lculate o.
-65, 2
Factor -2592*i + 4*i**3 + 2592*i - 2*i**4.
-2*i**3*(i - 2)
Suppose -h = 5, -h + 504 = -2*u + 513. Factor -3/10*v**u + 1/10*v + 1/10*v**4 - 1/10*v**3 + 1/5.
(v - 2)*(v - 1)*(v + 1)**2/10
Solve -62/3*r - 20 - 2/3*r**2 = 0 for r.
-30, -1
Let h = 443/968 - 10/121. Let -3/8*r + 0 + h*r**2 = 0. Calculate r.
0, 1
Let o(b) be the third derivative of 81*b**7/280 + 9*b**6/32 - 97*b**5/40 + 19*b**4/8 - b**3 + 178*b**2. Determine a, given that o(a) = 0.
-2, 2/9, 1
Let w be 4*((-8)/28 - 44/(-7)). Suppose 15*s**5 - 46*s**4 - w*s + 90*s**3 - 8*s**4 - 15*s**4 - 12*s**2 = 0. Calculate s.
-2/5, 0, 1, 2
Let p = 213 - 200. Suppose p*k - 14*k + 3 = 0. Solve -4/5 + 8/5*n**5 - 2*n + 26/5*n**2 - 22/5*n**4 + 2/5*n**k = 0 for n.
-1, -1/4, 1, 2
Suppose 0*f = f + 93. Let v = f - -471/5. Suppose -v*t**4 + 3*t**3 + 0*t - 3*t**5 + 0 + 6/5*t**2 = 0. Calculate t.
-1, -2/5, 0, 1
Let h(f) be the second derivative of -8*f**2 + 0 - f - 8/3*f**3 - 1/3*f**4. Factor h(o).
-4*(o + 2)**2
Let v(m) be the third derivative of m**8/2240 + m**7/840 + m**4/24 - 18*m**2. Let b(d) be the second derivative of v(d). Solve b(c) = 0.
-1, 0
What is a in -2/11*a**2 + 0 + 36/11*a = 0?
0, 18
Let d = 531 - 525. Let u(q) be the third derivative of -7*q**2 - 1/210*q**7 - 1/48*q**4 + 0 + 0*q**3 + 0*q + 0*q**d + 1/60*q**5 + 1/672*q**8. Factor u(y).
y*(y - 1)**3*(y + 1)/2
Let f(h) be the second derivative of h**4/4 + 4*h**3 - 30*h**2 + h - 3. Factor f(p).
3*(p - 2)*(p + 10)
Let q(z) be the third derivative of z**8/84 - 2*z**7/35 + z**6/30 + z**5/5 - z**4/3 - 100*z**2. Factor q(r).
4*r*(r - 2)*(r - 1)**2*(r + 1)
Let i(a) be the third derivative of 1/54*a**4 + 6*a**2 + 1/270*a**5 + 0 + 0*a + 1/27*a**3. Factor i(t).
2*(t + 1)**2/9
Let i be ((-92)/(-690))/(1/(-20)*-2). Factor 0 + 2/3*m**3 - i*m**2 + 2/3*m.
2*m*(m - 1)**2/3
Let z(u) be the first derivative of 0*u**5 - 15/8*u**4 + 3*u**2 + 1/4*u**6 + 16 + 0*u**3 + 0*u. Determine h, given that z(h) = 0.
-2, -1, 0, 1, 2
Let u(o) be the third derivative of o**7/630 + 7*o**6/360 - o**5/60 - 55*o**4/72 + 25*o**3/9 - o**2 - 5*o. Factor u(w).
(w - 2)*(w - 1)*(w + 5)**2/3
Let v(z) = -z**2 + 25*z + 20. Let y(i) = -25*i - 20. Let r(u) = 7*u**3 + 2*u**2 + 3*u + 2. Let f be r(-1). Let g(j) = f*y(j) - 5*v(j). Factor g(w).
5*(w + 1)*(w + 4)
Let q(p) be the first derivative of 3/7*p**3 + 1/7*p - 4 - 3/7*p**2. Factor q(k).
(3*k - 1)**2/7
Let f = -267 + 269. Let l(t) be the third derivative of 0 + 5*t**f + 0*t + 1/105*t**7 + 1/120*t**5 + 0*t**3 + 0*t**4 - 1/48*t**6. What is q in l(q) = 0?
0, 1/4, 1
Let l(o) be the third derivative of 11*o**8/336 - 7*o**7/30 + 29*o**6/60 + o**5/15 - o**4 - 6*o**2 - 5*o. Let l(r) = 0. Calculate r.
-6/11, 0, 1, 2
Determine p so that 11*p**2 + 33*p**3 + 13 + 2*p**2 + 9*p**4 - 17 - 2*p**2 - 28*p**2 - 21*p = 0.
