et a = j - i. What is the units digit of a?
3
Let q(p) = p**2 + 7*p + 7. Let g = -16 - -9. Let i be q(g). Suppose -3*k - s = 2*k - 16, -i = -3*k + 2*s. What is the units digit of k?
3
Suppose -h = h - 4. Suppose -h*z + 5*u - 2 = 0, -5*z - 3*u + 16 + 10 = 0. Suppose -31 = -z*w + 13. What is the tens digit of w?
1
Let q(f) = -2*f - 4. Let b be q(-4). Let n = b + -5. What is the units digit of ((-2)/6)/(n/6)?
2
Let s(u) = -u**2 - 5*u. Let f be s(-6). Let p be (-85)/(-3) + (-4)/f. Let h = p + -17. What is the tens digit of h?
1
Suppose 31*k = 30*k + 67. What is the units digit of k?
7
Let r = 67 + -37. What is the units digit of r?
0
Let m(a) = a**3 - 4*a**2 + 3*a + 2. Let i be m(3). Suppose s = 2*s - i. Suppose -z + 2 = -2*d + 3*z, -3*z - 1 = -s*d. What is the units digit of d?
5
Let u be (10 + -1)*8/6. Let p(z) be the second derivative of -z**3/6 + 12*z**2 - 2*z. What is the units digit of p(u)?
2
Let i(d) = d**3 - 8*d**2 - d + 11. Let f be i(8). Let v be 2/6 + f/(-9). Suppose -12 = -v*n - 2*n. What is the units digit of n?
6
Suppose -4*p = -2*p - 92. What is the tens digit of p?
4
Suppose 9*a - 5*a = 36. What is the units digit of a?
9
Suppose 3 + 21 = -4*f. What is the tens digit of 6/f + 1*12?
1
Suppose -3*l = 17 - 2. Let q(p) = p**2 + p - 7. What is the tens digit of q(l)?
1
Suppose -2*a + 0*a - j + 31 = 0, 4*a + 5*j - 65 = 0. Suppose -3*o + 2*r = -24, -4*r - a = -3*o + r. What is the tens digit of o?
1
Suppose -2*h + 5 = -1. Suppose h*g - 36 = -g + k, 4*k = 16. Suppose -r = -3*r + g. What is the units digit of r?
5
Let c(q) = 2*q**2 + 4*q + 2. Let m be c(-2). What is the units digit of (-60)/(-24)*20/m?
5
Suppose -2*v = -0*w - 3*w, 28 = 2*v + 4*w. What is the units digit of v?
6
Let v(r) = -r**3 - 8*r**2 - 9*r - 1. What is the units digit of v(-8)?
1
Let l(i) = i**2 - 4*i - 10. What is the units digit of l(7)?
1
Let t(o) = 93*o + 1. What is the units digit of t(1)?
4
Suppose 2*r + 0*r = 0. Suppose -o - 2*b + 20 = r, 3*o = 7*o - 2*b - 40. What is the tens digit of o?
1
Let l(w) = -11*w + 1. Let p be l(-1). Let k = p + 2. What is the units digit of k?
4
Let t(v) = -24*v + 12. What is the tens digit of t(-3)?
8
Suppose 0 = -2*t + 233 - 49. What is the units digit of t?
2
Suppose -u = 6*u - 1617. What is the units digit of u?
1
Suppose -3*m - 12 = -0*m. Let h be (112 + -2)*(-2)/m. Suppose -7 = 4*i - h. What is the units digit of i?
2
Let v be (10/(-5))/((-3)/6). Suppose -1 = v*j - 33. What is the units digit of j?
8
Let n be 2*((-4)/(-2) + 1). Suppose -4*d - 8 = 4*b, 0 = b + 3*d + n. Let r = b + 6. What is the units digit of r?
6
Let y = 98 + -54. What is the tens digit of y?
4
Suppose -3*z + 0*z = 0. Suppose z = x - 11. What is the units digit of x?
1
Let y(a) = -a**2 + 6*a - 1. Let b be 3 + (0 + 1)*2. What is the units digit of y(b)?
