9 + 960/19 = 0.
-4, -3, 10
Factor 4*p**2 - 480*p - 484.
4*(p - 121)*(p + 1)
Factor m**5/2 + 250*m**4 - 1005*m**3 + 1510*m**2 - 2015*m/2 + 252.
(m - 1)**4*(m + 504)/2
Solve -4*q**5 + 108*q**4 - 552*q**3 - 2344*q**2 - 2580*q - 900 = 0 for q.
-1, 15
Let -335*x**3/3 - 1226*x**2/3 + 464*x/3 + 32/3 = 0. What is x?
-4, -4/67, 2/5
Factor -3*y**3 + 222*y**2 + 924*y + 936.
-3*(y - 78)*(y + 2)**2
Solve 3*s**5 - 11*s**4 + 5*s**3 + 15*s**2 - 8*s - 4 = 0.
-1, -1/3, 1, 2
Factor -2*d**2 + 748*d + 2262.
-2*(d - 377)*(d + 3)
Determine o so that -4*o**2/7 - 60*o/7 + 64/7 = 0.
-16, 1
Determine r so that -3*r**4 + 12*r**3 + 354*r**2 - 12*r - 351 = 0.
-9, -1, 1, 13
Let 6*f**3/5 - 632*f**2/5 + 42*f = 0. Calculate f.
0, 1/3, 105
Factor -3*n**3 - 114*n**2 + 237*n - 120.
-3*(n - 1)**2*(n + 40)
Factor u**3/2 - 304*u**2 + 607*u/2.
u*(u - 607)*(u - 1)/2
Factor -118*x**4/17 + 350*x**3/17 - 342*x**2/17 + 106*x/17 + 4/17.
-2*(x - 1)**3*(59*x + 2)/17
Factor -v**3 + 35*v**2 + v - 35.
-(v - 35)*(v - 1)*(v + 1)
Factor -c**2/6 + 59*c/3 + 640/3.
-(c - 128)*(c + 10)/6
Factor 14*d**2 + 1490*d - 856.
2*(d + 107)*(7*d - 4)
Factor 102*v**2/7 - 310*v/7 + 12/7.
2*(v - 3)*(51*v - 2)/7
Determine t so that -2*t**5/5 + 2*t**4/5 + 26*t**3/5 - 10*t**2 + 24*t/5 = 0.
-4, 0, 1, 3
Factor 3*v**4/4 - 141*v**3/4 + 420*v**2 - 1488*v.
3*v*(v - 31)*(v - 8)**2/4
Solve 3*o**2/2 + 69*o/4 - 9 = 0.
-12, 1/2
Suppose -52*u**4/3 + 320*u**3/3 + 3280*u**2/3 + 4480*u/3 - 256 = 0. What is u?
-4, -2, 2/13, 12
Factor -8*c**3 + 86*c**2 + 118*c + 24.
-2*(c - 12)*(c + 1)*(4*c + 1)
Suppose f**4/3 - 8*f**3/3 + 19*f**2/3 - 4*f = 0. Calculate f.
0, 1, 3, 4
Determine z, given that -2*z**3/5 - 404*z**2/5 - 20402*z/5 = 0.
-101, 0
What is p in -3*p**4 + 15*p**3 + 171*p**2 + 285*p + 132 = 0?
-4, -1, 11
Factor -12*v**2 + 3*v + 15.
-3*(v + 1)*(4*v - 5)
Let -10*s**4 + 26*s**3 + 192*s**2 - 328*s - 160 = 0. What is s?
-4, -2/5, 2, 5
Factor 3*k**5/5 - 18*k**3/5 + 24*k**2/5 - 9*k/5.
3*k*(k - 1)**3*(k + 3)/5
Let r**2 - 18*r - 115 = 0. What is r?
-5, 23
Suppose -2*h**5/5 + 44*h**4/5 - 24*h**3 - 496*h**2/5 + 1024*h/5 + 2304/5 = 0. Calculate h.
-2, 4, 18
Factor 10*v**3/3 - v**2/3 - 10*v/3 + 1/3.
(v - 1)*(v + 1)*(10*v - 1)/3
Factor 2*n**3 - 48*n**2 + 330*n - 700.
2*(n - 14)*(n - 5)**2
Determine i, given that -2*i**2/7 - 40*i/7 - 72/7 = 0.
-18, -2
Solve m**4/5 + 2*m**3 - 16*m**2/5 - 58*m/5 - 33/5 = 0.
-11, -1, 3
Let -2*k**5/13 + 2*k**4/13 + 6*k**3/13 - 2*k**2/13 - 4*k/13 = 0. Calculate k.
-1, 0, 1, 2
Solve p**4/6 - 25*p**3/6 - 53*p**2/6 - 9*p/2 = 0 for p.
-1, 0, 27
Solve -l**2/6 - 343*l/3 - 117649/6 = 0 for l.
-343
Let 10*g**4 - 35*g**3 - 60*g**2 + 315*g - 270 = 0. What is g?
-3, 3/2, 2, 3
Factor -4*m**3 - 12*m**2 + 4*m + 12.
