4, -15, -1, 0
Factor -3*h**3 - 543*h**2 - 8004*h - 13860.
-3*(h + 2)*(h + 14)*(h + 165)
Find l, given that 30*l**4 + 55203*l**3/2 - 165030*l**2 + 483399*l/2 + 12501 = 0.
-926, -1/20, 3
Factor 24*h**2/7 + 51620*h/7 - 8604/7.
4*(h + 2151)*(6*h - 1)/7
Factor y**5/5 + 66*y**4/5 + 1218*y**3/5 + 9604*y**2/5 + 33957*y/5 + 43218/5.
(y + 3)*(y + 7)**3*(y + 42)/5
Let -4*i**3/7 - 2972*i**2/7 - 11840*i/7 - 11824/7 = 0. Calculate i.
-739, -2
Solve -f**4/7 + 10351*f**3 - 362260*f**2/7 = 0 for f.
0, 5, 72452
Let -4*x**3 + 60*x**2 + 3408*x + 3344 = 0. Calculate x.
-22, -1, 38
Determine h, given that -2*h**2 + 5772*h - 5770 = 0.
1, 2885
Solve -24219*q**2 + 51*q/4 = 0.
0, 17/32292
Factor -2*j**3/7 - 580*j**2/7 - 6744*j/7 - 20016/7.
-2*(j + 6)**2*(j + 278)/7
Factor -2*u**3 - 14422*u**2 - 26006470*u - 25992050.
-2*(u + 1)*(u + 3605)**2
Suppose -2*y**4/5 - 6*y**3 + 28*y**2 + 96*y - 1728/5 = 0. What is y?
-18, -4, 3, 4
Solve -5*p**5 + 825*p**4 - 6300*p**3 + 2900*p**2 + 37680*p = 0 for p.
-2, 0, 4, 6, 157
Factor -i**2 + 408678*i - 41754426921.
-(i - 204339)**2
Factor -4*k**2 - 5312*k - 145600.
-4*(k + 28)*(k + 1300)
Let -k**5/3 - 52*k**4 - 2442*k**3 - 32328*k**2 - 133515*k - 171396 = 0. Calculate k.
-69, -12, -3
Factor 5*t**2 + 43250*t - 259680.
5*(t - 6)*(t + 8656)
Factor k**3/5 + 1337*k**2 - 6688*k/5 - 13372/5.
(k - 2)*(k + 1)*(k + 6686)/5
Suppose -2*n**2/9 - 370*n/9 + 57772/9 = 0. What is n?
-286, 101
Suppose v**2/4 + 2455*v - 4911 = 0. Calculate v.
-9822, 2
Let -2*p**2/11 + 116*p/11 + 13110/11 = 0. Calculate p.
-57, 115
What is n in -2*n**2/9 - 994*n - 35752/9 = 0?
-4469, -4
Let -309*s**2 - 165003*s + 1602 = 0. Calculate s.
-534, 1/103
Factor -r**3/6 - 7705*r**2/6 - 11554*r/3 - 7702/3.
-(r + 1)*(r + 2)*(r + 7702)/6
Factor i**3/6 + 4418*i**2/3 + 19205789*i/6 - 694022315/3.
(i - 70)*(i + 4453)**2/6
Factor 3*d**2/7 + 102978*d/7 + 883705707/7.
3*(d + 17163)**2/7
Let 15*b**2 + 2284*b + 608 = 0. Calculate b.
-152, -4/15
Suppose d**5/3 + 37*d**4 - 3613*d**3/3 - 29315*d**2/3 - 15784*d - 21760/3 = 0. Calculate d.
-136, -5, -1, 32
Find f such that -2*f**2/15 + 178*f/15 - 1148/15 = 0.
7, 82
Let 4*q**2 - 20072*q + 280224 = 0. What is q?
14, 5004
Find t, given that -10*t**3 + 287*t**2 + 387*t + 90 = 0.
-1, -3/10, 30
Determine k, given that -239*k**2 + 1891*k/4 + 21/2 = 0.
-21/956, 2
Factor -1202706012500*k**2/3 + 4904500*k - 15.
-5*(490450*k - 3)**2/3
Solve -l**5/6 - 35*l**4/3 - 163*l**3 + 2354*l**2/3 - 6197*l/6 + 423 = 0 for l.
-47, -27, 1, 2
Solve -2*d**5 - 290*d**4 - 14502*d**3 - 284398*d**2 - 1730344*d = 0 for d.
-53, -28, -11, 0
Factor 3*o**2/8 + 4023*o/8 + 35721/4.
3*(o + 18)*(o + 1323)/8
Factor 3*p**3/7 + 408*p**2/7 + 10713*p/7 - 214812/7.
3*(p - 13)*(p + 68)*(p + 81)/7
Let -20*h**2 + 136185*h - 34045 = 0. Calculate h.
