/7 + 6/7*u**4.
-2*(u - 1)**4*(u + 1)/7
Let x(w) be the third derivative of -16/27*w**3 + 7*w**2 + 0 + 2/27*w**4 - 1/270*w**5 + 0*w. Solve x(c) = 0.
4
Let t(m) = -4*m**4 + 262*m**3 - 374*m**2 - 12*m + 118. Let h(l) = l**2 - l - 1. Let n(p) = 20*h(p) - 2*t(p). Let n(q) = 0. Calculate q.
-1/2, 1, 64
Let d = 232 - 231. Let m be d/2 + (-13)/(-130). Factor 0*q**3 + 1/5*q**4 - 6/5*q**2 - m + 8/5*q.
(q - 1)**3*(q + 3)/5
Let g(y) be the third derivative of y**6/540 + y**5/30 + 2*y**4/9 + 29*y**3/6 - 5*y**2. Let f(n) be the first derivative of g(n). Factor f(b).
2*(b + 2)*(b + 4)/3
Factor 81*l**2 + 4*l**4 - 4 - 8 - 24*l + 7*l**3 + 8*l**4 - 64*l**3.
3*(l - 2)**2*(l - 1)*(4*l + 1)
Let x(j) be the third derivative of -2*j**3 - 7*j**2 + 1/20*j**5 + 1/40*j**6 + 0 + 0*j - 1/2*j**4. Factor x(n).
3*(n - 2)*(n + 1)*(n + 2)
Suppose -y - y + 35 = 3*u, 5*y - u - 113 = 0. Let b = y - 13. Factor b*x**2 - 17*x - 12 + 10*x - 5*x.
3*(x - 2)*(3*x + 2)
Factor -39*q**3 + 10*q**4 - 84*q - 16*q**4 - 32*q**2 - 24 - 58*q**2.
-3*(q + 2)**3*(2*q + 1)
Let w be 912/(-232) + 6/(-87) + 2*2. Factor -3*h**4 + 5/4*h**5 + w + 9/4*h**3 + 0*h - 1/2*h**2.
h**2*(h - 1)**2*(5*h - 2)/4
Suppose -h - 4*p - 1 = -2*h, -4*p + 5 = 5*h. Let q(c) = 6*c**2 - 1. Let t be q(h). Factor 0*w - 4*w - 4 + t*w**2 - 5*w**2 - w**2.
-(w + 2)**2
Let k(g) = 13*g**2 + 24*g + 93. Let m(b) = -2*b**2 - b - 2. Let l(v) = k(v) + 6*m(v). Factor l(d).
(d + 9)**2
Factor 1/5*p**2 - 14/5*p + 24/5.
(p - 12)*(p - 2)/5
Let a be (-6)/4*32/(-24). Find m such that 0*m + 2*m**3 - 7*m**a + 11*m**2 + 2*m = 0.
-1, 0
Suppose 4*q + 13 = 3*a, 5*a - 4*q = -0 + 19. Let r(x) be the first derivative of -3/8*x**2 + 0*x + a - 1/4*x**3. Factor r(f).
-3*f*(f + 1)/4
Suppose -3*u + 5*t = -35, -2*u + 5*u - 19 = t. Let q**4 - 13*q**4 - 3*q**u + 7*q + 12*q**2 + 5*q - 9*q**3 = 0. What is q?
-2, -1, 0, 1
Let q = 230 + -5519/24. Let p(l) be the second derivative of -1/120*l**5 + 3*l + 1/36*l**3 - q*l**4 + 1/90*l**6 + 0 + 1/12*l**2. Factor p(b).
(b - 1)**2*(b + 1)*(2*b + 1)/6
Let q(s) be the second derivative of -s**6/10 - 51*s**5/20 - 11*s**4/4 + 77*s**3/2 - 72*s**2 - 638*s. Determine o so that q(o) = 0.
-16, -3, 1
Let o(x) be the first derivative of -8*x**2 - 11 - 2/3*x**6 + 24/5*x**5 + 16*x**3 - 13*x**4 + 0*x. Factor o(u).
-4*u*(u - 2)**2*(u - 1)**2
Let h = -100 + 103. Suppose -h*r + 3*c + 6 = c, r = -c + 2. Let 7/2*i**r - 15/2*i - 1/2*i**3 + 9/2 = 0. Calculate i.
1, 3
Let u(j) be the third derivative of 1/6*j**4 + 0 - 31/120*j**6 - 1/14*j**7 + j**2 + 0*j + 0*j**5 + 0*j**3. Factor u(x).
-x*(x + 2)*(3*x - 1)*(5*x + 2)
Find u such that -204 - 66*u**3 + 204 - 28*u + 74*u**2 + 22*u**4 - 2*u**5 = 0.
