hat is the units digit of a?
9
Let r(b) = -b**3 + 31*b**2 + 54*b - 98. What is the thousands digit of r(31)?
1
Let o(q) = q - 7. Let f be o(10). Suppose 6*a = f*a + 3, -2*a = -3*k + 283. What is the units digit of k?
5
Suppose 7*a - 4*a + 149 = h, -a = 2*h - 263. What is the hundreds digit of h?
1
Suppose -7*p = 4*v - 3*p - 4, 0 = -3*p + 3. Suppose v = 4*r - 60 - 32. What is the units digit of r?
3
Let q(p) = -1 + 2 - 11*p + 8 + 12*p**2 + 2. What is the units digit of q(5)?
6
Suppose -4*n = -n - 4*o + 28, -3*n - o = 38. What is the tens digit of 4*(4 - 165/n)?
7
Let f be (-10 - -3)*(-4)/7. Let l(i) = 12*i. Let b be l(f). Suppose -3*z + 60 = -3*c + 6*c, 3*z = 3*c - b. What is the tens digit of c?
1
Let i = -19 - -13. Let o be i/(-15) - (-10)/(-25). Suppose 4*k = y - 1 - 8, -y - k + 29 = o. What is the units digit of y?
5
Let c(v) = -131*v**2 + 5*v - 7. Let z(f) = 130*f**2 - 5*f + 6. Let k(t) = 2*c(t) + 3*z(t). What is the units digit of k(1)?
7
Let r(m) be the third derivative of 3*m**2 + 19/24*m**4 + 0 + 0*m - 5/3*m**3. What is the units digit of r(3)?
7
Let q be 3 + (1 - (1 - 0)). Let v be q/3*0/3. Suppose v = m + 2 - 7. What is the units digit of m?
5
Let f be -43 - (-4)/16*-4. Let b be ((-297)/f)/((-3)/40). What is the units digit of b/(-4) + 1/(-2)?
2
What is the tens digit of (-28)/6*18/(-6)*47?
5
Let h = 56 + -52. What is the hundreds digit of (h - 1)/(-1) - -195?
1
Let u = 21 - -503. What is the units digit of u?
4
Suppose 0*g = -2*l - 3*g + 967, 5*l - 2409 = g. What is the units digit of l?
2
Let h(q) = 3*q**2 - 6*q - 159. What is the tens digit of h(25)?
6
Suppose -3*j + 119*x + 19340 = 117*x, -5*x = 2*j - 12925. What is the thousands digit of j?
6
Let y(j) = -382*j - 93. What is the units digit of y(-2)?
1
What is the hundreds digit of -8 - ((-56)/(-8) + -476)?
4
Let r(g) = 11*g**2 - 51*g - 26. Let k be -14 - (-3 - 1)/4. Let p(h) = -5*h**2 + 25*h + 13. Let n(d) = k*p(d) - 6*r(d). What is the tens digit of n(-15)?
4
Let u(z) be the second derivative of z**6/60 + z**5/60 - z**3/6 - 3*z**2/2 - 4*z. Let p(y) be the first derivative of u(y). What is the units digit of p(2)?
9
Let b be 1 + 1 + (-26)/(-1) + 4. Suppose 310 = b*w - 27*w. What is the units digit of w?
2
Let w = -2 - -7. Let d(a) = -a. Let y(b) = b**2 - 6*b + 2. Let u(i) = -6*d(i) + 2*y(i). What is the units digit of u(w)?
4
Let y = 235 + -150. What is the units digit of y?
5
Let h be 34/4 - 1/2. Let m(v) = -13*v + 3*v - v**3 + 7 - 19*v**2 + 29*v**2. What is the tens digit of m(h)?
5
Suppose 9*p - 4*p = 15. What is the units digit of (-3)/p*-1 - -38?
9
Suppose -5*q = -10, -5*d + 0*d + 4438 = -q. What is the units digit of d?
8
Suppose 10*c - 17*c + 3094 = 0. What is the hundreds digit of c?
