 t.
-257, -10
Find h, given that -4*h**3/7 - 38056*h**2/7 - 90516196*h/7 = 0.
-4757, 0
Determine q, given that -8*q**4/5 - 198*q**3/5 - 446*q**2/5 + 828*q/5 - 176/5 = 0.
-22, -4, 1/4, 1
Let -5*c**5 - 80*c**4 - 300*c**3 + 160*c**2 + 1600*c = 0. What is c?
-10, -4, 0, 2
Let 465*s**3 + 1385*s**2 + 900*s - 20 = 0. What is s?
-2, -1, 2/93
Solve 4*r**2 - 72348*r = 0.
0, 18087
Find j such that 2*j**3 + 48954*j**2 + 299537286*j - 299586242 = 0.
-12239, 1
Factor 12*p**3 + 2919*p**2 + 36609*p + 8970.
3*(p + 13)*(p + 230)*(4*p + 1)
Suppose 4*x**4 + 152*x**3 - 1972*x**2 - 2408*x + 4224 = 0. Calculate x.
-48, -2, 1, 11
Factor 3*t**2/4 + 268797*t + 24083942403.
3*(t + 179198)**2/4
Factor -2*s**2/3 - 1912*s/3 - 1906.
-2*(s + 3)*(s + 953)/3
Let 2*l**2/15 - 184*l/5 - 554/15 = 0. What is l?
-1, 277
Factor 3*c**3/4 + 52638*c**2 + 3694555935*c/4 + 3694134843/2.
3*(c + 2)*(c + 35091)**2/4
Factor m**3 + 2376*m**2 + 1708992*m + 332287488.
(m + 312)*(m + 1032)**2
Solve 2*s**3 - 236*s**2 - 8*s + 944 = 0 for s.
-2, 2, 118
Factor 680*p**2 - 27895*p + 615.
5*(p - 41)*(136*p - 3)
Let b**5/2 - 280*b**4 + 12438*b**3 - 198585*b**2 + 2430675*b/2 - 1731375 = 0. What is b?
2, 15, 513
Find k, given that -2*k**5/5 + 62*k**4/5 + 20*k**3 - 224*k**2 - 1088*k/5 + 2048/5 = 0.
-4, -2, 1, 4, 32
Factor -4036*i**2/11 + 12106*i/11 + 6/11.
-2*(i - 3)*(2018*i + 1)/11
Determine z, given that 4*z**2 + 7628744*z + 3637358438596 = 0.
-953593
Factor -y**2/12 - 91687*y/12 - 15281/2.
-(y + 1)*(y + 91686)/12
What is r in -3*r**2/7 - 11271*r/7 + 3222 = 0?
-3759, 2
Factor -4*w**5/3 + 1092*w**4 - 2180*w**3 + 3268*w**2/3.
-4*w**2*(w - 817)*(w - 1)**2/3
Suppose 2349675*b**2/7 - 467280*b + 162624 = 0. What is b?
616/885
Factor 2*g**2 + 2125*g/2 + 531/2.
(g + 531)*(4*g + 1)/2
Factor -147*t**2 + 23016*t - 900912.
-3*(7*t - 548)**2
Factor -4*l**4 + 252*l**3 + 4312*l**2.
-4*l**2*(l - 77)*(l + 14)
Suppose 5*l**5 + 7355*l**4 - 14730*l**3 + 10*l**2 + 14725*l - 7365 = 0. Calculate l.
-1473, -1, 1
Solve a**5 + 92*a**4 - 95*a**3 - 186*a**2 = 0 for a.
-93, -1, 0, 2
Solve -2*q**4/11 - 486*q**3/11 - 966*q**2/11 - 482*q/11 = 0.
-241, -1, 0
Determine l so that -l**4/3 - 216*l**3 - 3193*l**2/3 + 4710*l - 10288/3 = 0.
-643, -8, 1, 2
Factor -24*y**2 - 110716*y - 994500.
-4*(y + 9)*(6*y + 27625)
Factor -4*o**4 + 84*o**3 + 12*o**2 - 244*o - 168.
-4*(o - 21)*(o - 2)*(o + 1)**2
Let 10*j**3 - 51324*j**2 - 30802*j + 20532 = 0. Calculate j.
-1, 2/5, 5133
Factor 5*o**4/4 - 4775*o**3 + 6086520*o**2 - 2596864320*o + 10290378240.
5*(o - 1272)**3*(o - 4)/4
Find r such that -r**5/3 + 137*r**4/3 - 2005*r**3/3 + 8335*r**2/3 + 2086*r/3 - 47432/3 = 0.
-2, 4, 7, 121
Factor -w**3/3 - 3533*w**2/3 + 17728*w - 42576.
-(w - 12)*(w - 3)*(w + 3548)/3
Factor 2714*q**2/5 + 8594*q/15 + 452/15.
