09)/2
Suppose 4*u**4 - 1464*u**3 = 0. What is u?
0, 366
Find v, given that -3*v**4/2 + 261*v**3/2 + 978*v**2 + 846*v = 0.
-6, -1, 0, 94
Solve -984*a**3 - 13780*a**2/7 - 6896*a/7 - 4/7 = 0.
-1, -1/1722
Factor 2*r**2/11 - 131364*r/11.
2*r*(r - 65682)/11
Let 45*g**5 - 915*g**4 + 545*g**3 + 23355*g**2 + 15250*g + 2520 = 0. What is g?
-4, -1/3, 7, 18
Factor 3*i**2 + 584268*i + 28447424652.
3*(i + 97378)**2
Solve -i**4 - 155245*i**3 + 310494*i**2 = 0.
-155247, 0, 2
Suppose g**5/2 + 423*g**4/2 + 1679*g**3/2 + 1257*g**2/2 = 0. What is g?
-419, -3, -1, 0
Factor 36*m**4 + 228*m**3 - 800*m**2 + 576*m.
4*m*(m + 9)*(3*m - 4)**2
Factor 3*l**3/5 + 36*l**2/5 - 324*l.
3*l*(l - 18)*(l + 30)/5
Factor g**4/5 - 263*g**3/5 + 462*g**2 - 6116*g/5 + 1016.
(g - 254)*(g - 5)*(g - 2)**2/5
Determine s, given that -4*s**5/9 - 220*s**4/9 - 124*s**3/9 + 1604*s**2/3 - 928*s + 432 = 0.
-54, -6, 1, 3
Factor 2*x**2/9 + 48*x - 49634/9.
2*(x - 83)*(x + 299)/9
Factor -10*n**3/9 - 7088*n**2/3 - 1256466*n - 4519876/9.
-2*(n + 1063)**2*(5*n + 2)/9
Find j such that j**4 - 29492*j**3 + 88470*j**2 - 88468*j + 29489 = 0.
1, 29489
Solve 42*k**5/17 - 382*k**4/17 + 1212*k**3/17 - 1624*k**2/17 + 48*k - 64/17 = 0 for k.
2/21, 1, 2, 4
Determine g so that -5*g**2/2 - 3785*g - 15100 = 0.
-1510, -4
Factor -65*o**2/4 + 310147*o + 9543.
-(o - 19086)*(65*o + 2)/4
Factor -2*l**2 + 24952*l - 124710.
-2*(l - 12471)*(l - 5)
Factor 2*z**3 + 8*z**2 - 198*z + 468.
2*(z - 6)*(z - 3)*(z + 13)
Suppose -12*i**3 - 1751223*i**2 + 1313427*i + 437808 = 0. Calculate i.
-145936, -1/4, 1
Determine g, given that 2*g**4 + 6*g**3 - 1362*g**2 - 12206*g + 48552 = 0.
-17, 3, 28
Let 4*z**4/17 + 192346*z**3/17 + 96156*z**2/17 - 769384*z/17 - 384688/17 = 0. What is z?
-48086, -2, -1/2, 2
Factor -5*y**3 + 310*y**2 - 4955*y + 12210.
-5*(y - 37)*(y - 22)*(y - 3)
Solve 735*w**5 + 9205*w**4 - 15160*w**3 + 900*w**2 + 6560*w - 2240 = 0 for w.
-14, -2/3, 4/7, 1
Factor 5*i**2 - 6000*i + 47680.
5*(i - 1192)*(i - 8)
What is i in -3*i**5 - 729*i**4 - 43881*i**3 - 43155*i**2 = 0?
-137, -105, -1, 0
Suppose j**5 - 1368*j**4 + 465103*j**3 + 1889244*j**2 - 2352980*j = 0. What is j?
-5, 0, 1, 686
Factor -3*a**2 - 108094*a - 36031.
-(a + 36031)*(3*a + 1)
Suppose -2*o**5 + 18*o**4 - 22*o**3 - 42*o**2 = 0. What is o?
-1, 0, 3, 7
Let -n**3/2 - 53*n**2 + 1511*n/2 - 2142 = 0. What is n?
-119, 4, 9
Suppose -63*k**4 + 445*k**3 - 658*k**2 + 40*k = 0. What is k?
0, 4/63, 2, 5
Factor f**4/6 + 113*f**3/3 - 461*f**2/2 + 1042*f/3 - 464/3.
(f - 4)*(f - 1)**2*(f + 232)/6
Factor 3*a**2/5 + 117*a/5 - 14196/5.
3*(a - 52)*(a + 91)/5
Factor t**3 + 31*t**2 + 18*t - 360.
(t - 3)*(t + 4)*(t + 30)
Solve x**3/4 + 505*x**2/4 + 753*x/2 = 0.
-502, -3, 0
Factor 5*u**3 + 185*u**2 - 1540*u.
