
1
Suppose 9 = -4*u + d + 4*d, -u - 5*d = -4. Let z = 5 + u. Suppose -3*q = h - 6*q - 17, 0 = z*q - 8. What is the tens digit of h?
2
Let l(q) = -265 + 3*q**2 - 102*q**3 - q + 264 - 2*q**2. What is the units digit of l(-1)?
3
Suppose -14*s + 29577 = -187. What is the units digit of s?
6
Suppose -5*x + 8*x = 492. Suppose -y + x = 3*y. What is the tens digit of y?
4
Suppose 0 = 5*t + 3*r - 292 - 10, -r + 4 = 0. What is the tens digit of t?
5
Let f = -175 + 272. What is the tens digit of f?
9
Suppose 3*h - 2*z = -7*z - 15, h - 3 = z. Suppose 0 = 2*w - h*w - 120. What is the units digit of w?
0
Let h(r) = 203*r + 81. What is the tens digit of h(2)?
8
Suppose h + 4*b - 672 = 0, 0 = -2*h - 2*b + 416 + 916. What is the tens digit of h?
6
Let d(r) = -2*r - 12. Let h = -13 - -2. Let n be d(h). What is the units digit of 224/n - 12/(-20)?
3
Suppose 121186 - 6686 = 25*n. What is the tens digit of n?
8
Let f = -43 - -25. Let n = 35 + f. Suppose t = n + 5. What is the units digit of t?
2
Let y be (-2)/(-3) - 1952/(-24). Let a = y - -16. Let c = a + -70. What is the tens digit of c?
2
Let t(a) = 141*a. Suppose 3*c - 2*k - 9 = 0, -4*k - 7 = -c + 6. Let h be t(c). Suppose 5*d = 164 + h. What is the units digit of d?
1
Let u(t) = -179*t - 390. What is the tens digit of u(-20)?
9
Let x(r) = -r**3 + 7*r**2 - 3*r - 3. Let d be ((-20)/(-6))/((-18)/(-27)). What is the tens digit of x(d)?
3
Suppose 6*y = 11*y - 15. Let l be (y/2)/(33/(-22)). What is the tens digit of l/((-3)/12) + 26?
3
Let a(g) = -g**2 + 19*g + 2. Let q = 5 + 12. What is the tens digit of a(q)?
3
What is the hundreds digit of (15/10)/(2/708)?
5
Suppose 38*w + 1191 = 41*w. Suppose -4*j - 5*o + 30 = -w, o = j - 109. What is the tens digit of j?
0
Let w(f) = -f - 1. Let j be w(-1). Let r(g) = -g**2 + 8. Let q be r(j). Let x(k) = -k**2 + 10*k + 2. What is the units digit of x(q)?
8
Let a(d) = 20*d**2 + 11*d - 21. What is the tens digit of a(5)?
3
Let x be (-160)/(-88) + (-6)/(-33). What is the units digit of (-6213)/(-133) - x/(-7)?
7
Let a = -906 - -1405. What is the hundreds digit of a?
4
Suppose -2*f - t + 3*t + 6 = 0, 3*f = t + 13. Suppose -4*p = -16, p = -2*c + f*c - 233. What is the tens digit of c?
7
Let d(h) = -333*h**3 + 4*h + 4. What is the hundreds digit of d(-1)?
3
Let y(t) = t**3 - 46*t**2 + 101*t - 31. What is the tens digit of y(44)?
4
Let k = 440 + 255. What is the hundreds digit of k?
6
Let o be 1 + 1 + (8 - 6). Suppose o*k + 3*q - 142 - 234 = 0, 5*k - 4*q - 470 = 0. Let f = -57 + k. What is the tens digit of f?
3
Let k = -42 - -81. Let t = k + -6. Suppose 4*h - 4*q - 83 - t = 0, -5*h + 118 = 4*q. What is the units digit of h?
6
Let s = -141 + -72. Let x = -304 - s. Let l = -25 - x. What is the tens digit of l?
6
Suppose 4*w - 4*x = 24, w - 9 = -5*x + 9. Suppose w = -4*b, 3*d + 0*b + 132 = 3*b. Let l = d + 99. What is the units digit of l?
