 1, 3
Factor 2*d**4 + 1266*d**3 + 8784*d**2 + 12520*d.
2*d*(d + 2)*(d + 5)*(d + 626)
Find h such that 2*h**5 - 202*h**4 + 1386*h**3 + 10522*h**2 - 97916*h + 145824 = 0.
-8, 2, 7, 93
Find s such that -3*s**5/4 - 195*s**4/4 - 789*s**3/2 - 924*s**2 + 24*s + 1344 = 0.
-56, -4, -2, 1
Factor -v**3/3 + 712*v**2/3 + 6499*v/3 - 7210/3.
-(v - 721)*(v - 1)*(v + 10)/3
Let h**5/8 - 877*h**4/8 - 5785*h**3/4 = 0. What is h?
-13, 0, 890
Solve -36*y**3/5 + 120618*y**2/5 + 60316*y/5 + 6702/5 = 0.
-1/3, -1/6, 3351
Factor 1590121*l**2/2 - 2522*l + 2.
(1261*l - 2)**2/2
Suppose 4*i**4 - 452*i**3 + 532*i**2 + 39876*i - 39960 = 0. What is i?
-9, 1, 10, 111
Solve -g**2/4 + 35841*g/2 + 71683/4 = 0 for g.
-1, 71683
Solve -3*m**5 + 1677*m**4 - 34287*m**3 + 211947*m**2 - 275022*m - 522936 = 0 for m.
-1, 4, 9, 538
Factor -h**2/5 + 67156*h/5 - 13431.
-(h - 67155)*(h - 1)/5
Let -5*s**4 + 3560*s**3 - 574160*s**2 - 21189120*s - 177131520 = 0. Calculate s.
-16, 372
Factor -21*w**3 - 1031*w**2 + 97678*w + 9312.
-(w - 48)*(w + 97)*(21*w + 2)
Factor -117*g**2 + 22443*g/4 + 252.
-3*(g - 48)*(156*g + 7)/4
Solve -3*i**3 - 207*i**2 + 8442*i - 8232 = 0 for i.
-98, 1, 28
Determine q so that 4*q**5 - 6677*q**4 - 528955*q**3/2 - 448220*q**2 - 444043*q/2 - 31598 = 0.
-37, -1, -1/2, -1/4, 1708
Let 2*h**3/21 - 15296*h**2/3 - 642594*h/7 - 2891916/7 = 0. What is h?
-9, 53554
Find n, given that -2*n**3/9 - 190658*n**2/9 - 762608*n/9 - 254200/3 = 0.
-95325, -2
Factor 2*j**5 - 2978*j**4 + 1104080*j**3 + 3339096*j**2.
2*j**2*(j - 746)**2*(j + 3)
Suppose 2*o**5/11 - 156*o**4/11 - 1686*o**3/11 - 6392*o**2/11 - 10488*o/11 - 576 = 0. What is o?
-3, -2, 88
Find j, given that -j**5 - 24*j**4 - 98*j**3 - 52*j**2 + 99*j + 76 = 0.
-19, -4, -1, 1
Factor k**2/2 + 1345*k/2 + 55308.
(k + 88)*(k + 1257)/2
Factor -2*c**2/7 - 5564*c/7 - 66480/7.
-2*(c + 12)*(c + 2770)/7
Factor -p**4/4 - 499*p**3 + 1997*p**2/4.
-p**2*(p - 1)*(p + 1997)/4
Solve -1323*f**4 + 16128*f**3 + 14163*f**2 - 3132*f + 156 = 0.
-1, 2/21, 13
Factor -z**2/3 - 250*z - 58829/3.
-(z + 89)*(z + 661)/3
Factor -3*c**3/7 + 3645273*c**2/7 - 1107336426345*c/7 + 1107332781075/7.
-3*(c - 607545)**2*(c - 1)/7
Factor 2*g**3/7 + 3830*g**2/7 + 1567744*g/7 + 183894016/7.
2*(g + 256)**2*(g + 1403)/7
Determine i, given that 25*i**5 - 560*i**4 + 145*i**3 + 1730*i**2 - 1780*i + 440 = 0.
-2, 2/5, 1, 22
Let -10*u**5 + 134*u**4 - 250*u**3 - 214*u**2 + 692*u - 352 = 0. Calculate u.
-8/5, 1, 2, 11
Factor 2*p**3 + 930*p**2 + 4528*p - 33120.
2*(p - 4)*(p + 9)*(p + 460)
Determine k, given that 3*k**4/2 - 2383*k**3/2 - 3186*k**2 - 1594*k = 0.
-2, -2/3, 0, 797
Suppose -3*p**2 - 125490*p - 125487 = 0. What is p?
-41829, -1
Let -45*x**3 + 115*x**2 + 2450*x - 3920 = 0. Calculate x.
