*r**2 - 374*r + 2520.
(r - 18)*(r - 7)*(r + 20)
Suppose 5*r**2 - 538780*r + 14514194420 = 0. Calculate r.
53878
Find y such that 3*y**2/2 - 469719*y - 939441/2 = 0.
-1, 313147
Factor 2*s**4/5 - 46*s**3/5 - 324*s**2/5 - 136*s - 464/5.
2*(s - 29)*(s + 2)**3/5
Factor 2*n**3 + 2936*n**2 + 1019562*n - 43092684.
2*(n - 38)*(n + 753)**2
Factor 6*i**3/11 + 1752*i**2/11 - 160770*i/11 - 56677716/11.
6*(i - 174)*(i + 233)**2/11
Factor -5*z**2 + 3297370*z - 3297365.
-5*(z - 659473)*(z - 1)
Factor -3*v**2/7 - 684*v/7 - 5913/7.
-3*(v + 9)*(v + 219)/7
Suppose 3*v**2 - 128253*v - 2052816 = 0. What is v?
-16, 42767
Suppose -k**4 - 788*k**3 + 21954*k**2 - 41540*k + 20375 = 0. Calculate k.
-815, 1, 25
Let -130*k**5/7 + 4*k**4/7 + 130*k**3 - 808*k**2/7 + 24*k/7 = 0. What is k?
-3, 0, 2/65, 1, 2
Factor 3*l**3 + 2589*l**2 + 510513*l - 21168105.
3*(l - 35)*(l + 449)**2
Factor -k**4/7 - 103*k**3/7 - 496*k**2/7 - 84*k.
-k*(k + 2)*(k + 3)*(k + 98)/7
Factor 5*i**4 - 980*i**3 + 43505*i**2 - 121830*i.
5*i*(i - 131)*(i - 62)*(i - 3)
Factor -q**3/4 + 39*q**2/2 + 421*q/4 - 249/2.
-(q - 83)*(q - 1)*(q + 6)/4
Suppose w**4/4 - 37*w**3/2 - 8643*w**2/4 - 43469*w - 41327 = 0. What is w?
-34, -1, 143
Factor -4*s**3 + 6176*s**2 + 425040*s.
-4*s*(s - 1610)*(s + 66)
Let r**2/2 - 12885*r + 166023225/2 = 0. What is r?
12885
Factor u**4/4 + 5*u**3 + 27*u**2/2 + 13*u + 17/4.
(u + 1)**3*(u + 17)/4
Factor -2*w**2/7 - 1126*w/7 - 2244/7.
-2*(w + 2)*(w + 561)/7
Find h, given that h**5/7 + 29*h**4/7 + 55*h**3/7 + 27*h**2/7 = 0.
-27, -1, 0
Find w, given that w**2/4 - 16554*w + 132416 = 0.
8, 66208
Factor -3*l**2/7 - 3258*l/7 + 100440/7.
-3*(l - 30)*(l + 1116)/7
Solve 3*k**2 + 993*k + 2952 = 0 for k.
-328, -3
Factor 2*f**2 - 32648*f + 133236488.
2*(f - 8162)**2
Factor -m**2/7 - 22290*m/7 + 89176/7.
-(m - 4)*(m + 22294)/7
Factor 3*j**2/7 - 903090*j/7 + 67964295675/7.
3*(j - 150515)**2/7
Factor v**2/4 + 362*v + 1447/4.
(v + 1)*(v + 1447)/4
Determine a, given that a**2 + 382*a + 1512 = 0.
-378, -4
Let -8*v**3 - 1362*v**2 - 16668*v - 4082 = 0. What is v?
-157, -13, -1/4
Determine b so that 3*b**2 - 263043*b - 1315290 = 0.
-5, 87686
Determine r so that 16*r**4 + 1548*r**3 + 38444*r**2 + 93252*r - 25740 = 0.
-55, -39, -3, 1/4
Factor 5*h**4 + 3645*h**3 + 885735*h**2 + 71744535*h.
5*h*(h + 243)**3
Find n, given that 7*n**4/2 + 29*n**3 + 64*n**2 + 16*n = 0.
-4, -2/7, 0
Suppose -4*w**3 - 4276*w**2 - 34000*w - 50928 = 0. What is w?
-1061, -6, -2
Let -4*p**4 - 616*p**3 - 608*p**2 + 616*p + 612 = 0. Calculate p.
-153, -1, 1
Factor 990*t**2 - 156*t + 16/5.
2*(15*t - 2)*(165*t - 4)/5
Find o, given that -o**5 + 66*o**4 + 1101*o**3 + 1730*o**2 - 16800*o = 0.
-10, -7, 0, 3, 80
Factor n**2 + 7989*n - 112042.
(n - 14)*(n + 8003)
Let v**3 - 2960*v**2 - 17796*v = 0. Calculate v.
