(x) be the third derivative of f(x). Factor a(u).
-u*(u - 1)**3*(u + 1)
Let 0*x + 0 - 1/6*x**4 + 0*x**2 + 1/6*x**3 = 0. What is x?
0, 1
Let a(q) = 25*q**3 + 145*q**2 + 35*q + 35. Let g(k) = 2*k**3 + 12*k**2 + 3*k + 3. Let x(h) = -3*a(h) + 35*g(h). Factor x(f).
-5*f**2*(f + 3)
Let x = 653/3 - 213. Solve 6*k**2 - 4/3 + x*k = 0 for k.
-1, 2/9
Factor -50*g**2 - 13*g + 13*g - 15*g**3 - 6*g + 40 - 14*g.
-5*(g + 2)**2*(3*g - 2)
Suppose -3*i = 2 + 10. Let d(t) = t**2 + 5*t. Let q(p) = 3 - 3 + 4*p. Let o(j) = i*q(j) + 3*d(j). Determine m, given that o(m) = 0.
0, 1/3
Let z = -3 + 8. Let r(v) be the first derivative of 1/6*v**6 - v + 2/3*v**3 - 1/2*v**4 + 1/2*v**2 + 1 - 1/5*v**z. Find p such that r(p) = 0.
-1, 1
Let p be 3*2/6*-1. Let l(y) = 4*y**4 - 7*y**3 + 4*y**2 + 7*y - 8. Let z(f) = -f**3 + f. Let x(u) = p*l(u) - 5*z(u). Solve x(o) = 0.
-1, 1, 2
Let q = -22 - -36. Let r be (0 - 4)*(-2)/q. Suppose -r + 34/7*j**3 + 22/7*j - 10/7*j**4 - 6*j**2 = 0. Calculate j.
2/5, 1
Suppose 0 = 2*o + 3*o. Let n(b) be the third derivative of 1/840*b**7 + 0*b**5 - 1/48*b**4 + o*b + 1/240*b**6 - 1/24*b**3 + 0 - b**2. Factor n(r).
(r - 1)*(r + 1)**3/4
Let a be (4 - 6)/((-2)/4). Let j(q) be the second derivative of -1/6*q**2 + 7/18*q**3 - 2/9*q**a + 0 - 4/15*q**5 - 2*q. Factor j(i).
-(i + 1)*(4*i - 1)**2/3
Let k(b) be the first derivative of b**6/4 - 9*b**4/4 - 4*b**3 - 9*b**2/4 - 13. Determine m so that k(m) = 0.
-1, 0, 3
Let r = -72 + 51. Let j be 0 - (r/4)/7. What is a in j*a**2 + 3/4*a**3 + 0 + 1/4*a**4 + 1/4*a = 0?
-1, 0
Let f = -102 - -1531/15. Let x(g) be the second derivative of -g - 1/6*g**4 + f*g**6 - 1/10*g**5 + 0*g**2 + 0 + 1/3*g**3. Factor x(j).
2*j*(j - 1)**2*(j + 1)
Let -20*j**2 + 44*j**2 + 3*j - 27*j**2 = 0. What is j?
0, 1
Let x(m) be the first derivative of -4/27*m**3 - m - 1/45*m**5 + 1 - 5/54*m**4 - 1/9*m**2. Let z(y) be the first derivative of x(y). Let z(w) = 0. Calculate w.
-1, -1/2
Let m be (-4)/(-22)*(-341)/(-155). Let 2/5*b**3 - m*b + 0 + 0*b**2 = 0. What is b?
-1, 0, 1
Let c = -10/21 - -8/7. Let l(t) be the first derivative of 1 + 0*t**2 + 0*t + 1/2*t**4 + c*t**3. Factor l(q).
2*q**2*(q + 1)
Factor -p**3 - 5*p**3 + 25*p - 5*p**5 + 8*p**5 - 22*p.
3*p*(p - 1)**2*(p + 1)**2
Let c = -2/59 - -889/118. Factor -c*h**2 + 0 - 3*h.
-3*h*(5*h + 2)/2
Let h(f) be the first derivative of -f**6/6 + 2*f**5/5 + 3*f**4/4 + 7. Factor h(u).
-u**3*(u - 3)*(u + 1)
Solve 7*m**4 + 2*m**3 + 10*m**2 + 0*m**4 - 2*m**4 - 17*m**3 = 0 for m.
0, 1, 2
Solve 2*g**3 + 12*g + g**3 - 41*g**2 + 29*g**2 = 0 for g.
0, 2
Factor 70*u**4 - 2 + 36*u**3 + 2 - 74*u**4.
-4*u**3*(u - 9)
Let c(t) be the first derivative of 2 - 2*t + 0*t**3 + 0*t**5 + 0*t**4 - 1/15*t**6 + 0*t**2 + 1/21*t**7. Let d(y) be the first derivative of c(y). Factor d(q).
