ppose 0 = -5*h + 40 - 15. Determine v, given that -h + 2*v + 5 - 18*v**3 = 0.
-1/3, 0, 1/3
Let u(c) be the first derivative of -343*c**4 + 2352*c**3 - 6048*c**2 + 6912*c + 21. Factor u(z).
-4*(7*z - 12)**3
Let s be 18 - (-3)/3*-1. Suppose -4*k = -3*m - s, -2*k - 6*m + 3*m - 5 = 0. Factor -4*w - k*w**2 + 3*w**4 - 1 + 2*w**3 + 6*w + w**5 - 5*w.
(w - 1)*(w + 1)**4
Let d be 5 + -2 + 102/18. Find f such that d*f**2 + 16*f**3 + 6*f**4 + 0 + 4/3*f = 0.
-2, -1/3, 0
Let r(o) be the third derivative of -o**5/330 - o**4/66 + o**3/11 + 3*o**2. Factor r(f).
-2*(f - 1)*(f + 3)/11
Let g(p) be the first derivative of p**4/28 + 8*p**3/21 + 10*p**2/7 + 16*p/7 + 8. Factor g(r).
(r + 2)**2*(r + 4)/7
Let d(n) be the third derivative of -5*n**6/8 - 3*n**5/2 + 9*n**4/2 - 4*n**3 - 4*n**2. Factor d(m).
-3*(m + 2)*(5*m - 2)**2
Let u = 4388/15 + -1271/5. Let d = 39 - u. Factor -1/3*x**3 + d*x**2 - 1/3*x + 0.
-x*(x - 1)**2/3
Let i(t) be the first derivative of -t**6/1260 - t**5/210 + 5*t**3/3 + 2. Let p(l) be the third derivative of i(l). Factor p(b).
-2*b*(b + 2)/7
Let n(y) be the third derivative of -y**7/1470 + y**6/420 + y**5/140 - y**4/42 - 2*y**3/21 - 15*y**2. Let n(b) = 0. Calculate b.
-1, 2
Let f(d) be the first derivative of 2/3*d**2 - 10/9*d**3 - 7/6*d**4 + 0*d - 2. Let f(k) = 0. What is k?
-1, 0, 2/7
Let y(b) be the second derivative of b**5/70 - b**4/42 - 3*b. Factor y(w).
2*w**2*(w - 1)/7
Suppose 3*w = g - 0*w - 19, -4*g + 26 = -2*w. Let a(j) = -j**3 + 3*j**2 + 4*j + 2. Let o be a(g). Factor 2 - 2*l**2 + 7*l**o + l**3 - l**2 + 5*l.
(l + 1)**2*(l + 2)
Let n(y) be the first derivative of 1 - 1/33*y**6 + 1/11*y**4 + 2/11*y + 2/55*y**5 - 1/11*y**2 - 4/33*y**3. Solve n(k) = 0 for k.
-1, 1
Let q(o) = -11*o**2 - 13*o - 7. Let l(p) = -39*p**2 - 45*p - 24. Let t(a) = -5*l(a) + 18*q(a). Solve t(f) = 0 for f.
-2, -1
Let b(u) be the second derivative of u**6/75 + u**5/25 + u**4/30 - 7*u. Solve b(h) = 0.
-1, 0
Let r(h) be the first derivative of -h**4/2 + 14*h**3/3 - 14*h**2 + 16*h - 64. Factor r(p).
-2*(p - 4)*(p - 2)*(p - 1)
Let b(q) = -13*q**2 - 37*q - 5. Let w(y) = 72*y**2 + 204*y + 28. Let f(k) = 28*b(k) + 5*w(k). Factor f(a).
-4*a*(a + 4)
Let y(q) be the first derivative of 2*q**5/55 - 4*q**3/11 - 8*q**2/11 - 6*q/11 + 4. Factor y(b).
2*(b - 3)*(b + 1)**3/11
Let 36*f**3 + 212/3*f - 100*f**2 - 12 + 16/3*f**4 = 0. Calculate f.
-9, 1/4, 1
Let m(v) = -9*v**2 - 8*v + 17. Let b(j) = 5*j**2 + 4*j - 9. Let i(g) = 5*b(g) + 3*m(g). Factor i(t).
-2*(t - 1)*(t + 3)
Let y = 9 - 9. Suppose -5*w + w = y. Factor s - 2/3 + w*s**2 - 1/3*s**3.
-(s - 1)**2*(s + 2)/3
Let g(j) be the third derivative of j**6/120 + j**5/60 - j**2. Suppose g(s) = 0. Calculate s.
-1, 0
Factor 20 + 4*r + 7*r + 73*r + r + 20*r**2.
5*(r + 4)*(4*r + 1)
Let o(m) be the third derivative of -m**7/105 - m**6/30 + m**5/30 + m**4/6 + 3*m**2. What is i in o(i) = 0?
