40*y**5 + 627*y**4 + 1212*y**3 - 945*y**2 - 54*y = 0.
-6/5, -3/56, 0, 1
Factor -2*o**2/3 - 662*o/3 - 656.
-2*(o + 3)*(o + 328)/3
Suppose -9*m**4 + 582*m**3 + 2583*m**2 - 428076*m - 2126580 = 0. What is m?
-67/3, -5, 46
Factor -x**3 - 761*x**2 + 19626*x - 18864.
-(x - 24)*(x - 1)*(x + 786)
Determine d so that -d**2/3 - 1736*d - 5207/3 = 0.
-5207, -1
Solve 3*y**4/8 - 977*y**3/4 + 40639*y**2/8 - 25091*y - 38115/2 = 0.
-2/3, 11, 630
Determine d so that -d**3/3 + 3410*d**2/3 + 6824*d/3 = 0.
-2, 0, 3412
Suppose 2*j**2/11 + 3546*j/11 - 10656/11 = 0. What is j?
-1776, 3
Factor -20*p**2 + 6392*p + 2560.
-4*(p - 320)*(5*p + 2)
Factor -2*a**2/9 + 1341506*a/9 + 1341508/9.
-2*(a - 670754)*(a + 1)/9
Suppose -2*a**2/13 - 30182*a/13 - 30180/13 = 0. What is a?
-15090, -1
What is p in -3*p**5 + 198*p**4 + 627*p**3 - 14238*p**2 - 44040*p - 29376 = 0?
-8, -2, -1, 9, 68
Factor -45*t**3 + 453*t**2 + 1725*t - 117.
-3*(t - 13)*(t + 3)*(15*t - 1)
Factor -5*z**2 + 473830*z - 11225743445.
-5*(z - 47383)**2
Factor -59032*d**5/3 + 59033*d**4/3 - d**3/3.
-d**3*(d - 1)*(59032*d - 1)/3
Let -8*h**3/5 - 634*h**2/5 + 776*h - 510 = 0. What is h?
-85, 3/4, 5
Solve -5*n**3 - 5960*n**2 - 1985705*n - 120997110 = 0.
-557, -78
Find h such that 2*h**4 + 10*h**3 - 962*h**2 + 950*h = 0.
-25, 0, 1, 19
Let 795*h**3 - 7143*h**2 - 108*h = 0. Calculate h.
-4/265, 0, 9
Factor 35*i**2 - 8940*i + 26505.
5*(i - 3)*(7*i - 1767)
Factor -m**3/5 - 2607*m**2/5 + 57717*m/5 - 318109/5.
-(m - 11)**2*(m + 2629)/5
Factor g**3 + 4286*g**2/5 - 16347*g/5 + 10332/5.
(g - 3)*(g + 861)*(5*g - 4)/5
Determine v so that 3*v**4 - 1725*v**3 + 23409*v**2 + 85833*v = 0.
-3, 0, 17, 561
Let 4*a**3/7 + 124*a**2/7 - 4512*a + 115920 = 0. What is a?
-115, 42
What is m in 4*m**2 + 677128*m + 28656395524 = 0?
-84641
Factor -4*o**4 + 92*o**3 - 612*o**2 + 532*o + 4312.
-4*(o - 11)*(o - 7)**2*(o + 2)
Solve 4*m**2 + 521236*m + 1042456 = 0 for m.
-130307, -2
Suppose 12*d**2 - 31425*d + 23562 = 0. What is d?
3/4, 2618
Suppose 3*q**4 + 21*q**3 - 225*q**2 + 147*q + 390 = 0. Calculate q.
-13, -1, 2, 5
What is d in d**2 + 21214*d + 112508449 = 0?
-10607
Factor -3*r**2 - 2784*r - 210405.
-3*(r + 83)*(r + 845)
Find f such that 5*f**5 + 35*f**4 + 55*f**3 - 35*f**2 - 60*f = 0.
-4, -3, -1, 0, 1
Factor -3*g**3 - 33093*g**2 + 132408*g - 132420.
-3*(g - 2)**2*(g + 11035)
Determine f, given that -25*f**2 - 6620*f + 21440 = 0.
-268, 16/5
Determine v, given that v**4 + 249*v**3 + 19302*v**2 + 434720*v - 454272 = 0.
-104, -42, 1
Factor -p**3/2 + 231*p**2 - 916*p.
-p*(p - 458)*(p - 4)/2
Solve -5*q**4/2 + 141535*q**3/2 - 667714950*q**2 + 2099740898920*q + 2100408684640 = 0.
-1, 9436
Let 4*b**3 + 3240*b**2 + 53852*b - 57096 = 0. What is b?
-793, -18, 1
Factor 2*o**2/3 - 28214*o/3 - 451936/3.
