iven that -242*i**3/9 + 5192*i**2/3 - 1880*i/3 + 512/9 = 0.
2/11, 64
Factor 3*v**3 + 486*v**2 + 22995*v + 338100.
3*(v + 35)**2*(v + 92)
Factor 2*q**5/7 - 638*q**4/7 + 2528*q**3/7 - 360*q**2.
2*q**2*(q - 315)*(q - 2)**2/7
Determine q so that -25*q**2/9 - 14560*q/3 - 2119936 = 0.
-4368/5
Solve 5*d**3 + 215*d**2 + 2095*d + 1885 = 0.
-29, -13, -1
Factor 4*l**3 - 186620*l**2 - 373252*l - 186628.
4*(l - 46657)*(l + 1)**2
Factor c**4/7 - 828*c**3/7 - 237*c**2 - 830*c/7.
c*(c - 830)*(c + 1)**2/7
Factor u**4 + 297*u**3 - 6922*u**2 + 30912*u + 91872.
(u - 12)**2*(u + 2)*(u + 319)
Suppose -4*o**3 - 20720*o**2 - 26853108*o - 53623368 = 0. Calculate o.
-2589, -2
Factor 2*d**2 + 1672*d + 9960.
2*(d + 6)*(d + 830)
Factor 2*w**3/7 - 4434*w**2/7 + 2455326*w/7 + 2459762/7.
2*(w - 1109)**2*(w + 1)/7
Factor 23*d**3/2 - 1575*d**2/2 + 25725*d/2 + 42875/2.
(d - 35)**2*(23*d + 35)/2
Find q such that -2*q**2/13 - 82708*q/13 - 1735986/13 = 0.
-41333, -21
Let 4*h**3/5 + 3488*h**2 + 52292*h/5 + 34856/5 = 0. What is h?
-4357, -2, -1
Suppose -3*l**5/7 + 237*l**4/7 + 486*l**3/7 + 6*l**2/7 - 69*l - 243/7 = 0. What is l?
-1, 1, 81
Solve -2*o**4 - 508*o**3 + 1024*o**2 = 0.
-256, 0, 2
Factor p**3/2 + 1344*p**2 - 5382*p + 5384.
(p - 2)**2*(p + 2692)/2
Let -289*x**3/2 - 701471*x**2/2 - 82520*x - 4854 = 0. Calculate x.
-2427, -2/17
Solve 32*z**3 + 198224*z**2 + 99106*z + 12388 = 0.
-6194, -1/4
Find f, given that 4*f**3 - 2900*f**2 - 5956*f + 101780 = 0.
-7, 5, 727
Factor 2*j**4/9 + 49886*j**3/9 + 138261820*j**2/3 + 1149785261864*j/9 + 1149370526288/9.
2*(j + 1)*(j + 8314)**3/9
What is t in t**4/7 + 97*t**3/7 + 329*t**2 - 343*t = 0?
-49, 0, 1
Determine f so that 2*f**3/17 + 28*f**2/17 - 1274*f/17 + 6860/17 = 0.
-35, 7, 14
Determine g so that 5*g**2 + 72890*g - 218715 = 0.
-14581, 3
Find v, given that 6*v**3/7 + 26*v**2 - 2208*v/7 + 640 = 0.
-40, 8/3, 7
Factor p**4/2 - 23*p**3 + 282*p**2 - 308*p - 1936.
(p - 22)**2*(p - 4)*(p + 2)/2
Factor 2*m**2/11 + 5108*m/11 + 50880/11.
2*(m + 10)*(m + 2544)/11
Find o such that -2*o**5/7 - 40*o**4 + 5520*o**3/7 - 26240*o**2/7 + 47840*o/7 - 30336/7 = 0.
-158, 2, 12
Suppose 12*k**5/7 + 892*k**4/7 + 9804*k**3/7 + 2580*k**2/7 - 6344*k/7 = 0. Calculate k.
-61, -13, -1, 0, 2/3
Find h, given that -4*h**3 + 652*h**2 + 15376*h + 14720 = 0.
-20, -1, 184
Factor -2*w**2/17 + 164744*w/17 - 494214/17.
-2*(w - 82369)*(w - 3)/17
Factor 2*m**2/9 + 23194*m/9 + 23192/9.
2*(m + 1)*(m + 11596)/9
Let -2*c**3/7 + 326*c**2/7 + 244*c - 672 = 0. What is c?
-7, 2, 168
Factor 2*g**4/13 + 32360*g**3/13 + 130960904*g**2/13 + 523455360*g/13 + 523325952/13.
2*(g + 2)**2*(g + 8088)**2/13
Factor -l**3 + 224*l**2/3 + 689*l + 664/3.
-(l - 83)*(l + 8)*(3*l + 1)/3
Factor 2*o**3 + 676*o**2 + 2630*o - 14028.
