tens digit of v?
1
Let r be ((-8)/2)/((-2)/(-8)). Let x = r + 27. What is the units digit of x?
1
Suppose 0 = -2*a + 3*n - 15, -3 = 3*a - n + 2. Suppose k - 3*c - 3 - 2 = a, 0 = 4*k + 4*c - 84. What is the tens digit of k?
1
Let x be 6/21 - (-808)/14. Let l = x + -27. What is the tens digit of l?
3
Suppose 2*w + 2 - 20 = 0. Let y = -7 + w. What is the units digit of y?
2
Let s(o) = 28*o**3 - 2*o**2 + o + 1. Suppose 2*n + 2*u + 6 = 0, -5*n - 11 = 2*u + 2*u. What is the tens digit of s(n)?
2
Let s(q) = -q**2 - 11*q + 13. Let g be s(-12). What is the tens digit of (-208)/(-14) - g/(-7)?
1
Let h = 21 - 13. Let p = h - -33. What is the units digit of p?
1
Suppose 3*i + 2*k = 5*k, -2*i = -5*k + 15. Suppose q - i*g = 4*q + 8, -20 = -4*q + g. What is the units digit of q?
4
Suppose -4*y = -y + 5*j - 15, -5*y + j = -25. Let t(f) = 0 + 2 - y*f**2 + 4*f + 0 + 3 + f**3. What is the units digit of t(4)?
5
Let m(v) = 13*v**3 - 1. Let b be m(-1). What is the tens digit of 6/(-8)*(b + -2)?
1
Let f(n) = 7*n - 10. What is the units digit of f(6)?
2
Suppose 3*v = k + 7, -4*k + 5*v = k + 5. Suppose k*x - 2 = -6. What is the units digit of x + 7 - (-1 - 0)?
6
What is the tens digit of 36 - ((-10)/5 - 2)?
4
Suppose p - 57 = 38. Suppose 0 = -2*k, -5*w - 2*k = 2*k - p. What is the tens digit of w?
1
Let w = -28 + 24. What is the units digit of 36*1*(-2)/w?
8
Suppose 0 = -12*g + 480 + 432. What is the tens digit of g?
7
Suppose 3*u = 5*u - 24. What is the tens digit of u?
1
Let c be (-4)/6*(-30)/4. Suppose c*x - x - 16 = 0. What is the units digit of x?
4
Suppose -v - 21 = -4*v. Suppose 0 = v*f - 4*f - 51. What is the units digit of f?
7
Suppose 0 = 2*v + y, 5*v + 8*y - 4*y = 6. Let r = 7 - v. What is the units digit of r?
9
Suppose 10 + 9 = 5*t - 3*y, -2*y - 6 = -2*t. Let c(l) be the first derivative of l**4/4 - 2*l**3 + 3*l**2 + 4*l + 1. What is the units digit of c(t)?
9
Let s(b) = -42*b**3 + b**2 - 2*b - 2. What is the tens digit of s(-1)?
4
Suppose -5*n - 3*j + 9 = -2*n, -5*j - 3 = -4*n. Suppose -2*x = 4*i + 8, -12 = 2*i + 3*x - 0*x. Let k = n + i. What is the units digit of k?
2
Let x(m) = m + 23. What is the tens digit of x(0)?
2
Let p(q) = q + 17. What is the tens digit of p(6)?
2
Suppose -445 = 53*h - 58*h. What is the units digit of h?
9
Let r = 165 - 102. What is the units digit of r?
3
Let c be 6*1/2 - 1. Let b be (-3)/6*c*0. Let l = b - -9. What is the units digit of l?
9
Let n = -259 + 414. Suppose -7*k + 2*k = -n. What is the tens digit of k?
3
Suppose p = -4*p + 50. Suppose p = 2*v - 0*v. Suppose -v = -2*f - 3. What is the units digit of f?
1
Let n be (-17)/51*(1 + -4). Suppose 3*r + 3*l - 133 = -19, l - n = 0. What is the units digit of r?