1/4, 6809
Solve -2*a**2/5 - 802*a/5 - 5776 = 0 for a.
-361, -40
Factor -o**2/2 + 131111*o - 262221/2.
-(o - 262221)*(o - 1)/2
Determine y so that -2*y**3/3 - 662*y**2/3 + 704*y/3 + 13280/3 = 0.
-332, -4, 5
Solve 5*n**5 - 125*n**4 + 555*n**3 + 2945*n**2 - 14840*n + 15300 = 0 for n.
-5, 2, 9, 17
Factor 3*i**3 + 119559*i**2 + 1192450584*i + 24988764528.
3*(i + 21)*(i + 19916)**2
Let -3*a**2/4 + 12915*a/2 - 55599075/4 = 0. What is a?
4305
Determine f, given that -4*f**4 - 532*f**3 - 1044*f**2 + 532*f + 1048 = 0.
-131, -2, -1, 1
Solve -36*q**5/5 + 801726*q**4/5 + 2271794*q**3/5 + 231644*q**2 - 534536*q/5 - 356368/5 = 0.
-2, -2/3, 1/2, 22273
Solve 4*r**2 + 98912*r + 611473984 = 0.
-12364
Factor 3*d**4 - 5088*d**3 - 46011*d**2 - 40920*d.
3*d*(d - 1705)*(d + 1)*(d + 8)
Let -5*k**2 - 5310*k + 15975 = 0. Calculate k.
-1065, 3
Suppose 3*f**4 - 57*f**3 - 8541*f**2 - 49383*f - 73062 = 0. What is f?
-41, -3, 66
Factor 4*v**3 + 14384*v**2 - 43228*v - 143960.
4*(v - 5)*(v + 2)*(v + 3599)
Factor -2*a**3 + 1910*a**2 + 23234*a - 25142.
-2*(a - 967)*(a - 1)*(a + 13)
Find z such that z**4/3 + 47*z**3/3 + 350*z**2/3 - 6812*z/3 - 14872 = 0.
-26, -6, 11
Suppose -2*a**2/9 - 2782*a/9 - 49840/3 = 0. Calculate a.
-1335, -56
Suppose a**2/12 - 348287*a/2 + 363911503107/4 = 0. What is a?
1044861
Factor 3*j**2/4 - 911295*j/2 + 276819525675/4.
3*(j - 303765)**2/4
Solve 3*b**5 + 483*b**4 - 3483*b**3 + 7521*b**2 - 6540*b + 2016 = 0.
-168, 1, 4
Find y such that -2*y**3/5 + 158*y**2/5 - 2756*y/5 = 0.
0, 26, 53
Solve -a**3/4 + 4775*a**2/4 + 28677*a/4 + 43029/4 = 0.
-3, 4781
Factor 4*c**3 + 427124*c**2 + 11401968396*c - 11402395524.
4*(c - 1)*(c + 53391)**2
Factor -4*v**3 + 26772*v**2 + 187632*v - 214400.
-4*(v - 6700)*(v - 1)*(v + 8)
Find c such that -150*c**3/7 + 744*c**2/7 - 322*c/3 - 56 = 0.
-28/75, 7/3, 3
Suppose 2*b**2 - 1650*b - 3308 = 0. Calculate b.
-2, 827
Factor -3*s**3 + 145467*s**2 - 145458*s - 290928.
-3*(s - 48488)*(s - 2)*(s + 1)
Let 5*j**2/4 - 7971*j/4 - 1595 = 0. Calculate j.
-4/5, 1595
Solve -y**3/4 + 18797*y**2/4 - 75167*y/4 - 93965/4 = 0 for y.
-1, 5, 18793
Solve -5*a**5 - 1480*a**4 - 19555*a**3 + 52540*a**2 + 103860*a - 135360 = 0 for a.
-282, -16, -2, 1, 3
Factor -v**4 - 55*v**3 - 946*v**2 - 5856*v - 8352.
-(v + 2)*(v + 12)**2*(v + 29)
Suppose -4*m**2 + 35076*m + 351160 = 0. What is m?
-10, 8779
Solve 2*w**4/5 - 2016*w**3/5 + 601656*w**2/5 - 8909824*w - 91521024/5 = 0 for w.
-2, 114, 448
Let -5*y**2 + 120*y + 405 = 0. Calculate y.
-3, 27
Factor -4*y**3/3 - 19208*y**2/3 - 267148*y - 2798880.
-4*(y + 21)**2*(y + 4760)/3
Factor 3*r**2/5 + 77007*r/5 - 15402.
3*(r - 1)*(r + 25670)/5
Determine b so that 2*b**3/5 + 1634*b**2 - 82450*b + 1033750 = 0.
-4135, 25
Factor -3*b**2 + 963*b - 18900.
