18 - 1. What is the units digit of m?
7
Let t = 173 - 57. What is the units digit of t?
6
Let d be (-2)/3 + (-28)/(-6). Suppose -4 - d = c. What is the units digit of (36/c)/(3/(-4))?
6
Let l = 105 - 40. What is the units digit of l?
5
Suppose 0 = -0*m - 5*m - 15, -3*y - 3*m = 15. Let j be (2/8)/((-1)/4). What is the units digit of 27/6 + j/y?
5
Let n = -8 + 5. Let d be (-8)/n + (-6)/9. Let y(z) = -z**2 + 2*z + 1. What is the units digit of y(d)?
1
Let y(t) = t**2 + t - 4. Let n be y(6). Suppose 0 = 3*p - 2*p - n. Suppose -p = -4*a - 6. What is the units digit of a?
8
Let i(q) = -q**3 - 5*q**2 + 5*q - 4. Suppose 2 = 3*b + 20. Let f be i(b). What is the tens digit of f/(-6)*(1 - 46)?
1
Suppose -20 = -3*i - 4*g, -4*g = i + 4*i - 28. Let n(f) = f**2 - 4*f + 2. Let s be n(i). Suppose 2*a + s*a = 52. What is the units digit of a?
3
Suppose 2 + 6 = 4*b. Suppose -28 = -2*d + 2*k, -12 = -d - 0*d + b*k. What is the tens digit of d?
1
Suppose 5*o - 6*o + 7 = 0. Suppose -73 = -3*a - o. What is the tens digit of a?
2
Let s be 2/(3 + -2 - 0). Suppose -t - t = -w + 8, 5*w = -s*t + 40. Suppose -p - o = -9, -3*o + w - 21 = -5*p. What is the units digit of p?
5
Let b be (-1)/(-6) - (-33)/18. Suppose 3*t - 17 = 2*a, t - a = b*t - 4. What is the units digit of t?
5
Let p = -13 + 1. Let y be (6/4)/(9/p). Let x(m) = -m**3 - m**2 + 2*m + 3. What is the units digit of x(y)?
3
Suppose 5*g = -3*k + 7, 0 = 5*g + 4*k - 3*k - 9. Suppose 10 + 8 = g*w. Let s(r) = -r**3 + 10*r**2 - 8*r - 2. What is the units digit of s(w)?
7
Let q(o) = -o**2 + o. Let d(b) = 7*b**2 + b - 7. Let r(k) = -d(k) - 6*q(k). Let p be r(-8). What is the units digit of (-30)/(-8) + p/(-4)?
4
Suppose 0 = -3*u + f + 62, -2*f = 2*u - 7 - 21. Suppose 0 = 5*d - 5*w - 1 - u, w + 7 = 4*d. What is the units digit of 4 + d + 0 + 1?
6
Suppose 4*v + 7 = 83. Suppose 0 = a - v. What is the units digit of a?
9
Suppose 3*d + 2*d - 490 = 0. Suppose 3*q = -5*x + q + d, -3*x = 5*q - 55. What is the units digit of x?
0
Suppose -2*m - 72 = m. Let k = 45 + m. What is the units digit of k?
1
Suppose i - 2*d = 4*i + 11, -5*i - 3*d - 17 = 0. Suppose 0 = 2*r - 2*x + 2, 3*r = -3*x - 0*x + 27. Let m = r + i. What is the units digit of m?
3
Suppose -5*v + 5 = 0, -3*v - 2*v + 613 = 4*u. What is the units digit of u?
2
Let f(h) = -h + 9. Let d = -39 - -26. Let m = d + 20. What is the units digit of f(m)?
2
Suppose 102 = 3*h + 3*p, 2*h + 2 - 75 = -p. What is the tens digit of h?
3
Let y = -5 + 7. Let q(j) = 4*j + 2. Let d be q(y). Suppose -2*b + d = -b. What is the units digit of b?
0
Let k be 4/(-2)*14/4. Let p = k + 18. What is the units digit of p?
1
Let y = 42 + -23. Suppose -2*m + 5 = -y. What is the units digit of m?
