0 + 1/2*h**v + 0*h - h**2.
h**2*(h - 2)/2
Let f be (24/(-15))/(4/(-10)). Factor 24*u**2 - 3*u + 2 - 25*u**2 + f*u.
-(u - 2)*(u + 1)
Factor -4/3 - 10/9*s - 2/9*s**2.
-2*(s + 2)*(s + 3)/9
Let f(u) be the second derivative of 17*u**4/6 + 5*u**3 - 2*u**2 + 28*u. Factor f(z).
2*(z + 1)*(17*z - 2)
Let x(u) be the first derivative of -1/2*u**2 + 0*u**3 - 2 - 1/90*u**5 + 1/36*u**4 + 0*u. Let g(n) be the second derivative of x(n). Factor g(q).
-2*q*(q - 1)/3
Let f(i) be the third derivative of i**6/1260 + i**5/420 - i**4/42 - i**3 + 4*i**2. Let v(q) be the first derivative of f(q). Factor v(y).
2*(y - 1)*(y + 2)/7
Determine v, given that 7/2*v**3 - 1/2 + 1/4*v**5 - 4*v**2 + 9/4*v - 3/2*v**4 = 0.
1, 2
Let y be 4 - 2 - (-40)/(-35). Factor 0*h - 2/7*h**2 - y*h**4 - 2/7*h**5 - 6/7*h**3 + 0.
-2*h**2*(h + 1)**3/7
Let g(l) be the first derivative of -l**4/2 + l**2 - 3. Determine w, given that g(w) = 0.
-1, 0, 1
Let b = -2/3 - -13/15. Let c(r) be the first derivative of 1/10*r**2 - b*r + 2/15*r**3 - 4. Factor c(z).
(z + 1)*(2*z - 1)/5
Let h(o) be the first derivative of -o**4/14 - 2*o**3/7 - 3*o**2/7 - 2*o/7 + 10. Factor h(y).
-2*(y + 1)**3/7
Let p = -6 + 8. Suppose 5*u = p*g + 2, -5*u + g + 1 = -0. Factor u - 2/3*l**2 - 4/3*l.
-2*l*(l + 2)/3
Let l(x) be the first derivative of -2*x**5/5 + 7*x**4/8 - x**3/3 - x**2/4 - 5. Find v, given that l(v) = 0.
-1/4, 0, 1
Let f(k) be the third derivative of -2*k**7/21 - 7*k**6/24 + k**5/6 + 45*k**2. Determine m so that f(m) = 0.
-2, 0, 1/4
Let u(l) = l**4 + l**2 + 1. Let m(y) = -2*y**2 - 5*y**3 + 3*y**3 + 1 - 3 + 0. Let n(d) = m(d) + 2*u(d). Factor n(g).
2*g**3*(g - 1)
Factor 2/3*k**2 + 2/3*k**3 - 2/3*k**4 - 2/3*k + 0.
-2*k*(k - 1)**2*(k + 1)/3
Let y(j) be the second derivative of -j**7/70 + j**6/25 - 12*j. Factor y(k).
-3*k**4*(k - 2)/5
Solve 5*f**2 - 4*f**4 - 26*f - 2*f**4 - 10*f**3 + 36*f + f**4 = 0.
-2, -1, 0, 1
Factor -28*y + 3*y**2 + y**2 + 32*y.
4*y*(y + 1)
Let s be ((-4)/(-6))/(4/12). Suppose 1 - 2*t**s - 5*t**2 + 15*t - 10 + t**3 = 0. Calculate t.
1, 3
Let k(q) = -q**3 + 2*q**2 - q - 2. Suppose -r = r + 4. Let n be k(r). Factor 5*c**2 + 7*c**4 + 0*c + 6*c**2 + 2*c + n*c**3.
c*(c + 1)**2*(7*c + 2)
Let g(i) be the third derivative of -5*i**7/2772 + i**5/165 - i**4/12 + i**2. Let b(w) be the second derivative of g(w). Solve b(r) = 0.
-2/5, 2/5
Let k(f) be the second derivative of 0*f**2 + 0*f**3 - 1/25*f**6 + 0 + 1/10*f**5 + 2*f - 1/15*f**4. Factor k(p).
-2*p**2*(p - 1)*(3*p - 2)/5
Let i be 2/(-7) - ((-150)/35 - -2). Determine v so that 0*v**i - 1/2*v + 0 + 1/2*v**3 = 0.
-1, 0, 1
Let h(j) be the second derivative of 2/9*j**3 + 0*j**2 + 0 + 1/18*j**4 - 2*j. Factor h(o).
2*o*(o + 2)/3
Let f(q) be the second derivative of 3*q**5/20 + q**4/2 - 5*q. Determine i so that f(i) = 0.
