et v(k) be the second derivative of a(k). Factor v(q).
-(q + 1)**3*(3*q - 1)/5
Let i = 34 - 22. Factor -8*j + 4*j**3 - i*j + 16*j.
4*j*(j - 1)*(j + 1)
Suppose 2*z + 5 = -2*r - 3, -5*r = 4*z + 21. Let c be (39/(-65))/(1/r). Determine b, given that 0*b**c - 4/5*b**2 + 2/5*b + 4/5*b**4 + 0 - 2/5*b**5 = 0.
-1, 0, 1
Find d such that 8 + 30*d - 14*d + 4*d**4 - 8*d**2 - 12*d - 4*d**2 - 4*d**3 = 0.
-1, 1, 2
Let l be (-6)/(5/(10/(-3))). Factor 0*h**2 + 0 + 0*h**l + 4/7*h**3 - 2/7*h**5 - 2/7*h.
-2*h*(h - 1)**2*(h + 1)**2/7
Let u(k) = -5*k**3 - 2*k**2 - k. Let h be u(-1). Factor -s**2 + 6*s - 5*s**2 + h*s**2 - 2*s - 2.
-2*(s - 1)**2
Let p(g) be the third derivative of -g**9/68040 + g**8/30240 + g**7/11340 - g**6/3240 - g**4/3 - 8*g**2. Let l(a) be the second derivative of p(a). Factor l(b).
-2*b*(b - 1)**2*(b + 1)/9
Let v be 5 - 3 - (-98)/4. Let l = -26 + v. Factor 0 - 3/4*i**4 - l*i**3 + 1/4*i**2 + 0*i.
-i**2*(i + 1)*(3*i - 1)/4
Let o(u) be the second derivative of u**7/210 - u**6/30 + 7*u**5/100 - u**4/20 + 11*u. Let o(n) = 0. What is n?
0, 1, 3
Let q(u) = -5*u + 2*u - u - 2*u + 5 + 3*u**2. Let j(a) = 2*a**2 - 6*a + 4. Let t(i) = -5*j(i) + 4*q(i). Factor t(s).
2*s*(s + 3)
Let z(y) = y**2 - 14*y + 40. Let d be z(10). Let t(m) be the second derivative of 1/75*m**6 + 0*m**5 + d*m**3 + 1/5*m**2 - 1/15*m**4 + 0 - 3*m. Factor t(f).
2*(f - 1)**2*(f + 1)**2/5
Let l(s) = s**2 + 8*s. Let o be l(-8). Suppose 0 = -o*w + 2*w - 6. Determine c, given that -3*c**2 + c**2 - c**4 + w*c**2 = 0.
-1, 0, 1
Suppose -4*l = -0*g + 4*g - 116, 0 = 3*g - 2*l - 62. Factor -2 - g*v**2 + 16*v**3 - 15*v - 13*v**3 + 13*v**3.
(v - 2)*(4*v + 1)**2
Let x(r) be the first derivative of -16*r**5/5 + 7*r**4 + 8*r**3/3 + 22. Suppose x(i) = 0. What is i?
-1/4, 0, 2
Let m be 60/45*3/1. Factor 7 + 2*c**3 + 2*c**2 - m*c - 3 - 4.
2*c*(c - 1)*(c + 2)
Suppose 2 = -3*z + 11. What is s in -3*s**3 - 4*s + 3*s - z*s**4 - 3*s**2 - 2*s**4 + 4*s**4 = 0?
-1, 0
Let x(v) be the third derivative of -1/60*v**6 + 0 - 1/168*v**8 + 2*v**2 + 0*v + 0*v**5 + 0*v**3 - 2/105*v**7 + 0*v**4. Determine l so that x(l) = 0.
-1, 0
Factor 18 - 3*s**4 + 3*s**2 - 18.
-3*s**2*(s - 1)*(s + 1)
Let m(i) = -i**4 - 3*i**3 + 5*i**2 - i + 2. Let c(n) = -n**4 - 4*n**3 + 5*n**2 + 3. Let a(d) = -2*c(d) + 3*m(d). Factor a(z).
-z*(z - 1)**2*(z + 3)
Let h(f) be the first derivative of -f**7/14 + 3*f**6/50 + 9*f**5/25 + f**4/5 - 4*f + 5. Let j(o) be the first derivative of h(o). Solve j(u) = 0 for u.
-1, -2/5, 0, 2
Let s(q) be the third derivative of -9*q**5/20 + q**4/2 - 2*q**3/9 - 36*q**2. Factor s(d).
-(9*d - 2)**2/3
Let i(h) = h**3 - h**2 - 1. Let r be i(2). Suppose 2*k = -k + 6. Let -g**r - k*g**2 + 0*g**3 - 5*g**3 = 0. Calculate g.
