4 + 0 - 10/17*h + 10/17*h**3.
2*h*(h - 1)*(h + 1)*(h + 5)/17
Let n(w) be the first derivative of -w**4/2 + 11*w**3/3 - 65*w**2/16 - 169*w/8 - 439. Factor n(m).
-(m + 1)*(4*m - 13)**2/8
Factor -108*w**3 + 35*w + 2*w**4 - 35*w - 36*w**2 + 94*w**3.
2*w**2*(w - 9)*(w + 2)
Let q(k) be the third derivative of 0 + 3/200*k**6 - 1/100*k**5 - 3/10*k**4 - 26*k**2 + 2/5*k**3 + 0*k. Factor q(c).
3*(c - 2)*(c + 2)*(3*c - 1)/5
Let k(y) be the second derivative of y**5/80 + 5*y**4/48 + 11*y - 5. Solve k(c) = 0 for c.
-5, 0
Let b(n) be the first derivative of n**4/4 + 5*n**3 + 27*n**2/2 - 31*n - 41. Let c(i) be the first derivative of b(i). Factor c(l).
3*(l + 1)*(l + 9)
Let h(u) = -3*u**2 - 2*u + 4. Let y(s) = s**2 - 4*s - 1. Let l(n) = -h(n) - 4*y(n). Factor l(r).
-r*(r - 18)
Factor 16*p**2 + 4*p**4 + 30*p**3 - 26*p**3 - 24*p**2.
4*p**2*(p - 1)*(p + 2)
Suppose 5*g - 21 = t, -61*t + 65*t + 21 = -g. Factor 11/2*s - 1/2*s**3 - 2*s**2 - g.
-(s - 1)**2*(s + 6)/2
Let g(d) = d**3 - 4*d**2 - 8*d + 15. Let f be g(5). Let l(o) be the second derivative of -5*o + 1/36*o**3 + 1/72*o**4 - 1/6*o**2 + f. Factor l(a).
(a - 1)*(a + 2)/6
Let 2192*k**4 - 2187*k**4 - 7*k**3 + 20*k**2 - 13*k**3 = 0. Calculate k.
0, 2
Let b(p) = -2*p**2 + 75*p - 142. Let x be b(2). Factor 2/15*q**5 + 2/15*q**2 + 2/5*q**4 + 0 + x*q + 2/5*q**3.
2*q**2*(q + 1)**3/15
Suppose -l = 3*v - 12, 43*v - 47*v - l + 15 = 0. Factor 1/5*h**4 + 9/5*h**2 - h**v + 2/5 - 7/5*h.
(h - 2)*(h - 1)**3/5
Let r(j) be the third derivative of j**6/210 + 23*j**5/105 + 529*j**4/168 + 5*j**2 + 8*j. Find y, given that r(y) = 0.
-23/2, 0
Let r(n) be the second derivative of -n**7/231 + 7*n**5/110 + n**4/33 - 4*n**3/11 - 8*n**2/11 + n + 117. Let r(s) = 0. What is s?
-2, -1, 2
Let y(g) be the third derivative of -1/60*g**5 - 1/336*g**8 + 0*g - 12*g**2 + 0*g**3 + 0*g**4 - 1/40*g**6 - 1/70*g**7 + 0. Factor y(z).
-z**2*(z + 1)**3
Factor -195*m - 15/2*m**3 + 0 + 595/2*m**2.
-5*m*(m - 39)*(3*m - 2)/2
Factor 9/2*u**3 + 21/2*u - 21*u**2 + 36.
3*(u - 3)*(u + 1)*(3*u - 8)/2
Let w(l) = -3*l**2 + 7*l. Let t(x) = -4*x**2 + 6*x. Let c(r) = -5*t(r) + 4*w(r). Let j be c(1). Suppose -j + 4*b - 2/3*b**2 = 0. What is b?
3
Let n be (3/9)/(-1) + (-26)/(-24). Let 3/4 - 3/2*c + n*c**2 = 0. Calculate c.
1
Determine o, given that 20*o**4 + 0*o**2 + 2*o**2 - 36*o**4 + 14*o**4 = 0.
-1, 0, 1
Factor 7/3 - 1/3*k**2 - 2*k.
-(k - 1)*(k + 7)/3
Suppose -8*i - 24 = -6*i. Let b = 14 + i. Determine c so that 2/3*c**b + 0 + 4/3*c**3 + 0*c - 2*c**4 = 0.
-1/3, 0, 1
Let z(f) be the second derivative of f**4/18 - 76*f**3/9 - 350*f. Let z(u) = 0. Calculate u.
0, 76
Suppose -11*t + 8 = -14. Factor 2629 - 17*w - 11*w - 2599 - t*w**2.