-6, 0, 2966
Factor -5*l**3 + 38625*l**2 - 924840*l + 5544720.
-5*(l - 7701)*(l - 12)**2
Find a such that 4*a**2/3 + 112*a + 324 = 0.
-81, -3
Factor -j**4/2 + 94*j**3 + 591*j**2/2 - 1719*j.
-j*(j - 191)*(j - 3)*(j + 6)/2
Solve -12*c**5 + 13268*c**4 - 166484*c**3 + 380652*c**2 - 314864*c + 87440 = 0.
2/3, 1, 10, 1093
Suppose -2*y**2/13 - 32284*y/13 + 96870/13 = 0. Calculate y.
-16145, 3
Determine j so that -4*j**4 + 3968*j**3 = 0.
0, 992
Factor -5*m**3/6 + 290*m**2/3 + 1175*m/6 + 295/3.
-5*(m - 118)*(m + 1)**2/6
Determine h so that -4*h**2 - 264848*h - 4384028944 = 0.
-33106
Determine s, given that -57*s**5 - 6549*s**4 - 15384*s**3 + 346428*s**2 - 36288*s = 0.
-112, -9, 0, 2/19, 6
What is i in -32*i**2 - 148*i - 156 = 0?
-3, -13/8
Find a such that 2*a**2 - 454*a + 16920 = 0.
47, 180
Find p such that -2*p**3 - 86774*p**2 - 173542*p - 86770 = 0.
-43385, -1
Factor 2*m**3/13 - 513186*m**2/13 + 2532286710*m + 2532326186.
2*(m - 128297)**2*(m + 1)/13
Find g such that -g**3/6 + 23377*g**2/6 - 3896*g = 0.
0, 1, 23376
Factor -4*b**2 + 18109*b - 4527.
-(b - 4527)*(4*b - 1)
Factor 4*x**4 - 444*x**3 + 3744*x**2 - 7344*x.
4*x*(x - 102)*(x - 6)*(x - 3)
Let s**5/2 - 309*s**4/2 + 3521*s**3/2 + 12741*s**2/2 + 4455*s = 0. Calculate s.
-2, -1, 0, 15, 297
Factor 3*r**4 - 456*r**3 + 2655*r**2 - 3954*r + 1752.
3*(r - 146)*(r - 4)*(r - 1)**2
Find m, given that -m**4 - 1805*m**3 - 654483*m**2 + 150784605*m - 150128316 = 0.
-981, 1, 156
What is o in -2*o**5/7 - 12*o**4 + 758*o**3/7 - 2064*o**2/7 + 1800*o/7 = 0?
-50, 0, 2, 3
Factor -4*i**2 - 1392*i + 4212.
-4*(i - 3)*(i + 351)
Suppose 5*x**2/4 + 52465*x/4 + 157215 = 0. Calculate x.
-10481, -12
Factor b**3/3 - 56*b**2 + 2351*b/3 - 2856.
(b - 153)*(b - 8)*(b - 7)/3
Find x such that -81*x**2/4 + 25182*x - 7828804 = 0.
5596/9
Let -5*v**4/6 + 25*v**3/3 + 305*v**2/6 - 655*v/3 - 260 = 0. What is v?
-6, -1, 4, 13
Determine n, given that -10*n**3/19 + 124*n**2/19 + 594*n/19 - 3060/19 = 0.
-6, 17/5, 15
Suppose -321*z**3 - 6417*z**2/4 - 7689*z/4 + 9/2 = 0. What is z?
-3, -2, 1/428
Factor -273*o**2 + 501*o - 228.
-3*(o - 1)*(91*o - 76)
Let 2*g**5/13 - 8272*g**4/13 - 16552*g**3/13 - 4*g**2/13 + 16550*g/13 + 8276/13 = 0. What is g?
-1, 1, 4138
Determine q so that -7215*q**3 + 7225*q**2 + 43280*q - 60 = 0.
-2, 2/1443, 3
Determine h so that -6*h**3 + 191740*h**2/11 - 29046*h/11 - 11620/11 = 0.
-2/11, 1/3, 2905
Factor -i**2/2 - 507*i - 14985/2.
-(i + 15)*(i + 999)/2
Factor 2*n**2/7 + 1454*n/7 + 15432.
2*(n + 84)*(n + 643)/7
Factor 2*p**4 + 1228*p**3 + 1226*p**2.
2*p**2*(p + 1)*(p + 613)
Factor -4*o**4 + 708*o**3 + 1432*o**2.
-4*o**2*(o - 179)*(o + 2)
What is d in 2*d**3/9 - 598*d**2/9 + 41368*d/9 + 175168/9 = 0?
-4, 119, 184
Determine d so that 431*d**4/4 + 755*d**3 + 3243*d**2/2 + 981*d + 27/4 = 0.
