erivative of 1/720*j**6 - 1/144*j**4 + 0 + 0*j**3 - f*j**2 + 0*j + 0*j**5. Factor n(o).
o*(o - 1)*(o + 1)/6
Factor -1/3*r**2 - 1 - 4/3*r.
-(r + 1)*(r + 3)/3
Determine x, given that 7*x**4 - 37/3*x**3 + 13/3*x + 7/3*x**2 - 4/3 = 0.
-4/7, 1/3, 1
Let q(x) be the second derivative of x**7/168 - x**6/60 + x**4/24 - x**3/24 - 8*x. Factor q(d).
d*(d - 1)**3*(d + 1)/4
Suppose 0 = -94*g + 88*g + 30. Let k be (-4)/(-6)*3 + 1. Factor 9/2*z + 3/2*z**k - g*z**2 - 1.
(z - 2)*(z - 1)*(3*z - 1)/2
Let g(v) be the second derivative of 2*v - 4/5*v**3 - 1/50*v**5 - 8/5*v**2 - 1/5*v**4 + 0. Factor g(o).
-2*(o + 2)**3/5
Let y(h) = 1. Let l(g) = -g**2 + g + 1. Let j(i) = -5*l(i) - 5*y(i). Find a, given that j(a) = 0.
-1, 2
Let w(m) be the second derivative of -m**4/48 - m**3/12 + 3*m**2/8 - 22*m. Solve w(d) = 0 for d.
-3, 1
Let i(q) = -15*q**2 - 120*q - 105. Let o(m) = -2*m**2 - 15*m - 13. Let v(j) = -3*i(j) + 25*o(j). Find p, given that v(p) = 0.
-2, -1
Let i(w) = -2*w - 2. Let c be i(-2). Let f be (-25)/(-210)*15 + (-9)/6. Factor 0 - 4/7*p + f*p**4 + 10/7*p**c - 8/7*p**3.
2*p*(p - 2)*(p - 1)**2/7
Let d = 18 - 16. Factor -5*x**3 + 3 - 5*x**d + 5 + x**3 + 21*x**2 - 20*x.
-4*(x - 2)*(x - 1)**2
Let t(h) = -4*h**3 - 2*h**2 - h. Let r be t(-1). Solve 2 + 3*s**3 + 6*s**3 - 12*s**3 - s**4 + r*s - s**2 + 0*s**4 = 0 for s.
-2, -1, 1
Let u(h) = -h**5 - 4*h**4 - h**3 - 6*h**2 + 6*h. Let a(p) = 2*p**5 + 9*p**4 + 2*p**3 + 13*p**2 - 13*p. Let v(n) = 6*a(n) + 13*u(n). Factor v(w).
-w**3*(w - 1)**2
Suppose 0 = -5*x + 7 + 8. Factor -x*a + 5*a + a**2 + a**2.
2*a*(a + 1)
Let h(u) be the first derivative of 4 - 1/2*u**2 + 0*u**3 + 1/4*u**4 + 0*u. Factor h(p).
p*(p - 1)*(p + 1)
Let l(i) be the second derivative of 3*i**5/10 - 3*i**4/4 - 3*i**3/2 + 3*i**2 + 5*i. Find p such that l(p) = 0.
-1, 1/2, 2
Solve m**2 - 3/2 + 1/2*m = 0.
-3/2, 1
Solve 1/4*j**3 + 0 - 1/4*j + 1/4*j**2 - 1/4*j**4 = 0 for j.
-1, 0, 1
Let -3/2*g**2 - 3/2 + 3*g = 0. What is g?
1
Let b(p) be the second derivative of -p**7/70 + p**6/25 + 3*p**5/50 - 2*p**4/5 + 7*p**3/10 - 3*p**2/5 + 10*p. Factor b(z).
-3*(z - 1)**4*(z + 2)/5
Suppose -3*g - 3 = 3*u - 0*u, u = 2*g - 1. Let l(s) be the first derivative of g*s**2 + 2/27*s**3 + 2 - 2/9*s. Factor l(k).
2*(k - 1)*(k + 1)/9
Factor 0 + 2/5*q**3 - 2/5*q**2 + 0*q.
2*q**2*(q - 1)/5
Let n(b) be the second derivative of -b**6/10 - b**5/4 - b**4/12 + b**3/6 - 5*b. Factor n(r).
-r*(r + 1)**2*(3*r - 1)
Determine u, given that -14/3*u**3 + 4/3*u**5 + 7/3*u**4 - 8/3*u + 4/3 - 29/3*u**2 = 0.
-2, -1, 1/4, 2
Let n(k) be the third derivative of -k**5/150 + k**4/10 - 3*k**3/5 + 11*k**2. What is h in n(h) = 0?
3
Let z = -13 - -53/4. Let q(b) be the second derivative of 0 - b - 1/6*b**3 + z*b**2 + 1/24*b**4. Find x such that q(x) = 0.
