 6*q**5/25 + 5*q**4/3 - 28*q**3/5 + 9*q**2 - 35*q + 1. Factor j(n).
2*(n - 5)*(n - 3)**2*(n - 1)/5
Let o(f) be the first derivative of -6*f**5/5 - f**4 + 2*f**3/3 - 25. Let o(x) = 0. Calculate x.
-1, 0, 1/3
Let a be ((27/(-6))/1)/((-51)/34). Let y(f) = -6*f**3 - 5*f**2 - 2*f + 2. Let b be y(-3). Factor b - 3*k**3 - 3*k**2 + 18*k**2 + 22*k - 97*k + 2*k**a.
-(k - 5)**3
Suppose -10 - 158 = -114*q + 60. Factor -3/7*p**q + 9/7*p + 0.
-3*p*(p - 3)/7
Suppose 371*h**5 - 336*h + 273*h**2 - 348 - 172*h**5 - 93*h**4 - 196*h**5 + 165*h**3 = 0. Calculate h.
-1, 2, 29
Let l(o) = o - 1. Let u be l(3). Suppose 22 = u*a + 4*v, a + 26 = 3*a + 5*v. Let a*s**4 - 4*s**3 - 4*s**3 - 10*s**2 - 5*s**4 - 4*s = 0. Calculate s.
-2, -1, 0
Let s(x) be the first derivative of x**6/30 - x**5/20 - x**4/12 + x**3/6 + 11*x + 9. Let m(d) be the first derivative of s(d). Factor m(t).
t*(t - 1)**2*(t + 1)
Let y(o) be the second derivative of o**4/30 + 94*o**3/15 + 2209*o**2/5 + 3*o - 11. What is g in y(g) = 0?
-47
Let v = -8419 + 58941/7. Factor -6/7*n + v - 2/7*n**2.
-2*(n - 1)*(n + 4)/7
Let w be 6 + -1 - ((1 - 5) + 1). Solve -12*n**4 - w*n**2 - 20 + 28*n**3 + 20 = 0.
0, 1/3, 2
Factor 4*v**4 + 9 + 7 - 33*v**2 + 12*v**3 + 10*v**3 - 10*v**3 + 13*v**2 - 12*v.
4*(v - 1)**2*(v + 1)*(v + 4)
Suppose -m + 3*x - 40 = 75, -2*m + 5*x = 225. Let b be (-545)/m - 5 - 4/16. Factor -b*c**2 + 0 + 1/5*c.
-c*(c - 1)/5
Let k be 127/6*6/1. Let f = k + -122. Factor 6*y**2 - 2*y - 1/2*y**f + 3*y**4 + 0 - 13/2*y**3.
-y*(y - 2)**2*(y - 1)**2/2
Let l(r) be the second derivative of -135*r**7/14 + 237*r**6/2 - 527*r**5/2 + 255*r**4/2 + 185*r**3/2 + 35*r**2/2 + r - 8. Determine m so that l(m) = 0.
-1/9, 1, 7
Solve -32/9*l - 256/9 - 1/9*l**2 = 0.
-16
Let d(f) = -f**2 + 214*f - 420. Let n be d(2). Let 0*y + 0 + 2*y**3 + 2*y**2 + 1/2*y**n = 0. Calculate y.
-2, 0
Let c = -122 - -125. Let q(g) be the second derivative of 0 - 5*g + 1/12*g**4 + 1/6*g**c + 0*g**2. Factor q(y).
y*(y + 1)
Let p be (12/(-48))/((-30)/16). Let z(j) be the first derivative of 3/10*j**4 + p*j**3 - 1/15*j**6 + 0*j - 2/25*j**5 + 7 - 2/5*j**2. Solve z(o) = 0.
-2, -1, 0, 1
Let c(z) be the first derivative of 9*z**4/20 + 2*z**3 - 153*z**2/10 - 54*z/5 - 205. Factor c(t).
3*(t - 3)*(t + 6)*(3*t + 1)/5
Let r = 4366/48105 + -2/1069. Let i(a) be the third derivative of 0 + 10*a**2 + 1/60*a**4 + 0*a - r*a**3 + 1/450*a**5. Factor i(p).
2*(p - 1)*(p + 4)/15
Let q(b) = -10*b**4 - 5*b**3 - 5*b + 5. Let f(c) = -c**5 - 10*c**4 - 5*c**3 - 4*c + 4. Let w(k) = 5*f(k) - 4*q(k). Let w(j) = 0. What is j?
-1, 0
Let m(q) be the first derivative of q**8/336 + q**7/42 - 2*q**5/3 - 10*q**4/3 - 8*q**3 + 1. Let r(s) be the third derivative of m(s). Factor r(u).
