99)
Factor -6*p**3/7 + 2130*p**2/7 + 2172*p/7 - 12816/7.
-6*(p - 356)*(p - 2)*(p + 3)/7
Find d such that d**2/6 + 1679*d/6 - 6237 = 0.
-1701, 22
Factor -k**3/2 - 16455*k**2/2 + 16457*k.
-k*(k - 2)*(k + 16457)/2
Factor -2*v**3/7 + 188*v**2/7 - 1280*v/7 - 8256/7.
-2*(v - 86)*(v - 12)*(v + 4)/7
Suppose 2*q**4 - 7740*q**3 + 7738*q**2 = 0. Calculate q.
0, 1, 3869
Factor 2*b**3/9 + 7208*b**2/3 + 6494408*b.
2*b*(b + 5406)**2/9
Factor 9*x**3 + 1164*x**2 - 12540*x.
3*x*(x - 10)*(3*x + 418)
Suppose g**2/8 + 7337*g - 29349/2 = 0. Calculate g.
-58698, 2
Find p, given that 180*p**5 + 69348*p**4 - 120628*p**3 + 44924*p**2 + 12368*p - 6192 = 0.
-387, -1/3, 2/5, 2/3, 1
Factor 12*b**2 - 494236*b + 164744.
4*(b - 41186)*(3*b - 1)
Let -3*b**4 + 2175*b**3 - 2172*b**2 = 0. Calculate b.
0, 1, 724
Let -q**4/9 - 568*q**3/9 - 27071*q**2/3 - 155650*q/9 + 640712/9 = 0. What is q?
-283, -4, 2
Suppose -5*v**2 + 116905*v + 116910 = 0. What is v?
-1, 23382
Suppose -18*d**3/7 - 104*d**2/7 + 24*d/7 = 0. What is d?
-6, 0, 2/9
Find a such that 21*a**4/2 - 663*a**3/2 + 906*a**2 + 3978*a + 1512 = 0.
-2, -3/7, 6, 28
Find n, given that n**5 + 178*n**4 + 4958*n**3 + 42236*n**2 + 70305*n + 32850 = 0.
-146, -15, -1
Factor 2*f**2/9 - 3676*f/9 + 1689122/9.
2*(f - 919)**2/9
Find x, given that -3*x**5/2 + 216*x**4 - 5424*x**3 + 49941*x**2 - 339933*x/2 + 125235 = 0.
1, 6, 11, 115
Find p such that 4*p**5/5 - 164*p**4/5 + 412*p**3 - 5212*p**2/5 - 6528*p - 5040 = 0.
-2, -1, 14, 15
Solve 2*x**3/3 - 7086*x**2 + 18832816*x - 56477192/3 = 0 for x.
1, 5314
Factor -4*u**3/7 + 72700*u**2/7 - 330730112*u/7 + 3629239856/7.
-4*(u - 9082)**2*(u - 11)/7
Let -m**2/2 - 12*m + 2881/2 = 0. Calculate m.
-67, 43
Solve 2*x**5/21 + 334*x**4/21 + 4066*x**3/7 - 68174*x**2/21 + 55640*x/21 = 0 for x.
-107, -65, 0, 1, 4
Factor -3*k**2 + 347184*k - 10044727488.
-3*(k - 57864)**2
What is a in -3*a**4 + 867*a**3 + 4449*a**2 - 11487*a + 6174 = 0?
-7, 1, 294
Factor -q**3 + 7891*q**2 - 7888*q - 15780.
-(q - 7890)*(q - 2)*(q + 1)
Factor -l**3/7 - 9918*l**2/7 + 318144*l/7 - 2547200/7.
-(l - 16)**2*(l + 9950)/7
Factor -13508*h**2 + 2544*h - 16.
-4*(11*h - 2)*(307*h - 2)
Find s such that -10*s**2/9 - 3938*s/9 + 1580/3 = 0.
-395, 6/5
Let -3*w**5 - 2771*w**4 - 32014*w**3 - 85668*w**2 + 54792*w + 65664 = 0. What is w?
-912, -6, -2/3, 1
Find d such that -d**4/10 + 517*d**3/5 - 1230*d**2 + 18396*d/5 = 0.
0, 6, 1022
Suppose -35*i**4/2 + 7229345*i**3/2 - 186663624015*i**2 + 879900160070*i + 266637976900 = 0. Calculate i.
-2/7, 5, 103274
Factor 4*o**5 + 824*o**4 - 3336*o**3 + 5024*o**2 - 3356*o + 840.
4*(o - 1)**4*(o + 210)
Factor k**3 - 137*k**2 + 2544*k - 12528.
(k - 116)*(k - 12)*(k - 9)
Factor -b**3/9 - 6406*b**2/9 - 10265612*b/9 - 20505608/9.
