*6. Factor o(t).
-2*(t + 1)**3/5
Factor 4*d**2 + 15 + 2*d**2 - 5*d**2 - 42*d - 10*d**2.
-3*(d + 5)*(3*d - 1)
Let x(w) = -w**2 + 6*w + 9. Let a be x(7). What is n in -n + 5*n**3 + 2*n - 2*n**3 - 5*n + 4*n**a = 0?
-2, 0, 2/3
Let 131*j**4 - 563*j**4 + 368*j + 328*j**2 - 118*j**3 - 134*j**3 + 96 - 108*j**5 = 0. What is j?
-3, -2/3, 1
Let y(g) = -8*g + 2*g + 5*g. Let a(i) = 2*i**2. Let o(z) = -a(z) - 2*y(z). Find x, given that o(x) = 0.
0, 1
Suppose j - 3 = 2*j. Let i be 7/3 - (-1)/j. Suppose 2 + 4 - z**i - 4 - z = 0. What is z?
-2, 1
Let z(h) be the third derivative of -h**7/8820 - h**6/1260 - h**5/420 - h**4/8 + h**2. Let p(a) be the second derivative of z(a). Factor p(o).
-2*(o + 1)**2/7
Let m be 22/176 - (-30)/16. Factor 1 - 4*z**m - 11*z**3 + 3/2*z - 9*z**4 - 5/2*z**5.
-(z + 1)**4*(5*z - 2)/2
Suppose -27 + 4 = -w. Let 2*h - 20*h - 7*h**2 - 22*h**3 - 6*h**4 - w*h**2 - 4 = 0. Calculate h.
-1, -2/3
Factor -5*v**2 + 0 - 15/2*v**3 - 5/2*v**4 + 0*v.
-5*v**2*(v + 1)*(v + 2)/2
Suppose -4*i + 10 = i. Factor -4 - 5*l**2 + 6*l + 5*l**2 - i*l**2.
-2*(l - 2)*(l - 1)
Suppose -2*j - 16 = 2*j, 0 = -3*f + 3*j + 24. Let x be (-3)/((-4)/2 + 1). Let 2*g**4 - g**x - g**5 - 2*g**4 - 2*g**f = 0. Calculate g.
-1, 0
Solve 5*p - 11*p - 2*p**2 - 4 - 2 + 2 = 0.
-2, -1
Find l such that 16/7*l**2 + 2/7*l**3 - 2/7*l - 16/7 = 0.
-8, -1, 1
Let a be 6 + -5 - (-2 - -3). Suppose a = u - 4*u. Factor 2/7*f**3 + u*f + 0*f**2 + 0 + 2/7*f**5 + 4/7*f**4.
2*f**3*(f + 1)**2/7
Let b(z) be the third derivative of -4*z**2 + 0*z - 1/40*z**5 - 1/240*z**6 - 1/16*z**4 + 0 - 2/3*z**3. Let k(u) be the first derivative of b(u). Factor k(r).
-3*(r + 1)**2/2
Let f be (-2 - -9) + (-125)/25. Factor 2/7*r + 4/7 - 2/7*r**f.
-2*(r - 2)*(r + 1)/7
Let i(m) be the third derivative of -m**8/3192 + m**6/570 - m**4/228 - 3*m**2. Suppose i(a) = 0. Calculate a.
-1, 0, 1
Let t be ((-31)/62)/(1/9*-1). Solve 3 + 3/2*w**2 + t*w = 0.
-2, -1
Let v = 990 - 984. Factor 3/2*w**4 + 2*w + 0 + 11/2*w**3 + v*w**2.
w*(w + 1)*(w + 2)*(3*w + 2)/2
Let v be (-3)/((-24)/(-20)) + 3. Let c(q) be the first derivative of 2/3*q**3 + v*q**2 + 0*q + 1/4*q**4 + 1. Factor c(i).
i*(i + 1)**2
Let d = -1260806/135 - -9340. Let i = -8/27 + d. Suppose 0 + i*c**3 - 8/5*c**2 + 8/5*c = 0. What is c?
0, 2
Let v be -5 + (-45)/(5/(-1)). Let 3/2*b**v + 0*b**2 + 0 + 0*b - 3/2*b**3 = 0. What is b?
0, 1
Let x(v) be the third derivative of v**7/168 - v**6/48 - v**5/12 + 5*v**4/12 + 28*v**2 - v. Factor x(k).
5*k*(k - 2)**2*(k + 2)/4
Let q(o) be the third derivative of 17*o**5/100 + 9*o**4/10 + 2*o**3/5 + 46*o**2. Factor q(t).
3*(t + 2)*(17*t + 2)/5
Let n be (-52)/(-10) - (-5)/(-25). Let w(i) be the third derivative of 1/40*i**6 + 2*i**2 + 0*i + 0 - 1/20*i**n + 0*i**3 + 1/24*i**4 - 1/210*i**7. Factor w(v).