5*(u - 2)*(u + 2)**3
Find f such that -152*f**3 + 9*f**2 + 86*f - 49*f**2 - 14*f + 154*f**3 = 0.
0, 2, 18
Suppose 22 - 22 = 3*f. Suppose -7 = z - 12. What is h in -h**2 + f + 1/2*h**z + 0*h**4 + 0*h - 3/2*h**3 = 0?
-1, 0, 2
Let k(v) be the second derivative of -v**7/84 + v**6/20 + 9*v**5/40 - 9*v**4/8 - 230*v. Solve k(u) = 0 for u.
-3, 0, 3
Let w = 214/7 - 1537/56. Let g = 191/56 - w. Suppose g*b**3 - 2/7*b - 2/7 + 2/7*b**2 = 0. Calculate b.
-1, 1
Suppose -2*k + 2 = -4. Let h = k + -1. Find a, given that 1 - 2 - 2*a**h - 5 + 9*a - a**2 = 0.
1, 2
Let w(h) be the second derivative of -h**6/6 + 11*h**5/4 + 5*h**4 + 107*h. Factor w(d).
-5*d**2*(d - 12)*(d + 1)
Let d be 18/(-72) - ((-154)/8 - 1). Suppose -3*t**2 - d*t + 13 - 11 - 52 + t**2 = 0. What is t?
-5
What is b in 44/7*b - 10*b**2 - 50/7*b**4 + 0 - 170/7*b**3 + 6/7*b**5 = 0?
-2, -1, 0, 1/3, 11
Suppose -38*o + 155*o = 0. Find n such that 0*n + 0 + o*n**2 - 3/2*n**4 + 3/2*n**5 - 3*n**3 = 0.
-1, 0, 2
Let u = 57485/3 - 18991. Factor -512/3 - 32/3*a**3 - 2/3*a**4 - 64*a**2 - u*a.
-2*(a + 4)**4/3
Let r(a) be the third derivative of a**6/30 + 47*a**5/60 + 17*a**4/6 - 10*a**3/3 + 3*a**2 + 12*a. Factor r(i).
(i + 2)*(i + 10)*(4*i - 1)
Let d(t) be the first derivative of 3*t**4/22 + 4*t**3/33 - 7*t**2/11 + 4*t/11 - 20. Determine y, given that d(y) = 0.
-2, 1/3, 1
Let t(z) = -z**2 + 10*z - 20. Let h be t(5). Factor -40 + 0 - 20 + 5*m**2 - h*m.
5*(m - 4)*(m + 3)
Find i, given that -18*i + i**3 + i**3 + 3*i**4 + 36 + 336*i**2 - i**4 - 358*i**2 = 0.
-3, -2, 1, 3
Let x be ((-36)/(-24))/(87 + 3). Let u(k) be the third derivative of 1/150*k**5 - 2/15*k**3 - x*k**4 + 0*k + 11*k**2 + 0. Solve u(a) = 0 for a.
-1, 2
Let g(z) be the third derivative of -4*z**7/945 - z**6/20 - 37*z**5/270 - z**4/12 + 5*z**3/27 - 20*z**2 - 5. Determine w, given that g(w) = 0.
-5, -1, 1/4
Suppose -4*v - v + 25 = 0, -4*v = -3*o - 5. Factor 2*a**2 - 8*a**4 + 4*a**4 + 2*a**o + 2*a**2 - 2*a.
2*a*(a - 1)**3*(a + 1)
Let l be 32/(-6) + (39 - 33). Let b be (10/(-45) - 21/27)*-3. Factor 0*o - l*o**2 + 0 + 2/3*o**b.
2*o**2*(o - 1)/3
Let o(k) = 6*k**3 + 1 + 15*k**2 + 4 + 4*k + 12*k. Let w(r) = -r**3 - r. Let m(p) = -o(p) - w(p). Factor m(n).
-5*(n + 1)**3
Solve -2*g**2 - g - 5/4*g**3 + 0 - 1/4*g**4 = 0.
-2, -1, 0
Let h be (10/4)/(25/20). Solve -h*k - 19*k + k**2 - 2*k**2 + 5*k - 64 = 0.
-8
Let y(a) be the second derivative of -10/3*a**3 - 5/4*a**5 + 8*a + 1/6*a**6 + 0*a**2 + 10/3*a**4 + 0. Factor y(k).
5*k*(k - 2)**2*(k - 1)
Let d(r) be the second derivative of -r**8/784 - r**7/245 + r**5/70 + r**4/56 - 5*r**2 - 3*r. Let x(s) be the first derivative of d(s). Factor x(w).
-3*w*(w - 1)*(w + 1)**3/7
Let n(h) be the third derivative of h**9/3780 - h**8/5040 - h**7/315 + h**6/180 - h**5/5 - 6*h**2. Let q(x) be the third derivative of n(x). Factor q(y).
