22 + l. What is the units digit of w?
1
Suppose w - 2*a - 2*a - 51 = 0, -w = -3*a - 46. Suppose -r = 5*v - w, -5*r - 2*v + 9 + 123 = 0. What is the units digit of r?
6
Let b(l) be the second derivative of -l**5/20 + 3*l**4/2 + 3*l**3 + 23*l**2/2 - l. What is the units digit of b(19)?
4
Let o = 7 - 3. Suppose k + o*w = -1, 2*k = k - 3*w + 4. What is the tens digit of k?
1
Let a(o) = -2*o**2 - 14*o - 18. Let f(q) = -q**2 - 7*q - 9. Let y(v) = 4*a(v) - 9*f(v). Let i be y(-6). What is the units digit of 3 - 3 - (0 - i)?
3
Let a = 45 + -11. Suppose -2*r + 2*p + 22 = 0, -2*r + 0*r = 2*p - a. What is the units digit of r?
4
Let p(s) = -4*s + 6. Let l be p(5). Let b(z) = -4*z - 21. What is the units digit of b(l)?
5
Suppose a - 2 = -1. Let j be 3 - (2 - 0/(-1)). Let k = a + j. What is the units digit of k?
2
Let l = 31 + 1. What is the units digit of l?
2
Let i(u) = -u**2 + 7*u - 2. Let s(r) = -2*r**2 + 1. Let j be s(-1). Let k = j + 6. What is the units digit of i(k)?
8
What is the tens digit of 2504/48 - 2/12?
5
Suppose 0 = -b - 5*f + 25, b + 3*b - 3*f - 8 = 0. Suppose 0 = -5*g + b*h + 125, -g + 9 = -0*g - 5*h. What is the tens digit of g?
2
Let p = 237 - 123. Let k = -76 + p. What is the units digit of k?
8
What is the hundreds digit of 184 - 0/(2 + -3)?
1
Let q(n) = -n + 10. Let y be q(8). Suppose y*c = 2, -4*g - 20 = -g + c. Let r(d) = -3*d - 9. What is the tens digit of r(g)?
1
Let q(o) = o**2 + 4*o + 1. What is the units digit of q(-6)?
3
Let f = -4 - -6. What is the units digit of 14 + (-4 - -3) + f?
5
Let t(x) = -x**2 - 9*x. Let i be t(-9). Let c be 3/(-6)*-22 - i. Let m = c + 3. What is the tens digit of m?
1
Let v(t) be the second derivative of -5*t**3/6 - 17*t**2/2 + 8*t. What is the tens digit of v(-12)?
4
What is the units digit of 3/9 + 64/6?
1
Suppose i = -a - 6, -2*a = -5*i + 2*a - 30. Let v(h) = -h**2 - 6*h + 1. Let x be v(i). Suppose -x = 5*d - 46. What is the units digit of d?
9
Suppose 3*w + 2 = 14. Let s(a) = -a**3 - 3*a**2 + a - 3. Let z be s(-4). Let j = z + w. What is the units digit of j?
3
Suppose 45 + 5 = 5*p. What is the units digit of p?
0
Let i(l) = -l - 4 - l**2 + l**2 + 3 + 3*l**2. Let n be i(-1). Suppose 0 = m + n*m - 48. What is the units digit of m?
2
Suppose -s - 139 = -3*t, 3*t + 2*t - 245 = -s. What is the tens digit of t?
4
Let k = 175 - 110. Suppose -4*g = -4*o + o + k, -63 = -3*o + 3*g. What is the units digit of o?
9
Let n be (-2 - 40/(-12))*57. Let t = -52 + n. What is the units digit of t?
4
Let t = 5 + -5. Suppose t = 4*r - 7*r + 18. What is the units digit of r?
6
Let z(a) be the second derivative of -a**3/3 - 7*a**2 - 9*a. What is the units digit of z(-8)?
2
Let c = 6 - 2. What is the units digit of ((-2)/c)/(4/(-8))?
1
Let j = 109 + 56. Suppose j = -2*k + 7*k. Let p = k - 20. What is the units digit of p?
