t n = -21 - -78. Suppose -8*v + 5*v + n = 0. Let k = 33 - v. What is the units digit of k?
4
What is the hundreds digit of -5 + (-16)/(-2) - -2270?
2
Suppose 5*y = -87 + 102. Let o = -1 + 4. Suppose -t = 4*w - o*w - 7, y*w = -t + 23. What is the units digit of w?
8
Let a(b) = -93*b - 1593. What is the hundreds digit of a(-83)?
1
Let t(h) = 3*h**2 - 10*h - 54. What is the hundreds digit of t(21)?
0
What is the thousands digit of (-2)/((-22)/99) - -1739?
1
Let r = -398 - -835. What is the tens digit of r?
3
Let o = 54 - 51. Suppose -d - 3*m = -27, 4*d = o*d - 2*m + 24. What is the tens digit of d?
1
Let z(s) = 80 - 3 + 0*s + s + 4*s. What is the tens digit of z(16)?
5
Let v be ((-12)/8)/((-9)/(-24)). Let y be 1 + 2 - (-3 - v). Suppose -y*z - z + 8 = 4*n, z = -n + 3. What is the units digit of z?
4
Let x(w) = -6*w - 5. Suppose 0 = 2*q - 10*q - 40. What is the tens digit of x(q)?
2
Suppose 63*s = 64*s - 96. Suppose 5*l - s - 39 = 0. What is the units digit of l?
7
Let s(g) = -g**3 - 7*g**2 + 8*g - 15. Suppose 6*l - y = 2*l - 44, 22 = -l + 3*y. What is the tens digit of s(l)?
0
What is the tens digit of 2021 - (2 + 9 - 9)?
1
Let n be -4*(-1)/2 + 53. Let v = -41 + n. What is the units digit of v?
4
What is the hundreds digit of 5 + 4/8*826?
4
Let v(n) = -7*n + 15. Let j(z) = z - 1. Let s(h) = 6*j(h) + v(h). What is the units digit of s(7)?
2
Let h be 2/8 + (-75)/(-20). Suppose 221 = -x + 5*x + 3*j, 276 = 5*x + h*j. What is the tens digit of x?
5
Suppose 2*k - 1702 = -4*x, 12*x - 17*x = 20. What is the tens digit of k?
5
Suppose 2 = -p, 2 = 2*q + p + 4*p. Suppose -2*w = -q*w + 312. What is the units digit of w?
8
Let c(a) = -23*a + 80. What is the units digit of c(-20)?
0
Let f be 6/4 - (-135)/18. Let m = 35 + f. What is the units digit of m?
4
Suppose -10 = -4*l - 2. Let v = 27 + 3. Suppose -l*z + v = h - 0*h, -z - 36 = -h. What is the units digit of h?
4
What is the units digit of -84*((-177)/12 - -2)?
1
Let i(f) = 3*f + 1. Let w = -2 - -6. What is the units digit of i(w)?
3
Let w(v) = -v - 1. Let i(q) = -q**2 - 11*q + 5. Let x(g) = i(g) - 2*w(g). Suppose -2*y - 5*z = 39, 3 = 4*y - 5*z + 6. What is the units digit of x(y)?
1
Suppose 1803 = -3*j + 600. Let q = -156 - j. Suppose -8*p + q = -p. What is the tens digit of p?
3
Let k = -158 - -237. Let d be -49 + -1 - (24 - 22). Let q = k + d. What is the units digit of q?
7
Suppose -158 = -z + 2*a, -495 = -4*z + 2*a + 131. What is the units digit of z?
6
Let v(g) = 2*g**2 + 3*g. Let p be 0/(-2 - 2 - -7). Suppose p = w + w + 8. What is the tens digit of v(w)?
2
Let n = 407 + 950. What is the hundreds digit of n?
3
Suppose 0*m - m + 3 = 0. What is the units digit of ((-60)/(-14))/m*35?
0
Suppose 2*h = -5*m + 560, h = -0*h - 5. Let n = m - -221. What is the tens digit of n?
