Suppose 3*v = -84 - 63. Let s = v - 16. Let y = -42 - s. What is the units digit of y?
3
Suppose 2*f = f - g + 67, -122 = -2*f + 4*g. Suppose 3*l + 5*w = -2*l + f, 15 = 3*l - 3*w. What is the units digit of l?
9
Let k = -27 + 33. Suppose -12*o = -k*o - 318. What is the tens digit of o?
5
Let l be -1 + 4 + -2 - -12. Suppose -i + l = -79. What is the tens digit of i?
9
Suppose 3*m = -5*q + 2855, -m + 4*q + 561 = -419. What is the tens digit of m?
6
Let k = -4116 + 6251. What is the thousands digit of k?
2
Let v = 58 - 71. Let q = 70 + v. What is the units digit of q?
7
Let g = 4352 + -772. What is the hundreds digit of g?
5
Let s(j) = -57*j**3 - j - 2. Suppose 0 = 6*a - 9 + 15. What is the tens digit of s(a)?
5
Let m(g) be the second derivative of 0 + 2/3*g**3 - 5*g + 0*g**2 - 1/12*g**4. What is the units digit of m(3)?
3
Let i(j) = 55*j**2 - 4*j - 4. Let k be i(-3). Suppose -6*x + k = -151. What is the hundreds digit of x?
1
Let t(v) = -v**3 - 5*v**2 + 6*v + 4. Suppose -5*f - 33 = 2*r, f + 10 + 2 = 5*r. What is the units digit of t(f)?
0
What is the hundreds digit of ((-2)/3)/((-11)/(14454/4))?
2
Let p(n) be the third derivative of n**5/20 + n**4/3 - 2*n**3/3 + 4*n**2. What is the units digit of p(3)?
7
Let a(k) = -10*k**2 - 121*k - 13. What is the hundreds digit of a(-9)?
2
Let y = 5 + -5. Suppose y = 4*i - 23 - 5. Suppose 3*q - i*q + 76 = 0. What is the units digit of q?
9
Let v be (-12)/(-4) + 0 + -2. Let m(k) = 59*k**2 + 2*k. What is the units digit of m(v)?
1
Let g(x) = 129*x**3 + 6*x**2 - 7*x - 6. What is the hundreds digit of g(3)?
5
Suppose g + 426 = j, 19*g + 12 = 16*g. What is the hundreds digit of j?
4
Suppose 5*x - d = 5073, 4*x - 16*d - 4062 = -17*d. What is the thousands digit of x?
1
Let y(t) = t**3 - 25*t**2 - 22*t + 36. What is the tens digit of y(27)?
0
Suppose -f = -5, -s + 3*f = -2*f - 190. What is the tens digit of s?
1
Let u be (-14)/91 + (-4216)/(-26). Let h = 234 - u. What is the tens digit of h?
7
Suppose -3*l - 16 = c - 0, -24 = 2*c + 2*l. Let u be c/25 - (-37)/5. Let s(n) = 7*n - 9. What is the units digit of s(u)?
0
Suppose 66*q - 62*q = 560. What is the hundreds digit of q?
1
Let p be 2 + -1 - 14/(-1). Suppose -2*z - 5 = -6*h + 3*h, -3*h = -p. Suppose -3*i = -3*s + 66, -z*s - 5*i + 165 = 15. What is the tens digit of s?
2
Let w(i) = -i**2 - 10*i - 11. Let r be w(-9). What is the hundreds digit of (28 - (-3)/(5 + r))*4?
1
Let g(l) = l**2 - l - 1. Let w(k) = k**3 - 2*k**2 - 14*k + 9. Let m(x) = -3*g(x) + w(x). What is the units digit of m(8)?
6
Suppose -4*d - 2*o - 9 + 25 = 0, 0 = d - 4*o - 4. Suppose 5*x = -5*f + 945, -5*f + 21 = -x - 900. Suppose -d*u = u - f. What is the tens digit of u?
3
Suppose 4*a = -3*b + 10858, 17*b = 14*b + 3*a + 10893. What is the hundreds digit of b?
