 + 4/3*c**4 - 8/9*c = 0 for c.
0, 1, 2
Find h, given that 2/5*h**2 + 0*h - 2/5*h**3 + 0 - 4/5*h**4 = 0.
-1, 0, 1/2
Let u(o) = -5*o**4 + 4*o**2 - 3*o - 5. Let g(j) = -16*j**4 + 12*j**2 - 10*j - 16. Let y(t) = -6*g(t) + 20*u(t). Factor y(b).
-4*(b - 1)**2*(b + 1)**2
What is c in -2/3*c**5 + 6*c**4 - 14/3 - 28/3*c**3 + 10*c - 4/3*c**2 = 0?
-1, 1, 7
Let f be 12 + -8 - (-1 - -3). Factor -2*q**2 - 1 + 0*q**2 + 5 + f*q.
-2*(q - 2)*(q + 1)
Let y(h) be the second derivative of -h**6/360 - h**5/120 + h**4/12 - 7*h**3/6 - h. Let x(c) be the second derivative of y(c). Factor x(b).
-(b - 1)*(b + 2)
Let b(a) be the first derivative of -3*a**5/20 + 3*a**3/4 - 3*a**2/4 + 6. Suppose b(d) = 0. Calculate d.
-2, 0, 1
Let g(c) be the second derivative of c**8/224 + c**7/35 + 3*c**6/80 - c**5/10 - c**4/4 + 2*c**2 + c. Let u(j) be the first derivative of g(j). Solve u(x) = 0.
-2, -1, 0, 1
Let j = -20/17 - -174/119. Suppose -j*d**2 + 6/7*d**4 + 0*d + 0 - 4/7*d**3 = 0. Calculate d.
-1/3, 0, 1
Let w(v) = v + 6. Let s be w(-3). Determine j, given that -3*j**s - 5*j**3 + 4*j - j + 5*j**3 = 0.
-1, 0, 1
Let w(d) be the third derivative of -1/175*d**7 + 0*d**3 + 0 + 1/75*d**6 - 1/150*d**5 - 3*d**2 + 0*d**4 + 0*d. Find o such that w(o) = 0.
0, 1/3, 1
Let j(o) be the first derivative of -5*o**3/3 - 5*o**2 - 5*o - 18. Factor j(b).
-5*(b + 1)**2
Let r(h) = -6*h - 4. Let g be r(-4). Let y = g - 17. Suppose 2/3*l**4 + 0 - 2/3*l**2 + 0*l**y - 1/3*l**5 + 1/3*l = 0. What is l?
-1, 0, 1
Let d be 1 - (78/18 - 4). Factor -1/3 - 1/3*g**2 + d*g.
-(g - 1)**2/3
Let s = 71149/885 + 178/177. Let i = s + -81. Factor -v + 1/5*v**3 - 1/5*v**4 + 3/5*v**2 + i.
-(v - 1)**3*(v + 2)/5
Let q(k) be the second derivative of -k**6/6 - k**5/20 - 7*k. Factor q(c).
-c**3*(5*c + 1)
Let g = 1/10 + 3/20. Suppose g*c**3 + 1/4*c**2 + 0*c + 0 = 0. Calculate c.
-1, 0
Factor -39*j**2 + 36*j**2 - 48 + 11*j + 13*j.
-3*(j - 4)**2
Let a(x) = 3*x**4 - 17*x**3 + 12*x**2 + 5*x. Let w(h) = -3*h**4 + 18*h**3 - 12*h**2 - 6*h. Let f(p) = 6*a(p) + 5*w(p). Factor f(v).
3*v**2*(v - 2)**2
Let t = -164/3 + 57. Determine w, given that t*w - 2/3 - 1/3*w**4 - 3*w**2 + 5/3*w**3 = 0.
1, 2
Suppose -1 + 3 = j. Factor 0*t**5 - j*t**3 + 4*t**4 + 3*t**5 - 4*t**2 - t**5.
2*t**2*(t - 1)*(t + 1)*(t + 2)
Let x(d) be the first derivative of -5*d**6/6 + 2*d**5 + 5*d**4/2 - 40*d**3/3 + 35*d**2/2 - 10*d - 26. Factor x(c).
-5*(c - 1)**4*(c + 2)
Let r(w) = 3*w - 8. Let u be r(6). Let b(f) = -f + 10. Let o be b(u). Factor 0*m + o + 4/5*m**3 - 2/5*m**2 - 2/5*m**4.
-2*m**2*(m - 1)**2/5
Let q = -135 - -135. Factor 4/7*h - 2/7*h**2 + q.
-2*h*(h - 2)/7
Let c(q) = -q. Let k be c(-2). Determine v, given that -v**2 + 13*v**2 + v**3 + k*v**3 + 8*v + v**3 = 0.