-2, 0
Let t(k) be the first derivative of k**4 + 20*k**3/3 + 6*k**2 - 36*k - 9. Solve t(h) = 0.
-3, 1
Let i(g) = 15*g**3 + 15*g**2. Let z(v) = 5*v + 2. Let l be z(4). Let w(j) = 4*j**3 + 4*j**2. Let r(c) = l*w(c) - 6*i(c). Factor r(k).
-2*k**2*(k + 1)
Let q(i) = i**3 - i**2 + i - 2. Let c(m) = -28*m**3 + 12*m**2 - 36*m + 44. Let s(x) = c(x) + 24*q(x). Factor s(f).
-4*(f + 1)**3
Let u(q) be the second derivative of q**4/24 - 5*q**3/3 + 25*q**2 + 9*q - 2. Let u(p) = 0. Calculate p.
10
Let v(i) be the third derivative of -3*i**2 + 0*i**3 + 0*i**4 + 0 + 0*i**6 + 0*i + 1/105*i**7 - 1/30*i**5. Factor v(j).
2*j**2*(j - 1)*(j + 1)
Let h(v) be the second derivative of v**4/3 - 2*v**3 + 4*v**2 + 7*v. Factor h(k).
4*(k - 2)*(k - 1)
Let j be -2 - 1094*(-3)/15. Let h = -216 + j. Factor 2/5*o**2 + 2/5 + h*o.
2*(o + 1)**2/5
Suppose 4*w - k + 6*k = 68, 0 = 2*w + 3*k - 34. Factor 2*v**3 - w*v**2 + 11*v**2 - 2 - 2*v + 8*v.
2*(v - 1)**3
Factor -3*l**2 - 2*l + 2*l**3 + 637*l**4 - 636*l**4 + 2*l**2.
l*(l - 1)*(l + 1)*(l + 2)
Let c(i) be the second derivative of -1/20*i**5 + 0*i**2 - 1/6*i**3 + 0 - 3*i - 1/6*i**4. Solve c(h) = 0.
-1, 0
Let u(z) be the third derivative of z**5/60 + z**4/24 + z**3/6 + 3*z**2. Let h(l) = -4*l**2 + l - 6. Let t(i) = 4*h(i) + 12*u(i). Determine g so that t(g) = 0.
1, 3
Let k(n) = -n**2 + 9*n + 21. Let a be 1 + 4 + 9/(-3). Let b(s) = -3*s + 3*s - 4 - 2*s. Let g(j) = a*k(j) + 11*b(j). Factor g(q).
-2*(q + 1)**2
Let b(j) be the third derivative of -j**6/24 - j**5/4 - 5*j**4/12 + 2*j**2. Determine k, given that b(k) = 0.
-2, -1, 0
Let y = -669 + 4685/7. Factor 0 - 8/7*d + y*d**4 + 16/7*d**2 - 10/7*d**3.
2*d*(d - 2)**2*(d - 1)/7
Let l(u) = u**2 + 16*u + 55. Let m be l(-11). Factor m*k - 2/9 + 2/9*k**2.
2*(k - 1)*(k + 1)/9
Factor 6*r**4 - 10*r**3 - 20*r**2 - 6*r**5 - 18 + 22*r**3 + 4*r**5 - 42*r.
-2*(r - 3)**2*(r + 1)**3
Let c = -20/19 - -319/285. Let b(g) be the second derivative of -c*g**6 + 0*g**5 + 1/6*g**4 + 0 + 0*g**2 - 2*g + 0*g**3. Factor b(a).
-2*a**2*(a - 1)*(a + 1)
Let x(m) be the second derivative of 3*m - 1/30*m**5 - 1/12*m**4 + 0*m**3 + 1/6*m**2 + 0. Factor x(r).
-(r + 1)**2*(2*r - 1)/3
Let x be (-6 - -3) + (-10)/(-12). Let g = 5/2 + x. Factor -2/3*n + g + 1/3*n**2.
(n - 1)**2/3
Let s(k) be the second derivative of 0 + 1/24*k**4 - 1/6*k**3 + 4*k + 1/4*k**2. Factor s(q).
(q - 1)**2/2
Let a(x) be the first derivative of 2/3*x**3 + 4 + 0*x + 1/2*x**4 - x**2 - 2/5*x**5. Suppose a(h) = 0. Calculate h.
-1, 0, 1
Let c(d) be the third derivative of 0*d**3 - 1/20*d**5 + 0*d + 1/120*d**6 + d**2 + 1/12*d**4 + 0. Factor c(m).
m*(m - 2)*(m - 1)
Suppose -2*n - 2 = -2*k - 0*k, k - 13 = -2*n. Suppose n*l - 6 = 2. Let 6/5 + 3/5*m - 3/5*m**l = 0. Calculate m.
