*o(d). Factor s(q).
2*(q - 2)*(q - 1)*(q + 2)
Let x(s) be the second derivative of -3*s**5/140 - s**4/7 + 15*s**3/14 + 27*s**2/7 + 381*s. Solve x(o) = 0.
-6, -1, 3
Let z(n) be the first derivative of -n**3/5 + 69*n**2/5 - 1587*n/5 + 56. Determine p, given that z(p) = 0.
23
Suppose -8*f = -5 - 19. Factor -6*o**2 + 5*o**4 + 4*o**4 - f*o**4 + 3*o**5 + 0*o**4 - 3*o.
3*o*(o - 1)*(o + 1)**3
Let q(m) be the second derivative of m**6/120 + m**5/10 + 23*m**4/48 + 7*m**3/6 + 3*m**2/2 - 97*m. Factor q(o).
(o + 1)*(o + 2)**2*(o + 3)/4
Let s(p) be the second derivative of -1/4*p**4 - 3/20*p**5 + p + 0*p**3 + 0*p**2 + 3. Factor s(l).
-3*l**2*(l + 1)
Suppose 3*u + 2 - 3 = 8. Factor -2/5*a**2 + 1/5*a - 1/5*a**u + 2/5.
-(a - 1)*(a + 1)*(a + 2)/5
Let t(n) be the first derivative of 8*n**3 - 9*n**2 + 3*n + 59. Factor t(k).
3*(2*k - 1)*(4*k - 1)
Suppose 5*m - m = r + 14, 0 = 5*r + 2*m - 40. Let h(j) be the second derivative of 0 - 2/5*j**5 + 1/15*j**r + 0*j**2 - 2*j - 2/3*j**3 + 5/6*j**4. Factor h(y).
2*y*(y - 2)*(y - 1)**2
Let l(c) be the second derivative of -7*c**4/6 - 39*c**3 + 34*c**2 + 57*c + 1. Factor l(b).
-2*(b + 17)*(7*b - 2)
Let c = -40/31 - -902/651. Let q(g) be the first derivative of 0*g - 1/14*g**4 + 1/7*g**2 - 1 - c*g**3 + 2/35*g**5. Let q(t) = 0. Calculate t.
-1, 0, 1
Suppose 15*r + 46 = 38*r. Factor 4/9 + 2/9*n**r - 2/3*n.
2*(n - 2)*(n - 1)/9
Let d(k) = -5*k - 1. Let a be d(-1). Suppose 2*x - 1 = t, -5*t = -2*x - a - 7. Factor 60*z**t + 26*z**5 - 75*z**4 - 7*z**5 + z**5 + 22*z**2 - 2*z**2.
5*z**2*(z - 2)**2*(4*z + 1)
Find t such that -1/5*t**2 - 6/5 - 7/5*t = 0.
-6, -1
Let p = 107 - 97. Let o be p/144*10 + (-30)/120. Find z such that 2/9*z**4 - 1/9*z + 2/9*z**3 + 2/9 - o*z**2 - 1/9*z**5 = 0.
-1, 1, 2
Let o be ((-24)/(-9) + -2)/(14/42). Factor -8/21*l - 16/21*l**o + 50/7*l**4 + 0 + 10/3*l**3.
2*l*(3*l - 1)*(5*l + 2)**2/21
Let u = -94 - -98. Factor -2*i**2 - i**5 + 0*i**2 - 3*i**2 + i**u + 3*i**3 + 2*i.
-i*(i - 1)**3*(i + 2)
Let s(y) be the first derivative of -y**9/756 - y**8/420 + y**7/210 + y**6/90 - 5*y**3/3 - 42. Let q(m) be the third derivative of s(m). Factor q(k).
-4*k**2*(k - 1)*(k + 1)**2
Let d(c) be the second derivative of c**8/1680 + c**7/105 + c**6/15 + 4*c**5/15 + c**4/6 - 16*c. Let p(m) be the third derivative of d(m). Factor p(s).
4*(s + 2)**3
Let j be (-4 + -14)/(-1*2). Let f be (0 + -1)*j/(-3). Suppose -s**3 + 2*s**4 - 5*s**5 - 2*s**2 + 2*s**f + 4*s**3 = 0. Calculate s.
-1, 0, 2/5, 1
Let m(k) = -4*k**2 - 3*k - 13. Let r(z) be the first derivative of z**3/3 + z**2/2 + 4*z - 15. Let w(a) = 4*m(a) + 14*r(a). What is p in w(p) = 0?
-1, 2
Suppose -q - 3*j = -j + 10, -4*q + j - 22 = 0. Let n be (-192)/33 - 0 - q. Let -n*d + 2/11*d**2 + 0 = 0. What is d?
0, 1
Let x(j) = -j**4 + 1. Let w(l) = 5*l**4 - 42*l**3 + 180*l**2 - 150*l - 377. Let f(n) = -w(n) - 2*x(n). Find c, given that f(c) = 0.
