 + 115*g**4/4 - 140*g**3/3 + 30*g**2 + 25. Factor y(p).
5*p*(p - 3)*(p - 2)**2*(p - 1)
Let l = 15 - -6. Let f be 48/l - 4/14. Factor -2*b + f*b + 2*b + 2*b**2.
2*b*(b + 1)
Let m(j) be the second derivative of j**8/112 - j**7/40 + j**6/60 - j**3/6 + 5*j. Let p(z) be the second derivative of m(z). Factor p(o).
3*o**2*(o - 1)*(5*o - 2)
Factor -3/5*v - 3/5*v**2 + 0.
-3*v*(v + 1)/5
Let s(j) be the first derivative of -3 - 5*j**2 + 20/3*j**3 + 2*j**5 - 1/3*j**6 - 5*j**4 + 2*j. Solve s(m) = 0 for m.
1
Let l(i) be the second derivative of -i**5/10 - 2*i**4/3 - 5*i**3/3 - 2*i**2 - 12*i. Factor l(n).
-2*(n + 1)**2*(n + 2)
Let p(s) be the second derivative of s**5/80 - s**4/24 + s**3/24 - 7*s. Determine q so that p(q) = 0.
0, 1
Determine q, given that -1/2*q**2 + 1/2 - 1/2*q**3 + 1/2*q = 0.
-1, 1
Let n(f) be the first derivative of f**4/28 + f**3/21 - f**2/14 - f/7 - 2. Factor n(j).
(j - 1)*(j + 1)**2/7
Suppose 3*y - 2*z = 3, z - 4 = -y + 2. Determine g so that 3*g**5 - y*g**5 + g**2 - 13*g**3 + 9*g + 2 - 3*g**4 + 4*g**5 = 0.
-1, -1/4, 1, 2
Let l = 95 - 95. Let x(d) be the first derivative of 1/2*d**6 + 0*d**2 - 1 + 9/4*d**4 + d**3 + l*d + 9/5*d**5. Solve x(p) = 0 for p.
-1, 0
Let q = 8497/2612 - 2/653. Let a = -2 + q. Determine h so that -1/4*h**5 - 5/2*h**3 + 5/4*h**4 + 5/2*h**2 + 1/4 - a*h = 0.
1
Let t(d) = 4*d**5 + d**4 - 6*d**3 + 10*d**2 - d - 8. Let y(f) = -3*f**5 + 5*f**3 - 10*f**2 + 8. Let i(j) = -4*t(j) - 5*y(j). What is h in i(h) = 0?
-2, 1
Let w(h) be the third derivative of 0 + 0*h + 0*h**3 + 4*h**2 + 1/6*h**4 + 1/30*h**5. Factor w(y).
2*y*(y + 2)
Let m(i) be the first derivative of 0*i**3 + 0*i - 1/36*i**4 - 1/2*i**2 - 2 + 1/90*i**5. Let r(b) be the second derivative of m(b). What is z in r(z) = 0?
0, 1
Suppose -5 = 7*m - 2*m. Let a = m + 6. Find k, given that -2*k**4 + 0*k**4 + 0*k**a - 2*k**5 = 0.
-1, 0
Suppose 0 = -2*l - 6*l - 6*l. Suppose -1 + 17 = 4*h + 5*g, h - 4 = -2*g. Factor 1/2*w**h + w**3 - w - 1/2 + l*w**2.
(w - 1)*(w + 1)**3/2
Let v be (-5352)/(-88) - 2/(-11). Factor 2*o**5 + 2*o**5 - 65*o**3 + v*o**3.
4*o**3*(o - 1)*(o + 1)
Let j(r) be the second derivative of r**9/4536 + r**8/1260 + r**7/1260 - r**3/2 + 2*r. Let v(z) be the second derivative of j(z). Suppose v(i) = 0. What is i?
-1, 0
Let u(d) be the third derivative of -d**5/15 + 2*d**4/3 + d**2 + d. Let u(s) = 0. Calculate s.
0, 4
Suppose 4 + 7*m**2 + 10*m + 3/2*m**3 = 0. What is m?
-2, -2/3
Find s, given that -12*s + 2*s**2 - 100 - 12*s + 4*s - 3*s**2 = 0.
-10
Let q(m) be the first derivative of 7*m**5/15 - 5*m**4/12 - 16*m**3/9 - 2*m**2/3 + 11. Factor q(f).
f*(f - 2)*(f + 1)*(7*f + 2)/3
Let r(x) be the third derivative of 2*x**7/735 - x**6/70 + 13*x**5/420 - x**4/28 + x**3/42 + x**2. Solve r(h) = 0.
1/2, 1
Let k(z) be the third derivative of -z**7/1680 + z**6/720 + z**5/120 - z**3/6 - z**2. Let i(c) be the first derivative of k(c). Find o, given that i(o) = 0.
