 4275 = 0.
-171, 50
Suppose 3*n**2 - 1236*n - 12660 = 0. Calculate n.
-10, 422
Find b such that -3*b**3 + 61080*b**2 + 733284*b + 2200176 = 0.
-6, 20372
Factor -w**5/8 - 731*w**4/8 + 183*w**3/2.
-w**3*(w - 1)*(w + 732)/8
Factor -3*g**4 + 396*g**3 + 405*g**2 - 798*g.
-3*g*(g - 133)*(g - 1)*(g + 2)
Factor -7695*k**2/4 - k/2.
-k*(7695*k + 2)/4
Find f such that -f**3/3 + 46*f**2/3 - 123*f + 108 = 0.
1, 9, 36
Find u such that -4*u**2 + 567004*u + 1134024 = 0.
-2, 141753
Determine p, given that 11*p**4/4 - 5363*p**3/2 + 159375*p**2/4 - 3600*p = 0.
0, 1/11, 15, 960
Find t such that -2*t**3/17 + 25916*t**2/17 - 83980792*t/17 + 167857936/17 = 0.
2, 6478
Solve -o**3/4 + 4449*o**2/2 + o/4 - 4449/2 = 0 for o.
-1, 1, 8898
Solve -4*z**5 + 32*z**4 + 828*z**3 - 1800*z**2 - 2592*z = 0.
-12, -1, 0, 3, 18
Factor -3*s**3 + 11040*s**2 - 121131*s + 198126.
-3*(s - 3669)*(s - 9)*(s - 2)
Determine q, given that -q**4/5 + 1936*q**3/5 + q**2/5 - 1936*q/5 = 0.
-1, 0, 1, 1936
Factor l**2/6 + 34841*l/3 + 1213895281/6.
(l + 34841)**2/6
What is q in -2*q**4/7 + 138*q**3/7 - 1938*q**2/7 + 5062*q/7 + 1020 = 0?
-1, 5, 14, 51
Solve 4*j**4/5 - 484*j**3 - 14616*j**2/5 - 29296*j/5 - 19552/5 = 0 for j.
-2, 611
Factor -5*v**2 - 69630*v + 975800.
-5*(v - 14)*(v + 13940)
Suppose 960*m**3 + 2928*m**2 + 11403*m/5 + 2646/5 = 0. What is m?
-2, -21/40
Solve 3*w**2 - 1248*w + 76725 = 0 for w.
75, 341
Factor -3*m**2 - 14463*m + 115896.
-3*(m - 8)*(m + 4829)
Let 34*t**5 - 1950*t**4 - 8258*t**3 + 43038*t**2 - 43112*t + 10248 = 0. Calculate t.
-7, 6/17, 1, 2, 61
Factor -2*f**3 + 32*f**2 + 198*f + 252.
-2*(f - 21)*(f + 2)*(f + 3)
Solve -4*t**2 - 69200*t + 138416 = 0 for t.
-17302, 2
Solve -3*i**3/8 - 1719*i**2/8 - 30456*i + 93312 = 0 for i.
-288, 3
Determine b, given that -b**4 + 203*b**3 - 401*b**2 - 203*b + 402 = 0.
-1, 1, 2, 201
What is u in 39*u**4/2 + 693*u**3/2 + 1671*u**2/2 + 747*u/2 - 135 = 0?
-15, -2, -1, 3/13
Let -4*o**2 + 164*o + 12008 = 0. Calculate o.
-38, 79
What is a in 5*a**4/9 - 254*a**3/9 + 893*a**2/9 = 0?
0, 19/5, 47
What is r in -3*r**3 + 62790*r**2 - 188349*r + 125562 = 0?
1, 2, 20927
Find u such that -u**2/4 - 575500*u - 331200250000 = 0.
-1151000
Factor 2*i**5 - 68*i**4 - 462*i**3 - 720*i**2.
2*i**2*(i - 40)*(i + 3)**2
Factor 2*s**3 - 39932*s**2 - 2*s + 39932.
2*(s - 19966)*(s - 1)*(s + 1)
Suppose -2*j**3 + 3466*j**2 + 14130*j - 406458 = 0. Calculate j.
-13, 9, 1737
Suppose -2*j**2 + 14940*j = 0. What is j?
0, 7470
Solve 159*o**5 - 131805*o**4 + 651378*o**3 - 1023996*o**2 + 484488*o + 19776 = 0.
-2/53, 1, 2, 824
Let -2*s**4/5 + 2052*s**3/5 + 20722*s**2/5 - 2052*s/5 - 4144 = 0. Calculate s.
-10, -1, 1, 1036
Let -d**4/8 + 399*d**3/2 - 367379*d**2/4 + 19541823*d/2 - 2398746529/8 = 0. What is d?
67, 731
What is c in -c**2/7 - 2410*c/7 + 1725 = 0?