7
Let i(m) = m**3 - 16*m**2 - 19*m + 20. Let g be i(17). What is the units digit of (-1425)/(-33) + g/77?
3
Let s = -8 + 40. What is the tens digit of s?
3
What is the tens digit of ((-24)/(-5))/(4*3/150)?
6
Let w = 172 - 111. What is the tens digit of w?
6
Let a(i) = 4*i - 25. What is the units digit of a(17)?
3
Let t(s) = 25*s - 28. What is the units digit of t(3)?
7
Let o = 13 + 14. Suppose 2*n + 2*n + 22 = -2*p, -5 = 5*n. What is the units digit of 6/o - 106/p?
2
Suppose 12 = 3*x - 0*x. Let f = -1 + x. Let l = f + -1. What is the units digit of l?
2
Let k(t) = 8*t. Let y be k(1). Let n = -4 + y. Suppose -m + 3 = 2*i + 1, -n*i = -2*m + 20. What is the units digit of m?
6
Let p = 426 + -293. What is the units digit of p?
3
Let j(i) = i**2 - 8*i - 3. Suppose 40 = t + 3*t. What is the units digit of j(t)?
7
Suppose -k = -3*k. Suppose -3*s = -k*s + 3. What is the units digit of 1*(-4)/(1/s)?
4
Let f(k) = k + 3. Let d be f(0). Let p(m) = m. Let o be p(d). Suppose 9 = 2*t - o*q, -t - 12 = -4*t + 5*q. What is the units digit of t?
9
Let y(t) = -12*t**2 - t. Let g be y(-1). Let x = g - -20. What is the units digit of (-51)/x*6/(-2)?
7
Let k be ((-7)/(-3))/((-2)/6). Let b = 38 + k. Suppose 0 = 4*t - b - 1. What is the units digit of t?
8
Let j(p) = 2*p + 6. What is the units digit of j(13)?
2
Let d(z) = 3*z**3 + 2*z**3 + z - 7*z**2 + 10 - 6*z**3. What is the units digit of d(-7)?
3
Let f(x) = 5*x**2 - 2*x + 1. Let b(i) = i**2 + 1. Let g be b(0). What is the units digit of f(g)?
4
Let n(v) be the first derivative of -v**2/2 - 1. What is the units digit of n(-2)?
2
Suppose -8 = p - 28. What is the tens digit of p?
2
Let k(g) = -2*g**2 - g + 1. Let x be k(2). What is the units digit of 1/((4/x)/(-4))?
9
Suppose -4*p + 1376 = 4*i - 0*i, 1022 = 3*i + p. What is the hundreds digit of i?
3
Let t(q) = 12*q**3 + 1. Let b be t(1). Suppose 0*a = a - b. What is the tens digit of a?
1
Suppose 4*x + 771 = -3*k + 8*k, -309 = -2*k + x. Suppose -4*l = l - k. What is the units digit of l?
1
Suppose 4*t - 72 = 2*t. What is the tens digit of t?
3
Let r = -6 - -8. Suppose -j + 0*j = -r. Suppose 0*t - j*t - 67 = -5*h, 0 = h + 5*t - 8. What is the tens digit of h?
1
Let l be (-286)/(-10) + 6/15. Let k = 43 - l. What is the units digit of k?
4
Suppose -2*f = -2 - 2, 4*f = -3*p - 10. Let h(n) be the first derivative of n**3/3 + 3*n**2/2 - 7*n - 8. What is the units digit of h(p)?
1
Let p(b) be the first derivative of 1 - b + 2*b**2 + 2*b**2 + 0*b**2. What is the units digit of p(1)?
7
Suppose -4*z = -3*z - 9. What is the units digit of 61/z - 8/(-36)?
7
Let w = -22 - -46. Suppose w = -4*g + 192. What is the tens digit of g?
4
Let o(g) = g - 13. Let y be o(15). Suppose -3*k + 35 = -4*i + y*i, -2*k + i + 22 = 0. What is the units digit of k?
