z**2. Factor d(b).
2*b*(b + 2)/7
Factor -16/3*u**4 - 2/3*u**5 - 10/3*u - 12*u**3 - 32/3*u**2 + 0.
-2*u*(u + 1)**3*(u + 5)/3
Let h(j) be the second derivative of -j**8/504 + j**6/90 - j**4/36 - 2*j**2 + 22*j. Let b(m) be the first derivative of h(m). Factor b(z).
-2*z*(z - 1)**2*(z + 1)**2/3
Factor -4 - 55*n**3 + 18*n**2 + 4 + 29*n**3 + 28*n**3.
2*n**2*(n + 9)
Let s be -3 + 26/8 - (-22)/(-120). Let j(z) be the third derivative of 0*z - s*z**4 + 0*z**3 - 1/60*z**6 - 2/25*z**5 + 0 - 4*z**2. Solve j(y) = 0 for y.
-2, -2/5, 0
Let g(c) be the third derivative of 0*c - 3/8*c**3 + 1/16*c**4 + 1/80*c**5 + 11*c**2 + 0. Solve g(f) = 0 for f.
-3, 1
Let n(w) be the third derivative of w**5/450 - 73*w**4/90 + 5329*w**3/45 - 227*w**2. Factor n(x).
2*(x - 73)**2/15
Let j(f) = 3*f**3 + 58*f**2 - 97*f + 171. Let z be j(-21). Factor -9/5*l + 6/5*l**4 + 8/5*l**z + 0 - 6/5*l**2 + 1/5*l**5.
l*(l - 1)*(l + 1)*(l + 3)**2/5
Let t(x) be the second derivative of -x**5/4 - 5*x**4/6 + 50*x**3/3 - 60*x**2 + 100*x. Factor t(h).
-5*(h - 2)**2*(h + 6)
Let p = 165 + -163. Let f(o) be the second derivative of -3*o - 3/2*o**p + 0 - 1/2*o**3 + 1/4*o**4 + 3/20*o**5. Determine z so that f(z) = 0.
-1, 1
Suppose -14*d = 3*d - 68. Let g be -1*(3/(-9) - 0). Factor -1/3*r**5 - 1/3*r**2 + g*r**d + 0*r + 0 + 1/3*r**3.
-r**2*(r - 1)**2*(r + 1)/3
Let z be (10 - 13)/(-3) - (-22)/(-24). Let j(p) be the second derivative of 1/48*p**4 + 1/8*p**2 - 6*p + 0 - z*p**3. Factor j(r).
(r - 1)**2/4
Let o(y) be the third derivative of -y**6/200 + y**5/25 + 3*y**4/40 - 9*y**3/5 - 224*y**2. Factor o(v).
-3*(v - 3)**2*(v + 2)/5
Let i(c) be the first derivative of c**7/210 + c**6/30 + c**5/15 + 20*c**3/3 + 14. Let a(w) be the third derivative of i(w). Solve a(q) = 0.
-2, -1, 0
Let d(q) be the third derivative of -q**7/7560 - q**6/720 + q**5/90 + q**4/2 + 14*q**2. Let g(t) be the second derivative of d(t). Factor g(s).
-(s - 1)*(s + 4)/3
Let a(y) = -5*y**5 - 3*y**4 - 58*y**3 - 138*y**2 - 90*y + 3. Let h(x) = 2*x**5 + x**3 - x**2 - 1. Let r(p) = -a(p) - 3*h(p). Factor r(v).
-v*(v - 10)*(v + 1)*(v + 3)**2
Let v be ((-10)/6)/((-13)/(-5 + 44)). Let j(o) be the second derivative of -1/6*o**4 + 1/5*o**6 + 0*o**2 + 2/21*o**7 + 0 + 0*o**v + 0*o**3 + 4*o. Factor j(d).
2*d**2*(d + 1)**2*(2*d - 1)
Let m be (-45)/(-25) + 0 + (8 - 274/30). Factor 32*q - 16/3*q**3 - 64/3 + 4*q**4 - 32/3*q**2 - m*q**5.
-2*(q - 2)**4*(q + 2)/3
Let n(v) = -v**3 + 2*v**2 - 39*v + 128. Let l be n(3). Find p, given that -4/7*p - 10/7*p**2 + l*p**3 + 0 = 0.
-2/7, 0, 1
Let k(v) be the first derivative of 3*v**4/4 + 7*v**3/3 + v**2 + 13. Solve k(t) = 0 for t.
-2, -1/3, 0
Let r(n) be the third derivative of n**8/576 - 19*n**7/420 + n**6/45 - 239*n**2 - 2*n. Solve r(u) = 0 for u.
0, 2/7, 16
Let n(a) be the second derivative of 11*a**4/4 - 57*a**3/2 + 15*a**2 - 4*a + 31. Factor n(j).
