 - l**8/26880 + 13*l**4/24 - 14*l**2. Let s(d) be the second derivative of a(d). Factor s(b).
b**3*(b - 1)/4
Let n(d) = -d**2 - 27*d. Let g be n(0). Factor -4/9*v**2 - 8/3*v + g.
-4*v*(v + 6)/9
Let v = -32953/2 + 16477. Factor -1/2*g + 0 + 0*g**2 + v*g**3.
g*(g - 1)*(g + 1)/2
Let x = 73 + -29. Suppose -12*r = -23*r + x. What is i in i - 2*i**3 - 2/5*i**r + i**5 + 4/5*i**2 - 2/5 = 0?
-1, 2/5, 1
Let j = 12787 - 12784. Find k such that -18/7 - 2/7*k**j + 18/7*k**2 + 2/7*k = 0.
-1, 1, 9
Let f(c) = 4*c**4 - 5*c**3 + 10*c**2 - 3*c. Let q(h) = 13*h**4 - 14*h**3 + 31*h**2 - 9*h. Suppose -11*j + 10*j = 6. Let i(k) = j*q(k) + 21*f(k). Solve i(u) = 0.
0, 1, 3/2
Let q(d) be the first derivative of -d**7/945 + d**5/90 + d**4/54 + 9*d**2/2 + 11. Let r(l) be the second derivative of q(l). What is h in r(h) = 0?
-1, 0, 2
Let x be (-10)/(1*(-6)/3). Suppose x = 3*h - 25. Let -19*j - 3*j**2 + 11*j + j**3 + h*j = 0. Calculate j.
0, 1, 2
Determine a, given that -3*a**2 - 7 - 6 - 1 + 20 - 3*a = 0.
-2, 1
Let p(s) be the second derivative of -s**5/105 - s**4/14 + 20*s**3/21 + 12*s**2 - 33*s. Let a(r) be the first derivative of p(r). Find z, given that a(z) = 0.
-5, 2
Factor 2 + 906*o**3 + o**4 - 3*o**2 + 904*o**3 - 1811*o**3 + o.
(o - 2)*(o - 1)*(o + 1)**2
Factor -24/7*r**4 + 0 - 18/7*r**2 + 0*r - 39/7*r**3 - 3/7*r**5.
-3*r**2*(r + 1)**2*(r + 6)/7
Solve 4410*u**5 + 648*u - 540*u**2 - 4419*u**5 + 17*u**3 - 575*u**3 - 129*u**4 = 0.
-6, -3, 0, 2/3
Let j be 2/(-6)*(0 + 0). Factor 12*p**3 + 3*p**2 - 2*p - 13*p**3 + j*p.
-p*(p - 2)*(p - 1)
Let h be (1 + -2)/(9/387). Let q = h - -46. Factor 3/4*s**2 + 0 - 1/4*s**4 + 0*s**q - 1/2*s.
-s*(s - 1)**2*(s + 2)/4
Suppose 342 = 8*i + 54. Let n be 6/i*-2 + 24/45. Solve n*p + 0*p**2 + 1/5*p**5 + 0*p**4 + 0 - 2/5*p**3 = 0 for p.
-1, 0, 1
Let 4018*a**2 + a**3 + 3*a - 24*a**4 - 5*a + 2*a - 3994*a**2 - a**5 = 0. What is a?
-24, -1, 0, 1
Let a(p) be the second derivative of -p**6/30 - 8*p**5 - 800*p**4 - 128000*p**3/3 - 1280000*p**2 + 8*p + 3. Factor a(o).
-(o + 40)**4
Let f(c) be the third derivative of 0*c**4 + 1/30*c**5 + 13*c**2 + 0*c + 0*c**3 + 0. Determine p so that f(p) = 0.
0
Let a(c) be the third derivative of -c**9/302400 - c**8/50400 - 13*c**5/60 - 6*c**2. Let f(h) be the third derivative of a(h). Factor f(v).
-v**2*(v + 2)/5
Let p(v) be the third derivative of v**5/360 - 13*v**4/48 + 197*v**2. Factor p(s).
s*(s - 39)/6
Let p = -24 + 29. Let c be 11 + ((-2)/(-2) - p). Solve c*d**3 + d**3 - 4*d**5 - 4*d + 3*d**2 + 5*d**2 - 4*d**4 - 4 + 0*d**4 = 0.
-1, 1
Suppose 16 = -4*t, 2*m + 2*t - 157 = -3*m. Factor -2 - m*q**2 - 1 + 4*q + 32*q**2.
-(q - 3)*(q - 1)
Suppose 33*l - 37*l + 264 = 0. Let c = 68 - l. Factor 2 + 25/2*u**c + 10*u.
(5*u + 2)**2/2
Let n(a) be the first derivative of -a**2 + 4*a + 1/2*a**4 - 4/3*a**3 + 16. Factor n(u).
