- 3 = -q + 1. What is the units digit of f?
3
What is the tens digit of 5/((-15)/(-291)) + 4?
0
Suppose 9 = 2*a + 5*c - 7, 5*a = 3*c + 9. Let j(x) = -1 - 2 + 1 + 7*x**2 - 4 - x + x**a. What is the units digit of j(-7)?
1
Suppose -4*i - 21 = 3*h - 90, 4*i - 5*h = 77. Let m be 3*4/(-3)*-1. Suppose 3*p - 23 = -4*w + m*p, i = -w + 5*p. What is the units digit of w?
7
Suppose -3*v + 40 - 6 = -5*q, v - q = 8. What is the units digit of v?
3
Let g(d) = -d**3 + 11*d**2 - 8. What is the hundreds digit of g(7)?
1
Let q(k) = -14*k**3 + k + 1. Let j be (-10)/4 + 15/10. What is the tens digit of q(j)?
1
Let z(q) = q**3 + 9*q**2 - 10*q - 4. Suppose 0 = 5*m + 5, 5*s + 30 = -m - 21. Let p be z(s). Let u = p + 9. What is the units digit of u?
5
Let g = -16 + 27. What is the units digit of g?
1
Let r = 38 - -46. What is the units digit of r?
4
Suppose -v + 2 = v. Let h = v + 3. What is the units digit of h?
4
Let m = 127 + -61. What is the units digit of m?
6
Suppose 0 = 7*p - 15*p + 1624. What is the hundreds digit of p?
2
Let a(y) = y**2 + y. Let b(h) = -3*h + 1. Let r be b(1). What is the units digit of a(r)?
2
Let q = 1 + -5. What is the units digit of (-42)/(-5) + q/10?
8
Suppose 0 = n - 0*n. Suppose 4*w - 2*w + 9 = v, -4*w + 8 = n. What is the tens digit of v?
1
Suppose 2*a + 0*i = 5*i + 3, -i + 1 = 0. Suppose a*h = 27 + 13. Suppose 3*y - y - h = 0. What is the units digit of y?
5
Suppose 2*m = -5*r + 202, -2*r - 390 = -4*m - 5*r. What is the units digit of m?
6
Let t be 3/2 - (-21)/14. Suppose -3*b = -12 - t. Suppose -4*q + b*z + 14 = 0, 2*q + z = 4*q - 4. What is the units digit of q?
1
What is the units digit of ((-1782)/8)/(-1) - 10/(-40)?
3
Suppose -3*v = 4*g + 38, 2*g = 3*v - 7*v - 24. Let i be g/((-1)/2 + 1). Let x = -11 - i. What is the units digit of x?
5
Let w(j) be the second derivative of -j**5/5 - j**3/6 + 2*j. What is the units digit of w(-1)?
5
Suppose 5*x + 3*p - 42 = p, 0 = -5*p - 20. Let m = -8 + x. Let g(d) = 3*d**2 - d - 1. What is the units digit of g(m)?
9
Let o = 4 + -2. Let i = 2 - o. Suppose k + 3*k - 40 = i. What is the tens digit of k?
1
Let r(s) = s**3 + 4*s**2 + 2. Let b be r(-4). Let g be (-2)/(-2) + b - 2. What is the units digit of 6/g*4/6?
4
Let x(w) = -w**2 + 5*w - 1. Let d be x(5). Let k(z) = -z**3 + z**2 - z - 1. Let u be k(d). Suppose 2*r + 6 = 0, 2*r - 4*r - u = y. What is the units digit of y?
4
Let s = 2 + 0. Suppose -2*p + s = -2. Let f = -1 + p. What is the units digit of f?
1
What is the units digit of (1 - 1 - 18)*(-4)/8?
9
Let a be 0 - ((-18)/3 - -1). Suppose 0*o + 10 = a*k + 5*o, 0 = -o. Suppose 22 = q + 2*q - 4*l, k*q - 18 = l. What is the tens digit of q?
1
Suppose 4*d - 15 = -d. Suppose d*g - 8 = -g. Suppose -g*i - 2*i = -36. What is the units digit of i?
