 + 26)
Suppose -3*i**3 + 81*i**2 - 621*i + 1215 = 0. What is i?
3, 9, 15
Let -3*k**3/5 - 15*k**2 - 66*k/5 + 144/5 = 0. Calculate k.
-24, -2, 1
Factor 2*z**4 - 26*z**3 + 86*z**2 - 30*z - 144.
2*(z - 8)*(z - 3)**2*(z + 1)
Factor 10*q**3 - 4*q**2 - 40*q + 16.
2*(q - 2)*(q + 2)*(5*q - 2)
Solve -2*c**3/19 - 16*c**2/19 - 32*c/19 = 0 for c.
-4, 0
Determine l so that 25*l**3 + 360*l**2 - 235*l - 150 = 0.
-15, -2/5, 1
Factor 2*p**2/5 + 5784*p/5 + 4181832/5.
2*(p + 1446)**2/5
Let -6*x**2/7 + 214*x/7 - 20 = 0. Calculate x.
2/3, 35
Factor -k**4/2 - 5*k**3/2 + 12*k**2.
-k**2*(k - 3)*(k + 8)/2
Suppose 25*k**5/6 - 155*k**4/6 - 56*k**3 - 94*k**2/3 - 16*k/3 = 0. Calculate k.
-1, -2/5, 0, 8
Factor 3*t**2/5 - 954*t/5 + 75843/5.
3*(t - 159)**2/5
Factor -3*r**2 + 51*r - 126.
-3*(r - 14)*(r - 3)
Factor 12*v**4 - 104*v**3 + 132*v**2 + 56*v.
4*v*(v - 7)*(v - 2)*(3*v + 1)
Factor -2*j**2 + 276*j - 9522.
-2*(j - 69)**2
Factor -3*u**3 + 117*u**2 + 120*u.
-3*u*(u - 40)*(u + 1)
Factor c**3/4 + c**2 - 555*c/4 - 2925/2.
(c - 26)*(c + 15)**2/4
Factor 5*n**5 + 15*n**4 - 30*n**3 - 130*n**2 - 135*n - 45.
5*(n - 3)*(n + 1)**3*(n + 3)
Factor -3*m**4 + 42*m**3 + 3*m**2 - 42*m.
-3*m*(m - 14)*(m - 1)*(m + 1)
Factor -2*b**4/3 + 14*b**2/3 + 4*b.
-2*b*(b - 3)*(b + 1)*(b + 2)/3
Find r such that r**2/4 - 53*r/4 = 0.
0, 53
Suppose -2*b**4 + 16*b**3 + 46*b**2 - 60*b = 0. What is b?
-3, 0, 1, 10
Suppose -2*q**2/9 - 164*q/9 - 18 = 0. What is q?
-81, -1
Solve -4*u**4/7 - 240*u**3/7 - 2808*u**2/7 + 23760*u/7 - 39204/7 = 0 for u.
-33, 3
Factor -14*p**3/9 + 2*p**2/3.
-2*p**2*(7*p - 3)/9
Factor -5*f**5 + 15*f**3 - 10*f**2.
-5*f**2*(f - 1)**2*(f + 2)
Solve -4*f**5 - 244*f**4 - 4776*f**3 - 25704*f**2 + 89964*f + 111132 = 0 for f.
-21, -1, 3
Factor -64*m**3 + 4192*m**2 - 2084*m + 260.
-4*(m - 65)*(4*m - 1)**2
Solve -3*l**5 - 36*l**4 - 48*l**3 + 144*l**2 + 240*l = 0.
-10, -2, 0, 2
Find r such that 5*r**3 + 60*r**2 + 205*r + 150 = 0.
-6, -5, -1
Factor 605*s**5 + 1595*s**4 + 1175*s**3 + 5*s**2 - 160*s + 20.
5*(s + 1)**3*(11*s - 2)**2
Let 19*j**2 - 37*j + 18 = 0. What is j?
18/19, 1
Factor -2*t**5/3 + 8*t**4/3 + 8*t**3 - 64*t**2/3 - 128*t/3.
-2*t*(t - 4)**2*(t + 2)**2/3
Solve 36*b**3 + 247*b**2 - 35*b = 0.
-7, 0, 5/36
What is v in -2*v**2 - 62*v/7 - 24/7 = 0?
-4, -3/7
Solve 2*l**4 - 16*l**2 + 32 = 0.
-2, 2
Factor 5*t**4 + 59240*t**3 + 263203320*t**2 + 519738822560*t + 384866598105680.
5*(t + 2962)**4
Suppose 5*o**4 + 150*o**3 + 525*o**2 + 100*o - 780 = 0. Calculate o.
-26, -3, -2, 1
Suppose 2*y**3/7 - 12*y**2/7 + 6*y/7 + 20/7 = 0. Calculate y.
-1, 2, 5
Determine c so that -2*c**4/13 - 6*c**3/13 + 12*c**2/13 + 16*c/13 = 0.
-4, -1, 0, 2
Factor 4*v**2/3 + 464*v/3 + 13456/3.
