). Let -2*j**w - 14/3*j**4 + 10/3*j + 2/3 + 4*j**2 - 4/3*j**3 = 0. Calculate j.
-1, -1/3, 1
Let a(t) be the third derivative of -7*t**6/30 - 13*t**5/15 - 5*t**4/6 + 2*t**3/3 + t**2. Factor a(j).
-4*(j + 1)**2*(7*j - 1)
Let d = 13 + -13. Let a(r) be the first derivative of 2/35*r**5 - 1/7*r**4 + 2/7*r**2 - 2/7*r + d*r**3 - 2. Find h such that a(h) = 0.
-1, 1
What is j in -2*j**2 + j**3 - 9 - 3*j**3 + 9 + 2*j**4 + 2*j = 0?
-1, 0, 1
What is o in -33 + 30*o**3 + 35*o**2 - 5*o**3 + 13 - 40*o = 0?
-2, -2/5, 1
Factor 3/7*n**3 + 0*n + 0 + 9/7*n**2.
3*n**2*(n + 3)/7
Suppose -11 = -4*c + 3*j + 1, -4*c = 3*j - 36. Factor -2*n**5 - 3*n**3 + 5*n**5 - c*n**4 + 4*n**4 + 2*n**2.
n**2*(n - 1)*(n + 1)*(3*n - 2)
Factor 4*f**2 - 14*f - 47*f + 37*f + 20.
4*(f - 5)*(f - 1)
Let j be (-14)/(-4)*8/14. Determine b so that 0*b**2 - 6 + j*b**2 + 1 + 4*b - 1 = 0.
-3, 1
Suppose 21*l = 20*l + 5. Let g(s) be the third derivative of -3*s**2 - 3/20*s**6 + 3/4*s**4 + 1/15*s**l + 0*s - 2/3*s**3 + 0. Factor g(n).
-2*(n - 1)*(n + 1)*(9*n - 2)
Let y(u) be the second derivative of -u**5/240 - u**4/96 + u**3/12 + 3*u**2/2 + 9*u. Let w(f) be the first derivative of y(f). Suppose w(b) = 0. Calculate b.
-2, 1
Let j be (-4)/3*45/(-390). Factor 0 + 2/13*f**3 + 2/13*f**2 - 2/13*f - j*f**4.
-2*f*(f - 1)**2*(f + 1)/13
Let j be ((-48)/20)/(6/(-20)). Suppose 2*s**4 - j*s**3 - 8 - 3*s + 5*s**2 + s**2 + 6*s + 5*s = 0. What is s?
-1, 1, 2
Let t be 1/(-5 - 33/(-6)). Let k(q) be the second derivative of -2/33*q**3 + 5/66*q**4 + t*q + 0*q**2 + 0. What is c in k(c) = 0?
0, 2/5
Let c(m) = -2*m**4 - 6*m**3 + 8*m**2. Let g be (-2)/4*2 - 12. Let x(a) = -4*a**4 - 13*a**3 + 17*a**2. Let f = 15 + -9. Let t(q) = f*x(q) + g*c(q). Factor t(p).
2*p**2*(p - 1)*(p + 1)
Let l(b) be the first derivative of 3*b**4 + 0*b**2 + 1/2*b**6 + 0*b + 0*b**3 + 12/5*b**5 + 1. Factor l(u).
3*u**3*(u + 2)**2
Find o, given that o**2 + 8*o**2 + 43*o**2 + 8 - 32*o - 2*o**2 - 2*o**5 + 14*o**4 - 38*o**3 = 0.
1, 2
Let f be 4/(-18) - 455/(-63). Factor -15 + 10*p**2 + 3 - f*p**2.
3*(p - 2)*(p + 2)
Let d(h) be the third derivative of -h**5/270 - h**4/36 - 2*h**3/27 + 5*h**2. Suppose d(p) = 0. What is p?
-2, -1
Determine z so that 22/3*z**2 - 4*z + 0 - 4*z**3 + 2/3*z**4 = 0.
0, 1, 2, 3
Let q(k) be the second derivative of 0 + 1/24*k**3 + 0*k**2 - 1/48*k**4 - 5*k. Suppose q(c) = 0. Calculate c.
0, 1
Let x(v) be the third derivative of v**7/1680 - v**6/1440 - v**5/240 + v**4/96 + v**3/3 + v**2. Let k(q) be the first derivative of x(q). Solve k(s) = 0.
-1, 1/2, 1
Let a(i) = i**2 - 11*i + 15. Let s be a(11). Find n such that -2*n**5 + 15 + 3*n**5 - s - n**3 = 0.
-1, 0, 1
Let o be (-4)/20 - 138/10. Let b be ((-1)/o)/((-5)/(-40)). Solve b*s**2 + 0 - 2/7*s = 0.
