 Solve -8/3*r**5 - 2/3 + 4*r + 6*r**4 - d*r**2 - 4/3*r**3 = 0 for r.
-1, 1/4, 1
Let z(t) = t**3 + 6*t**2 + 5*t + 2. Let l be z(-5). Suppose -1 + 6*g**2 - 2*g**l - 4*g**2 + g**2 = 0. Calculate g.
-1, 1
Let c(m) be the second derivative of 2*m**7/21 - 4*m**5/5 + 2*m**4/3 + 2*m**3 - 4*m**2 - m - 4. What is r in c(r) = 0?
-2, -1, 1
Let b be ((-1)/(-3))/((-4)/(-156)). Let w = -38/3 + b. Determine p so that -4/3*p**4 + w + 4/3*p**3 - 4/3*p + p**2 = 0.
-1, 1/2, 1
Let w be (-24)/(-40) - (-6)/(-10). Factor w - 1/2*c - 1/2*c**2.
-c*(c + 1)/2
Let m(o) be the second derivative of 5*o**4/36 + 5*o**3/3 + 15*o**2/2 - 36*o. Solve m(h) = 0 for h.
-3
Let i(w) be the second derivative of -w**4/54 + w**2/9 + 2*w. What is c in i(c) = 0?
-1, 1
Factor -1/3*x**2 + 2/3*x + 1/3*x**4 + 0 - 2/3*x**3.
x*(x - 2)*(x - 1)*(x + 1)/3
Let i(c) = 5*c**3 - 3*c**2 + c - 3. Let k(w) = -9*w**3 + 5*w**2 - w + 5. Let y(j) = 5*i(j) + 3*k(j). Factor y(z).
-2*z*(z - 1)*(z + 1)
Let d(i) = -3*i + 1. Let m be d(-1). Let w be (m/14)/((-3)/(-28)). Determine u so that w*u - 1/3 - 5*u**2 = 0.
1/5, 1/3
Suppose -k**3 - 2*k**3 + 7*k**3 = 0. What is k?
0
Let i(m) be the first derivative of m**4/12 + m**3/9 - m**2/6 - m/3 + 4. Factor i(o).
(o - 1)*(o + 1)**2/3
Let q(i) = 5*i**3 + 3*i. Let d(m) = 4*m**3 + 2*m. Let t(c) = 4*d(c) - 3*q(c). Factor t(u).
u*(u - 1)*(u + 1)
Suppose 4*k - 6 + 2 = 4*r, -2*r - 2 = 0. Factor -1/2*n**4 + 1/2*n**2 + 0 + 0*n**3 + k*n.
-n**2*(n - 1)*(n + 1)/2
Let a(h) be the first derivative of -4*h**5/15 - 5*h**4/3 - 8*h**3/3 + 8*h**2/3 + 32*h/3 - 19. Factor a(t).
-4*(t - 1)*(t + 2)**3/3
Let g(m) be the second derivative of -1/42*m**4 + 0 - 2*m + 0*m**2 + 0*m**3 - 1/70*m**5. Suppose g(t) = 0. Calculate t.
-1, 0
Let w = 63 - 63. Let -2/5*i**2 + 0*i + w + 2/5*i**3 = 0. What is i?
0, 1
Determine f so that 0 - 1/2*f**3 + 1/6*f - 1/3*f**2 = 0.
-1, 0, 1/3
Let l(q) = q - 2*q + 0*q - 1. Let y be l(-6). Find d, given that -d**3 - y*d**2 + d**5 + 0*d**3 - 3*d**4 + 4*d**4 + 4*d**2 = 0.
-1, 0, 1
Let z(d) be the second derivative of -d**6/40 + 9*d**5/80 - 3*d**4/16 + d**3/8 - 14*d. Find b, given that z(b) = 0.
0, 1
Let j = 567/85 - 110/17. Factor -j*f**2 - 2/5*f - 1/5.
-(f + 1)**2/5
Let v(n) be the first derivative of -n**4/16 - n**3/2 + 15*n**2/8 - 2*n - 5. Let v(i) = 0. Calculate i.
-8, 1
Factor -8/9*q - 2/9*q**4 - 8/9*q**3 - 2/9 - 4/3*q**2.
-2*(q + 1)**4/9
Let k(a) = a**3 - a**2 - 3*a - 4. Let g be k(3). Let i = g - 3. Factor 2/3*d**3 + 2/3 - 2/3*d**i - 2/3*d.
2*(d - 1)**2*(d + 1)/3
Let 2/3*q**2 + 216 - 24*q = 0. Calculate q.
18
Determine i, given that 7/10*i - 39/10*i**2 + 1/2*i**4 + 1 + 17/10*i**3 = 0.
-5, -2/5, 1
Let s be (-24)/(-63)*18/24. Determine q, given that -s*q + 0 + 2/7*q**2 = 0.
