
Let i = -111 + 201. What is the units digit of i?
0
Suppose -4*g - 4 = -l, 3*l + 28 = -4*g - 2*l. Let p = 2 + g. Suppose p = -2*c + 6 - 0. What is the units digit of c?
3
Let m = 496 - 281. What is the tens digit of m?
1
Let c(k) = -17*k + 59. What is the units digit of c(-6)?
1
Let g = 207 + -97. What is the tens digit of g?
1
Let b be (-3)/6 - 3/(-2). What is the units digit of 15 - (b - 4/(-2))?
2
Let i(w) = -w**2 + 9*w + 3. Let b be i(6). Let p be 64/(-24)*b/(-4). Let a = 21 - p. What is the units digit of a?
7
Let v be -2 + 1 + (0 - -4). Suppose 0 = 2*s - v*i + 1 - 7, i = 0. Suppose 24 = s*j - 0*j. What is the units digit of j?
8
Let c = -127 + 199. What is the tens digit of c?
7
Let g = 2 + -2. Suppose g*j - 65 = -5*j. What is the tens digit of j?
1
Let o(n) be the first derivative of -n**5/30 - n**4/24 + n**3/3 - 1. Let k(t) be the third derivative of o(t). What is the units digit of k(-1)?
3
Suppose 0 = o + 1 - 3. Suppose 0*p + 10 = o*p. What is the units digit of p?
5
Let u = -11 + 1. What is the units digit of (12/10)/((-2)/u)?
6
Suppose -2*k - 2*k - 8 = 0. Let q = k + 0. What is the units digit of (3 - (q + 2))*3?
9
Let b(o) = 8*o + 1. What is the units digit of b(6)?
9
Let r(u) be the third derivative of 2*u**2 - 1/2*u**3 - 1/6*u**4 + 0 + 0*u + 1/60*u**5. What is the units digit of r(5)?
2
Suppose t = -0 + 3. Let k(i) = -i**3 + 5*i**2 - 3*i + 4. What is the units digit of k(t)?
3
Suppose -4*p = -4*f - 52, -2*p = 5*f + 1 - 13. Let a(z) = -z**3 + 11*z**2 + 4*z - 6. What is the tens digit of a(p)?
3
Let m = 28 - 22. What is the units digit of m?
6
Let l be (2 - 1)*(-1)/(-1). What is the units digit of 6/(-9)*-12 + l?
9
Let o(g) = 2*g + 1. Let r(f) = -10*f - 6. Let q(h) = 14*o(h) + 3*r(h). Let y(u) = 2*u + 5. Let x(c) = 2*q(c) + 3*y(c). What is the units digit of x(5)?
7
Let x(i) = i - 7. Let v be x(9). Let g be 0 - (-2 + -2)/v. Suppose g*j - 34 = -2*u, 4*j + u = 9*j - 67. What is the tens digit of j?
1
Let w(v) = -v**2 + v. Let z(n) = -n**3 - 11*n**2 + 2*n - 2. Let t(l) = -4*w(l) + z(l). What is the tens digit of t(-7)?
1
Let s = 104 + -62. What is the tens digit of s?
4
Let c = 20 - -1. What is the tens digit of c?
2
Suppose q = -3 + 8. Suppose 5*s - q*l - 25 = 0, l + 8 = -l. Let g = s - -11. What is the units digit of g?
2
Let m be (3/(-2))/(9/(-24)). Let y(z) = z**2 - 2*z**2 + m*z**2. What is the units digit of y(-1)?
3
Let r = -12 - -8. Let i be 46*1 + (-8)/r. Suppose -4*p + 0*p + i = 0. What is the tens digit of p?
1
Suppose 5*n + 2 = -3. Let v(b) = -14*b**3 + b + 1. What is the tens digit of v(n)?
1
Suppose 6*v - 784 = 2*v + 4*s, 2*s = 5*v - 986. What is the tens digit of v?
9
Let v(x) = x**2 + 10*x + 3. Let j be v(-10). Suppose -3*s = 2*s + 5, 17 = 4*a + j*s. What is the units digit of a - -3 - 0/2?
