1. What is the units digit of t/6 - 4/(-12)?
7
Suppose -115 = -2*x - 5*v, -3*x - 2*v + 168 = v. Let n be 12/(-15)*x/(-2). Let j = n - 10. What is the tens digit of j?
1
Let y = 121 + -79. Suppose 3*q - y = -k, -5*k - 6*q = -2*q - 177. What is the units digit of k?
3
What is the units digit of 0 + 85 + -1 - (-4)/(-2)?
2
Let m(t) = 7*t. Let v be m(1). Let u = v + -5. Let g = 13 + u. What is the units digit of g?
5
Let y(t) = t**3 - 8*t**2 - 8*t + 1. Let a be ((-2)/(-3))/(12/162). What is the tens digit of y(a)?
1
Let y(z) = -3*z - 13. What is the tens digit of y(-12)?
2
Let z(d) = 25*d. Let y be z(2). Suppose -y = -4*j - 18. What is the units digit of j?
8
Let c = -172 - -345. What is the units digit of c?
3
Suppose -2*g = 4*l - 172, -5*l + 74 = -3*l - 5*g. What is the tens digit of l?
4
Let n(p) = -p. Let s be n(-2). Suppose s*g - 3 = 1. Let k = g - -2. What is the units digit of k?
4
Suppose -v + y = -y - 15, 53 = 4*v - y. What is the units digit of v?
3
Suppose 3 = -8*p + 1699. What is the hundreds digit of p?
2
Suppose 9*c - 1565 = 4*c. What is the tens digit of c?
1
Let p be (-6)/(-27) + 313/9. Suppose 5*g - p = -3*c, -4*c + 2*c = 0. What is the units digit of g?
7
Let p = 18 - 12. What is the units digit of (p/6)/(2/22)?
1
Suppose c + 3*c + 28 = 4*q, -2*q - 4*c = -2. Let y = q + -1. What is the units digit of y?
4
Let m(s) = 3*s - 7. What is the tens digit of m(7)?
1
Let s be 3 + 0 + (1 - 3). What is the tens digit of 16 - s/(1/3)?
1
Let y(s) = -s**2 + 11*s - 6. Let v be y(10). Suppose 5*w = -v*n + 60, -n + 30 = 4*w + w. What is the tens digit of n?
1
What is the tens digit of 6620/70 + 8/(-14)?
9
Suppose 3*t + 3*m - 45 = 2*t, -t + 20 = -2*m. Let v be ((-252)/t)/(2/(-10)). Suppose q = 0, -5*k - 4*q + v = -2*k. What is the units digit of k?
4
What is the tens digit of 2/(-8) - (-372)/16?
2
Suppose 0 = -i - h + 23, -4*i + 3*h + 32 = -46. What is the units digit of i?
1
Let n be ((-2)/5)/(1/15). Let c(o) = -o**3 - 5*o**2 + 4*o - 7. Let p be c(n). Suppose -2*f - 3*f + p*w + 35 = 0, -4*f = w - 38. What is the units digit of f?
9
Let k be (-1 + 0)/((-1)/12). Suppose -3*i = -i + k. Let t(w) = w**2 + 4*w - 2. What is the tens digit of t(i)?
1
Let p = 36 + -26. Let x(g) = g + 15. Let h be x(-11). Suppose h*d - p = -d. What is the units digit of d?
2
Let i(y) = 2*y**3 + 0*y**3 + 2*y + 8*y**2 + 10 - y**3 + 2*y**2. Let l be i(-10). What is the tens digit of 6/l + 438/30?
1
Suppose -3*s + 108 = -0*s. Suppose 0 = 2*d - 4*d + s. What is the tens digit of d?
1
Suppose o - 2 - 2 = 0, 4*o = -4*k + 208. What is the units digit of k?
8
Suppose -2*q + 22 - 112 = 0. Let d = 66 + q. What is the tens digit of d?
2
Let s(u) = u**3 + u**2 - 2*u + 1. Let r be (4/(-5))/(4/(-10)). Suppose 2*f + r = f. What is the units digit of s(f)?
