, 72
Factor p**3/4 - 11265*p**2/2 + 31719423*p + 63461378.
(p - 11266)**2*(p + 2)/4
Factor -t**4 - 5376*t**3 - 7219965*t**2 + 14461442*t.
-t*(t - 2)*(t + 2689)**2
Let a**4/4 - 36*a**3 + 1765*a**2 - 31500*a + 100000 = 0. Calculate a.
4, 40, 50
Factor 4*k**2 + 1828*k - 11112.
4*(k - 6)*(k + 463)
Factor 2*g**3/5 - 28962*g**2/5.
2*g**2*(g - 14481)/5
Factor -p**2 - 3003*p + 3004.
-(p - 1)*(p + 3004)
Let 2*o**5/5 + 438*o**4/5 - 884*o**3/5 + 4*o**2/5 + 882*o/5 - 442/5 = 0. Calculate o.
-221, -1, 1
Factor 3*v**3/2 + 693585*v**2/2 - 346794*v.
3*v*(v - 1)*(v + 231196)/2
Find x such that 4*x**5/5 - 68*x**4/5 + 152*x**3/5 + 272*x**2/5 - 672*x/5 = 0.
-2, 0, 2, 3, 14
Let -23*a**2 + 1430*a - 248 = 0. What is a?
4/23, 62
Determine h so that -16*h**2/7 - 1362*h/7 - 8892/7 = 0.
-78, -57/8
Solve -27*s**4 + 13713*s**3 - 12135*s**2 - 16761*s + 15210 = 0.
-10/9, 1, 507
What is c in 3*c**5 - 27*c**4 - 897*c**3 + 11727*c**2 - 28590*c + 17784 = 0?
-19, 1, 2, 12, 13
What is q in -4*q**5 + 328*q**4 - 6336*q**3 - 14760*q**2 + 741636*q + 2159136 = 0?
-8, -3, 21, 51
Factor p**3/3 - 2009*p**2/3 + 7999*p/3 + 14035.
(p - 2005)*(p - 7)*(p + 3)/3
Suppose -27*u**3 - 681*u**2 - 1974*u - 1320 = 0. What is u?
-22, -20/9, -1
Factor -3*j**2 - 7488*j + 7491.
-3*(j - 1)*(j + 2497)
Find u, given that -u**2 + 15341*u - 76680 = 0.
5, 15336
Factor 5*u**3 + 5430*u**2 + 64540*u + 107400.
5*(u + 2)*(u + 10)*(u + 1074)
Suppose 3*m**3 + 99507*m**2 + 825087165*m - 825186675 = 0. Calculate m.
-16585, 1
Solve -2*u**3/13 + 458*u**2/13 - 23552*u/13 + 45288/13 = 0.
2, 74, 153
Factor v**3/2 + 42951*v**2/2 + 21475*v.
v*(v + 1)*(v + 42950)/2
Determine r so that 175*r**2 + 372760*r + 21300 = 0.
-2130, -2/35
Factor 2*x**2 - 3486*x + 6964.
2*(x - 1741)*(x - 2)
Factor -172*s**2 + 176*s + 2048.
-4*(s - 4)*(43*s + 128)
Factor -u**3/4 + 3645*u**2/2 - 13286025*u/4.
-u*(u - 3645)**2/4
Factor 2*f**2/11 - 28724*f.
2*f*(f - 157982)/11
Factor 2*w**3 - 82858*w**2 + 165710*w - 82854.
2*(w - 41427)*(w - 1)**2
Suppose -2*n**4/17 - 2592*n**3/17 + 177894*n**2/17 - 2583980*n/17 - 13347600/17 = 0. What is n?
-1362, -4, 35
Let -t**2/3 + 704*t/3 + 1659 = 0. What is t?
-7, 711
Factor 2*z**3/13 - 1432*z**2/13 + 272648*z/13 - 5746368/13.
2*(z - 346)**2*(z - 24)/13
Factor -b**2/4 + 79645*b/2 + 159291/4.
-(b - 159291)*(b + 1)/4
Factor -5*l**3 + 19315*l**2 - 19300*l - 38620.
-5*(l - 3862)*(l - 2)*(l + 1)
Suppose c**3/4 + 2713*c**2/4 - 5429*c/4 + 2715/4 = 0. Calculate c.
-2715, 1
Factor -2*u**2 + 19396*u - 47025602.
-2*(u - 4849)**2
Let -2*l**2/9 - 17998*l/9 - 17992/3 = 0. What is l?
-8996, -3
Determine a so that -2*a**3 - 32970*a**2 - 135729126*a + 1224234162 = 0.
-8247, 9
Let v**3/8 - 535*v**2/8 + 67375*v/8 + 1134375/8 = 0. Calculate v.
-15, 275
Factor -2*p**2/5 + 29672*p - 550267240.
