rst derivative of -4*a**5/15 + a**4/4 + a**3/9 + 4. Factor k(n).
-n**2*(n - 1)*(4*n + 1)/3
Factor 3*j - 13*j - 5*j - 18 + 3*j**2.
3*(j - 6)*(j + 1)
Let t(l) = 12*l**3 + 21*l**2 + 4*l + 5. Let d(p) = p**3 + p**2 + 1. Let i(b) = 5*d(b) - t(b). Factor i(u).
-u*(u + 2)*(7*u + 2)
Let q = -4/167 + 1519/668. Factor q*o - 3/2 - 3/4*o**2.
-3*(o - 2)*(o - 1)/4
Suppose -5*q - 3*w - 23 = -3*q, -5*w = -2*q + 1. Let x = q - -9. Suppose 0 + 2/3*j + x*j**3 - 8/3*j**2 = 0. Calculate j.
0, 1/3, 1
Let a(s) be the second derivative of s**8/2240 - s**7/840 - s**6/120 - s**4/3 - 3*s. Let o(v) be the third derivative of a(v). Solve o(w) = 0 for w.
-1, 0, 2
Let z(k) be the second derivative of -k**7/12 - 13*k**6/30 - 17*k**5/20 - 2*k**4/3 + k**3/12 + k**2/2 + 17*k. Find f such that z(f) = 0.
-1, 2/7
Let v(z) be the third derivative of z**5/150 - z**4/60 + 3*z**2 - 10. Factor v(q).
2*q*(q - 1)/5
Determine l so that -4/9 - 2/9*l**2 + 2/3*l = 0.
1, 2
Let o(l) be the third derivative of 0*l**7 + 1/132*l**4 + 0 - 1/330*l**6 + 0*l + 0*l**5 + 0*l**3 + 1/1848*l**8 - l**2. What is u in o(u) = 0?
-1, 0, 1
Let i(k) be the first derivative of k**4/10 + 2*k**3/15 + 24. Factor i(m).
2*m**2*(m + 1)/5
Let q(s) = -s**2 + 6*s - 5. Let l be q(4). Suppose 4*v = 2*c + 10, -4*v + 0*c - 15 = 3*c. Factor -1/4*k + 0*k**2 + 1/4*k**l + v.
k*(k - 1)*(k + 1)/4
Let r(x) be the third derivative of x**8/20160 - x**7/5040 + x**5/30 + 2*x**2. Let j(i) be the third derivative of r(i). Factor j(t).
t*(t - 1)
Let x(i) be the second derivative of -i**9/504 - i**8/105 - i**7/70 + i**5/60 - i**3/6 - 2*i. Let n(h) be the second derivative of x(h). Factor n(t).
-2*t*(t + 1)**3*(3*t - 1)
Let g = -224 - -65. Let w = g + 798/5. Factor 3/5*t**5 + 0*t + 0 + 3/5*t**4 - 3/5*t**2 - w*t**3.
3*t**2*(t - 1)*(t + 1)**2/5
Suppose 0 = 4*q - q - 12. Factor -c**3 - 1 + 1 - 14*c**q + 5*c**3.
-2*c**3*(7*c - 2)
Let t = 1/9 - -2/9. Solve -4/3*u + t*u**2 + 1 = 0 for u.
1, 3
Let z = -2 - -4. Determine d so that 0*d + 6*d**2 - 3*d**4 + 0*d**z - 3*d - 3 - 3*d**5 + 6*d**3 = 0.
-1, 1
Factor 9/2*w**2 - 3/2*w**3 - 3/2*w**4 + 15/2*w + 3.
-3*(w - 2)*(w + 1)**3/2
Suppose 3*f = 14*f. Determine s, given that 3/4*s**3 + f - 1/4*s**4 + 1/4*s - 3/4*s**2 = 0.
0, 1
Suppose 3*t + t + 8 = -5*z, 3*z = t + 2. Let b = 0 - t. Solve r**2 - 5 + 6*r + 1 - r**b - 2*r**3 = 0.
-2, 1
Let f(o) = -o**3 + 7*o**2 + 9*o - 5. Let z be f(8). Factor z*w**2 - 3*w**2 + 0*w**2 + 3 - 6*w + 3*w**2.
3*(w - 1)**2
Let x(n) = -2*n**3 - 22*n**2 - 47*n + 10. Let j be x(-8). Determine r so that -3/5*r**j + 0*r + 0 = 0.
0
Let m(k) be the third derivative of -75*k**8/112 + 47*k**7/7 - 235*k**6/12 + 16*k**5/3 + 125*k**4/8 - 15*k**3 - 5*k**2. Let m(l) = 0. Calculate l.
-2/5, 1/3, 3
Let n(d) be the third derivative of d**5/150 - 5*d**2. Factor n(l).
