*g**4/3 + 140*g**3/3 + 2*g**2/3 - 140*g/3 = 0. Calculate g.
-1, 0, 1, 70
Factor 2*w**2/7 + 9784*w/7 - 1398.
2*(w - 1)*(w + 4893)/7
Suppose v**4/6 - 155057*v**3/6 - 155059*v**2/2 - 465179*v/6 - 77530/3 = 0. Calculate v.
-1, 155060
Let -k**2/5 - 1313*k/5 - 15612/5 = 0. Calculate k.
-1301, -12
Factor 5*f**3 - 106*f**2/3 + 91*f/3.
f*(f - 1)*(15*f - 91)/3
Determine x so that 5*x**2 + 735*x + 19600 = 0.
-112, -35
Factor -3*y**3 + 741*y**2 + 92004*y + 91260.
-3*(y - 338)*(y + 1)*(y + 90)
Factor -l**3 - 220*l**2 + 251*l + 6630.
-(l - 6)*(l + 5)*(l + 221)
What is b in 5*b**3 + 775*b**2 - 16990*b - 80040 = 0?
-174, -4, 23
Factor 2*a**4 + 689*a**3 + 60864*a**2 + 261460*a + 115600.
(a + 4)*(a + 170)**2*(2*a + 1)
Factor 2*n**3 + 1054*n**2 - 96514*n + 2047458.
2*(n - 41)**2*(n + 609)
Find m, given that 2*m**4/9 - 2704*m**3/9 + 309124*m**2/3 - 9071920*m/9 + 22512050/9 = 0.
5, 671
Suppose -2*k**4 + 12636*k**3 - 19983818*k**2 + 79783704*k - 79733192 = 0. What is k?
2, 3157
Find q such that -5*q**2 + 24215*q + 3028650 = 0.
-122, 4965
Suppose -2*u**2/11 - 4854*u/11 - 29052/11 = 0. What is u?
-2421, -6
Let 834*k**3 + 11674*k**2 - 100108*k + 240 = 0. Calculate k.
-20, 1/417, 6
Factor -2*s**2 + 2354*s - 211484.
-2*(s - 1079)*(s - 98)
Let -n**5/9 - 699*n**4 + 31472*n**3/9 - 5596*n**2 + 25184*n/9 = 0. Calculate n.
-6296, 0, 1, 2
Let -3*z**3 - 1195806*z**2 = 0. Calculate z.
-398602, 0
Solve 5*d**5 + 2000*d**4 + 147845*d**3 - 935470*d**2 + 1903340*d - 1279720 = 0.
-299, -107, 2
Factor -3*s**2/7 + 33816*s/7 - 95293488/7.
-3*(s - 5636)**2/7
Factor -2*i**2/7 - 496*i/7 + 5160/7.
-2*(i - 10)*(i + 258)/7
Factor -3*x**2/2 + 14820*x - 29637/2.
-3*(x - 9879)*(x - 1)/2
Find g, given that -4*g**5 - 1972*g**4 + 20020*g**3 - 50300*g**2 = 0.
-503, 0, 5
Factor 5*o**2 + 14305*o - 28630.
5*(o - 2)*(o + 2863)
What is x in 4*x**3 + 8532*x**2 + 8528*x = 0?
-2132, -1, 0
Suppose -2*m**5 - 1570*m**4 - 110944*m**3 - 2262728*m**2 - 7769664*m - 7350912 = 0. What is m?
-709, -36, -2
Solve 5*p**4 - 25*p**2 + 20 = 0 for p.
-2, -1, 1, 2
Suppose -4*z**2 - 7871944*z - 3872968896196 = 0. What is z?
-983993
Suppose 2*v**3/5 - 966*v**2/5 + 31008*v - 8271232/5 = 0. Calculate v.
152, 179
What is l in 2*l**3/9 - 123304*l**2/9 - 41102*l/3 = 0?
-1, 0, 61653
Determine m, given that -m**5/4 + 24*m**4 + 3811*m**3/4 - 1953*m**2/2 = 0.
-31, 0, 1, 126
Determine r, given that 26*r**3/5 - 124*r**2 + 1984*r/5 + 64 = 0.
-2/13, 4, 20
Solve k**3/11 - 26391*k**2/11 + 174108024*k/11 + 174134416/11 = 0.
-1, 13196
Suppose l**4/2 + 64*l**3 - 687*l**2/2 - 1471*l - 1064 = 0. Calculate l.
-133, -2, -1, 8
Solve -32*q**3 - 12*q**2 + 18*q - 2 = 0.
-1, 1/8, 1/2
Factor -3*q**2/4 + 28995*q - 280236675.
-3*(q - 19330)**2/4
Factor -n**2/5 - 214*n/5 - 4224/5.
