- 5. What is the units digit of w(-6)?
1
Let l(m) = m**2 + 16. Let i be l(0). Suppose 5*r - 2*v = 16, -4*r + 3*v - 6 = -i. Suppose 24 = 2*p - 3*c, -r*c - 9 - 37 = -5*p. What is the units digit of p?
6
Let f(v) = 7*v + 1. Let c be f(-1). What is the units digit of (-4)/c*21/2?
7
Suppose 4 = 4*v - k - 12, k = 0. Let z = v + 6. Suppose z + 0 = n. What is the units digit of n?
0
Suppose -6*z + 4*z = 6. Let g(c) = -c**3 + c - 1. What is the tens digit of g(z)?
2
What is the tens digit of (-35)/(-2) - (-4)/8?
1
What is the units digit of (-4190)/(-30) - 1/(-3)?
0
Suppose -u - 4*p + 12 = 0, 6*p - p = -2*u + 15. Suppose u = -q - q + 16. What is the units digit of q?
8
Let c(y) = 2*y + 10. Let s = -6 + 14. What is the tens digit of c(s)?
2
Let l = 2 + -4. Let b be 7/3 - l/(-6). Let d(r) = 2*r**2 - 2*r + 1. What is the units digit of d(b)?
5
Let i(d) = -d - 3. Let g be i(0). Let s(k) be the third derivative of -k**4/24 - k**3/3 + k**2. What is the units digit of s(g)?
1
Let m(q) = -31*q + 20. What is the units digit of m(-3)?
3
Let j(p) = -p**3 - 6*p**2 + 5*p - 5. Let w be (-1)/2 - (-26)/(-4). What is the units digit of j(w)?
9
What is the units digit of (-3)/15 + 271/5?
4
Let r be (-8)/52 - 89/13. Let b(i) = -2*i - 4. Let v be b(r). Let z = v - 1. What is the units digit of z?
9
Suppose 0 = 6*w - 2*w + 8. Suppose -3 = b - 2. What is the units digit of (w + 1*-7)*b?
9
Let o = 34 - 19. What is the units digit of 220/8*18/o?
3
Suppose -4*l + 88 = -2*t, 3*t + l = 2*t - 59. Let s = t + 96. Suppose 5*w = 2*w + 5*u + 22, -5*w + s = -3*u. What is the units digit of w?
9
Suppose -4*h - 4 = 4. Let n be (16/6)/(h/(-3)). Suppose 32 = 4*b + n. What is the units digit of b?
7
Let s(l) = 6*l - 1. Let q(o) = -11*o + 3. Let b(t) = -3*q(t) - 5*s(t). Let j be -1*2/6*-15. What is the tens digit of b(j)?
1
Suppose -4*g - 112 = -x, -5*x + 81 = -3*g + 14. Let d = -21 - g. What is the units digit of d?
8
What is the tens digit of (-222 + 1)/(-1) + 6/2?
2
Suppose 1 = 4*a + 4*x + 5, -a + 19 = 5*x. Let f(c) = c**3 + 5*c**2 - 8*c - 6. What is the units digit of f(a)?
6
Let m be (-1)/(-3) - (-66)/18. Suppose r - 4*s - 7 = -0*s, -3*s = -m*r + 80. What is the tens digit of r?
2
Let t(r) = 19*r - 9. What is the units digit of t(4)?
7
Suppose 0*c - c + 49 = 0. What is the units digit of c?
9
Suppose 4*s + 2*g - 8 = 0, 3*s + 3*g = 6 - 0. Let v be (6/(-9))/(s/(-3)). What is the units digit of (-5 - -3)/(v/(-4))?
8
Let w be 1*-36*(-2 + 1). Let q be 531/(-21) - (-2)/7. Let u = w + q. What is the tens digit of u?
1
Let u be (3 - 6)*(-86)/6. Let d = 70 - u. What is the tens digit of d?
2
Suppose -103 - 389 = -2*z. What is the hundreds digit of z?
2
Suppose -3*h + h = 0. Suppose -2*c - 17 + 7 = h. Let z(w) = w**2 + 5*w + 5. What is the units digit of z(c)?