-7, 14/9, 8
Factor -2*t**3 - 882*t**2 + 1770*t - 886.
-2*(t - 1)**2*(t + 443)
Factor 2*g**2/7 + 8496368*g/7 + 9023533648928/7.
2*(g + 2124092)**2/7
Factor 8*w**3 + 462*w**2 + 1620*w.
2*w*(w + 54)*(4*w + 15)
Factor -3*j**4/5 + 1107*j**3/5 + 2226*j**2/5.
-3*j**2*(j - 371)*(j + 2)/5
Factor -o**3/4 + 69*o**2/2 + 2763*o/4 + 1755.
-(o - 156)*(o + 3)*(o + 15)/4
Determine t so that -100*t**5/7 + 260*t**4/7 + 636*t**3/7 - 2484*t**2/7 + 1944*t/7 = 0.
-3, 0, 9/5, 2
Suppose -18*v**3/5 + 116*v**2/5 + 1904*v/5 = 0. Calculate v.
-68/9, 0, 14
Let 8*o**5/5 - 182*o**4/5 + 458*o**3/5 - 362*o**2/5 + 38*o/5 + 8 = 0. What is o?
-1/4, 1, 20
Let -5*y**4 - 2180*y**3 + 309455*y**2 - 9642370*y = 0. What is y?
-554, 0, 59
Factor -2*m**2/9 - 9076*m/9 - 2016.
-2*(m + 2)*(m + 4536)/9
Find i such that -4*i**4 + 188*i**3 + 2424*i**2 + 7312*i + 6496 = 0.
-7, -2, 58
Determine o, given that -5*o**3/4 - 10215*o**2/4 + 61605*o/4 + 276615/4 = 0.
-2049, -3, 9
Find z such that z**5 + 19*z**4 + 114*z**3 + 224*z**2 + 128*z = 0.
-8, -2, -1, 0
Suppose -q**4 + 43*q**3 + 227*q**2 - 1887*q + 2538 = 0. Calculate q.
-9, 2, 3, 47
Factor 4*w**3 - 39944*w**2 - 159860*w + 199800.
4*(w - 9990)*(w - 1)*(w + 5)
Determine p so that 17*p**2/7 + 31672*p/7 + 1863/7 = 0.
-1863, -1/17
Factor 3*t**4/2 + 1329*t**3/2 - 2667*t**2/2 + 1335*t/2.
3*t*(t - 1)**2*(t + 445)/2
Factor 3*g**4/7 - 47634*g**3/7 - 190788*g**2 - 1336104*g.
3*g*(g - 15906)*(g + 14)**2/7
Factor 3*z**3 - 480*z**2 + 15903*z - 43470.
3*(z - 115)*(z - 42)*(z - 3)
Determine b so that b**4 + 20*b**3 - 73*b**2 - 92*b = 0.
-23, -1, 0, 4
Find q, given that 3*q**2 + 444246*q + 16446209043 = 0.
-74041
Let 2*n**4/9 + 86*n**3/9 - 178*n**2/9 + 10*n = 0. What is n?
-45, 0, 1
Factor -2*v**2/3 + 975880*v/3 - 119042721800/3.
-2*(v - 243970)**2/3
Determine l so that 5*l**3 + 460*l**2 - 955*l - 1410 = 0.
-94, -1, 3
Suppose -m**4 - 9548*m**3 + 3*m**2 + 28646*m + 19096 = 0. What is m?
-9548, -1, 2
Factor -76*k**3 + 90004*k**2 - 359104*k + 358800.
-4*(k - 2)**2*(19*k - 22425)
Solve -2*i**5/11 - 68*i**4/11 - 310*i**3/11 + 1916*i**2/11 + 2160*i/11 = 0 for i.
-27, -10, -1, 0, 4
Solve 2*r**3/9 - 2794*r**2/9 + 971600*r/9 + 980000/3 = 0 for r.
-3, 700
Determine r so that -47*r**2/4 + 1688*r + 576 = 0.
-16/47, 144
Let -2*l**4/5 - 712*l**3/5 + 148984*l**2/5 + 37798656*l/5 - 5636671488/5 = 0. Calculate l.
-336, 158
Let 4*s**5 - 13960*s**4 - 14000*s**3 + 125720*s**2 - 153620*s + 55856 = 0. What is s?
-4, 1, 3491
Suppose -2*w**5 + 78*w**4 + 6*w**3 - 238*w**2 + 156*w = 0. Calculate w.
-2, 0, 1, 39
Solve -6*l**4 - 429*l**3 + 252*l**2 + 2619*l + 1944 = 0 for l.
-72, -3/2, -1, 3
Determine s, given that s**2/3 - 3956*s/9 - 1319/9 = 0.
-1/3, 1319
What is w in -5*w**3 + 12315*w**2 - 24615*w + 12305 = 0?