-2, -1, 0
Factor 5*r**2 + 5*r**3 + r**3 - r**2.
2*r**2*(3*r + 2)
Suppose z + 0*z = 0. Factor 0 + 1/2*p**4 - 1/2*p**2 + 1/2*p**3 - 1/2*p**5 + z*p.
-p**2*(p - 1)**2*(p + 1)/2
Let w(y) be the third derivative of -y**5/12 + 5*y**4/6 + 25*y**3/6 - 10*y**2. Suppose w(a) = 0. Calculate a.
-1, 5
Let w(k) = -2*k**4 + 9*k**3 + k - 3. Let g(y) = y**5 + y**4 - 9*y**3 - y**2 + 2. Let x(b) = 6*g(b) + 4*w(b). Find v, given that x(v) = 0.
-1, 0, 1/3, 2
Let j(t) be the second derivative of -t**5/80 - t**4/16 - t**3/8 - t**2/8 + 8*t. Suppose j(r) = 0. Calculate r.
-1
Solve 16/7 + 0*t - 4/7*t**2 = 0 for t.
-2, 2
Let u(w) be the first derivative of 1/4*w**4 + 0*w + 1/6*w**6 + 0*w**3 + 0*w**2 + 1 + 2/5*w**5. Suppose u(q) = 0. Calculate q.
-1, 0
Suppose -2*g + 3*g - 2 = 0. Suppose 4*b + 4*m = 40, 3*m - 22 - 2 = -g*b. Suppose 2 + 2 + b*x + x + x**2 - 3*x = 0. What is x?
-2
Let y(h) be the third derivative of -h**7/525 + h**6/60 - 4*h**5/75 + h**4/15 + 24*h**2. Suppose y(n) = 0. Calculate n.
0, 1, 2
Let q(z) be the first derivative of 14*z**5/5 + 5*z**4/2 - 6*z**3 - 5*z**2 + 4*z - 9. Factor q(b).
2*(b - 1)*(b + 1)**2*(7*b - 2)
Let q(n) = 2*n**2 - 6*n - 5. Let m(a) = a**2 - 5*a - 4. Let o(r) = -r - 10. Let t be o(-12). Let u(l) = t*q(l) - 3*m(l). Factor u(s).
(s + 1)*(s + 2)
Factor a**3 + 4*a**2 + 2*a**3 + 2*a**3 - a**3.
4*a**2*(a + 1)
Let x(o) be the first derivative of -6*o**5/25 - 6*o**4/5 + 22*o**3/5 - 18*o**2/5 - 4. Find q such that x(q) = 0.
-6, 0, 1
Let j(k) be the first derivative of 4*k**5/5 - 3*k**4 - 12*k**3 - 10*k**2 - 24. Factor j(l).
4*l*(l - 5)*(l + 1)**2
Let s(k) = -2*k**3 - 3*k**2. Suppose 3*d - 17 = -d + 5*y, 5*y = -25. Let v be s(d). Find f, given that 2/3*f**2 + 0*f - f**v + 0 + 1/3*f**3 = 0.
-2/3, 0, 1
Let c(y) be the second derivative of 1/60*y**4 + 2*y - 1/15*y**3 + 0 + 1/10*y**2. Factor c(o).
(o - 1)**2/5
Let r be -2 + (-109)/110 + 3. Let w(x) be the second derivative of 0 - 2*x + r*x**5 + 4/33*x**3 + 0*x**2 - 2/33*x**4. Factor w(l).
2*l*(l - 2)**2/11
Let c(m) be the third derivative of -m**8/4032 + m**6/360 - m**5/360 - m**4/96 + m**3/36 + 26*m**2. Factor c(u).
-(u - 1)**3*(u + 1)*(u + 2)/12
Let c(i) be the first derivative of -4*i - 3*i**2 - 6 - 2/3*i**3. Factor c(m).
-2*(m + 1)*(m + 2)
Suppose 0*h - 16 = -4*h. Suppose h = -4*d + 12. Factor z**d + 1/2*z**5 - 1/2*z**4 - z**3 + 1/2*z - 1/2.
(z - 1)**3*(z + 1)**2/2
Let c(o) = -o**3 - o**2 - o + 1. Let w = -4 + 1. Let b = -19 - -18. Let x(g) = 6*g**3 + 10*g**2 + 8*g - 2. Let d(m) = b*x(m) + w*c(m). Factor d(a).
-(a + 1)**2*(3*a + 1)
Let x(h) be the third derivative of 0*h - 1/15*h**5 - 1/24*h**4 + 1/9*h**3 + 0 - 7/360*h**6 + 3*h**2. Suppose x(b) = 0. What is b?
