the units digit of a?
1
Suppose -v - 2 = -1. Let u be (-7)/(-3) - v/(-3). What is the tens digit of -2 + -1 + u + 12?
1
Let c be ((-1)/4)/((-3)/12). Suppose 3 = -m + 5. What is the units digit of (22/(4 - m))/c?
1
Let p(c) = -c**3 + 7*c**2 + 8*c + 8. Let f be 21/(-7) + 11/1. What is the units digit of p(f)?
8
Let a = -5 + 8. Suppose -5*n + p - 31 = 0, n + a*n - 4*p = -12. Let v(f) = f**2 + 6*f - 4. What is the units digit of v(n)?
3
Let i be (-1)/(-4) - 11/(-4). Suppose -r = i*r. Suppose r = 3*f - 2*f - 2. What is the units digit of f?
2
Suppose r = 4*r - 12. Suppose 37 = 2*m + 3*p, r*m + 3*p = -0*p + 65. What is the tens digit of m?
1
What is the tens digit of (-1)/3 - 545/(-15)?
3
Let a = -11 + 14. Suppose 4*h - a*h + v - 24 = 0, 0 = -h + 2*v + 9. What is the tens digit of h?
1
Suppose -4*i + 238 = -2*i. What is the tens digit of i?
1
What is the units digit of 54/21*(-14)/(-3)?
2
Let w(p) = -42*p - 2. What is the hundreds digit of w(-3)?
1
Let z(s) = 6*s**2 - s - 9. What is the tens digit of z(-4)?
9
Suppose 0 = -12*b - 5*b + 3434. What is the tens digit of b?
0
What is the units digit of 33/22*(-2 + 2*38)?
1
Let k(r) = r**3 - r**2 + 8. Let d be k(0). Let t(o) = -o**2 + 6*o + 10. Let c be t(d). What is the units digit of 1/(-3) + (-20)/c?
3
Let z = -2 - -7. Let c(g) = 3*g - 3. What is the units digit of c(z)?
2
Let v be 1*(-8)/6*-3. What is the units digit of (-112)/(-20) - v/(-10)?
6
Suppose 0 = -n + 3*x - 6 + 17, 18 = 3*n - 4*x. Suppose n*g = -2*g + h + 74, g - 11 = 4*h. What is the tens digit of g?
1
Let s = -2 + 3. Suppose -s = -3*m + 8. Suppose -16 = -m*t + 17. What is the tens digit of t?
1
Let d be (-2)/(-7) + (-23)/7. What is the units digit of d/(27/96)*-3?
2
Suppose 2*x + 8 = x. Let j(v) = -v - 7. What is the units digit of j(x)?
1
Let h = 15 + -10. Suppose -h*k + 13 + 20 = 3*g, 5*g + 3*k = 55. What is the units digit of g?
1
Suppose -2*l + 4*o - 24 = 0, 2*o - 3*o = -5*l - 33. Let s(w) = w + 10. Let t(f) = -1. Let b(k) = s(k) - t(k). What is the units digit of b(l)?
5
Suppose -5*h = 12 + 33. Let q = -6 - h. What is the units digit of (0 + 1)*(6 - q)?
3
Let c(y) = y**2 + 2*y + 7. What is the units digit of c(-3)?
0
Suppose -r = -2*i - 5, 6 = -0*r + 3*r + 3*i. Suppose -p + 56 = r*p. What is the tens digit of p?
1
Suppose 2*i - 10*i + 104 = 0. What is the tens digit of i?
1
Suppose 0 = 5*p - 2*i - 369, 2*i = 4*p - 3*p - 77. What is the tens digit of p?
7
Suppose -2 = -b - 0. Suppose b*m - 3*m + 12 = 0. Suppose h - m = -2*h. What is the units digit of h?
4
Let s be 2/(-10) + 33/15. Suppose -s*v = -4*o + 36, 0 = -3*o + o + 10. What is the units digit of (0 + -4)*20/v?
0
What is the units digit of 72*1/18*3*22?
4
Let q = -34 + 21. Let f = q + 54. What is the tens digit of f?
