t d = 1 + -1. Let y = j + d. What is the units digit of y?
1
Suppose i - 30 - 22 = 0. Let o = 91 - i. What is the units digit of o?
9
Let u be (-6)/(-10)*(34 + 1). Suppose -r = -5*x - u, -3*r - 2*r + 2*x + 36 = 0. What is the units digit of r?
6
Let p(z) = -5*z - 9. What is the tens digit of p(-8)?
3
Suppose 2*p + 34 = -0*p + 4*i, 41 = -4*p - i. Let o = p + 16. Suppose 5*x - b + 5*b + 3 = 0, -15 = -5*x + o*b. What is the units digit of x?
1
Let n(y) be the second derivative of y**4/12 + 5*y**3/3 + 2*y**2 - 4*y. What is the tens digit of n(-11)?
1
Let s = -7 - -6. Let k = -5 - s. What is the units digit of (0 + (-1)/k)*4?
1
Suppose 0 = -4*w - 4. Let d be (1 - w) + 0/6. What is the units digit of 66/8 + d/(-8)?
8
Let z = -220 + 365. What is the hundreds digit of z?
1
Let a = -3 + -1. Let i(g) = g**3 + 5*g**2 + 5*g + 1. Let m be i(a). Let n(x) = 2*x**2 + 5*x + 2. What is the units digit of n(m)?
5
Let f(p) = p - 5. Let w be f(9). Suppose 4*l - 62 = -3*s, 0 = -5*s + 4*l - w + 86. What is the units digit of s?
8
Let t = -74 + 73. Let a = 1 + 1. What is the units digit of -2 + t + (a - -2)?
1
Let t(l) = -4*l - 7. Suppose 9 = o + 5*j, 4*o + o - j + 33 = 0. What is the tens digit of t(o)?
1
What is the tens digit of (46/6)/(22/(-6) - -4)?
2
Let c = -63 - -176. What is the tens digit of c?
1
Let m(c) be the first derivative of c**4/4 - 7*c**3/3 - 3*c**2/2 + 7*c - 7. What is the units digit of m(8)?
7
Let y = 3 - -2. What is the units digit of (-4)/y*5/(-2)?
2
Suppose 0 = -4*o + 9*o. Suppose -2*i + 9 - 1 = o. Suppose -2*n - 4 = -0*z + 2*z, 32 = i*n - 4*z. What is the units digit of n?
3
Let m be 52/8 - 3/2. Suppose 3*h = -4*j - 26, -m*h - 5*j - 31 = 4. What is the units digit of 4*h/(1*-2)?
4
Let s(l) = -18*l**3 + l**2 + l. What is the units digit of s(-1)?
8
Let f be 0/(-4) + (-9)/(-3). Let y(m) = m + 1. What is the units digit of y(f)?
4
Let s = 119 + -37. Suppose -3*r + 14 = -s. What is the tens digit of r?
3
Suppose z = -4*d + 408, 2*d + d = -5*z + 306. What is the units digit of d?
2
Suppose -4*w - 4 = 2*k + w, 2 = -w. Suppose 10 = 2*v + 5*c, -6 - 2 = 3*v - 4*c. Let q = k - v. What is the units digit of q?
3
Let t(r) = -25*r**3 - r - 1. Let c be t(-1). Let j = -18 + c. What is the units digit of j?
7
Let n(m) = m**3 + 5*m**2 - m + 4. Let p be n(-5). Suppose -4*y - 95 = -p*y. What is the units digit of y?
9
Suppose -4*r = -0*r - 48. Let w = 1 + r. What is the units digit of w?
3
Let t(k) = k**2 + 6*k - 5. Let c be t(-7). Suppose c*h - 7 - 25 = 0. What is the tens digit of h?
1
Let d = -4 - -2. Let b be (d/(-4) - 0)*4. Let y = b + 0. What is the units digit of y?
2
What is the units digit of (0 - 1)/(-3 + 532/178)?
9
Let n(q) = -2*q**3 - 29*q**2 - 21*q - 9. What is the units digit of n(-14)?
