3. Factor b(d).
2*d**3/9
Let y(m) be the second derivative of 0 - 1/120*m**6 + 0*m**3 + 3/80*m**5 - 4*m + 0*m**2 - 1/24*m**4. Let y(p) = 0. What is p?
0, 1, 2
Determine u so that -8/7*u**2 - 10/7*u - 2/7*u**3 - 4/7 = 0.
-2, -1
Let m(q) be the third derivative of q**7/735 + q**6/420 - 10*q**2. Suppose m(l) = 0. What is l?
-1, 0
Let c(f) be the second derivative of -1/4*f**4 - 2/5*f**6 + 0*f**2 - 2*f + 3/4*f**5 + 0 + 0*f**3. Suppose c(r) = 0. What is r?
0, 1/4, 1
Let m = 13 + -11. Solve 2*l**3 + l**2 + l**m - 8*l**3 + 6*l**4 - 2*l**5 = 0 for l.
0, 1
Suppose 26*g = 13*g + 39. Suppose -1/5*u**g + 0 + 0*u + 2/5*u**2 = 0. Calculate u.
0, 2
Let u(r) be the first derivative of 4*r**3/27 + 10*r**2/9 + 16*r/9 - 2. Factor u(x).
4*(x + 1)*(x + 4)/9
Let h(k) = -k**3 + k**2 + k - 1. Let x(r) = 8*r**3 - 11*r**2 - 3*r + 7. Suppose 9*f - 4*f = 10. Let u(v) = f*x(v) + 14*h(v). Let u(l) = 0. What is l?
0, 2
Solve -32*t**2 + 0 + 16/3*t + 56*t**4 + 49/3*t**5 + 88/3*t**3 = 0 for t.
-2, 0, 2/7
Let d(x) = 4*x + 99. Let m be d(-24). Determine n so that -n**m + 1/4*n + 3/4*n**2 + 0 = 0.
-1/4, 0, 1
Let x = -14 + 16. Let -1/2*m**3 + 0 + 0*m + 1/2*m**x = 0. Calculate m.
0, 1
Let s(q) be the second derivative of -4*q**6/165 - q**5/10 - 3*q**4/22 - q**3/33 + q**2/11 + 6*q. Solve s(y) = 0.
-1, 1/4
Suppose 89 = 5*n - 21. Factor 1 + 9*u**3 + 16*u**2 - 3*u**3 + 3 - 8*u + n*u.
2*(u + 1)**2*(3*u + 2)
Let l(z) be the third derivative of -z**9/20160 - z**8/3360 - z**7/1680 + z**5/60 + 9*z**2. Let v(i) be the third derivative of l(i). Let v(h) = 0. Calculate h.
-1, 0
Let x(d) be the first derivative of 1/2*d**3 - 2 + 3/4*d**2 - 3/8*d**4 - 3/10*d**5 + 0*d. Solve x(j) = 0 for j.
-1, 0, 1
Factor 5*b**2 + 45/2*b**3 + 0 + 0*b + 10*b**4.
5*b**2*(b + 2)*(4*b + 1)/2
Solve -5*r**2 - 4 - 2*r**4 - 6*r**3 - 8*r**2 - 5*r**2 - 4*r**3 - 14*r = 0 for r.
-2, -1
Let i(z) be the first derivative of 14/9*z**3 + 4*z - 8 - 23/3*z**2. Find p, given that i(p) = 0.
2/7, 3
Let a(y) be the third derivative of -y**8/1176 - y**7/49 - 37*y**6/210 - 11*y**5/21 + 25*y**4/28 + 125*y**3/21 - 9*y**2. Solve a(d) = 0 for d.
-5, -1, 1
Suppose -9*a - 3*a = 0. Let g(p) be the third derivative of 1/12*p**4 + 2/15*p**5 + 2*p**2 - 4/105*p**7 + a*p - 1/60*p**6 + 0 + 0*p**3. Let g(r) = 0. What is r?
-1, -1/4, 0, 1
Let r = 43 - 37. Let l(a) be the second derivative of 0*a**2 - 4*a + 9/50*a**r + 9/100*a**5 - 2/5*a**4 + 0 - 2/5*a**3. Let l(g) = 0. What is g?
-2/3, 0, 1
Let w(s) = -3*s**3 + 2. Let x(u) = -10*u**3 + 7. Let r(g) = 7*w(g) - 2*x(g). Let r(f) = 0. Calculate f.
0
Let h(o) be the second derivative of -o**7/210 + o**5/100 - 27*o. Find j such that h(j) = 0.
-1, 0, 1
Let r = 12 + -10. Suppose -x = -r*x + 2. Factor -1/7 + 0*u + 1/7*u**x.
