ppose 0 = -2*s + s. Suppose s*j = j - 1. Suppose -3*m - j = r, -5*m = 2*r - 0*r. What is the units digit of r?
5
Let v be -2*(1 + 1 + -3). Let c = v + -1. Suppose 0 = s + g - c, 3*s - 2*g = 8. What is the units digit of s?
2
Suppose 0 = 29*g - 31*g + 66. What is the tens digit of g?
3
Suppose i - 525 = -3*c - 2*i, 0 = -4*c - 5*i + 696. What is the units digit of c?
9
Suppose 5*s + c - 83 = 0, 0 = -2*s - 2*c + 55 - 17. What is the tens digit of s?
1
Let d(m) be the first derivative of m**4/24 - 2*m**3/3 + 2*m**2 - 1. Let g(t) be the second derivative of d(t). What is the units digit of g(9)?
5
Suppose -8*g - 20 = -4*g. Let n = -1 - g. Suppose 4*a = -n*k + 40, 2*k - a + 4*a - 25 = 0. What is the units digit of k?
5
Suppose 16*g + 981 = 3397. What is the units digit of g?
1
Suppose -2*r = 3*r - 25. Suppose -4*t = n - 7, 0*t = -r*t - 3*n + 7. Suppose s - 3*w - 5 = 0, 4*s - 3*s - 25 = -t*w. What is the tens digit of s?
1
Suppose 0 = y + 5*n + 21 + 8, -2*y - 23 = 3*n. Let a be (-8)/(-2)*(y + 3). What is the units digit of a*(1 - (-18)/(-8))?
5
Let i be (-123)/6 - 2/4. Suppose 136 = 4*k - 0*k. Let a = i + k. What is the units digit of a?
3
Let j(i) = i**3 - i**2 - 2*i + 49. What is the units digit of j(0)?
9
Suppose 0 = 7*q - 41 - 1492. What is the units digit of q?
9
Suppose -2*f - f = 5*s - 16, 2*f - 10 = -3*s. Suppose 48 = -0*p + f*p. Let u = p - 14. What is the units digit of u?
0
Let l(f) = -2*f**3 - 4*f**2 - 4*f - 2. Let z be l(-2). Suppose 132 = z*x - 3*x. What is the units digit of x?
4
Let a = 7 - 5. Suppose 2*p - 2*u - 1 = 3, -2*u + 12 = a*p. What is the units digit of p?
4
Let m = -6 - -7. Let k = 24 - m. Let r = 39 - k. What is the tens digit of r?
1
Let p = 7 - 4. Suppose -c = -p - 3. Suppose 23 = 3*o - w, 2*w + c = 2*o - 12. What is the units digit of o?
7
Let v(u) = u**3 + 2*u**3 - 2*u**3 - 7 + 6*u**2 - u. Let w be v(-6). Let g = 4 + w. What is the units digit of g?
3
Let t = -44 + 96. Suppose -t = -i + 3*i. Let a = -18 - i. What is the units digit of a?
8
Suppose -4*g = -3*j - 5, -5*j + 7*g - 4*g = 12. What is the units digit of (2 + j)*0 + 4?
4
Let q = -1 + 5. Suppose 46 - 2 = q*h. What is the units digit of h?
1
Let q = -16 + 89. What is the tens digit of q?
7
Suppose 5*o - 2*a = 2*a + 995, 2*o - 398 = 2*a. What is the units digit of o?
9
Let v = 35 + -29. What is the units digit of v?
6
Suppose 0 = 9*i - 4*i - 15. What is the units digit of i?
3
Suppose p + 182 = 3*d - 0*p, 4*d - 2*p = 240. Let k = d + -35. What is the tens digit of k?
2
Suppose 4*c - 27 - 70 = -5*u, 14 = u - c. What is the tens digit of u?
1
Let c(o) = o**2 + 4*o. Let q be c(-4). Suppose 0 = 4*s - 25 - 15. Suppose q = -5*p - h - 2*h + 14, s = 3*p + h. What is the units digit of p?