0, 1/2
Let b = 8 + -7. Let t(r) be the first derivative of 0*r**3 + 0*r - r**6 + 0*r**2 + 4/5*r**5 + 1/2*r**4 - b. Let t(n) = 0. Calculate n.
-1/3, 0, 1
Let s(l) = 2*l + 17. Let i be s(-6). Let k(c) be the first derivative of 1 - 1/8*c**2 - 3/16*c**4 + 0*c + 1/20*c**i + 1/4*c**3. Factor k(w).
w*(w - 1)**3/4
Let r(c) be the second derivative of c**6/90 + c**5/30 + c**4/36 - 5*c. Factor r(l).
l**2*(l + 1)**2/3
Suppose 5*f = -1 + 11. Determine w, given that -2/3 - 1/3*w**f + w = 0.
1, 2
Let g(z) be the third derivative of -z**9/252 - z**8/112 - z**7/280 - z**3/3 + 3*z**2. Let y(m) be the first derivative of g(m). Solve y(s) = 0 for s.
-1, -1/4, 0
Let s be 186/1716 + (-2)/13. Let i = s - -13/44. Factor -1/4*z + 0*z**2 + 0*z**4 - i*z**5 + 0 + 1/2*z**3.
-z*(z - 1)**2*(z + 1)**2/4
Let y(m) = -7*m**3 - 3*m**2 - 3*m - 2. Let d(l) = 4*l**3 + 2*l**2 + 2*l + 1. Suppose -f = -3*s - 1, 1 + 16 = -3*f - s. Let g(h) = f*d(h) - 3*y(h). Factor g(c).
(c - 1)**2*(c + 1)
Let r = -19/7 - -71/21. Solve -r*x**2 + 2/3*x + 0 = 0.
0, 1
Let o(b) = b**5 + 4*b**4 - b**3 + 2*b - 2. Let v(y) = -5*y**4 - y**5 + 36 - 4*y**3 + 6*y**3 - 33 - 3*y. Let z(i) = 3*o(i) + 2*v(i). Solve z(q) = 0 for q.
-1, 0
Suppose 0 = -5*z - 5*g - 30, -z = -0*z - 2*g. Let p = 8 + z. Factor -1 - 4 + j**2 - j**p + 5.
-j**2*(j - 1)*(j + 1)
Factor 9/7 + 6/7*u + 1/7*u**2.
(u + 3)**2/7
Determine k so that 8 + 72*k**2 - 34*k**4 - 16*k**4 + 52*k - 16*k**3 - 5*k**4 - 25*k**4 - 36*k**5 = 0.
-1, -2/9, 1
Let u(h) = 11*h**3 + 8*h**2 - 3*h. Let b(a) = 6*a**3 + 4*a**2 - 2*a. Let d(o) = 7*b(o) - 4*u(o). Suppose d(r) = 0. Calculate r.
-1, 0
Let v(z) be the second derivative of z**6/10 + 3*z**5/20 - 3*z**4/4 - 5*z**3/2 - 3*z**2 + 5*z. Let v(h) = 0. What is h?
-1, 2
Suppose -8 = -2*m + m. Let p(q) = -q + 10. Let y be p(m). Let 0*z**3 + 4*z**3 - z**3 + y*z + 5*z**2 = 0. Calculate z.
-1, -2/3, 0
Let d = 1 - -4. Suppose -3*v = -d*v. Factor v*k - k + 2*k**2 - k.
2*k*(k - 1)
Let d = 120 - 2399/20. Let l(r) be the first derivative of -1/15*r**3 + 1 - 1/10*r**2 + 1/25*r**5 + 0*r + d*r**4. Factor l(y).
y*(y - 1)*(y + 1)**2/5
Let z(n) be the third derivative of -n**5/140 - 5*n**4/56 - 2*n**3/7 + 6*n**2. Suppose z(w) = 0. What is w?
-4, -1
Suppose -2*c + 3*c + 6 = 4*g, 6 = 2*c - 2*g. Let x = -6 + c. Factor 2/7*v + 2/7*v**2 + x.
2*v*(v + 1)/7
Let q(n) be the third derivative of 0 - 1/8*n**4 - 1/70*n**7 - 5*n**2 - 3/20*n**5 + 0*n - 3/40*n**6 + 0*n**3. Factor q(g).
-3*g*(g + 1)**3
Let k(x) be the third derivative of x**6/280 - 13*x**5/140 + 6*x**4/7 - 18*x**3/7 - 2*x**2 + 2*x. Factor k(a).
3*(a - 6)**2*(a - 1)/7
Let b(a) = 4*a**4 - 4*a + 4. Let m(g) = -g**3 + g**2 + 1. Let w(h) = b(h) - 4*m(h). Solve w(v) = 0.
-1, 0, 1
Let s(p) be the first derivative of -1/6*p**3 + 0*p - 1/20*p**5 + 0*p**2 - 5 + 3/16*p**4. Factor s(q).