-(n + 22)*(n + 192)/5
Factor 15*v**2/2 + 13595*v/4 - 302575/2.
5*(v + 494)*(6*v - 245)/4
Determine m so that m**2/4 - 1435*m/4 - 5047/2 = 0.
-7, 1442
Let -2*x**2/7 - 1156548*x/7 - 167200409538/7 = 0. What is x?
-289137
Determine k so that 495*k**4 + 24370*k**3 + 50855*k**2 - 50580*k + 8460 = 0.
-47, -3, 2/9, 6/11
Suppose -50*w**3 + 484*w**2 - 1504*w + 1472 = 0. Calculate w.
2, 92/25, 4
Factor 242*a**2 - 425700*a + 187211250.
2*(11*a - 9675)**2
Determine j so that j**3/4 - 103*j**2/2 + 8249*j/4 + 63845 = 0.
-20, 113
Let 3*n**5/4 + 27*n**4 + 1095*n**3/4 + 1197*n**2/2 = 0. What is n?
-19, -14, -3, 0
Factor m**2 - 89*m - 1100.
(m - 100)*(m + 11)
Factor r**2/6 + 127*r/2 + 17869/3.
(r + 167)*(r + 214)/6
Factor -2*r**4/13 + 162*r**3/13 + 9680*r**2/13.
-2*r**2*(r - 121)*(r + 40)/13
Factor -2*k**2 - 46412*k - 269259218.
-2*(k + 11603)**2
Factor 2*q**4 + 5102*q**3 + 55880*q**2.
2*q**2*(q + 11)*(q + 2540)
Determine l, given that -3*l**5 - 999*l**4 + 15708*l**3 + 16704*l**2 = 0.
-348, -1, 0, 16
What is c in -4*c**2 + 5531316*c + 5531320 = 0?
-1, 1382830
Suppose 2*u**4 + 124*u**3 + 2322*u**2 + 11664*u = 0. What is u?
-27, -8, 0
Suppose 5*d**4 - 16650*d**3 - 100560*d**2 + 1602400*d - 3736320 = 0. What is d?
-14, 4, 3336
Factor 75*u**3 - 3172020*u**2 - 7613172*u - 4567968.
3*(u - 42296)*(5*u + 6)**2
Factor v**3/4 + 385*v**2 - 59603*v/4 + 284829/2.
(v - 19)**2*(v + 1578)/4
Suppose w**3/5 - 23*w**2/5 - 74*w/5 + 120 = 0. What is w?
-6, 4, 25
What is h in 16*h**3 - 6940*h**2 + 167992*h + 42432 = 0?
-1/4, 26, 408
Determine f so that 3*f**2 + 119082*f = 0.
-39694, 0
Factor -g**3 - 21736*g**2 - 651405*g - 4883850.
-(g + 15)**2*(g + 21706)
Factor -484*r**2 - 508024*r - 133310116.
-4*(11*r + 5773)**2
Find o, given that -5*o**4 - 15*o**3 + 150*o**2 + 640*o + 480 = 0.
-4, -1, 6
What is h in 4*h**5/7 - 1048*h**4/7 + 6180*h**3/7 - 9232*h**2/7 + 4096*h/7 = 0?
0, 1, 4, 256
Solve t**3 + 197*t**2 + 382*t - 1560 = 0.
-195, -4, 2
Factor 3*m**3/4 - 158583*m**2/4 + 317157*m/4 - 158577/4.
3*(m - 52859)*(m - 1)**2/4
Find s such that -s**4 - 94*s**3 - 2817*s**2 - 30996*s - 84672 = 0.
-48, -21, -4
Factor -147*p**3/4 - 465969*p**2 + 266277*p - 38040.
-3*(p + 12680)*(7*p - 2)**2/4
Factor 2*u**2/9 + 298*u/9 - 4148/3.
2*(u - 34)*(u + 183)/9
Determine l, given that 2*l**3 + 39566*l**2 + 195703326*l + 195663762 = 0.
-9891, -1
Let -605*o**5 - 6270*o**4 - 13330*o**3 + 17580*o**2 + 13095*o - 12150 = 0. What is o?
-6, -5, -1, 9/11
Find j, given that 4*j**3 + 4684*j**2 - 481080*j = 0.
-1266, 0, 95
Determine w, given that -2*w**2/3 - 3542*w/3 - 166012 = 0.
-1617, -154
Find b such that -b**5/5 - 39*b**4/10 - 131*b**3/5 - 679*b**2/10 - 39*b + 40 = 0.
-8, -5, -2, 1/2
What is z in z**2/3 - 155*z - 1422 = 0?
-9, 474
Find c, given that 4*c**5 + 412*c**4 + 8508*c**3 + 55796*c**2 + 39776*c - 377520 = 0.
