, 20
Factor 13*o**3/3 - 5957*o**2/3 + 7315*o/3 - 457.
(o - 457)*(o - 1)*(13*o - 3)/3
Factor -f**2/9 - 2*f/3 + 187/9.
-(f - 11)*(f + 17)/9
Determine r so that -r**3/4 - 15*r**2 + 5508*r - 226576 = 0.
-196, 68
Factor -s**2/3 - 9539*s + 57238/3.
-(s - 2)*(s + 28619)/3
Suppose b**3/7 + 828*b**2/7 + 3743*b - 27030/7 = 0. What is b?
-795, -34, 1
Find x such that 15*x**5 + 216*x**4 - 321*x**3 - 11262*x**2 - 14940*x - 4200 = 0.
-10, -1, -2/5, 7
Suppose 2*d**3 + 280*d**2 + 552*d = 0. Calculate d.
-138, -2, 0
Find i such that i**5/2 - 4*i**4 - 37*i**3/2 + 16*i**2 + 66*i = 0.
-3, -2, 0, 2, 11
Factor 5*p**2 + 380*p - 25585.
5*(p - 43)*(p + 119)
Determine h so that 4*h**4 - 948*h**3 - 20492*h**2 - 17628*h + 39064 = 0.
-19, -2, 1, 257
Find i, given that 2*i**2/9 - 5134*i/9 = 0.
0, 2567
Factor k**2 + 5271*k + 348668.
(k + 67)*(k + 5204)
Factor 2*j**2/7 + 117972*j/7 + 117970/7.
2*(j + 1)*(j + 58985)/7
Suppose a**3/3 - 63*a**2 - 1738*a - 29104/3 = 0. What is a?
-17, -8, 214
Let 2*s**2 + 2388*s + 675280 = 0. Calculate s.
-734, -460
Factor -j**3 + 4471*j**2 - 13404*j.
-j*(j - 4468)*(j - 3)
Find b such that 8*b**5/3 - 182*b**4/3 + 142*b**3 + 302*b**2/3 - 434*b/3 - 40 = 0.
-1, -1/4, 1, 3, 20
Factor -3*a**2/8 - 771*a/4 - 18528.
-3*(a + 128)*(a + 386)/8
Find b such that -2*b**2/9 - 34000*b/9 - 144500000/9 = 0.
-8500
Suppose -3*n**3/5 + 2334*n**2/5 - 4623*n + 11520 = 0. Calculate n.
5, 768
Factor -3*y**2 - 10791*y + 21594.
-3*(y - 2)*(y + 3599)
Find k such that 5*k**2 + 50945*k + 203700 = 0.
-10185, -4
Factor 2*q**5/13 - 57062*q**4/13 + 57060*q**3/13.
2*q**3*(q - 28530)*(q - 1)/13
Determine x so that x**3 + 324*x**2 + 323*x = 0.
-323, -1, 0
Factor -q**4/2 - 51*q**3 - 1240*q**2.
-q**2*(q + 40)*(q + 62)/2
Solve -2*c**2 + 166104*c - 3448817352 = 0.
41526
Let -x**5 - 44*x**4 - 364*x**3 - 806*x**2 + 365*x + 850 = 0. What is x?
-34, -5, -1, 1
Factor 10*t**2/3 - 36244*t/9 + 4832/9.
2*(t - 1208)*(15*t - 2)/9
Determine i, given that 3*i**4/5 - 38712*i**3/5 + 124846182*i**2/5 + 249963408*i/5 - 374770881/5 = 0.
-3, 1, 6453
What is z in 2*z**3/21 + 200*z**2/21 - 13726*z/21 + 644 = 0?
-147, 1, 46
Let 4*u**4/3 + 6311*u**3/6 + 3937*u**2/2 + 4721*u/6 - 787/6 = 0. Calculate u.
-787, -1, 1/8
What is g in g**2/3 + 187*g/3 - 1380 = 0?
-207, 20
Let 4*x**5/5 - 176*x**4/5 - 196*x**3 - 16*x**2 + 3856*x/5 + 3136/5 = 0. What is x?
-4, -2, -1, 2, 49
Determine v, given that -3*v**2/2 - 42198*v - 296778534 = 0.
-14066
Factor -8*o**2/7 + 16006*o/7 - 12000/7.
-2*(o - 2000)*(4*o - 3)/7
Determine i so that -3*i**2/4 - 1233*i/2 - 6090 = 0.
-812, -10
Suppose 2*x**2 + 131562*x - 263132 = 0. What is x?
-65783, 2
Factor 3*k**3 - 807*k**2 + 72297*k - 2157165.
3*(k - 95)*(k - 87)**2
Find p such that -3*p**5 - 15678*p**4 - 140883*p**3 - 125208*p**2 = 0.
