ive of 0 + 5/72*r**4 + 25/18*r**3 - 12*r + 125/12*r**2. Factor v(w).
5*(w + 5)**2/6
Let h(o) be the third derivative of o**7/560 - o**6/60 - o**5/80 + o**4/4 - 13*o**3/2 - 41*o**2. Let z(j) be the first derivative of h(j). Factor z(q).
3*(q - 4)*(q - 1)*(q + 1)/2
Let n be 42/96 - (-15)/(-35). Let l(o) be the third derivative of 0*o**6 + 0*o**3 + 0 + 0*o**4 + n*o**8 + 0*o**5 - 5*o**2 + 0*o + 1/70*o**7. Factor l(d).
3*d**4*(d + 1)
Let h(x) be the third derivative of -2/15*x**3 + 0 + 6*x**2 + 0*x - 1/15*x**4 - 1/75*x**5. Factor h(v).
-4*(v + 1)**2/5
Suppose 3*i + 11 = 8. Let k(d) = -3*d**3 + 48*d**2 - 144*d - 192. Let n(g) = -g**2. Let p(h) = i*k(h) - 3*n(h). Suppose p(w) = 0. Calculate w.
-1, 8
Let c(z) be the first derivative of -z**4/20 - 8*z**3/15 - z**2/2 + 10*z - 26. Suppose c(k) = 0. What is k?
-5, 2
Let z(c) be the second derivative of c**6/180 - c**3/6 + 4*c. Let v(u) be the second derivative of z(u). Factor v(t).
2*t**2
Let t(y) = 91*y**2 - 29*y**2 - 41*y**2 + 3*y + 6. Let z(p) = -p**2 + p - 1. Let a(d) = t(d) + 12*z(d). Factor a(i).
3*(i + 2)*(3*i - 1)
Let y(w) = w**2 + 8. Let r(t) be the first derivative of -2*t**3 + t**2/2 - 40*t - 10. Let l(g) = -2*r(g) - 11*y(g). Factor l(j).
(j - 4)*(j + 2)
Let j(o) be the third derivative of 0*o + 0 - 1/105*o**5 + 11*o**2 - 2/21*o**4 + 10/21*o**3. Find q, given that j(q) = 0.
-5, 1
Suppose 0 = -5*j - j - 3*j. Let f(u) be the third derivative of 0*u - 1/9*u**3 - 1/360*u**5 + 1/36*u**4 + j - 6*u**2. Solve f(v) = 0.
2
Let o(x) be the third derivative of -x**7/525 + 7*x**6/75 - 6*x**5/5 + 104*x**4/15 - 64*x**3/3 - 382*x**2. Find r such that o(r) = 0.
2, 4, 20
Let h(r) = -36*r**2 - 56*r - 20. Let q = 17 + -33. Let s(f) = -7*f**2 - 11*f - 4. Let c(v) = q*s(v) + 3*h(v). Suppose c(g) = 0. Calculate g.
-1
Let p = 340 + -340. Let i(l) be the second derivative of 3*l + p + 3/20*l**5 - 1/2*l**4 + 0*l**3 + 0*l**2. Let i(n) = 0. Calculate n.
0, 2
Let m(v) = 11*v**4 - 17*v**3 - 14*v**2 + 10*v + 2. Let z(a) = -23*a**4 + 35*a**3 + 29*a**2 - 19*a - 5. Let i(s) = -5*m(s) - 2*z(s). Let i(k) = 0. What is k?
-1, 0, 2/3, 2
Let h(g) be the second derivative of 3*g**5/20 + g**4 - 2*g**3 - 24*g**2 - 2*g - 55. Find a such that h(a) = 0.
-4, -2, 2
Let h(p) be the second derivative of 3*p**5/40 + 55*p. Suppose h(c) = 0. Calculate c.
0
Let i(u) be the second derivative of u**7/84 - u**6/10 + 3*u**5/10 - 5*u**4/12 + u**3/4 - 123*u. Factor i(j).
j*(j - 3)*(j - 1)**3/2
Suppose -v - 3*f = 2*v - 3, -3*v = -2*f + 17. Let c be 11/v - (-17 - -12). Factor 28/3*x + 49/3*x**2 + c.
(7*x + 2)**2/3
Let l(c) = 0*c + c + 14 + 0 - 2. Let x be l(-10). Factor 4 - 12*i + 4 + x + 2 + 3*i**2.
3*(i - 2)**2
Let c be (6/45)/(-5 - (-115)/15). Let x(g) be the third derivative of 1/4*g**4 + 0 + 4*g**2 + 0*g - c*g**5 - 1/2*g**3. Factor x(j).