2*(u - 2)*(u - 1)*(u + 1)
Let s = 26 + -24. Determine x so that -120*x**2 + 12*x**5 - 8*x + 16*x**3 + 156*x**s - 4*x**4 - 52*x**3 = 0.
-2, 0, 1/3, 1
Let f(p) be the first derivative of -p**5 - 15*p**4/4 + 10*p**2 + 34. Factor f(k).
-5*k*(k - 1)*(k + 2)**2
Let g(z) be the third derivative of z**8/40320 + z**7/2016 + z**6/360 + 7*z**5/20 + 13*z**2 - 2. Let q(x) be the third derivative of g(x). Factor q(a).
(a + 1)*(a + 4)/2
Let t(a) be the second derivative of 3*a**5/4 - 10*a**4/3 - 25*a**3/6 + 15*a**2 + 20*a + 1. Find h such that t(h) = 0.
-1, 2/3, 3
Let a(n) = -8*n**2 + 4*n - 8. Let p(w) = w**2 + 1. Let z = 19 - 21. Let y(c) = z*a(c) - 20*p(c). Factor y(d).
-4*(d + 1)**2
Let i(n) = n**4 - 35*n**3 - 6*n**2 + 48*n + 8. Let o(r) = -r**3 + 3*r**2 - r + 1. Let d(p) = -3*i(p) + 24*o(p). Let d(v) = 0. What is v?
-2, 0, 1, 28
Suppose -15 = -2*n - 3*n + 5*c, 5*c = -n + 9. Factor -2/9*p**3 + 2/9*p**5 + 0 + 0*p**2 + 0*p**n + 0*p.
2*p**3*(p - 1)*(p + 1)/9
Suppose 1/5*y**2 - 3/5 - 2/5*y = 0. What is y?
-1, 3
Let h(s) be the third derivative of -s**6/180 + s**5/80 + 2*s**3 - 27*s**2. Let z(l) be the first derivative of h(l). Let z(y) = 0. What is y?
0, 3/4
Let m = 74/3 - 443/18. Let n(k) be the second derivative of 5*k + m*k**3 + 0 + 0*k**2 - 1/24*k**5 - 1/24*k**4. Find v, given that n(v) = 0.
-1, 0, 2/5
Let f(t) be the second derivative of 2*t + 10/21*t**7 + 8/5*t**6 + 0*t**2 + 0 + 9/5*t**5 + 2/3*t**4 + 0*t**3. Suppose f(z) = 0. What is z?
-1, -2/5, 0
Let z(o) = -o**2 + o + 1. Let a(g) = -53 - 16 - 5*g**2 + 4*g + 12*g + 11*g. Let r(c) = 2*a(c) - 6*z(c). Find j such that r(j) = 0.
6
Let k(a) be the first derivative of 5*a**4/4 - 15*a**2/2 - 10*a + 16. Let k(b) = 0. What is b?
-1, 2
Let j(n) be the third derivative of 0*n**3 + 0*n + 0 + 1/4*n**4 + 10*n**2 + 3/10*n**5 - 63/80*n**6 - 7/5*n**7. Factor j(c).
-3*c*(4*c - 1)*(7*c + 2)**2/2
Let v = -33/2 + 18. Let d = 6462 - 6460. Find j, given that -v*j + 105/8*j**d - 3/2 = 0.
-2/7, 2/5
Factor 70*z + 346 - 370 + 6*z**4 - 73*z + 38*z**3 + 72*z**2 + 19*z**3.
3*(z + 1)**2*(z + 8)*(2*z - 1)
Let s(c) = 3*c + 42. Let t be s(-14). Suppose -5*y = -6*y + 4. Solve 2/7*g**y + 0 + 4/7*g**3 + t*g + 2/7*g**2 = 0 for g.
-1, 0
Let d(l) = l**3 + 11*l**2 - 12*l. Suppose -5 + 11 = -2*b. Let g(y) = -12*y**2 + 12*y. Let k(m) = b*d(m) - 4*g(m). Factor k(v).
-3*v*(v - 4)*(v - 1)
Let y(b) be the first derivative of 4 - 5*b**3 - 55/2*b**2 - 30*b. Determine m, given that y(m) = 0.
-3, -2/3
Let b = -1821 - -3643/2. What is j in -3/2*j**3 - 5/2*j**2 - j + b*j**4 + 1/2*j**5 + 0 = 0?
-1, 0, 2
Suppose -18*i - 22 = -94. Let u(d) be the second derivative of d + 0*d**2 - 1/273*d**7 + 0*d**3 - 1/78*d**i - 1/65*d**6 + 0 - 3/130*d**5. Factor u(l).
