3*g + 6 + 8/13*g**3. Solve o(i) = 0 for i.
-4
Solve -14/5*l**2 + 14/5*l + 6/5 - 6/5*l**3 = 0.
-3, -1/3, 1
Let a(p) be the third derivative of p**6/60 - 391*p**5/10 + 152881*p**4/4 - 59776471*p**3/3 + 728*p**2. Determine n so that a(n) = 0.
391
Suppose -3*b**2 - 2069 + 485 + 225440*b - 225032*b = 0. Calculate b.
4, 132
Let l(y) be the third derivative of 0*y**3 - 11*y**2 + 0*y - 3/40*y**6 + 2/3*y**4 + 1/210*y**7 + 5 + 1/10*y**5. Factor l(s).
s*(s - 8)*(s - 2)*(s + 1)
Let n(a) be the second derivative of a**5/20 - 17*a**4/12 - 245*a**3/6 - 675*a**2/2 + 2235*a. Factor n(y).
(y - 27)*(y + 5)**2
Factor 3/8*g**2 + 15/2*g + 63/2.
3*(g + 6)*(g + 14)/8
Let t(p) = 22*p - 61. Let c be t(3). Let g be c/30*(10/2 - 1). Solve -g*d**3 + 5/3*d**4 + 0*d + 0 + 0*d**2 = 0 for d.
0, 2/5
Suppose 4*n + 8 = -4*v, 8 = 2*n + v + 10. Suppose n = 39*m - 28*m - 22. Solve -6*a**4 + a**2 - 3*a + 636*a**5 + 4*a**m + a**2 - 633*a**5 = 0 for a.
-1, 0, 1
Let c(n) be the first derivative of n**6/8 + 9*n**5/10 - 99*n**4/8 - 175*n**3 - 6525*n**2/8 - 3375*n/2 - 799. What is y in c(y) = 0?
-5, -3, 10
Let a(f) be the second derivative of -91*f**4/9 + 107*f**3/36 - f**2/6 + 648*f. Factor a(d).
-(8*d - 1)*(91*d - 2)/6
Let s(m) = 11*m**2 - 29*m - 16. Let f(i) be the third derivative of 7*i**5/60 - 19*i**4/24 - 11*i**3/6 - 75*i**2. Let b(u) = 8*f(u) - 5*s(u). Factor b(o).
(o - 8)*(o + 1)
Let o(j) be the first derivative of -j**9/756 + j**8/210 - j**7/210 - 59*j**3/3 - 3. Let n(w) be the third derivative of o(w). Factor n(g).
-4*g**3*(g - 1)**2
Let i(k) be the third derivative of 71*k**2 + 0*k**3 + 1/210*k**7 + 0*k**4 + 0*k - 1/10*k**5 + 0 + 1/120*k**6. Factor i(v).
v**2*(v - 2)*(v + 3)
Let r be (-1)/(-48)*(26/(-10) - -3). Let w(g) be the third derivative of -r*g**5 - 1/80*g**6 + 0 - 12*g**2 + 0*g + 0*g**3 + 1/16*g**4 + 1/420*g**7. Factor w(c).
c*(c - 3)*(c - 1)*(c + 1)/2
Suppose 0 = 14*l - 10*l - 48, 5*l = 4*w + 40. Factor -25/3*h**3 + 0 - w*h**2 + 15*h - 5/3*h**4.
-5*h*(h - 1)*(h + 3)**2/3
Let o(m) be the second derivative of 7*m**4/12 + 17*m**3/6 - 3*m - 12. Let w(u) = -22*u**2 - 52*u. Let p(v) = 7*o(v) + 2*w(v). Find b such that p(b) = 0.
-3, 0
Factor 52 + 15*r + 1/2*r**2.
(r + 4)*(r + 26)/2
Let v(u) be the third derivative of 0 + 64*u**2 + 0*u**3 + 0*u + 1/6*u**4 + 1/60*u**5. Determine b, given that v(b) = 0.
-4, 0
Let v(b) be the first derivative of -2*b - 5 - b**2 + 1/2*b**4 + 1/10*b**5 + 1/2*b**3. Factor v(r).
(r - 1)*(r + 1)*(r + 2)**2/2
Let o be 40/8 - 5 - 1/(140/(-21)). Let q(z) be the second derivative of -6*z**2 + 0*z**3 + 0 + o*z**5 + 4*z + 3/4*z**4. Determine a so that q(a) = 0.
-2, 1
Let m be (100/(-40))/((-5)/1068). Suppose -520 + m = 7*r. Suppose 1/3*b**3 - 1/3*b + 2/3 + 1/3*b**4 - b**r = 0. Calculate b.