3
What is the tens digit of (-2 + 0)*53/(-2)?
5
Let w = -1 - 0. Let l(z) = 3*z**2. Let f be l(w). Suppose -f*h = -5*h + 22. What is the tens digit of h?
1
Let m(f) be the third derivative of f**7/840 + f**6/180 - f**3/6 - 2*f**2. Let h(d) be the first derivative of m(d). What is the units digit of h(-1)?
1
Let c be 1 + (0 + -2 - 2). What is the units digit of c/(-18) - 131/(-6)?
2
Let l = -10 - -14. Suppose 0 = -4*a + v - 10, -2*v = 3*a - 0*a + 2. What is the units digit of (l/6)/(a/(-18))?
6
Let m(p) = p**2 + 5*p - 7. Let u be m(-6). Suppose 0 = -4*r - 2*v + 28, -4*v + 3*v - 2 = 0. Let h = u + r. What is the units digit of h?
7
Let i(p) = 2*p**2 - 1. Suppose -4*n - 1 = -13. What is the tens digit of i(n)?
1
Suppose -3*o + 28 = -o + 2*i, -o = -3*i - 30. What is the tens digit of o?
1
Let n(y) = -y**2 + 8*y + 9. Let q be n(9). Suppose 0 = o - 5*j - 18, q = 2*o + 2*j - 7*j - 26. What is the units digit of o?
8
Suppose -18*u - 12 = -24*u. Let g(c) = 3*c**2 - 2*c**3 - 2*c + c**3 + c. What is the units digit of g(u)?
2
Let u(v) = 12*v - 52. What is the units digit of u(21)?
0
What is the units digit of -2*((-2124)/(-8))/(-9)?
9
Let k(f) = 3*f - 11. What is the tens digit of k(9)?
1
Let a(o) = o**2 + 4*o - 2. Let i be a(8). Suppose 4*h = i + 58. What is the units digit of -2 + 4/(8/h)?
7
Let o(d) = -d - 6. Let s be o(0). Let w(m) = -10*m + 2. Let v be w(s). What is the tens digit of v/6 + (-8)/(-12)?
1
Let i = 1 + 2. What is the units digit of 35/i + 4/(-6)?
1
Let s(v) = -47*v - 94. What is the units digit of s(-9)?
9
Suppose 7*h = 3*h + 24. Suppose 7*w - 6*w - 27 = 0. Suppose 3*r - h*r + w = 0. What is the units digit of r?
9
Let h = -78 + 155. What is the tens digit of h?
7
Suppose 0 = -4*t - 2*b + 24, t + 2*t = 2*b + 4. Suppose 0*i + i - 2*r = -16, 3*i = r - 68. What is the units digit of i/(-15) - t/(-10)?
2
Let a(o) be the second derivative of -o**5/20 + o**4/2 - 5*o**3/6 + 3*o**2/2 + 2*o. Let p be a(5). Suppose 1 = p*f - 17. What is the units digit of f?
6
Let s = 71 + -40. Let z = s - -22. What is the units digit of z?
3
Let y(s) be the third derivative of s**4/6 - s**3/6 - 2*s**2. Let n(h) = 3*h - 1. Let c(v) = -5*n(v) + 6*y(v). What is the units digit of c(1)?
8
Suppose 4*z = -4, 3*z = -4*t - 0*z + 157. Let o be (-1 - (-2)/3)*-75. Let r = t - o. What is the units digit of r?
5
Let o(r) = r**2 + 2*r. Let q be o(-2). Let y(u) = u + 1. Let a be y(1). Suppose c + 5*g = -q*g + 17, a*g - 4 = 0. What is the units digit of c?
7
Let q be 6/(-4) + 6/(-12). Let w be q/3 - (-22)/6. Suppose 23 = 5*v + w. What is the units digit of v?
4
Suppose -4*s - 426 = -3*y, 4*y = 3*s + 43 + 518. What is the tens digit of y?
3
Suppose 5*m - 52 = 193. What is the units digit of m?
