o**3.
-3*o*(o + 1)**2*(3*o - 2)
Suppose -5*q + 14 = -3*t, 12 = 2*t + q + q. Factor -1/4*w - 1/4 + 1/4*w**3 + 1/4*w**t.
(w - 1)*(w + 1)**2/4
Let j(i) be the first derivative of i**4/4 + 7*i**3/6 + i**2 + i - 4. Let q(n) be the first derivative of j(n). Suppose q(w) = 0. Calculate w.
-2, -1/3
Let w = -25 - -25. Let x be 2 - -4*(-6)/14. Factor -x*s**4 + 2/7*s**2 - 2/7*s**5 + w + 2/7*s**3 + 0*s.
-2*s**2*(s - 1)*(s + 1)**2/7
Let d(t) be the third derivative of t**5/6 - 5*t**4/8 + 5*t**3/6 + 8*t**2. Suppose d(s) = 0. What is s?
1/2, 1
Let s(w) be the second derivative of 1/10*w**5 - 1/3*w**3 - 1/2*w**2 + 6*w - 1/10*w**6 + 0 + 1/3*w**4. Suppose s(v) = 0. What is v?
-1, -1/3, 1
Let i(q) = 5*q**4 - 3*q**3 - 5*q**2 - 5*q + 4. Let p(b) = 4*b**4 - 2*b**3 - 4*b**2 - 4*b + 3. Let t be 3/(2 - -7)*12. Let k(y) = t*p(y) - 3*i(y). Factor k(u).
u*(u - 1)*(u + 1)**2
Let d(n) = 2*n - 6. Let i be d(3). Let f(w) be the third derivative of 3*w**2 + 0*w + 0*w**6 + 0*w**7 + i*w**5 + 0*w**3 + 0 - 1/1344*w**8 + 0*w**4. Factor f(o).
-o**5/4
Let b = 135 + -1349/10. Let n(h) be the second derivative of b*h**5 - 1/15*h**6 + 1/6*h**4 - 1/3*h**3 + 4*h + 0*h**2 + 0. Factor n(u).
-2*u*(u - 1)**2*(u + 1)
Let p be 2/(-12) - 130/(-60). Let t(y) be the first derivative of 2/3*y**3 - 1/2*y**4 + 0*y**p + 0*y + 1. Factor t(q).
-2*q**2*(q - 1)
Let b(p) be the third derivative of 0*p**4 + 0 - 1/240*p**5 - 1/720*p**6 + 0*p - 4*p**2 - 1/2*p**3. Let h(u) be the first derivative of b(u). Solve h(r) = 0.
-1, 0
Suppose l + 3*a = -1, 2*a - 34 = l - 6*l. Suppose i - 2*q = -i, -q = -5*i + l. Factor -2*m**2 + 2*m - i*m + 0*m + m**3.
m**2*(m - 2)
Let j(q) be the second derivative of 2/65*q**5 + 0 + 1/13*q**4 + 1/13*q**2 + 4/39*q**3 + q + 1/195*q**6. Factor j(p).
2*(p + 1)**4/13
Let c(l) be the third derivative of 1/15*l**5 + 1/36*l**6 + 1/315*l**7 - 1/9*l**4 - 8/9*l**3 + 0*l + 0 - 5*l**2. Factor c(w).
2*(w - 1)*(w + 2)**3/3
Solve 0 - 2/11*s**3 - 6/11*s + 8/11*s**2 = 0.
0, 1, 3
Let z = -1 + 5. Let a(j) be the second derivative of 1/10*j**5 - 2/45*j**6 + 1/126*j**7 + 0 + 0*j**2 - 2*j - 1/9*j**z + 1/18*j**3. Factor a(f).
f*(f - 1)**4/3
Let x(h) be the third derivative of -h**7/105 + h**6/60 + h**5/15 + 6*h**2. Determine f so that x(f) = 0.
-1, 0, 2
Let v = 4 + 0. Suppose 8 = -4*j + 4*p, v*j = j - 4*p + 22. Factor -j*u**3 - 32/7*u**2 - 8/7*u + 0.
-2*u*(u + 2)*(7*u + 2)/7
Suppose -26 = -2*s - 8. Determine n, given that 12/5 - 12/5*n - s*n**2 = 0.
-2/3, 2/5
Let f(r) = -r**5 - 3*r**4 - 2*r**3 - 3*r**2 + 3*r + 3. Let h(n) = n**5 + 5*n**4 + 4*n**3 + 5*n**2 - 5*n - 5. Let c(b) = -5*f(b) - 3*h(b). Factor c(u).
2*u**3*(u - 1)*(u + 1)
Let b be (-1)/(-2) - 18/(-4). Suppose 2*n - b*n = -9. Find m, given that m + m**5 + 3 - 2*m**n - 3 = 0.
