 - 1. What is the units digit of r(b)?
2
Let m be (-177)/(-5) + (-4)/10. Suppose 3*f = -4*v - 2*f + m, -4*v + 85 = -5*f. What is the units digit of v?
5
Let c(t) = -t + 7. Let p be c(5). Suppose w - 4*b = 8, -p*w + b = w - 13. Suppose w*x - 56 = -0*x. What is the units digit of x?
4
Suppose 3*r - r - 2*c = 112, 3*c = -4*r + 196. What is the units digit of r?
2
What is the units digit of 32/12*(-9)/(-6)?
4
Let c(y) = 2*y - 2. Let g be c(3). Suppose g*n = 2 + 6. What is the tens digit of (n - 9/3)*-10?
1
Let t(g) = g - 1. Let b(m) = -2*m. Let d(c) = -4*b(c) - 5*t(c). What is the tens digit of d(4)?
1
Let h = -3 + 3. What is the units digit of h - (0 + -1 + 0)?
1
Suppose 3*m = 66 + 33. What is the tens digit of m?
3
Let p = 4 - 1. Suppose 0*r = 2*r - 5*v - 42, p*v - 21 = -3*r. What is the tens digit of r?
1
Let p(d) = -d**3 - 11*d**2 + 5. What is the units digit of p(-12)?
9
Let l(o) = -o**3 - o - 8. Let x be l(0). Let q = 12 + x. What is the units digit of q?
4
What is the units digit of (-39)/(-33) + -1 - (-31)/11?
3
Suppose 0*l = -l + 1. What is the tens digit of ((-16)/5)/(l/(-5))?
1
Let z be ((-8)/(-6))/(1/21). What is the tens digit of 3 + (-3)/(-3) + z?
3
What is the tens digit of (1 - (2 + (-1)/2))*-220?
1
Let v(w) = -w**2 - 6*w - 6. Let b = 4 - 8. What is the units digit of v(b)?
2
Let v(x) be the third derivative of -x**5/60 + x**4/24 + x**3/6 - 2*x**2. Let h be v(0). Suppose 2*d = 5 + h. What is the units digit of d?
3
Let w be 33 + -3 + 5 + -3. Suppose w = 6*n - 4*n. What is the units digit of n?
6
Suppose 12 = 2*x + 2*x. Suppose -5*b - 3 + 5 = -x*z, -3*b + 2 = -z. What is the units digit of (4/z)/((-6)/(-3))?
2
Suppose -4*z = -0*z - 32. Let p(a) = -a**3 + 9*a**2 - 8*a + 6. Let y be p(z). Let v(l) = 2*l - 7. What is the units digit of v(y)?
5
Let g be 3/(18/4 - 3). What is the tens digit of 11 - (g - 5)/(-3)?
1
Let d(r) = r**3 + 11*r**2 - 6*r - 10. Let z be d(-11). Suppose -2*g + z = -3*t, g - 27 - 6 = 4*t. What is the tens digit of g?
2
What is the tens digit of 12/3 + 41 + 0?
4
What is the units digit of 96 - 1 - (-4 + 5)?
4
Suppose -2*p = 3*h - 6*p - 13, h + 4*p + 1 = 0. Let l be (2/h)/((-2)/(-75)). Suppose -7*d - l = -2*d, -40 = -5*v - 3*d. What is the units digit of v?
1
Let g(r) = 2*r**2 - 6*r - 5. Let f be g(5). Suppose -4*c = s - f, -4*c = -s - 2 + 1. What is the units digit of s?
7
Suppose -3*w = -519 + 39. What is the tens digit of w?
6
Suppose 3*s + 10 = u, 5*s + 6 = -u - 0*u. Let w = 0 - -15. What is the units digit of (-2)/(-4) - w/s?
8
Let k be (4 - 0)*5/10. Let l(d) = 15 - k*d - 2 + 2*d + d. What is the units digit of l(-7)?
6
Let y = -5 + 7. Let g = 7 + 2. Suppose -3*u - 3*q = -g, -2*u + 6*u = y*q. What is the units digit of u?