6
Let n(o) = o**3 + 14*o**2 - 5*o + 2. What is the hundreds digit of n(-8)?
4
Suppose 2*x + 27 = -13. Let i = 170 + -169. What is the units digit of ((-5)/(x/96))/i?
4
Suppose -3*m = m - 16. Suppose 3*n - 5*x - 325 = 0, x - 426 = -m*n + 4*x. What is the hundreds digit of n?
1
Let m be (8130/8 - (-5)/(-20)) + 0. Suppose l - 96 - 106 = -k, 2*k - m = -5*l. What is the hundreds digit of l?
2
Let b be (5 + (-4)/1)/(-1). What is the tens digit of b - (63/(-12))/7*88?
6
Suppose 2*n = 745 - 25. Suppose -3*b - n = -3*m - 126, 2*m = -2*b + 136. What is the units digit of m?
3
Suppose 0 = -3*n - 6*c + 3*c + 9441, 5*c + 12633 = 4*n. What is the units digit of n/72 + 4/18?
4
Let l(z) be the first derivative of -1/3*z**3 - 3 + 9/2*z**2 - 8*z. What is the tens digit of l(5)?
1
Let i(r) = 189 + 7*r**2 - 97 - 97 - 9*r. What is the tens digit of i(5)?
2
Suppose 10*u - 1846 = 6*u + 3*t, 3*u - 3*t = 1383. What is the tens digit of u?
6
Suppose -3*s + 3*o - 3 = 0, s - 3*o = -4*s - 1. Let i(d) = 10*d**3. What is the tens digit of i(s)?
1
Let h(t) be the second derivative of 4*t**3/3 - 10*t**2 + 6*t. What is the tens digit of h(4)?
1
Let n(a) be the second derivative of -a**3/6 + 55*a**2/2 + 9*a. What is the units digit of n(0)?
5
Suppose -14*i - 1496 = -22*i. What is the units digit of i?
7
Suppose 0 = -0*a + a - 1, -2*i + 34 = 4*a. Suppose i*y - 144 = 12*y. Suppose -d = 2*d - y. What is the tens digit of d?
1
Suppose 10*s - 10 = -0*s. What is the tens digit of (-5 + (-489)/15)/(s/(-5))?
8
Let r = -1368 + 2459. What is the hundreds digit of r?
0
Let s(y) = -14*y - 14. Let c be s(-3). Let f(v) = 2*v - 5. Let w be f(-4). Let q = c + w. What is the tens digit of q?
1
Suppose 0 = 5*f - 6*f + 4. Suppose 2*g - f = -2*g. What is the units digit of g + (-1)/(-1) + 5?
7
Let t be (34/(-4))/((-6)/(-12)). Let q be (t/(-2))/(1/10). Suppose -6*i = -i - q. What is the tens digit of i?
1
Suppose -v + 3*j + 1707 = 0, -3*v - v + 3*j = -6783. What is the hundreds digit of v?
6
Suppose 6*z - z - 25 = 0. Suppose -3*i + 65 - 44 = 0. Suppose -z*r + 173 = -i. What is the units digit of r?
6
Let c(x) = x + 6. Let u = 3 + -5. Let v(n) = n**3 + 6*n**2 + 3*n. Let z be v(u). What is the units digit of c(z)?
6
What is the tens digit of 3/(-4)*259020/(-135)?
3
Let o be (1*-11)/(8/72). Let t = -21 - o. Suppose g = -g - 4*r + t, 92 = 3*g + r. What is the units digit of g?
9
Suppose 4*m - 2 = 3*m, 5*v = -5*m + 10. Let o be 4 - (2 + 1*-3). Suppose o*k - 6*k + 20 = v. What is the tens digit of k?
2
Let x(y) = y**3 + 1 - 2*y + 2*y**2 - 2*y**3 + 3*y**2. Let a be x(4). Let m = a - -5. What is the tens digit of m?
1
Suppose -31*z = -20*z - 40656. What is the tens digit of z?