-1/3, 0
Let b be (-3)/2*(0 - 2). Let p be 1/b*(6 + 0). Suppose z**2 + 5*z**p - 4*z**2 - z**3 - z = 0. Calculate z.
0, 1
Suppose 5*v - 19 = -y, -6*y + 2*y + 12 = 4*v. Suppose v*f + c = 9, 4*f - 3*c = 2*c + 3. Find i, given that f*i + 2*i**2 + 2*i**4 - 14/3*i**3 - 4/3 = 0.
-2/3, 1
Suppose -22*w - 33 = -121. Factor 3/2*j**2 + 0*j - 3/4*j**w - 3/4*j**3 + 0.
-3*j**2*(j - 1)*(j + 2)/4
Suppose s = 5*k + 5, -5*k = -0*k + s - 5. Let v(i) be the first derivative of 0*i**3 + 1/10*i**4 + 1 + k*i**2 + 0*i. Factor v(z).
2*z**3/5
Suppose 4*g + 70 = -4*h + 18, -3*h = -g + 39. Let u = -11 - h. Solve 4/3 - 2*s - 4/3*s**u + 2*s**3 = 0 for s.
-1, 2/3, 1
Let j = 497 - 3991/8. Let i = j - -61/24. Determine h, given that -i*h**3 + 0 + 2/3*h + 0*h**2 = 0.
-1, 0, 1
Let i(v) = -13*v**3 - 7*v**2 + 5*v + 4. Let u(h) = 19*h**3 + 11*h**2 - 7*h - 6. Let n(q) = 7*i(q) + 5*u(q). Determine w so that n(w) = 0.
-1, 1/2
Let l(x) = 2*x**3 - x**2 - 12*x + 9. Let n(u) = -u**3 + u**2 + 6*u - 4. Let f(d) = -4*l(d) - 9*n(d). Let f(v) = 0. What is v?
-1, 0, 6
Let m(j) be the third derivative of j**6/60 + j**5/15 - j**4/3 - 8*j**3/3 + 29*j**2. Factor m(g).
2*(g - 2)*(g + 2)**2
Let y(w) be the third derivative of w**8/336 - w**7/35 + w**6/10 - 2*w**5/15 - 7*w**2. Determine t so that y(t) = 0.
0, 2
Let v be (40/(-25))/((-4)/10). Suppose 0 = -3*q + q + 4. Factor 2/5 + 4*u**3 + q*u**4 + 2/5*u**5 + 2*u + v*u**2.
2*(u + 1)**5/5
Let y(o) = -11*o**2. Let q(z) = -4*z**2. Let j(g) = g**3 - 10*g**2 + 10*g - 6. Let t be j(9). Let c(f) = t*y(f) - 8*q(f). Factor c(u).
-u**2
Let o(s) = s**2 - s - 1. Let n(h) = 4*h**3 - 12*h**2 + 4*h + 4. Let g(b) = -n(b) - 4*o(b). Factor g(l).
-4*l**2*(l - 2)
Let s(q) be the first derivative of -q**6/1260 - q**5/420 + q**4/42 + 5*q**3/3 - 5. Let z(p) be the third derivative of s(p). Factor z(l).
-2*(l - 1)*(l + 2)/7
Suppose 0 = -7*m + 12*m. Let l(j) be the first derivative of -1/3*j**4 + 5/6*j**6 + m*j - 4/15*j**5 + 0*j**3 + 0*j**2 + 3. Determine r so that l(r) = 0.
-2/5, 0, 2/3
Let g = -3/22 + 31/66. Suppose 2*t = -5*v - 25, t + 10 = 2*t - 2*v. Factor -g*x**2 - 1/3*x + t.
-x*(x + 1)/3
Let r(s) = 3*s**2 + 14*s - 29. Let b(n) = 4*n**2 + 14*n - 30. Let m(y) = -5*b(y) + 6*r(y). Factor m(k).
-2*(k - 4)*(k - 3)
Let c(z) = 4*z**2 - 5*z**2 - 5*z - 4 - 5. Let r be (-4)/6 - (-34)/6. Let x(o) = 2*o + 4. Let d(v) = r*x(v) + 2*c(v). Factor d(i).
-2*(i - 1)*(i + 1)
Let j(x) be the second derivative of 5*x**7/18 + 8*x**6/9 + x**5/3 - 35*x. Let j(z) = 0. Calculate z.
-2, -2/7, 0
Factor 5*r**5 - 6*r**2 - 25*r**4 - 13*r**2 + 40*r**3 - r**2.
5*r**2*(r - 2)**2*(r - 1)
Suppose 5*g = 36 + 34. Let j = -11 + g. Determine f, given that 0*f**2 - 1/3*f + 0 + 1/3*f**j = 0.
