?
-4, 0
Determine l so that -35 + 84*l**4 - 49*l**2 + 243/2*l + 5/2*l**5 - 124*l**3 = 0.
-35, -1, 2/5, 1
Let b(p) be the second derivative of p**7/6300 - p**6/360 + p**5/75 - 11*p**4/12 - 11*p. Let l(d) be the third derivative of b(d). Find h such that l(h) = 0.
1, 4
Let j be 0 - 38/(-40) - 126/168. Factor 16/5 + j*u**2 + 8/5*u.
(u + 4)**2/5
Suppose -4*y + 121 = -11. Let n be (0 + 6/y)*256. Factor -n - 2/11*i**4 - 32/11*i**3 - 512/11*i - 192/11*i**2.
-2*(i + 4)**4/11
Let x(d) be the first derivative of 2*d**3/57 + 14*d**2/19 - 81. Let x(c) = 0. Calculate c.
-14, 0
Let y be ((-28)/42)/((-1)/3). Factor 0*z**2 - 15 + 19 + 4*z**y - 8*z.
4*(z - 1)**2
Let d(q) = 2*q**3 + 6*q**2 - 7*q - 22. Let s be d(-2). Factor 0*w - 3/5*w**3 + s*w**2 + 0.
-3*w**3/5
Let l(d) be the first derivative of -32*d**6/9 - 2864*d**5/15 - 42481*d**4/12 - 22805*d**3 + 17775*d**2/2 - 1125*d - 461. Factor l(u).
-(u + 15)**3*(8*u - 1)**2/3
Let y(d) be the third derivative of 1/1080*d**6 + 0*d + 1/270*d**5 - 1/216*d**4 - 3*d**2 + 0 - 1/27*d**3. Factor y(b).
(b - 1)*(b + 1)*(b + 2)/9
Solve 0 - 1/3*o**3 - 25/3*o + 10/3*o**2 = 0 for o.
0, 5
Suppose -6*q + 3 = -21. Let r(s) be the first derivative of -1/2*s**q + 4/3*s**3 - 4*s + s**2 - 5. Factor r(w).
-2*(w - 2)*(w - 1)*(w + 1)
Factor 64 - 72*r - 1/4*r**3 + 33/4*r**2.
-(r - 16)**2*(r - 1)/4
Let w(x) = -11*x**4 - 48*x**3 - 272*x**2 - 576*x - 440. Let p(z) = 7*z**4 + 32*z**3 + 181*z**2 + 384*z + 293. Let n(l) = -8*p(l) - 5*w(l). Factor n(t).
-(t + 2)**2*(t + 6)**2
Let l be (8*(-4)/192)/(1/(-15)). Factor 3/2*i - 3/2*i**3 + 1/2 - l*i**2 + 2*i**4.
(i - 1)**2*(i + 1)*(4*i + 1)/2
Let j(x) be the third derivative of -x**5/12 + 25*x**4/24 - 5*x**3 - x**2 + 1. Factor j(n).
-5*(n - 3)*(n - 2)
Let r(u) = u - 4. Let p be r(-6). Let v be ((-3)/(-2))/(p/(-20)). Let 24*d - 12 - 9*d**3 - 30*d**3 - 6*d**v + 33*d**2 = 0. What is d?
-2/3, 2/5, 1
Let c(j) = j**2 - 15*j + 14. Let u be c(14). Suppose u = 2*y + 2*y - 8. Suppose -2*a**3 + 6*a**2 - 6*a + 0 + y - 2 + 2 = 0. Calculate a.
1
Let q(o) be the first derivative of -o**5 - 7*o**4/3 - 4*o**3/3 - 33*o - 16. Let r(a) be the first derivative of q(a). Factor r(d).
-4*d*(d + 1)*(5*d + 2)
Factor 2530*v + 144*v**2 + 13*v**4 - 32*v**3 - 502*v + 51*v**2 - 10*v**4 - 34*v**3.
3*v*(v - 13)**2*(v + 4)
Let o = -1/2368 - -2371/7104. Find i, given that 4/3*i + 4/3 + o*i**2 = 0.
-2
Let v(c) be the first derivative of 4/3*c**3 + 0*c - 3/5*c**5 + 0*c**2 + 0*c**4 + 1/6*c**6 + 27. Factor v(d).
d**2*(d - 2)**2*(d + 1)
Let g(j) be the first derivative of -2*j**5/5 + 37*j**4/2 + 78*j**3 + 119*j**2 + 80*j + 160. Factor g(n).
-2*(n - 40)*(n + 1)**3
Factor -2*x**5 + 5*x**4 + 30*x**4 + 150*x**3 - 2*x**5 - x**5.
-5*x**3*(x - 10)*(x + 3)
Suppose 7*d - 136 - 375 = 0. Let t = d - 73. Factor -1/3*a**3 - 2/3*a**2 - 1/3*a + t.
