 6)
Factor -d**2/6 + 11525*d - 398476875/2.
-(d - 34575)**2/6
Factor 3*h**3/2 - 18345*h**2 + 36687*h/2.
3*h*(h - 12229)*(h - 1)/2
Solve 2*p**3 - 128*p**2 - 398*p - 268 = 0.
-2, -1, 67
Factor -2*v**3/7 - 114*v**2/7 + 482*v/7 - 366/7.
-2*(v - 3)*(v - 1)*(v + 61)/7
Factor 3*c**3 + 825*c**2 + 8802*c + 23760.
3*(c + 5)*(c + 6)*(c + 264)
Factor -118*m**2/3 + 739*m/3 - 62.
-(m - 6)*(118*m - 31)/3
Let -u**2/7 - 351*u/7 - 21870/7 = 0. Calculate u.
-270, -81
Solve 3*f**4/5 + 2538*f**3/5 + 606999*f**2/5 + 28724976*f/5 + 28120512/5 = 0.
-392, -61, -1
Factor i**2 - 2945*i - 8844.
(i - 2948)*(i + 3)
Factor z**4/3 + 4*z**3/3 - 25*z**2/3 - 28*z/3.
z*(z - 4)*(z + 1)*(z + 7)/3
Let 11*b**4/6 + 91367*b**3/3 - 171683*b**2/2 + 132922*b/3 + 33230/3 = 0. What is b?
-16615, -2/11, 1, 2
Suppose 4*w**2/5 + 15852*w/5 + 31688/5 = 0. What is w?
-3961, -2
Factor 2*k**2 - 1394*k - 1396.
2*(k - 698)*(k + 1)
Find i such that 3*i**4/5 + 933*i**3/5 - 2826*i**2/5 = 0.
-314, 0, 3
Let t**3/2 + 38*t**2 + 512*t + 1920 = 0. Calculate t.
-60, -8
Factor 4*y**3/7 + 220*y**2 + 10552*y/7 - 1728.
4*(y - 1)*(y + 8)*(y + 378)/7
Solve 42*n**5 - 57*n**4 - 294*n**3 + 147*n**2 + 342*n = 0.
-2, -1, 0, 19/14, 3
Solve 2*k**2 - 58204*k + 423463202 = 0 for k.
14551
Factor -2*b**2 - 264*b.
-2*b*(b + 132)
Let -2*y**4 - 208*y**3 - 4608*y**2 = 0. Calculate y.
-72, -32, 0
Factor m**4/3 + 44*m**3 + 98*m**2/3 - 1420*m + 2751.
(m - 3)**2*(m + 7)*(m + 131)/3
Determine m, given that m**2/3 + 211*m/3 - 3632/3 = 0.
-227, 16
Let 3*f**2/7 - 375*f - 5334 = 0. What is f?
-14, 889
Suppose -2*m**3/9 - 620*m**2/3 - 618*m = 0. What is m?
-927, -3, 0
Factor -2*h**2/5 - 152*h/5 - 2646/5.
-2*(h + 27)*(h + 49)/5
Let -4*b**2 - 210824*b = 0. Calculate b.
-52706, 0
Factor -4*f**2 - 12744600*f - 10151551822500.
-4*(f + 1593075)**2
Factor -12*l**2 + 2253*l - 68286.
-3*(l - 38)*(4*l - 599)
Determine x so that -4611380805*x**2 + 11540220*x - 7220 = 0.
38/30369
Factor 39*f**4 + 668*f**3 + 3517*f**2 + 6056*f + 720.
(f + 4)**2*(f + 9)*(39*f + 5)
Factor -5*j**3 + 148050*j**2 - 5324940*j + 47909880.
-5*(j - 29574)*(j - 18)**2
Determine y, given that -5*y**4 + 85*y**3 + 95*y**2 - 85*y - 90 = 0.
-1, 1, 18
Suppose g**3 - 10194*g**2 - 40788*g - 40792 = 0. What is g?
-2, 10198
Factor 3*h**2 + 127983*h + 127980.
3*(h + 1)*(h + 42660)
Solve k**3 - 7859*k**2 + 15437040*k + 15444900 = 0.
-1, 3930
Factor r**2 + 195*r - 150094.
(r - 302)*(r + 497)
Suppose t**3/3 + 38*t**2/3 - 881*t - 4680 = 0. What is t?
-72, -5, 39
What is q in q**5/8 - 39*q**4/8 - 91*q**3/8 + 3459*q**2/8 + 1755*q/4 = 0?
-9, -1, 0, 10, 39
Suppose -3*h**2/2 - 2274*h + 9120 = 0. What is h?
-1520, 4
Find d such that d**4 + 175301*d**3 - 525909*d**2 + 525911*d - 175304 = 0.
-175304, 1
Let 2*g**2/15 + 4496*g/3 + 127194/5 = 0. What is g?
