3. What is the units digit of y?
1
Let p(k) be the third derivative of -7/24*k**4 - 1/6*k**3 + 0*k - 1/60*k**5 + 0 - k**2. What is the units digit of p(-6)?
5
Let l = 5 - 0. Suppose 0*k + l*k + 3*i = 101, 40 = 2*k + i. What is the tens digit of k?
1
Suppose 0 = -14*u + 1330 + 3892. What is the hundreds digit of u?
3
What is the units digit of (-1 + 198)/(-5 + 6)?
7
Let b(r) = r - 1. Let w be b(6). Suppose 4*h - 3*h = -5*l + 41, -w*l - 43 = -3*h. What is the tens digit of h?
2
Let i(b) = b**2 - 5*b - 1. Let q be i(6). Let j = q - 10. Let h = 7 + j. What is the units digit of h?
2
Suppose 4*w = -w. Suppose -3*a - d + 23 = w, 0 = a - 0*d - 3*d - 1. What is the units digit of a?
7
Suppose 0 = 2*n - 3*b + 26, 2*b = 2*n - n + 14. Let k = n - -23. What is the tens digit of k?
1
Suppose 11*y = 9*y + 22. What is the tens digit of y?
1
Let d = 126 + -90. What is the units digit of d?
6
Let n(o) = -3*o + 1. Let r be n(-2). Let y = r - 1. What is the units digit of y?
6
What is the units digit of (-1490)/(-40) - 1/4?
7
Let c(v) = 2*v**2 - 2*v + 6. What is the tens digit of c(-5)?
6
Let i be 259/(-21) + 1/3. Let b = -7 - i. What is the units digit of b?
5
Let w = -126 + 205. What is the tens digit of w?
7
Suppose 5*s = j + 14, -3*j - 4*s = s + 2. Let b = 0 - j. What is the units digit of b?
4
Let l(v) = -v**3 + 6*v**2 + 8*v + 5. Let m be l(6). Suppose 2*i = 5*x + m, 0 = -2*x - 0*x - 6. What is the units digit of i?
9
Let h(k) = -k + 22. What is the units digit of h(12)?
0
Let c(f) = 4*f**2 + 2*f - 2. What is the units digit of c(3)?
0
Let n be -8*(9/12)/(-3). What is the units digit of (2 + 8)*(n + 0)?
0
Let d = 71 + 172. What is the hundreds digit of d?
2
Suppose 0 = -5*n + 6 - 1. Let h(z) = -n + 0 - z**3 + 5. What is the units digit of h(0)?
4
Suppose -3*q + 6 = 3*i, 2*q - 3*i + 1 - 5 = 0. Suppose q*m + 37 = 4*w + 15, 2*w + 4*m = -14. Suppose 9 = a + w. What is the units digit of a?
6
Let q = 1 - 1. Suppose -5*o + 14 = -3*k, -3*o + 4*k - 1 + 5 = q. What is the units digit of o*(-1 - 9/(-6))?
2
Suppose j + 202 = 3*s, 7*s - 6*s - 3*j - 70 = 0. What is the units digit of s?
7
Suppose x = -4*x + 120. Suppose -114 = -5*h - x. What is the units digit of h?
8
Suppose 2*k - 6*k = -12. Suppose v = -4*o - 3, -k*v + 11 = 4*o - 2*o. Suppose v*n = -0*n + 35. What is the units digit of n?
7
Let f = -26 - -45. What is the units digit of f?
9
Let k(q) = 2*q + 35. What is the units digit of k(-15)?
5
Let r(a) = 9*a**3 - 2*a**2 + 2*a - 1. Let m be r(1). Let d(t) = -t**3 + 8*t**2 + t + 6. What is the units digit of d(m)?
4
Let l be 4/(-2*1 - -4). Suppose 4*c = 6 - l. Let r = 2 - c. What is the units digit of r?
1
Suppose 6*a - 100 = 2*a. Let n be (6/15)/(1/a). What is the units digit of ((-2)/n)/((-3)/15)?