4*(v + 58)**2/3
Find k, given that 5*k**4 - 23020*k**3 + 26519030*k**2 - 52969020*k + 26473005 = 0.
1, 2301
Let 4*c**2 + 252*c - 256 = 0. Calculate c.
-64, 1
Factor -4*f**2/7 - 47840*f/7 - 143041600/7.
-4*(f + 5980)**2/7
Factor -v**3/5 - 636*v**2/5 + 5136*v/5 - 10304/5.
-(v - 4)**2*(v + 644)/5
Factor -2187*m**3 + 88938*m**2 - 1205604*m + 5447544.
-3*(9*m - 122)**3
Factor 5*z**3 + 355*z**2 - 1485*z + 1125.
5*(z - 3)*(z - 1)*(z + 75)
Find u such that 2*u**2/7 + 2*u - 36/7 = 0.
-9, 2
What is o in 15*o**2 - 1660*o + 6400 = 0?
4, 320/3
Factor 5*c**2 - 10970*c + 6017045.
5*(c - 1097)**2
Factor 4*r**2/7 - 312*r/7 + 608/7.
4*(r - 76)*(r - 2)/7
What is y in -5*y**2 + 1000*y = 0?
0, 200
Solve -2*g**3/7 - 114*g**2/7 + 2*g/7 + 114/7 = 0.
-57, -1, 1
Determine s, given that -2*s**4 - 68*s**3 + 86*s**2 + 536*s - 840 = 0.
-35, -3, 2
Suppose -3*c**2 - 18*c + 273 = 0. What is c?
-13, 7
Suppose -4*w**3 + 16*w**2 + 4*w - 16 = 0. What is w?
-1, 1, 4
Factor -2*g**4 + 28*g**3 + 2*g**2 - 28*g.
-2*g*(g - 14)*(g - 1)*(g + 1)
Let -3*b**5/5 + 201*b**4/5 - 189*b**3/5 - 609*b**2/5 + 996*b/5 - 396/5 = 0. What is b?
-2, 1, 66
Factor -9*p**2 + 731*p - 162.
-(p - 81)*(9*p - 2)
Factor 3*k**4 + 330*k**3 + 4275*k**2.
3*k**2*(k + 15)*(k + 95)
Factor -l**2/4 + 33*l - 131/4.
-(l - 131)*(l - 1)/4
Let w**5/4 + 2*w**4 + 17*w**3/4 - w**2/2 - 6*w = 0. What is w?
-4, -3, -2, 0, 1
Find b such that -28*b**4 + 208*b**3 - 364*b**2 + 120*b = 0.
0, 3/7, 2, 5
Suppose -2*i**4/15 + 32*i**3/15 - 56*i**2/15 = 0. Calculate i.
0, 2, 14
Find g such that 48*g**4 - 244*g**3 + 384*g**2 - 144*g - 64 = 0.
-1/4, 4/3, 2
Factor -472*f**2 - 476*f - 4.
-4*(f + 1)*(118*f + 1)
Determine a, given that -2*a**4/9 - 28*a**3/9 - 34*a**2/3 - 12*a = 0.
-9, -3, -2, 0
Factor -4*c**2 + 10488*c - 6874884.
-4*(c - 1311)**2
What is g in g**5 + 457*g**4 - 917*g**3 + 459*g**2 = 0?
-459, 0, 1
Factor 3*i**2/4 + 255*i/4 + 249/2.
3*(i + 2)*(i + 83)/4
Factor -2*x**3/5 - 134*x**2 - 55776*x/5 + 56448/5.
-2*(x - 1)*(x + 168)**2/5
Solve s**2/2 + 7*s/2 = 0 for s.
-7, 0
Factor 4*z**3/3 + 288*z**2 + 20736*z + 497664.
4*(z + 72)**3/3
Suppose -3*o**3 + 48*o**2 - 177*o + 132 = 0. What is o?
1, 4, 11
Factor -32*g**3/3 + 592*g**2 + 298*g + 112/3.
-2*(g - 56)*(4*g + 1)**2/3
Solve 9*k**3/7 + 6135*k**2/7 + 1044483*k/7 - 348843/7 = 0.
-341, 1/3
Factor -r**2/5 + 74*r/5 - 213/5.
-(r - 71)*(r - 3)/5
Solve 3*s**4 - 9*s**3 - 45*s**2 + 57*s + 90 = 0.
-3, -1, 2, 5
Solve -4*h**4 + 16*h**3 - 16*h**2 = 0.
0, 2
Factor -2*v**4 + 182*v**3.
-2*v**3*(v - 91)
Factor -5*t**3 + 365*t**2 + 5*t - 365.
-5*(t - 73)*(t - 1)*(t + 1)
Factor f**2/10 + 33*f/10 + 31/5.
(f + 2)*(f + 31)/10
Determine n, given that -n**4 - 680*n**3 - 173400*n**2 - 19652000*n - 835210000 = 0.
-170
Factor -2*u**4/5 + 4*u**3/5 + 8*u**2 + 48*u/5.
-2*u*(u - 6)*(u + 2)**2/5
Let d**2 - 51*d = 0. What is d?