0, 1
Let m be (-4)/(-10) + (-10)/25. Factor m*b + 3/5*b**2 + 0.
3*b**2/5
Let u be (282/(-72) - -4)*2. Factor 1/2*j + 0 + u*j**2.
j*(j + 3)/6
Let r(q) be the third derivative of 2/45*q**6 + 0*q + 0 + 1/15*q**5 + 0*q**3 + 4*q**2 + 1/36*q**4. Factor r(o).
2*o*(2*o + 1)*(4*o + 1)/3
Let y be (-2)/3 - (352/(-30))/8. Suppose y*w**2 - 2/5*w**3 - 2/5*w + 0 = 0. Calculate w.
0, 1
Let s(u) = u**2 - u - 7. Let d be s(6). Factor 1 - z**2 + d + 9*z**3 + 7*z**2 - 3*z**4 + 19*z - 55*z.
-3*(z - 2)**2*(z - 1)*(z + 2)
Let t be ((-128)/20)/(-2) - (3 - 0). Let 1/5*a - t*a**2 + 0 = 0. What is a?
0, 1
Let l(g) be the first derivative of -g**9/21168 + g**8/5880 - g**7/5880 - 4*g**3/3 + 7. Let s(o) be the third derivative of l(o). Factor s(x).
-x**3*(x - 1)**2/7
Let p(u) = -3*u**4 + 27*u**3 - 35*u**2 + 16*u + 5. Let v(n) = -4*n**4 + 40*n**3 - 52*n**2 + 24*n + 8. Let i(a) = -8*p(a) + 5*v(a). Factor i(d).
4*d*(d - 2)*(d - 1)**2
Find t, given that 72/5*t - 48/5 - 27/5*t**2 + 3/5*t**3 = 0.
1, 4
Let m(y) be the third derivative of -y**8/280 - y**7/84 - y**6/180 + y**5/60 - y**3/6 + y**2. Let z(x) be the first derivative of m(x). What is f in z(f) = 0?
-1, 0, 1/3
Let q(d) be the first derivative of -25*d**6/9 + 14*d**5/3 - 11*d**4/6 + 2*d**3/9 + 12. Factor q(t).
-2*t**2*(t - 1)*(5*t - 1)**2/3
Let y(j) be the first derivative of j**6/48 + j**5/20 + j**4/32 - 8. Factor y(l).
l**3*(l + 1)**2/8
Let p be -1*5*(-75)/750. Factor -p*b - 1/4*b**2 - 1/4.
-(b + 1)**2/4
Let z(j) be the first derivative of 5*j**6/6 - j**5 - 38. Factor z(p).
5*p**4*(p - 1)
Solve 98/5*i**4 - 56/5*i**3 - 18*i**2 - 8/5 + 56/5*i = 0 for i.
-1, 2/7, 1
Let l be 4/(-14) + 928/896. Let -3/4*u**3 - 3/4 + 3/4*u**2 + l*u = 0. What is u?
-1, 1
Let x(l) = 15*l**3 + 23*l**2 - 38*l. Let d(n) = -5*n**3 - 8*n**2 + 13*n. Let w(z) = 8*d(z) + 3*x(z). Factor w(i).
5*i*(i - 1)*(i + 2)
Let k(d) = d**3 - 3*d**2 + 6*d + 2. Let p(r) = r + 4*r**2 - 2*r - 4*r - 3 - r**3 - 2*r. Let v(z) = -7*k(z) - 6*p(z). Factor v(h).
-(h - 1)*(h + 2)**2
Let f(l) = -7*l**2 + 13*l + 2. Let k(q) = q - 2. Let z(r) = -3*f(r) - 12*k(r). Let z(m) = 0. What is m?
3/7, 2
What is d in 0*d - 6/5*d**3 + 2/5*d**5 + 0 - 4/5*d**4 + 0*d**2 = 0?
-1, 0, 3
Let o(p) be the third derivative of p**7/105 + p**6/36 + 7*p**5/270 + p**4/108 + 19*p**2. Determine l so that o(l) = 0.
-1, -1/3, 0
Let f(b) = -3*b**4 + 7*b**3 - 3*b**2 - b + 2. Let z(q) = -18*q**4 + 42*q**3 - 17*q**2 - 7*q + 13. Let k(g) = -39*f(g) + 6*z(g). Factor k(d).
3*d*(d - 1)**2*(3*d - 1)
Determine g so that -26/11*g**2 + 10/11*g**3 + 8/11 + 8/11*g = 0.
-2/5, 1, 2
Let i(d) be the second derivative of 1/6*d**4 + 8*d + 0 + 1/20*d**5 + 0*d**2 + 1/6*d**3. Let i(y) = 0. What is y?
-1, 0
Determine d so that -1/3*d**2 + 5/3*d - 5/3*d**3 + 1/3 = 0.
