)/8*(-126)/315. Let j(p) be the first derivative of 0*p**3 + 0*p - 2 - a*p**2 + 3/4*p**4. Factor j(b).
3*b*(b - 1)*(b + 1)
Let r(i) = 8*i**3 + 10*i**2 + 8*i - 3. Let u(c) = 7*c**3 + 10*c**2 + 7*c - 2. Let k(l) = 2*r(l) - 3*u(l). Factor k(q).
-5*q*(q + 1)**2
Let w(i) = -6*i**2 - 3*i + 3. Suppose 3*l - 12 - 6 = 0. Let q(d) = -d - 2*d + 4 - d**2 - l*d**2. Let m(t) = 5*q(t) - 6*w(t). Factor m(s).
(s + 1)*(s + 2)
Let u(m) be the first derivative of -3/4*m**4 + 3/2*m**2 + 1/3*m**3 + 1/5*m**5 - 2*m - 4. What is s in u(s) = 0?
-1, 1, 2
Let x be (-1)/(-2 - -4 - 26/12). Factor x + 9*u**3 + 36*u + 1 - 7 - 33*u**2 - 12.
3*(u - 2)*(u - 1)*(3*u - 2)
Let y be ((-115)/(-15) + -5)*6/4. Factor -6*p**4 + 4*p**4 + y*p**3 - 7*p**3 - p**3 - 2*p**2.
-2*p**2*(p + 1)**2
Let t(s) = 35*s - 57. Let u be t(2). Let j(k) be the first derivative of k**4 + u - 8/3*k**3 + 0*k + 2*k**2. Factor j(x).
4*x*(x - 1)**2
Let m(b) be the third derivative of -1/1260*b**7 - 37/720*b**6 - 15*b**4 - 48*b**3 + 0 - 13/10*b**5 + 0*b - 58*b**2. Factor m(c).
-(c + 1)*(c + 12)**3/6
Suppose -37*j + 34*j - 2*c - 8 = 0, 7*j + 4*c + 16 = 0. Factor -1/3*l**2 - 4/3*l**3 + 0*l - l**4 + j.
-l**2*(l + 1)*(3*l + 1)/3
Let x(y) = 3*y**2. Let u(m) = 21*m**2 - 87*m + 18. Let o(c) = u(c) + 2*x(c). Find f, given that o(f) = 0.
2/9, 3
Let v(y) be the first derivative of 0*y + 2/21*y**6 + 19 + 16/21*y**3 + 6/7*y**4 - 4/7*y**5 - 16/7*y**2. Factor v(c).
4*c*(c - 2)**3*(c + 1)/7
Let h(r) be the third derivative of r**8/13440 + r**7/1680 + r**5/30 - 3*r**2. Let g(y) be the third derivative of h(y). Let g(q) = 0. Calculate q.
-2, 0
Let k = -262 - -548. Let i = 869/3 - k. Factor -2/3 - i*v**2 + 11/3*v - 5*v**3 + 3*v**4.
(v - 2)*(v + 1)*(3*v - 1)**2/3
Let q(t) = -3*t**4 + t**3 + t**2 - 1. Let u(b) = -6*b**4 + 54*b**3 - 51*b**2 - 3. Let a(j) = 3*q(j) - u(j). Factor a(d).
-3*d**2*(d - 1)*(d + 18)
Let p(s) be the first derivative of 3*s + 1/15*s**2 - 7 + 1/150*s**5 + 1/30*s**4 + 1/15*s**3. Let l(t) be the first derivative of p(t). Let l(v) = 0. What is v?
-1
Let w be 12/8*8/6. Let a = 54 + -20. Let t**4 + a*t - t**2 - 36*t - w*t**2 = 0. Calculate t.
-1, 0, 2
Let m(v) be the third derivative of v**6/180 - 2*v**5/45 - 241*v**2. Determine u so that m(u) = 0.
0, 4
Solve 33/4*i**3 - 19/2*i**2 + 1/2 + 3/4*i = 0.
-2/11, 1/3, 1
Suppose -5*t - 5*b + 15 = 0, -3*b = -5*t - b + 8. Let d(q) be the first derivative of -2/3*q**3 - 81/10*q**5 + 9/2*q**4 - 3 + 0*q**t + 0*q. Factor d(u).
-u**2*(9*u - 2)**2/2
Let r(d) be the third derivative of 3*d**5/20 + 107*d**4/4 - 72*d**3 + 91*d**2. Factor r(g).
3*(g + 72)*(3*g - 2)
Let c(s) be the first derivative of -2*s**3/27 - 4*s**2/3 - 22*s/9 - 29. Let c(f) = 0. What is f?
-11, -1
Factor -2/13*w**2 + 0 + 2/13*w.
