t j = -302 - -425. What is the units digit of j?
3
Let m = -2 - -8. Let i(b) = 3*b + 29. Let g(d) = d + 10. Let w(f) = m*i(f) - 17*g(f). What is the units digit of w(4)?
8
Let y(q) be the first derivative of q**2 - 9*q - 1. Let n be y(6). Suppose 0 = n*m - 17 + 2. What is the units digit of m?
5
Let c(w) = -w**2 - 8*w + 6. Let t be c(-7). Let i = t + -6. Let y = 24 - i. What is the tens digit of y?
1
Suppose 0*z + z = 9. Let x = -3 - 0. What is the units digit of (2 + -2)/x + z?
9
Suppose 3*i = -2 - 124. What is the tens digit of i/(-35)*100/6?
2
Let v be (105/(-6))/(1/(-6)). Suppose 10*d = 5*d + v. What is the units digit of d?
1
Let h(d) = 8*d**2 + 62*d - 5. What is the units digit of h(-10)?
5
Let a = -6 - -9. What is the tens digit of (a - 1)/(12/66)?
1
Suppose 6 = 3*w - 6. What is the units digit of w?
4
Let h(o) = -o**3 - 2*o**2 + 4*o - 2. Let l be h(-4). Let q(y) = y**3 - 13*y**2 - 15*y + 15. What is the units digit of q(l)?
1
Let p(l) = 2*l**2 - 10*l - 10. What is the units digit of p(-4)?
2
Let p = -5 + 18. Suppose -4*b + 5*x = -p, 5*b + 2*x = -2*x + 6. Suppose 3*c = -y + 10, -5*c - b = y - 16. What is the units digit of y?
4
Suppose 2*x - 4 = -0*x. Suppose -3 = x*o - 25. What is the units digit of o?
1
Let j be (-2)/(-3) + (-3)/(-9). Let k be -12*j/(-1 - 0). Suppose 35 = 5*n + p + 11, 0 = 4*n - p - k. What is the units digit of n?
4
Let p(h) = -4*h - 3. Suppose 4*s + 0*s + 20 = 0. What is the units digit of p(s)?
7
Suppose -x = x. Let u be -3 - -1 - (-9 - x). Let l = 8 - u. What is the units digit of l?
1
Let x be ((3 - 2)/(-1))/(-1). Suppose 0 = u - 2 - x. Let q(c) = 3*c - 2. What is the units digit of q(u)?
7
Suppose -4*w + 0 + 5 = -3*t, 3*w - 2 = 4*t. What is the units digit of t?
1
Let l(z) = -z**3 + 3*z**2 + 5*z - 2. Let w(o) = o + 2. Let r be w(6). Let j be (r/2)/2 - -2. What is the units digit of l(j)?
2
Let s(w) = -4*w - 1. Let c be s(-1). Suppose -3 = -3*v - c*m, 4*m + 30 = 3*v - 8. Let u = v - 2. What is the units digit of u?
4
Let f = -15 + 59. What is the tens digit of f?
4
Let d = -31 - -58. Let i = d + 10. What is the units digit of i?
7
Let b be 9/(-2)*(-16)/3. Suppose u - b = -3*u. What is the units digit of u?
6
Let m(x) = 35*x. What is the units digit of m(1)?
5
Let p(g) = -g**3 - 4*g**2 + 6*g + 5. Let l be p(-5). Let f be l*(-1 - 0) - -9. What is the units digit of (-1)/3 - (-75)/f?
8
Let m(s) = -10*s - 49. What is the tens digit of m(-7)?
2
Suppose 3*g = -62 + 233. What is the units digit of g?
7
Let m(y) = -y**3 - 2*y**2 - 10*y - 11. Let x(j) = -j**2 + j + 1. Let f(c) = m(c) + 4*x(c). Let h be f(-5). What is the units digit of (h + (-10)/(-6))*-9?
3
Let z = 14 - -6. What is the units digit of z?
0
Suppose 5 = t + 2*n, 0 = -2*t + 7*t + 3*n - 11. Let l be (5 + t)*2/4. Suppose -j + 12 = l*j. What is the units digit of j?