-3*(j - 1)**2
Let i(y) be the second derivative of 2*y**7/147 + y**6/6 + 111*y**5/140 + 73*y**4/42 + 26*y**3/21 - 12*y**2/7 + 365*y. What is z in i(z) = 0?
-3, -2, 1/4
Let m(h) = -1 - 2*h - 4 + 3. Let w be m(-2). Factor 7*r**2 + r**3 + 3 - 1 - r + r**2 - 10*r**w.
(r - 2)*(r - 1)*(r + 1)
Let j(n) be the third derivative of 0*n + 11/45*n**5 + 0 - 1/36*n**6 + 59*n**2 + 17/36*n**4 - 10/9*n**3. Factor j(x).
-2*(x - 5)*(x + 1)*(5*x - 2)/3
Let r be (-33)/11 - (-141)/45. Let z(u) be the first derivative of 1/5*u**2 + r*u**3 - 4/5*u + 1. Factor z(f).
2*(f - 1)*(f + 2)/5
Let g(p) be the second derivative of 0 - 4/3*p**2 - 1/18*p**4 - 4/9*p**3 - 46*p. Factor g(d).
-2*(d + 2)**2/3
Let f(y) be the second derivative of 6*y**7/7 - 34*y**6/5 + 19*y**5/5 + 59*y**4/3 - 32*y**3/3 - 40*y**2 + y + 122. Solve f(c) = 0.
-2/3, 1, 5
Let l(i) be the first derivative of 1/3*i**3 - 2/3*i**2 - 18 + 4/9*i. Suppose l(t) = 0. Calculate t.
2/3
Solve -276/7*u + 6348/7 + 3/7*u**2 = 0.
46
Let l(z) be the third derivative of -1/630*z**7 + 0*z**3 + 1/180*z**6 - z**2 + 0*z**5 + 0*z + 0*z**4 + 0. Factor l(a).
-a**3*(a - 2)/3
Let c(o) be the second derivative of o**5/240 + o**4/48 - 11*o**2 + 20*o. Let i(a) be the first derivative of c(a). Factor i(b).
b*(b + 2)/4
Let m be 890/14 + 33/77. Let p = 70 - m. Solve p*z**2 - 3 + 21/2*z = 0 for z.
-2, 1/4
Let i = -45 - -47. Factor -23*r - 147 - 55*r - 6*r**2 + 36*r + 3*r**i.
-3*(r + 7)**2
Suppose 36*s + 3/4*s**4 - 27 - 39/4*s**3 + 3/4*s**5 - 3/4*s**2 = 0. Calculate s.
-3, 1, 2
Suppose -141*f - 82 = -182*f. Solve 36/11*n**3 + 0 + 12/11*n**f + 1/11*n = 0.
-1/6, 0
Suppose 4*w = -3*h + 18, 37*h = 2*w + 32*h + 4. Let o(c) be the second derivative of c + 1/42*c**4 - 2/21*c**w + 0 + 1/7*c**2. What is b in o(b) = 0?
1
Let j = 898 + -896. Let b(d) be the second derivative of 3/4*d**4 - 1/2*d**3 + 0 + 1/10*d**6 + 7*d + 0*d**j - 9/20*d**5. Factor b(p).
3*p*(p - 1)**3
Let o(z) be the second derivative of -z**4/78 - z**3/39 - 78*z. Factor o(x).
-2*x*(x + 1)/13
What is c in 8*c**2 + 0*c**2 + 3*c**2 + 3*c**2 - 4*c**3 - 2*c**2 = 0?
0, 3
Factor 2556*v - 6*v**3 - 10*v**2 - 2555*v + 10 + 5*v**3.
-(v - 1)*(v + 1)*(v + 10)
Let o(p) be the third derivative of 9*p**6/40 - p**5/10 - p**2 - 8*p. Factor o(v).
3*v**2*(9*v - 2)
Suppose -2*f - 40 = -48. Let -77*z + f*z**2 + 23*z + 7*z + 23*z = 0. What is z?
0, 6
Let z(g) be the third derivative of 2/105*g**7 + 7/10*g**5 - 22 + g**2 + 25/3*g**3 - 65/12*g**4 + 0*g + 17/60*g**6. Factor z(o).
2*(o - 1)*(o + 5)**2*(2*o - 1)
Let i(k) be the second derivative of -k**7/2520 - k**6/720 + k**5/60 - k**4 - 3*k. Let v(p) be the third derivative of i(p). Find o such that v(o) = 0.
-2, 1
Let k(f) be the first derivative of -f**3 + 28 - 3/2*f**2 + 0*f. Factor k(p).
