*(g + 1)**2*(g + 2)
Suppose -2*x - 7*x = 0. Let o(m) be the second derivative of -1/40*m**5 + x*m**2 - m - 1/12*m**3 + 0 + 1/12*m**4. Factor o(c).
-c*(c - 1)**2/2
Suppose 6*c - 3*c = -4*p, 5*p - 27 = 3*c. Factor -5*r**2 + r**2 - 5*r**2 + 3*r**2 + p*r**3.
3*r**2*(r - 2)
Let w(v) be the second derivative of 0*v**2 - 1/360*v**6 + 1/6*v**3 - 1/12*v**4 + 0 - 1/40*v**5 - v. Let a(h) be the second derivative of w(h). Factor a(s).
-(s + 1)*(s + 2)
Let i(h) be the third derivative of -h**7/595 - 2*h**6/255 - h**5/85 + h**3/51 + 18*h**2. Let i(r) = 0. What is r?
-1, 1/3
Factor 9/5*t - 9/5*t**2 - 3/5 + 3/5*t**3.
3*(t - 1)**3/5
Let h(w) = -w**3 - 15*w**2 - 16*w - 25. Let d be h(-14). Factor 1/3*c**d + 1/3*c**2 + 0*c + 0.
c**2*(c + 1)/3
Let k(p) be the second derivative of p**9/75600 + p**8/11200 - p**6/900 - p**4/6 + 3*p. Let x(j) be the third derivative of k(j). Factor x(c).
c*(c - 1)*(c + 2)**2/5
Let g(a) be the third derivative of a**7/1260 - a**6/120 - 7*a**5/360 - 6*a**2. Solve g(d) = 0.
-1, 0, 7
Let i be (-20 - -8)*2/(-4). Suppose i*l**3 + 8/3*l**4 + 0 + 4/3*l**2 + 0*l = 0. Calculate l.
-2, -1/4, 0
Determine c, given that 5 + 6/5*c**2 - 8*c + 1/5*c**4 + 8/5*c**3 = 0.
-5, 1
Determine r, given that r**2 - 4/7 + 4/7*r - 10/7*r**3 + 3/7*r**4 = 0.
-2/3, 1, 2
Let r(k) = 13*k**2 - 27*k + 21. Let q(f) = f**2 - f - 1. Suppose 4*t + 110 = 9*t. Let s(n) = t*q(n) - 2*r(n). Factor s(b).
-4*(b - 4)**2
Let x be (2/(-24))/(2/3)*-6. Determine r, given that 1/4*r**3 - 1/4*r - 3/4*r**2 + 0 + x*r**4 = 0.
-1, -1/3, 0, 1
Suppose 0 = 29*k - 25*k. Let w(y) be the third derivative of 0*y**3 + 0 + 1/240*y**5 + k*y - 3*y**2 + 1/96*y**4. Let w(v) = 0. Calculate v.
-1, 0
Solve 3/4*m**2 - 3/4 + 0*m = 0 for m.
-1, 1
Suppose 2*m - 1 = 5. Factor m*v**3 + 4*v**2 - 12*v**2 + 24*v**4 - 2*v + 3*v**3 - 2*v**3 - 18*v**5.
-2*v*(v - 1)**2*(3*v + 1)**2
Let c be 4 - 4 - 4 - -7. Let -1/4*h**2 + 0 + 0*h - 1/4*h**4 - 1/2*h**c = 0. Calculate h.
-1, 0
Let g(s) be the first derivative of s**4/12 + s**3/3 + s**2/2 - 5*s - 5. Let l(a) be the first derivative of g(a). Solve l(h) = 0 for h.
-1
Let d be (-100)/150 - (0 + 16/(-6)). What is w in 2*w**d + 0 - 4/9*w - 28/9*w**4 - 2/3*w**3 = 0?
-1, 0, 2/7, 1/2
Let u(p) be the third derivative of 3*p**2 + 0*p**3 + 0*p**4 - 1/30*p**5 + 0*p + 0. Factor u(r).
-2*r**2
Let v(q) be the first derivative of 9/10*q**4 - 16/25*q**5 - 2 + 0*q + 1/6*q**6 - 8/15*q**3 + 1/10*q**2. Factor v(l).
l*(l - 1)**3*(5*l - 1)/5
Let f(u) be the first derivative of -u**4/16 + 2*u**3/3 - 2*u**2 + 10. Factor f(z).
-z*(z - 4)**2/4
Suppose 3*z + 2*g = 5*g - 6, 0 = -z + 3*g - 10. Factor 20*l**3 - 2*l - 9*l**2 + 29*l**2 + z + 11*l + l + 10*l**4 + 2*l**5.
2*(l + 1)**5
Let f(j) be the third derivative of -2*j**7/735 + j**6/210 + 16*j**2. Factor f(p).