-1, 0, 2
Let f = 18 - 16. Let h(q) be the third derivative of 2/15*q**3 - 1/525*q**7 - 1/100*q**6 - 1/150*q**5 + 0 + 0*q - q**f + 1/20*q**4. Let h(g) = 0. Calculate g.
-2, -1, 1
Let a = 19 - 16. Let 1/2*l + 1/4 + 0*l**2 - 1/2*l**a - 1/4*l**4 = 0. Calculate l.
-1, 1
Let -10*u - 9 - 12 - 30*u**2 + 55*u + 1 + 5*u**3 = 0. Calculate u.
1, 4
Determine p so that 4/9*p**3 + 0 + 0*p - 8/9*p**2 = 0.
0, 2
Factor -5*w + 0*w + 3*w + w**2.
w*(w - 2)
Suppose -r - 1 = -6. Suppose 0 = r*q + 5 - 20. Factor -1/2*o + 1/2 + 1/2*o**q - 1/2*o**2.
(o - 1)**2*(o + 1)/2
Let y(x) = x**3 - 5*x**2 + 3. Let n be y(5). Suppose -2*d - 3*d - 1 = -a, -4*d = 3*a - n. Find r such that d*r - 2/7*r**2 + 0 = 0.
0
Let r(n) = n + 1. Let o be r(-1). Factor t**2 + o*t - t + 2*t.
t*(t + 1)
Determine y so that 2/3*y**3 - 1/3*y - 2/3*y**4 + 4/3*y**2 - 2/3 - 1/3*y**5 = 0.
-2, -1, 1
Let b = 25 - 22. Let a(w) be the first derivative of 6/5*w**2 - 3 - 2/3*w**b - 2/5*w. Factor a(t).
-2*(t - 1)*(5*t - 1)/5
Determine o so that 4/11*o + 2/11*o**2 + 0 = 0.
-2, 0
Let j(y) be the first derivative of -12*y**2 + 4 + 6 + 48*y + 8*y**3 - 7*y**3 - 1. Find c, given that j(c) = 0.
4
Let t(a) be the third derivative of -a**8/1344 - a**7/840 + a**6/480 + a**5/240 + 14*a**2. Find x, given that t(x) = 0.
-1, 0, 1
Factor 0 - 1/4*w**2 + 3/2*w - 1/4*w**3.
-w*(w - 2)*(w + 3)/4
Let u(v) = 4*v - 14. Let t be u(7). Solve -5*p**2 - 5*p**2 + 11*p**2 + 6*p - 5 + t = 0.
-3
Let y(d) = d**4 + 24*d**3 - 92*d**2 + 120*d - 50. Let x(t) = 3*t**4 + 48*t**3 - 184*t**2 + 240*t - 100. Let m(p) = 6*x(p) - 14*y(p). Factor m(i).
4*(i - 5)**2*(i - 1)**2
Factor 44*d**3 + d**2 - 12*d - 5*d**2 - 4*d**4 + 8 - 32*d**3.
-4*(d - 2)*(d - 1)**2*(d + 1)
Let u = 74357 - 6766555/91. Let p = u + 32/13. Factor p*f + 2/7 + 10/7*f**2.
2*(f + 1)*(5*f + 1)/7
Let s = 2/261 - -85/261. Find m such that 1/3*m**3 + 1/3*m**2 - 1/3*m - s = 0.
-1, 1
Let 12/17*a**2 + 8/17*a - 16/17 - 10/17*a**3 + 2/17*a**4 = 0. Calculate a.
-1, 2
Let z(b) = -b**3 - 5*b**2 + 5*b - 6. Let l be z(-6). What is g in 2/5*g**2 + 0 - 6/5*g**3 - 2/5*g**5 + l*g + 6/5*g**4 = 0?
0, 1
Let z(t) be the second derivative of -t**8/47040 + t**7/8820 - t**6/5040 + t**4/4 - 3*t. Let c(b) be the third derivative of z(b). Factor c(g).
-g*(g - 1)**2/7
Let t be 0 - (-10 + 184/20). Factor 13/5*r**2 - r**3 - 4/5 - t*r.
-(r - 2)*(r - 1)*(5*r + 2)/5
Let u be 8/(-3)*9/(-36). Determine z, given that -u*z**2 - 2/3 + 4/3*z = 0.
1
Let c(u) = u - 6. Suppose -3*y - 2*s = 2*s + 2, 3*s = -2*y - 3. Let a be c(y). Determine r so that -2/3*r**4 - 2/3*r**3 + a + 2/3*r + 2/3*r**2 = 0.
-1, 0, 1
Let d(f) = -4*f**4 + 5*f**2 - 3*f - 7. Let w(y) = 12*y**4 - 14*y**2 + 10*y + 22. Let c(z) = 10*d(z) + 3*w(z). Factor c(m).
