**4 + 0*r + 2/7*r**5.
2*r**3*(r - 1)*(r + 1)/7
Let i = 1007/15 - 199/3. Factor -2/5*v**2 + 0 + i*v.
-2*v*(v - 2)/5
Find y such that 4/5*y**5 - 1/5*y + 0 - 3/5*y**3 - y**4 + y**2 = 0.
-1, 0, 1/4, 1
Suppose c = 2*c. Let t = c + 0. Factor 2*i**5 + 4*i**3 + 2 - 7*i**4 + 4*i**2 + t + i**4 - 6*i.
2*(i - 1)**4*(i + 1)
Let o(f) be the first derivative of -4*f**5/5 - 3*f**4 + 4*f**3 - 3. Let k(x) = x**4 + 4*x**3 - 4*x**2. Let c(i) = -7*k(i) - 2*o(i). Solve c(v) = 0 for v.
0, 2
Find b such that -4*b**3 + b**3 - 5 + 5 - 3*b**2 = 0.
-1, 0
Let p(l) be the second derivative of l**4/30 + 2*l**3/15 + 9*l. Solve p(f) = 0.
-2, 0
Let w(l) be the first derivative of -3*l**4/20 - 2*l**3/5 + 5. Factor w(z).
-3*z**2*(z + 2)/5
Let c(b) = b**3 - b**2 + 1. Let f(k) = k - 7. Let w be f(8). Let j be c(w). Factor -1/4*y**2 - j - y.
-(y + 2)**2/4
Let w be 0 - (-2 + 4) - 0. Let k be (-4)/w - (-6)/18. Factor k*p + 3*p**3 + 1/3 + 5*p**2.
(p + 1)*(3*p + 1)**2/3
Let l(a) = -3*a**4 - 54*a**3 - 102*a**2 - 96*a - 27. Let x(u) = 2*u**3 - u**2 - u - 1. Let i(o) = l(o) + 6*x(o). Factor i(z).
-3*(z + 1)**3*(z + 11)
Let g(b) be the second derivative of b**4/6 - 2*b**3 + 4*b**2 + 2*b. Let y(x) = -x**2 + 8*x - 5. Let q = 13 - 8. Let o(v) = q*g(v) + 8*y(v). Factor o(s).
2*s*(s + 2)
Let p(z) = 25*z**3 - 40*z**2 + 64*z - 32. Let b(m) = 3*m**3 - 5*m**2 + 8*m - 4. Let v(l) = 51*b(l) - 6*p(l). Suppose v(r) = 0. What is r?
1, 2
Let i(a) be the first derivative of a**6/60 + a**5/30 - a**2 - 2. Let y(c) be the second derivative of i(c). Solve y(o) = 0 for o.
-1, 0
Let x(s) be the first derivative of s**3 + 10. Factor x(y).
3*y**2
Let w = 4 + -2. Suppose -s**3 + w*s**2 - 2*s**2 - 2*s**5 - s**3 + 4*s**4 = 0. Calculate s.
0, 1
Let -2/3*r + 1 - 1/3*r**2 = 0. Calculate r.
-3, 1
Suppose 3*b = -2*b. Let a(l) be the second derivative of -2/3*l**2 - 1/9*l**3 + 1/18*l**4 + b - l. What is x in a(x) = 0?
-1, 2
Let z = 10 - 7. Factor -4*f**z - 8*f**3 + f**4 + 13*f**3.
f**3*(f + 1)
Determine w, given that -619*w**2 + 2*w**3 + 6*w + 2*w + 627*w**2 = 0.
-2, 0
Let l(r) = r - 2. Let y be l(5). Let z(m) = -3*m**3 - m**2 - 5*m + 5. Let o(w) = 2*w**3 + w**2 + 4*w - 4. Let x(d) = y*z(d) + 4*o(d). Factor x(s).
-(s - 1)**2*(s + 1)
Let u(s) be the third derivative of -s**6/240 - s**5/30 - s**4/12 + 13*s**2. Factor u(y).
-y*(y + 2)**2/2
Let u be ((-140)/(-168))/((-5)/(-4)). Factor -1/3*v**5 + 0 + 1/3*v + 2/3*v**2 - u*v**4 + 0*v**3.
-v*(v - 1)*(v + 1)**3/3
Let m(y) = 2*y**5 - 7*y**3 + 5*y**2 + 5*y - 5. Let v(s) = s**5 - 4*s**3 + 3*s**2 + 3*s - 3. Let z(o) = 6*m(o) - 10*v(o). Factor z(a).
2*a**3*(a - 1)*(a + 1)
Let a(w) = -2*w**3 + 5*w**2 - w - 2. Let s(g) = 5*g**3 - 11*g**2 + 2*g + 4. Let j(m) = 7*a(m) + 3*s(m). Suppose j(y) = 0. What is y?
