at is the units digit of n?
6
Suppose -3*n + 2 + 7 = 0. What is the units digit of n?
3
Let m(d) = d**2 + 8*d + 10. Let g(p) = 3*p**2 + 23*p + 29. Let b(n) = -2*g(n) + 7*m(n). What is the tens digit of b(-10)?
1
Let g(v) = -v**3 - v**2 + v. Let o be g(-2). Suppose 0 = o*p - 3*p + 8. Let w = 0 + p. What is the units digit of w?
8
Let i(a) = a**3 - 5*a**2 - a + 5. Let v be i(5). Let l(y) = y**3 - 3*y**2 - 4*y + 3. Let j be l(4). Suppose v = b + j*b - 4. What is the units digit of b?
1
Suppose 5*n - 4*w = 162, 0 = -3*n + 3*w + 49 + 47. Suppose b = -4*b + 2*q + n, 10 = 3*b + 4*q. What is the units digit of b?
6
Suppose -1 = -4*y + 15. Suppose -a = y*a - 60. What is the units digit of a?
2
Let y = 9 - 16. Let a be (4 - 1)*(10 + y). Suppose -a - 7 = -o. What is the units digit of o?
6
Suppose -q - 574 = -6*q + 2*m, 0 = -3*q - 4*m + 360. Suppose -5*r = -r - q. What is the units digit of r?
9
Let i(d) = 60*d. What is the tens digit of i(1)?
6
Suppose 4*o - 94 = -3*w, o = 2 - 1. What is the units digit of w?
0
Suppose -2*u = 2*u + 28. Let o(s) = -s**2 - 8*s - 7. Let m be o(u). Suppose 2*k = 3*i - m*i - 4, -2*i - 4*k + 24 = 0. What is the units digit of i?
4
What is the units digit of 2*(31/2 - 1)?
9
Let c(y) = 8*y**2 + 8*y + 2. What is the units digit of c(-4)?
8
Let c = 372 - 235. What is the tens digit of c?
3
Suppose 0 = -4*s, -7*z - 3*s + 15 = -2*z. Suppose 2*l = 4*w + 7 + z, 3*w = 2*l - 13. Let r = -8 + l. What is the units digit of r?
3
Suppose a + 10 = 4*a - 5*m, m = -4*a + 21. Suppose -24 = -5*o + 2*u, a*o - 3*u - 3 = 18. What is the units digit of o?
6
Suppose -2*o + 3 + 1 = 0. Suppose d - o*c = 2*d - 11, 29 = 3*d + 4*c. What is the units digit of d?
7
Suppose 4 = -i - 1. Let h(s) be the second derivative of s**4/12 + 2*s**3/3 + 7*s**2/2 + 9*s. What is the units digit of h(i)?
2
Let y(f) be the second derivative of -f**5/20 + f**4/4 - f**3/3 + f**2/2 - f. What is the units digit of y(2)?
1
What is the units digit of 2 - 1*(-69 + -4)?
5
Suppose 19 + 25 = 5*p + x, -5*p + 3*x + 48 = 0. Let k = p + 6. What is the units digit of k?
5
Suppose -3*j + 36 = j. Suppose 4*k - j = -1. Suppose -2*r - 3*r + k*x = -33, 4*r - 40 = 5*x. What is the units digit of r?
5
Suppose -4*d = 16, 2*l - l - 20 = 3*d. Let q be (4/10)/(l/20). Suppose -t + 4 = q. What is the units digit of t?
3
What is the units digit of (-2 + (-1)/(-2))/((-1)/26)?
9
Let w(b) = -b**3 - 7*b**2 + 4. Let j be w(-7). Suppose 3*d = j*d - 21. Suppose v + 3*v - 3*u = d, -21 = -5*v + 2*u. What is the units digit of v?
3
Let j(i) = 12*i - 52. What is the tens digit of j(15)?
2
Let u be 1*(3 - (4 + -2)). Let n be (8/(-10))/(u/(-5)). Suppose o - 9 = 2*h - 0*h, n*h = 3*o - 27. What is the units digit of o?