-3*(b - 300)*(b - 21)
Find f such that 6*f**4 - 562*f**3 + 2518*f**2 - 2302*f - 1068 = 0.
-1/3, 2, 3, 89
Let 3*i**3 + 591*i**2 + 26877*i + 26289 = 0. What is i?
-127, -69, -1
Suppose -d**5/4 - 9*d**4/2 - 8*d**3 = 0. What is d?
-16, -2, 0
Find j, given that 3*j**3/4 - 2079*j**2/2 + 4149*j - 4146 = 0.
2, 1382
Solve 12*b**5/7 - 368*b**4/7 + 776*b**3/7 + 3264*b**2/7 + 2668*b/7 + 80 = 0 for b.
-1, -1/3, 5, 28
Let 5*k**2 + 64720*k + 129420 = 0. What is k?
-12942, -2
Factor -v**4/2 + 773*v**3/2 + v**2/2 - 773*v/2.
-v*(v - 773)*(v - 1)*(v + 1)/2
Factor -i**3/2 - 1093*i**2/2 - 546*i.
-i*(i + 1)*(i + 1092)/2
Factor -5*l**2 - 38575*l - 38570.
-5*(l + 1)*(l + 7714)
Factor -2*z**3/5 + 1020*z**2 - 35602*z/5.
-2*z*(z - 2543)*(z - 7)/5
Suppose 2*h**5/5 - 444*h**4/5 + 1748*h**3/5 - 864*h**2/5 - 350*h + 1308/5 = 0. What is h?
-1, 1, 3, 218
Solve 3*j**2 + 27231*j = 0.
-9077, 0
Solve -n**4/6 + 61*n**3/6 - 52*n**2 - 2840*n/3 - 6784/3 = 0 for n.
-4, 16, 53
Factor m**2/4 + 7151*m/2 + 51136801/4.
(m + 7151)**2/4
Suppose p**5 - 7*p**4 - 92*p**3 - 116*p**2 + 416*p + 448 = 0. What is p?
-4, -1, 2, 14
Factor 5*c**4 - 198330*c**3.
5*c**3*(c - 39666)
Factor 5*u**2 - 1084320*u + 58787493120.
5*(u - 108432)**2
Determine s, given that 2*s**5 - 1064*s**4 + 137170*s**3 + 1160900*s**2 + 783000*s - 7290000 = 0.
-5, 2, 270
Factor -3*j**2/5 + 56202*j/5 - 263222067/5.
-3*(j - 9367)**2/5
Suppose -r**5 + 114*r**4 - 648*r**3 = 0. Calculate r.
0, 6, 108
Factor 49*p**3/4 + 33145*p**2/4 - 85473*p/4 + 54999/4.
(p + 679)*(7*p - 9)**2/4
Factor -2*k**2/3 - 1514*k/3 - 166964/3.
-2*(k + 134)*(k + 623)/3
What is x in 25*x**2 - 2030*x - 30080 = 0?
-64/5, 94
Factor 5*o**2 + 4060*o - 16320.
5*(o - 4)*(o + 816)
Factor -2*w**2/21 + 558*w/7 + 10260/7.
-2*(w - 855)*(w + 18)/21
Let -17*h**3 - 287*h**2 - 1156*h + 140 = 0. Calculate h.
-10, -7, 2/17
Solve -2*d**4 + 94*d**3 - 580*d**2 + 800*d = 0 for d.
0, 2, 5, 40
Determine d so that -3*d**3 - 48297*d**2 - 194214201*d + 1361866989 = 0.
-8053, 7
Find w, given that -4*w**2 - 11348*w + 251592 = 0.
-2859, 22
Find j such that j**2/5 + 21656*j/5 - 64977/5 = 0.
-21659, 3
Find q such that 2*q**2 + 1270*q - 67032 = 0.
-684, 49
Determine r so that r**4 + 40*r**3 + 411*r**2 + 900*r = 0.
-25, -12, -3, 0
Determine x, given that -4*x**2 + 50836*x - 50832 = 0.
1, 12708
Determine l, given that -16*l**4/7 + 1480*l**3/7 + 57823*l**2/7 - 29188*l/7 + 3660/7 = 0.
-30, 1/4, 122
Determine u so that 152*u**4 + 970*u**3 + 2172*u**2 + 1912*u + 464 = 0.
-2, -29/76
Solve 16*u**5 + 220*u**4 - 1848*u**3 + 2972*u**2 - 1360*u = 0 for u.
-20, 0, 1, 17/4
Find r such that -r**5 + 29*r**4 - 78*r**3 - 4*r**2 + 104*r = 0.
-1, 0, 2, 26
Factor -2*b**3/3 + 590*b**2/3 + 9944*b.
-2*b*(b - 339)*(b + 44)/3
Find u such that -u**2/4 + 13481*u