4
Let y = 2 + -20. Let h be (-4)/y - 142/(-9). Let u = 23 - h. What is the units digit of u?
7
Suppose 5*u - 5*o + 5 = 0, 2*o - 2 + 0 = -4*u. Suppose -5*c = 5*h - 215, u = 2*c + 2*c - 4*h - 148. What is the units digit of c?
0
Let h = 136 - -78. What is the tens digit of h?
1
Let d(p) = p**3 + 9*p**2 + 4. Let m be d(-9). Suppose u - m*u = -6. What is the units digit of u?
2
Let i(a) = 4*a - 4*a + 2*a + 4 + 4. What is the units digit of i(0)?
8
Suppose 0 = -5*u - 0*u + 270. What is the tens digit of u?
5
Let k(w) be the second derivative of w**4/12 - 7*w**3/6 + 2*w. Let a be k(7). Suppose -3*c + 3*p = -a*c - 33, 2*c - 6 = -2*p. What is the units digit of c?
7
Let y(b) = -b**3 + 3*b**2 + 3*b + 1. What is the tens digit of y(3)?
1
Let h(b) = -2*b + 2. Suppose -2*z + 19 = z + 5*v, 5*z + 4*v = 10. Let a be h(z). Suppose -4*o = 2*p - 28, -p - a = -o + 7. What is the units digit of o?
9
Let c = 27 - 12. What is the tens digit of c?
1
Let d(s) = 8*s - 1. Let p be d(2). Let o be 2/4 - p/(-6). Suppose -q + 12 = o*u - 5*q, 4*u = 3*q + 16. What is the units digit of u?
4
Suppose 2*p - 9 = -1. Let c be 70/p + 3/6. Suppose 2*j = j + c. What is the tens digit of j?
1
Suppose 4*p - 4*m - 272 = 0, 4*p + 0*m = 2*m + 266. What is the units digit of p?
5
What is the units digit of 118 + 3 + -3 + -3?
5
Let q(z) = -2*z**3 - 7*z**2 - 7*z - 4. What is the tens digit of q(-4)?
4
Suppose -5 = -3*z + 2*z. What is the tens digit of (z*-1)/((-7)/21)?
1
Let d = 2 + 1. Let p be (d - 0) + -1 - -2. Suppose -p = -x + 2. What is the units digit of x?
6
Let o = 760 - 342. What is the units digit of o?
8
Let n = 84 + -33. What is the units digit of n?
1
Let v(u) be the second derivative of -u**4/12 + u**3 - 3*u**2/2 + 3*u. Let d be v(4). Suppose 3 + d = 4*h. What is the units digit of h?
2
Let w(h) = -6*h**2 + h + 1. Let l be w(-2). Let b = l - -49. What is the units digit of b?
4
Let w(s) = s**2 + 2*s + 3. Let n(z) = -z. Let b(x) = -3*n(x) + w(x). Let l be b(-2). What is the units digit of (3 - l)*1/2?
3
Let d(g) = 3*g**3 + 2*g**2 + 0*g**3 + 6 - 2*g**3 - 2*g**3 + 7*g. Let n be d(-4). Suppose -4*y - 22 = -n. What is the units digit of y?
3
Let p be 0/((-4)/(-8)*4). Suppose -c + 27 = -p*c. What is the units digit of c?
7
Let n(r) = 4*r**2 + 9*r - 2. What is the tens digit of n(-5)?
5
Let z(c) = c**2 + 2*c - 5. Let q be z(-4). Let g = 5 + -3. Let m = q - g. What is the units digit of m?
1
What is the units digit of (-1126)/(-14) + 76/133?
1
Let b be (1 + -1)/((-1)/1). Let c(p) = p**2 + 10. Let q be c(b). What is the units digit of 30/4*8/q?
6
Let y(x) = x**3 + 10*x**2 - 3*x - 6. What is the tens digit of y(-10)?
2
Suppose 2*a - 2*t = 122, 5*a + 0*t - 3*t = 309. What is the units digit of a?