4
Let o = -16 + 42. Suppose 0 = 22*u - o*u + 188. What is the tens digit of u?
4
Let f(x) = -x**2 - x + 5. Let l be f(0). Suppose 2*r + 177 = l*r. What is the units digit of r?
9
Let c be (-12)/(-54) + (-1776)/(-27). Suppose c = 4*i - 134. Suppose -i = -3*h - f + 76, 0 = -4*f - 12. What is the tens digit of h?
4
Let w be (223/2)/(1/4). Suppose -5*h + g + 448 = 0, h - 2*g = -4*h + w. Let j = h - 43. What is the units digit of j?
7
Suppose 0 = -3*z - 7 + 16. Suppose -z = 3*p, 5*p - 1 = -r - 7. What is the units digit of 0 - r/(1/18)?
8
Let l(v) = 5*v**2 + 3*v - 139. What is the tens digit of l(-12)?
4
Let s(x) = x**3 - 8*x**2 - 6*x - 24. Let u be s(9). What is the units digit of 3 - -5 - u - -75?
0
Let b(m) = 6*m**2 - 2*m + 14. What is the tens digit of b(6)?
1
Let v be (-8)/(-6) + (-1)/3. Suppose -p - v = -4*m, -m - 4*m = p - 17. Let u = p - -7. What is the tens digit of u?
1
Suppose 2*g - 14 = 2. Suppose w - g - 4 = 0. Let i = 19 - w. What is the units digit of i?
7
Let r = 28 + -24. What is the tens digit of 31*r/(8 + -4)?
3
Suppose -3*l + 5*z = -384 - 6, -120 = -l + 5*z. Suppose 4*v - 301 = l. Suppose 0 = 5*o - q - v, q + 2*q - 3 = 0. What is the tens digit of o?
2
Suppose -2*f + 10 = -3*r, -2*f = -9 - 1. Suppose r = 12*y - 18*y + 1008. What is the hundreds digit of y?
1
Suppose -94 = -5*z + 2*d, 0 = 3*z - d - 0*d - 56. Let w(x) = 3*x + 10. What is the tens digit of w(z)?
6
Suppose 5*x - 3602 = 178. What is the units digit of x?
6
Let k = 9 + -5. Suppose k*c - 168 = 4*w, 6*c = -3*w + c - 150. Let s = w - -82. What is the units digit of s?
7
Let b = -25 + 31. Suppose s + 5 = 0, -2*j = -b*j - 2*s + 10. What is the units digit of j?
5
Let m(i) = i**2 + 4*i + 4. Let h be m(-4). Suppose -v = h*b + 8 - 29, 6 = -b + 2*v. What is the units digit of 11*(7 + -2) - b?
1
Let v = -30 + 68. What is the units digit of v?
8
Suppose 5*n - 3*p = -80, -4*n - 5*p - 64 = 37. Let q(w) = w**2 + 7*w - 17. What is the tens digit of q(n)?
1
Let v(i) = i**3 - 3*i**2 - 4*i. Let m(r) = r**2 - 6*r + 5. Let n be m(4). Let d be v(n). What is the units digit of (-3 + 2 + d)*-1?
3
Suppose m - 102 - 406 = 0. What is the tens digit of m?
0
Suppose 2*f = 10, 5*p + 9 - 69 = -5*f. Let t = -94 - -95. What is the tens digit of (t/3)/(p/1113)?
5
Let u(r) be the third derivative of -r**5/60 - r**4/2 - 2*r**3/3 - r**2. Suppose 4*o = -4*k + 2*o - 46, 3*k + 5*o + 38 = 0. What is the units digit of u(k)?
7
Let a(v) = 116 + 3*v + 3*v**2 - v - 4*v - 122. What is the units digit of a(4)?
4
Let x(n) = -5*n**2 + 6*n**3 - 3 - 7*n**3 + 0*n - 2*n. What is the units digit of x(-6)?
5
Let t(h) be the third derivative of 3*h**5/20 - h**4/12 - h**3/3 - 11*h**2. What is the units digit of t(-1)?