4
Let i(u) = -u + 3. Let h be i(3). Suppose 3*w - 12 - 9 = h. Suppose 3*m - 5 = w. What is the units digit of m?
4
What is the tens digit of (-2)/10 + (-2)/((-20)/862)?
8
Let i(x) = -5*x + 1 - 1 + x**2 + 6. Let o be i(4). Suppose 0 + o = 2*y. What is the units digit of y?
1
Suppose 2*w - 2 = -10. Let r = w - -2. What is the units digit of r + (2*4 - 0)?
6
What is the units digit of (-3 - -39) + 2 - -3?
1
Let q = 37 - 25. Suppose -2*r - 2*k + 2 = -6, -3*k + q = -2*r. Suppose r = -0*c + 5*c - 20. What is the units digit of c?
4
Let k(g) = -2*g - 7. Suppose 0 = -4*t + 6*t. Suppose -2*q + 3*q + 8 = t. What is the units digit of k(q)?
9
What is the units digit of (-1 - -3 - 3)*-59?
9
Suppose 63 = 2*i + h, -i + 44 = h + 12. What is the tens digit of i?
3
Let j be -5*(-3 + (-39)/(-15)). Suppose -j*m = -13 - 29. What is the tens digit of m?
2
Let y(l) = -9*l + 9. Let h(u) = 8*u - 8. Let z(j) = 6*h(j) + 5*y(j). Let q(i) = i**3 + 3*i**2 - 3*i - 3. Let w be q(-3). What is the units digit of z(w)?
5
Suppose -3*q = -2*c - 4*q + 83, -c - 5*q = -28. What is the units digit of c?
3
Suppose -8 = 3*f + f. What is the units digit of ((-3)/3 - -8) + f?
5
Let x be 7/((-21)/6)*-1. Suppose -c = h - 2 - 6, -3*c = x*h - 14. What is the tens digit of h?
1
Let p(z) = z**3 + 3*z**2 - 4*z + 3. Let o be p(-4). Suppose -y = -o*y. Suppose q - 61 = -5*s, -s - 3*q + 1 = -y*s. What is the tens digit of s?
1
Let t(a) be the first derivative of -a**2/2 + 2*a - 1. Let o be t(5). Let h = o - -12. What is the units digit of h?
9
What is the tens digit of ((-312)/(-18))/(6/9)?
2
Suppose -2*d + 8*d - 54 = 0. What is the units digit of d?
9
Let s = 19 + 19. What is the units digit of s?
8
Let u be -5*(4 + (-4)/(-5)). What is the tens digit of u/1*(5 - 6)?
2
Let r be (1 + 0)*(-3 + 2). What is the units digit of 6/(r/((-3)/2))?
9
Let f = 73 - 51. Suppose -4*r + z + 0*z + 28 = 0, 3*r = z + f. What is the tens digit of (26/(-6))/((-2)/r)?
1
Let w(l) = 164*l**2. What is the units digit of w(1)?
4
Let s be ((-52)/(-8))/((-2)/4). What is the tens digit of 2/s - (-1050)/65?
1
Suppose 46*l + 74 = 48*l. What is the units digit of l?
7
Suppose 0 = -8*b + 4*b + 108. Let t = b - 9. Let m = t - 8. What is the units digit of m?
0
What is the tens digit of (1/(-3))/(2/(-222))?
3
Suppose 4*r + r - 40 = 0. Suppose 5*p = 3*g - 17, 0*g + g - r = 4*p. What is the units digit of 6 + (-1 - (-1)/p)?
4
Let u(a) be the third derivative of -5*a**4/3 - a**3/6 + 2*a**2. Let p be u(-1). What is the units digit of 6/9*p/2?
3
Let d(x) = 4*x + 1. Let j = -7 - -13. Let g(r) = -5*r - 1. Let s(q) = j*d(q) + 5*g(q). What is the units digit of s(-3)?
4
Let q be 3 - ((-3 - -8) + -3). Suppose 4*f = 5*n + 5, 3*n - 7 = f - 3. Suppose -n*v = -q - 2. What is the units digit of v?