-2*(p - 37090)**2/5
Find v such that -2*v**4 - 1286*v**3 - 1272*v**2 + 7704*v = 0.
-642, -3, 0, 2
Let -84*a**4 + 2438*a**3 - 17530*a**2 + 15536*a - 360 = 0. Calculate a.
1/42, 1, 10, 18
Let -2*x**4/3 + 24*x**3 - 772*x**2/3 + 1064*x - 1470 = 0. Calculate x.
3, 5, 7, 21
Find b, given that -3*b**2/2 - 678*b + 48015/2 = 0.
-485, 33
Solve -v**2 - 1233*v = 0.
-1233, 0
Factor k**2/5 - 1987*k/5 - 180438/5.
(k - 2074)*(k + 87)/5
Solve -4*w**2 + 148*w + 165912 = 0.
-186, 223
Suppose -h**5/3 - 1711*h**4 - 6594617*h**3/3 - 6582645*h**2 - 4386150*h = 0. Calculate h.
-2565, -2, -1, 0
Solve -8*g**4/5 - 16858*g**3/5 - 8908342*g**2/5 - 28786928*g/5 - 6640224/5 = 0.
-1052, -3, -1/4
Solve -147*s**4 - 8799*s**3 - 116892*s**2 + 472560*s + 580800 = 0.
-220/7, -1, 4
Find t such that 3*t**5/4 - 75*t**4/2 + 609*t**3 - 3306*t**2 + 1440*t + 21600 = 0.
-2, 6, 20
Determine u so that 3*u**2/8 + 297*u/4 + 3267 = 0.
-132, -66
What is h in -4*h**3 + 508*h**2 - 5976*h + 5472 = 0?
1, 12, 114
Factor 5*m**4 + 10*m**3 - 375*m**2 + 500*m + 2500.
5*(m - 5)**2*(m + 2)*(m + 10)
Factor 14*i**3 + 125576*i**2 + 281577270*i - 80460900.
2*(i + 4485)**2*(7*i - 2)
Solve c**5/4 - 5*c**4/2 - 87*c**3 + 2311*c**2/2 - 8165*c/4 + 975 = 0 for c.
-20, 1, 13, 15
Solve 2*v**2/7 + 23196*v/7 + 67256802/7 = 0 for v.
-5799
Suppose -5*w**3 - 130*w**2 - 1040*w - 2400 = 0. What is w?
-12, -10, -4
Factor 4*u**2/9 + 255128*u + 36613291716.
4*(u + 287019)**2/9
Factor -7*y**2/3 - 43552*y/3 - 24880.
-(y + 6220)*(7*y + 12)/3
Factor n**3 + 183*n**2 - 12600*n + 187376.
(n - 28)**2*(n + 239)
Factor -2*c**3/9 - 8858*c**2/9 - 17698*c/3 - 8846.
-2*(c + 3)**2*(c + 4423)/9
Determine c, given that -c**2 - 34590*c - 299117025 = 0.
-17295
Factor -3*b**3/7 - 21213*b**2/7 + 767556*b/7.
-3*b*(b - 36)*(b + 7107)/7
Suppose 2*w**3/3 - 14*w**2/3 - 56*w/3 - 40/3 = 0. Calculate w.
-2, -1, 10
Determine v so that 4*v**2 + 400*v - 384384 = 0.
-364, 264
Factor g**4/2 + 1967*g**3/2 + 17595*g**2 + 105354*g + 210492.
(g + 6)**3*(g + 1949)/2
Factor -2*v**2 + 1078*v + 5440.
-2*(v - 544)*(v + 5)
Let 2*m**2 + 3694*m - 7396 = 0. What is m?
-1849, 2
Suppose -4*v**3/9 - 96320*v**2/9 = 0. Calculate v.
-24080, 0
Factor 14*w**2/17 - 1256*w/17 - 360/17.
2*(w - 90)*(7*w + 2)/17
Solve 3*n**5 - 5070*n**4 - 170580*n**3 + 5070*n**2 + 170577*n = 0 for n.
-33, -1, 0, 1, 1723
Factor -7594*x**2 - 68330*x + 144.
-2*(x + 9)*(3797*x - 8)
Factor -l**3/6 + 461*l**2/2 - 210757*l/2 + 95384393/6.
-(l - 503)**2*(l - 377)/6
Solve -48*z**5/7 - 3996*z**4/7 + 15426*z**3/7 - 20238*z**2/7 + 10422*z/7 - 1566/7 = 0.
-87, 1/4, 1, 3/2
Factor 2*w**3/17 + 8664*w**2/17 + 344160*w/17 + 3433600/17.
2*(w + 20)**2*(w + 4292)/17
Determine m so that -5*m**3 - 2520580*m**2 + 10082380*m - 10082400 = 0.
-504120, 2
Factor 2*p**2 - 7308564*p + 6676888467762.
