*l**2 + 6668*l**3 + l**5 + 7*l**5 - 6412*l**3 + 130*l**4 = 0. Calculate l.
-3, -2, 1/2
Let u(p) be the first derivative of p**3/12 - 1379*p**2/4 + 9463. Factor u(o).
o*(o - 2758)/4
Suppose -3*g - 14 = -c - 2*g, -70 = -5*c - g. Suppose -y + 3*y = -5*j + 13, 0 = y - 5*j - c. Factor -8 + 4*l + 35*l + 152 + y*l + 4*l**2.
4*(l + 6)**2
Factor 0 - 4/3*l + 185/3*l**2 - 46/3*l**3.
-l*(l - 4)*(46*l - 1)/3
Suppose -60 = -5*b - 45. Factor -25*o**3 - 4*o**2 + 0 - 8*o**2 - 8 + 23*o**b - 18*o.
-2*(o + 1)**2*(o + 4)
Factor 1/6*w**4 + 101/6*w**2 - 17 - 103/6*w**3 + 103/6*w.
(w - 102)*(w - 1)**2*(w + 1)/6
Let t(m) be the second derivative of 484/7*m**2 - 57*m - 44/21*m**3 + 0 + 1/42*m**4. Factor t(l).
2*(l - 22)**2/7
Let r(l) be the second derivative of l**6/120 - 7*l**5/60 + 7*l**4/12 - 4*l**3/3 + 38*l**2 + 245*l. Let j(p) be the first derivative of r(p). Factor j(o).
(o - 4)*(o - 2)*(o - 1)
Let z(n) be the second derivative of n**4/21 - 6*n**3/7 - 272*n**2/7 - 299*n - 1. Find w such that z(w) = 0.
-8, 17
Let a(w) be the first derivative of -w**6/36 - w**5/24 + 5*w**4/72 + 5*w**3/36 - 54*w - 22. Let x(d) be the first derivative of a(d). Factor x(l).
-5*l*(l - 1)*(l + 1)**2/6
Let c = -8613 - -60292/7. Let x(t) be the second derivative of 1/42*t**3 - c*t**2 + 0 + 12*t + 1/84*t**4. Factor x(g).
(g - 1)*(g + 2)/7
Let q(r) = 3*r**4 - 271*r**3 + 5434*r**2 + 43218*r - 5. Let y(f) = -3*f**4 + 272*f**3 - 5435*f**2 - 43218*f + 4. Let u(g) = -4*q(g) - 5*y(g). Factor u(d).
3*d*(d - 49)**2*(d + 6)
Let r = 991 + -1087. Let i be r/(-36) + 12/9. Find s, given that 3*s + 7/3*s**3 + 0 - 5*s**2 - 1/3*s**i = 0.
0, 1, 3
Let t(m) be the first derivative of 7*m**5/60 - 17*m**4/48 + m**3/4 + 2*m**2 - 4*m - 20. Let o(y) be the second derivative of t(y). What is d in o(d) = 0?
3/14, 1
Suppose -p + 1 = -a, -106879*p + 106878*p = 3*a - 5. Find r, given that 28/3*r - 26/3 - 2/3*r**p = 0.
1, 13
Let d(k) be the second derivative of -k**6/120 - 7*k**5/16 + k**4/4 + 109*k**3/6 + 70*k**2 + k + 246. Factor d(b).
-(b - 4)*(b + 2)**2*(b + 35)/4
Suppose -5*i + 5*w - 35 + 360 = 0, -118 = -2*i - 4*w. Let m be ((-7)/i)/(2/(-12)). Factor 2*j**3 + 0 + 2/3*j - m*j**4 - 2*j**2.
-2*j*(j - 1)**3/3
Let t(v) be the third derivative of -2/15*v**3 + 0 - 7/300*v**6 - 13/100*v**5 + 0*v - 168*v**2 - 1/5*v**4. Solve t(k) = 0.
-2, -1/2, -2/7
Let j be (-32)/304*950/(-50). Let -5/2*f**3 - 6*f**4 + 9/2*f**5 + 0 - 2*f + 6*f**j = 0. What is f?
-1, 0, 2/3, 1
Let j(a) be the third derivative of a**7/2940 - a**6/210 - 27*a**3/2 + 2*a**2 - 34. Let h(m) be the first derivative of j(m). Solve h(k) = 0.
0, 6
Let u(b) be the first derivative of -2*b**3/27 - 1100*b**2/3 - 605000*b + 3523. Factor u(r).
-2*(r + 1650)**2/9
Let l(i) be the second derivative of i**6/210 - 33*i**5/28 + 2907*i**4/28 - 42237*i**3/14 - 555579*i**2/7 - 147*i + 7. Factor l(s).