9
Suppose -4*j + 11 + 5 = 0. Let z(l) = j*l + 4 - 2*l**2 + 0*l - l - l**3. What is the units digit of z(-3)?
4
Let x be (-1)/(((-7)/(-2))/(-7)). What is the units digit of ((-366)/(-12))/(x/4)?
1
Let b be 4/5*(-10)/(-2). Suppose f + 33 = -3*f - d, -5*f - 55 = b*d. Let i = -3 - f. What is the units digit of i?
4
Let j(w) = -7*w + 6. What is the units digit of j(-8)?
2
Suppose -2*i - 33 = -95. Suppose 0 = 3*k - 20 - i. What is the units digit of k?
7
Let r(n) be the third derivative of n**6/240 + n**5/120 + n**4/8 - n**2. Let b(g) be the second derivative of r(g). What is the units digit of b(2)?
7
Let r = -12 - -15. What is the units digit of r?
3
Suppose 5*p = -20, -s - 3*p - 12 = -4*s. Let m(d) = -20*d - 21. Let b(q) = -7*q - 7. Let t(r) = 17*b(r) - 6*m(r). What is the units digit of t(s)?
7
Let u(y) = -y**2 + 4*y + 3. Let w be (-12)/20 - (-69)/15. Let g be u(w). Suppose -17 = -4*q - 3*k, -g*q - 4 = -5*k + 5. What is the units digit of q?
2
Suppose 3*l + 9 = -2*n, -2*n + 15 = -5*l - 0*n. Let f = 3 + l. What is the units digit of 1 - (-1 - f)*1?
2
Suppose 4*z - 62 - 50 = 0. What is the tens digit of (24/z)/((-1)/(-21))?
1
Suppose 10 = g + 4*g. Let x be (7 - 0)/(g - 1). Let u = x - -2. What is the units digit of u?
9
Suppose -2*h - 16 = u, -2*u - 3*u + 10 = 0. Let o(q) = -q**2 - 9*q + 12. What is the tens digit of o(h)?
1
Let i(y) = y**3 - 1 - 2 + 4 + 3*y**2. Let n be i(-2). Suppose g = -2*g - 2*x + 7, 3*x - 1 = n*g. What is the units digit of g?
1
Suppose -3*j - 2 = t - 9, 6 = 4*j + 2*t. Let k be -1 + 2 - 4/j. Suppose k = -b + 6 + 15. What is the tens digit of b?
2
Let n be 24/(-9) + (-1)/3. Let j(t) = -9*t - 6. What is the tens digit of j(n)?
2
What is the units digit of 20/30 - (-146)/6?
5
Let q be (-371)/(-21) - (-1)/3. Let p be (-126)/(-4) - (-2)/4. Suppose p = 5*c - q. What is the units digit of c?
0
Suppose -12 = -5*r + r. Suppose -r*g - 2*g = -240. Suppose 0 = -c - 3*c + g. What is the tens digit of c?
1
Suppose -143 = -4*i - 55. What is the tens digit of i?
2
Suppose 10*b = 5*b. Suppose -3*a + 7*a - 40 = b. What is the tens digit of a?
1
Suppose -5*z - 2*t = -490, z + 3*z - 2*t - 410 = 0. What is the hundreds digit of z?
1
Let v = -36 + 47. What is the units digit of v?
1
Suppose -8*f + 4 = -7*f. Suppose 2*m - t - 15 = -6*t, t + 41 = f*m. What is the units digit of m?
0
Suppose -4*p + 96 = -28. What is the tens digit of p?
3
Let v = 93 + -145. Let b = -20 - v. What is the units digit of b?
2
Suppose 4 = 5*u - 6. Suppose -2*l - 5*a = -10, -u*a = 4*l - a - 38. What is the units digit of l?
0
Suppose -2*p + 42 = 3*o, 5*p - 2*p = -o + 14. What is the tens digit of o?
1
Let y be ((-4)/(-3))/(4/6). Suppose 0 = b - y*b + 8. What is the units digit of b?
