Suppose 3*f - r = 20456, 0 = 53*f - 51*f - r - 13640. What is the tens digit of f?
1
Let p = 510 - -11857. What is the tens digit of p?
6
Let s be 6*(-91)/(-42)*6. Suppose 0 = 2*o + c - s - 55, 4*o - 3*c = 291. What is the tens digit of o?
6
Let t = 2 + 2. Suppose 0*k + 15*k = 9675. Suppose 0 = t*m - k - 63. What is the units digit of m?
7
Let p be (-81)/189 - (-7134)/(-14). Let y = -250 - p. What is the hundreds digit of y?
2
Let l be (56/(-140))/((-2)/780). Let o = l - 14. What is the units digit of o?
2
Suppose -3*o - 2*i - 10 = 0, -5*o - 8 = -3*i - 23. Let g be o/(((-2)/(0 + -2))/1). Suppose -4*v + 269 + 291 = g. What is the hundreds digit of v?
1
Let n(d) = -20*d**3 + d**2 + 5*d + 6. Let r be n(-2). Suppose m - r = 82. What is the tens digit of m?
4
Let f be 0 + (-4 - (2 - 7))*-3. Let a(j) = 17*j**2 + 8*j. What is the units digit of a(f)?
9
Let y(h) = -2*h**3 - 13*h**2 + 53*h + 80. What is the hundreds digit of y(-19)?
0
Let n(s) = 453*s + 21. Let v be n(3). Suppose v = -12*p + 17*p. What is the tens digit of p - (-1 - (-10)/2)?
7
Suppose -20 = -4*z - 4*s, 0*z + 3*z + 2*s = 14. Suppose -5*q = -3*q + z, 5*q = -3*o + 752. Let r = -134 + o. What is the units digit of r?
0
Suppose -34*o - 3*x - 6438 = -37*o, -4*x = 3*o - 6473. What is the tens digit of o?
5
What is the tens digit of 152/190 + 77/(-14)*(-30804)/10?
4
What is the units digit of (1 + 1)/((-59)/1592115*(1 - 7))?
5
Let f(b) = b - 6. Suppose -2*r + 24 = -3*z, r - 5*r + 40 = -2*z. Let u be f(r). What is the units digit of u - 80/(2 + -3)?
3
Let u(t) = -43*t + 5950. What is the thousands digit of u(39)?
4
Let c(b) = 192*b**2 - 24*b + 184. What is the thousands digit of c(6)?
6
Suppose 75*m - 89805 = 276495. What is the units digit of m?
4
Suppose -3983 = -z + 5*w, z - 15998 = -3*z - 2*w. What is the tens digit of z?
9
Suppose -9*w + 34*w = 193850. What is the hundreds digit of w?
7
Let o = 11095 - 3514. What is the hundreds digit of o?
5
What is the hundreds digit of 18943 + 10 - (-12 - -26)?
9
Let d(x) be the second derivative of x**7/252 + x**6/80 + x**5/24 - 3*x**4/4 + 9*x. Let h(c) be the third derivative of d(c). What is the units digit of h(-3)?
8
Suppose 39 = l + 38. Let x be l/(-2*(-2)/1004) - -1. Suppose 4*j = -g + 3*g - x, -4*g + 522 = j. What is the hundreds digit of g?
1
Let l be (-1)/5 - 1308/(-15). Suppose -33 = -9*v - l. What is the units digit of (-86)/(-6) + (-4)/v?
5
Let v(t) = 9*t - 13. Let z be v(2). Suppose 3*u - 290 = -z*a, -46 = -a + 7*u - 10*u. What is the units digit of a?
1
Suppose 0 = 5*b + 2*i - 10200, -5*i = -18*b + 16*b + 4080. Let h = b + -995. What is the units digit of h?
5
Let n = -15 + 26. Let d = 15 - n. What is the units digit of ((30/d)/(-15))/(1/(-84))?
