s(w). What is the units digit of a(20)?
2
Let d = 32380 + -21308. What is the ten thousands digit of d?
1
Suppose 161*l - 13*l = -153335 + 1365603. What is the thousands digit of l?
8
Suppose 0 = -9*b - 3*f + 450687, 3*b - f - 150227 = -0*f. What is the hundreds digit of b?
0
Suppose -5*k = 5*s - 91440, 4*k - 4*s - 24890 = 48198. What is the tens digit of k?
8
Let w = -5 + 10. Suppose -2*z - 296 = -t, 0 = 2*t - w*z - 457 - 133. Suppose 0 = 3*i + 3*i - t. What is the units digit of i?
0
Let o(q) = -q**3 - 5*q**2 - 5*q + 3. Let s be o(-4). Suppose 2*u = -4*l - s - 1, 0 = -4*l. What is the tens digit of 51*(-5)/60*u?
1
Let i(l) = 4*l + 56*l**2 - 48*l**2 - 6*l - 7*l + l**3. Let j be i(-9). Suppose j = 8*v - 145 - 223. What is the units digit of v?
6
Let c = 516 + -1711. Let f = c - -2041. What is the units digit of f?
6
Let n(j) = -j**3 - 2*j**2 + 5*j - 9. Let w be n(-4). Suppose 1783 = w*c - 3*s + 211, -2*s + 530 = c. What is the units digit of c?
6
Let n = -171 - -373. Suppose -2*b = n - 42. Let m = b - -138. What is the units digit of m?
8
Let t(p) be the first derivative of p**4/4 + 13*p**3/3 - 13*p**2/2 - 3*p - 1. Let m = -88 + 75. What is the hundreds digit of t(m)?
1
Let s = 10184 - 1031. What is the thousands digit of s?
9
What is the thousands digit of 6843395/975 + 6/45?
7
Let g(y) = -y**3 - y**2 - 2*y. Let t be g(-1). Let o(z) = 7 + 16*z**t - 7*z**3 + 22*z + 17*z - 3*z + 6*z**3. What is the units digit of o(18)?
7
Suppose a = -3*m - 3*a - 64, -4*m = -5*a + 106. Let j be m*(8/(-6) + 2). What is the hundreds digit of (4/j)/(2/(-872))?
1
Let y(t) = -2*t**3 - 106*t**2 - 62*t - 238. What is the thousands digit of y(-55)?
5
What is the hundreds digit of ((0 - -1) + 15)*102440/52?
5
Suppose 18*h - 1334 = -11*h. Suppose 160 = 2*l - h. What is the hundreds digit of l?
1
Let o(b) = 36*b**2 + 21*b + 27. Let z(p) = -35*p**2 - 19*p - 26. Let c(s) = -4*o(s) - 5*z(s). What is the hundreds digit of c(-5)?
7
Let v be (4/(-3) + 2)*-3. Let k(q) = -51*q**3 - 3*q**2 + 1. What is the units digit of k(v)?
7
Let c = -220 + 225. What is the hundreds digit of (874/c - -2) + (-12)/15?
1
Let n = 378 + -379. What is the hundreds digit of (-35)/(-20)*n*2*-188?
6
What is the thousands digit of ((-651320)/(-304))/(3/24)?
7
Let j(z) = -4449*z - 8585. What is the tens digit of j(-7)?
5
Suppose 6*b = 15 - 3. Let v(n) = -97*n + n**2 + 22 - 80*n + 0*n**b + 188*n. What is the hundreds digit of v(11)?
2
Let p(w) = 43*w + 1. Let c be p(-1). Let o = 58 + c. What is the units digit of (-540)/8*o/(-6)?
0
Let l(g) = 2*g**2 + 52*g + 4201. What is the tens digit of l(0)?
0
Suppose 7*j - 4*o + 1035 = 8*j, 0 = 4*j + 4*o - 4116. What is the thousands digit of j?
1
Let s(m) = 53*m - 24. Suppose -9*z - 17 + 80 = 0. What is the units digit of s(z)?
