4*f - 49, d*f = 3*y + 4*f + 32. Let s = y - -20. What is the units digit of s?
1
Let t(v) = 9*v**2 - 7*v - 69. What is the tens digit of t(-9)?
2
Let a = 162 + 30. What is the hundreds digit of a?
1
Suppose 7*l + 2*n - 6730 = 2*l, 0 = -3*n - 15. What is the hundreds digit of l?
3
Suppose -10*p + 2637 + 11813 = 0. What is the hundreds digit of p?
4
Let p(n) = 4*n - 1. Let y be p(2). Suppose 2*b + 0*b = -3*c + y, -b + 3*c + 8 = 0. Suppose d + 3*t = 5*d - 93, -4*t + 155 = b*d. What is the tens digit of d?
2
Let a(c) = -c**2 - 15*c - 9. Let q(f) = -f**2 + 12*f - 1. Let n be q(10). Let y = -32 + n. What is the units digit of a(y)?
7
Let w(q) = -21*q + 9. Let a be w(-7). Suppose 2*c + 7 = 15. Suppose c*y = y + a. What is the units digit of y?
2
Let p = -6 + 5. Let c be 483/(-9) + p/3. What is the units digit of c/(-10) + (-12)/(-20)?
6
Let b(f) = -f**3 + 9*f**2 - 10*f - 2. Let t be b(7). Let w = t - 66. Let r = 58 + w. What is the tens digit of r?
1
Suppose s - 17 - 610 = -3*q, -659 = -s + 5*q. What is the hundreds digit of s?
6
Suppose -4*x = 4, -3*b = 4*x - 1235 + 204. What is the hundreds digit of b?
3
Suppose 0 = -5*p + 4*p - 2*k + 1800, 0 = -5*p - 3*k + 8993. What is the tens digit of p?
9
Suppose 6*o = 8*o - 110. Let v = 68 - o. What is the units digit of v?
3
Suppose -2*t - 58 = -4*v - 0, -3*v - 2*t + 54 = 0. Suppose -4*n - 16 - v = -4*w, 0 = 3*n - 12. What is the tens digit of w?
1
Suppose 0*x + 2*x - 4 = 0. Suppose -4*b = -4*r + 28, -3*r - 1 = 2*b - x. Let g = b + 12. What is the units digit of g?
8
Let d be 4899/45 + (-6)/(-45). Let j = 300 - d. What is the tens digit of j?
9
Suppose -10*c = -7*c - 402. Suppose -12 = -4*q, 2*q = 2*v + 2 - c. What is the tens digit of v?
6
Let z(u) = u**2 - 3*u. Suppose -6*n + 5*x = -4*n + 1, -n - 2*x = -4. Let o be z(n). What is the units digit of (-51)/15*10/o?
7
Suppose -3*y = g - 6*y + 13, 0 = 5*g + 3*y - 25. Suppose 274 = -0*s + g*s. What is the tens digit of s?
3
Let t = -19 - -29. Let w be (-40)/(-6) - t/15. Let a(z) = -z**2 + 14*z + 6. What is the units digit of a(w)?
4
Let n(z) = z**2 - 10*z - 7. Let u be 2*(-1)/((-8)/52). Let a be n(u). Suppose 0 = -c + a + 15. What is the units digit of c?
7
Let n(c) = -12*c + 64. Suppose -s + 3*r = -r - 9, 16 = 3*s - r. What is the units digit of n(s)?
4
Let f(b) = 19*b**3 + 2*b**2 + 3*b - 29. What is the hundreds digit of f(3)?
5
Let k(f) = f**2 + 57. What is the units digit of k(-26)?
3
Let x = 248 + -160. Suppose -x - 78 = -3*t + q, -4*q + 20 = 0. What is the tens digit of t?
5
Suppose 0*p - 2*s - 34 = -4*p, 5*s = 3*p - 36. Let a(x) = -p + 0 - 3*x + 0*x + 1. What is the units digit of a(-11)?
7
Suppose -4*y - 2*b = -440, -2*b - 214 = -2*y - 0*y. What is the units digit of y?
