
2*(z - 228)*(17*z + 20)/11
Solve 70*n**4 - 358*n**3 + 600*n**2 - 344*n + 32 = 0 for n.
4/35, 1, 2
Find v such that v**2/3 + 1666*v - 4999/3 = 0.
-4999, 1
Let 2*i**5 - 65*i**4/2 + 164*i**3 - 327*i**2 + 234*i - 81/2 = 0. What is i?
1/4, 1, 3, 9
Factor m**3/3 - 239*m**2/3 + 5705*m - 106575.
(m - 105)**2*(m - 29)/3
Find h, given that -8*h**5/15 + 962*h**4/15 - 1024*h**3/5 + 3524*h**2/15 - 328*h/3 + 78/5 = 0.
1/4, 1, 117
Factor 3*i**2/2 - 192*i - 387/2.
3*(i - 129)*(i + 1)/2
Factor 5*x**2 + 58*x - 1675.
(x + 25)*(5*x - 67)
Suppose -2*r**2 + 5476*r + 5478 = 0. What is r?
-1, 2739
Solve 84*p**4 - 10592*p**3 + 334404*p**2 - 31752*p = 0.
0, 2/21, 63
Factor 4*r**4 - 203360*r**3 + 2585112288*r**2 - 10338008960*r + 10337195584.
4*(r - 25418)**2*(r - 2)**2
Factor -6*i**2 + 3166*i - 2108.
-2*(i - 527)*(3*i - 2)
Factor 2*b**3 - 1278*b**2 - 14324*b + 15600.
2*(b - 650)*(b - 1)*(b + 12)
Solve -5*h**5 + 7660*h**4 + 7715*h**3 - 76690*h**2 + 61320*h = 0.
-4, 0, 1, 2, 1533
Suppose -11*k**3/2 + 4*k**2 + 1570*k - 10600 = 0. What is k?
-212/11, 10
Factor -3*c**3 + 2490*c**2 + 430464*c + 17016096.
-3*(c - 982)*(c + 76)**2
Determine i, given that 82308*i**4/5 - 3616137*i**3/5 - 229482*i**2 - 120972*i/5 - 4248/5 = 0.
-2/19, 177/4
Let -2*k**4/5 - 5892*k**3/5 + 5894*k**2/5 = 0. Calculate k.
-2947, 0, 1
Determine w, given that -2*w**2 - 94*w + 11856 = 0.
-104, 57
Solve -3*c**4/5 + 1683*c**3/5 - 30105*c**2 - 152211*c/5 = 0.
-1, 0, 113, 449
Solve -y**5 - 93*y**4 - 2558*y**3 - 16454*y**2 + 40959*y - 21853 = 0.
-41, -13, 1
Find r, given that 5*r**5 - 2730*r**4 + 16240*r**3 - 21600*r**2 = 0.
0, 2, 4, 540
Factor -v**4/3 - 3316*v**3/3 - 2602678*v**2/3 + 80847396*v - 1783299483.
-(v - 43)**2*(v + 1701)**2/3
Find q, given that 2*q**3/7 + 188*q**2/7 + 3424*q/7 - 1088 = 0.
-68, -28, 2
Factor -m**2 + 38799*m/5 + 1552.
-(m - 7760)*(5*m + 1)/5
Determine w so that 3*w**3/7 + 370278*w**2/7 + 1632264768*w + 3264317952 = 0.
-61712, -2
Factor 4*x**5 + 56*x**4 - 156*x**3 - 2464*x**2 + 7744*x.
4*x*(x - 4)**2*(x + 11)**2
Solve d**5/2 - 149*d**4 + 280*d**3 + 4784*d**2 - 14208*d = 0 for d.
-6, 0, 4, 296
Suppose -5*c**4 - 235*c**3 - 3410*c**2 - 10560*c + 69120 = 0. Calculate c.
-18, -16, 3
Factor -2*i**3/17 + 22000*i**2/17 - 87976*i/17 + 87968/17.
-2*(i - 10996)*(i - 2)**2/17
Find b, given that -5*b**4 + 24845*b**3 - 30851275*b**2 - 30876125*b = 0.
-1, 0, 2485
Factor 2*h**2/9 + 322240*h/3 + 12979827200.
2*(h + 241680)**2/9
Determine a, given that -4*a**2 + 65992*a = 0.
0, 16498
Suppose -4*o**3 - 3536*o**2 + 10644*o = 0. What is o?
-887, 0, 3
Find r such that -5*r**2 + 2795*r - 51300 = 0.
19, 540
Determine w, given that -3*w**4 + 3228*w**3 - 896706*w**2 + 15165372*w - 14271891 = 0.
1, 17, 529
Factor -5*u**3 + 40*u**2 + 1805*u - 14440.
