ts digit of z?
3
Let p(n) = n**3 - 9*n**2 + n - 7. Let q be p(9). Suppose 4 = q*i - 12. What is the units digit of i?
8
Suppose 0 = -4*i - 4*w, 4*i - 3*i + 9 = -4*w. Let p = i + 2. What is the units digit of p?
5
Suppose -4*y + o - 54 = -9*y, -60 = -4*y - 5*o. Let v(z) = z**2 - 6*z + 4. What is the tens digit of v(y)?
4
Suppose -3*h + 7*h - 16 = 0. Suppose -r = 1, h*y - 5*r - 80 = y. What is the units digit of y?
5
Let f(t) = -t**3 - 6*t**2 - 4. Let v be f(-6). Let r(l) be the first derivative of l**4/4 + l**3 - 3*l**2 - 2*l - 12. What is the units digit of r(v)?
6
Let c be 5/(3 + -2) - 2. Suppose 0 = 2*v + c*v - 145. What is the units digit of v?
9
Suppose -5*j + 131 = -0*j + 4*d, 0 = 3*j + 5*d - 76. What is the units digit of j?
7
Suppose 4*m = m + 12. Suppose m*q - 24 = q. What is the units digit of q?
8
Suppose 6*q = q - 75. Let m = -1 - q. What is the units digit of m?
4
Suppose -1 + 3 = 2*q. What is the units digit of q?
1
Suppose -2*d - 2*y = 3*y + 367, -d - y - 176 = 0. Let m be d/21 + (-4)/(-28). What is the units digit of (-9 - m) + 3*5?
4
Let s(i) = i - 4. Let z be s(-4). What is the units digit of (-2)/z + (-153)/(-12)?
3
Suppose 0 = -3*n + 3*o - 57, -5*n - 34 - 64 = -4*o. Let p = n - -34. What is the units digit of p?
2
Suppose 5 = -5*w, -7*k = -3*k + 4*w + 8. What is the units digit of (3 - 208)*k/5?
1
Suppose -3*n - n + 104 = 0. What is the units digit of n?
6
Let q = -8 + 8. Let l = 5 + q. What is the units digit of l?
5
Suppose -2*a + 48 + 206 = 0. What is the hundreds digit of a?
1
What is the tens digit of (-6)/(-15) - (-198)/5?
4
What is the units digit of (-11)/(-3) + -4 + (-471)/(-9)?
2
What is the tens digit of (-1)/4 - (-267)/12?
2
Let o(r) = -1 - r**3 + 0 + 2*r - 4*r**2 - 8*r - 2. What is the tens digit of o(-4)?
2
Let v(h) = 2*h**2 - 3*h - 5. Let q = -8 - -12. Let s be v(q). Suppose -5*p + s = 5*i, 2*i + 3*p = -7 + 14. What is the units digit of i?
2
Suppose -5*j = 2*j - 210. What is the tens digit of j?
3
Suppose -4*o + 2*j + 942 = 0, 2*o - 3*o = 2*j - 238. What is the hundreds digit of o?
2
Let c(f) = -f**3 - 4*f**2 + f + 5. What is the units digit of c(-4)?
1
Let w = 3 - -3. Let d = 4 + 0. Suppose d*g - w*g = -8. What is the units digit of g?
4
Let l(u) be the third derivative of u**6/120 - u**5/20 + u**4/6 - u**3/6 + 4*u**2. Let w(i) = 4*i**2 - 1. Let q be w(-1). What is the tens digit of l(q)?
1
Let v(f) be the second derivative of 2*f**3/3 + 5*f**2/2 + 2*f. What is the tens digit of v(7)?
3
Let h(b) = 2*b + 7. Let o be h(5). Suppose -4*p = -3 - o. Suppose 2*t - d - 14 = 11, 4*d = p*t - 58. What is the tens digit of t?
1
Let u be -1*(3 + -1 - 5). What is the units digit of 1/3 + 17/u?
6
Let a(v) be the first derivative of 2*v**3/3 + v**2 + 2*v - 3. What is the tens digit of a(-3)?
