89/2.
-3*(a - 78)**2*(a - 3)/8
Factor 507*g**3 + 2034*g**2 + 1545*g + 18.
3*(g + 1)*(g + 3)*(169*g + 2)
Factor -3*j**2 + 9870*j - 8118075.
-3*(j - 1645)**2
Let 2*l**2/5 - 13008*l/5 + 21151008/5 = 0. What is l?
3252
Solve 9*s**3 + 30*s**2 - 69*s + 30 = 0 for s.
-5, 2/3, 1
Determine g so that -g**3/3 + 124*g**2/3 + 251*g/3 + 42 = 0.
-1, 126
Find s such that 20*s**4 + 145*s**3 + 75*s**2 - 790*s - 200 = 0.
-5, -4, -1/4, 2
What is n in -4*n**4 + 40*n**3 - 80*n**2 - 40*n + 84 = 0?
-1, 1, 3, 7
Let 3*o**3 - 6*o**2 - 15*o + 18 = 0. What is o?
-2, 1, 3
Factor 2*h**4 + 6*h**3 - 6*h**2 - 14*h + 12.
2*(h - 1)**2*(h + 2)*(h + 3)
Solve -5*a**4 + 35*a**3 - 85*a**2 + 85*a - 30 = 0.
1, 2, 3
Suppose -2*u**5/7 + 86*u**4/7 + 804*u**3/7 + 692*u**2/7 - 590*u + 2550/7 = 0. Calculate u.
-5, 1, 51
Factor 5*v**3/3 + 6125*v**2 + 7503125*v + 9191328125/3.
5*(v + 1225)**3/3
Determine a so that 2*a**3/5 + 2274*a**2/5 + 861846*a/5 + 108879878/5 = 0.
-379
Factor -l**2 - 91*l - 90.
-(l + 1)*(l + 90)
Factor -5*x**4 + 35*x**3 - 70*x**2 + 40*x.
-5*x*(x - 4)*(x - 2)*(x - 1)
Let -u**5/6 + 7*u**4/6 + 2*u**3/3 - 32*u**2/3 + 24 = 0. Calculate u.
-2, 2, 3, 6
Determine v, given that 2*v**2 + 6*v - 36 = 0.
-6, 3
Determine b so that 4*b**4 - 3244*b**3 + 656088*b**2 + 665840*b - 1318688 = 0.
-2, 1, 406
Suppose 2*o**4 + 640*o**3 + 51836*o**2 + 101760*o + 50562 = 0. Calculate o.
-159, -1
What is g in 2*g**3/5 - 46*g**2/5 - 160*g + 1768/5 = 0?
-13, 2, 34
Factor -3*r**2 + 30*r - 63.
-3*(r - 7)*(r - 3)
Solve 2*y**4 + 64*y**3 + 592*y**2 + 1664*y + 1440 = 0 for y.
-18, -10, -2
Factor 50*q**5 - 660*q**4 + 1898*q**3 + 1848*q**2 + 392*q.
2*q*(q - 7)**2*(5*q + 2)**2
Let -n**5/6 + n**4/3 + n**3/6 - n**2/3 = 0. Calculate n.
-1, 0, 1, 2
Factor -50*n**3/3 - 768*n**2 - 8878*n - 2116/3.
-2*(n + 23)**2*(25*n + 2)/3
Find p such that 2*p**5 - 56*p**4 + 540*p**3 - 1944*p**2 + 1458*p = 0.
0, 1, 9
Factor 4*j**2 + 25256*j + 39866596.
4*(j + 3157)**2
Let -2*u**4/7 + 208*u**3/7 + 212*u**2/7 - 208*u/7 - 30 = 0. Calculate u.
-1, 1, 105
Factor d**2/2 + 23*d/2 - 12.
(d - 1)*(d + 24)/2
Let -8*v**5/13 - 22*v**4/13 + 110*v**3/13 + 190*v**2/13 - 342*v/13 + 72/13 = 0. Calculate v.
-4, -3, 1/4, 1, 3
Factor -3*b**5 - 21*b**4 - 33*b**3 - 15*b**2.
-3*b**2*(b + 1)**2*(b + 5)
Factor w**2 - 124*w.
w*(w - 124)
Determine t so that 2*t**2/7 - 4*t/7 - 6/7 = 0.
-1, 3
What is f in f**3 + 24*f**2 + 144*f = 0?
-12, 0
Factor -3*d**2 - 33*d + 36.
-3*(d - 1)*(d + 12)
What is l in 2*l**2 + 838*l = 0?
-419, 0
Factor c**3/3 + 340*c**2/3 - 343*c/3 - 682/3.
(c - 2)*(c + 1)*(c + 341)/3
What is b in 2*b**5 + 2*b**4 - 2*b**3 - 2*b**2 = 0?
-1, 0, 1
Factor z**3/2 + 223*z**2/2 + 6380*z + 18150.
(z + 3)*(z + 110)**2/2
Suppose -2*g**4 - 4*g**3 + 38*g**2 + 136*g + 120 = 0. What is g?