2*(q + 1)*(4071*q + 226)/15
Factor 5*o**4 - 125*o**3 - 13135*o**2 - 25875*o - 12870.
5*(o - 66)*(o + 1)**2*(o + 39)
What is t in -21*t**5 + 351*t**4 - 1251*t**3 - 1479*t**2 + 7920*t = 0?
-16/7, 0, 3, 5, 11
Suppose -3*r**3/2 - 12*r**2 - 30*r - 24 = 0. What is r?
-4, -2
Find v such that 80*v**4 - 1400*v**3 + 8405*v**2 - 20850*v + 18000 = 0.
2, 15/4, 8
Factor 2*q**3/17 - 39818*q**2/17 + 198164230*q/17 + 198204050/17.
2*(q - 9955)**2*(q + 1)/17
Solve -4*k**4 - 120*k**3 + 30912*k**2 - 61448*k + 30660 = 0 for k.
-105, 1, 73
Factor -2*x**4 + 152*x**3 + 3992*x**2 + 30592*x + 75264.
-2*(x - 98)*(x + 6)*(x + 8)**2
Determine f, given that 75*f**5 + 1596060*f**4 - 5108088*f**3 + 1532640*f**2 + 4086576*f + 1021632 = 0.
-21284, -2/5, 2
Factor -c**4/2 - 19*c**3/2 - 57*c**2 - 130*c - 100.
-(c + 2)**2*(c + 5)*(c + 10)/2
Determine n so that -2*n**3/9 - 106*n**2/3 + 220*n = 0.
-165, 0, 6
Factor 2*o**2 - 4608828*o + 2655161941698.
2*(o - 1152207)**2
Factor 6*h**2/5 + 7689*h + 19221/5.
3*(h + 6407)*(2*h + 1)/5
Factor -x**4 + 23*x**3 - 144*x**2 + 252*x.
-x*(x - 14)*(x - 6)*(x - 3)
Factor -192*n**3 - 240432*n**2 - 75149883*n + 75390507.
-3*(n - 1)*(8*n + 5013)**2
Solve -2*a**2 - 120664*a - 1819975112 = 0.
-30166
Factor a**3/6 - 130*a**2/3 - 1414*a - 10440.
(a - 290)*(a + 12)*(a + 18)/6
Determine m, given that -3*m**4/8 + 87*m**3/4 + 171*m**2/2 - 3855*m/4 - 32025/8 = 0.
-5, 7, 61
What is k in 2*k**3 + 228*k**2 + 6298*k = 0?
-67, -47, 0
Factor -14*a**3 + 1756*a**2 + 4608*a.
-2*a*(a - 128)*(7*a + 18)
Factor -4*y**2 - 7472*y + 37460.
-4*(y - 5)*(y + 1873)
Suppose -3*b**3 - 101211*b**2 - 853689480*b - 853588272 = 0. What is b?
-16868, -1
What is n in -n**5 - 59*n**4 - 54*n**3 + 236*n**2 + 232*n = 0?
-58, -2, -1, 0, 2
Factor 121*q**3 + 1284811*q**2 - 934456*q + 169904.
(q + 10619)*(11*q - 4)**2
What is j in -2*j**4/21 - 164*j**3/21 - 2546*j**2/21 + 1864*j/7 - 960/7 = 0?
-60, -24, 1
Find w, given that -2*w**3 - 6*w**2 + 36*w + 80 = 0.
-5, -2, 4
Solve -t**2/3 + 15647*t/3 + 5216 = 0.
-1, 15648
Factor r**3/2 + 236*r**2 + 1390*r - 3728.
(r - 2)*(r + 8)*(r + 466)/2
Suppose 3*f**2/7 + 441090*f/7 + 1323243/7 = 0. What is f?
-147027, -3
Factor -3*y**4 + 522*y**3 + 55404*y**2 + 1614006*y + 15057495.
-3*(y - 255)*(y + 27)**3
Factor -n**4/3 + 3*n**3 + 5*n**2 - 53*n/3 + 10.
-(n - 10)*(n - 1)**2*(n + 3)/3
Solve 91*h**3 - 549*h**2 - 619*h + 21 = 0.
-1, 3/91, 7
Factor -35*r**2 - 177665*r - 25380.
-5*(r + 5076)*(7*r + 1)
Let -d**5 + 4*d**4 + 135*d**3 - 50*d**2 - 2584*d + 2496 = 0. Calculate d.
-8, -6, 1, 4, 13
Solve 4*t**5 + 556*t**4 - 2268*t**3 + 2852*t**2 - 1144*t = 0.
-143, 0, 1, 2
Let o**5/6 + 29*o**4/6 - 227*o**3/2 - 999*o**2/2 + 17010*o - 71442 = 0. What is o?
-42, -14, 9
What is w in w**4/2 - 1669*w**3/2 + 364606*w**2 - 13475770*w - 43731336 = 0?