-3, -1, -3/431
Factor 2*z**3 - 9856*z**2 + 12142592*z.
2*z*(z - 2464)**2
Solve 2*r**4 - 10118*r**3/7 + 7188*r**2/7 + 23096*r/7 + 5776/7 = 0.
-1, -2/7, 2, 722
Determine o so that -3*o**4/2 + 45*o**3 + 306*o**2 - 5685*o + 32175/2 = 0.
-13, 5, 33
Factor 26*z**3/5 + 2*z**2 - 234*z/5 - 18.
2*(z - 3)*(z + 3)*(13*z + 5)/5
Solve a**5/8 - 23*a**4/8 + 95*a**3/8 + 263*a**2/8 + 18*a = 0.
-1, 0, 9, 16
Factor -3*w**4/2 + 125553*w**3/2 - 1313692425*w**2/2 + 1313566875*w/2.
-3*w*(w - 20925)**2*(w - 1)/2
Find j such that 2*j**2 + 6794*j + 6792 = 0.
-3396, -1
Factor -2*j**2/7 - 116*j/7 - 432/7.
-2*(j + 4)*(j + 54)/7
Suppose -3*c**3 - 204*c**2 - 585*c = 0. Calculate c.
-65, -3, 0
Determine z so that 19*z**4/2 - 18089*z**3/2 + 2152948*z**2 - 113288*z = 0.
0, 1/19, 476
Determine r, given that -4*r**4/7 + 1276*r**3 + 540916*r**2/7 - 1276*r - 540912/7 = 0.
-59, -1, 1, 2292
Solve -p**5/4 + 3207*p**4/4 - 2559943*p**3/4 - 18102855*p**2/4 + 5164898*p = 0 for p.
-8, 0, 1, 1607
Factor -c**3/5 + 131414*c**2/5 + 788511*c/5 + 236556.
-(c - 131420)*(c + 3)**2/5
Determine l so that l**2 + 1030*l - 5175 = 0.
-1035, 5
Factor 2*h**4 + 132*h**3 + 840*h**2 - 5008*h + 5568.
2*(h - 2)**2*(h + 12)*(h + 58)
Solve 9*x**5/2 + 573*x**4/2 + 5301*x**3/2 - 235161*x**2/2 - 1470909*x + 10536048 = 0.
-29, 16/3, 18
Determine b so that 21*b**4 - 232*b**3 + 401*b**2 - 118*b - 72 = 0.
-2/7, 1, 4/3, 9
Factor t**4/2 - 889*t**3/2 + 98115*t**2 + 302834*t - 994580.
(t - 446)**2*(t - 2)*(t + 5)/2
Factor -b**2 - 31*b - 210.
-(b + 10)*(b + 21)
Find z, given that z**5/3 + 193*z**4/3 + 4534*z**3/3 + 10784*z**2 + 16032*z = 0.
-167, -12, -2, 0
Let 31*i**3/2 + 126*i**2 - 294*i - 40 = 0. Calculate i.
-10, -4/31, 2
Factor -5*x**3 + 93445*x**2 - 436738535*x + 1309374735.
-5*(x - 9343)**2*(x - 3)
Let -1545*b**2 - 3080*b + 20 = 0. Calculate b.
-2, 2/309
Factor -4*a**4 + 13880*a**3 - 12165172*a**2 + 215611920*a - 965220624.
-4*(a - 1726)**2*(a - 9)**2
Suppose l**4/5 - 7*l**3/5 - 29*l**2 - 85*l = 0. Calculate l.
-5, 0, 17
What is m in -10*m**5/9 + 404*m**4/9 - 500*m**3/3 - 57464*m**2/9 - 33050*m/9 + 2500 = 0?
-9, -1, 2/5, 25
Factor 1537*z**2 + 1543*z + 6.
(z + 1)*(1537*z + 6)
Factor c**2/12 + 10903*c/4 - 16355/6.
(c - 1)*(c + 32710)/12
Suppose -2*g**2/19 + 337004*g/19 - 337002/19 = 0. Calculate g.
1, 168501
Factor -2*q**3/7 + 288*q**2/7 + 11682*q/7.
-2*q*(q - 177)*(q + 33)/7
Determine v so that 14*v**3 - 962*v**2 + 12100*v + 3536 = 0.
-2/7, 17, 52
Find q such that -3675*q**5 + 127995*q**4 + 22023*q**3 + 945*q**2 = 0.
-3/35, 0, 35
Determine u, given that -2*u**5/23 + 938*u**4/23 - 109506*u**3/23 - 112330*u**2/23 + 220900*u/23 = 0.
-2, 0, 1, 235
Solve -21*p**4/2 - 215*p**3/2 - 16*p**2 + 94*p + 40 = 0 for p.
-10, -