9
Suppose -2*w = -3*w. Suppose -3*r = -4*j - 6*r + 30, w = -5*r + 10. What is the units digit of j?
6
Let r = -55 + 76. What is the tens digit of r?
2
Suppose 117 = -3*p - 4*c + 399, -2*c = -6. What is the tens digit of p?
9
Let f(p) = 41*p - 2. What is the units digit of f(2)?
0
Suppose 204 = -4*i + 2*s, 34 = -i + 5*s - 26. Let v = -36 - i. What is the tens digit of v?
1
Let d = -8 - -52. What is the tens digit of d?
4
Let p(c) be the third derivative of 11*c**6/120 - c**5/60 + c**4/12 - c**3/6 - c**2. Let a be p(1). Suppose 3*v = 4 + a. What is the units digit of v?
5
Suppose -8 = 4*j, -4*r + 1 + 9 = 5*j. Suppose 2*z + 0*q - 13 = -q, 0 = -q + r. What is the units digit of z?
4
Let r(b) = -2*b**3 - 6*b**2 - 3*b + 1. Let s be r(-4). Suppose 9*i + s = 14*i. What is the units digit of i?
9
What is the tens digit of -4 + (-2 - -9) - -18?
2
Let b(u) = 7*u - 12. Let d(g) = 6*g - 11. Let j(t) = -5*t**2 + 1. Let i be j(1). Let l(q) = i*b(q) + 5*d(q). What is the units digit of l(6)?
5
Let w(v) = 5*v - 7. Let c be w(5). Suppose 4*t + 2 - c = 0. Suppose 0 = -5*l + 4*m + 45, 13 = t*l - 2*m - 23. What is the units digit of l?
9
What is the units digit of 0 + (1 - -62) - (-38 - -37)?
4
Let n be -12*(-3)/9*1. Suppose -5*g + r - 1 = 4*r, n*g - 14 = 5*r. Suppose 2*s + g - 13 = 0. What is the units digit of s?
6
Let u(k) = 28*k**2 - 6*k - 6. What is the units digit of u(-3)?
4
Let d = 12 + -8. Let v be (-2)/(-5) + 4/(-10). Suppose -d*z + 41 + 19 = v. What is the units digit of z?
5
Suppose 3 = 3*v - 12. Suppose 0*i + 65 = v*i. What is the tens digit of i?
1
Suppose 3*f = 2*y + 336, -4*y = 2*f - 0*y - 240. What is the tens digit of f?
1
Let d(l) be the first derivative of -l**4/4 - l**3 - l**2 - 4*l + 4. Let n be d(-3). Suppose 0 = z - u - 7, -z - 4*u + 4 = n. What is the units digit of z?
6
Let u(z) = z**2 - z + 59. What is the tens digit of u(0)?
5
Suppose -r + 103 = 5*s - 16, 3*s + 5*r - 67 = 0. What is the tens digit of s?
2
Let g = 26 + -16. Suppose 6*z + 176 = g*z. What is the tens digit of z?
4
Let c = 5 - 2. Let d(f) = f**3 - 2*f**2 + 4*f. What is the tens digit of d(c)?
2
Let f(z) = 12*z - 1. What is the tens digit of f(2)?
2
Let i(r) = r**2 + 1. What is the tens digit of i(6)?
3
Let y(k) = k**3 + 8*k**2 + 4*k - 5. What is the units digit of y(-7)?
6
Suppose j - 1 = 3. Let m = j + 9. Let k = m + -7. What is the units digit of k?
6
What is the units digit of -2 - -1 - (-1 + -10)?
0
Let c(a) = 31*a. Let k be c(-2). Let p = -38 - k. Suppose -p = -4*u - 5*g, -2*u - u + 18 = -3*g. What is the units digit of u?
6
Let q = -68 + 91. What is the tens digit of q?
2
Suppose -2*j - 8 = -a, 2*j - 4 - 4 = -3*a. Suppose -4*k + 12 = z + z, -4*k + a*z + 36 = 0. Suppose 6*f + k = 3*f + 4*l, 4*l = 8. What is the units digit of f?
1
