cond derivative of -h + 1/35*h**5 + 1/105*h**6 - i*h**2 + 0 - 2/21*h**3 + 0*h**4. Factor y(t).
2*(t - 1)*(t + 1)**3/7
Let h(u) be the second derivative of u**7/840 + u**6/180 + u**5/120 - u**3/6 + 3*u. Let y(z) be the second derivative of h(z). Factor y(n).
n*(n + 1)**2
Let p(m) be the third derivative of -1/45*m**5 + 2/9*m**3 + 2*m**2 + 0 + 1/180*m**6 - 1/36*m**4 + 0*m. Suppose p(x) = 0. Calculate x.
-1, 1, 2
Suppose -w + 3*w + 2*c - 6 = 0, 2*c - 6 = w. Factor w + 1/7*d**4 + 1/7*d + 3/7*d**2 + 3/7*d**3.
d*(d + 1)**3/7
Factor -2/3*d**2 + d**5 + 0 - 1/3*d**3 + 4/3*d**4 + 0*d.
d**2*(d + 1)**2*(3*d - 2)/3
Let f(t) be the second derivative of -25*t**7/56 - 3*t**6 - 627*t**5/80 - 83*t**4/8 - 15*t**3/2 - 3*t**2 + 13*t. Find w, given that f(w) = 0.
-2, -1, -2/5
Let s be ((-3)/2)/((-4)/32). Determine n, given that 3*n**3 - s*n**3 + 3*n**2 + 11*n**4 - 3*n**5 - 2*n**4 = 0.
0, 1
Factor -3/2*o**3 - 9/2 + 3/2*o + 9/2*o**2.
-3*(o - 3)*(o - 1)*(o + 1)/2
Let c(v) = -5*v**3 + v**2 - 1. Let n be c(1). Let f be (n - 4)*(-1)/3. Factor -4*m**2 + 9*m**2 + m + 7*m**f + m + 4*m**2.
m*(m + 1)*(7*m + 2)
Let s = -269 - -809/3. Factor 2/3 + 4/3*y + s*y**2.
2*(y + 1)**2/3
Factor -21*q + 2*q - 2*q**2 + q.
-2*q*(q + 9)
Suppose 7*b + 4 = 9*b. Determine l so that l**5 + 0*l + 1/3*l**b - 1/3*l**4 - l**3 + 0 = 0.
-1, 0, 1/3, 1
Solve -4/7 - 4/7*y - 1/7*y**2 = 0 for y.
-2
Let b(s) = -s**3 + 38*s**2 - 2*s + 76. Let a be b(38). Factor 1/2*w + a - 1/4*w**2.
-w*(w - 2)/4
Let m be (-2)/8 - 170/(-200). Factor 0*j**2 - 3/5*j**3 + m*j + 0.
-3*j*(j - 1)*(j + 1)/5
Let o = 3 + 5. Suppose -4*n = -0 - o. Factor 3*c**2 - 4*c - 3*c**4 + 0*c**n + c + 2*c**3 + c**3.
-3*c*(c - 1)**2*(c + 1)
Let y = 19 - 3. Suppose -t + 9 = -4*t, h - 4*t - y = 0. Determine x so that 0 - 2/3*x - 5/3*x**2 + 1/3*x**h + 1/3*x**5 - x**3 = 0.
-1, 0, 2
Let w(a) be the second derivative of -a**6/40 + a**5/10 - a**2/2 + 2*a. Let d(l) be the first derivative of w(l). Factor d(s).
-3*s**2*(s - 2)
Let r = 7 - 5. Suppose 4*a - 7 - 1 = 0. Factor f**r - 3*f**a - 4*f**3 + 2*f**3.
-2*f**2*(f + 1)
Factor x - 12*x**3 - 22*x**2 - 7*x - 6*x - 153*x**4 + 151*x**4.
-2*x*(x + 1)*(x + 2)*(x + 3)
Factor 3*z - 3/2 - 3/2*z**2.
-3*(z - 1)**2/2
Let h(w) be the third derivative of -w**7/45 + w**6/10 - 109*w**5/630 + w**4/7 - 4*w**3/63 + w**2. Factor h(r).
-2*(r - 1)**2*(7*r - 2)**2/21
Let o(g) be the second derivative of -3/20*g**5 - g + 0 - 1/4*g**4 + 3/2*g**2 + 1/2*g**3. Factor o(i).
-3*(i - 1)*(i + 1)**2
Let m(f) be the third derivative of 3*f**2 - 1/84*f**4 + 0*f + 0 + 1/42*f**3 + 1/420*f**5. Factor m(h).
(h - 1)**2/7
Let z(y) = y**2 - 3*y + 2. Let g be z(3). Determine h so that 16*h**2 + g + 4*h + 4*h**3 + 3*h**3 + h + 6*h = 0.