9
Let p(k) = k**2 - 3*k. Let o(j) = j**3 - 5*j**2 - 5*j - 3. Let x be o(6). Let s be p(x). Suppose 4*q = -s + 8. What is the units digit of q?
2
What is the units digit of 3*(-1 - (-20)/6)?
7
Let t(q) = -5*q. Suppose 3*k + 0 + 9 = 0. What is the units digit of t(k)?
5
Suppose 0*d + 3*d = 3. Let m be (d - 2) + 33/3. What is the units digit of ((-6)/5)/((-2)/m)?
6
Let a(d) = 7*d**2 - d - 3. What is the hundreds digit of a(4)?
1
Let s be (-2)/(1/9*-2). Let p(i) = -i + 1. Let o be p(-1). Suppose 3*u + o*j - 4*j - 11 = 0, s = u + 2*j. What is the units digit of u?
5
Let z be 1 + -2 + 0 + 4. Suppose -z*i = -8*i + 20. Suppose v - 3*g = -i*g + 11, -4*g = -3*v + 12. What is the units digit of v?
8
Suppose 2*v + v = -24. Let u = 8 + v. What is the units digit of (u - -1)/((-3)/(-12))?
4
Let w = 191 - 71. Suppose -1 - w = -5*h - k, 3*h - 3*k - 69 = 0. What is the units digit of h?
4
Let b(j) = -j**3 + 11*j**2 + 2*j - 5. What is the tens digit of b(11)?
1
Suppose 5*s = -31 - 19. Let a be 8/(-3)*15/s. Suppose -3*j - 2 = -a*j. What is the units digit of j?
2
Suppose -7*x + 15 + 6 = 0. Let g(v) = -3 + 0*v**3 + 0*v**3 + v**3 + 2*v - 2*v**2. What is the tens digit of g(x)?
1
Let q(j) = 17*j**2 + j. What is the units digit of q(1)?
8
Let o = 14 + 9. What is the units digit of o?
3
Let u = -3 + 3. Suppose 2*i + 0*i - 18 = u. What is the units digit of i?
9
Suppose 5*p + o + 11 + 2 = 0, o - 5 = 4*p. Let t be (-1 - (3 + p)) + 4. Suppose 4*r - 2*l - t*l = 20, 0 = -4*r - l + 5. What is the units digit of r?
2
Let o(p) = p**3 - 3*p**2 - 3*p - 4. Let r be o(4). Suppose 4*z - 152 = -r*z. What is the tens digit of z?
3
Suppose 135 = -0*z + 3*z. Let d = -24 + z. What is the tens digit of d?
2
Let w = 967 + -665. What is the hundreds digit of w?
3
Suppose 2*w + 0 - 4 = 0. Suppose -3*i - w*i = -25. What is the units digit of i?
5
Let y(k) = -k**3 - 13*k**2 - 4*k - 15. What is the tens digit of y(-13)?
3
Let w(g) = 15*g**2 + 3*g + 1. What is the units digit of w(-2)?
5
Let k(b) = -b + 3. Let j be k(-5). Let v = -3 + j. Suppose 3*t - 4*t = -n + 19, -3*n + v*t + 67 = 0. What is the tens digit of n?
1
Let u = -26 - -38. Suppose -3 = -i - 0*i. Suppose 3*r + t - u = -2*t, i*r + 2*t = 9. What is the units digit of r?
1
Suppose -f = -201 - 27. What is the hundreds digit of f?
2
Let h = 324 + 38. What is the hundreds digit of h?
3
Let b(v) = -v**3 + 3*v**2 + v - 4. Let j be b(-3). Suppose -5*x + 14 = -21. Suppose -x = 5*d - j. What is the units digit of d?
8
Let o = -47 + 68. What is the units digit of o?
1
Let v = 29 + -3. Let t = 15 - v. Let i = -7 - t. What is the units digit of i?
4
Let f = 24 - 22. Suppose -v - 16 = -f*v. What is the tens digit of v?
1
Let j(h) = -2*h - 4. Let x be j(-5). Suppose 5*s + g + 57 = 0, -g - 21 = -4*s + x*s. Let p = s + 26. What is the units digit of p?