-2*l**2*(l + 1)**3/13
Let k(o) = -45*o**2 - 75*o - 27. Let y = -78 - -75. Let q(r) = 89*r**2 + 151*r + 54. Let j(w) = y*q(w) - 7*k(w). Determine c, given that j(c) = 0.
-3/4
Let g(c) be the third derivative of -c**5/120 + 11*c**4/24 - 7*c**3/4 - c**2 - 21. Find b such that g(b) = 0.
1, 21
Factor 35 - 4*j**2 - 3*j**2 + 20*j - 6*j**2 - 2*j**2.
-5*(j + 1)*(3*j - 7)
Factor -366*l**2 - 2*l + 195*l**2 + 11*l + 195*l**2.
3*l*(8*l + 3)
Let j(m) = -2*m**3 + m**2 + 13*m + 16. Let l = -50 + 55. Let v(o) = -2*o**3 + 2*o**2 + 14*o + 16. Let t(q) = l*v(q) - 6*j(q). Factor t(y).
2*(y - 2)*(y + 2)**2
Let s(d) = 2*d**2 - 1. Let z(t) = 2*t**3 + 52*t**2 + 14*t - 18. Let p(b) = 36*s(b) - 2*z(b). Factor p(f).
-4*f*(f + 1)*(f + 7)
Let c(k) = 2*k**3 - 16*k**2 + 11*k - 8. Let h be c(8). Let u be 2*(-4)/h*-4. Factor -2/5*m + 2/5*m**3 - 2/5*m**2 + u.
2*(m - 1)**2*(m + 1)/5
Let o(c) = 3*c**2 - 2*c + 2. Let v(l) = 5*l - 5. Let m(q) = q - 1. Let a(b) = -11*m(b) + 2*v(b). Let u(d) = -2*a(d) + o(d). Factor u(t).
3*t**2
Factor 242/9 + 2/9*p**2 - 44/9*p.
2*(p - 11)**2/9
Let w(t) be the second derivative of -t**3 - 9*t + 0*t**5 + 0*t**2 + 1/8*t**4 + 0 - 1/120*t**6. Let y(p) be the second derivative of w(p). Solve y(h) = 0.
-1, 1
Suppose 9 = -5*z + 4. Let v = 2 - z. Find k such that -7*k**4 - 5*k + v*k + 10*k**4 + 4*k**3 - k**2 = 0.
-1, 0, 2/3
Let u(l) = l + 3. Let a be u(0). Suppose -m + 1 = 4*m + a*y, 0 = 2*m - 4*y - 16. Factor 4*t**m + t**2 - 3*t**2 + 12*t - 12 - 5*t**2.
-3*(t - 2)**2
Let l(g) = -2*g**3 + 5*g**2 - 7*g + 10. Let c be l(2). Find m such that 0*m**2 + 1/3*m**4 + 0 + c*m + 2/3*m**3 = 0.
-2, 0
Factor -52/5*x**3 + 0 - 4/5*x**4 + 0*x - 48/5*x**2.
-4*x**2*(x + 1)*(x + 12)/5
Let g(j) be the second derivative of -8/3*j**3 - 21/5*j**5 + 0 + 0*j**2 + 98/15*j**6 - 8*j - 8*j**4. Let g(k) = 0. What is k?
-2/7, 0, 1
Let -8/5*f - 1/5*f**4 + 2/5*f**3 + 4/5*f**2 + 0 = 0. What is f?
-2, 0, 2
Let 20/19 + 34/19*a - 2/19*a**5 - 16/19*a**4 - 4/19*a**2 - 32/19*a**3 = 0. What is a?
-5, -2, -1, 1
Let l(r) = -r**4 - 9*r**3 - 17*r**2 + 25*r - 13. Let t(u) = 16 - 42*u**2 - 75 + 62*u - 22*u**3 + 9 + 18 - 2*u**4. Let q(g) = -12*l(g) + 5*t(g). Factor q(m).
2*(m - 1)**3*(m + 2)
Let d(j) be the first derivative of j**5/150 + j**4/30 + j**3/15 - 11*j**2/2 + 15. Let y(a) be the second derivative of d(a). Solve y(p) = 0.
-1
Factor 10/3 - 17*i - 11/3*i**5 + 104/3*i**2 + 18*i**4 - 106/3*i**3.
-(i - 1)**4*(11*i - 10)/3
Suppose -6*i + 2 = -5*i. Solve 4*s**3 + 5*s**4 - 2*s**2 + 11*s**3 + 12*s**i = 0.
-2, -1, 0
Factor -4 + 23/3*m - 1/3*m**3 - 10/3*m**2.
-(m - 1)**2*(m + 12)/3
Factor 0 - 1/9*v**3 - 74/9*v - 25/3*v**2.
-v*(v + 1)*(v + 74)/9
Let f(y) be the third derivative of y**8/42 - y**7/105 - y**6/24 - y**5/60 + 11*y**2 -