-2, -1, 1
Let s = 18 - 37. Let n(p) = -p**3 - 18*p**2 + 19*p + 2. Let j be n(s). Factor -1 + 18*k**j + 4*k - 23*k**2 + 2.
-(k - 1)*(5*k + 1)
Factor 2*w**3 + 1032*w - 2728 - 433*w**2 - 152 + 245*w**2 + 84*w**2.
2*(w - 40)*(w - 6)**2
Let y(u) be the third derivative of u**7/42 + 79*u**6/40 + 2969*u**5/60 + 1265*u**4/8 + 529*u**3/3 - 30*u**2. Factor y(h).
(h + 1)*(h + 23)**2*(5*h + 2)
Let o = -909682/7 + 129982. Factor 24*w - 6/7*w**3 + 24/7*w**2 + o.
-6*(w - 8)*(w + 2)**2/7
Let f(a) be the first derivative of -3*a**5/5 + 33*a**4/4 - 18*a**3 - 195. Determine k so that f(k) = 0.
0, 2, 9
Let i(d) = 3*d**4 - 103*d**3 + 151*d**2 - 57*d. Let b(y) = -4*y**4 + 102*y**3 - 152*y**2 + 58*y. Let h(t) = 3*b(t) + 2*i(t). Determine o, given that h(o) = 0.
0, 2/3, 1, 15
Find n such that 2600/7 - 320/7*n + 2/7*n**3 - 2*n**2 = 0.
-13, 10
Let o(g) be the first derivative of -g**3/15 - 247*g**2/10 - 246*g/5 + 1624. Find d such that o(d) = 0.
-246, -1
Let f(p) = -8*p**3 + 12*p**2 - 68*p + 44. Let b(v) = 10*v**3 - 12*v**2 + 33*v - 44. Let m(x) = 4*b(x) + 3*f(x). Find q such that m(q) = 0.
-1, 11/4
Suppose -208*i + 153*i - 217*i + 248 + 118*i**2 - 2*i**3 + 640*i = 0. Calculate i.
-2, -1, 62
Let s(m) be the third derivative of -m**5/20 - 153*m**4/4 - 23409*m**3/2 - 190*m**2. Factor s(q).
-3*(q + 153)**2
Let a = 164/343 - -4996/1029. Determine n so that a - 2*n - 1/3*n**2 = 0.
-8, 2
Suppose -3*j + 3 = 0, -4*j = 4*l - 6*l + 2. Factor -6*m**2 + 4*m**l - 3*m**2 + 9*m + m**4 + 28*m**2 + 7*m**3.
m*(m + 1)**2*(m + 9)
Let x(o) = 9*o**2 - 64*o + 251. Let h(m) = 22*m - 223. Let t be h(10). Let l(s) = s**2 + 125 + 4*s**2 - 11*s - 21*s. Let r(k) = t*x(k) + 5*l(k). Factor r(b).
-2*(b - 8)**2
Let m(h) be the second derivative of -h**5/35 + 10*h**4/21 + 58*h**3/7 + 288*h**2/7 - 6*h + 18. Factor m(t).
-4*(t - 16)*(t + 3)**2/7
Suppose -5*a + 3 = 2*q, q + 5 = a + 10. Suppose 2*r + 2*m = -3*r + q, -r + 8 = 4*m. Factor -16/7*y**2 - 4/7*y**3 - 12/7*y + r.
-4*y*(y + 1)*(y + 3)/7
Let s(h) be the third derivative of -7/20*h**6 + 0 - 3*h**4 + 62*h**2 - 20/3*h**3 + 113/30*h**5 + 0*h. Factor s(z).
-2*(z - 5)*(3*z - 2)*(7*z + 2)
Let i be 13 + ((-3)/21)/(52/4004). Factor -20*w**2 + w**3 - 16*w + 1/4*w**5 + i*w**4 + 64.
(w - 2)**2*(w + 4)**3/4
Let r be ((-4)/33)/(24/(-561)). Factor 19/6*c - 7/6 - r*c**2 + 5/6*c**3.
(c - 1)**2*(5*c - 7)/6
Determine r, given that 657*r**2 - 79/3*r**4 + 1507/6*r**3 + 100/3 - 21/2*r**5 + 850/3*r = 0.
-5, -2, -2/7, -2/9, 5
Solve -42 + 13/6*w**2 + 11/3*w**3 + 1/6*w**4 - 30*w = 0.
-21, -2, 3
Suppose 3*a + 35 = 10*a. Suppose 0*d + a = d. Factor 9*p**4 - 14*p**d + 0*p**3 + 9*p**3 + 6*p**5 + 3*p**2 + 11*p**5.
3*p**2*(p + 1)**3
Let t(h) = 2*h**4 - 2*h**3 + h**2 - 1. Let q(s) = 6*s**4 - 17*s**3 + 121*s**2 + 64*s - 64. Let i(z) = q(z) - 4*t(z). What is j in i(j) = 0?