-3, -2, 5
Find q, given that q**2/9 + 13*q/9 - 38/3 = 0.
-19, 6
Factor n**5/2 + 5*n**4 + 18*n**3 + 27*n**2 + 27*n/2.
n*(n + 1)*(n + 3)**3/2
Find h such that 2*h**2/7 + 52*h/7 + 240/7 = 0.
-20, -6
Find n such that 2*n**3/5 - 306*n**2/5 + 2310*n + 11858/5 = 0.
-1, 77
Factor 4*p**4/3 - 76*p**3 - 80*p**2 + 464*p/3.
4*p*(p - 58)*(p - 1)*(p + 2)/3
Let f**3 - 2999*f**2 + 2249999*f - 2247001 = 0. Calculate f.
1, 1499
Let 5*y**2 + 160*y + 435 = 0. Calculate y.
-29, -3
Suppose 2*l**2 + 12*l = 0. Calculate l.
-6, 0
Suppose -2*o**4 - 70*o**3 + 222*o**2 - 226*o + 76 = 0. Calculate o.
-38, 1
Factor -s**5/2 + 21*s**4 - 294*s**3 + 1372*s**2.
-s**2*(s - 14)**3/2
Factor -10*p**4 - 65*p**3 + 115*p**2 - 40*p.
-5*p*(p - 1)*(p + 8)*(2*p - 1)
Determine h so that -28*h**5 - 512*h**4 + 192*h**3 + 5696*h**2 - 6464*h - 2304 = 0.
-18, -4, -2/7, 2
Find l such that 2*l**2/3 + 60*l + 1350 = 0.
-45
Factor p**5/7 + 72*p**4/7 + 1728*p**3/7 + 13824*p**2/7.
p**2*(p + 24)**3/7
Solve l**3 - 437*l**2 - 1760*l - 1764 = 0.
-2, 441
Suppose -3*i**5 - 33*i**4 - 9*i**3 + 213*i**2 + 12*i - 180 = 0. Calculate i.
-10, -3, -1, 1, 2
Determine i, given that -5*i**3/6 + 202*i**2 + 2218*i/3 - 328 = 0.
-4, 2/5, 246
Factor 5*j**3 + 20*j**2 + 20*j.
5*j*(j + 2)**2
Let -6*v**5 - 50*v**4 - 124*v**3 - 132*v**2 - 62*v - 10 = 0. What is v?
-5, -1, -1/3
Find f such that 5*f**3 + 795*f**2 - 8325*f + 21125 = 0.
-169, 5
Factor q**4/4 - 3*q**3/2 - 6*q**2 - 13*q/2 - 9/4.
(q - 9)*(q + 1)**3/4
What is w in -4*w**4 - 108*w**3 - 548*w**2 + 2460*w - 1800 = 0?
-15, 1, 2
Find o, given that -3*o**2 - 96*o - 741 = 0.
-19, -13
Factor l**4 - 10*l**3 + 11*l**2 + 70*l.
l*(l - 7)*(l - 5)*(l + 2)
Let 1119*l**2/2 + 1117*l/2 - 1 = 0. What is l?
-1, 2/1119
Factor -3*o**4 - 3*o**3 + 18*o**2 + 12*o - 24.
-3*(o - 2)*(o - 1)*(o + 2)**2
Let -106*w**3/5 + 1374*w**2/5 + 1536*w/5 + 56/5 = 0. What is w?
-1, -2/53, 14
Let d**5 - 34*d**4 - 233*d**3 - 286*d**2 + 232*d + 320 = 0. Calculate d.
-4, -2, -1, 1, 40
Find y such that -10*y**3/7 - 78*y**2/7 - 104*y/7 + 24/7 = 0.
-6, -2, 1/5
Solve 882*j**4 + 61026*j**3 - 113644*j**2 - 23304*j - 1136 = 0.
-71, -2/21, 2
Let -4*k**5 - 8*k**4 + 32*k**3 + 72*k**2 + 36*k = 0. Calculate k.
-3, -1, 0, 3
Factor -a**2/8 - a/4 - 1/8.
-(a + 1)**2/8
Factor 4*j**4 + 84*j**3 + 292*j**2 + 348*j + 136.
4*(j + 1)**2*(j + 2)*(j + 17)
Factor -2*l**3/9 + 8174*l**2/9 - 32672*l/9 + 10888/3.
-2*(l - 4083)*(l - 2)**2/9
Factor -3*t**5 + 168*t**4 + 348*t**3 + 6*t**2 - 345*t - 174.
-3*(t - 58)*(t - 1)*(t + 1)**3
Factor -v**3 + 8*v**2 - 21*v + 18.
-(v - 3)**2*(v - 2)
Factor s**4/10 + 4*s**3/5 + 6*s**2/5.
s**2*(s + 2)*(s + 6)/10
Determine k, given that 2*k**2/11 + 6*k/11 - 20/11 = 0.
-5, 2
Let 2*y**3/3 - 22*y**2/9 + 4*y/3 = 0. Calculate y.