-1, 2
Suppose 29 = 2*c + 9. Solve 0*x**4 - 2*x**4 + x**4 - 9*x**2 + c*x**2 = 0 for x.
-1, 0, 1
Let m(f) be the first derivative of f**6/36 - f**5/30 - f**4/24 + f**3/18 - 1. What is r in m(r) = 0?
-1, 0, 1
Let r = 27/14 - 79/70. Let d(o) be the first derivative of 1/3*o**6 - r*o**5 - o**2 - 1 + 4/3*o**3 + 0*o + 0*o**4. Factor d(f).
2*f*(f - 1)**3*(f + 1)
Suppose -2*b = -4*b + 3*d + 14, 5*b + 2*d - 54 = 0. Let q = b + -10. Let q*j + 0*j**2 + 0*j - 3*j**2 = 0. What is j?
0
Let j(p) be the third derivative of p**8/1008 - 2*p**7/315 + p**6/60 - p**5/45 + p**4/72 - p**2. Find w, given that j(w) = 0.
0, 1
Let u(k) be the third derivative of k**7/105 - 13*k**6/300 + 3*k**5/50 + k**4/60 - 2*k**3/15 + 11*k**2. Suppose u(o) = 0. Calculate o.
-2/5, 1
Let w(u) = -6*u**2 - 3*u - 6. Let v be (28/(-5))/((-2)/(-10)). Let f = -18 - v. Let l(m) = -m**2 - m - 1. Let h(d) = f*l(d) - 2*w(d). Factor h(q).
2*(q - 1)**2
Factor 11*o - o - 15*o**2 + 0*o**2 + 5*o**4.
5*o*(o - 1)**2*(o + 2)
Find n such that -644 - 16*n**2 - 4*n**3 + 4*n + 660 + 4*n - 4*n = 0.
-4, -1, 1
Let p(o) = 5*o**5 + 12*o**4 + 6*o**3. Let s(x) = x**3. Let n be (-4)/6*(-1 - 2). Suppose -n - 4 = 3*g. Let k(z) = g*s(z) + p(z). Solve k(h) = 0.
-2, -2/5, 0
Factor -21*q**2 + 6*q**2 + 4*q + 2 + 9*q**2.
-2*(q - 1)*(3*q + 1)
Let j be ((-6)/12 + 1)/1. Let j + g**3 - 1/2*g**5 - 1/2*g + 1/2*g**4 - g**2 = 0. Calculate g.
-1, 1
Let t = -8 - -11. Factor 2 + t*u**3 + u**2 + 6*u - 2 - 10*u**2.
3*u*(u - 2)*(u - 1)
Factor 40/3*l - 20/3*l**2 + 0 + 5/3*l**4 - 10/3*l**3.
5*l*(l - 2)**2*(l + 2)/3
Let b be (6/(-4 - 2))/((-2)/4). Let 4/7*s + 0 + 2/7*s**b = 0. Calculate s.
-2, 0
Let k = 5 - 29/6. Let b(a) be the second derivative of -k*a**4 - 2/3*a**3 - a**2 + 0 + 2*a. Factor b(c).
-2*(c + 1)**2
Let z(d) be the third derivative of -d**8/168 + d**7/105 + 2*d**6/15 - 2*d**5/5 + 27*d**2. Find c such that z(c) = 0.
-3, 0, 2
Solve 9/7*t + 0 - 3/7*t**2 = 0 for t.
0, 3
Let s(c) be the second derivative of c**7/1260 + c**6/2160 + 5*c**3/6 - c. Let b(g) be the second derivative of s(g). Solve b(m) = 0.
-1/4, 0
Let g(d) = d**2 + 2*d + 1. Let s be g(-1). Let b(m) be the second derivative of -m + 2/15*m**4 - 3/5*m**3 + 2/5*m**2 + s. What is j in b(j) = 0?
1/4, 2
Let t(l) be the third derivative of -1/504*l**8 + 0*l**7 + 0 + 0*l**3 + 1/30*l**6 - 4/45*l**5 + 0*l - 2*l**2 + 1/12*l**4. Find u such that t(u) = 0.
-3, 0, 1
Let m = -1 - -6. Find n, given that -5*n**m + 2*n**5 + 2*n**4 + 4*n**5 - n**4 = 0.
-1, 0
Factor -6*j**4 + 8*j**3 + 3*j**4 - 3*j**3 - 2*j**3 + 6*j**2.
-3*j**2*(j - 2)*(j + 1)
Let r be (-6)/270*3*-2. Let b(s) be the second derivative of 0 + s**5 + r*s**6 - 2*s**4 + 2*s**2 - 1/7*s**7 + 1/3*s**3 - 3*s. Suppose b(t) = 0. What is t?
-2, -1/3, 1
Let b be 2/7 + (-60)/(-35). Fin