-2, -1, 1
Suppose 5*r + 15 = 8*r. Let y(s) be the first derivative of 1/12*s**6 + 0*s - 2/5*s**r + 3/4*s**4 - 2 - 2/3*s**3 + 1/4*s**2. What is m in y(m) = 0?
0, 1
Let v(c) be the third derivative of -c**10/6048 - c**9/5040 + c**8/3360 + c**4/24 + 2*c**2. Let u(p) be the second derivative of v(p). What is o in u(o) = 0?
-1, 0, 2/5
Suppose 2*y = 1 - 11. Let p(w) = -6*w**3 - 3*w**2 + 6*w + 21. Let f(g) = 3*g**3 + g**2 - 3*g - 11. Let m(u) = y*p(u) - 9*f(u). Suppose m(c) = 0. Calculate c.
-2, -1, 1
Let b(f) be the third derivative of f**6/780 + f**5/390 - f**4/156 - f**3/39 + 2*f**2. Let b(i) = 0. Calculate i.
-1, 1
Find b, given that -4 - b**2 - 6*b**2 + 5*b**2 - 6*b = 0.
-2, -1
Let m(w) be the first derivative of -4/5*w - 3/25*w**5 - 1/30*w**6 + 6 + 7/15*w**3 + 0*w**2 + 1/20*w**4. Let m(y) = 0. What is y?
-2, -1, 1
Let c be 1/(2*(-3)/(-90)). Let q(r) = 3*r**4 + 12*r**3 + 15*r**2 - 15. Let l(j) = j**4 + 3*j**3 + 4*j**2 - 4. Let p(s) = c*l(s) - 4*q(s). Factor p(g).
3*g**3*(g - 1)
Let o = 618033/10510 - 9/2102. Let q = o - 3214/55. Factor 0*g**3 + q*g + 0 + 2/11*g**4 - 6/11*g**2.
2*g*(g - 1)**2*(g + 2)/11
Let o(u) = 0*u**3 - 2*u**3 - 3*u - 3*u**2 + u + u**4 + 0*u. Let l(d) = -d**3 - d**2 - d. Let v(a) = -4*l(a) + 2*o(a). Solve v(g) = 0 for g.
-1, 0, 1
Let u be ((-25)/(-24) + -1)*1. Let x(r) be the second derivative of 1/12*r**3 - 2*r - 1/2*r**2 + 0 + u*r**4. Determine i, given that x(i) = 0.
-2, 1
Factor 3/5*u**3 + 12/5*u**2 + 6/5 + 3*u.
3*(u + 1)**2*(u + 2)/5
Let z = -1086 - -1091. Find f such that -f**z + 0 + 9/7*f**4 + 2/7*f - 9/7*f**2 + 5/7*f**3 = 0.
-1, 0, 2/7, 1
Let n(o) = 10*o + 2. Let i be n(-2). Let m be i/(-3 - 3/(-2)). Factor -64*p**3 - 40*p**2 + 11*p**2 - m*p + 3 - 4 - 19*p**2.
-(4*p + 1)**3
Let b(i) = -i**3 - 11*i**2 + 12*i + 3. Let y be b(-12). Let v(t) be the first derivative of -1 + 4/9*t**y + 0*t + 1/6*t**2. Factor v(d).
d*(4*d + 1)/3
Solve -5*l + 46*l**4 + 0*l**5 + 1 + 9*l**5 - 6*l**4 - 5*l**2 + 7*l**5 + 25*l**3 = 0 for l.
-1, 1/4
Let q(f) be the second derivative of -3*f**5/110 - 5*f**4/66 - f**3/33 + f**2/11 + 3*f. Suppose q(n) = 0. Calculate n.
-1, 1/3
Let 125*p**3 - 34*p**2 + 159*p**2 + 46*p + 100*p**2 + 27 + 89*p = 0. What is p?
-3/5
Let c = 340 - 1694/5. Factor 3/5 + 3/5*s**2 - c*s.
3*(s - 1)**2/5
Let 3*o + 3/2*o**2 - 12 = 0. Calculate o.
-4, 2
Let n(k) = k**4 - 3*k**3 + 2*k - 2. Let u(x) = -6*x**4 + 21*x**3 - 15*x + 15. Let a(l) = 15*n(l) + 2*u(l). Solve a(s) = 0 for s.
0, 1
Solve 1/2*h**2 + 3*h + 0 = 0.
-6, 0
Find s, given that -2/3*s**3 + 0*s + 8/3 - 2*s**2 = 0.
-2, 1
Let k(n) be the first derivative of n**4/10 + 9. Factor k(v).
2*v**3/5
Let h(x) = 3*x**3 - 14*x**2 + 5*x + 5. Let k(v) = 3*v**3 - 15*v**2 + 6*v + 6. Let c(r) = 6*h(r) - 5*k(r). Determine n, given that c(n) = 0.
0, 3
Let v = 146 + -1018/7. Solve -2*d**4 + 0*d + v*d**2 - 10/7*d**3 + 0 = 0 for d.
