- 2*z + 2/3*z**4 - 4/9 + 26/9*z**3 - 2/9*z**2 = 0?
-1, -1/4, 1, 2
Let a(q) = -3*q + 1. Let c be a(-1). Solve 2*h**c + 0*h**4 - 5*h**4 + 6*h**3 - 3*h**5 = 0.
-2, 0, 1
Let x(n) = n**3 - 8*n**2 - 9*n + 4. Let w be x(9). Let t(r) be the first derivative of 1 + 0*r + 0*r**2 + 0*r**3 - 1/4*r**w. Factor t(l).
-l**3
Suppose -4*s + 22 = 2*f, 3*s - 11 - 7 = -2*f. Factor b**2 + b**3 + s*b**2 - 6*b**2.
b**2*(b - 1)
Let u(w) be the second derivative of -1/6*w**3 - 1/4*w**4 + 0*w**2 + w - 3/20*w**5 - 1/30*w**6 + 0. Factor u(a).
-a*(a + 1)**3
Let q(o) be the second derivative of o**6/15 - o**5/5 + o**4/6 - 2*o. What is c in q(c) = 0?
0, 1
Let o(b) be the third derivative of -1/150*b**6 + 0*b + 1/75*b**5 - 5*b**2 + 1/840*b**8 + 0 - 1/525*b**7 + 1/60*b**4 - 1/15*b**3. Factor o(m).
2*(m - 1)**3*(m + 1)**2/5
Let v(x) be the first derivative of -x**6/6 - 4*x**5/5 - 3*x**4/2 - 4*x**3/3 - x**2/2 + 10. Suppose v(s) = 0. Calculate s.
-1, 0
Let m(a) = a**5 + a**2 + a - 1. Let r(x) = 4*x**5 + 9*x**4 + 30*x**3 + 49*x**2 + 36*x + 6. Let i(n) = -3*m(n) + r(n). Factor i(b).
(b + 1)**3*(b + 3)**2
Factor -2/7*n**2 - 6/7*n - 4/7.
-2*(n + 1)*(n + 2)/7
Suppose 8 = l + 3*l. Let a(n) be the first derivative of 1/3*n**2 + l - 1/3*n + 1/15*n**5 - 1/6*n**4 + 0*n**3. Factor a(c).
(c - 1)**3*(c + 1)/3
Let o(z) be the second derivative of 2*z**6/15 + 4*z**5/5 + z**4 - 8*z**3/3 - 8*z**2 + 2*z. Factor o(b).
4*(b - 1)*(b + 1)*(b + 2)**2
Let w(n) be the second derivative of 1/6*n**4 + 1/15*n**6 - 1/5*n**5 + 0 - 3*n + 0*n**2 + 0*n**3. Factor w(r).
2*r**2*(r - 1)**2
Let p be ((-1)/((-21)/(-6)))/((-6)/28). Factor 2/3 + 1/6*w**3 + p*w + 5/6*w**2.
(w + 1)*(w + 2)**2/6
Suppose 3*a - 2*w - 9 = 0, 5 + 4 = 3*a + 3*w. Let b(n) be the first derivative of -2*n**2 + 0*n - 2/5*n**5 + 2/3*n**a + n**4 + 2. Factor b(v).
-2*v*(v - 2)*(v - 1)*(v + 1)
Let w = 5 - 0. Suppose -2*y = v - 1, -1 = -v - w*y - 3. Factor 5*n**v - 10*n**2 + 0*n**3 - 4*n + n**3.
2*n*(n - 2)*(3*n + 1)
Let u be ((-36)/108)/((-3)/18). Factor 2/9*n + 0 - 2/9*n**u.
-2*n*(n - 1)/9
Let b(y) be the third derivative of -y**8/280 - 16*y**7/175 - y**6 - 152*y**5/25 - 112*y**4/5 - 256*y**3/5 + y**2 - 5*y. Factor b(m).
-6*(m + 2)**2*(m + 4)**3/5
Let o(g) be the first derivative of 0*g - 19/4*g**4 + g**2 + 2 - 21/2*g**6 + 87/5*g**5 - 7/3*g**3. Solve o(l) = 0 for l.
-2/7, 0, 1/3, 1
Let h(b) = 3*b**3 + 6*b**2 + 2*b. Let k(i) = i. Let g(n) = -h(n) - k(n). Factor g(a).
-3*a*(a + 1)**2
Let x(c) be the second derivative of -c**6/90 - c**5/30 + c**4/12 - 14*c. Factor x(h).
-h**2*(h - 1)*(h + 3)/3
Let c be 57/38*(-1)/(-3). Factor c*i**3 - 1/4 - 5/4*i**2 + i.
