l - 1. What is the tens digit of y(1)?
1
Let y = 45 - 25. Suppose 4*a - y = -a. Suppose v - 3*f - 32 = -5, a*v - 44 = -4*f. What is the units digit of v?
5
Suppose 4*p - 8 = 0, -20 = 3*v + p - 4. Suppose -u = 4*y + 12, -u = 3*y - 5*y. Let l = y - v. What is the units digit of l?
4
Let d(s) = s - 5. Let k be 6/3 + (-1)/(-1). Suppose -8*i + 35 = -k*i. What is the units digit of d(i)?
2
Suppose 18 = -5*t - 7, 4*t - 98 = 2*v. Let o = -31 - v. What is the tens digit of o?
2
Let c be (-1)/(3*3/18). Let f(a) = -3*a**3 - a**2 + 2*a. What is the units digit of f(c)?
6
Suppose -345 = -4*y - 105. Suppose -3*w + 8*w = 8*w. Suppose w*c = -5*c + y. What is the units digit of c?
2
Let r be (36 + -1)/(-3 + 2). Let p = -21 - r. What is the units digit of p?
4
Suppose -11*h + 1227 = -8*h. What is the hundreds digit of h?
4
Let n(a) = -5*a**3 - 14*a**2 + 41*a - 29. Let o(l) = -l**3 - 3*l**2 + 8*l - 6. Let b(p) = 2*n(p) - 11*o(p). What is the units digit of b(-6)?
8
Let a be 0 + 11 - (-2 + 3). Suppose 4*r - a = 2. What is the units digit of r?
3
Let q be (-30)/(-9) - (-2)/(-6). Suppose 3*u - 21 = -0*c - q*c, -u - 5 = -3*c. What is the units digit of c?
3
Let z(x) = -x - 5. Let g be z(-9). Suppose 1 = 5*q - g, 0 = 5*t - q - 49. Suppose 12 = r + w, -4*r - 2*w = -3*r - t. What is the units digit of r?
4
Suppose -59 - 55 = -3*q. What is the tens digit of q?
3
Suppose 11*n - 705 = 6*n. What is the hundreds digit of n?
1
Let v(g) be the first derivative of g**5/120 + g**4/4 - g**3/3 + 1. Let a(p) be the third derivative of v(p). What is the units digit of a(-3)?
3
Let y(k) = -k**3 + 5*k**2 - 3*k + 4. Let m = -2 + 6. What is the units digit of y(m)?
8
What is the units digit of 89/3 - -1*(-6)/9?
9
What is the tens digit of (-13)/((-30)/(-8) + -4)?
5
Let n(i) be the third derivative of 1/120*i**6 + 2*i**2 + 0*i + 3/20*i**5 + 1/24*i**4 + 5/3*i**3 + 0. What is the units digit of n(-9)?
1
Let b(n) = -45*n**2 - 7*n + 9. Let t(l) = -68*l**2 - 10*l + 13. Let r(p) = 7*b(p) - 5*t(p). Let w be r(2). What is the tens digit of ((-48)/40)/((-6)/w)?
2
Let h = 122 + -69. What is the tens digit of h?
5
Let i = 28 + -24. What is the units digit of i?
4
Let r be (6/(-6))/(2/(-6)). Let f(v) = -v**2 + 3*v + 1. What is the units digit of f(r)?
1
Let b(u) = 5*u - 3*u - 7 - 4*u. Let q be b(-6). Suppose q*p = 4*a + 3*p - 38, -3*p = a + 8. What is the units digit of a?
7
Let m(a) = 3*a**2 - 4*a + 3. Let k be m(3). Let o = -12 + k. What is the units digit of o?
6
Suppose -2*g + 4*s + 2 = -3*g, 0 = 4*g + 5*s - 47. What is the tens digit of g?
1
Let m be (2/2)/(2/(-22)). Let g = m - 1. Let y = g + 20. What is the units digit of y?
8
What is the units digit of (-188)/(-3) + (-5)/(-15) + 1?
4
Let l = -24 - 19. Let z = l - -79. What is the tens digit of z?