-2, -1, 0, 1
Suppose 6 = -4*q + 18. Factor -6*n - 12*n**5 + 4*n**3 + 6*n - n**q - 9*n**4.
-3*n**3*(n + 1)*(4*n - 1)
Suppose -9 = -0*t + 3*t, -5*t = -s + 15. Factor s*r + 0 + 2/9*r**2.
2*r**2/9
Let r(t) = 2*t**2 + 2*t - 1. Let z be r(-2). Find k, given that 0 + 6/13*k**4 + 2/13*k**z - 6/13*k**2 - 4/13*k + 2/13*k**5 = 0.
-2, -1, 0, 1
Factor 1/3*n**4 - 1/6 - 5/6*n**3 + 1/6*n + 1/2*n**2.
(n - 1)**3*(2*n + 1)/6
Let n = 1117/5 - 223. Let a be ((-32)/50)/(2/(-5)). Solve a*j - 8/5 - n*j**2 = 0.
2
Let q = -205/3 + 69. Factor -q*p**4 - 4/3*p**3 + 2/3 + 0*p**2 + 4/3*p.
-2*(p - 1)*(p + 1)**3/3
Let t(p) be the third derivative of -p**8/504 - p**7/63 - p**6/60 + 13*p**5/90 + 2*p**4/9 - 4*p**3/3 + 9*p**2. Solve t(k) = 0 for k.
-3, -2, 1
Factor 2/7*x**2 + 10/7 - 12/7*x.
2*(x - 5)*(x - 1)/7
Let x(w) be the first derivative of 8*w**5/5 - 5*w**4 + 6*w**3 - 7*w**2/2 + w + 40. Factor x(c).
(c - 1)*(2*c - 1)**3
Let n(x) be the first derivative of -x**6/600 + x**5/150 - x**4/120 - x**2 + 3. Let a(j) be the second derivative of n(j). Factor a(q).
-q*(q - 1)**2/5
Let h(i) be the second derivative of i**4/66 + i**3/33 - 6*i**2/11 - 7*i. Factor h(a).
2*(a - 2)*(a + 3)/11
Suppose 18 = -4*k - 42. Let u = k - -17. Factor 2/7*c**u + 2/7*c**3 - 2/7*c - 2/7*c**4 + 0.
-2*c*(c - 1)**2*(c + 1)/7
Let r(o) be the first derivative of -4/5*o**2 - 3 - 1/5*o**4 - 2/3*o**3 - 2/5*o. What is s in r(s) = 0?
-1, -1/2
Let i(q) = -4*q**3 + 5*q**2 - q + 1. Let f(n) be the first derivative of -n**3/3 + n**2/2 - n + 6. Let t(r) = f(r) + i(r). Factor t(h).
-4*h**2*(h - 1)
Let w(h) be the second derivative of -h**5/15 - h**4/6 - 11*h**2/2 - h. Let y(q) be the first derivative of w(q). Factor y(g).
-4*g*(g + 1)
Let w(p) be the first derivative of p**4/18 + 8*p**3/27 + 6. Solve w(f) = 0.
-4, 0
Let y be 3*(-4 - -1 - -4). Determine v so that v**y + 2*v - v**4 + 2*v**4 - 3*v**2 - v**3 = 0.
-2, 0, 1
Let j(c) be the first derivative of -4*c**6/15 + 6*c**5/25 + c**4/2 - 2*c**3/5 - c**2/5 + 22. What is k in j(k) = 0?
-1, -1/4, 0, 1
Let u(o) = o - 3. Let c(z) = z**2 - 3*z + 1. Let r be c(4). Let b be u(r). Find w such that 4*w - 5*w - b*w**3 + 3*w**3 = 0.
-1, 0, 1
Let f(p) = 4*p**3 + 4*p**2 + 2. Let c(r) = 5*r**3 + 4*r**2 - r + 3. Let m(u) = -2*c(u) + 3*f(u). Solve m(o) = 0 for o.
-1, 0
Suppose 6/7*z**3 + 0 - 2/7*z + 4/7*z**2 = 0. What is z?
-1, 0, 1/3
Let y(b) be the third derivative of -b**8/90 + 64*b**7/1575 + 61*b**6/900 - b**5/450 - b**4/30 - 7*b**2. Determine j so that y(j) = 0.
-1/2, 0, 2/7, 3
Suppose 5*z = 1 + 4. Let n = z - -1. Suppose -2*g - 1/2 + 3/2*g**4 + n*g**3 - g**2 = 0. What is g?
-1, -1/3, 1
Let z(t) be the first derivative of -t**6/180 - t**5/240 + t**3 + 2. Let c(k) be the third derivative of z(k). Let c(a) = 0. Calculate a.
