*2 + 8 + 4/9*n**3 - 4/3*n.
4*(n - 3)**2*(n + 2)/9
Let w(f) be the second derivative of f**3 + 0*f**5 + 8*f + 0*f**4 + 0*f**2 - 1/2340*f**6 + 0. Let m(i) be the second derivative of w(i). Factor m(t).
-2*t**2/13
Let z(g) be the third derivative of -g**6/45 - g**5/10 - g**4/18 - 39*g**2. Solve z(p) = 0 for p.
-2, -1/4, 0
Determine g so that 0 - 4/3*g**3 - 52/3*g + 56/3*g**2 = 0.
0, 1, 13
Suppose 66*j + 5445 + 1/5*j**2 = 0. Calculate j.
-165
Let t(h) = 13*h**2 - 7*h + 1. Let y(q) = 2*q**2 - q. Let v(p) = -3*t(p) + 21*y(p). Solve v(a) = 0 for a.
-1, 1
Let l(i) = 3*i**3 + 275*i**2 + 175*i - 632. Let a be l(-91). Factor -1/2*c**3 + 1/2*c**4 + 0*c + 0 - 1/6*c**a + 1/6*c**2.
-c**2*(c - 1)**3/6
Let j(r) be the second derivative of -3*r**5/140 - r**4/14 + 12*r**3/7 + 30*r + 2. Factor j(n).
-3*n*(n - 4)*(n + 6)/7
Let f(t) = -3*t**4 - 10*t**3 + 6*t**2 + 15*t + 2. Let g(a) = -a**4 - 5*a**3 + 3*a**2 + 7*a. Let n(w) = 2*f(w) - 5*g(w). Suppose n(r) = 0. Calculate r.
-1, 1, 4
Let y be (12/(-81))/((-36)/648). Solve y*w + 30*w**3 - 50/3*w**4 + 0 - 16*w**2 = 0.
0, 2/5, 1
Let m(h) = -3*h**4 - 54*h**3 - 75*h**2 - 39*h - 9. Let v(o) = -3*o**4 + o**3 + o**2 + 1. Let i(f) = -m(f) - 3*v(f). Determine p so that i(p) = 0.
-2, -1, -1/4
Find c, given that 2/5*c**4 + 32/5 + 66/5*c**2 + 16*c + 4*c**3 = 0.
-4, -1
Let j(f) be the second derivative of -5*f**4/12 + 5*f**3/3 - 5*f**2/2 + 19*f. Let t(i) = -2*i**2 + 5*i - 3. Let a(q) = 3*j(q) - 7*t(q). Factor a(y).
-(y - 1)*(y + 6)
Suppose 2*b + 106 = -5*n, 15 + 2 = -n + b. Let g be n/25*(-10)/24*2. Factor -g*s + 2/9*s**2 + 4/9.
2*(s - 2)*(s - 1)/9
Let r = 26 + -29. Let j(n) = n**2 - n - 5. Let q(h) = 1. Let a(s) = r*q(s) - j(s). Factor a(t).
-(t - 2)*(t + 1)
Let i = 43 + -40. Factor -6*w**4 + 7*w**2 + 8*w**4 + 2*w**3 + 3*w**i + 3*w - w**4.
w*(w + 1)**2*(w + 3)
Let w(k) = k + 7. Let x be w(-5). Let 6*t**2 + x*t**2 - 6*t**2 = 0. Calculate t.
0
Let a(v) be the first derivative of -v**3/3 - v**2/2 + 4. Let c(u) = -u**3 - 2*u**2 - 11*u + 2. Let l(g) = 30*a(g) - 5*c(g). Solve l(z) = 0 for z.
1, 2
Suppose -23*n = -18*n - 20. Let -5 + 48*w + 25*w**2 + 27*w**2 + 21 + 24*w**3 + n*w**4 = 0. Calculate w.
-2, -1
Let r(f) = 3*f - 27. Let s be r(7). Let k(j) = -3*j**3 + 15*j**2 + 6*j - 6. Let d(t) = 2*t**3 - 14*t**2 - 5*t + 7. Let u(g) = s*d(g) - 5*k(g). Factor u(b).
3*(b - 1)*(b + 2)**2
Suppose -252 = 2*i - 8*i. Let -14*z**2 + i - 42 + 14*z**4 + 5*z - 4*z**3 - z = 0. Calculate z.
-1, 0, 2/7, 1
Suppose -u - p + 7 = 4, -u - 3*p + 3 = 0. Let l(r) be the first derivative of -11/8*r**2 - 1/2*r - 3/4*r**u - 5. Factor l(m).
-(m + 1)*(9*m + 2)/4
Factor 4/7*q**2 - 33/7*q + 8/7.
(q - 8)*(4*q - 1)/7
Let a(k) be the second derivative of 2*k**6/15 + 9*k**5/5 + 25*k**4/3 + 18*k**3 + 20*k**2 + 16*k - 2. Determine g so that a(g) = 0.
