9
Let i(q) = q**3 - 4*q**2 - 5*q - 9. What is the units digit of i(7)?
3
Suppose 4*v = 7 - 27. Let s = v + 49. What is the tens digit of s?
4
Let j be (1 + -1)*1 - 0. Let s be 2 - ((1 - -2) + j). What is the units digit of s*3*4/(-4)?
3
Suppose 3*k - 4*k = -1, 0 = z - 2*k - 2. Let g(q) = 20*q**2 - 6. What is the units digit of g(z)?
4
Suppose -15*h - 356 = -17*h. What is the tens digit of h?
7
Let l(s) = -s**3 - 3*s**2 + 2*s + 685. What is the units digit of l(0)?
5
Let k(v) = v**2 - v + 531. Let c be k(0). Suppose 0 = 4*r + 3*p - 2*p - c, r - 3*p - 136 = 0. What is the units digit of r?
3
Let p(y) = 4*y + 29. What is the hundreds digit of p(24)?
1
What is the units digit of 4/38 + (-90954)/(-171) + 5?
7
Let s(v) = v**3 - 2*v**2 - 2*v - 7. Let r be s(3). Let j(q) = q**3 + 4*q**2 - 3*q. What is the units digit of j(r)?
2
Suppose 0 = -2*s - 5*q - 135, s + q = 2*q - 50. Let b = 7 - s. What is the units digit of b?
2
Suppose -9*g + 141 - 105 = 0. Let u(h) = -h + 5. Let r be u(0). Suppose r*p = -3*w + 14, -4*w - g*p + p = -26. What is the units digit of w?
8
Suppose -736*u + 2656 = -732*u. What is the tens digit of u?
6
Let a(d) = d**2 - 3*d - 4. Let n(g) = -g**3 + 5*g**2 + 5*g + 1. Let x be n(5). Let r = x + -16. What is the units digit of a(r)?
6
Let m(u) = u**3 - 14*u**2 + 18*u - 7. Let a be m(13). Suppose -j = s - a, 3*j = s + 4*s - 250. What is the units digit of s?
3
Let a(w) = -w**2 - 6*w + 13. Let k be a(-7). Suppose 0 = -i - i + k. Suppose 5*n - 112 = n + 4*v, 0 = -i*n + 5*v + 76. What is the units digit of n?
2
Let v(u) = 6 - 8*u - 10 - 5. What is the tens digit of v(-6)?
3
Suppose -5*z + 2022 + 873 = 0. What is the units digit of z?
9
Let i(z) = z**3 - 5*z**2 - z + 3. Let j be i(7). Suppose -4*k + j = -94. What is the tens digit of k?
4
Let c = 42 - 38. Let b = -29 - -8. What is the units digit of (14/b)/(c/(-18))?
3
Suppose 3*r - 4 = 2. What is the units digit of 77 - ((-5 - -2) + r)?
8
Let x(a) = 14*a - 1. Let s be x(1). Suppose -s = -5*i - 3. Suppose -33 = -i*o - o. What is the tens digit of o?
1
Suppose -2*x = -5*a - 1867, 5*x + 45*a - 49*a = 4642. What is the hundreds digit of x?
9
Suppose 0 = 4*o - 3*o - 2. Suppose -o*l - l = -3*n + 48, 5*n + 5*l = 100. What is the tens digit of n?
1
Suppose -9*t + 6*t + 363 = 4*f, t - 3*f = 134. Let r = -77 + t. What is the tens digit of r?
4
Let n(f) = -23*f - f**2 + 5*f - 10 - 8 + f. What is the tens digit of n(-12)?
4
Let o be 2*-1 - (6 + -25). Let a be 2/6 + o/3. Suppose 0 = b - 58 + a. What is the units digit of b?
2
Suppose -3*u - 2155 = -5*p, 21*p - 19*p - 2*u = 866. What is the units digit of p?
8
Let g(i) = 11*i - 14. Suppose 16 = 3*p - z - 7, 44 = 4*p - 4*z. What is the units digit of g(p)?