-a*(a + 1)**2/3
Let m(v) be the second derivative of 3*v**5/20 - 7*v**4/4 + 3*v**3 - 160*v. Determine s, given that m(s) = 0.
0, 1, 6
Suppose 3*c - 4 = 4*c. Let b = 11 + c. Factor -4 + 3*m**2 + 5 - 3*m - b.
3*(m - 2)*(m + 1)
Let a(v) be the first derivative of -4/5*v**5 - 2*v**4 + 9 + 0*v**2 + 0*v - 4/3*v**3. Factor a(l).
-4*l**2*(l + 1)**2
Let u = 114 - 338/3. Let l(d) be the first derivative of 0*d**3 + d**2 - 1/6*d**4 - 2 + u*d. Factor l(t).
-2*(t - 2)*(t + 1)**2/3
Let t(f) be the third derivative of f**8/1680 - f**7/35 + 9*f**6/20 + 5*f**4/24 - 5*f**3/6 + 19*f**2. Let a(o) be the second derivative of t(o). Factor a(l).
4*l*(l - 9)**2
Let u(o) = -o**3 + 60*o**2 + 137*o - 805. Let n be u(62). Factor n + 1/3*r**2 - 4/3*r.
(r - 3)*(r - 1)/3
Let k(m) be the third derivative of 29/260*m**6 + 1/13*m**4 + 6/65*m**7 - 7/312*m**8 + 0*m - 38/195*m**5 + 0*m**3 + 0 + 29*m**2. What is x in k(x) = 0?
-1, 0, 2/7, 3
Let n(i) be the second derivative of 0*i**2 + 3/100*i**5 + 0 + 1/10*i**3 + 15*i + 1/10*i**4. Factor n(k).
3*k*(k + 1)**2/5
Let g(h) be the second derivative of -1/10*h**5 - 18*h + 0 + 2/3*h**3 + 0*h**2 + 1/6*h**4. Factor g(z).
-2*z*(z - 2)*(z + 1)
Suppose -3*o - 4*l - 5 = 0, 83*l - 84*l - 4 = -2*o. Let c(q) be the first derivative of -1/7*q**3 - o - 3/7*q + 3/7*q**2. Factor c(a).
-3*(a - 1)**2/7
Let 0 + 3/2*m**2 + 3/4*m**3 + 0*m - 3/4*m**4 = 0. Calculate m.
-1, 0, 2
Suppose 2*p - 5*v + 447 = 0, 0 = -4*p + 4*v - 3*v - 921. Let a be 88/p - 4/(-6). Factor -2/7*m + a*m**3 + 0*m**2 + 0.
2*m*(m - 1)*(m + 1)/7
Let l(w) be the first derivative of -3*w**6/10 + 39*w**5/25 + 39*w**4/20 - 13*w**3/5 - 3*w**2 - 423. Find q, given that l(q) = 0.
-1, -2/3, 0, 1, 5
Let a(d) be the first derivative of d**2/2 + 19. Let j(n) = -5*n**4 - 30*n**3 - 25*n**2 + 6*n. Let x(o) = 6*a(o) - j(o). Factor x(y).
5*y**2*(y + 1)*(y + 5)
Let c = 78 + -382/5. What is w in 8/5*w - c*w**3 - 4/5 + 4/5*w**4 + 0*w**2 = 0?
-1, 1
Suppose -5*k = -3*h - 6, -h + 9 = k + h. Let r(l) be the third derivative of -1/18*l**4 + 11*l**2 + 0*l + 1/360*l**6 - 1/180*l**5 + 0 + 2/9*l**k. Factor r(s).
(s - 2)*(s - 1)*(s + 2)/3
Let a(n) be the third derivative of 1/100*n**6 - 29*n**2 + 0 + 0*n**3 + 4/75*n**5 + 4/45*n**4 + 1/1575*n**7 + 0*n. Factor a(p).
2*p*(p + 1)*(p + 4)**2/15
Let z(n) be the second derivative of -n**4/60 - 3*n**3/10 - 7*n**2/5 + 84*n + 1. Factor z(h).
-(h + 2)*(h + 7)/5
Let b(l) be the first derivative of 11 + l**3 + 1/4*l**4 + 0*l**2 + 0*l. Factor b(y).
y**2*(y + 3)
Let d be (-30)/(-9) + 1/(-3). Suppose -d*b + 14 = 2. Solve 2*m + 2*m**2 + 4*m**3 + m**b - 3*m**2 + 6*m**2 = 0.
-2, -1, 0
Let u be 2/((-67)/(-14) + (-16)/56 + -2). Let -4*w**3 - u*w**2 + 0*w + 0 = 0. Calculate w.
