.
4*(g - 2)*(g + 1)**2/3
Determine j so that -1/2*j**3 - 1 + 0*j**2 + 3/2*j = 0.
-2, 1
Let q(u) be the third derivative of -u**9/5040 + u**8/3360 + u**7/840 - u**6/360 + u**4/3 - 7*u**2. Let p(h) be the second derivative of q(h). Factor p(y).
-y*(y - 1)*(y + 1)*(3*y - 2)
Let x = -72 - -71. Let n(i) = -4*i**3 + 2*i**3 - 4*i**2 - 12*i**5 + 2*i**5 + 4*i**4. Let m(v) = -v**5 - v**4 - v**3. Let o(s) = x*n(s) + 4*m(s). Factor o(k).
2*k**2*(k - 1)**2*(3*k + 2)
Suppose -5*m + 45 = 5*y, 2*m = 2*y + 18 + 12. Let r be m/15*(-5)/(-2). Solve -2/9*i**r + 0 + 0*i = 0.
0
Let y(r) be the second derivative of -2*r**4/3 + 14*r**3/3 - 12*r**2 + 17*r. Factor y(d).
-4*(d - 2)*(2*d - 3)
Suppose -3*t + 7 = 1. Let v = t - -1. Suppose 3*l**v - 3*l + 3*l**3 - 10*l**2 + 7*l = 0. Calculate l.
0, 2/3, 1
Factor -1 + 5*l - 7 - 3*l - 4*l**2 - 14*l.
-4*(l + 1)*(l + 2)
Let m(o) be the second derivative of o**5/100 + o**4/60 - o**3/30 - o**2/10 - 4*o. Factor m(r).
(r - 1)*(r + 1)**2/5
Let d be -2*(3 - (-4)/(-1)). Factor -3 - 4*u + 3*u**2 - 2*u**d + 0 + 6*u.
(u - 1)*(u + 3)
Factor 61 + 4*d - 61 - 8*d**2 + 4*d**3.
4*d*(d - 1)**2
Let o = -18 - -29. Suppose -3*d + o = -1. Factor 0*p + 2/9*p**d + 0 + 0*p**3 - 2/9*p**2.
2*p**2*(p - 1)*(p + 1)/9
Let i = 4 + 1. Suppose -2 - 9*m**2 - 2 - 7*m - i*m = 0. Calculate m.
-2/3
Factor 9/5*c**2 + 0 - 12/5*c.
3*c*(3*c - 4)/5
Find d such that -4*d**2 - 191 + 93 + 94 + 8*d = 0.
1
Let f(i) be the second derivative of i**9/9072 - i**8/5040 + 5*i**3/6 + 4*i. Let k(x) be the second derivative of f(x). Factor k(s).
s**4*(s - 1)/3
Let m(x) = x**3 - x**2 + x + 1. Let s(c) = 5*c**5 - 30*c**4 + 42*c**3 + 3*c**2 - 3*c - 3. Let a(n) = 3*m(n) + s(n). Find h, given that a(h) = 0.
0, 3
Let a(v) = 2*v**3 - v**2 - 5*v. Let u be a(-3). Let j = u + 52. Solve 8/7*b**3 + 8/7*b + 12/7*b**2 + 2/7*b**j + 2/7 = 0.
-1
Let t(d) = -d - 7. Let z be t(-9). Let m(h) be the second derivative of 2*h + 0 - 1/6*h**3 + 1/12*h**4 + 0*h**z. Factor m(p).
p*(p - 1)
Suppose 0*k - 5*k = -15. Let s be k + -1 + (1 - 1). Factor -m - 2*m**3 + 1 + 2*m**s + 3*m - 3.
-2*(m - 1)**2*(m + 1)
Let b(z) = z**2 + 15*z - 16. Let i be b(-11). Let a be 8/(-12) - 88/i. Find n, given that -a*n**2 + 6/5*n**3 + 0*n - 2/5*n**4 + 0 = 0.
0, 1, 2
Suppose 4*b - 3*l - 6 = -0*b, -b - 3 = -3*l. Factor h**4 + 0*h**b - h - h**2 + h**3 + 0*h**3.
h*(h - 1)*(h + 1)**2
Suppose -3*f - 6 = -6*f. Suppose 0 = 7*v - f*v. Factor 0*i**3 + v - 4/7*i**2 - 2/7*i**5 + 4/7*i**4 + 2/7*i.
-2*i*(i - 1)**3*(i + 1)/7
Let n be 2 + 0/(-2) - (-18)/(-12). Suppose -1/2 + h - n*h**2 = 0. What is h?
1
Let t be (2/(-5))/(8/(-10)). Let q = 6/11 - 1/22. What is a in 1/2*a**2 - q*a**4 - t*a**3 + 0 + 1/2*a = 0?