7
Let w(l) = -376*l - 86 - 386*l + 779*l. What is the units digit of w(18)?
0
Let y(m) be the third derivative of -37*m**4/6 + 43*m**3/6 - m**2 - 98*m. What is the tens digit of y(-4)?
3
Suppose 2*s = -5*f + 35625, -16*s + 15*s + 17814 = 2*f. What is the units digit of (-20)/(-3)*s/275?
2
Suppose 17836 = 4*p - 4*f - 16456, -5*p - 3*f + 42841 = 0. What is the hundreds digit of p?
5
Let k(w) = -3*w - 24. Let h be k(-9). Suppose -741 = -h*n - 165. What is the units digit of n?
2
Let b(f) = 0*f - 3*f**3 + 2*f**3 - f + 2*f**3 - f**2. Let t(m) = m**3 + 3*m**2 + 9*m - 10. Let z(i) = 2*b(i) - t(i). What is the hundreds digit of z(8)?
1
Let l = 12976 + -7509. What is the thousands digit of l?
5
What is the units digit of (-123655)/(-35) + 4/4*-5?
8
Let s = 2696 + -418. What is the thousands digit of s?
2
Let k(i) = 2*i + 4. Let l be k(-7). Let r = 15 + l. What is the units digit of (-38)/r*(-15)/6?
9
Suppose -4*s - 300 = 6*h - h, 190 = -3*s + 5*h. Let l = s + 131. What is the tens digit of l?
6
Suppose 2*o - 2367 = r + 2*r, r + 3540 = 3*o. Suppose -13*n = 784 + o. Let w = 22 - n. What is the hundreds digit of w?
1
Let t(f) = 18*f**2 + 17*f + 25. Let x be t(-19). Suppose x + 11044 = 12*g. What is the thousands digit of g?
1
Suppose -4*u = 3*b - 210, 79 = b + 4*u + 1. Suppose 4*x - 80 = -2*s, 5*s - 4*x - 218 = -5*x. Let l = b - s. What is the tens digit of l?
2
Let z = 6877 + -5089. What is the thousands digit of z?
1
Let j be (64/(-6))/(100/(-15) + 6). Suppose 2*c = -r - 3, 4*c + j = -0. Suppose -4 = 3*p + r*v - 53, -4*p = 4*v - 76. What is the units digit of p?
3
Suppose -107*m = -116*m + 7407. What is the units digit of m?
3
Suppose c = 4*b - 9, 5 - 17 = -4*b + 4*c. Suppose -b*u + 990 = 4*r, 3*u - 5*u + 972 = -5*r. What is the tens digit of u?
9
Suppose -2062*u + 2061*u + 5737 = 0. What is the units digit of u?
7
Suppose -53*w = -405741 + 18841. What is the tens digit of w?
0
Let j(a) = -2*a - 13. Let z be j(-5). Let k be (4/z)/(6/(-414)). Let f = k - 52. What is the tens digit of f?
4
Let n(d) = 17*d**2 + 1203*d - 128. What is the units digit of n(-91)?
6
Suppose 6*g - 3092 - 1912 = 0. What is the units digit of g?
4
Let i(u) be the second derivative of u**5/10 - u**4/2 - 5*u**3/3 + 3*u**2 + 5*u - 4. What is the hundreds digit of i(7)?
3
What is the units digit of 2 + -1 - ((-9426)/3 - (6 + 0))?
9
Suppose -6 = -4*b - 298. Let x = b - -75. Suppose 34 = q + y, -42 = -x*q - 3*y + 24. What is the units digit of q?
6
Suppose -73 = 8*t - 49. What is the units digit of t + 5 - -369 - 6?
5
Let z(q) = -53*q + 28. Let c be z(-3). Let p = c + -115. What is the tens digit of p?
7
Suppose -2*h + 25665 = 13*h. Suppose -6*a + h = -665. What is the tens digit of a?
9
What is the units digit of 426239/55 + 30/25?
