v = -31*i + 32*i - 5713, 0 = 2*i + 2*v - 11422. What is the units digit of i?
2
Suppose y - 113 = -4*y - z, -3*z = -9. Suppose -y*n - 74 = -21*n. Let a = 66 - n. What is the tens digit of a?
4
Let l(r) = -92*r - 159. Let b be l(-13). Suppose 3*s - b = -185. What is the tens digit of s?
8
Suppose 0 = -94*n + 68*n + 1010107 - 275685. What is the thousands digit of n?
8
Suppose d = -3*y + 21, 5*d = -y + 3*d + 2. Suppose y*j - 5*j - 12 = 0. Suppose 13 = -l - j*w, 4*w = 4*l - 19 - 9. What is the units digit of l?
3
Suppose -5*m - 33*k + 121985 = -36*k, 4*k - 122020 = -5*m. What is the ten thousands digit of m?
2
Let u(i) be the second derivative of 9*i**4/4 - 2*i**3/3 - 2*i**2 + 8*i. Let g be u(-3). Let o = g + -171. What is the tens digit of o?
8
Let y(b) be the second derivative of -b**3/6 - 9*b**2/2 + 22*b. Let g be y(-13). Suppose -83 = -g*f + 17. What is the tens digit of f?
2
Let f(u) = -u**2 + u + 6. Let s be f(-3). What is the units digit of 5134/12 + (-1)/s?
8
Let r be 323/(-6) + 3/(-18). Let p = 63 + r. Let k(i) = -i + 20. What is the tens digit of k(p)?
1
Suppose 175*d - 250128 = 151*d. What is the units digit of d?
2
Let a be ((-429)/(-130))/(-33) + (-66542)/(-20). Let k = a - 2138. What is the units digit of k?
9
Let o(f) = 16*f**2 + 9*f + 5. Let a be o(-3). Let l = a + -205. Let b = -2 - l. What is the tens digit of b?
8
Let c(r) = -r**2 + 30*r + 263. Let p be c(36). Let h = 54 - 99. Let w = h + p. What is the units digit of w?
2
Let u(b) = 8*b**2 - b - 2. Let h be u(2). Let z be 2/8 - (-77)/h. Suppose 0 = 3*t - z*d - 492, 4*t + 3*d - 333 = 330. What is the hundreds digit of t?
1
Let i = 167446 + -117918. What is the hundreds digit of i?
5
Suppose 108*l + 3889516 - 8606533 = 3536559. What is the thousands digit of l?
6
Let d(g) = -74 + 24 - 24 - 16*g. Let t be d(-8). Let a = t + -47. What is the units digit of a?
7
Let l be 6/(4/(3 - 27)). Let h be (-4 + l/(-8))*0. Suppose 3*c + 3*q + 18 = 7*c, h = -2*c - q + 14. What is the units digit of c?
6
Suppose r + 2*k - 3045 = 0, -14*r + 16*r = -5*k + 6088. Let w = r + -1585. What is the thousands digit of w?
1
Suppose -4*o - 1760 - 77 = -3*q, -4*q = 20. Let d = 656 + o. Suppose -n + 5*x + 68 = 0, -3*n + 5*x - x + d = 0. What is the units digit of n?
3
Suppose 5*g + 243 - 268 = 0. What is the hundreds digit of 253 - (g - -2)/7?
2
Let h(w) = -14*w**3 + 23*w**2 - 20*w - 161. What is the thousands digit of h(-7)?
5
Suppose -9822 = 4*g - 13288 - 34042. What is the tens digit of g?
7
Let w be (116/6)/((-8)/(-156)). Let d = w - -1380. What is the thousands digit of d?
1
Let j = 22390 + 17630. What is the hundreds digit of j?
0
Let n(o) = o**3 - 2*o**2 + 7*o + 8850. What is the hundreds digit of n(0)?
8
Suppose -2*p - u + 18690 = 0, -18698 = -2*p - 57*u + 60*u. What is the units digit of p?
6
Let n = 8347 - -13702. What is the hundreds digit of n?
0
Suppose -21*d - 6573 - 5019 = 0. Let b = 813 + d. What is the tens digit of b?
6
Let v = 18287 + -4732. Suppose -5*s = -3*n + 4909 - v, 5*s - 8661 = -2*n. What is the units digit of s?
1
Suppose 36*d - 32*d - 2715904 = -99*d. What is the tens digit of d?
6
Let j(l) = l - 7. Let r be j(23). Suppose 0*v - 4*w = -v - r, -3*w + 12 = -v. Suppose -2*z = -z - n - 85, n + 2 = v. What is the units digit of z?
3
Let a be (-6)/33 - 26/22*54. Let h = -44 - a. Let t = h + 146. What is the hundreds digit of t?
1
Let r(b) be the second derivative of -13*b + 1/2*b**3 + 0 + 12*b**2. What is the tens digit of r(5)?
3
Suppose -144 = -26*h + 8*h. What is the units digit of (75/45)/((h/1038)/4)?