-v*(v - 1)**3
Let r(g) be the second derivative of g**6/105 + 11*g**5/70 + 15*g**4/14 + 27*g**3/7 + 54*g**2/7 - 3*g. Suppose r(s) = 0. What is s?
-3, -2
Let b be (-182)/(-360) - (-21)/(-42). Let o(f) be the third derivative of -1/315*f**7 + 3*f**2 + b*f**6 + 0*f**3 + 0*f**4 + 0*f + 0*f**5 + 0. Factor o(r).
-2*r**3*(r - 1)/3
Factor -2/9*s**2 - 20/9 - 22/9*s.
-2*(s + 1)*(s + 10)/9
Let v(c) be the third derivative of -c**6/420 - 3*c**5/35 - 11*c**4/28 - 16*c**3/21 - 48*c**2. Determine y so that v(y) = 0.
-16, -1
Let s(o) be the first derivative of o**4/24 - o**3/18 - o**2/12 + o/6 + 6. Factor s(l).
(l - 1)**2*(l + 1)/6
Suppose 2*r - 7*r = 4*j - 25, -3*r = 4*j - 15. Suppose -7*v - 10*v + 85 = 0. Solve j + 4/5*d**4 - 6/5*d**3 - 1/5*d + 4/5*d**2 - 1/5*d**v = 0 for d.
0, 1
Let i(b) be the first derivative of b**3/9 + 4*b**2/9 + 4*b/9 - 18. Find n such that i(n) = 0.
-2, -2/3
Let j(o) be the third derivative of o**5/10 + o**4/6 - o**3/3 + 11*o**2. Factor j(b).
2*(b + 1)*(3*b - 1)
Let b(x) = x**2 - 2*x - 4. Let h be b(4). Determine q so that -7*q**2 - 9*q + 3 - 1 - h = 0.
-1, -2/7
Suppose 0*y - 2*y = -10. Let u = 7 - y. Factor u*g**2 + g - g**2 - g**3 + 2*g - g.
-g*(g - 2)*(g + 1)
Factor 4/7*r**5 + 0 + 0*r + 16/7*r**4 + 20/7*r**3 + 8/7*r**2.
4*r**2*(r + 1)**2*(r + 2)/7
Let x(s) be the second derivative of -s**4/16 - s**3/2 - 3*s**2/2 - 6*s. Solve x(q) = 0.
-2
Let r(f) = -f + 2. Let y be r(0). Let k be y - -4*(-2)/4. Suppose -3/2*u**2 - u + k + 1/2*u**4 + 0*u**3 = 0. Calculate u.
-1, 0, 2
Let c(k) be the second derivative of k**4/6 + 8*k**3/3 + 16*k**2 - 8*k. Find t such that c(t) = 0.
-4
Let g(k) be the first derivative of k**5/10 - 5*k**4/16 - k**3/4 + k**2 + k - 5. Find j, given that g(j) = 0.
-1, -1/2, 2
Let x(s) = -5*s**3 + 55*s**2 + 60*s + 2. Let z(q) = -35*q**3 + 385*q**2 + 420*q + 15. Let l(v) = -15*x(v) + 2*z(v). Solve l(p) = 0 for p.
-1, 0, 12
Let b(t) be the third derivative of 0*t**7 + 0*t**5 - 1/240*t**6 + 1/96*t**4 + 0 + 0*t + t**2 + 1/1344*t**8 + 0*t**3. Factor b(h).
h*(h - 1)**2*(h + 1)**2/4
Let t(y) be the first derivative of 1/12*y**6 - 1/10*y**5 + 1/6*y**3 - 1/8*y**4 + 0*y**2 + 2 + 0*y. Determine i, given that t(i) = 0.
-1, 0, 1
Let l(y) = -y + 10. Let f be l(-8). Suppose -3*t = 4*j - 38, -4*j + 5*j = -5*t + f. Let 7 - 3*n - n**2 - 2*n**2 - n**3 - j = 0. Calculate n.
-1
Let d be 6 - (1 + 1 - 0). Let q(z) = -3*z**2 + 2*z - 1. Let n(w) = -16*w**2 + 11*w - 6. Let h(j) = d*n(j) - 22*q(j). Factor h(v).
2*(v - 1)*(v + 1)
Let u(w) = -1 + 4 - 16*w + 10*w + 2*w**2 + 7*w**2. Let s(r) = -r**2 + r - 1. Let t(l) = -6*s(l) - u(l). What is b in t(b) = 0?
-1, 1
Factor 4*u**4 + 4 - 24*u**2 - 16*u**4 - 20*u**3 - 12*u**3.
