840 = 0.
-426, 10
Factor q**4 - 11*q**3 + 31*q**2 - 21*q.
q*(q - 7)*(q - 3)*(q - 1)
Factor -13*m**2/2 - 25253*m/2 - 62970.
-(m + 5)*(13*m + 25188)/2
Factor 3*f**2 - 39123*f/4 - 29349/4.
3*(f - 3261)*(4*f + 3)/4
Let 2*h**2/25 - 16*h + 19968/25 = 0. Calculate h.
96, 104
Suppose -2*u**3 - 4190*u**2 + 380336*u - 8452576 = 0. What is u?
-2183, 44
Factor -20*l**2/3 - 3844*l + 4616/3.
-4*(l + 577)*(5*l - 2)/3
Factor -3*m**3 - 10626*m**2 - 21243*m - 10620.
-3*(m + 1)**2*(m + 3540)
Factor -s**3 - 924501*s**2 - 1848999*s - 924499.
-(s + 1)**2*(s + 924499)
Find d such that -5*d**2/3 + 2360*d/3 + 16400 = 0.
-20, 492
Suppose 646*z**2 - 541*z - 105 = 0. What is z?
-105/646, 1
Determine k so that -k**5/5 - 7562*k**4/5 - 14227768*k**3/5 + 257735376*k**2/5 - 309937104*k + 620529120 = 0.
-3790, 6
Factor 3*f**2/4 + 451575*f/2 + 67973326875/4.
3*(f + 150525)**2/4
Suppose n**2 - 222*n - 1135 = 0. What is n?
-5, 227
Suppose -3*j**5/4 + 249*j**4/4 - 3675*j**3/2 + 23475*j**2 - 132750*j + 270000 = 0. What is j?
5, 8, 10, 30
Suppose -3*i**3 - 67722*i**2 - 1082976*i - 4331136 = 0. What is i?
-22558, -8
Factor -2*g**3 + 16366*g**2 + 98250*g + 147402.
-2*(g - 8189)*(g + 3)**2
Suppose k**3/7 + 3666*k**2/7 + 3311724*k/7 - 88600616/7 = 0. Calculate k.
-1846, 26
Factor 2*l**2/9 - 171470*l/3 + 1028812/9.
2*(l - 257203)*(l - 2)/9
Factor -2*c**3/3 + 235*c**2/6 - 887*c/3 + 200.
-(c - 50)*(c - 8)*(4*c - 3)/6
Let 4*s**4 + 28*s**3 - 468*s**2 + 1620*s - 1728 = 0. What is s?
-16, 3
Solve 2*o**2/5 - 34452*o/5 + 148367538/5 = 0 for o.
8613
Factor 45*j**3 + 638*j**2 + 108*j - 56.
(j + 14)*(5*j + 2)*(9*j - 2)
Determine g so that -g**2/4 + 31017*g/2 - 962054289/4 = 0.
31017
Factor 2*a**2 + 5612*a - 5614.
2*(a - 1)*(a + 2807)
Factor 5*h**4 - 9260*h**3 - 9295*h**2 + 55590*h.
5*h*(h - 1853)*(h - 2)*(h + 3)
Let -5*o**3 - 3310*o**2 + 1124635*o - 79283820 = 0. What is o?
-924, 131
Factor -3*r**2/4 + 232545*r/4 + 58137.
-3*(r - 77516)*(r + 1)/4
Let 20*g**5 - 8255*g**4 + 134495*g**3 - 729780*g**2 + 1234620*g + 356400 = 0. What is g?
-1/4, 5, 6, 396
Factor -4*f**2 - 86136*f - 463713156.
-4*(f + 10767)**2
Suppose -2*u**3/7 - 27830*u**2/7 - 31792*u - 445024/7 = 0. What is u?
-13907, -4
Let -3*a**3/7 + 13590*a**2/7 + 13593*a/7 = 0. What is a?
-1, 0, 4531
Solve -u**4/4 + 26*u**3 - 2593*u**2/4 - 2805*u/2 = 0 for u.
-2, 0, 51, 55
Find f, given that -2*f**4/7 - 3086*f**3/7 - 166710*f**2 + 18161606*f/7 - 2427364 = 0.
-779, 1, 14
Find o, given that 4*o**5 + 100*o**4 + 904*o**3 + 3312*o**2 + 2592*o - 6912 = 0.
-8, -6, 1
Factor 2*k**2/19 - 36*k + 7920/19.
2*(k - 330)*(k - 12)/19
Determine w, given that 2*w**2/3 + 398*w - 4872 = 0.
-609, 12
Find z, given that -z**2/3 + 1115*z/3 - 5500 = 0.
15, 1100
Find g, given that -4*g**2/3 + 14764*g + 132984 = 0.
-9, 11082
Solve -t**3/7 + 71126*t**2 - 8853088783*t = 0 for t.