(s - 57)**3*(s + 6)/7
Factor -184/3*o - 127/6*o**2 - 1/6*o**3 + 248/3.
-(o - 1)*(o + 4)*(o + 124)/6
Factor 65*v**4 + 392255*v**3 - 60*v**2 - 392250*v**3 + 4*v - 4*v.
5*v**2*(v + 1)*(13*v - 12)
Let v(l) be the third derivative of -l**5/390 - 49*l**4/13 - 28812*l**3/13 - 1057*l**2. What is i in v(i) = 0?
-294
Let y be 18*5/2*33/495. Suppose -2 + 3 = 2*j - l, 3*l = -4*j + 17. Find s, given that 2*s + 8*s**2 + s**4 - 2*s**y - 3*s**2 - 6*s**j = 0.
-1, 0, 1, 2
Let d(p) be the second derivative of -7/2*p**2 + 2*p + 1/6*p**3 - 19 - 1/80*p**5 + 7/48*p**4. Factor d(i).
-(i - 7)*(i - 2)*(i + 2)/4
Find r such that -52*r**2 - 22379 + 182*r + 2*r**3 + 45780 - 22813 = 0.
-2, 7, 21
Suppose -25 = -o + 3*v - 73, -o = 3*v + 36. Let h be 4/12*(-63)/o. Solve h - 9/8*x + 3/4*x**2 - 1/8*x**3 = 0 for x.
1, 4
Let a(o) = -20*o**3 - 4884*o**2 + 20*o + 4920. Let v(d) = 5*d**3 + 1222*d**2 - 5*d - 1230. Let w(j) = -2*a(j) - 9*v(j). Factor w(b).
-5*(b - 1)*(b + 1)*(b + 246)
Let d(p) be the third derivative of p**6/24 - 71*p**5/12 + 255*p**4 + 1080*p**3 + 12*p**2 + 9*p. Factor d(q).
5*(q - 36)**2*(q + 1)
Let q(v) = v**5 + 3*v**4 + v**3 - 5*v**2 - 10*v + 5. Let g(s) = 2*s**4 - s**3 - s**2 - 2*s + 1. Let m(b) = -20*g(b) + 4*q(b). Factor m(r).
4*r**3*(r - 6)*(r - 1)
Let r(b) be the third derivative of b**5/12 + 245*b**4/3 + 1945*b**3/2 - 7*b**2 - 359. Find a, given that r(a) = 0.
-389, -3
Let m(s) be the second derivative of -s**4/6 - 292*s**3/3 - 867*s**2 - 136*s - 10. Find j, given that m(j) = 0.
-289, -3
Let y = 220 + -218. Let t(m) = -12*m**4 + 5*m**3 + 2*m**2 - 4*m. Let d(n) = -n**4 + n**3 + n**2. Let q(j) = y*t(j) - 22*d(j). Factor q(k).
-2*k*(k + 1)**2*(k + 4)
Let l(b) = -51*b**2 + 414*b - 654. Let a(q) = 7*q**2 - 59*q + 94. Let s(p) = 15*a(p) + 2*l(p). Find u such that s(u) = 0.
2, 17
Let z be 1 + 6/(12/(-26)). Let r be z/(-2) - 51/12. What is s in -r*s - 1/2*s**2 + 1 = 0?
-4, 1/2
Let j = -873585 - -3494343/4. Suppose -3/4*i**4 + j*i**2 + 3/4*i - 3/4*i**3 + 0 = 0. What is i?
-1, 0, 1
Let s be (1/9)/(((-2)/6)/(28 + (-261)/9)). Let -3/2*a + 2/3*a**3 + 5/6*a**5 + 2*a**4 - s - 5/3*a**2 = 0. Calculate a.
-1, -2/5, 1
Let c(x) be the third derivative of x**5/360 - 151*x**4/144 + 149*x**3/18 + 22*x**2 + 64. Factor c(m).
(m - 149)*(m - 2)/6
Let 0 + 12*i + 2/17*i**3 - 106/17*i**2 = 0. Calculate i.
0, 2, 51
Let x(q) be the second derivative of q**5/90 + q**4 + 36*q**3 - 15*q**2 + 57*q. Let k(f) be the first derivative of x(f). Find b, given that k(b) = 0.
-18
Let y(o) be the first derivative of -18 + 4/3*o**3 + 0*o - 14*o**2. Factor y(j).
4*j*(j - 7)
Let k(p) = p**3 + 3995*p + 20102. Let b be k(-5). Solve 2/7*f**b - 18/7*f + 0 = 0 for f.