2*(o - 3)*(o + 7)*(o + 334)
Factor 31281649*u**4/2 - 250281157*u**3 + 894905*u**2/2 - 200*u.
u*(u - 16)*(5593*u - 5)**2/2
Solve 2*i**3 + 216*i**2 + 1774*i - 34920 = 0.
-97, -20, 9
Determine b so that 16*b**3 + 2944*b**2 - 33836*b + 94380 = 0.
-195, 11/2
Factor -4*p**2 - 8154*p + 4078.
-2*(p + 2039)*(2*p - 1)
Factor 2*j**4/7 + 986*j**3/7 - 2970*j**2/7 + 2974*j/7 - 992/7.
2*(j - 1)**3*(j + 496)/7
Find r, given that 12*r**5 - 1803*r**4 - 6972*r**3 + 6369*r**2 + 15330*r - 12936 = 0.
-4, -7/4, 1, 154
Factor d**4 - 418*d**3 - 29159*d**2 - 28740*d.
d*(d - 479)*(d + 1)*(d + 60)
What is w in -2*w**2/9 + 39704*w/3 - 197050952 = 0?
29778
Factor -j**5 + 1556*j**4 - 1555*j**3.
-j**3*(j - 1555)*(j - 1)
Factor -u**2 + 1923*u - 21032.
-(u - 1912)*(u - 11)
Determine g so that -4*g**2 - 6700*g - 20064 = 0.
-1672, -3
Solve 5*m**3 + 26165*m**2 - 26180*m - 52340 = 0.
-5234, -1, 2
What is m in 2*m**2 + 246*m - 11060 = 0?
-158, 35
Factor 4*c**2 - 11200*c.
4*c*(c - 2800)
Factor 3*j**3/5 - 480483*j**2/5 + 960957*j/5 - 480477/5.
3*(j - 160159)*(j - 1)**2/5
Solve 10*l**3/9 + 2*l**2/3 - 1228*l/9 + 560/3 = 0.
-12, 7/5, 10
Find b such that -2*b**4 + 580*b**3 + 45406*b**2 + 862080*b + 2193408 = 0.
-32, -3, 357
What is z in -z**4 - 3486*z**3 - 3027573*z**2 + 18259668*z - 27436644 = 0?
-1746, 3
Find f, given that f**5/3 - 56*f**4/3 + 347*f**3/3 - 184*f**2/3 - 196*f = 0.
-1, 0, 2, 6, 49
What is y in 2704*y**5 - 4070144*y**4 - 31746796*y**3 - 57969700*y**2 + 14670624*y - 871488 = 0?
-4, 3/26, 1513
Solve 2*f**5 - 646*f**4 + 1920*f**3 + 8*f**2 - 2560*f = 0.
-1, 0, 2, 320
Factor -x**2 - 2539054*x - 1611698803729.
-(x + 1269527)**2
Factor 5*w**3 - 24615*w**2 + 30576000*w - 690287500.
5*(w - 2450)**2*(w - 23)
Factor m**4/4 + 22*m**3 - 8522*m**2 - 396264*m + 81108036.
(m - 114)**2*(m + 158)**2/4
Determine c so that -c**2/8 + 22111*c/2 - 488896321/2 = 0.
44222
Factor -4*f**4/5 + 50752*f**3/5 - 160833016*f**2/5 - 966368832*f/5 - 1450238724/5.
-4*(f - 6347)**2*(f + 3)**2/5
Let -g**2 + 50453*g + 50454 = 0. What is g?
-1, 50454
Determine t so that 242*t**2 - 1078308*t + 1201186098 = 0.
24507/11
Solve -l**4/6 + 15371*l**3/2 + 46115*l**2/2 + 138347*l/6 + 7686 = 0.
-1, 46116
Solve 2*s**4/19 + 336364*s**3/19 + 14142592562*s**2/19 = 0 for s.
-84091, 0
Solve 4*r**5/5 + 4*r**4/5 - 284*r**3/5 - 276*r**2 - 360*r = 0.
-5, -3, 0, 10
Suppose 3*p**4 + 8613*p**3 - 199620*p**2 + 191004*p = 0. What is p?
-2894, 0, 1, 22
Solve -5*b**5 - 515*b**4 + 20*b**3 + 2060*b**2 = 0.
-103, -2, 0, 2
What is r in -5*r**5 + 325*r**4 + 4045*r**3 + 10135*r**2 + 9460*r + 3040 = 0?
-8, -1, 76
Factor -2*d**4/9 - 272*d**3/3 - 536*d**2.
-2*d**2*(d + 6)*(d + 402)/9
Factor 5*k**3 + 7370*k**2 - 74075*k + 185500.
5*(k - 5)**2*(k + 1484)
Factor 17845*h**2 + 53540*h + 15.
