0*l**2 - 9*l**5 - 100*l - 24*l**3 - 9*l**5 + t*l**5 + l**5 = 0. Calculate l.
-1, 0, 5
Let 0*f - 98/3*f**2 + 0 + 1/3*f**3 = 0. What is f?
0, 98
Let l(f) = -f**3 + 2*f - 2. Let a be (-4)/(-22) + ((-210)/33)/2. Let i be l(a). Factor -3*d**5 - 204*d**3 + 129*d**3 - 5 - 114*d**2 - i - 84*d - 24*d**4.
-3*(d + 1)**2*(d + 2)**3
Find l such that -13/2*l**3 - 8225/2*l + 326*l**2 + 625 = 0.
2/13, 25
Solve -345/2*b - 387/2*b**3 - 609/2*b**2 + 6*b**5 - 57/2*b**4 - 27 = 0.
-2, -1, -1/4, 9
Suppose 2*n - 3 = 7. Suppose 16 = n*c + 6. Solve -2*f - c*f - 2*f**2 + 0*f = 0.
-2, 0
Let y(w) be the second derivative of 0 + 0*w**2 - 4/35*w**5 - 1/147*w**7 + 2/35*w**6 + 196*w + 0*w**4 + 0*w**3. Suppose y(z) = 0. What is z?
0, 2, 4
Let d(r) be the first derivative of 2*r**5/5 - 5*r**4 + 24*r**3 - 54*r**2 + 54*r - 1263. Find f, given that d(f) = 0.
1, 3
Let t(w) = -w**3 - w + 3. Let p(j) = 2*j**4 + 88*j**3 + 1362*j**2 + 6988*j + 11564. Let d(o) = p(o) - 4*t(o). Solve d(g) = 0.
-19, -4
Let p(w) be the second derivative of -w**6/180 + w**5/20 - w**4/6 - 7*w**3/6 + 6*w. Let m(v) be the second derivative of p(v). Solve m(y) = 0 for y.
1, 2
Let q(b) be the second derivative of 34*b - 1/4*b**4 - 1/16*b**5 + 0 - 1/2*b**3 - 1/160*b**6 - 8*b**2. Let k(r) be the first derivative of q(r). Factor k(x).
-3*(x + 1)*(x + 2)**2/4
Suppose 4*g = 3*y - 7, 5*y - g - 6 = -0*g. Suppose -t - y = -6. Determine r, given that -16/5*r**3 + 0 + 6/5*r**4 - 8/5*r**2 + 0*r + 18/5*r**t = 0.
-2/3, 0, 1
Factor -7/2*h**2 + 1/4*h**4 + 0*h + 0 - 13/4*h**3.
h**2*(h - 14)*(h + 1)/4
Let f(l) = 5*l - 18. Let m = -47 - -52. Let a be f(m). Factor 8*o + 2 - a + 10*o**2 - 5 - 8*o**2.
2*(o - 1)*(o + 5)
Factor -104*f**2 - 9440 + 18856 - 9452 - 114*f - 38*f**3 - 20*f**2 - 10*f**3 + 2*f**5.
2*(f - 6)*(f + 1)**3*(f + 3)
Let g(d) be the third derivative of -d**7/90 + d**6/4 + 28*d**5/45 + 2777*d**2. Factor g(a).
-a**2*(a - 14)*(7*a + 8)/3
Let u = 76953/59885 + 6/8555. Let a(b) be the first derivative of -3/7*b - 2 + u*b**2 - 9/7*b**3. Factor a(w).
-3*(3*w - 1)**2/7
Let q(a) be the first derivative of a**5 - 13*a**4/4 - 43*a**3/3 + 105*a**2/2 - 54*a - 8. Solve q(u) = 0.
-3, 1, 18/5
Let f(s) be the first derivative of 5/39*s**3 + 1/78*s**4 - 6/13*s**2 + 19*s + 27. Let g(t) be the first derivative of f(t). Factor g(m).
2*(m - 1)*(m + 6)/13
Let l(u) = -u**5 - 82*u**4 + 165*u**3 + 26*u**2 - 220*u - 6. Let w(f) = f**5 + 2*f**4 - f**2 + 1. Let m(k) = l(k) + 6*w(k). What is n in m(n) = 0?
-1, 0, 2, 11
Determine d so that 15 + 22*d + 27/4*d**2 - 1/4*d**3 = 0.
-2, -1, 30
Let n(u) be the second derivative of -u**4/9 + 796*u**3/9 - 79202*u**2/3 - 2364*u. Factor n(t).
-4*(t - 199)**2/3
Suppose -497*v + 3428 = 360*v. Factor 80/3*i - 2/3*i**4 - 50/3 - v*i**2 - 16/3*i**3.
