0 - 4*p**3/5 + 69. Factor o(r).
2*r**2*(r + 6)*(4*r - 1)/5
Let g = -23675/9 - -2631. Let -g - 2/9*x**3 + 10/9*x - 2/3*x**2 + 2/9*x**4 = 0. Calculate x.
-2, 1
Let d(h) be the third derivative of h**5/270 + h**4/9 + 20*h**3/27 - 155*h**2. Factor d(a).
2*(a + 2)*(a + 10)/9
Let x(g) be the first derivative of g**4/14 + 4*g**3/21 - 15*g**2/7 - 72*g/7 + 36. Factor x(m).
2*(m - 4)*(m + 3)**2/7
Solve -1/6*j**3 - 11/6*j**2 - 5/3*j + 0 = 0.
-10, -1, 0
Suppose -u + 4*u = 36. Let v be 1 - 4/(u/(-9)). Factor -18 + 52 + v*q**2 - 12*q - 26.
4*(q - 2)*(q - 1)
Suppose -b = 2*p - 15, 6*p - 8*p + 10 = 0. Let q(r) be the third derivative of 1/360*r**5 + 1/36*r**3 + 0 + 1/72*r**4 - b*r**2 + 0*r. Factor q(l).
(l + 1)**2/6
Let g = -14049 - -14051. Let 8/5 - 2/5*z**4 + 2/5*z**g + 2/5*z**5 + 16/5*z - 2*z**3 = 0. What is z?
-1, 2
Let d = 237 - 237. Let v(b) be the third derivative of 0 - 3*b**2 + d*b + 1/240*b**6 + 1/96*b**4 + 1/12*b**3 - 1/48*b**5. Factor v(n).
(n - 2)*(n - 1)*(2*n + 1)/4
Find d, given that -36/5*d + 2*d**2 + 6/5*d**4 + 8*d**3 - 16/5 - 4/5*d**5 = 0.
-2, -1, -1/2, 1, 4
Let o = -8609 + 198043/23. Let q = o - 3/46. What is n in q - 3/4*n**2 + 3/4*n = 0?
-1, 2
Let l(z) be the third derivative of z**7/3780 + z**6/1080 + z**4/4 - 6*z**2. Let g(f) be the second derivative of l(f). Factor g(c).
2*c*(c + 1)/3
Suppose 5*h + 6*h - 187 = 0. Factor 8 + t**2 + 10 + 2*t - h.
(t + 1)**2
Let s(v) be the first derivative of -2*v**5/225 + 31*v**4/180 + 8*v**3/45 - 39*v**2/2 - 38. Let q(f) be the second derivative of s(f). Factor q(g).
-2*(g - 8)*(4*g + 1)/15
Let l(j) be the first derivative of -2*j**2 - 8/3*j**3 + 4*j - 2/3*j**6 + 2*j**4 + 1 + 4/5*j**5. Factor l(g).
-4*(g - 1)**3*(g + 1)**2
Let d = 635 + -629. Let i(g) be the third derivative of 1/480*g**d + 0 + 0*g**3 - 7*g**2 + 1/48*g**4 + 0*g - 1/80*g**5. Factor i(h).
h*(h - 2)*(h - 1)/4
Let l(x) be the third derivative of 0 - 2/3*x**4 - 1/60*x**6 + 0*x + 1/6*x**5 + 17*x**2 + 4/3*x**3. Solve l(c) = 0.
1, 2
Let d = 531728/13 + -41099. Let n = 197 + d. Factor -6/13*w + 0*w**2 + n*w**3 - 4/13.
2*(w - 2)*(w + 1)**2/13
Let a(d) be the first derivative of 1/2*d**4 - 1/6*d**3 + 55 + 1/4*d - 1/4*d**2 + 1/12*d**6 - 7/20*d**5. Factor a(r).
(r - 1)**4*(2*r + 1)/4
Factor -15/8*o + 3/2 - 27/8*o**2.
-3*(o + 1)*(9*o - 4)/8
Let x be 2/3 - 8/(-6). Suppose -5*c + 3*o = -20, 4*o = 5*c - c - 16. Factor -4*r**2 - 4*r**3 + 2*r**c + 9*r**3 + 2*r - 9*r**3 + 2*r**5 + x.
2*(r - 1)**2*(r + 1)**3
Let f = -50893 + 152683/3. Factor 2/9*p**2 - 2/9*p - f.
2*(p - 3)*(p + 2)/9
Let b be 0 + (0 - 2/(-16)). Suppose -4*t - 36 = 0, -2*k + 13 = -330*t + 329*t. Factor 3/8*y + 3/8*y**k + b + 1/8*y**3.
(y + 1)**3/8
Let q(l) be the first derivative of l**6/6 - 3*l**4/4 - 2*l**3/3 - 337. Suppose q(v) = 0. Calculate v.