3
Let v(w) = w**2 - 3*w - 6. Let l be v(5). Suppose l*a - 7 = 5. What is the units digit of a?
3
Suppose 0 = 2*w + c + 4*c, c = -2. Suppose -4*b = -b - 15. Suppose b*d = w*v - 8 - 72, -v = -3*d - 20. What is the tens digit of v?
1
Let q = 17 - 13. Let d(y) be the third derivative of y**4/24 - y**3/3 - 2*y**2. What is the units digit of d(q)?
2
Suppose 0 = -h + 3*k - 0*k + 14, 2*k = -6. Let g(s) = -s**3 + s**2 + 3. Let u be g(0). Let f = h + u. What is the units digit of f?
8
Suppose 5*z = z + 4. Let w(l) = 2*l - 1. Let s be w(z). What is the units digit of (4 - 1)/s + 3?
6
Suppose -2*v = -5*g - v + 412, 0 = 5*v + 10. What is the units digit of g?
2
Let c = 20 + -16. Suppose 2*z - 32 = -0*z - 3*j, 76 = c*z + 3*j. What is the units digit of z?
2
Let n = -230 - -361. What is the units digit of n?
1
Suppose -2*p - 306 = -3*y, 0 = -0*y - 3*y - 4*p + 288. What is the tens digit of y?
0
Let p(g) = g**2 + 2*g - 1. Let q be p(-3). Suppose i = -4*i + h + 23, 1 = -q*i - 3*h. What is the units digit of i?
4
Let b(q) = 85*q**2 - 1. What is the units digit of b(-1)?
4
Let i(j) = -4*j - 4 + 2 + j**2 + 3*j. Let b be i(-2). Suppose 0 = m + 3*t - 20, b*t + 24 = -m + 6*m. What is the units digit of m?
8
Let s = 27 - -11. What is the units digit of s?
8
What is the units digit of 6 + -10 + (2 - -23)?
1
Let b be 2/(-2 - 0) - 9. Let c = 17 + b. What is the units digit of c?
7
Let s(y) = -2*y - 12. Let x be s(-9). Suppose -i = 3*q - 6 + 15, 4*i + 8 = -5*q. Let k = x - q. What is the tens digit of k?
1
Suppose 5*c + 2 + 3 = 0. Let v = 5 + c. What is the units digit of v?
4
Suppose -3*m + 7*r = 2*r + 3, -2 = m - 2*r. What is the tens digit of (-1)/m - (-65)/4?
1
Suppose -3 = 4*y + 13. Let t = -23 + 11. What is the units digit of y/t + (-8)/(-3)?
3
Let d(b) = -b**2 + b + 22. What is the units digit of d(0)?
2
Let b(k) = 19*k**3 + k**2 + k - 1. What is the tens digit of b(1)?
2
Suppose 404 = 7*l - 3*l. What is the hundreds digit of l?
1
Let g(z) = -10*z - 2. Let r be g(-5). Suppose -9 + r = 3*c. What is the units digit of c?
3
Let u be 10*3 - (0 + 0). Suppose 4*n - 2 = 2, 0 = -b - 5*n + u. What is the units digit of b?
5
Let v be ((-192)/(-18))/((-2)/30). What is the units digit of v/(-30)*6/4?
8
Suppose s = -f + 3*s + 11, 4*f - 16 = s. Suppose -4*p + 5*p = -4*g + 25, -f*p - 9 = -2*g. What is the units digit of g?
6
Suppose 2*u + 3*p = -p + 422, -5*u + 3*p + 1068 = 0. What is the hundreds digit of u?
2
Let d = 94 + -45. What is the tens digit of d?
4
Suppose 5*u - 229 = -54. What is the tens digit of u?
3
Let o be 3/(-1)*(-16)/(-3). Let p = -10 - o. What is the units digit of p?
6
Suppose -2*j = -7*j + 185. What is the tens digit of j?
