- 20. Let v be k(-6). Suppose -v = -4*u + m + 7, -m = -u + 17. What is the units digit of u?
4
Let j be (-12)/16 + 1701/12. Let t = 199 - j. What is the units digit of t?
8
Suppose -9*l - 12*l = -33705. What is the units digit of l?
5
Let k be -3 - 9*(-1 - 0). Suppose -k*z - 368 = -10*z. What is the units digit of z?
2
Let k = -595 - -1100. What is the units digit of k?
5
Let o = 499 + -318. What is the units digit of o?
1
Suppose -4*n + 4*s + 156 = 0, 2*n + 2*s + 0*s - 66 = 0. Let q = n - -31. Suppose -3*u - 5*o = -4*u + 23, -q = -5*u + o. What is the units digit of u?
3
Suppose -5*g + 115 = -30. Suppose -4*o = -5*b + 30, 5*o = 2*b - 0*b - g. Suppose 4 = k + b. What is the units digit of k?
2
Suppose 0 = 9*c - 3864 - 771. What is the hundreds digit of c?
5
Let x be (-2)/(20/(-12) - -1). Let z be (3 - x) + 4*1. Suppose 3*g = z*n - 51 - 46, 0 = 5*g - 5. What is the units digit of n?
5
Suppose n + 33 = 2*l, 5*n - 43 = -5*l + 2. Suppose -5*u + l = -1. Suppose u*t = -3*g + 39, -3*g + 2*g + 18 = -4*t. What is the tens digit of g?
1
Let c = -39 + 39. Suppose 19*h - 11*h - 1352 = c. What is the tens digit of h?
6
Let c = -579 - -1044. What is the hundreds digit of c?
4
Suppose 2*w = -4*s + 28, -21*w - 3*s + 26 = -19*w. Let y(j) be the first derivative of -j**3/3 + 6*j**2 + 13*j + 1. What is the units digit of y(w)?
3
Let w(r) = 17*r - 7 - 8*r - 10. What is the units digit of w(9)?
4
Let p = 1 - 1. Let x(j) = j**3 - 3*j**2 + j - 7. Let r be x(4). Suppose -2*h + r + 11 = p. What is the units digit of h?
2
Let a(h) = -12*h**3 + h**2 + 2*h + 1. Let m be a(-1). Let f = -8 + m. Let y(o) = 2*o - 3. What is the units digit of y(f)?
5
Suppose 3*j = 4*g - 28, 0*g + 30 = g + 5*j. Suppose 0*m = 5*m + g. What is the tens digit of (-1 - 1)*(m + -5)?
1
Let u be 50/14 + (-18)/(-42). Suppose 2*c + 4*t - 16 = -4, t = u*c - 6. Suppose c*f + b - 4 = 25, 0 = 2*f - b - 31. What is the tens digit of f?
1
Suppose -a + 5*y - 2*y + 994 = 0, 2016 = 2*a + y. What is the thousands digit of a?
1
Let r = 2634 - 2456. What is the tens digit of r?
7
Suppose 5*j = -2*z + 175, 0*z - 266 = -3*z - 4*j. What is the units digit of 15/(z/4) + (-697)/(-3)?
3
Let w = 9230 + -5902. What is the hundreds digit of w?
3
Suppose -m = -2*x + 87, 5*m = 4*x + m - 168. What is the units digit of x?
5
Suppose -22*n + 9 = -19*n. Suppose 0 = -4*a - 2*j + 644, -4*j + 168 = 4*a - n*a. What is the tens digit of a?
6
Let z = -2491 - -3571. What is the thousands digit of z?
1
Let h = 346 - 244. What is the tens digit of h?
0
Let d(s) = 3*s + 10. Let u be d(8). Suppose 3*a = a - 3*c + 30, 2*a = -c + u. What is the units digit of a?
8
Suppose g - 277 = -4*h, -2*h + h + 61 = 3*g. Let r(k) = -41*k**3 - k. Let v be r(1). Let i = v + h. What is the tens digit of i?
2
Let t be ((-284)/10)/(5/(-25)). Let r = t + 35. What is the tens digit of r?