-1, 5
Let u = 8417/124 + -39/62. Let g = u + -67. Factor 1/2*y + 0 - g*y**2.
-y*(y - 2)/4
Let y = 2 + 4. Suppose 4*z + 2*v - y*v = 4, -3*z - 3*v + 21 = 0. Suppose 4*a - a**4 + a**2 - 9*a - 2 + 2*a**4 + a**3 - z*a**2 = 0. Calculate a.
-1, 2
Suppose 18 = -0*m + 2*m. Let t(u) = -u**2 + 5*u - 2. Let w be t(2). Solve -16*z**2 - m*z**3 - 2*z**3 + 15*z**3 + 14*z**4 + 2*z**w - 4*z = 0 for z.
-1, -1/4, 0, 1
Let a = 161 + -158. Let s(i) be the first derivative of -a + 1/12*i**3 + 1/4*i + 1/4*i**2. Factor s(d).
(d + 1)**2/4
Factor -22 + 4*u + 3 - 5 + u**2 + 19*u.
(u - 1)*(u + 24)
Solve 0*j**2 + 0 + 3/7*j**5 + 0*j**4 + 0*j**3 + 0*j = 0 for j.
0
Suppose -3*w - 9 = 3*y, -5*y - 14 = -3*w + 17. Suppose w + 7 = 3*c. Factor 2*v + 5*v**2 - 4*v**2 + 47*v**3 - 48*v**c.
-v*(v - 2)*(v + 1)
Let b be (-800)/(-3) - 9/(-27). Let r = b - 149. Factor y**2 - y - r + 118.
y*(y - 1)
Let g = 409 + -406. Let k(v) be the third derivative of 0*v - 1/60*v**5 + 6*v**2 + 0 - 1/24*v**4 + 1/3*v**g. Let k(f) = 0. Calculate f.
-2, 1
Let g(a) = -13*a - 126. Suppose -9*j = 76 + 14. Let s be g(j). Find n such that 19/2*n - 4*n**s - 8*n**5 + 1 + 28*n**2 + 47/2*n**3 = 0.
-1, -1/4, 2
Let n(r) = r**4 + r - 1. Let c(l) = -4*l**5 + 24*l**4 - 72*l**3 + 88*l**2 - 56*l + 16. Let s(x) = -c(x) - 4*n(x). Let s(q) = 0. What is q?
1, 3
Suppose 2*f = -3*y + 1026, 9*y - 5*f - 1735 = 4*y. Let 0*h**2 - y*h - 3*h**2 + 338*h + 9 = 0. What is h?
-3, 1
Suppose 4*p + 0*p - 5*d + 952 = 0, -d = -4*p - 936. Let q = 941/4 + p. Solve -1/2*h - 7/4*h**3 - q*h**2 + 0 = 0 for h.
-1, -2/7, 0
Let o(l) = -8*l**3 + 2*l**2 + 4*l + 6. Let j(c) = 7*c**3 - c**2 - 3*c - 5. Let v(t) = -6*j(t) - 5*o(t). Let v(x) = 0. What is x?
-1, 0
Let m(x) = -3*x**5 - 8*x**4 - 3*x**3 - x**2. Let g(u) = u**2. Suppose 3*y - 1 + 4 = 0. Let h(w) = y*m(w) - 3*g(w). Factor h(t).
t**2*(t + 1)*(t + 2)*(3*t - 1)
Let t = -1639 + 1643. Suppose 2/3*s**3 + 1/3*s**2 - 1/6*s**t - 3/2 - 2*s = 0. Calculate s.
-1, 3
Let x(i) be the second derivative of 5/42*i**7 + 0*i**4 + 0*i**2 + 0 + 0*i**5 - 17*i + 1/6*i**6 + 0*i**3. Find r such that x(r) = 0.
-1, 0
Let h be 16/(-44)*55/(-10). Let g be (1/h)/(4/16). Let -2/5*u**4 + 0 + 2/5*u + 1/5*u**3 + u**g = 0. Calculate u.
-1, -1/2, 0, 2
Let a be (8/(-3))/(3/(-9)). Let t = -4 + a. Suppose -64*c**t + 10*c - 1 + 112*c**3 + 4*c - c - 60*c**2 = 0. What is c?
1/4, 1
Suppose 0 = -24*s + 33*s - 45. Suppose -8 = -4*w + 4. Factor 0 + 9*i + 0 + 1 + w*i**2 + s.
3*(i + 1)*(i + 2)
Let s = 711 - 8531/12. Let j(u) be the third derivative of 0*u**3 + 1/24*u**6 + 10*u**2 - 5/336*u**8 + 0 + 0*u**4 + s*u**5 - 1/42*u**7 + 0*u. Factor j(d).
