 -8
Let 169*q**3/6 + 563888*q**2 - 173506*q + 40040/3 = 0. Calculate q.
-20020, 2/13
Factor -o**2/3 + 349794*o - 91766881827.
-(o - 524691)**2/3
Find s such that 2*s**3/3 - 33778*s**2/3 - 67562*s/3 - 33782/3 = 0.
-1, 16891
Find u, given that -5*u**3/3 + 1160*u**2/3 + 16375*u/3 - 36750 = 0.
-18, 5, 245
Factor 28*c**3/9 - 10*c**2/3 - 52*c/9.
2*c*(c - 2)*(14*c + 13)/9
Suppose 10*q**3 + 1394*q**2 + 11036*q + 4192 = 0. What is q?
-131, -8, -2/5
Solve 27*i**5/2 + 24705*i**4/2 + 24669*i**3 + 16439*i**2 + 9131*i/2 + 913/2 = 0.
-913, -1, -1/3
Factor -m**2/5 + 121069*m/5 + 242142/5.
-(m - 121071)*(m + 2)/5
Solve h**5 + 139*h**4 + 6396*h**3 + 91264*h**2 - 473984*h - 8760240 = 0 for h.
-46, -10, 9
Factor 5*s**3/6 - 40*s**2 + 250*s + 2000/3.
5*(s - 40)*(s - 10)*(s + 2)/6
Suppose -s**2/3 + 17790*s = 0. What is s?
0, 53370
Factor -2*x**2/11 + 7958*x/11 + 2172.
-2*(x - 3982)*(x + 3)/11
Find s, given that 3*s**4/2 - 213*s**3/2 + 747*s**2/2 + 3777*s/2 + 1407 = 0.
-2, -1, 7, 67
What is b in b**2/3 + 703*b/3 = 0?
-703, 0
Factor 3*q**5 - 33*q**4 + 21*q**3 + 105*q**2 - 156*q + 60.
3*(q - 10)*(q - 1)**3*(q + 2)
Factor -r**2/2 - 12936*r - 336167/2.
-(r + 13)*(r + 25859)/2
Factor -s**2/7 + 378153*s/7.
-s*(s - 378153)/7
Determine b so that 98*b**3 + 13776*b**2 - 19830*b + 7100 = 0.
-142, 5/7
Let -u**2 - 2843*u + 25668 = 0. Calculate u.
-2852, 9
Suppose -2*t**3/7 - 1332*t**2 + 37322*t/7 - 27996/7 = 0. Calculate t.
-4666, 1, 3
Factor -g**3/4 - 27*g**2/2 + 1441*g/4 + 23595/2.
-(g - 33)*(g + 22)*(g + 65)/4
Factor -2*n**2/17 + 686*n/17 + 8520/17.
-2*(n - 355)*(n + 12)/17
Factor -28*j**4 - 13976*j**3 - 2472624*j**2 - 176257312*j - 3798354560.
-4*(j + 154)**3*(7*j + 260)
Determine w so that -2*w**2 - 3510*w = 0.
-1755, 0
Determine h, given that h**4/6 + 793*h**3/6 + 26267*h**2 + 25344*h - 156816 = 0.
-396, -3, 2
Factor -2*h**2/9 + 488810*h/9 + 488812/9.
-2*(h - 244406)*(h + 1)/9
What is p in 3*p**2 + 1263*p + 26334 = 0?
-399, -22
Suppose -352947*l**5/5 - 345744*l**4/5 + 1298892*l**3/5 + 1370688*l**2/5 + 451584*l/5 + 49152/5 = 0. Calculate l.
-2, -16/49, 2
Let -t**3/4 - 755*t**2/2 = 0. Calculate t.
-1510, 0
Suppose 2*b**4/7 + 890*b**3/7 + 53292*b**2/7 - 11476648*b/7 - 11806768 = 0. What is b?
-262, -7, 86
Find y such that y**3/7 - 381*y**2/7 - 6736*y/7 - 11940/7 = 0.
-15, -2, 398
Factor -23762*u**3/11 - 1855180*u**2/11 - 136064*u/11 - 2496/11.
-2*(u + 78)*(109*u + 4)**2/11
Factor -324*w**3 - 2979324*w**2 - 1324096*w - 147120.
-4*(w + 9195)*(9*w + 2)**2
Solve -2*x**2/3 + 25128*x - 150760/3 = 0.
2, 37690
Solve f**2 - 2490*f - 19984 = 0.
-8, 2498
Factor j**2 + 90916*j - 90917.
(j - 1)*(j + 90917)
Find z, given that 4*z**3/3 - 502192*z**2/3 - 502204*z = 0.
-3, 0, 125551
Factor 2*s**2 - 964*s - 4870.
2*(s - 487)*(s + 5)
What is r in -4*r**3 - 48*r**2 + 9244*r + 9288 = 0?