-2*(i - 1)**2*(i + 5)**2/3
Let h = 147364/3 - 1620986/33. Let -24/11 + h*b**2 + 8/11*b - 2/11*b**3 = 0. Calculate b.
-2, 2, 3
Let d(m) be the third derivative of -m**7/945 + 2*m**6/45 - 14*m**5/45 - 196*m**4/27 + 2688*m**2. What is r in d(r) = 0?
-4, 0, 14
Suppose 0 = -672*j + 528*j + 288. Determine t, given that -2*t + 10/3*t**3 - 1/3*t**j + 0 - t**4 = 0.
-2/3, 0, 1, 3
Suppose 2/3*j**4 + 0 - 48*j - 40/3*j**3 - 62*j**2 = 0. What is j?
-3, -1, 0, 24
Suppose 8*k = -0*k + 24. Let w = 20/1661 - -6504/11627. Factor 16/7*a**k - 18/7*a - 12/7*a**4 + 8/7 + w*a**2 + 2/7*a**5.
2*(a - 4)*(a - 1)**3*(a + 1)/7
Let p(b) = 146*b - 12. Let f be p(-1). Let d = f - -176. Factor -3/2*h**5 + 0 - 9*h**4 - 6*h - 39/2*h**3 - d*h**2.
-3*h*(h + 1)**2*(h + 2)**2/2
Let n(z) = 3*z**2 - 4*z - 7. Let h be n(-1). Let r(l) be the third derivative of -1/16*l**4 - 2*l**2 + h - 1/80*l**5 + 0*l - 1/8*l**3. Factor r(j).
-3*(j + 1)**2/4
Let 586/11*k**3 - 292/11*k**2 + 2/11*k**5 + 0*k - 296/11*k**4 + 0 = 0. Calculate k.
0, 1, 146
Let u(v) be the third derivative of -v**8/84 - 92*v**7/105 + 8*v**6/5 + 46*v**5/15 - 47*v**4/6 - 707*v**2. Determine a so that u(a) = 0.
-47, -1, 0, 1
Let v = -88804 + 444092/5. Let -6/5*o + v - 3/5*o**2 = 0. Calculate o.
-6, 4
Solve 3/5*o**2 + 18 - 33/5*o = 0.
5, 6
Let d(f) be the second derivative of -f**6/30 + 7*f**4/12 + f**3 - 165*f - 3. Factor d(w).
-w*(w - 3)*(w + 1)*(w + 2)
Let r(t) be the third derivative of 0*t - 3*t**2 + 1/84*t**8 - 1/3*t**5 + 38 + 2/105*t**7 + 0*t**3 - 1/3*t**4 - 1/10*t**6. Factor r(m).
4*m*(m - 2)*(m + 1)**3
Let j(b) be the third derivative of -b**8/56 + 19*b**7/525 + 4*b**6/25 - 14*b**5/25 + 8*b**4/15 - 2683*b**2 - b. Solve j(r) = 0.
-2, 0, 2/3, 1, 8/5
Let o be (77/(-182) - ((-36)/78)/(-6))*0. Let u(p) be the second derivative of 1/3*p**4 + 0 + 2/3*p**3 + o*p**2 - 18*p. Factor u(h).
4*h*(h + 1)
Let -128 + 9*f**3 - f**3 - 62663*f**4 + 62664*f**4 - 96*f - 8*f**2 - 2*f**3 = 0. What is f?
-4, -2, 4
Suppose -386 = 26*x - 27*x. Let l = -384 + x. Factor 27/7*m + 3/7*m**3 + 18/7*m**l + 0.
3*m*(m + 3)**2/7
Let b = 172/3 - 56. Let k be ((-14)/(-175) + 189/(-175))/((-10)/30). Factor 13/3*j**2 + b*j**k + 0 + j.
j*(j + 3)*(4*j + 1)/3
Suppose -10*b = 3 - 33. Factor -18*c**4 - 32*c**2 + 9*c + 3*c**b - 4*c + 39*c**3 + 3*c.
-2*c*(c - 1)*(3*c - 2)**2
Suppose 7 = 4*a - 1. Suppose -a*q = -4*q + 4. Factor 40*z**2 - 5*z**4 - 20*z**2 - 10*z**3 - 25*z**q.
-5*z**2*(z + 1)**2
Let o(l) be the second derivative of -4 + 14/3*l**3 - 2*l**2 + 17/4*l**4 + 7*l - 17/30*l**6 + 1/10*l**5. Factor o(y).
-(y - 2)*(y + 1)**2*(17*y - 2)
Let v(j) = -2*j**3 - 196*j**2 - 125*j + 6693. Let c be v(-97). Factor 0 - 1/2*d**5 - 5/2*d**3 + c*d + 0*d**2 - 3*d**4.