2
Suppose -4*z + 18 = -3*k, 2*k + 2 = 2*z - 12. Let d = k - -26. Suppose -2*x - d + 280 = 0. What is the hundreds digit of x?
1
Let f(d) = -d**3 - 33*d**2 - 27*d + 64. Let l be f(-32). What is the tens digit of (-4)/(-32)*6*-1*l?
7
Suppose -26930 = -4*m - k, m - 3*k + k = 6728. Suppose 22*q - 13*q = m. What is the units digit of q?
8
Suppose -1 = -4*a - 3*i, 10*a + 17 = 6*a + 3*i. Let s be 0/5 + (-15)/(-3) + a. Suppose 2*u = t + 544, t - 880 = -s*u - 59. What is the hundreds digit of u?
2
Let s(q) = 50*q**2 - 7*q + 8. Let m(b) = 51*b**2 - 7*b + 7. Let l(u) = 4*m(u) - 3*s(u). What is the tens digit of l(2)?
0
Let x(l) = -13*l**3 + 6*l + 3. Let h be (-67)/13 + 4/26. Let i(a) = -20*a**3 + 9*a + 4. Let z(t) = h*i(t) + 8*x(t). What is the tens digit of z(-2)?
3
What is the thousands digit of (368394/(-507))/((-3)/273)?
6
Suppose 92*h - 57789 = -3*g + 95*h, -4*h + 211953 = 11*g. What is the tens digit of g?
6
Suppose 50*o = 54*o. Let d = -1 + -1. Let j = o - d. What is the units digit of j?
2
Let b be 2/10 - 455/25. What is the hundreds digit of (-31)/(-1)*(41 + b)?
7
Let j be ((-25)/20)/((-2)/(-8)). Let t = -2 - j. What is the tens digit of (-3 - -15)/(t/14)?
5
Suppose 55*o - 25*o = -28*o + 418818. What is the thousands digit of o?
7
Suppose -5*x + 4*a = 16, -3*a + 9 + 3 = x. Suppose -172 = j - 6*r + 4*r, x = -5*j - 2*r - 908. Let o = -95 - j. What is the tens digit of o?
8
What is the units digit of (-1)/(-4) - (32 + -35 + (-98974)/8)?
5
Let g(l) = 2*l + 1. Suppose 2*j - 3*r = -11, -3*j - 3*r = r - 26. Let q be g(j). Suppose 415 = 4*a + q*i, 3*i - 39 = a - 147. What is the tens digit of a?
0
Let q = -151 + 307. Suppose -x - l = -120 - 24, -x = 4*l - q. What is the units digit of x?
0
Let p(a) = a**2 + 1. Suppose 2 + 1 = -3*i. Let c be p(i). Suppose -c*s + 3*s = 51. What is the units digit of s?
1
Let s be (30/8)/(2/8). Let a = 2640 - 2506. Let d = a - s. What is the units digit of d?
9
Suppose 0 = 8*n - 697 + 601. Let g(w) = w**3 - 2*w**2 - 56. What is the thousands digit of g(n)?
1
Let w be (11 - 10)*((-4)/2 - -8). Suppose -2*c - w = -x, 14 = x - 5*c + c. What is the units digit of -8*(-4 - -2) + x?
4
Let w(s) = 518*s + 3294. What is the units digit of w(19)?
6
Let h(r) = -18*r**3 - 5*r**2 + 14*r - 101. What is the ten thousands digit of h(-10)?
1
What is the tens digit of 0 - (1 + (-6296 - -14))?
8
Let a(x) = -13*x - 78. Let v(w) = -3*w - 73. Let f be v(-17). What is the units digit of a(f)?
8
Let r be 21 - (6 - 3) - 4. Suppose 26 = 8*c - 14. Suppose -625 = -4*s - 5*q, -c*q = r + 1. What is the hundreds digit of s?
1
Let c(k) = 32*k**3 - 1. Let t be c(1). Let w = -23 + t. Let v(s) = -s**3 + 11*s**2 - 10*s - 14. What is the units digit of v(w)?