1
Let m = -51 - -31. Let v = -11 - m. What is the units digit of v?
9
Let m(j) = 4*j + 1. Suppose 4*c + 7 - 27 = 0. Let l be m(c). Suppose 2*k = -k + l. What is the units digit of k?
7
Suppose -4208 = -9*s - 410. What is the tens digit of s?
2
What is the tens digit of 4*2/6*147?
9
Suppose 0 = -14*y + 9*y - 2*p + 509, -2*p = -3*y + 315. What is the units digit of y?
3
Let u = 33 + -18. Let w(f) = f - 11. Let r be w(6). Let i = r + u. What is the tens digit of i?
1
Let o(w) = 4. Let f(r) = 9. Let t(x) = -3*f(x) + 7*o(x). Let z(a) = -2*a + 1. Let i(n) = -2*t(n) - z(n). What is the units digit of i(6)?
9
Let p = -5 + 8. Suppose -p*l - 14 = -5*l. Suppose 43 = 3*f + l. What is the tens digit of f?
1
Let a be (-3)/(6/32) + 1. What is the tens digit of ((-96)/15)/(6/a)?
1
Let g(c) = 31*c + 7. What is the units digit of g(3)?
0
Let t be -3*(28/(-12) + 2). What is the units digit of 3 + t*4/(-2)?
1
Suppose 3*c = 2*c - k - 2, 3*c = -2*k - 5. What is the units digit of ((-15)/9)/c*3?
5
Let j(i) = i**2 - 7. Suppose 2*d + 1 + 11 = 0. What is the units digit of j(d)?
9
Let j be (0/(-3 + 5))/(-2). Suppose 12 = -4*l - j*l. What is the units digit of (l/(-3) - -15) + 0?
6
Suppose 4*i - t - 155 = 0, i + 5*t - 32 = -9. What is the tens digit of i?
3
What is the tens digit of (3 + -8)/5 - -118?
1
Suppose -5 = -2*u + 3. Suppose 0 = u*k, 13 = h + 4*k + 4. Let s = 5 + h. What is the tens digit of s?
1
Let s = -8 + 1. Suppose 25 = 2*t + l, 0 = 3*t + 3*l - 22 - 20. Let z = s + t. What is the units digit of z?
4
Let a(c) = c + 6. Let x be a(-7). Let d be (2 + -4 - -1)/x. Suppose -3*o + 13 = d. What is the units digit of o?
4
Let b(m) = 36*m - 2. What is the units digit of b(2)?
0
Let t = -70 + 242. What is the hundreds digit of t?
1
Suppose -5*j - 16 = 104. What is the tens digit of (-1 - 0)/(2/j)?
1
Let w be 1/(3/(-1 + 10)). Let d(x) = x**3 - x - 1 + 5*x**2 - 2*x**w - 2*x + 0*x. What is the units digit of d(4)?
3
Let p(r) = -3*r. Suppose -5 = -2*b - 1. Suppose 5*x + 0*x = -3*i + 12, -b*i - 5*x + 13 = 0. What is the units digit of p(i)?
3
Let j(f) = -f**2 - 11*f + 14. Let r be j(-10). What is the tens digit of r - (1 - (-4 - -3))?
2
Suppose 0 = 4*w - 8*w + 160. Let m = w - 29. What is the tens digit of m?
1
Suppose -c = -4*p + 231, -3*c = -4*p - 0*c + 221. What is the units digit of p?
9
Let h(f) = -f**3 + f**2 + 4. Let l(g) = g**2 - 8*g + 7. Let r(o) = -o**2 + 9*o - 8. Let i(a) = -4*l(a) - 3*r(a). Let k be i(4). What is the units digit of h(k)?
4
Let m = 458 - 298. What is the units digit of m?
0
Suppose -3*x - g + 299 = 3*g, -204 = -2*x - 5*g. What is the tens digit of x?
9
Suppose 185 = 8*n - 95. What is the tens digit of n?