8
Let u be 2/7 + 40/7. Suppose 0 = -3*d + u + 3. What is the units digit of d?
3
Let y(j) = 4*j + 5. Let x(a) = -12*a - 16. Let s(n) = 5*x(n) + 16*y(n). Let b be s(-1). Let p = 6 + b. What is the units digit of p?
2
Let r(q) = -q**3 - 2*q + 1. Suppose p = 3*p + 4. What is the units digit of r(p)?
3
What is the hundreds digit of ((-903)/(-14))/(2/12)?
3
Suppose -4*w - 9 + 105 = -2*r, -w + 46 = 5*r. What is the units digit of w?
6
Suppose r - 5*a = -4*r + 650, 0 = 5*r - 4*a - 654. What is the units digit of r?
4
Let m(i) = -i - 3. Let k be m(-5). Suppose k*f - 21 = -3. Suppose 21 = 5*p - f. What is the units digit of p?
6
Suppose 0 = 5*n - 3*d + 96, -5*n - 2*d = 3*d + 80. Suppose 45 = 4*q - 59. Let s = q + n. What is the units digit of s?
8
Let f(h) = h**3 + 7*h**2 - h - 1. What is the units digit of f(-7)?
6
Suppose 0 = u - 2 - 0. Let l(o) = o**2 - 1 + 2*o**2 + 4*o**2 + 10*o**u + 2*o. What is the units digit of l(1)?
8
Suppose 2*w + l = 88 - 10, 0 = -2*w + 5*l + 78. Let o = w - 15. What is the tens digit of o?
2
Suppose 0 = -4*n + n - 3. Let b = n - -5. What is the units digit of b?
4
Suppose -f - 3*g = -43, -6*f + 4*f + 76 = -4*g. Suppose 4*q - f = -0*q. Suppose -10 = -3*n - 2*w, 0*n - q = -2*n + 2*w. What is the units digit of n?
4
Let x(m) be the third derivative of -m**5/60 + 3*m**4/4 - 5*m**3/6 - 3*m**2. Let p be x(13). Suppose 0 = 2*f + 3*f - p. What is the tens digit of f?
1
Suppose -2*c = 4*m + m + 14, -2*c + 5*m - 14 = 0. Let q = c + 17. What is the units digit of q?
0
Let n = 149 + 21. What is the tens digit of n?
7
Let r(m) = m**3 - 5*m**2 - 5*m - 18. What is the tens digit of r(8)?
3
Suppose 4 + 220 = 4*x. What is the units digit of x?
6
Suppose -g = 7 - 1. Let a = g + 7. Let d = 8 - a. What is the units digit of d?
7
Let z = 137 + -90. What is the tens digit of z?
4
Let i = -44 - -76. Suppose 0 = 4*s - 0*s - i. What is the units digit of s?
8
Let a(m) be the third derivative of 0*m + 1/60*m**5 + 1/24*m**4 + m**2 - 1/6*m**3 + 0. What is the units digit of a(2)?
5
Let k(s) = -s - 9 + s - 2*s. What is the units digit of k(-7)?
5
Suppose 5*s = 3*s, -4*s = k - 45. Let z = 8 + -5. Suppose 0 = -3*g + z + k. What is the units digit of g?
6
Let m = -4 - -6. Suppose -4*g = 0, -3*v - v + m*g = -52. What is the units digit of v?
3
Suppose 0 = 5*d + 3*r - 190, 2*d + 3 = 2*r + 79. What is the tens digit of d?
3
Let v be (-5 + 1)*2/4. Let k = 29 + -19. Let z = v + k. What is the units digit of z?
8
Suppose -s = -5*p + 27, -5*s + 0*p - 4*p - 77 = 0. Let q = -7 - s. What is the units digit of q?
0
Let j(y) = -y**2 - 39*y - 21. What is the hundreds digit of j(-20)?
3
Let l(i) = 8*i**2 - 7*i. Let a be l(5). Suppose -5*r = -5*f + a, 2*f + 4*r - 38 = f. What is the tens digit of f?
