f w(z). Factor r(l).
l*(l - 1)*(2*l + 1)/8
Solve -1/2*d**2 + 38 + 15/2*d = 0 for d.
-4, 19
Let f(m) be the first derivative of -4/9*m**2 - 8/9*m - 2/27*m**3 + 26. Solve f(x) = 0 for x.
-2
Let u be (-10850)/875 + 0 + 13. Factor -18/5*l**3 + 0*l + 27/5*l**2 + 0 + u*l**4.
3*l**2*(l - 3)**2/5
Let s be ((-361)/(-76))/19*(2 - 162/(-15)). Find b, given that s*b - 1/5*b**2 - 64/5 = 0.
8
Let l(i) be the third derivative of i**5/120 + 7*i**4/72 + 5*i**3/12 - 3*i**2 + 15. Factor l(z).
(z + 3)*(3*z + 5)/6
Let z = -11 - -14. Suppose -5*q = z*r - 11, 2*r + 2*q - 4 = r. Solve 2/7*a**3 - 18/7 + 30/7*a - 2*a**r = 0 for a.
1, 3
Let m = -43 - -43. Find o, given that 14*o**5 + 6*o + 16*o**2 + 4*o**4 + 2*o - 13*o**3 - 29*o**3 + m*o**4 = 0.
-2, -2/7, 0, 1
Let s(y) be the first derivative of 0*y + 0*y**3 + 8 - 1/4*y**4 + 1/2*y**2. Factor s(p).
-p*(p - 1)*(p + 1)
Suppose -7500 = -25*o - 5*o. Suppose 0*n - 4 = -2*n. Factor 11*w - 19*w**2 + 2*w**3 - o + 4*w**2 + 139*w - 15*w**n.
2*(w - 5)**3
Let z(x) be the third derivative of x**6/80 + 399*x**5/40 + 53067*x**4/16 + 2352637*x**3/4 - x**2 - 54*x. Factor z(m).
3*(m + 133)**3/2
Let b(o) be the first derivative of 25/2*o**2 + 10*o + 13 + 5*o**3. Factor b(z).
5*(z + 1)*(3*z + 2)
Let d(x) be the third derivative of x**6/1020 - x**5/255 - 2*x**2 + 6*x. Factor d(y).
2*y**2*(y - 2)/17
Suppose 4*x - 10 = -2. Let h(u) be the third derivative of 0*u + 0 + 3*u**x - 8/3*u**3 - 1/60*u**5 + 1/3*u**4. Factor h(j).
-(j - 4)**2
Let c be (-3)/(-9)*(-5 - (-686)/70). Suppose 28/5*s**4 - 4*s**2 - 28/5*s + c*s**5 - 8/5 + 4*s**3 = 0. Calculate s.
-2, -1, -1/2, 1
Let b(v) = -v + 7. Let g be b(5). Let t(y) be the first derivative of g + 0*y - 1/5*y**2 + 1/10*y**4 - 2/15*y**3 + 2/25*y**5. Factor t(o).
2*o*(o - 1)*(o + 1)**2/5
Let d(h) = -h**2 - 14*h - 9. Let t = -39 + 26. Let p be d(t). Factor -p*o - 23*o**2 + 0*o - 16*o**3 + 3*o**2.
-4*o*(o + 1)*(4*o + 1)
Let x = 3 + 0. Let m(g) be the third derivative of 1/480*g**6 + 0*g + g**2 - 1/240*g**5 + 0*g**x + 0 - 1/96*g**4 + 1/840*g**7. Determine k so that m(k) = 0.
-1, 0, 1
Let l be (408/(-10))/12 + (-14)/(-2). Suppose -24/5 - l*f**2 - 36/5*f - 3/5*f**3 = 0. What is f?
-2
Let s(a) be the third derivative of 8*a**2 + 1/1440*a**6 + 0 + 0*a**4 - 7/6*a**3 - 1/240*a**5 + 0*a. Let j(n) be the first derivative of s(n). Factor j(v).
v*(v - 2)/4
Let p(q) be the second derivative of 0*q**2 - 5/12*q**4 + 0 + 26*q + 20/3*q**3. Factor p(c).
-5*c*(c - 8)
Factor -1 + 1/4*o**2 - 3/4*o.
(o - 4)*(o + 1)/4
Let g(r) be the third derivative of -r**5 + 175*r**4/48 - 15*r**3/4 + 38*r**2 - 3. Suppose g(s) = 0. Calculate s.
1/3, 9/8
Let r(h) be the first derivative of -h**6/15 - h**5/6 - h**4/9 + 26*h + 10. Let a(w) be the first derivative of r(w). Solve a(t) = 0.
-1, -2/3, 0
Let m = 20 - 2. Let h be -4*(m/84)/(-1). Suppose 0*s - 2/7*s**5 + h*s**4 + 2/7*s**2 - 6/7*s**3 + 0 = 0. What is s?
