 the units digit of o?
1
Suppose 0*j - 9 = -3*j. Suppose -231 = -6*f + j*f. What is the units digit of f?
7
Let r = 7388 + -2015. What is the thousands digit of r?
5
Suppose 2*m = -5*u - 260 + 58, 5*m + 539 = -4*u. Let d = m - -196. What is the tens digit of d?
8
Let x(m) be the first derivative of 49/2*m**2 - 5 + m. What is the tens digit of x(1)?
5
Let l = -54 - -36. What is the units digit of (-1768)/l + (-2)/9?
8
Suppose -5*c + 2*c = 5*g + 35, 5*c = 3*g - 47. Let a = 15 + c. Suppose -2*t - 4 = 2*v, -a*v + t = 4*t. What is the units digit of v?
3
Let q = -8 + 18. Suppose -q = 5*l - 5*s, -2*s + 4 + 0 = -4*l. Suppose -4*y + 26 = -j - 10, -4*y - j + 36 = l. What is the units digit of y?
9
Let b be 2 - (0 - (-3 + 4)). Suppose b*r + 0*r - 15 = 0. What is the units digit of 173/r + 2/5?
5
Suppose 538*v - 544*v + 3990 = 0. What is the tens digit of v?
6
Let i(q) = 3*q**2 - 6*q + 3. Let m be i(4). Let h = m + -21. What is the units digit of h?
6
Suppose -4*u + 2*u = -2. Suppose -h = -u - 3. Suppose -2*c + 68 = 2*r, h*c = -r + 2*c + 33. What is the units digit of r?
5
Let p(w) = 6*w. Let t be p(7). Let a be t/(-10) + (-1)/(-5). What is the units digit of ((-3)/5)/(a/20)?
3
Let x(n) = 12 + 2*n - n - 4*n. Let r be x(8). Let i = r - -17. What is the units digit of i?
5
Suppose 0 = -4*k + k - 9. Let f = 4 + k. Let p = 3 + f. What is the units digit of p?
4
Let b(x) = -32*x**2 - 2*x - 3. Let a be b(-2). Let f = -91 - a. What is the units digit of f?
6
Let j be 0/(-7)*(-1)/(-2). Suppose 5*k - 2*k = j. Suppose k = -6*c + 7*c - 24. What is the tens digit of c?
2
Suppose -19 = -4*i + 17. Let u(s) = -s + 17. Let q be u(i). Suppose 4*y - q = 32. What is the units digit of y?
0
Let h(y) = -2*y - 20. Let m(i) = 2*i + 19. Let q(o) = -4*h(o) - 3*m(o). What is the units digit of q(-9)?
5
Suppose 2*w - 5*f - 123 = 82, -2*f - 103 = -w. What is the units digit of w?
5
Let d be (14/9)/((-8)/(-24))*-24. Let s = 40 - d. What is the units digit of s?
2
Let m(y) = 89*y**2 - 7*y + 8. What is the tens digit of m(-4)?
6
Suppose -4*u + 70 + 78 = 0. What is the tens digit of u?
3
What is the tens digit of (990/20 - -5)*(22 - -2)?
0
Suppose -9*n + 16 + 20 = 0. Suppose 100 = 2*u + 3*o, n*u - 3*o = 214 + 4. What is the units digit of u?
3
Suppose -6*g + 5*g = 6. Let c(x) = x**3 + 7*x**2 - x + 9. What is the units digit of c(g)?
1
Suppose 0*b = -3*b - 6. Let s be b/12*-3*-208. What is the units digit of 4/6 + s/(-6)?
8
Suppose -2*q + 19 = -q. Suppose 5*j = -2*k + 5, 2*j + 0*k = -2*k - 4. What is the tens digit of j/(-6)*-2 + q?
2
Suppose 996 = -6*s + 6012. What is the units digit of s?
6
Suppose 0 = 4*n - 2*n - 64. Suppose -7*r - n = -11*r. Suppose 0 = -2*z - r, 4*i - 3*z - 2*z - 116 = 0. What is the units digit of i?