4*(y - 1)*(y + 1)*(4*y - 1)
Let p(h) be the second derivative of 3*h**5/20 + 109*h**4/4 + 1512*h**3 + 4374*h**2 + 225*h + 2. Solve p(b) = 0 for b.
-54, -1
Determine b, given that 27 + 3*b**4 + 42 + 39*b**3 + 12 - 6*b**4 - 3*b**3 - 36*b - 78*b**2 = 0.
-1, 1, 3, 9
Solve -529*p + 5*p**4 + 130 + 272*p + 206*p - 135*p**2 + 176*p - 125*p**3 = 0.
-1, 1, 26
Let r(u) = -6*u**2 + u. Let b be -4 - -7 - (-1 - -1). Let q(o) be the second derivative of -o**4/4 - 9*o. Let p(d) = b*r(d) - 5*q(d). Factor p(t).
-3*t*(t - 1)
Suppose 72/5*m**3 - 12/5*m**4 + 0 - 63/5*m**2 + 3*m = 0. Calculate m.
0, 1/2, 5
Let y(q) be the first derivative of 9 - 1/14*q**2 + 1/21*q**3 + 0*q. Find g, given that y(g) = 0.
0, 1
Let k(z) = z**4 + z**3 + z. Let x(t) = t**5 - 18*t**4 - 7*t**3 + 12*t**2 - 6*t. Let m(h) = -6*k(h) - x(h). Factor m(w).
-w**2*(w - 12)*(w - 1)*(w + 1)
Suppose 0 = -4*i - 2*k, 3*i - 3*k - 22 = -2*i. Factor 25*r + 3*r**3 + 25*r**4 - 18*r**4 - 12*r**4 + 6 + 27*r**i.
-(r - 3)*(r + 1)**2*(5*r + 2)
Let r(b) be the second derivative of b**7/13860 - b**6/3960 - b**5/330 - b**4/4 + b. Let y(w) be the third derivative of r(w). Suppose y(t) = 0. Calculate t.
-1, 2
Let y = 40 - 27. Factor -y*j**2 - 8*j**3 - 10*j**4 + 35*j**2 - 10 - 4*j + 10.
-2*j*(j - 1)*(j + 2)*(5*j - 1)
Let o = 42 - 46. Let g be (4 - o)/((-12)/(-2)). Factor 10/3*n**3 + g + 6*n**2 + 2/3*n**4 + 14/3*n.
2*(n + 1)**3*(n + 2)/3
Let r(f) = -f**3 + 6*f**2 + 7*f + 2. Let s be r(7). Let b = 195/94 - 209/282. Factor 2*c**s + b*c + 2/3*c**3 + 0.
2*c*(c + 1)*(c + 2)/3
Let x(f) be the second derivative of f**4/6 - 53*f**3/3 + 52*f**2 + 6*f - 31. What is o in x(o) = 0?
1, 52
Let i(a) = 6*a**3 - 63*a**2 + 114*a - 54. Let z(t) = -5*t**3 + 63*t**2 - 115*t + 55. Let v(j) = -2*i(j) - 3*z(j). Factor v(q).
3*(q - 19)*(q - 1)**2
Let z(d) be the first derivative of -d**3/15 + d**2 - 9*d/5 - 124. Factor z(h).
-(h - 9)*(h - 1)/5
Factor -28/3*x**2 + 2/3*x**5 - 10/3*x - 4/3*x**4 - 8*x**3 + 0.
2*x*(x - 5)*(x + 1)**3/3
Let r = -43 + 47. Factor -2*u**2 - 12*u + r*u + 11*u - u**3.
-u*(u - 1)*(u + 3)
Let c(x) = -265*x - 540. Let t(v) = -v**2 - 265*v - 538. Let d(a) = 6*c(a) - 5*t(a). Determine r, given that d(r) = 0.
-2, 55
Let i(g) be the first derivative of -3 + 1/1800*g**6 - 1/600*g**5 - 1/3*g**3 - 1/60*g**4 + 0*g + 0*g**2. Let l(x) be the third derivative of i(x). Factor l(h).
(h - 2)*(h + 1)/5
Let f = -26341/3 + 8882. Let q = f - 101. Factor -q - 1/3*y**2 + y.
-(y - 2)*(y - 1)/3
Suppose -8*f = -3*f - 15. Suppose 0*r**2 - r**4 + 18*r - 7*r**f + 7*r - 8*r**2 - 9*r = 0. Calculate r.
-4, 0, 1
Let x(o) = 99*o**3 + 389*o**2 + 335*o - 72. Let g(v) = 33*v**3 + 130*v**2 + 112*v - 24. Let h = 24 + -28. Let f(q) = h*x(q) + 11*g(q). Factor f(a).
-3*(a + 2)**2*(11*