3
Let b be (-6)/(3/(1 + 5)). Suppose 0 = 5*z - n - 83, -z + 2*n = -4*z + 55. Let k = b + z. What is the units digit of k?
5
Let j(c) = 3*c + 23. Let r(x) = 16*x + 115. Let a(z) = 11*j(z) - 2*r(z). What is the tens digit of a(-10)?
1
Let d be ((-3)/(-2))/(24/32). Suppose 3*a + 5*b = a + 99, 0 = -5*a - d*b + 258. What is the units digit of a?
2
Suppose 4*j = 7 + 5. What is the units digit of -3*j/9*-43?
3
Let s(b) = b - 10. Let y be s(9). Let p(v) = v + 2. Let n be p(-3). What is the units digit of (-9)/(-1) - n/y?
8
Suppose 0 = -i + 5*m + 41, 4*m - 16 = -2*i + 10. Suppose i = 2*l - 1. What is the units digit of l?
1
What is the hundreds digit of (-1 + -1 - -13)*23?
2
Suppose 0 = -d + 2*f + 257, -2*f = 5*d + f - 1220. What is the units digit of d?
7
Suppose -4*b + b + 2*u + 16 = 0, -22 = -4*b + 3*u. Suppose -b*g = 5*t - 47, -3*g = -3*t + 2*t - 2. What is the units digit of t?
7
Let t(x) = -x**2 + 14*x - 13. Suppose 0*r = r - 10. What is the units digit of t(r)?
7
Let d = -50 - -52. Suppose 2*j - 32 = -4*i - 0*j, 4*i - 12 = 3*j. Suppose -d*t = 5*q - 14, i = -0*q + 3*q. What is the units digit of t?
2
Suppose 6*w = 2*w + 20. Suppose w*v - 7 = 48. What is the units digit of v?
1
Suppose 3*f = -k - k + 137, 5*k - 3*f = 311. What is the tens digit of k?
6
Let p(y) = 2*y - 4. Let l be p(3). Suppose l*c = -2*c + 4. What is the units digit of c?
1
Suppose 0 = 3*l + 2*k - 413, -17*k - 16 = -21*k. What is the hundreds digit of l?
1
Suppose 5*j = 3*s - 22, j + 5*s = 2*j. Let b = -7 - j. What is the tens digit of 10 + 0 + b + 2?
1
Suppose 2*z = -46 - 106. Let n be z/(-18) - 4/18. What is the units digit of 2/n + 102/12?
9
Let t = -2 + 10. Let f(k) = k - 3. Let u be f(t). Suppose 5*v = 4*y - 4, -u*y = -3*y - 3*v. What is the units digit of y?
6
Suppose -r = -2*h - 12, -3 = r + 3*h - 2*h. Suppose 3*g = -2*m, -g = -0*m + r*m. What is the units digit of 3*1 - (-3 + g)?
6
Let i(w) = 19*w**2 - w - 1. What is the tens digit of i(-2)?
7
What is the units digit of (-2)/(-4)*-27*-2?
7
Let a(h) = h**3 + 6*h**2 - 7*h + 7. What is the units digit of a(-7)?
7
Suppose 4*a - 5 + 1 = -2*h, 4*a - 2*h + 4 = 0. Suppose a = -9*i + 4*i - 10. Let o = i + 6. What is the units digit of o?
4
Let o be (-1 - (2 + -26)) + 1. Suppose 0 = -5*z + 3*z + o. Suppose 3*g - 36 = -z. What is the units digit of g?
8
Let a be -115*(-4)/(-30)*-3. Suppose 2*u = a - 16. What is the units digit of u?
5
Let z(a) = -2*a - 2. Let d be z(8). Let o = -9 - d. What is the units digit of o?
9
Suppose -k - 30 = -4*k. What is the units digit of k?
0
Let a be (3/(-9))/((-1)/6). Suppose -3*i + 10 = -a. Let k = 15 - i. What is the tens digit of k?
1
Suppose -x + 97 = -0*w + 3*w, -2*w + 43 = 5*x. What is the tens digit of w?
3
Suppose 2*n + 3 = w + n, 0 = -3*w