-1/1365*o**7 + 0 + 0*o - 5*o**2 + 0*o**4 - 1/390*o**5 + 0*o**3 + 1/390*o**6. Solve f(x) = 0 for x.
0, 1
Suppose 0 = -0*a - 2*a + 6. Suppose 3*d = a*c - 16 - 2, -2*c = 4*d + 6. Solve 0*z + 0*z**4 + 0 - 2/5*z**5 + 2/5*z**c + 0*z**2 = 0 for z.
-1, 0, 1
Let o(m) be the third derivative of -1/8*m**3 + 0*m - 1/320*m**6 + 0 + 1/64*m**4 - 9*m**2 + 1/80*m**5. Factor o(r).
-3*(r - 2)*(r - 1)*(r + 1)/8
Let j(g) be the first derivative of 2*g**5/55 - 5*g**4/22 + 4*g**3/33 + 8*g**2/11 - 38. Factor j(c).
2*c*(c - 4)*(c - 2)*(c + 1)/11
Let v(x) = x**3 - x**2 + x. Let p(s) = -3*s**4 - 20*s**3 - 37*s**2 - 38*s - 12. Let g(k) = p(k) + 2*v(k). Factor g(j).
-3*(j + 1)**2*(j + 2)**2
Let b(z) be the second derivative of -z**6/144 - 17*z**5/240 - z**4/8 + z**3/6 - 5*z. Let h(d) be the second derivative of b(d). Suppose h(v) = 0. Calculate v.
-3, -2/5
Let a(b) be the first derivative of 5*b**6/2 + 36*b**5/5 + 3*b**4 - 10*b**3 - 27*b**2/2 - 6*b - 19. Factor a(p).
3*(p - 1)*(p + 1)**3*(5*p + 2)
Let i(f) be the second derivative of -1/20*f**5 - 6*f - 8*f**3 - 32*f**2 + 0 - f**4. Factor i(w).
-(w + 4)**3
Let q(d) be the third derivative of 0*d**4 - 1/180*d**5 - 1/120*d**6 + 0 + 0*d - 1/315*d**7 + 2*d**2 + 0*d**3. Factor q(h).
-h**2*(h + 1)*(2*h + 1)/3
Let r be ((-357)/72)/7 - -1. Let a = r + -1/168. Factor 4/7*f - a*f**2 - 2/7.
-2*(f - 1)**2/7
Let 0*y + 1/10*y**2 + 0 - 1/5*y**3 + 1/10*y**4 = 0. What is y?
0, 1
Let h(v) = 3*v**5 - 14*v**4 + 36*v**3 - 24*v**2 + 4. Let d(c) = -3 - 3 + 2 - c**4 + 3. Let a(i) = 4*d(i) + h(i). Factor a(z).
3*z**2*(z - 2)**3
Let q be 342/66 - 2/11. Let s(m) be the second derivative of 0*m**3 + 0 + 1/60*m**q + 0*m**2 + 1/90*m**6 + m + 0*m**4. Find l, given that s(l) = 0.
-1, 0
Factor -3 - 6*b - 15/4*b**2 - 3/4*b**3.
-3*(b + 1)*(b + 2)**2/4
Let v(b) be the second derivative of -3/50*b**5 - 1/10*b**4 - 1/15*b**3 - 1/75*b**6 + 0*b**2 + 0 + 2*b. Factor v(o).
-2*o*(o + 1)**3/5
Let p(o) be the second derivative of 1/3*o**3 + 0 - 1/10*o**5 + 0*o**4 - 5*o + 0*o**2. Let p(c) = 0. What is c?
-1, 0, 1
Let v(h) be the third derivative of h**5/60 - h**4/24 - h**3/3 + 10*h**2. Factor v(r).
(r - 2)*(r + 1)
Let o(a) be the first derivative of -a**4/18 - 2*a**3/9 + a**2 - 10*a/9 - 26. Suppose o(l) = 0. Calculate l.
-5, 1
Let l(b) be the first derivative of b**6/6 + 4*b**5/5 + 3*b**4/2 + 4*b**3/3 + b**2/2 - 2. Find f such that l(f) = 0.
-1, 0
Let x(s) = s**3 + 5*s**2 + s + 4. Let w be x(-5). Let t(v) = v**2 - v - 1. Let i(c) = -4*c**2 - 4*c - 2. Let q(p) = w*i(p) - 2*t(p). Factor q(n).
2*(n + 1)*(n + 2)
Let h = 166 - 164. Let b(i) be the first derivative of 1 - 2*i + 1/2*i**4 - 2*i**3 + 3*i**h. Let b(o) = 0. Calculate o.
1
Let h(f) be the third derivative of -3*f**7/14 + f**6 - 11*f**5/6 + 5*f**4/3 - 5*f**3/6 - f**2 + 24. Factor h(x).