3
Let q(c) = -c**3 + 5*c**2 + 7. Let o be q(5). Suppose -2*k + k = -o. What is the units digit of ((-18)/(-21))/(1/k)?
6
Suppose b = 5*b - 164. What is the tens digit of b?
4
Suppose -5*w - 472 = -1422. Suppose -4*i = -4*j + 164, 5*j + 3*i - 5*i - w = 0. What is the tens digit of j?
3
Let l be (-4)/(-16) + 54/8. Let o be l - (-6)/(6 - 3). Suppose -y = -2*y + o. What is the units digit of y?
9
Let q(j) be the second derivative of j**5/20 + j**4/4 - j**3/6 + j. What is the units digit of q(-3)?
3
Suppose 0 = -4*m + 3*a + 152, m = 2*a + a + 38. Suppose -5*n + 2*w = -190, -3*n + 4*n - m = -3*w. What is the tens digit of n?
3
Suppose -1 = 5*z - 2*b - 11, 0 = -2*z + b + 5. Let r = z + 8. What is the units digit of r?
8
Let h = -114 + 228. What is the tens digit of h?
1
Let u(f) = f**3 + 3*f**2 + 2. Let o be (-4)/(-18) - 29/9. Let v be u(o). What is the units digit of 6 + (2 - v)/1?
6
Let f(k) = -3*k. Let l be f(-6). Let p = 13 + -9. What is the units digit of p/l - (-25)/9?
3
Suppose 2*v + 54 = 132. What is the tens digit of v?
3
Let g(z) = 2 + 2*z**2 - 2*z**2 + 4*z**3 + z + 2*z + 4*z**2. Let k be g(-2). Let a = k + 36. What is the tens digit of a?
1
Let b = -250 - -409. What is the tens digit of b?
5
Suppose 127 = 3*t + 13. What is the units digit of t?
8
Let g = -19 + 61. Let d = g + -30. What is the units digit of d?
2
Let y(o) be the first derivative of -o**5/20 + o**4/12 - o**3/6 + 7*o**2 - o + 1. Let t(u) be the first derivative of y(u). What is the units digit of t(0)?
4
Let g = 0 - -7. What is the units digit of g?
7
Let w = 31 + -7. Let c be 3/2*w/(-18). What is the units digit of c/3 + 87/9?
9
Let b = -104 + 218. What is the tens digit of b?
1
Suppose 0 = -3*i + 4*k + 108, 5*i - 159 - 21 = -2*k. What is the units digit of i?
6
Let p = 44 + -6. What is the tens digit of p?
3
What is the tens digit of (0 + 4)*2 + 2?
1
Let z(i) be the second derivative of -i**4/24 + i**3/3 + i**2 - 3*i. Let a(b) be the first derivative of z(b). What is the units digit of a(-5)?
7
Let l(f) = -f**2 - f. Let w(u) = -3*u**3 + 6*u**2 + 7*u - 2. Let g(p) = -4*l(p) - w(p). What is the tens digit of g(2)?
1
Let i(h) = h**2 - 5*h + 5. Let s = 10 + -5. Let f be i(s). Suppose -9 = -f*d + 1. What is the units digit of d?
2
Let l(p) = -5*p**3 + 4*p**2 + 2*p - 5. What is the hundreds digit of l(-3)?
1
Let t = 241 + -67. What is the tens digit of t?
7
Suppose 3*j = 4*g - 2, 5*g + 0 - 2 = 4*j. Let d(n) = n**2 - n**j - n**2 - n**2 - n - 7*n**3. What is the units digit of d(-1)?
6
Let z(f) = f**3 - 5*f**2 - 7*f + 3. Let r be z(6). Let m be (-3)/(-2)*(-24)/18. Let l = m - r. What is the units digit of l?
1
Suppose -3*m + 7 = 4. What is the units digit of 42/(m + (2 - 1))?
1
Let j = 21 - 3. Let o = j - 4. What is the tens digit of o?
1
Suppose -5*j + 5*w = 15, j + 13 = -2*j - w. Let b(t) = -6*t - 4. Wha