 second derivative of h + 1/9*h**l + 1/30*h**5 + 0 - 1/3*h**3 + 0*h**2. Factor d(c).
2*c*(c - 1)*(c + 3)/3
Solve 15/4*n - 27/8 - 3/8*n**2 = 0 for n.
1, 9
Suppose 5*a - 2*a - 15 = 0. Suppose -a*g + 3*j = -4, -4*j + 5 + 3 = 0. Solve -6 - 12*f**2 - 30*f**g + 2 + 22*f + 10*f**2 + 14*f**3 = 0 for f.
2/7, 1
Let d(w) = 39*w**3 - 81*w**2 - 102*w + 21. Let n(j) = 78*j**3 - 163*j**2 - 205*j + 41. Let p(g) = -5*d(g) + 3*n(g). Factor p(y).
3*(y - 3)*(y + 1)*(13*y - 2)
Let g be ((-1)/(-3))/(-2 - (-65)/30). Let -5*p**4 + 14*p**2 - 12*p**g + 3*p**2 = 0. What is p?
-1, 0, 1
Let x(c) be the first derivative of -90*c + 5/4*c**4 + 20/3*c**3 + 1 - 15/2*c**2. Factor x(p).
5*(p - 2)*(p + 3)**2
Let h(n) = -n**2 + 3*n - 4. Let x be h(3). Let s be (x + 4 + 1)/((-3)/(-9)). Solve -2/3*q - 4/3 - 16/3*q**4 + 10/3*q**5 - 8/3*q**s + 20/3*q**2 = 0 for q.
-1, -2/5, 1
Let m be (-133)/(-95)*(-50)/(-35). Factor x**3 - 1/5*x**4 - x + 7/5*x**m - 6/5.
-(x - 6)*(x - 1)*(x + 1)**2/5
Let r(i) be the first derivative of 0*i**2 + 52 + 1/3*i**3 + 0*i. Factor r(s).
s**2
Let w(v) = -3*v**2 + 16*v - 41. Let h(z) = 13*z**2 - 64*z + 164. Let d(a) = -2*h(a) - 9*w(a). Let x be d(13). Factor 0 - 1/2*g**x - 1/6*g**4 - 1/6*g - 1/2*g**3.
-g*(g + 1)**3/6
Suppose -2*x = -4*w + 54, 0*w - 3*x - 39 = -3*w. Let f be 3*5/(15/2). Factor -f*h**2 - 2*h**3 - 8*h**3 - 2*h**2 + w*h**4.
2*h**2*(h - 1)*(7*h + 2)
Let h be (5/(-15))/(2/(-18)). Suppose 0 = h*g - g. Factor -k**4 + 2*k**2 + g*k**2 - k**5 + 4*k - 3*k - k**4.
-k*(k - 1)*(k + 1)**3
Let v(m) be the first derivative of m**4/16 - m**3/4 - 9*m**2/8 - 3*m + 2. Let t(z) be the first derivative of v(z). Solve t(u) = 0.
-1, 3
Let k be (1 + (-14)/(-16))/((-7120)/(-131008)). Find p such that -3*p**4 - 42*p**2 - 9 - k*p - 39/2*p**3 = 0.
-3, -2, -1, -1/2
Let z(c) be the first derivative of -c**6/2 - 3*c**5/5 + 9*c**4/2 - 2*c**3 - 15*c**2/2 + 9*c - 51. Factor z(i).
-3*(i - 1)**3*(i + 1)*(i + 3)
Let z(w) be the first derivative of 2/5*w**5 + 32*w + 24 + 3*w**4 - 24*w**2 + 2/3*w**3. Factor z(y).
2*(y - 1)**2*(y + 4)**2
Factor -2 + 383*y + 5*y**3 + 2 + 120*y**2 + 337*y.
5*y*(y + 12)**2
What is s in 6*s + 4/3*s**3 + 2/3*s**4 - 52/9*s**2 - 2/9*s**5 - 2 = 0?
-3, 1, 3
Let x(s) be the third derivative of s**8/60480 - s**7/15120 - 11*s**5/20 + 15*s**2. Let q(m) be the third derivative of x(m). What is o in q(o) = 0?
0, 1
Let k(z) be the third derivative of z**10/10080 + z**9/5040 - z**8/2240 - z**7/840 + 7*z**4/6 + 19*z**2. Let m(p) be the second derivative of k(p). Factor m(b).
3*b**2*(b - 1)*(b + 1)**2
Let n(m) be the second derivative of -2*m**6/15 + 4*m**5/5 + 9*m**4 + 76*m**3/3 + 32*m**2 - 28*m. Factor n(f).
-4*(f - 8)*(f + 1)**2*(f + 2)
Let y(c) = -6*c + 62. Let f be y(10). Let h(d) be the first derivative of 9/2*d + 3 + 25/6*d**3 - 15/2*d**f. Find x such that h(x) = 0.