8
Suppose -4*h - 24 = -2*i, 0*i = 4*i + h - 3. Let g = i - 1. What is the units digit of g?
1
Let g = 11 + -16. Let q(l) = -3*l**3 + l**2 - l + 1. Let n be q(1). Let u = n - g. What is the units digit of u?
3
Let k be ((-50)/8 - 0)*-12. Let u = -50 + k. What is the tens digit of u?
2
Let l(x) = x**2 + 31. Suppose 3*y - 2*g = -4, 4*y + 1 = g - 1. What is the tens digit of l(y)?
3
What is the tens digit of (-30)/75 - (-394)/10?
3
Suppose -6*h + 7*h = 5*b - 459, h = 2*b - 186. What is the tens digit of b?
9
Let h(u) be the first derivative of -u**4/4 - 5*u**3/3 + 9*u**2/2 - 4*u + 3. What is the units digit of h(-7)?
1
Let x(i) be the third derivative of -i**4/24 - 5*i**3/3 - i**2. Let f be x(-8). What is the tens digit of ((-16)/f)/((-2)/(-4))?
1
Let t(r) = -r**3 + 8*r**2 + 4*r + 5. What is the tens digit of t(8)?
3
Let p(f) = -f**3 - 2*f**2 + f. Let v be p(1). Let b be 3 + (-1)/(v/(-2)). Suppose -5*s + 7 = 2*l - 11, -3*s + b*l + 14 = 0. What is the units digit of s?
4
Suppose -3*d + 20 = -10. Let a be 8/(d/4 + -2). Let q = a + -10. What is the units digit of q?
6
Let g(q) be the second derivative of 0 + q**2 + 2*q + 1/6*q**3. What is the units digit of g(0)?
2
Let y(s) = -8*s + 1. Let c(v) = -15*v + 6 + 0 - 4. Let z(i) = -6*c(i) + 11*y(i). What is the units digit of z(1)?
1
Let d = 271 + -65. What is the hundreds digit of d?
2
Suppose -g = -0*y + 2*y - 2, 0 = 4*y + 3*g. Suppose a = -y*a + 60. What is the tens digit of a?
1
Let s = -61 + 139. What is the units digit of s?
8
Let u(d) = 1 + 2 - 4 + 13*d - d**2 + 3. What is the units digit of u(11)?
4
Let n = -14 - -16. Suppose 10 = -3*g + 5*p, 4*g - n*p - 7 = 3. What is the units digit of g?
5
Let w be (-4)/6 - (-66)/(-9). Let f = -6 - w. What is the units digit of (13/(-3) + f)*-3?
7
Suppose 4*l = z - 95, -4*z + 133 + 223 = -4*l. What is the tens digit of z?
8
Suppose 0 = -3*l - r + 134, -3*r = 5*l - 2*l - 138. Let v be 1 + 1 + l - -2. Suppose -3*q - v = -7*q. What is the units digit of q?
2
Let f(u) be the third derivative of -2*u**2 + 2*u**3 + 0 + 0*u - 1/24*u**4. What is the units digit of f(5)?
7
Let d(i) = 2*i**2 - 9*i - 2. What is the units digit of d(7)?
3
Let r be (8 + -2)/((-3)/(-2)). Suppose 34 - 14 = r*i. What is the units digit of i?
5
Let s(r) = -6*r**3 + 2*r**2 + 3*r. What is the units digit of s(-2)?
0
Let w(i) = 7*i + 1. Let x be w(1). Suppose -5*b = 2*g - 40, 4*b + 4*g - x = 3*b. Suppose 10 = -2*u, -4*f = -b*f + 4*u + 32. What is the units digit of f?
3
Suppose 3*u + u - 55 = 3*f, 5*u = -3*f + 35. What is the tens digit of u?
1
Let j(d) = 4*d + 38. What is the units digit of j(-8)?
6
Let v(w) = -2*w**2. Let c be v(-3). Let f be 411/27 + 4/c. Suppose h = -3*p + 4*h + f, -2*h = -4*p + 24. What is the units digit of p?
7
Suppose 3*g = 4*g - 12. Wha