-1, 0, 2
Solve 452/7*t**3 + 110/7*t**4 - 128/7 + 8/7*t**5 + 712/7*t**2 + 304/7*t = 0.
-8, -2, 1/4
Suppose 0 = -3*i + 4*i - 2*j - 8, 4*i - 8 = -4*j. Factor 4*p + 46*p**2 - 47*p**2 + 3*p**4 - 2*p + i*p**3 - 4*p.
p*(p + 1)**2*(3*p - 2)
Let w = 22/21 + 145/42. Let y = 4/71 + 489/142. Factor y*v + w*v**2 - 1.
(v + 1)*(9*v - 2)/2
Let y(n) be the first derivative of n**3/3 - 22*n**2 - 559. Solve y(z) = 0.
0, 44
Let x(v) be the second derivative of 0 - 1/70*v**5 - 5/42*v**4 - 2/7*v**3 + 14*v + 0*v**2. Factor x(m).
-2*m*(m + 2)*(m + 3)/7
Suppose 2*t = -0*t. Suppose 3*v + 4*j = -3 + 16, t = -3*j + 3. Factor 6*g + 5 - 12*g**2 + 1 + 10*g**v - 3*g**4 - 1 - 6.
-(g - 1)**3*(3*g - 1)
Factor 7*t - 18 + 18 + 9*t**3 + 11*t - 27*t**2 - 3*t + 3*t**4.
3*t*(t - 1)**2*(t + 5)
Let t(i) be the third derivative of i**6/1800 + i**5/200 + i**4/60 - 2*i**3 - 15*i**2. Let u(p) be the first derivative of t(p). Suppose u(n) = 0. Calculate n.
-2, -1
Suppose -9 = -v - 11. Let h(w) = -w**3 - 2*w**2 - 2*w. Let n be h(v). Factor 0*y**4 + 5*y**5 + 2*y**n - 2*y**5 - 4*y**5 - y**3.
-y**3*(y - 1)**2
Suppose -2*w + 8 = 2*d, -6 = d - 3*w - 2. Find t such that -1 + d - 6*t**2 + 4*t**2 + t**2 = 0.
-1, 1
Let j be -40*(-2)/12*6/(-2). Let w be ((-420)/(-104) - 4)*j/(-1). Factor 0 - 14/13*u**2 + w*u**3 + 4/13*u.
2*u*(u - 1)*(5*u - 2)/13
Suppose 313*g - 323*g = -60. Let a(n) be the third derivative of 3*n**2 + 1/10*n**4 - 1/350*n**7 + 1/40*n**g - 2/25*n**5 + 0*n + 0*n**3 + 0. Solve a(l) = 0.
0, 1, 2
Let q(h) be the third derivative of h**7/1155 + h**6/330 - 67*h**2. Find n such that q(n) = 0.
-2, 0
Let n = 171 - 118. Let d = n + -53. Factor 0 + 0*x**2 + 0*x**3 + 1/5*x**4 - 1/5*x**5 + d*x.
-x**4*(x - 1)/5
Let q(d) = -d**3 - 12*d**2 + 29*d + 16. Let y be q(-14). Let f = -10/7 + 47/28. Find w such that -1/4 - 1/2*w - f*w**y = 0.
-1
Suppose -h + 20 = 5*o, -3 + 0 = 4*o - 3*h. Factor -1 + 3 - o - 2*r - r**2.
-(r + 1)**2
Let x(n) be the third derivative of -n**6/660 + 2*n**5/165 + 5*n**4/132 - 5*n**2 - 4*n. Solve x(i) = 0 for i.
-1, 0, 5
Determine s, given that -8*s**3 + 9*s**4 - s**4 - 6*s**4 = 0.
0, 4
Let f = -11765 - -11770. Factor 24/7*g**4 + 0*g + 0 + 80/7*g**3 + 32/7*g**2 - 36/7*g**f.
-4*g**2*(g - 2)*(3*g + 2)**2/7
Let x(j) be the second derivative of j**7/14 - 29*j**6/10 + 81*j**5/2 - 175*j**4 - 500*j**3 - 32*j - 1. Let x(v) = 0. Calculate v.
-1, 0, 10
Suppose 200*b + 2045 + 1630 + 48*b + 4*b**2 + 169 = 0. Calculate b.
-31
Let a(s) be the second derivative of 0*s**4 + 11*s + 1/70*s**5 + 0 + 0*s**3 - 1/147*s**7 + 0*s**6 + 0*s**2. Factor a(y).
-2*y**3*(y - 1)*(y + 1)/7
Suppose 23 - 18 = -a, -a + 7 = 2*s. Suppose 0*h**2 + 0*h**4 + 15/2*h**3 + 0 - s*h - 3/2*h**5 = 0. Calculate h.