-4*(m - 1)*(m + 1)*(m + 3)
Find o such that -6*o**5 - 4*o**4/3 + 30*o**3 + 20*o**2/3 - 24*o - 16/3 = 0.
-2, -1, -2/9, 1, 2
Factor x**4/5 - 14*x**3 + 136*x**2/5.
x**2*(x - 68)*(x - 2)/5
Determine v so that 42*v**4/13 + 26*v**3 + 226*v**2/13 - 2090*v/13 - 100/13 = 0.
-5, -1/21, 2
Factor -2*m**4 - 162*m**3 - 1350*m**2 - 3942*m - 3888.
-2*(m + 3)**3*(m + 72)
Find x such that 2*x**2/5 - 1724*x/5 + 371522/5 = 0.
431
Find c such that 243*c**5/4 - 945*c**4/4 + 1197*c**3/4 - 627*c**2/4 + 36*c - 3 = 0.
2/9, 1/3, 1, 2
Factor 30*o**3 - 1745*o**2 - 3580*o - 1805.
5*(o + 1)**2*(6*o - 361)
Factor p**4 + 5*p**3 + 7*p**2 + 3*p.
p*(p + 1)**2*(p + 3)
Let 5*m**5 - 25*m**4 - 345*m**3 - 855*m**2 - 540*m = 0. Calculate m.
-3, -1, 0, 12
Factor -d**2 - 499*d - 994.
-(d + 2)*(d + 497)
Determine r so that -4*r**3 - 60*r**2 - 252*r - 196 = 0.
-7, -1
Factor -y**2 - 2352*y - 1382976.
-(y + 1176)**2
Let 98*m**5/3 + 1232*m**4/3 + 2738*m**3/3 - 8332*m**2/3 - 5320*m/3 - 784/3 = 0. What is m?
-7, -2/7, 2
Suppose -2*v**5/9 + 682*v**4/9 - 57110*v**3/9 - 175442*v**2/9 - 176816*v/9 - 59168/9 = 0. What is v?
-1, 172
Factor -10*i**2/7 + 1082*i/7 + 444.
-2*(i - 111)*(5*i + 14)/7
Factor -5*v**4 + 110*v**3 - 760*v**2 + 1330*v + 2205.
-5*(v - 9)*(v - 7)**2*(v + 1)
Factor 3*s**4/7 - 309*s**3/7 + 9657*s**2/7 - 53391*s/7 - 1215672/7.
3*(s - 37)**3*(s + 8)/7
Solve -2*g**3 - 196*g**2 - 4802*g = 0.
-49, 0
Factor -6*w**2/11 + 228*w/11 - 1440/11.
-6*(w - 30)*(w - 8)/11
Determine d, given that 4*d**4 + 12*d**3 - 120*d**2 - 512*d - 384 = 0.
-4, -1, 6
Determine r so that -5*r**4 - 15*r**3 + 45*r**2 + 115*r + 60 = 0.
-4, -1, 3
Factor -h**3/5 + 19*h**2/5 - 23*h + 45.
-(h - 9)*(h - 5)**2/5
Solve -5*w**4/4 - 25*w**3/4 + 35*w**2/2 = 0 for w.
-7, 0, 2
Factor 3*s**4 + 7*s**3 + 2*s**2.
s**2*(s + 2)*(3*s + 1)
Find x such that -5*x**3 + 155*x**2 + 1420*x - 3420 = 0.
-9, 2, 38
Find v such that 125*v**5 + 34175*v**4 + 2325590*v**3 - 1403566*v**2 + 281261*v - 18769 = 0.
-137, 1/5
Find a such that -338*a**3/7 - 9386*a**2/7 - 69600*a/7 - 60552/7 = 0.
-174/13, -1
Factor -4*u**5/5 + 11*u**4 - 182*u**3/5 - 49*u**2/5.
-u**2*(u - 7)**2*(4*u + 1)/5
Factor -54*z**4 - 1032*z**3 + 2848*z**2/3 - 640*z/3.
-2*z*(z + 20)*(9*z - 4)**2/3
Solve 4*w**4 + 48*w**3 - 168*w**2 + 176*w - 60 = 0 for w.
-15, 1
Factor 5*z**4 - 10*z**3 + 5*z**2.
5*z**2*(z - 1)**2
Suppose 2*y**4/7 - 20*y**3/7 + 58*y**2/7 - 64*y/7 + 24/7 = 0. Calculate y.
1, 2, 6
Solve 3*r**2/8 + 81*r/8 - 93/2 = 0 for r.
-31, 4
Find c such that -3*c**2/7 + 15*c/7 - 18/7 = 0.
2, 3
Factor 5*c**3 + 980*c**2 + 47025*c - 98010.
5*(c - 2)*(c + 99)**2
Determine b so that b**4 - 998*b**3 - 5007*b**2 - 8020*b - 4012 = 0.
-2, -1, 1003
Factor 2*n**3 - 42*n**2 - 380*n - 336.
2*(n - 28)*(n + 1)*(n + 6)
What is h in 3*h**3 + 60*h**2 + 99*h - 162 = 0?
-18, -3, 1
Factor 3*j**2 + 2586*j + 557283.