1, 2461
What is n in -n**3/8 + 249*n**2/8 = 0?
0, 249
Factor 3*q**2/2 + 591*q + 2340.
3*(q + 4)*(q + 390)/2
Factor 5*d**2 - 46220*d + 184800.
5*(d - 9240)*(d - 4)
Factor d**3/5 - 141*d**2/5 - 1549*d/5 + 5889/5.
(d - 151)*(d - 3)*(d + 13)/5
Find z such that -z**3/4 + 5*z**2/4 + 633*z/4 + 1827/4 = 0.
-21, -3, 29
Suppose -4*q**3 - 7400*q**2 + 44508*q - 66816 = 0. Calculate q.
-1856, 3
What is u in -3*u**3 - 55908*u**2 - 260531271*u - 520838934 = 0?
-9317, -2
Determine w so that 2*w**4/17 + 10*w**3/17 - 98*w**2/17 - 250*w/17 + 1200/17 = 0.
-8, -5, 3, 5
Find w such that -2*w**3/9 - 16862*w**2/3 - 35616638*w - 957556134 = 0.
-12633, -27
Factor 6*p**2 + 775353*p - 387678.
3*(p + 129226)*(2*p - 1)
Solve -18*t**2/5 - 504534*t/5 + 33636 = 0 for t.
-28030, 1/3
Suppose -2*c**4/5 + 38*c**3/5 + 22048*c**2/5 - 44232*c/5 = 0. Calculate c.
-97, 0, 2, 114
Determine k so that 4*k**4 - 2484*k**3 + 391720*k**2 - 1862784*k - 5312384 = 0.
-2, 7, 308
What is p in 2*p**2/11 - 6096*p/11 + 24352/11 = 0?
4, 3044
Factor 2*t**2 + 98948*t - 98950.
2*(t - 1)*(t + 49475)
Suppose u**3/3 + 67*u**2 - 1752*u + 10800 = 0. Calculate u.
-225, 12
Determine b so that 2*b**5 - 292*b**4 - 300*b**3 + 872*b**2 + 1466*b + 588 = 0.
-1, 2, 147
Solve -2*r**2/11 + 646148*r/11 - 52188404738/11 = 0 for r.
161537
Factor 5*y**2 + 7005*y + 1245640.
5*(y + 209)*(y + 1192)
Factor -i**2/5 + 9491*i/5 + 256986/5.
-(i - 9518)*(i + 27)/5
Let g**2/6 + 1465*g/6 + 3650/3 = 0. What is g?
-1460, -5
Suppose 2*g**2/3 - 262*g + 37180/3 = 0. Calculate g.
55, 338
Find i such that -i**2/2 - 109*i + 1575/2 = 0.
-225, 7
Factor -4*n**3 + 420*n**2 - 9900*n - 60500.
-4*(n - 55)**2*(n + 5)
Determine u, given that -4*u**3 - 1068*u**2 - 5256*u - 4192 = 0.
-262, -4, -1
Factor -j**5/3 + 2*j**4 + 437*j**3 + 15884*j**2/3.
-j**2*(j - 44)*(j + 19)**2/3
Factor -z**2 + 40845*z + 122544.
-(z - 40848)*(z + 3)
What is n in 3*n**3/4 + 122145*n**2/4 - 244299*n/4 + 122151/4 = 0?
-40717, 1
Suppose 2*j**2/5 - 6346*j + 31728/5 = 0. Calculate j.
1, 15864
Factor -3*a**2 - 48485*a - 32322.
-(a + 16161)*(3*a + 2)
Suppose 2*z**4/17 + 388632*z**3/17 + 18878576648*z**2/17 - 75518970240*z/17 + 75520524800/17 = 0. Calculate z.
-97160, 2
Let -5*q**5 - 6085*q**4 - 1848290*q**3 + 1884870*q**2 + 9290295*q + 5563215 = 0. What is q?
-609, -1, 3
Factor 2*h**3 - 5426*h**2.
2*h**2*(h - 2713)
Determine t so that 4*t**3 - 472*t**2 - 1936*t - 1952 = 0.
-2, 122
What is k in -5*k**2 + 2010*k + 10175 = 0?
-5, 407
Factor -v**4 - 150*v**3 - 2025*v**2.
-v**2*(v + 15)*(v + 135)
Let -3*v**3 + 103971*v**2 + 2912952*v + 20394780 = 0. What is v?
-14, 34685
Solve 3*p**2/2 + 15849*p - 31704 = 0.
-10568, 2
Factor 2*c**2/7 + 65998*c/7 + 263960/7.
2*(c + 4)*(c + 32995)/7
Let -3*g**5 + 1629*g**4 - 19206*g**3 + 47874*g**2 - 44631*g + 14337 = 0. What is g?
1, 9, 531
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