- 1. Let h(m) = 7*c(m) + 3*z(m). What is the units digit of h(3)?
8
Let t = 119 + -78. What is the units digit of t?
1
Let l(d) = d**3 - 7*d**2 - 7*d - 7. Let r be l(8). Suppose -r = y - 17. Let b = 25 - y. What is the units digit of b?
9
Suppose r - 6 = -0*r. Let u(p) be the second derivative of p**5/20 - p**4/2 + p**3/6 + p**2 - 20*p. What is the units digit of u(r)?
8
Let g(y) be the second derivative of -y**4/12 - 2*y**3/3 + y**2/2 + 2*y. Let j be g(-4). Let m(a) = 6*a - 1. What is the units digit of m(j)?
5
Let f = -18 + 31. Suppose -4*j = -3*y - 29, f = -4*j - 5*y + 50. What is the units digit of j?
8
Suppose d + 0 = 4. Suppose 0 = n + 2 + d. Let q = 9 + n. What is the units digit of q?
3
Suppose 0 = -11*q + 9*q + 284. What is the hundreds digit of q?
1
Let i be (-92)/9 - (-4)/18. Let o = 26 - i. What is the tens digit of o?
3
Let k(l) = 5*l + 16. Let h(r) = -6*r - 17. Let i(m) = 4*h(m) + 5*k(m). Let j be i(-9). Suppose f + j*f - 8 = 0. What is the units digit of f?
2
Suppose 0 = -0*g - 2*g + 3*d + 11, 4*g = -3*d + 13. Let b = -2 + g. Let v = 7 - b. What is the units digit of v?
5
Let u be 1*(-2 + (-2)/(-1)). Let p be 4*(-3)/(u + -6). Suppose -p = -2*i + 6. What is the units digit of i?
4
Let z = 21 + -13. Suppose 0 = z*s - 4*s + 2*m - 12, -4*s + 24 = 5*m. What is the units digit of 1 - (-2 + s - 0)?
2
Let a = -6 - -8. Suppose 3 = -a*t - 1. Let o = 8 + t. What is the units digit of o?
6
Let y = 23 - 5. Let a be 1/(-2) - y/(-4). Let k = -2 + a. What is the units digit of k?
2
Suppose 0 = -7*o + 115 + 466. What is the units digit of o?
3
Let f(s) = 8*s - 11. What is the units digit of f(14)?
1
Let y(a) = a**3 - 4*a**2 - 8*a + 5. What is the units digit of y(6)?
9
Let k be 22 + -2 + 0/4. Let p = 6 + k. What is the tens digit of p?
2
Let l = 6 + -10. Let y(g) = -g**3 - 3*g**2 + 3*g - 3. What is the units digit of y(l)?
1
Let q be 6 - -5 - (1 + 0). Suppose 0*t - q = -w + t, 38 = 5*w - t. What is the units digit of w?
7
Suppose -4*q + 16 = -4*x, x = q + 2*x + 4. What is the units digit of 0 + 9/1 + q?
9
Let d(k) = -k**3 - 6*k**2 - 6*k - 5. Let p be d(-5). Suppose 6 = 2*s - p. Suppose 3*m + 5*i - 36 = 0, -12 = -s*m - i + 4*i. What is the units digit of m?
7
Let p(f) = f**2 + 6*f + 4. What is the units digit of p(5)?
9
Let g(i) be the second derivative of i**4/12 + i**3/6 + 13*i**2/2 - 2*i. What is the units digit of g(0)?
3
Let w be 1/(-2 - (-27)/15). Let x = 0 + w. What is the tens digit of 108/10 - 1/x?
1
Let u = 587 + -398. What is the hundreds digit of u?
1
Suppose -5*w + 45 = -0*w. What is the units digit of w?
9
Suppose -5*i + 5*t = -10, -5*i + 2*i + t = -6. What is the tens digit of 106/4 - (-1)/i?
2
Let u(y) be the third derivative of -y**6/120 - y**5/4 - 2*y**4/3 - 3*y**3/2 + 5*y**2. What is the units digit of u(-14)?