-54, -1, 43
Factor -s**3/8 + 131*s**2/2 - 17673*s/2 + 66564.
-(s - 258)**2*(s - 8)/8
Factor -b**2 + 11*b - 10.
-(b - 10)*(b - 1)
Factor -5*v**2 + 1565*v - 87600.
-5*(v - 240)*(v - 73)
Find p, given that 2*p**5/3 + 18*p**4 + 68*p**3 - 2176*p**2/3 + 1024*p = 0.
-16, 0, 2, 3
What is h in 2*h**4/3 - 410*h**3 - 3716*h**2/3 + 1648*h = 0?
-4, 0, 1, 618
Factor i**3/2 + 155*i**2/2 + 667*i + 1460.
(i + 4)*(i + 5)*(i + 146)/2
Factor -5*h**4 - 120*h**3 - 105*h**2 + 8330*h.
-5*h*(h - 7)*(h + 14)*(h + 17)
Let -2*r**3/5 - 1906*r**2 + 8*r/5 + 7624 = 0. Calculate r.
-4765, -2, 2
Factor y**3/4 - 7745*y**2/4 + 7743*y/2.
y*(y - 7743)*(y - 2)/4
What is z in -3*z**2 + 136099*z/3 - 15122/3 = 0?
1/9, 15122
Factor 4*u**2/7 + 297704*u/7 + 5539229476/7.
4*(u + 37213)**2/7
Factor -2*c**3 - 38*c**2 + 128*c - 88.
-2*(c - 2)*(c - 1)*(c + 22)
Suppose -4*z**4/9 + 2564*z**3/9 - 25352*z**2/9 + 70768*z/9 - 20192/3 = 0. Calculate z.
2, 6, 631
Factor -q**4/2 - 31*q**3 + 2*q**2 + 124*q.
-q*(q - 2)*(q + 2)*(q + 62)/2
Factor -3*a**3 + 91992*a**2 + 552060*a.
-3*a*(a - 30670)*(a + 6)
Find q, given that 9*q**3 - 20185*q**2 + 15692*q + 4484 = 0.
-2/9, 1, 2242
Determine p, given that p**2/9 - 12206*p/9 + 37246609/9 = 0.
6103
Solve -2*f**5 + 580*f**4 - 3928*f**3 - 9604*f**2 - 5094*f = 0 for f.
-1, 0, 9, 283
Determine t so that -2*t**2/9 + 31234*t/9 + 10412/3 = 0.
-1, 15618
Suppose 2*u**4/7 - 4014*u**3/7 + 12024*u**2/7 = 0. Calculate u.
0, 3, 2004
Let 2*x**5 - 28*x**4 - 112*x**3 + 3252*x**2 - 15282*x + 21384 = 0. What is x?
-11, 3, 4, 9
Let -o**5/5 + 82*o**4/5 - 2092*o**3/5 + 11096*o**2/5 + 211456*o/5 - 401408 = 0. Calculate o.
-10, 14, 32
Factor w**4 - 16814*w**3 + 100848*w**2 + 32*w - 537856.
(w - 16808)*(w - 4)**2*(w + 2)
What is v in -4*v**3 + 456*v**2 - 5652*v + 5200 = 0?
1, 13, 100
Let 10*v**4/17 - 314*v**3/17 + 1924*v**2/17 - 3600*v/17 + 1152/17 = 0. What is v?
2/5, 3, 4, 24
Suppose -d**4 - 1449*d**3 + 7262*d**2 - 11628*d + 5816 = 0. What is d?
-1454, 1, 2
Find a such that 189*a**4/2 - 22531*a**3/2 + 105383*a**2 - 21562*a - 2180 = 0.
-2/27, 2/7, 10, 109
Factor -2*s**2/15 + 12572*s/15 - 838.
-2*(s - 6285)*(s - 1)/15
Suppose r**3/4 + 55451*r**2/4 + 768731075*r/4 + 768675625/4 = 0. Calculate r.
-27725, -1
Factor -3*i**3 + 699*i**2 - 36600*i - 491172.
-3*(i - 122)**2*(i + 11)
Factor j**2/2 + 227199*j/2.
j*(j + 227199)/2
Solve -2*i**4/9 - 328*i**3/9 - 1138*i**2 + 71932*i/9 - 61360/9 = 0 for i.
-118, -52, 1, 5
Factor -3*o**2/7 - 57030*o/7 + 171117/7.
-3*(o - 3)*(o + 19013)/7
Suppose 5*w**4 + 730*w**3 + 13745*w**2 + 13020*w = 0. Calculate w.
-124, -21, -1, 0
Suppose -3*h**3/4 + 34629*h**2/4 = 0. What is h?
0, 11543
Factor m**4 + 54*m**3 + 609*m**2 - 3364*m.
m*(m - 4)*(m + 29)**2
Factor -4*o**2 + 28608*o - 57200.