-2*(w - 1)*(w + 15)
Let b(a) be the first derivative of a**4/48 + a**3/6 + 3*a**2/8 + 2*a + 10. Let g(r) be the first derivative of b(r). Factor g(y).
(y + 1)*(y + 3)/4
Let a = -801/56 - -101/7. Let t(h) be the first derivative of -5/6*h**3 - 6 + 3/4*h**2 + 9/2*h + a*h**4. Factor t(i).
(i - 3)**2*(i + 1)/2
Factor 0 - r**3 - 3/2*r + 11/4*r**2.
-r*(r - 2)*(4*r - 3)/4
Let f = 529/54 - 505/54. What is j in -f + 2/3*j - 2/9*j**3 + 0*j**2 = 0?
-2, 1
Factor -10 + 25*h**2 + 40*h + 5*h**3 + 10 + 20.
5*(h + 1)*(h + 2)**2
Determine s so that 320/3*s - 20/3*s**3 + 512/9 + 386/9*s**2 + 2/9*s**4 = 0.
-1, 16
Let z be 35/(-5)*2*-2. Suppose 5*h = -4*d + z, -d + 24 = d + 5*h. Factor 85 + d*r**3 - 85 - r**4 - r**2.
-r**2*(r - 1)**2
Let t(i) be the second derivative of -i**7/630 - i**6/36 - 2*i**5/15 - 25*i**4/12 + 23*i. Let h(q) be the third derivative of t(q). Factor h(j).
-4*(j + 1)*(j + 4)
Let r(v) be the third derivative of v**7/105 - v**6/15 + 2*v**5/15 + 34*v**2. Let r(i) = 0. What is i?
0, 2
Let i(s) be the first derivative of -s**4/14 - 10*s**3/21 - 4*s**2/7 + 53. Factor i(r).
-2*r*(r + 1)*(r + 4)/7
Factor -12/5 - 4/5*z**3 - 28/5*z - 4*z**2.
-4*(z + 1)**2*(z + 3)/5
Suppose 8*i + 65 - 89 = 0. Let o = 87 + -169/2. Find u such that -o*u**4 + 0 - u**i + 0*u + 0*u**2 + 7/2*u**5 = 0.
-2/7, 0, 1
Let x(u) = -u**2 - 7*u - 1. Let n be x(-7). Let z(p) = 69*p**3 - 155*p**2 - 87*p - 7. Let k(d) = -d**3 - d**2 - d - 1. Let j(l) = n*z(l) - 5*k(l). Factor j(f).
-4*(f - 3)*(4*f + 1)**2
Let o(a) be the second derivative of a**6/40 - 27*a**5/80 + 9*a**4/8 + a**3/2 - 9*a**2 - 233*a. Factor o(q).
3*(q - 6)*(q - 2)**2*(q + 1)/4
Let f be (576/480)/(((-6)/16)/(171/(-12))). Factor -1191/5*z**2 - 12/5*z**4 + 1026/5*z + f*z**3 - 243/5.
-3*(z - 9)**2*(2*z - 1)**2/5
Let x = -166 - -113. Let q = x + 88. Factor 8*k**4 - q*k**3 + 11*k**3 + 8 - 12*k**4 - 52*k**2 - 24 - 48*k.
-4*(k + 1)**2*(k + 2)**2
Let q(b) = -b**4 - 23*b**3 - b**2 + 7*b - 7. Let a(j) = 3*j**2 - 4*j**3 - 4*j**2 - j**4 - 6*j**3 + 3*j - 3 - j**3. Let v(u) = 7*a(u) - 3*q(u). Factor v(c).
-4*c**2*(c + 1)**2
Let 47 - 43*j + 11*j - 5*j**2 + 43 - 53*j = 0. Calculate j.
-18, 1
Suppose 0 = 95*b - 24*b - 639. Let s(f) be the second derivative of -1/150*f**6 - 1/30*f**4 + 0*f**3 + 0*f**2 + b*f + 3/100*f**5 + 0. Factor s(r).
-r**2*(r - 2)*(r - 1)/5
Suppose 8*c + 15 = 23*c. Suppose 0 = -5*p + 3*h + c, h - 13 = -0*p - 5*p. Factor 1/2*z**3 + 0 + 1/2*z**4 - z**p + 0*z.
z**2*(z - 1)*(z + 2)/2
Let l(s) be the third derivative of -s**5/330 - s**4/44 + 4*s**3/33 + 530*s**2. Factor l(p).
-2*(p - 1)*(p + 4)/11
Let p(z) be the first derivative of -16*z**6/33 - 464*z**5/55 + 375*z**4/22 - 26*z**3/3 + 16*z**2/11 - 344. Solve p(a) = 0.
-16, 0, 1/4, 1
Factor -5*n**4 + n**4 - 5*n**4 + 9*n**4 - 2*n**5.
