**4 - 5*h - 1/15*h**6. Factor j(p).
-2*p**2*(p - 1)**2
Let q(x) = -9*x**2 - 3*x - 5. Let j(v) = 5*v**2 + 2*v + 3. Let w(a) = -11*j(a) - 6*q(a). Let w(o) = 0. Calculate o.
-3, -1
Let b(d) be the second derivative of -d**6/60 + d**5/8 - 3*d**4/8 + 7*d**3/12 - d**2/2 + 9*d. Factor b(c).
-(c - 2)*(c - 1)**3/2
Let w(h) be the third derivative of -h**6/60 + 7*h**4/12 + 2*h**3 - 3*h**2 + 5*h. Suppose w(o) = 0. Calculate o.
-2, -1, 3
Let b(t) be the third derivative of -t**6/240 + t**4/48 + 9*t**2. Determine o so that b(o) = 0.
-1, 0, 1
Let p(y) be the second derivative of y**7/21 - 2*y**6/15 - 3*y**5/10 + 2*y**4/3 + 4*y**3/3 - 20*y. Factor p(n).
2*n*(n - 2)**2*(n + 1)**2
Factor 0*i + 2/3*i**2 + 8/9*i**3 + 2/9*i**4 + 0.
2*i**2*(i + 1)*(i + 3)/9
Let v(b) be the third derivative of -b**8/1260 + b**7/315 - b**6/900 - b**5/225 - 14*b**2. Find k such that v(k) = 0.
-1/2, 0, 1, 2
Let t = -99 - -701/7. Factor 2/7*g**2 - t*g + 8/7.
2*(g - 2)**2/7
Let x(g) be the second derivative of -g**5/5 - 2*g**4/3 + 2*g**3/3 + 4*g**2 + 17*g. Suppose x(t) = 0. What is t?
-2, -1, 1
Find q, given that q + 4*q**2 - 5*q**2 + 0 + 2 = 0.
-1, 2
Let g(c) be the second derivative of c**4/144 + 5*c**3/36 - 2*c - 8. Factor g(v).
v*(v + 10)/12
Suppose 5 + 15*f**3 - 15*f**4 + 10*f**2 + 3*f**3 - 15*f - 8*f**3 + 5*f**5 = 0. Calculate f.
-1, 1
Let n(b) = -b**2 - 5*b + 2. Let m be n(-5). Let i = 4 - m. Factor -2/3*v + 2/3*v**3 - 2/9*v**i + 2/9.
2*(v - 1)*(v + 1)*(3*v - 1)/9
Let a(n) be the second derivative of n**7/56 - n**6/40 - 3*n**5/80 + n**4/16 - 8*n. Factor a(p).
3*p**2*(p - 1)**2*(p + 1)/4
Suppose 2 = o + 3*o - 2*h, -3*o - 3*h + 24 = 0. Let q(g) = 2*g**2 - 6*g - 5. Let s(i) = i**2 - 5*i - 4. Let y(m) = o*s(m) - 2*q(m). Factor y(b).
-(b + 1)*(b + 2)
Let t(v) be the third derivative of 0*v**5 - 1/420*v**7 + 0 - v**2 + 1/240*v**6 + 0*v + 0*v**4 + 0*v**3. Factor t(l).
-l**3*(l - 1)/2
Suppose -3*m + m = 3*t - 6, -m = 0. Let -2/5*v - 2/5*v**t + 4/5 = 0. What is v?
-2, 1
Let h(w) = -2*w**5 - 6*w**4 + 2*w**3 + 2*w**2 - 2*w + 2. Let t(d) = -d**4 + d**3 + d**2 - d + 1. Let m(r) = -h(r) + 2*t(r). Factor m(j).
2*j**4*(j + 2)
Suppose -4*i = -7 - 13. Let b(c) be the third derivative of 0 + 0*c + 1/150*c**6 + c**2 - 1/525*c**7 + 1/15*c**3 + 0*c**i - 1/30*c**4. Factor b(w).
-2*(w - 1)**3*(w + 1)/5
Let w = 24 - 20. Let u(q) be the second derivative of 0*q**3 - 1/20*q**5 - 1/6*q**w + 0*q**2 + 0 - 2*q. Let u(p) = 0. Calculate p.
-2, 0
Let d(v) be the second derivative of v**4/42 + 2*v**3/21 + v**2/7 + 5*v. Solve d(k) = 0 for k.
-1
Suppose 0 = 2*b + 4*k - 34, -1 + 3 = k. Suppose -5*n + b = 3*u, 3*n + n = 4*u + 4. Factor 10*m**2 - n*m**4 + 4*m**4 + 6*m - 2*m**3 + 10*m**3 - 2*m.
2*m*(m + 1)**2*(m + 2)
Let g = -4 - -3. Let w be 0/4*g/2. Solve 1/2*h**2 - 1/2 + w*h = 0 for h.