3
Suppose -l + 8 - 2 = 0. Let k be (-1)/(3/l) - 1. Let r(y) = 8*y**2 + y - 1. What is the tens digit of r(k)?
6
Suppose -5*h + 15 = 0, 3*h = 3*o - 2*o + 7. What is the units digit of (o + 1/(-2))*34?
1
Let n(m) = -843*m - 42. What is the units digit of n(-2)?
4
Let a(c) be the third derivative of c**6/60 - c**5/10 - c**3/3 - 7*c**2. Let o be a(3). What is the units digit of -1 + (o - (-296)/4)?
1
Let j(f) be the third derivative of -5*f**4/24 - 11*f**3/3 + 8*f**2. What is the tens digit of j(-19)?
7
Let c be (0 - 0)/(3*6/(-18)). Suppose -8*f + 618 + 550 = c. What is the hundreds digit of f?
1
Let f(l) = -23*l**3 - 2*l + 4. Let h be f(-2). What is the tens digit of (69/(-4))/((-36)/h)?
9
Let i = 15 - 12. Suppose 4*s = i*s + 3. Suppose -5*q - b + 16 = -37, 0 = s*q - 5*b - 15. What is the tens digit of q?
1
Let y(r) = -2*r**2 + 3*r + 7. Let v be y(-3). Let l be 4/(v/(-725)) - 3. Let x = l - 98. What is the units digit of x?
4
Let p = 3 + -1. Suppose 0 = c - p*g - 25 - 24, 80 = 2*c + 2*g. What is the units digit of c?
3
Let y be (-45)/2*(-7)/(28/(-8)). Let a = y - -97. What is the tens digit of a?
5
Let j be 1/(-3 - 16/(-6)). Let q(r) = r**3 - 3*r**2 + 1. Let z(d) = d**3 - 3*d**2 + d. Let k(s) = j*q(s) + 4*z(s). What is the units digit of k(4)?
9
What is the tens digit of 473 - (3/(9/15) - 3)?
7
Let p(n) = 5*n**3 + n**2 + n + 1. Let y be p(-1). What is the tens digit of 4596/48 - (-3)/y?
9
Let n(f) = f**3 - f**2 - 2*f + 2. Let b be n(2). Suppose -3*x = -a - 141, -2*x - 5*a = b*x - 207. Let q = 75 - x. What is the units digit of q?
7
Let u(d) = d**3 + 33*d**2 - 4*d - 83. What is the tens digit of u(-33)?
4
Suppose -3*u - 5*x = -9 - 18, 4*u = -5*x + 31. Suppose -15 = 5*t + 3*s, -13*s = t - 14*s - 5. Suppose -u*y - y + 50 = t. What is the tens digit of y?
1
Let r = -21 + 12. Let v = -4 - r. Suppose 2*k = v*u + 79 - 263, 0 = 4*u - 5*k - 137. What is the units digit of u?
8
Suppose -3*y = -7*y + 8. Let q(w) = 10*w. What is the tens digit of q(y)?
2
Suppose -3*o + 2*d - 1 = 8, -o = 3*d + 14. Let g(p) = p**3 + 4*p**2 - 4*p + 7. Let l be g(o). Suppose -a = -15 + l. What is the units digit of a?
3
Let t = 44 - -429. What is the hundreds digit of t?
4
Let v = -476 + 3518. What is the thousands digit of v?
3
Let h(i) = -i**2 - i - 2. Let o be h(-5). Let m = o - -119. What is the tens digit of m?
9
Suppose 1 + 9 = -2*p, -5*s + 3*p + 25 = 0. Let u = 422 - 246. Suppose -s*q + 6*q - u = 0. What is the units digit of q?
4
Suppose 42 = -4*u + 2*z, -5*u + 5*z - 26 = 39. What is the tens digit of ((-944)/u)/(2 + 6/(-4))?
3
Suppose -2*m - 97094 = -45*m. What is the hundreds digit of m?