2
Let z be (2 + -2 + 1)/(-1). Let l be ((-3)/5)/z*15. Suppose 4*p + l - 45 = 0. What is the units digit of p?
9
Let v(d) = d**2 + 3*d - 7. Let b be v(-5). What is the tens digit of (8 - b)/(2/6)?
1
Let x(o) = -5*o**2 - 51*o - 34. Let q(k) = -k**2 - 10*k - 7. Let n(i) = 11*q(i) - 2*x(i). Let t be n(-6). Suppose t*z - 5*z = -10. What is the units digit of z?
5
Let l(n) = -n**2 + 4*n. Let i be l(7). Let r = -15 - i. Suppose -r - 10 = -2*j. What is the units digit of j?
8
Suppose -2*q - 2*q = -4*v - 172, -5*v = 2*q - 58. What is the units digit of q?
9
Suppose 7 = h + 2. Suppose -f + 116 = 4*x - 3*f, 0 = 4*x + h*f - 102. What is the units digit of x?
8
Let o(m) be the third derivative of 7*m**5/15 - m**4/24 - 2*m**2. What is the tens digit of o(-1)?
2
What is the units digit of (-9)/(-6) + 124/8?
7
Let u(s) = -2*s + 3. What is the units digit of u(-6)?
5
Let h = 14 - 10. Suppose -2*v - 100 = -h*v. What is the units digit of 3/(-2)*v/(-15)?
5
Let r be 2/(-8) + (-2)/(-8). Suppose -g - 1 + 18 = r. What is the tens digit of g?
1
Let g = -23 - -113. What is the tens digit of g?
9
Let h(w) = 10*w**2 - 2*w - 1. Let k be 2/(-4) - (-18)/4. Let i(q) = -q**3 + 4*q**2 - q + 3. Let f be i(k). What is the units digit of h(f)?
1
Let t = 143 - 82. What is the tens digit of t?
6
Let k = 8 + 220. What is the tens digit of k?
2
What is the units digit of 2/4*-3*22*-2?
6
Suppose 12 = -3*f + 33. Suppose -o + f = -2. Suppose -p - o = -3*x, 9 + 0 = -3*p. What is the units digit of x?
2
Suppose 3*k - 2*w - 90 - 82 = 0, 2*w = -5*k + 276. What is the tens digit of k?
5
What is the units digit of ((-64)/((-16)/(-4)))/(-2)?
8
What is the tens digit of 2 - -1*82 - -2?
8
Let k(c) = c**3 - 13*c**2 + 16*c - 8. What is the units digit of k(12)?
0
Let f(l) = -24*l. What is the tens digit of f(-1)?
2
Let j(d) = -d**2 - 9*d - 4. Let l be j(-6). Suppose 2*n - 6 = l. What is the units digit of n?
0
Let s(k) be the second derivative of k**4/12 + k**3/3 + 2*k**2 + 2*k. What is the tens digit of s(3)?
1
Let z(w) = 2*w - 3. What is the tens digit of z(9)?
1
Suppose -y = -3*j - 396, -y = 5*j - 601 + 189. What is the units digit of y?
2
Let x be (-17)/((-1 + 2)*-1). Suppose 0 = -x*l + 14*l + 66. What is the tens digit of l?
2
Let v be 1*-1*-1*2. Suppose -3*s + v = -16. What is the tens digit of 22*(2 + (-9)/s)?
1
Let u = -11 - -18. Suppose 0 = -3*s - 25 + u. Let w(c) = c**3 + 6*c**2 - 2*c - 9. What is the units digit of w(s)?
3
Suppose v = 4*v - 21. Suppose 2*b - v - 3 = 0, -5*b = 4*o - 73. What is the tens digit of 158/o + 3/(-18)?
1
Suppose 2*a + 2*b - 36 = 0, a - 22 = -3*b - 2*b. What is the tens digit of a?
1
Let h(f) = -f**3 + 6*f**2 + 7*f + 9. Let b be h(7). Let v(i) = i**3 - 7*i**2 + 7*i - 3. Let d be v(6). Suppose 4*r = d*r + b. What is the units digit of r?
9
Let o(z) = 3*z**3 - 5*z**2 - 3*z - 5. What is the units digit of o(4)?