2*l**2/5
Let h(n) be the third derivative of n**8/26880 - n**7/5040 - n**6/2880 + n**5/240 - n**4/8 + 4*n**2. Let i(x) be the second derivative of h(x). Factor i(f).
(f - 2)*(f - 1)*(f + 1)/4
Let h(a) = 4*a**3 - 16*a**2 + 3*a - 3. Let g(i) = -5*i**3 + 17*i**2 - 4*i + 4. Let f(k) = -3*g(k) - 4*h(k). Suppose f(y) = 0. What is y?
0, 13
Determine p so that -4*p**4 + 10 + 2*p**5 - 4*p**5 - 2*p**3 - 10 = 0.
-1, 0
Suppose -3*t = 2*z + 8, -2*z - 4*t - 4 = -3*t. Let o be 0 - (z + 3/5). Factor 8/5*r**2 - 3/5*r**3 - 7/5*r + o.
-(r - 1)**2*(3*r - 2)/5
Suppose 20 = 3*n - 1. Suppose n*p = 2*p + 10. Solve 0 - 3/5*j + 3/5*j**3 - 3/5*j**p + 3/5*j**4 = 0.
-1, 0, 1
Let x(y) = y**5 + 3*y**4 + y**3 - 3*y**2 + 2*y - 2. Let h(s) = -3*s**5 - 10*s**4 - 4*s**3 + 10*s**2 - 7*s + 7. Let k(t) = 4*h(t) + 14*x(t). Factor k(a).
2*a**2*(a - 1)*(a + 1)**2
Factor 4*o**3 + 18 - 5*o + o + 4*o**2 - 22.
4*(o - 1)*(o + 1)**2
Let k = -6 + -16. Let z = k + 45/2. Factor z*h**2 + 0 - h**3 + 1/2*h**4 + 0*h.
h**2*(h - 1)**2/2
Let r = -10 + 13. What is p in r + 15/2*p**3 - 15/2*p - 3*p**2 = 0?
-1, 2/5, 1
Let x(u) = -4*u**3 + u**2 + 2*u + 2. Let p be x(0). Let 4*z + 4/3*z**p - 16/3 = 0. What is z?
-4, 1
Suppose 5*x = -2*s + 14, -4*x = s - 12 + 2. Factor 0*i**2 - 2*i**5 + 6*i**3 + 0*i**2 + 6*i**s - 2*i**2.
-2*i**2*(i - 2)*(i + 1)**2
Let x be 2612/8*6/(-12). Let i = x + 164. Let -3/4 - i*h**2 + 3/2*h = 0. Calculate h.
1
Let z(s) be the first derivative of -2*s**5/5 + 2*s**4 - 4*s**3/3 - 4*s**2 + 6*s + 4. Factor z(b).
-2*(b - 3)*(b - 1)**2*(b + 1)
Let p(s) be the second derivative of 0 - 9/10*s**5 - 100/9*s**3 - 3/5*s**6 + 8*s**2 + 7*s**4 + 6*s. Suppose p(c) = 0. What is c?
-3, 2/3
Suppose 5*v = 246 - 246. Factor 1/3*c**4 + v - 1/3*c + 1/3*c**3 - 1/3*c**2.
c*(c - 1)*(c + 1)**2/3
Let a(g) = 3*g**5 - g**4 - 3*g**3 + g**2 + 2*g - 2. Let h = 0 + 2. Let p = 0 - h. Let j(c) = c**5 - c**3 + c - 1. Let f(u) = p*j(u) + a(u). Factor f(w).
w**2*(w - 1)**2*(w + 1)
Let y(h) be the second derivative of 0 + 3*h - 1/6*h**3 + 1/600*h**6 - 1/40*h**4 + 0*h**2 + 0*h**5. Let i(p) be the second derivative of y(p). Factor i(t).
3*(t - 1)*(t + 1)/5
Solve -3 + 21*l**3 + 1 + 6*l**2 + 0*l**3 - 21*l - 4 = 0 for l.
-1, -2/7, 1
Let b(w) be the third derivative of w**6/280 + 2*w**5/105 + w**4/42 + 16*w**2. Suppose b(d) = 0. What is d?
-2, -2/3, 0
Let p(u) be the second derivative of u**6/1260 - u**5/210 + u**4/84 - 2*u**3/3 + 2*u. Let v(r) be the second derivative of p(r). Solve v(y) = 0.
1
Let n be (-48)/(-21) - (-1 - -3). Factor 0*h - n*h**2 + 0 + 2/7*h**3.
2*h**2*(h - 1)/7
Let w = 0 - -2. Suppose 0*p - 4 = -w*p. Determine c so that c**2 + 3*c**3 + c**4 - 2 + c**2 + 0*c**4 - c**p - 3*c = 0.
-2, -1, 1
Let b be (-7)/(56/60)*4. Let w = -30 - b. What is s in 0*s**3 + 0 - 1/2*s**4 + 1/2*s**2 + w*s = 0?
