 4. Solve p(o) = 0 for o.
-1, -2/5, 0
Let c(a) be the third derivative of a**8/560 - 2*a**7/175 + 3*a**6/100 - a**5/25 + a**4/40 + 33*a**2. Factor c(g).
3*g*(g - 1)**4/5
Factor 0*l - 5/6*l**2 + 5/6*l**3 + 0.
5*l**2*(l - 1)/6
Let t(p) be the third derivative of p**5/30 - p**4/3 + 4*p**3/3 + 17*p**2. Factor t(i).
2*(i - 2)**2
Suppose 0 = 9*r - 5*r. Factor 0*l**2 + 0 + r*l - 2/7*l**3.
-2*l**3/7
Let i be (-334)/8 + (-16)/64. Let u be (1 - (-45)/i)*-4. Suppose 12/7*t**5 + 2*t**3 - u*t**2 - 2/7*t + 26/7*t**4 + 0 = 0. Calculate t.
-1, -1/2, 0, 1/3
Suppose 0 = 2*f - 3 + 7. Let a be 4/f - (-6 + -1). Factor 6*j**2 + a*j**2 - 5*j**2 - 2*j.
2*j*(3*j - 1)
Factor 0 + 5/4*b**3 + 0*b - 1/2*b**2 + 7/4*b**4.
b**2*(b + 1)*(7*b - 2)/4
Let t(p) be the third derivative of -p**6/30 - p**5/5 - p**4/2 - 2*p**3/3 - 4*p**2. Factor t(m).
-4*(m + 1)**3
Let i(d) be the second derivative of -d**8/8400 + d**6/1800 - d**3/3 + 3*d. Let s(p) be the second derivative of i(p). Factor s(o).
-o**2*(o - 1)*(o + 1)/5
Let a be (-5 - -10) + -3 + 1. Find s such that 2*s - 2*s - s**3 - 2*s**4 - s**a = 0.
-1, 0
Let o = 1040/1569 + 2/523. Let -o*q**3 + 2/3 + 2/3*q - 2/3*q**2 = 0. Calculate q.
-1, 1
Let -5*h**3 - 10*h**4 + 2*h**4 - 4*h + 9*h + 3*h**4 + 5*h**2 = 0. Calculate h.
-1, 0, 1
Let j = 605 + -602. Find s such that 0 + 2/5*s + 0*s**2 - 2/5*s**j = 0.
-1, 0, 1
Factor 145 - 145 + 2*g**2 - 2*g.
2*g*(g - 1)
Let a(j) be the second derivative of 0*j**2 + 1/60*j**4 - 1/15*j**3 - 1/150*j**6 + j + 1/50*j**5 + 0. Suppose a(f) = 0. What is f?
-1, 0, 1, 2
Let s(c) be the first derivative of 0*c - 1/18*c**6 - 1/6*c**2 + 1/6*c**4 + 0*c**5 + 0*c**3 - 2. Factor s(u).
-u*(u - 1)**2*(u + 1)**2/3
Find c, given that -283*c - 3*c**3 + 21*c - 193*c**2 + 243 - 35*c + 250*c**2 = 0.
1, 9
Let p(j) = -7*j**2 - 12*j - 23. Let t(l) = -4*l**2 - 6*l - 12. Let k(r) = -6*p(r) + 10*t(r). Factor k(m).
2*(m + 3)**2
Let c(s) be the second derivative of 1/9*s**4 + 0*s**3 - 1/45*s**6 + 0*s**5 - 1/3*s**2 + 2*s + 0. Factor c(a).
-2*(a - 1)**2*(a + 1)**2/3
Determine b, given that 0 + 2/5*b**2 + 4/5*b = 0.
-2, 0
Let s(t) be the second derivative of t**6/60 - 3*t**5/20 + t**4/3 + t**3/2 - 9*t**2/4 + 13*t. Factor s(r).
(r - 3)**2*(r - 1)*(r + 1)/2
Let b(r) be the first derivative of 5 - 2*r - 3/2*r**2 - 1/3*r**3. Find d, given that b(d) = 0.
-2, -1
Let y = 858/5 + -171. Let k(z) be the second derivative of 0 - 1/6*z**3 + 4/15*z**6 - 5/8*z**4 - y*z**5 + 3*z + 0*z**2. Find m, given that k(m) = 0.
-1/4, 0, 2
Suppose -4*t - 2*o + 108 = -114, -2*o - 58 = -t. Let j be 30/t + 4/(-14). Solve 1/2*n - j - 1/4*n**2 = 0.
1
Factor -5/3*z**3 + 5/3*z**2 - 1/6*z**5 - 5/6*z + 1/6 + 5/6*z**4.
-(z - 1)**5/6
Let q(a) = -a**3 + 8*a**2 + 5*a - 40. Let z be q(8). Let 2/5*l + z + 2/5*l**2 = 0. Calculate l.
