j**2/11 = 0 for j.
-30, 0, 40
Solve -4*i**3 + 248*i**2/3 - 388*i/3 + 152/3 = 0 for i.
2/3, 1, 19
Factor -14*x**2/5 - 110702*x/5 - 31628/5.
-2*(x + 7907)*(7*x + 2)/5
Factor 5*j**4/6 + 265*j**3/3 + 1165*j**2/2 + 495*j.
5*j*(j + 1)*(j + 6)*(j + 99)/6
Find h, given that 2*h**3 - 914*h**2 + 107550*h - 708750 = 0.
7, 225
Determine t so that -51*t**5/2 - 1959*t**4 - 43692*t**3 - 232311*t**2 - 664965*t/2 + 66150 = 0.
-35, -4, -3, 3/17
What is b in -b**3/2 + 523*b**2/2 - 3111*b/2 + 4653/2 = 0?
3, 517
Factor 10609*m**4/5 + 15244*m**3/5 - 498*m**2/5 - 4292*m/5 + 841/5.
(m + 1)**2*(103*m - 29)**2/5
Factor 2*b**2 - 47456*b + 281508992.
2*(b - 11864)**2
Let c**3/5 - 32*c**2 - 27299*c/5 + 11046 = 0. What is c?
-105, 2, 263
Factor -d**3 + 22336*d**2 + 22337*d.
-d*(d - 22337)*(d + 1)
Suppose -2*y**4 + 3064*y**3 - 1164276*y**2 - 7080952*y - 5913610 = 0. What is y?
-5, -1, 769
Factor 4*m**3/7 + 17860*m**2/7 + 71392*m/7 + 71376/7.
4*(m + 2)**2*(m + 4461)/7
Let -2*c**2/7 - 12214*c/7 + 73356/7 = 0. What is c?
-6113, 6
Factor 2*k**2/3 - 6272*k + 14751744.
2*(k - 4704)**2/3
Factor -4*u**3/3 - 10532*u**2/3 - 478124*u/3 - 5474092/3.
-4*(u + 23)**2*(u + 2587)/3
Factor -7*l**3/5 - 646*l**2 + 8361*l/5 + 4176/5.
-(l - 3)*(l + 464)*(7*l + 3)/5
Factor -2*d**2/9 - 46*d/3 + 7280/9.
-2*(d - 35)*(d + 104)/9
Determine c so that 7*c**4/4 - 379*c**3/2 - 41155*c**2 + 94934*c - 23760 = 0.
-110, 2/7, 2, 216
Determine q, given that 5*q**4 - 615*q**3 - 6865*q**2 + 28335*q + 34580 = 0.
-13, -1, 4, 133
Factor i**3/2 + 29575*i**2/2 + 218684943*i/2 + 218655369/2.
(i + 1)*(i + 14787)**2/2
Solve 3*r**2 - 9990*r + 8316675 = 0.
1665
Let -2*p**2/3 + 1438072*p - 775519153944 = 0. What is p?
1078554
Let -q**2/2 - 15437*q/2 + 38605 = 0. What is q?
-15442, 5
Suppose 7*a**3 + 982*a**2 + 1253*a + 278 = 0. What is a?
-139, -1, -2/7
Let -5*s**2/3 + 8030*s/3 - 23955 = 0. Calculate s.
9, 1597
Find q, given that -3*q**2 - 3672*q - 463749 = 0.
-1081, -143
Determine r so that -3*r**2/7 + 3810*r/7 - 7608/7 = 0.
2, 1268
Solve q**5 + 11*q**4 - 66*q**3 - 54*q**2 + 513*q - 405 = 0.
-15, -3, 1, 3
Factor 2*m**4/11 + 8416*m**3/11 + 803344*m**2 - 35448192*m/11 + 35481888/11.
2*(m - 2)**2*(m + 2106)**2/11
Find q such that -3*q**2 - 528*q - 1044 = 0.
-174, -2
Let -4*l**3/3 + 4100*l**2 - 16372*l - 61420/3 = 0. What is l?
-1, 5, 3071
Find i such that 14*i**2/9 - 9064*i/3 + 7768/9 = 0.
2/7, 1942
Suppose c**4 + 4704*c**3 + 5560056*c**2 + 66213504*c + 198133776 = 0. What is c?
-2346, -6
Factor 5*p**3 + 5305*p**2 - 21285*p + 15975.
5*(p - 3)*(p - 1)*(p + 1065)
Factor -374*y**2/5 - 26934*y/5 - 432/5.
-2*(y + 72)*(187*y + 3)/5
Factor 15*w**2 - 57917*w + 7722.
(w - 3861)*(15*w - 2)
Let 8*i**5 - 18610*i**4 - 107220*i**3 - 121280*i**2 + 37312*i = 0. Calculate i.