-11223, -17
Let -v**3 - 97*v**2 + 6110*v + 12600 = 0. What is v?
-140, -2, 45
Let -u**5/3 - 6*u**4 - 94*u**3/3 - 36*u**2 + 95*u/3 + 42 = 0. Calculate u.
-9, -7, -2, -1, 1
Determine p, given that -2*p**3/5 + 440*p**2 - 17502*p/5 + 6552 = 0.
3, 5, 1092
Solve -3*z**5/4 + 81*z**4/4 - 327*z**3/4 - 3501*z**2/4 + 2055*z/2 + 1800 = 0 for z.
-5, -1, 2, 15, 16
Find x such that -x**3/6 + 1106*x**2 - 3663063*x/2 - 11029041 = 0.
-6, 3321
Factor 2*f**2 - 1286*f + 1284.
2*(f - 642)*(f - 1)
Find n such that -4*n**3 - 38676*n**2 + 77364*n - 38684 = 0.
-9671, 1
Factor -2*w**3/5 - 133814*w**2/5 - 2238206416*w/5 + 2238340232/5.
-2*(w - 1)*(w + 33454)**2/5
Solve -4*m**3 - 161088*m**2 - 1622317140*m - 9728104536 = 0.
-20133, -6
Determine h, given that -2*h**3 + 602*h**2 + 389314*h + 388710 = 0.
-315, -1, 617
What is p in 2*p**4 - 3218*p**3 + 1292830*p**2 + 1296050*p = 0?
-1, 0, 805
Factor 2*u**2/23 - 4054*u/23.
2*u*(u - 2027)/23
Let -g**4/4 - 275*g**3/4 - 2143*g**2/4 - 1869*g/4 = 0. What is g?
-267, -7, -1, 0
Suppose -56*z**5 - 1678*z**4 + 1464*z**3 + 42070*z**2 - 1600*z - 3000 = 0. Calculate z.
-30, -5, -1/4, 2/7, 5
Factor 982*z**3/3 - 3925*z**2/3 + 978*z + 3.
(z - 3)*(z - 1)*(982*z + 3)/3
Factor -4*j**3 + 97208*j**2 + 36*j - 874872.
-4*(j - 24302)*(j - 3)*(j + 3)
What is u in -2*u**5/13 + 90*u**4/13 - 590*u**3/13 - 90*u**2/13 + 592*u/13 = 0?
-1, 0, 1, 8, 37
What is y in -y**5/3 + 26*y**4 + 338*y**3/3 - 264*y**2 - 2281*y/3 - 410 = 0?
-5, -1, 3, 82
Determine w, given that -2*w**5 + 538*w**4 - 1060*w**3 - 2140*w**2 + 1062*w + 1602 = 0.
-1, 1, 3, 267
Factor -2*h**2/5 + 574*h/5 + 2456.
-2*(h - 307)*(h + 20)/5
Factor -2*q**2/7 - 55900*q - 782592/7.
-2*(q + 2)*(q + 195648)/7
Factor -u**3/3 - 115*u**2 - 4468*u - 48160/3.
-(u + 4)*(u + 40)*(u + 301)/3
Solve 5*w**2/6 + 1253335*w/3 + 314169724445/6 = 0.
-250667
Suppose 2*n**3 - 15158*n**2 + 28652288*n + 259099848 = 0. Calculate n.
-9, 3794
What is s in 3*s**5/2 - 168*s**4 + 1941*s**3/2 - 1758*s**2 + 954*s = 0?
0, 1, 2, 3, 106
Determine t, given that t**4 + 1619*t**3 - 8117*t**2 + 4881*t + 14616 = 0.
-1624, -1, 3
Factor 3*q**3/8 - 231*q**2/4 + 14943*q/8 + 1926.
3*(q - 107)*(q - 48)*(q + 1)/8
Factor 3*d**3/7 - 498*d**2/7 + 20667*d/7.
3*d*(d - 83)**2/7
Factor -4*j**3/7 - 192*j**2/7 - 44*j + 2760/7.
-4*(j - 3)*(j + 5)*(j + 46)/7
Factor -2*b**2/15 - 15452*b/5 - 89536614/5.
-2*(b + 11589)**2/15
Factor f**3/3 + 640*f**2/3 - f/3 - 640/3.
(f - 1)*(f + 1)*(f + 640)/3
Suppose 3*h**4/2 - 3271*h**3/2 - 5459*h**2/2 - 1093*h/2 + 546 = 0. Calculate h.
-1, 1/3, 1092
Find t, given that 5*t**3 + 395*t**2 - 18200*t - 1494500 = 0.
-70, 61
Solve b**3/5 + 1762*b**2/5 - 8829*b/5 + 10602/5 = 0 for b.