9
Suppose 4*d - 87 = -v - 26, v + 51 = 4*d. Suppose -j + d + 6 = 0. What is the units digit of j?
0
Suppose -84 = -0*t + 4*t. Let m be (-36)/(-2)*(-7)/t. What is the tens digit of 19 + (m + -3)*-1?
1
Suppose 0 = 4*g - y - 19, -3*g + 6*y = y - 27. Let m(x) = 2*x - 3. Let t be m(g). What is the units digit of 13/t - 4/(-10)?
3
Suppose -4*l + 7*l - 21 = -3*z, 21 = -2*z + 5*l. Let b(v) = 5*v + 2. What is the units digit of b(z)?
2
Suppose -i + 1 - 5 = 0. Let u(b) = 2*b**2 + 4*b. What is the tens digit of u(i)?
1
Let a = 1 + 6. Suppose 5*q + 2*w = -33, q + 12 = -3*q + 2*w. Let j = a + q. What is the units digit of j?
2
Let r = -14 - -38. Suppose -3*x + r = 3*w, x + 2 = -w + 2*w. What is the units digit of w?
5
Suppose 5 = 2*l - 1. Suppose 4*k - 3*k = l. What is the units digit of k?
3
Suppose -4*n + 5*n = 27. What is the tens digit of (14/3)/(3/n)?
4
Suppose 3*n - 6*n + h + 575 = 0, 0 = n - 5*h - 215. What is the tens digit of n?
9
Let o(n) = 20*n**3 + 2*n**2 + 2*n + 1. Let y be o(-2). What is the tens digit of y/(-10)*(0 + 2)?
3
Suppose -3*i + 0*f = -3*f + 9, -2*i = -f + 11. Let b = i + 11. What is the units digit of b?
3
Suppose -4*s + s + 687 = 0. Suppose s = 5*a + 3*r, 6*a = 2*a - 3*r + 185. What is the tens digit of a?
4
Suppose s = 5*d - 4*d + 6, 5*s - 4*d - 30 = 0. Suppose l + l = -s, -174 = -4*n + 2*l. What is the units digit of n?
2
Let x = -36 + 59. Let f(l) = -l + 6. Let r be f(6). Suppose r = 2*g + 7 - x. What is the units digit of g?
8
Let a = 75 + -37. What is the tens digit of a?
3
Suppose -t = 3, 5*t - 6 = -4*w + w. Suppose v - 2*q + w*q = -9, 3*v - 3*q = 45. What is the units digit of v?
1
Suppose 2*d - 12 = 2. Let c = 5 + d. What is the units digit of c?
2
Let d = -1 + 3. Suppose -70 = -2*i + w + w, d*w = -3*i + 80. What is the units digit of i?
0
Let x be -2*2/(4/18). Let l = x + 26. What is the units digit of l?
8
Let q be -3 - 0*1/(-3). Let x(t) be the first derivative of -t**2/2 + 3*t + 1. What is the units digit of x(q)?
6
Let f(m) = -m - 4. Let u be f(-3). Let y be (-3)/(0 + u) + -1. Suppose -y*x + 3*x + 3*s = -8, s + 3 = 0. What is the units digit of x?
1
Suppose -5*c - 2*w = -2*c - 62, -2*w = c - 18. What is the tens digit of c?
2
Let j(f) = -3*f**3 + 3*f**2 + 3*f + 3. What is the tens digit of j(-2)?
3
Let w(k) be the third derivative of -k**4/3 - 4*k**3/3 - 4*k**2. What is the units digit of w(-4)?
4
Let h(c) = 8*c**2 + 2*c + 4. Let o(r) = 15*r**2 + 4*r + 8. Let b(u) = -11*h(u) + 6*o(u). What is the tens digit of b(3)?
2
Suppose -2*d + 39 = 3*j, -5*d - 3*j + 123 = -4*j. Suppose 12 = -0*i - 2*i + f, 5*i - f = -d. Let r(l) = -3*l - 1. What is the units digit of r(i)?
1
Let a(m) = m**3 - 7*m**2 + 7*m - 2. Suppose -u + 18 = r - 4*u, -3*r - 3*u = -6. What is the units digit of a(r)?
