5*f**3 + 0 - 6/5*f**2 - 2/5*f**4 = 0. Calculate f.
0, 1
Suppose 0*o - 4*o = 0. Let j = 4 - o. Solve -3*d**j - 1 + 2 - 3*d**3 - 1 = 0 for d.
-1, 0
Let u(i) = -i - 25. Let p be u(-14). Let l(o) = 5*o**2 - 10*o + 12. Let x(w) = 26*w**2 - 49*w + 60. Let v(r) = p*l(r) + 2*x(r). Factor v(s).
-3*(s - 2)**2
Suppose 5*p = 2*u - 6*u - 8, 0 = 4*u + 3*p. Factor -7*k + k**u - 2*k**3 + k**2 + 8*k - 1.
-(k - 1)**2*(k + 1)
Factor 6*t**3 + 0 - 5*t**2 - 2*t - 7*t**2 + 4*t**2 + 4.
2*(t - 1)**2*(3*t + 2)
Let a(b) = -5*b**5 + 2*b**4 + 3*b**3 - 10*b**2 + b - 3. Let c(r) = -6*r**5 + 2*r**4 + 2*r**3 - 10*r**2 - 4. Let t(i) = 4*a(i) - 3*c(i). Factor t(s).
-2*s*(s - 1)**3*(s + 2)
Let b(l) be the first derivative of 2*l**5/55 + l**4/22 - 2*l**3/33 - l**2/11 - 15. Factor b(v).
2*v*(v - 1)*(v + 1)**2/11
Let k(j) be the second derivative of -j + 0*j**3 + 1/12*j**4 - 1/2*j**2 + 0. Factor k(x).
(x - 1)*(x + 1)
Suppose x = -5*s - 3, 4*x - 12 = 4*s - 0. Let j(c) be the first derivative of 0*c + 0*c**x + 3 + c**4 + 1/3*c**3. Let j(n) = 0. Calculate n.
-1/4, 0
Find u, given that 5 - 16*u - 7 - 18 + 4*u**2 + 0 = 0.
-1, 5
Suppose 2/9*s**4 + 8/9*s**3 + 0 + 0*s + 2/3*s**2 = 0. What is s?
-3, -1, 0
Let w = 10 + -6. Let r be (-2)/(-10) - 3/(-10). Factor -h**2 + 1/2*h**w + r + 0*h + 0*h**3.
(h - 1)**2*(h + 1)**2/2
Let h be (3/9)/(1/69). Let n = h + -19. Factor 0 + 1/2*p**n + 0*p + p**3 + 1/2*p**2.
p**2*(p + 1)**2/2
Solve 2*v**2 + 2/3*v + 0 + 2/3*v**4 + 2*v**3 = 0 for v.
-1, 0
Let c(g) be the first derivative of -2/7*g**2 + 8/21*g**3 + 0*g - 7 - 1/7*g**4. Suppose c(k) = 0. What is k?
0, 1
Let q be ((-4)/(-10))/(3/(-1032)). Let t = 138 + q. Suppose -t + 2/5*f**2 - 2/5*f**3 + 2/5*f = 0. What is f?
-1, 1
Let r(a) be the third derivative of a**6/120 + a**5/60 - a**4/6 - 2*a**3/3 - 32*a**2. Factor r(u).
(u - 2)*(u + 1)*(u + 2)
Let l(g) be the third derivative of g**6/420 - g**5/105 - g**4/84 + 2*g**3/21 - 8*g**2. Factor l(m).
2*(m - 2)*(m - 1)*(m + 1)/7
Factor -2/7 + 2/7*t**2 + 2/7*t**3 - 2/7*t.
2*(t - 1)*(t + 1)**2/7
Let q be (0/3)/(63/9). Factor -4/15*w**4 + q*w - 2/15*w**2 + 2/5*w**3 + 0.
-2*w**2*(w - 1)*(2*w - 1)/15
Let p(g) be the second derivative of g**6/120 - g**5/60 - 3*g**2/2 + g. Let f(c) be the first derivative of p(c). Find b, given that f(b) = 0.
0, 1
Let a be (-5)/3 - (-2 - 0). Let j(n) be the third derivative of -1/15*n**6 - n**2 + 0 + 1/5*n**5 + 1/105*n**7 + 0*n - 1/3*n**4 + a*n**3. Factor j(q).
2*(q - 1)**4
Let s(i) be the first derivative of -2 - 1/6*i**2 - 1/9*i**3 + 1/12*i**4 + 1/3*i. Factor s(m).
(m - 1)**2*(m + 1)/3
Let g(p) be the second derivative of p**8/840 - p**7/525 - p**6/300 + p**5/150 + p**2 + 3*p. Let s(f) be the first derivative of g(f). Factor s(a).