1
Suppose -5*a + 317 = 2*i, -5*i - 2 - 18 = 0. What is the units digit of a?
5
What is the tens digit of 10/(-15)*582/(-4) + -3?
9
Let h(p) = -4*p - 1. Let d(k) = -k. Let y be d(3). Let l be h(y). Suppose -5 = 2*b - l. What is the units digit of b?
3
Let w = 1 - -2. Suppose 9 + 6 = w*c. What is the units digit of c?
5
Let w be ((-1)/(-2))/(2/(-32)). Let z(t) = t**2 + 7*t - 6. What is the units digit of z(w)?
2
Suppose 0 = h - 5*i - 12, -h + 2 = 3*i + 6. Let y be h/(-3) + (-136)/(-24). What is the units digit of (-4)/10 - (-7)/y?
1
Suppose -18 + 6 = -3*a. Let t(n) = n**3 - 3*n**2 - 2*n - 1. What is the units digit of t(a)?
7
Let f(i) = i**2 - 11*i + 3. Let u be f(11). Suppose -4*j + 22 = 2*r, -u*r + 0*r + 58 = j. What is the tens digit of r?
2
Suppose -3*j = -7 + 19. Let r = 4 + j. Suppose b + 5 = 3*z, -3 = 3*b - r*z - 3*z. What is the units digit of b?
1
Let q = 11 + 16. Suppose -18 = -2*i + d + q, 87 = 4*i - 3*d. Suppose -o + 11 = 2*m - 1, m - i = -2*o. What is the units digit of o?
2
Suppose 0 = n - 3*t - 82, 3*n = -n + 4*t + 288. What is the units digit of n?
7
Suppose 5*m = -0*q - 3*q + 30, 15 = 3*q. Suppose 8*w - 5 = m*w. What is the units digit of w?
1
Suppose 0 = -4*d + 2*k - 7*k + 250, -4*d + 254 = 3*k. Suppose 4*a = -a + d. What is the units digit of a?
3
Suppose 2*p - 7 = -3*s + 2*s, 4*s = 3*p - 5. Let i be (-50)/(-6) + (-1)/p. Suppose 2*j - 6*j = -i. What is the units digit of j?
2
Suppose 318 = 5*q - 72. What is the tens digit of q?
7
Let w be (-2)/((-9)/(-6) + -2). Suppose -l - 2*l + z = -14, 5*z = w*l - 37. What is the units digit of l?
3
What is the tens digit of ((-174)/(-9))/((-2)/(-3))?
2
Let w(s) = 7*s**2 + s - 1. Let d be w(1). Suppose k - 2*a + 21 = -4*k, -a = k + d. Let f = k + 10. What is the units digit of f?
5
Suppose 0 = -5*j - 2 + 12. Let g = j - -15. What is the tens digit of g?
1
Let o(f) = -32*f - 111. What is the tens digit of o(-15)?
6
Suppose -195 = -3*q - 2*q. What is the tens digit of q?
3
Let n(k) be the third derivative of k**4/24 + 7*k**3/6 - 3*k**2. Let o be n(-5). Suppose o*h - 3 = -h. What is the units digit of h?
1
Suppose 5*p + 5*y = 30, -2*p - p = -y - 14. Suppose j = 5*t - 17, -2*j = p*t + 3*j - 5. What is the units digit of t?
3
Suppose -p + 0*p + 25 = -4*m, 0 = -p + 2*m + 15. Let w = p - 4. Suppose -29 = -4*q + u, 0 = -2*u + w - 11. What is the units digit of q?
6
What is the units digit of 2/(-11) + 5648/88?
4
Let q = -25 - -18. Let p(t) = t + 15. What is the units digit of p(q)?
8
Let s(v) = -2*v**3 - 9*v**2 - 5*v + 20. What is the tens digit of s(-7)?
0
Suppose -3*i + 0*i = 24. Let n = -4 - i. Suppose n = -d + 2*d. What is the units digit of d?