-5, -2, -1
Let s be 4/(-20)*4*5/1. Let c be ((-6)/s)/(3/10). Determine k so that 3/5*k**c - 3/5 + 6/5*k**2 - 6/5*k**3 - 3/5*k**4 + 3/5*k = 0.
-1, 1
Let g(c) = -2*c**2 + 116*c - 116. Let h(y) = -2*y**2 + 118*y - 119. Let i(k) = -3*g(k) + 2*h(k). Let i(n) = 0. What is n?
1, 55
Let i(k) be the first derivative of 2/5*k**2 - 1/15*k**3 - 12 - 3/5*k. Suppose i(f) = 0. What is f?
1, 3
Let c(i) be the second derivative of 3/2*i**2 + 1/14*i**7 - 3/2*i**3 + 1/2*i**4 - 3/10*i**6 + 0 + 3/10*i**5 + 11*i. Factor c(t).
3*(t - 1)**4*(t + 1)
Let r(a) = -9*a**3 + 35*a**2 - 74*a + 5. Let l(s) = 10*s**3 - 34*s**2 + 76*s - 6. Let i(p) = 5*l(p) + 6*r(p). Solve i(m) = 0.
0, 2, 8
Let h(z) = 2*z**2 + 4*z + 2. Let t be h(-2). Let 4*w - w**3 - 9*w**4 - 3*w**3 + w**t + w**2 + 6*w**4 + 1 = 0. Calculate w.
-1, -1/3, 1
Let s(c) be the first derivative of -5*c**3/12 - 45*c**2/2 + 185*c/4 - 777. Factor s(p).
-5*(p - 1)*(p + 37)/4
Let r(o) be the first derivative of 0*o + 1/2*o**2 - 2/3*o**3 + 1 - 3/20*o**6 - 2/3*o**5 - 13/12*o**4. Let x(d) be the second derivative of r(d). Factor x(z).
-2*(z + 1)**2*(9*z + 2)
Let h(u) = -67*u**3 - 85*u**2 + 2742*u - 724. Let z(y) = -34*y**3 - 42*y**2 + 1372*y - 360. Let n(f) = 6*h(f) - 11*z(f). Find l, given that n(l) = 0.
-8, 2/7, 6
Let y(c) be the third derivative of -c**5/90 + c**4/9 - 4*c**3/9 - 141*c**2. Let y(k) = 0. What is k?
2
Suppose -62*x = -80*x + 36. Factor -1/3*y**4 + 0*y**3 + 0*y + 4/9*y**x + 1/9*y**5 + 0.
y**2*(y - 2)**2*(y + 1)/9
Let d = 207/25 + -1838/225. Factor 0*l + 1/9*l**2 + 0 + d*l**3.
l**2*(l + 1)/9
Suppose 2/9*v**3 + 2*v + 0 + 4/3*v**2 = 0. What is v?
-3, 0
Let n(g) = 2*g - 2259*g**2 - g**3 - g + 1 + 2260*g**2. Let o(q) = 8*q**3 - 8*q**2 - 7*q - 7. Let u(x) = 21*n(x) + 3*o(x). Factor u(v).
3*v**2*(v - 1)
Suppose 0 = -c - 4*k - 10, 4*c - 13*k - 23 = -8*k. Factor 0 + 0*q - 3*q**3 - 9/5*q**4 - 6/5*q**c.
-3*q**2*(q + 1)*(3*q + 2)/5
Let z(f) be the second derivative of -f**7/126 - f**6/30 - 90*f. Factor z(l).
-l**4*(l + 3)/3
Let u(x) be the third derivative of -x**6/24 - x**5/6 + 35*x**4/24 - 10*x**3/3 - 17*x**2. Factor u(d).
-5*(d - 1)**2*(d + 4)
Suppose 2*h + 5*s - 9 = 0, 0 = -3*h + 7*h - s - 7. Suppose 4*m - 4 = 3*q, 3*q + 2*m - 4 = -2*m. Factor -3/2*i**5 + q + 5*i**4 - 6*i**3 - 1/2*i + 3*i**h.
-i*(i - 1)**3*(3*i - 1)/2
Solve 6/5*x**2 + 3/5*x**4 + 0 - 9/5*x**3 + 0*x = 0 for x.
0, 1, 2
Let b(i) = -4*i**4 - 4*i**3 + 4*i**2 + 4*i - 2. Let h(o) = o**5 + o**4 - o**3 - o**2 + 1. Let w(s) = b(s) + 2*h(s). Solve w(f) = 0 for f.
-1, 0, 1, 2
Let o be 2/10 + 512/40. Suppose 18*u = o*u + 85. Factor 6 - u*g + 38*g - 21*g**3 - 12 + 6*g**2.