-2*w*(w - 1)/13
Let r = 2/97 - -2318/485. Let -r*g**3 - 3/5*g**5 + 18/5*g**2 - 18/5*g**4 + 0 + 27/5*g = 0. What is g?
-3, -1, 0, 1
Let p(o) be the first derivative of -o**8/7560 + o**7/1890 - o**6/1620 + 13*o**3/3 - 9. Let y(x) be the third derivative of p(x). Solve y(s) = 0.
0, 1
Let q = 5708 + -39932/7. What is i in -147*i**3 - q - 126*i**2 - 36*i = 0?
-2/7
Let f = 340/3 - 1018/9. Let -4/9*i**3 + 0 - f*i + i**2 = 0. Calculate i.
0, 1/4, 2
Let k be (-1397)/(-396) + (-406)/232. Suppose 14/9 + 2/9*u**2 - k*u = 0. Calculate u.
1, 7
Suppose -4*d - 6*d = -140. Suppose 13*l = 12 + d. Suppose -4/3*r**l - 1/3 - 4/3*r = 0. Calculate r.
-1/2
Suppose 6*k + 0*k + 72 = 0. Let s(c) = 3*c**2 + 37*c + 12. Let j be s(k). Let -1/6*a + 1/3*a**3 + 0*a**2 - 1/6*a**5 + j*a**4 + 0 = 0. What is a?
-1, 0, 1
Let o(a) be the second derivative of -a**4/3 + 56*a**3/3 + 58*a**2 + 205*a. Factor o(h).
-4*(h - 29)*(h + 1)
Let r(c) = -14*c**2 - 232*c - 20. Let o(h) = -4*h**2 - 77*h - 6. Let u(b) = -10*o(b) + 3*r(b). Factor u(z).
-2*z*(z - 37)
Let f = 8725/2 + -78289/18. Let u = 148/9 - f. Suppose -4/3 - 8/3*c**2 + 2/3*c**3 + u*c = 0. What is c?
1, 2
Let g(n) be the second derivative of 6*n**2 + 1/6*n**4 + 18*n + 0 - 5/3*n**3. Factor g(i).
2*(i - 3)*(i - 2)
Suppose 371 = 38*m + 15*m. Let s(b) be the third derivative of 1/90*b**5 - m*b**2 + 0*b**4 + 0*b - 1/9*b**3 + 0. Factor s(q).
2*(q - 1)*(q + 1)/3
Let y(j) be the second derivative of j**6/90 - j**5/15 + j**4/9 + j + 26. Determine c, given that y(c) = 0.
0, 2
Let l = -929/3 + 311. Let m(f) be the second derivative of -7/24*f**4 - 4*f + 0 - f**2 + l*f**3. Factor m(a).
-(a - 2)*(7*a - 2)/2
Let b(w) be the first derivative of -8*w**3/3 + 53*w**2/3 - 20*w - 333. Find s, given that b(s) = 0.
2/3, 15/4
Let k(q) = 7*q**2 + 23*q - 19. Let l(p) = -2*p**2 - 6*p + 5. Let a = -10 - -4. Let g(j) = a*k(j) - 22*l(j). Factor g(s).
2*(s - 2)*(s - 1)
Let i(p) be the second derivative of -p**4/8 - 15*p**3/4 - 75*p**2/2 - 23*p + 1. Suppose i(b) = 0. What is b?
-10, -5
Let k(u) be the third derivative of -1/8*u**4 + 46*u**2 + 0*u**3 + 7/40*u**6 - 13/70*u**7 + 3/56*u**8 + 0*u + 0 + 1/20*u**5. Let k(s) = 0. Calculate s.
-1/3, 0, 1/2, 1
Let q = 127861/5 - 25572. Determine p so that 0*p - q*p**4 + 1/5*p**5 - 1/5*p**3 + 1/5*p**2 + 0 = 0.
-1, 0, 1
Factor 4*x**4 - 140*x**2 - 78*x - 60*x + 8*x**3 - 144 - 150*x.
4*(x - 6)*(x + 1)**2*(x + 6)
Suppose 36*g - 21 = 43*g. Let k be 114/76 + g/(-1). Solve r**4 + 11/2*r**2 + 0*r - 2 - k*r**3 = 0 for r.
-1/2, 1, 2
Let q be 24/112 + (0/6)/(-4). Let k(t) be the first derivative of 1/7*t**2 + 2/35*t**5 + q*t**4 + 2/7*t**3 + 6 + 0*t. Factor k(p).
2*p*(p + 1)**3/7
Factor -9/2*j + 1/6*j**2 + 0.
j*(j - 27)/6
Let a be ((7 - 10 - -8) + 1)/(-1 + 3). Let 6/19*n**4 + 2/19*n**2 + 6/19*n**a + 2/19*n**5 + 0*n + 0 = 0. Calculate n.