-1, 1
Let u(n) be the first derivative of -n**6/9 - 28*n**5/45 - 23*n**4/18 - 32*n**3/27 - 4*n**2/9 + 3. Let u(j) = 0. What is j?
-2, -1, -2/3, 0
Factor 4/3*r**3 - 8*r**2 - 32/3 + 16*r.
4*(r - 2)**3/3
Let w(x) be the third derivative of x**6/780 + x**5/130 + 6*x**2. Factor w(h).
2*h**2*(h + 3)/13
Suppose -2/11*u**4 + 8/11*u**2 - 8/11*u + 0 + 2/11*u**3 = 0. What is u?
-2, 0, 1, 2
Let i(w) be the first derivative of -4/5*w - 3 - 2/15*w**3 + 3/5*w**2. Factor i(j).
-2*(j - 2)*(j - 1)/5
Factor -1/2*z + 1/2*z**3 + z**2 - 1.
(z - 1)*(z + 1)*(z + 2)/2
Let 0 + 0*m + 6/5*m**2 - 21/5*m**3 = 0. Calculate m.
0, 2/7
Let n(w) be the second derivative of -4*w**2 + 0 + 5*w + 5/6*w**4 + 8/3*w**3. Factor n(v).
2*(v + 2)*(5*v - 2)
Let v(i) be the third derivative of i**6/660 - i**5/330 - i**4/132 + i**3/33 + 5*i**2. Let v(a) = 0. Calculate a.
-1, 1
Let d(i) be the second derivative of -1/12*i**4 + 1/60*i**5 - 7*i + 0 + 0*i**3 + 2/3*i**2. Solve d(g) = 0 for g.
-1, 2
Let d = -1 - -6. Suppose 48*a**d - 179*a**3 + 4 + 4*a + 44*a**4 + 4*a - 48*a**2 + 123*a**3 = 0. Calculate a.
-1, -1/4, 1/3, 1
Suppose 2*j + 0 + 1/2*j**2 = 0. What is j?
-4, 0
Determine g so that -6*g**2 + 0*g - 9*g**5 + 4*g**4 - 3*g + 18*g**3 - 6*g + 3 - g**4 = 0.
-1, 1/3, 1
Let j(c) be the third derivative of -9*c**6/80 + 7*c**5/20 + 17*c**4/36 + 2*c**3/9 + 26*c**2. Factor j(b).
-(b - 2)*(9*b + 2)**2/6
Suppose -4*u**2 + 8/3*u**3 - 32/3*u - 4 = 0. Calculate u.
-1, -1/2, 3
Let i = 47126/43219 + 2/3929. Factor 18/11*u**3 + i*u**2 + 8/11*u**4 + 0 + 2/11*u.
2*u*(u + 1)**2*(4*u + 1)/11
Let u(l) be the third derivative of l**6/30 - 6*l**2. Find r such that u(r) = 0.
0
Let h = 20/9 + 23/18. Let b = h + -3. Factor -w**3 - w**2 + b*w + 1/2 + 1/2*w**5 + 1/2*w**4.
(w - 1)**2*(w + 1)**3/2
Let b(f) be the second derivative of -f**5/70 + f**3/21 - 3*f. Let b(i) = 0. What is i?
-1, 0, 1
Let h(m) be the third derivative of 0*m + 0 + 1/78*m**4 - 1/390*m**5 + 2*m**2 - 1/39*m**3. Factor h(x).
-2*(x - 1)**2/13
Factor -2/3*o**2 - 8/3 - 8/3*o.
-2*(o + 2)**2/3
Let t = 302569/168 - 1801. Let n(l) be the third derivative of -t*l**8 - 2*l**2 + 1/12*l**4 - 1/15*l**5 + 2/105*l**7 + 0 + 0*l + 0*l**3 + 0*l**6. Factor n(w).
-2*w*(w - 1)**3*(w + 1)
Let r(s) = 4*s**2 - 13*s - 9. Let l(v) = v**2 - 3*v - 2. Let j(h) = 9*l(h) - 2*r(h). Suppose j(p) = 0. Calculate p.
0, 1
Let r be (((-6)/(-48))/((-9)/(-24)))/1. Find l, given that r*l**3 - 4/3*l**2 + 5/3*l - 2/3 = 0.
1, 2
Suppose -h + 2*h + f = 3, 2*f = 4*h - 6. Let y be ((-16)/(-60))/((-4)/(-6)). Factor -y*u**3 + 2/5 + 2/5*u - 2/5*u**h.
-2*(u - 1)*(u + 1)**2/5
Let s = 55 - 271/5. Factor -2/5 - 2/5*t**2 + s*t.
-2*(t - 1)**2/5
Let v(f) be the second derivative of f**7/840 + f**6/480 - f**5/240 - f**4/96 - f**2 + 2*f. Let a(o) be the first derivative of v(o). Let a(w) = 0. What is w?