-1/5, 0
Let b be ((-3)/2 - -1)*(2 - 2). Let v(f) be the third derivative of -1/39*f**4 - 5*f**2 + 0 + 1/13*f**3 + b*f + 1/390*f**5. Factor v(t).
2*(t - 3)*(t - 1)/13
Let t be (-117)/(-45) - 3/5. Suppose 0 = -7*g + t*g - 3*p - 15, 15 = -3*g - 3*p. Suppose 1/5*d**2 + 6/5*d**3 + 0 + g*d = 0. Calculate d.
-1/6, 0
Let w = -13493 - -13496. Factor 0 + z - 3/2*z**w - 1/2*z**2.
-z*(z + 1)*(3*z - 2)/2
Let b = 2/27 - -77/54. Let x = -21473 + 42947/2. Let r + b - x*r**2 = 0. Calculate r.
-1, 3
Let t = 6475/19398 - 3/6466. Factor -t*i**4 - 8/3*i**2 + 0 + 0*i - 2*i**3.
-i**2*(i + 2)*(i + 4)/3
Let s(c) be the third derivative of -c**8/1008 + c**7/63 - c**6/12 + 15*c**4/8 - 9*c**3 - 11*c**2 + 4. Find l, given that s(l) = 0.
-2, 3
Let a(g) be the second derivative of g**6/12 - 11*g**5/4 - 5*g**4/8 + 85*g**3/3 - 55*g**2 - 71*g. Find p such that a(p) = 0.
-2, 1, 22
Find y, given that 6/5*y**4 + 58/5*y**3 + 36*y**2 + 64/5 + 192/5*y = 0.
-4, -1, -2/3
Find i such that i**3 + 0*i**5 - i**5 - 6*i**3 - 12*i**4 + 2*i**4 + 4*i**4 = 0.
-5, -1, 0
Let d(r) = -6*r**2 + 33*r - 16. Let z(v) = -1. Let u(p) = -d(p) + z(p). Let u(l) = 0. What is l?
1/2, 5
Let h(y) be the third derivative of 0 + 0*y + 1/32*y**4 + 3*y**2 - 1/4*y**3 + 1/80*y**5. Factor h(k).
3*(k - 1)*(k + 2)/4
Let s be (-30)/(-36)*(-176)/(-55). Suppose s + 2*g - 2/3*g**2 = 0. Calculate g.
-1, 4
Suppose 3*b + b - 32 = 0. Find n such that 3*n**3 - 13*n + 4*n**2 + n - b*n**2 + 13*n**2 = 0.
-4, 0, 1
Suppose -y + 4*k - 6 = 0, 2*k = -4*y - 0*y - 6. Let g be y/9 + 152/36. Let 1/2*r - 1/2*r**3 + 0 - 1/2*r**2 + 1/2*r**g = 0. Calculate r.
-1, 0, 1
Let d(s) be the first derivative of -2*s**3/21 + 96*s**2/7 - 4608*s/7 + 370. Find v such that d(v) = 0.
48
Let g be 979/710 + -1 - 36/90. Let o = 257/1278 - g. Factor -o*d**2 + 0 - 2/9*d.
-2*d*(d + 1)/9
Let n(w) = 5*w**2 + 80*w + 75. Let u(t) = 3*t**2 + 41*t + 38. Let c(m) = 4*n(m) - 7*u(m). What is y in c(y) = 0?
-1, 34
Let -4/5*m**2 + 16/5*m**4 + 0*m - 26/5*m**3 + 14/5*m**5 + 0 = 0. Calculate m.
-2, -1/7, 0, 1
Let v(g) be the first derivative of 2*g**5/35 - 9*g**4/14 + 10*g**3/7 + 25*g**2/7 - 344. Solve v(w) = 0.
-1, 0, 5
Suppose -7*p = 12 - 75. Factor -20*b - p + 36 + 3*b**2 + 2*b.
3*(b - 3)**2
Let v(o) be the third derivative of o**7/63 + 17*o**6/180 + o**5/15 + 154*o**2. Factor v(i).
2*i**2*(i + 3)*(5*i + 2)/3
Let w be (-4)/(-13) - (-10516)/6214. Find y, given that -80/3*y + 16/3*y**w + 100/3 = 0.
5/2
Suppose 14 + 26 = 4*v. Suppose o + 4*o = v. Factor -20*n**2 - 16 - 11 + 17*n**o - 18*n.
-3*(n + 3)**2
Solve -168*m**2 + 16355 + 4*m**3 + 1764*m - 16355 = 0.
0, 21
Let n(c) be the second derivative of 8/5*c**3 + 3/5*c**5 + 8*c + 0 + 7/75*c**6 + 4/5*c**2 + 43/30*c**4. What is m in n(m) = 0?
-2, -1, -2/7
Suppose 0*o +