7*f**5.
2*f**2*(f - 1)**2*(f + 1)/7
Let c(z) be the first derivative of -z**5/10 - z**4/3 + z**3/3 + 2*z**2 + 5*z + 6. Let d(j) be the first derivative of c(j). Factor d(t).
-2*(t - 1)*(t + 1)*(t + 2)
Solve 0*l + 1/8*l**3 - 1/2 + 3/8*l**2 = 0.
-2, 1
Let n(t) be the second derivative of -1/30*t**4 - 1/15*t**3 + 0 - 6*t + 2/5*t**2. Factor n(z).
-2*(z - 1)*(z + 2)/5
Suppose 2/7*w**5 + 340/7*w**3 + 2250/7*w + 1250/7 + 6*w**4 + 1300/7*w**2 = 0. Calculate w.
-5, -1
Let b(o) = 3*o**2 - 5*o + 19. Let z(p) = 5*p**2 - 6*p + 6. Let f(r) = 11*r**2 - 13*r + 12. Let j(t) = 4*f(t) - 9*z(t). Let a(g) = 4*b(g) + 14*j(g). Factor a(m).
-2*(m - 2)**2
Let z be (-24)/((6/(-10))/((-40)/(-700))). Find l, given that -z*l**2 + 0*l + 36/7*l**5 + 64/7*l**3 - 12*l**4 + 0 = 0.
0, 2/3, 1
Let o be 1 + -4 + 7 + -4. Let f be (2 - 1)*o/(-2). Factor 1/2 + f*m + 0*m**3 + 1/2*m**4 - m**2.
(m - 1)**2*(m + 1)**2/2
Let s(r) be the third derivative of 0*r**3 + 0*r - 1/30*r**5 + 0 + 5*r**2 - 1/12*r**4. Factor s(b).
-2*b*(b + 1)
Let a = -503 + 507. Factor -3/7*x**5 - 15/7*x**a - 15/7*x - 30/7*x**2 - 3/7 - 30/7*x**3.
-3*(x + 1)**5/7
Let x(p) = p**3 - 6*p**2 + p - 4. Let d be x(6). Suppose -2*q - q + 7*q + 4*q**3 + 9*q**d - q**2 = 0. What is q?
-1, 0
Let a(v) be the third derivative of v**6/120 - v**5/60 - v**4/12 - 2*v**2. Factor a(w).
w*(w - 2)*(w + 1)
Suppose -10 - 45*y + 125/4*y**3 - 75/2*y**2 = 0. Calculate y.
-2/5, 2
Let d(y) be the second derivative of -y**6/135 + y**4/54 - 19*y. Factor d(c).
-2*c**2*(c - 1)*(c + 1)/9
Let m(a) = a**2 + 3*a + 2. Suppose 20 = -2*g + 18. Let i be m(g). Factor i*c**2 + 1/6*c**3 + 0*c - 1/6*c**5 + 0 + 0*c**4.
-c**3*(c - 1)*(c + 1)/6
Let m = 2203/5520 + 1/1104. Suppose -2/5*x**3 + 0*x**2 - 1/5*x**4 + 1/5 + m*x = 0. Calculate x.
-1, 1
Suppose 4*y = 4, k + 6 = 5*y + 3. Solve 1/2*j**3 + 1/4*j**4 - 1/2*j + 0 - 1/4*j**k = 0 for j.
-2, -1, 0, 1
Let a(r) be the second derivative of 1/40*r**5 - 1/6*r**3 + 0*r**2 + 0 + 1/24*r**4 + r. Factor a(l).
l*(l - 1)*(l + 2)/2
Let y(b) be the second derivative of 2*b**6/105 + b**5/7 - 10*b - 2. Find q such that y(q) = 0.
-5, 0
Let q be (-2)/1 - (-6)/1. Suppose -v - 2 = -3*l, -q*l - v = -0*v - 12. What is w in 2*w**l + 2*w + w**2 - w**2 = 0?
-1, 0
Suppose -32*j + 37*j = 20. Let y(r) be the first derivative of 0*r**5 - r**2 + r**j + 3 + 0*r**3 - 1/3*r**6 + 0*r. Determine g, given that y(g) = 0.
-1, 0, 1
Let y(f) be the first derivative of f**6/1440 - f**4/96 - 5*f**3/3 - 4. Let n(d) be the third derivative of y(d). Factor n(j).
(j - 1)*(j + 1)/4
Suppose 4*b = -3*h + 3, 4*b - 3*h + 3 = -0. Suppose 5*d + 2 + b - 8*d + 8*d**2 - 7*d = 0. What is d?
1/4, 1
Let d(w) = w - 45. Let a be d(45). Factor 2/5*v**3 + 0*v**2 - 2/5*v + a.