1
Let a = -41 + 99. What is the units digit of a?
8
Suppose -5 = -d - 5*w + 1, -2*w = -2*d + 24. Let a be 167/d + 4/(-22). What is the units digit of ((-3)/2)/(a/(-80))?
8
What is the units digit of 641/4 - 6/24?
0
Let x(v) = v**2 + 5*v + 8. Suppose -5*k = 4*t - 2, -t = 5*k + 4*t. Let s(y) = -3*y**2 - 10*y - 16. Let g(j) = k*s(j) + 5*x(j). What is the units digit of g(6)?
2
Let v(c) = c**3 + c**2 + c. Let l(q) = -10*q**3 - q**2 - q - 1. Let j(x) = l(x) + v(x). Let m = 2 + -3. What is the units digit of j(m)?
8
Let f(i) = -i + 17. Let o be f(0). Suppose -l = -3 - o. What is the tens digit of l?
2
Suppose o - 4 = 2*d - 3*o, -2*d = 3*o - 3. Suppose d = 4*h - 63 - 17. What is the tens digit of h?
2
Let l(y) = -y**2 + 16*y - 11. What is the tens digit of l(13)?
2
Let m = 353 - 135. What is the units digit of m?
8
Suppose 2*a = -0*y + 2*y - 16, 4*y = 3*a + 27. Suppose y*b - 6 = b. Suppose -4*n + 60 = 5*j - b*n, 3*n = 5*j - 40. What is the tens digit of j?
1
Let l(y) = y**3 - 14*y**2 + 17*y + 14. What is the units digit of l(13)?
6
Let h = -4 + 7. Let a = h - 2. What is the units digit of a?
1
Suppose 341 = 3*g + 5*b - 144, 2*b = 8. What is the hundreds digit of g?
1
Let x(i) = -i**2 - 13*i + 1. What is the units digit of x(-9)?
7
Let n be (1 - (-3 - -2))*16. Let s = -15 + n. What is the tens digit of s?
1
Suppose 2*q - 9 = 3*w + 6*q, 3*q = 0. Let l be 4 + 0 - (w - -3). Suppose -5*n = 2*s - 31, 4 - 18 = -l*n + 2*s. What is the units digit of n?
5
Suppose c + 539 + 520 = 4*t, t - 2*c = 256. What is the units digit of t?
6
Let z = -40 + 89. What is the units digit of z?
9
Let a be ((-6)/(-8))/((-1)/12). Suppose 0 = -2*z + 13 - 1. What is the units digit of 10/4 + a/z?
1
Let w = -14 - -61. What is the units digit of w?
7
Suppose 0 = 4*k - 5*k + 2. Suppose -5*r = k*d - 46 - 12, 0 = 3*r - 2*d - 38. What is the units digit of r?
2
Suppose -o + 2*o = 5. Let i = o - 2. What is the units digit of i?
3
Suppose 5*c - 2*c - 4*s = 125, -90 = -2*c - 4*s. What is the tens digit of c?
4
Suppose 4*n = -8 - 4. Let h be (-3 - 0) + 13 + n. Suppose -5*x = -52 + h. What is the units digit of x?
9
Let g = 84 + -86. Let c = -8 + 13. Let a = c + g. What is the units digit of a?
3
Let t(j) = -j**3 - 3*j**2 - 3*j - 2. Let g be t(-3). Suppose g*o + 8 = -2*y + 2*o, -7 = y + 4*o. What is the units digit of y?
1
Suppose -s - 4*j = -20, -5*s + 5*j + 53 = -3*s. What is the tens digit of 51/2*s/18?
3
Suppose 3*f + 2*f = 2*j + 102, 55 = 3*f + 5*j. What is the tens digit of f?
2
Let t(s) = 2*s - 21. Let z be t(12). Suppose 3*q - 68 = -q - o, 4*q = 3*o + 52. Suppose -m = -z*m + q. What is the units digit of m?
8
Let z(i) = i**3 + 12*i**2 + 11*i + 15. What is the units digit of z(-7)?