1
Suppose 0 = -7*r + r + 102. What is the units digit of r?
7
Let b be ((-27)/(-6))/((-1)/(-14)). Suppose 3*a + 3*l = b, 3*a + l = -l + 61. What is the units digit of a?
9
Let r(p) = p**3 - 4*p**2 + 2*p - 3. Let i be r(3). Let l be i/3 + 1*4. What is the units digit of 3*(10/l - 3)?
6
Let v(w) = w**2 + 2. Let x be v(-2). Suppose 0 = -3*r + r + x. Suppose 1 + r = u. What is the units digit of u?
4
Let n = 91 - 48. Let j = -25 + n. What is the units digit of j?
8
Let x(w) = -3*w**3 + 13 - w + 2*w**3 - 4*w**2 - 6 - 3*w**2. What is the units digit of x(-7)?
4
What is the tens digit of -4 + (-4)/6*-147?
9
What is the units digit of (-32)/(-3) - (-8)/6?
2
Let n(c) = -3*c**3 - 3*c**2 - 3. What is the tens digit of n(-3)?
5
Let y be 42/(-7)*6/4. Let s be (-8)/3*y/6. Suppose 6 + s = 2*o. What is the units digit of o?
5
Suppose 7*q + 425 = 4*d + 4*q, 5*d - 532 = 3*q. What is the hundreds digit of d?
1
Let f be (8 - 6)/(4/10). Suppose -3*h - 2*h + 47 = 3*q, -2 = 2*q - f*h. What is the units digit of q?
9
Let r = -1 - -13. Suppose -3*f + 0 + r = 0. Let n = 7 - f. What is the units digit of n?
3
Suppose -m + 8 = -p, 3*m + 0*m - 2*p - 21 = 0. Suppose 2 = 3*g + n + n, 4 = -g - 3*n. Suppose -1 = g*v - m. What is the units digit of v?
2
Let w = -1 - -4. Suppose -5*p + 0*p + 8 = -3*i, 0 = -3*i - 5*p + 32. Suppose -5*t - w = -i*s, -3*t = -5*s + 2*t + 10. What is the units digit of s?
7
What is the units digit of (68/8)/((-3)/(-6))?
7
Let x(l) = 14*l**2 - l - 18. Let t(h) = 5*h**2 - 6. Let o(w) = -11*t(w) + 4*x(w). Let p be o(5). What is the units digit of (10 - 1) + 0/p?
9
Let b = 7 + -5. What is the units digit of 9/b*(-4)/(-6)?
3
Suppose 2*s = 3*s - 18. What is the units digit of s?
8
Suppose 5*f + 37 - 12 = 0. Let x(s) = s + 2*s + 6 - 2*s. What is the units digit of x(f)?
1
Suppose o - 1 = 2. Let w = -1 + o. Suppose -2*g = -3*c, -5*g = c + w*c - 42. What is the units digit of g?
6
Let q(s) = 3*s**2 + 3*s - 1. What is the tens digit of q(-5)?
5
Suppose 6*z + z - 441 = 0. What is the tens digit of z?
6
Suppose 3*r - 20 = -4*l, -2*r + 6*r = -2*l + 10. Suppose 2*m + 3*m = r. Let x = 7 + m. What is the units digit of x?
7
Let w be -2 + (-3)/3*-11. Let g = 24 - w. What is the units digit of g?
5
Suppose -12*f = -23*f + 1628. What is the units digit of f?
8
Let t(d) = d**3 + d**2 + 2*d. Let a be t(2). Suppose a = 2*s - 36. What is the units digit of s?
6
Let g = -1 + 6. Let a = 12 - 21. Let z = g - a. What is the units digit of z?
4
Suppose -3*m = m. Let v be -1 + (-1 - -1*7). Suppose m*d + 10 = v*d. What is the units digit of d?
2
Suppose 3*c = -4*f + 574, 2*c - 7*c + 1000 = -2*f. What is the hundreds digit of c?
1
Suppose 4*w = -f + 50, 3*w + f = -f + 40. Let m be -21*-1*w/14. Suppose -5*k = -2*h - m, -5 = -k - 1. What is the units digit of h?