2*v*(v - 1)*(v + 1)/5
Let -9*i**3 - 8/3 - 18*i**2 - 12*i = 0. Calculate i.
-2/3
Suppose 3*h - 2*u = -44, -3*h + 2*u + 28 = -6*h. Let c be h/(-5) + 10/(-25). Factor -2 - 4*v**3 + 0 + 0*v + 4*v + c*v**4.
2*(v - 1)**3*(v + 1)
Let l(i) = -i**2 + 2*i + 26. Let q be l(6). Let 1/5*j**q - 3/5*j + 2/5 = 0. Calculate j.
1, 2
Let x(p) be the first derivative of 2*p**4/7 + 22*p**3/21 - 3*p**2/7 + 7. Determine s so that x(s) = 0.
-3, 0, 1/4
Let o(z) be the third derivative of 1/35*z**7 + 0*z + 0*z**3 - 1/30*z**6 - 3*z**2 - 1/10*z**5 + 0 + 1/6*z**4. Solve o(i) = 0 for i.
-1, 0, 2/3, 1
Suppose -4*p + 29 = 13. Factor -1/2*n + 1/2*n**3 + 0 - 1/4*n**p + 1/4*n**2.
-n*(n - 2)*(n - 1)*(n + 1)/4
Let o = -17 + 20. Factor 3*i**4 - 12 + 12*i**o - 16*i - 23*i**2 + 32*i**2 + 4*i.
3*(i - 1)*(i + 1)*(i + 2)**2
Let c(l) = l**3 - 6*l**2 - 9*l + 1. Let o(s) = 6*s**2 + 8*s. Let f(a) = -2*c(a) - 3*o(a). Factor f(y).
-2*(y + 1)**3
Let i = -49 - -49. Let g(f) be the third derivative of -1/60*f**6 + 1/168*f**8 + 1/105*f**7 + 0*f**4 + 0*f**3 + 3*f**2 - 1/30*f**5 + i*f + 0. Factor g(u).
2*u**2*(u - 1)*(u + 1)**2
Let f(j) be the third derivative of -j**5/16 + j**4/16 + 10*j**2. Factor f(t).
-3*t*(5*t - 2)/4
Suppose 0*x**3 - 1/4*x**4 - 1/4 + 0*x + 1/2*x**2 = 0. Calculate x.
-1, 1
Let i(b) = 3*b + 74. Let x be i(-24). Let 0 + 8/13*l**x + 18/13*l**4 - 24/13*l**3 + 0*l = 0. What is l?
0, 2/3
Let w(b) be the first derivative of -2/27*b**3 + 0*b + 1/9*b**2 - 1/18*b**4 - 1 + 2/45*b**5. Factor w(a).
2*a*(a - 1)**2*(a + 1)/9
Let u be 6/60*(-4 + 9). Suppose 4 - l**2 - u*l**3 + 2*l = 0. What is l?
-2, 2
Solve -8/5*o**3 + 2/5*o + 0 - 6/5*o**2 = 0.
-1, 0, 1/4
Let v(w) be the first derivative of 32/3*w**3 + 8 + 3*w**4 - 8*w + 6*w**2. Suppose v(m) = 0. What is m?
-2, -1, 1/3
Factor q**2 + 0*q - 3*q**2 + 6*q - 4.
-2*(q - 2)*(q - 1)
Let n(j) be the first derivative of 1/5*j**2 - 1 - 2/15*j**3 + 4/5*j. Let n(t) = 0. What is t?
-1, 2
Let g be -2 - 0 - (-16)/7. Suppose -5*h = -3*h. Determine a, given that -4/7*a**2 + 6/7*a**5 - g*a**3 + h*a + 8/7*a**4 + 0 = 0.
-1, 0, 2/3
Let s be (8/(-7))/((-20)/70). Suppose 3*c - o - s = 5*c, -c - 5*o = 20. Factor 0 - 1/3*u**5 - 1/3*u + 0*u**2 + c*u**4 + 2/3*u**3.
-u*(u - 1)**2*(u + 1)**2/3
Suppose 3*n - 5*n + 4 = 0. Let y(i) be the first derivative of -5/2*i**n - 2 + 2/3*i**3 + 2*i. Suppose y(b) = 0. What is b?
1/2, 2
Let m(c) be the first derivative of -5*c**3/3 - 15*c**2 + 35*c - 21. Factor m(g).
-5*(g - 1)*(g + 7)
Let a(o) be the second derivative of 121/42*o**4 + 4/7*o**2 - 4*o + 0 + 44/21*o**3. Let a(j) = 0. Calculate j.
-2/11
Let b = 10 - 6. Let w(d) be the first derivative of 3/8*d**b + 1 + 0*d + 1/10*d**5 + 1/2*d**3 + 1/4*d**2. Find k such that w(k) = 0.