4
Let x(s) = -s - 2. Let d be -8 - (-4 + 3/3). Let r be x(d). Suppose -2*o = r*o - 35. What is the units digit of o?
7
Let m(j) = -j - 7. Let p be m(-4). What is the tens digit of -5*(1 - 6) + p?
2
Let d = 77 - 27. What is the units digit of d?
0
Suppose 3*n = 8*n - 10. What is the units digit of n?
2
Let y be 14/(-10) + 2/5. Let f be y/(-6)*4*18. Suppose 0 = 4*n + f - 60. What is the tens digit of n?
1
Let a(m) be the first derivative of m**3/3 - m**2/2 - m - 4. What is the units digit of a(4)?
1
Let h = -2 + -2. Let r(k) = -k**2 - 4*k. Let g be r(h). Suppose g = -2*y + 3*y - 16. What is the tens digit of y?
1
Let p = -4 - -6. Let s be p*(-1 + 1 + 1). Let l = 0 + s. What is the units digit of l?
2
What is the units digit of 2/8 + (7326/8)/9?
2
Suppose -3*y + 6 = -0*y, f - 2 = -y. Suppose 0 = -3*p - 5*g + 13 - f, -3*g + 2 = -4*p. What is the units digit of p?
1
Suppose 5*w + 40 = -35. Let y(c) = -2*c + 16. What is the units digit of y(w)?
6
Let r(c) = -c**3 + 7*c + 5. What is the units digit of r(-4)?
1
Let d(y) = -y**3 + 9*y**2 - 4*y + 8. Let f be d(6). Suppose -5*b = -267 + f. What is the tens digit of b?
3
Let c = -76 - -78. What is the units digit of c?
2
Suppose 0*n + 4*n - x = 269, 5*n = 3*x + 345. What is the tens digit of n?
6
Let n(o) = -o**3 - 8*o**2 - 6*o + 7. What is the tens digit of n(-9)?
4
Let x = -1 + 5. Suppose 0 = 4*v - x - 16. What is the units digit of v?
5
Suppose -4*h = 5*l + 12, 5*l - 9 = l + 3*h. Suppose -2*v = -l*v - 10. Suppose v*x + q = 23, 6*x - 5*q - 30 = 2*x. What is the units digit of x?
5
Let b = -145 + 210. Suppose -3*o - 5*h = -b, 2*o - 3*h = 43 - 6. What is the tens digit of o?
2
Let a(x) = -x**2 + 8*x - 4. Let h be a(7). Suppose 0*u + 4*u + h*c = 47, 2*u - 24 = -2*c. What is the tens digit of u?
1
Let j(z) = -z**3 - 4*z**2 + 4*z - 3. Let r be j(-5). Let t be 0 - ((-8)/r + 2). Let w = t + 0. What is the units digit of w?
2
Let t(v) = 4*v - 5. Let m = 3 - -1. Let a be t(m). Suppose -5*x + a + 19 = 0. What is the units digit of x?
6
Suppose x - 210 = 29. What is the tens digit of x?
3
Suppose 2*k = -2*m + 878, k + 7*m = 8*m + 443. What is the hundreds digit of k?
4
Let o(j) = 2*j**3 - 2*j**2 - j + 2. What is the units digit of o(3)?
5
Let r be -3 + 1/(-1) - 0. Let b(c) = c**3 + 6*c**2 + 7*c + 4. Let q be b(-4). Let j = r + q. What is the units digit of j?
4
Let n(u) be the second derivative of u**4/12 - 2*u**3/3 - u**2/2 - 2*u. What is the units digit of n(5)?
4
Let b be (-2 + 0)*1 - -8. Suppose -4*o = -2 - b. Suppose p = -o*p, -3*s + 21 = 4*p. What is the units digit of s?
7
Let z be (1 - 1) + -1 + -14. Let j = 2 - z. What is the tens digit of j?
1
Let d(h) = 2*h + 51. What is the units digit of d(-15)?