9
Let n be (6/(-2))/(3/(-8)). Let g = n + -17. What is the units digit of (-142)/(-4) + g/18?
5
Let l(p) = -p**3 + 2*p**2 - p - 1. Let f(x) = -x**3 + x**2. Let d(n) = 3*f(n) - l(n). Suppose 0 = j + 1, 5*j = m - 3. What is the units digit of d(m)?
9
Suppose 36 = -2*w + 26. What is the units digit of -4*((-46)/8 + w)?
3
Suppose 2*n = -4*n + 174. Let f = n - -267. What is the units digit of f?
6
Let o = 35 + -32. Let u = 0 - o. What is the tens digit of 0 + 74*(-3)/u?
7
What is the units digit of -4 + (-180)/(-46) - 49776/(-46)?
2
What is the tens digit of ((-2402)/14)/((-1)/(-7 - -14))?
0
Let r(w) = 10*w - 4. Let j be r(1). Suppose -t = j*t - 42. Let k = t + 19. What is the units digit of k?
5
Let l(q) = 40*q**2 + 11*q + 29. What is the tens digit of l(-5)?
7
Let d(b) be the first derivative of -b**2/2 + 13*b + 4. What is the tens digit of d(-13)?
2
Suppose 91*g - 94*g + 60 = 0. Suppose -o - 217 = -6*o + 2*f, 5*f - g = 0. What is the units digit of o?
5
Let i = 232 - -96. Suppose 2*h - i = 4*h. Let p = -103 - h. What is the tens digit of p?
6
Let i = -41 + 43. Suppose 3*l - 247 = -2*p, -l + 27 = i*p - 222. What is the hundreds digit of p?
1
What is the hundreds digit of (10064/12)/(20/90)?
7
Suppose -2*b - 109 = -35. Let t = 156 + b. What is the tens digit of t?
1
Let b = 48 - 44. Let v(u) = u**3 - 6*u**2 - 7*u + 2. Let c be v(7). Suppose d = -w - b*d + 21, c*w - d - 53 = 0. What is the units digit of w?
6
Let u(k) = 2 + k**3 + 3*k**3 + 4*k - k**2 - 3*k**3 - 6*k. Let b be u(0). Suppose -h = -2*r + 68, b*r - 2*h = 5*r - 109. What is the units digit of r?
5
Suppose 2*m = -p + 67, 0 = 3*m + 3*p - 34 - 74. What is the tens digit of m?
3
Let y = 972 - 319. What is the hundreds digit of y?
6
Suppose -17*d = 1 - 1. Suppose -2*f + 48 = -d*f + 5*p, -f - 4*p + 18 = 0. What is the tens digit of f?
3
Let t = -476 - -897. What is the hundreds digit of t?
4
Suppose -3*c + 545 = s, 0 = 29*s - 27*s + 5*c - 1087. What is the tens digit of s?
3
Let p = -519 - -894. What is the tens digit of p?
7
Let f(b) = -b**3 + 2 + b + 2*b**2 - 17 + 9. What is the tens digit of f(-4)?
8
Let x = -1616 + 2368. What is the hundreds digit of x?
7
Let w = 74 - 146. Let b = -25 - w. Let l = 21 + b. What is the tens digit of l?
6
Let z(q) = q. Let k be z(-3). Let r be ((-2)/k)/(4/(-6)). What is the units digit of r/(-2) - 55/(-10)?
6
Suppose 58 = 4*k + t - 27, -t = -k + 20. Suppose 0 = h - k - 46. What is the tens digit of h?
6
Let l be 3 - 0 - (4 - 6). Let p(a) = 4*a**2 - 2*a + 1. Let c(t) = 9*t**2 - 4*t + 1. Let f(s) = l*p(s) - 2*c(s). What is the tens digit of f(3)?
1
Suppose 156 = 4*h + 16. What is the tens digit of (-912)/(-15) + 7/h?
6
Let k = 0 - -3. Let h be (8/(-6))/((-2)/k). Suppose h*b + 7*b = 378. What is the units digit of b?
2
Let a = 60 - 24. Let g = a -