-1, 0, 1
Let f be ((-12)/7)/((-7)/98). Solve f*p**2 - 4*p**3 - 4*p**4 + 0*p**4 - 22*p**2 + 6*p**4 = 0.
0, 1
Let k(u) be the first derivative of 7/10*u**5 + 2 + 0*u**3 - u + 0*u**2 + 1/3*u**4. Let o(d) be the first derivative of k(d). Factor o(c).
2*c**2*(7*c + 2)
Let s(q) = 5*q**4 + 11*q**3 + 11*q**2 + 5*q. Let g(i) = -5*i**4 - 10*i**3 - 10*i**2 - 5*i. Let p(v) = -4*g(v) - 5*s(v). Factor p(f).
-5*f*(f + 1)**3
Let y(l) be the first derivative of 1/6*l**3 - 3 + 0*l + 1/10*l**5 + 0*l**2 - 1/4*l**4. Factor y(a).
a**2*(a - 1)**2/2
Let f = -217 + 220. Suppose 0*a**2 + 2/13*a**4 + 0 + 0*a - 2/13*a**f = 0. What is a?
0, 1
Let m(d) = 3*d**3 - 2*d + 1. Let h be m(1). Let g be -1*-3*(1 + 0). Factor -3*u**2 - 2*u**4 + 4*u**4 + 5*u**h + u**4 + 5*u**g.
u**2*(u + 1)*(3*u + 2)
Let f(d) be the third derivative of 1/36*d**4 + 1/9*d**3 - 1/180*d**6 + 0 + 5*d**2 - 1/90*d**5 + 0*d. Suppose f(u) = 0. What is u?
-1, 1
Suppose 5*i = i - 24. Let z be 49/(-14)*i/14. Determine r so that 0*r + 1/2*r**3 - z*r**2 + 2 = 0.
-1, 2
Let r(x) be the second derivative of x**9/7560 - x**8/1680 + x**7/1260 - x**4/6 + x. Let u(c) be the third derivative of r(c). Suppose u(d) = 0. Calculate d.
0, 1
Determine p so that -6*p**2 - 6*p + 4*p**4 + 16*p**3 - 16 + 18*p**2 - 10*p = 0.
-2, -1, 1
Let u(v) be the second derivative of 0*v**5 + 0 + 3*v - 1/15*v**6 + 0*v**4 + 0*v**2 - 1/21*v**7 + 0*v**3. Determine d so that u(d) = 0.
-1, 0
Let x(i) be the first derivative of -i**3 - 3*i**2/2 + 4. Find f such that x(f) = 0.
-1, 0
Let x(j) = 6*j - 8. Let w(d) = d**2 - d. Let f(m) = -m**3 - 3*m**2 + 5*m + 5. Let b be f(-4). Let h(l) = b*x(l) - 2*w(l). Factor h(i).
-2*(i - 2)**2
Let l(w) = w**2 - 4*w - 8. Let o be l(6). Suppose -o*i = -3 - 5. Find v such that 3*v + i*v**2 - 3*v - 2*v**4 = 0.
-1, 0, 1
Factor 2/7*l**3 + 30/7*l - 2*l**2 - 18/7.
2*(l - 3)**2*(l - 1)/7
Let v = -7750/19 + 408. Determine m so that 0*m - v*m**5 - 6/19*m**3 + 0 - 6/19*m**4 - 2/19*m**2 = 0.
-1, 0
Let q = -13 + 29. Factor -32*g - q - 4*g**3 - 3*g**2 - 17*g**2 - 4*g**2 + 4*g**2.
-4*(g + 1)*(g + 2)**2
Find s, given that 2/7*s**2 - 8/7*s - 2/7 + 8/7*s**3 = 0.
-1, -1/4, 1
Suppose 0 = -z + 2*z + 3*x - 14, -22 = -5*z - 3*x. Factor 7*u + 0*u - z*u**2 - 11*u.
-2*u*(u + 2)
Suppose 5*m + 455 - 5*m**3 - 455 = 0. What is m?
-1, 0, 1
Let a(k) be the second derivative of k**6/160 - k**5/80 - k**4/32 + k**3/8 + k**2/2 + 2*k. Let c(u) be the first derivative of a(u). Factor c(v).
3*(v - 1)**2*(v + 1)/4
Let u = -75 - -77. Factor 24/7*p + 12/7*p**3 - 2/7*p**4 - 8/7 - 26/7*p**u.
-2*(p - 2)**2*(p - 1)**2/7
Let h(f) be the third derivative of 1/30*f**4 + f**2 - 1/150*f**6 + 0*f**5 + 0*f + 0 + 1/525*f**7 - 1/15*f**3. Factor h(a).
2*(a - 1)**3*(a + 1)/5
Let x = 8 + -4. Let 0*c**3 + 2*c - x*c**2 + 4 + 0 - 2*c**3 = 0. What is c?