(i - 1)**2*(2*i - 1)/4
Let q be (-2)/5 + (-27)/(-30). Determine t so that 0 + 1/2*t**2 + 0*t - 3/2*t**3 - q*t**5 + 3/2*t**4 = 0.
0, 1
Let c(j) be the third derivative of -j**6/40 + 5*j**2. Factor c(r).
-3*r**3
Let z(x) = -x - 12. Suppose 3*t = -3, -4*t - 41 = 3*v - 1. Let u be z(v). Let -1/5*j**2 + u*j + 1/5 = 0. What is j?
-1, 1
Let s = -16 + 26. Let f be 6/s*8/12. Find c, given that -8/5*c - 8/5*c**3 - 12/5*c**2 - f - 2/5*c**4 = 0.
-1
Let c(a) be the second derivative of 4*a + 1/12*a**4 + 0*a**2 + 0 - 1/6*a**3. Factor c(x).
x*(x - 1)
Let u(k) be the second derivative of -k**6/75 + k**5/10 - k**4/5 - 4*k**3/15 + 8*k**2/5 + 2*k + 8. What is t in u(t) = 0?
-1, 2
Let d(q) be the first derivative of -q**6/24 - q**5/20 - 1. Factor d(b).
-b**4*(b + 1)/4
Let f(u) be the second derivative of u**2 - 2*u + 0 + 1/10*u**5 + 1/2*u**4 + u**3. What is n in f(n) = 0?
-1
Let k(o) = 2*o + 30. Let j be k(-14). Let f(s) be the second derivative of 0*s**j + 1/6*s**4 + 2*s + 0 + 1/3*s**3. Factor f(u).
2*u*(u + 1)
Let y = 28 + -26. Let o(b) be the second derivative of 0 - 1/15*b**6 + y*b + 0*b**2 + 1/3*b**3 - 1/2*b**4 + 3/10*b**5. Factor o(i).
-2*i*(i - 1)**3
Find f, given that -1/2*f**2 + 0 - f = 0.
-2, 0
Factor -4/7*v - 1/7*v**4 + 0 - 5/7*v**3 - 8/7*v**2.
-v*(v + 1)*(v + 2)**2/7
Let p(a) be the second derivative of -a**8/168 + a**7/35 - a**6/20 + a**5/30 - 3*a**2/2 - 2*a. Let q(z) be the first derivative of p(z). Solve q(c) = 0 for c.
0, 1
Let j(n) = -n**4 - 6*n**3 + 6*n**2 - 5*n. Let t(s) = 8*s**4 + 42*s**3 - 42*s**2 + 36*s. Let f(i) = -44*j(i) - 6*t(i). Factor f(g).
-4*g*(g - 1)**3
Let q(o) be the second derivative of o**6/660 - o**4/132 - o**2/2 - o. Let n(i) be the first derivative of q(i). Find c such that n(c) = 0.
-1, 0, 1
Suppose 2*d - c - 1 = 0, 3*d - c + 31 = 32. Factor -3*x**4 + 3/2*x**5 - 3/2*x + d*x**3 + 0 + 3*x**2.
3*x*(x - 1)**3*(x + 1)/2
Let p(o) be the second derivative of -o**7/840 - o**6/120 + o**4/6 + o**3/2 - 4*o. Let h(l) be the second derivative of p(l). Let h(j) = 0. What is j?
-2, 1
Let v = 143/16 - 301/48. What is g in 1/3*g**3 + 4/3 + v*g + 5/3*g**2 = 0?
-2, -1
Suppose -2/7*w**2 - 12/7*w**3 - 18/7*w**4 + 0 + 0*w - 8/7*w**5 = 0. What is w?
-1, -1/4, 0
Let r(k) be the third derivative of k**7/2625 - 2*k**6/375 + 11*k**5/375 - 2*k**4/25 + 3*k**3/25 - 24*k**2. Factor r(a).
2*(a - 3)**2*(a - 1)**2/25
Let h(c) be the second derivative of 0*c**3 + 0 - 1/36*c**4 + 1/6*c**2 - 4*c. Determine f, given that h(f) = 0.
-1, 1
Let i(l) be the second derivative of -l + 1/48*l**4 - 1/2*l**2 + 0 + 1/8*l**3. Factor i(x).
(x - 1)*(x + 4)/4
Let x(o) be the second derivative of 3*o**5/20 - 6*o. Factor x(i).
3*i**3
Let n(i) = 4*i**2 - 2*i + 1. Let k(d) = d**4 + d**2 + 1. Let j(w) = -2*k(w) + 2*n(w). Factor j(z).
-2*z*(z - 1)**2*(z + 2)
Let v = 1/55 - -19/55. Factor -2/11 - 2/11*i**2 + v*i.
-2*(i - 1)**2/11
Suppose 0 = -4*b + 9*b. Let x(u) be the third derivative of -1/105*u**7 + 0*u - 1/60*u**6 + b*u**3 + 0 + 1/30*u**5 + 1/12*u**4 - u**2. Factor x(m).