-4, -1/3, 1
Let d(f) be the second derivative of f**5/15 - 5*f**4/6 - 5*f**2 - 38*f. Let u(h) be the first derivative of d(h). Factor u(v).
4*v*(v - 5)
Let f(j) = 3*j**2 + j**3 - 1 + j - 7*j**2 + 4*j**2. Let c(q) = -6*q**3 + 6*q**2 - 3*q + 3. Let g(i) = c(i) + 3*f(i). Factor g(r).
-3*r**2*(r - 2)
Let d be (-18)/216*15/(-12). Let c(p) be the third derivative of 1/30*p**5 + 6*p**2 + 1/12*p**3 - d*p**4 + 0 + 0*p. Let c(b) = 0. Calculate b.
1/4, 1
Let n(i) be the third derivative of -4*i**2 - 1/15*i**6 - 2/105*i**7 + 0*i**3 + 0*i**5 + 0*i + 0*i**4 + 0. Factor n(a).
-4*a**3*(a + 2)
Let v(j) = 2*j**4 - 6*j**3 + 6*j**2 + 26*j + 12. Let s(g) = -9*g**4 + 23*g**3 - 25*g**2 - 103*g - 46. Let w(h) = -6*s(h) - 26*v(h). Find n, given that w(n) = 0.
-9, -1, 2
Let m = -483 + 28981/60. Let r(v) be the third derivative of 1/15*v**5 + 0*v + 0*v**4 - m*v**6 + 0*v**3 - 1/105*v**7 - 5*v**2 + 0. Solve r(i) = 0 for i.
-2, 0, 1
Let p = -34 - -36. Let d = 13 + p. Determine y, given that 26*y + 51*y**3 + y - 6 + 6*y - d*y**4 - 63*y**2 = 0.
2/5, 1
Let t be -2 + (-88)/(-12)*(-63)/(-6). Factor 60*b - 101*b**2 - 3 + t*b**2 - 76*b**2 - 198*b**2.
-3*(10*b - 1)**2
Let b(d) be the second derivative of -9/20*d**5 + 0 - 1/10*d**6 + 0*d**2 - 3/4*d**4 - 8*d - 1/2*d**3. Factor b(r).
-3*r*(r + 1)**3
Let i(j) be the second derivative of 24389*j**5/4 + 4205*j**4/2 + 290*j**3 + 20*j**2 - 62*j. Let i(a) = 0. What is a?
-2/29
Let v(g) be the first derivative of -4*g**5/5 + 4*g**4 - 4*g**3 + 86. Let v(u) = 0. Calculate u.
0, 1, 3
Let w be (-31)/(-7) + (-147)/343. Let y(l) be the third derivative of 0*l**w + 0*l + 0*l**6 + 0 + 1/105*l**7 + 0*l**5 + 0*l**3 + 6*l**2. Factor y(g).
2*g**4
Suppose -2*z + 29 = 89. Let j be (108/z + 3)*(-4 + -1). Factor 0 + 3*n**j + 0*n**4 - 3/2*n + 0*n**2 - 3/2*n**5.
-3*n*(n - 1)**2*(n + 1)**2/2
Determine w, given that -20/7*w + 0 + 4/7*w**2 = 0.
0, 5
Let r be 3*5*(-2 + 3). Let u = 292 - 289. Factor r*d**5 + d**3 - 3*d**u - 13*d**5.
2*d**3*(d - 1)*(d + 1)
Let z(p) be the first derivative of -p**4/6 + 8*p**3/27 + p**2/9 - 4*p/9 - 622. Factor z(r).
-2*(r - 1)**2*(3*r + 2)/9
Factor 2/3*q**4 - 8/3*q + 4*q**2 + 2/3 - 8/3*q**3.
2*(q - 1)**4/3
Find k, given that -12/5*k**5 + 9/5*k**3 - 3*k**2 - 6/5*k + 0 + 24/5*k**4 = 0.
-1/2, 0, 1, 2
Let d(p) = -6*p**3 - 115*p**2 - 17*p + 40. Let h be d(-19). Determine c so that -h*c**2 + 6/5*c**3 + 0 + 4/5*c = 0.
0, 2/3, 1
Let a = 2654 - 2653. Suppose 3/2*u + 1/2*u**2 + a = 0. Calculate u.
-2, -1
Let c be 0/((-16)/18 - 2/18). Let z(l) be the second derivative of -1/150*l**5 - 1/9*l**3 + 2/15*l**2 + 8*l + c + 2/45*l**4. Suppose z(t) = 0. What is t?
1, 2
Let a(d) be the first derivative of -9/20*d**4 - 384/5*d - 48*d**2 + 46/5*d**3 - 10. Factor a(t).