5
Let u(o) = o**3 - o**2 - 10*o + 5. Let b be u(8). Let y = b - 189. What is the hundreds digit of y?
1
Let y = -739 + 416. What is the units digit of y/(-57) - 8/(-6)?
7
Let z(q) = -26*q - 20 - 33*q**3 + 27*q**3 + 0*q**2 - 8*q**2. Let j(d) = 5*d**3 + 8*d**2 + 25*d + 19. Let o(p) = 7*j(p) + 6*z(p). What is the tens digit of o(9)?
0
Let l(v) be the second derivative of v**5/12 + 7*v**4/12 - v**3 + 8*v**2 + v. Let d(s) be the first derivative of l(s). What is the units digit of d(-6)?
0
Let v = -70 - -8. Let r be (0 - 3)/(2/v). Suppose 29 = -2*q + r. What is the tens digit of q?
3
Let o(u) = -102*u**2 + 2694*u - 11. What is the units digit of o(25)?
9
Let d = 3215 - -641. What is the tens digit of d?
5
Let o = 70 - 103. What is the tens digit of 41 - ((-11)/o)/((-1)/(-3))?
4
Suppose -4*q - 1025 = q. Let d = -199 + 569. Let b = q + d. What is the hundreds digit of b?
1
Suppose -j - 2*j + 312 = 0. Let k = j + -37. Suppose 2*h = 4*l + 90, -3*l - 123 = -4*h + k. What is the tens digit of h?
4
Let p(z) = 18*z + 491. Let m be p(-27). Let f = -70 - -246. Suppose 7*v = m*v + f. What is the units digit of v?
8
Let j(d) = 1414*d**2 + 43*d + 1. What is the tens digit of j(-2)?
7
Let y(b) = 19*b**2 - 13*b - 40. Let p be y(11). Let v = p + -1018. What is the units digit of v?
8
Let w = -47 - -68. Suppose 0 = -8*g + w + 11. Suppose n = g*n - 294. What is the units digit of n?
8
Suppose 5*g - 4 = -5*d + 31, 2*g - 5*d + 14 = 0. Suppose -3*f + g*q + 756 = 0, 2*f + 0*q - 511 = -5*q. Suppose -f = -6*w + 191. What is the tens digit of w?
7
Let l = -457 + 457. Suppose l = -2*k - 559 + 1645. What is the units digit of k?
3
Suppose -4*c = -3*r - 3*c + 29, -4*r - 3*c = -17. Suppose -5*z - u + 2 = -40, -r = -2*z + 4*u. What is the tens digit of (-1224)/(-14) - z/(-14)?
8
Let k(r) = -2*r - 3*r + r**2 - r + 12 - r. Let v(z) = -2*z**2 + 15*z - 25. Let m(t) = -11*k(t) - 6*v(t). What is the units digit of m(14)?
2
Let u be ((-56)/(-40))/((-2 - -1)/(-5)). Suppose -2*b = -u*b - 7710. What is the units digit of (-2)/(-4) + b/(-12)?
9
Let q(w) = 27*w - 24. Let n be 65/7 - (-52)/(-182). Suppose 10*f - n*f - 5 = 0. What is the tens digit of q(f)?
1
Let t be (7598/5)/((-35)/(-175)). What is the tens digit of t/12 - 12/72?
3
Let h(n) = -95*n - 2262. What is the units digit of h(-64)?
8
Let d(j) = -j**3 - 6*j**2 - 8*j - 22. Let s be d(-5). What is the units digit of 984 - (4 + 4 + s)?
3
Suppose 4 - 1 = o. Let z(w) = 33*w**2 - w - 1. What is the hundreds digit of z(o)?
2
Suppose -5*h + 22467 = 2*y - 5*y, h = -3*y + 4497. What is the thousands digit of h/3*(25 - 24)?
1
Let r = 24 - 61. Let j = 42 + r. Suppose -5*h + j*l = -200, -8*h - 2*l = -4*h - 130. What is the units digit of h?
5
Suppose 137 - 47 = 5*f. Suppose 3*v = f - 6, 214 = 2*m + 4*v. What is the units digit of m?
9
Suppose -45374 = -2*k - 4*h, 2*h + 208048 = 12*k - 64196. What is the thousands digit of k?
2
Suppose -3*t = 6*h - 4*h - 1368, -5*t + 3425 = 5*h. Let b = -245 + h. Suppose 3*v - 680 = -5*k, -12*v = -3*k - 7*v + b. What is the hundreds digit of k?
1
Suppose -576*p = -2*d - 579*p + 70960, 2*d + 5*p = 70968. What is the tens digit of d?
7
Let w = -11617 + 22011. What is the ten thousands digit of w?
1
Let t = 1039 + 285. What is the tens digit of t/7 + (-20)/140?
8
Let p = 364 + -624. Let a = 438 + p. Let u = -104 + a. What is the tens digit of u?
7
Suppose 45*m - 20244 = 43*m. What is the hundreds 