-5*(u - 19)*(u - 8)*(u + 19)
Suppose -2*k**2/11 - 380*k/11 - 4272/11 = 0. Calculate k.
-178, -12
Factor d**4/5 - 19*d**3 + 924*d**2/5.
d**2*(d - 84)*(d - 11)/5
Let 5*x**5 + 2195*x**4 + 328130*x**3 + 17664790*x**2 + 142836265*x - 160831385 = 0. Calculate x.
-143, -11, 1
Solve -3*r**2 + 210*r - 3663 = 0 for r.
33, 37
Determine f, given that 2*f**3 - 6634*f**2 - 19916*f - 13280 = 0.
-2, -1, 3320
Factor x**2 + 12383*x - 24770.
(x - 2)*(x + 12385)
Factor -3*k**3 + 31389*k**2 + 125592*k + 125604.
-3*(k - 10467)*(k + 2)**2
Determine g so that 2*g**5/5 - 6*g**4/5 - 74*g**3 - 714*g**2/5 - 352*g/5 = 0.
-11, -1, 0, 16
Suppose -i**2/5 - 304466*i/5 - 23174886289/5 = 0. Calculate i.
-152233
Suppose 68*h**3 - 1504*h**2 + 5956*h - 680 = 0. What is h?
2/17, 5, 17
Factor p**5/7 - 10*p**4 - 431*p**3/7 + 124308*p**2/7 - 2608848*p/7 + 10031040/7.
(p - 36)**3*(p - 5)*(p + 43)/7
Find j, given that 3*j**4 + 858*j**3 + 50676*j**2 - 1609608*j - 3415104 = 0.
-154, -2, 24
Factor -2*w**4/7 - 24300*w**3/7 - 73762634*w**2/7 + 295342200*w/7 - 295439432/7.
-2*(w - 2)**2*(w + 6077)**2/7
Factor -3*x**2 - 2307*x + 40086.
-3*(x - 17)*(x + 786)
Let -3*g**5 + 663*g**4 - 26328*g**3 - 1170192*g**2 - 5380608*g + 59043840 = 0. What is g?
-16, 5, 124
Factor -3*k**2 + 87324*k - 87321.
-3*(k - 29107)*(k - 1)
Factor -o**2/9 + 134*o/9 - 1235/3.
-(o - 95)*(o - 39)/9
Suppose -439573156*b**2 - 83864*b - 4 = 0. What is b?
-1/10483
Let 10*i**3 - 446*i**2 + 1080*i + 504 = 0. Calculate i.
-2/5, 3, 42
Factor 3*x**4 + 639*x**3 - 34230*x**2 + 154800*x.
3*x*(x - 40)*(x - 5)*(x + 258)
Determine r, given that 3*r**3/4 + 15411*r**2/4 = 0.
-5137, 0
Factor 2*s**3 - 9910*s**2 + 334558*s + 344470.
2*(s - 4921)*(s - 35)*(s + 1)
Solve -4*a**2 + 285012*a + 3135616 = 0.
-11, 71264
Solve x**4/3 + 85*x**3/3 - 1571*x**2/3 + 1569*x + 5454 = 0.
-101, -2, 9
Let -5*u**3/3 - 45415*u**2/3 - 90815*u/3 - 15135 = 0. What is u?
-9081, -1
Let -14*q**4/5 - 141*q**3/5 - 136*q**2/5 - 9*q/5 = 0. What is q?
-9, -1, -1/14, 0
Suppose -31*m**3/4 - 11267*m**2/2 - 20325*m/4 + 1089/2 = 0. Calculate m.
-726, -1, 3/31
Suppose -3*b**3 - 5805*b**2 + 29100*b = 0. Calculate b.
-1940, 0, 5
Let g**2/5 - 13549*g/5 = 0. Calculate g.
0, 13549
Factor 5*t**3 - 198795*t**2 + 1976071995*t - 1975873205.
5*(t - 19879)**2*(t - 1)
Factor 2*a**3/3 - 11360*a**2 + 48529632*a - 1158177024.
2*(a - 8508)**2*(a - 24)/3
Solve q**3/9 + 46*q**2/9 + 151*q/3 - 200 = 0.
-25, -24, 3
Let 13*w**4/3 - 68*w**3 + 295*w**2 - 878*w/3 - 120 = 0. What is w?
-4/13, 2, 5, 9
Determine t so that 15*t**2 + 8680*t - 2895 = 0.
-579, 1/3
Factor -2*j**3/3 - 202*j**2/3 - 5128*j/3 - 4928/3.
-2*(j + 1)*(j + 44)*(j + 56)/3
Factor -12725*v**2 + 25490*v - 80.
-5*(v - 2)*(2545*v - 8)
Let -12*i**3 + 111536*i**2 + 148732*i + 37184 = 0. What is i?