-2, -1, 1
Let l be (9/2)/(675/36). Let p(g) be the first derivative of l*g**5 + 2/15*g**3 + 1 + 1/2*g**4 + 0*g - 1/5*g**2. Factor p(a).
2*a*(a + 1)**2*(3*a - 1)/5
Let n(x) be the second derivative of -5*x**4/12 - 5*x**3/6 + 12*x. Determine z, given that n(z) = 0.
-1, 0
Let v(x) be the first derivative of 1/36*x**4 + 0*x + 2 + 2/45*x**5 + 0*x**3 - 1/2*x**2. Let y(b) be the second derivative of v(b). Factor y(r).
2*r*(4*r + 1)/3
Let h(v) be the third derivative of -1/540*v**6 + 5*v**2 + 0*v + 0*v**5 + 0*v**3 + 0*v**4 - 1/945*v**7 + 0. Factor h(p).
-2*p**3*(p + 1)/9
Let v(y) be the third derivative of y**6/280 - y**5/70 - y**4/56 + y**3/7 - 24*y**2. Let v(f) = 0. Calculate f.
-1, 1, 2
Factor -100 + 108/5*h**3 - 108*h**2 + 180*h.
4*(3*h - 5)**3/5
Let d(b) be the second derivative of b**5/40 - b**4/48 + 3*b**2/2 + 8*b. Let u(q) be the first derivative of d(q). Factor u(m).
m*(3*m - 1)/2
Let o(x) be the first derivative of x**6/2 - 10. Find r, given that o(r) = 0.
0
Let c(i) be the first derivative of 4 + 2/9*i**3 - 1/5*i**5 + 1/3*i - 1/18*i**6 - 1/6*i**4 + 1/2*i**2. Factor c(t).
-(t - 1)*(t + 1)**4/3
Let u(c) be the first derivative of -7 + 1/10*c**5 - 1/6*c**2 + 0*c + 1/4*c**6 - 23/24*c**4 + 13/18*c**3. What is l in u(l) = 0?
-2, 0, 1/3, 1
Factor 0 - 2/3*j**2 + 0*j - 1/3*j**3 + 1/3*j**4.
j**2*(j - 2)*(j + 1)/3
Let b(u) = u**3 + 6*u**2 - 6*u + 10. Let z be b(-7). Let v be (-7)/(-14) - 1/z. Factor 0 - v*p**3 + 0*p**2 + 0*p - 1/6*p**4.
-p**3*(p + 1)/6
Suppose -4*q = 39 - 47. Factor 0*m + 0 - 8/3*m**4 - 5/3*m**5 + 2/3*m**q - 1/3*m**3.
-m**2*(m + 1)**2*(5*m - 2)/3
Let f(h) be the third derivative of -h**5/60 - h**4/8 - h**3/3 - 41*h**2. Solve f(d) = 0 for d.
-2, -1
Let l = 28 - 25. Suppose -2*b + 4*x = -8, -l*b - 5*x - 13 = -3. Factor -1/2*v**2 + v**3 - 1/2*v**4 + 0*v + b.
-v**2*(v - 1)**2/2
Let w(k) = -k**3 - 4*k**2 - 5*k - 7. Let h(z) = -4*z**2 - z**2 - z**3 + z**2 - 8 - 2*z - 3*z. Let v(b) = 5*h(b) - 6*w(b). Find g such that v(g) = 0.
-2, -1
Let u(h) be the first derivative of h**6/21 + 22*h**5/35 + 23*h**4/7 + 60*h**3/7 + 81*h**2/7 + 54*h/7 - 2. Factor u(o).
2*(o + 1)**2*(o + 3)**3/7
Let d(j) = -4*j**2 - 24*j + 56. Let i(s) = -s + 1. Let k(u) = d(u) - 8*i(u). Factor k(p).
-4*(p - 2)*(p + 6)
Let k(m) = m**2 + m + 1. Suppose 2*s + 3 = -v + 1, 3*s = 3*v - 21. Let t(a) = 18*a**3 + 33*a**2 + 17*a + 5. Let r(f) = s*k(f) + t(f). Factor r(w).
2*(w + 1)*(3*w + 1)**2
Let n(t) be the third derivative of 0 + 0*t + 13/96*t**4 - 1/12*t**3 - 1/12*t**5 + t**2 + 3/160*t**6. Factor n(w).
(w - 1)**2*(9*w - 2)/4
Factor 0*u - 3*u**2 + 0 + 3/4*u**3.
3*u**2*(u - 4)/4
Let m(l) be the first derivative of -l**3 + 9*l**2 - 27*l - 2. Factor m(y).
-3*(y - 3)**2
Suppose 4*v + 18 = 2*q, 0 = 4*q