-d**3*(d + 1)*(d + 5)/2
Suppose 4*c + 8 + 8 = 0, -z + 21 = -4*c. Suppose -z*w - 34 + 64 = 0. Factor -3*j**3 + 13*j + w*j**2 + 3 - 2*j**2 - 11 + 14.
-(j - 3)*(j + 1)*(3*j + 2)
Let y(i) be the third derivative of -32*i**2 + 0*i**3 + 1/60*i**5 + 0 + 0*i + 1/3*i**4. Factor y(z).
z*(z + 8)
Suppose -v = -3*y + 1904, 0 = 24*y - 26*y - 3*v + 1273. Let s = -635 + y. Factor 0*j**2 + 1/2*j**3 + s - 1/2*j.
j*(j - 1)*(j + 1)/2
Factor 2*y + 2/3*y**2 + 0 - 10/9*y**3 + 2/9*y**4.
2*y*(y - 3)**2*(y + 1)/9
Factor -4720/3*a - 4/3*a**2 - 1392400/3.
-4*(a + 590)**2/3
Let p(m) = -2*m**2 - 32*m + 37. Let c be p(-17). Let u = c - 37/13. Factor u*k**3 + 0 + 6/13*k - 10/13*k**2 + 2/13*k**4.
2*k*(k - 1)**2*(k + 3)/13
Let h be (-3 - (-7 + 3))*(-5)/(-15). Let q(j) be the second derivative of 1/12*j**5 + 0 + 7/18*j**3 + 1/4*j**4 - 28*j + 1/90*j**6 + h*j**2. Factor q(i).
(i + 1)**3*(i + 2)/3
Let x = -10 + 16. Suppose 2*o = -3*p + 21, -20 = -5*o + p + 7. Factor -3/2*u**2 - o*u - x.
-3*(u + 2)**2/2
Let t(f) be the first derivative of 3*f**5/20 + f**4/2 + f**3/2 - 125*f - 176. Let c(s) be the first derivative of t(s). Factor c(h).
3*h*(h + 1)**2
Let h be (13 + (-8)/16)*(-8)/(-12) + -7. Solve 0 - h*g**3 - 20/3*g**2 + 0*g = 0 for g.
-5, 0
Let p = -86781 + 86786. Factor 2/11*d**p + 200/11*d**3 + 32/11*d**4 + 512/11 + 896/11*d + 608/11*d**2.
2*(d + 2)**2*(d + 4)**3/11
Let l(y) be the second derivative of 3/5*y**4 - 1/50*y**5 - 28*y - 11/5*y**3 + 16/5*y**2 + 2. Factor l(o).
-2*(o - 16)*(o - 1)**2/5
Factor 57/5*m - 3/5*m**2 + 648/5.
-3*(m - 27)*(m + 8)/5
Let i = 2366 - 2354. Suppose -2*j = 4*h + 8, -4*h + 23*j - 20*j + i = 0. Factor h*t**2 - 3/7*t**3 + 0 + 0*t.
-3*t**3/7
Let l(k) be the first derivative of -1/24*k**4 + 35/12*k**2 + 252 + 1/9*k**3 + 0*k. Determine i so that l(i) = 0.
-5, 0, 7
Let w = -38387 + 38391. Let b(h) be the third derivative of 0 - 49*h**2 - 8/3*h**3 - 3/20*h**5 + 0*h - 1/120*h**6 - h**w. Factor b(d).
-(d + 1)*(d + 4)**2
Let a(u) be the first derivative of -u**6/6 + 4*u**5/5 - u**4 - 2*u**3/3 + 5*u**2/2 - 2*u + 9794. Factor a(b).
-(b - 2)*(b - 1)**3*(b + 1)
Let k be (-9)/(-27)*(-2 + 8). Let 47 + 12*a + 0*a**k - 37 + a**2 - 5*a = 0. Calculate a.
-5, -2
Let r(t) = 7252*t**3 + 5256*t**2 - 1829*t + 135. Let x(f) = -41095*f**3 - 29785*f**2 + 10365*f - 765. Let a(j) = -45*r(j) - 8*x(j). Factor a(d).
5*(d + 1)*(22*d - 3)**2
Let b = -9/23546 + 94211/70638. Determine j so that b + 2*j**3 + 13/3*j**2 + 4*j + 1/3*j**4 = 0.
-2, -1
Let s(n) be the first derivative of -3*n**6/2 - 9*n**5/5 - 3*n**4/4 - n**3/9 - 1199. Factor s(g).
-g**2*(3*g + 1)**3/3
Let q(d) be the third derivative of -d**8/1176 - 11*d**7/735 - 4*d**6/35 - 52*d**5/105 - 4*d**4/3 - 16*d**3/7 - 220*d**2. Factor q(k).
-2*(k + 2)**4*(k + 3)/7
Let i be (-5)/(35/3) - (-168)/49. Find s, given that 19*s**2 + 2