0, 1, 2, 7
Let y be 7 - (133/35 + 3). Let d(w) be the third derivative of 0*w - 1/8*w**4 + 2/35*w**7 - 1/112*w**8 + 0*w**3 + 0 + w**2 - 3/20*w**6 + y*w**5. Factor d(z).
-3*z*(z - 1)**4
Let p = 13 + -11. Let g be ((-2)/(-4))/(p/8). Factor -2*q**g + 6*q**3 - 8*q**3 + 0*q**3.
-2*q**2*(q + 1)
Suppose 4*j + 8 = -640*o + 636*o, j - 4*o - 8 = 0. Factor -4/3*n - 8/3*n**2 + 2/3*n**4 + 1/3*n**5 + j - n**3.
n*(n - 2)*(n + 1)**2*(n + 2)/3
Let y = 55 + -49. Let n(c) = c**5 - c**2 - c. Let g(h) = -14*h**5 - 25*h**4 - 5*h**3 - 6*h**2 - 6*h. Let o(q) = y*n(q) - g(q). Factor o(p).
5*p**3*(p + 1)*(4*p + 1)
Let g(y) be the third derivative of y**8/560 - y**7/140 + y**6/120 - y**3/6 - 9*y**2. Let w(o) be the first derivative of g(o). Factor w(j).
3*j**2*(j - 1)**2
Let k be (-1890)/405*3/(-7). Solve 4/7*x - 6/7 + 2/7*x**k = 0.
-3, 1
Suppose 224 = -314*i + 852. Factor -2/3*t**i - 8/3 - 8/3*t.
-2*(t + 2)**2/3
Let s(d) be the first derivative of -1/33*d**4 + 4 + 1/33*d**3 + 0*d**2 - 4*d + 1/110*d**5. Let h(m) be the first derivative of s(m). Find l such that h(l) = 0.
0, 1
Factor -12*p + 8 + 6 + 35*p**3 - 2 - 2*p**2 - p**2 - 32*p**3.
3*(p - 2)*(p - 1)*(p + 2)
Suppose -5*d + 3*d = -8. Find o, given that d*o**5 - 4*o**3 - 5 + 0 + 5 = 0.
-1, 0, 1
Let a(r) = -3*r**3 + 14*r**2 - r. Let c(h) = 28*h**2 - 5*h**3 - 13*h**2 + 2*h**3. Let y(d) = 6*a(d) - 5*c(d). Factor y(t).
-3*t*(t - 2)*(t - 1)
Let p(n) be the second derivative of -3/35*n**5 - 1/70*n**6 - 5/28*n**4 - 1/7*n**3 - 32*n + 0 + 0*n**2. Factor p(h).
-3*h*(h + 1)**2*(h + 2)/7
Let d(l) be the second derivative of l**6/120 - l**5/40 + l**4/48 + 2*l - 81. Factor d(y).
y**2*(y - 1)**2/4
Factor 9*m**3 + 10*m**2 - 3*m**4 + 17*m + 7*m - 24*m + 2*m**2.
-3*m**2*(m - 4)*(m + 1)
Factor -4/3 - 10609/3*l**2 + 412/3*l.
-(103*l - 2)**2/3
Let o(z) be the second derivative of 2/5*z**6 + 2/21*z**7 + 0 - z - 2/3*z**4 - 2*z**2 + 2/5*z**5 - 2*z**3. Let o(n) = 0. What is n?
-1, 1
Let f(m) be the first derivative of m**6/720 - m**5/90 + m**4/48 - 27*m**2/2 - 11. Let h(r) be the second derivative of f(r). Factor h(i).
i*(i - 3)*(i - 1)/6
Let v(c) be the second derivative of c**4/16 + 7*c**3/2 + 39*c**2/2 + 565*c. Factor v(r).
3*(r + 2)*(r + 26)/4
Let c = -14903 - -14905. Factor -10/9*h - 4/3 - 2/9*h**c.
-2*(h + 2)*(h + 3)/9
Suppose 0*l - 20 = -4*l. Suppose 40 = l*k - 0. Factor 2*o**4 + k*o + 0*o**3 - 2 - 4*o - 4*o**3.
2*(o - 1)**3*(o + 1)
Factor -197*y**2 + 14*y**2 - 768*y + 421428*y**3 - 421425*y**3 - 780.
3*(y - 65)*(y + 2)**2
Let w = -21 + 35. Let s be (-10)/(-70) - (-26)/w. Factor 15*j**3 - 3*j**3 - 4*j**4 + 8 - 3*j**2 - 12*j + 0*j**s - j**2.
-4*(j - 2)*(j - 1)**2*(j + 1)
Let z be 2*70/((-5)/(-1)). Solve -2 + 39*n**2 - 6 - 12*n**3 - 47*n**2 + z*n = 0 for n.
-2, 1/3, 1
Factor 0*m**2 - 6/5*m**4 - 4/3*m**3 + 0*m + 2/15*m**5 + 0.