7
Suppose 19 + 35 = 3*g. Let a = -491 + 520. Let z = a - g. What is the tens digit of z?
1
Let o(s) be the third derivative of 3*s**5/20 + s**4 - 11*s**3/6 - 36*s**2. What is the units digit of o(-6)?
9
Let z be 46/(-6) - (-3)/(-9). Let i = -3 - z. Suppose 0 = i*p - 23 - 47. What is the units digit of p?
4
Let r(x) = x + 7. Let k(q) = q**3 - 17*q**2 - 17*q - 25. Let g be k(18). Let b be r(g). Let n = b + 29. What is the tens digit of n?
2
What is the units digit of (-1)/(3 - 2600/866)?
3
Let w be ((84/(-20))/3)/(1/(-35)). Let i = 95 - w. What is the units digit of i?
6
Suppose 0 = -2*b - 2*r - 2, -21 - 14 = 5*b - 5*r. Let w be ((-2)/b)/((-4)/(-16)). Suppose 5*g - c = 93, -6*c + w*c + 103 = 5*g. What is the tens digit of g?
1
Let x = -266 - -1581. What is the tens digit of x?
1
Let r(x) = 0*x**3 + 35*x**2 + 4*x**3 + 26*x - 5*x**3 - 15*x**2 - 13. What is the units digit of r(21)?
2
Let c(t) = 23*t - 103. Let m(w) = -11*w + 52. Let x(z) = 4*c(z) + 9*m(z). What is the units digit of x(0)?
6
Let b(q) = 5*q - 33. Let p be b(6). Let j = 43 - p. What is the tens digit of j?
4
Suppose 0 = -2*f - 2*g + 189 + 1019, 0 = -3*g + 6. What is the tens digit of f?
0
What is the tens digit of 6/(-2) - -458 - (1 + 1)?
5
Suppose -2*j - 3*j + 5 = 5*d, 13 = j - 2*d. Suppose 170 = j*x - x + h, 2*h = -3*x + 125. Suppose 2*c - x = u, 5*c - u + 38 = 138. What is the units digit of c?
9
Suppose -3*z - 40 = -5*g, 3*z + 26 = g - 18. Let c(l) = l**2 + 15*l - 2. Let f be c(z). Let v(p) = -9*p**3 - 2*p**2 - p - 3. What is the units digit of v(f)?
3
Let k(v) = v**2 - 3*v - 3. Let y be k(5). Suppose y + 5 = a. Let s = a + 17. What is the tens digit of s?
2
Let j(m) = -m**3 - 10*m**2 - 12*m - 19. Let l be j(-10). Let f = 117 - l. What is the units digit of f?
6
Suppose 2*w - 4*p - 4028 = -11*p, -2*p = 5*w - 10039. What is the thousands digit of w?
2
What is the units digit of (-1)/(-9)*-2 + 2812800/2160?
2
Let u(w) = w + 4. Let j(v) = -4*v**3 + 2*v**2 - v. Let k be j(1). Let n be u(k). What is the tens digit of 0 - -5*(2 + n)?
1
Let o(r) = -3*r**2 - 8*r + 1. Let v(c) = 6*c**2 + 15*c - 2. Let s(z) = 11*o(z) + 6*v(z). Let y be s(1). Suppose -40 = y*u - 8*u. What is the tens digit of u?
1
Let c(w) = w**2 + 7*w - 6. Let a be c(-6). Let t be 84/6 - a/(-3). Suppose -k + 3*y + 53 = 0, -5*y + t = -0. What is the tens digit of k?
5
Let i = -26 - -30. Suppose -i*u = 2*f - 414, -3*u = -2*f - 3*f - 278. What is the hundreds digit of u?
1
Suppose x + x = 6. What is the units digit of 88 - x - 3 - 0?
2
Suppose -3*q + q - 6 = -4*w, 5*w - 20 = 0. Suppose 0 = r + q, c + c + 3*r = 59. What is the tens digit of c?