2*q**4*(q - 1)
Let m(b) = b + 5. Let r be m(-3). Let t(n) be the first derivative of 4 - 1/3*n**3 + r*n - 1/2*n**2. Find w such that t(w) = 0.
-2, 1
Suppose 4*p - 14 = 2. What is f in -14*f - f**2 - p*f**2 + 4 + 28*f**3 - 3*f**2 + 4*f**4 - 14*f**5 = 0?
-1, 2/7, 1
Let c(j) = j**2 - 2. Let l be c(-2). Determine i so that 3*i**4 - l*i - 8*i + i**5 + i**2 + 10*i + 3*i**3 = 0.
-1, 0
Let m(k) be the third derivative of k**6/60 + k**5/15 + k**4/12 + 11*k**2. Suppose m(b) = 0. What is b?
-1, 0
Let a(g) be the first derivative of 0*g**2 + 7 + 2/3*g**3 + 0*g. Solve a(c) = 0 for c.
0
Let s be 1*((-3)/3 - -4). Let w(k) be the second derivative of 4/3*k**2 + 0 + 1/18*k**4 - 4/9*k**s + 2*k. Determine n, given that w(n) = 0.
2
Suppose 13 = -c + 5*g - 0*g, 0 = -4*c - 4*g + 20. Find l, given that 0 + 1/5*l**c + 1/5*l = 0.
-1, 0
Find j such that -8*j - 7*j - 5*j**2 + 96 - 106 = 0.
-2, -1
Let s(c) = -c**2 + 13*c - 30. Let o be s(10). Let j be 1/3*(1 + 0). Solve j + o*d + 1/3*d**4 - 2/3*d**2 + 0*d**3 = 0.
-1, 1
Let g = 65 + -34. Let -48 + 3*n**4 - 48*n - 7*n**3 - 12*n**3 + g*n**3 = 0. What is n?
-2, 2
Let s(u) be the third derivative of 0*u**3 - 1/1050*u**7 + 0*u + 3*u**2 - 1/120*u**4 + 0 + 1/300*u**5 + 1/600*u**6. Factor s(z).
-z*(z - 1)**2*(z + 1)/5
Let d(t) = 10*t**2 + t + 3. Let z(m) = -20*m**2 - 1 - m - 5 - 1. Let l(w) = 7*d(w) + 3*z(w). Determine u so that l(u) = 0.
-2/5, 0
Let d(m) be the third derivative of -1/270*m**5 + 1/945*m**7 + 1/540*m**6 + 0 - 1/108*m**4 + 0*m + 0*m**3 + m**2. Determine k, given that d(k) = 0.
-1, 0, 1
Factor -33*i - 4*i**2 + 5*i**2 + 4*i**2 + 93*i + 55.
5*(i + 1)*(i + 11)
Suppose -5*w + 4*l = 4, -w - 1 = -0*l - l. Let m be (-1 - w)/((-28)/8). Factor 4/7*x**3 - 4/7*x + m*x**4 + 0*x**2 - 2/7.
2*(x - 1)*(x + 1)**3/7
Determine u so that -2/9*u - 4/9 + 2/9*u**2 = 0.
-1, 2
Let 3*h + 3/2*h**2 - 9/2 = 0. Calculate h.
-3, 1
Let b(n) = n - 18. Let u be b(14). Let q be (10/u)/((-4)/8). Factor -1/2*t**q - 3/2*t**3 + 0*t + 0 + 1/2*t**2 + 3/2*t**4.
-t**2*(t - 1)**3/2
Let k(i) be the first derivative of -i**6/35 + 2*i**5/35 + i**4/42 - 2*i**3/21 + 3*i + 1. Let r(u) be the first derivative of k(u). Factor r(d).
-2*d*(d - 1)**2*(3*d + 2)/7
Let t(p) be the first derivative of -p**7/350 + p**6/200 + p**2 - 2. Let h(o) be the second derivative of t(o). What is w in h(w) = 0?
0, 1
Let f(z) = -2*z**2 - 20*z - 28. Let p(k) = -k**2 - 9*k - 14. Let l(x) = -3*f(x) + 5*p(x). Find r, given that l(r) = 0.
-14, -1
Let n be -1*1/4 - 3/(-12). Factor -2/3*r**5 + 4/3*r**3 + 0*r**2 + 0*r**4 - 2/3*r + n.
-2*r*(r - 1)**2*(r + 1)**2/3
Let k(c) be the second derivative of c**7/14 + 2*c**6/5 + 9*c**5/20 - c**4 - 2*c**3 - 3*c. Let k(h) = 0. What is h?
-2, -1, 0, 1
Let r(t) be the third derivative of -t**6/720 + t**5/36 - 2*t**4/9 + 8*t**3/9 + 12*t**2. Factor r(h).
