2/7 - 16*x/7 - 20. Factor a(m).
2*(m - 2)*(m + 4)/7
Suppose 11 = j - 3*f, 5*f + 17 = -5*j + 92. Let t = j + -14. Factor t*h + 0*h**3 - 1/4*h**4 + 0 + 1/4*h**2.
-h**2*(h - 1)*(h + 1)/4
Let t(r) be the third derivative of r**5/180 - 5*r**4/36 + 25*r**3/18 - 6*r**2. Factor t(z).
(z - 5)**2/3
Suppose -6*b - 32 + 32 = 0. Suppose 0 - 2/5*l**4 + 0*l + b*l**2 - 2/5*l**3 = 0. Calculate l.
-1, 0
Let t = -9 + 11. Let s(j) be the first derivative of -4/5*j + 2/15*j**3 - 1/5*j**t - 4. Factor s(z).
2*(z - 2)*(z + 1)/5
Suppose 4*j = 4*i - 20, 4*i + 0*j = j + 20. Suppose -r - 3 + i = 0. Factor -4 + r + 6 - 2*g**2 + 2*g.
-2*(g - 2)*(g + 1)
Let a(i) = -i**3 + 9*i**2 + 10*i - 6. Let r be a(10). Let v be r*((-27)/15)/3. Factor -v*c**3 + 0 - 8/5*c + 24/5*c**2.
-2*c*(3*c - 2)**2/5
Suppose 3*g = 10 - 1. Let f(r) be the third derivative of 1/60*r**5 + 1/60*r**6 + 1/210*r**7 + 0*r**g + 0*r**4 + 0 + 0*r + 2*r**2. Factor f(y).
y**2*(y + 1)**2
Let j(x) be the second derivative of -x**5/160 - 7*x**4/96 - x**3/3 - 3*x**2/4 - 28*x. Factor j(b).
-(b + 2)**2*(b + 3)/8
Let q(j) be the third derivative of -j**8/840 + j**7/210 + j**6/180 - j**5/30 + 3*j**3/2 + 9*j**2. Let l(k) be the first derivative of q(k). Factor l(n).
-2*n*(n - 2)*(n - 1)*(n + 1)
Suppose -8/7 + 8/7*j + 6/7*j**4 + 38/7*j**2 + 4*j**3 = 0. Calculate j.
-2, -1, 1/3
Let o(l) = -5*l - 40. Let r be o(-8). Factor 3/4*g**4 + r*g - 3/4*g**2 + 0*g**3 + 0.
3*g**2*(g - 1)*(g + 1)/4
Let a be ((-1)/(-1))/((-4)/20). Let i be 17/(-17)*2/a. Let 2/5*y**2 + 0*y + 2/5*y**5 + 0 - i*y**3 - 2/5*y**4 = 0. What is y?
-1, 0, 1
Suppose 2*b = -4, 3*x - b + 6 = -4*b. Let z(m) be the first derivative of 3 + 0*m**4 + x*m**3 + 3*m**4 - m**5 + m**2 - 3*m**3. Let z(j) = 0. Calculate j.
0, 2/5, 1
Let w(v) be the second derivative of 0*v**4 + 1/84*v**7 - v + 0 + 0*v**3 + 1/20*v**5 + 1/20*v**6 + 0*v**2. Factor w(a).
a**3*(a + 1)*(a + 2)/2
Solve -20/9*z**3 + 4/9 + 10/9*z - 8/9*z**2 + 4/9*z**4 + 10/9*z**5 = 0.
-1, -2/5, 1
Suppose p + 2 = -4. Let s = p - -8. Factor -2/3*t**s - 2/3 - 4/3*t.
-2*(t + 1)**2/3
Let k(x) be the first derivative of x**7/105 - x**6/30 + x**5/30 - 2*x**2 + 3. Let v(i) be the second derivative of k(i). Factor v(o).
2*o**2*(o - 1)**2
Suppose 5*g + 5*u = 0, -4*u = -0*u + 12. Let f(a) be the second derivative of 0 + 2*a + 1/6*a**g - 1/48*a**4 - 1/2*a**2. Let f(p) = 0. What is p?
2
Let a(x) = 12 + 5*x - x - x - 4*x. Let l be a(11). Factor -2*t + 3 - l - 2 + t**2.
t*(t - 2)
Let z(c) be the third derivative of c**8/588 - 2*c**6/105 - 2*c**5/105 + c**4/14 + 4*c**3/21 + 4*c**2. Solve z(d) = 0.
-1, 1, 2
Let y = 37 - 35. Let b(t) be the second derivative of 0 + 0*t**y + 2/21*t**3 + 3*t + 1/42*t**4. Factor b(q).
2*q*(q + 2)/7
Factor -2/15*o**3 - 22/15*o + 4/5 + 4/5*o**2.