-5217, -8, -1, 0
Factor w**4 + 59*w**3 + 600*w**2 + 1692*w.
w*(w + 6)**2*(w + 47)
Find n such that -4*n**4/3 - 2272*n**3/3 - 35468*n**2/3 - 77072*n/3 + 38272 = 0.
-552, -13, -4, 1
Factor -4*p**2 + 38952*p + 77920.
-4*(p - 9740)*(p + 2)
Let 3*l**5 + 594*l**4 + 31104*l**3 + 165888*l**2 = 0. What is l?
-96, -6, 0
Factor d**3/6 + 853*d**2/6 - 285*d.
d*(d - 2)*(d + 855)/6
Suppose l**5 - 148*l**4 + 8011*l**3 - 187424*l**2 + 1541120*l + 1736704 = 0. Calculate l.
-1, 32, 53
Find d such that -d**3 + 169*d**2 - 6379*d - 6549 = 0.
-1, 59, 111
Factor -k**3/6 - 491*k**2/3 - 6835*k/6 - 1625.
-(k + 2)*(k + 5)*(k + 975)/6
Factor -4*n**2 - 762364*n - 762360.
-4*(n + 1)*(n + 190590)
What is k in -2*k**2 - 7362*k - 618340 = 0?
-3595, -86
Factor 5*x**2 + 1165*x - 2350.
5*(x - 2)*(x + 235)
Let -125*i**5 - 1481775*i**4 + 39777605*i**3 - 282096925*i**2 + 206963640*i - 40157780 = 0. What is i?
-11881, 2/5, 13
Factor 184264564178*y**2/13 + 2428264*y/13 + 8/13.
2*(303533*y + 2)**2/13
Solve j**5/2 + 346*j**4 - 1387*j**3/2 + 347*j**2 = 0 for j.
-694, 0, 1
Suppose 321*t**3/2 - 498519*t**2/2 + 4659*t = 0. What is t?
0, 2/107, 1553
Determine m so that 5*m**5/2 + 4*m**4 - 53*m**3/2 - 34*m**2 + 66*m + 72 = 0.
-3, -2, -1, 2, 12/5
Factor 3*h**3 + 14886*h**2 + 18495819*h + 73745292.
3*(h + 4)*(h + 2479)**2
Factor 2*u**2/7 + 634*u + 8868/7.
2*(u + 2)*(u + 2217)/7
Factor 4*m**3 - 2152*m**2 - 127872*m.
4*m*(m - 592)*(m + 54)
Factor 2*q**3 - 176*q**2 + 5152*q - 50176.
2*(q - 32)*(q - 28)**2
What is v in 4*v**3 - 1080*v**2 + 15524*v - 57120 = 0?
7, 8, 255
Suppose -b**4/3 + 29*b**3 + 1201*b**2/3 - 429*b = 0. What is b?
-13, 0, 1, 99
Solve -4*s**2 + 103912*s + 207840 = 0 for s.
-2, 25980
Factor 2*b**4 - 68*b**3 + 482*b**2 + 552*b.
2*b*(b - 23)*(b - 12)*(b + 1)
Suppose u**5/3 + 14*u**4 - 47*u**3/3 - 56*u**2 + 172*u/3 = 0. What is u?
-43, -2, 0, 1, 2
Solve 6*d**5 + 177*d**4 + 678*d**3 + 12*d**2 - 1548*d + 675 = 0 for d.
-25, -3, 1/2, 1
Suppose -2*n**5/17 + 14*n**4/17 - 28*n**3/17 + 16*n**2/17 = 0. What is n?
0, 1, 2, 4
Determine r, given that 415*r**4 + 1025*r**3 - 660*r**2 - 1660*r + 880 = 0.
-2, 44/83, 1
Factor 49298*o**3/19 + 1924506*o**2/19 + 73494*o/19 + 702/19.
2*(o + 39)*(157*o + 3)**2/19
Find i such that -i**2/2 + 345*i - 2052 = 0.
6, 684
Factor r**2/7 - 3066710*r/7 + 2351177556025/7.
(r - 1533355)**2/7
What is o in o**4 + 309*o**3/2 + 3275*o**2 - 3819*o/2 - 5031 = 0?
-129, -26, -1, 3/2
Factor h**3/5 - 81*h**2 + 38688*h/5 + 475904/5.
(h - 208)**2*(h + 11)/5
Factor -2*c**2/7 - 46164*c/7.
-2*c*(c + 23082)/7
Find q such that -q**4/2 - 20*q**3 + 1141*q**2/2 + 590*q = 0.
-59, -1, 0, 20
Factor f**3/3 + 131*f**2 - 5713*f/3 - 2035.
(f - 15)*(f + 1)*(f + 407)/3
Factor 3*o**2/7 - 6255*o + 393822/7.