-1, 0, 1
Let o(r) be the third derivative of -r**8/2352 + r**6/420 - r**4/168 + r**2. Factor o(n).
-n*(n - 1)**2*(n + 1)**2/7
Let l(w) be the third derivative of w**5/60 + w**4/12 - 2*w**3/3 + 3*w**2. Let m be l(-4). Factor 4*n**2 - n**4 - 4*n**2 - n**2 + 2*n**m.
n**2*(n - 1)*(n + 1)
Let w(a) be the second derivative of -a**7/63 - a**6/45 + a**5/15 + a**4/9 - a**3/9 - a**2/3 - a - 4. What is c in w(c) = 0?
-1, 1
Let y = 77/18 - 3193/738. Let k = 51/205 + y. Factor k*z**2 - 1/5*z**3 - 1/5 + 1/5*z.
-(z - 1)**2*(z + 1)/5
Let n(z) be the first derivative of 35*z**4/4 + z**3 - 15*z**2 - 8*z - 24. Factor n(g).
(g - 1)*(5*g + 4)*(7*g + 2)
Let l be 2 - (-3 + 1 + 2). Let 0*f + 0 + 2/5*f**l = 0. Calculate f.
0
Solve -31*r**2 + r**4 + 4*r**4 + 26*r**2 = 0.
-1, 0, 1
Let h(s) = -6*s**2 + 24*s - 19. Let b(g) = 3*g**2 - 12*g + 9. Let l(i) = 5*b(i) + 3*h(i). Factor l(m).
-3*(m - 2)**2
Let n(w) be the third derivative of -1/48*w**4 + 0 - 1/120*w**5 + 0*w + 0*w**3 - w**2. Factor n(a).
-a*(a + 1)/2
Let n(s) be the third derivative of -s**8/560 + 3*s**6/100 - 2*s**5/25 + 3*s**4/40 - 14*s**2. Factor n(u).
-3*u*(u - 1)**3*(u + 3)/5
Factor 2*o + 28*o**2 - 11*o**2 - 16*o**2.
o*(o + 2)
Let y(h) be the first derivative of 1/10*h**5 + 2 - 1/12*h**4 - h + 0*h**3 - 1/30*h**6 + 0*h**2. Let w(z) be the first derivative of y(z). Solve w(i) = 0.
0, 1
Let l(m) be the first derivative of 4 - 1/120*m**5 + 0*m**2 + 1/36*m**4 - 3*m + 0*m**3. Let j(w) be the first derivative of l(w). Factor j(z).
-z**2*(z - 2)/6
Let y(q) = 20*q**2 + 20*q - 8. Let l(u) = -13*u**2 - 13*u + 5. Let g(a) = 8*l(a) + 5*y(a). Let g(i) = 0. What is i?
-1, 0
Let v(m) = -m - 9. Let c be v(-10). Let r(o) be the first derivative of 1/8*o**4 + 3/4*o**2 - 1/2*o**3 + c - 1/2*o. What is a in r(a) = 0?
1
Suppose 2*s + 7 = 2*v - 3, 5*v + 2*s + 10 = 0. Let z be v + 5 + -1 + -1. Let 3*d**3 - 4*d**3 + 4*d - z*d = 0. Calculate d.
-1, 0, 1
Let l(h) be the third derivative of h**9/3024 - h**8/1680 - h**7/840 + h**6/360 + h**3/2 + 2*h**2. Let g(w) be the first derivative of l(w). Factor g(p).
p**2*(p - 1)**2*(p + 1)
Suppose l = -w + 5*w + 100, 0 = 2*w - 3*l + 60. Let j be ((-4)/w*3)/1. Find b, given that -1/2*b**5 - j*b + 2*b**4 + 2*b**2 - 3*b**3 + 0 = 0.
0, 1
Factor -2/15*f**3 - 16/15 + 8/15*f + 4/15*f**2.
-2*(f - 2)**2*(f + 2)/15
Let c(r) be the second derivative of -r**6/360 - r**5/60 - r**4/24 + 2*r**3/3 - 5*r. Let q(o) be the second derivative of c(o). Determine b so that q(b) = 0.
-1
Let n(z) be the third derivative of -1/24*z**3 + 1/1344*z**8 + 0*z + 1/120*z**5 - 1/240*z**6 + 3*z**2 + 1/96*z**4 - 1/840*z**7 + 0. Factor n(y).
(y - 1)**3*(y + 1)**2/4
Let m(w) be the second derivative of -2*w**6/15 + w**4/4 + w**3/6 + 9*w. Factor m(l).
-l*(l - 1)*(2*l + 1)**2
Suppose m + 1 + 0 = 0. Let u be 4*4/16 + m. Solve 0 + u*r + 0*r**2 + 1/2*r**3 = 0 for r.