-3*(g - 1)*(g + 1)*(7*g - 2)
Let t(x) = 5*x**3 - 7*x**2 - 2*x + 7. Let a(c) = -15*c**3 + 22*c**2 + 7*c - 22. Suppose -2*r + 5 = -5*w - 1, 0 = -w. Let d(q) = r*a(q) + 8*t(q). Factor d(b).
-5*(b - 2)*(b - 1)*(b + 1)
Let x(m) be the first derivative of -5/3*m**3 + 0*m + 7 - 5/2*m**4 + 5*m**2 + m**5. Suppose x(v) = 0. What is v?
-1, 0, 1, 2
Find l such that -52*l + 4310*l**2 - 8689*l**2 - l**5 + 3*l**3 + 9*l**4 + 4303*l**2 + 17*l**4 = 0.
-1, 0, 2, 26
Factor -72 - 1180*d + 542*d - 2*d**2 + 564*d.
-2*(d + 1)*(d + 36)
Let o(g) = -g**4 + 4*g**2. Let f(u) = -25*u**4 + 20*u**3 + 125*u**2 - 30*u. Let i(y) = -f(y) + 30*o(y). Factor i(v).
-5*v*(v - 1)*(v + 2)*(v + 3)
Let n(g) be the second derivative of -2/35*g**5 - 1/105*g**6 + 0 + 0*g**2 + 0*g**4 - 16*g + 0*g**3. Factor n(k).
-2*k**3*(k + 4)/7
Factor 0*f + 2/7*f**3 - 8/7*f**2 + 0.
2*f**2*(f - 4)/7
Let g be ((-608)/9)/(-8) + 96/(-12). Determine r, given that -2/9*r**5 + 0*r**4 - g*r**2 - 2/3*r + 4/9 + 8/9*r**3 = 0.
-2, -1, 1
Let j(q) be the third derivative of -5*q**8/336 + 3*q**6/8 - q**5/3 - 5*q**4/2 - 129*q**2. Find f such that j(f) = 0.
-3, -1, 0, 2
Let p(i) be the first derivative of 4*i**5/5 - 19*i**4 + 107*i**3 + 190*i**2 + 100*i - 259. Solve p(s) = 0.
-1/2, 10
Factor 1/6*j**2 + 2/3*j + 0.
j*(j + 4)/6
Let k = -25 - -24. Let b(p) = -1. Let d(i) = 3*i**4 - 9*i**3 + 9*i**2 - 3*i + 1. Let y(r) = k*d(r) - b(r). Suppose y(h) = 0. What is h?
0, 1
Suppose 12*z**4 + 3*z**2 - 35*z**5 - 4*z**2 + 6*z**2 + 10*z - 75*z**3 + 83*z**4 = 0. Calculate z.
-2/7, 0, 1
Let u be -8 + 12 - (-30)/2. Let j = 30 - u. Factor -21*f**2 + 25 + j*f + 15*f**2 - f + 7*f**2.
(f + 5)**2
Let o(v) be the second derivative of v**5/20 - v**4/12 + 2*v**2 - 3*v. Let n be o(0). Factor -14*t - 14*t**2 + n*t**4 + 2*t**2 + 6*t.
4*t*(t - 2)*(t + 1)**2
What is y in -2/7*y**4 - 30/7*y**2 + 20/7*y + 32/7 - 20/7*y**3 = 0?
-8, -2, -1, 1
Let 53/5*l**3 - 19*l**2 - 12/5 - 2*l**4 + 64/5*l = 0. Calculate l.
3/10, 1, 2
Factor 4*c**5 - 910*c**3 - 1144*c**2 + 756*c - 799*c**3 - 204*c**4 - 188 + 2485*c**3.
4*(c - 47)*(c - 1)**4
Let n(y) be the third derivative of y**8/420 - y**6/45 + y**4/6 + 19*y**3/6 - 12*y**2. Let q(d) be the first derivative of n(d). Determine j so that q(j) = 0.
-1, 1
Solve 5*k**2 + 13*k**2 + 27*k**2 + 39*k**2 + 16 + 64*k + 36*k**3 = 0.
-1, -2/3
Suppose 36*x = -34*x. Suppose x - 3/4*z - 3/4*z**2 = 0. Calculate z.
-1, 0
Let y(i) be the second derivative of 0 + 1/6*i**3 + 2*i + 1/12*i**4 + 0*i**2. Let n(b) = 3*b**2 + 10*b - 9. Let v(c) = 3*n(c) - 12*y(c). Factor v(u).
-3*(u - 3)**2
Let b = 411/7 + -24653/420. Let j(c) be the third derivative of 1/40*c**6 + 3*c**2 + 0*c**4 - b*c**5 + 0*c + 0*c**3 + 0. Factor j(v).
v**2*(3*v - 1)
Let w(b) be the third derivative of -b**7/504 + b**6/144 + b**5/4 - b**4/8 + 11*b**2. Let i(y) be the second derivative of w(y). Let i(p) = 0. Calcula