3
Suppose -q - 4*n + 3 = 0, -5*q + 5*n + 33 = -q. Suppose -w + 42 = q. Let r = w + -16. What is the tens digit of r?
1
Let o = -6 + 9. Let i = o + 7. Suppose 2*z + 4*f = 28, i*z - 96 = 5*z + 3*f. What is the tens digit of z?
1
Let k = -126 - -534. What is the units digit of k?
8
Let p be (-4)/(3 + -2)*12/(-24). Suppose -b = -2*h + 75, 6*b = p*h + 3*b - 81. What is the tens digit of h?
3
Let n = -24 + 26. Suppose -8*j - 2*h = -4*j - 92, -n*j + 58 = -5*h. What is the tens digit of j?
2
Let k(t) be the second derivative of -t**4/12 + 5*t**3/3 + 6*t. Let x be k(10). Suppose 5*l - 59 - 131 = x. What is the units digit of l?
8
Let x(i) = -i**2 + 8*i + 15. Suppose 16 = 4*q - 12. What is the tens digit of x(q)?
2
Suppose -6 = 2*n, -3*n + 6*n - 3 = -3*v. Let w(d) = 0*d + 6*d**2 - 7*d**3 + v*d**3 + 2*d**3 + 1 - d. What is the units digit of w(3)?
5
Let m be (-3 + 1)*(-900)/(-40). Let k = -72 - m. Let a = k + 58. What is the tens digit of a?
3
Let q = -3251 - -4566. What is the units digit of q?
5
Let k be (-10)/1*434/35. Let x = 180 + k. What is the tens digit of x?
5
Let f(b) = -b**2 - 2*b + 27. Let x be f(-6). Suppose -19 = -x*z + 8. What is the units digit of z?
9
Let b(a) = -2*a**3 + 5*a**2 + 3*a + 2. Let f(z) = z**2 - 6*z + 3. Let m be f(6). What is the units digit of b(m)?
2
Let o(g) be the first derivative of -g**4/2 - 2*g**3/3 - 2*g - 7. Let w be o(-2). Suppose 0 = 7*j - w*j - 50. What is the tens digit of j?
5
Let d(a) = -a + 1. Let u be d(0). Suppose -4*y + 4 = -0*g - 2*g, -y + 3*g = -u. Let f(v) = 18*v - 1. What is the units digit of f(y)?
7
Let p(b) be the first derivative of b**3/3 + 3*b**2 + 7*b + 1. Let o be p(-5). Suppose 7*i - 2*i = -2*m + 104, -50 = -o*i + 2*m. What is the units digit of i?
2
Suppose 0 = -3*h - 7 - 2. Let b(f) = 3*f**2 - 2*f + 5. What is the tens digit of b(h)?
3
Suppose f - 2*f + 7 = 3*j, 0 = j. Let a(z) = z**2 + 13*z + 1. What is the units digit of a(f)?
1
Let b = 0 + 2. Let f(v) = v**3 + v**2 - v + 1. Let s be f(1). Suppose -b*o - 4*r + 30 = 0, -5*o + s*r + 135 = -3*r. What is the units digit of o?
3
Suppose 219*n + 1026 = 222*n. What is the tens digit of n?
4
Let r = 9 - 22. Let s = 30 + r. Suppose 0 = 2*m - 75 - s. What is the units digit of m?
6
Let u = 126 - 123. Let l be (-1)/3 + 20/6. What is the units digit of (2/u)/(l/63)?
4
What is the units digit of (6/(-3))/((-1)/6)?
2
Suppose 2*q = 4*h - 2*q + 12, 5*q = -h + 15. Suppose 3*m + 92 = 5*j, 2*m = -j - h*j + 8. What is the units digit of j?
6
Let q be 42/(-63)*-3*(0 + 1). Suppose q*d = 701 - 53. What is the tens digit of d?
2
Suppose -23*i = -22*i - 296. What is the units digit of i?