9
Suppose -4*d + 2*u = -2386, d + 3*u - 977 = -384. What is the tens digit of d?
9
Let p(f) be the third derivative of f**6/120 - f**5/6 - 11*f**4/24 + 5*f**3/3 + 2*f**2. Let z be p(11). Suppose 44 = -8*x + z*x. What is the tens digit of x?
2
Let b(n) = 367*n + 70. What is the thousands digit of b(3)?
1
Suppose 1 = -3*h + 5*i, 0*i = 2*i + 2. Let p = -11 - -1. What is the units digit of (-2 + p)/(h/7)?
2
Suppose 3*p = 2*b + 4, 10 + 2 = -2*b + 5*p. Let m(y) = 2*y + 12. Let c be m(33). What is the units digit of b*2*c/24?
6
Let i(s) = -s - 1. Let p(z) = 25*z - 3. Let t(q) = 3*i(q) + p(q). What is the hundreds digit of t(8)?
1
Suppose -26*o + 20428 = 720. What is the units digit of o?
8
Suppose 2*i + 9 = 43. What is the units digit of i?
7
Let b(c) = -9*c - 4 + 4 - 49*c + 5. Let r be b(5). What is the tens digit of (-4)/3*r/38?
1
Suppose 112*u + 217 = 113*u. What is the tens digit of u?
1
Suppose -4*i = -2*o - 1422, i + 4*o - 187 = 164. What is the hundreds digit of i?
3
Suppose 17836 = -63*w + 77*w. What is the tens digit of w?
7
Suppose -15 = -2*g - p + 40, 157 = 5*g - 4*p. Let v = -23 + g. What is the units digit of v?
6
Suppose 5*k - 3*o - 9251 = 0, -3*o = 6*k - 2*k - 7390. What is the hundreds digit of k?
8
Let k(h) = 464*h + 19. What is the thousands digit of k(3)?
1
Suppose -2*m - 19 = -5*h, m = -h + 2*m + 5. Let b(q) = -11 - q**2 - 2*q**2 + 11*q**2 + 11*q - q**h. What is the units digit of b(9)?
7
Let g(p) = -p**2 + 19*p + 20. Let w be g(16). Suppose -w = -a - a. What is the units digit of a?
4
Let m = -15 + 28. What is the units digit of -4 + m - (1 - 0)?
8
Let a be -3*(-2 + (-20)/(-12)). Let f(c) = 55*c**2 - c + 2. Let u be f(a). Suppose -12*q + 10*q = -u. What is the units digit of q?
8
Suppose 14*x = 5*x + 6363. What is the tens digit of x?
0
Suppose 18*s + 262 = 19*s. Suppose -5*c + s = -193. What is the tens digit of c?
9
Let n(v) = -v + 11. Let j be n(10). Let h(p) = 4*p + 0 + 3*p - 46*p + j. What is the units digit of h(-1)?
0
Suppose 2*x + 297 = 3*u, 17 = u - 5*x - 82. What is the units digit of u?
9
Let m(f) = -f**2 - 5*f + 2. Let t be m(-5). Suppose 3 = -t*l + 1. Let o(a) = -6*a + 2. What is the units digit of o(l)?
8
Let h = 28 + -28. Suppose 0 = -j - h*j + 52. What is the tens digit of j?
5
Let l(u) = u + 9. Let i be l(-11). Let b be 1/((i/6)/(-1)). Suppose -b*j = -6*j + 78. What is the units digit of j?
6
What is the hundreds digit of -382*(-9)/6*1?
5
Let r(k) = 78*k + 25. Let h be r(6). Suppose 6*i - h = 1235. What is the tens digit of i?
8
What is the hundreds digit of (-6)/(-3)*1 + (607 - 6)?
6
What is the tens digit of (-7)/(-2) + (-3)/6 - -727?
3
Suppose 8*a - 21630 = -13*a. What is the thousands digit of a?
1
Suppose -4*k + 26 = 3*t, -3*k = -0*k - 15. Let p(n) = 3*n + 8. Let h be p(10). Suppose 0*r - v = -r + h, -3*r + 109 = -t*v. What is the tens digit of r?