-1, -2/7
Suppose -4*c = -8*c + 12. Suppose c*i - 4 = i. Solve 2/9*x - 4/9*x**3 + 2/9*x**4 - 4/9*x**i + 2/9 + 2/9*x**5 = 0.
-1, 1
Let l(n) be the second derivative of -n**7/56 - 3*n**6/20 - 9*n**5/20 - n**4/2 + 10*n. Let l(u) = 0. What is u?
-2, 0
Let p(w) be the first derivative of -1/6*w**4 - 5 - 1/9*w**2 + 2/9*w**3 + 0*w + 2/45*w**5. Suppose p(c) = 0. Calculate c.
0, 1
Factor 1/2 + n**4 + 5/2*n + 7/2*n**3 + 9/2*n**2.
(n + 1)**3*(2*n + 1)/2
Let i(w) be the first derivative of -3 - 2/35*w**5 + 0*w**3 - 2/7*w**2 + 2/7*w + 1/7*w**4. Factor i(x).
-2*(x - 1)**3*(x + 1)/7
Solve 3*y - 3*y**3 + 2*y**2 + 17 - 3*y**2 - y**4 - 15 = 0 for y.
-2, -1, 1
Let v(i) = i**2 + 3*i + 2. Let k be v(-5). Solve 2*n**5 + 30*n**4 + n**5 - 24*n**2 + 7*n**5 - n**5 + k*n**3 = 0 for n.
-2, 0, 2/3
Let z(s) = -7*s + 2. Let u be z(-14). Suppose 2*a**4 - 3*a**5 - u*a**2 + 97*a**2 + 3*a**3 + a**4 = 0. What is a?
-1, 0, 1
Let g(s) be the third derivative of 0 + 0*s - 7/60*s**5 - 1/12*s**4 + 0*s**3 - 7*s**2. Factor g(z).
-z*(7*z + 2)
Let n(p) = -7*p**3 - 22*p**2 - 15*p + 3. Let a(w) = 50*w**3 + 155*w**2 + 105*w - 20. Let v(b) = 3*a(b) + 20*n(b). Let v(k) = 0. What is k?
-3/2, -1, 0
Let x be -2*(-1)/(-4)*50. Let m be (-15)/x - 17/(-5). Factor 2*i + 0*i**3 - 6*i**3 + m*i**3.
-2*i*(i - 1)*(i + 1)
Let z = 21 + -15. Let i(v) be the third derivative of v**2 + 1/90*v**z - 1/60*v**5 + 0*v + 0*v**3 - 1/72*v**4 + 0. What is f in i(f) = 0?
-1/4, 0, 1
Let c = -271 + 817/3. Factor -2/3 - 2/3*s + c*s**2.
2*(s - 1)*(2*s + 1)/3
Let x(f) = -5*f**4 - 11*f**3 - 6*f**2 - 2. Let a(q) = -36*q**4 - 78*q**3 - 42*q**2 - 15. Let d(t) = 2*a(t) - 15*x(t). Let d(z) = 0. Calculate z.
-2, -1, 0
Let g(w) be the first derivative of -w**6/30 + w**5/10 + w**4/4 - 2*w**3/3 - w**2 + 1. Let c(v) be the second derivative of g(v). Factor c(a).
-2*(a - 2)*(a + 1)*(2*a - 1)
Let z(u) = 5*u**2 + 3*u + 2. Let y be z(-1). Factor 3*c - 2*c**3 - 4*c + c**y - c**3 + 3*c**2.
c*(c - 1)**3
Let r(k) be the first derivative of 2*k**6/3 + 44*k**5/5 + 46*k**4 + 120*k**3 + 162*k**2 + 108*k - 5. Factor r(y).
4*(y + 1)**2*(y + 3)**3
Let h(g) = -1 + 13*g + g**2 - 14*g + 1. Let n be h(0). Let 0*r**3 + 1/5*r**4 + 0 + n*r - 1/5*r**2 = 0. Calculate r.
-1, 0, 1
Let j(b) = -b**3 - 3*b**2 + 2. Let k(h) = -h**3 - h**2 + h + 1. Let d(y) = j(y) - 2*k(y). Suppose d(w) = 0. What is w?
-1, 0, 2
Let n(r) be the first derivative of r**6/420 - r**5/70 + 7*r**2/2 - 10. Let i(o) be the second derivative of n(o). Suppose i(s) = 0. Calculate s.
0, 3
Let v(j) be the first derivative of 4*j**6/21 - 6*j**5/7 + 10*j**4/7 - 20*j**3/21 + 2*j/7 + 4. What is h in v(h) = 0?
-1/4, 1
Let t(h) = -h**3 - 7*h**2 - 8*h + 10. Let m be t(-5). Determine p, given that 1/5*p**3 + 1/5*p**5 + 0*p**2 + 0 - 2/5*p**4 + m*p = 0.