-4*(m - 1)**2*(m + 1)**2
Factor 0 + 4/5*o - 1/5*o**2.
-o*(o - 4)/5
Let x(h) be the third derivative of -h**8/84 + 4*h**7/105 + h**6/10 - 4*h**5/15 - 2*h**4/3 + 8*h**2. Factor x(p).
-4*p*(p - 2)**2*(p + 1)**2
Let c(s) be the second derivative of 0 - 2/15*s**3 - 1/30*s**4 + 4*s + 0*s**2. Factor c(g).
-2*g*(g + 2)/5
Let a(s) = 2*s**2. Let r be a(-1). Find u, given that 9*u**5 + u**r + 12*u**4 + u**3 - 4*u**3 - 7*u**2 = 0.
-1, 0, 2/3
Let f(n) be the third derivative of 7*n**2 + 0*n**4 + 0 + 1/180*n**6 + 0*n**3 - 1/315*n**7 - 1/270*n**5 + 0*n + 1/1512*n**8. Factor f(w).
2*w**2*(w - 1)**3/9
Let l(a) = -a**3 - a**2 + a. Let d be l(-2). Let -9*b - 2 + 40*b**d - 32*b**3 + 0 - 7*b + 4 = 0. Calculate b.
1/4, 1/2
Let k(y) = 2 + 15*y**4 + 15*y**3 + 2*y**2 + 3*y**5 - 5*y**2 + 4. Let j(h) = -6*h**5 - 31*h**4 - 31*h**3 + 7*h**2 - 13. Let r(v) = 6*j(v) + 13*k(v). Factor r(s).
3*s**2*(s + 1)**3
Let l = 7 - 7. Let t be 4/(-10) + (-22)/(-5). Factor q**t + l*q + 4*q - 4*q + q**2 + 2*q**3.
q**2*(q + 1)**2
Factor -19*k**4 - 4*k**2 + 3*k**3 + 23*k**4 - 9*k**3.
2*k**2*(k - 2)*(2*k + 1)
Let b(h) be the first derivative of h**4/30 - 14*h**3/45 + h**2 - 6*h/5 - 28. Factor b(o).
2*(o - 3)**2*(o - 1)/15
Let 0 + 1/2*o**3 + 0*o + o**2 = 0. Calculate o.
-2, 0
Suppose q + 10 = 3*q. Suppose -3 - 12 = -q*l. Let -3*m**2 + 3*m**4 + m**3 - 2*m**3 + l*m - 2*m**3 = 0. Calculate m.
-1, 0, 1
Suppose -1/8*r**4 + 1/2*r - 3/8*r**3 + 0*r**2 + 0 = 0. Calculate r.
-2, 0, 1
Let g(l) be the second derivative of l**6/5 - 9*l**5/20 + l**3/2 + 5*l. Factor g(f).
3*f*(f - 1)**2*(2*f + 1)
Let l(d) = 2*d**3 + d**2 - 2*d. Let g(x) = -2*x**3 - x**2 + 3*x. Suppose 0 = 4*a - 2*a - 4. Let i(t) = a*g(t) + 3*l(t). Suppose i(f) = 0. What is f?
-1/2, 0
Factor 0*h**2 + 2/7*h + 0 - 2/7*h**3.
-2*h*(h - 1)*(h + 1)/7
Suppose 3*d = -i - 5, -3*i = d + 1 - 10. Solve -z**4 + 5*z**4 - 4*z**4 - z**2 + z**i = 0.
-1, 0, 1
Factor -6/7*d**3 - 4/7*d**2 + 0 - 1/7*d - 4/7*d**4 - 1/7*d**5.
-d*(d + 1)**4/7
Let l(h) = -2*h**3 + 8*h**2 - 2*h. Let t(u) = -3*u**3 + 15*u**2 - 3*u. Let g(s) = -s - 14. Let a be g(-7). Let q(c) = a*l(c) + 4*t(c). Factor q(m).
2*m*(m + 1)**2
Let n be ((-104)/117)/(4/(-6)). Find f, given that -1/3*f**2 - 4/3 - n*f = 0.
-2
Let w(r) be the first derivative of -5*r**6/6 + 6*r**5 - 35*r**4/2 + 80*r**3/3 - 45*r**2/2 + 10*r + 18. Suppose w(x) = 0. What is x?
1, 2
Let a(v) be the second derivative of -5*v**4/18 - 4*v**3/3 - 4*v**2/3 + 2*v. Let a(h) = 0. What is h?
-2, -2/5
Let f(w) = 11*w**4 + 11*w**3 + w**2 + w. Let r(o) = 10*o**4 + 10*o**3. Let l(s) = 5*f(s) - 6*r(s). Factor l(h).
-5*h*(h - 1)*(h + 1)**2
Let z be (-11 + 9)/(1*(-6)/6). Factor 2/