-10, -1, 1/2, 6
Let w(o) = -2*o**3 + 62*o**2 - 59*o - 27. Let r be w(30). Factor 3*n**r - 10*n + 27*n**2 - 10*n**2 - 10*n**2 - 4*n**3.
-n*(n - 5)*(n - 2)
Find v, given that 31083*v**3 + v - 31088*v**3 - v - 125*v**2 = 0.
-25, 0
Let l(j) be the first derivative of -5/2*j**4 + 0*j**3 - 106 + 0*j + j**5 + 0*j**2. Factor l(a).
5*a**3*(a - 2)
Let c(k) be the third derivative of -k**8/2184 + 4*k**7/195 + k**6/13 - 1906*k**2 - 1. Let c(q) = 0. Calculate q.
-2, 0, 30
Let u(h) = h**2 - 13*h - 9. Let z be u(13). Let t be (z - -8)/(2/(-4)). Factor j**t - 309 + 309 - j.
j*(j - 1)
Let m(x) = -5*x + 3. Let p be m(0). Let g be 84/(-315)*(-5)/p. Find b, given that 0 + 2/9*b + g*b**2 + 2/9*b**3 = 0.
-1, 0
Suppose 3*t - 14*r + 8*r = 24, 12 = 3*t - 3*r. Find z, given that 4/5*z**2 + t - 4/5*z = 0.
0, 1
Let x(y) = 3*y + 45. Let h be x(-7). What is z in -346*z - h + 28*z**4 + 4*z**3 + 150*z + z**3 - 196*z**2 - z**3 = 0?
-2, -1, -1/7, 3
Suppose -4*o + o + 2*z = -28, -5*o = z - 25. Suppose -o*k = -28 + 10. Factor 0 + 3/4*b - 3/4*b**2 - 3/4*b**k + 3/4*b**4.
3*b*(b - 1)**2*(b + 1)/4
What is w in -3*w**4 - 384 + 24 - 7287*w**3 + 654*w - 231*w**2 + 7227*w**3 = 0?
-12, -10, 1
Let o(w) be the second derivative of 4*w**6/195 + 5*w**5/26 - 215*w**4/39 - 1045*w**3/39 - 18*w**2 + 8738*w. Solve o(y) = 0.
-13, -2, -1/4, 9
Let k = 133119 + -931823/7. Factor -1/7*f**2 - 3 - k*f.
-(f + 3)*(f + 7)/7
Let i(z) be the third derivative of z**6/40 + 3*z**5/35 - z**4/14 - 99*z**2 - 3. Factor i(h).
3*h*(h + 2)*(7*h - 2)/7
Let u(d) be the third derivative of -d**7/735 - 8*d**6/105 - 19*d**5/15 - 190*d**4/21 - 25*d**3 - 2008*d**2. Find y, given that u(y) = 0.
-21, -5, -1
Solve -78/7*f**4 + 0 - 722/7*f**2 + 0*f + 2/7*f**5 + 114*f**3 = 0.
0, 1, 19
Let k(r) be the first derivative of -5/6*r**6 + 15*r - 10*r**3 - 5/2*r**2 + 60 + 3*r**5 + 5/2*r**4. Suppose k(z) = 0. What is z?
-1, 1, 3
Let o = -39888/5 + 7980. Let n(i) be the first derivative of 4*i**3 + 4*i**2 - 2/3*i**6 - o*i**5 + 0*i - i**4 - 4. Let n(x) = 0. What is x?
-2, -1, 0, 1
Let j be (384/256)/(90/8). Let 8/15*a**3 + 8/15*a**2 + 0*a + 0 - 2/15*a**5 - j*a**4 = 0. What is a?
-2, -1, 0, 2
Let z(j) = 100*j**3 + 5095*j**2 + 150880*j + 524770. Let w(p) = -11*p**3 - 566*p**2 - 16764*p - 58308. Let i(b) = 55*w(b) + 6*z(b). What is r in i(r) = 0?
-54, -4
Factor 26/9*c**2 - 2/9*c**4 + 0 + 8/3*c**3 + 0*c.
-2*c**2*(c - 13)*(c + 1)/9
Let o = -2929/2 + 1478. Let l(f) be the second derivative of 0 - 1/4*f**4 - o*f**2 + 19*f - 3*f**3. Find q, given that l(q) = 0.
-3
Let m(t) be the second derivative of 0*t**2 - 46 - 11/8*t**3 - 23/16*t**4 + t - 39/80*t**5 - 1/40*t**6. Solve m(k) = 0 for k.
-11, -1, 0
Let d = 43 - 41. Suppose s - d*s + 3*m = -12