0, 248941
Find n, given that -4*n**5 - 1216*n**4 + 2452*n**3 + 1216*n**2 - 2448*n = 0.
-306, -1, 0, 1, 2
Solve 7*p**5/2 + 246*p**4 - 14721*p**3/2 + 3547*p**2 + 44586*p + 12276 = 0.
-93, -2, -2/7, 3, 22
Factor -2*g**2 + 4540*g + 18192.
-2*(g - 2274)*(g + 4)
Solve 4*p**5 - 1248*p**4 - 31016*p**3 + 65760*p**2 - 33500*p = 0 for p.
-25, 0, 1, 335
Solve -q**2 - 18962*q - 89889361 = 0.
-9481
Suppose -c**3/5 + 43*c**2/5 - 227*c/5 + 37 = 0. Calculate c.
1, 5, 37
Suppose 3*k**3 - 5775*k**2 - 57987*k - 121905 = 0. Calculate k.
-7, -3, 1935
Let -68*p**4/5 + 3316*p**3/5 + 27032*p**2/5 + 29024*p/5 + 5376/5 = 0. Calculate p.
-6, -1, -4/17, 56
Solve 5*t**4 + 7290*t**3 + 7280*t**2 - 7290*t - 7285 = 0 for t.
-1457, -1, 1
Factor 226*s**2 + 1586*s + 28.
2*(s + 7)*(113*s + 2)
Factor 2*h**3/5 + 25992*h**2/5 + 85094058*h/5 + 837994580.
2*(h + 50)*(h + 6473)**2/5
Factor -6*x**3/11 + 401604*x**2/11 - 803190*x/11 + 401592/11.
-6*(x - 66932)*(x - 1)**2/11
Let 10*h**5/3 + 187*h**4/9 + 10*h**3/9 - 199*h**2/9 - 40*h/9 + 4/3 = 0. What is h?
-6, -1, -2/5, 1/6, 1
What is w in 10*w**5/3 - 368*w**4 + 2910*w**3 - 16636*w**2/3 + 3816*w - 816 = 0?
2/5, 1, 6, 102
What is v in v**3/4 - 169*v**2/4 + 5119*v/4 + 5289/4 = 0?
-1, 41, 129
Suppose -3*u**2/4 + 459*u/2 + 930 = 0. Calculate u.
-4, 310
Factor 3*o**2 - 48*o - 1683.
3*(o - 33)*(o + 17)
Factor -1014*m**3 - 16124524*m**2 + 4961416*m/3 - 127216/3.
-2*(m + 15902)*(39*m - 2)**2/3
Factor -3*t**3 + 128964*t**2 + 128985*t - 773802.
-3*(t - 42989)*(t - 2)*(t + 3)
Factor 5*h**3 + 2685*h**2 + 86955*h - 84303725.
5*(h - 145)*(h + 341)**2
Determine f, given that -2*f**5/7 + 530*f**4/7 - 38876*f**3/7 + 500348*f**2/7 - 284750*f + 218750 = 0.
1, 7, 125
Factor u**2/9 - 47705*u/9.
u*(u - 47705)/9
Factor -r**4 + 109*r**3 - 399*r**2 - 2205*r.
-r*(r - 105)*(r - 7)*(r + 3)
Determine r, given that -r**3/6 - 602*r**2/3 + r/6 + 602/3 = 0.
-1204, -1, 1
Factor -z**2 + 2801*z + 22472.
-(z - 2809)*(z + 8)
What is t in t**3 + 9594*t**2 + 19185*t + 9592 = 0?
-9592, -1
Solve -b**5/3 + 2462*b**4 - 13697069*b**3/3 + 216707560*b**2/3 + 343810500*b + 1086338000/3 = 0 for b.
-2, 20, 3685
Determine w so that 2*w**5 + 278*w**4 + 5024*w**3 + 32056*w**2 + 76672*w + 60928 = 0.
-119, -8, -2
Let -6*d**5/5 - 76*d**4/5 - 318*d**3/5 - 528*d**2/5 - 376*d/5 - 96/5 = 0. What is d?
-6, -4, -1, -2/3
Let -3*b**3/7 + 1875*b**2/7 - 45543*b + 2348703 = 0. Calculate b.
119, 387
Determine c, given that -5*c**3 - 7400*c**2 + 304000*c = 0.
-1520, 0, 40
Let 10*h**4 + 5*h**3 - 1330*h**2 + 655*h + 660 = 0. Calculate h.
-12, -1/2, 1, 11
Find z such that -z**3/6 - 45449*z**2/3 - 181790*z/3 - 60596 = 0.
-90894, -2
Factor -3*i**3 + 5916*i**2 - 2868684*i - 47425728.