3*(j - 5)*(11*j - 2)
Let d(z) be the second derivative of z**5/35 + 6*z**4/7 + 54*z**3/7 - 31*z. Factor d(j).
4*j*(j + 9)**2/7
Let g(s) be the second derivative of -5/2*s**2 - 3/8*s**4 + 2*s + 1/3*s**3 + 1/6*s**5 + 0. Let k(d) be the first derivative of g(d). Solve k(m) = 0.
2/5, 1/2
Let y = -12 - -14. Factor y*s + 3*s - 10 + 4*s + 6*s - 5*s**3.
-5*(s - 1)**2*(s + 2)
Suppose 0 = 303*d - 450 - 222 + 66. Factor -2*x - 3/2 - 1/2*x**d.
-(x + 1)*(x + 3)/2
Let y = -3651 + 3655. Suppose 2/7*p - 2/7*p**y + 0 - 2/7*p**3 + 2/7*p**2 = 0. What is p?
-1, 0, 1
Find l, given that -4/5*l**3 + 4*l**2 + 0 - 24/5*l = 0.
0, 2, 3
Let x(w) be the third derivative of -18*w**2 + 0*w**3 - 1/270*w**6 - 2/3*w**4 - 4/45*w**5 + 0 + 0*w. Factor x(m).
-4*m*(m + 6)**2/9
Let q(a) = a**3 - 7*a**2 + a - 7. Let z be q(7). Let p be 1 + 0 + -1 - 0. Find o, given that 0*o**3 + p + 3/2*o**2 - 3/2*o**4 + z*o = 0.
-1, 0, 1
Let b be 3 + (-125)/45 + (-1037)/9. Let h = -113 - b. Factor -3/2 - 1/2*t - 1/6*t**3 + 5/6*t**h.
-(t - 3)**2*(t + 1)/6
Let a be (-9)/(-162)*4 + (-19)/(-36). Find s, given that a*s**2 + 6*s + 0 = 0.
-8, 0
Factor 90 + 14*d + d**3 + 12*d**2 + 8*d + 4*d + 43*d + 4*d**2.
(d + 3)**2*(d + 10)
Suppose -4*r - r - q = 65, -2*r = q + 23. Let d be 32/14 - (-4)/r. Suppose 11*s + 32*s**3 + s - 18*s**4 - 44*s**d - 2 + 4*s + 16*s**3 = 0. What is s?
1/3, 1
Let k = -1469/2 + 736. Let g(t) be the first derivative of -3/4*t**4 + 1 + 3/5*t**5 + k*t**2 + 0*t - t**3. Factor g(z).
3*z*(z - 1)**2*(z + 1)
Suppose 1/3*q**4 - 1/9 - 2/9*q**3 - 2/9*q**2 - 1/9*q**5 + 1/3*q = 0. What is q?
-1, 1
Let c = -48 - -57. Let -10*v**4 + v**4 - c*v**3 + 9*v**3 + 12*v**2 - 3*v**5 = 0. What is v?
-2, 0, 1
Let c be 0 + (-2)/5*(-25)/2. Let r(n) be the second derivative of 0*n**4 - 1/80*n**c + 0 + 0*n**3 - 5*n + 0*n**2 + 1/120*n**6. Suppose r(h) = 0. Calculate h.
0, 1
Let j be (-42)/63 - (-2)/3. Let l(t) be the first derivative of j*t + 3 + 1/2*t**2 + t**3. Factor l(c).
c*(3*c + 1)
Let h = 1609/4809 + -2/1603. Let z(c) be the first derivative of -16/3*c**3 + 6*c**4 - 12/5*c**5 - 11 + h*c**6 + 0*c + 0*c**2. Factor z(i).
2*i**2*(i - 2)**3
Let g be (-6)/22*(-1056)/432. Factor g*k + 4/3 - 2/3*k**2.
-2*(k - 2)*(k + 1)/3
Suppose 6*q - 7*q - 9 = 0. Let l be q + 6 + 10/2. Find p such that -1 - 3/2*p - 1/2*p**l = 0.
-2, -1
Let g be 20/(-210)*-28*(0 + 15/10). Factor -3/2 + 15/2*t - 15*t**2 + 3/2*t**5 - 15/2*t**g + 15*t**3.
3*(t - 1)**5/2
Let d(p) be the third derivative of p**5/140 - 11*p**4/56 - 6*p**3/7 + 4*p**2 + 16*p. Factor d(a).
3*(a - 12)*(a + 1)/7
Let o be ((-66)/44 + (-3)/(-1))*2. Determine m, given that -2*m + 1/2 - o*m**2 + 5/2*m**4 + 2*m**3 = 0.
