ate m.
0, 2, 3, 117
Factor -3*a**2 + 1521*a + 53460.
-3*(a - 540)*(a + 33)
Factor 20*c**3 - 3275*c**2 - 140120*c - 34825.
5*(c - 199)*(c + 35)*(4*c + 1)
Determine f so that 11*f**2/8 - 1913*f/8 - 525/2 = 0.
-12/11, 175
Let 4*d**3 + 4340*d**2 - 65856*d + 158400 = 0. Calculate d.
-1100, 3, 12
Determine p, given that -3249*p**3/2 - 169689*p**2/2 - 2128351*p/2 + 2301289/2 = 0.
-1517/57, 1
Factor 14*d**3 - 64390*d**2 - 432992*d + 128968.
2*(d - 4606)*(d + 7)*(7*d - 2)
Factor 5*z**2 + 2050*z + 20000.
5*(z + 10)*(z + 400)
What is x in 45*x**5 - 9309*x**4/2 + 172447*x**3/2 + 100619*x**2/2 + 2183*x/2 - 1975 = 0?
-2/5, -1/3, 1/6, 25, 79
Determine o, given that -o**2/2 - 841618*o - 354160428962 = 0.
-841618
Suppose -2*o**5/5 - 112*o**4/5 + 1478*o**3/5 - 44*o**2/5 - 21336*o/5 - 28944/5 = 0. What is o?
-67, -2, 6, 9
Determine v, given that -v**2/2 - 479*v/2 + 723 = 0.
-482, 3
Factor g**2/5 - 6467*g/5 + 19392/5.
(g - 6464)*(g - 3)/5
Suppose n**4 + 4*n**3 - 235*n**2 - 238*n = 0. Calculate n.
-17, -1, 0, 14
Factor -2*s**5 - 96*s**4 - 2997*s**3/2 - 15309*s**2/2.
-s**2*(s + 21)*(2*s + 27)**2/2
Suppose -2*s**3/7 + 1584*s**2/7 - 307200*s/7 - 2560000/7 = 0. What is s?
-8, 400
Find q such that q**2/2 + 1353*q/2 + 4711 = 0.
-1346, -7
Factor 266*d**2 + 89*d/6 - 1.
(21*d + 2)*(76*d - 3)/6
Solve -3*n**3/7 + 6087*n**2/7 + 360615*n/7 + 5265501/7 = 0.
-29, 2087
Let g**5/8 + 2*g**4 + 91*g**3/8 + 27*g**2 + 45*g/2 = 0. Calculate g.
-6, -5, -3, -2, 0
Solve -9*h**3 + 6316*h**2 + 510579*h + 113150 = 0 for h.
-73, -2/9, 775
Factor 3*v**3 - 9*v**2 - 864*v - 3120.
3*(v - 20)*(v + 4)*(v + 13)
Factor 2*u**4 - 620*u**3 + 48032*u**2 + 5580*u - 432450.
2*(u - 155)**2*(u - 3)*(u + 3)
Let 4*w**5 - 16732*w**4/3 + 6460616*w**3/3 - 425602304*w**2/3 + 141150208*w/3 = 0. What is w?
0, 1/3, 82, 656
Factor -2*i**2/5 - 785992*i - 386114640040.
-2*(i + 982490)**2/5
Find i, given that -i**2/7 - 1088*i/7 + 3327 = 0.
-1109, 21
Factor -4*l**4 + 292*l**3 - 1376*l**2 + 1088*l.
-4*l*(l - 68)*(l - 4)*(l - 1)
Let 488*x**3 + 209844*x**2 + 1720*x = 0. Calculate x.
-430, -1/122, 0
Solve 3*g**4/4 + 6306*g**3 + 26723961*g**2/2 + 448854774*g + 15199350123/4 = 0 for g.
-4187, -17
Determine w so that -2*w**3/17 + 2474*w**2/17 - 766320*w/17 + 763848/17 = 0.
1, 618
Determine z, given that 6*z**2 + 184781*z - 30797 = 0.
-30797, 1/6
Factor -3*v**4/8 + 15827*v**3/8 - 2608982*v**2 - 1739761*v/2.
-v*(v - 2638)**2*(3*v + 1)/8
Determine u, given that u**2/2 + 99799*u/2 - 49900 = 0.
-99800, 1
Let -2*n**3 + 456*n**2 + 7182*n + 26244 = 0. What is n?
-9, -6, 243
Factor -3*d**5 + 63*d**4 + 138*d**3.
-3*d**3*(d - 23)*(d + 2)
Determine l so that -211*l**3 + 1237*l**2 + 1651*l + 203 = 0.
-1, -29/211, 7
Factor y**4 - 6406*y**3 + 9378769*y**2 + 2820049320*y + 193793648400.
(y - 3335)**2*(y + 132)**2
Factor -m**3/6 - 91741*m**2/3 - 366961*m/6 - 30580.