0, 9
Let n be (-49)/7 - (-1386)/(-56). Let y = n - -1183/36. Factor -8/9 + 2/9*w**3 - y*w**2 + 16/9*w.
2*(w - 2)**2*(w - 1)/9
Let q = 8565 - 162603/19. Factor -q*r + 2/19*r**2 + 2178/19.
2*(r - 33)**2/19
Let g(l) = -5*l**2 + 25*l + 27. Let p(o) = -68 - 17*o - 8 + 10*o**2 + 21 - 33*o. Suppose -12 = 12*c - 8*c. Let v(z) = c*p(z) - 5*g(z). Factor v(i).
-5*(i - 6)*(i + 1)
Let u(c) = 6*c**2 - 66*c + 360. Let w(h) be the first derivative of -11/3*h**3 - 721*h + 30 + 66*h**2. Let f(x) = -5*u(x) - 3*w(x). Factor f(j).
3*(j - 11)**2
Let n(b) be the second derivative of b**7/126 + b**6/6 + 13*b**5/20 - 55*b**4/36 + 229*b. Solve n(s) = 0 for s.
-11, -5, 0, 1
Let w(o) = -o**3 - 4*o**2 + 10*o - 8. Let i be w(-6). Factor -q**5 + 3*q + 12*q**3 + 2*q**5 + 3*q**4 + 23*q**2 - 9*q**i - 33*q**2.
q*(q - 3)*(q - 1)**3
Let r(z) be the second derivative of -52061535*z**4/4 + 18630*z**3 - 10*z**2 - 5570*z. Factor r(d).
-5*(5589*d - 2)**2
Let h(j) be the third derivative of -j**5/12 - 1165*j**4/24 + 4*j**2 - 128*j. Suppose h(t) = 0. Calculate t.
-233, 0
Suppose -18 = -2*y - 4. Let l be y + -3 - 2 - 2. Factor 2/7*f**5 - 2/7*f**4 + 0 + 0*f**2 + 0*f + l*f**3.
2*f**4*(f - 1)/7
Let b = -5058 - -5079. What is l in 3/2*l**5 + 0 - 11*l**4 + 26*l**3 + 9/2*l - b*l**2 = 0?
0, 1/3, 1, 3
Let n(c) be the first derivative of 10*c**5 - 255*c**4/4 + 25*c**3/3 + 459. Let n(z) = 0. What is z?
0, 1/10, 5
Let j = -15904 + 15934. Let g(a) be the third derivative of -8/9*a**3 + 10/9*a**4 + 0 - 23/45*a**5 + 0*a - j*a**2 + 7/90*a**6. Factor g(v).
4*(v - 2)*(v - 1)*(7*v - 2)/3
Let z(a) be the third derivative of -2/15*a**4 + 8/15*a**3 - 1 + 9*a**2 + 0*a - 1/25*a**5. Factor z(f).
-4*(f + 2)*(3*f - 2)/5
Let n be (4 - (2 + -5)) + 3*1. Let v be (120/45)/(3/(144/n)). Factor -v - 4/5*h**3 - 32/5*h + 28/5*h**2.
-4*(h - 4)**2*(h + 1)/5
Let l(d) = -d**3 - 11*d + 6. Let b(f) be the third derivative of f**4/2 - 4*f**3/3 + f**2 + 5. Let z(u) = -3*b(u) - 2*l(u). Factor z(x).
2*(x - 2)*(x - 1)*(x + 3)
Let m(r) be the second derivative of -r**5/80 - 3*r**4/8 - 11*r**3/8 + 121*r**2/2 - 750*r. Factor m(c).
-(c - 4)*(c + 11)**2/4
Factor -1662/7*y - 2/7*y**2 - 1660/7.
-2*(y + 1)*(y + 830)/7
Suppose -24*x + 56 = -256. Let b(k) be the first derivative of -2/3*k**3 - 1/3*k**6 + 0*k + x + 1/2*k**4 + 2/5*k**5 + 0*k**2. Let b(w) = 0. What is w?
-1, 0, 1
Factor 240/7*j**2 + 0 + 3/7*j**3 + 4800/7*j.
3*j*(j + 40)**2/7
Suppose 615*o - 747 - 484 = -1. Let 4/7 - 8/7*n**o - 2/7*n + 6/7*n**3 = 0. What is n?
-2/3, 1
Factor 1/5*i**2 + 114/5 - 23*i.
(i - 114)*(i - 1)/5
Let b(y) be the first derivative of -3*y**5/50 - y**4/8 - y**2/2 + 14*y - 58. Let t(w) be the second derivative of b(w). Determine j so that t(j) = 0.
-5/6, 0
Solve 0*p - 90*p**2 + 0 + 717/4*p**3 - 177/2