ive of -3*j**4/4 + 17*j**3 + 696*j**2 + 6336*j + 7462. Factor y(g).
-3*(g - 33)*(g + 8)**2
Let k(w) be the third derivative of 0*w**4 + 2*w**2 + 0*w + 0 + 1/1440*w**6 - 1/480*w**5 + 5/2*w**3. Let b(c) be the first derivative of k(c). Factor b(j).
j*(j - 1)/4
Let w(p) be the first derivative of -2*p**3/39 - 5944*p**2/13 - 17665568*p/13 - 308. Factor w(m).
-2*(m + 2972)**2/13
Let k(i) be the second derivative of 2/15*i**3 + 15 - 1/75*i**6 - i + 1/5*i**2 - 1/25*i**5 + 0*i**4. Solve k(j) = 0 for j.
-1, 1
Let r = -2867 + 2870. Let o(w) be the second derivative of 5/6*w**r - 5/42*w**7 + 1/3*w**6 - 5/6*w**4 + 0*w**2 + 0 - 3*w + 0*w**5. Find n, given that o(n) = 0.
-1, 0, 1
Let p(v) be the third derivative of 5/2*v**4 + 0*v**3 + 0 + 224*v**2 + 1/45*v**5 + 0*v. Factor p(o).
4*o*(o + 45)/3
Suppose -21 = 5*d + 19. Let f(g) = -5*g**2 - 34*g + 7. Let y(t) = 2*t**2 + 12*t - 2. Let w(c) = d*y(c) - 3*f(c). Factor w(h).
-(h - 5)*(h - 1)
Let r(g) be the third derivative of 1/336*g**8 - 2*g**2 + 151*g + 0*g**7 + 2/3*g**3 - 5/8*g**4 + 0 + 1/3*g**5 - 1/12*g**6. Solve r(t) = 0 for t.
-4, 1
Let i(w) be the third derivative of 0 + 25/24*w**6 + 20/3*w**3 - 15/2*w**4 + 0*w + 5/2*w**5 - 24*w**2. Let i(o) = 0. What is o?
-2, 2/5
Let j(z) = 790*z + 142203. Let g be j(-180). Factor -8/5*p + 1/5*p**4 - 6/5*p**2 + 0 + 3/5*p**g.
p*(p - 2)*(p + 1)*(p + 4)/5
Suppose 3*u - t + 6 = -12, u - 3*t - 2 = 0. Let w be (2/u)/((-216)/378). Factor 1/4*l**3 - l**2 - w + 5/4*l.
(l - 2)*(l - 1)**2/4
Let r(x) be the third derivative of 11/90*x**5 + x - 1/126*x**7 + 46*x**2 + 0 - 37/72*x**4 + 1/60*x**6 - 1/1008*x**8 + 5/6*x**3. Solve r(t) = 0.
-5, -3, 1
What is k in -44*k**2 - 35*k**4 + 39*k**4 + 44*k**2 + 2*k**3 + 2*k**5 = 0?
-1, 0
Solve 1/4*b**2 - 129/4*b + 125 = 0.
4, 125
Let n(p) = -p**2 - 19*p + 122. Let m be n(5). Let 7*c**m - 2*c**2 - 409*c + 249*c = 0. What is c?
0, 32
Let r(f) be the third derivative of f**7/6300 - f**6/300 - 7*f**4/4 - f**3/3 - 80*f**2. Let o(t) be the second derivative of r(t). Determine y so that o(y) = 0.
0, 6
Let z(g) be the third derivative of g**7/525 - 7*g**6/150 + 61*g**5/150 - 7*g**4/5 + 12*g**3/5 + 832*g**2. Let z(c) = 0. What is c?
1, 6
Let i(b) be the second derivative of -b**6/15 + 11*b**5/10 + 109*b**4/6 - 119*b**3/3 + 3*b - 470. Factor i(v).
-2*v*(v - 17)*(v - 1)*(v + 7)
Let d(k) be the second derivative of -k**5/10 + 145*k**4/2 - 21025*k**3 + 3048625*k**2 + 329*k. What is o in d(o) = 0?
145
Suppose v = -i + 450, 3*i - 6*v - 1315 = -2*v. Suppose 452*o - i*o - 21 = 0. Solve -9/2*c - 39/8*c**2 - 3/8*c**4 - 3/2 - 9/4*c**o = 0 for c.
-2, -1
Suppose -4*y - 2 = -2*c, -y - 2*y + 1 = -c. Factor c*m**5 - 316*m**4 + 140*m**2 - 120*m + 157*m**4 - 30*m**3 + 144*m**4.
