 be the first derivative of r**6/300 - r**4/60 - 3*r**2/2 - 1. Let g(y) be the second derivative of a(y). Factor g(m).
2*m*(m - 1)*(m + 1)/5
Let d(a) be the second derivative of a**7/3780 + a**6/405 + a**5/108 + a**4/54 - 5*a**3/6 - 2*a. Let f(i) be the second derivative of d(i). Factor f(u).
2*(u + 1)**2*(u + 2)/9
Solve 1/2*i**5 - 2*i**2 + 5/4*i**4 + i + 3/4 - 3/2*i**3 = 0 for i.
-3, -1, -1/2, 1
Let r = 567 + -567. Let r*z**2 - 2/7*z**3 + 0 + 2/7*z = 0. Calculate z.
-1, 0, 1
Suppose -2*v = -4*v - 3*o + 12, 5*v = 2*o + 11. Suppose 0 = 9*n - 4*n + 3*s - 1, 18 = v*n - 4*s. Factor -10*x**n - 14*x**3 - x + 2*x + 4*x - x.
-2*x*(x + 1)*(7*x - 2)
Factor 5/3*a**2 + 4/3*a**3 + 1/3*a**4 + 2/3*a + 0.
a*(a + 1)**2*(a + 2)/3
Let i(v) be the first derivative of 2/55*v**5 + 0*v - 3 - 1/11*v**4 + 0*v**2 + 2/33*v**3. Factor i(t).
2*t**2*(t - 1)**2/11
Suppose 23 = 2*r - k, 4*k - 8 + 45 = 3*r. Let p = -5 + r. Factor p*l**4 + 2/3*l + 2*l**3 - 10/3*l**2 + 0.
2*l*(l + 1)*(3*l - 1)**2/3
Let r be (-91)/(-52)*(-3)/(-7). Solve r*z**3 - 3/4 + 9/4*z - 9/4*z**2 = 0.
1
Let s(w) be the second derivative of -w**7/210 + w**5/25 - w**4/30 - w**3/10 + w**2/5 + 22*w. Factor s(y).
-(y - 1)**3*(y + 1)*(y + 2)/5
Let q(s) be the first derivative of -s**7/21 + 3*s - 2. Let h(x) be the first derivative of q(x). Factor h(t).
-2*t**5
Let x(q) be the second derivative of -8/15*q**3 - 1/5*q**5 + q + 6/35*q**7 - 2/3*q**4 + 0 + 7/25*q**6 - 1/5*q**2. Solve x(c) = 0 for c.
-1, -1/2, -1/3, 1
Let u(h) be the second derivative of 1/21*h**3 - 1/70*h**5 - 2*h + 0*h**2 + 0*h**4 + 0. Solve u(s) = 0 for s.
-1, 0, 1
Let y(u) be the second derivative of 3*u**5/70 - 5*u**4/21 - 8*u**3/21 + 11*u. Let y(s) = 0. Calculate s.
-2/3, 0, 4
Let t(r) = 10*r**3 - 38*r**2 + 28*r + 12. Let z(x) = 4*x**3 - 15*x**2 + 11*x + 5. Let v(y) = -5*t(y) + 12*z(y). Factor v(a).
-2*a*(a - 4)*(a - 1)
Let b(g) be the second derivative of g**6/60 - g**5/10 + 5*g**4/24 - g**3/6 - 24*g. Let b(x) = 0. Calculate x.
0, 1, 2
Let b(l) be the third derivative of 0*l + 5*l**2 + 1/6*l**3 + 0 + 0*l**4 - 1/60*l**5. Factor b(z).
-(z - 1)*(z + 1)
Factor 3/2*p - 9/4 + 3/4*p**2.
3*(p - 1)*(p + 3)/4
Let m(p) = -p**3 + 6*p**2 - 3*p - 8. Let y(j) = 2*j**3 - 13*j**2 + 7*j + 17. Let n(s) = 13*m(s) + 6*y(s). Let n(u) = 0. What is u?
-2, 1
Let i(f) = 0*f - 3 - 5 + f - 2. Let u be i(10). Factor q**4 + 0*q**2 + 1/4*q**3 + u + 0*q.
q**3*(4*q + 1)/4
Let c(z) = z**2 + 4*z - 4. Let s be c(-6). Factor -4*q**3 - 6*q - 2*q**5 + 4*q + s*q**3.
-2*q*(q - 1)**2*(q + 1)**2
Let k = -352 + 12677/36. Let t(v) be the second derivative of 0 - 7/18*v**3 + 1/3*v**2 - 3*v + k*v**4. Factor t(s).
(s - 1)*(5*s - 2)/3
Let o(x) = 0*x - x**4 + 0*x - 1. Let h(u) = -7*u**4 + 4*u**3 - 6*u**2 + 4*u - 7. Let m be 4 + 3*4/6. Let p(t) = m*o(t) - h(t). Let p(v) = 0. Calculate v.
