) = l*i(a) + 8*h(a). Suppose k(y) = 0. What is y?
0
Let p(l) be the second derivative of l**7/504 + l**6/270 - l**5/360 + l**3/2 - 9*l. Let x(i) be the second derivative of p(i). Suppose x(g) = 0. What is g?
-1, 0, 1/5
Let a(p) = p**5 + 2*p**4 - 2*p**2 + 3*p - 4. Let i(h) = 2*h**4 - 6 + h**5 + 1 - 2*h**2 - 9*h + 13*h. Let x(o) = 5*a(o) - 4*i(o). Factor x(t).
t*(t - 1)*(t + 1)**3
Let l(z) be the second derivative of -2*z**2 + 1/6*z**4 - 2*z + 0 + 1/3*z**3. Determine w so that l(w) = 0.
-2, 1
Suppose 0 = -0*m - 5*m. Factor f**2 + m*f + 0*f + 0*f.
f**2
Let z(y) = -y**2 - 2*y + 8. Let u be z(-4). Let o(r) be the second derivative of 0 - 1/30*r**4 + 1/50*r**5 + 0*r**2 + r + u*r**3. What is s in o(s) = 0?
0, 1
Let t be ((-3)/15*2)/((-2)/10). Let k(v) be the second derivative of 1/27*v**3 + 0*v**t - 1/54*v**4 + 0 + 3*v. What is d in k(d) = 0?
0, 1
Let o be -3*25/90*(-9)/30. Factor 1/4*n**3 - 1/4*n + 0 + 1/4*n**4 - o*n**2.
n*(n - 1)*(n + 1)**2/4
Let z(p) = -p**3 - 21*p**2 - 19*p + 22. Let q be z(-20). Factor 0 - 6/7*u**q + 3/7*u.
-3*u*(2*u - 1)/7
Suppose -5*v + 17 = 4*m, -m = -0*m + 3*v - 6. Let n**m - n + n - n**4 - n + n**2 = 0. Calculate n.
-1, 0, 1
Let b(h) be the second derivative of -5*h**8/336 - 4*h**7/105 - h**6/120 + h**5/30 - 9*h**2/2 + 2*h. Let p(u) be the first derivative of b(u). Factor p(s).
-s**2*(s + 1)**2*(5*s - 2)
Let k(u) be the third derivative of 0 - 1/3*u**3 + 1/20*u**5 - 1/24*u**4 - 1/210*u**7 + 1/120*u**6 + 0*u + 2*u**2. Factor k(v).
-(v - 2)*(v - 1)*(v + 1)**2
Suppose 2*u - 3*r + 23 = 6, -10 = -5*u - 3*r. Let s be u*(2 - 9/4). Factor 0*l - 1/4*l**2 + s.
-(l - 1)*(l + 1)/4
Let v = 11535/7 - 1645. Let -4/7*j**3 + v*j**2 - 4*j + 12/7 = 0. Calculate j.
1, 3
Find l such that -1 + 0*l + 1/4*l**2 = 0.
-2, 2
Let q(y) be the second derivative of y**4/16 - 3*y**3/2 + 27*y**2/2 + 22*y. Factor q(z).
3*(z - 6)**2/4
Let b(m) be the second derivative of -m**5/20 + m**4/3 - 2*m**3/3 - 6*m. Factor b(k).
-k*(k - 2)**2
Let i(h) be the second derivative of -h**4/24 + h**2/4 + 5*h. Determine y, given that i(y) = 0.
-1, 1
Let u be (-43 + 47)/((-8)/(-6)). Factor -2*j + 1/3*j**2 + u.
(j - 3)**2/3
Factor 10/3*k**2 - 5/3*k**3 + 0 - 5/3*k.
-5*k*(k - 1)**2/3
Solve -2/7*c + 0 - 2/7*c**2 = 0.
-1, 0
Let f(i) be the second derivative of -i**7/252 + i**6/60 - 16*i. Factor f(z).
-z**4*(z - 3)/6
Let m(b) be the third derivative of -3*b**7/140 + b**6/10 - 11*b**5/60 + b**4/6 - b**3/12 + 3*b**2. Factor m(t).
-(t - 1)**2*(3*t - 1)**2/2
Let k(b) = b - 3. Let a be k(6). Let f = 9 + -6. Factor -a*x + f*x + 2*x**4 + 2*x**3.
2*x**3*(x + 1)
Suppose 36*r + 5*j + 16 = 33*r, 3*r = 2*j + 19. Determine z so that -18/13 - 188/13*z**2 - 50/13*z**4 - 96/13*z - 160/13*z**r = 0.
-1, -3/5
Let z(s) be the first derivative of 0*s + 0*s**4 + s**3 + s**2 - 1/5*s**5 + 1. Let z(j) = 0. Calculate j.