5
Let r(o) = o**2 - o + 3. What is the units digit of r(-5)?
3
Let h(s) = s**3 + 4*s**2 + s - 1. Let b be h(-3). Suppose -5*v - 102 + 27 = b*p, 2*v - 90 = 4*p. What is the units digit of 5/15*(1 - p)?
7
What is the units digit of (-3)/((-15)/(-95))*-1?
9
Let l(i) be the third derivative of -i**6/120 - 7*i**5/60 - 3*i**3/2 - 3*i**2. Let m be l(-7). What is the units digit of (-22)/(-3) + 3/m?
7
Suppose 4*l - 3*b = 8*l - 34, 3*l = b + 32. Suppose -i = -p + i + l, 3*p = 3*i + 15. Let j = 2 - p. What is the units digit of j?
2
Let a(t) = t**3 - 10*t**2 + 13*t + 3. What is the units digit of a(9)?
9
Let i = 4 - 8. Let y(r) = -3*r - 3. Let z be y(-2). What is the tens digit of i/(-6) + 28/z?
1
Suppose s + 213 = -3*d + 4*d, -1065 = -5*d + s. What is the hundreds digit of d?
2
Let p(o) be the first derivative of -o**2 + 7*o - 1. Let d be p(5). Let i(s) = s**3 + 5*s**2 + 3*s. What is the units digit of i(d)?
9
What is the units digit of 1/4 - 810/(-24)?
4
Suppose 4*k = -4*d - 0*k, -4*d + 4*k + 24 = 0. What is the tens digit of (-11)/(d/((-9)/3))?
1
Suppose 0 = -3*l + 4*x - 20, -2*l + 2*x - 6 = 4. Let s be (0 - l)/(5 - 7). What is the tens digit of (-2 + s)*13/(-2)?
1
Let q(v) = 4*v - 6. Suppose h - 8 = -h. What is the units digit of q(h)?
0
Let m(y) = y - 2*y - 2*y**2 + 0*y**2 + 3*y. Let j be m(4). What is the units digit of j/(-14) + (-4)/(-14)?
2
Let o be 3/9 + 39/(-9). Let x = o - -6. Suppose 2*q - x*n - 3*n = -23, 26 = q + 5*n. What is the units digit of q?
1
Suppose 5*m = -q - 16, q + 4*q + m - 16 = 0. Suppose 4*y + 1 = -q*c + 9, 2*y = -4*c + 8. Suppose -r + 0 = -c. What is the units digit of r?
2
Suppose 3*u + 2*g = 9, 4*u + 2*g = 4*g - 2. What is the units digit of u/4 - (-1287)/36?
6
Suppose 0 = -4*t + 5*r, -2*t - r - 6 = 8. Let d(g) be the third derivative of g**6/120 + g**5/15 - g**4/4 + g**3/6 + 3*g**2. What is the units digit of d(t)?
6
Let t be ((-1)/(-2))/(5/50). Suppose 5*n - t = 0, -2*q - 17 = -6*q - 5*n. Suppose 0 = 5*x - 4*b - 73, q*x - x = 5*b + 19. What is the units digit of x?
7
Let q(j) = -j. Let m(i) = 2*i - 3. Let v(o) = -m(o) - 3*q(o). Let y = -4 + 11. What is the tens digit of v(y)?
1
Let f(l) = -l**3 + 10*l**2 - 9*l. Let s be f(9). Suppose s*a - 39 = -a. What is the units digit of a?
9
Suppose -4*l = -5*f - 29, 4*l - 23 = l + 4*f. Let x = 10 + l. What is the tens digit of x?
1
Suppose 12*t - 192 = 9*t. What is the tens digit of t?
6
Suppose -18 - 4 = 2*k. Let h = -7 - k. Suppose 0*p + 8 = h*p. What is the units digit of p?
2
Suppose -k + 4*r = 13 - 2, r = -k - 1. Let s = 12 + k. What is the units digit of s?
9
Let q(j) = j**2 + 6*j + 1. Let y be q(-3). Let z(s) = s**2 + 7*s - 8. Let u be z(y). Suppose u*