-3*(i - 994)**2*(i + 16)
Find s, given that -2*s**4/9 - 54*s**3 + 37994*s**2/9 - 210782*s/3 - 74536 = 0.
-308, -1, 33
Factor 3*z**2/7 - 3512*z/7 - 1171/7.
(z - 1171)*(3*z + 1)/7
Factor -2*s**3 - 1450*s**2 + 13212*s.
-2*s*(s - 9)*(s + 734)
Find u such that 5*u**5 - 25*u**4 - 145*u**3 + 185*u**2 + 140*u - 160 = 0.
-4, -1, 1, 8
Solve -2*c**3/7 - 72*c**2 + 20088*c/7 - 186624/7 = 0.
-288, 18
Find g such that 5*g**4/6 + 99875*g**3/6 + 110839055*g**2 + 738188073010*g/3 + 737855605780/3 = 0.
-6658, -1
Factor 3*k**2 + 1623*k - 212550.
3*(k - 109)*(k + 650)
Solve -290*k**3/7 + 3848*k**2/7 + 2984*k/7 - 32 = 0.
-4/5, 2/29, 14
Factor -33*m**2/4 + 5217*m/2 - 474.
-3*(m - 316)*(11*m - 2)/4
Factor -2*o**2 - 60170*o - 120332.
-2*(o + 2)*(o + 30083)
Factor s**2/7 + 67759*s/7.
s*(s + 67759)/7
Factor -x**2/10 + 102*x/5 - 2023/2.
-(x - 119)*(x - 85)/10
Factor -2*g**4/9 - 1480*g**3/9 - 96532*g**2/3 - 5844520*g/9 - 31189202/9.
-2*(g + 11)**2*(g + 359)**2/9
Find l such that l**5 - 687*l**4 + 1370*l**3 = 0.
0, 2, 685
Factor -2*q**3/5 + 111814*q**2/5 - 1562740416*q/5 - 1562852232/5.
-2*(q - 27954)**2*(q + 1)/5
Find z such that -z**2/2 - 62561*z/2 - 31280 = 0.
-62560, -1
Factor -9*j**2/4 + 263*j + 295.
-(j - 118)*(9*j + 10)/4
Solve 2*k**3 + 89822*k**2 + 1008543870*k + 1008454050 = 0 for k.
-22455, -1
Suppose -14*i**4 - 494*i**3 - 2478*i**2 + 2174*i + 812 = 0. Calculate i.
-29, -7, -2/7, 1
Factor 2*v**2/11 + 8648*v/11 - 17304/11.
2*(v - 2)*(v + 4326)/11
Find n, given that 3*n**3 - 51*n**2 - 111*n - 57 = 0.
-1, 19
Factor 2*p**3/7 + 1332*p**2/7 + 38218*p/7 + 36888/7.
2*(p + 1)*(p + 29)*(p + 636)/7
Factor 3*n**3/2 + 57*n**2/2 + 135*n.
3*n*(n + 9)*(n + 10)/2
Find a such that -3*a**5 + 76*a**4 - 377*a**3 - 796*a**2 - 340*a = 0.
-1, -2/3, 0, 10, 17
Let -3*p**3 - 2844*p**2 - 719775*p - 54941250 = 0. Calculate p.
-598, -175
Let -3*v**5/4 - 711*v**4/4 - 58725*v**3/4 - 1873125*v**2/4 - 3796875*v = 0. What is v?
-75, -12, 0
Factor 18*y**2 + 2325*y - 1950.
3*(y + 130)*(6*y - 5)
Factor 4*f**3 - 7356*f**2 + 29340*f + 36700.
4*(f - 1835)*(f - 5)*(f + 1)
Determine f, given that 4*f**5/9 - 308*f**4/9 + 2504*f**3/9 - 3712*f**2/9 - 2176*f/3 = 0.
-1, 0, 4, 6, 68
What is t in 21*t**3 - 103935*t**2 - 282282*t + 89136 = 0?
-3, 2/7, 4952
Factor 4*j**2 - 160328*j.
4*j*(j - 40082)
Factor -s**5/5 - 12*s**4/5 + 27*s**3/5 - 14*s**2/5.
-s**2*(s - 1)**2*(s + 14)/5
Let -q**4/10 + 27*q**3/10 - 81*q**2/5 - 182*q/5 + 588/5 = 0. Calculate q.
-3, 2, 14
Find i such that 4*i**3/5 + 7134536*i**2/5 + 3181350245956*i/5 = 0.
-891817, 0
Factor -h**2/4 + 46277*h/4.
-h*(h - 46277)/4
Factor -5*w**3 - 440*w**2 - 9225*w + 20250.
-5*(w - 2)*(w + 45)**2
Suppose -126*v**5/5 - 12566*v**4/5 - 323998*v**3/5 - 534018*v**2/5 - 260876*v/5 - 38416/5 = 0. What is v?
-49, -1