-(b + 2)*(b + 3202)**2/9
Find r, given that -r**4 - 1239*r**3/5 + 5268*r**2/5 - 6044*r/5 + 1008/5 = 0.
-252, 1/5, 2
Find s, given that -3*s**2/7 + 11082*s - 71639589 = 0.
12929
Factor 4*z**5 - 932*z**4 + 53820*z**3 + 54756*z**2.
4*z**2*(z - 117)**2*(z + 1)
Let 20*y**5 + 1650*y**4 - 4315*y**3/4 - 41535*y**2/2 - 40315*y/4 - 1245 = 0. What is y?
-83, -3, -1/4, 4
Factor -27*m**4/4 - 10991565*m**3/4 - 10991547*m**2/4 - 3663847*m/4 - 203547/2.
-(m + 407094)*(3*m + 1)**3/4
Factor 19*o**4/6 - 17*o**3 + 33*o**2/2 + 18*o.
o*(o - 3)**2*(19*o + 12)/6
Factor 245*u**3 - 21317065*u**2 - 12181240*u - 1740180.
5*(u - 87009)*(7*u + 2)**2
Solve 2*o**3/15 - 1168*o**2/3 + 13582*o/5 + 34956/5 = 0 for o.
-2, 9, 2913
Suppose m**5 - 22*m**4/3 - 1910*m**3/3 + 10500*m**2 - 45711*m + 14094 = 0. What is m?
-29, 1/3, 9, 18
Find v, given that 5*v**4 - 1425*v**3 - 18035*v**2 + 64005*v - 44550 = 0.
-15, 1, 2, 297
Factor t**2/3 - 376*t - 4528/3.
(t - 1132)*(t + 4)/3
Let -i**2/8 - 3221*i/8 - 805/2 = 0. Calculate i.
-3220, -1
Solve 11*n**5 + 24*n**4 - 128*n**3 - 222*n**2 + 261*n + 54 = 0.
-3, -2/11, 1, 3
Factor -i**4 - 99*i**3 + 2604*i**2 + 26656*i.
-i*(i - 28)*(i + 8)*(i + 119)
Find j such that 15*j**5 + 6252*j**4 + 179397*j**3/5 + 251832*j**2/5 + 123348*j/5 + 19728/5 = 0.
-411, -4, -1, -2/5
Find u, given that 3*u**2 + 28200*u + 28197 = 0.
-9399, -1
Factor -3*z**4 - 48*z**3 - 129*z**2 + 180*z.
-3*z*(z - 1)*(z + 5)*(z + 12)
Let -38*x**4/3 - 112*x**3 + 890*x**2/3 + 2996*x - 480 = 0. What is x?
-8, -6, 3/19, 5
Determine m so that 3*m**4 + 147*m**3 + 2526*m**2 + 17088*m + 32256 = 0.
-16, -14, -3
Determine k so that -k**4 - 952*k**3 - 15975*k**2 - 74864*k - 59840 = 0.
-935, -8, -1
Determine i, given that -3*i**2 + 429102*i - 15344043867 = 0.
71517
Factor 5*v**2 - 765*v - 32900.
5*(v - 188)*(v + 35)
Solve 54*v**5/11 - 1578*v**4/11 - 89292*v**3/11 - 608208*v**2/11 - 1052736*v/11 + 264960/11 = 0.
-23, -4, 2/9, 60
Find p, given that 86*p**3/7 - 58382*p**2 + 418090*p/7 - 9502/7 = 0.
1/43, 1, 4751
Suppose 5*a**5 - 970*a**4 - 11190*a**3 - 17780*a**2 + 72985*a - 43050 = 0. What is a?
-7, -6, 1, 205
Solve 5*z**2 - 320*z + 3840 = 0.
16, 48
Determine h, given that 3*h**2/5 - 1920396*h/5 + 307326733068/5 = 0.
320066
Suppose -12*g**2 + 5924*g + 1976 = 0. What is g?
-1/3, 494
Factor a**2/7 - 52270*a/7 + 683038225/7.
(a - 26135)**2/7
Determine j, given that 3*j**3 + 375*j**2 + 11904*j + 11532 = 0.
-62, -1
What is p in -4*p**2 + 49440*p + 98896 = 0?
-2, 12362
What is j in -6*j**4 - 4144*j**3 - 27342*j**2 + 12340*j + 19152 = 0?
-684, -7, -2/3, 1
Solve -3*z**2/7 + 405*z = 0.
0, 945
Let -525*m**4 + 157491*m**3 - 11809800*m**2 - 202500*m = 0. Calculate m.
-3/175, 0, 150
Factor -3*v**3 - 27564*v**2 - 64025088*v - 3255193344.
