 j so that 2*j**2/7 + 578*j/7 + 1716/7 = 0.
-286, -3
Find c, given that -3*c**3 - 420*c**2 - 9153*c = 0.
-113, -27, 0
Let 3*u**3 - 18180*u**2 + 1546839*u - 33137778 = 0. Calculate u.
43, 5974
Solve 256*n**5 - 110432*n**4 + 11985065*n**3 - 16316359*n**2 + 4857495*n - 416025 = 0.
3/16, 1, 215
Factor -5*m**2 - 35215*m - 35210.
-5*(m + 1)*(m + 7042)
Find n, given that 838*n**3 - 2520*n**2 + 18*n = 0.
0, 3/419, 3
Suppose 4*w**3/3 - 76*w**2/3 - 41764*w/3 - 1404500/3 = 0. What is w?
-53, 125
Let 110448*q**5/5 - 127427*q**4/5 - 84963*q**3 + 101942*q**2 - 67908*q/5 - 8/5 = 0. Calculate q.
-2, -1/8496, 2/13, 1, 2
Factor q**3 - 167*q**2/6 - 1454*q/3 - 80.
(q - 40)*(q + 12)*(6*q + 1)/6
Find p such that -206*p**2/7 - 13602*p/7 - 396/7 = 0.
-66, -3/103
Factor -i**3 + 6131*i**2 + 73684*i + 196576.
-(i - 6143)*(i + 4)*(i + 8)
Factor -j**4 + 5982*j**3 - 11960*j**2.
-j**2*(j - 5980)*(j - 2)
Factor 21*s**3 + 3009*s**2 + 831*s - 3861.
3*(s - 1)*(s + 143)*(7*s + 9)
Factor 296*c**2 - 48545*c/4 + 41/4.
(c - 41)*(1184*c - 1)/4
What is r in 2*r**5 + 602*r**4 + 55790*r**3 + 1513998*r**2 + 5405616*r + 5191992 = 0?
-129, -39, -2
Factor f**5/5 - 521*f**4/5 - 630*f**3 - 6316*f**2/5 - 4216*f/5.
f*(f - 527)*(f + 2)**3/5
Factor -2*h**2 + 4356*h + 21830.
-2*(h - 2183)*(h + 5)
Factor z**2 + 59*z - 10050.
(z - 75)*(z + 134)
Solve t**5 - 18*t**4 + 47*t**3 + 362*t**2 - 1824*t + 2080 = 0 for t.
-5, 2, 4, 13
Let 4*x**4 - 348*x**3 - 712*x**2 = 0. What is x?
-2, 0, 89
Factor -35*m**2 + 1499040*m + 428300.
-5*(m - 42830)*(7*m + 2)
Let 10*a**3 + 484*a**2/3 + 608*a = 0. What is a?
-152/15, -6, 0
Let 2*f**5 - 40*f**4 - 54*f**3 + 244*f**2 + 184*f - 336 = 0. What is f?
-2, 1, 2, 21
Suppose 4*h**3 - 3284*h**2 - 67136*h - 121104 = 0. What is h?
-18, -2, 841
Factor 5*k**4/6 + 25*k**3 - 515*k**2/6 - 110*k.
5*k*(k - 4)*(k + 1)*(k + 33)/6
Suppose -t**2 - 1006*t - 13888 = 0. What is t?
-992, -14
Factor 2*r**2 + 336*r + 12190.
2*(r + 53)*(r + 115)
Suppose -14*w**2/5 + 46314*w/5 - 6616/5 = 0. What is w?
1/7, 3308
Solve -4*a**5/5 + 448*a**4/5 - 16356*a**3/5 + 200024*a**2/5 - 294272*a/5 - 511104/5 = 0.
-1, 3, 22, 44
Let 4*j**4 + 111036*j**3 - 666312*j**2 + 1332688*j - 888480 = 0. What is j?
-27765, 2
Factor 5*n**4 - 10750*n**3 + 6942540*n**2 - 1180194120*n.
5*n*(n - 942)**2*(n - 266)
Factor 20*i**5 - 35*i**4 - 250*i**3 + 740*i**2 - 440*i - 160.
5*(i - 2)**3*(i + 4)*(4*i + 1)
Factor p**2 - 2588*p - 218940.
(p - 2670)*(p + 82)
Let -i**5 - 4743*i**4/5 - 21712*i**3/5 + 44*i**2/5 + 8304*i - 15104/5 = 0. What is i?
-944, -4, -2, 2/5, 1
Solve 2*a**2/7 - 700494*a/7 - 700496/7 = 0.
-1, 350248
Suppose 2*u**3 - 1420*u**2 - 8576*u - 11456 = 0. What is u?
-4, -2, 716
Factor 2*x**2/5 - 17358*x/5 + 536176/5.