-3*(t - 8)**2*(3*t + 2)/5
Let n be (4/2)/(9/(-18)). Let w be 321/66 + n + 1/(-2). Suppose -18/11*t**2 - w*t + 0 - 14/11*t**3 = 0. What is t?
-1, -2/7, 0
Let b(t) be the third derivative of -2*t**2 - 1/21*t**7 + 2*t - 4/3*t**3 + 1/2*t**5 + 1/3*t**4 + 0 + 1/30*t**6. Find f such that b(f) = 0.
-1, 2/5, 2
Let k(b) be the third derivative of b**7/840 + b**6/48 + 17*b**5/240 + b**4/12 - 2*b**2 - 1. Factor k(c).
c*(c + 1)**2*(c + 8)/4
Let c(g) = 4*g - 2. Let t be c(1). Let u = 6 - 4. Factor -u*z + 2*z**2 + 4*z - z**t.
z*(z + 2)
Let z(u) be the second derivative of u**6/135 - 4*u**5/45 + u**4/6 + 2*u**3/3 - 223*u. Solve z(y) = 0.
-1, 0, 3, 6
Suppose -6*a = -4*a + 8. Let q(p) = 6*p + 27. Let l be q(a). Factor 6/5*f**2 - 2/5*f**l + 2/5 - 6/5*f.
-2*(f - 1)**3/5
Let j(r) = -13*r**4 + 6*r**3 + 12*r**2 + 3*r + 10. Let i(x) = -2*x**4 - x + 1. Let w(d) = -7*i(d) + j(d). Factor w(o).
(o + 1)**3*(o + 3)
Let 5/2*w**2 + 0 + 7/2*w**3 - w = 0. Calculate w.
-1, 0, 2/7
Let v be 3/5 - 714/1530. Let a(d) be the second derivative of 0 + v*d**5 + 4/9*d**3 + 1/3*d**2 + 1/45*d**6 + 1/3*d**4 - 4*d. Find k, given that a(k) = 0.
-1
Let o = 3 + 0. Let n(p) = -3*p**2 + 14*p - 4. Let a be n(4). Find y, given that -4*y**2 + 2*y**4 + 4*y**5 + a*y**o + 0 + 2 - 6*y**5 - 2*y = 0.
-1, 1
Let b(x) be the third derivative of x**8/3024 + 2*x**7/945 + x**6/540 - x**5/135 - x**4/72 + 18*x**2 + 1. Factor b(g).
g*(g - 1)*(g + 1)**2*(g + 3)/9
Let p(u) = -22*u**3 - 13*u**2 + 27*u - 7. Let t(z) = 3*z**3 + z**2 + 1. Let c(h) = -p(h) - 7*t(h). Factor c(w).
w*(w - 3)*(w + 9)
Factor 117/4*g**3 + 3/8*g**4 + 0*g + 4563/8*g**2 + 0.
3*g**2*(g + 39)**2/8
Factor -12*y**2 + 919*y**3 - 920*y**3 - 36*y - 18 - 14.
-(y + 2)**2*(y + 8)
Solve 10*x**2 + 3*x**2 - 16*x**2 - 36 - 21*x = 0.
-4, -3
Let d be (-1 - 9) + 2 - 17632/(-2088). Find f, given that 14/9*f**3 - d*f + 0 + 2/3*f**4 - 2/3*f**2 - 10/9*f**5 = 0.
-1, -2/5, 0, 1
Let -164889*v + 3*v**2 + 164499*v + 10042 + 2633 = 0. Calculate v.
65
Let d(z) be the third derivative of 3*z**8/56 + 19*z**7/35 + 23*z**6/12 + 13*z**5/10 - 10*z**4 - 100*z**3/3 + 477*z**2. Solve d(u) = 0 for u.
-2, -5/3, 1
Suppose -5*f - 2*t + 5 = -9, -3*t - 4 = -5*f. Let i(u) = u**3 - 5*u**2 + u - 3. Let s be i(5). Solve -16/3*n + f - 2*n**s = 0 for n.
-3, 1/3
Let a(o) be the third derivative of 0*o + 0 + 1/14*o**5 - 14*o**2 + 25/168*o**4 + 3/280*o**6 + 0*o**3. Factor a(h).
h*(3*h + 5)**2/7
Let i = 5 - -16. Factor 69*h**2 + 102*h - i*h**3 - 13*h - 23*h - 24.
-3*(h - 4)*(h + 1)*(7*h - 2)
Let b be 8 - 2*15/10. Let -512 - 5*c**2 + 5*c**4 - b*c**3 + 5*c + 512 = 0. What is c?
-1, 0, 1
Determine c so that -8/3*c + 8/3*c**3 - 1/3*c**4 + 7/3 - 2*c**2 = 0.
-1, 1, 7
Let a(x) be the third derivative of -x**6/180 - x**5/90 + x**4