0, 1
Let o(z) be the third derivative of -1/1260*z**7 + 0*z**3 - 15*z**2 + 0 + 0*z**5 - 1/720*z**6 + 0*z + 0*z**4. Find v, given that o(v) = 0.
-1, 0
Let j(y) be the second derivative of -y**5/300 + y**4/60 - y**3/30 - 57*y**2/2 + 3*y + 9. Let a(w) be the first derivative of j(w). Solve a(z) = 0 for z.
1
Let q(t) be the first derivative of -1/3*t**3 + 0*t**4 + 0*t - 1/3*t**2 + 1/15*t**5 - 39. Factor q(z).
z*(z - 2)*(z + 1)**2/3
Suppose -36/5*h**4 + 19/5*h - 62/5*h**2 - 2/5 + 81/5*h**3 = 0. Calculate h.
1/4, 1/3, 2/3, 1
Suppose 4*z - m - 19 = 0, 8*z - 10*z + m + 9 = 0. What is x in 0*x + 0 + 2/11*x**2 + 8/11*x**3 + 4/11*x**z + 10/11*x**4 = 0?
-1, -1/2, 0
Let v(f) = -74*f + 2370. Let b be v(32). Solve -2*i - 6*i**b - 9/2*i**5 + 27/2*i**3 - i**4 + 0 = 0.
-2, -2/9, 0, 1
Factor -235*x - 51*x**2 + 146*x - x**3 - 535*x + 676 + 0*x**3.
-(x - 1)*(x + 26)**2
Factor 128/17 - 8/17*g**2 + 2/17*g**3 - 32/17*g.
2*(g - 4)**2*(g + 4)/17
Let h = 251 - 3260/13. Let g = -1/117 + h. Factor -g*f**2 + 2/9*f + 4/9.
-2*(f - 2)*(f + 1)/9
Let p(d) be the second derivative of d**7/7560 - d**6/2160 - d**5/60 - 5*d**4/12 - 5*d**2/2 - 25*d + 2. Let h(w) be the third derivative of p(w). Factor h(i).
(i - 3)*(i + 2)/3
Let x(l) = l**4 - 5*l**3 + l**2 + 5*l - 5. Let r(t) = -t**2 + t - 1. Let b(k) = 5*r(k) - x(k). Factor b(a).
-a**2*(a - 3)*(a - 2)
Let v(j) be the second derivative of -3*j**2 - 1/6*j**3 - 3*j + 1/12*j**4 + 0. Factor v(r).
(r - 3)*(r + 2)
Let l(p) be the second derivative of p**8/1050 + p**7/350 - p**5/150 - 5*p**3/3 + 12*p. Let d(y) be the second derivative of l(y). Factor d(t).
4*t*(t + 1)**2*(2*t - 1)/5
Let u(y) be the third derivative of 0*y - 1/18*y**3 - 1/1260*y**7 + 0 - 1/720*y**6 + 1/120*y**5 + 1/144*y**4 + 6*y**2. Factor u(s).
-(s - 1)**2*(s + 1)*(s + 2)/6
Factor -27*n - 23*n + 26*n - 2*n**2 - 26*n.
-2*n*(n + 25)
Let a(w) = 6*w**2 - 15*w + 51. Let k(d) = -d**2 + d - 7. Let g(p) = 4*a(p) + 20*k(p). Factor g(y).
4*(y - 8)*(y - 2)
What is p in -2*p + 0 + 2*p**2 - 1/2*p**3 = 0?
0, 2
Let u = -73 - -87. Let k be -1 + 45/35 + (-4)/u. Factor -4/7*w - 2/7*w**4 - 10/7*w**2 - 8/7*w**3 + k.
-2*w*(w + 1)**2*(w + 2)/7
Let 1/12*z**2 + 14/3*z + 196/3 = 0. Calculate z.
-28
Let c be (6/27)/(12 + -11). Let t(j) be the first derivative of 1/18*j**6 - 1/3*j + 10 - 1/15*j**5 + c*j**3 - 1/6*j**4 + 1/6*j**2. Factor t(v).
(v - 1)**3*(v + 1)**2/3
Let -18 + 5*i - 3*i**3 + 20*i - 8*i + 4*i = 0. Calculate i.
-3, 1, 2
Let k be (23 - (19 + 1)) + 4/(-2). Factor 11/2*x**2 + 2*x**3 + 5/2*x - k.
(x + 1)*(x + 2)*(4*x - 1)/2
Let y(t) be the first derivative of -t**6/6 + 3*t**5/5 + 5*t**4/2 + 2*t**3/3 - 9*t**2/2 - 5*t - 166. Factor y(h).