-4*p**3*(p - 1)/7
Let j(t) be the first derivative of -t**8/336 + t**6/60 - t**4/24 + t**2/2 + 3. Let v(w) be the second derivative of j(w). Let v(u) = 0. Calculate u.
-1, 0, 1
Let h = 2/155 + 296/1085. Factor h + 2/7*v - 2/7*v**2 - 2/7*v**3.
-2*(v - 1)*(v + 1)**2/7
Suppose 6 = -3*i, -4*k + 2*i + 2*i + 28 = 0. Suppose -4*p = -k + 1. Factor 3 - p + 0*b**2 + 4*b**3 + 10*b**2 + 8*b.
2*(b + 1)**2*(2*b + 1)
Factor 5*r**4 - 2*r**4 - 5*r**4 + 8*r**3 + 2*r**2 - 10*r**2.
-2*r**2*(r - 2)**2
Let r be (1 - 2)*(7 + -11). Let v(g) be the second derivative of -1/42*g**r + 3*g + 0 - 1/70*g**5 + 1/21*g**3 + 1/7*g**2. Factor v(x).
-2*(x - 1)*(x + 1)**2/7
Let i(x) = -x**2 - 15*x - 24. Let c be i(-13). Find m, given that -3/2*m**4 - m + 2*m**c - 1/2 + m**3 = 0.
-1, -1/3, 1
Factor 2/3*k + 0 + 1/3*k**2.
k*(k + 2)/3
Let c be 2/(-6) + 11/15. Let x(s) = s**2 + 7*s - 8. Let f be x(-8). Find r such that 0 + f*r - 2/5*r**2 - c*r**3 = 0.
-1, 0
Let d(k) = -12*k**2 + 124*k + 32. Let r(z) = 11*z**2 - 124*z - 32. Let l(g) = 5*d(g) + 4*r(g). Let l(t) = 0. What is t?
-1/4, 8
Let o(z) be the second derivative of -z**7/63 + z**6/45 + z**5/15 - 5*z. Solve o(b) = 0 for b.
-1, 0, 2
Let a(f) be the first derivative of f**5/35 - f**4/28 - 2*f**3/21 - 1. Factor a(k).
k**2*(k - 2)*(k + 1)/7
Let s = 22/7 + -316/105. Let b = s + 11/30. Factor 0*k - 1/2*k**3 + 0 + k**4 + 0*k**2 - b*k**5.
-k**3*(k - 1)**2/2
Let l(s) be the first derivative of s**7/280 - s**6/120 - s**5/20 + 2*s**3/3 - 4. Let c(y) be the third derivative of l(y). Solve c(a) = 0.
-1, 0, 2
Find l, given that 5*l**3 - 9 - 5*l**2 - 5*l + 6*l**2 - 6 + 14*l**2 = 0.
-3, -1, 1
Let s = -65 + 67. Factor 0 - 4/9*x**3 + 2/3*x**5 + 0*x + 0*x**s - 2/9*x**4.
2*x**3*(x - 1)*(3*x + 2)/9
Suppose 0 + 2 = d. Let i(b) be the third derivative of -1/336*b**8 - 1/24*b**4 + 0*b + 0*b**5 + 1/60*b**6 - b**d + 0 + 0*b**3 + 0*b**7. Factor i(y).
-y*(y - 1)**2*(y + 1)**2
Suppose 4*z - z = 12. Suppose -l**3 - 5*l**4 - 3*l**3 + 5*l**3 + z*l**4 = 0. Calculate l.
0, 1
Solve -2/9 - 1/9*k + 1/9*k**3 + 2/9*k**2 = 0.
-2, -1, 1
Let b = -12 - -14. Find m, given that 44*m**b - 60*m**4 + 59*m**5 + 11 - 122*m**3 - 9*m**5 + 72*m + 5 = 0.
-1, -2/5, 1, 2
Let z be 4 - ((-6)/(-9))/((-5)/(-15)). Let 0 + 4/7*g + 2/7*g**3 - 6/7*g**z = 0. Calculate g.
0, 1, 2
Let j(d) be the third derivative of 2*d**7/105 + d**6/15 - 7*d**5/15 + 2*d**4/3 + 2*d**2. Factor j(c).
4*c*(c - 1)**2*(c + 4)
Let m(n) be the third derivative of -1/20*n**6 + 0 + 1/168*n**8 + 0*n**3 + 1/30*n**5 + n**2 + 1/6*n**4 + 0*n - 1/105*n**7. What is g in m(g) = 0?
-1, 0, 1, 2
Factor 0*s**4 + 6*s**2 - 2*s**4 + 8*s**2 - 2*s**2 - 8*s + 8*s**3 - 10.
-2*(s - 5)*(s - 1)*(s + 1)**2
Let w(o) be the first derivative of -o**2 + 1/40*o**6 - 1/8*o**4 + 1/60*o**5 - 1/6*o**3 + 0*o - 1. Let m(i) be the second derivative of w(i). Factor m(v).