-2, -1, 0, 1, 2
Let j(x) be the first derivative of -8*x**5/5 - 7*x**4 + 16*x**3/3 - 279. Let j(r) = 0. What is r?
-4, 0, 1/2
Let d(n) be the second derivative of n**6/30 + 2*n**5/5 - 5*n**4/2 + 16*n**3/3 - 11*n**2/2 + 4*n + 67. Find t such that d(t) = 0.
-11, 1
Let h(a) = -a**4 + a**3 + a**2 + 2*a + 2. Let n(g) = -6*g**4 - 694*g**3 + 2116*g**2 - 2123*g + 712. Let u(m) = -h(m) + n(m). Suppose u(c) = 0. Calculate c.
-142, 1
Let f(w) be the third derivative of 2*w**2 - 1/60*w**4 + 0 + 0*w - 4/3*w**3 - 1/150*w**5 - 1/900*w**6. Let l(p) be the first derivative of f(p). Factor l(r).
-2*(r + 1)**2/5
Solve 45/4*p**3 + 39/4*p**2 + 3*p + 0 + 3/4*p**5 + 21/4*p**4 = 0 for p.
-4, -1, 0
Let s(a) be the third derivative of -a**6/60 - a**5/10 + a**4/3 - 3*a**2. Factor s(g).
-2*g*(g - 1)*(g + 4)
Let l = -10 + 13. Suppose 0 = 5*b + 10, -y - l*b = -0*b. Factor 6*t + 3*t**2 + 6*t**2 - y*t**2.
3*t*(t + 2)
Suppose -6/17*h**3 - 26/17*h + 26/17*h**2 + 6/17 = 0. Calculate h.
1/3, 1, 3
Let b(n) = n**2 - 71*n - 462. Let k be b(-6). Factor k*t**3 - 2/3*t**2 + 0 + 2/9*t**4 + 4/9*t.
2*t*(t - 1)**2*(t + 2)/9
Factor -1/8*c + 1/8*c**2 + 0.
c*(c - 1)/8
Let b(g) = -52*g - 32*g - 80*g**2 - 31*g + 8 + 43*g. Let z(r) = -16*r - 30*r**2 - 13*r - 2*r**2 + 3. Let x(j) = 5*b(j) - 12*z(j). Factor x(u).
-4*(u + 1)*(4*u - 1)
Suppose -4*n = -5*x - 40, -2*x - 5 - 8 = -n. Suppose -l = -n*l + 12. Find t, given that -l - 5*t**2 + 7*t + t**3 + 0*t**2 + 0*t**2 = 0.
1, 3
Suppose -g = h - 3, 4*h - 10 + 33 = 3*g. Suppose -2*c + 16 = -g*s + 9*s, -3*c + 3*s - 3 = 0. Let 2/7 - 4/7*n + 2/7*n**c = 0. Calculate n.
1
Let x(i) be the second derivative of i**6/135 - i**5/30 - 10*i**4/27 + 16*i**3/9 + 64*i**2/9 - 411*i. Solve x(o) = 0 for o.
-4, -1, 4
Let x(n) = -n**2 - 9*n + 3. Let c be x(-5). Let p = 280 + -278. Factor -y**4 - 20*y**3 - 10*y + c*y**p + 6*y**4 + 2*y**2.
5*y*(y - 2)*(y - 1)**2
Let i be ((2/3)/(-1))/(6/(-45)). Factor -2*g**5 + 5*g**4 - 4*g**3 + g**2 - i + 5.
-g**2*(g - 1)**2*(2*g - 1)
Suppose 0 = -4307*y + 4299*y + 16. Factor 1 - 1/5*d**y - 4/5*d.
-(d - 1)*(d + 5)/5
Let f(q) = q**3 + 19*q**2 - 13*q + 25. Let g be f(-20). Let t = g + 461/4. Factor 1/2*x + 0 - 3/4*x**2 + t*x**3.
x*(x - 2)*(x - 1)/4
Let p(j) = -104*j**3 + 76*j**2 + 8*j + 20. Let s = -30 + 33. Let n(u) = 15*u**3 - 11*u**2 - u - 3. Let w(v) = s*p(v) + 20*n(v). Find l such that w(l) = 0.
-1/3, 0, 1
Let t(a) be the second derivative of a**4/3 - 14*a**3/3 - 36*a**2 + 55*a. Let t(x) = 0. What is x?
-2, 9
Let t(o) = 4*o - 18. Let h be t(5). Let f(p) be the first derivative of -6/7*p + 2/7*p**3 - 3/28*p**4 + 6 + 3/14*p**h. Let f(y) = 0. Calculate y.
-1, 1, 2
Suppose 54*r + 147 = 471. Let z(s) be the second derivative of 1/66*s**4 + 1/33*s**3 + 0*s**2 + 3*s - 1/165*s**r + 0 - 1/110*s**5. Factor z(f).
-2*f*(f - 1)*