-2*n**5
Let t = 31 - 29. Factor -9*a**3 - 3 - 9*a**2 - 9*a + 6*a**3 + 0*a**t.
-3*(a + 1)**3
Let u(i) be the second derivative of -i**4/36 - 32*i**3/3 - 1536*i**2 + 241*i. Suppose u(q) = 0. What is q?
-96
Let j be ((-8)/5)/(636/(-265)). Factor -1/3*d**2 - j*d - 1/3.
-(d + 1)**2/3
Let z(j) be the second derivative of -2*j**6/75 - 12*j**5/25 + 13*j**4/15 + 3*j + 203. Factor z(l).
-4*l**2*(l - 1)*(l + 13)/5
Factor -150 - 654*b - 396*b + 5*b**3 + 755*b - 140*b**2.
5*(b - 30)*(b + 1)**2
Let j(x) = -18*x**2 - 21*x - 15. Let c(b) = b**2 + b + 1. Let w = 23 - 8. Let d(q) = w*c(q) + j(q). Factor d(o).
-3*o*(o + 2)
Factor 5/4 + 1/4*z**2 + 3/2*z.
(z + 1)*(z + 5)/4
Let v(r) be the second derivative of 7*r**5/60 - 5*r**4/4 + 4*r**3/3 - 11*r**2 - 2*r. Let o(w) be the first derivative of v(w). Factor o(u).
(u - 4)*(7*u - 2)
Let x = -77 + 96. Suppose -5*p + x = u - 9*p, 0 = u + 5*p + 17. Let -2/7*t**2 + 0 + 4/7*t - 2/7*t**u = 0. Calculate t.
-2, 0, 1
Let u(m) be the first derivative of -6*m**5 - 155*m**4/4 - 115*m**3/3 + 255*m**2/2 + 45*m - 64. Find s, given that u(s) = 0.
-3, -1/6, 1
Let t(b) = -b**3 + 25*b**2 + 18*b - 25. Let v be t(26). Let i = -229 - v. Factor -1/4*f**3 + 0*f - 1/2*f**i - 1/4*f**5 + 0*f**2 + 0.
-f**3*(f + 1)**2/4
Find f, given that -3290 - 476*f - 2891*f**2 + 42895 + 2896*f**2 - 414*f = 0.
89
Let u be (102/(-54) - -3) + (-8)/48*4. Determine c, given that 0 + 2/9*c + 4/9*c**4 - u*c**2 + 0*c**3 - 2/9*c**5 = 0.
-1, 0, 1
Suppose -2*y + y = -4. Let m(t) be the first derivative of 35*t + 4*t**3 + 6*t**2 - 15*t - 16*t + 6 + t**y. Determine g, given that m(g) = 0.
-1
Let h(c) be the second derivative of c**7/1260 + c**6/90 + c**5/20 + 7*c**4/3 + 40*c. Let o(d) be the third derivative of h(d). Find u such that o(u) = 0.
-3, -1
Let s be (0 - 40)*(-483)/(-92). Let u = 212 + s. Factor 5/3*t**3 + 0*t**u + 10/3*t**4 + 0 + 0*t + 5/3*t**5.
5*t**3*(t + 1)**2/3
Let t(y) = -y**3 - 5*y**2 + 5*y - 1. Suppose 8 = 4*x - 2*x - 5*s, -s - 4 = 0. Let i be t(x). Factor -3*j**i + 3*j**4 + j**5 - j**5.
-3*j**4*(j - 1)
Let k(o) be the second derivative of -1/2*o**4 + 0 + 1/14*o**7 - o + 1/10*o**6 + 1/2*o**3 + 3/2*o**2 - 3/10*o**5. Factor k(w).
3*(w - 1)**2*(w + 1)**3
Let m = 22 + -19. Let r be m + -1 - 0/2. Factor r*c**3 + 1 - 11*c + 12*c - 5*c**2 + c**3.
(c - 1)**2*(3*c + 1)
Let u(f) = -11*f + 228. Let s be u(20). Let v = 8 + -4. Factor 19*d**3 + 7*d**3 + v*d**4 - 16*d**3 + 2*d + s*d**2.
2*d*(d + 1)**2*(2*d + 1)
Find v, given that -4/3*v**3 - 36 + 12*v + 4*v**2 = 0.
-3, 3
Factor -2*f**3 - 42*f + 11*f**3 + 16*f**2 - 6*f**3 - f**2 + 0*f**3.
3*f*(f - 2)*(f + 7)
Let g be (-4)/(-14) + 132/77. Factor -6*i**2 + 5*i**2 + 676*i**4 + 2*i**g + 15*i**2 - 208*i**3.
4*i**2*(13*i - 2)**2
Suppose -2*v + 8 = -b, -v + 2 = -3*v - 4*b. Suppose 4*w - a - 3 = 0, 0 = -w - 4*w + a + v. Factor 0*