-(h - 5)*(h - 1)*(h + 1)**3
Let h(p) be the third derivative of 1/180*p**5 - 1/36*p**4 + 10*p**2 + 0 + 0*p**3 + 0*p. Determine w so that h(w) = 0.
0, 2
Factor 3/2*m**4 + 57/2*m**2 - 30*m**3 + 0 + 0*m.
3*m**2*(m - 19)*(m - 1)/2
Let 202*w**2 - 66*w**2 + 212*w - 65*w**2 - 75*w**2 = 0. Calculate w.
0, 53
Solve -23*z**4 - 17*z**5 + 20*z**5 + 88*z**2 - 3*z**3 + 33*z**2 + 59*z**2 - 157*z**4 = 0.
-1, 0, 1, 60
Let g(v) be the first derivative of 2*v + 4/5*v**2 - 2/15*v**3 - 24. Factor g(f).
-2*(f - 5)*(f + 1)/5
Let z(p) be the third derivative of p**8/1008 - 2*p**7/315 + p**6/90 + p**5/90 - 5*p**4/72 + p**3/9 + 108*p**2. Factor z(i).
(i - 2)*(i - 1)**3*(i + 1)/3
Let p be (-304)/(-192) - (-10)/(-8). Factor p*c**2 + 2/3*c + 1/3.
(c + 1)**2/3
Let p(t) be the first derivative of -6/11*t**2 - 18/11*t - 2/33*t**3 + 3. Factor p(x).
-2*(x + 3)**2/11
Determine v, given that 72*v**2 - 145*v + 39 + 105 - 30*v**2 - 41*v**2 = 0.
1, 144
Let o(p) = -p**3 + 3*p**2 + 2*p. Let w be o(-4). Let n be (0 - -1)/(26/w). Factor -4*j**4 - 36 - n*j**3 + 36 + 2*j**5 - 3*j**5.
-j**3*(j + 2)**2
Suppose -4*p = -9*p - k + 18, -4*k + 24 = 4*p. Find r, given that 2/7*r**2 + 2/7*r**p + 0*r + 0 = 0.
-1, 0
Determine s so that -8/3*s + 20/3 - 1/3*s**2 = 0.
-10, 2
Let s be ((-9)/6 + 2)*24. Let a(m) = -m**3 + 5*m**2 - 3*m. Let k be a(4). Let -s*q**k - 4*q**4 - 18*q**3 - 5*q + 16*q**2 + 13*q + 10*q**5 = 0. What is q?
-1, -2/5, 0, 1, 2
Let u(c) = -4*c**2 + c**2 + 4 - 5*c**3 - 2*c**2 - c - 4*c**3. Let t(x) = 19*x**3 + 9*x**2 + 3*x - 8. Let a(y) = 6*t(y) + 14*u(y). Factor a(o).
-4*(o + 1)**2*(3*o - 2)
Let z be (-4 + 0 - -5)*2. Suppose z*s = -2*d + 8 - 0, 5*d - 16 = -3*s. Factor 2*t**5 - 2 - 2*t**2 - 8*t - 2*t**d + 2*t + 6*t**4 - 18*t**3 + 22*t**3.
2*(t - 1)*(t + 1)**4
Factor 6/5 - 6/5*a**2 - 2/5*a + 2/5*a**3.
2*(a - 3)*(a - 1)*(a + 1)/5
Let y(k) be the first derivative of -49*k**5/45 - 455*k**4/3 - 150532*k**3/27 + 14560*k**2/3 - 12544*k/9 + 799. Determine o so that y(o) = 0.
-56, 2/7
Find w, given that -2685*w**2 - 616*w + 2927*w**2 + 47 + 345 = 0.
14/11
Let d(n) be the first derivative of 20/3*n**3 + 0*n + 19/4*n**4 - 9 - 3*n**5 + 2*n**2. Determine i so that d(i) = 0.
-2/5, -1/3, 0, 2
Let t = -64 + 72. Factor -4*c**4 - 2*c**3 + 11*c**4 + 2*c**2 - 6*c + t*c**3 - 9*c**4.
-2*c*(c - 3)*(c - 1)*(c + 1)
Let g(d) be the second derivative of -d**7/504 + d**5/6 + 5*d**4/3 + 35*d. Let m(q) be the third derivative of g(q). Suppose m(n) = 0. Calculate n.
-2, 2
Determine f so that -7*f**5 + 16*f**4 + 6*f**3 - 10*f**4 + 3*f**4 + 10*f**5 = 0.
-2, -1, 0
Suppose -15*p - 12 = -12*p. Let u be 16/3 - p/6. Factor -1 - 3*b**3 - u + 1 - 15*b**2 - 3 - 21*b.
-3*(b + 1)**2*(b + 3)
Let x be ((198/144)/(3/(-6)))/(49/(-28)). Dete