4
Let q(d) be the third derivative of d**4/12 - d**3/6 + 8*d**2. Let j be q(9). Let m = j + -8. What is the units digit of m?
9
What is the tens digit of 5 - 2*(-267 + 2/2)?
3
Suppose 0 = 5*a + 5*r - 5455, -3*r = -5*a - 5*r + 5458. What is the tens digit of a?
9
Let j = 2753 + -1428. What is the tens digit of j?
2
Suppose -12*i + 16 + 32 = 0. Suppose -4*b + n - 3 = 0, 3*b + 3*n + 1 = 5*n. What is the tens digit of (-25)/b - i/(-2)?
2
Suppose -12890 = -5*r - 2*l, 3*r + 2*l = -5627 + 13357. Let b(k) = k**3 - 4*k. Let h be b(4). What is the tens digit of (-2)/(-8) + r/h?
5
Let c = -3846 - -6823. What is the thousands digit of c?
2
Let s(v) = 2*v + 21 + 39 - v**2 + 2. Let u(w) = -w**3 + w. Let b be u(-1). What is the units digit of s(b)?
2
Let c(b) = 254*b**2 + 25*b - 67. What is the tens digit of c(3)?
9
Suppose -4*w + 30 = 2*g, 3*g = -3*w + 6*g + 27. What is the tens digit of (-72)/42*(-252)/w?
5
Suppose 0 = -5*p + 4*p + 614. What is the tens digit of p?
1
Let n be (4/(-5))/(4/40). Let v = 13 + n. Suppose -v*m = -2*a + 39, -3*a + 50 = 2*m - 37. What is the units digit of a?
7
Let n(k) = k**3 + 6*k**2 + 5*k + 4. Let j be n(-5). Suppose 102 = -y + j*y. What is the units digit of y?
4
Suppose 18*r + 5*r - 24633 = 0. What is the units digit of r?
1
Suppose 2*y - q - 1921 = 0, 6 = -5*q + 1. What is the tens digit of y?
6
Suppose 2*q - 7*q + 75 = 0. Let y be (-5)/((-48)/q + 3). Let u = -2 + y. What is the units digit of u?
3
Suppose -12 = 14*b - 17*b. Suppose b*x + 15 = 131. What is the tens digit of x?
2
Suppose -4*w = 3*c + 484 + 396, 2*w + 458 = 3*c. Let g = -84 - w. What is the units digit of g?
9
Let o = -557 + 1141. What is the hundreds digit of o?
5
Suppose 0 = -o - 2 + 6, 4*b - 5*o - 52 = 0. Suppose 4*u = -3*c + 183, -4*c - b = -6. Let i = -16 + u. What is the units digit of i?
2
Let t(p) = 3*p**2 + 14*p + 7. Let r(q) = -2*q**2 - 14*q - 7. Let f(g) = -5*r(g) - 4*t(g). Let o be f(8). What is the units digit of (40/30)/((-1)/o)?
2
Let o(p) be the third derivative of -p**6/120 + p**5/12 + 5*p**4/24 + 4*p**3/3 - 6*p**2. Let d be o(6). What is the units digit of 3/(-3) - (-33 + d)?
0
Suppose -2728 = 6*x - 8*x. What is the hundreds digit of x?
3
What is the units digit of 7276/14 + (24/7)/12?
0
Suppose 2*s = -4*s + 96. Suppose 4*x = 3*x + 4*c + s, -2 = 2*c. What is the units digit of x?
2
Suppose -2*u - 3*z + 5578 = 0, -50*u - 2*z - 13983 = -55*u. What is the units digit of u?
5
Suppose 0*l + 5*l = 0. Let j be ((l - 0) + 1)*1. Suppose 0 = 4*q - 19 - j. What is the units digit of q?
5
Suppose 12*i = 9*i - 48. Let g = i - -56. What is the units digit of g?
0
Let w be 2/((-6)/9 - (1 + -1)). What is the hundreds digit of (404/48*w)/((-1)/4)?