3
Suppose 46*w = -2*d + 50*w + 1000, 0 = 2*d + 2*w - 1018. What is the tens digit of d?
0
Let g(x) = -x**2 + 9*x + 7. Let u be g(9). Let y be 2/7 - 2/u. Suppose 0 = -5*b - y*b + 105. What is the tens digit of b?
2
Let o(q) = -2*q**3 - 12*q**2 - 14*q + 25. Let i be o(-12). Suppose -5*h - w = -i + 761, 4*h = -5*w + 949. What is the tens digit of h?
3
Let a(q) = 6*q - 26. Let h(w) = 24*w - 105. Let n(r) = -22*a(r) + 6*h(r). What is the tens digit of n(10)?
6
Let u be -56*(5 + -4 - 2). What is the units digit of (25/(-10) - 5)/((-6)/u)?
0
Let p = -14 - -27. Suppose p*n = 14*n - 211. What is the tens digit of n?
1
Suppose 3*u - 2943 = -3*m, 3*u - 3337 - 1558 = -5*m. What is the tens digit of m?
7
Let d(z) = -z**2 - 11*z + 17. Let v be d(-8). Let w be (80/(-2))/2 + -1. Let t = v + w. What is the units digit of t?
0
Suppose -94 - 1 = -5*y. Let i(v) = v**3 - 9*v**2 - 6*v - 20. Let m be i(10). Suppose -r - y + m = 0. What is the units digit of r?
1
Suppose -4*c + 2 = -3*c. Let s(a) = 2 - 11 + 0 + 9*a**c - a + a**3 - 14*a. What is the tens digit of s(-10)?
4
Let v(g) = g**2 - 3*g + 3. Let o be v(2). Let l = 6 + o. What is the units digit of (-93)/(-7) + (-2)/l?
3
Suppose 3*o = -5*p + 2960, p + o - 516 = 74. What is the tens digit of p?
9
Let x = -12 - -15. Suppose 5*z - 3 = x*p, 8*z + 5*p = 4*z + 32. Suppose 5*b = 2*o - z*o + 1, -20 = -2*o - b. What is the tens digit of o?
1
Suppose 0*m - 3*m = -5*m. What is the units digit of m/6 - (-1 + -23 + -1)?
5
Suppose 3*p = v + 13, -5*v - 25 = -2*p + 7*p. Let f = v + 9. What is the units digit of f?
2
Let q(w) = 4*w**2 + 65*w + 58. What is the tens digit of q(19)?
3
Let g = -311 + 176. Let m = -41 - g. What is the tens digit of m?
9
Let c be ((-5)/4)/((-3)/12). Suppose -5*t - 20 = -c*s + 25, -s + 18 = -2*t. What is the units digit of (-9)/t - -3*2?
7
Let f(o) = o**2. Let j be ((2 - 5) + 1)*-1. Suppose 0 = 3*q + j*w + 3, 0 = -q + w + 2 + 2. What is the units digit of f(q)?
1
Let h(v) be the third derivative of -v**6/60 + v**4/24 + 2*v**2. What is the units digit of h(-1)?
1
Suppose 1294 = 11*h - 1225. What is the units digit of h?
9
Let y be (-3)/2*24/(-9). Suppose -5 - 11 = y*t. What is the units digit of (t/10)/(2/(-40))?
8
Suppose 4*c + 5*f - 159 = 0, -3*c - 2*f - f + 123 = 0. What is the tens digit of c?
4
Suppose -30*q + 75 = -29*q. Suppose -n - 67 = p, q = -p - 2*n + 7. Let i = 113 + p. What is the tens digit of i?
4
What is the hundreds digit of ((-1)/(-4))/(27/190404)?
7
Let a = -18 - -23. Suppose -4*w - w = -a*u - 200, 4*w + 5*u = 169. What is the units digit of w?
1
Let c(f) = -2 - 2 - 16 - 3*f**2 - 4*f - f**3. What is the tens digit of c(-6)?
1
Let v(k) = -k**2 - 