-2*(o - 3)*(o - 2)*(o - 1)/15
Let o = -34 + 37. Determine r, given that 2/3*r**o + 0 + 0*r**2 + 0*r = 0.
0
Suppose -2*k = -4*k - 24. Let n be (1 - 1)/(-11 - k). Factor n - 2/5*h + 2/5*h**3 + 7/5*h**2 - 7/5*h**4.
-h*(h - 1)*(h + 1)*(7*h - 2)/5
Let v(u) = -u**4. Let o(b) = 5*b**4 - b**3. Let a(h) = o(h) + 4*v(h). Factor a(w).
w**3*(w - 1)
Factor -4/9 + 2/9*x**2 - 2/9*x.
2*(x - 2)*(x + 1)/9
Let j(q) = -2*q**2 + 2*q - 18. Let o(y) = -3*y**2 + 3*y - 18. Let z(v) = -6*j(v) + 5*o(v). Let z(f) = 0. Calculate f.
-2, 3
Determine w so that 9*w**3 - 4*w**3 - 16556*w**2 + 25*w + 16586*w**2 = 0.
-5, -1, 0
Let t(b) be the third derivative of b**7/1680 - b**6/240 + b**5/80 - b**4/48 - b**3/6 - 5*b**2. Let d(g) be the first derivative of t(g). Factor d(q).
(q - 1)**3/2
Let a(o) be the first derivative of -5*o**4/4 + 25*o**3/3 + 65*o**2/2 + 35*o - 9. Factor a(s).
-5*(s - 7)*(s + 1)**2
Suppose 7 = 3*s + 16. Let r = -3 - s. Let -3*k**3 - k + r*k + 3*k + k = 0. Calculate k.
-1, 0, 1
Let s = 251 - 5270/21. Let g(a) be the second derivative of 0*a**2 + s*a**3 + 2*a + 0 - 1/42*a**4. Factor g(b).
-2*b*(b - 1)/7
Suppose c - 11 = -5*g - 0, c + 7 = g. Factor -12*b**4 + 5*b - 4*b**g - b + 10*b**4 + 2 + 0.
-2*(b - 1)*(b + 1)**3
Let -3/7*s**2 - 9/7 - 12/7*s = 0. Calculate s.
-3, -1
Let z be 0*-3*4/12. Let m(i) be the second derivative of -1/9*i**3 + 0 + 1/9*i**4 + z*i**2 - 2*i - 1/30*i**5. Solve m(u) = 0 for u.
0, 1
Let n(m) = m**4 + 1. Let v(c) = c**5 - 13*c**4 + c**3 - 11. Let u(x) = 44*n(x) + 4*v(x). Factor u(o).
4*o**3*(o - 1)**2
Factor 4/11 + 18/11*a + 6/11*a**3 + 20/11*a**2.
2*(a + 1)*(a + 2)*(3*a + 1)/11
Let y(j) = 35*j**5 - 40*j**4 + 15*j**3 + 5*j**2 + 5*j. Let s(q) = -q**4 - q**3 - q**2 - q. Let x(f) = -5*s(f) - y(f). Factor x(w).
-5*w**3*(w - 1)*(7*w - 2)
Let w(p) = -2*p**2 + 17*p + 4. Let b(n) = 11*n**2 - 103*n - 24. Let q(h) = -6*b(h) - 39*w(h). Determine d so that q(d) = 0.
-1/4, 4
Let y = -1 - -6. Factor 0 + 0*g**2 + 0*g + 1/3*g**4 + 0*g**3 + 1/3*g**y.
g**4*(g + 1)/3
Let m(j) be the second derivative of -j**4/12 - 3*j**3 - 81*j**2/2 + 33*j. Factor m(w).
-(w + 9)**2
Let t(j) be the second derivative of -j**5/100 - 3*j**4/40 - 3*j**2/2 + 4*j. Let r(w) be the first derivative of t(w). Factor r(o).
-3*o*(o + 3)/5
Let 48/5*w - 12/5 + 3*w**3 - 51/5*w**2 = 0. Calculate w.
2/5, 1, 2
Let j(s) be the first derivative of -2/21*s**3 + 0*s**2 + 3 + 0*s + 0*s**4 + 2/35*s**5. Factor j(y).
2*y**2*(y - 1)*(y + 1)/7
Find k such that -2/3*k**3 + 0*k - 16/3*k**2 + 0 = 0.
-8, 0
Let x(f) be the first derivative of 2 - 1/18*f**4 + 2/27*f**3 + 0*f + 0*f**2. Factor x(d).
-2*d**2*(d - 1)/9
Let h = -84674/429 + 6/143. Let v = h - -200. Suppose v + 8/3*a + 2/3*a**2 = 0. Calculate a.
-2
Let y(p) be the third derivative of p**8/60480 - p**5/30 + 3*p**2. Let o(v) be the third derivative of y(v). What is j in o(j) = 0?