1
Suppose 2/5*f**3 + 18/5*f**2 + 54/5 + 54/5*f = 0. Calculate f.
-3
Suppose 0 = 4*f - 8 + 8. What is p in 3/2*p + 3*p**2 + f = 0?
-1/2, 0
Factor 36/7*q - 4/7*q**2 + 0.
-4*q*(q - 9)/7
Let v(u) be the third derivative of -u**8/672 + u**7/210 - u**5/60 + u**4/48 - 26*u**2. Solve v(g) = 0 for g.
-1, 0, 1
Let q be (-12)/(-14)*(4 + -11). Let h be (-62)/(-10) - q/(-30). Determine d so that -6*d**2 - 5*d - d**4 - h*d**3 - d**4 + 3*d = 0.
-1, 0
Factor -3/4*p - 9/4*p**3 + 0 + 3/4*p**4 + 9/4*p**2.
3*p*(p - 1)**3/4
Let k(f) be the first derivative of -2*f**5/5 + 5*f**4/2 - 4*f**3 - 4*f**2 + 16*f - 5. Find d such that k(d) = 0.
-1, 2
Let b(m) be the first derivative of -2 - 4/3*m + 0*m**2 + 1/9*m**3. Suppose b(h) = 0. Calculate h.
-2, 2
Suppose -5*f = -2*f + 6. Let p be 3 - (-5 - f)/(-3). Factor -1/2*r**4 + 1/2*r**5 + 0 + 0*r + 1/2*r**p - 1/2*r**3.
r**2*(r - 1)**2*(r + 1)/2
Let d(r) be the third derivative of -2/5*r**5 + 0 + r**2 + 0*r - 1/8*r**6 - 1/8*r**4 + r**3. Determine i so that d(i) = 0.
-1, 2/5
Let a(l) be the first derivative of 0*l**2 - 4 + 0*l + 1/2*l**3 + 3/8*l**4 - 1/4*l**6 - 3/10*l**5. Factor a(h).
-3*h**2*(h - 1)*(h + 1)**2/2
Let n(i) be the second derivative of 0*i**2 - 3*i - 1/12*i**3 + 1/60*i**6 + 0 - 3/40*i**5 + 1/8*i**4. Suppose n(c) = 0. What is c?
0, 1
Factor 0 + 0*g - 3*g**3 - 3*g**2 - 3/4*g**4.
-3*g**2*(g + 2)**2/4
Let z(k) be the first derivative of -2/9*k**3 + 5/12*k**4 - 5/12*k**2 + 1/15*k**5 + 5 - 5/36*k**6 + 1/3*k. Suppose z(c) = 0. What is c?
-1, 2/5, 1
Let g(q) = -q**3 + 4*q**2 - q - 3. Let n be g(3). Suppose n*t + t = 0. Factor t + 0*p - 2/5*p**3 + 0*p**2.
-2*p**3/5
Let -13 - 298*r**2 + 26*r + 302*r**2 + 33 - 2*r = 0. Calculate r.
-5, -1
What is k in 0 + 2/7*k**3 - 18/7*k**2 + 0*k = 0?
0, 9
Let m(v) be the first derivative of v**6/2 - 6*v**5/5 + 2*v**3 - 3*v**2/2 - 6. Let m(z) = 0. What is z?
-1, 0, 1
Let k = 1019 + -152849/150. Let i(q) be the second derivative of -k*q**6 + 0*q**2 + 1/60*q**4 - 1/15*q**3 + 1/50*q**5 - 2*q + 0. Factor i(v).
-v*(v - 2)*(v - 1)*(v + 1)/5
Let i(u) be the third derivative of -u**8/1512 - u**7/135 - 19*u**6/540 - 5*u**5/54 - 4*u**4/27 - 4*u**3/27 + 37*u**2. Let i(s) = 0. Calculate s.
-2, -1
Let r = -4 - -6. Suppose -c = -5*c + w + 2, r*c = 5*w + 10. Factor 0*b**3 + 1/2*b**2 - 1/4*b**4 - 1/4 + c*b.
-(b - 1)**2*(b + 1)**2/4
Let g(y) be the second derivative of 4*y**7/147 + y**6/105 - 4*y**5/35 - y**4/21 + 4*y**3/21 + y**2/7 - 3*y. Suppose g(d) = 0. What is d?
-1, -1/4, 1
Let q(g) be the third derivative of -g**5/330 + g**4/132 + 2*g**3/33 - 6*g**2. Find u such that q(u) = 0.
-1, 2
Let r(f) be the third derivative of -f**5/28 + f**4/28 + f**2 + 7. Factor r(t).
