Let t(s) be the first derivative of -1/7*s**4 - 2/35*s**5 + 2/7*s**2 + 2/7*s + 0*s**3 - 6. Factor t(u).
-2*(u - 1)*(u + 1)**3/7
Let a(t) = t**4 + t**2 - t - 1. Let l(k) = 8*k**4 - k**3 + 5*k**2 - 6*k - 6. Let w(d) = -6*a(d) + l(d). Determine g so that w(g) = 0.
-1/2, 0, 1
Suppose -106 = -27*d - 25. Factor -6/5 - d*v + 21/5*v**2.
3*(v - 1)*(7*v + 2)/5
Let j(g) be the third derivative of -g**6/660 - 2*g**5/55 - 4*g**4/11 - 64*g**3/33 - 11*g**2. Solve j(d) = 0.
-4
Let a(b) = -b**3 - 3*b**2 - 2*b + 1. Let s be a(-3). Let x = -4 + s. Factor 2/7*w**4 + 6/7*w**2 + 2/7*w + 0 + 6/7*w**x.
2*w*(w + 1)**3/7
Let t(i) be the second derivative of i**8/3360 - i**6/360 + i**4/48 - i**3/3 - 3*i. Let c(k) be the second derivative of t(k). Factor c(j).
(j - 1)**2*(j + 1)**2/2
Let -40/3*g + 50/3*g**2 + 8/3 = 0. Calculate g.
2/5
Let t(j) be the first derivative of -27*j**6/20 - 117*j**5/40 - 5*j**4/3 - j**3/3 - j - 2. Let x(l) be the first derivative of t(l). Factor x(h).
-h*(h + 1)*(9*h + 2)**2/2
Let v(p) = 10*p**4 + 2*p**3 + 15*p**2 - 8*p. Let u(c) = -c**4 - c**2. Let d(a) = 22*u(a) + 2*v(a). Factor d(j).
-2*j*(j - 2)**2*(j + 2)
Let d(h) be the first derivative of -1/60*h**5 + 1/6*h**3 + 1/3*h**2 + 3 - h + 0*h**4. Let a(z) be the first derivative of d(z). Determine q so that a(q) = 0.
-1, 2
Let g(i) be the first derivative of 4*i**3 + 8*i**2 + 4*i - 1. Factor g(q).
4*(q + 1)*(3*q + 1)
Suppose -3*p + 6*p + 6 = 3*j, -5*j = -2*p + 2. Let n(v) = -v**3 - 2*v**2 - 4*v - 1. Let f(m) = m**2 - m. Let b(r) = j*f(r) + 2*n(r). Factor b(d).
-2*(d + 1)**3
Let r(y) = 18*y**3 + 21*y**2 + 6*y - 3. Let f(k) = k**4 - 19*k**3 - 21*k**2 - 5*k + 4. Let n(g) = 3*f(g) + 4*r(g). Determine j, given that n(j) = 0.
-3, -1, 0
Let d(i) be the first derivative of i**6/2 - i**5/2 - i**4 + i**3 + i**2/2 - i/2 - 5. Let d(y) = 0. Calculate y.
-1, -1/2, 1/3, 1
Factor 2/7*a**2 - 20/7*a + 50/7.
2*(a - 5)**2/7
Let q = 3 - 3. Suppose 8*y - 13*y = q. Let 2/7*s**2 + 2/7*s + y = 0. What is s?
-1, 0
Let y = 95 - 92. Let z be (-1)/(-2)*0/(-3). Factor -2/7*w**2 + 0 + z*w + 2/7*w**4 + 0*w**y.
2*w**2*(w - 1)*(w + 1)/7
Suppose -4*g + 35 = -5*i, -i = 3*i + 12. Suppose -11 = -4*f + g. Factor -2*p**5 - 2*p**4 + p**5 + p**f.
-p**4*(p + 1)
Let z(g) = -7*g**3 + 26*g**2 + 63*g + 25. Let c(f) = 3*f**3 - 13*f**2 - 31*f - 13. Let m(r) = 15*c(r) + 6*z(r). Factor m(y).
3*(y - 15)*(y + 1)**2
Let s = -18/47 + 1153/188. Let l = s - 11/2. Find a, given that l*a**2 + 1/4 - 1/2*a = 0.
1
Let q(s) be the third derivative of -s**7/56 + s**6/20 + s**5/20 + 6*s**2. Suppose q(v) = 0. What is v?
-2/5, 0, 2
Let s(o) be the first derivative of 4*o**6/3 + 22*o**5/5 + 9*o**4/2 + 2*o**3/3 - o**2 + 6. Factor s(x).
2*x*(x + 1)**3*(4*x - 1)
Let s(b) be the first derivative of 0*b**2 - 1/3*b**6 - 2/5*b**5 - 2 + 1/2*b**4 + 2/3*b**3 + 0*b. Factor s(l).