-1, 1/5, 1
Let m(q) = -97*q + 41*q + 47*q - 8 + 4*q**4 + 6*q**3 + 6*q**2. Let u(v) = -3*v**4 - 5*v**3 - 6*v**2 + 8*v + 8. Let o(c) = -4*m(c) - 5*u(c). Factor o(w).
-(w - 2)**2*(w + 1)*(w + 2)
Let h(v) be the third derivative of v**9/60480 - v**7/10080 - 5*v**4/4 - 13*v**2. Let o(s) be the second derivative of h(s). Solve o(i) = 0 for i.
-1, 0, 1
Let c be 725/(-65) + (-6)/(-39). Let g = -7 - c. Factor 4*q**4 + g*q + q**2 + 5*q**2 - 8*q - 6*q**4.
-2*q*(q - 1)**2*(q + 2)
Solve 2/7*c**3 + 4/7*c**2 - 30/7*c - 72/7 = 0 for c.
-3, 4
Let o(u) be the third derivative of 0*u + 5/24*u**3 + 5/48*u**4 - 14*u**2 + 0 + 1/48*u**5. Factor o(z).
5*(z + 1)**2/4
Determine y, given that y**5 + 3*y + 2*y**3 - 6*y**3 + y - y**3 = 0.
-2, -1, 0, 1, 2
Suppose -7*n + 70 = -35. Suppose -3*w + 8*w = n. Determine f so that 1/5*f**w + 4/5*f + 4/5*f**2 + 0 = 0.
-2, 0
Let r(l) be the second derivative of -l**7/14 + 2*l**6/5 + 81*l**5/20 + 19*l**4/2 + 8*l**3 - 6*l - 14. Find w such that r(w) = 0.
-2, -1, 0, 8
Solve -6/5*h**2 + 0 + 0*h + 2/5*h**3 = 0 for h.
0, 3
Let o(b) = 6*b + 27. Let l be o(-4). Let j(q) be the second derivative of 0 + 3*q - q**2 - 1/2*q**l - 1/12*q**4. Factor j(n).
-(n + 1)*(n + 2)
Let w = -531 - -534. Let o(j) be the first derivative of 0*j - 1/3*j**2 - 1/6*j**4 + 7 - 4/9*j**w. Factor o(v).
-2*v*(v + 1)**2/3
Factor 2/13*q**2 + 0 - 34/13*q.
2*q*(q - 17)/13
Suppose 52*d = 27*d. Let y(s) be the second derivative of -1/14*s**3 + d*s**2 - 1/84*s**4 + 0 - 3*s. Determine t, given that y(t) = 0.
-3, 0
Let w(a) be the second derivative of 5*a + 1/90*a**5 + 0*a**3 + 0 + 0*a**4 + 11/2*a**2. Let r(x) be the first derivative of w(x). Factor r(h).
2*h**2/3
Let d(y) = -y**3 - 24*y**2 - 78*y + 42. Let a be d(-20). Let q be (-4)/(2/4*-7). Factor 0 + 2/7*c + q*c**4 + 8/7*c**a + 2/7*c**5 + 12/7*c**3.
2*c*(c + 1)**4/7
Suppose 3*w + 6752 = 11*w. Factor -3*k**2 - k**3 - 844 + w.
-k**2*(k + 3)
Let d(v) be the first derivative of 3*v**4/4 + 5*v**3 + 3*v**2 - 24*v + 3. Factor d(r).
3*(r - 1)*(r + 2)*(r + 4)
Let t(u) be the first derivative of 0*u**2 - 1/60*u**6 + 0*u + 0*u**3 + 1/10*u**4 + 0*u**5 - 5. Solve t(w) = 0.
-2, 0, 2
Let j be (-5)/((-315)/(-28)) - (-8)/12. Find u such that 0*u**2 + j*u**3 + 0 + 0*u = 0.
0
Suppose 6*a - 11*a = 0. Factor 6*h**3 + 12*h**2 + 26*h**4 - 25*h**4 + a*h**3 + 8*h.
h*(h + 2)**3
Let g(o) = -o. Let n(d) = -2*d**3 + 6*d**2 - 6*d. Let s = -34 + 36. Suppose -7*m - 5 = -s*m. Let a(k) = m*n(k) + 2*g(k). Factor a(q).
2*q*(q - 2)*(q - 1)
Let h(m) be the third derivative of -1/30*m**5 + 0 + 0*m - 5/168*m**8 + 1/6*m**4 + 0*m**3 - 3/20*m**6 + 6*m**2 + 13/105*m**7. Solve h(w) = 0 for w.
-2/5, 0, 1
Factor 2/7*s**2 - 2/7*s**4 + 6/7*s**3 + 0 - 6/7*s.
-2*s*(s - 3)*(s - 1)*(s + 1)/7
Suppose 36 - 29*i - 20*i - 45*i