iven that -2*h**3/3 - 6*h**2 + 8*h + 40/3 = 0.
-10, -1, 2
Factor 2*u**3/5 + 4*u**2 - 182*u/5 + 32.
2*(u - 5)*(u - 1)*(u + 16)/5
Determine p, given that p**5 - 4*p**4 - 3*p**3 + 14*p**2 - 8*p = 0.
-2, 0, 1, 4
Factor -14*w**5 - 38*w**4 + 160*w**3.
-2*w**3*(w + 5)*(7*w - 16)
Factor -4*m**5 - 72*m**4 - 192*m**3 + 1048*m**2 - 1212*m + 432.
-4*(m - 1)**3*(m + 9)*(m + 12)
Determine m so that 5*m**2 - 145*m - 150 = 0.
-1, 30
Factor 4*l**2/5 - 904*l/5 + 51076/5.
4*(l - 113)**2/5
What is a in 2*a**4/3 - 190*a**3/3 + 420*a**2 - 2480*a/3 + 1408/3 = 0?
1, 2, 4, 88
Factor -196*j**4 + 68936*j**3 - 6051588*j**2 - 1733248*j - 123904.
-4*(j - 176)**2*(7*j + 1)**2
Solve -c**2 + 26*c - 48 = 0.
2, 24
Factor 4*r**3/7 + 516*r**2/7 + 14688*r/7 - 18496.
4*(r - 7)*(r + 68)**2/7
Factor 3*l**2/4 - 87*l/2.
3*l*(l - 58)/4
Factor -4*n**3 - 8*n**2 + 4*n + 8.
-4*(n - 1)*(n + 1)*(n + 2)
Suppose 15*l**5 + 640*l**4 + 1020*l**3 - 230*l**2 - 1035*l - 410 = 0. Calculate l.
-41, -1, -2/3, 1
What is i in -2*i**5 + 10*i**4 + 6*i**3 - 34*i**2 + 20*i = 0?
-2, 0, 1, 5
Factor 5*y**2/2 + 265*y/2 - 1050.
5*(y - 7)*(y + 60)/2
Determine c, given that -c**3 - 35*c**2 + 73*c - 37 = 0.
-37, 1
Let -w**2/4 - 55*w/2 + 56 = 0. Calculate w.
-112, 2
Factor 7*g**3/6 + 125*g**2/3 - 302*g/3 + 76/3.
(g - 2)*(g + 38)*(7*g - 2)/6
Factor 2*o**2 - 102*o + 100.
2*(o - 50)*(o - 1)
Factor 15*y**5/8 - 57*y**4/4 + 183*y**3/8 - 21*y**2/2.
3*y**2*(y - 1)**2*(5*y - 28)/8
Factor -l**4 - 32*l**3 + 33*l**2 + 5324*l - 5324.
-(l - 11)*(l - 1)*(l + 22)**2
Solve w**4/2 + 15*w**3/2 - 33*w**2/2 + 17*w/2 = 0.
-17, 0, 1
Find w such that 2*w**2/3 - 200*w/3 - 206 = 0.
-3, 103
What is c in -c**5/7 + 2*c**4/7 + 3*c**3/7 = 0?
-1, 0, 3
Factor -u**4/2 + 5*u**3/2 + 13*u**2/2 + 7*u/2.
-u*(u - 7)*(u + 1)**2/2
Solve -5*t**2/2 - 25*t/2 - 10 = 0 for t.
-4, -1
Factor 2*n**4/9 - 2*n**3/3 + 2*n**2/3 - 2*n/9.
2*n*(n - 1)**3/9
Factor -2*c**2/19 - 290*c/19.
-2*c*(c + 145)/19
Factor -3*d**3 + 615*d**2 - 31824*d + 31212.
-3*(d - 102)**2*(d - 1)
Factor -78125*z**3 - 393125*z**2 - 12520*z - 100.
-5*(z + 5)*(125*z + 2)**2
Factor 3*r**3 + 41*r**2 - 59*r + 15.
(r - 1)*(r + 15)*(3*r - 1)
Find t such that -t**3 + 2*t**2 - t = 0.
0, 1
Determine z, given that 81*z**4 - 156*z**3 - 1875*z**2 + 4722*z + 360 = 0.
-5, -2/27, 3, 4
Factor 2*i**3/5 + 4*i**2/5 - 6*i/5.
2*i*(i - 1)*(i + 3)/5
Factor u**3/5 + 6*u**2 + 60*u + 200.
(u + 10)**3/5
Suppose -5*l**4 - 37*l**3 + 91*l**2 + 177*l + 54 = 0. Calculate l.
-9, -1, -2/5, 3
Suppose 3*a**4 - 12*a**3 + 12*a**2 = 0. What is a?
0, 2
Suppose 5*q**2 - 1345*q + 1340 = 0. What is q?
1, 268
Solve -r**4/5 - r**3/5 + r**2/5 + r/5 = 0 for r.
-1, 0, 1
Factor -4*c**3 + 130*c**2 - 1088*c + 512.