3*(o - 14586)*(o - 9)/7
Determine s so that -s**2 + 45264*s - 512207424 = 0.
22632
Factor 2*x**2/5 - 162268*x/5 + 3291362978/5.
2*(x - 40567)**2/5
Solve -5*w**4 + 100*w**3 - 285*w**2 - 610*w + 800 = 0 for w.
-2, 1, 5, 16
Factor s**3/9 + 1319*s**2/3 + 1304161*s/3 - 3916441/9.
(s - 1)*(s + 1979)**2/9
Find c, given that 4*c**4 + 50*c**3 - 1398*c**2 - 3236*c + 11600 = 0.
-25, -4, 2, 29/2
What is f in 5*f**2 + 18795970*f + 17664424412045 = 0?
-1879597
What is c in 8*c**3/15 - 454*c**2/15 - 518*c/5 - 24 = 0?
-3, -1/4, 60
Find j, given that -j**3 - 6209*j**2 + 55954*j - 49744 = 0.
-6218, 1, 8
Let v**3/6 - 195*v**2/2 - 3553*v/6 + 1379/2 = 0. Calculate v.
-7, 1, 591
Suppose 2*j**2/15 - 954*j/5 + 5716/15 = 0. What is j?
2, 1429
Solve 2*l**4 - 18*l**3 - 440*l**2 + 2856*l = 0 for l.
-14, 0, 6, 17
Factor s**2/2 - 437*s - 8028.
(s - 892)*(s + 18)/2
Solve 3*i**5 + 171*i**4 + 1647*i**3 + 6141*i**2 + 9630*i + 4968 = 0 for i.
-46, -4, -3, -1
Let 4*b**4/7 - 23696*b**3/7 - 189964*b**2/7 + 118472*b + 996576 = 0. Calculate b.
-7, 6, 5932
Let -2*b**3 - 19364*b**2 - 58078*b - 38716 = 0. Calculate b.
-9679, -2, -1
Suppose 12*x**4 + 88*x**3 - 16*x**2 - 280*x + 196 = 0. What is x?
-7, -7/3, 1
Factor -5*w**2 + 27885*w + 756540.
-5*(w - 5604)*(w + 27)
Solve -h**2 + 17725*h - 53166 = 0 for h.
3, 17722
Determine z so that 5*z**3 - 1145*z**2 + 1140*z = 0.
0, 1, 228
Find k such that -2*k**2 - 511000*k + 511002 = 0.
-255501, 1
Factor -3*i**2/7 + 2718*i/7 + 223155.
-3*(i - 1305)*(i + 399)/7
Factor 2*x**4 + 1380*x**3 + 2752*x**2.
2*x**2*(x + 2)*(x + 688)
Let 3*x**2 + 75*x - 8118 = 0. What is x?
-66, 41
Suppose -g**5/7 - 134*g**4/7 - 5542*g**3/7 - 102492*g**2/7 - 889785*g/7 - 2965950/7 = 0. Calculate g.
-78, -15, -13
Factor -4*x**2 + 255152*x - 4068908944.
-4*(x - 31894)**2
Solve x**5/3 + 22*x**4 - 1283*x**3/3 - 32272*x**2 + 400468*x/3 - 134832 = 0 for x.
-53, 2, 36
Suppose -15*b**2 - 16329*b - 9792 = 0. Calculate b.
-1088, -3/5
What is z in 4*z**3/7 - 128*z**2/7 - 6540*z/7 - 55800/7 = 0?
-15, 62
Determine x so that x**2/3 + 3349*x/3 - 8952 = 0.
-3357, 8
Solve -2*x**3/9 + 332*x**2/9 - 850*x - 10800 = 0.
-9, 40, 135
Factor -q**3/8 - 1113*q**2/2 + 66979*q/8 - 58071/4.
-(q - 13)*(q - 2)*(q + 4467)/8
Solve 2*a**3 + 12558*a**2 + 25108*a = 0.
-6277, -2, 0
Factor 2*w**4 + 34*w**3.
2*w**3*(w + 17)
Let -744*z**4 - 15013*z**3 - 5323*z**2/2 - 30*z = 0. What is z?
-20, -1/6, -3/248, 0
Solve -58260*v**2 + 873908*v - 120 = 0.
2/14565, 15
Solve 3*f**3 + 7227*f**2 - 1008819*f + 34246581 = 0.
-2543, 67
Factor -2*f**3 + 662*f**2 + 8210*f + 7546.
-2*(f - 343)*(f + 1)*(f + 11)
Factor p**4/7 - 45*p**3/7 + 6*p**2 + 88*p/7.
p*(p - 44)*(p - 2)*(p + 1)/7
Factor -50*c**3/7 + 21430*c**2/7 - 332576*c + 970368.
-2*(c - 3)*(5*c - 1064)**2/7
Factor y**3 + 1184622*y**2 + 3