-1, 0, 1
Let d be ((-133)/76)/(15/(-12)). Factor 0 + 2/5*k**3 - 7/5*k**2 + d*k**4 - 2/5*k.
k*(k - 1)*(k + 1)*(7*k + 2)/5
Let f = -4259/4 + 1070. Factor -f*y**4 - 9*y**3 + 0 - 9/4*y**2 + 3/2*y.
-3*y*(y + 1)**2*(7*y - 2)/4
Let f be (-75)/(-175) + (-2)/(-28). Factor -k + 1/2 + f*k**2.
(k - 1)**2/2
Let q(f) be the second derivative of -1/150*f**5 + 0*f**4 + 0 + f - 1/2*f**2 + 1/15*f**3. Let z(x) be the first derivative of q(x). Factor z(i).
-2*(i - 1)*(i + 1)/5
Let y(j) be the second derivative of j**6/10 + 4*j**5/5 + 22*j**4/9 + 32*j**3/9 + 8*j**2/3 - 3*j. Factor y(z).
(z + 2)**2*(3*z + 2)**2/3
Let c = -15 - -11. Let a(h) = -13*h**3 - h**2 - 13*h - 9. Let i(m) = 3*m**3 + 3*m + 2. Let q(v) = c*a(v) - 18*i(v). Solve q(w) = 0 for w.
0, 1
Let j(b) be the first derivative of 6/11*b**3 + 2/11*b - 4 - 5/11*b**2 + 4/55*b**5 - 7/22*b**4. Determine h so that j(h) = 0.
1/2, 1
Let g be (-25)/(-5) + (-23)/5. Factor -4/5 + 2/5*u**2 - g*u.
2*(u - 2)*(u + 1)/5
Let k = 97 + -92. Let f(w) be the third derivative of 1/330*w**k + 0 + 0*w + 0*w**3 + 4*w**2 - 1/132*w**4. Factor f(i).
2*i*(i - 1)/11
Let r(y) be the first derivative of 1/4*y**3 + 5 - 3/4*y - 3/16*y**4 + 3/8*y**2. Solve r(d) = 0 for d.
-1, 1
Let y(l) be the second derivative of -l**6/15 - 7*l**5/30 - 5*l**4/18 - l**3/9 + 6*l. Factor y(x).
-2*x*(x + 1)**2*(3*x + 1)/3
Suppose 4*u + 3 = 19. Factor -72*g + 72*g + 4 - u*g**2.
-4*(g - 1)*(g + 1)
Let t(j) be the first derivative of -j**3/6 - j**2/2 - j/2 + 29. Suppose t(a) = 0. Calculate a.
-1
Let z be 3*(0 - 4)*(-1)/54. Factor z*q**3 - 2/9 + 2/3*q - 2/3*q**2.
2*(q - 1)**3/9
Let a(p) be the first derivative of -2*p - 1/4*p**4 + 0*p**3 + 1 + 3/2*p**2. Determine b, given that a(b) = 0.
-2, 1
Let n(u) be the second derivative of -u**6/15 + 4*u**5/5 - 7*u**4/6 - 4*u - 15. Find q, given that n(q) = 0.
0, 1, 7
Let k(f) = -f**3 - 2*f + 2. Let i be k(0). Factor -6/7*p - 4/7 + 18/7*p**i.
2*(3*p - 2)*(3*p + 1)/7
Let v(z) = -z + 1. Let j be v(1). Let k(g) = g. Let m be k(0). Determine f so that -2/7*f**2 + j*f + m = 0.
0
Let i(d) = -d**2 + d - 10. Let c be i(0). Let t be (4/(-70) + 0)*c. Determine w so that 2/7*w**4 - 4/7*w - 2/7*w**2 + 0 + t*w**3 = 0.
-2, -1, 0, 1
Let u(l) be the first derivative of -2/5*l + 2/15*l**3 - 3 + 0*l**2. Let u(t) = 0. Calculate t.
-1, 1
Let d(i) be the third derivative of 0*i + 0*i**4 + 0*i**5 - i**2 + 0*i**3 + 0*i**6 + 0*i**7 + 1/168*i**8 + 0. Factor d(w).
2*w**5
Let v(u) be the first derivative of u**6/60 + u**5/25 - u**4/10 - u**3/15 + 3*u**2/20 + 19. Find l such that v(l) = 0.
-3, -1, 0, 1
Let m = -41 - -26. Let w be 20/6*m/(-10). Find i, given that 5/2*i**3 - i - 1/2*i**4 - 3/2*i**w + 0 + 1/2*i**2 = 0.
-1, 0, 2/3, 1
Let p = -9 - -5. Let w be (-45)/(-12) - 1/p. Factor -w + 0 - 2*a**2 + a + 5*a.
-2*(a - 2)*(a - 1)
Let w = 1/48 - -127/48. Factor 10/3*q + 2/3*q**3 - w*q**2 - 4/3.
2*(q -