-1, 0
Let c(j) be the second derivative of j**4/90 + j**3/5 - 2*j**2/3 - 4*j + 23. Factor c(l).
2*(l - 1)*(l + 10)/15
Find d, given that -54*d**2 - 25*d**3 - 8 - 10*d**4 + 6*d**4 - 81*d + 37*d = 0.
-2, -1/4
Let j(q) be the second derivative of q**5/30 - q**4/4 + 2*q**3/3 - 3*q**2/2 - 32*q. Let g(x) be the first derivative of j(x). Suppose g(p) = 0. Calculate p.
1, 2
Factor 1/4*x**2 + x + 0.
x*(x + 4)/4
Factor 0 + 0*h - 6/13*h**4 + 8/13*h**2 + 0*h**3 - 2/13*h**5.
-2*h**2*(h - 1)*(h + 2)**2/13
Let a(m) be the third derivative of -4*m**7/105 + m**6/10 + m**5/5 - m**4/3 + 142*m**2. Solve a(j) = 0 for j.
-1, 0, 1/2, 2
Suppose 2*a - 24 = -a. Suppose 3*l + l - a = 0. Factor -2*s**2 - 4*s + 5*s**l - 5*s**2 + 6*s**2.
4*s*(s - 1)
Let d(z) be the third derivative of -8*z**7/525 - 16*z**6/75 - 3*z**5/5 + 27*z**4/10 + 2*z**2 - 39. Suppose d(n) = 0. What is n?
-9/2, 0, 1
Let i(j) be the first derivative of -j**6/3 - 46*j**5/15 - 49*j**4/6 - 34*j**3/9 + 4*j**2 + 671. Let i(t) = 0. What is t?
-4, -3, -1, 0, 1/3
Factor -20/9 - 2/9*n**2 - 22/9*n.
-2*(n + 1)*(n + 10)/9
Suppose 8*t + 90 = 26*t. Let k(p) be the third derivative of 5/16*p**4 + 1/20*p**6 + 0*p + 0 - 1/5*p**t - 1/4*p**3 + 5*p**2. Factor k(h).
3*(h - 1)*(2*h - 1)**2/2
Let f(z) be the third derivative of -2*z**7/105 - z**6/3 - 7*z**5/15 + 3*z**4 + z**2 + 26*z. Factor f(d).
-4*d*(d - 1)*(d + 2)*(d + 9)
Let 3/4*h**4 + 3*h - 21/4*h**3 + 9*h**2 - 12 = 0. What is h?
-1, 2, 4
Let d(c) = -6*c**2 - 29*c + 41. Let i(s) = 4*s**2 + 15*s - 21. Let n(j) = 6*d(j) + 10*i(j). Solve n(q) = 0.
3
Let x(w) be the first derivative of 3/5*w**5 + 0*w**4 + 3*w + 0*w**2 - 8 - 2*w**3. Factor x(r).
3*(r - 1)**2*(r + 1)**2
Suppose t = -y + 5, -2*t - 13 = -7*t - y. Let h(n) be the first derivative of -4 - 3*n**t + 4*n + 1/2*n**4 + 0*n**3. Factor h(k).
2*(k - 1)**2*(k + 2)
Let p = -3607 - -3611. Factor 3/2*l**3 - 3/2*l + 0*l**2 + 3/4 - 3/4*l**p.
-3*(l - 1)**3*(l + 1)/4
Let o(b) = 4*b**2 + 20*b - 4. Suppose -14 = -4*g + 2. Let t(h) = 2*h**2 + 20*h - 3. Let u(d) = g*t(d) - 5*o(d). Let u(f) = 0. Calculate f.
-2, 1/3
Let v = -502 - -508. Let d(x) be the third derivative of 0*x**3 + 0 + 0*x + 1/70*x**7 - x**2 + 0*x**v - 1/20*x**5 + 0*x**4. Factor d(l).
3*l**2*(l - 1)*(l + 1)
Let z(y) = 59*y**3 - 2*y**2 + 1. Let t be z(-1). Let o be (-12)/t + 4/10. What is v in o*v**2 - 2/5*v + 0 - 1/5*v**3 = 0?
0, 1, 2
Factor -6 + 8/3*u**2 - 3*u - 1/3*u**3.
-(u - 6)*(u - 3)*(u + 1)/3
Let r be 5/30 + (-60)/(-504). Factor 0 + 6/7*n**3 + 2/7*n**5 - r*n**2 + 0*n - 6/7*n**4.
2*n**2*(n - 1)**3/7
Factor 9/2*x - 6*x**2 + 2*x**4 + 1/2*x**5 - x**3 + 0.
x*(x - 1)**2*(x + 3)**2/2
Let c(s) be the third derivative of s**5/12 - 5*s**3/6 - 70*s**2. Solve c(b) = 0.
-1, 