3
Let k be 2/(-2*(-1)/(-11)). Suppose -3*r = -5*r - 2. Let z = r - k. What is the units digit of z?
0
Suppose -x + 6*x = 205. What is the tens digit of x?
4
Let p(k) = 10*k + 4. Let j be p(2). Let y(g) = g**2 - 3*g - 5. Let m be y(5). Suppose -x = -m*x + j. What is the units digit of x?
6
Suppose 5*r - 178 = 342. What is the units digit of 1/(r/34 - 3)?
7
Suppose 4*c - 23 = 25. Let l be (-164)/6 - (-4)/c. What is the units digit of 8/(-28) - l/21?
1
Let f(u) be the third derivative of u**5/20 - u**4/12 - 3*u**2. Let c(g) = g**3 - 5*g**2 - 7*g + 8. Let m be c(6). What is the units digit of f(m)?
8
Let c be (-4)/((-8)/10) + 3. Suppose h + 4*o - c = -22, 52 = -3*h - 2*o. Let g = h - -31. What is the units digit of g?
3
Let b = 1 + 6. Let v = 7 - 5. Suppose -b = v*z - 25. What is the units digit of z?
9
Suppose -9*m + 534 = -3*m. What is the tens digit of m?
8
Let u = 18 + -13. Suppose -u*i - 5*q - 33 = -q, 3*q = -i. Let y = 0 - i. What is the units digit of y?
9
Let d = 10 - 13. Suppose 5*i = -0*i - 20. Let j = d - i. What is the units digit of j?
1
Let j(q) = 2 + 3*q + 0 - 2*q + 10. What is the units digit of j(-9)?
3
Let v(g) = -g. Suppose -h + 4*u + 7 = 0, 4*u + 13 = -h - 4. Let w be v(h). Suppose -4*a = 3*i + 13, -w*i - a + 2*a + 9 = 0. What is the units digit of i?
1
Suppose -38 = -3*f + 5*g, -2*g + 0*g = -3*f + 26. Suppose -s - f = -3*s. Suppose -4*w + 11 = -s*w. What is the units digit of w?
1
Suppose 5 = -j - 0*j. Let t be -1*j/(5/4). Suppose -2*r + 21 = -3*d, t*d + 11 = -2*r - r. What is the units digit of r?
3
Let r(q) = 6*q - 6. Let l be r(4). Let t = l + -13. Suppose 2*k + t = 11. What is the units digit of k?
3
Let s = -32 + 50. Suppose -28 = -u - 5*k, 2 = 5*u + k - s. Suppose u*a = 29 - 5. What is the units digit of a?
8
What is the units digit of (10 - 12)*3/(-2)?
3
Suppose -5*l + 35 = 5*g, 3*l - 3*g = 2*g - 11. Suppose l*q - 25 = -w, 3*q + 0*w = w + 29. Suppose 14 = 4*c + 2*t - 16, 3*t = q. What is the units digit of c?
6
Suppose 0*t = -4*t + 20. Let y(a) = 2*a - 5. What is the units digit of y(t)?
5
Suppose -15*b = -19*b + 120. What is the units digit of b?
0
Suppose 0 = 3*o - 0*o - 108. What is the units digit of o?
6
Let f(w) = -w**3 + 5*w**2 - 4*w - 1. Let t be f(3). Suppose -20 = -t*x - 5. Suppose 5*a + 0*a - 27 = 4*l, 0 = x*a - 5*l - 11. What is the units digit of a?
7
Suppose 145 = 3*p + 40. What is the tens digit of p?
3
Suppose 4*i + 3*y + 11 = 30, -i = -4*y. Suppose -2*p - 2*p = 5*v - 27, -3*v = p - 12. Suppose 8 = -p*s - 5*u + 19, 0 = -4*u + i. What is the units digit of s?
2
Suppose -4*v + 52 = -y, -v + 142 + 126 = -4*y. Let d = 102 + y. What is the units digit of d?
4
Let n(v) be the first derivative of -5*v**3/3 + v**2/2 - 2*v - 1.