-4*(o - 7150)*(o - 2)
Let -2*j**3 - 2348526*j**2 = 0. What is j?
-1174263, 0
Find y such that -3*y**4 - 204*y**3/5 + 3324*y**2/5 - 9936*y/5 + 3456/5 = 0.
-24, 2/5, 4, 6
Determine h, given that -4*h**5/3 + 1642*h**4/3 - 2438*h**3/3 - 6538*h**2/3 - 818*h = 0.
-1, -1/2, 0, 3, 409
Factor -b**3 + 229*b**2/8 + 23943*b/8 + 4473/4.
-(b - 71)*(b + 42)*(8*b + 3)/8
Find b such that -b**4 + 22*b**3 + 157*b**2 + 302*b + 168 = 0.
-3, -2, -1, 28
Let -49*c**2/6 - 1969*c/3 - 240 = 0. Calculate c.
-80, -18/49
Let 3*u**5/4 - 6315*u**4/4 - 69831*u**3/4 + 6315*u**2/4 + 17457*u = 0. Calculate u.
-11, -1, 0, 1, 2116
Factor 3*s**4 + 126*s**3 + 303*s**2 - 23004*s + 43740.
3*(s - 10)*(s - 2)*(s + 27)**2
What is u in -20*u**5/3 - 365*u**4/3 + 5650*u**3/3 - 16565*u**2/3 + 11740*u/3 + 4060/3 = 0?
-29, -1/4, 2, 7
Let 4*i**4 + 6732*i**3 + 2710860*i**2 - 103550732*i - 106254864 = 0. Calculate i.
-859, -1, 36
Factor c**3/9 + 175*c**2/9 - 386*c.
c*(c - 18)*(c + 193)/9
Let 3*b**4/2 - 69*b**3/2 + 12*b**2 + 2136*b + 5760 = 0. What is b?
-4, 15, 16
Find c, given that -4*c**4 - 4388*c**3 + 17596*c**2 - 22012*c + 8808 = 0.
-1101, 1, 2
Find u, given that u**3/10 - 19*u**2 + 740*u - 5600 = 0.
10, 40, 140
Factor -2*y**4/3 + 1080*y**3 - 12928*y**2/3.
-2*y**2*(y - 1616)*(y - 4)/3
Factor -2*h**3/7 + 241554*h**2/7 - 1041917298*h - 1041951806.
-2*(h - 60389)**2*(h + 1)/7
Solve w**3/2 - 5315*w**2/2 = 0 for w.
0, 5315
Factor 4*d**3 + 416*d**2 + 10164*d - 34344.
4*(d - 3)*(d + 53)*(d + 54)
Let -z**3 + 21264*z**2 - 113039424*z = 0. Calculate z.
0, 10632
Factor z**3/7 - 319*z**2/7 + 1886*z/7 - 2504/7.
(z - 313)*(z - 4)*(z - 2)/7
Solve -3*x**5/2 + 117*x**4 + 402*x**3 - 3069*x**2 + 5103*x/2 = 0.
-7, 0, 1, 3, 81
Determine i so that -2*i**2 + 216*i - 630 = 0.
3, 105
Solve 2*r**2/9 + 65332*r/9 + 533533778/9 = 0 for r.
-16333
Suppose v**5 - 116*v**4 + 3190*v**3 + 13252*v**2 - 167855*v - 696200 = 0. Calculate v.
-5, 8, 59
Factor c**3 - 1901*c**2 - 28756*c + 30656.
(c - 1916)*(c - 1)*(c + 16)
Suppose 2*p**3 - 6452*p**2 + 25782*p - 19332 = 0. Calculate p.
1, 3, 3222
Suppose -3*d**2 + 5316*d + 32004 = 0. What is d?
-6, 1778
Factor c**2/2 - 298818*c + 597635/2.
(c - 597635)*(c - 1)/2
Solve -13*u**2 - 2733*u - 630 = 0.
-210, -3/13
Suppose 2*q**3/15 - 64*q**2/15 + 134*q/5 + 612/5 = 0. Calculate q.
-3, 17, 18
What is x in 2714450*x**2/3 - 2330*x + 3/2 = 0?
3/2330
Solve 2*v**5/5 + 1206*v**4/5 + 179964*v**3/5 - 561708*v**2/5 - 1619838*v/5 + 4957686/5 = 0.
-303, -3, 3
Factor 2*c**4/3 - 2*c**3/3 - 650*c**2 + 34138*c/3 - 166972/3.
2*(c - 13)**3*(c + 38)/3
Find l, given that -2*l**2 + 918*l + 920 = 0.
-1, 460
Factor 2*s**3/3 - 184*s**2/3 + 1410*s - 3696.
2*(s - 56)*(s - 33)*(s - 3)/3
What is m in m**2/3 - 396*m + 10449 =