5*u*(u - 7)*(u + 44)
Solve -a**5/10 - 105*a**4 - 276671*a**3/10 - 274051*a**2/5 + 138336*a/5 + 274576/5 = 0.
-524, -2, -1, 1
Factor -3*q**2/2 - 185*q/4 - 161.
-(q + 4)*(6*q + 161)/4
Factor -18*a**3/7 - 608*a**2/7 + 136*a/7.
-2*a*(a + 34)*(9*a - 2)/7
Determine o so that 5*o**3 + 25*o**2 - 765*o - 5265 = 0.
-9, 13
Suppose -5*p**3 + 35995*p**2 - 65336320*p + 1990983680 = 0. What is p?
31, 3584
Solve -4*v**4 + 6800*v**3 - 2855544*v**2 - 29507760*v + 114039900 = 0.
-13, 3, 855
Let -2*l**4/5 + 96*l**3/5 - 362*l**2/5 + 444*l/5 - 176/5 = 0. Calculate l.
1, 2, 44
Find g, given that 35*g**5 + 730*g**4 + 980*g**3 - 45800*g**2 - 142720*g + 448000 = 0.
-14, -8, 2, 50/7
Solve -2*a**2/3 - 110334*a + 662012/3 = 0.
-165503, 2
What is b in 4*b**3 + 44404*b**2 - 16*b - 177616 = 0?
-11101, -2, 2
Find l, given that -20*l**5/17 - 378*l**4/17 - 616*l**3/17 + 30*l**2 = 0.
-17, -5/2, 0, 3/5
Suppose 4*u**4 + 712*u**3 + 24620*u**2 - 87736*u - 268320 = 0. Calculate u.
-129, -52, -2, 5
Suppose 3*b**5 - 4785*b**4 - 9579*b**3 - 4791*b**2 = 0. Calculate b.
-1, 0, 1597
Factor 4*a**2 - 87076*a - 261264.
4*(a - 21772)*(a + 3)
Factor z**4/2 - 119*z**3 + 7452*z**2 - 181521*z + 3090231/2.
(z - 157)*(z - 27)**3/2
Let 2*r**2/15 + 709132*r/15 + 62858524178/15 = 0. Calculate r.
-177283
Find i such that -44*i**5 + 2916*i**4 - 11496*i**3 - 9920*i**2 = 0.
-8/11, 0, 5, 62
Solve c**2/4 - 149529*c + 22358921841 = 0 for c.
299058
Factor 4*h**4/3 + 236*h**3 - 1432*h**2/3.
4*h**2*(h - 2)*(h + 179)/3
Find q such that q**3/11 - 1999*q**2/11 + 983839*q/11 + 15210735/11 = 0.
-15, 1007
Let -2*n**2/7 + 586*n/7 - 4140 = 0. What is n?
63, 230
Factor -2*r**2/5 - 2936*r - 5387560.
-2*(r + 3670)**2/5
Factor 2*r**3/9 + 1526*r**2/9 + 96940*r/3.
2*r*(r + 370)*(r + 393)/9
Factor -g**5/5 + 8782*g**4/5 + 35138*g**3/5 + 52712*g**2/5 + 35143*g/5 + 8786/5.
-(g - 8786)*(g + 1)**4/5
Let -d**4 - 32*d**3 - 284*d**2 - 448*d = 0. Calculate d.
-16, -14, -2, 0
Factor -8*t**3 + 10331*t**2 + 6463*t - 3876.
-(t - 1292)*(t + 1)*(8*t - 3)
Factor d**2/3 + 21087*d.
d*(d + 63261)/3
Determine k, given that -36*k**5 + 8628*k**4 + 56048*k**3 + 10048*k**2 - 51072*k - 23616 = 0.
-6, -2/3, 1, 246
Determine h so that 2*h**4/3 + 52*h**3/3 - 170*h**2/3 + 116*h/3 = 0.
-29, 0, 1, 2
Let -6*r**3/5 + 2502*r**2 + 6*r/5 - 2502 = 0. Calculate r.
-1, 1, 2085
Solve 2*s**2/15 - 65458*s/15 - 4364 = 0 for s.
-1, 32730
Solve 3*k**4/8 + k**3/2 - 1729*k**2/8 + 575*k/4 = 0 for k.
-25, 0, 2/3, 23
Let 2*w**2/3 + 146*w/3 - 152 = 0. Calculate w.
-76, 3
Factor -w**2 + 688306*w - 118441287409.
-(w - 344153)**2
Factor -n**4/11 + 17708*n**3/11 - 78393316*n**2/11.
-n**2*(n - 8854)**2/11
Factor 2*z**3 + 58*z**2 + 208*z + 200.
2*(z + 2)**2*(z + 25)
Find p, given that -5*p**3 + 2810*p**2 - 46235*p - 49050 = 0.