2*(o - 14123)*(o + 16)/3
Factor -x**3/4 - 167*x**2/4 + 255*x/2.
-x*(x - 3)*(x + 170)/4
Let -q**2/4 + 550*q + 2201/4 = 0. What is q?
-1, 2201
Factor 4*r**3 - 608*r**2 + 2320*r + 7104.
4*(r - 148)*(r - 6)*(r + 2)
Suppose -g**5/3 - 115*g**4/9 + 7307*g**3/9 + 25171*g**2/9 + 27976*g/9 + 1136 = 0. Calculate g.
-71, -4/3, -1, 36
Let 3*a**3/5 + 5091*a**2/5 = 0. What is a?
-1697, 0
Factor 5*u**3 - 32055*u**2 + 639100*u.
5*u*(u - 6391)*(u - 20)
What is p in 4*p**2 - 120*p - 544 = 0?
-4, 34
Let z**2/3 - 3142*z/3 - 224840/3 = 0. What is z?
-70, 3212
Solve v**2 - 20442*v - 40888 = 0 for v.
-2, 20444
Determine d so that -d**3/4 - 261*d**2/4 + 268*d + 795 = 0.
-265, -2, 6
Factor 4*q**2 + 14280*q + 14276.
4*(q + 1)*(q + 3569)
What is k in -98*k**3/15 - 5783428*k**2/15 - 3304792*k/15 - 472112/15 = 0?
-59014, -2/7
Let -4*x**4 - 516*x**3 + 2284*x**2 + 20964*x + 28728 = 0. What is x?
-133, -3, -2, 9
Determine t, given that -2*t**4/9 + 10*t**3/3 + 66*t**2 + 162*t = 0.
-9, -3, 0, 27
Factor 3*f**2 + 181794*f + 545355.
3*(f + 3)*(f + 60595)
Solve 16*m**5/3 + 11208*m**4 + 151081*m**3/3 + 67815*m**2 + 75496*m/3 + 2796 = 0.
-2097, -2, -1/4
Factor 5*c**3 + 27920*c**2 + 38948385*c - 78008490.
5*(c - 2)*(c + 2793)**2
Solve -p**5/5 + 47*p**4/5 + 6*p**3/5 - 274*p**2/5 - 373*p/5 - 141/5 = 0.
-1, 3, 47
Factor 5234944*h**2 + 22880*h + 25.
(2288*h + 5)**2
Find d such that 5*d**4 + 2470*d**3 - 937455*d**2 - 306897500*d + 77190312500 = 0.
-497, 250
Factor 10*q**3 - 3168*q**2 - 7006*q - 3828.
2*(q - 319)*(q + 1)*(5*q + 6)
Let 10*d**4 - 2300096*d**3 - 920040*d**2 = 0. Calculate d.
-2/5, 0, 230010
What is j in -2*j**4 - 38*j**3 + 844*j**2 - 2640*j = 0?
-33, 0, 4, 10
Determine z, given that -15*z**5 - 575*z**4 + 9035*z**3 - 33105*z**2 + 15480*z + 9180 = 0.
-51, -1/3, 1, 6
Solve -o**5 - 808*o**4 + o**3 + 808*o**2 = 0.
-808, -1, 0, 1
Determine h, given that -4*h**5/7 - 1572*h**4/7 + 14376*h**3/7 - 5504*h**2 + 25728*h/7 = 0.
-402, 0, 1, 4
Factor b**2/2 - 96217*b/2.
b*(b - 96217)/2
Determine m so that 2*m**3/3 + 34330*m**2/3 - 103004*m/3 + 68672/3 = 0.
-17168, 1, 2
Determine v, given that 3*v**2 - 888867*v + 888864 = 0.
1, 296288
Suppose w**5 + 64*w**4/3 + 142*w**3 + 288*w**2 + 81*w = 0. What is w?
-9, -3, -1/3, 0
What is t in 4*t**2 - 7192*t + 71520 = 0?
10, 1788
Factor -q**3 + 18945*q**2 - 189375*q + 473375.
-(q - 18935)*(q - 5)**2
Factor -488*w**3 + 174716*w**2 - 15640304*w + 384492.
-4*(w - 179)**2*(122*w - 3)
Let 3*s**4 - 384*s**3 + 11484*s**2 + 52272*s = 0. What is s?
-4, 0, 66
What is d in 4*d**3 - 4460*d**2 + 4448*d + 8912 = 0?
-1, 2, 1114
Factor -2*b**2 + 1672*b - 156006.
-2*(b - 729)*(b - 107)
Determine l, given that 7*l**5/2 - 2771*l**4/2 - 33339*l**3 - 250184*l**2 - 511040*l + 643584 = 0.