3
Let o(t) = -t + 6. Let q be o(4). Let g be (-8 + (q - 1))/1. Let w = 0 - g. What is the units digit of w?
7
Suppose f + c + 0*c = 47, 5*c - 63 = -f. What is the units digit of f?
3
Let g(s) = 2*s + 3. Suppose 11*j = 9*j + 20. What is the units digit of g(j)?
3
Suppose -2*l = -4*l + 10. Suppose -4*c = -u - 20, -20 = 4*u - 0*u - 4*c. Let j = l - u. What is the units digit of j?
5
Suppose -2*w - 4 + 0 = 0. What is the tens digit of (-5 - w)/1 - -13?
1
Suppose -4*h + 9*h - 235 = 0. Let k = h + -28. What is the tens digit of k?
1
Suppose 2*g + 126 = y + 5*g, 424 = 4*y - 4*g. What is the tens digit of y?
1
Let i(m) = m**3 - 11*m**2 + 12*m + 3. Let s be i(10). Suppose 3*f + s - 5 = 0. Let x = f - -12. What is the units digit of x?
6
Suppose l - 4*d - 24 = 0, -3*l = 2*d - 13 - 87. What is the tens digit of l?
3
Let f(y) = -35*y - 9. What is the units digit of f(-4)?
1
Let j(u) = -u**2 - u + 216. What is the tens digit of j(0)?
1
Let i(g) = -g**3 + 4*g**2 - 4*g + 3. Let p be i(2). Suppose 25 = p*c + 2*c. Suppose -3*a - 18 = -c*a. What is the units digit of a?
9
Let b(s) = -s + 16. What is the units digit of b(-8)?
4
Let f = 2 + -2. Let h = f + 2. Suppose -h = -r + 1. What is the units digit of r?
3
Let x(d) = d**2 + 5*d - 1. Let r be x(-6). Suppose 2*g + 3*u + 9 - 20 = 0, -r*u = 3*g - 16. What is the units digit of g?
7
Let r(s) = s + 3. Suppose 3*x - 29 = -l + 3*l, -x + 3 = -4*l. What is the tens digit of r(x)?
1
Let g = 333 - 185. What is the hundreds digit of g?
1
Suppose -4*m - 2*g - 14 = 0, 5*g = 7*m - 3*m + 7. What is the units digit of 4 + (-6)/m - 1?
5
What is the units digit of ((-3)/(-9))/((-2)/(-300)*2)?
5
Suppose -g + 3*w = -86, -g + 4*w + 35 = -54. What is the units digit of g?
7
Suppose 0 = 4*j - 2*n - 4, 5*j - 6*n = -n + 5. Let g be 4 + -4 - j*-2. Suppose g*p - 6 = -p. What is the units digit of p?
2
Suppose -5 = 3*t - 14. Suppose -5*b + 4*b = 0, -t*d = -3*b + 9. Let h(p) = 2*p**2 + 4*p + 1. What is the units digit of h(d)?
7
Let z(q) = -q**3 - 6*q**2 - 5*q + 3. Let v(t) be the third derivative of -t**4/12 + 3*t**3/2 - 2*t**2. Let k be v(7). What is the units digit of z(k)?
3
Let b = 54 + -35. What is the units digit of b?
9
Let u(s) = -3*s - 2*s + 15 + s - 4. What is the tens digit of u(-6)?
3
Let l = -39 + 51. What is the units digit of l?
2
Let h = 19 + -4. Let b = h - 11. Suppose b*o + u = 38, -3*o - u + 14 = -14. What is the tens digit of o?
1
Let n = 6 - 13. Let i(u) = -u + 10. Let x(d) = -d + 19. Let f(k) = 5*i(k) - 3*x(k). What is the units digit of f(n)?
7
Let x(m) = 4*m + 6. Let t be x(10). Suppose -3*l - 24 = -2*b - 6, -t = -4*b + l. What is the tens digit of b?
1
Let r(m) be the second derivative of 1/5*m**5 + 0 + 1/3*m**3 + m**2 - 1/3*m**4 + 2*m. What is the tens digit of r(2)?