-3*(v + 52)*(v + 4568)**2
Let -5*o**2 + 38540*o - 74266580 = 0. What is o?
3854
Find y, given that -56*y**3 - 334*y**2/3 - 164*y/3 + 2/3 = 0.
-1, 1/84
Factor -c**2 + 1111*c + 5580.
-(c - 1116)*(c + 5)
Factor -h**3/6 + 11245*h**2/6 - 31606883*h/6 - 31618129/6.
-(h - 5623)**2*(h + 1)/6
Suppose -3*a**5 - 435*a**4 - 1635*a**3 + 7995*a**2 - 5922*a = 0. What is a?
-141, -7, 0, 1, 2
Let x**3 + 11079*x**2 + 30746904*x + 336876716 = 0. Calculate x.
-5534, -11
Suppose 3*f**4/8 + 9*f**3/8 - 75*f**2/4 - 99*f - 120 = 0. Calculate f.
-5, -4, -2, 8
Let -2*l**2/17 - 174*l/17 + 906116/17 = 0. What is l?
-718, 631
Factor -28*f**4 + 3520*f**3 - 1018112*f**2/7 + 13770752*f/7.
-4*f*(f - 32)*(7*f - 328)**2/7
Suppose 5*m**4 + 100510*m**3 - 301560*m**2 + 301570*m - 100525 = 0. Calculate m.
-20105, 1
Factor -3041750*g**4/3 + 88369450*g**3/3 - 1535020*g**2 + 80056*g/3 - 464/3.
-2*(g - 29)*(115*g - 2)**3/3
Factor -p**2 + 696980*p - 121445280100.
-(p - 348490)**2
Factor 5*w**2/2 + 953*w - 764.
(w + 382)*(5*w - 4)/2
Determine f, given that 2*f**3/11 - 96*f**2/11 + 864*f/11 = 0.
0, 12, 36
Solve -627*k**5 - 3126*k**4 - 4971*k**3 - 2436*k**2 + 36*k = 0.
-2, -1, 0, 3/209
Determine p, given that -3*p**2/2 + 447*p/2 - 1287 = 0.
6, 143
Factor -20*o**2 - 746824*o - 149364.
-4*(o + 37341)*(5*o + 1)
Find a such that -10*a**4/3 + 178*a**3/3 - 56*a**2/3 - 7864*a/3 + 2080 = 0.
-6, 4/5, 10, 13
Factor -r**2/4 + 210*r - 24779.
-(r - 698)*(r - 142)/4
Let 2*u**2/7 - 616296*u/7 + 47477594952/7 = 0. What is u?
154074
Determine i so that 4*i**3/9 - 328*i**2/3 - 9148*i/9 - 2720/3 = 0.
-8, -1, 255
Solve c**5/8 + 409*c**4/4 + 218917*c**3/8 + 5279781*c**2/2 + 166642281*c/2 = 0 for c.
-331, -78, 0
Find s such that s**2 + 283510*s + 20094480025 = 0.
-141755
Let -y**2/6 + 3766*y/3 - 7531/6 = 0. Calculate y.
1, 7531
Factor 4*n**3 - 195588*n**2 - 391188*n - 195596.
4*(n - 48899)*(n + 1)**2
Find f, given that f**4/2 + 98*f**3 + 2851*f**2 + 5410*f + 5313/2 = 0.
-161, -33, -1
Let -2*t**3 + 9478*t**2 + 381520*t + 3823200 = 0. Calculate t.
-20, 4779
What is d in -10*d**4 + 1565*d**3 + 850*d**2 - 10235*d + 4710 = 0?
-3, 1/2, 2, 157
Factor 2*g**2/5 + 14332*g/5 - 114784/5.
2*(g - 8)*(g + 7174)/5
Find v such that -4*v**2 - 31432*v + 62880 = 0.
-7860, 2
What is i in -3*i**4 + 774*i**3 - 34920*i**2 - 2109750*i + 6622875 = 0?
-35, 3, 145
Solve 4*n**2 - 786960*n + 38706627600 = 0.
98370
Determine g so that -2*g**2/5 + 304*g - 223278/5 = 0.
199, 561
Find n such that -n**4/2 + 77*n**3 + n**2/2 - 77*n = 0.
-1, 0, 1, 154
Suppose 2*k**5 + 66*k**4 - 3006*k**3 - 6202*k**2 - 3132*k = 0. What is k?
-58, -1, 0, 27
Find x, given that 4*x**5/7 - 296*x**4/7 + 6176*x**3/7 - 39304*x**2/7 - 6180*x/7 + 39600/7 = 0.
-1, 1, 15, 44
Factor -18*v**2 - 2949*v + 3465.
-3*(v + 165)*(6*v - 7)
Let -4*y**3 - 324*y**2 + 2116