-3*t*(5*t - 2)/7
Find d such that 0 - 4/5*d**3 + 0*d**2 + 0*d + 2/5*d**4 = 0.
0, 2
Let p = -412/5 - -113. Let t = -29 + p. Determine q so that -t - 14/5*q**2 + 32/5*q = 0.
2/7, 2
Let i(s) be the third derivative of s**7/15 + s**6/12 - 8*s**5/15 + s**4/3 - 2*s**2 + 15. Determine q so that i(q) = 0.
-2, 0, 2/7, 1
Let j be 4/16 + 7/4. Factor -2 - 2*h**3 - 20*h**2 - 17*h + 16*h**4 + 21*h**j - 40*h**2 - 6*h**3.
(h - 2)*(h + 1)*(4*h + 1)**2
Factor -2*d**5 + 4*d**4 - 3*d**4 + 2*d + 4*d**2 - 5*d**4.
-2*d*(d - 1)*(d + 1)**3
Let z(r) = r**3 + 5*r**2 - 8*r - 10. Let d be z(-6). Let j(w) be the second derivative of -5/21*w**3 + 0 + 3*w - 1/6*w**4 + 2/7*w**d. Factor j(u).
-2*(u + 1)*(7*u - 2)/7
Let q be (-40)/140 + ((-64)/(-126))/1. Solve -2/9*f**2 + q + 2/9*f**3 - 2/9*f = 0 for f.
-1, 1
Let q = 43/3 + -12. Factor -4/3*v**2 + 4*v**3 + 0 + q*v**4 + 0*v.
v**2*(v + 2)*(7*v - 2)/3
Find m such that 11 - 2*m**3 - 11 = 0.
0
Let i(b) be the third derivative of -1/300*b**6 + 1/75*b**5 - 4*b**2 + 0 + 0*b**4 + 0*b**3 + 0*b. Solve i(p) = 0 for p.
0, 2
Let y be (-45)/35 + 4/14. Let p be y*(15/(-3) - 0). Let -3*c**5 - 5*c**2 - 4*c**4 + c**2 + 6*c**3 + c + 2*c**p + 2*c**5 = 0. What is c?
0, 1
Suppose 20 = 5*q - q. Determine p, given that p**2 + p**5 - 2*p**3 - q*p**4 + 2*p**3 + 4*p**4 - p**3 = 0.
-1, 0, 1
Let m = -39 - -41. Let o(u) be the first derivative of m + 4*u + 1/3*u**3 + 2*u**2. Factor o(z).
(z + 2)**2
Let l be 6/(-33) - (-402)/33. Factor 60*z + 49*z**2 + l + 33*z**2 - 7*z**2.
3*(5*z + 2)**2
Let g(b) be the third derivative of b**7/840 - b**6/480 - b**5/240 + b**4/96 + 3*b**2. Factor g(z).
z*(z - 1)**2*(z + 1)/4
Factor 5*m**2 - 12*m - 2 + 3*m**2 + 6*m**2.
2*(m - 1)*(7*m + 1)
Let w(a) = -a**2 - 9*a - 18. Let v be w(-6). Let 0*y**3 + v*y + 0*y**2 - 1/5*y**4 + 0 = 0. Calculate y.
0
Let i(p) be the second derivative of p**5/20 + p**4/12 - p**3/6 - p**2/2 - p. Factor i(j).
(j - 1)*(j + 1)**2
Let l(v) be the third derivative of v**5/60 + 7*v**4/24 - v**3 + 2*v**2. Let a be l(-8). Let -3*i**4 - 5*i**4 + 4*i**4 + 2*i**3 + a*i**5 = 0. Calculate i.
0, 1
Let a(s) = 5*s**3 - 2*s + 1. Let w be a(1). Factor -c**3 - c - 3*c**2 + 5*c**2 - w*c**2.
-c*(c + 1)**2
Let d(b) be the third derivative of 0*b - 7/60*b**5 - 1/12*b**4 - b**2 + 0 + 0*b**3. Factor d(a).
-a*(7*a + 2)
Let k(n) be the first derivative of n**7/630 - n**5/90 + n**3/18 + n**2/2 - 1. Let b(f) be the second derivative of k(f). What is j in b(j) = 0?
-1, 1
Let m(w) = 115*w**2 - 5*w + 25. Let d(a) = -19*a**2 + a - 4. Let l(n) = -25*d(n) - 4*m(n). Find x, given that l(x) = 0.
0, 1/3
Let n(q) = -q - 2. Let w be n(-6). Let y be (-2)/w*-4 + 3. Solve 2*v**4 - 3*v**5 + 2*v**5 - v**y = 0 for v.
0, 1
Let h(y) be the first derivative of 0*y**2 + 0*y - 2/7*y**3 + 3/5*y**5 - 5 + 15/28*y**4. Fa