(u - 1)*(u + 1)/7
Let i(u) be the second derivative of 7*u**7/360 + 7*u**6/90 + 2*u**5/15 - 5*u**4/6 + 10*u. Let a(p) be the third derivative of i(p). Factor a(t).
(7*t + 4)**2
Factor -4/9 + 0*w + 1/3*w**2 - 1/9*w**3.
-(w - 2)**2*(w + 1)/9
Let k(a) be the first derivative of a**8/112 + a**7/70 - a**6/40 - a**5/20 + 3*a**2/2 - 1. Let h(r) be the second derivative of k(r). Find z such that h(z) = 0.
-1, 0, 1
Suppose -p - 7 = 4. Let d(b) = -b**3 - 10*b**2 + 12*b + 14. Let i be d(p). Factor 2*y**2 - y - i*y - 4*y + 2*y**3 - 2 + 6*y.
2*(y - 1)*(y + 1)**2
Let -4*z**4 + 0 - 4/9*z - 20/3*z**3 - 28/9*z**2 = 0. Calculate z.
-1, -1/3, 0
Let f(p) = -p**4 - 25*p**3 - 54*p**2 - 47*p - 17. Let u(l) = -l**4 - 37*l**3 - 81*l**2 - 71*l - 26. Let g(a) = -8*f(a) + 5*u(a). Factor g(s).
3*(s + 1)**3*(s + 2)
Let w(q) be the first derivative of q**5/70 - q**4/21 + q**3/21 - 3*q - 2. Let t(r) be the first derivative of w(r). Factor t(o).
2*o*(o - 1)**2/7
Suppose -3*u = -5*u + 8. Let h be (-1)/u - (-18)/8. Find y, given that -5*y**5 + 3*y**3 - 4*y**2 + h*y - 7*y**4 + 7*y**2 + 4*y**2 = 0.
-1, -2/5, 0, 1
Let h(k) = 9*k**3 - 28*k**2 - 9*k + 28. Let t(u) = 8*u**3 - 28*u**2 - 8*u + 28. Let i(n) = 4*h(n) - 5*t(n). Factor i(m).
-4*(m - 7)*(m - 1)*(m + 1)
Let h(w) be the third derivative of -w**5/12 - w**4/8 + 40*w**2. Find g such that h(g) = 0.
-3/5, 0
Let k(n) be the first derivative of 1 - 1/6*n**4 - 1/30*n**5 + 3/2*n**2 + 0*n - 1/3*n**3. Let x(g) be the second derivative of k(g). Factor x(z).
-2*(z + 1)**2
Factor q**4 + 8/5*q**3 + 6/5*q - 19/5*q**2 + 0.
q*(q - 1)*(q + 3)*(5*q - 2)/5
Let k = 881 - 878. Factor -1/3*a**4 - a**k + 8/3 + 2/3*a**2 + 4*a.
-(a - 2)*(a + 1)*(a + 2)**2/3
Let r be 58/40 - 6/24. Let n be 4/4 + (5 - 6). Find c, given that n*c**2 - r*c - 4/5 + 2/5*c**3 = 0.
-1, 2
Find u, given that -6*u**4 - 2*u**5 + 5*u**5 - 2*u**2 - 10*u**3 + 16*u**3 - u**5 = 0.
0, 1
Let h(s) = 19*s**2 - 3*s + 3. Let r(n) = -n**2. Let d(f) = -59*f**2 + 8*f - 8. Let x(w) = d(w) - r(w). Let g(m) = -14*h(m) - 5*x(m). Let g(v) = 0. What is v?
-1/3, 1/4
Let v be -2 - -8 - 1 - 1. Factor -4*h**4 + 4 - 2 + 4*h + 0*h**v + 2*h**4 - 4*h**3.
-2*(h - 1)*(h + 1)**3
Suppose 5*f - 2 - 13 = 0. Let -22 + f*r**4 - 6*r**3 + 22 = 0. Calculate r.
0, 2
Find b such that 0 - 3*b**2 + 3/7*b**4 + 0*b - 18/7*b**3 = 0.
-1, 0, 7
Let p(w) = -5*w**4 + 10*w**3 + 36*w**2 + 32*w + 8. Let c(b) = -2*b**4 + 3*b**3 + 12*b**2 + 11*b + 3. Let r(a) = 8*c(a) - 3*p(a). Factor r(x).
-x*(x + 2)**3
What is x in 0*x**2 + 0 + 1/4*x**4 + 1/4*x**3 + 0*x = 0?
-1, 0
What is x in 0*x - 3/5*x**3 + 3/5*x**2 + 0 = 0?
0, 1
Let c be 0 + (-2 - -1) - -4. Let i = 315/2 - 157. Factor i*u**2 + 0 - 1/2*u**4 + 1/2*u - 1/2*u**c.