-1, 0
Suppose -17 = -5*f - 2. Determine d so that -4*d + 5 - 4*d**2 - d**2 + f*d**3 - 1 = 0.
-1, 2/3, 2
Let r(c) be the third derivative of -c**8/2240 + c**7/420 - c**6/180 - c**5/20 - c**2. Let f(j) be the third derivative of r(j). Factor f(v).
-(3*v - 2)**2
Let v = -801 + 804. Factor 9/2*t**v + 27/2*t - 15*t**2 - 3.
3*(t - 2)*(t - 1)*(3*t - 1)/2
Let n(p) = 37*p**3 - 90*p**2 + 35*p - 8. Let v(g) = 19*g**3 - 45*g**2 + 18*g - 4. Let d be ((-1)/3)/((-1)/18). Let h(i) = d*n(i) - 13*v(i). Factor h(t).
-(t - 1)*(5*t - 2)**2
Let g = 2 + 2. Suppose -3*c + 5*b + 5 = 2*c, 4*b - 4 = 0. Factor 0 - 1/5*x**g - 1/5*x**3 + 1/5*x**c + 1/5*x.
-x*(x - 1)*(x + 1)**2/5
Suppose 3*g**4 - 6*g + 5*g**5 - 9*g**3 + 15*g**2 - 6*g**4 - 2*g**5 = 0. What is g?
-2, 0, 1
Let a = 1636 + -785279/480. Let r(u) be the third derivative of 0*u + a*u**6 - 5/96*u**4 + 1/840*u**7 + 0 + u**2 - 1/12*u**3 - 1/80*u**5. What is x in r(x) = 0?
-1, 2
Factor 0*f + 5/4*f**4 + 5*f**2 + 0 + 5*f**3.
5*f**2*(f + 2)**2/4
Let 32/5*l**4 - 4/5 + 34/5*l - 78/5*l**2 + 16/5*l**3 = 0. Calculate l.
-2, 1/4, 1
Let v(b) be the second derivative of 1/3*b**6 + 0 - 5/6*b**4 + 9/10*b**5 - 2/3*b**3 + b - 1/3*b**7 + 0*b**2. Solve v(m) = 0 for m.
-1, -2/7, 0, 1
Factor -16*o - 16*o**3 + 4*o**4 + 11*o**3 + 24*o**2 + 4 - 11*o**3.
4*(o - 1)**4
Let f(q) be the second derivative of 7*q**5/4 + 25*q**4/12 - 40*q**3/3 + 10*q**2 + 10*q. Suppose f(u) = 0. Calculate u.
-2, 2/7, 1
Let l(c) be the first derivative of 1/11*c**6 - 4/55*c**5 + 0*c + 4/33*c**3 + 2 + 1/11*c**2 - 2/11*c**4. Solve l(j) = 0 for j.
-1, -1/3, 0, 1
Let g(p) be the third derivative of -2/75*p**5 - p**2 + 0 + 0*p + 1/20*p**4 + 1/15*p**3. Let g(z) = 0. What is z?
-1/4, 1
Let t = 3 - -1. Let h be (t/70)/(2/20). Factor 2/7*w**2 + h + 6/7*w.
2*(w + 1)*(w + 2)/7
Factor -14*z**3 + 10 - 40*z + 10 - 2*z**4 + 4*z**4 - 4 + 36*z**2.
2*(z - 2)**3*(z - 1)
Let w be (-3 + 16/6)*3. Let d be -2*((-18)/15 - w). Determine n so that 2/5*n**2 - 2/5*n + 0 + d*n**3 - 2/5*n**4 = 0.
-1, 0, 1
Let d(a) be the second derivative of 3*a + 0 - 1/21*a**3 + 0*a**2 + 1/42*a**4. Factor d(k).
2*k*(k - 1)/7
Suppose -b + 2*p = 2*b - 12, -b - 3*p = -4. Let i be (11/(-11))/(b/(-7)). Suppose -i*m**3 - 5/4*m**4 + 7/4*m + 3/4*m**2 + 1/2 = 0. Calculate m.
-1, -2/5, 1
Let z(q) be the second derivative of q**4/3 + 16*q**3/3 + 32*q**2 - 6*q. Factor z(u).
4*(u + 4)**2
Let g be 6/1 - (3 - 3 - -3). Find m such that 2/3*m**4 - 4/3*m**g + 0 + 0*m**2 + 2/3*m**5 + 0*m = 0.
-2, 0, 1
Let b(c) be the third derivative of 1/150*c**5 + 0*c - 2/15*c**3 + 1/525*c**7 + 0 + 1/20*c**4 + 4*c**2 - 1/100*c**6. Suppose b(s) = 0. Calculate s.
