12)?
1
Let w(d) = d + 4. Let x be w(-6). Suppose -3 = 3*q - 4*s + 5*s, q + 3*s = 7. What is the units digit of -2 - (-6 - x) - q?
4
Let f be (-12)/(-7) + 4/14. Suppose 0 + 4 = -4*p, p + 15 = f*k. Suppose 5*u = 0, 3*l + 60 = k*l - 3*u. What is the tens digit of l?
1
Let w(i) = i**3 - 7*i**2 + i - 7. Let t be w(7). Suppose t*p = 5*p - 80. What is the tens digit of p?
1
Suppose -w - y = -1, -w - y + 9 = -2*y. Let n = w - 2. What is the units digit of n?
3
Suppose -4*q = 2*o, -16 = -o - 4*o - 2*q. Suppose 0 = -i - 0*b + 4*b + o, 5*i - 2*b - 56 = 0. What is the units digit of i?
2
Let y(i) = 7*i**2 + 10*i + 38. What is the hundreds digit of y(-6)?
2
Let r(k) = -k**3 + 7*k**2 + 2*k - 4. Let o(b) = b. Let a be o(7). What is the tens digit of r(a)?
1
Let n(m) = 3*m**2. Let t be n(1). Suppose 2*b - 25 = -t*b. What is the units digit of b?
5
Suppose u - 10*a - 101 = -7*a, -a = u - 117. What is the hundreds digit of u?
1
Let g(q) = q**3 - 5*q**2 - 4*q - 8. Suppose v - 2*v = 2*l - 3, v - 10 = 5*l. Let o = 11 - v. What is the units digit of g(o)?
4
What is the tens digit of 52/39*(-45)/(-2)?
3
Suppose -2*q - n + 2*n + 160 = 0, 5*q - 422 = -3*n. What is the tens digit of q?
8
Let o = -8 - -3. Let s be (-22)/o - (-8)/(-20). What is the tens digit of (-138)/(-14) - s/(-28)?
1
Let w be ((-56)/(-6))/(5/15). Let o(f) = -f**2 + 7*f - 5. Let v be o(7). What is the units digit of (-2)/v + w/5?
6
Suppose 0 = k - 3*w - 364, 525 = 2*k + 3*w - 248. What is the units digit of k?
9
Suppose 5*n + 2*w = -4, 22 = -5*n + 6*w - 2*w. What is the units digit of (-156)/(-27) + n/(-9)?
6
Let h(w) = -w - 2. Let f be h(-3). Suppose -19 - f = -4*a. What is the units digit of a?
5
Suppose -8 + 26 = 3*z. What is the units digit of z?
6
Suppose n - 155 = -h - h, -4*h + n = -295. What is the tens digit of h?
7
Let s(f) = -f**2 + 5*f + 11. Suppose 0 = 2*g - 14 - 2. Let c be s(g). Let o = -8 - c. What is the units digit of o?
5
Suppose 12 - 2 = 5*p. Suppose 2*h = p + 4. What is the units digit of h?
3
Let q be (-6)/14 + 1188/28. Let p = -29 + q. What is the units digit of p?
3
Let u(x) = -x**3 - 12*x**2 - 15*x - 10. Let z be 6/10 + (-406)/35. What is the units digit of u(z)?
4
Let i be 1/(-2) + (-84)/8. Let f = 3 - i. What is the tens digit of f?
1
Suppose -97 = -2*q - 27. What is the units digit of q?
5
Let v = 16 - 1. Suppose v = -0*q + q. What is the units digit of q?
5
Let k be 0*(1/1 + 0). Suppose -4*x = -4*p - 8*x - 20, 4*x + 8 = k. What is the units digit of (-9)/p*1/1?
3
Let h(b) be the second derivative of b**5/20 - 3*b**4/4 - b**3/6 + 5*b**2 - b. What is the units digit of h(9)?
1
Let f(i) be the third derivative of i**5/60 - i**4/6 - i**3/2 - 2*i**2. Let x be f(5). Suppose 50 = x*u + 3*u. What is the units digit of u?