2
Let c(b) = -b**3 + 4*b**2 - 6*b + 6. Let y be c(2). Let i(a) = 80*a - 6. What is the hundreds digit of i(y)?
1
Let s be (-13)/(-3) + 3*(-5)/45. Suppose 782 = s*d + 38. What is the units digit of d?
6
Let u = -46 - -46. Suppose u = 4*i - 3*v - 425 + 119, 0 = i + v - 73. What is the tens digit of i?
7
Let v(g) = -g**3 - 5*g - 5. Let k(j) = j**3 - 14*j**2 - 16*j + 10. Let w be k(15). What is the units digit of v(w)?
5
Let p be (-1792)/6 + 15/9 + -2. Let v = 418 + p. What is the hundreds digit of v?
1
Let u(m) = -m**3 + 11*m**2 - m + 15. Let g be u(11). Suppose n + q = -g*n + 10, 5*n = -4*q - 5. Suppose -265 = -n*x - 2*x. What is the tens digit of x?
5
Let i be (-2)/8 + 414/24. Suppose 18*a - i*a - 126 = 0. Suppose 2*d = -3*j + a, 99 = 5*j - d - 111. What is the tens digit of j?
4
Suppose -n = 29 - 751. What is the units digit of n?
2
Suppose -3*o = -w + 57, -4*w - 5*o = -o - 164. Let l(f) = 6*f + 27. Let a be l(8). Let t = a - w. What is the units digit of t?
0
Let g = 25 - 38. Let b = 33 - 13. Let u = g + b. What is the units digit of u?
7
Let r(o) = 2*o + 4. Let y(b) = b + 1. Let z(x) = r(x) + 2*y(x). Let v be z(-6). What is the units digit of 5/(-30) - 705/v?
9
Let j be (-3 - -2)*(-9 - (-3)/(-1)). Suppose -j*z = -4*z - 240. What is the units digit of z?
0
Let k(c) = -c + 3. Let h be k(-8). Let b = h - 9. Suppose 113 = 5*l - b. What is the tens digit of l?
2
Let p be 6*(-4)/(-12) - 2. Suppose 4*q - 2*o = -192, -3*q + p*o - 134 = -4*o. Let w = -25 - q. What is the units digit of w?
5
Suppose 5 = -2*l + 7. Suppose -2*b + 5*b - 9 = -3*n, -2*b - 3*n + l = 0. Suppose -b*i + 265 = -3*i. What is the tens digit of i?
5
Suppose -8*k + 204 = 2*l - 4*k, 0 = l + 3*k - 99. Let h = -20 + l. What is the tens digit of h?
8
Suppose 0 = -j + 5*t + 358, 0*j - j = -4*t - 358. What is the units digit of j?
8
Suppose 0 = -6*n - 14*n + 1940. What is the tens digit of n?
9
Suppose 0 = -u + 3*x + 2*x + 3, -2*u - 2*x = -6. Let g(c) = c - 3. Let n be g(u). Suppose -2*r + n*r = -46. What is the units digit of r?
3
Let t = -11 + 15. Suppose -11 = t*i - 31. Suppose 0 = -o + i + 23. What is the tens digit of o?
2
Suppose f - 2*f + 1 = -3*p, 3*f + 5 = 5*p. Let y(c) = -c**3 + 4*c + 3. Let v be y(p). What is the units digit of 782/12 + v/(-18)?
5
Suppose 0 = -5*o, 0*d + 2*d - 86 = -2*o. Suppose -5*u + 4*n + 59 = 0, 4*u + 0*n = -n + d. Suppose -3*h + 13 + u = 0. What is the units digit of h?
8
Let d(q) be the third derivative of -1/12*q**4 - 1/15*q**5 - 1/24*q**6 + 5*q**2 + 1/6*q**3 + 0*q + 0. What is the tens digit of d(-2)?
2
Suppose -9*v = 4*v - 3055. What is the units digit of v?
5
Let w(f) be the second derivative of 1/6*f**3 - 8*f + f**2 + 0. What is the units digit of w(-1)?