-2*(c - 16)**2*(2*c - 1)
Factor j**5/6 - 2*j**4/3 - j**3/6 + 2*j**2/3.
j**2*(j - 4)*(j - 1)*(j + 1)/6
Determine j, given that 4*j**3/5 - 124*j**2/5 - 128*j/5 = 0.
-1, 0, 32
Suppose 5*a**3/3 - 290*a**2/3 + 1300*a + 3000 = 0. What is a?
-2, 30
Suppose -c**5/3 - 32*c**4/9 - 107*c**3/9 - 154*c**2/9 - 100*c/9 - 8/3 = 0. Calculate c.
-6, -2, -1, -2/3
Solve -2*l**5/13 + 10*l**4/13 + 62*l**3/13 - 394*l**2/13 + 276*l/13 + 720/13 = 0 for l.
-6, -1, 3, 4, 5
Find v, given that -3*v**2 + 151*v/3 + 34/3 = 0.
-2/9, 17
Let -4*t**2 - 1784*t - 198916 = 0. What is t?
-223
Factor l**2 - 54*l + 729.
(l - 27)**2
Solve m**3/4 + 49*m**2/2 + 624*m + 1152 = 0 for m.
-48, -2
Solve 3*d**4 - 4161*d**3 + 1436571*d**2 + 4338885*d + 2898150 = 0 for d.
-2, -1, 695
Find y such that 12*y**5 + 45*y**4 - 96*y**3 - 99*y**2 + 30*y = 0.
-5, -1, 0, 1/4, 2
Factor u**3 + 90*u**2 + 347*u + 258.
(u + 1)*(u + 3)*(u + 86)
Factor -5*d**3 + 35*d + 30.
-5*(d - 3)*(d + 1)*(d + 2)
Solve 3*a**3/4 - 33*a**2/4 + 57*a/4 - 27/4 = 0 for a.
1, 9
Factor 5*o**2/2 - 183*o/2 - 37.
(o - 37)*(5*o + 2)/2
Factor 3*k**2/7 - 1578*k/7 - 1581/7.
3*(k - 527)*(k + 1)/7
Factor -s**4 - 12*s**3 - 36*s**2.
-s**2*(s + 6)**2
Find m, given that -9*m**4/4 + 4*m**3 - 5*m**2/4 - m/2 = 0.
-2/9, 0, 1
Factor -100*g**4 - 320*g**3 - 96*g**2 + 256*g - 64.
-4*(g + 2)**2*(5*g - 2)**2
Factor -265*n**3 - 2130*n**2 - 4320*n - 160.
-5*(n + 4)**2*(53*n + 2)
Factor 4*a**3/3 - 2*a**2 - 22*a/3 + 4.
2*(a - 3)*(a + 2)*(2*a - 1)/3
Factor -3*q**3 + 69*q**2 + 150*q.
-3*q*(q - 25)*(q + 2)
Solve -2*l**4 - 26*l**3 - 42*l**2 + 170*l - 100 = 0 for l.
-10, -5, 1
Find w, given that -2*w**2/9 - 68*w/3 - 578 = 0.
-51
Let -o**4 + 40*o**3 - 493*o**2 + 1734*o = 0. What is o?
0, 6, 17
Factor 2*g**5 + 20*g**4 + 48*g**3 - 20*g**2 - 50*g.
2*g*(g - 1)*(g + 1)*(g + 5)**2
Factor 4*w**2 + 320*w - 1344.
4*(w - 4)*(w + 84)
Factor -x**4/5 + x**3/5 + 4*x**2/5 - 4*x/5.
-x*(x - 2)*(x - 1)*(x + 2)/5
Suppose l**3/4 - 3*l**2 - 133*l/4 = 0. Calculate l.
-7, 0, 19
Let -2*m**5/5 - 10*m**4 - 60*m**3 + 200*m**2 + 2000*m = 0. Calculate m.
-10, 0, 5
Find p, given that p**5 - 53*p**4 + 247*p**3 + 12909*p**2 + 30096*p - 209088 = 0.
-8, 3, 33
Let -2*k**4 + 196*k**3 - 6978*k**2 + 106624*k - 591872 = 0. What is k?
17, 32
Factor 2*w**4 + 58*w**3 + 208*w**2 + 200*w.
2*w*(w + 2)**2*(w + 25)
Suppose -2*y**5/5 - 66*y**4/5 - 714*y**3/5 - 2678*y**2/5 - 2028*y/5 = 0. Calculate y.
-13, -6, -1, 0
Factor 6*y**2/7 + 7692*y/7 - 15408/7.
6*(y - 2)*(y + 1284)/7
Determine s so that -2*s**4/13 + 1094*s**3/13 - 198738*s**2/13 + 11855106*s/13 + 24513948/13 = 0.
-2, 183
Solve 5*v**2 - 245 = 0 for v.
-7, 7
Solve g**3/5 + 3*g**2/5 - 4/5 = 0.
-2, 1
Let -3*y**2 - 3261*y - 3258 = 0. What is y?
-1086, -1
Find l such that 2*l**2/7 + 15936*l/7 + 31744512/7 = 0.
-3984
Let -5*u**3 - 1155*u**2 - 68400*u - 194940 = 0. What is u?