3
Let x = 24 - 9. What is the units digit of x?
5
Suppose -3*h + 10 = 2*h. Suppose -5*f + 176 = -0*c - h*c, 40 = f + 2*c. What is the tens digit of f?
3
Suppose -4*n = -4*p + 252, 145 = 4*p - n - 95. What is the units digit of p?
9
Let d(y) = -y - 10. Let l be d(-10). What is the tens digit of ((-87)/(-9) + l)*3?
2
Let i = -374 + 636. What is the units digit of i?
2
Suppose -2*x + 0*x + 240 = 0. Suppose -o = -5*o + x. What is the units digit of o?
0
Suppose 4*o = -3*d + 1178, -o + 312 = -5*d + 29. What is the tens digit of o?
9
What is the units digit of (-8)/(-36) - 572/(-18)?
2
Let t = -10 + -4. Let j = t - -8. What is the tens digit of (-88)/j + (-6)/9?
1
Suppose -4*v = -2*n - 190, -6*v + 2*v - 4*n + 196 = 0. What is the units digit of v?
8
Suppose n + 1 = -0*n. Let a = n - -7. What is the units digit of a?
6
Let l(g) = g**2 + 6*g - 10. What is the hundreds digit of l(11)?
1
Suppose 0 = -5*q + 4*i - 3*i + 332, -6 = -2*i. What is the units digit of q?
7
Let b = -3 + 68. What is the tens digit of b?
6
Let c = 4 + -2. Suppose y = c*d - y - 10, -5*d = -3*y - 21. What is the units digit of d?
3
Suppose -35 = 2*j - 3*j. What is the tens digit of j?
3
Suppose -8 = -2*h + 2. Let q(n) = n**2 - 4*n - 7. Let k be q(h). What is the units digit of ((-8)/(-10))/(k/(-5))?
2
Let h(o) be the first derivative of -o**4/4 + 8*o**3/3 - 3*o**2 + 5*o - 1. What is the tens digit of h(7)?
1
Let n(z) = 10*z**2 + 2*z - 1. What is the units digit of n(-2)?
5
What is the tens digit of (-2)/(-9) + (-232)/(-9)?
2
Let y be (-104)/(-3) + (-1)/(-3). Let q = 29 + -24. Suppose -q*a + 20 = -y. What is the units digit of a?
1
Suppose o - 1 = -5. Let l = -15 + 23. What is the units digit of o/(l/(-10))*1?
5
Suppose 5*o + 4*c = 186, 5*c - 33 = -o - 0*c. What is the units digit of o?
8
Let p = -102 - -179. What is the tens digit of p?
7
Suppose w = 6*w. Suppose 4*c + w*c = 5*m - 6, 0 = -2*m + 3*c + 1. Suppose -4*n + 20 = 0, 3*t + m*t - 5*n = -15. What is the units digit of t?
2
Let f(r) = r**2 - 8*r - 1. Let u be f(6). Let z = -4 - u. Let p = -7 + z. What is the units digit of p?
2
Let t(u) = 3*u - 13. Let a be t(6). Suppose a*l = -5*m + 40, -4*l + 32 = -2*m - 6. What is the units digit of l?
9
Let d(i) = 2*i - 4. Let a be d(3). Suppose 4*v - 4*f = 60, 67 = 7*v - a*v - f. What is the units digit of v?
3
Let m(a) = 0*a + 3 - 2*a**2 + 3*a**2 - a. Let r(b) = b - 7. Let d be r(7). What is the units digit of m(d)?
3
Suppose -36 = -5*p + 64. What is the units digit of p?
0
Suppose 0 = -4*x - 2*g - 3 + 27, -5*x - 4*g = -33. Suppose 2*s - 1 = -k - 0, x = 5*k - 3*s. What is the units digit of (5 + k)/(3 - 2)?
6
Suppose 533 = 3*z - 5*s, 4*z + 4*s = 741 - 9. What is the units digit of z?
1
Suppose -3*x + 7*x