 Factor x(y).
-2*(y - 2)*(y + 2)**3
Let y(x) be the third derivative of -x**8/112 + x**7/35 + 7*x**2 + 10. Factor y(o).
-3*o**4*(o - 2)
Let a = 7291/15 + -486. Let u(t) be the first derivative of -1/5*t**2 - a*t**3 - 1/5*t + 5. What is f in u(f) = 0?
-1
Let q(x) be the third derivative of x**8/728 - 4*x**7/1365 + x**6/780 + 5*x**2. Suppose q(o) = 0. What is o?
0, 1/3, 1
Let x(q) be the first derivative of -2*q**5/5 + 29*q**4/4 - 112*q**3/3 + 49*q**2/2 + 326. Solve x(o) = 0.
0, 1/2, 7
Let t = -2/32689 - -32695/98067. Factor 1/3*n**2 + 0*n - 5/3*n**4 + 0 + n**5 + t*n**3.
n**2*(n - 1)**2*(3*n + 1)/3
Factor 1/6*z**2 + 110/3*z + 6050/3.
(z + 110)**2/6
Determine u so that -9/4 + 21/4*u + 3/4*u**3 - 15/4*u**2 = 0.
1, 3
Let c be ((-50)/30)/((-2)/(-18)). Let f = c - -19. Let a(v) = 7*v**4 - 3*v**2 - 4. Let p(q) = 8*q**4 - 3*q**2 - 5. Let z(l) = f*p(l) - 5*a(l). Factor z(o).
-3*o**2*(o - 1)*(o + 1)
Let i(a) be the second derivative of -a**5/80 + 7*a**4/24 - 29*a**3/24 - 11*a**2/2 - 3*a + 188. Let i(b) = 0. Calculate b.
-1, 4, 11
Let q(z) = 10*z**3 + 135*z**2 + 1083*z. Let v(i) = 7*i**3 + 91*i**2 + 722*i. Let g(o) = 5*q(o) - 7*v(o). Factor g(f).
f*(f + 19)**2
Let c(r) be the first derivative of -1/7*r**4 + 16/7*r - 6 - 16/21*r**3 + 2/7*r**2. Let c(o) = 0. What is o?
-4, -1, 1
Let k(r) be the first derivative of 4*r**5/25 - r**4 - 22. Factor k(o).
4*o**3*(o - 5)/5
Find b such that 0 + 20*b**4 - 4*b**2 + 0*b + 94/7*b**3 + 18/7*b**5 = 0.
-7, -1, 0, 2/9
Let g be 2 + -9 - -4 - -2. Let j = g - -5. Determine l, given that -10 - 1770*l**3 - 918*l**j + 1280*l**5 - 880*l**2 - 310*l**3 + 39*l - 362*l**4 - 194*l = 0.
-1/4, 2
Let g(l) be the first derivative of -2/21*l**2 + 0*l + 12 + 2/63*l**3. Factor g(t).
2*t*(t - 2)/21
Find a, given that 3/11*a**5 - 16/11*a**4 + 0 - 12/11*a**3 + 0*a**2 + 0*a = 0.
-2/3, 0, 6
Let y be 4 + (-48)/28*(-18)/27. Let 12/7 - 15/7*z**3 + 9/7*z**2 + y*z = 0. What is z?
-1, -2/5, 2
Let c = -349 - -17451/50. Let y(s) be the third derivative of 2*s**2 + 1/200*s**6 + 0*s + 1/40*s**4 + 0 + c*s**5 + 0*s**3. Determine g, given that y(g) = 0.
-1, 0
Suppose 3*c = 12, -43*c + 45*c = 2*h + 8. Suppose -1/3*i**2 + h - 1/3*i**3 + 0*i = 0. What is i?
-1, 0
Determine b so that -9/8*b - 3/2 + 3/8*b**2 = 0.
-1, 4
Suppose -12 = -4*x + d, -4*x + 10*d - 6*d = 0. Determine q, given that 73/3*q**3 - 64/3 + 176/3*q - 172/3*q**2 - 14/3*q**x + 1/3*q**5 = 0.
1, 4
Let v(j) = -j**2 + j - 1. Let w(t) = 3*t**2 - 3*t + 8. Let n(g) = -5*v(g) - w(g). Let x(b) = -b**2 + b + 1. Let r(i) = 2*n(i) + 6*x(i). Let r(k) = 0. What is k?
0, 1
Suppose -4*v = 2*w - 20, -4*v - 2*w + 32 = 3*w. Let j(l) be the first derivative of 7 - 16/3*l**2 - 4/9*l**v - 64/3*l. Solve j(f) = 0 for f.
-4
Factor -5*s**2 - 16*s - 14*s - 5448*s**3 + 5453*s**3.