-1, 0, 2
Let p(r) be the first derivative of -r**6/8 + 3*r**4/8 - 3*r**2/8 + 1. Solve p(k) = 0 for k.
-1, 0, 1
Let z(v) be the second derivative of -3*v**5/20 - v**4/4 + 10*v. Factor z(w).
-3*w**2*(w + 1)
Let t = -272 + 1366/5. Factor 2/5*g - 6/5*g**2 - 2/5*g**4 + t*g**3 + 0.
-2*g*(g - 1)**3/5
Let p be (12/170)/(4/30). Let t = p - -6/85. Solve t*f + 18/5*f**3 + 12/5*f**2 + 0 + 3/5*f**5 + 12/5*f**4 = 0.
-1, 0
Suppose 44 = 3*b + b. Suppose 3*v - 5*y + 1 = 0, 4*y - b = -5*v + 6*y. Find g such that 1/2*g**2 + 1/4*g - 1/2 - 1/4*g**v = 0.
-1, 1, 2
Let x be -4 - (-4 - (-3)/(-6)). Factor 1/2 + x*u**4 + u**3 - 1/2*u - u**2 - 1/2*u**5.
-(u - 1)**3*(u + 1)**2/2
Let f = -1 - -4. Factor 3*z**4 + z**2 + 4*z**3 + z**5 - 2*z**5 - 4*z**4 - 3*z**f.
-z**2*(z - 1)*(z + 1)**2
Suppose 0 = -4*l - 5*s + 18, -l = -135*s + 137*s - 6. Factor -2/9*h**l + 0 - 4/9*h.
-2*h*(h + 2)/9
Let h be (-2)/2 + 1 + -2. Let n be 6/(-5)*h + -2. Determine a, given that -2/5*a**3 + 2/5*a - 2/5 + n*a**2 = 0.
-1, 1
Let w(q) = q**2 - 5*q + 6. Let f be w(4). Find r, given that -1 + f*r**2 - r**2 - r**3 + r + 0*r**2 = 0.
-1, 1
Let z(c) = 6*c**2 - 31*c - 31. Let k(p) = -p**2 + 6*p + 6. Let y(x) = 11*k(x) + 2*z(x). Factor y(n).
(n + 2)**2
Let v(j) be the second derivative of 2/5*j**5 - 4*j - 1/15*j**6 - 2/3*j**4 + 0*j**3 + 0 + 0*j**2. Solve v(g) = 0 for g.
0, 2
Let o = 144 - 140. Let g(s) be the first derivative of -o - 3/2*s**2 + s**3 + 0*s. Factor g(i).
3*i*(i - 1)
Let h be 1/(-3) + (-20)/(-6). Let o = h + -2. Determine x, given that -3*x + 1 + 6*x**2 + o - 3*x - 3*x**3 + x**3 = 0.
1
Let d(x) be the first derivative of x**6/210 - x**5/70 + x**4/84 + x + 6. Let a(l) be the first derivative of d(l). Factor a(u).
u**2*(u - 1)**2/7
Factor -32/3 - 2/3*r**2 + 16/3*r.
-2*(r - 4)**2/3
Let g = 8 - 4. Factor k**2 + 2*k**2 - 3*k**4 + 0*k**g.
-3*k**2*(k - 1)*(k + 1)
Suppose -5*l + l + 7*l = 0. Let k(r) be the second derivative of 0 + 0*r**4 + 3*r + 0*r**2 + l*r**3 - 1/60*r**5. Find y, given that k(y) = 0.
0
Let p = 441 - 441. Factor p + 2/11*s**5 + 8/11*s**4 + 2/11*s + 12/11*s**3 + 8/11*s**2.
2*s*(s + 1)**4/11
Suppose 1 = 2*v - 7. Factor 7 - 3*a**2 + a - v - a.
-3*(a - 1)*(a + 1)
Let h(k) be the second derivative of k**4/6 + k**3/6 - k. Let r be h(-1). Factor a**2 + 2*a + 2 + r - 2.
(a + 1)**2
Let d(k) be the first derivative of -k**4/24 + k**3/4 - k**2/2 - 5*k - 4. Let z(l) be the first derivative of d(l). Let z(x) = 0. What is x?
1, 2
Let s = -39 - -23. Let r be (-2)/(-5)*(-60)/s. Solve 1/2*h**5 + 3/2*h**3 + 0*h - r*h**4 - 1/2*h**2 + 0 = 0.
0, 1
Factor -8 + 4 + 6 + 32*b**4 - 16*b**2.
2*(2*b - 1)**2*(2*b + 1)**2
Let k(z) = 3 - 2 - 2*z**3 - 6*z**3 - 10*z + 10*z**2. Let f(i) = 7*i**3 - 9*i**2 + 9*i - 1. Let w(h) = 7*f(h) + 6*k(h). Factor w(n).
