 + f**5/15 + 4*f**2. Let d(l) be the third derivative of y(l). Factor d(n).
-2*n*(n - 2)/11
Let j = 115 - 112. Let b(t) be the second derivative of 1/48*t**4 + 0*t**2 + 0 - 3*t - 1/24*t**j. Factor b(r).
r*(r - 1)/4
Suppose 5*l = j - 2, -4*j + 7 = -1. Let s(c) be the first derivative of 0*c**2 - 1/6*c**6 + l*c - 1 + 0*c**4 + 0*c**3 + 0*c**5. Factor s(u).
-u**5
Let u(j) be the first derivative of j**4/12 - 4*j + 2. Let y(i) be the first derivative of u(i). Factor y(d).
d**2
Let b(h) be the third derivative of -7/150*h**5 + 1/100*h**6 + 0 - 2*h**2 + 1/12*h**4 + 0*h - 1/15*h**3. Factor b(c).
2*(c - 1)**2*(3*c - 1)/5
Let r(f) be the first derivative of f**3/6 - 7*f**2/2 + 49*f/2 + 1. Factor r(b).
(b - 7)**2/2
Let v(j) be the third derivative of -2*j**7/105 + j**6/30 + 3*j**5/5 + 11*j**4/6 + 8*j**3/3 + 6*j**2. Let v(t) = 0. Calculate t.
-1, 4
Let l(f) be the first derivative of 0*f**3 + 0*f + 1/60*f**6 + 1/2*f**2 - 4 + 1/12*f**4 + 1/15*f**5. Let y(w) be the second derivative of l(w). Factor y(b).
2*b*(b + 1)**2
Suppose k = 5, -4*u - k - 8 = -5*k. Factor -4/7*n**2 + 18/7*n**u - 18/7*n + 4/7.
2*(n - 1)*(n + 1)*(9*n - 2)/7
Let l(s) be the third derivative of -2*s**5/135 + s**4/9 - s**3/3 + 2*s**2. Let l(h) = 0. Calculate h.
3/2
Let f(h) be the second derivative of h**7/42 + h**6/10 + h**5/20 - h**4/4 - h**3/3 - 3*h. Factor f(r).
r*(r - 1)*(r + 1)**2*(r + 2)
Let u(k) be the third derivative of -k**5/150 + 7*k**4/60 - 2*k**3/5 + 5*k**2. Factor u(q).
-2*(q - 6)*(q - 1)/5
Let f be ((-3)/(-20))/(36/8). Let x(a) be the second derivative of -f*a**4 + 0 - 3*a + 1/5*a**2 + 0*a**3. Factor x(q).
-2*(q - 1)*(q + 1)/5
Let q(o) be the first derivative of 0*o**3 - 2*o + 0*o**2 - 2 - 1/12*o**4. Let n(x) be the first derivative of q(x). Factor n(r).
-r**2
Suppose 7*y - 12*y = -25. Suppose 0 = 4*z + y*r - 22, z + 4*z + 2*r = 19. Factor 1/3*i**z + 0 - 2/3*i**2 + 1/3*i.
i*(i - 1)**2/3
Determine p, given that -1/4*p**2 + 3/4*p - 1/2 = 0.
1, 2
Factor 1/2*u**2 + 2 + 2*u.
(u + 2)**2/2
Let c(u) = -u + 1. Let g = 8 + -7. Let f(z) = z**3 + 6*z - 6. Let k(h) = g*f(h) + 6*c(h). Factor k(q).
q**3
Let j = -6 - -3. Let l be j*5/((-15)/2). Factor -s**2 - s - 3*s**2 - 2 + 5*s**l.
(s - 2)*(s + 1)
Let w be (-14)/(6/(-3)) - 4. Factor -2/9*v + 0*v**w + 0 + 2/9*v**5 + 4/9*v**4 - 4/9*v**2.
2*v*(v - 1)*(v + 1)**3/9
Let y = 0 - -3. Factor -2*u**y - u**2 - 2*u**2 - u**2.
-2*u**2*(u + 2)
Factor 2/11*u**3 + 40/11*u - 16/11*u**2 - 32/11.
2*(u - 4)*(u - 2)**2/11
Let i be (70/8 - 15/20) + -2. Let r(j) be the third derivative of -3*j**2 + 1/540*j**i + 0 + 0*j**4 + 0*j**3 - 1/270*j**5 + 0*j. Factor r(w).
2*w**2*(w - 1)/9
Let i(b) = 4*b - 5. Let x be i(2). Let r(p) be the second derivative of 0 + 3*p - 3/10*p**2 + 1/20*p**4 + 0*p**x. Solve r(g) = 0.