3
Let d be (22/33)/(2/(-6)). Let v be (-35)/(-14) - d/4. Suppose 2*t - 3*t = 3, 3*t = v*u - 54. What is the units digit of u?
5
Let s(x) = -2*x**3 - 5*x**2 - x + 1. Let o be (4/10)/(3/(-90)). Let p be (o + 7)*4/5. What is the units digit of s(p)?
3
What is the tens digit of (-35 + -25)*3/((-3)/10)?
0
Suppose 5*k - 5*u - 10 = 0, 0 = 3*k - k - u - 6. Suppose -441 = l - k*l. What is the units digit of l?
7
Let p(v) = -34 - 3*v + 27 + 13*v + 3*v - v**2. Let w = -4 - -15. What is the units digit of p(w)?
5
Suppose -28*u + 64206 = 13*u. What is the units digit of u?
6
Suppose x + 3*q - 3 - 9 = 0, 0 = 4*x + 4*q - 32. Let f = 7 - x. What is the units digit of (-30 - f)/(-2 + 1)?
1
Let k be 135/(-2) - 3/(-2). Let h = 113 - k. What is the hundreds digit of h?
1
Let b(n) be the second derivative of -11*n**5/20 - n**4/4 + n**3/2 + 2*n**2 - 44*n. What is the hundreds digit of b(-3)?
2
Suppose 0*y = -5*y. Suppose y*c = -2*c + 38. What is the tens digit of c?
1
Suppose 0 = u - 5*u. Suppose -r - l = u, 0 = 3*r - 5*l + 2*l - 12. Suppose r*q - 160 = -3*q. What is the units digit of q?
2
Suppose 0*n = 4*n - 5*z - 572, -158 = -n + 5*z. Let s = 282 - n. What is the tens digit of s?
4
Let p = -19 - -23. Suppose -2*h - 33 = -v, -4*v + h + p*h = -135. What is the units digit of v?
5
Suppose 0*u - 5*u = -8860. What is the tens digit of u?
7
Suppose -q + 2 - 9 = 0. Let s(a) = 4*a**2 - 7*a - 15. What is the units digit of s(q)?
0
Let m(h) = -h**3 - 7*h**2 + 7*h + 1. Suppose g + 7 = -1. Let d be m(g). Let o = 20 - d. What is the units digit of o?
1
Let c = -31 + 19. Suppose 0 = o - 23 + 1. Let n = c + o. What is the tens digit of n?
1
What is the thousands digit of 1082908/776 + (0 - (-2)/4)?
1
Let i be (-2*(0 - -1))/(-1). Suppose 0 = -k - i*b + 13, -24 = -2*k - k - 3*b. What is the units digit of (0 - (k + -5)) + 29?
1
Let l(r) = -3*r + 3. Let h be l(3). What is the units digit of h/5*-5*63/6?
3
Suppose -2*p = -3*y - 3269, -p + 1617 = 7*y - 5*y. What is the thousands digit of p?
1
Suppose 3*t + 76 = 4*a, -17 = 3*a + 5*t - 74. Suppose a = 3*g - 8. Suppose p + 5 = 0, -y + 3*p = -3*y + g. What is the units digit of y?
2
Let o be (4 - 1)/((-24)/16). Let m = -51 + o. Let c = m + 75. What is the units digit of c?
2
Suppose 349 = 5*s - 246. What is the tens digit of (s/28)/(1/20)?
8
Suppose 0 = -3*o - 3*y + 1572, 2*o - 3*y + 1051 = 4*o. What is the units digit of o?
1
Suppose -4*m - 31 = -5*f - 1, 3*m = -15. Let c = -7 + f. Let n(r) = -4*r - 1. What is the units digit of n(c)?
9
Let y(k) = -2*k + 1 + 22*k + 0 - 9*k. What is the units digit of y(11)?
2
Let d = 46 + -46. Suppose d = -2*m + 6*m + 8, 0 = -2*l - 3*m + 248. What is the units digit of l?
7
Suppose 4*v + 40*j - 35*j - 5835 = 0, -5*v = -2*j - 7302. What is the thousands digit of v?
1
Let t =