-1, 0
Let l(x) be the second derivative of -3*x**5/40 - 15*x**4/8 - 63*x**3/4 - 147*x**2/4 + 3*x. Determine p, given that l(p) = 0.
-7, -1
Let h be (-5 + 5)*(-1)/(-1). Let a(c) be the second derivative of c + 0 + h*c**2 - 1/15*c**3 + 1/15*c**4. Factor a(k).
2*k*(2*k - 1)/5
Factor 2/11*w**2 + 0 + 4/11*w.
2*w*(w + 2)/11
Let z = -3 + 5. Solve -j - j**4 - j**3 - j**2 + 2*j**4 + z*j**3 = 0.
-1, 0, 1
Let p(n) be the third derivative of n**8/840 + 2*n**7/525 - n**6/300 - n**5/75 + 28*n**2. Let p(z) = 0. What is z?
-2, -1, 0, 1
Let j(u) be the third derivative of -1/48*u**4 + 0 + 1/240*u**5 + 1/24*u**3 + 0*u - u**2. Factor j(r).
(r - 1)**2/4
Let y(b) be the first derivative of -b**6/12 - 2*b**5/5 - 3*b**4/4 - 2*b**3/3 - b**2/4 + 2. Let y(n) = 0. Calculate n.
-1, 0
Let n = -58 + 58. Determine s so that 0*s**4 + n*s + 0 - 2/3*s**5 + 2/3*s**3 + 0*s**2 = 0.
-1, 0, 1
Let v be (-6)/(-33) + 6/(-33). Let j(s) be the first derivative of 2 + v*s**2 + 2/15*s**5 - 2/9*s**3 + 1/6*s**4 + 0*s - 1/9*s**6. Find x, given that j(x) = 0.
-1, 0, 1
Let f(l) = -l**3 - 2*l**2 - 3*l - 1. Let r(c) = -c**3 - 7*c**2 + 7*c - 10. Let q be r(-8). Let a be f(q). Factor 0*d + 2*d - 2*d**2 + 3*d**3 - 2*d**3 + a*d**2.
d*(d + 1)*(d + 2)
Factor -17 - 4*v**2 + 20 + 3*v**2 - 2*v.
-(v - 1)*(v + 3)
Factor 6*c - 2 - 3 + c**2 - 4*c + 6.
(c + 1)**2
Let s(y) = -y**2. Let i(f) = -3*f**2 + 8*f + 8. Let z(t) = 2*i(t) - 10*s(t). Factor z(n).
4*(n + 2)**2
Let w(x) be the third derivative of -x**6/24 - x**5/6 + 5*x**4/24 + 5*x**3/3 + 16*x**2. Find m such that w(m) = 0.
-2, -1, 1
Let s(w) be the third derivative of 0*w**6 + 6*w**2 - 1/144*w**4 + 0 + 0*w - 1/180*w**5 + 1/2016*w**8 + 0*w**3 + 1/630*w**7. Factor s(f).
f*(f - 1)*(f + 1)**3/6
Let v(c) be the third derivative of 2*c**5/45 + 5*c**4/36 + c**3/9 - 7*c**2. Suppose v(z) = 0. Calculate z.
-1, -1/4
Let o be (-2)/(-48)*4/7. Let n(c) be the second derivative of 0*c**3 - 1/30*c**6 + 0 - 2*c + 1/20*c**5 - o*c**7 + 1/12*c**4 + 0*c**2. Factor n(t).
-t**2*(t - 1)*(t + 1)**2
Let c(r) be the third derivative of -r**4/24 + r**3/2 + 4*r**2. Let v be c(3). Factor v*z + 6/5*z**3 + 0 + 1/5*z**2 + 4/5*z**5 + 9/5*z**4.
z**2*(z + 1)**2*(4*z + 1)/5
Let d(v) be the third derivative of -2*v**7/105 - v**6/15 + 10*v**2. Factor d(b).
-4*b**3*(b + 2)
Let x(z) be the first derivative of z**7/1155 + z**6/165 + 2*z**5/165 - 4*z**2 - 1. Let d(i) be the second derivative of x(i). Let d(m) = 0. Calculate m.
-2, 0
Let h(p) be the second derivative of 0 + 1/54*p**4 + p**2 + 2/9*p**3 + 4*p. Factor h(x).
2*(x + 3)**2/9
What is t in 0 - 10/7*t**5 + 16/7*t - 34/7*t**4 - 12/7*t**3 + 40/7*t**2 = 0?
-2, -2/5, 0, 1
Factor 0*d - 4/9*d**3 + 0 - 2/9*d**2 - 2/9*d**4.
-2*d**2*(d + 1)**2/9
Let u = 253/40 - 31/5. Let o(k) be the first derivative of u*k**4 - 1/9*k**3 - 1/12*k**2 + 1 + 0*k. Factor o(n).
n*(n - 1)*(3*n + 