2*a**2*(a - 1)**2*(a + 1)/5
Let r(s) be the first derivative of s**4/2 - 4*s**3/3 - s**2 + 4*s - 5. Factor r(m).
2*(m - 2)*(m - 1)*(m + 1)
Find j, given that -2/7*j**4 - 4/7*j**2 - 2/7*j**5 - 10/7*j + 12/7*j**3 + 6/7 = 0.
-3, -1, 1
Let a(q) be the third derivative of q**11/71280 - q**10/25200 + q**9/45360 - q**5/30 + 6*q**2. Let p(j) be the third derivative of a(j). Solve p(w) = 0 for w.
0, 2/7, 1
Let d = -83 + 83. Solve d + 2/11*c**2 + 2/11*c = 0.
-1, 0
Let s(q) be the third derivative of -q**5/390 - q**4/156 + 4*q**2. Let s(o) = 0. What is o?
-1, 0
Solve 3/2*w**2 + 3/2 + 3*w = 0.
-1
Factor 0*h**2 + 4/3 + 2/3*h**3 - 2*h.
2*(h - 1)**2*(h + 2)/3
Let c = 13 - 8. Suppose c*a + 24 = 2*m, -5*a - 26 = -m - 2*m. Determine r, given that -1 - 1 - 4*r + 2*r**m - 4*r**2 = 0.
-1
Determine v so that -9*v**2 + 29*v**2 + 20*v**4 + 5*v + 30*v**3 + 11*v**5 - 4*v**5 - 2*v**5 = 0.
-1, 0
Let t(o) = o**3 - 5*o**2 + 3*o + 4. Suppose h = -r, -2*r + 5*h + 36 = 2*r. Let d be t(r). What is u in 2/7 - 2/7*u**2 + d*u = 0?
-1, 1
Suppose -4*f = 3*t + 14, 5 = 4*t + f + 2. Let k be (-1 + -2)/((-2)/t). Factor -k - 2*a**2 + 1 - 5*a + a.
-2*(a + 1)**2
Factor 4/5*m + 2/5 + 2/5*m**2.
2*(m + 1)**2/5
Let o(c) be the second derivative of 3*c**5/10 - c**4/6 - c**3 + c**2 - 7*c. Let o(u) = 0. Calculate u.
-1, 1/3, 1
Suppose -2*w = 8, -5*n + 12 = -5*w + 2*w. Suppose n*b = b. Suppose -2/7*u**3 + 2/7*u**2 + 0 + b*u = 0. Calculate u.
0, 1
Let m(p) be the second derivative of -p**7/56 + p**6/60 + 9*p**5/80 - p**4/4 + p**3/6 + 12*p. Solve m(s) = 0.
-2, 0, 2/3, 1
Suppose -5*n + 5*b + 4 = -1, 3*b + 3 = -5*n. Solve 1/5*t**2 - 1/5 + n*t = 0.
-1, 1
Let q(i) = i**2 - 7*i + 12. Let k be q(5). Let h = 27/46 - 2/23. Factor h*y + 1/2*y**k + 0.
y*(y + 1)/2
Let s be (-702)/(-270) + 0 + 4/10. Solve -4/3 + 8/3*a**2 + 2*a**s - 10/3*a = 0.
-2, -1/3, 1
Suppose 0*r + 2*r - 5*l = 31, 2*l = -2*r - 4. Factor 3*q**3 - 3*q**3 - q**r.
-q**3
Let a = 270691 - 72274402/267. Let q = a + -2/89. Let -q*y**3 + 0 + 1/3*y + 0*y**2 = 0. What is y?
-1, 0, 1
Find y such that -8*y + 2*y**4 - 6*y**2 + 8 + 4*y**3 + 0*y**3 - 4*y**4 + 4*y**4 = 0.
-2, 1
Let p(a) be the first derivative of 4*a**3/9 - 8*a**2/3 - 5. Determine o so that p(o) = 0.
0, 4
Let q(y) be the first derivative of 2 - 2/9*y**3 - 2/3*y**2 - 2/3*y. Suppose q(n) = 0. Calculate n.
-1
Let i(j) be the third derivative of -3*j**4 + 0*j + 49/40*j**6 + 2*j**3 + 4*j**2 + 0 + 21/20*j**5. Solve i(b) = 0.
-1, 2/7
Let n(c) = -11*c + 79. Let g be n(7). Find p such that 3/5*p**g + 0*p - 12/5 = 0.
-2, 2
Let k(x) be the first derivative of x**7/3360 - x**5/160 - x**4/48 + 2*x**3/3 - 2. Let z(d) be the third derivative of k(d). Solve z(w) = 0.