-(m + 1)**2*(m + 183480)/6
Suppose -74*k**4/7 + 1284*k**3/7 - 6162*k**2/7 + 3616*k/7 + 11136/7 = 0. Calculate k.
-1, 87/37, 8
Find p such that -192*p**3 + 173424*p**2 - 43347*p + 2709 = 0.
1/8, 903
Find r such that 5*r**2 - 6675*r - 13370 = 0.
-2, 1337
Factor o**2 + 6734*o - 13472.
(o - 2)*(o + 6736)
Suppose 5*u**4 - 885*u**3 - 13230*u**2 - 27340*u + 114600 = 0. What is u?
-10, -6, 2, 191
Factor -2*m**3 - 11102*m**2 + 2*m + 11102.
-2*(m - 1)*(m + 1)*(m + 5551)
Factor -2*a**3/7 + 1376*a**2/7 + 5546*a/7 - 6920/7.
-2*(a - 692)*(a - 1)*(a + 5)/7
Factor -2*y**3/3 + 204*y**2 + 618*y.
-2*y*(y - 309)*(y + 3)/3
Factor -2*t**3 + 318*t**2 - 11880*t.
-2*t*(t - 99)*(t - 60)
Factor -19*g**4/2 - 423*g**3/2 + 1383*g**2/2 - 1421*g/2 + 240.
-(g - 1)**3*(19*g + 480)/2
Factor d**4/4 + 9303*d**3/4 - 27915*d**2/4 + 27917*d/4 - 4653/2.
(d - 1)**3*(d + 9306)/4
Let -2*c**3/11 - 194*c**2/11 + 4448*c/11 + 4640/11 = 0. What is c?
-116, -1, 20
Factor -5*m**3 - 470*m**2 + 1000*m + 3840.
-5*(m - 4)*(m + 2)*(m + 96)
Let 3*j**2 - 9654*j + 7766643 = 0. What is j?
1609
What is f in -26*f**3 - 3478*f**2 - 6000*f + 9504 = 0?
-132, -36/13, 1
What is p in 3*p**4 + 3*p**3 - 591*p**2 + 585*p = 0?
-15, 0, 1, 13
Solve 2*n**2 + 4084*n + 20370 = 0.
-2037, -5
Factor -z**2 + 52942*z + 52943.
-(z - 52943)*(z + 1)
Factor -i**3 + 38*i**2 + 1509*i + 4158.
-(i - 63)*(i + 3)*(i + 22)
Suppose 3*x**4 + 4403*x**3/2 + 405893*x**2 + 736026*x - 133956 = 0. Calculate x.
-366, -2, 1/6
Solve 7*d**5/5 + 118*d**4 - 6349*d**3/5 + 812*d**2 + 1692*d/5 = 0.
-94, -2/7, 0, 1, 9
Solve -h**5/4 - 27*h**4/2 - 59*h**3 + 3470*h**2 - 11424*h - 36992 = 0 for h.
-34, -2, 8
Factor -4*s**4 - 1188*s**3 - 5856*s**2 - 4672*s.
-4*s*(s + 1)*(s + 4)*(s + 292)
Solve 4*v**5/9 - 32*v**4/9 - 340*v**3/3 - 4744*v**2/9 + 560*v/9 + 8800/3 = 0 for v.
-6, -5, 2, 22
Factor -h**4/11 - 196*h**3/11 - 579*h**2/11.
-h**2*(h + 3)*(h + 193)/11
Find v, given that -v**3 + 76*v**2 - 1371*v + 1296 = 0.
1, 27, 48
Find a, given that -9*a**3/5 - 471*a**2/5 + 22728*a/5 - 2988 = 0.
-83, 2/3, 30
Factor 27*w**2/2 - 240276*w - 427200.
3*(w - 17800)*(9*w + 16)/2
Factor -c**3/5 + 293*c**2/5 + 16089*c + 4142871/5.
-(c - 479)*(c + 93)**2/5
Find c such that 8*c**2 + 2332*c - 205900 = 0.
-725/2, 71
Solve 16*s**5 + 492*s**4 + 1492*s**3 - 14148*s**2 - 40244*s + 10920 = 0 for s.
-26, -7, -3, 1/4, 5
Determine o so that 14*o**3 - 62122*o**2 + 203976*o - 53208 = 0.
2/7, 3, 4434
Find s such that -26*s**5/3 + 1256*s**4/3 + 1172*s**3 + 2752*s**2/3 + 110*s/3 - 136 = 0.
-1, 4/13, 51
Determine a, given that 3*a**4/2 - 1353*a**3/2 + 666*a**2 + 4050*a = 0.
-2, 0, 3, 450
Factor 4*h**2 - 16948*h - 33912.