-1, 1
Let o(f) be the third derivative of f**8/28 + 22*f**7/105 + 2*f**6/5 + 4*f**5/15 - 14*f**2. Suppose o(a) = 0. What is a?
-2, -1, -2/3, 0
Let o(w) = -w**5 - 5*w**4 - 3*w**3 - w**2 + w. Let f(d) = -2*d**4 + d. Let l(v) = -5*f(v) + 5*o(v). Suppose l(q) = 0. What is q?
-1, 0
Let l(f) be the first derivative of -2*f**3/27 + 6. Find d, given that l(d) = 0.
0
Suppose 4*i - 3 = 13. Let o(v) be the first derivative of -1/4*v - 1/16*v**i + 1 + 1/8*v**2 + 1/12*v**3. Factor o(n).
-(n - 1)**2*(n + 1)/4
Suppose 5*n = -2*u - 7, 3*n + 17 + 4 = 3*u. Let w(p) be the third derivative of -p**2 + 0 + 1/36*p**u + 1/18*p**3 + 1/180*p**5 + 0*p. Solve w(z) = 0 for z.
-1
Let u(h) be the first derivative of -h**4/44 - h**3/33 + h**2/22 + h/11 + 42. Factor u(n).
-(n - 1)*(n + 1)**2/11
Solve -3 + 2 + 2*c**2 + 2 - 3*c**2 = 0.
-1, 1
Let t(p) = p**2 + 2*p - 2. Let v(y) be the third derivative of y**5/30 + y**4/6 - 5*y**3/6 + 3*y**2. Let n(g) = 5*t(g) - 2*v(g). Determine k so that n(k) = 0.
-2, 0
Let o be (-336)/8*(-1)/(-2). Let r be (-9)/(-4) + o/(-28). Factor 2/9*v**4 + 0*v**2 - 2/9 + 4/9*v**r - 4/9*v.
2*(v - 1)*(v + 1)**3/9
Find o, given that 8*o**2 + 2*o**2 + 20*o**4 + 25*o**3 + 6*o**5 - o**5 = 0.
-2, -1, 0
Factor 3/4 - d + 1/4*d**2.
(d - 3)*(d - 1)/4
Let i be -2 - (2 + 56/(-2)). Suppose -6 = -3*d + v, 5*d + 3*v - i = -0. Factor 5*x**2 - x**4 - 3*x**2 - 3*x**2 + 3*x**3 - x**d.
-x**2*(x - 1)**2
Let p(f) be the third derivative of 0*f**5 - 1/420*f**7 + 0 + 0*f**3 + 1/1344*f**8 + 0*f + 0*f**4 + f**2 + 1/480*f**6. Solve p(m) = 0 for m.
0, 1
Let u be ((-2)/(-6))/((-20)/(-30)). Solve 0 - 1/2*i**2 - u*i = 0.
-1, 0
Let g(t) = -5*t**4 - 18*t**3 - 23*t**2 - 8*t. Let a(k) = 10*k**4 + 35*k**3 + 45*k**2 + 15*k. Let j(f) = -2*a(f) - 5*g(f). Determine s so that j(s) = 0.
-2, -1, 0
Factor 0*n + 24/5 - 6/5*n**2.
-6*(n - 2)*(n + 2)/5
Let j be (102/(-408))/((-1)/6). Factor -3*f**2 + 9/2*f - j*f**5 - 3*f**3 + 9/2*f**4 - 3/2.
-3*(f - 1)**4*(f + 1)/2
Let u(d) be the third derivative of -d**8/10080 + d**7/2520 + d**6/180 + d**5/15 - 3*d**2. Let x(t) be the third derivative of u(t). Factor x(j).
-2*(j - 2)*(j + 1)
Suppose 5*o**2 - 58*o**4 + 25*o**3 - 44*o**4 + 5*o**2 - 108*o**4 = 0. Calculate o.
-1/6, 0, 2/7
Let s(a) be the third derivative of -a**7/945 - a**6/135 - 2*a**5/135 + 13*a**2. Solve s(i) = 0 for i.
-2, 0
Let n(m) be the second derivative of -m**5/5 + m**4 - 2*m**3 + 2*m**2 - 12*m. Factor n(j).
-4*(j - 1)**3
Let u(r) be the first derivative of r**5/5 + r**4 + r**3 - 2*r**2 - 4*r + 18. Factor u(c).
(c - 1)*(c + 1)*(c + 2)**2
Let a(g) be the second derivative of g**6/30 - g**5/4 + g**4/2 + 2*g**3/3 - 4*g**2 - g. Factor a(r).
(r - 2)**3*(r + 1)
Let z be 12/(-72)*3*-1. Suppose u + 16 = 3*b + 2*b, b - 3*u - 6 = 0. Factor -7/4*d**b + 1/2 + 7/4*d - z*d**2.