-2415, 5
Factor k**4 - 9998*k**3 + 89928*k**2 - 269730*k + 269703.
(k - 9989)*(k - 3)**3
Suppose 2*v**5/11 - 11744*v**4/11 - 70518*v**3/11 - 105804*v**2/11 = 0. Calculate v.
-3, 0, 5878
Let -3*w**5/2 + 11*w**4/4 + 183*w**3/4 - 165*w**2/4 - 233*w/4 + 105/2 = 0. What is w?
-5, -7/6, 1, 6
Factor 3*t**3/5 + 201*t**2/5 - 423*t/5 - 621/5.
3*(t - 3)*(t + 1)*(t + 69)/5
What is q in -4*q**3 - 176144*q**2 - 1938288276*q + 19400501160 = 0?
-22023, 10
What is g in g**4/11 + 52*g**3/11 - 278*g**2/11 + 36*g - 171/11 = 0?
-57, 1, 3
Find i such that 10*i**5 + 25*i**4 - 140*i**3 - 75*i**2 = 0.
-5, -1/2, 0, 3
Factor -n**4 + 706*n**3 - 111833*n**2 - 4585780*n - 12731700.
-(n - 370)**2*(n + 3)*(n + 31)
Let 25*c**5 + 910*c**4 + 9285*c**3 + 18020*c**2 + 5780*c = 0. What is c?
-17, -2, -2/5, 0
Factor -4*p**2 + 2131280*p - 283897152400.
-4*(p - 266410)**2
Factor 4*q**4/5 + 32*q**3/5 - 284*q**2/5 - 312*q/5.
4*q*(q - 6)*(q + 1)*(q + 13)/5
Find h such that 4*h**4 - 132*h**3 - 3604*h**2 - 3468*h = 0.
-17, -1, 0, 51
Let -2*u**2/19 - 2050*u/19 - 350672/19 = 0. Calculate u.
-808, -217
Suppose 2*h**2/19 - 1752*h/19 = 0. Calculate h.
0, 876
Factor y**4 + 1246*y**3 + 390613*y**2 + 1547532*y + 1542564.
(y + 2)**2*(y + 621)**2
Factor 2*u**3/7 + 1622*u**2/7 + 337600*u/7 + 3520000/7.
2*(u + 11)*(u + 400)**2/7
Determine h so that -4*h**2/7 + 2432*h/7 - 9664/7 = 0.
4, 604
Determine i so that 2*i**3/13 - 452*i**2 - 70826*i/13 + 5900 = 0.
-13, 1, 2950
Factor 3*p**2/4 + 86823*p/4 + 108510.
3*(p + 5)*(p + 28936)/4
Solve -4*q**5 - 148*q**4 - 936*q**3 + 8280*q**2 - 6804*q - 15876 = 0.
-21, -1, 3
Find m, given that 30*m**5 + 2912*m**4 + 69270*m**3 - 68796*m**2 - 38416*m = 0.
-49, -2/5, 0, 4/3
Factor 2*m**3/15 - 1904*m**2/15 - 1906*m/15.
2*m*(m - 953)*(m + 1)/15
Determine z so that 2*z**4 + 302*z**3 + 2854*z**2 + 4810*z + 2256 = 0.
-141, -8, -1
Suppose -3*l**3 + 201*l**2 + 1800*l = 0. What is l?
-8, 0, 75
Solve 4*c**2/5 - 125344*c/5 + 375996/5 = 0.
3, 31333
Solve 4*w**3/3 - 5576*w**2/3 + 632620*w + 10603200 = 0.
-16, 705
Find a such that 72*a**2 + 788*a - 44 = 0.
-11, 1/18
Suppose -4*m**2 - 33532*m - 33528 = 0. What is m?
-8382, -1
Let 3*a**3 + 183*a**2 - 6252*a + 17028 = 0. Calculate a.
-86, 3, 22
Let -2*z**5/11 - 236*z**4/11 + 1768*z**3/11 + 2124*z**2/11 - 15750*z/11 = 0. What is z?
-125, -3, 0, 3, 7
Factor 3*i**2 + 442434*i.
3*i*(i + 147478)
Suppose -5*w**3 - 340*w**2 - 5935*w - 5600 = 0. What is w?
-35, -32, -1
Find i such that 45*i**5 - 1950*i**4 + 13670*i**3 - 18580*i**2 - 17235*i - 3150 = 0.
-1/3, 3, 6, 35
Suppose h**5 + 2*h**4 - 149*h**3 + 642*h**2 - 720*h = 0. What is h?
-15, 0, 2, 3, 8
Find z such that 64*z**2/5 - 397*z/5 + 333/5 = 0.
1, 333/64
Factor -3*d**2/5 - 1038*d/5 + 8496/5.