(n - 1)**3
Let h(x) = -10*x**4 - 6*x**3 + 12*x**2 + 8*x - 2. Let r(b) = b**4 + b**3 - 1. Let a(t) = -h(t) + 2*r(t). Solve a(y) = 0.
-1, -2/3, 0, 1
Let o(b) be the first derivative of -b**7/630 + b**6/360 + b**2 - 1. Let z(d) be the second derivative of o(d). Factor z(s).
-s**3*(s - 1)/3
Factor 0 - 3/2*t - 1/6*t**3 - t**2.
-t*(t + 3)**2/6
Let u(t) = t**2 + t + 2. Let p be 0*(-1 - 0/2). Let k be u(p). Factor -4*s**2 + 2*s**4 + 2*s**4 + 3*s**3 + 3*s**k.
s**2*(s + 1)*(4*s - 1)
Suppose -15 = -2*j + 5*m, -2*m - 6 = -36*j + 39*j. Factor 3/5*f**2 + 0 + j*f + 3/5*f**3.
3*f**2*(f + 1)/5
Suppose 0 = -15*m + 11*m + 12. Let d(i) be the first derivative of -2/15*i**m - 8/5*i - 4/5*i**2 - 1. Factor d(u).
-2*(u + 2)**2/5
Factor 0 - 12/5*o**2 + 4/5*o**4 - 8/5*o + 0*o**3.
4*o*(o - 2)*(o + 1)**2/5
Let s(v) be the first derivative of -v**5/300 - 3*v**2 - 3. Let u(m) be the second derivative of s(m). Factor u(x).
-x**2/5
Let w be (3/2)/(3*1). Let c = 2/393 - -389/786. Factor 1/2 + w*z**4 + c*z - z**3 + 1/2*z**5 - z**2.
(z - 1)**2*(z + 1)**3/2
Let l = 54 - 52. Let k(r) be the third derivative of 1/30*r**5 - 1/6*r**4 + 0*r**3 + 0*r + 1/60*r**6 + 4*r**l + 0. What is n in k(n) = 0?
-2, 0, 1
Let t(a) be the first derivative of -3*a**6 - 48*a**5/5 - 2*a**4 + 44*a**3/3 + 13*a**2 + 4*a + 3. Determine j, given that t(j) = 0.
-2, -1, -1/3, 1
Let x(d) be the first derivative of -d**6/240 - d**5/60 + d**4/48 + d**3/6 - d**2/2 - 1. Let a(w) be the second derivative of x(w). Factor a(g).
-(g - 1)*(g + 1)*(g + 2)/2
Let y be (-6)/10 + 1 + 328/30. Factor 28/3*j + j**4 + 8/3 + y*j**2 + 17/3*j**3.
(j + 1)*(j + 2)**2*(3*j + 2)/3
Let i(y) = y**2 + 1. Let s(r) = 8*r**2 + 10. Let z(l) = -20*i(l) + 2*s(l). Factor z(m).
-4*m**2
Let d(h) = -9*h**3 - 24*h**2 + 20*h + 23. Let b(i) = 9*i**3 + 24*i**2 - 21*i - 24. Let g(q) = 5*b(q) + 6*d(q). Factor g(l).
-3*(l - 1)*(l + 3)*(3*l + 2)
Let f(v) be the third derivative of -v**6/120 - 17*v**5/240 - v**4/6 - v**3/8 + 13*v**2. What is r in f(r) = 0?
-3, -1, -1/4
Let b(f) be the first derivative of f**5/15 + f**4/4 + f**3/9 - f**2/2 - 2*f/3 + 15. Find n, given that b(n) = 0.
-2, -1, 1
Suppose 0*p = 3*p + 3. Let f be -6*((-3)/(-6))/p. Factor 2*b**4 - b**4 + 2*b**5 - f*b**4 + 2*b**2 - 2*b**3.
2*b**2*(b - 1)**2*(b + 1)
Let l be -2 - (-63)/6 - 16/4. Find u, given that 1 - 5/2*u**3 + 6*u**2 - l*u = 0.
2/5, 1
Let 2*v**3 + 0*v + 14/9*v**4 + 0 + 4/9*v**2 = 0. Calculate v.
-1, -2/7, 0
Let o be 1 - (-8)/(320/(-33)). Let v(l) be the second derivative of 0 - 1/12*l**3 + 3*l + o*l**5 + 0*l**2 - 1/15*l**6 - 1/12*l**4. Let v(c) = 0. Calculate c.
-1/4, 0, 1
Let y(o) be the third derivative of -o**6/300 + o**5/75 - o**4/60 - 6*o**2. Su