-5*(x - 1)**2*(3*x - 1)**2
Let x(a) = -a**2 - 2*a + 37. Let w be x(5). Factor 2/5*d**w + 2/5*d + 0.
2*d*(d + 1)/5
Let d(h) = h**2 - h - 1. Let a be d(3). Suppose -c**3 + 2*c**5 + 0*c**a - c**3 = 0. Calculate c.
-1, 0, 1
Factor 0*b + 3/4*b**4 - 3/4*b**3 - 3/4*b**2 + 0 + 3/4*b**5.
3*b**2*(b - 1)*(b + 1)**2/4
Let u(c) be the second derivative of -49*c**6/150 - 21*c**5/100 + 2*c**4/5 - 2*c**3/15 + 15*c. Factor u(g).
-g*(g + 1)*(7*g - 2)**2/5
Let z = -55 - -58. Factor 15/2*j**z + 6*j - 39/2*j**2 + 6.
3*(j - 2)*(j - 1)*(5*j + 2)/2
Let t(z) be the first derivative of z**9/10584 - z**8/1176 + 3*z**7/980 - z**6/180 + z**5/210 - z**3 - 3. Let f(q) be the third derivative of t(q). Factor f(l).
2*l*(l - 2)*(l - 1)**3/7
Let l(v) be the second derivative of -5*v**7/42 - v**6/3 + 5*v**4/6 + 5*v**3/6 + 10*v. Factor l(n).
-5*n*(n - 1)*(n + 1)**3
Suppose 2*r - 4 = 0, 5*u + 0*r - 4*r - 17 = 0. Let p(q) be the third derivative of 1/60*q**u + q**2 + 0 + 0*q + 0*q**3 + 1/24*q**4. Find n, given that p(n) = 0.
-1, 0
Let w(j) = -8*j - 4. Let h be w(3). Let k = 28 + h. Factor 0*u + 2/7*u**5 + 0*u**3 + k*u**2 + 0 + 4/7*u**4.
2*u**4*(u + 2)/7
Let c(r) = 6*r**2 + 31*r + 16. Let s(d) = -d. Let u(t) = -c(t) - 3*s(t). Suppose u(n) = 0. Calculate n.
-4, -2/3
Let z(s) = -6*s**4 - 6*s**3 - 4*s**2. Let o(m) = 11*m**4 + 12*m**3 + 8*m**2. Let u(v) = 4*o(v) + 7*z(v). Factor u(b).
2*b**2*(b + 1)*(b + 2)
Suppose 3*q = -q. Suppose 3*f + q*h = -2*h + 3, 0 = 5*f + 2*h - 9. Factor -1/4 + 2*s**f + 3/4*s**4 + 3/2*s**2 + 0*s.
(s + 1)**3*(3*s - 1)/4
Let d(b) = b + 5. Let t be d(-3). Let r be (2 + t*15)/7. Suppose 30/7*f**2 - 64/7*f**3 + r*f**4 - 2/7 + 4/7*f = 0. What is f?
-1/4, 1/4, 1
Let m(a) be the third derivative of a**8/1008 + a**7/630 - a**6/360 - a**5/180 - a**2. Solve m(p) = 0 for p.
-1, 0, 1
Let x(h) be the first derivative of -3*h**4/4 - h**3 + 15*h**2/2 - 9*h - 24. Factor x(y).
-3*(y - 1)**2*(y + 3)
Let t(g) be the second derivative of 5*g + 3*g**4 + 0 - 14/15*g**6 - 4*g**2 + 10/3*g**3 - g**5. Determine y so that t(y) = 0.
-1, 2/7, 1
Let u(n) be the second derivative of 4*n**7/105 - 11*n**6/75 + 9*n**5/50 - n**4/30 - n**3/15 + 9*n. Determine x so that u(x) = 0.
-1/4, 0, 1
Let r(g) be the first derivative of -g**5/7 - g**4/4 - 2*g**3/21 - 57. Suppose r(l) = 0. Calculate l.
-1, -2/5, 0
Suppose h = 3*h. Let o(u) be the second derivative of -1/2*u**4 - 3/10*u**5 + 0*u**2 + 2*u + h - 1/3*u**3 - 1/15*u**6. Factor o(d).
-2*d*(d + 1)**3
Let m be 39/9 + (-24)/6. Let c(n) be the third derivative of m*n**3 - n**2 - 1/24*n**5 - 1/6*n**4 + 0 + 0*n. Factor c(h).
-(h + 2)*(5*h - 2)/2
Let 0 + 0*f - 4*f**4 - 2*f**3 + 0*f**2 + 5/2*f**5 = 0. Calculate f.
-2/5, 0, 2
Let n = 11 + -11. Let j(r) be the second derivative of 0 - 1/30*r**6 - 1/12*r**4 - 1/24*r**3 - r - 1/168*r**7 + n*r**2 - 3/40*r**5. Factor j(f).