1
Let u = 1 + 2. Suppose -386*i = -375*i - 2123. Suppose 0*j + c = u*j - 135, -4*j - 3*c = -i. What is the tens digit of j?
4
What is the hundreds digit of 27/27*(-1 + 648)?
6
Let p(m) = -m**2 - 4*m + 6. Let d(o) = 1. Let n(v) = -d(v) + p(v). Let u be n(-5). What is the tens digit of (u + -20)*11/(-22)?
1
Suppose -3*w + 246 = 3*p, -p - 3*w - 252 = -4*p. Suppose -54 - p = -2*l + 5*u, -3*l = u - 163. What is the tens digit of l?
5
Let y be (-26)/13*(-1 + 0). Let x(k) = 31*k - 3. What is the units digit of x(y)?
9
Let q(b) = b + 13. Let n be q(-8). Suppose -5 = 5*t, 2*c + 0*c = -n*t + 61. What is the tens digit of c?
3
Suppose -3*x + 11 = -1. Suppose x*n = -12, -3*n + 19 = -4*b - 4*n. What is the tens digit of 24/b*-3 - 4?
1
Let q = -7318 - -10785. What is the hundreds digit of q?
4
Let r(w) = -w**2 + 4*w + 8. Let u be r(8). Let z = u - -42. Suppose 3*a = a + z. What is the units digit of a?
9
Let i(x) = 13*x**2 + 2*x. Let s(q) = 2*q + 21. Suppose -3*t = w + 19, 2*w - 5 = -2*t - 31. Let y be s(w). What is the tens digit of i(y)?
1
Let c = -1570 + 2510. What is the hundreds digit of c?
9
Suppose 58*q = 7*q + 66198. What is the hundreds digit of q?
2
Let a = 2980 + -1235. What is the hundreds digit of a?
7
Let d = 71 - 44. Let g = -8 - 1. Let t = d + g. What is the tens digit of t?
1
Let l = -1447 + 2522. What is the units digit of l?
5
Suppose -2*p = f - 458, -2*f = -0*f - p - 901. Suppose 0 = -8*m + 124 + f. What is the units digit of m?
2
Suppose -2*w + 6*w - 248 = 0. Let s(a) = -a**3 + 7*a**2 - 2*a - 9. Let h be s(7). Let o = w + h. What is the units digit of o?
9
Let y(c) be the third derivative of c**6/40 + 2*c**5/5 + c**4/8 + 3*c**3/2 - 27*c**2. What is the tens digit of y(-7)?
3
Let t(z) = 383*z + 49. What is the units digit of t(3)?
8
Suppose -30*q = 2*q - 101376. What is the thousands digit of q?
3
Suppose 0 = -5*j - 4 + 4. Suppose 2*v + j - 18 = 0. What is the units digit of v?
9
Let q be 9*(-4)/(-30)*5. Let s be 0/q + 26/(-1). Let g = s - -100. What is the tens digit of g?
7
Let r(v) = -13 + 0*v**3 - v**3 - v + 0*v + 2*v + 18*v**2. Let p be r(18). Suppose -p*x + 221 = 11. What is the units digit of x?
2
Let j be (3/(-12))/((-2)/16). Suppose -a + j = -0*a. Suppose -15 = -a*f - f. What is the units digit of f?
5
Let h(q) = q**2 - 6*q - 2. Let s be h(7). Suppose 3*a + a + 392 = s*f, 5*a = 10. What is the tens digit of f?
8
Let h = 1438 + -519. What is the hundreds digit of h?
9
Let q = -8 - -17. What is the tens digit of 583/q - (-6)/27?
6
Let d(u) = u**3 - 15*u**2 + 16*u + 6. Let s be d(9). What is the tens digit of (19/(-38))/(2/s)?
8
Let b be ((-1)/2)/(3*(-3)/(-522)). Let u = b - -78. What is the tens digit of u?
4
Let t be (-2)/(-12) - (-3)/(-18). Suppose t*i + 2*i = 40. Suppose 4*h - i = 52. What is the units digit of h?
8
Suppose -5*o - 4*b =