-u*(u - 1)*(u + 1)**2/2
Let x(d) = 6*d**4 + 20*d**3 - 20*d - 18. Let f(j) = 1. Let s(p) = -12*f(p) - x(p). Determine w so that s(w) = 0.
-3, -1, -1/3, 1
Suppose 4*u = 3*u. Suppose k - 1 - 7 = u. Solve -6*o**3 + 2*o**2 + k*o**5 - 16/3*o**4 + 4/3*o + 0 = 0.
-1/2, 0, 2/3, 1
Let 0 - 1/4*l**3 + 0*l + 3/4*l**2 = 0. What is l?
0, 3
Factor 4/7*j**3 - 4*j + 8/7*j**2 + 16/7.
4*(j - 1)**2*(j + 4)/7
Factor -14/15*i + 2/5 + 2/3*i**2 - 2/15*i**3.
-2*(i - 3)*(i - 1)**2/15
Suppose 5*t - 8 = -r, -3*r + 10 = 2*t - 6*r. Factor -2/5*u**t - 2/5 + 4/5*u.
-2*(u - 1)**2/5
Let u(t) be the third derivative of t**6/720 + t**5/360 - t**4/144 - t**3/36 + 6*t**2. Factor u(i).
(i - 1)*(i + 1)**2/6
Suppose -5*d + 3*a + 234 = -2*d, 3*d = -a + 222. Let r = -57 - -60. What is i in d*i**2 - 125/2*i**r + 4 - 30*i = 0?
2/5
Let x(h) be the first derivative of -2*h + 0*h**3 + 0*h**2 + 1 - 1/54*h**4. Let g(w) be the first derivative of x(w). Factor g(c).
-2*c**2/9
Let u be (-13)/(3822/77) + (-6)/(-14). Solve -u*i**2 + 1/2 - 1/3*i = 0 for i.
-3, 1
Let v(a) be the second derivative of a**9/9072 + a**8/2520 - a**6/540 - a**5/360 - a**3/6 + a. Let z(n) be the second derivative of v(n). Factor z(l).
l*(l - 1)*(l + 1)**3/3
Let h be 2 - (-1 - (0 - 1)). Suppose -h*v + 5*v - 12 = 0. Determine p so that -p**2 - 2*p + 0*p + v*p = 0.
0, 2
Let b(m) be the second derivative of m**7/280 - 3*m**5/40 + m**4/4 + 2*m**3/3 - 5*m. Let w(p) be the second derivative of b(p). Factor w(o).
3*(o - 1)**2*(o + 2)
Factor -141/5*w**2 - 48/5 - 3*w**3 - 174/5*w.
-3*(w + 1)*(w + 8)*(5*w + 2)/5
Factor -1 + 3*j + 2*j**2 + 3 - 3 - 1.
(j + 2)*(2*j - 1)
Let y(d) be the first derivative of 0*d**4 + d - 1/15*d**3 + 1 + 0*d**2 + 1/50*d**5. Let r(o) be the first derivative of y(o). Factor r(c).
2*c*(c - 1)*(c + 1)/5
Let i = -11/8 - -169/88. Factor -i*x - 2/11*x**2 + 0.
-2*x*(x + 3)/11
Let c(f) be the first derivative of -f**5/5 - f**4 - 4*f**3/3 - 2. Find m, given that c(m) = 0.
-2, 0
Let s = -5/552 - 17935/552. Let j = s - -593/18. Factor -2/9 - j*n - 2/9*n**2.
-2*(n + 1)**2/9
Let u = 16 - 13. Let l(p) be the first derivative of -1/6*p**u + 0*p + 1/4*p**2 - 1. Factor l(d).
-d*(d - 1)/2
Let k = -22 - -68/3. Solve -k + 2/3*f**2 - 2/3*f + 2/3*f**3 = 0.
-1, 1
Let u(i) be the second derivative of i**7/168 + i**6/20 + 7*i**5/120 - i**4/4 - 7*i**3/6 + 8*i. Let v(f) be the second derivative of u(f). Solve v(q) = 0.
-3, -1, 2/5
Let b(h) = -4*h - 9 - 3*h**2 + 4*h**2 + 5*h + 8. Let q(u) be the first derivative of 2*u**3/3 + 4*u**2 - 6*u + 1. Let m(t) = 4*b(t) - q(t). Factor m(d).
2*(d - 1)**2
Let l(z) be the third derivative of -z**9/30240 + z**7/840 + z**6/180 - z**5/60 + 3*z**2. Let t(k) be the third derivative of l(k). Factor t(h).
-2*(h - 2)*(h + 1)**2
Solve -5*v**4 + v**3 + v + 14*v**3 - 15*v**2 + 4*v = 0 for v.
0, 1
Let l(v) be the third derivative of v*