-2*l**2*(l - 1)*(l + 1)**2
Let c(v) be the second derivative of v**7/42 - v**6/15 + v**4/6 - v**3/6 + 2*v. Factor c(w).
w*(w - 1)**3*(w + 1)
Let r(j) be the third derivative of j**7/1785 - j**6/340 + j**5/170 - j**4/204 + 5*j**2. Factor r(l).
2*l*(l - 1)**3/17
Let i be (-129)/180 - 18/(-24). Let a(s) be the second derivative of 0*s**2 - i*s**6 - 1/36*s**4 - 1/20*s**5 + 0 + s + 0*s**3 - 1/126*s**7. Factor a(x).
-x**2*(x + 1)**3/3
Let s(y) be the first derivative of 2/3*y**3 + 3 - 2*y + 0*y**2. Factor s(c).
2*(c - 1)*(c + 1)
Suppose 0 = 2*t, -7*t = -w - 3*t. Let 10/7*v**4 + w*v + 6/7*v**3 - 4/7*v**2 + 0 = 0. Calculate v.
-1, 0, 2/5
Let m = -11 + 6. Let w(z) = z**3 + 9*z**2 + 15*z + 12. Let c(g) = 8*g**2 + 16*g + 12. Let u(v) = m*c(v) + 4*w(v). Factor u(a).
4*(a - 3)*(a + 1)**2
Let j(b) be the first derivative of b**6/3 + 2*b**5/5 + 5. Factor j(r).
2*r**4*(r + 1)
Let t(w) be the first derivative of -w**6/2 + 3*w**4/2 - 3*w**2/2 + 20. Factor t(p).
-3*p*(p - 1)**2*(p + 1)**2
Let q(a) be the first derivative of 2 + 0*a**3 + 1/4*a**4 + 0*a + 0*a**2 - 1/5*a**5. Factor q(r).
-r**3*(r - 1)
Let v(c) be the first derivative of -1/6*c**2 + 1/12*c**4 - 1/3*c**3 + 1/3*c + 4 + 2/15*c**5. Factor v(w).
(w - 1)*(w + 1)**2*(2*w - 1)/3
Let m(b) = -b**2 + 6*b + 2. Let s be m(6). Let l be 0/(1 + 1) + s. Determine h, given that 1/2 + 5/4*h**4 + 17/4*h**3 + 11/4*h + 21/4*h**l = 0.
-1, -2/5
Let 0*x**3 - 3*x**2 + 4 + 22*x**2 - 6*x**4 - 2*x**3 - x**2 + 18*x = 0. What is x?
-1, -1/3, 2
Let l = -66 - -66. Let p(v) be the second derivative of 0 - 1/36*v**4 + 4*v + 1/18*v**3 + l*v**2. Solve p(h) = 0 for h.
0, 1
Let b = 37 + -34. Let v(m) be the third derivative of 0 + 0*m - 1/120*m**5 + b*m**2 - 1/6*m**3 - 1/16*m**4. Suppose v(y) = 0. What is y?
-2, -1
Let g(j) be the second derivative of 0*j**2 + 0 + 1/70*j**5 + 0*j**4 + 0*j**3 + j. Factor g(h).
2*h**3/7
Let x be (-22)/(-6)*(-10)/45. Let t = x - -112/27. Let t*c**2 + 8/3 + 2/3*c**3 + 16/3*c = 0. What is c?
-2, -1
Suppose -y = -5*y - 4. Let n be (0 - (-2 - -5))/y. Factor z**3 + 2*z**n - z**3.
2*z**3
Suppose 0*c + 10976 = 4*c. Determine v, given that 0 + 9 + 1 + 1176*v**2 + 224*v + 2401*v**4 + 6 + c*v**3 = 0.
-2/7
Let r = -17 - -20. Let z(g) be the third derivative of 1/105*g**7 + 1/10*g**5 + 0*g + 0 + 1/12*g**4 + 0*g**r - g**2 + 1/20*g**6. Solve z(a) = 0.
-1, 0
Let z(k) be the second derivative of -k**4/4 + 3*k**3/2 - 3*k**2 - 5*k. Solve z(r) = 0 for r.
1, 2
Suppose 8*o**3 + 64/3*o**4 - 68/3*o**2 - 10*o**5 + 4/3 + 2*o = 0. Calculate o.
-1, -1/5, 1/3, 1, 2
Let y = -5 + 7. Solve 2/5 - 2/5*j**3 - 2/5*j**y + 2/5*j = 0.
-1, 1
Let y be (-10)/95*(-3)/9. Let g = y + 167/114. Factor 0 + 3/2*x**2 - g*x**4 + 3/2*x - 3/2*x**3.