2
Let g(y) = -y + 215. What is the tens digit of g(0)?
1
Suppose 2*l - 27 = -i, -7*l + 2*l - i + 69 = 0. What is the units digit of l?
4
Let r be (2 + -1)/(0 - 1). Let m = 3 - r. What is the units digit of (2/(-3))/(m/(-66))?
1
Let z(b) = -2*b - 3. Let r be z(-3). Let j = r - 0. Suppose 0*k - j*k + 6 = 0. What is the units digit of k?
2
Let g(s) = -s**3 + s**2 - s + 17. What is the units digit of g(0)?
7
Let v(x) = 5*x**2 - 17*x + 3. What is the hundreds digit of v(-4)?
1
Let b be (-18)/8 + 5/20. Let o be b/(-4) - (-105)/(-10). What is the units digit of ((-36)/15)/(3/o)?
8
Let z = 56 + -32. Let t = -16 + z. Let y = t - 1. What is the units digit of y?
7
Suppose 4*z - 5*m = 293, 4*m = 5*z - m - 370. Suppose 0*r + r = y - z, -1 = -r. Suppose 0 = 5*d + t - 0*t - y, -2*d - t + 33 = 0. What is the tens digit of d?
1
What is the hundreds digit of 3542/(-21)*(-3)/2?
2
Let w(y) = 27*y**3 - 1. Let s be w(1). Suppose -5*l = x - s, 15 = 4*l + l. Let n = 19 - x. What is the units digit of n?
8
Suppose -o = 2*g + 2*g + 14, 3*o + 5*g = -42. Let x = 25 + o. What is the tens digit of x?
1
Suppose -2*o = -5*i - 22, -5*o + 4*i = 8*i + 11. What is the units digit of o?
1
Let z(r) = -2*r - 21. Let y(o) = 3*o + 22. Let c(h) = -3*y(h) - 4*z(h). Let v be c(0). Let m = -10 + v. What is the units digit of m?
8
Let r = 2 - 1. Let l = -5 - r. Let n = 0 - l. What is the units digit of n?
6
Let s(a) = a**3 + 5*a**2 - 7*a + 1. Let w(h) = -h**3 + h**2 + 3*h + 3. Let g be w(3). Let j be s(g). Suppose 2*c - j = -1. What is the units digit of c?
3
Let o(n) = -n**3 - 9*n**2 + 9*n - 11. Let g be o(-10). Let q be ((-5)/(-10))/(g/20). What is the tens digit of (16/5)/((-2)/q)?
1
Let w be 6/(-10) - 67/5. Let o = w + 15. What is the units digit of o?
1
Let y = 11 + -6. Suppose -3*r - 10 = -y*o - 3, -r + 11 = 5*o. What is the units digit of (3 - o)*2*1?
2
Let s = -2 - -4. Let n(f) = -2*f**2 + 5*f**2 - 1 - f**s - f**2. What is the units digit of n(-2)?
3
Let h(q) = q - 1. Let u(z) = 14*z**3 - 3*z**2 + 2. Let k(l) = 3*h(l) + u(l). What is the tens digit of k(1)?
1
Let f(c) = 2*c**2 - 2*c - 3. Suppose 0*z + z + 2 = 0. What is the units digit of f(z)?
9
Let q(j) be the second derivative of j**3/3 - 15*j**2/2 + j. Let v be q(11). Suppose -v*z + 2*z = 5, 4*h - 28 = -4*z. What is the units digit of h?
8
Let z = -12 + 17. Suppose 5*u + 2*y = -8, z*y = 4*y - 4. What is the units digit of (u - 2)*7/(-2)?
7
Suppose 0 = 3*o - 2*o - 4. Suppose -5*m + 45 = o*x, 2*m + 2*x - 7 = 13. Let c = m - 3. What is the units digit of c?
2
Let q(p) = -11*p - 4. What is the units digit of q(-6)?
2
Let u(k) = -4*k - 2. Let m be u(-1). Suppose 5*b + 2*q - 164 = 0, -2*b - q + m = -63. What is the tens digit of b?
3
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