-1, -1/3, 9296
Let a**5 + 128*a**4 - 791*a**3 + 1730*a**2 - 1604*a + 536 = 0. What is a?
-134, 1, 2
Suppose 2*z**2 - 1238*z - 4984 = 0. Calculate z.
-4, 623
Factor -2*f**3 + 12558*f**2 + 264560*f + 252000.
-2*(f - 6300)*(f + 1)*(f + 20)
Let -3*m**2 - 2610*m - 58443 = 0. Calculate m.
-847, -23
Determine v, given that 6*v**5 - 1317*v**4/2 + 14523*v**3 + 4332*v**2 - 14529*v - 7347/2 = 0.
-1, -1/4, 1, 31, 79
Determine c so that -3*c**2 + 1722*c - 119799 = 0.
81, 493
Factor -l**3/4 - 295*l**2/4 - 439*l/2 - 146.
-(l + 1)*(l + 2)*(l + 292)/4
Factor -2*i**3/13 + 32352*i**2/13 - 131444010*i/13 + 4948265836/13.
-2*(i - 8069)**2*(i - 38)/13
Solve -338*x**3/5 + 586274*x**2 + 901984*x/5 + 69384/5 = 0.
-2/13, 8673
Determine p, given that -p**4 - 87*p**3 - 1907*p**2 - 2037*p + 186984 = 0.
-53, -21, 8
Determine v so that -45*v**3 + 90335*v**2 - 40140*v = 0.
0, 4/9, 2007
Find q such that -335*q**5 - 2670*q**4 + 312635*q**3 - 913830*q**2 + 27000*q = 0.
-36, 0, 2/67, 3, 25
Let 15*x**3 + 27055*x**2 + 12195040*x - 4068020 = 0. What is x?
-902, 1/3
Factor 3*n**3 - 519*n**2 + 11433*n + 1050291.
3*(n - 103)**2*(n + 33)
Determine c so that 2*c**3/3 - 178*c**2 - 13388*c/3 + 4640 = 0.
-24, 1, 290
Find q such that 660*q**5 + 964*q**4 - 3492*q**3 - 36*q**2 + 3392*q - 1488 = 0.
-3, -62/55, 2/3, 1
Factor k**3/4 - 107*k**2/4 - 207*k + 855.
(k - 114)*(k - 3)*(k + 10)/4
Factor 2*m**4/7 - 2438*m**3/7 + 106314*m**2 - 105966*m.
2*m*(m - 609)**2*(m - 1)/7
Let -4*t**2 - 233902*t - 116950 = 0. Calculate t.
-58475, -1/2
Find s such that -4*s**3/3 - 16*s**2/3 + 16*s/3 + 64/3 = 0.
-4, -2, 2
Factor -11*r**2/4 + 37969*r/4 + 2589.
-(r - 3452)*(11*r + 3)/4
Determine q so that -2*q**2/9 - 1768*q/9 - 1762/3 = 0.
-881, -3
Find r such that -4*r**3 - 818200*r**2 - 1636388*r - 818192 = 0.
-204548, -1
Find x such that -4*x**2/5 - 9616*x/5 - 219264 = 0.
-2284, -120
Solve l**5/3 + 686*l**4/3 + 61372*l**3/3 - 62746*l**2/3 - 61373*l/3 + 62060/3 = 0.
-580, -107, -1, 1
Factor -5*t**2 - 161230*t + 322480.
-5*(t - 2)*(t + 32248)
Factor -2*l**3/7 - 107832*l**2/7 - 207653622*l - 415245628.
-2*(l + 2)*(l + 26957)**2/7
Determine r, given that 4*r**4/5 + 194*r**3/5 + 2564*r**2/5 + 5434*r/5 + 420 = 0.
-25, -21, -2, -1/2
Solve k**3/11 + 13*k**2/11 - 144/11 = 0 for k.
-12, -4, 3
Solve -t**5 + 5*t**4 + 1314*t**3 - 22484*t**2 + 39688*t = 0.
-41, 0, 2, 22
Factor -4*k**3 - 6288*k**2 - 25104*k - 25088.
-4*(k + 2)**2*(k + 1568)
Let -2*h**2/3 + 136*h/3 - 1664/3 = 0. Calculate h.
16, 52
Factor 2*r**2/7 + 4694*r/7 + 13956.
2*(r + 21)*(r + 2326)/7
Factor -3*a**3 - 2043*a**2 - 346797*a + 348843.
-3*(a - 1)*(a + 341)**2
What is d in -33*d**5 - 336*d**4 - 621*d**3 - 366*d**2 - 48*d = 0?
-8, -1, -2/11, 0
Solve o**5 - 256*o**4 + 252*o**3 + 766*o**2 - 253*