-3, 44, 814
Determine o so that -o**2 - 15908*o - 63266116 = 0.
-7954
Suppose 2*d**5 + 166*d**4 - 1440*d**3 + 1520*d**2 + 5728*d - 8736 = 0. What is d?
-91, -2, 2, 6
Factor 3*d**3/2 - 171*d**2 - 435*d/2 + 5175.
3*(d - 115)*(d - 5)*(d + 6)/2
Suppose -50*f**3/3 - 71*f**2/3 - 7*f = 0. Calculate f.
-1, -21/50, 0
Solve u**2 - 81844*u - 327392 = 0.
-4, 81848
Let -2*n**2/3 - 556*n + 8390/3 = 0. What is n?
-839, 5
Determine t so that -6*t**4/13 - 31832*t**3/13 + 148640*t**2/13 - 212384*t/13 + 84960/13 = 0.
-5310, 2/3, 2
Suppose 2*p**4 + 428*p**3 + 19218*p**2 - 393760*p + 1692800 = 0. Calculate p.
-115, 8
Solve -4*w**4 + 252*w**3 + 22908*w**2 + 279172*w - 302328 = 0.
-38, -17, 1, 117
Solve 15*i**2/2 + 6123*i/2 - 2454 = 0.
-409, 4/5
Let 5*z**5 - 1320*z**4 - 1355*z**3 + 7930*z**2 + 5340*z - 10600 = 0. What is z?
-2, 1, 2, 265
Let 2*a**5/9 - 26*a**4/9 + 4*a**3 + 104*a**2/9 - 176*a/9 = 0. Calculate a.
-2, 0, 2, 11
Factor 4*m**3 - 3732*m**2 - 2390580*m - 303801244.
4*(m - 1399)*(m + 233)**2
Determine q so that -q**5/2 + 1856*q**4 - 1855*q**3 - 1856*q**2 + 3711*q/2 = 0.
-1, 0, 1, 3711
Determine m so that m**5 - 12*m**4 - 6*m**3 + 80*m**2 - 99*m + 36 = 0.
-3, 1, 12
Determine o, given that 4*o**2/7 + 879512*o/7 + 48346334884/7 = 0.
-109939
Factor -3*x**4 + 75*x**3 - 156*x**2 - 3636*x + 15120.
-3*(x - 20)*(x - 6)**2*(x + 7)
Determine i so that -i**2 - 137263*i - 411780 = 0.
-137260, -3
Suppose -4*u**4 - 5048*u**3 - 2116752*u**2 - 292057760*u + 1202423168 = 0. Calculate u.
-422, 4
Solve m**4 - 2331*m**3 + 1321507*m**2 + 43313175*m - 44632352 = 0 for m.
-32, 1, 1181
Let 5*p**3 + 19450*p**2 - 38915*p + 19460 = 0. Calculate p.
-3892, 1
Factor 5*y**3 - 37165*y**2 + 68218055*y + 3145527225.
5*(y - 3739)**2*(y + 45)
Factor 2*w**2 - 1854*w + 57280.
2*(w - 895)*(w - 32)
Find k such that 4*k**5/9 - 22040*k**4/9 - 88216*k**3/9 - 44128*k**2/9 + 29404*k/3 + 7352 = 0.
-3, -1, 1, 5514
Factor 19*y**3/7 - 3434*y**2/7 - 14965*y/7 - 3700/7.
(y - 185)*(y + 4)*(19*y + 5)/7
Factor 3*g**3/2 - 11049*g**2 + 132507*g/2 - 99360.
3*(g - 7360)*(g - 3)**2/2
Factor d**5 + 56*d**4 - 299*d**3 + 366*d**2.
d**2*(d - 3)*(d - 2)*(d + 61)
Factor -q**2/6 - 16319*q/3 + 32639/6.
-(q - 1)*(q + 32639)/6
Factor -5*m**2/4 - 78645*m/2 - 471825/4.
-5*(m + 3)*(m + 31455)/4
Factor 4*w**4/5 - 52*w**3/5 + 184*w**2/5 - 192*w/5.
4*w*(w - 8)*(w - 3)*(w - 2)/5
Factor 4*q**5/5 + 2464*q**4/5 + 364384*q**3/5 - 4642176*q**2/5 + 14197824*q/5.
4*q*(q - 6)**2*(q + 314)**2/5
Find x, given that -2*x**4 + 3142*x**3 - 15658*x**2 - 3142*x + 15660 = 0.
-1, 1, 5, 1566
Factor 8*o**2/3 + 1583*o/6 + 245.
(o + 98)*(16*o + 15)/6
Factor -3*m**3 - 51228*m**2 + 102477*m + 153702.
-3*(m - 3)*(m + 1)*(m + 17078)
Factor -3*t**2/7 - 61830*t/7 + 6183