5*s*(s - 3)*(s + 2)
Determine l, given that 800/9 + 2792/9*l - 28/9*l**2 = 0.
-2/7, 100
Let h(u) = 8*u**3 + 30*u**2 + 56*u + 36. Let a(d) = -26*d**3 - 91*d**2 - 168*d - 110. Let v(k) = -2*a(k) - 7*h(k). Factor v(w).
-4*(w + 1)*(w + 2)*(w + 4)
Let p(h) = -h**3 - 16*h**2 - 8*h + 4. Let s be p(-16). Let z be -2 - (s/(-18) + 4). Factor -5/3*d + 2/3 - 1/3*d**3 + z*d**2.
-(d - 2)*(d - 1)**2/3
Let l be 2/16 + (-3379)/(-872). Let d(t) be the third derivative of 1/210*t**7 - 1/48*t**5 + 0 + 1/24*t**3 + 0*t - 1/32*t**l + 1/160*t**6 - 5*t**2. Factor d(n).
(n - 1)*(n + 1)**2*(4*n - 1)/4
Let h(o) = -7*o**3 + 23*o**2 - 13*o - 45. Let r(u) = u**3 + u**2 - u. Let a(f) = h(f) + 2*r(f). Suppose a(c) = 0. Calculate c.
-1, 3
Let v(t) be the first derivative of 2*t**3/27 + t**2/9 - 129. Factor v(n).
2*n*(n + 1)/9
Solve -180*j**2 - 2*j**4 + 9*j**3 - 3*j**4 + 2*j + 52*j**3 + 168*j + 9*j**3 - 55 = 0 for j.
1, 11
Let y(m) = m**2 + 6*m + 4. Let h be y(-6). Suppose -c + h - 2 = 0. Let 16*r - 24*r**c - 57*r**2 - 4 - 2*r + 22*r = 0. What is r?
2/9
Factor 3/2*p**4 - 3*p**2 + 0*p**3 + 3/2 + 0*p.
3*(p - 1)**2*(p + 1)**2/2
Let i(k) be the third derivative of k**8/1008 - 11*k**7/1008 + k**6/24 + 2*k**5/5 - 26*k**2. Let m(t) be the third derivative of i(t). Factor m(r).
5*(r - 2)*(4*r - 3)
Let c(h) be the first derivative of 3*h**5/5 - 13*h**4/4 - 11*h**3/3 + 5*h**2/2 - 26. Find v, given that c(v) = 0.
-1, 0, 1/3, 5
Let g(h) be the second derivative of -h**7/56 - h**6/2 - 291*h**5/80 + 29*h**4/8 + 65*h**3/2 - 75*h**2 - 869*h. Let g(c) = 0. What is c?
-10, -2, 1
Let j(x) be the third derivative of -1/280*x**6 + 0 + 0*x - 10*x**2 + 1/14*x**3 - 3/56*x**4 + 3/140*x**5. Suppose j(n) = 0. Calculate n.
1
Let b(l) be the first derivative of -15 + 0*l**3 + 2/5*l**5 + 0*l**2 - 1/2*l**4 + 0*l. Determine q, given that b(q) = 0.
0, 1
Suppose -145/6*r**2 + 222*r + 2/3*r**3 - 54 = 0. Calculate r.
1/4, 18
Factor -24 - 17*n - 10 + 3*n**2 - 2*n**2 - 18*n - 2*n**2.
-(n + 1)*(n + 34)
Let r(y) be the second derivative of 3*y**5/20 - y**4 - 19*y**3/2 - 21*y**2 - 2*y + 59. Factor r(b).
3*(b - 7)*(b + 1)*(b + 2)
Let o be 2 + 36*(-1 - (-550)/582). Let p = o - -180/679. Factor -p*f**3 - 2/7*f**4 + 2/7*f**2 + 2/7*f + 0.
-2*f*(f - 1)*(f + 1)**2/7
Let a(g) be the third derivative of 1/8*g**4 + 0*g + 24*g**2 + 1/20*g**5 + 0 - 3*g**3. Suppose a(c) = 0. What is c?
-3, 2
Let w be ((-10)/22 + 24/88)/(-1). Find b, given that w*b**2 + 2/11*b**3 + 6/11 - 10/11*b = 0.
-3, 1
Factor -74/3*g**3 + 431*g**2 + 1444/3 + 1/3*g**4 + 2812/3*g.
(g - 38)**2*(g + 1)**2/3
Suppose -2*v + 3*y = 48, -3*v + 0*y = 3*y + 57. Let d be (1/v*4)/(6/(-9)). Factor 0 + d*b**3 + 2/7*b + 4/7*b**2.
2*b*(b + 1)**2/7
Let f be ((-9)/(-4))/(1/8). Let y be (12/f)/(-3 - (-16)/3). Solve 0*g + 0*g**3 - 4/7*g**2 + 2/7 + y*g**4 = 0 for g.