0, 51
Let -14*v**4/3 + 227*v**3/3 - 408*v**2 + 756*v - 144 = 0. Calculate v.
3/14, 4, 6
Find l, given that 3*l**4 + 36*l**3 + 108*l**2 = 0.
-6, 0
Let 5*u**3 + 1485*u**2 + 147015*u + 4851495 = 0. Calculate u.
-99
What is j in -4*j**2 + 440*j + 896 = 0?
-2, 112
Factor t**3/5 + 48*t**2/5 - 151*t/5 + 102/5.
(t - 2)*(t - 1)*(t + 51)/5
Solve -4*l**5/5 + 8*l**4 - 96*l**3/5 - 8*l**2 + 20*l = 0 for l.
-1, 0, 1, 5
What is v in v**4/3 + 7*v**3/3 + 11*v**2/3 + 5*v/3 = 0?
-5, -1, 0
Let 2*h**3/3 - 10004*h**2/3 + 20002*h/3 - 10000/3 = 0. What is h?
1, 5000
Factor -4*y**2/3 + 256*y/3 - 496/3.
-4*(y - 62)*(y - 2)/3
Let 5*p**4 + 40*p**3 - 285*p**2 + 500*p - 260 = 0. Calculate p.
-13, 1, 2
What is a in a**2 + 10*a - 171 = 0?
-19, 9
Factor 3*l**4 - 15*l**3 - 96*l**2 - 108*l.
3*l*(l - 9)*(l + 2)**2
Determine z so that -7*z**3 - 40*z**2 + 61*z - 14 = 0.
-7, 2/7, 1
What is o in 5*o**4 + 15*o**3 + 5*o**2 - 15*o - 10 = 0?
-2, -1, 1
Suppose -2*t**2/5 + 10*t - 92/5 = 0. What is t?
2, 23
Solve 3*h**5 + 81*h**4 + 582*h**3 + 426*h**2 - 585*h - 507 = 0 for h.
-13, -1, 1
Determine p, given that -3*p**3 - 18*p**2 - 33*p - 18 = 0.
-3, -2, -1
What is v in 4*v**2 - 632*v + 24964 = 0?
79
Factor -2*t**3/11 - 204*t**2/11 + 414*t/11 - 208/11.
-2*(t - 1)**2*(t + 104)/11
Let 3*a**4 - 66*a**3 + 231*a**2 - 276*a + 108 = 0. Calculate a.
1, 2, 18
Let -3*s**3/8 + 495*s**2/8 - 27225*s/8 + 499125/8 = 0. What is s?
55
Let 4*i**5 - 40*i**3 + 36*i = 0. Calculate i.
-3, -1, 0, 1, 3
Factor -v**4/6 + 29*v**3/2 - 85*v**2/3.
-v**2*(v - 85)*(v - 2)/6
Factor 15*b**3 + 250*b**2 - 355*b + 90.
5*(b - 1)*(b + 18)*(3*b - 1)
Factor -5*x**2 - 955*x - 950.
-5*(x + 1)*(x + 190)
Find l, given that -3*l**4/8 - 49*l**3/8 + l**2/8 + 1837*l/8 - 605/4 = 0.
-11, 2/3, 5
Factor i**2/3 + 8*i + 48.
(i + 12)**2/3
Suppose 2*y**3/19 + 108*y**2/19 + 490*y/19 = 0. What is y?
-49, -5, 0
Factor -f**2/6 + 56*f/3 - 37/2.
-(f - 111)*(f - 1)/6
Let -16*r**5 + 668*r**4/3 - 568*r**3/3 - 12148*r**2/3 - 5520*r - 432 = 0. What is r?
-2, -1/12, 9
Factor -2*m**2/7 + 1486*m/7.
-2*m*(m - 743)/7
Suppose 3*d**4/5 + 42*d**3/5 + 39*d**2/5 = 0. What is d?
-13, -1, 0
Let -2*m**2/19 - 8*m/19 + 10/19 = 0. Calculate m.
-5, 1
Suppose 2*l**2/13 - 2460*l/13 + 756450/13 = 0. Calculate l.
615
Factor -x**2 - 262*x - 1536.
-(x + 6)*(x + 256)
Factor 2*g**3/3 - 4*g**2 - 24*g - 80/3.
2*(g - 10)*(g + 2)**2/3
What is i in -i**4/5 - 19*i**3 - 2208*i**2/5 + 2304*i/5 = 0?
-48, 0, 1
Factor 4*h**3 - 1676*h**2 - 3364*h - 1684.
4*(h - 421)*(h + 1)**2
Factor 10*y**5 + 276*y**4 - 112*y**3.
2*y**3*(y + 28)*(5*y - 2)
What is w in -4*w**5/7 + 136*w**4/7 - 1284*w**3/7 + 2176*w**2/7 - 1024*w/7 = 0?
0, 1, 16
Factor 3*f**4 - 15*f**3 + 18*f**2.
3*f**2*(f - 3)*(f - 2)
Find r such that -75*r**4 - 595*r**3 + 115*r**2 + 595*r - 4