-1, 18, 545
Find x, given that x**2 + 69595*x + 69594 = 0.
-69594, -1
Factor l**5 - 320*l**4 + 4024*l**3 - 10162*l**2 + 9527*l - 3070.
(l - 307)*(l - 10)*(l - 1)**3
Determine o so that 2*o**4/3 - 1637*o**3/6 - 3733*o**2/2 - 6869*o/3 + 2080/3 = 0.
-5, -2, 1/4, 416
Factor -37*q**3/3 - 244*q**2/3 - 428*q/3 - 176/3.
-(q + 2)*(q + 4)*(37*q + 22)/3
Factor 5*y**2 + 216520*y + 2344045520.
5*(y + 21652)**2
Factor -4*s**3 + 9028*s**2 - 9000*s - 54144.
-4*(s - 2256)*(s - 3)*(s + 2)
Solve -76*q**2 + 88436*q + 209880 = 0 for q.
-45/19, 1166
Let 3*m**3/2 + 6*m**2 - 159*m/2 - 252 = 0. Calculate m.
-8, -3, 7
Determine b so that 13*b**4/5 - 334*b**3/5 + 1061*b**2/5 - 44*b/5 - 1452/5 = 0.
-1, 22/13, 3, 22
Factor -10*l**3 + 22*l**2 + 4*l - 16.
-2*(l - 2)*(l - 1)*(5*l + 4)
Factor 4*y**4 - 59212*y**3 - 473888*y**2 - 947904*y.
4*y*(y - 14811)*(y + 4)**2
Factor -2*v**2 - 2210*v + 152100.
-2*(v - 65)*(v + 1170)
Find z, given that 4*z**2 + 568*z/5 + 3968/5 = 0.
-16, -62/5
Let 2*w**4 + 13122*w**3 - 13132*w**2 - 52488*w + 52496 = 0. What is w?
-6562, -2, 1, 2
Determine l, given that 335*l**3/2 - 1120*l**2 + 1275*l/2 + 315 = 0.
-21/67, 1, 6
Factor 2*y**2 + 314*y + 5480.
2*(y + 20)*(y + 137)
Suppose -2*a**5 - 184*a**4 - 1190*a**3 = 0. Calculate a.
-85, -7, 0
Factor -v**2/5 + 311957*v/5 + 311958/5.
-(v - 311958)*(v + 1)/5
Factor 4*f**2/3 + 4606144*f/3 + 1326035159296/3.
4*(f + 575768)**2/3
Find o such that -o**3/6 - 208*o**2/3 + 22321*o/6 + 11368/3 = 0.
-464, -1, 49
Solve -162*u**3 - 903314*u**2 - 1259228080*u - 15545888 = 0 for u.
-2788, -1/81
Suppose g**4 - 864*g**3 + 17681*g**2 + 18546*g = 0. What is g?
-1, 0, 22, 843
Factor -m**3 + 48585*m**2 + 97173*m + 48587.
-(m - 48587)*(m + 1)**2
What is i in i**3/7 - 9036*i**2/7 + 2919915*i - 17473050 = 0?
6, 4515
Determine t so that 2*t**4/9 + 130*t**3/9 + 1954*t**2/9 + 9806*t/9 + 5060/3 = 0.
-46, -11, -5, -3
Factor -2*a**2 - 37424*a + 187170.
-2*(a - 5)*(a + 18717)
Determine y, given that -2*y**3/5 - 4*y**2/5 + 4606*y/5 = 0.
-49, 0, 47
Suppose 3*b**4/2 - 31929*b**3/2 + 2383425*b**2/2 - 59491875*b/2 + 247687500 = 0. What is b?
25, 10568
Solve 5*x**5 + 630*x**4 + 7585*x**3 - 28540*x**2 + 2580*x + 38080 = 0.
-112, -17, -1, 2
Determine k so that -2*k**2/15 - 710*k/3 - 239524/5 = 0.
-1542, -233
Find u, given that u**4 - 54*u**3 + 400*u**2 + 9216*u + 16384 = 0.
-8, -2, 32
Factor 3*a**3/7 - 13554*a**2/7 - 27117*a/7 - 13560/7.
3*(a - 4520)*(a + 1)**2/7
Factor q**4 + 177*q**3 + 10496*q**2 + 211920*q + 201600.
(q + 1)*(q + 56)*(q + 60)**2
Determine i so that -4*i**5/5 - 168*i**4 - 9620*i**3 - 84000*i**2 - 200000*i = 0.
-100, -5, 0
Factor -4*v**3 - 181600*v**2 - 1089456*v.
-4*v*(v + 6)*(v + 45394)
Factor -o**3/12 - 323*o**2/4 - 2162*o/3 - 640.
-(o + 1)*(o + 8)*(o + 960)/12
Factor 9*b**3 + 19347*b