1
Let w(k) = -4*k - 11. What is the units digit of w(-10)?
9
Suppose -6*s + 16 = -2*s. Suppose w - 3*n = -s, 3*n = 2*w - 4 + 3. Suppose 5*g = -4*i + 4*g + 32, w*i - 53 = 2*g. What is the units digit of i?
9
Suppose 0*o - v = 4*o - 127, 3*v + 115 = 4*o. Let p = o + -15. What is the units digit of p?
6
Suppose 2*v - 5*b = -3*v + 120, 4*v = -b + 111. What is the units digit of v?
7
Let n be ((-12)/20)/((-2)/10). Let j(o) = -3*o + 2. Let f be j(n). What is the units digit of 4/14 + (-19)/f?
3
What is the tens digit of (-7)/(-14) - (-107)/2?
5
Suppose -7*l - 25 = -2*l. Let b = -2 - l. What is the units digit of b?
3
Suppose -9 = -k + n, k + n = -0*n + 11. Suppose 0 = -a + 3*a - k. Let l = -1 + a. What is the units digit of l?
4
Suppose 10 = 3*i - 44. What is the units digit of i?
8
Suppose -u + 4*a + 7 = -2, -5*a = 5. Let q = -8 + 12. Suppose -50 = -u*g - 4*v, -q*g + g - 2*v + 28 = 0. What is the units digit of g?
6
Suppose 0 = -l + 42 + 50. What is the units digit of l?
2
Suppose -5*c = -11 - 4. What is the units digit of c?
3
Let r = 38 + -32. What is the units digit of r?
6
Suppose 4*g + 3*b + 4 = 23, 0 = 2*g + 3*b - 11. Let n(p) = p**3 - 4*p**2 + 3. What is the units digit of n(g)?
3
Let q = 3 + 0. Suppose -4*k + 7 + 6 = -3*z, 0 = 3*z - 5*k + 17. What is the units digit of q/((9/6)/z)?
2
Let c(n) = n**3 + 12*n**2 + 12*n - 1. Let k be (-10 + 9)/((-2)/(-22)). Let j be c(k). What is the units digit of (-104)/j + 4/(-6)?
8
Let v(o) = -2*o**3 - 6*o**2 + o + 13. What is the hundreds digit of v(-6)?
2
Suppose 8*o = -2*n + 3*o + 85, -n = -3*o - 37. What is the tens digit of n?
4
Let p be 4*((-1 - -3) + 1). What is the tens digit of (-2 - -1)*(1 - p)?
1
Let d = -8 - -6. Let g be (3/d)/((-12)/176). Let x = -10 + g. What is the units digit of x?
2
Let w(d) = d + 1. Let t be w(4). Let n(f) = f + 1. Let z(o) = -10*o - 2. Let k(c) = -8*n(c) - z(c). What is the units digit of k(t)?
4
Suppose -4*l - 12 = w + w, 3*l + 23 = 2*w. Suppose 19 - w = -3*o. What is the units digit of o*(-2 - 0/(-3))?
0
Let k be (-2)/(-2) + 6/2. Suppose -4*q = -3*q + k, -3*q - 20 = -4*g. Suppose -22 = -3*x - 4*c, -3*c + 18 = -g*x + 5*x. What is the units digit of x?
2
Let y(w) = -21 + 14 + 13 + 6*w. What is the tens digit of y(5)?
3
Suppose -20 = -0*q - 5*q + 4*b, 3*q + 2*b = 12. Suppose -q*n + 20 = -0*l - 4*l, 0 = 3*n - 4*l - 14. What is the units digit of n?
6
Let f = 238 + -127. What is the units digit of f?
1
Suppose -4*a + 17 + 11 = 0. What is the units digit of a?
7
What is the units digit of 3 + -3 + (2 - 1)?
1
Let w(c) = -c - 2. Let h be w(-2). Suppose -2 = -h*o - o. What is the units digit of o?
2
Let h = 5 + 0. What is the units digit of h?
5
Suppose 32*z - 28*z = 40. Let x(h) = h - 5. Let v be x(5). Sup