0
Let v(a) be the second derivative of 7*a**5/180 + a**4/8 + a**3/9 + 3*a**2 + 8*a. Let d(o) be the first derivative of v(o). Factor d(c).
(c + 1)*(7*c + 2)/3
Let q = 18 - 16. Factor 10/3*w + 2/3*w**3 + 4/3 + 8/3*w**q.
2*(w + 1)**2*(w + 2)/3
Let z(m) = 4*m**2 + 9*m - 13. Let o(l) = -6*l**2 - 14*l + 20. Let h = -2 - 6. Let n(k) = h*z(k) - 5*o(k). Factor n(i).
-2*(i - 1)*(i + 2)
Let c be 1*-3*(-8)/12. Suppose -5*l = -2*q - 35, q + c*q = -5*l + 10. Solve 0*p**4 + 1/4*p**l + 0 + 0*p + 0*p**2 - 1/4*p**3 = 0.
-1, 0, 1
Factor 0 - 2/9*p - 2/9*p**3 - 4/9*p**2.
-2*p*(p + 1)**2/9
Let v(q) be the second derivative of -q**4/108 - 2*q**3/27 - 2*q**2/9 - 5*q. Factor v(c).
-(c + 2)**2/9
Factor -16*x**3 - 22*x**2 + 4*x**5 + 12*x + 0*x**5 + 14*x**2 + 8.
4*(x - 2)*(x - 1)*(x + 1)**3
Solve 6*k**2 + 2*k**5 - 12*k**2 + 3*k + 6*k**4 - 5*k**5 = 0.
-1, 0, 1
Let u be (-2)/4 - (-7)/2. Suppose -y = -u*y. Determine s, given that y + 1/3*s - 1/3*s**3 + 0*s**2 = 0.
-1, 0, 1
Let s(f) be the first derivative of -5*f**4/4 + 5*f**3/3 + 15*f**2 + 11. Suppose s(h) = 0. What is h?
-2, 0, 3
Let b(i) be the first derivative of -i**5/150 - 5*i**2/2 + 3. Let x(m) be the second derivative of b(m). Factor x(d).
-2*d**2/5
Let b be (-14)/8 - 2/(-1). Let l = -111/4 - -28. Factor b + l*p**2 - 1/2*p.
(p - 1)**2/4
Let d(m) be the first derivative of -5*m**6/6 - 2*m**5 + 10*m**3/3 + 5*m**2/2 + 28. Factor d(j).
-5*j*(j - 1)*(j + 1)**3
Let p(r) be the second derivative of -1/84*r**7 + 4*r - 5/12*r**3 + 5/12*r**4 + 1/4*r**2 + 1/12*r**6 + 0 - 1/4*r**5. Factor p(u).
-(u - 1)**5/2
Let r(h) be the first derivative of 4*h**3/27 + 8*h**2/9 + 4*h/3 + 7. Factor r(i).
4*(i + 1)*(i + 3)/9
Factor -i**2 + 20 + 5 - 13 - 2*i**2.
-3*(i - 2)*(i + 2)
Let c be (0*3/(-3))/1. Suppose -3*m + 9 = -c. Factor 0 + 2/3*s**m - 2/3*s**5 + 0*s + 0*s**4 + 0*s**2.
-2*s**3*(s - 1)*(s + 1)/3
Let m(l) = l**4 - 5*l**3 + 11*l**2 - 5*l. Let t(z) = -2*z**4 + 10*z**3 - 23*z**2 + 9*z + 1. Let w(i) = -5*m(i) - 2*t(i). Factor w(q).
-(q - 2)*(q - 1)**3
Suppose 0 = 2*p - 2*n - 18, -4*p - 3*n = -8 - 7. Factor -i**2 - i**2 - i**2 + p*i**2 - 6*i.
3*i*(i - 2)
Let y be 3/15*10/8*1. Determine w, given that 5/4*w + 1/2 + w**2 + y*w**3 = 0.
-2, -1
Let f(q) = q**3 - 38*q**2 + 29*q - 7. Let a(m) = m**3 - 18*m**2 + 15*m - 4. Let v(y) = 5*a(y) - 2*f(y). Factor v(n).
(n - 3)*(n - 1)*(3*n - 2)
Let p(a) be the second derivative of 2*a**7/21 + 8*a**6/15 + 6*a**5/5 + 4*a**4/3 + 2*a**3/3 - 4*a. Let p(m) = 0. What is m?
-1, 0
Let o(s) be the second derivative of -s**7/21 + s**6/15 + s**5/10 - s**4/6 + 2*s. Factor o(t).
-2*t**2*(t - 1)**2*(t + 1)
Let a(l) be the second derivative of l**4/42 - l**3/21 + l. Find n, given that a(n) = 0.
0, 1
Suppose c = 6*c. Suppose t - 1 = c, 3*g + 2*g = -4*t