-1, 0, 2/7
Let n(m) be the first derivative of -2/5*m**3 - 3/10*m**2 + 0*m - 3/20*m**4 - 5. Factor n(s).
-3*s*(s + 1)**2/5
Let o(g) be the second derivative of 0 - 1/4*g**5 + 0*g**3 + g + 5/42*g**7 + 1/6*g**4 - 1/15*g**6 + 0*g**2. Let o(s) = 0. What is s?
-1, 0, 2/5, 1
Let m(n) be the second derivative of 15*n**5/4 - 5*n**4/4 - 8*n**3 - 6*n**2 - 12*n. Find w such that m(w) = 0.
-2/5, 1
Let k = 3/233 - 4215/1631. Let t = -47/21 - k. Factor 0 + 1/3*o**2 + 0*o + t*o**4 + 2/3*o**3.
o**2*(o + 1)**2/3
Let l(f) = 5*f**4 - 20*f**3 + 30*f**2 - 15*f + 10. Let r(v) = -5*v**4 + 20*v**3 - 30*v**2 + 14*v - 11. Let x(z) = 6*l(z) + 5*r(z). Factor x(y).
5*(y - 1)**4
Let r be (-12)/(-30) - 6/40. Factor 1/4*y**2 + 0 - r*y**4 + 0*y - 1/4*y**3 + 1/4*y**5.
y**2*(y - 1)**2*(y + 1)/4
Suppose -9*i = -16*i + 84. Suppose -3*k = -14 + 2. Solve 0*m**2 - i*m**5 + 5*m**k - 1/2*m + 15/2*m**3 + 0 = 0 for m.
-1/2, -1/3, 0, 1/4, 1
Let g(t) be the second derivative of 8/45*t**6 - 1/30*t**5 - 1/9*t**4 + 0*t**2 + 0 - t - 5/63*t**7 + 0*t**3. Factor g(y).
-2*y**2*(y - 1)**2*(5*y + 2)/3
Factor 1/8*z + 0 - 1/8*z**3 + 0*z**2.
-z*(z - 1)*(z + 1)/8
Factor 11*v**2 - 4*v**3 - 18*v**2 - 5*v**2 - 4 - 12*v.
-4*(v + 1)**3
Let d = 47/252 - 5/36. Let f(l) be the second derivative of 0 - 1/10*l**5 + 1/45*l**6 - 1/18*l**4 + 0*l**3 + d*l**7 - 2*l + 0*l**2. Let f(m) = 0. Calculate m.
-1, -1/3, 0, 1
Let t(l) = -3*l**2 + 15*l + 72. Let x be t(8). Factor -2*z + x - 5/2*z**3 + 1/2*z**4 + 4*z**2.
z*(z - 2)**2*(z - 1)/2
Factor 1/2 + i + 1/2*i**2.
(i + 1)**2/2
Let c(j) be the second derivative of 2*j + j**2 + 0 - 1/6*j**4 + 1/6*j**3 - 1/20*j**5. Factor c(s).
-(s - 1)*(s + 1)*(s + 2)
Suppose -18*v = -r - 22*v + 14, 4*r = 3*v - 1. Let n(w) be the first derivative of -r - 2/15*w**3 + 2/5*w + 1/5*w**4 - 2/5*w**2. Factor n(x).
2*(x - 1)*(x + 1)*(2*x - 1)/5
Let x(b) = -5*b**3 + 2*b**2 + 6*b. Let h(i) = -9*i**3 + 4*i**2 + 11*i. Let p(v) = -6*h(v) + 11*x(v). Let p(r) = 0. Calculate r.
-2, 0
Let a(v) = v**2 - 59*v + 272. Let y be a(54). Factor -1/4*z**y - 3/4 - z.
-(z + 1)*(z + 3)/4
Let o(q) = -q**3 + 4*q**2 - 4*q. Let t be o(2). Let f(x) be the first derivative of 4 - 2/3*x**3 + 0*x + t*x**2 + 1/2*x**4. Factor f(d).
2*d**2*(d - 1)
Let q(i) be the first derivative of i**4/4 + i**3/3 - 27. Determine r so that q(r) = 0.
-1, 0
Let a = 11 + -9. Suppose 18 = 4*w + a*n, -4*n - n - 7 = -3*w. Solve 2/7*f**5 + 2/7*f + 8/7*f**w + 12/7*f**3 + 8/7*f**2 + 0 = 0.
-1, 0
Let -6*b**2 - 12*b**5 + 14*b**4 + 7*b**3 + 2 + 5*b**3 - 10*b**2 = 0. Calculate b.
-1, -1/3, 1/2, 1
Suppose 4*n = 2*v - 24, -6 = n - 2. Let r = v - 2. Factor -f**2 + f**3 + 4*f**4 + f**2 - r*f**3.
f**3*(4*f - 1)
Let r(f) be the 