2*m**3*(m - 10)*(m + 1)/15
Let b = -1603/48 + 97/16. Let j = b + 28. Factor k**2 - j*k - 1/3.
(k - 1)*(3*k + 1)/3
Let l(k) = 4*k**3 + 2*k**2 - 2*k + 1. Let h be ((-2)/3)/((-14)/21). Let y be l(h). Factor 0*a**4 + 0 + 2/3*a**2 + 2*a**3 + 0*a - 8/3*a**y.
-2*a**2*(a - 1)*(2*a + 1)**2/3
Let w = 67 - 64. Let r be w/(-1) + 3*(5 + -4). What is b in r - 2/19*b**2 - 4/19*b = 0?
-2, 0
Suppose 0 = -p + 7 - 2. Suppose 36 = p*u + 26. Suppose 18*x**u + 3 - 27/2*x - 15/2*x**3 = 0. What is x?
2/5, 1
Let y be 188/(-880) + (-44)/(-121). Let h(v) be the third derivative of -1/36*v**4 + 0 - y*v**6 - 7*v**2 + 0*v**3 + 1/10*v**5 + 0*v + 3/35*v**7. Factor h(r).
2*r*(3*r - 1)**3/3
Let o(t) be the first derivative of 5*t**6/6 - 7*t**5 + 25*t**4/4 + 35*t**3/3 - 15*t**2 + 330. Factor o(k).
5*k*(k - 6)*(k - 1)**2*(k + 1)
Let i(m) be the first derivative of -2*m - 2/27*m**3 - 1/54*m**4 + 0*m**2 - 3. Let r(v) be the first derivative of i(v). Find o such that r(o) = 0.
-2, 0
Suppose 0*p + 48 + 14 = 31*p. Find g, given that 1/4*g**p - 1/8*g**3 + 0 - 1/8*g = 0.
0, 1
Let 0*h + 0 - 9*h**4 + 9*h**2 - 1/3*h**3 + 1/3*h**5 = 0. What is h?
-1, 0, 1, 27
Let i(j) be the third derivative of 3*j**8/1120 + j**7/42 - 23*j**6/360 + j**5/15 + 5*j**4/24 + 6*j**2. Let g(k) be the second derivative of i(k). Factor g(p).
2*(p + 4)*(3*p - 1)**2
Factor 864 + 60*i**2 + i - 433*i - 16*i**3 + 12*i**2 + 12*i**3.
-4*(i - 6)**3
Let h(f) be the third derivative of f**5/30 - 25*f**4/12 + 8*f**3 + 27*f**2. Factor h(g).
2*(g - 24)*(g - 1)
Suppose -5*m - 12 = -b, 4*b - 2*m + 2 = -7*m. Let h(x) = -x**2 + 4. Let f be h(b). Determine d so that f + 0*d**2 - 1/2*d - 1/2*d**5 + d**3 + 0*d**4 = 0.
-1, 0, 1
Let b(d) be the third derivative of -2/9*d**4 - 1/45*d**6 + 13/135*d**5 + 8/27*d**3 + 0 - 47*d**2 + 2/945*d**7 + 0*d. Factor b(a).
4*(a - 2)**2*(a - 1)**2/9
Let g(j) be the third derivative of -2*j**2 + 3/5*j**5 + 0 + 0*j**3 + 1/3*j**4 + 0*j. Factor g(d).
4*d*(9*d + 2)
Let l(o) be the first derivative of -2 + 0*o + 0*o**3 + 0*o**4 + o**2 - 1/60*o**6 + 1/45*o**5. Let j(k) be the second derivative of l(k). What is n in j(n) = 0?
0, 2/3
Let n be 27 - (3 - (3 + -3)). Let y be 1/((40/n)/((-4)/(-6))). Determine v so that y*v - 1/5 - 1/5*v**2 = 0.
1
Let f(d) = -29*d**2 - 308*d - 306. Let y(h) = -3*h**2. Let j(w) = -2*f(w) + 18*y(w). Factor j(o).
4*(o + 1)*(o + 153)
Let l(n) = 3*n**5 - 6*n**4 - 18*n**3 + 48*n**2 + 42*n - 90. Let w(b) = 3*b**5 - 6*b**4 - 17*b**3 + 48*b**2 + 41*b - 89. Let m(j) = 7*l(j) - 6*w(j). Factor m(s).
3*(s - 2)**3*(s + 2)**2
Let u(c) = -5*c + 140. Let v be u(28). Let r(g) be the second derivative of 6*g + 1/4*g**2 + v - 3/20*g**5 - 1/2*g**3 + 11/24*g**4. What is q in r(q) = 0?
1/3, 1/2, 1
Let j(v) = -v - 4. Let p be j(-7). Suppose -6*w + 4 = -4*w. Let 0 + 0*h - 1/6*h**p + 1/6*h**w =