8
Let l = 7677 - 3272. What is the units digit of l?
5
Suppose w = -2*k + 12, k - 24 + 8 = -3*w. Suppose z - 5*g - 207 = -3*g, 1077 = 5*z + w*g. What is the tens digit of z?
1
Let j(a) = a + 12. Let p be j(-9). Suppose -l - p + 7 = 0. What is the tens digit of 0 - (-70 + l/1)?
6
Suppose -4*v = -z - 10531, -3*v + 8*z = 10*z - 7890. Suppose v - 421 = 11*d. Suppose d*q - 564 = 197*q. What is the units digit of q?
1
Let m(k) = -k + 13. Let t be m(13). Let q(g) be the second derivative of -g**4/12 + g**3/6 + 81*g**2/2 - 18*g. What is the units digit of q(t)?
1
Suppose -4*z + 4*k - 636 = 0, 0 = -5*z + k + 3*k - 791. Let r = z - -461. Suppose -r = -30*d + 28*d. What is the tens digit of d?
5
What is the ten thousands digit of (2346 - 1)*-2*18/144*-64?
3
Let p = -48 - -102. Suppose 3*y = -p + 1371. What is the hundreds digit of y?
4
Let p be (-25)/(-10) - 2/4. Let c(y) = y + 2. Let n be c(p). Suppose -4*l - n*j + 4 = -204, -5*l = -3*j - 284. What is the units digit of l?
5
Let b be (-650)/39*6/(-8)*26. Suppose 44*n = 45*n + b. What is the tens digit of (n/(-10))/(-5)*-2?
1
Let k(a) = 14*a - 84*a**2 + a + 1349*a**2 - 14*a. What is the thousands digit of k(1)?
1
Suppose -153*b + 69*b = -53*b - 729399. What is the hundreds digit of b?
5
Suppose -4*a + 3*f + 10236 = 0, 0*f = f. Let l = 3665 - a. What is the tens digit of l?
0
Let z(l) = -6*l**3 - 64*l**2 - 7*l + 2. Let j = 669 - 680. What is the units digit of z(j)?
1
Let g(x) = -115*x - 68. Let w be g(-8). Let f = w - 504. What is the units digit of f?
8
Let j = -263 + 265. Suppose 0 = 5*l - 10, -4*l - 29 = j*k - 1761. What is the tens digit of k?
6
Suppose -19*c = -0*c - 285. Suppose c*m - 504 = m. What is the tens digit of m?
3
Let v(a) be the second derivative of a**6/144 - a**5/10 + 2*a**4/3 + 4*a. Let h(o) be the third derivative of v(o). What is the units digit of h(13)?
3
Suppose -69*v + 145*v = -289*v + 9308230. What is the units digit of v?
2
Let r(n) = -222*n**3 + 77*n + 229. What is the units digit of r(-5)?
4
Let o = 31763 - 22148. What is the thousands digit of o?
9
Let m(h) = -h**2 - 12*h - 5. Let u be m(5). Let w be ((-36)/u)/(1/10). Suppose -w*z + 4*a + 256 = 2*a, 2*a = -5*z + 338. What is the units digit of z?
6
Let i be (-17)/(-5) + (-86)/215. Suppose -y - 4878 = -4*k, k + i*y + 1225 = 2*k. What is the thousands digit of k?
1
Let o(i) = -20*i - 56. Let k be o(-3). Suppose -49*g - 4*x + 3487 = -46*g, 0 = -k*g + 3*x + 4641. What is the hundreds digit of g?
1
Let g(n) = 37*n**2 + 66*n + 381. What is the units digit of g(-11)?
2
Let g be (-11)/(55/(-8715)) + -1. Suppose g - 317 = 15*l. What is the tens digit of l?
9
Let p = -22253 - -33205. What is the units digit of p?
2
Suppose 0 = 124*s - 188*s + 3690496. What is the tens digit of s?
6
Let n be ((-320)/(-360))/((-2)/(-9)). Suppose 0 = -5*v - 2*o + 