9
Let u = 44 - 13. What is the units digit of u?
1
Suppose -4*g + 2 = -2. Let b(w) = -2*w**2 + w. Let v be b(g). What is the units digit of (v/(-2) - 1)*-6?
3
What is the tens digit of 33 + 4 + -1 + -1?
3
Let p(x) = x**2 + 3*x. Let f be p(-6). Suppose 3*l + 12 = 3*u, -5*u + 14 = -3*l - 12. Let z = f - u. What is the tens digit of z?
1
Suppose 0 = -s - 2*s - 5*m - 43, -s + 4*m = -14. Let g(p) = -p + 8. What is the tens digit of g(s)?
1
Suppose 2 - 110 = -4*x. What is the units digit of x?
7
Let h = 2 + -5. Let a(v) = -v**3 - 2*v**2 + 2*v. What is the units digit of a(h)?
3
Let c = -6 - -6. Suppose 0 = -3*w + 6*w - 3*o - 57, 5*w + 3*o - 127 = c. Suppose 4*y = 1 + w. What is the units digit of y?
6
Let m(p) = 7*p**2 - 2*p - 1. Let a be m(-1). Let w = 6 + a. What is the tens digit of w?
1
Let f = -1 - 0. Let b(z) = -2*z + 5. Let s(p) = p - 2. Let t(i) = -6*b(i) - 15*s(i). What is the units digit of t(f)?
3
Suppose 0 = -3*u + 10 - 1. Let p(c) = -c**3 + 4*c**2 - c - 2. What is the units digit of p(u)?
4
Let q(j) = j**2 - 2*j + 2. Let b be q(7). Suppose 114 + 120 = 9*z. Let y = b - z. What is the units digit of y?
1
Let o(m) = -3*m**3 + 4*m**2 + 3*m. Let g be o(-2). Suppose h + 0 = -2*z + 2, 0 = 5*h + 4*z - g. What is the tens digit of h?
1
Let v be (-4)/(-6)*60/8. Suppose v*c + 52 = 3*u - 0*c, c - 40 = -5*u. What is the units digit of u?
9
Let m(y) = 31*y - 50. What is the hundreds digit of m(6)?
1
Let t be (-1)/1*3/(-1). Suppose 4*a - 5*x = -1, -x = -2*a - 2 + t. What is the units digit of -15*a*(-1)/3?
5
What is the tens digit of 2/3*(34 + -1)?
2
Let b be 5 - (-1 - -2 - 0). Suppose -8*y + 32 = -b*y. What is the units digit of y?
8
Let g = -1 - -1. Suppose -4*t + 32 + 12 = g. What is the tens digit of t?
1
Let l(z) be the first derivative of z**3/3 - z**2/2 + 19*z - 1. What is the units digit of l(0)?
9
What is the units digit of (-24)/36*822/(-4)?
7
Let d be (-1)/(0 - -1)*-4. Suppose 0 = d*q - 9*q. Suppose 0 = -s + o - 3, 3*s + 4*o = -q*o + 26. What is the units digit of s?
2
Suppose -228 - 292 = -4*f. What is the tens digit of f?
3
Let h = -35 - -93. Suppose -h = -5*b - 13. What is the units digit of b?
9
Let z = 128 + 222. What is the units digit of z?
0
Let r(t) = 32*t - 2. What is the tens digit of r(1)?
3
Let q(u) = -u**3 + 6*u**2 - 7*u + 3. Let l be q(5). Let i = -5 - l. Suppose -m - i*r = 4, -r - 4 + 0 = 0. What is the units digit of m?
4
Suppose 0*s = -4*s. Suppose s = p - 3 - 23. What is the units digit of p?
6
What is the units digit of 30 - 1 - 4 - -3?
8
Suppose -3*a + 25 = 4. Let r(s) = s - 8. Let x(w) = w - 1. Let d(f) = r(f) + x(f). What is the units digit of d(a)?
5
Let v(t) = 10*t + 5. Let b be v(-2). What is the units digit of 6/b + 282/30?