1
Factor -2/7*u + 2/7*u**2 + 0.
2*u*(u - 1)/7
Let a(r) be the second derivative of r**7/21 - r**6/5 - 9*r**5/10 - 5*r**4/6 - 52*r. Factor a(n).
2*n**2*(n - 5)*(n + 1)**2
Let g(q) be the first derivative of -q**6/21 - 6*q**5/35 - 3*q**4/14 - 2*q**3/21 + 7. Solve g(b) = 0.
-1, 0
Let y be (8/5)/((-2)/(-15)). Suppose -k**2 - y*k + 3*k**2 + 12*k = 0. What is k?
0
Let x = 14 - 11. Factor 1/2*h**x + 0 + 1/4*h**4 + 0*h + 0*h**2.
h**3*(h + 2)/4
Let g(j) be the first derivative of j**6/48 - j**4/16 + j**2/16 + 3. What is r in g(r) = 0?
-1, 0, 1
Let v(d) = -7*d**2 - 2*d + 1. Let j(g) = -15*g**2 - 3*g + 3. Let p(z) = -4*j(z) + 9*v(z). Factor p(q).
-3*(q + 1)**2
Let n(d) be the second derivative of -d**6/180 + d**4/12 + d**3/6 + d. Let l(i) be the second derivative of n(i). Suppose l(w) = 0. Calculate w.
-1, 1
Let b(k) = k**2 + 3*k + 2. Let t be b(-2). Let x be (-3)/(3*1/(-3)). Factor 0*z - z**2 + z**3 + z**4 - z + t*z**x.
z*(z - 1)*(z + 1)**2
Factor 0*g - 2/5*g**2 + 0 - 7/5*g**3.
-g**2*(7*g + 2)/5
Let a be (-3)/2*-2 - -1. Suppose 2*s + s = 5*w + 40, -3*s + w = -20. What is u in -s*u**3 - u**3 - 2*u**a - 3*u**2 - u**4 + 0*u**2 = 0?
-1, 0
Suppose -m - 12 = -3*m. Let s be 0 + ((-4)/m - -1). Find k, given that -1/3*k + s*k**2 - 2/3 = 0.
-1, 2
Let r(z) = -2*z**4 + 6*z**3 + 3*z**2 + z - 3. Let x = -20 + 13. Let d(k) = 5*k**4 - 13*k**3 - 6*k**2 - 2*k + 7. Let m(w) = x*r(w) - 3*d(w). Factor m(l).
-l*(l + 1)**3
Let s be 15/2*(-4)/(-6). Suppose s*o - 6*o = -5. What is w in w**2 - 1/2*w**o - 1/2*w + w**3 - 1/2 - 1/2*w**4 = 0?
-1, 1
Factor -10*h - 5 + 17 + 9*h**2 - 14*h.
3*(h - 2)*(3*h - 2)
Let d(o) = 11*o**3 + 11*o**2 - 9*o + 9. Suppose 6 = -j + n, -8*n = 2*j - 3*n - 2. Let l(z) = 5*z**3 + 5*z**2 - 4*z + 4. Let g(f) = j*d(f) + 9*l(f). Factor g(c).
c**2*(c + 1)
Let y be 4/60*-1*-3. Let r(q) be the first derivative of 0*q + 1 - 1/3*q**3 + 0*q**2 - y*q**5 + 1/2*q**4. Factor r(f).
-f**2*(f - 1)**2
Let 10/13*s**3 + 8/13*s - 32/13*s**2 + 14/13*s**4 + 0 = 0. Calculate s.
-2, 0, 2/7, 1
Suppose 3*y**3 + 3*y**4 - y**2 - 7*y**4 + y**5 + y**4 = 0. Calculate y.
0, 1
Factor 5/6*d**2 + 1/6*d**3 + 7/6*d + 1/2.
(d + 1)**2*(d + 3)/6
Factor -16/7 - 4/7*n**2 + 16/7*n.
-4*(n - 2)**2/7
Let -6*b - b**2 + 2*b**2 + 3 - 2*b**2 - 8 = 0. What is b?
-5, -1
Let f(w) = w**4 - w**3 - w + 1. Let y(h) = -2*h**4 + 17*h**3 - 39*h**2 + 35*h - 11. Let q(u) = f(u) - y(u). Let q(b) = 0. What is b?
1, 2
Suppose 9*l - 7*l = 4. Factor -5/3*n - 1/3*n**3 - 4/3*n**l - 2/3.
-(n + 1)**2*(n + 2)/3
Suppose 0 = -3*k - 2*j - 2*j + 6, -4*j = -k + 2. Let 0 + 2/5*w + 4/5*w**k + 2/5*w**3 = 0. Calculate w.