-8, 6/7, 419
Find y such that 5*y**2/3 + 2315*y/3 + 24860/3 = 0.
-452, -11
Determine z so that 3*z**3 - 6*z**2 - 1371*z/4 + 345/2 = 0.
-10, 1/2, 23/2
Determine p, given that -3*p**2 + 42432*p + 212235 = 0.
-5, 14149
Factor 3*f**5/7 - 1602*f**4/7 + 193779*f**3/7 + 5363496*f**2/7 + 33627312*f/7.
3*f*(f - 279)**2*(f + 12)**2/7
Let -3*f**5 - 240*f**4 - 3123*f**3 - 13218*f**2 - 22836*f - 14040 = 0. Calculate f.
-65, -9, -2
Factor -10*b**2/3 + 47442*b + 56932/3.
-2*(b - 14233)*(5*b + 2)/3
Let y**2/3 + 635*y - 3822 = 0. Calculate y.
-1911, 6
Let -5*r**2 - 38680*r + 387300 = 0. What is r?
-7746, 10
Factor 2*b**3 + 9710*b**2 + 48512*b + 58200.
2*(b + 2)*(b + 3)*(b + 4850)
Let s**3 + 352*s**2 - 707*s + 354 = 0. What is s?
-354, 1
What is f in f**2/4 - 205*f/2 - 624 = 0?
-6, 416
Solve -4*r**3 - 3984*r**2 - 995988*r - 1976072 = 0 for r.
-497, -2
Suppose 3*g**5/2 - 147*g**4/2 + 1137*g**3/2 - 2253*g**2/2 - 570*g + 1200 = 0. What is g?
-1, 1, 4, 5, 40
Factor -2*o**2/15 - 1484*o/3 - 124406/5.
-2*(o + 51)*(o + 3659)/15
Factor -3*n**3 - 4104*n**2 + 3*n + 4104.
-3*(n - 1)*(n + 1)*(n + 1368)
Determine i so that 8*i**5 - 13354*i**4 + 5620898*i**3 - 40075806*i**2 + 9667854*i = 0.
0, 1/4, 7, 831
What is b in -3*b**3 + 642*b**2 - 1203*b - 403788 = 0?
-23, 28, 209
Determine a, given that -2*a**4/15 - 41038*a**3/15 + 41042*a**2/5 - 24626*a/3 + 41044/15 = 0.
-20522, 1
Determine n, given that -4*n**2 + 239292*n - 239288 = 0.
1, 59822
Suppose 3*d**3 - 1125*d**2 + 104634*d - 204792 = 0. Calculate d.
2, 161, 212
Factor 3*z**2/2 - 20163*z/2 - 60543.
3*(z - 6727)*(z + 6)/2
Factor -40*o**2 - 17465*o + 17505.
-5*(o - 1)*(8*o + 3501)
Find u such that -u**3/2 - 773*u**2/2 - 73320*u + 532350 = 0.
-390, 7
What is p in 3*p**4 - 1290*p**3 + 182967*p**2 - 8372976*p - 26800704 = 0?
-3, 136, 161
Let 4*a**4 - 856*a**3 - 5280*a**2 = 0. Calculate a.
-6, 0, 220
Let 2*f**5/5 - 214*f**4/5 - 722*f**3/5 + 6814*f**2/5 + 912*f/5 - 5544 = 0. Calculate f.
-7, -2, 3, 110
Factor 8*o**4 + 273*o**3 - 6902*o**2 - 867*o.
o*(o - 17)*(o + 51)*(8*o + 1)
Factor -4*t**3 + 11768*t**2 + 70716*t + 106128.
-4*(t - 2948)*(t + 3)**2
Suppose -3*x**2/2 + 1029*x + 6201/2 = 0. Calculate x.
-3, 689
Solve -3*d**3 + 57369*d**2 - 57366*d = 0 for d.
0, 1, 19122
Factor q**4/5 - 21*q**3 - 106*q**2/5.
q**2*(q - 106)*(q + 1)/5
What is g in g**3 - 1032*g**2 + 269325*g - 1579014 = 0?
6, 513
Factor -l**2/7 - 86*l/7 - 1845/7.
-(l + 41)*(l + 45)/7
Determine z so that -z**4/4 + 3*z**3 - 43*z**2/4 + 6*z + 20 = 0.
-1, 4, 5
Solve -6*f**3/5 + 4709066*f**2/5 - 923971726192*f/5 + 307990052168/5 = 0 for f.
1/3, 392422
Let -4*o**2/7 + 473824*o/7 - 14031823936/7 = 0. What is o?
59228
Factor 2*i**3 - 2776*i**2 + 60346*i - 330572.
2*(i - 1366)*(i - 11)**2
Suppose -74*l**4/5 - 12652*l**3/5 - 49386*l**2/5 - 480