0, 2/3, 3
Factor 5*y**4 - 95*y**3 + 225*y**2 + 2915*y - 6050.
5*(y - 11)**2*(y - 2)*(y + 5)
Suppose 6*d**3/7 + 86*d**2/7 + 24*d/7 - 8 = 0. What is d?
-14, -1, 2/3
Factor -2254*l**2/11 - 288*l/11 - 8/11.
-2*(23*l + 2)*(49*l + 2)/11
Factor -3*o**2 + 345*o - 1332.
-3*(o - 111)*(o - 4)
Factor 25*x**3 - 5965*x**2 - 8390*x - 2400.
5*(x - 240)*(x + 1)*(5*x + 2)
What is t in t**2 + 15*t + 26 = 0?
-13, -2
Solve 2*t**5/11 - 20*t**3/11 + 40*t**2/11 - 30*t/11 + 8/11 = 0.
-4, 1
Factor 625*h**4 + 14900*h**3 + 11979*h**2 - 2204*h + 92.
(h + 1)*(h + 23)*(25*h - 2)**2
Factor 2*f**2/23 + 12*f/23 - 182/23.
2*(f - 7)*(f + 13)/23
Factor -j**4/3 + 2*j**3 - 4*j**2/3 - 2*j + 5/3.
-(j - 5)*(j - 1)**2*(j + 1)/3
Determine o so that -412*o**5 + 3304*o**4 - 8716*o**3 + 7584*o**2 - 144*o = 0.
0, 2/103, 2, 3
Let -4*w**3/11 + 30*w**2/11 - 38*w/11 + 12/11 = 0. Calculate w.
1/2, 1, 6
Factor 5*s**2 - 89540*s + 400870580.
5*(s - 8954)**2
Factor 3*i**4 - 105*i**3 + 78*i**2 + 852*i - 1224.
3*(i - 34)*(i - 2)**2*(i + 3)
Factor -j**4 + j**2.
-j**2*(j - 1)*(j + 1)
Find z, given that -5*z**3 + 110*z**2 - 605*z = 0.
0, 11
Suppose -5*u**2 + 145*u - 140 = 0. Calculate u.
1, 28
Factor -4*r**4 - 2772*r**3 - 640332*r**2 - 49305564*r.
-4*r*(r + 231)**3
Suppose -s**3/2 + 2*s**2 - 5*s/2 + 1 = 0. Calculate s.
1, 2
Determine n so that -2*n**5 + 19*n**4 - 37*n**3 - 34*n**2 + 24*n = 0.
-1, 0, 1/2, 4, 6
Let -338*c**5 + 666*c**4 + 1034*c**3 - 1322*c**2 - 1392*c - 40 = 0. What is c?
-1, -5/169, 2
Factor -2*t**2/13 + 86*t/13 + 180/13.
-2*(t - 45)*(t + 2)/13
Factor 2*s**4 - 260*s**3 - 798*s**2.
2*s**2*(s - 133)*(s + 3)
Find m such that -9*m**5/8 - 93*m**4/8 + 327*m**3/4 + 159*m**2/4 - 645*m/8 - 225/8 = 0.
-15, -1, -1/3, 1, 5
Suppose 3*k**4/7 + 141*k**3/7 + 135*k**2/7 - 141*k/7 - 138/7 = 0. What is k?
-46, -1, 1
Factor -2*h**2/7 + 472*h/7 - 470/7.
-2*(h - 235)*(h - 1)/7
Determine v, given that 10*v**4 + 195*v**3 - 70*v**2 - 1305*v + 1170 = 0.
-39/2, -3, 1, 2
Factor -j**2 - 7508*j - 14092516.
-(j + 3754)**2
Factor 4*j**2/17 - 54*j/17 + 26/17.
2*(j - 13)*(2*j - 1)/17
Solve -2*f**5 + 16*f**4 + 84*f**3 + 136*f**2 + 94*f + 24 = 0 for f.
-1, 12
Factor -2*o**2/7 - 92*o/7 - 858/7.
-2*(o + 13)*(o + 33)/7
Factor 3*c**2/2 - 21*c.
3*c*(c - 14)/2
Determine x, given that -x**2/9 + 313*x/9 + 314/9 = 0.
-1, 314
Let 2*g**2/3 - 116*g/3 + 224/3 = 0. What is g?
2, 56
Factor h**3/12 - 19*h**2/2 + 297*h - 1458.
(h - 54)**2*(h - 6)/12
Factor 2*s**3/3 - 478*s**2/3 + 1420*s/3 - 944/3.
2*(s - 236)*(s - 2)*(s - 1)/3
Find m such that 3*m**2/8 + 729*m/8 = 0.
-243, 0
Determine f so that -2*f**5/3 + 158*f**4/3 + 390*f**3 + 2890*f**2/3 + 2912*f/3 + 344 = 0.
-3, -2, -1, 86
Suppose 2*w**2/9 + 58*w/3 + 420 = 0. What is w?
-45, -42
Find y, given that 2*y**2/3 - 34*y - 212/3 = 0.
-2, 53
What is q in 10*q**5 - 5*q**4 