-1, 0
Let a(b) = 2*b**2 - 31*b + 20. Let r be a(15). Factor 1/2*h**r + 1/2*h**2 + 3/2*h**3 + 0 + 0*h + 3/2*h**4.
h**2*(h + 1)**3/2
Let k be (-3 - 294/(-99))/(-1). Let y(g) be the second derivative of 2*g + 0*g**2 + 1/66*g**4 + 0 - k*g**3. Factor y(s).
2*s*(s - 1)/11
Let z(n) be the first derivative of -n**4/10 + 2*n**3/5 - 8*n/5 - 4. Factor z(a).
-2*(a - 2)**2*(a + 1)/5
Let s(t) = 4*t. Let d be s(4). Let b = d + -46/3. Factor 2/3*a**2 - 2/3 + 2/3*a**3 - b*a.
2*(a - 1)*(a + 1)**2/3
Let d(o) = o**3 - o - 6. Let q be d(2). Solve l**2 - l**3 - 1/3*l + q + 1/3*l**4 = 0 for l.
0, 1
Solve -2*w**3 - w**4 + w**5 + w - 2 + 11*w**2 - w**4 - 7*w**2 = 0 for w.
-1, 1, 2
Factor -8*v**3 - 8*v**3 + 11*v**3.
-5*v**3
Let b = -56 + 113/2. Factor -b*p - 1/4*p**3 + 0 - 3/4*p**2.
-p*(p + 1)*(p + 2)/4
Let o = -13 - -16. Factor -1 - 277*v + 277*v + o*v**2 + 2*v**3.
(v + 1)**2*(2*v - 1)
Let t(g) be the third derivative of g**6/840 + g**5/210 - g**4/168 - g**3/21 + 40*g**2. Factor t(l).
(l - 1)*(l + 1)*(l + 2)/7
Let y(o) = -9*o**3 + 16*o**2 - 25*o + 8. Let j(v) = 5*v**3 - 8*v**2 + 13*v - 4. Let w(l) = 10*j(l) + 6*y(l). Let w(c) = 0. Calculate c.
1, 2
Let v(d) be the second derivative of -d**6/180 - d**5/60 + d**3/6 + 5*d. Let q(y) be the second derivative of v(y). Find h such that q(h) = 0.
-1, 0
Let j = -9/493 - -3907/105995. Let t = 348/215 - j. Determine b so that t*b + 2/5 + 4/5*b**3 + 2*b**2 = 0.
-1, -1/2
Let l(i) = -3*i**3 + i - 22*i**2 - 6 - 2 - 7*i**3 - 13*i. Let t(w) = -w**2 + 2 + 2*w - 3 - 3*w. Let u(h) = l(h) - 8*t(h). Suppose u(m) = 0. Calculate m.
-1, -2/5, 0
Factor 8/5*o**2 - 4/5*o - 4/5*o**3 + 0.
-4*o*(o - 1)**2/5
Let z(d) be the first derivative of 2*d**3/9 - d**2 + 4*d/3 - 9. Let z(y) = 0. What is y?
1, 2
Let z(l) be the first derivative of -10*l**6 + 76*l**5 + 765*l**4/4 + 290*l**3/3 - 75*l**2/2 - 40*l - 24. Determine d, given that z(d) = 0.
-1, -1/2, 1/3, 8
Let m(y) be the second derivative of -y**6/45 + y**5/6 - 4*y**4/9 + 4*y**3/9 - 3*y. Factor m(p).
-2*p*(p - 2)**2*(p - 1)/3
Let c(m) = -m - 1. Let a(f) = 2*f + 2. Let d(v) = -3*a(v) - 5*c(v). Let k be d(-3). Find r such that r**k + 0*r**3 - r**3 - 1 + 2*r**2 - 3 = 0.
-1, 2
Let t(f) = f**3 - 5*f**2 + 2*f + 1. Let z be t(5). Suppose u - 6*d + d - 23 = 0, d = -5*u + z. Determine h, given that -h + 4*h - 2*h - 2*h + h**u = 0.
-1, 0, 1
Let k be ((-4)/70)/(40/(-50)). Let y(i) be the first derivative of -2/21*i**3 - 3 - 1/7*i**2 + 2/35*i**5 + 0*i + k*i**4. Factor y(f).
2*f*(f - 1)*(f + 1)**2/7
Let h be 4 - 4 - 3/(-6)*21. Find q such that -10*q**2 - 4*q + h*q**4 - 1/2 - 5*q**3 + 9*q**5 = 0.
-1, -1/2, -1/3, 1
Suppose 0 = -13*n + 2 - 2. Factor -2/5*o**3 + 2/5*o + n + 0*o**2.
-2*o*(o - 1)*(o + 1)/5
Solve -2*d - 4*d**3 + 2*d + 2*d + 2*d**3 = 0 for d.
-1, 0, 1
Factor -2 + 8 - 9*j - 4*j**2 + 2*j**2 + 5*j**2.
3*(j - 2)*(j - 1)
Let c be 12/(-20)*(-3)/36. Let o(u) be the third derivative of 0 + 0*u + c*u**4 +