4
Suppose 2 = 5*f - 3*u + 6, 0 = f - u + 2. Let t(n) = 1 - 25*n**2 + 15*n**2 + 16*n**2. What is the units digit of t(f)?
7
Let a(m) = 13*m + 5. What is the units digit of a(3)?
4
Let d be -9*3/6*-28. Let o be ((-5)/2)/(-5)*d. What is the units digit of (2/(-3))/((-6)/o)?
7
What is the units digit of 10/(-65) + 444/13?
4
Let p = 35 - 2. Let m be (2/(-3))/((-1)/(-27)). Let j = p + m. What is the units digit of j?
5
Let p(x) = -90*x**3 + x - 1. Let q be p(1). Let m = -64 - q. What is the units digit of m?
6
Suppose -6*p = -222 - 216. What is the units digit of p?
3
Suppose -5*p + 214 = -2*u, -4*p + 3*u = p - 216. What is the tens digit of p?
4
Let c(t) = -t**3 - 14*t**2 - 17*t + 15. What is the units digit of c(-13)?
7
Suppose -b - 2*a + 3 = 0, a = -0*b + 4*b - 3. What is the units digit of b?
1
Let m(s) = s**3 - 5*s**2 + 2*s + 4. Let t be m(4). Suppose 4*z + 0 + 44 = 0. Let h = t - z. What is the units digit of h?
7
Suppose 5*b + 164 = u + 40, 0 = b. What is the tens digit of u?
2
Let m = 48 + -102. Let t = m + 82. What is the tens digit of t?
2
Let m be ((-11)/33)/(1/(-9)). What is the units digit of (1 - 4) + m + 26?
6
Suppose -18 = 5*s - 3*k + 6, 0 = -4*k - 8. Let l = 29 + s. What is the units digit of l?
3
What is the hundreds digit of (118/6)/((-2)/(-12))?
1
Suppose 5*g = 26 + 469. What is the tens digit of g?
9
Suppose 2*f + z = 40, 0 = -4*f + 2*z + 38 + 26. Let q be (2 + f)*4/10. Suppose -p + 3*p = -q, -2*l + 4*p = -24. What is the units digit of l?
4
Suppose a + a - 12 = 0. Suppose -o - 130 = -a*o. Suppose 0 = -3*g + g + o. What is the units digit of g?
3
Let z = -216 - -313. What is the units digit of z?
7
Suppose 12*w = 17*w - 150. What is the tens digit of w?
3
Let r = -3 - -7. Let o(f) = f**3 - 4*f**2 + 4*f - 4. What is the units digit of o(r)?
2
Let a(j) = -2*j + 12. Let z be a(-9). Suppose -z = -4*o + o. What is the tens digit of o?
1
Let v(n) = 5*n - 1. What is the tens digit of v(19)?
9
Let z(g) = g**3 + 5*g**2 - 4*g - 1. Let p be z(-5). Suppose -3*q + 2*r = r - 21, -2*q + p = r. What is the units digit of q?
8
Let d(a) = -a**3 - 8*a**2 - 6*a + 14. Let f be d(-6). What is the tens digit of (-708)/(-22) - (-4)/f?
3
Suppose 3*h = -5*o - 12, 2*h + o = 3*o + 8. Let b be ((-1 - -1) + h)*9. What is the units digit of -2 - 3/(b/(-30))?
8
Suppose -7*y = -4*y - 6. Let j(r) = 2 - 4*r + y - 2 + 2*r**2. What is the units digit of j(3)?
8
Suppose -252 = -4*s + 4*d, -2*s = -2*d - 3*d - 141. What is the units digit of s?
8
Let l(f) = 4*f + 2. Let c be -2 + 20/(-6)*3. Let w be (9/c)/((-2)/8). What is the tens digit of l(w)?
1
Let m be 7 - (-2 + 6/2). Let u = m + -3. What is the units digit of u?
3
Let z(s) = -5*s - 3. Let g be z(-3). What is the units digit of 1 + 0 + g - -1?
4
Let k = -1 - -50. What is the tens digit of k?
4
Let v(z) = z**3 + 6*