-1, 1
Factor 0*d + 0 + 1/4*d**5 - 2*d**3 + 1/2*d**4 + 0*d**2.
d**3*(d - 2)*(d + 4)/4
Let r(t) be the second derivative of -1/32*t**5 + 13/96*t**4 + 0 + 0*t**2 - 1/240*t**6 - 7/48*t**3 - 11*t. Find b such that r(b) = 0.
-7, 0, 1
Let j(v) be the second derivative of v**7/21 - 2*v**6/15 - v**5/5 + 2*v**4/3 + v**3/3 - 2*v**2 - 47*v. Suppose j(t) = 0. What is t?
-1, 1, 2
Let y(v) be the second derivative of -289*v**5/80 + 119*v**4/12 + 65*v**3/8 + 9*v**2/4 + 196*v. Factor y(i).
-(i - 2)*(17*i + 3)**2/4
Let w = 91 + -89. Suppose 11*l**w + 5*l + 24 + 4*l**3 - 8*l**2 - 25*l - 11*l**2 = 0. What is l?
-2, 1, 3
Let l(w) be the second derivative of 0 - 2/3*w**3 - 1/6*w**4 + 0*w**2 + 3*w. Find x such that l(x) = 0.
-2, 0
Let p(i) be the second derivative of -i**6/300 - i**5/100 + i**4/10 + 4*i**3/3 - 40*i. Let j(x) be the second derivative of p(x). Find f, given that j(f) = 0.
-2, 1
Suppose 0 = -18*n - 5690 + 5798. Suppose 6*j**3 + 9/2*j**2 - 6*j + 3/2*j**4 - n = 0. Calculate j.
-2, -1, 1
Let h(q) = -q**3 - 5*q**2 + 51*q + 30. Let x be h(-10). Suppose -2*d = -y + 7, -3*d - 18 = -2*y - 2*y. Factor -y*n - 8 + 8*n**2 + 11*n + x*n**3 - 28*n.
4*(n - 1)*(n + 1)*(5*n + 2)
Let f = -71 + 74. Suppose 0 = -4*u + 3 + 13. Factor 4*p**f - 51 - u*p + 4*p**2 + 102 - 55.
4*(p - 1)*(p + 1)**2
Let j(o) be the first derivative of 0*o**4 + 0*o - 1/180*o**5 - 7/2*o**2 + 8 + 1/18*o**3. Let u(c) be the second derivative of j(c). Factor u(b).
-(b - 1)*(b + 1)/3
Let n(g) be the second derivative of -5*g**6/24 + 11*g**5/8 - 35*g**4/12 + 5*g**3/3 + 145*g. What is t in n(t) = 0?
0, 2/5, 2
Let k be (-2404)/6240 + (-6)/(-16). Let w = k - -44/65. Factor 7/3*g + 5/3*g**3 - 1/3*g**4 - w - 3*g**2.
-(g - 2)*(g - 1)**3/3
Let b(l) be the first derivative of 0*l + 1/5*l**5 + 0*l**3 + 11 - 1/4*l**4 + 0*l**2. Factor b(d).
d**3*(d - 1)
Find b, given that 96 + 26/3*b**2 - 1/3*b**3 - 64*b = 0.
2, 12
Suppose 5*x = 3*x, 2*x = -p. Let m(a) be the second derivative of 0*a**5 + 1/4*a**4 + 0*a**2 + 5*a + p - 1/10*a**6 + 0*a**3. Factor m(w).
-3*w**2*(w - 1)*(w + 1)
Let t = -4989 + 24947/5. Factor 0 - t*y**2 - 4/5*y.
-2*y*(y + 2)/5
Let p be (-21)/14 - 1/(-2). Let f be ((4 + -3)*-1)/(1*p). Solve 21/4*l**4 + 4*l - 17/4*l**2 - 7/4*l**3 - f - 9/4*l**5 = 0.
-1, 2/3, 1
Let r = 1138 - 7934/7. Factor -48/7*s**2 - 2/7*s**4 + 18/7*s**3 + 0 + r*s.
-2*s*(s - 4)**2*(s - 1)/7
Let s be 12/5 + 1 + 14/(-10). Suppose -s*y = 4*g - y - 8, 2*g + 2*y = 4. Suppose -2/5*j**g + 2/5*j + 4/5 = 0. Calculate j.
-1, 2
Solve 1920/17*z**3 + 0*z + 126/17*z**4 - 2048/17*z**2 + 2/17*z**5 + 0 = 0 for z.
-32, 0, 1
Let m(b) = b**5 - b**4 - b**2 + b - 1. Let y(p) = -23*p**5 + 112*p**4 - 187*p**3 + 96*p**2 + 26*p - 22. Let j(