-3*x*(x - 1)*(x + 1)**2/2
Let y = -36 + 54. Let j = y + -18. Let -1/6*x**4 - 1/2*x**2 - 1/2*x**3 - 1/6*x + j = 0. Calculate x.
-1, 0
Let j(c) be the second derivative of 7/48*c**4 + 0 - 2*c**2 - 1/80*c**5 + 8*c - 1/3*c**3. Find l, given that j(l) = 0.
-1, 4
Suppose -8 = -d - 2*p, 2*d + 4*p = 8*p - 8. Let a be 1*(5 + 0) + -2. Find t, given that a*t**d - t**2 - 3*t**2 = 0.
0
Suppose -15 = p - 4*p. Suppose -4*d = p*u + 2, 0 = -2*u - 0*u - 4*d - 8. Factor 3*b**u - 2*b + b + b**3 + 1 + 4*b.
(b + 1)**3
Let x(f) = f - 3. Let o be x(5). Factor y**3 - 3*y**4 - y**5 + y**o + 4*y**4 - 2*y**2.
-y**2*(y - 1)**2*(y + 1)
Let q = -2/89 - -275/356. Find b, given that 1/4*b**3 + q*b**2 + 3/4*b + 1/4 = 0.
-1
Determine q, given that 4/9*q**3 + 10/9 - 16/9*q + 2/9*q**2 = 0.
-5/2, 1
Let c(a) be the first derivative of -25/22*a**4 + 0*a + 3 - 20/33*a**3 - 1/11*a**2. Factor c(n).
-2*n*(5*n + 1)**2/11
Let c(q) = -q**2 + q. Let b(h) = -2*h**2 + 13*h. Let x(n) = -b(n) + 3*c(n). Let a be x(-10). Factor -2/3 - 1/3*u**3 + u + a*u**2.
-(u - 1)**2*(u + 2)/3
Let h(g) = -5*g**4 - 14*g**3 - 7*g**2 - 2. Let y(r) = -6*r**4 - 15*r**3 - 6*r**2 - 3. Let z(b) = -3*h(b) + 2*y(b). Solve z(d) = 0 for d.
-3, -1, 0
Solve -2*k**3 + 4 - 7*k**2 - 3*k + 3*k**2 + 5*k = 0 for k.
-2, -1, 1
Let u(d) be the third derivative of d**7/630 - d**6/180 + d**5/180 - 8*d**2. Factor u(n).
n**2*(n - 1)**2/3
Let u(y) be the first derivative of 0*y - 1/6*y**3 + 1 + 0*y**2 + 1/8*y**4. Determine j so that u(j) = 0.
0, 1
Let v be 6/(-4)*(-6)/(-9). Let n(b) = 14*b**3 - 14*b**2 - 14*b - 10. Let w(g) = -g**3 + g**2 + g + 1. Let p(z) = v*n(z) - 12*w(z). Let p(a) = 0. What is a?
-1, 1
Let a(t) be the second derivative of t**7/2100 + t**6/900 - t**5/300 - t**4/60 - t**3/2 + t. Let b(j) be the second derivative of a(j). Factor b(n).
2*(n - 1)*(n + 1)**2/5
Factor 32/5*c - 2/5*c**2 + 34/5.
-2*(c - 17)*(c + 1)/5
Let s = 4 - -21. Let g be ((-4)/(-10))/(35/s). Factor 2/7 + 6/7*f - g*f**5 - 4/7*f**3 - 6/7*f**4 + 4/7*f**2.
-2*(f - 1)*(f + 1)**4/7
Let p(g) be the first derivative of 2*g**5/5 - 3*g**4/2 + 4*g**3/3 - 10. Factor p(y).
2*y**2*(y - 2)*(y - 1)
Suppose -7*j + 5 = -2*j. Let n = j - -1. Factor 7 - 7 - 2*k**3 - n*k**4.
-2*k**3*(k + 1)
Let c(m) = -3*m - 4. Let o be c(-2). Let x + 2*x**4 - x**2 - 2*x + x**5 - x**o = 0. Calculate x.
-1, 0, 1
What is l in 7/2*l + 1/2*l**2 + 3 = 0?
-6, -1
Let h(j) be the first derivative of 9/4*j**4 + 12/5*j**5 - j**3 + 0*j**2 + 0*j + 3. Factor h(n).
3*n**2*(n + 1)*(4*n - 1)
Let r(f) be the first derivative of f**4/8 - f**3/6 - 1. Factor r(k).
k**2*(k - 1)/2
Let w(t) be the first derivative of t**5 - 5*t**4 - 25*t**3/3 + 26. What is o in w(o) = 0?
-1, 0, 5
Suppose 12 = 2*v + 8. Suppose 3*f - 3*b - b = 10, -2*b -