-1, 0, 1
Let i(n) be the third derivative of -n**6/60 - 3*n**5/10 + n**2 + 31*n. Suppose i(c) = 0. What is c?
-9, 0
Let n(u) = -4*u**4 + 3*u**3 + 6*u**2 + 2*u. Let o(c) = c**4 - c**3 - c**2. Let s(p) = -n(p) - 3*o(p). Factor s(w).
w*(w - 2)*(w + 1)**2
Factor 3/10*t + 1/10*t**2 + 1/5.
(t + 1)*(t + 2)/10
Let b(s) be the third derivative of s**7/525 - s**5/150 + 27*s**2. Factor b(u).
2*u**2*(u - 1)*(u + 1)/5
Let h(k) = k**4 - k + 1. Suppose 0*f + f - 1 = 0. Let x(g) = -2*g**5 - 8*g**4 + 4*g**3 + 6*g - 8. Let y(m) = f*x(m) + 8*h(m). Determine v, given that y(v) = 0.
-1, 0, 1
Let z(n) be the third derivative of 0*n + 0 + 0*n**3 + 2/35*n**7 + 7/40*n**6 - 1/8*n**4 + 2*n**2 + 1/10*n**5. Factor z(h).
3*h*(h + 1)**2*(4*h - 1)
Suppose 0 = 4*i - 9*i + 10. Solve -4*g - 2*g**i - 8/3 - 1/3*g**3 = 0.
-2
Let o(z) be the first derivative of -21/20*z**4 + 0*z + 4 - 3/5*z**2 - 9/5*z**3. Factor o(f).
-3*f*(f + 1)*(7*f + 2)/5
Let y(h) = h**3 - 5*h**2 + 9*h - 3. Let i be y(2). Factor 2/9*b - 2/9*b**i - 2/9*b**2 + 0 + 2/9*b**4.
2*b*(b - 1)**2*(b + 1)/9
Suppose -4*n - 3*u = -9, 5*u = -3*n + n + 1. Solve -2/3*m**4 + 2/9*m + 0 + 2/3*m**2 - 2/9*m**n = 0.
-1, -1/3, 0, 1
Let o(u) = u**3 + 2*u**2 - 9*u + 2. Let b be o(-4). Let j(n) be the first derivative of 0*n**5 + 1 - 1/3*n**b + 0*n + 0*n**3 + n**4 - n**2. Factor j(m).
-2*m*(m - 1)**2*(m + 1)**2
Let p be (-8)/4*(-24)/21. Let -32/7 - 2/7*t**2 + p*t = 0. Calculate t.
4
Let g(i) = 0*i**3 - 3*i**2 - i**4 - i**4 - 2*i**3 + 5 - 3*i. Let v(h) = -h**4 - h**3 - h**2 - h + 2. Let y = -9 - -14. Let o(t) = y*v(t) - 2*g(t). Factor o(m).
-m*(m - 1)*(m + 1)**2
Let n(p) = -8*p**2 - 32*p - 11. Let l(d) be the first derivative of -d**3 - 11*d**2/2 - 4*d - 5. Let b(u) = -17*l(u) + 6*n(u). Factor b(t).
(t - 1)*(3*t - 2)
Let t be 8/(-6)*3/(-1). Determine k so that 4*k**2 + 10*k**t - 2 + 2*k**5 - 4*k**3 + 0*k**2 + 2*k - 12*k**4 = 0.
-1, 1
Let d = 1 - -3. Let h be (-1)/(-4) + 19/4. Factor j**3 - h*j**5 + 4*j**5 + 2*j**2 + 3*j**4 - 5*j**d.
-j**2*(j - 1)*(j + 1)*(j + 2)
Let v(b) be the second derivative of 0 + 1/2*b**3 - 9/20*b**5 + 1/7*b**7 - 1/4*b**4 + 0*b**2 - 7*b + 1/10*b**6. Suppose v(g) = 0. What is g?
-1, 0, 1/2, 1
Let o(s) be the first derivative of -3/16*s**4 + 1 + 0*s**2 + 0*s + 3/4*s**3. Factor o(a).
-3*a**2*(a - 3)/4
Let q(f) be the first derivative of -3*f**4/4 + 4*f**3 - 15*f**2/2 + 6*f - 13. Suppose q(j) = 0. Calculate j.
1, 2
Factor -f - 1/6*f**2 - 5/6.
-(f + 1)*(f + 5)/6
Let g be (-9)/15 + (-4017)/5. Let c = -5618/7 - g. Solve -2/7 - 4/7*b**2 + c*b - 4*b**3 + 6/7*b**4 + 18/7*b**5 = 0.
-1, 1/3, 1
Let w(z) be the first derivative of 2*z**4/5 + 2*z**3/5 - z**2/5 + 4. Determine b so that 