3/5
Let v(b) = -23*b**2 - 2*b + 1. Let g be v(1). Let y = 27 + g. Factor -3/5*z**2 + 3/5*z**y + 0 - 3/5*z + 3/5*z**4.
3*z*(z - 1)*(z + 1)**2/5
Let m(p) = 25*p - 30*p - 2 + 9 + p**2 + 5*p**3 - 4*p**2 - 4*p**4. Let h(u) = -4*u**4 + 4*u**3 - 4*u**2 - 4*u + 8. Let g(o) = -3*h(o) + 4*m(o). Factor g(y).
-4*(y - 1)**3*(y + 1)
Let t(u) be the second derivative of u**4/4 + 14*u**3 - 87*u**2/2 - 189*u. Factor t(n).
3*(n - 1)*(n + 29)
Let -4 - 6*o - 3*o**2 - 1/2*o**3 = 0. What is o?
-2
Let d(t) be the second derivative of 4*t**5/5 - 31*t**4/3 + 112*t**3/3 + 32*t**2 - 3*t + 4. Solve d(g) = 0 for g.
-1/4, 4
Let x(k) be the first derivative of k**6/720 - 13*k**5/120 + 169*k**4/48 - 28*k**3/3 + 18. Let o(q) be the third derivative of x(q). Factor o(c).
(c - 13)**2/2
Let f(j) = 1. Let b(g) = 4*g**2 + 168*g - 177. Let w(t) = -b(t) - 5*f(t). Factor w(a).
-4*(a - 1)*(a + 43)
Let z be (-6)/(-4) + 165/110. Find a such that 1/2 - 3/2*a**4 + 3/2*a - 1/2*a**5 - a**z + a**2 = 0.
-1, 1
Let u be (-94)/(-18) - 8/36. Let d(a) = a**2 - 3*a - 8. Let h be d(u). Solve 4*w**3 - 2/3*w**h + 0 - 4/3*w = 0.
-1/2, 0, 2/3
Suppose 5*x - 1 = 9. Suppose 8*s + 0*s + 0*s + 3*s**2 - x*s = 0. What is s?
-2, 0
Let l(o) be the second derivative of 1/150*o**5 + 3*o**2 + 0 - 7*o + 4/15*o**3 - 1/15*o**4. Let h(z) be the first derivative of l(z). Factor h(g).
2*(g - 2)**2/5
Let y(w) be the second derivative of w**7/105 + 2*w**6/75 - w**5/25 - 4*w**4/15 - 7*w**3/15 - 2*w**2/5 + 60*w. Let y(l) = 0. What is l?
-1, 2
Find a such that 41*a**2 + 6*a**3 - a**3 - 84*a**2 + 38*a**2 = 0.
0, 1
Factor 392/9*c**2 + 0*c - 2/9*c**5 - 112/3*c**3 - 6*c**4 + 0.
-2*c**2*(c - 1)*(c + 14)**2/9
Let y(o) = -4*o**4 + 3*o**3 + 6*o**2 - o - 4. Let a(h) = h**5 - h**4 + h**3 - 1. Let c = 48 - 47. Let s(q) = c*a(q) - y(q). Factor s(m).
(m - 1)**2*(m + 1)**2*(m + 3)
Determine s so that -32*s**3 + 6*s**4 - 21243 + 21243 + 6*s**2 + 20*s = 0.
-2/3, 0, 1, 5
Let f(n) be the first derivative of -1/12*n**3 - 5/48*n**6 - 9/32*n**4 + 4 + 0*n + 0*n**2 - 3/10*n**5. Factor f(j).
-j**2*(j + 1)**2*(5*j + 2)/8
Let w = -24454 + 24454. Find p, given that -10/7*p**3 + 0 + 8/7*p**4 + w*p + 2/7*p**2 = 0.
0, 1/4, 1
Factor 0*a**3 + 0*a - 17*a**2 - a**4 + 8*a + 10*a**3.
-a*(a - 8)*(a - 1)**2
Let a(q) be the third derivative of q**5/12 + 5*q**4/3 + 35*q**3/6 + 29*q**2 - 1. Let a(z) = 0. Calculate z.
-7, -1
Let h(j) = 21*j**4 + 6*j**3 - 224*j + 379. Let s(f) = -25*f**4 - 5*f**3 - 2*f**2 + 224*f - 378. Let t(p) = -6*h(p) - 5*s(p). Factor t(d).
-(d - 3)*(d - 2)*(d + 8)**2
Let c(v) be the second derivative of v**7/12600 - 7*v**6/3600 + v**5/100 - 7*v**4/12 - 39*v. Let k(y) be the third derivative of c(y). Factor k(i).