5
Suppose 4*o = -3*p + 7, -2 + 6 = -o + 5*p. What is the units digit of o*-10*(-1)/2?
5
Suppose -3*o + 2*o = -2. Let m(l) = 6*l + 1. What is the units digit of m(o)?
3
Let p(s) = -s**3 + 3*s**2 - 3*s. Let l be p(2). Let f = 4 + l. What is the units digit of (0 - -2)*f*2?
8
Let l = -21 + 31. What is the units digit of l?
0
Suppose -2*u = 8*u - 1320. What is the units digit of u?
2
What is the units digit of (2/2)/(150/(-156) + 1)?
6
Suppose -5*w = -a + 2*a - 44, -4*w - 4*a + 48 = 0. What is the units digit of w?
8
Let y = -9 + 18. Suppose a - 5*c + 3 = 5*a, 5*c = 2*a - y. What is the units digit of a?
2
Let q(l) = 35*l**2 - l. What is the units digit of q(-1)?
6
Let c = 9 + -6. Let b = 3 - c. Suppose b = -5*p + p + 24. What is the units digit of p?
6
What is the tens digit of 2/(-6) + 182/6?
3
Let b(g) = g**3 - g**2 - 2*g - 3. Suppose h - 4*h = -9. What is the units digit of b(h)?
9
Suppose 0*q + 2 = 4*q - 2*c, 3*q = 4*c + 14. What is the units digit of 100/8 - q/4?
3
Suppose 34 = -6*v + 4*v. Let l be (v - -3)*(-6)/4. Suppose o = -2*o + l. What is the units digit of o?
7
What is the tens digit of (2 + -3)*(-9 - 33)?
4
Suppose 6*f - 162 = 4*f. What is the units digit of f?
1
Let o(r) = -2*r + 3. Let b be o(9). Let s = 32 + b. What is the tens digit of s?
1
What is the tens digit of 799/9 + 6 + (-4)/(-18)?
9
Suppose -4*l + 3*v + 1538 = 0, -5*l + 2*v + 859 + 1067 = 0. What is the units digit of l?
6
Suppose 0 = 2*h + 4*r - 624, 0*r = -h + 2*r + 320. What is the units digit of h?
6
Let p = -13 - -68. What is the units digit of p?
5
Suppose 0 = -3*m + 86 - 8. What is the tens digit of m?
2
What is the tens digit of ((-558)/(-12) - 6)*(-8)/(-6)?
5
Suppose j + 4 = 0, 16 = -2*u - 2*j - 2*j. Suppose u*i = 4*s + 2*i - 104, 4*i + 80 = 4*s. What is the tens digit of s?
2
Let x(s) = s**2 + 7*s + 3. Let l be x(-7). Suppose 4*m - 7*m + l = 0. What is the units digit of m?
1
Let i = 9 + -6. Let r = -3 + i. Suppose -2*x + 10 = -r*x. What is the units digit of x?
5
Suppose -2*n - 2*t = 3*t - 47, 134 = 5*n - 4*t. What is the units digit of n?
6
Let x(r) = -r - 1. What is the units digit of x(-2)?
1
Let z(f) be the third derivative of 0*f + 0 + 1/24*f**4 + 4*f**2 - 1/120*f**6 + 1/10*f**5 + 1/6*f**3. What is the units digit of z(6)?
7
Suppose -w + 3 = -o, 3*o + 0*o - w = -3. Suppose v - 85 = -4*m, 0*v + 3*v - 3 = o. What is the units digit of m?
1
Let l be (-2)/(-3)*(-5 + 8). Suppose -l*m + 4*s = -s - 76, 0 = -3*m - s + 97. What is the units digit of m?
3
Let p(i) = -i**2 + 11*i - 4. Let v(h) = -2*h**2 + 21*h - 7. Let r = -8 + 2. Let j(s) = r*v(s) + 11*p(s). What is the units digit of j(7)?
2
Let d(y) = y**2 - y**2 - y + 3*y - 3 + 2*y**2. Let t be d(-4). Suppose 2*a = 4*x + x + t, -4*a - 2*x = -30. What is the units digit of a?