0
What is the hundreds digit of (159/12)/((-1)/(-8))?
1
Suppose 4 = 2*v - 0. What is the units digit of (-1 - v)/(7/(-14))?
6
Let l(t) = 5*t + 13. Suppose r + 11 = 2*r. Let m(j) = -9*j - 25. Let f(g) = r*l(g) + 6*m(g). What is the units digit of f(8)?
1
Let m be 1 - 0 - (14 + -1). Let z be 1 + -1 + m/(-1). Suppose b - z = 3*a - 2*b, -5*a = -b. What is the units digit of a?
1
Let f be 168/(-9) + (-1)/3. What is the tens digit of 1 - (f + -2) - -3?
2
Suppose -2*f + 5 - 1 = 0. Suppose -t - 5 + f = 0. Let r(c) = -c**3 - 2*c**2 + 3*c + 1. What is the units digit of r(t)?
1
Suppose -55 = -3*z - 7. Suppose 2*n - z = -3*q, -q - 3*n = q - 19. Suppose c = -c + q. What is the units digit of c?
1
Let z = -13 - -16. Suppose s - 60 = -4*g + 5*s, 57 = z*g + s. What is the units digit of g?
8
Let q be 684/20 + 1/(-5). Suppose 3*p = 5*x - 20, 3*p + 5*x + q = 3*x. What is the units digit of (4/(-10))/(1/p)?
4
Let a be (-6)/(6/(-2))*20. Suppose v = -5*m + 31, -v = -4*m + 2*v + a. What is the units digit of m?
7
Let o be 5/2 - (-3)/2. Let f(v) = v**2 - 3*v + 1. What is the units digit of f(o)?
5
Suppose 0 = -104*j + 103*j + 183. What is the hundreds digit of j?
1
Suppose 2*o = -0*o. Suppose o*x + x - 11 = 0. What is the units digit of x?
1
Let z = -63 + 95. What is the tens digit of z?
3
Let c = 169 + -61. What is the units digit of c?
8
Suppose 4*o + 0*j - 2*j = 454, -2*j = -6. Suppose -25 + o = 3*m. What is the units digit of m?
0
Let p = 4 - 3. Suppose 26 = 5*r + p. Let w(v) = v**3 - 5*v**2 - v + 7. What is the units digit of w(r)?
2
Suppose -8 = 4*h, -8 = 3*m + 5*h + 11. Let q = 3 + m. What is the units digit of (8 + -5)/(q + 1)?
3
Let c(q) = -5*q - 15. What is the units digit of c(-9)?
0
What is the tens digit of (1038/(-15))/((-1)/(-5)*-2)?
7
Let y(g) = -g**3 + 6*g**2 + 9*g - 10. Let k be y(7). Suppose d - 1 = -k. What is the units digit of (-1 + d)/((-4)/8)?
8
Let u(m) = -4*m - 17. Let l be u(-12). Suppose -3*y - l = -i, 0*i + 5*y - 23 = -i. What is the tens digit of i?
2
Let t = -302 + 489. What is the tens digit of t?
8
What is the tens digit of 5*((-6)/1)/(-2)?
1
Suppose -s - x = -0*x, -5*s = 3*x - 4. Let l = s - -9. What is the units digit of l?
1
Suppose -y - 3*y + 48 = -u, -u + 29 = 3*y. What is the units digit of y/(3 - 2 - 0)?
1
Let j = -2 - 0. Let c be ((-3)/j)/(3/44). Suppose 0 = 4*n - t - t - 26, 3*n - c = t. What is the units digit of n?
9
Let v(k) = k**2 - 5*k - 6. What is the tens digit of v(14)?
2
Let x = 13 - 18. Suppose 4*s = -s - 15. Let t = s - x. What is the units digit of t?
2
Let m = -20 - -37. What is the tens digit of m?
1
Let f(b) = -b**3 + 3*b**2 - 4. Let w be f(3). What is the tens digit of (-84)/w + -2 + 1?
2
Let t = 213 + -114. What is the units digit of t?
