2 - c. What is the units digit of r?
2
Let b = 7 - 5. Suppose 0 = b*g - 3*d - 5, -2*g + 0*g + 3 = -5*d. Let u = g + -3. What is the units digit of u?
1
Let r = -4 - -7. Suppose 5 = r*t - 2*t. What is the tens digit of -5*t*3/(-5)?
1
Suppose -5*n + 23 = 3*f, -15 + 5 = -3*n + 2*f. Suppose 0 = -3*o + n + 2. Suppose 3*p + o*c - 26 = -p, -2*c + 8 = p. What is the units digit of p?
6
Suppose 3*h - 2*h = 3*k + 31, 2*h - k = 52. Suppose t - 3*c - 6 = 0, -t - 2*t + h = -2*c. What is the units digit of t?
9
Let f(h) = -6*h**3 - 2*h - 1. Let a = -5 + 7. Suppose 2 = 2*y + 4*l, -4*l = -a*y - y - 7. What is the units digit of f(y)?
7
Suppose 2*b + 24 = -b. Let c(z) = -z - 3. Let h(x) = x + 4. Let u(j) = -2*c(j) - 3*h(j). What is the units digit of u(b)?
2
Suppose 0 = -4*k - 0*k + 160. What is the units digit of k?
0
Let y(o) be the first derivative of -o**5/60 + 11*o**4/24 - 2*o**3 + o**2/2 - 1. Let p(r) be the second derivative of y(r). What is the units digit of p(9)?
6
Let v(n) = -n**3 - 4*n**2 + 2. Let f be v(-2). Let t(s) = -3*s. Let m be t(f). Let j = m - 10. What is the units digit of j?
8
Let b = 3 + -1. Suppose 0 = -2*m - b*u + 14, 12 = 4*m + u - 7. What is the units digit of m?
4
Let d(l) = 19*l - 34. What is the units digit of d(6)?
0
Let o(t) = -t**3 - 18*t**2 - 19*t - 22. What is the units digit of o(-17)?
2
Let m = 2 + -2. Let x = 4 + m. What is the units digit of x?
4
Let u(v) = 5*v**2 + 6. What is the tens digit of u(-5)?
3
Let z(u) be the third derivative of u**4/24 + u**3 + 8*u**2. Let j = 20 + -10. What is the units digit of z(j)?
6
Suppose -j - 2*j = -18. What is the units digit of (-20)/(-15) + 106/j?
9
Let u be 4 + -5 + -1 + 0. Let b = u + 6. Suppose b*o - 2*q - 16 = 2*q, -4*o - 2*q + 4 = 0. What is the units digit of o?
2
Suppose c + 21 = 4*c. Suppose 5*s - 3*a - 69 = 0, -3*a + c = -s + 16. What is the units digit of s?
5
Let r = -126 - -213. What is the units digit of r?
7
Let c(y) = 7*y**3 + y**2 - y - 7. Let q(w) = -11*w**3 - w**2 + w + 10. Let l(u) = -7*c(u) - 5*q(u). What is the tens digit of l(2)?
4
Suppose 4*s - 129 = -1. Suppose 0*q = 4*q - s. What is the units digit of q?
8
Suppose 0*a - 13 = 2*j - a, -2*j + 5*a - 25 = 0. Let s(f) = -f**3 - 5*f**2 - 2*f - 4. What is the units digit of s(j)?
6
Let m = -105 - -181. What is the units digit of m?
6
Let d be 0/2 - (-3)/(-3). What is the units digit of (-6)/6*d*8?
8
Suppose 104 = -4*t + 632. What is the hundreds digit of t?
1
Let m = 2 - 2. Let q(w) = w - 1. Let d be q(6). Suppose 0 = -d*g + 20 - m. What is the units digit of g?
4
Let r(v) = 2*v**2 - 7*v + 4. Suppose w = -4*w. Suppose w = 5*s - s - 16. What is the units digit of r(s)?
8
Let q(b) = -13*b**2 + 17*b - 9. Let n(p) = -7*p**2 + 9*p - 5. Let x(j) = 11*n(j) - 6*q(j). What is the units digit of x(4)?