9
Let o be 4/18 + 1463/99. Suppose -23 = -2*u + o. What is the tens digit of u?
1
Let h = -2 - -69. Let y = h - 48. What is the tens digit of y?
1
Suppose -3*r = 3*i + 6, 4*r + 10 = -3*i - 0*i. Suppose i*x + c - 2 = 3*c, 3*x + 3*c - 33 = 0. What is the units digit of x?
6
Let w be (2 - (-3)/1)/1. Let g(p) = -p**3 - 2*p - 4 + 2*p + 5*p**2 + 2*p. What is the units digit of g(w)?
6
Let u(n) = 2*n**2 - 12*n + 39. What is the tens digit of u(10)?
1
Suppose -1 = 2*d + 3*m - 12, 2*d + 5*m = 13. What is the tens digit of 1 - (-3*d + 2)?
1
Let u(m) be the third derivative of m**5/60 + m**4/12 - m**3/2 - m**2. Let b = 59 + -56. What is the tens digit of u(b)?
1
Let k(j) = j**3 - 9*j**2 + j - 2. Let g be k(9). Suppose d + 3 = g. Suppose s = -s + d*q + 36, -4*q = 2*s + 4. What is the units digit of s?
8
Suppose -45 - 103 = -4*y. What is the tens digit of y?
3
What is the units digit of 8/(-10) + (-536)/(-20)?
6
What is the tens digit of (-3)/(-4) - 3/4 - -443?
4
Let h = -4 + 7. Suppose -h*c = 2*c - 70. What is the units digit of c?
4
Let x(t) = -4*t - 6. Let g be x(4). Let s be -2*(-2)/((-2)/3). Let i = s - g. What is the units digit of i?
6
Suppose 0 = 4*y - y - 216. What is the tens digit of y?
7
Let j = 25 - -65. What is the units digit of j?
0
Let c(r) = -r**2 + 7*r + 2. Let w be c(7). Suppose 0 = 3*d + 6, -x + 1 + 2 = -w*d. Let v(k) = -4*k. What is the units digit of v(x)?
4
Suppose 135 = 4*j + 3*k - 136, 4*j - 283 = k. What is the units digit of j?
0
Suppose 7*r - 550 = -221. What is the units digit of r?
7
Suppose -3*k + 26 = 10*k. What is the units digit of k?
2
Let m(t) = -3*t - 5. Let q be m(-3). Suppose 0 = -q*f + 2*f - h + 61, -23 = -f - 2*h. What is the tens digit of f?
3
Let l = 16 + -14. What is the tens digit of (0 - -4) + 22/l?
1
Let q(m) be the third derivative of -m**5/60 + 11*m**3/6 + 3*m**2. What is the units digit of q(0)?
1
Let n be (-4)/30*3*-5. Suppose n*r = -3 + 11. Suppose 4*f - 24 = r*a, -3*a = 3*f - 23 + 5. What is the units digit of f?
6
Let p = -43 + 125. What is the tens digit of p?
8
What is the tens digit of (-4)/(-40) + (-1258)/(-20)?
6
Let w(x) = x + 1. Let a = -5 - -14. What is the tens digit of w(a)?
1
Let m(b) = -b**3 - 2*b**2 + 3*b + 3. Let f be m(-3). Let p = f + 1. Suppose 4*o = p*g - 16 - 4, -o + 4 = 0. What is the units digit of g?
9
Let q = -16 + 16. Suppose 4*i - 3*y - y = 44, 4*y = q. What is the tens digit of i?
1
Let r = 37 + -7. Suppose 0 = -a, 5*j - r = a + 65. What is the tens digit of j?
1
Let p = -9 - -11. What is the units digit of (-222)/(-10) + p/(-10)?
2
Suppose 2*p + 3*p + 5*k = 1105, -2*k + 886 = 4*p. What is the hundreds digit of p?
2
Let f be (4/(-6))/(14/(-273)). Let r = 54 - f. What is the tens digit of r?
4
Let z(k)