9
Let v = 2 + 2. Suppose 3*i - 170 = -v*d, 0*i + 4*d = -i + 54. What is the tens digit of i?
5
Suppose 0 = -8*d + 11*d - 450. Let y = d + -90. What is the units digit of y?
0
What is the tens digit of 4/(-16) - (-1)/(4/1929)?
8
Suppose -p = -0*p - 8. Suppose 2*m = -2 - p. What is the units digit of (m/(-2))/(12/120)?
5
Let y(i) = -2547*i - 92. What is the thousands digit of y(-2)?
5
Let t = 461 - 383. What is the tens digit of t?
7
Suppose -1 = -6*z + 7*z. Let s be z/5 - 2/(-10). Suppose 4*y - 164 = -3*v, 182 = 5*y - s*v - 2*v. What is the units digit of y?
8
Let o be (2 - 7) + 3/3. Let t be (-4)/(1*o)*1. Let j = 12 - t. What is the units digit of j?
1
Suppose -4*l + 28 = l - 3*z, -2*z + 18 = 4*l. Suppose -l*h = -4 - 6. What is the units digit of (-2 + 1)/(h/(-16))?
8
Let t(l) = -2*l**2 + 12*l - 14. Let p be t(-6). Let n = 322 + p. What is the hundreds digit of n?
1
Let q = -21 - -18. Let m be 1 - 1 - q - 0. Let z(s) = 5*s**2 + s + 1. What is the units digit of z(m)?
9
Suppose 2*m + 234 = 728. Let d = -683 + m. What is the tens digit of d/(-8) - (-1)/2?
5
Let h be 2 - (20*-1)/2. Let s = h - 8. What is the units digit of s*(-4)/(-32)*34?
7
Let q = 139 + -91. Let v be (44/(-12))/((-2)/q). Suppose h + h - v = 0. What is the tens digit of h?
4
Let v = 149 - -162. Suppose -5*x + 1121 - v = 0. What is the units digit of x?
2
Let z = -22 - -20. Let n(d) = -26*d + 1. What is the units digit of n(z)?
3
Suppose 5*c + 2159 = 3*n, n + 3*c - 693 = -2*c. What is the hundreds digit of n?
7
Let v(z) = z**2 + 2*z - 3. Let n be v(-4). Let r = 0 + n. What is the units digit of (5 - (-4 + 2))*r?
5
What is the hundreds digit of ((-570)/(-7))/(4/140)?
8
Suppose 4*p = g + 29, 6*p - 2*p - 5*g = 17. Suppose -2*n = -4*n + 14. Suppose n*y - p = 3*y. What is the units digit of y?
2
Suppose -29772 = -276*z + 264*z. What is the tens digit of z?
8
Let a(r) = -230*r - 346. What is the tens digit of a(-10)?
5
Let n = 6 - 2. Suppose 4*u - n = -4*w, 3*u - 6 = -21. Let s(t) = 2*t - 1. What is the tens digit of s(w)?
1
Suppose 0 = -11*x + 1538 + 3764. What is the hundreds digit of x?
4
What is the units digit of (-47 + 15)*(-2 - -2 - 23)?
6
Suppose 20*n - 9*n = 77. What is the units digit of 6/2 - n*(4 - 45)?
0
What is the units digit of (156/(-30))/((-6)/2460)?
2
Let m = 47 + -39. Let l be 34/(-10) - 4/(-10). Let z = m - l. What is the tens digit of z?
1
Suppose 5 = -h, 0 = -f - 11*h + 9*h + 170. What is the hundreds digit of f?
1
Suppose -94 = -3*u + 11. What is the units digit of u?
5
Suppose -3*h + h + 4 = 0. Suppose -h*y - 20 = -8. Let l(d) = d**2 - d + 12. What is the units digit of l(y)?
4
Let u = -8 + 3. Let r be (u/(-1))/1 - 2. Suppose 4*c = 3*k + 61, r*c - 47 = k - 0*k. What is the tens digit of c?
1
Suppose 0 = -56*k + 55*k - 99. Let c = k - -141. What is the tens digit of c?
4