-(h - 4)**2*(h - 2)/6
Suppose g + 12 = 7. Let m be (-152)/(-280) - 3/g. Suppose -2/7*j**5 - 2/7*j - m*j**2 + 0 - 8/7*j**4 - 12/7*j**3 = 0. What is j?
-1, 0
Let n(y) be the first derivative of 4*y**5/5 + 7*y**4/4 + 2*y**3/3 - y**2/2 + 5. Factor n(j).
j*(j + 1)**2*(4*j - 1)
Let w = -10 + 12. Determine x, given that -w*x**4 - 2*x**5 + 4*x**2 - 6*x**5 - 8*x**4 - 2*x**4 = 0.
-1, 0, 1/2
Suppose 2*k + 5*k = -8*k. Factor 0 + 2/3*g**2 + k*g + 2/3*g**3.
2*g**2*(g + 1)/3
Suppose -18*x + 1 - 1 = 0. Factor x - 2/7*c**2 + 0*c.
-2*c**2/7
Let z be (-4 - -9) + (8 - 10). Let s(c) be the first derivative of 2/27*c**z + 3 + 0*c + 2/9*c**2. Factor s(y).
2*y*(y + 2)/9
Let r(l) = -29 + 11*l - 5*l - 3*l**2 + 18*l - 8*l**2. Let t(j) = -39*j**2 + 84*j - 102. Let s(m) = -18*r(m) + 5*t(m). Find d, given that s(d) = 0.
2
Suppose -2*m**3 + 2*m**5 + 2*m**3 - 4*m + 11*m**2 - 6*m**3 - 2*m**4 - m**2 = 0. Calculate m.
-2, 0, 1
Let t(p) be the third derivative of -p**8/112 - p**7/70 + p**6/40 + p**5/20 + 12*p**2. Factor t(g).
-3*g**2*(g - 1)*(g + 1)**2
Let u(r) be the first derivative of 2*r**3/3 + 2*r**2 + 2*r + 5. Factor u(z).
2*(z + 1)**2
Let j(i) = 2*i - 9. Let k be j(6). Factor 3*s**3 + 2*s - 6*s**k + s**3.
-2*s*(s - 1)*(s + 1)
Let g(b) be the third derivative of b**8/1512 - 2*b**7/945 + b**5/135 - b**4/108 - b**2. Factor g(x).
2*x*(x - 1)**3*(x + 1)/9
Let k(n) be the second derivative of n**5/4 + n**4/4 - n**3/3 - 3*n. Suppose k(l) = 0. Calculate l.
-1, 0, 2/5
Find b, given that -2*b**4 + 4*b**3 + 88 - 86 - b - 3*b = 0.
-1, 1
Suppose -11*u + 18 = -4. Find v such that -3/4*v - 3/4*v**u + 3/4*v**4 + 0 + 3/4*v**3 = 0.
-1, 0, 1
Let y = 13 - 13. Let m be 2/(-36)*(-4 - y). Determine c, given that -2/9*c**2 + m*c + 4/9 = 0.
-1, 2
Let k(o) = 5*o**2 - 5. Let a(q) = -q**2 + 1. Suppose 0 = 4*m + 15 + 9. Let u(w) = m*a(w) - k(w). Factor u(p).
(p - 1)*(p + 1)
Let u be (10/6)/(4/6). Let y = 3 - u. Factor y + 0*m - 1/2*m**2.
-(m - 1)*(m + 1)/2
Suppose 3*s - 10 = -5*h, 4*h + 3*s - 8 = -0. Let m be (1/h)/(15/45). Solve -2*z**2 + 0 - m*z**3 - 1/2*z = 0 for z.
-1, -1/3, 0
Let l(i) be the first derivative of -3*i**4/28 - i**3/7 + 3*i**2/14 + 3*i/7 + 8. Let l(g) = 0. What is g?
-1, 1
Let h(c) = -c**5 + 7*c**4 + 23*c**3 + 5*c**2 - 22*c - 16. Let r(m) = 2*m**5 - 6*m**4 - 23*m**3 - 4*m**2 + 21*m + 16. Let n(p) = -3*h(p) - 2*r(p). Factor n(i).
-(i - 1)*(i + 1)**2*(i + 4)**2
Let v(c) be the third derivative of c**7/735 - c**6/420 - c**5/70 + c**4/84 + 2*c**3/21 + 11*c**2. Factor v(y).
2*(y - 2)*(y - 1)*(y + 1)**2/7
Suppose -3*u + 4*p - 5*p + 10 = 0, 4 = p. Factor u*d**2 - 4/5 - 6/5*d.
2*(d - 1)*(5*d + 2)/5
Let a = -9 - -11. Factor -1/4*q**4 - 1/4*q**a + 0*q + 1/2*q**3 +