5*m*(m - 2)**3*(m + 3)
Determine z, given that 12613*z + 58*z**2 - 6273*z - 62*z**2 - 6305*z - 111*z**2 = 0.
0, 7/23
Let t(b) be the first derivative of -3*b**5/4 - 95*b**4/12 - 35*b**3/2 - 25*b**2/2 - 93*b - 11. Let s(k) be the first derivative of t(k). Factor s(j).
-5*(j + 1)*(j + 5)*(3*j + 1)
Let t(v) = -v**5 + v**4 + v**3. Let x = -129 - -130. Let g(h) = 3*h**5 - 3*h**4 - 32*h**3 - 76*h**2 - 56*h. Let p(a) = x*g(a) + 2*t(a). Factor p(z).
z*(z - 7)*(z + 2)**3
Factor 20577000000/7 - 32490000/7*w - 3/7*w**3 + 17100/7*w**2.
-3*(w - 1900)**3/7
Suppose 4*k + 1364 = 2*f, -3*k - 213 = -f + 812. Let l = -341 - k. Solve -4 + 16/5*c + 4/5*c**l = 0.
-5, 1
Let o = -811 - -811. Let v be (7 + o)/(217/93). Factor 0 + 1/5*g**4 + 0*g**2 + 1/5*g**v + 0*g.
g**3*(g + 1)/5
Determine r, given that -2/3*r**3 - 76/3*r + 16 + 10*r**2 = 0.
1, 2, 12
Let h(c) be the second derivative of 1/12*c**4 - 28*c + 0*c**2 + 0 + 1/20*c**5 + 0*c**3. Solve h(k) = 0 for k.
-1, 0
Let b(r) be the first derivative of -r**3/3 + 16*r**2 - 175*r + 2462. Factor b(j).
-(j - 25)*(j - 7)
Let r(t) be the first derivative of t**4/7 + 44*t**3/3 + 148*t**2/7 - 608*t/7 - 214. Factor r(k).
4*(k - 1)*(k + 2)*(k + 76)/7
Let p(f) be the first derivative of -f**5/5 + 107*f**4/4 + 221*f**3/3 - 327*f**2/2 + 7663. Factor p(q).
-q*(q - 109)*(q - 1)*(q + 3)
Let p(r) be the second derivative of -r**5/12 + 5*r**4/3 + 114*r**2 + 109*r. Let i(s) be the first derivative of p(s). Factor i(b).
-5*b*(b - 8)
Let x(h) be the first derivative of 4*h**5/15 + 4*h**4 + 64*h**3/3 + 160*h**2/3 + 64*h - 1842. Suppose x(a) = 0. What is a?
-6, -2
Factor -1/3*z**4 - 107*z**2 - 10*z**3 - 1420/3*z - 700.
-(z + 3)*(z + 7)*(z + 10)**2/3
Let s(n) = 28*n**2 + 1572*n - 208. Let g(y) = -y**2 - 5*y + 8. Let v(f) = 52*g(f) + 2*s(f). Factor v(a).
4*a*(a + 721)
Let f be 1/1*((-7)/1 + 7). Let d(m) be the second derivative of -2/3*m**6 - 10/3*m**4 - 2*m**2 - 2*m**5 + 6*m - 2/21*m**7 - 10/3*m**3 + f. Solve d(b) = 0 for b.
-1
Let q(k) be the second derivative of 56/33*k**4 + k - 3 - 1/231*k**7 - 6/11*k**5 + 0*k**2 + 13/165*k**6 - 64/33*k**3. What is o in q(o) = 0?
0, 1, 4
Let s = -11 - -14. Let q = 15519/5 - 46552/15. Solve 0 + 0*d**s - 1/3*d**2 + 0*d + q*d**4 = 0 for d.
-1, 0, 1
Let m = -136189 + 2859971/21. Factor m*d - 16/21 + 16/21*d**2 - 2/21*d**3.
-2*(d - 8)*(d - 1)*(d + 1)/21
Let j(y) be the third derivative of 49*y**6/480 - 301*y**5/120 - 95*y**4/8 - 21*y**3 - 769*y**2. Solve j(t) = 0 for t.
-6/7, 14
Determine d so that 352*d**2 - d**3 + 71 - 116*d - 473*d**2 - 571 + 612*d = 0.
-125, 2
Let i(j) be the first derivative of j**5/2 + 145*j**4/8 - 1505*j**3/2 + 35035*j**2/4 - 42875*j - 6977. Factor i(b).
5*(b - 7)**3*(b + 50)/2
Let g(b) be the second derivative of b**7/315 - b**6/36 + b**5/15 + b**4/9 - 98*b**3/3 + 2*b - 113. Let z(u) be the second derivative of g(u). Factor z(k).