2*(x - 8648)*(x - 31)/5
Factor o**2/3 - 40972*o/3 + 419676196/3.
(o - 20486)**2/3
Let 3*a**5 - 180*a**4 + 2466*a**3 + 21360*a**2 - 346437*a - 2143260 = 0. Calculate a.
-7, 20, 27
Factor 5*l**3 + 50*l**2 - 8885*l - 8930.
5*(l - 38)*(l + 1)*(l + 47)
Find u such that -u**2/5 - 84047*u/5 + 168098/5 = 0.
-84049, 2
Factor -32*o**3/5 + 5616*o**2 + 14046*o/5 + 1756/5.
-2*(o - 878)*(4*o + 1)**2/5
Factor 2*b**2/3 - 22*b/3 - 19588.
2*(b - 177)*(b + 166)/3
Factor 2*i**4 + 1368*i**3 + 25270*i**2.
2*i**2*(i + 19)*(i + 665)
Factor 2*f**2 + 199786*f.
2*f*(f + 99893)
Suppose 1386*r**2 - 40191*r - 87 = 0. What is r?
-1/462, 29
Factor -64082*w**3/13 + 14675494*w**2/13 - 163966*w/13 + 458/13.
-2*(w - 229)*(179*w - 1)**2/13
Factor 5*m**2 - 411760*m + 8477314880.
5*(m - 41176)**2
Let -a**3 + 3108*a**2 + 37453*a - 40560 = 0. Calculate a.
-13, 1, 3120
Suppose 2*o**2/15 - 16704*o/5 + 104633856/5 = 0. What is o?
12528
Suppose -2*j**5/15 - 90*j**4 - 538*j**3/3 + 90*j**2 + 2692*j/15 = 0. What is j?
-673, -2, -1, 0, 1
Determine i, given that -2*i**4/3 - 46*i**3/3 + 470*i**2/3 - 794*i/3 + 124 = 0.
-31, 1, 6
Let 3*v**2/5 - 63354*v/5 + 126696/5 = 0. Calculate v.
2, 21116
Let -2*v**4/7 - 14*v**3 - 618*v**2/7 - 1278*v/7 - 108 = 0. What is v?
-42, -3, -1
Find y such that -4*y**5/7 - 540*y**4/7 + 89916*y**3/7 + 277628*y**2/7 - 544632*y/7 - 104544 = 0.
-231, -4, -1, 2, 99
Solve 14*u**3 - 34840*u**2/3 + 7216850*u/3 + 3444500/3 = 0 for u.
-10/21, 415
Factor 5*a**2 + 6115*a.
5*a*(a + 1223)
Factor 4*h**4 + 2592*h**3 + 338008*h**2 - 26534304*h + 419184676.
4*(h - 29)**2*(h + 353)**2
Factor 2*s**3/3 + 22*s**2/3 - 8890*s/3 + 66150.
2*(s - 35)**2*(s + 81)/3
Suppose 3*m**4 - 75*m**3 - 3246*m**2 - 24768*m - 21600 = 0. What is m?
-12, -1, 50
Solve r**5/9 - 2491*r**4/3 + 4657546*r**3/3 - 41873086*r**2/9 + 4650905*r - 1550025 = 0 for r.
1, 3735
What is y in y**2 - 580*y - 17024 = 0?
-28, 608
Factor -m**3/3 - 451*m**2/3 + 1816*m/3 - 1820/3.
-(m - 2)**2*(m + 455)/3
Find x, given that -35*x**2 - 5830*x + 2505 = 0.
-167, 3/7
Let -2*n**4 + 524*n**3 - 39034*n**2 + 603064*n - 1054152 = 0. Calculate n.
2, 18, 121
Factor -r**3/4 - 13*r**2 - 255*r/4 + 675.
-(r - 5)*(r + 12)*(r + 45)/4
Suppose -166*g**4/11 + 834*g**3/11 - 684*g**2/11 + 16*g/11 = 0. Calculate g.
0, 2/83, 1, 4
Factor -29*v**3 - 2003*v**2 + 12912*v + 900.
-(v - 6)*(v + 75)*(29*v + 2)
Find b such that 2*b**5/3 - 1514*b**4/3 + 279638*b**3/3 + 2603666*b**2/3 + 7016560*b/3 + 4694048/3 = 0.
-4, -1, 383
Factor m**3/4 - 971*m**2/2 - 11683*m/4 - 2435.
(m - 1948)*(m + 1)*(m + 5)/4
Factor a**2 + 18202*a + 82828201.
(a + 9101)**2
Factor 5*l**2 - 15060*l - 75425.
5*(l - 3017)*(l + 5)
Factor 4*v**3/7 - 1416*v**2/7 + 12332*v/7 + 30360/7.