1
Let b = 19012 - 9195. What is the tens digit of b?
1
Suppose -11*b - 3142 = -16584. Suppose -6*u + 8*u - b = 2*y, -2*u - 4*y + 1252 = 0. What is the hundreds digit of u?
6
Let g = -15445 + 29083. What is the units digit of g?
8
Let o = -771 + 773. Let g(m) = m**3 - 5*m**2 + 4*m + 3. Let i be g(4). Suppose -i*b = -6*b - o*l + 340, 128 = b - 3*l. What is the units digit of b?
6
What is the ten thousands digit of (137 + 0)/((-21)/(-2121))?
1
Suppose 32*x = 65*x + 37*x - 350. Let n(y) be the first derivative of 3*y**4/4 - 7*y**3/3 - 7*y**2/2 + 11*y - 2. What is the units digit of n(x)?
6
Suppose -30 - 19 = -7*s. Suppose -3561 = -s*n - 1307. What is the tens digit of n?
2
What is the ten thousands digit of (-1 + 3)/((-7)/((-49)/(-14))) + 27154?
2
Let v(p) = 2079*p + 3778. What is the thousands digit of v(15)?
4
Suppose -98*a + 192858 + 304156 = -179284. What is the hundreds digit of a?
9
Suppose -p + 5*r = -2, 5*r = 5*p + r - 10. Suppose -3*j + 8 = -2*k, 9*j - 4*j - 16 = p*k. What is the tens digit of -69*(2 + (-12)/j)?
6
Let n(y) = 2*y + 85. Let v be n(-39). Let w = -213 + 307. Suppose 0 = -v*h + w + 417. What is the tens digit of h?
7
Let d = -9683 - -35034. What is the units digit of d?
1
Let j(z) = 188*z**2 - 130*z - 8. What is the units digit of j(17)?
4
Let q(c) = 6*c**2 + 210 - 212 + 3*c**2 - 6*c. Let j(g) = -8*g**2 + 5*g + 3. Let y(m) = -5*j(m) - 4*q(m). What is the units digit of y(8)?
1
Let x(o) = o**3 + 11*o**2 - 5*o + 9. Suppose 8*p + 112 = 48. What is the units digit of x(p)?
1
Let t be -1*(44/(-8) - 12/8). Let h be (-6)/2 - (t - 4/4). Let p(b) = b**2 - 6*b - 9. What is the units digit of p(h)?
6
What is the units digit of (-112406)/(-7) + -31 + 10?
7
Suppose 0 = -73*s + 5*s + 11*s + 681777. What is the ten thousands digit of s?
1
Let n(v) = 9*v**2 - 34*v - 23. Let g = -47 - -40. Let m(z) = 4*z**2 - 17*z - 11. Let o(q) = g*m(q) + 3*n(q). What is the tens digit of o(14)?
5
Suppose -u - 5*h - 13 = 10, 5*h + 10 = 0. Let d = u + 13. What is the units digit of (49 + 2)*2 - (d - -3)?
9
Suppose -415*y + 9696432 + 9949668 = 0. What is the hundreds digit of y?
3
Suppose 152*s + 55*s - 1572744 = 55*s. What is the thousands digit of s?
0
Let w(s) = 7*s**2 + 7*s - 5. Let o be w(-6). Let v be (-2)/(1 + 1) + o. Suppose 0*g - 2*g - 3*x + 135 = 0, 3*x = -3*g + v. What is the units digit of g?
9
Let k(z) = -4*z**3 - 7*z**2 + 3*z + 3. Suppose -q - 5*c = 20 - 10, 23 = -4*q - 3*c. What is the tens digit of k(q)?
1
Suppose -3*d - 4 = 3*i + 11, -3*d = 2*i + 15. Suppose -5*l + 3055 - 1115 = i. Let k = l - 172. What is the units digit of k?
6
Suppose 6*k - 1031 = -11. Let n be ((-75)/(-45))/(2/6). What is the tens digit of k/2 - (-9 + n)?
8
Let u(n) = 4*n - 32. Let v