-1, 2
Find p, given that -6136*p + 4*p**2 + 6136*p - 16 = 0.
-2, 2
Let b(a) be the third derivative of a**5/30 - a**4/12 - a**2. What is o in b(o) = 0?
0, 1
Let t(f) be the second derivative of -f**8/3360 - f**7/1260 + f**6/360 + f**5/60 - f**4/6 + 2*f. Let n(k) be the third derivative of t(k). Factor n(w).
-2*(w - 1)*(w + 1)**2
Let i(h) be the third derivative of 3*h**2 + 1/480*h**6 + 0 + 1/240*h**5 - 1/24*h**3 + 0*h - 1/96*h**4. Factor i(j).
(j - 1)*(j + 1)**2/4
Let s(o) be the third derivative of 5*o**8/336 + o**7/6 + 19*o**6/24 + 25*o**5/12 + 10*o**4/3 + 10*o**3/3 - 8*o**2. Factor s(w).
5*(w + 1)**3*(w + 2)**2
Suppose 0 = 4*l - 4*m, -20 = -5*l + m - 6*m. What is d in 17*d**2 - d**2 + 2*d**4 - 8*d**3 - 8*d**l = 0?
0, 2
Let j(n) be the second derivative of n**4/4 - n**3 - 9*n**2/2 - 20*n. Factor j(r).
3*(r - 3)*(r + 1)
Let c(k) be the first derivative of k**3/6 - k**2/4 - 11. Suppose c(p) = 0. Calculate p.
0, 1
Let j(q) be the first derivative of q + 0*q**2 + 1/6*q**3 - 1/20*q**5 - 1 + 0*q**4. Let f(u) be the first derivative of j(u). Factor f(y).
-y*(y - 1)*(y + 1)
Let f be (-10)/8*4/(-120). Let v(i) be the third derivative of 0*i + 0 + i**2 + f*i**4 + 1/120*i**6 + 0*i**3 - 1/30*i**5. Factor v(z).
z*(z - 1)**2
Let v = -9 - -11. Determine l, given that v*l**2 + 0*l - l + 5*l = 0.
-2, 0
Let w(q) be the third derivative of -q**6/480 + q**5/120 - q**4/96 + 11*q**2. What is j in w(j) = 0?
0, 1
Let v(y) be the second derivative of y**7/63 - 2*y**6/45 + y**4/9 - y**3/9 - 38*y. Factor v(m).
2*m*(m - 1)**3*(m + 1)/3
Let r be (-960)/5040*1/(-3)*7. Determine u, given that -22/9*u**2 + 2/3*u - 2/3*u**3 + 2*u**4 + r = 0.
-1, -1/3, 2/3, 1
Let v(r) be the third derivative of r**6/720 + 5*r**3/6 + 2*r**2. Let d(l) be the first derivative of v(l). Find f, given that d(f) = 0.
0
Let m(u) be the third derivative of 5*u**6/84 + u**5/21 + u**4/84 + 6*u**2. Factor m(d).
2*d*(5*d + 1)**2/7
Let n(o) = o**3 - o**2 - o + 1. Let x(b) = 5*b**2 - 8*b**3 - 16*b**2 - 36 + 6*b**2 - 44*b - 15*b**2. Let f(h) = 4*n(h) + x(h). What is r in f(r) = 0?
-2
Let f(y) be the first derivative of -y**6/30 - 2*y**5/5 - 9*y**4/5 - 18*y**3/5 - 27*y**2/10 - 20. Factor f(b).
-b*(b + 1)*(b + 3)**3/5
What is f in -3*f + 3*f**2 + 1 + 3*f**3 - 14*f**3 + 10*f**3 = 0?
1
Let j(p) be the third derivative of -p**5/45 - 2*p**4/9 - 8*p**3/9 - 9*p**2. Suppose j(o) = 0. Calculate o.
-2
Let d(o) be the first derivative of -5*o**3/3 - 35*o**2/2 + 40*o - 55. Factor d(z).
-5*(z - 1)*(z + 8)
Find m, given that -4/7*m**3 + 2/7*m**4 + 1/7*m**5 + 3/7*m + 0 - 2/7*m**2 = 0.
-3, -1, 0, 1
Let s(x) be the second derivative of -x**4/96 + x**3/16 + x**2/4 + 28*x. Factor s(k).
-(k - 4)*(k + 1)/8
Let t(s) be the third derivative of 0 - 2*s**2 + 7/60*s**4 + 7/150*s**5 + 2/15*s**3 + 1/150*s**6 + 0*s. Factor t(b).
2*(b + 1)*(b + 2)*(2*b + 1)/5
Let v(m) be the third derivative of 0*m -