-3*p*(p + 1)
Let j = 575/14 + -859/21. Solve 0 - 1/3*m - j*m**2 = 0.
-2, 0
Let g(a) = a**2 + 25*a + 63. Let c be g(-14). Let x = c - -91. Solve -m**3 + 0 + x*m**2 + 0*m + 3/2*m**4 - 1/2*m**5 = 0 for m.
0, 1, 2
Let v be (63/(-70))/(((-9)/15)/1). Let d(b) be the first derivative of -3/2*b - 1/2*b**3 + 4 + v*b**2. Suppose d(l) = 0. What is l?
1
Let m(r) be the third derivative of r**5/150 + 7*r**4/30 + 8*r**3/5 - 27*r**2 + 2. Let m(v) = 0. Calculate v.
-12, -2
Suppose 13*n + o = 17 + 17, 2*o = -10. Let k = 6/25 - -13/50. Factor -k*v**5 - 1 + 0*v**4 - 3/2*v + v**2 + 2*v**n.
-(v - 2)*(v - 1)*(v + 1)**3/2
Let m(r) be the first derivative of -r**3/2 - 9*r**2/4 + 15*r - 201. Determine i, given that m(i) = 0.
-5, 2
Let m(y) be the first derivative of y**5/60 + y**4/36 + 2*y + 1. Let b(p) be the first derivative of m(p). Determine q, given that b(q) = 0.
-1, 0
Let z(r) = 3*r - 14. Suppose 0 = -18*f + 15*f + 18. Let j be z(f). Factor -12*d**3 - 18*d**2 - d**4 + 0*d**4 - d**j.
-2*d**2*(d + 3)**2
Let a(q) be the second derivative of q**7/6 - 13*q**6/15 - 86*q**5/5 - 220*q**4/3 - 392*q**3/3 - 80*q**2 + 18*q - 7. Factor a(r).
(r - 10)*(r + 2)**3*(7*r + 2)
Let w(u) = -7*u**4 + 188*u**3 - 410*u**2 + 209*u + 5. Let m(k) = -9*k**4 + 186*k**3 - 411*k**2 + 210*k + 6. Let f(z) = 5*m(z) - 6*w(z). Factor f(h).
-3*h*(h - 1)**2*(h + 68)
Let n be (1/(-9))/((-12)/(-108))*(-1)/2. Find t, given that n*t + 0 - 1/2*t**3 + 0*t**2 = 0.
-1, 0, 1
Let i(d) be the first derivative of -11 + 3/8*d**4 - 15/4*d**2 + 9/2*d + 1/2*d**3. Determine s, given that i(s) = 0.
-3, 1
Let o be (-3 + 20 + -9)/1. Factor 8/3*l**4 + 0 - 8/3*l + o*l**2 + 10*l**3.
2*l*(l + 2)**2*(4*l - 1)/3
Suppose -4*v = -2*z - 12, -5793*v = -2*z - 5794*v + 8. Determine j, given that -3/4*j**z + 21/4 + 9/2*j = 0.
-1, 7
Let i be 4/(-6) + (-14)/(504/(-132)). Let m(o) be the second derivative of o**i - 6*o - 1/8*o**4 + 0 - 3*o**2. Factor m(p).
-3*(p - 2)**2/2
Factor 2*u + 36 - 26*u - 46*u**2 + 3*u**3 + 14*u**2 + 17*u**2.
3*(u - 6)*(u - 1)*(u + 2)
Let q = 525/2 + -4197/16. Let y(i) be the third derivative of -1/40*i**5 - 1/2*i**3 - q*i**4 + 0 + 0*i - 5*i**2. Factor y(t).
-3*(t + 1)*(t + 2)/2
Let h(i) = -2*i**3 + 33*i**2 + 20*i - 26. Let k be h(17). Suppose g + k = -5*x, 4*g - 3*x = 7*g + 15. Let 3/2*r**3 + 3/2*r - 3*r**2 + g = 0. Calculate r.
0, 1
Let a(v) = -30*v**4 - 213*v**3 + 945*v**2 - 1197*v - 21. Let w(b) = -7*b**4 - 53*b**3 + 236*b**2 - 299*b - 5. Let i(g) = 5*a(g) - 21*w(g). Factor i(r).
-3*r*(r - 7)**2*(r - 2)
Let b = -3061 + 3063. Factor -2/3*m**b + 0 - 4/3*m.
-2*m*(m + 2)/3
Let t(m) be the second derivative of -5*m**2 + 25/6*m**3 - 19*m + 0 - m**5 - 5/6*m**4 + 2/3*m**6 - 5/42*m**7. Factor t(u).
-5*(u - 2)*(u