9
Let x = 149 - 52. Suppose -4*j + c + x = 0, 0 = -j - 2*j - c + 64. What is the units digit of j?
3
Let r be 139 - -1*(1 - 2). Suppose -2*v - r = -5*v. What is the units digit of v?
6
Let x(i) = -i. Let t(j) = -5*j - 11. Let r(y) = t(y) - 4*x(y). Let s be r(-8). Let n = 5 + s. What is the units digit of n?
2
Let q(x) = -x**3 - x**2 + x + 17. Let y be (-1)/(-7) + 3/(-21). What is the tens digit of q(y)?
1
Suppose 0*t + 6 = 2*t. Suppose -4*a = 4*q - 16, -t*a + 2*q - 2 = -2*a. What is the units digit of a/(3*2/27)?
9
What is the tens digit of -40*((-14)/4 + 2)?
6
Suppose 2*s = -3*x - 3*s + 36, 24 = 3*x + s. Suppose 2*p = x - 3. Suppose 4*z - p*q = 12, 0 = 3*z + 5*q - 11 - 11. What is the units digit of z?
4
Suppose -4*f + 20 = -92. What is the units digit of f?
8
Suppose -78 = -2*w + i, 7*i = 3*w + 2*i - 103. What is the units digit of w?
1
Let m be ((3 - 2) + -33)/(-2). Suppose -r - m = -40. What is the units digit of r?
4
Let h = 1 + -4. Let x = h + 3. Suppose -3*g - n = -14, -g + x*g + n - 2 = 0. What is the units digit of g?
3
Let r(m) = m**2 + 3*m. Let b be r(-3). What is the tens digit of 14 + (0 - 2) + b?
1
Let w(m) = m**3 + 8*m**2 + 6*m - 3. Let o be w(-7). Suppose 0*f - 5*f + 20 = 0. Suppose 2 = 2*u, -o*u + 30 = f*h - 10. What is the units digit of h?
9
Suppose -35 - 31 = -2*k. Let m = 24 + -20. Suppose n + 24 = 2*n + m*t, -k = -3*n + t. What is the tens digit of n?
1
Suppose -5*t + 85 = 5*q, 6*q - 4*t - 86 = 3*q. What is the tens digit of q?
2
Let a(n) = -n**2 - 5*n + 3. Let c be a(-6). What is the tens digit of (120/28)/(c/(-21))?
3
Suppose -5*z + 0*z + 25 = -4*d, -5*d = z - 5. Suppose -j - 73 = -2*a, -a - 2*a + z*j + 113 = 0. What is the tens digit of a?
3
Let t be (1 + -2)*(-3 - 3). What is the units digit of 54/2 - (t - 4)?
5
Let a(j) = j**2 + 2*j + 1. Let n = 14 - 17. What is the units digit of a(n)?
4
Suppose 3*c = -2*c + 375. What is the units digit of c?
5
Suppose 5*m - 4*a = -56, -a + 26 + 9 = -3*m. Let x be ((-7)/21)/(2/m). Suppose -2*s + 4 = -3*d, 3*s - 9 = 2*d + x. What is the units digit of s?
5
What is the units digit of 15/(0 + 3) + -3?
2
Let a = 8 + -1. Suppose 0 = -a*b + 3*b + 128. What is the tens digit of b?
3
What is the units digit of ((-7)/(-4))/((-3)/(-12))?
7
Let n(p) = -2*p**3 - 9*p**2 - 5*p - 19. Let b(z) = -z**3 - 5*z**2 - 3*z - 10. Let t(v) = -7*b(v) + 4*n(v). What is the tens digit of t(-4)?
3
Let s(r) = 16*r + 3 + 2*r + r**2 + 1 - 27*r. What is the units digit of s(13)?
6
Let a = -11 - -17. Suppose 18 = a*z - 5*z. What is the tens digit of z?
1
Let r(k) be the second derivative of -k**5/20 - k**4/6 + k**2 + 2*k. Let c be r(-2). Suppose a + 15 = 4*g, c*g - 18 = -2*a + 2. What is the units digit of g?
5
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