-(d - 1)*(d + 1)*(7*d + 2)/4
Let o(g) be the third derivative of -2*g**2 + 0*g + 0*g**4 + 0 + 1/600*g**6 + 0*g**5 + 0*g**3. Factor o(m).
m**3/5
Let j(h) be the second derivative of h**6/15 + 3*h**5/5 + h**4/6 - 8*h**3 + 16*h**2 - 5*h + 8. Suppose j(u) = 0. Calculate u.
-4, 1
Let d be 15*(-3)/(-9) - (-552)/(-168). What is u in d + 20/7*u**2 - 4*u - 4/7*u**3 = 0?
1, 3
Let g(k) be the first derivative of 3*k**4 - 2 - 4/3*k**3 + 4*k - 6*k**2. Factor g(c).
4*(c - 1)*(c + 1)*(3*c - 1)
Let a(i) be the second derivative of 1/40*i**5 - 1/56*i**7 + 0 + 0*i**2 + 5*i + 1/120*i**6 + 0*i**3 + 0*i**4. Determine n so that a(n) = 0.
-2/3, 0, 1
Let c(q) = -q + 11. Let i be (-1)/(((-5)/(-8))/(-5)). Let s be c(i). Factor s - 4*x - 2*x**2 - 2 - 3.
-2*(x + 1)**2
Let g = 877 + -9637/11. What is s in -2/11*s**3 - 4/11 - g*s - 8/11*s**2 = 0?
-2, -1
Let p(a) be the first derivative of -a**6/6 + 2*a**5/5 + a**4/4 - 2*a**3/3 - 23. Factor p(b).
-b**2*(b - 2)*(b - 1)*(b + 1)
Let h(j) be the first derivative of 20*j**3/3 - 6*j**2 - 8*j + 43. Factor h(t).
4*(t - 1)*(5*t + 2)
Let o(y) be the first derivative of y**4 - 8*y**3/3 + 2*y**2 - 31. Solve o(h) = 0.
0, 1
Let s(m) be the second derivative of 0*m**3 - 4/15*m**6 + m + 0 + 1/6*m**4 - 3/10*m**5 + 0*m**2. Find k, given that s(k) = 0.
-1, 0, 1/4
Suppose 0 - 4/7*v**2 + 2/7*v = 0. Calculate v.
0, 1/2
Let c(d) = 12*d**4 + d**2 - 5*d + 9*d**3 + 5*d + 11. Let p(j) = j**4 + j**3 + 1. Let t(g) = -2*c(g) + 22*p(g). Factor t(b).
-2*b**2*(b - 1)**2
Let z(t) be the first derivative of -t**7/147 + t**6/105 + t**5/70 - t**4/42 + t - 2. Let l(m) be the first derivative of z(m). Find o, given that l(o) = 0.
-1, 0, 1
Let h be 1/(-4) - (-25)/4. Let o = 8 - h. Let 1/4*w**o + 1 + w = 0. Calculate w.
-2
Let f(w) = -w**3 - w**2 + w. Let l(y) = 4*y**3 - 2*y**2 + y. Let u(s) = 3*f(s) + l(s). Solve u(a) = 0.
0, 1, 4
Let x(l) be the second derivative of -2*l**7/7 + 7*l**6/10 + 3*l**5/10 + 18*l. Find b such that x(b) = 0.
-1/4, 0, 2
Factor 9*z**4 + z**5 - 18*z**3 + 33*z**3 + 4*z**5 + 11*z**4.
5*z**3*(z + 1)*(z + 3)
Let z = -176/3 - -353/6. Factor 0 + z*m**3 + 0*m + 0*m**2 - 1/6*m**4.
-m**3*(m - 1)/6
Suppose 3*o - 2*b = 4, o + b + 0*b = 3. Find y, given that 3/7*y**3 - 15/7*y**o - 12/7 + 24/7*y = 0.
1, 2
Let z be 44/96*-2 - -1. Let b(y) be the third derivative of 1/20*y**6 + 0*y**3 + 0*y - 1/105*y**7 + 0 - 1/10*y**5 + z*y**4 - 2*y**2. Solve b(s) = 0 for s.
0, 1
Factor 0 + 3/7*p + 6/7*p**2 + 3/7*p**3.
3*p*(p + 1)**2/7
Let z be -8 + 6 - (-72)/35. Let b = 31/70 + z. Factor 1/2*a - 1/4 - b*a**3 + 0*a**2 + 1/4*a**4.
(a - 1)**3*(a + 1)/4
Let k(p) be the second derivative of -p**6/120 - 3*p**5/40 - p**4/12 + p**3/4 + 5*p**2/8 - 10*p. Factor k(s).
-(s - 1)*(s