2*(k - 2)**2*(4*k + 1)/3
Factor 28185*v + 4*v**5 - 576*v**2 + 480*v**3 + 92*v**4 - 28185*v.
4*v**2*(v - 1)*(v + 12)**2
Suppose 0 = 3*l + 2*b - 6, -49*b - 22 + 18 = -2*l. Let p = 107/30 + -16/15. Determine j, given that j - 1/2*j**4 + l*j**3 - p*j**2 + 0 = 0.
0, 1, 2
Let v(x) be the third derivative of x**6/270 + x**5/10 + 19*x**4/36 + 22*x**3/27 + 302*x**2. Factor v(c).
2*(c + 2)*(c + 11)*(2*c + 1)/9
Factor 2825*m - 48*m**2 - 34*m**2 - 2830 + 46*m**2 + 41*m**2.
5*(m - 1)*(m + 566)
Let u = 319 - 292. Let k be 27/(-6)*(-3)/u. Factor 1/2*i**2 + k*i**3 + 0*i + 0.
i**2*(i + 1)/2
Let j be (6 + 267/(-45))*(-27 - -39). Solve 28/5*q**2 - j*q + 4/5*q**3 - 28/5 = 0.
-7, -1, 1
Let t be (-24)/16*4 - 0. Let u = -6 - t. Solve u + 3*p - 3*p**3 - 9/2*p**2 = 0 for p.
-2, 0, 1/2
Factor -1176 + 8*s**2 + 70*s - 1/2*s**3.
-(s - 14)**2*(s + 12)/2
Let c(a) = -a**3 - 20*a**2 + a. Let k(s) = -3*s**5 + 66*s**4 - 129*s**3 - 3132*s**2 - 5274*s. Let l(t) = -18*c(t) + k(t). Factor l(x).
-3*x*(x - 14)**2*(x + 3)**2
Factor 3/4*l**3 + 0*l**2 + 0 + 0*l - 1/8*l**4.
-l**3*(l - 6)/8
Let b(s) be the third derivative of -s**6/270 + 22*s**5/135 - 125*s**4/54 + 208*s**3/27 + 4520*s**2. Solve b(t) = 0.
1, 8, 13
Solve -41/8*p**2 + 3/4*p**3 + 0 - 7/8*p = 0.
-1/6, 0, 7
Let p(w) = w**3 + w**2 + 8*w + 20. Let o be p(-2). Let z = 179 + -177. Solve o + 1/3*x**z + x = 0 for x.
-3, 0
Suppose 12*p - 9*p + 15 = 0, 2*r = p + 1215. Let m = 608 - r. Factor -6/7*n + 3*n**m - 15/7*n**2 + 0.
3*n*(n - 1)*(7*n + 2)/7
Suppose 39 = 22*y - 93. Let l be ((-6)/1)/(1 + -2). Determine m so that 6*m + l + y - 32*m + 243*m**2 - 82*m = 0.
2/9
Let x(v) be the second derivative of v**7/11340 - 5*v**5/108 - 21*v**4/2 + v**3/3 - 189*v - 1. Let q(u) be the third derivative of x(u). Factor q(n).
2*(n - 5)*(n + 5)/9
Let a(r) be the first derivative of 2*r**7/35 - 7*r**6/15 + 13*r**5/15 + r**4 - 4*r**2 - 36. Let j(t) be the second derivative of a(t). Factor j(h).
4*h*(h - 3)*(h - 2)*(3*h + 1)
Factor 26/9*j**4 - 80/9*j**3 + 2/9 + 28/3*j**2 - 32/9*j.
2*(j - 1)**3*(13*j - 1)/9
Let -3*s**5 + 1003*s**4 - 1224*s - 276*s + 4806*s**2 - 31*s**4 - 420*s - 3855*s**3 = 0. What is s?
0, 1, 2, 320
Suppose 118098000 + 2/9*o**3 + 437400*o + 540*o**2 = 0. Calculate o.
-810
Let n(h) be the first derivative of 2*h**6/3 + 368*h**5/5 + 90*h**4 - 368*h**3/3 - 182*h**2 + 75. Let n(r) = 0. What is r?
-91, -1, 0, 1
What is v in -3 + 12675*v**2 + 2 - 1188*v**4 + 1191*v**4 - 390*v**3 + 1 = 0?
0, 65
Let t(b) be the second derivative of -1/150*b**6 + 0*b**2 - 1/15*b**4 + 1/20*b**5 - 26*b - 2 + 0*b**3. Determine d, given that t(d) = 0.
0, 1, 4
Let x(y) = y**2 - 2*y - 1. Let f(c) = -11*c**2 + 38*c + 1. Let h(d) = -f(d) - 6*