3
Suppose -3*o + 7*o = -3*c + 12, -c - 4 = 0. Suppose 5*z = -3*q + 21, -q - 3*z + 2 = -9. Suppose -3*f = -q*f - o. What is the units digit of f?
6
Suppose 5*f - 4*f - 5 = 0, -4*s - 4*f = -152. Suppose 0 = x + 4*h - s, -x + 3*h + 119 = 4*x. What is the tens digit of x?
2
Let m(i) = 213*i**2 + i + 2. What is the tens digit of m(-1)?
1
Suppose -5*j - 34 = -7*j. What is the units digit of j?
7
What is the tens digit of 93/((-4)/(-12)*3)?
9
Let d = 6 - 1. Let f = d + -4. Let h = f - -7. What is the units digit of h?
8
Let q(z) = -z - 7. Let n be q(-4). Let k = n + 4. What is the tens digit of ((-3)/k)/(-3) - -10?
1
Let j = -1 + 6. Suppose 0 = j*d + 3 - 43. Let g(v) = -v**2 + 7*v + 11. What is the units digit of g(d)?
3
Let y = 0 - -5. Suppose y*s - 4 = 1. What is the units digit of s?
1
Let o(n) = 4*n**2 + 6*n - 5. Let a be o(-5). Suppose 3*c - 2*p = 6*c - a, c = 3*p + 7. What is the tens digit of c?
1
Let b = 9 + -5. What is the units digit of b?
4
Let u = 215 - 119. What is the units digit of u?
6
Let r = 33 - 5. What is the tens digit of r?
2
Let b(z) = -6*z**3 - 5 + 4*z**3 + 8*z**2 + 0*z**3 + z**3 + 10*z. Let q be b(9). What is the units digit of (-87)/(-9) - q/6?
9
Let x(p) = -p**2 - 5*p - 4. Let r be x(-4). Suppose 3*c - 4*u - 127 = r, -4*u + 1 = 2*c - 117. Suppose 0 = -5*i + 46 + c. What is the units digit of i?
9
Let k(f) = -2*f + 28. What is the units digit of k(0)?
8
Let o(l) = -l**3 - 7*l**2 - 4*l + 4. Let g be o(-6). Let c = 11 + g. Suppose -r + a + 11 = r, 0 = c*r - 2*a - 16. What is the units digit of r?
6
Suppose -2*u + 55 = -51. Suppose 188 = 5*s + u. What is the tens digit of s?
2
Let m(f) = -f**3 - 3*f**2 + f - 5. Let c(o) be the first derivative of -o**3/3 - o**2/2 + 2*o - 3. Let g be c(2). What is the units digit of m(g)?
7
Suppose -5*d = 3*n - 52, 4*n = -d - d + 88. Suppose 2*b - n = 10. What is the tens digit of b?
1
Let a(f) = -3*f + f + 10 + f. What is the units digit of a(8)?
2
Let r(v) = v**2 + 7*v - 7. What is the tens digit of r(10)?
6
Suppose -21 - 215 = -2*c - 5*m, 0 = -5*m + 10. What is the tens digit of c?
1
What is the tens digit of (-3)/6*-2*37?
3
Suppose 5*o + 7*t + 3 = 5*t, -5*o = -3*t - 17. What is the units digit of o?
1
Let d(k) = -k + 247. What is the units digit of d(0)?
7
Let p(j) = 2*j + 6. Let u be p(-10). Let f = 24 + u. What is the units digit of f?
0
Let b be 1 - (-1)/(-1) - 0. What is the units digit of (-3)/(b/(-1) - 1)?
3
Let j(f) = f**2 - 18*f + 67. Let r be j(14). Suppose l + 0*l = 0. Suppose l*s = -s + r. What is the units digit of s?
1
Let j(w) = 10*w + 1 - 5*w - w**2 + 3*w. Let a = 7 - 0. What is the units digit of j(a)?
8
Suppose -8 = -3*g + o, 4*g + 2*o + 3*o = 17. Suppose 78 = g*n - 27. What is the tens digit of n?