4
Suppose -5*r = -2*r - 168. What is the tens digit of r?
5
Let x(k) = 6*k - 3. What is the tens digit of x(6)?
3
Let u(y) = 0 - 7 - y + 0*y + 2. Let a be u(-9). Suppose 0 = -a*v + 84 - 12. What is the tens digit of v?
1
Let w(h) = -3*h**3 + 4*h**3 + 9*h**2 + 2 - 4*h**2. What is the units digit of w(-4)?
8
Suppose 17 = 7*q - 347. What is the units digit of q?
2
Let x = -1 - 0. Let o = -1 - x. Suppose o*t + 4*t - 8 = 0. What is the units digit of t?
2
Let p be ((-1)/(-2))/((-3)/(-42)). What is the tens digit of 0 - -27 - (7 - p)?
2
Suppose -4*z = -4*y - 20, -z + 8 = -3*y - 3. Let a = 11 - z. What is the units digit of a?
9
Let f be (-6)/(-9)*(0 - 3). What is the units digit of 0 + -1 + (-6)/f?
2
Let y be -3*(-2)/(-6)*13. Let k = -9 - y. What is the units digit of k?
4
Let z(b) = 2*b**2 + 0*b + 2*b**2 - 9*b - 5*b**2 + 5. What is the tens digit of z(-8)?
1
Let c(q) be the third derivative of q**5/60 + 7*q**4/24 + 17*q**3/6 + 6*q**2. What is the units digit of c(-7)?
7
Let y = 856 - 575. What is the units digit of y?
1
Let i = -124 + 205. What is the tens digit of i?
8
Let g be 2/(-1) + (30 - -1). Suppose 2*s - 3*s = -g. What is the tens digit of s?
2
Let f = 14 - 4. What is the units digit of f?
0
Let a(n) = n - 1. Let v(d) = -4*d**2 - 2*d - 1. Let l be v(-1). Let f be 0 - (-4)/2 - l. What is the units digit of a(f)?
4
Let a(f) = -f**3 - 8*f**2 + 10*f + 11. Let y be a(-9). Suppose y*z = -31 + 123. What is the tens digit of z?
4
Let a = -109 + 162. What is the units digit of a?
3
Let l = 0 - -2. Let f(q) = 2*q**2 - q + 5. Let p be f(0). Suppose 24 = p*s - l*k - 12, -2*k = 2*s - 6. What is the units digit of s?
6
Let g(w) = -w**2 + 2*w + 5. Let z be -3 + 3 - (-3 - 0). What is the units digit of g(z)?
2
Let w(s) = s + 9. Let o be w(-9). Suppose 2*r + 6 = o, 0 = -3*v + 3*r + r + 21. What is the units digit of v?
3
Let p(n) = -n**2 + 6*n + 6. Let x be p(5). Suppose 8 = 4*o, -3*u - o + x = -3*o. What is the units digit of u?
5
What is the units digit of 2172/36 - 4/(-6)?
1
Suppose -2*w - h + 5 = 0, 8*w - 20 = 3*w - h. Suppose 0*f - 26 = -w*t + 3*f, -t - 4*f - 4 = 0. What is the tens digit of 11/1 + 0/t?
1
Let m be 0/(-2) + (-12)/(-6). What is the tens digit of (2 + 0)*13/m?
1
Suppose -x - 99 = -5*j, 4*x + 6 + 10 = 0. What is the tens digit of j?
1
Let s = 191 - 115. What is the tens digit of s?
7
Let h(c) = c**3 - 6*c**2 + 3*c. Let q(j) = -j**3 - 2. Let g be q(-2). What is the units digit of h(g)?
8
Let g(h) = 75*h**2 + h. What is the tens digit of g(1)?
7
Let z = -5 - -7. What is the units digit of z?
2
Suppose -5*j + 4*j - 5*n = 1, -4*n = -2*j + 68. What is the units digit of j?
4
Suppose 760 + 590 = 9*u. What is the units digit of u?
0
Suppose 1 = c - 1. Sup