-f*(f + 1)**4/4
Factor -38/3*j**2 - 4/3 + 14*j.
-2*(j - 1)*(19*j - 2)/3
Let u(z) = -7*z**4 - 11*z**3 - 11*z**2 - 7*z - 5. Let j(l) = -4*l**4 - 6*l**3 - 6*l**2 - 4*l - 3. Let o(x) = 5*j(x) - 3*u(x). Find r such that o(r) = 0.
-1, 0
Let x(d) = 5*d. Let j be x(-1). Let r be 6/10 - (-1)/j. Suppose 0 - r*f**4 - 2/5*f**3 + 4/5*f**2 + 0*f = 0. What is f?
-2, 0, 1
Solve 2/9*v**3 - 4/9*v**2 + 0 + 2/9*v**4 + 0*v = 0 for v.
-2, 0, 1
Let d(n) be the second derivative of 2*n + 1/72*n**4 - 1/60*n**5 + 0*n**2 - 1/180*n**6 + 1/18*n**3 + 0. Factor d(a).
-a*(a - 1)*(a + 1)*(a + 2)/6
Let h be 2/9 - 20/(-45). Suppose h*d**2 + 0 - 4/3*d = 0. Calculate d.
0, 2
Let l = -14 - -20. Suppose -5*t - w = 4*w - 5, -3*w + l = 4*t. Let -x - 3*x**3 + x**3 - x**4 + x**2 + 3*x**t = 0. What is x?
-1, 0, 1
Let g(o) be the first derivative of 3*o**6/2 + 42*o**5/5 + 39*o**4/2 + 24*o**3 + 33*o**2/2 + 6*o + 1. Solve g(z) = 0.
-1, -2/3
Suppose 15 + 11*t + 108 + 4*t**2 - 23 + 29*t = 0. Calculate t.
-5
Let i = 0 + 3. Let h be ((-2)/3*i)/(-1). Let 87*j**4 + 81*j + 147*j**5 - 9*j - 12 - 25*j**h - 219*j**3 - 26*j**2 - 24*j**4 = 0. What is j?
-1, 2/7, 1
Let u(x) = -7*x**5 + 2*x**4 + x**3 - 7*x**2 - 4*x. Let r(y) = -6*y**5 + 2*y**4 + 2*y**3 - 6*y**2 - 4*y. Let i(z) = -5*r(z) + 4*u(z). Solve i(j) = 0.
-1, 0, 1, 2
Let j = 30049/48 - 626. Let q(x) be the second derivative of 1/24*x**3 - x + 0*x**2 + 0 - 1/80*x**5 + j*x**4 - 1/120*x**6. Determine d, given that q(d) = 0.
-1, 0, 1
Let p(x) = 3*x**2 + 4*x**2 - 3*x**2 + 5 - 5*x**2 + 6*x. Let v be p(6). Factor 3*g**2 - 3*g - 2 - 4*g + 2*g**3 - v*g**3 - 11*g**2.
-(g + 1)**2*(3*g + 2)
Let n = -46/135 + 20/27. Determine h, given that -1/5*h**2 + 0 - n*h**5 + 1/5*h + h**4 - 3/5*h**3 = 0.
-1/2, 0, 1
Suppose -x + 35 = -6*x + 5*m, 0 = -3*x - 5*m - 5. Let u be -1*4 - 40/x. Factor 0 + 2/5*g**u + 2/5*g + 6/5*g**2 + 6/5*g**3.
2*g*(g + 1)**3/5
Let v(n) be the first derivative of n**3/3 + n**2/2 - 6. Factor v(y).
y*(y + 1)
Suppose 3*s = 4 + 8. Let v be (-2)/s*(-2)/1. Suppose 2*r**3 - v + r**4 - 2*r + 0 + 0*r**4 = 0. Calculate r.
-1, 1
Suppose -2*b = -5*f + 4, -7*b + 2*b + 2*f + 11 = 0. Solve -b*y**4 + 3*y + 8*y**3 - 2*y - 7*y**2 + y = 0.
0, 2/3, 1
Let g(q) be the third derivative of 0*q**3 + 0 - 1/40*q**6 + 0*q + 1/20*q**5 - 4*q**2 + 0*q**4. Factor g(r).
-3*r**2*(r - 1)
Let k(m) be the third derivative of m**6/160 - m**5/40 - m**4/8 + m**3 + 15*m**2. Factor k(d).
3*(d - 2)**2*(d + 2)/4
Let s(i) be the third derivative of 0*i**3 - 1/6*i**4 + 1/30*i**5 + 0*i + 0 + 5*i**2. Factor s(g).
2*g*(g - 2)
Let k(q) = q**2 - 1. Let y = -13 - -9. Let w(f) = -2*f**2 - 5*f + 6. Let j(i) = y*k(i) - w(i). Suppose j(t