5*(h + 3)*(3569*h + 1)
What is q in 3*q**3 - 4776*q**2 + 1891260*q + 7641648 = 0?
-4, 798
Suppose -5*j**3 + 7610*j**2 = 0. What is j?
0, 1522
Factor s**5 - 686*s**4 + 157320*s**3 - 12164256*s**2 + 23704704*s.
s*(s - 228)**3*(s - 2)
Find c such that c**2 - 91*c - 792 = 0.
-8, 99
Factor 8*v**3/3 + 4552*v**2/3 + 31570*v/3 + 55076/3.
2*(v + 562)*(2*v + 7)**2/3
Determine n, given that n**3/4 + 181*n**2/2 - 550*n + 736 = 0.
-368, 2, 4
Solve 3*q**2/2 + 3768*q + 15048 = 0 for q.
-2508, -4
Let y**4/3 + 64*y**3/3 - 97*y**2/3 - 2020*y/3 + 1300 = 0. What is y?
-65, -6, 2, 5
Factor 1501*b**3 - 28521*b**2 + 51072*b - 68.
(b - 17)*(b - 2)*(1501*b - 2)
Find a, given that a**3 - 3628*a**2 - 7259*a - 3630 = 0.
-1, 3630
Factor -5*o**2 - 4930*o - 602745.
-5*(o + 143)*(o + 843)
Let -11*k**4 - 344*k**3 + 1843*k**2 - 1056*k - 432 = 0. What is k?
-36, -3/11, 1, 4
Solve m**5/7 + 2551*m**4/7 - 20481*m**3/7 - 23031*m**2/7 = 0.
-2559, -1, 0, 9
Let -4*t**4 - 816*t**3 - 1616*t**2 = 0. Calculate t.
-202, -2, 0
Suppose n**5/2 - 127*n**4/2 + 4055*n**3/2 + 1183*n**2/2 - 86436*n + 222264 = 0. Calculate n.
-7, 4, 63
Find z such that z**2 - 7428*z + 74180 = 0.
10, 7418
Find t, given that 3*t**4/2 - 51*t**3/2 - 663*t**2 - 1788*t - 1152 = 0.
-12, -2, -1, 32
Factor -z**3 + 941*z**2 - 6544*z + 5604.
-(z - 934)*(z - 6)*(z - 1)
Find c such that -6*c**2 - 74684*c - 24894 = 0.
-12447, -1/3
What is p in p**2/2 + 9513*p + 90497169/2 = 0?
-9513
Suppose -39*v**3/5 + 15369*v**2/5 + 15408*v/5 = 0. What is v?
-1, 0, 5136/13
Factor f**3/5 + 7928*f**2/5 + 31696*f/5.
f*(f + 4)*(f + 7924)/5
Factor 4*h**3 + 964*h**2 - 94400*h - 25440000.
4*(h - 159)*(h + 200)**2
Find z such that 2*z**3 - 3000*z**2 + 44350*z + 297000 = 0.
-5, 20, 1485
Suppose -m**5 + 111*m**4 + 2566*m**3 + 7022*m**2 + 6795*m + 2227 = 0. What is m?
-17, -1, 131
Solve 5*u**3 - 12650*u**2 + 573965*u - 6570180 = 0 for u.
23, 2484
Find q, given that -4*q**4 - 11100*q**3 - 7502556*q**2 + 276768140*q + 284259600 = 0.
-1405, -1, 36
Find y such that -3*y**3 + 35676*y**2 - 106064748*y = 0.
0, 5946
Find k, given that 3*k**4 - 2697*k**3 + 612837*k**2 - 2997135*k = 0.
0, 5, 447
Factor -g**4/5 - 763*g**3/5 - 6047*g**2/5 - 1057*g.
-g*(g + 1)*(g + 7)*(g + 755)/5
Factor -g**2/4 + 5951*g/4 - 4461.
-(g - 5948)*(g - 3)/4
Factor -2*h**2/23 - 25184*h/23 - 79279232/23.
-2*(h + 6296)**2/23
Factor 3*f**2 - 927*f + 19734.
3*(f - 286)*(f - 23)
Let g**2/3 + 2290*g/3 + 763 = 0. What is g?
-2289, -1
Factor -3*h**4/5 + 5820*h**3 - 70625664*h**2/5 + 282037248*h/5.
-3*h*(h - 4848)**2*(h - 4)/5
Suppose 10*y**3/11 + 10256*y**2/11 + 147690*y/11 + 84924/11 = 0. What is y?
-1011, -14, -3/5
Solve -21*x**3/4 + 25635*x**2/4 + 51522*x + 103212 = 0.
-4, 8601/7
What is p in p**4/5 + 27*p**3/5 + 119*p**2/5 - 147*p/5 = 0?
-21, -7, 0