-1, 0, 1
Solve -15/4*m**3 - 5*m**4 + 5*m**2 - 5/4*m**5 + 0 + 5*m = 0.
-2, -1, 0, 1
Suppose d = 3*d - 2. Suppose 3*g - d = 11. Factor 0*x**2 - 2/5*x + 2/5*x**3 + 1/5*x**g - 1/5.
(x - 1)*(x + 1)**3/5
Let m(v) = 67*v**4 - 17*v**3 - 52*v**2 + 40*v + 1. Let q(p) = -66*p**4 + 18*p**3 + 51*p**2 - 39*p. Let n(t) = -6*m(t) - 7*q(t). What is o in n(o) = 0?
-1, 2/5, 1/2
Let m(d) be the first derivative of d**4/16 - 7*d**3/12 - 17*d**2/8 - 9*d/4 - 27. Factor m(z).
(z - 9)*(z + 1)**2/4
Let c = 3 - 5. Let n be c - (108/(-28) + 1). What is q in 8/7*q + 2/7*q**4 + 8/7 - 4/7*q**3 - n*q**2 = 0?
-1, 2
Let l be 2 + -9 + 0 - -1. Let k be ((-14)/l - -1) + -3. Factor 0*j + k*j**3 - 1/3*j**2 + 0.
j**2*(j - 1)/3
Let t = 25 - 22. Let a be 2/2 - (-2)/t. Factor 10/3*q**2 + 10/3*q**3 + 1/3 + 1/3*q**5 + a*q + 5/3*q**4.
(q + 1)**5/3
Factor 1/5 - 1/5*a - 1/5*a**2 + 1/5*a**3.
(a - 1)**2*(a + 1)/5
Let y(m) be the third derivative of m**7/350 - m**6/200 - 3*m**5/100 + m**4/8 - m**3/5 - 23*m**2. Factor y(x).
3*(x - 1)**3*(x + 2)/5
Suppose -21 = -7*b + 4*b - s, 33 = 3*b - 3*s. Factor -b*m**2 - 2*m - 2*m - m + m**2 + 2.
-(m + 1)*(7*m - 2)
Let p be (2 - -2) + 2/1. Suppose -4*i + 3*q + 11 + p = 0, -4*i + 52 = 4*q. Solve 0*m**3 - 8 - 8*m - i*m - 2*m**3 - 10*m**2 = 0 for m.
-2, -1
Let d(w) = -14*w**3 - 18*w**2 + 6*w + 10. Let n(k) = 9*k**3 + 12*k**2 - 4*k - 7. Let s(u) = -5*d(u) - 8*n(u). Suppose s(o) = 0. Calculate o.
-3, -1, 1
Let f(j) = -2*j**2 + 10*j - 5. Let v be f(4). Factor -r**2 + 0 + 1/2*r + 1/2*r**v.
r*(r - 1)**2/2
Let v(o) = 6*o + 12. Let y(g) = -5*g - 11. Let m(d) = -6*v(d) - 7*y(d). Let q be m(5). Determine i, given that 6/7*i**3 + 0*i - 27/7*i**4 + 0 + q*i**2 = 0.
0, 2/9
Let x(g) = 3*g**2 - 2*g - 2. Let k be x(-1). Determine q, given that 2/9*q**k + 0*q + 0 + 4/9*q**2 = 0.
-2, 0
Let s(u) be the second derivative of 4*u + 1/6*u**4 + 0 + 0*u**2 + 1/3*u**3. Factor s(o).
2*o*(o + 1)
Let k(l) be the first derivative of l**6/18 + 2*l**5/15 - l**4/4 - 8*l**3/9 - 2*l**2/3 - 8. Factor k(y).
y*(y - 2)*(y + 1)**2*(y + 2)/3
Let i(g) = g**2 - 6*g. Let f be i(5). Let k be -3*f/90*8. Find s, given that 2/3*s**2 + k*s + 2/3 = 0.
-1
Determine g so that -7*g**3 + 6*g**3 - 2*g**5 + 5*g - 9*g**3 + 7*g**5 = 0.
-1, 0, 1
Factor 5/2*r + 17/2*r**2 - 10*r**3 - 1.
-(r - 1)*(4*r - 1)*(5*r + 2)/2
Let i(u) be the first derivative of 2*u**3/3 + u**2 - 23. Factor i(x).
2*x*(x + 1)
Let z(o) = o. Let i be z(1). Factor 0*p**2 - 2*p**2 - p**4 + i + 2*p**4.
(p - 1)**2*(p + 1)**2
Let p be (-3)/(-6) - 4/(-8). Factor -1 + 20*m + 4*m**3 - p + 10 + 16*m**2.
4*(m + 1)**2*(m + 2)
Let j(f) = 4*f**4 - 4*f**3 + 2*f + 2. Let m(w) = w + 1. Let o be m(-3). Let z(b) = -b**4 + b + 1. Let a(y) = o