4*(h - 4239)*(h + 2)
Let 2*g**5 - 1220*g**4 + 274034*g**3 - 27003848*g**2 + 1018943744*g - 3660941312 = 0. Calculate g.
4, 112, 191
Solve 3*y**5 - 8640*y**4 + 171759*y**3 - 454842*y**2 + 291720*y = 0 for y.
0, 1, 2, 17, 2860
Suppose 4*h**2 + 4700672*h + 1381019828224 = 0. Calculate h.
-587584
Factor 2160*u**2 - 2105*u - 55.
5*(u - 1)*(432*u + 11)
Determine q so that q**4/2 - 19*q**3 - 56*q**2 + 592*q + 1920 = 0.
-4, 6, 40
Let 4*m**3 + 212*m**2 - 37300*m + 37084 = 0. Calculate m.
-127, 1, 73
What is v in -2*v**5 + 1542*v**4 - 3046*v**3 - 23142*v**2 + 55368*v = 0?
-4, 0, 3, 769
Solve -b**2/7 + 91090*b/7 - 2074347025/7 = 0 for b.
45545
What is v in 4*v**5 + 64*v**4 + 252*v**3 + 16*v**2 - 1136*v - 960 = 0?
-10, -4, -3, -1, 2
Determine a so that a**3/5 + 82*a**2/5 - 2739*a/5 + 7452/5 = 0.
-108, 3, 23
Factor -m**2 + 209*m - 1218.
-(m - 203)*(m - 6)
Find o such that 28*o**5 - 473488*o**4 + 1555552*o**3 - 1826008*o**2 + 879172*o - 135256 = 0.
2/7, 1, 16907
Factor 2*u**2/5 + 301612*u/5 + 11371224818/5.
2*(u + 75403)**2/5
Factor -3*a**2 + 3237*a.
-3*a*(a - 1079)
Factor 2*a**2 + 2154*a - 43880.
2*(a - 20)*(a + 1097)
Factor 2*m**2/7 + 90*m/7 + 648/7.
2*(m + 9)*(m + 36)/7
Factor 4*y**4 - 976*y**3 - 7028*y**2.
4*y**2*(y - 251)*(y + 7)
Find b such that 980*b**5 + 1943165*b**4 + 156060390*b**3 + 127317745*b**2 + 34715380*b + 3152340 = 0.
-1899, -83, -2/7, -1/4
Factor z**2 - 2629*z - 15810.
(z - 2635)*(z + 6)
Factor 2*a**3/3 + 3808*a**2 - 57170*a/3.
2*a*(a - 5)*(a + 5717)/3
Factor -2*h**2/7 + 6214*h/7 - 49584/7.
-2*(h - 3099)*(h - 8)/7
Solve 4*r**2/5 - 2712*r/5 + 75284/5 = 0.
29, 649
Determine g so that g**4 - 437*g**3 + 44749*g**2 + 92577*g - 136890 = 0.
-3, 1, 169, 270
Solve m**3/10 + 196*m**2/5 + 1921*m/10 - 2709/5 = 0 for m.
-387, -7, 2
Factor 147*m**3 + 876*m**2 - 2388*m + 96.
3*(m - 2)*(m + 8)*(49*m - 2)
Factor -o**2/5 + 40132*o/5 - 40131/5.
-(o - 40131)*(o - 1)/5
Let 3*p**4 + 87*p**3 + 516*p**2 - 1404*p = 0. Calculate p.
-18, -13, 0, 2
Factor 16*k**3 + 90636*k**2 - 22672*k - 67980.
4*(k - 1)*(k + 5665)*(4*k + 3)
Factor 3*o**3/2 + 600*o**2 - 17241*o/2 + 30429.
3*(o - 7)**2*(o + 414)/2
Factor 12*r**3 - 88940*r**2 - 29656*r + 59296.
4*(r - 7412)*(r + 1)*(3*r - 2)
Suppose 2*k**2/5 + 55972*k/5 + 11194 = 0. What is k?
-27985, -1
Solve -4*u**4/3 - 156*u**3 + 16*u**2/3 + 624*u = 0.
-117, -2, 0, 2
Find m, given that 3*m**4 - 147*m**3 - 6114*m**2 - 4128*m + 71136 = 0.
-26, -4, 3, 76
Solve -f**3 - 12*f**2 + 295*f - 750 = 0.
-25, 3, 10
Find t such that -t**2/2 + 282*t - 1674 = 0.
6, 558
Solve -5*b**4 - 18855*b**3 + 75495*b**2 - 18905*b - 113250 = 0.
-3775, -1, 2, 3
Factor 5*f**2 + 165215*f - 330450.
5*(f - 2)*(f + 33045)
Solve g**4/8 + 643*g**3/2 + 1283*g**2/4 - 3213*g/2 + 7713/8 = 0.
-2571, -3, 1
Factor -5*f**4 + 1170*f**3 + 19680*f**2 +