-3*(d - 8)*(d + 354)/5
Solve -2*k**2 - 1308*k + 52592 = 0.
-692, 38
Determine r so that 3*r**4/5 - 351*r**3/5 + 996*r**2/5 + 684*r = 0.
-2, 0, 5, 114
Find l, given that 10*l**5/3 + 7534*l**4/3 + 8514*l**3 + 31522*l**2/3 + 16504*l/3 + 1000 = 0.
-750, -1, -2/5
Factor d**2/3 - 318892*d + 76269080748.
(d - 478338)**2/3
Suppose -5*t**2 + 3165*t - 9450 = 0. What is t?
3, 630
Factor -3*k**2 - 137646*k - 1578868443.
-3*(k + 22941)**2
Suppose -5*j**3 + 1865*j**2 - 48560*j + 89700 = 0. What is j?
2, 26, 345
Solve -m**2/4 - 23*m - 1387/4 = 0.
-73, -19
What is o in -35*o**5/3 + 685*o**4/3 + 5420*o**3/3 + 10940*o**2/3 + 2080*o = 0?
-24/7, -2, -1, 0, 26
Solve -6*o**2/11 + 476112*o/11 + 1904544/11 = 0 for o.
-4, 79356
Solve -2*p**3/3 - 430*p**2 + 2*p/3 + 430 = 0.
-645, -1, 1
Factor a**3/5 - 66*a**2/5 - 292*a/5 + 168.
(a - 70)*(a - 2)*(a + 6)/5
Let 2*s**3/15 - 878*s**2/15 + 1726*s/3 - 1430 = 0. Calculate s.
5, 429
Factor -m**4 + 52745*m**3 + m**2 - 52745*m.
-m*(m - 52745)*(m - 1)*(m + 1)
Factor 4*j**2 - 3543024*j + 784563691536.
4*(j - 442878)**2
Find h such that -3*h**2 + 339756*h = 0.
0, 113252
Determine n, given that 3*n**2/8 + 1942809*n/4 + 3885615/8 = 0.
-1295205, -1
Factor -2*n**3 - 2790604*n**2 - 973433835602*n.
-2*n*(n + 697651)**2
Factor 4*s**5 + 2832*s**4 + 2828*s**3.
4*s**3*(s + 1)*(s + 707)
Let -5*p**4 + 1375*p**3 + 17315*p**2 - 26875*p - 111930 = 0. What is p?
-13, -2, 3, 287
Solve p**2/6 + 3245*p/6 - 1624 = 0 for p.
-3248, 3
Factor -5*s**2 + 20105*s - 40190.
-5*(s - 4019)*(s - 2)
Factor -2594*r**2/5 - 76*r.
-2*r*(1297*r + 190)/5
Factor 4*a**3 + 1022*a**2 + 27510*a + 13500.
2*(a + 30)*(a + 225)*(2*a + 1)
Suppose -10*c**5/13 + 414*c**4/13 + 2656*c**3/13 - 808*c**2/13 - 15168*c/13 + 6016/13 = 0. Calculate c.
-4, 2/5, 2, 47
Factor -2*q**2/11 + 42*q/11 + 6392/11.
-2*(q - 68)*(q + 47)/11
Factor -2*c**3/11 + 17950*c**2/11 - 40230400*c/11 - 201601000/11.
-2*(c - 4490)**2*(c + 5)/11
Let 440*c**3 - 5716*c**2 - 21172*c - 192 = 0. What is c?
-3, -1/110, 16
Factor -14*v**2/15 + 15686*v/3.
-2*v*(7*v - 39215)/15
Find n, given that -n**3/2 + 89*n**2 = 0.
0, 178
Suppose 3*j**3/7 - 450*j**2/7 + 783*j/7 + 2220 = 0. What is j?
-5, 7, 148
Let -7*b**5 + 49674*b**4 - 460841*b**3 + 1318370*b**2 - 1332396*b + 283480 = 0. Calculate b.
2/7, 2, 5, 7087
Factor 2*n**3/15 + 36*n**2/5 + 86*n - 280/3.
2*(n - 1)*(n + 20)*(n + 35)/15
Solve 4*l**4 - 3264*l**3 - 418112*l**2 - 13310976*l - 46764032 = 0.
-56, -4, 932
Factor -3*j**2 + 2547*j - 20184.
-3*(j - 841)*(j - 8)
Solve 283*l**4/11 - 386*l**3 - 27153*l**2/11 - 22544*l/11 + 80/11 = 0 for l.
-4, -1, 1/283, 20
Solve 4205000*v**2/3 + 214600*v + 8214 = 0.
-111/1450
Factor -9*k**2 + 18282*k - 6093.
-3*(k - 2031)*(3*k - 1)
Determine n, given that n**4 + 317*n**3 - 12472*n**2 - 536