3*(j + 431)**2
Factor w**3 + 489*w**2 - 2961*w + 4455.
(w - 3)**2*(w + 495)
Suppose -k**4 + 164*k**3 - 163*k**2 = 0. Calculate k.
0, 1, 163
Solve -25*v**4 - 1240*v**3 - 735*v**2 = 0.
-49, -3/5, 0
Factor -4*s**2/3 + 104*s/3 + 160.
-4*(s - 30)*(s + 4)/3
Factor -4*a**3 + 328*a**2 - 6724*a.
-4*a*(a - 41)**2
Factor -3*o**4/2 - 33*o**3 - 90*o**2 - 87*o - 57/2.
-3*(o + 1)**3*(o + 19)/2
Find k, given that -8*k**4/21 - 2*k**3/7 + 44*k**2/21 = 0.
-11/4, 0, 2
Determine i so that -12*i**4/13 - 50*i**3/13 - 56*i**2/13 - 8*i/13 = 0.
-2, -1/6, 0
Factor -3*m**2 - 15171*m - 15168.
-3*(m + 1)*(m + 5056)
Factor 2*b**3/5 + 22*b**2/5 + 6*b - 54/5.
2*(b - 1)*(b + 3)*(b + 9)/5
Let 2*x**4 + 1464*x**3 + 273654*x**2 + 2083672*x - 2358792 = 0. What is x?
-362, -9, 1
Let 2*k**4/7 + 384*k**3/7 + 2250*k**2/7 + 3348*k/7 = 0. Calculate k.
-186, -3, 0
Factor m**3 - 6*m**2 + 12*m - 8.
(m - 2)**3
Let -a**5/2 + 3*a**4 - 6*a**3 + 5*a**2 - 3*a/2 = 0. Calculate a.
0, 1, 3
Factor -2*s**4 - 12*s**3 - 16*s**2 + 12*s + 18.
-2*(s - 1)*(s + 1)*(s + 3)**2
Factor -4*u**2 - 24*u + 64.
-4*(u - 2)*(u + 8)
Suppose 70*x**5 + 206*x**4 + 198*x**3 + 58*x**2 - 4*x = 0. What is x?
-1, 0, 2/35
Suppose -3*i**2/4 + 3*i = 0. What is i?
0, 4
Solve b**4/2 + 30*b**3 - 793*b**2/2 - 426*b = 0 for b.
-71, -1, 0, 12
Factor -2*l**4 - 16*l**3 + 18*l**2.
-2*l**2*(l - 1)*(l + 9)
Factor 3*m**5 + 3*m**4 - 9*m**3 - 3*m**2 + 6*m.
3*m*(m - 1)**2*(m + 1)*(m + 2)
Find u, given that -4*u**2 + 1924*u + 1928 = 0.
-1, 482
Suppose 4*x**5/3 + 206*x**4/3 + 866*x**3 - 1456*x**2/3 - 1352*x/3 = 0. Calculate x.
-26, -1/2, 0, 1
Factor -11*b**4/3 - 629*b**3/3 - 38*b**2.
-b**2*(b + 57)*(11*b + 2)/3
Factor 2*p**4/3 - 32*p**3/3 + 10*p**2.
2*p**2*(p - 15)*(p - 1)/3
Factor 35*o**3/6 + 75*o**2/2 + 35*o/3 - 20.
5*(o + 1)*(o + 6)*(7*o - 4)/6
Factor -3*o**2/8 - 309*o/8 - 225/2.
-3*(o + 3)*(o + 100)/8
Solve -4*d**4 + 256*d**3 - 3240*d**2 - 28000*d - 24500 = 0 for d.
-5, -1, 35
Determine l, given that -6*l**5/7 + 26*l**4/7 - 4*l**3/7 - 16*l**2/7 = 0.
-2/3, 0, 1, 4
Find r, given that -2*r**3/15 - 52*r**2/15 - 10*r/3 = 0.
-25, -1, 0
Solve -g**3/3 - 5*g**2 + g/3 + 5 = 0.
-15, -1, 1
Factor 5*x**2/4 - 721*x/4 - 145.
(x - 145)*(5*x + 4)/4
Suppose 2*r**3 - 20*r**2 + 46*r - 28 = 0. What is r?
1, 2, 7
Suppose 845*v**5 + 13975*v**4 + 6935*v**3 - 5475*v**2 + 720*v = 0. What is v?
-16, -1, 0, 3/13
Suppose b**3/4 + 501*b**2/4 + 83667*b/4 + 4657463/4 = 0. What is b?
-167
Factor -o**3/4 + 63*o**2/4 - 74*o + 87.
-(o - 58)*(o - 3)*(o - 2)/4
Determine s so that -2*s**5/11 + 84*s**4/11 - 80*s**3 - 84*s**2/11 + 882*s/11 = 0.
-1, 0, 1, 21
Factor -n**2 - 20*n - 51.
-(n + 3)*(n + 17)
Factor -3*x**3/2 + 393*x**2/2 - 13065*x/2 + 12675/2.
-3*(x - 65)**2*(x - 1)/2
Factor 2*j**2/11 + 420*j/11.
2*j*