-4*(u + 1)**3*(3*u - 1)
Let d(b) be the first derivative of 5/6*b**6 - b - 9/10*b**5 - 2 + 11/6*b**3 + 3/4*b**2 - 13/8*b**4. Let d(p) = 0. What is p?
-1, -1/2, 2/5, 1
Let t(i) be the second derivative of -i**5/70 + i**3/21 - 6*i. Factor t(q).
-2*q*(q - 1)*(q + 1)/7
Suppose 0 = -2*c + 51 + 73. Let a = c - 247/4. Find l, given that a + 1/4*l**2 - 1/2*l = 0.
1
Find t such that -105 + 155 + 4*t**3 + 15*t - 30*t**2 + t**3 = 0.
-1, 2, 5
Let y(u) = u - 16. Let f be y(18). Let 1/2*d**f + 3/2*d**3 - 1 - 3/2*d + 1/2*d**4 = 0. What is d?
-2, -1, 1
Suppose -1 = -k - 4. Let l = k - -6. Suppose 3*o**l - 1/3*o + 0 + 1/3*o**2 + 4/3*o**5 + 11/3*o**4 = 0. Calculate o.
-1, 0, 1/4
Let n(t) be the first derivative of -t**4/16 - t**3/3 + 26. Find y, given that n(y) = 0.
-4, 0
Let w be 1*(20/(-8))/((-7)/14). Factor -3/4*q**w + 0*q**3 + 3/2*q**2 + 3/4*q + 0 - 3/2*q**4.
-3*q*(q - 1)*(q + 1)**3/4
Let c = 19 + -2. Suppose z - l = 2*l + 11, -c = -4*z + 3*l. Solve 3*m**z + 22*m**4 + m**2 + 26*m**3 + 18*m**4 = 0 for m.
-2/5, -1/4, 0
Let w = 15 - 13. Let c(s) be the third derivative of 1/90*s**5 + 1/12*s**4 + 0*s + 0 - w*s**2 + 2/9*s**3. Factor c(x).
2*(x + 1)*(x + 2)/3
Let t(k) be the second derivative of 3*k**5/20 + k**4 + 2*k**3 - 36*k. What is v in t(v) = 0?
-2, 0
Let z be (6*(-4)/(-32))/90. Let b(v) be the third derivative of -1/12*v**3 + z*v**5 - 1/96*v**4 + 3*v**2 + 0*v + 0 + 1/480*v**6. Factor b(t).
(t - 1)*(t + 1)*(t + 2)/4
Let n be ((-30)/4 - (-4)/(-8))/(-2). Factor -1/3 - 2/3*l**2 - 1/3*l**5 - 2/3*l**3 + l + l**n.
-(l - 1)**4*(l + 1)/3
Let q(p) be the second derivative of 1/294*p**7 + 0*p**3 - 1/210*p**6 + 0*p**2 + 2*p + 1/84*p**4 - 1/140*p**5 + 0. Factor q(h).
h**2*(h - 1)**2*(h + 1)/7
Let n be (-4)/14 - (-100)/56. Let b be (-2 - -1)*(-3)/6. Let 1/2*c**5 - c + 0 - n*c**3 - 5/2*c**2 + b*c**4 = 0. What is c?
-1, 0, 2
Let x be 6 - (4 - (-4 + 4)). Factor 1 - x*k**2 - 2*k + 1 + 2 + 0.
-2*(k - 1)*(k + 2)
Let s(q) = 4*q - 20. Let d be s(5). Let k(b) be the second derivative of -2/15*b**3 + d + b - 1/60*b**4 - 2/5*b**2. Factor k(g).
-(g + 2)**2/5
Let v(y) = -y**3 - 2*y**2 + 1. Let g be v(-1). Factor g*l**3 + l**3 + l**3 + 4*l - 8*l**2 + 2*l**2.
2*l*(l - 2)*(l - 1)
Let b(f) be the third derivative of 0*f**4 + 1/39*f**3 - 1/390*f**5 + 0*f + 0 - f**2. Factor b(g).
-2*(g - 1)*(g + 1)/13
Let p(z) be the first derivative of 0*z**5 + 0*z**4 - 2 + 1/84*z**7 + 1/60*z**6 + 0*z**2 + 3*z + 0*z**3. Let a(g) be the first derivative of p(g). Factor a(y).
y**4*(y + 1)/2
Let h(p) = -17*p**3 + 17*p**2 + 9*p. Let z be 1 + (0 - -20)/(-2). Let w(a) = 4*a**3 - 4*a**2 - 2*a. Let r(s) = z*w(s) - 2*h(s). Factor r(y).
-2*y**2*(y - 1)
Let k(f) be the second derivative of 0 + 1/48*f**4 + 1/2*f**2 + 1/6*f**3 - 1/120*f**5 + f. Let g(p) be the first derivative of k(p). Factor g(a).
-(a - 2)*(a + 1)