3
Suppose -7*w + 4*w + m = -280, 0 = m - 5. What is the units digit of w?
5
Let f = -26 + 63. Suppose 5*n = i + f, 2*n - 11 = -i + 8. What is the units digit of n?
8
Let w = 90 + -44. What is the units digit of w?
6
What is the tens digit of ((-57)/2)/(-3 - (-9)/4)?
3
What is the tens digit of ((-6)/(-8))/(3/(-12)) + 68?
6
What is the units digit of (45 + 1)/(-1 - -3)?
3
Suppose 2*j - 8 = 2*b, -3*j + 12 = -2*j - 5*b. Suppose 0 = -0*y - j*y - 2. Let s = 0 - y. What is the units digit of s?
1
Let z(c) = -c**3 - 9*c**2 - 8*c - 9. Let d be z(-8). What is the units digit of (-6)/d*360/5?
8
Suppose -2*f - 1 - 1 = l, -3 = 3*l + 3*f. Suppose 2*i + i - 15 = l. What is the units digit of i?
5
Suppose -5*n + 2*u = -346, 3*u = -n + 50 + 9. What is the units digit of n?
8
Let w(i) = i**2 + 9*i + 10. Let o be w(-5). Let k(c) be the third derivative of -c**5/60 - 5*c**4/12 + c**3/6 - c**2. What is the units digit of k(o)?
1
Let d = 61 - -37. What is the units digit of d?
8
Suppose -31 = -t - n, -6*n - 35 = -t - 8*n. What is the tens digit of t?
2
Let x be (-12)/(-2 + -1) + -2. Suppose 3*u - 4*u = -x. Let j = u + -1. What is the units digit of j?
1
Let y = 13 + -13. Suppose 3*b - 5*b + 24 = y. What is the units digit of b?
2
Let b = 34 + 83. What is the hundreds digit of b?
1
What is the tens digit of (-225)/(-2) + (-30)/(-20)?
1
Let l = 127 - 89. Let j = l - 14. What is the tens digit of j?
2
Let g be 1 + (-2)/(4/(-2)). Suppose 3*f + f - 12 = 4*a, 18 = g*f + 4*a. What is the units digit of f?
5
Let l(z) = -z - 3. Let c be l(-5). Suppose c*r = -2*r + 4. What is the units digit of r?
1
Suppose -v + 4 = -2*u, 5*v + 2*u = -2*u + 34. What is the units digit of v?
6
Let z(l) = 2*l**2 + l + 2. Let i be z(-1). Suppose 4 + 2 = i*o. What is the units digit of o?
2
What is the hundreds digit of (-35 - -34)*(-288 + -1)?
2
Let k(z) = -z**3 + 15*z**2 - 12*z + 13. Let t = -12 + 26. What is the tens digit of k(t)?
4
Let b = -79 + 45. What is the units digit of (3 + -2 + -2)*b?
4
Let c be (-90)/(-6) + (-1)/1. Suppose -3*f - 15 = 0, 5*w = 2*f - 3*f - 45. Let n = c + w. What is the units digit of n?
6
Let b = 2 + 2. Suppose q = 5*t - 4*q - 10, t = b*q - 7. What is the units digit of t?
5
Let g(x) = 5*x**2 + 2*x + 3. What is the tens digit of g(-2)?
1
Let u = 4 + -6. Let w(x) = -4*x - 1. What is the units digit of w(u)?
7
Suppose -7*o + 4*o = -255. Suppose 0*b + o = 5*b. Suppose 2*h = h + b. What is the tens digit of h?
1
Let x(l) = -2*l**3 + l**2 + 5*l - 1. Let z be x(-4). Suppose 2*h - h - 30 = 2*m, 4*h - z = 5*m. What is the units digit of h?
2
Let k(t) = t**2 - 9*t - 7. Let m be k(-6). Let q = m + 10. Suppose g + 5*o + 21 = 54, -o + q = 5*g. What is the units digit of g?
8
Let c = 84 + -84.