-114, -3
Suppose -2*t**2/5 - 506*t/5 - 972 = 0. Calculate t.
-243, -10
What is w in -7*w**3 - 5*w**2 + 44*w - 12 = 0?
-3, 2/7, 2
Factor 4*q**2 - 128*q - 576.
4*(q - 36)*(q + 4)
Determine l, given that -l**2/6 - 121*l/6 - 59 = 0.
-118, -3
Suppose 36*n**5 + 60*n**4 - 296*n**3 - 536*n**2 - 252*n - 36 = 0. Calculate n.
-3, -1, -1/3, 3
Determine l so that 4*l**4 + 48*l**3 - 296*l**2 - 2640*l + 12100 = 0.
-11, 5
Solve q**3/3 + 58*q**2/3 + 1105*q/3 + 2312 = 0.
-24, -17
Determine p, given that -14*p**3 + 6*p**2 + 8*p = 0.
-4/7, 0, 1
Factor 4*h**4 - 16*h**3 + 12*h**2.
4*h**2*(h - 3)*(h - 1)
Factor 2*z**2 - 54*z + 100.
2*(z - 25)*(z - 2)
Factor -5*d**3 - 140*d**2 - 1025*d - 1530.
-5*(d + 2)*(d + 9)*(d + 17)
Factor -z**4/8 + 67*z**3/8 + 69*z**2/4.
-z**2*(z - 69)*(z + 2)/8
Determine d, given that -3*d**5 + 15*d**4 + 75*d**3 - 15*d**2 - 72*d = 0.
-3, -1, 0, 1, 8
Solve -c**3 + 14*c**2 - 13*c = 0 for c.
0, 1, 13
Solve -2*d**4/3 + 124*d**3/3 - 640*d**2 - 124*d/3 + 1922/3 = 0 for d.
-1, 1, 31
Factor -2*w**4/3 - 4*w**3 - 10*w**2/3 + 8*w.
-2*w*(w - 1)*(w + 3)*(w + 4)/3
Factor -2*c**2/5 + 114*c/5 - 308.
-2*(c - 35)*(c - 22)/5
Factor -2*o**4 + 292*o**3 - 10058*o**2 - 43800*o - 45000.
-2*(o - 75)**2*(o + 2)**2
Factor -r**2 + 99*r.
-r*(r - 99)
Let -b**4 - 7*b**3/3 + 25*b**2/3 + 21*b + 6 = 0. Calculate b.
-3, -2, -1/3, 3
Let -4*u**5 - 4*u**4 + 8*u**3 = 0. Calculate u.
-2, 0, 1
Factor 15*w**3 + 3445*w**2 - 4615*w + 1155.
5*(w - 1)*(w + 231)*(3*w - 1)
Factor -u**4/2 + 5*u**3 - 13*u**2/2 - 30*u - 18.
-(u - 6)**2*(u + 1)**2/2
Suppose 2*t**3 - 234*t**2 - 960*t - 968 = 0. Calculate t.
-2, 121
Find n such that 2*n**4/5 - 6*n**3/5 - 18*n**2/5 + 46*n/5 - 24/5 = 0.
-3, 1, 4
Factor -15*d**2 + 1760*d + 1180.
-5*(d - 118)*(3*d + 2)
Factor -9*y**2/7 - 300*y/7 - 384/7.
-3*(y + 32)*(3*y + 4)/7
Factor 4*v**2/5 + 1536*v/5 - 6208/5.
4*(v - 4)*(v + 388)/5
Factor -1587*v**2 + 138*v - 3.
-3*(23*v - 1)**2
Factor 2*y**3 - 3810*y**2 + 2419350*y - 512095750.
2*(y - 635)**3
Determine s so that -2*s**2/11 - 16*s/11 + 40/11 = 0.
-10, 2
Factor -3*d**2/8 - 81*d/8 - 39/4.
-3*(d + 1)*(d + 26)/8
Suppose -3*n**3 + 156*n**2 - 1863*n - 4374 = 0. What is n?
-2, 27
Let -g**3 - 4470*g**2 - 6660300*g - 3307949000 = 0. Calculate g.
-1490
What is l in 2*l**2 - 26*l - 1428 = 0?
-21, 34
Let 5*b**5 - 65*b**4 - 165*b**3 + 225*b**2 = 0. What is b?
-3, 0, 1, 15
Factor 2*f**3/19 - 42*f**2/19 + 60*f/19 + 16.
2*(f - 19)*(f - 4)*(f + 2)/19
Factor 2*w**4 - 8*w**3 - 6*w**2 + 28*w - 16.
2*(w - 4)*(w - 1)**2*(w + 2)
Find d such that 33*d**4/2 + 831*d**3/2 + 2847*d**2 + 2880*d + 432 = 0.
-12, -1, -2/11
Find n such that 5*n**4/7 - 6*n**3 - 47*n**2/7 + 468*n/7 + 288/7 = 0.
-3, -3/5, 4, 8
Let -3*f**2 + 66*f - 120 = 0. Calculate f.
2, 20
Find m, given that m**3 + 5*m**2 