2
Let s be (-1 - -35)/((-2)/(-4)). Suppose 3*o - 17 = -m - 4*m, -5*o + 25 = 5*m. Suppose 0*l - 52 = -o*g - 5*l, 4*g - s = -l. What is the units digit of g?
8
Suppose -48 = 6*p + 48. Let a = p + 12. Let j = a - -5. What is the units digit of j?
1
Let y = -791 + 1191. What is the tens digit of y?
0
Let u be (-7)/(-3) - (-8)/12. Let h(m) = m**3 + 3*m**2 - 3*m + 2. What is the tens digit of h(u)?
4
What is the tens digit of 5 + 1116/8 - (-1)/(-2)?
4
Let d = 1 - -82. Let b = d + -4. What is the units digit of b?
9
Let l be ((-8)/3 + 4)/((-4)/(-558)). Suppose 4*o - 809 = -c + l, -765 = -3*o + 3*c. What is the units digit of o?
0
Let c(f) = -7*f**2 - 17*f - 15. Let y(b) = 22*b**2 + 52*b + 46. Let h(j) = -16*c(j) - 5*y(j). Let o = -25 - -17. What is the tens digit of h(o)?
4
Suppose -4*r + 25 = q, -3*q + 2*q + 4*r + 57 = 0. Let m = q + 7. What is the tens digit of m?
4
Suppose 12*o = 2*y + 9*o - 819, 0 = y - 2*o - 411. What is the tens digit of y?
0
Let x(z) be the third derivative of -z**4/24 + 5*z**3/3 - 5*z**2. Let h be x(11). What is the tens digit of (-54)/(h - (-1 - -2))?
2
Let g(s) = -s**3 - 6*s**2 + 11*s + 10. Let f(y) = y**2 - 7*y - 7. Let b be f(7). Let n be g(b). Let d = 17 - n. What is the units digit of d?
5
Let z(k) be the third derivative of -k**4/8 + 13*k**3 + 11*k**2. What is the tens digit of z(0)?
7
Let w(x) = -x**3 + 6*x**2 - 3*x - 7. Let i be w(5). Suppose -4*u = i*a + 1, -u = 3*u - a + 5. Let o(q) = -16*q - 1. What is the tens digit of o(u)?
1
Let n = -6 - -8. Suppose -2*h + 0*q + 6 = 2*q, n*h = -4*q + 8. Suppose -h*f + 21 = f. What is the units digit of f?
7
Let a = 16 - 11. Suppose r + a*r = 132. What is the units digit of r?
2
Let c(k) = -35*k + 3. Let n be c(-10). Let o = -53 + n. What is the hundreds digit of o?
3
What is the units digit of 6*668*(-6)/(-72)?
4
Suppose -3463 - 2105 = -6*v. What is the units digit of v?
8
Let z be 1/3 + (-160)/(-6). Let o be (-6)/12 - 0 - (-62)/4. Let p = z - o. What is the tens digit of p?
1
Suppose 251 = -3*u - a, 4*u + 211 = 4*a - 145. Let v = 147 + u. What is the units digit of v?
2
Let a = 21 + -3. Let m = -17 + a. Suppose -2*g + m = -g. What is the units digit of g?
1
Let d = 913 + -38. What is the tens digit of d?
7
Let l(n) = 2 - 5 + 3 - 3 + 25*n. What is the tens digit of l(2)?
4
Let r(b) = -b**3 - 6*b**2 - 3*b - 6. Let a be r(-6). What is the units digit of ((-11)/3)/((-1)/a)?
4
Suppose -2256 = -113*t + 112*t. What is the units digit of t?
6
Let t = -741 + 1630. Suppose 5*d = t + 316. Suppose -d = -5*x + 54. What is the tens digit of x?
5
Suppose 3*t - u = 103 - 783, -u = 3*t + 688. What is the tens digit of (4/16)/((-3)/t)?
1
Suppose -2*h + 12 = -16. Suppose 0 = 5*n - 26 - h. Suppose p - 65 = -n. What is the units digit of p?
7
Suppose -2*h + 2*x + 160 = 0, -214 = -3*h - 2*x + 21. What is the units digit of h?
9