-1767, 2, 3
Solve -2*q**5 - 10*q**4 + 274*q**3 - 510*q**2 - 1872*q - 1080 = 0 for q.
-15, -1, 6
Determine z so that -4*z**3 + 2076*z**2 + 12628*z - 14700 = 0.
-7, 1, 525
Factor z**4 + 4006*z**3 + 4012008*z**2 - 4006*z - 4012009.
(z - 1)*(z + 1)*(z + 2003)**2
Factor g**3/3 + 2368*g**2/3.
g**2*(g + 2368)/3
Suppose 26*f**5 - 4944*f**4 + 235384*f**3 - 31156*f**2 - 235410*f + 36100 = 0. Calculate f.
-1, 2/13, 1, 95
What is j in -2*j**2 - 329046*j = 0?
-164523, 0
Solve 10*l**4/9 - 496*l**3/9 - 1796*l**2/9 - 112*l/3 + 106 = 0.
-3, -1, 3/5, 53
Factor 3*p**4 + 522*p**3 + 1539*p**2 - 12*p - 2052.
3*(p - 1)*(p + 2)**2*(p + 171)
Factor -f**2 + 1951*f + 27510.
-(f - 1965)*(f + 14)
Determine r, given that -14*r**5/9 + 94*r**4/3 - 782*r**3/9 + 194*r**2/3 - 68*r/9 = 0.
0, 1/7, 1, 2, 17
Suppose -4*p**4 - 63232*p**3 - 332958312*p**2 - 582782927840*p + 6450984382348 = 0. What is p?
-5273, 11
Suppose 2*z**3 + 902*z**2 - 17720*z + 65800 = 0. Calculate z.
-470, 5, 14
Suppose -845*t**4 - 8970*t**3 - 16200*t**2 + 80730*t + 214245 = 0. Calculate t.
-69/13, -3, 3
Suppose -20*s**3 + 14168*s**2 - 61984*s + 22528 = 0. What is s?
2/5, 4, 704
Find r, given that 2*r**4 + 2348*r**3 - 213022*r**2 + 4659480*r = 0.
-1260, 0, 43
Determine c so that -183*c**3/7 + 1046*c**2 - 80*c/7 = 0.
0, 2/183, 40
Find b such that -1455*b**5 + 30100*b**4 - 132055*b**3 - 65190*b**2 + 96460*b - 1960 = 0.
-1, 2/97, 2/3, 7, 14
Factor d**3/3 + 36319*d**2/3.
d**2*(d + 36319)/3
Suppose -2*l**4/13 + 1154*l**3/13 - 11314*l**2/13 - 14786*l/13 + 24948/13 = 0. What is l?
-2, 1, 11, 567
Factor s**3 - 153*s**2 + 6351*s - 79895.
(s - 95)*(s - 29)**2
Determine w, given that -5*w**4 - 1775*w**3 + 19955*w**2 - 63925*w + 45750 = 0.
-366, 1, 5
Suppose -3*o**2/4 + 33*o + 4200 = 0. Calculate o.
-56, 100
Suppose x**4/3 - 76*x**3/3 + 625*x**2 - 15800*x/3 + 14000/3 = 0. What is x?
1, 20, 35
Factor 2*i**2 - 5788*i + 739680.
2*(i - 2760)*(i - 134)
Factor -14*l**2 - 632200*l + 541896.
-2*(l + 45158)*(7*l - 6)
Factor c**3/5 - 68*c**2/5 - 8779*c/5 - 1742.
(c - 134)*(c + 1)*(c + 65)/5
Determine d so that -2*d**3/3 + 23464*d**2/3 + 93898*d/3 - 39120 = 0.
-5, 1, 11736
Find h such that 5*h**2 + 720*h + 715 = 0.
-143, -1
Solve -3*v**5/4 - 1161*v**4/2 + 4653*v**3/4 - 582*v**2 = 0.
-776, 0, 1
Determine n, given that -4*n**4/3 + 1120*n**3/3 + 8860*n**2 - 1120*n/3 - 26576/3 = 0.
-22, -1, 1, 302
Find s, given that -4*s**5/3 - 61*s**4 + 29614*s**3/3 - 629288*s**2/3 - 165390*s + 162911/3 = 0.
-119, -1, 1/4, 37
Factor u**2/3 - 4586*u/3 - 24544.
(u - 4602)*(u + 16)/3
Suppose -2*r**2/3 - 844532*r - 267462862134 = 0. What is r?
-633399
Factor -4*n**2 + 192*n - 1148.
-4*(n - 41)*(n - 7)
Factor 9*q**2 - 33645*q + 78456.
3*(q - 3736)*(3*q - 7)
Factor r**4/3 - 7246*r**3/3 + 13104373*r**2/3 + 26273996*r + 39443628.
(r - 3626)**2*(r + 3)**2/3
Factor 3*a**2/7 