se 3*m = -5*h + 48 - 17, -2*h = -m - 8. Suppose j = 4*l + 5*t + 8, m*l + 4*t = -t - 14. What is the units digit of l?
3
Let t(j) be the first derivative of j**4/4 + j**3 - 2*j**2 + 2*j - 3. Let w be t(-4). Suppose 7 = w*p - p. What is the units digit of p?
7
Let o(r) = -11*r**2 - 7*r + 15. Let n(h) = 5*h**2 + 3*h - 8. Let b(m) = -9*n(m) - 4*o(m). Let x be b(0). Let l = x - 1. What is the units digit of l?
1
Suppose 5*n - 17 = -7. Suppose -5*x = -3 - n. Let r = 14 - x. What is the tens digit of r?
1
Let j be (-1 + 0)/(2/(-8)). Let q = 14 - -7. Suppose 0 = -j*h + q + 3. What is the units digit of h?
6
Suppose -4*g + 3 = -21. Let s be 4/g - 10/(-3). Suppose 2*j = -3*i + 26, -4*i - i = -s*j + 8. What is the units digit of j?
7
Suppose 4*c = -4*o + 460, -4*c + 36 = -4*o + 472. Let t = o + -80. Suppose 4*v + k - 24 = 19, t = v - 4*k. What is the tens digit of v?
1
Let p(c) = -11*c + 1. Let z be p(-3). Suppose z = a + a. What is the tens digit of a?
1
What is the units digit of (-3)/1*(-220)/15?
4
Let o(f) = -6*f - 1. Let s be o(-1). Suppose -5*t - s*b = -30, 10*b - 12 = -2*t + 5*b. What is the units digit of t?
6
Let l be (5/2)/(-5)*-16. Let s = 10 - l. Suppose 0 = 3*h + s*h - 90. What is the tens digit of h?
1
Let g(w) = -3*w - 9. Let s(k) be the third derivative of -k**6/120 + k**5/20 - k**4/8 + k**3/2 + 3*k**2. Let t be s(3). What is the units digit of g(t)?
9
Let j(c) = -c + 1. Let h = -3 - 2. Let q = 5 + h. What is the units digit of j(q)?
1
Let i = 0 - -4. Suppose i*s + 2*h - 11 - 11 = 0, -h - 29 = -3*s. What is the units digit of s?
8
Let c be (-2)/((3/2)/(-3)). Suppose 28 = c*b - 4*z, -9 = -4*b + 2*z + 11. What is the units digit of b?
3
Suppose 0 = 3*z - 21 + 81. Let d be (2*1)/(8/z). Let s = d + 16. What is the units digit of s?
1
Let f be (12/(-10))/((-12)/990). Suppose -f = 2*r - 5*r. What is the units digit of r?
3
Suppose -i - 3*t = -t - 209, 5*i + 4*t - 1069 = 0. What is the tens digit of i?
1
Suppose -5*m + 3*w = -1633, 0 = -5*m + 2*w + 134 + 1498. What is the units digit of m?
6
Suppose 4 = 2*z + 5*c - 10, 4*z - 4*c - 56 = 0. Let h be 64/z - (-1)/(-3). Suppose 0 = n + 2*n - 3*p - 27, h*p + 41 = 4*n. What is the units digit of n?
4
Suppose -2*y + y = 5*c + 15, 0 = -3*y. What is the tens digit of (c - 1)*(-4 - 4)?
3
Let a = 7 + -6. Let t = a + 7. What is the units digit of t?
8
Let g be 1/7 - (-405)/105. Let u be 2/(3/(78/4)). Suppose -53 + u = -g*c. What is the units digit of c?
0
Let m(k) = k**3 + 17*k**2 + 13*k - 11. What is the tens digit of m(-16)?
3
Let q(v) = -v**3 - 10*v**2 + v + 13. Let u be q(-10). Suppose u*y + y = 8. What is the units digit of y?
2
Suppose 5*f + 5*s - 1415 = 0, 4*f + 5*s = f + 851. What is the hundreds digit of f?