-4, -2, 0, 1/4, 2332
Factor -2*a**2/19 + 4212*a/19 - 12618/19.
-2*(a - 2103)*(a - 3)/19
Factor -l**2 + 104278*l - 2718475321.
-(l - 52139)**2
Factor 4*c**3 - 64*c**2 - 396*c + 4536.
4*(c - 18)*(c - 7)*(c + 9)
Factor -317*l**3/6 - 637*l**2/6 + 1583*l/2 + 15/2.
-(l - 3)*(l + 5)*(317*l + 3)/6
Determine y, given that -2*y**2/7 + 22824*y/7 + 45704 = 0.
-14, 11426
Factor -v**3/3 + 4127*v**2/3 + 4130*v.
-v*(v - 4130)*(v + 3)/3
Factor l**2/6 + 35699*l/6.
l*(l + 35699)/6
What is u in -3*u**3 + 4008*u**2/5 + 32073*u/5 + 5610 = 0?
-34/5, -1, 275
What is s in s**3/6 + 4597*s**2/3 - 193537*s/6 - 101365/3 = 0?
-9215, -1, 22
Factor -3*f**3/4 + 7479*f**2/4 - 4657545*f/4 - 4665027/4.
-3*(f - 1247)**2*(f + 1)/4
Suppose -3*u**2 - 11703*u - 11700 = 0. What is u?
-3900, -1
Suppose n**2/3 + 230*n - 3475/3 = 0. Calculate n.
-695, 5
Find y such that -6*y**3 + 868*y**2 + 1176*y - 1168 = 0.
-2, 2/3, 146
Let 2*l**2/9 - 548*l/3 + 313642/9 = 0. What is l?
301, 521
Suppose 4*n**2 + 229380*n + 229376 = 0. What is n?
-57344, -1
Let -h**3/7 + 65416*h**2/7 + 130836*h/7 = 0. What is h?
-2, 0, 65418
Solve -4*n**4 + 324*n**3 - 2520*n**2 - 38288*n - 63840 = 0.
-6, -2, 19, 70
Suppose 4*s**4/3 + 45340*s**3 + 136012*s**2 + 408028*s/3 + 45336 = 0. Calculate s.
-34002, -1
Factor -4*a**2 - 207592*a - 2693402404.
-4*(a + 25949)**2
Solve 3*t**4/4 - 45*t**3 - 1647*t**2/2 - 1509*t - 2925/4 = 0.
-13, -1, 75
Suppose 2*b**2/5 + 1718*b/5 - 24444/5 = 0. Calculate b.
-873, 14
Factor -2*f**3/19 + 8028*f**2/19 - 32080*f/19.
-2*f*(f - 4010)*(f - 4)/19
Determine w so that 484*w**2 - 13928*w/5 - 9984/5 = 0.
-78/121, 32/5
Let h**3/5 + 222932*h**2/5 + 445861*h/5 + 44586 = 0. What is h?
-222930, -1
Let -138457149009*d**4/2 - 129888014055*d**3/2 + 4196176623*d**2 - 87783018*d + 607836 = 0. Calculate d.
-1, 74/3587
Let -75*a**4 + 1428*a**3 + 6543*a**2 + 6636*a - 276 = 0. What is a?
-2, 1/25, 23
Determine j so that 4*j**5 - 800*j**4 + 43492*j**3 - 321704*j**2 - 1834640*j - 2021600 = 0.
-2, 14, 95
Determine f, given that 10*f**3/3 - 659*f**2 - 4594*f/3 - 400 = 0.
-2, -3/10, 200
Factor i**3/2 - 649*i**2/2 + 1295*i/2 - 647/2.
(i - 647)*(i - 1)**2/2
Suppose -p**4/5 - 3*p**3 - 3*p**2 + 31*p + 156/5 = 0. Calculate p.
-13, -4, -1, 3
Solve 4*g**2 - 92868*g + 185720 = 0 for g.
2, 23215
Factor s**2/3 - 8090*s/3 + 16362025/3.
(s - 4045)**2/3
What is v in -v**2 - 108*v = 0?
-108, 0
Suppose 2*n**4/11 - 44504*n**3/11 + 44502*n**2/11 = 0. Calculate n.
0, 1, 22251
Determine m, given that -m**4 + 850*m**3 - 10921*m**2 + 33516*m - 30132 = 0.
2, 9, 837
Find w such that 3*w**2 - 25332*w + 53475852 = 0.
4222
Factor 4*m**4 - 1992*m**3 + 255844*m**2 - 1952160*m + 3841600.
4*(m - 245)**2*(m - 4)**2
Find z, given that -z**5/2 + 18*z**4 + 225*z**3/2 - 4050*z**2 = 0.