3
Suppose -2*s + 68 = -c + 2*c, -2*c - 88 = -3*s. Let d be 3*(-2)/2*4. What is the units digit of (6/d)/((-2)/s)?
8
Let z = 36 - 38. Let a(w) = -w**2 - w - 1. Let q(h) = 12*h**2 + 10*h + 10. Let g(l) = 22*a(l) + 2*q(l). What is the tens digit of g(z)?
1
Let p = 45 + -7. What is the units digit of p?
8
Let f = -4 - -3. Let n = f - -10. What is the units digit of n?
9
Let k(q) = -22*q**3 - q**2 - 3*q - 2. What is the units digit of k(-1)?
2
Suppose v - 12 = -3*v. Suppose -v*b + 10 = 2*b. What is the units digit of ((-3)/b + 2)*4?
2
Suppose 3*g - 4*l - 21 = 0, 3*g + 18 = 4*g - 5*l. Suppose -5*w + 63 = 4*r, -g*w + 1 = -4*w. What is the tens digit of r?
1
Let l = -111 + 205. What is the units digit of l?
4
Suppose 4*k - 4*u = -u + 27, u = -4*k + 23. Let m(t) = -t + 8. What is the units digit of m(k)?
2
Let k = 6 + -4. Suppose 0 = -0*u + k*u. Suppose 0 = -y - u*y + 9. What is the units digit of y?
9
Let l be (8/(-10))/(3/15). Let k(v) be the first derivative of -v**3/3 - 5*v**2/2 + 2*v - 1. What is the units digit of k(l)?
6
Let j(g) = g**3 + 10*g**2 - 4*g - 11. Let x(v) = -v**3 + 3*v**2 + v + 2. Let i be x(4). What is the units digit of j(i)?
9
What is the tens digit of 210/8 + 6/(-24)?
2
Let m be -24*((-2)/4 - -1). What is the tens digit of (-286)/m - (-6)/36?
2
Let q(t) = -t**3 - 7*t**2 + 5*t - 6. Let g be q(-8). What is the units digit of g*-2*1/(-6)?
6
Let w be (-6)/24 + 1/4. Suppose -5*u - 4*r - 168 = w, -3*u - r = 25 + 73. What is the units digit of u/(-12)*(-18)/(-4)?
2
Suppose 10*x + 6*x = 2304. What is the units digit of x?
4
Let d(p) be the third derivative of -p**6/120 - p**5/15 - p**4/8 - p**3 - 5*p**2. Suppose 12 = -3*m - 0*m. What is the units digit of d(m)?
6
Suppose j = -0*j + 25. What is the units digit of j?
5
Suppose 9*o - 626 = 2335. What is the units digit of o?
9
Let n(o) = 10*o - 1. Let a(r) = 2*r**2 + 15*r + 15. Let s(h) = h**2 + h. Let y(p) = a(p) - s(p). Let k be y(-13). What is the tens digit of n(k)?
1
Let p(d) = -2*d**3 + 5*d**2 - 2 + 3*d + d**3 - 2*d. Suppose 10 = 3*b - b. What is the units digit of p(b)?
3
Suppose 0 = 4*x + x. Suppose 3 = -i + 4. Suppose x*g = -g + i. What is the units digit of g?
1
Suppose -2*f + 3*t + 172 = 0, 0 = -2*f - 4*t + 2*t + 182. What is the units digit of f?
9
Let v(o) = -o + 5. Let x be v(-4). Let k = x - 2. What is the units digit of k?
7
Let r(g) = -g**3 - 4*g**2 - 2*g - 5. Let u be r(-4). Suppose u*x - 5*v + 0 - 3 = 0, -2*x + v + 9 = 0. What is the units digit of x?
6
Let y be (1 - (-2 + 1))/1. Suppose -p = -5 + y. Suppose 65 = 2*v + p*v. What is the units digit of v?
3
Suppose -z = 3*w - 310, w - 1536 = -8*z + 3*z. What is the units digit of z?
7
Suppose 0 = 2*p - 0*p - 178. What is the units digit of p?
9
Let m = -3 + 5. Suppose -3*d + 