0, 1
Let z(o) = o**3 - 2*o**2 + o. Let a(m) = 9*m**3 - 16*m**2 + 8*m - 1. Let g(r) = 6*a(r) - 51*z(r). Solve g(p) = 0.
-2, -1, 1
Solve 1/4 + 1/8*o**2 + 3/8*o = 0.
-2, -1
Let r(g) be the third derivative of 6*g**2 + 0*g**4 + 0*g + 0 + 0*g**3 + 1/30*g**6 - 1/15*g**5. Determine v, given that r(v) = 0.
0, 1
Factor f - 4*f**5 + f**2 + 7*f**2 - 20*f**3 - f + 16*f**4.
-4*f**2*(f - 2)*(f - 1)**2
Let a(o) = 9*o**2 - o. Let r be a(1). Determine b, given that 14*b + 3*b**3 - 6*b**2 - b**3 - b**3 - r - 2*b = 0.
2
Let d(w) be the second derivative of -7*w**5/120 - 23*w**4/72 - 5*w**3/9 - w**2/3 + 5*w. Factor d(s).
-(s + 1)*(s + 2)*(7*s + 2)/6
Suppose -4*w + w = 0. Suppose w = -4*r - o + 4 + 8, 0 = 4*r - 4*o + 8. Factor 1/4*h**5 + 0 + 1/4*h**3 + 0*h**r + 0*h + 1/2*h**4.
h**3*(h + 1)**2/4
Let p = -23 - -27. Let s(j) be the third derivative of -2*j**2 + 0 - 1/150*j**5 + 1/525*j**7 - 1/300*j**6 + 1/60*j**p + 0*j + 0*j**3. Factor s(g).
2*g*(g - 1)**2*(g + 1)/5
Let h(v) be the first derivative of v**3/7 - 3*v**2/14 - 6*v/7 + 2. Factor h(r).
3*(r - 2)*(r + 1)/7
Find i such that 1/7*i**4 + 3/7*i**3 + 0 - 5/7*i**2 + 2/7*i - 1/7*i**5 = 0.
-2, 0, 1
Let w be ((-2)/4)/(4/32). Let u be -3*1/w*4. What is z in z**4 - z**3 + 5*z**u + 6*z**2 + 0 + 1 + 4*z = 0?
-1
Let w(n) be the second derivative of -n**2 - 2*n + 0 + 1/6*n**4 + 0*n**3. What is p in w(p) = 0?
-1, 1
Let i(g) be the second derivative of g**4/24 - 2*g**3/3 + 7*g**2/4 - 23*g. Factor i(c).
(c - 7)*(c - 1)/2
Let u(z) = z**2 + 20*z + 51. Let v be u(-17). Factor 1/3*h + v*h**2 - 1/3*h**3 + 0.
-h*(h - 1)*(h + 1)/3
Let u(q) be the second derivative of -q**8/4200 - q**7/1050 - q**6/900 + q**3/6 + 2*q. Let a(g) be the second derivative of u(g). Factor a(r).
-2*r**2*(r + 1)**2/5
Let a(g) be the third derivative of 0*g - 2/3*g**3 + 1/20*g**6 + 2*g**2 + 7/12*g**4 - 4/15*g**5 + 0. Factor a(z).
2*(z - 1)**2*(3*z - 2)
Solve 0*v**2 + 1/3*v**3 - v - 2/3 = 0.
-1, 2
Let d(k) be the third derivative of -k**6/30 + k**4/6 - 2*k**2. Factor d(y).
-4*y*(y - 1)*(y + 1)
Let b(c) be the third derivative of -c**7/315 + c**6/72 - c**5/45 + c**4/72 + 18*c**2. Factor b(x).
-x*(x - 1)**2*(2*x - 1)/3
Let t(l) be the second derivative of 1/4*l**4 + 0 + 2*l + 0*l**2 - 1/3*l**3. Let w(g) = -4*g**2 + 3*g. Let k(s) = -3*t(s) - 2*w(s). Factor k(q).
-q**2
Suppose -3/2*z**4 + 3/2*z - 3 + 9/2*z**2 - 3/2*z**3 = 0. Calculate z.
-2, -1, 1
Let a = 48 - 45. Suppose -2/3*q**2 - 2/3*q**a - 2/9*q**4 - 2/9*q + 0 = 0. What is q?
-1, 0
Let g(n) be the third derivative of -5/2*n**4 + 1/10*n**5 + 6*n**2 + 3/35*n**7 + 0*n - 4*n**3 - 9/112*n**8 + 29/40*n**6 + 0. Determine z so that g(z) = 0.
-1, -2/3, 1, 2
Let k(v) be the second derivative of -v**5/4 - 5*v**4/4 - 5*v**3/3 - 14*v. Determine a so that k(a) = 0.
-2, -1, 0
Suppose 11*z = -7 + 29. Factor 1