-78, -11, -5, 2
Suppose -2*k**2/5 + 222*k/5 - 1136 = 0. What is k?
40, 71
Let 12*m**3 + 17241*m**2 - 38847*m + 8634 = 0. What is m?
-1439, 1/4, 2
What is t in 15*t**5 - 804*t**4 + 1731*t**3 + 12882*t**2 + 14004*t + 3672 = 0?
-2, -1, -2/5, 6, 51
Solve -5*t**5 - 85*t**4 + 125*t**3 + 625*t**2 - 120*t - 540 = 0 for t.
-18, -2, -1, 1, 3
Solve -2*q**5/7 + 19814*q**4/7 - 65399388*q**3/7 + 10258329056*q**2 + 51469341952*q + 61830580224 = 0 for q.
-3, -2, 3304
Suppose -c**5/4 - 15*c**4 - 207*c**3/2 + 602*c**2 + 5823*c/4 + 765 = 0. Calculate c.
-51, -12, -1, 5
Solve -4*c**2 - 24280*c - 36844900 = 0 for c.
-3035
Factor 2*u**2 + 369568*u + 17072563328.
2*(u + 92392)**2
Factor 5*r**2 - 3920030*r + 768331760045.
5*(r - 392003)**2
Let -2*d**3/19 - 446*d**2/19 + 5576*d/19 - 15040/19 = 0. Calculate d.
-235, 4, 8
Suppose u**3/3 + 2966*u**2/3 - 44731*u/3 - 47696/3 = 0. What is u?
-2981, -1, 16
Factor 5*v**3 - 22195*v**2 + 24123920*v + 1130976900.
5*(v - 2242)**2*(v + 45)
Find b, given that b**5/7 - 38429*b**4/7 - 307480*b**3/7 - 87856*b**2 = 0.
-4, 0, 38437
Let u**4/3 + 12479*u**3/3 + 16635*u**2 + 62377*u/3 + 24950/3 = 0. Calculate u.
-12475, -2, -1
Factor q**2/6 - 201709*q/3 + 40686520681/6.
(q - 201709)**2/6
Suppose -48*q**4/5 + 254*q**3/5 + 252*q**2/5 - 254*q/5 - 204/5 = 0. What is q?
-1, -17/24, 1, 6
Factor 3*l**2 + 23460*l + 421308.
3*(l + 18)*(l + 7802)
Factor 5*y**2/6 + 1313984*y/3 - 175198.
(y + 525594)*(5*y - 2)/6
Suppose -40943*u**4 - 11699*u**3 - 2*u**2/7 = 0. What is u?
-2/7, -1/40943, 0
Suppose 3*h**3 - 177*h**2 - 3*h + 177 = 0. What is h?
-1, 1, 59
Factor -9604*r**3 + 259504*r**2 - 5293*r + 27.
-(r - 27)*(98*r - 1)**2
Determine k so that -5*k**5 - 380*k**4 - 1460*k**3 - 1440*k**2 = 0.
-72, -2, 0
Factor 155*l**3 + 200460*l**2.
5*l**2*(31*l + 40092)
Factor u**2 - 1061*u - 6402.
(u - 1067)*(u + 6)
Factor -2*l**4/5 + 14126*l**3 + 211902*l**2/5 + 211906*l/5 + 70636/5.
-2*(l - 35318)*(l + 1)**3/5
Let 10*z**2/9 + 44072*z/3 - 52888/9 = 0. What is z?
-13222, 2/5
Factor 2*c**3 - 200*c**2 + 5600*c - 48000.
2*(c - 60)*(c - 20)**2
Solve -i**4/4 + 551*i**3/4 - 1641*i**2/2 + 1637*i - 1090 = 0.
2, 545
Factor 3*y**2/5 + 113550*y + 5372334375.
3*(y + 94625)**2/5
Determine m so that 2*m**2/7 + 1532*m/7 - 2442 = 0.
-777, 11
Suppose x**5/10 + 163*x**4/10 - x**3/10 - 163*x**2/10 = 0. What is x?
-163, -1, 0, 1
Factor -i**4/8 + 45*i**3/4 - 87*i**2/2 + 43*i.
-i*(i - 86)*(i - 2)**2/8
Find d such that 3*d**2/7 + 115158*d/7 + 1105113747/7 = 0.
-19193
Determine h, given that -h**5/3 + 26*h**4 - 1969*h**3/3 + 5328*h**2 + 8432*h/3 - 123008 = 0.
-4, 8, 12, 31
Suppose -4*g**4 + 3396*g**3 - 65948*g**2 - 308100*g - 238752 = 0. What is g?
-3, -1, 24, 829
Factor -4*x**3 + 1104*