1
Let o be (-120)/(-9) - (-6)/(-18). Suppose -t - t = 5*c + 78, 0 = c + 3*t + o. What is the tens digit of (15 - c) + (2 - 1)?
3
Suppose 63*u - 67*u + 684 = 0. What is the units digit of u?
1
Let w(i) = 2607*i + 48. What is the units digit of w(1)?
5
Let n(i) be the second derivative of -i**3/3 + 3*i**2/2 + 4*i. Let u be n(0). Suppose -u*v + v = -144. What is the units digit of v?
2
Suppose 0 = p + 5*h, 2*p + 3*h = h + 16. Suppose p*l = 5*l + 1180. What is the hundreds digit of l?
2
Suppose 26*y = -8*y + 65552. What is the tens digit of y?
2
Let v = 1835 - 409. What is the thousands digit of v?
1
Let o = 3383 - 2350. What is the hundreds digit of o?
0
Suppose 6156 = -4*d + 3*g, 2*g + g + 1539 = -d. What is the tens digit of (1 - -2)/((-27)/d)?
7
Let r = -300 + 562. Let b = r - 91. What is the units digit of b?
1
Let v(m) = m + 9. Let w be v(-4). Suppose w*x = -c + 9, 2*c - 3*x + 1 = 6. Suppose c*t - t = -4*i + 60, 5*t = 4*i + 100. What is the units digit of t?
0
Suppose 2*h - 10 = 2*s, -5*h - 5*s = -30 - 45. Suppose 4*m = -2*k - 34, 8*m - 3*m = -4*k - 50. Let x = m + h. What is the units digit of x?
4
Suppose 1 + 5 = 3*h. Suppose 7*n - h*n = -5*d + 45, -2*d + 42 = 5*n. What is the units digit of n?
8
Let k(q) = q**3 + 11*q**2 - 13*q + 8. Let r be k(-12). Suppose r = 13*c - 8*c. What is the tens digit of c/26 + (-4445)/(-91)?
4
Let y(m) = m**2 - 16*m - 37. Let q be y(18). What is the tens digit of q - 428/(-4) - 1?
0
Let y(z) = 20*z + 4. Let b be (-2)/(-15) + 182/210. What is the tens digit of y(b)?
2
Suppose 5*d + 0 - 20 = 0. Suppose -2*m = 2*m - 2*k - 230, -d*k = 20. What is the units digit of m?
5
Let o be ((-120)/(-21) - 5) + (-4)/(-14). What is the tens digit of (-75)/(-5)*(1 + o/3)?
2
What is the units digit of (-5 + -23)*4*21/(-6)?
2
Suppose 2*g - i = -3*g + 235, -2*g + 82 = 2*i. Suppose -a + g = y + 4, a + 2*y = 46. What is the tens digit of a?
3
Let n(a) = -a**3 + 14*a**2 - 12*a + 2. Let y be n(13). Let z be (-8)/(-12) - 10/y. Suppose z = -3*f - 6*r + r + 154, 4*r + 4 = 0. What is the units digit of f?
3
What is the units digit of (-4558)/(-3) + (-78)/(-117)?
0
Let s = -11 - -24. Let v(o) = -7*o + 6. Let h be v(4). Let n = s - h. What is the tens digit of n?
3
Let s(q) = q**2 - 13*q - 3. What is the units digit of s(14)?
1
Suppose 0 = -62*i + 18*i + 9944. What is the hundreds digit of i?
2
Let q = -28 + 10. Let w be 9*-3*34/q. Suppose -3*x + x + 41 = s, -s + 3*x + w = 0. What is the units digit of s?
5
Let p(t) = 3*t - 7. Let o = -3 + 8. Let f be p(o). Let x(d) = -d**2 + 13*d - 4. What is the units digit of x(f)?
6
Let i(l) = l**3 - 2*l**2 - l - 3. Let y be i(3). Suppose y*s = -0*s + 6. Suppose -7 = -3*c + s*c. What is the units digit of c?
7
Let h(z) = 4*z - 3*z - 8*z - z + 2. Let c(u) = u - 3. Let s be c(2). What is the units