(i - 6)*(i - 1)/5
Let s(r) be the third derivative of -r**5/240 + 9*r**4/4 - 486*r**3 + 154*r**2. Find t, given that s(t) = 0.
108
Let i = 13 - 8. Suppose 6*z + 45 = 171. Solve 0*k**3 - z*k + 21*k - i*k**3 = 0 for k.
0
Let c(n) be the second derivative of -n**6/360 + n**5/60 - n**4/36 - n**2/2 + 4*n. Let d(a) be the first derivative of c(a). Factor d(f).
-f*(f - 2)*(f - 1)/3
Let g = 2397/7 - 2265/7. Solve g*m**3 + 4/7*m + 64/7*m**5 + 40/7*m**2 + 0 + 160/7*m**4 = 0 for m.
-1, -1/4, 0
Let r(p) be the first derivative of p**3/4 - 3*p**2/4 - 60. Factor r(t).
3*t*(t - 2)/4
Let o(c) be the first derivative of -c**5/15 + c**4/12 + 13*c**3/9 - c**2/6 - 4*c + 319. Solve o(z) = 0 for z.
-3, -1, 1, 4
Let t = -2621/10 + 525/2. Solve -4/5*l**2 + 2/5 + t*l = 0.
-1/2, 1
Let h(x) = 7*x**3 - 2*x**2 + 36*x - 40. Let f(a) = 9*a**3 - a**2 + 36*a - 40. Let q(s) = -4*f(s) + 5*h(s). Solve q(j) = 0.
-10, 2
Let s(z) be the first derivative of 5*z**4/4 + 5*z**3/3 - 5*z**2 - 21. Let s(n) = 0. What is n?
-2, 0, 1
Let m(s) = -s**2 + s + 2. Suppose -6*x = -9*x + 6. Let b be m(x). Factor -1/2*f**4 + 1/4*f**5 + b*f**2 + 1/4*f**3 + 0*f + 0.
f**3*(f - 1)**2/4
Let o = 48 - 42. Factor -o*c + 6*c + c**3 - 2*c**2 - 3*c.
c*(c - 3)*(c + 1)
Let x(g) be the second derivative of g**5/30 - 7*g**4/18 - 2*g + 54. Factor x(z).
2*z**2*(z - 7)/3
Suppose 0 = 10*o - 16*o. Let u(i) be the second derivative of -8*i + o - 1/135*i**6 - 1/27*i**3 - 1/9*i**2 + 1/45*i**5 + 1/27*i**4 - 1/189*i**7. Factor u(j).
-2*(j - 1)**2*(j + 1)**3/9
Suppose -2*k + 4 = -k. Let c = -4 + k. Solve 2*o**3 + 0*o**3 + c*o**3 + 0*o**5 + 2*o**5 - 5*o**4 = 0 for o.
0, 1/2, 2
Let l be ((-4)/10)/((-16)/(-2980)). Let f = l - -75. Find p such that f - 1/4*p**2 - 1/4*p = 0.
-2, 1
Let i(s) be the third derivative of -1/60*s**6 - 1/60*s**5 + 1/140*s**7 - 1/12*s**3 - 9*s**2 + 0 + 0*s + 1/12*s**4. Find c, given that i(c) = 0.
-1, 1/3, 1
Let 0 - 2/17*d**2 + 12/17*d = 0. Calculate d.
0, 6
Let y = 3347/985 - -2/985. Let m = y + -16/5. Solve 1/5*i**4 - 3/5*i + m*i**2 + 3/5*i**3 - 2/5 = 0.
-2, -1, 1
Suppose -2*u + 7 = 9. Let n(g) = -3*g**3 + g**2 - g - 2. Let d be n(u). Factor -4 - 6*s**d - 2*s**2 - 4*s**4 + 2*s**5 + 8*s + 4 + 10*s**2.
2*s*(s - 2)**2*(s + 1)**2
Let o(r) = -r**4 - 16*r**3 + 27*r**2 - 12*r + 8. Let c(u) = -6*u**4 - 80*u**3 + 134*u**2 - 59*u + 44. Let d(p) = 4*c(p) - 22*o(p). Factor d(s).
-2*s*(s - 14)*(s - 1)**2
Let l(s) be the second derivative of -5/3*s**3 + 0*s**4 + 1/180*s**6 + 0*s**2 + 0 + 1/30*s**5 + s. Let k(z) be the second derivative of l(z). Factor k(j).
2*j*(j + 2)
Let g = -149 - -151. Let h(i) be the first derivative of 0*i**g + 1/3*i**6 - 4/5*i**5 + 3 + 1/2*i**4 + 0*i**3 + 0*i. Factor h(v).
2*v**3*(v - 1)**2
Let g(n) be the first derivative of 0*n**2 - 3*n - 9 