6
Let c be (-15)/(-6) - (-1)/(-2). Suppose -5*f + 10*f = 4*h - 9, h + c*f = -1. What is the units digit of (55/(-33))/(h/(-3))?
5
Let h(b) = -b**3 - 2*b**2 + 21*b + 18. What is the units digit of h(-9)?
6
Let v(b) = -3*b**3 - 13*b**2 - 6*b + 38. What is the tens digit of v(-9)?
2
Suppose -49*b + 984 = -47*b. Suppose -4*c + 172 = -b. What is the units digit of c?
6
Let s(n) = n**2 - 17*n + 1. Let m be s(16). Let c be (17 - -1)/(m/(-20)). Let o = 3 + c. What is the units digit of o?
7
What is the tens digit of (-2 + (-741)/9)/(7/(-63))?
5
Let d(s) = 30*s - 14. Let x be d(7). Suppose -4*j + x = -0. What is the units digit of j?
9
Suppose -2*j + j = -4*i + 54, 2*j = -4*i + 48. Let l = i - 10. Suppose -l*x + 3*b = x - 67, 3*x + 5*b = 72. What is the tens digit of x?
1
Suppose 14*y + 99 = 17*y + 5*u, 5*u = -4*y + 127. Let v be 1 + (-2 - 1*-27). Let w = y - v. What is the units digit of w?
2
Suppose -5*v = -218 - 162. What is the units digit of v/(-3)*15/(-10)?
8
Let m(r) = -r**2 - 7*r - 3. Let h be m(-5). Let p = h + -10. Let t(f) = -f**3 + f - 2. What is the tens digit of t(p)?
2
Let u(f) = f**3 + 30*f**2 + 17*f + 65. What is the hundreds digit of u(-29)?
4
Let w(f) = f**3 - 4*f**2 + 3*f + 2. Let p be -14 - -15 - (-1 - 0). Let u be p/(-5) + (-22)/(-5). What is the tens digit of w(u)?
1
Suppose -5*f + 212 = -3*r - 156, 4*r - 361 = -5*f. What is the tens digit of f?
7
What is the tens digit of 19/(((-9)/(-186))/3)?
7
Let h(g) be the third derivative of g**5/60 - g**4/24 - 7*g**3/6 + 4*g**2. What is the units digit of h(-8)?
5
Let y(q) = 3*q + 5. Suppose r = 3*r - 28. Let l be 4/6 + r/6. What is the units digit of y(l)?
4
Suppose 2*s + 5641 = o, 4*o + 4*s = 8*s + 22568. Suppose 3*g + g - 7524 = 5*h, -3*g + o = -h. What is the units digit of (-1)/8 - g/(-72)?
6
Let d(y) = 16*y. Let s be d(3). Let f = s - 5. What is the units digit of f?
3
Suppose -3*y = -1 - 5. Suppose h - 1 = 3*o, 4*o = 3*h + 2 - 5. What is the units digit of 37 + (o + y - 3)?
6
Let z = 232 + -60. Suppose 3*t - z = 4*b, -3*t + 3*b + 250 = 73. What is the units digit of t?
4
Suppose 7*n - 6*n - 4 = 0. Suppose 3*u - n*u + 14 = 3*p, 3*u = 5*p. What is the units digit of -1 + p + -4 - -35?
3
Suppose 0*v = 2*v - 44. Suppose 57 = 5*b + v. Suppose 0 = -0*t - t + b. What is the units digit of t?
7
Let o(h) = -h + 4. Let i be o(-11). Let y = i - 10. Suppose -4*d - y*m = -0*d - 62, 5*d + 4*m - 82 = 0. What is the tens digit of d?
1
Let f(m) be the second derivative of 34*m**3/3 - 21*m**2/2 + 39*m. What is the hundreds digit of f(3)?
1
Let s(q) = -q**2 + 9*q - 1. Let o be 3/((28/(-12))/(-7)). Let r be s(o). What is the tens digit of (-3 - 8)/(r/2)?
2
Suppose -489 = 3*v - 6*v. Suppose 73 = 3*b - 80. Suppose q = j - 6*j + b, 2*j = -5*q 