4
Let a(p) = p**2 + 9*p - 8. Suppose 4*r - r + 33 = 0. What is the units digit of a(r)?
4
Let u = 4 - -234. What is the tens digit of u?
3
Let v be 0*(-1 - -2)/(-1). Suppose v = -4*p + 11 + 1. What is the units digit of p?
3
Let s = 151 - 13. What is the units digit of s?
8
Suppose 0 = 2*s - 4*a - 6, -3*a + 5*a = -5*s + 3. Let g be (-3)/s + -3 + 54. Suppose 6*n = 2*n + g. What is the tens digit of n?
1
Let y(x) = x**3 + 12*x**2 + x + 6. Let z be y(-12). What is the units digit of (-8)/24 - 164/z?
7
Let p be (-6)/(-27) - (-4)/(-18). Let g be -1 + -1 + -1 + 0. What is the units digit of (1 - 6/g) + p?
3
Let g = -5 - -2. Let c be (g/(-9))/((-2)/(-36)). Suppose 0 = -l - l + c. What is the units digit of l?
3
Let f(c) = 4*c**2 + 2*c - 22. What is the units digit of f(-6)?
0
Let m = 41 - 10. Suppose m = 4*c - 25. What is the tens digit of c?
1
Suppose 0*c - 2*c = 376. What is the units digit of (-1)/(-6) - c/24?
8
Let f = -51 - -71. What is the tens digit of f?
2
Suppose -4 = -h - 0*h. What is the units digit of h?
4
Let d(g) = 5*g**3 + 2*g**2 - 1. Let f be d(-1). Let v be ((-2)/3)/(f/18). Suppose 5*j - 18 = u, -u - 8 = v*j - 30. What is the units digit of u?
7
Suppose -b = -4*b - 2*v + 8, -4*b + 4 = 4*v. What is the tens digit of ((-39)/b)/(1/(-4))?
2
Suppose 4*p = p + 18. Suppose -3*m - 2*r + 56 = -p*r, r - 62 = -4*m. What is the units digit of m?
6
Let p(x) = 6*x - 10. What is the tens digit of p(8)?
3
Suppose -6*t + 2*t - 32 = 0. Let x = 14 + t. What is the units digit of x?
6
Let q be (-2)/10 + (-33)/(-15). Suppose -q*c + 1 + 1 = 0. Suppose -n - 6 = -c, -4*j + 2*n = -14. What is the units digit of j?
1
Suppose -40*t + 38*t + 250 = 0. What is the hundreds digit of t?
1
Suppose 3*q = q + 8. What is the units digit of 12 + -1 - (2 - q)?
3
Let q(u) = 6*u + 1. Let p = 0 + 2. Let l be q(p). Suppose -2*b + 4*f + 5 = b, 3*b - 2*f = l. What is the units digit of b?
7
Suppose 0 = -4*j + w + 34, 0 = 2*j - 3*w - 0*w - 22. What is the tens digit of -18*2/(j/(-6))?
2
Let a be ((-2)/2 + 2)/(-1). Let s be 0 + 6/3 + a. What is the units digit of -1 + -1 - (-6 + s)?
3
Let l(o) = 5*o**2 + 2*o**2 + 4*o**2 + 11*o + 12 + o**3. Suppose 3*y + 5 + 25 = 0. What is the units digit of l(y)?
2
Suppose 4*s - 13 = 3. Let q be (-1)/s - 34/(-8). Suppose -q*o + 35 = o. What is the units digit of o?
7
Let o(w) = w**3 - 3*w**2 - 5*w + 6. Let n be o(4). Suppose 4*f = 2*y - 16, -n*y - 5*f = -5*y + 28. What is the units digit of y?
6
Suppose d + 1 = 4. Suppose 19 + 26 = d*c. Suppose 2*r - 3*r - c = -4*a, 4*a - 3*r - 21 = 0. What is the units digit of a?
3
Suppose 3*l + 7 - 16 = 0. Suppose 3*g - 15 = 5*u - 0*g, l*g - 15 = -u. Suppose -2*z + 6 = 0, -o + 3*z + u - 4 = 0. What is the units digit of