-1, -1/5, 1
Suppose h + 4*x - 13 = 3, 3*h + 4*x - 32 = 0. Factor -h*o**2 + 6*o**2 - 2*o**3 - 2*o**4 - 2*o**3.
-2*o**2*(o + 1)**2
Let u(b) be the first derivative of -3*b**5/5 + 9*b**4/4 - 3*b**3 + 3*b**2/2 - 4. What is f in u(f) = 0?
0, 1
Suppose -975/4*b + 375/4 - 3/4*b**5 + 51/4*b**4 + 435/2*b**2 - 159/2*b**3 = 0. Calculate b.
1, 5
Let r(h) be the second derivative of 0 + 3*h - 1/2*h**2 + 1/3*h**3 - 1/12*h**4. Factor r(g).
-(g - 1)**2
Let v(f) be the second derivative of f**7/105 - f**6/25 + 3*f**5/50 - f**4/30 + f. Factor v(w).
2*w**2*(w - 1)**3/5
Suppose 13 = 3*t + 1. Let s(o) be the third derivative of -o**2 + 0*o + 1/12*o**3 + 0 - 1/120*o**5 + 0*o**t. Factor s(m).
-(m - 1)*(m + 1)/2
Let l(d) = 4*d**3 + 11*d**2. Let q(a) = -a**2. Let h(t) = l(t) + 3*q(t). Factor h(p).
4*p**2*(p + 2)
Suppose -4 = -l + 5. Factor c**5 + 4*c**4 + c**3 - 15*c**4 + l*c**4.
c**3*(c - 1)**2
Factor 91*t - 2*t**2 - 91*t.
-2*t**2
Let o be (-4)/((-12)/51) - 2. Suppose x + 5 = o. Factor x*a + 3*a**2 - 3*a**3 - 10*a.
-3*a**2*(a - 1)
Factor 0 + 0*v - 7/5*v**5 + 0*v**3 + 0*v**2 - 2/5*v**4.
-v**4*(7*v + 2)/5
Suppose -3*s - 25 = -25. Let b(q) be the third derivative of 0*q + 1/72*q**4 - 1/360*q**5 - 1/36*q**3 - 2*q**2 + s. Factor b(a).
-(a - 1)**2/6
Factor -2*r**2 + 2*r - 5 - 3*r + r**3 + 7.
(r - 2)*(r - 1)*(r + 1)
Let h(z) be the third derivative of 0*z + 1/27*z**3 + 1/270*z**5 + 1/54*z**4 + 0 - 4*z**2. Solve h(j) = 0.
-1
Let f = 75 - 73. Let d(x) be the second derivative of 1/135*x**6 + 0*x**5 - 1/27*x**4 + 1/9*x**2 + f*x + 0 + 0*x**3. Factor d(k).
2*(k - 1)**2*(k + 1)**2/9
Suppose 0 = 3*t + w - 9, -t + 3*w = w - 3. Let z be 1*-1*(-1)/t. Determine f so that -z*f - 1/3*f**4 + 1/3*f**3 + 0 + 1/3*f**2 = 0.
-1, 0, 1
Suppose -x + 9 - 3 = 0. Let n = x - 3. Solve -48/7*k**2 - 2/7*k**4 + 16/7*k**n - 32/7 + 64/7*k = 0.
2
Let i(j) = 4*j**4 - 14*j**3 + 6*j**2 - 6*j. Let y(w) = -w**3 + w**2 - w. Let h(g) = -i(g) + 10*y(g). Suppose h(v) = 0. Calculate v.
-1, 0, 1
Let f = 3 + 0. Let v be f*(-5)/(-3) + -1. Factor t**4 + t + 0*t**4 - t**3 + 3*t**2 - v*t**2.
t*(t - 1)**2*(t + 1)
Factor -10*r**2 - 9*r**3 - 101*r**3 + 2 + 20*r**3 + 10*r + 216*r**5.
2*(2*r - 1)**2*(3*r + 1)**3
Let f = -524 - -2621/5. Factor -3/5*c**2 + 4/5*c + 4/5 - 2/5*c**3 + f*c**4.
(c - 2)**2*(c + 1)**2/5
Let w(a) be the third derivative of -a**6/70 - a**5/20 - 14*a**2 + 2*a. Factor w(r).
-3*r**2*(4*r + 7)/7
Let i(m) be the second derivative of -2/15*m**6 + 7/24*m**4 + 1/20*m**5 + 1/4*m**2 + 2*m - 11/24*m**3 + 1/24*m**7 + 0. Factor i(j).
(j - 1)**3*(j + 1)*(7*j - 2)/4
Let m(y) be the first derivative of y**3/2 + 3*y**2/4 - 3*y - 10. Factor m(v).
3*(v - 1)*(v + 2)/2
Let x(o) = -2*o + 1. Let p be x(-2). Suppose y + 2 = p. Suppose y*c**3 - c - 3*c + c = 0. Calculate c.
-1, 0, 1
Let u = -6 + 1. Let q(i) =