1
Let t(p) = 2*p**3 + 4*p**2 - 3*p - 1. Let q(j) = 5*j**3 + 9*j**2 - 7*j - 3. Let s(c) = 3*q(c) - 7*t(c). What is the units digit of s(2)?
2
Let q = -4 + 6. Suppose q*p - 16 = -0*p. What is the units digit of p?
8
Let v = -127 - -195. What is the units digit of v?
8
Let u(h) = 5*h - 3. What is the tens digit of u(16)?
7
Let p(t) = t**3 + 7*t**2 + 6*t + 6. Suppose -3*h - 12 = -h. Let d be p(h). Suppose 5*a = -2*s + d*s, 4*a + 9 = 5*s. What is the units digit of a?
4
Suppose 5*g = 5*c - 0 - 10, -3*g = 3*c - 12. Let o be 1 + 1 + (2 - 4). Suppose c*x - 13 - 47 = o. What is the units digit of x?
0
Let a = -66 + 71. What is the units digit of a?
5
Let j = 10 - 0. Suppose r - 3*h - j = 0, 0 = -3*h - 2*h + 5. What is the units digit of r?
3
Let n(q) = 32*q**2 - q. What is the units digit of n(1)?
1
Let u(h) = -h + 4. Let a be u(2). Let q = 0 + a. What is the units digit of (2/(-3))/(q/(-15))?
5
What is the tens digit of (-136)/(-10) + 10/25?
1
Let k(q) = -q**3 - 11*q**2 - 12*q + 13. Let j be k(-10). Let l = 60 - j. What is the tens digit of l?
2
Let u(t) be the third derivative of 0*t**3 + 0 - 7/24*t**4 + 0*t - t**2. What is the units digit of u(-2)?
4
Let r(q) be the first derivative of -q**2/2 + 11*q + 2. Let f be r(10). Suppose f = 5*v - 4. What is the units digit of v?
1
Suppose 28 = 3*c + 5*w, 0 = 4*c + w + w - 28. Let q(f) = f - 2. Let t be q(c). Suppose -t*x = -5*g - 60, 3*g + 0 = -x - 2. What is the units digit of x?
0
Let c(d) be the second derivative of -d**4/8 - d**3/6 - 3*d**2/2 + 2*d. Let i(p) be the first derivative of c(p). What is the units digit of i(-4)?
1
Suppose -2*h + 4*h = 0. Let i be (1*-1 - -7) + 0. Suppose 0*f - f + i = h. What is the units digit of f?
6
Suppose -z = z - 3*x - 8, -2*z + 8 = -2*x. Let g be 2/(-3) + 114/9. What is the units digit of (z/g)/(1/18)?
6
Let d = 2 - -1. Suppose 0 = -7*y + d*y - 8. What is the units digit of (y/(-2))/(-1) - -3?
2
Suppose 7*i = 2*i + 185. What is the units digit of (0/3 - -1) + i?
8
Let q = -211 - -367. What is the tens digit of q?
5
What is the units digit of 1/((-2)/(-38)) + (-30)/(-15)?
1
Let f = 223 - 108. What is the tens digit of f?
1
Suppose 0*u + u + 1 = 0. Let w = 5 - u. What is the units digit of w?
6
Let y be 6/(-2)*(-1)/(-3). Let f be (y - -7) + (-3)/1. Suppose 0 = -3*d + 5*l + 25, 0*d - 3*l = f*d - 57. What is the units digit of d?
5
Suppose 4*r + 0*r - 48 = 0. What is the units digit of r?
2
Suppose -5*f + 2*f = -12. What is the units digit of ((-18)/(-24))/(1/f)?
3
What is the units digit of 4 - (-1 + -21) - 1?
5
Suppose -x + 3*b = -70, -x - 4*x + 415 = -2*b. What is the tens digit of x?
8
Let p = 6 - 3. Suppose -3*w + g = -43, -g = p*g - 8. What is the units digit of w?
5
Suppose -t = 3*d - 2*d - 3, 3*d = t - 11. Suppose 0 = t*f - 0*f - 40. What is the units digit of f?
8
Supp