8
Suppose 0 = -5*b + 146 + 34. What is the tens digit of b?
3
Suppose 4*p + 8 - 72 = 0. Let j = -10 + p. Let f = j + -2. What is the units digit of f?
4
Let x(c) = 3*c - 4. Let u be 3 - 0 - 0/2. Let m be x(u). Suppose -m*o + 7*o = 14. What is the units digit of o?
7
Let u be -2 - 1*-3 - 1. Suppose 48 - 4 = 4*k - 4*m, u = 3*m + 9. What is the units digit of k?
8
Suppose -4 = 3*y + 11. Let b(d) be the third derivative of -d**6/120 - d**5/10 - 7*d**4/24 - d**3 - 2*d**2. What is the units digit of b(y)?
4
Let r = -4 - -6. Suppose -r*q + 12 = q. Let x = q + -2. What is the units digit of x?
2
Let l(h) be the first derivative of h**4/4 + 7*h**3/3 + 4*h**2 + 5*h + 1. Let g = 6 - 11. What is the tens digit of l(g)?
1
Suppose 5*v - 90 = -0*v + 4*l, 2*v - 18 = -2*l. Let p = 21 - v. Let d(b) = b**2 - 5*b + 2. What is the units digit of d(p)?
6
Suppose 5*b - 294 = 186. What is the tens digit of b?
9
Suppose -2*v = 2*v - 12, 8 = -p + 2*v. Let t be (p + 1)*(-1 - -1). Let b(f) = -f + 12. What is the units digit of b(t)?
2
Let z = 86 - 82. What is the units digit of z?
4
Let m(z) be the third derivative of 0 + 1/8*z**4 + 0*z - 1/120*z**6 + 1/10*z**5 - 3*z**2 - 3/2*z**3. What is the units digit of m(6)?
9
Let f = -26 + 87. What is the tens digit of f?
6
Let y(l) = -l**3 - 4*l**2 + 5*l + 6. Let v be y(-5). Let f be (-2)/v - 129/(-9). Suppose -2*j + 6 = -f. What is the tens digit of j?
1
Let m = 19 + -16. What is the units digit of m?
3
Suppose -8 = -2*i + 22. What is the units digit of i?
5
Let r(t) = 2*t**2 - 2*t - 2. Let f be r(-2). Let o be ((-32)/f)/((-3)/15). Suppose -3*p + 4 = 2*w - o, 0 = p + w - 6. What is the units digit of p?
8
Suppose -5*r = -3*l - 224, r - 136 = -2*r + l. Suppose 4*b - 2*q - 80 - r = 0, -3*q + 9 = 0. What is the units digit of b?
3
Suppose -5*s - 4*x - 2 = 38, -2*s - 2*x - 18 = 0. Let h(v) = -v**2 - 6*v - 1. What is the units digit of h(s)?
7
Suppose -4 = -4*l + 4, 0 = -3*n + l + 682. What is the units digit of n?
8
Let o be 87/(-2)*(5 + -7). Suppose -f = -4*k + 81, 4*k - o = f - 2*f. What is the units digit of k?
1
Let y = -1 + 5. Suppose y*k - 5 = -k. What is the units digit of k/1*(-4 + 6)?
2
Let n(l) = -l**3 + 21*l**2 - 28*l + 22. What is the units digit of n(19)?
2
Suppose 4*j + 0 = 12. Suppose -j*a + 18 = n - 4*n, -5*n = 0. Suppose -4*y + a = -2*y. What is the units digit of y?
3
Let v(y) = 86*y**2 + y. What is the tens digit of v(1)?
8
Let i(w) = w + 4. Let q be i(6). Suppose 2*d - 22 = -d - 5*c, -q = -5*c. Suppose d*n + 12 = 60. What is the units digit of n?
2
Let z = -91 + 152. What is the tens digit of z?
6
Suppose -2*k + 2 = -k. Suppose 2*f - 2*j - 12 = 0, -k*f - j - 3*j + 6 = 0. What is the units digit of f?
5