9
Suppose 2*k - 12 = -2*k. What is the units digit of 126/(-28)*(-20)/k?
0
Let m = 140 + -84. Let r = -36 + m. What is the tens digit of r?
2
What is the units digit of 6/(-8) - 796/(-16)?
9
Let t be 8 + -6 + -11*1. Let h(n) = 2 - 5*n + 4 - n**2 - 4*n. What is the units digit of h(t)?
6
Let q(v) = v + 6. Let t be q(7). Let r = t + 5. What is the tens digit of r?
1
Let z(r) = -r - 7. Let q be z(-3). Let t be q/(-6)*(-9)/(-2). Suppose -t*c = -9, -3*x - 3*c + 2*c = -24. What is the units digit of x?
7
Suppose 3*p - 15 = -2*p. Let t be 42/9 - 2/p. What is the units digit of t - -2*1 - -2?
8
Let y = -3 + 5. What is the units digit of y?
2
Suppose -2*v = v + 12. Let m(y) = y**3 + 5*y**2 + 3*y - 1. What is the units digit of m(v)?
3
Suppose 0 = -2*t - t + 27. Suppose t*o - 4*o - 65 = 0. What is the units digit of o?
3
Suppose -6 = 6*r - 54. Suppose 4*o - 23 = -5*a, -3*a - 1 = -o - r. What is the units digit of o?
2
Suppose x - 12 = -4*x - 3*z, 0 = -3*x - 3*z + 6. Suppose 0 = x*r - 5*r + 22. What is the units digit of r?
1
Let d = -1 - -2. Suppose 0 = m - d. Let q = 5 + m. What is the units digit of q?
6
Let o = -270 - -386. What is the units digit of o?
6
Suppose 6*u = -4*x + u + 28, -24 = -4*x - 4*u. Suppose -3*o + 90 = x*o. What is the tens digit of o?
1
Let l(d) = -5*d + 4. Let m be l(-7). Let a = -19 + m. What is the units digit of a?
0
Let h(d) = 2*d + 5. Let f be h(-7). Let m = -7 - f. What is the units digit of m?
2
Let g = -3 - -4. Let w(d) = -d**3 + d. Let u(t) = 2*t**3 - t**2 - t - 1. Let x(a) = -u(a) - 3*w(a). What is the units digit of x(g)?
1
Suppose -5*k = 5, 2*w - 5 = -3*k - 0*k. What is the tens digit of w/(-8)*6 + 14?
1
Let s(z) = z**3 - z**2 - 3*z - 1. Let w be s(-2). Let j = w + 13. What is the units digit of j/9 + 44/6?
8
Let s = 3 - 3. Suppose -2*j - 1 - 1 = -4*y, j - 5*y + 13 = s. What is the units digit of j?
7
Let j be (-18)/(-15)*20/8. What is the units digit of (8 - (-6)/j) + -2?
8
Let j(w) = 4*w**3 - w**2 + 9*w - 3. What is the tens digit of j(3)?
2
Suppose -y = -4*y + 15. Suppose -2*t + 20 + 1 = y*h, 3*h + 3*t - 9 = 0. Suppose -45 = -5*c - 5*k, -3*k = h*c - 4*c - 11. What is the units digit of c?
8
Let l(i) = -i + 3. Let v be l(0). Suppose -v*s + 25 = 2*s. What is the units digit of s?
5
What is the units digit of (8/12)/((-4)/(-1806))?
1
Suppose -4*d - 110 = -3*v, 12 = -3*d + 6*d. What is the tens digit of v?
4
Suppose 4*x = 5 + 3. Suppose x*s + 5 = -h - 3, 5*s + 15 = -5*h. Suppose h*v + 12 = 3*v. What is the tens digit of v?
1
Let t = -12 - -21. What is the units digit of t?
9
Let h(a) = 2*a**3 - 8*a**2 - a + 4. Let j be h(7). Let i be j/15 - 4/10. Suppose 4*c + 5*f = i - 8, 0 = 5*c - 4*f - 65. What is the units digit of c?
9
Let t be 0 - (3 - 2) - -17. Suppose l + 3*