-5*d**2*(d - 1)*(d + 1)**2
Let w be 1 + -1 - ((-230)/(-138) - 33/9). Solve 3/5*l**4 - 9/5*l**3 + 0 + 6/5*l**w + 0*l = 0 for l.
0, 1, 2
Let r(y) be the first derivative of -y**4 - 7*y**3/2 - 7*y**2/4 + 3*y + 300. Factor r(h).
-(h + 1)*(h + 2)*(8*h - 3)/2
Let r(g) be the third derivative of -g**8/168 + 6*g**7/35 - 27*g**6/20 + 3*g**2 - 25. Factor r(k).
-2*k**3*(k - 9)**2
Let a be 6 + 78/(-52)*(128/(-12))/(-4). Solve 4/9 + 2/9*i**3 - 2/3*i + 0*i**a = 0.
-2, 1
Let l(u) be the third derivative of -5*u**2 + 0 + 1/60*u**5 + 0*u + 0*u**3 + 1/150*u**6 + 1/60*u**4 + 1/1050*u**7. Solve l(p) = 0.
-2, -1, 0
Let w(d) be the first derivative of d**4/6 - 74*d**3/3 + 1008*d**2 + 6272*d/3 + 261. Solve w(o) = 0.
-1, 56
Let x(w) be the second derivative of w**6/45 + w**5/30 - w**4/6 - w**3/9 + 2*w**2/3 - w - 3. Suppose x(r) = 0. Calculate r.
-2, -1, 1
Suppose -8 - 1/2*j**2 + 5*j = 0. Calculate j.
2, 8
Let k = 21895/9 + -2427. Determine u so that -8/3 - k*u + 20/9*u**2 = 0.
-2/5, 3
Let g be (5 - 5)/(0 - 4). Let w be ((-8)/12 + g)*-3. Factor -2*n**3 + 2 + 10*n**2 - 7*n - 4*n**2 + w*n**2 - n**2.
-(n - 2)*(n - 1)*(2*n - 1)
Let t(l) be the first derivative of 5*l**4/7 - 4*l**3/3 - 6*l**2 - 36*l/7 + 130. Find o such that t(o) = 0.
-1, -3/5, 3
Let g(i) be the second derivative of -17*i + 12*i**2 + 7*i**3 + 0 + 3/20*i**5 + 7/4*i**4. What is q in g(q) = 0?
-4, -2, -1
Let m(j) = -15*j**2 - 35*j - 5. Let l(b) be the first derivative of -8*b**3/3 - 9*b**2 - 3*b - 12. Let s(i) = 5*l(i) - 3*m(i). Suppose s(w) = 0. What is w?
-3, 0
Let g = -5401 - -10811/2. Let -g - 3/2*t**2 - 6*t = 0. What is t?
-3, -1
Factor -5*b**2 + 5*b**3 - 1 - 16 - 10*b + 17.
5*b*(b - 2)*(b + 1)
Let s(q) be the first derivative of -q**6/630 + q**5/105 + q**4/14 + 14*q**3/3 - 5. Let r(t) be the third derivative of s(t). Factor r(i).
-4*(i - 3)*(i + 1)/7
Let z be ((-221)/85)/(30/(-75)). Factor -z*d**3 - d + 2*d**4 + 11/2*d**2 + 0.
d*(d - 2)*(d - 1)*(4*d - 1)/2
Factor -4*v**2 + 83*v**4 - 9*v**5 - 79*v**4 + 16*v**5 - 5*v**5 - 2*v**3.
2*v**2*(v - 1)*(v + 1)*(v + 2)
Let h(c) be the third derivative of -c**8/560 + c**6/20 - c**5/5 + 3*c**4/8 - 2*c**3/5 + 79*c**2. Factor h(l).
-3*(l - 1)**4*(l + 4)/5
Let f(v) = -v**2 + 91*v - 428. Let h be f(5). Let g(r) be the second derivative of 0 + 15/2*r**3 + 4*r**4 - 27*r**h + 9/20*r**5 - 9*r. Factor g(p).
3*(p + 3)**2*(3*p - 2)
Find w such that -4/11*w**2 - 10/11*w + 2/11*w**3 + 12/11 = 0.
-2, 1, 3
Suppose 4*x + 0*x = 8. Let g = -5 + 6. Factor 8*a - 2 - 6*a**2 + 3*a**2 - x*a - g.
-3*(a - 1)**2
Suppose -6 = -3*j - 3*u, -3*u = -u + 6. Factor -10*v**2 - 2*v**3 + j - 5*v + 50*v**5 + 12*v**3 + 5*v**4 - 55*v**5.
-5*(v - 1)**3*(v + 1)**2
Let t be (-30)/12*(-3820)/(-14). Let i = -681 - t. Suppose 2/7*h**2 + i - 10/7*h = 0. Calculate h.
1, 4
Facto