0
Let g(z) be the second derivative of -z**3 - 3*z + 1/4*z**4 - 9/2*z**2 + 0. Let g(l) = 0. Calculate l.
-1, 3
Let z(r) be the third derivative of r**8/13440 - r**7/20160 - r**4/8 - 2*r**2. Let h(s) be the second derivative of z(s). Suppose h(c) = 0. Calculate c.
0, 1/4
Let h = -458 + 61831/135. Let j(q) be the third derivative of 0*q - 1/90*q**5 - h*q**7 + 0*q**3 + 1/54*q**4 + 0 - 1/45*q**6 + 4*q**2. Factor j(u).
-2*u*(u + 1)**2*(7*u - 2)/9
Let r(h) = 80*h**5 + 252*h**4 + 180*h**3 + 36*h**2 + 28. Let f(i) = 9*i**5 + 28*i**4 + 20*i**3 + 4*i**2 + 3. Let u(t) = 28*f(t) - 3*r(t). Solve u(q) = 0.
-1, -1/3, 0
Let y(m) be the first derivative of -25*m**6/2 + 33*m**5 + 42*m**4 + 12*m**3 + 12. Solve y(j) = 0.
-2/5, 0, 3
Factor 168*k**3 + 5*k**4 - 180*k**3 - 2*k**4 + 9*k**2.
3*k**2*(k - 3)*(k - 1)
Let l = 8 + -10. Let y be (2/(-10))/(l/5). Factor 0 - 1/2*q**4 + 1/2*q**5 - 1/2*q**3 + y*q**2 + 0*q.
q**2*(q - 1)**2*(q + 1)/2
Let k = 3 - 1. Suppose -20 = k*q - 4*q. Let c(r) = -2*r**2 - 3*r + 2. Let j(d) = 3*d**2 + 5*d - 3. Let b(w) = q*c(w) + 6*j(w). Factor b(i).
-2*(i - 1)*(i + 1)
Suppose 0 = -5*r - q - 2, 3*q + 9 = -5*r + 3. Determine j so that r - 1/4*j**2 - 1/4*j = 0.
-1, 0
Let z = 233/9 + -25. What is s in -8/9*s - z + 8/9*s**3 + 2/3*s**2 + 2/9*s**4 = 0?
-2, -1, 1
Solve -3*y**2 - y**2 - 8*y - 3*y**2 + 3*y**2 = 0.
-2, 0
Let a(v) be the first derivative of -v**3/3 + 1. Let x be a(0). Find g such that -g**2 - 1 - 4*g + x*g**2 + 2*g = 0.
-1
Let y(q) be the third derivative of q**5/20 - 9*q**4/8 - 5*q**3 + 10*q**2. Factor y(s).
3*(s - 10)*(s + 1)
Let q = -1916/7 - -274. Solve 0*f**2 + 2/7*f**5 + 0*f - 4/7*f**4 + 0 + q*f**3 = 0 for f.
0, 1
Factor 0*y - 2/11*y**4 - 2/11*y**3 + 0 + 2/11*y**2 + 2/11*y**5.
2*y**2*(y - 1)**2*(y + 1)/11
Let z(v) = v**3 + 5*v**2 + 2*v - 5. Let u be z(-4). Factor 10/3*g**5 + 16/3*g**2 - 2*g + 44/3*g**u + 12*g**4 - 4/3.
2*(g + 1)**4*(5*g - 2)/3
Let x(y) = -9*y**3 + 4*y**2 + 4*y - 4. Let a(i) = -i**3 + i**2 + i - 1. Let u(t) = -4*a(t) + x(t). Find p such that u(p) = 0.
0
Suppose 5*d - i = 30, 3*i - 2 - 41 = -4*d. Let u be 16/d + (-4)/14. Factor 1 - 2*g - g**2 + u - 4.
-(g + 1)**2
Let c(r) = -5*r**4 + 15*r**3 + 17*r**2 + 11*r - 7. Let j(o) = -4*o**4 + 14*o**3 + 16*o**2 + 10*o - 6. Let a(p) = -6*c(p) + 7*j(p). Solve a(u) = 0.
-2, -1, 0
Let i = 910 + -907. Factor 2/9*c**2 + 0*c + 0 - 2/9*c**4 + 0*c**i.
-2*c**2*(c - 1)*(c + 1)/9
Let w(j) be the second derivative of j**5/20 - j**3/2 - j**2 - 3*j. Factor w(m).
(m - 2)*(m + 1)**2
Let s(j) be the first derivative of -j**6/2 + 12*j**5/5 - 9*j**4/2 + 4*j**3 - 3*j**2/2 + 4. Suppose s(u) = 0. Calculate u.
0, 1
Let j(s) be the first derivative of -s**