2*(p - 1827141)**2
Suppose -2*c**3 + 11992*c**2 = 0. Calculate c.
0, 5996
Let 2*z**5 - 608*z**4 + 46812*z**3 - 91808*z**2 + 45602*z = 0. Calculate z.
0, 1, 151
Factor -4*s**5 + 12*s**3 + 8*s**2.
-4*s**2*(s - 2)*(s + 1)**2
What is v in -v**4/3 - 19*v**3 + 2524*v**2/3 + 860*v = 0?
-86, -1, 0, 30
Suppose -j**2/2 + 3863*j - 14922769/2 = 0. Calculate j.
3863
Factor -4*l**3 + 53688*l**2 - 180150084*l.
-4*l*(l - 6711)**2
Solve 31*o**2/2 + 934*o/5 + 48/5 = 0 for o.
-12, -8/155
Find s such that -s**2 + 561*s + 2260 = 0.
-4, 565
Let -3*g**5/8 - 495*g**4/8 + 1515*g**3/8 + 495*g**2/8 - 189*g = 0. What is g?
-168, -1, 0, 1, 3
Factor 5*x**3 - 18160*x**2 - 5*x + 18160.
5*(x - 3632)*(x - 1)*(x + 1)
Find r, given that 4*r**3/7 + 8040*r**2/7 + 40076*r/7 - 48120/7 = 0.
-2005, -6, 1
Factor -3*n**4/5 - 3378*n**3/5 + 13548*n**2/5 - 2712*n.
-3*n*(n - 2)**2*(n + 1130)/5
Factor 2*z**4/11 - 124328*z**3/11 + 1491744*z**2/11 - 5966720*z/11 + 7955456/11.
2*(z - 62152)*(z - 4)**3/11
Factor -5*y**2 - 1630770*y - 132970539645.
-5*(y + 163077)**2
Find o, given that -2*o**2/9 + 275456*o/9 - 30606 = 0.
1, 137727
Determine h so that 17*h**4/6 - 4902*h**3 - 86738*h**2/3 - 35880*h + 13888/3 = 0.
-4, -2, 2/17, 1736
Solve 2*x**5/3 + 1184*x**4/3 + 11816*x**3 + 376420*x**2/3 + 1570822*x/3 + 633556 = 0.
-561, -11, -7, -2
Factor 5*z**4 - 215*z**3 - 1425*z**2 - 2185*z - 980.
5*(z - 49)*(z + 1)**2*(z + 4)
Factor 3*r**3 - 8173*r**2 + 32680*r/3 - 10892/3.
(r - 2723)*(3*r - 2)**2/3
Suppose -2*v**4 - 1234*v**3 + 6214*v**2 - 3750*v - 11196 = 0. Calculate v.
-622, -1, 3
Factor 2*u**2/17 - 5560*u/17 + 5558/17.
2*(u - 2779)*(u - 1)/17
Factor -5*m**5 + 345*m**4 - 7560*m**3 + 43200*m**2 + 207360*m.
-5*m*(m - 24)**3*(m + 3)
Suppose -4*x**5/7 - 1244*x**4/7 + 1272*x**3 = 0. Calculate x.
-318, 0, 7
Determine h so that -5*h**3/3 + 180575*h**2/3 - 361135*h/3 + 180565/3 = 0.
1, 36113
What is v in -5*v**4 - 30365*v**3 - 1449840*v**2 - 23156480*v - 123392000 = 0?
-6025, -16
Solve -3*l**2/8 + 435*l/4 + 441 = 0.
-4, 294
Suppose -4*j**5 - 1509276*j**4 - 142370382392*j**3 - 142367363848*j**2 + 142370382396*j + 142368873124 = 0. What is j?
-188659, -1, 1
Let 14*r**5 - 262*r**4 - 3292*r**3 - 9616*r**2 - 3904*r + 8960 = 0. Calculate r.
-4, -2, 5/7, 28
Determine k so that -5*k**5/6 - 76*k**4/3 + 70*k**3 - 149*k**2/3 - 31*k/6 + 11 = 0.
-33, -2/5, 1
Factor -x**3/3 + 807*x**2 - 3224*x + 9668/3.
-(x - 2417)*(x - 2)**2/3
Find k, given that 5*k**3 - 6505*k**2 - 52300*k - 78540 = 0.
-6, -2, 1309
Factor -3*f**3/8 - 9*f**2/8 + 1350*f - 2697/2.
-3*(f - 58)*(f - 1)*(f + 62)/8
Factor -2*w**3/9 - 68*w**2/9 + 250*w/9 + 700.
-2*(w - 10)*(w + 9)*(w + 35)/9
Factor -105*f**3 + 28023*f**2 - 16776*f.
-3*f*(5*f - 3)*(7*f - 1864)
Fac