-1, 1, 2
Let h(a) be the second derivative of 0 + 1/252*a**7 - 1/36*a**4 - 5*a + 1/60*a**5 - 1/12*a**3 - 1/12*a**2 + 1/60*a**6. Factor h(m).
(m - 1)*(m + 1)**4/6
Let w(j) be the third derivative of -7*j**6/480 - j**5/120 + 7*j**4/96 + j**3/12 - 3*j**2. Factor w(r).
-(r - 1)*(r + 1)*(7*r + 2)/4
Let q be (-4)/(-18) - (-2032)/(-72). Let d be (-27)/21*49/q. Factor 3/2*p - 1/4*p**2 - d.
-(p - 3)**2/4
Suppose -4*m = -5*k - 18, k - 8*m + 4*m - 6 = 0. Let u be (-22)/k - (3 + 0). Determine d so that -u*d**3 - 2/3*d - 4/3*d**2 + 0 = 0.
-1, 0
Let v(p) be the first derivative of 2*p**5/25 + 2*p**4/5 + 4*p**3/5 + 4*p**2/5 + 2*p/5 - 8. Suppose v(y) = 0. Calculate y.
-1
Suppose -2/7*r**3 - 4/7*r**2 + 4/7 + 2/7*r = 0. What is r?
-2, -1, 1
Let j(v) be the second derivative of 5*v**4/66 - 13*v**3/33 - 6*v**2/11 - 8*v. Factor j(s).
2*(s - 3)*(5*s + 2)/11
Let m be 1/4 + 14/72. Let f = 4841/9 - 537. Solve 0 - m*w - f*w**3 + 10/9*w**2 + 2/9*w**4 = 0.
0, 1, 2
Let m(q) be the first derivative of 2 + 4 - 5 + 3*q**3 - 6*q**2 - 12*q + 4. Determine o so that m(o) = 0.
-2/3, 2
Let l(c) = c**3 - c**2 + 1. Let i(x) = 3*x**3 - 21*x**2 + 16*x + 8. Let b(p) = -i(p) - 4*l(p). Find w such that b(w) = 0.
-3/7, 2
Let r(z) be the first derivative of z**6/300 - z**5/150 - z**4/30 - 3*z**2 - 6. Let l(g) be the second derivative of r(g). What is t in l(t) = 0?
-1, 0, 2
Let x(w) be the first derivative of -3*w**3 + 3*w**4 - 2*w**5 - 3 + w**5 - 3*w**2 + 4*w**2. Factor x(d).
-d*(d - 1)**2*(5*d - 2)
Suppose -10*a = -23*a. Solve -4/3*i**3 + 2/3*i**2 + 2/3*i**4 + 0 + a*i = 0 for i.
0, 1
Let t(d) be the first derivative of -3*d + 3 - 1/100*d**5 + 1/60*d**4 + 1/30*d**3 - 1/10*d**2. Let n(r) be the first derivative of t(r). Factor n(g).
-(g - 1)**2*(g + 1)/5
Let g(y) be the third derivative of y**6/420 + 2*y**5/105 + y**4/28 + 29*y**2. Factor g(l).
2*l*(l + 1)*(l + 3)/7
Let u(x) = -5*x**3 + 46*x**2 + 4. Let d(q) = 15*q**3 - 139*q**2 - 11. Let n(j) = 4*d(j) + 11*u(j). Factor n(h).
5*h**2*(h - 10)
Let s(c) be the second derivative of 3*c**5/20 - c**4/2 + c**3/2 - c. Determine i so that s(i) = 0.
0, 1
Factor 7*y**4 + 1 - 9*y**4 + 10*y - 2*y**3 + 3 + 0*y**3 + 6*y**2.
-2*(y - 2)*(y + 1)**3
Let t be 3/(3/2 - 0). Suppose -2*s**2 + s**2 + t - s + 0 = 0. What is s?
-2, 1
Let k(v) = 5*v**2 + 5*v + 2. Let p be (-4)/6 + (-26)/6. Let g(z) = -6*z**2 - 6*z - 3. Let h(f) = p*k(f) - 4*g(f). Factor h(c).
-(c - 1)*(c + 2)
Let h(t) = t**5 + t**2 - 1. Let c(n) = 3*n**5 + n**4 + 4*n**2 - 4. Let s be (-3)/(-6)*-1*2. Let y(l) = s*c(l) + 4*h(l). Solve y(z) = 0.
0, 1
Let n be ((-2)/(-4))/(4/(-56)). Let i(p) = p + 11. Let m be i(n). Factor 4*t - 6*t**4 + 3*t**2 + 3*t**m - 4*t.
-3*t**2*(t - 1)*(t + 1)
Let 0 + 6 + 2*n**2 - 24*n**3 + 10*n - 21*n**3 + 43*n**3 = 0. Calculate n.
-1, 3
Let d(u) be the third derivative of -u**7/735 - 3*u**6/140 - u**5/10 - 19*u**4/84 - 2*u*