4*(v - 345)*(v - 11)*(v + 2)/7
Determine g so that g**5/12 - 49*g**4/6 + 303*g**3 - 15646*g**2/3 + 119240*g/3 - 92928 = 0.
4, 18, 22, 32
Factor 3*o**2 + 19899*o + 19896.
3*(o + 1)*(o + 6632)
Factor 5*j**4 - 45145*j**3 - 90305*j**2 - 45155*j.
5*j*(j - 9031)*(j + 1)**2
Factor -7*g**3 - 171*g**2 + 4042*g - 3864.
-(g - 14)*(g - 1)*(7*g + 276)
Suppose -5*u**5 - 9620*u**4 - 4617550*u**3 + 9341120*u**2 + 32496435*u + 18547380 = 0. Calculate u.
-963, -1, 4
Suppose 3*p**5 - 46686*p**4 + 242191386*p**3 - 418910087232*p**2 + 417215354283*p + 2512009335654 = 0. What is p?
-2, 3, 5187
Factor 4*h**2 - 12424*h + 283636.
4*(h - 3083)*(h - 23)
Find b, given that -8*b**4 + 10146*b**3 - 123112*b**2 + 30144*b = 0.
0, 1/4, 12, 1256
Factor 2*w**2 + 2026*w + 31904.
2*(w + 16)*(w + 997)
Determine l, given that -3*l**4 + 1749*l**3/2 + 4407*l**2/2 + 444*l - 882 = 0.
-2, -1, 1/2, 294
Find d, given that d**5/3 - 10*d**4 - 244*d**3/3 - 542*d**2/3 - 159*d - 148/3 = 0.
-4, -1, 37
Factor t**2 - 114961*t + 114960.
(t - 114960)*(t - 1)
Factor 2*a**2/11 + 421032*a/11 + 22158493128/11.
2*(a + 105258)**2/11
Factor 5*j**2 + 958640*j + 45949532480.
5*(j + 95864)**2
Find x such that -x**3/2 - 23*x**2/2 - 68*x - 120 = 0.
-15, -4
Determine b so that -3*b**2/4 - 441*b/8 + 111/4 = 0.
-74, 1/2
Determine x so that 22*x**5 + 1822*x**4 + 17202*x**3 - 256342*x**2 + 279800*x - 42504 = 0.
-69, -22, 2/11, 1, 7
Factor -2*s**2 - 1502*s - 84180.
-2*(s + 61)*(s + 690)
Factor z**4/2 - 605*z**3/2 + 126801*z**2/2 - 10094479*z/2 + 93457741.
(z - 193)**3*(z - 26)/2
Let 4*p**3 - 1304*p**2 - 83820*p = 0. Calculate p.
-55, 0, 381
Solve 4*q**2/7 - 4657680*q/7 + 1355873936400/7 = 0 for q.
582210
Factor 3*x**3/4 - 351*x**2 + 1383*x + 4176.
3*(x - 464)*(x - 6)*(x + 2)/4
What is l in 4*l**3 + 16*l**2 - 2288*l = 0?
-26, 0, 22
Find z such that 5*z**2 + 280*z - 5325 = 0.
-71, 15
Factor -2*m**2/5 - 19166*m/5 - 11496.
-2*(m + 3)*(m + 9580)/5
Factor -2*r**2/5 + 52162*r/5 + 104332/5.
-2*(r - 26083)*(r + 2)/5
What is g in 2*g**2/7 + 398*g/7 - 5064/7 = 0?
-211, 12
Factor -3*i**3 + 306*i**2 + 624*i.
-3*i*(i - 104)*(i + 2)
What is s in -2*s**5/9 + 1412*s**4/9 + 21554*s**3/9 + 55084*s**2/9 - 23072*s = 0?
-9, -8, 0, 2, 721
Factor d**4 - 12294*d**3 + 37871533*d**2 - 527954040*d + 490094800.
(d - 6140)**2*(d - 13)*(d - 1)
Let 2*a**2/17 - 804*a/17 + 58330/17 = 0. What is a?
95, 307
Find m, given that -3*m**2 - 434253*m - 434250 = 0.
-144750, -1
Let -10*k**4 - 13315*k**3 - 72900*k**2 + 39780*k = 0. What is k?
-1326, -6, 0, 1/2
Solve 6*d**2/7 + 5484*d/7 - 52758 = 0 for d.
-977, 63
Let 242*z**5/9 - 25322*z**4/9 + 670304*z**3/9 - 408104*z**2/9 - 215488*z/9 - 21632/9 = 0. Calculate z.
-2/11, 1, 52
Determine f, given that -34*f**4 + 1260*f**3 - 3608*f**2 + 2448*f = 0.
0, 18/17, 2, 34
Solve 2*a**5 + 280*a**4 + 10554*a**3 + 49580*a**2 - 143648*a = 0.
-67, -8, 0, 2
Suppose -1