2
What is the units digit of (-2)/(-13) + 252/52?
5
Suppose 2*w = 6*w - 4. Suppose w = -c + 6. Suppose c*t - 59 = 21. What is the units digit of t?
6
Suppose 0*r = 4*r - 16. Suppose -3*c + v + 119 = -r*v, 2*v = -c + 47. What is the units digit of c?
3
Suppose 128 = 2*r - 2*v, -6*v + 49 = r - 2*v. What is the units digit of r?
1
Let y = 46 + -24. Suppose -y = 4*d - 5*d. What is the units digit of d?
2
Let c(j) = 2*j + 29. What is the units digit of c(20)?
9
Suppose 0 = -3*o + 6, c = 2*o + 14 + 80. What is the units digit of c?
8
Let x(w) be the first derivative of -w**3/3 - 5*w**2 - 3*w + 1. Let z be (3 - 15/6)/(1/(-18)). What is the units digit of x(z)?
6
Suppose 3*o + 0*o = -5*d + 432, -88 = -d - o. What is the units digit of d?
4
Let r = 84 + -43. What is the tens digit of r?
4
Suppose -4*m - 168 = 4*z, -288 = 5*m + 3*z - 86. What is the units digit of (27/(-6) + 3)*m?
7
Let z = 0 - -1. Let o be z/(1 - 8/10). Suppose o*j - 25 - 10 = 0. What is the units digit of j?
7
Let d(h) = -h**3 + 11*h**2 - h + 13. Let t be d(11). Let m(u) = u**3 - 2*u**2 + 2*u - 3. What is the units digit of m(t)?
1
What is the units digit of (27/6)/(4/24)?
7
Let m(h) = 7*h - h**3 + 8 + 0 + 0 + 1 + 7*h**2. What is the units digit of m(8)?
1
Let k(s) = 7*s**2 - s + 2. Let m(h) = -h**2 - h + 2. Let w be m(0). What is the tens digit of k(w)?
2
Suppose -g - 5 = j - 19, 0 = 3*j + 2*g - 40. Suppose -q + j = 3. What is the units digit of q?
9
Suppose 0*v - 18 = -3*v. Suppose 2*y + 2*a = 66, -2*y - 2*a + v*a = -36. Suppose k + 2*k + 3*z = 30, -2*k + y = -2*z. What is the tens digit of k?
1
Suppose 0 = -4*m + v + 8, 3*m + 5*v = -0*m + 29. Suppose -2*x + 8 = p + 21, m*x = -p - 21. What is the units digit of (-6)/4*x/6?
2
Let h(i) = -i**3 - 10*i**2 + 10*i + 6. Let f be (22/6)/(9/(-27)). What is the units digit of h(f)?
7
Suppose -2*z - 2 = -42. Suppose -40 = 3*u - 5*c, -u - 2*u - 5*c = 20. Let i = z + u. What is the units digit of i?
0
Let n = -4 + 6. What is the units digit of 0 + n - 5 - -5?
2
Let w(s) = -s**2 + s + 6. Let a be w(3). Suppose a = 5*d - d - 192. What is the units digit of d?
8
Let g = 3 + -6. Suppose -18*m + 23*m + 10 = 0. Let x = m - g. What is the units digit of x?
1
Suppose -m + 0*z = 2*z - 6, -2*z - 66 = -5*m. Suppose 4*r - m = 8. What is the units digit of r?
5
Suppose -2*x + f = -f - 24, 2*f = -3*x + 11. Let q be 3/6*(x - 1). Suppose q*a = -5*m + 30 + 7, 5*a - 4*m = 0. What is the units digit of a?
4
Let i(y) = 4*y - 3. Let k be i(3). Let m = 16 - k. What is the units digit of m?
7
Let i(j) = j**3 + 6*j**2 + 4*j + 5. What is the units digit of i(-5)?
0
Let j be 1 - (-3 + 6) - -2. Suppose j*k + 5*k - 180 = 0. Suppose 3*i + k = 5*i. What is the units digit of i?