-1/4, 0
Find a, given that -39/4*a**2 + 9*a - 3 - 3/4*a**4 + 9/2*a**3 = 0.
1, 2
Let j be 476/(-160) + 1 + 2. Let o(l) be the second derivative of 0 - 1/12*l**4 - j*l**5 + 2*l - 1/12*l**3 + 0*l**2. What is r in o(r) = 0?
-1, 0
Let q = -22 + 30. Let k(w) be the third derivative of 0 + 1/48*w**4 + 13/240*w**6 - 3*w**2 - 1/35*w**7 + 0*w**3 - 1/20*w**5 + 1/168*w**q + 0*w. Factor k(t).
t*(t - 1)**2*(2*t - 1)**2/2
Let f be (-3)/(-5) + (363/(-55) - -6). Factor f + 0*x - 1/4*x**2.
-x**2/4
Let k = 189/16 - 1657/144. Let q(t) be the second derivative of -2*t + k*t**4 - 1/10*t**6 - 2/3*t**2 + 1/10*t**5 + 0 - 2/9*t**3. Let q(p) = 0. What is p?
-2/3, 1
Let t(q) = 2*q**3 - 3*q**2. Let j be t(2). Suppose -j*y + 2 = -w - 8, -2*y - 4 = 4*w. Factor 5*a**4 + y*a**5 + 5*a**2 - a**4 + 2*a**3 - 5*a**2.
2*a**3*(a + 1)**2
Suppose -4/7*n**2 + 20/7 - 16/7*n = 0. What is n?
-5, 1
Let m be 4 + 4/(-2)*1. Factor -r + 2 + 3*r**2 - 7*r**m + 3*r**2.
-(r - 1)*(r + 2)
Let d(x) be the first derivative of 5*x**4/4 - 10*x**3/3 + 5*x**2/2 + 15. Solve d(s) = 0.
0, 1
Let j(g) be the first derivative of 3*g**5/40 + 3*g**4/32 - g**3/8 - 3*g**2/16 - 13. Solve j(i) = 0 for i.
-1, 0, 1
Suppose -11 = -4*w + 5. Factor 0*f**3 + 0 + 2/3*f**5 + 0*f**2 + 2/3*f**w + 0*f.
2*f**4*(f + 1)/3
Suppose 0 = 9*o + 954 - 972. Factor -1/2*r - 1/2*r**4 + 0 + 1/2*r**3 + 1/2*r**o.
-r*(r - 1)**2*(r + 1)/2
Let g(v) be the first derivative of 0*v**4 + 0*v**2 + 1 + 1/10*v**5 - 1/6*v**3 + 0*v. Factor g(c).
c**2*(c - 1)*(c + 1)/2
Determine n so that -4 - 4*n**3 + 4 + 4*n**5 + 4*n**2 - 4*n**4 = 0.
-1, 0, 1
Let m = -27/7 - -88/21. Find v such that 4/3*v**4 + 2*v**3 + m*v**5 + 1/3*v + 0 + 4/3*v**2 = 0.
-1, 0
Suppose 0 = -3*s - 2*o + 7, 2*s - 3*o + 0*o = 22. Solve 39/2*l**4 - 21/4*l**s + 3*l**2 + 3*l + 0 - 81/4*l**3 = 0 for l.
-2/7, 0, 1, 2
Let g(w) be the first derivative of w**2 + 0*w**3 - 2 - 1/6*w**4 - 3*w. Let p(z) be the first derivative of g(z). Factor p(k).
-2*(k - 1)*(k + 1)
Let g be -6*(-1)/((-6)/(-4)). Suppose 0 = 2*q + 2*q - 20. Factor 7*c**g - c**q - 7*c**4.
-c**5
Let 0 - 2/5*u**2 - 2/5*u**4 + 4/5*u**3 + 0*u = 0. Calculate u.
0, 1
Let w = -66 - -68. Let -4/5*n**w - 1/5*n + 0 = 0. Calculate n.
-1/4, 0
Let j(f) be the first derivative of 0*f**4 + 2*f + f**2 + 4 + 1/20*f**5 - 1/2*f**3. Let c(z) be the first derivative of j(z). Solve c(k) = 0 for k.
-2, 1
Let p(d) = -7*d**5 - 4*d**4 + 5*d**3 + 3*d**2 + 3. Let q(b) = -8*b**5 - 4*b**4 + 4*b**3 + 4*b**2 + 4. Let m(h) = 4*p(h) - 3*q(h). Factor m(g).
-4*g**3*(g - 1)*(g + 2)
Find a, given that 24/19*a**3 + 0 + 18/19*a**2 + 4/19*a + 10/19*a**4 = 0.
-1, -2/5, 0
Let j(d) be the third derivative of -d*