(v - 1)*(v + 1)*(3*v + 1)
Suppose 0*w - 14/3*w**2 + 2/3*w**5 + 8/3 + 2*w**4 - 2/3*w**3 = 0. What is w?
-2, -1, 1
Let n(v) be the second derivative of -v**6/330 - v**5/55 + 8*v**3/33 + 8*v**2/11 - 8*v. Suppose n(t) = 0. Calculate t.
-2, 2
Suppose -6*a = -2*a + 5*w + 1, -4*w = 3*a + 1. Suppose -3*d + a = -11. Factor -9*v + 1 + v**d - 2*v**2 + 9*v.
(v - 1)**2*(v + 1)**2
Let l be 1656/(-2254)*(-14)/3. Find z, given that -18/7*z**2 - 8/7 - l*z = 0.
-2/3
Let n(a) be the third derivative of -5*a**7/504 + a**6/72 - a**5/120 - a**4/6 - 4*a**2. Let v(t) be the second derivative of n(t). Determine g so that v(g) = 0.
1/5
Factor -14 + 14 - 2*n**3 - 2*n**4.
-2*n**3*(n + 1)
Let u(r) be the second derivative of -r**7/10080 + r**6/960 - r**5/240 + r**4/4 - 4*r. Let y(c) be the third derivative of u(c). Determine a so that y(a) = 0.
1, 2
Let k(h) be the second derivative of h**5/20 + 7*h**4/48 - 7*h**3/12 + 3*h**2/8 + 8*h + 4. Factor k(c).
(c - 1)*(c + 3)*(4*c - 1)/4
Let w be ((-42)/(-35))/(2/(-20)). Let i be (21/14)/((-81)/w). Find j, given that -2/9 + i*j**2 + 0*j = 0.
-1, 1
Let m be ((-3)/(-2))/(-3 + 126/12). Let 3/5 - m*a**2 + 2/5*a = 0. What is a?
-1, 3
Let y(w) = -4*w**3 + 4*w**2 - 5*w - 5. Let n(s) = -2*s**3 + 2*s**2 - 2*s - 2. Let m(t) = -5*n(t) + 2*y(t). Factor m(c).
2*c**2*(c - 1)
Suppose 69 = 27*j - 66. Factor -1/2*u**j + 1/2*u + u**4 - u**2 + 0 + 0*u**3.
-u*(u - 1)**3*(u + 1)/2
Let i(f) = -f**3 + 4*f**2 - 2*f - 1. Suppose -2*y + 0 = -4. Let p(o) = -6*o - o + 7*o**y - 2*o**3 + 4*o - 2. Let u(l) = 5*i(l) - 3*p(l). Solve u(j) = 0 for j.
-1, 1
Suppose 0 = k - 0*k + 4*b + 14, 4*k + 2*b + 70 = 0. Let j be k/(-28)*42/36. Factor -1 + c - 1/2*c**3 + j*c**2 - 1/4*c**4.
-(c - 1)**2*(c + 2)**2/4
Let 4*g**3 - 15*g**3 - 52*g**4 - 8*g**2 - 16*g**5 - 33*g**3 = 0. Calculate g.
-2, -1, -1/4, 0
Let w be (-7)/((-21)/9) - 1. Solve 0*n + 0 - 1/2*n**3 - n**w = 0 for n.
-2, 0
Suppose -2*k = k - 6. Factor -2*v + 2*v**2 - 3*v**k + 0*v**2.
-v*(v + 2)
Factor 0 - 2/3*f**3 + 2/3*f**2 + 0*f.
-2*f**2*(f - 1)/3
Let z(d) = -d - 26. Let c be z(-26). Suppose 0*y + 2 = y. Factor 0 + c*r - 2/9*r**y + 2/9*r**4 + 0*r**3.
2*r**2*(r - 1)*(r + 1)/9
Let u = 172 - 170. Factor -1/2*m**u + 1/2*m**4 + 1/2*m + 0 - 1/2*m**3.
m*(m - 1)**2*(m + 1)/2
Solve 9*l**3 - 2*l**4 - 6*l - 16*l**2 - 16*l + 30*l + l**3 = 0.
0, 1, 2
Let l(x) be the third derivative of 1/30*x**5 + 0 - 1/8*x**4 - 2*x**2 + 1/6*x**3 + 1/60*x**6 + 1/336*x**8 - 1/70*x**7 + 0*x. Solve l(z) = 0 for z.
-1, 1
Let a(z) be the second derivative of z**6/90 + z**5/30 - z**3/9 - z**2/6 + 8*z. Factor a(b).
(b - 1)*(b + 1)**3/3
Let v(b) be the third derivative of -b**8/1512 + b**7/135 - b**6