8
Let u(h) = 24*h + 17. Let r(b) = -8*b - 6. Let s(p) = -8*r(p) - 3*u(p). Let w be (-2)/4 + (-6)/4. What is the tens digit of s(w)?
1
Let g(u) = 36*u**2 - u + 1. What is the tens digit of g(1)?
3
Suppose 14 = 2*n + 74. Let p be 1*(3 - 2 - n). Let j = p + -21. What is the units digit of j?
0
Let u(i) be the second derivative of -i**5/20 + i**3/6 + 13*i**2/2 - 2*i. What is the tens digit of u(0)?
1
Suppose h = -4*d + 41, -d - 226 = -5*h - 0*d. Let t = -16 + h. What is the tens digit of t?
2
Suppose 4*y + 8 = 0, 3*w - y = 4*y + 94. What is the tens digit of w?
2
Let o(a) = -a**2 - 11*a + 10. Let v be o(-10). Suppose -4*x + v + 20 = 0. What is the tens digit of x?
1
Let m(k) = -2*k - 3. Let t be (-2)/(-5) + (-69)/(-15). Suppose -30 = 5*i - t. What is the units digit of m(i)?
7
Suppose 3*v - 19 = -u, 0 = 2*u + 2*u - v - 11. Suppose 0 = -c - u + 16. What is the tens digit of c?
1
Suppose -2*k + 7*k = 10, -4*u = k + 30. Let v = 12 + u. Suppose 5*j - o + 4*o = 21, -v*o = 12. What is the units digit of j?
6
Let k(x) = 29*x**3 + 2*x**2 - 2*x + 1. What is the tens digit of k(1)?
3
Let w = 11 - 17. Let h(r) = r**3 + 8*r**2 + 10*r + 7. What is the units digit of h(w)?
9
Suppose -3*j + 114 = -6. What is the tens digit of j?
4
Suppose -5*u = -127 + 32. What is the units digit of u?
9
Let d(q) = 3*q**2 + 0*q**2 + 2*q + q**2 - 1. What is the tens digit of d(-2)?
1
Let x = -44 + 196. What is the tens digit of x?
5
Let f = -8 + 6. Let g = -2 - f. Suppose g = -4*c + 18 + 14. What is the units digit of c?
8
Let s(b) = 6*b**3 - b**2 - b. Let w be s(-1). Let x = -14 - w. What is the units digit of x*(-1 + 2)/(-1)?
8
Let d = -242 + 401. What is the hundreds digit of d?
1
Suppose -4*u = -2*u - 3*m - 34, 8 = 4*m. What is the tens digit of u?
2
Suppose 4*i - 5*i + 28 = 0. What is the tens digit of i?
2
Let z(a) = a**2 - 3*a - 3. Let y be z(4). Let v be 1/y*2/(-2). What is the units digit of (-6)/2*v/3?
1
Suppose -2*s + 4*s - 118 = -4*x, 4*x - 20 = 0. What is the units digit of s?
9
What is the units digit of 518/28 - (-1)/2?
9
Let c = 10 + -26. Let y = 31 + c. Let s = 24 - y. What is the units digit of s?
9
Suppose -2*i + 48 = 2*i - 3*k, -4*k + 46 = 2*i. Let f = -8 + i. What is the units digit of f?
7
What is the tens digit of 2 + (42 - -3) + 1 + 2?
5
Suppose -832 - 452 = -6*c. What is the tens digit of c?
1
Suppose -68 + 4 = 4*x. Let m be x/(-6) + 2/6. Suppose 0 = m*j - 10 + 1. What is the units digit of j?
3
What is the tens digit of 3/(-7 - -1)*-66?
3
Let r(f) = f**2 + f + 5. Suppose -6*q = -2*q. Let k be r(q). Let w = -3 + k. What is the units digit of w?
2
Let q be ((2 - 0) + -1)*32. Suppose -q = -2*z + m + m, 0 = -3*m + 3. What is the units digit of z?
7
Let m be 5 - (2 + 2 + -2). Let z be (-34)/(-5) - 1/(-5). Suppose -z*c = -m*c - 36. What is the units digit of c?
9
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