1
Let k(l) = -2*l + 3. What is the units digit of k(-5)?
3
Suppose -m = -5*f, -4*f = -m - 4*m + 21. Suppose 0 = -3*p + 2*x + 3 + 1, -10 = 3*p + 5*x. Let a = m + p. What is the units digit of a?
5
Suppose -5*o + 4*q = -10, 0 = 3*o + q + q - 6. Let f(w) = -4*w + 7 + 3*w**2 - o*w**2 - 4. What is the units digit of f(5)?
8
Suppose 0 = 3*q - v - 116, -6*q + q + 208 = 2*v. Suppose 5*n + 0*n - q = 0. What is the units digit of n?
8
Suppose 3*j + 2 = 5*c, -c - 1 - 1 = 0. What is the tens digit of (-42)/(-4) - (-2)/j?
1
Suppose -3*t = -2*l + 11, -3*l - 12 = -0*l + 5*t. Let i be 1 - ((-3)/1 - l). Suppose -i = -n - 0. What is the units digit of n?
5
Let w(b) = b**2 - 9*b + 4. What is the units digit of w(11)?
6
Let h be 0 + -5*(-3)/5. Let b be 0/2 - -91 - 1. Suppose k - b = -5*u, 4*u + 2*k = h*k + 81. What is the tens digit of u?
1
Let p be (156/8)/(2/4). Suppose -6 + 2 = 4*t, -4*t = 3*y - 5. Suppose -2*z + 0*z = -y*a + p, 4*z + 1 = -a. What is the tens digit of a?
1
Let a = 12 - -22. What is the units digit of a?
4
Suppose 0 = 3*z - 5*z. Let t = 3 - z. Suppose -t*k + 57 = -3. What is the tens digit of k?
2
Suppose -3*z = -5*f - 29, 2*z + 2*f = -2*f + 34. What is the units digit of z?
3
Let u = 3 - 1. Suppose -u*p + 32 = 2*p. Suppose 5*c + p = 7*c. What is the units digit of c?
4
Let p(t) = t**3 + 9*t**2 + 10*t + 12. Let x be p(-8). Let v = 16 + x. What is the tens digit of v?
1
Let s = -2 - -5. What is the units digit of s?
3
Suppose -4*i = -15*i + 1419. What is the units digit of i?
9
Suppose 61 = y + w, w = 4*y - 0*w - 229. What is the units digit of y?
8
Suppose 7 = 4*m - 25. Let c be (-126)/(-24) - 2/m. Suppose -36 = -c*x + l, 0*l = -5*x - l + 34. What is the units digit of x?
7
Let d(j) be the first derivative of 5*j**2/2 + j + 1. Suppose -m + 0 = -1. What is the units digit of d(m)?
6
Suppose -2*b + 4 + 4 = 0. Suppose 0*y - 4*y + 8 = b*q, 3*q + 5*y = 8. What is the units digit of 4/((1 - q) + 2)?
2
Let o(t) = -2*t**2 - t + 1. Let f be o(-3). Let d be 6/(-21) + (-46)/f. Suppose -29 = -a - 5*w, 0 = -d*a - 0*a + w + 7. What is the units digit of a?
4
What is the tens digit of (3 - -21) + (2 - -1)?
2
Suppose -2*c + 2*l = 5*l - 21, 0 = -2*c + 2*l + 26. What is the units digit of c?
2
Let f = -25 + 29. What is the units digit of f?
4
Let d(x) be the second derivative of x**5/20 + x**4/6 - x**3/2 + 3*x**2/2 - 3*x. Let b be d(-3). Suppose 30 = b*r + 6. What is the units digit of r?
8
Suppose -10*i = -11*i - 8. Let y = 23 + i. What is the tens digit of y?
1
Suppose -5*p - 2*u + 740 = -126, -3*p - 3*u = -516. Suppose -x = 0, -6 - p = -4*w - x. What is the tens digit of ((-4)/(-5))/(3/w)?
1
Let j(a) = -2*a - 5. Let d be j(-4). Let o(c) = -6*c - 5. Let m(u) = -3*u - 2. Let y(v) = -9*m(v