-2*m*(m - 1)*(m + 1)**2
Let k(f) be the third derivative of -3*f**8/112 - 59*f**7/350 - 69*f**6/200 - 17*f**5/100 + 3*f**4/10 + 2*f**3/5 + 3*f**2 - 5. What is h in k(h) = 0?
-2, -1, -1/3, 2/5
Let f(u) be the first derivative of 1/5*u**2 - 1 + 14/5*u**3 - 4/5*u. Determine t so that f(t) = 0.
-1/3, 2/7
Let l(q) be the third derivative of -q**7/3360 + q**6/720 - q**5/480 - q**3/3 + q**2. Let f(x) be the first derivative of l(x). Let f(y) = 0. What is y?
0, 1
Suppose 10 = y + 4*y. Suppose 0 = y*m - 5*d - 26 + 6, -4*d = m + 16. What is l in m*l**2 + 2/3*l + 0 - 2/3*l**3 = 0?
-1, 0, 1
Factor -2/5*j**3 + 4/5*j + 0 + 2/5*j**2.
-2*j*(j - 2)*(j + 1)/5
Suppose -5 = 5*o - 35. Let p(a) be the second derivative of -1/10*a**5 + 2*a**2 + 1/5*a**o + 1/3*a**3 + 0 + a - 5/6*a**4. Factor p(q).
2*(q - 1)**2*(q + 1)*(3*q + 2)
Let s = -19 - -43. Let k be s/35 + (-6)/15. What is f in 2/7*f**3 + 2/7*f**4 - k*f**2 - 2/7*f + 0 = 0?
-1, 0, 1
Suppose -2*v - 4*q = 8, 2*v + v + 5*q = -9. Determine k so that 0*k + 1/3*k**v + k**4 + k**3 + 0 + 1/3*k**5 = 0.
-1, 0
Suppose -7*w + 6 = -5*w. Let l(h) be the first derivative of 2/3*h + 0*h**2 - 2/9*h**w - 1. Factor l(c).
-2*(c - 1)*(c + 1)/3
Factor 3/4*g + 0 - 27/8*g**3 + 21/8*g**2.
-3*g*(g - 1)*(9*g + 2)/8
Let g(u) = -u**3 + u**2 + 6*u + 4. Let r(w) be the second derivative of -w**5/20 + w**3/2 + w**2 - 2*w. Let s(i) = 2*g(i) - 5*r(i). Factor s(v).
(v - 1)*(v + 1)*(3*v + 2)
Let f(p) = p**4 + 2*p**2 + 4*p - 1. Let o(h) = 3*h**4 + h**3 + 7*h**2 + 13*h - 3. Let r = 18 + -4. Let i(l) = r*f(l) - 4*o(l). Factor i(b).
2*(b - 1)**3*(b + 1)
Let s be (-12)/(-8)*-14*8/(-84). Factor 0 - o - 1/3*o**4 - 5/3*o**3 - 7/3*o**s.
-o*(o + 1)**2*(o + 3)/3
Let o(g) be the third derivative of g**7/315 - g**6/90 - 3*g**2. Find w, given that o(w) = 0.
0, 2
Let u(z) be the third derivative of 0*z**3 + 1/420*z**7 + 1/336*z**8 + 0*z + 0*z**4 - 1/120*z**6 - 1/120*z**5 + 0 - 2*z**2. Suppose u(o) = 0. Calculate o.
-1, -1/2, 0, 1
Let b(h) = 5*h**4 - h**3 - 5*h**2 + h - 6. Let v(k) = 11*k**4 - 2*k**3 - 11*k**2 + 2*k - 13. Let r(z) = 13*b(z) - 6*v(z). Solve r(l) = 0 for l.
-1, 0, 1
Factor 1 - 2*l**2 - 2*l**4 + l + l**5 - 2*l**4 + 5*l**4 - 2*l**3.
(l - 1)**2*(l + 1)**3
Let o(b) = b**3 - b**2. Let n(g) = 9*g**3 - 12*g**2. Let x(j) = -5*n(j) + 40*o(j). Factor x(z).
-5*z**2*(z - 4)
Let b(i) be the second derivative of -3*i**5/20 + i**3/2 + 14*i. Factor b(m).
-3*m*(m - 1)*(m + 1)
Let n = -1 + 5. Determine c so that -4 - 6*c**2 + 3*c**2 + 5*c**2 - 6*c - n*c**2 = 0.
-2, -1
Let n be 12/(-36) - (-5)/6. Factor n + 3/2*h**2 + 3/2*h + 1/2*h**3.
(h + 1)**3/2
Let p = -5 + 7. Solve 0*i**3 - i**4 - 2*i**