-15, 0, 15, 36
Let 5*p**4 - 165*p**3 + 940*p**2 - 780*p = 0. What is p?
0, 1, 6, 26
Solve 2*s**3/3 + 5476*s**2/3 + 3709696*s/3 - 53014528/3 = 0.
-1376, 14
Factor 63*y**3 - 2652*y**2 + 7623*y - 702.
3*(y - 39)*(y - 3)*(21*y - 2)
Factor -3*g**3 + 1731*g**2 - 21996*g.
-3*g*(g - 564)*(g - 13)
Determine b so that 9*b**5/8 + 123*b**4/8 - 24*b**3 - 45*b**2/2 = 0.
-15, -2/3, 0, 2
Find d, given that -5*d**2 - 5348950*d - 1430563305125 = 0.
-534895
Factor -45*n**3 - 40098*n**2 - 8940512*n - 3569792.
-(3*n + 1336)**2*(5*n + 2)
Factor -2*t**3/9 - 295118*t**2/9 + 590254*t/3 - 295130.
-2*(t - 3)**2*(t + 147565)/9
Factor 12*m**2 - 124*m - 416.
4*(m - 13)*(3*m + 8)
Find r such that -r**3 - 21*r**2 + 186*r - 280 = 0.
-28, 2, 5
Determine w, given that -2*w**2/7 - 137128*w/7 + 19590 = 0.
-68565, 1
Find x such that -5*x**4/2 + 2540*x**3 - 1588995*x**2/2 + 70586640*x + 71383680 = 0.
-1, 153, 432
Solve -n**4/6 - 43*n**3/3 + 6091*n**2/6 + 12838*n/3 = 0.
-131, -4, 0, 49
Find l such that -l**2/4 - 1723*l/4 - 861/2 = 0.
-1722, -1
Suppose -14*u**4 - 166*u**3 - 96*u**2 + 664*u + 608 = 0. Calculate u.
-76/7, -2, -1, 2
Find g, given that -4*g**2 + 101592*g - 101588 = 0.
1, 25397
Let -2*l**3/3 - 18868*l**2/3 + 25168*l = 0. What is l?
-9438, 0, 4
Determine c, given that 2*c**5 - 952*c**4 + 68808*c**3 + 10586240*c**2 + 247308800*c = 0.
-40, 0, 278
Factor -y**2 + 789*y - 151074.
-(y - 462)*(y - 327)
Solve 2*t**4/7 - 248*t**3/7 - 764*t**2/7 + 248*t/7 + 762/7 = 0 for t.
-3, -1, 1, 127
Factor -g**3/3 + 580*g**2/3 + 15151*g/3 - 15730/3.
-(g - 605)*(g - 1)*(g + 26)/3
Find u such that 2*u**5/9 - 1876*u**4/9 + 545690*u**3/9 - 34713256*u**2/9 - 4283965984*u/9 + 4318135424/9 = 0.
-59, 1, 332
Let -4*r**3/7 - 119264*r**2/7 + 4*r/7 + 119264/7 = 0. Calculate r.
-29816, -1, 1
Solve 2*n**3 + 30382*n**2 + 30376*n - 60760 = 0 for n.
-15190, -2, 1
What is u in -2*u**4/13 - 508*u**3/13 - 33256*u**2/13 - 126500*u/13 - 93750/13 = 0?
-125, -3, -1
Factor -r**3 - 98340*r**2 + 196683*r - 98342.
-(r - 1)**2*(r + 98342)
Find d, given that -d**4/2 + 149*d**3 - 444*d**2 + 443*d - 295/2 = 0.
1, 295
Factor -l**3/3 - 50*l**2/3 + 3*l + 150.
-(l - 3)*(l + 3)*(l + 50)/3
Factor r**3/5 + 111*r**2/5 + 1476*r/5 + 3456/5.
(r + 3)*(r + 12)*(r + 96)/5
Factor 5*b**3 - 2532*b**2 + 65677*b - 25866.
(b - 479)*(b - 27)*(5*b - 2)
Factor -3*j**3 - 2154*j**2 + 151965*j - 2561328.
-3*(j - 33)**2*(j + 784)
Factor 3*r**2 - 34824*r + 101059248.
3*(r - 5804)**2
Suppose 119*f**5 - 3471*f**4 - 10610*f**3 - 5620*f**2 + 1656*f + 256 = 0. Calculate f.
-2, -1, -2/17, 2/7, 32
Solve 50*o**2 - 112904*o + 9032 = 0 for o.
2/25, 2258
Factor -i**4/7 - 444*i**3/7 - 443*i**2/7.
-i**2*(i + 1)*(i + 443)/7
Find v such that -v**5/4 - 335*v**4 + 2015*v**3/2 + 335*v**2 - 4029*v/4 = 0.
-1343, -1, 0, 1, 