-1, 2/7
Let t(b) be the third derivative of b**7/945 - b**6/540 - b**5/90 + b**4/108 + 2*b**3/27 - 22*b**2. Factor t(k).
2*(k - 2)*(k - 1)*(k + 1)**2/9
Suppose -4*f + 2 = -22. Let x(i) be the first derivative of -14/5*i**5 - 1/2*i**4 + 2*i**f + 4/3*i**3 + 0*i**2 + 2 + 0*i. What is u in x(u) = 0?
-1/2, 0, 2/3, 1
Let o(c) be the first derivative of 2*c**3/39 - 24*c**2/13 + 288*c/13 - 18. Determine x so that o(x) = 0.
12
Solve 0*r + 0*r**2 + 0 - 3/7*r**3 = 0 for r.
0
Let n(j) = -3*j**2 + 3*j + 6. Let h(l) = -6*l**2 + 6*l + 17. Let b(c) = -1. Let r(a) = 5*b(a) + h(a). Let s(d) = -7*n(d) + 3*r(d). Factor s(y).
3*(y - 2)*(y + 1)
Suppose 2*l + l = 0. Let 1/2*f**5 + f**2 + 0*f + l*f**4 - 3/2*f**3 + 0 = 0. What is f?
-2, 0, 1
Let k(a) be the third derivative of a**8/84 - 4*a**7/105 - a**6/15 + 4*a**5/15 + a**4/6 - 4*a**3/3 + 6*a**2. What is b in k(b) = 0?
-1, 1, 2
Let d(x) be the second derivative of x**4/16 + x**3/4 + 3*x**2/8 - 5*x. Factor d(y).
3*(y + 1)**2/4
Let a(p) be the third derivative of -2*p**7/105 + 3*p**6/40 - p**5/10 + p**4/24 + 2*p**2. Factor a(b).
-b*(b - 1)**2*(4*b - 1)
Let w = 45361/60 + -756. Let t(o) be the second derivative of 0*o**5 + 0*o**2 - w*o**6 - 3*o + 0*o**3 + 1/24*o**4 + 0. Factor t(c).
-c**2*(c - 1)*(c + 1)/2
Let p(x) be the first derivative of x**7/210 - x**6/40 - 2*x**2 + 8. Let l(k) be the second derivative of p(k). Factor l(q).
q**3*(q - 3)
Let p(w) = w**3 + 1. Let c(i) = -27*i**3 + 60*i**2 - 21*i. Let h(l) = -2*c(l) - 4*p(l). Factor h(r).
2*(r - 2)*(5*r - 1)**2
Let w(c) be the third derivative of c**6/24 + 5*c**5/12 + 5*c**4/6 - 18*c**2. Factor w(b).
5*b*(b + 1)*(b + 4)
Let u be ((-18)/(-8))/((-2)/(-8)). Solve 5*s**4 - 3*s**2 - u*s**3 + 9*s - s**4 - 7*s**4 + 6 = 0.
-2, -1, 1
Let w(q) = -q**3 + 6*q**2 - 3. Let v be w(6). Let x be (-2)/24 + (-1)/v. Suppose 1/2*h**4 + 1/4*h**3 + 0*h + 0 + x*h**5 + 0*h**2 = 0. What is h?
-1, 0
Let l(b) be the third derivative of -1/40*b**5 + 0 - 5/48*b**4 + 3*b**2 - 1/6*b**3 + 0*b. Suppose l(y) = 0. Calculate y.
-1, -2/3
Let v be (-1)/3*(5 + -3 - 2). Let a(w) be the third derivative of 0*w**3 - 3*w**2 - 1/1155*w**7 + 1/132*w**4 - 1/110*w**5 + 0 + 1/220*w**6 + v*w. Factor a(z).
-2*z*(z - 1)**3/11
Let s(k) be the first derivative of k**3/6 + k**2/4 + 4. Let s(y) = 0. Calculate y.
-1, 0
Let q(n) be the second derivative of n**5/5 + n**4/3 - 10*n**3/3 + 6*n**2 + n - 3. What is c in q(c) = 0?
-3, 1
Let u(w) be the first derivative of w**5/20 - w**4/4 + w**3/2 + w**2/2 + 3. Let q(x) be the second derivative of u(x). Factor q(m).
3*(m - 1)**2
Determine y, given that -8*y**3 - y**2 + 2*y + 13*y**3 - 6*y**3 = 0.
-2, 0, 1
Let n(d) be the third derivative of d**6/810 + d**5/180 + d**4/108 + d**3/6 + 2*d**2. Let k(m) be the first derivative of n(m). Factor k(x).
2*(x + 1)*(2*x + 1)/9
Let d be 1/55*2*20. Let o = d - 5/22. Solve -o*v**2 - 1/2*v + 0 = 0 