-q**2*(q - 2)*(q - 1)/4
Suppose -d - 4*d + 40 = 2*o, 4*o = -4*d + 56. Suppose o = 4*j + j. Solve 2*r - 3*r + r**2 + 2*r**j - 2*r**2 = 0.
0, 1
Let j = -1/68 + 13/17. Determine p, given that 1/4*p**4 + 0 - j*p**3 + 1/2*p**2 + 0*p = 0.
0, 1, 2
Let l = 23/102 - 1/17. Let y(r) be the second derivative of -2*r + 0 - 1/48*r**4 + l*r**3 - 1/2*r**2. Factor y(m).
-(m - 2)**2/4
Let i(g) be the first derivative of g**7/4620 - g**6/990 + 4*g**3/3 + 1. Let b(k) be the third derivative of i(k). Factor b(y).
2*y**2*(y - 2)/11
Let i(g) = 2*g**3 - 3*g**2 - g + 2. Let m be i(2). Let f = 1 + m. Suppose -26*z**4 - 134/3*z**3 - 6*z**f - 38*z**2 - 8/3 - 16*z = 0. What is z?
-1, -2/3
Suppose -2*v = 3*v - 15. Factor 2*u**v + 3*u + 2*u**2 - 5*u**3 - 2*u + 4*u**3.
u*(u + 1)**2
Let y(x) be the third derivative of -x**6/180 + x**5/30 - x**4/12 + x**3/9 + 9*x**2. Factor y(d).
-2*(d - 1)**3/3
Let k(s) = -4*s**2 - 10*s. Let q(u) = 4*u**2 + 9*u. Let l(w) = 3*k(w) + 2*q(w). Determine c, given that l(c) = 0.
-3, 0
Suppose -2*i + 9 + 10 = -3*n, -4*i - 2 = 2*n. Let k = 5 - i. Find w such that -5*w**2 - 3*w**2 - k*w**3 + 0*w - 4*w = 0.
-2, -2/3, 0
Let k(l) be the second derivative of -1/5*l**2 - 5*l + 2/15*l**3 + 0 - 1/30*l**4. Factor k(c).
-2*(c - 1)**2/5
Let u(w) = -2 + 10*w**3 - 9*w**3 + w + w**2 - 2*w**2. Let g be u(2). Determine i, given that i**3 - 8*i - 2*i**3 - 4 - i**2 - g*i**2 = 0.
-2, -1
Let w(s) be the first derivative of -3*s**5/20 - 9*s**4/16 - s**3/2 + 31. Let w(i) = 0. What is i?
-2, -1, 0
Let g = 6 + -6. Let v(h) be the second derivative of -h + g + 5/36*h**4 - 4/9*h**3 + 2/3*h**2 - 1/60*h**5. Find p, given that v(p) = 0.
1, 2
Let v(b) be the third derivative of -b**6/24 - b**5/12 + b**4/12 + 2*b**3/3 - 5*b**2. Let h(c) = -c**3 - c**2 + 1. Let o(g) = 4*h(g) - v(g). Factor o(r).
r*(r - 1)*(r + 2)
Let q be -4 + 1 - (-36)/3. Let s(f) = f**3 + 8*f**2 - f + 1. Let y(r) = 2*r**2. Let z(g) = q*y(g) - 2*s(g). Factor z(p).
-2*(p - 1)**2*(p + 1)
Let k be (4 - (5 - 1)) + 2. Factor -3/4*h**k - 3/4 - 3/2*h.
-3*(h + 1)**2/4
Factor 0 - 4/9*c**3 + 2/9*c + 2/9*c**5 + 0*c**4 + 0*c**2.
2*c*(c - 1)**2*(c + 1)**2/9
Suppose -2*d - 4*y - 7 = 5, -4*y - 10 = 3*d. Factor -6/5*i**d + 2/5*i**3 - 4/5 - 2*i + 2/5*i**4.
2*(i - 2)*(i + 1)**3/5
Suppose 5*h = -4*s + 53, 0 = -2*h - 3*h - s + 47. Factor -h*a**2 + 3*a**2 + 3*a**2.
-3*a**2
Let o be (-16)/(-48) - 0*(-3)/(-9). Factor -1/3*b + 2/3 - o*b**2.
-(b - 1)*(b + 2)/3
Solve 0 - 2/3*g**3 + 0*g + 0*g**2 = 0.
0
Let w(s) = s**2 - 3*s - 2. Let k(u) = u**3 - 2*u**2 + 9*u + 6. Let t(c) = -4*k(c) - 14*w(c). Determine n so that t(n) = 0.
-2, -1/2, 1
Let u(g) be the first derivative of -g**6/720 + g**4/48 + g**3/18 - 3*g**2/2 - 3. Let f(a) be the second derivative of u(