1.
2*(l - 1180)*(l + 10)/11
Factor -3*p**2 + 154*p/3.
-p*(9*p - 154)/3
Solve 4*d**3/7 - 21768*d**2/7 + 29593584*d/7 + 59274272/7 = 0 for d.
-2, 2722
Solve -3*o**2 - 7851*o - 1749798 = 0.
-2371, -246
Solve -20*b**2/3 + 112634*b/3 + 11264 = 0.
-3/10, 5632
Find d such that -26*d**4/5 - 64*d**3/5 + 354*d**2 + 7848*d/5 + 648 = 0.
-6, -5, -6/13, 9
Factor 3*c**3/2 - 318*c**2 - 1281*c/2 - 321.
3*(c - 214)*(c + 1)**2/2
Factor 3*n**2 + 22200*n.
3*n*(n + 7400)
Factor 4*u**3 - 220*u**2 - 1400*u + 12000.
4*(u - 60)*(u - 5)*(u + 10)
Let s**3/4 - 275*s**2/4 - 282*s + 837 = 0. Calculate s.
-6, 2, 279
Factor -p**3/2 - 852*p**2 - 361242*p + 1458632.
-(p - 4)*(p + 854)**2/2
Let 2*g**2/3 + 1856*g/3 + 6120 = 0. What is g?
-918, -10
Let 2*z**5/3 - 76*z**4/3 + 310*z**3 - 3304*z**2/3 - 4312*z/3 = 0. What is z?
-1, 0, 11, 14
Factor 309*a**2/2 - 305*a/2 - 2.
(a - 1)*(309*a + 4)/2
Suppose g**2/3 + 176*g/3 - 3920/3 = 0. What is g?
-196, 20
Find x such that 9*x**3/2 - 537*x**2/2 - 2800*x - 6762 = 0.
-14/3, 69
Solve 3*h**2 - 25836*h - 25839 = 0 for h.
-1, 8613
What is o in -o**4/6 + 241*o**3/6 - 349*o**2/3 - 1898*o/3 - 476 = 0?
-2, -1, 6, 238
Find h, given that -5*h**5 - 19995*h**4 - 139770*h**3 - 199600*h**2 = 0.
-3992, -5, -2, 0
What is w in w**3/5 + 98*w**2 - 100776*w/5 = 0?
-646, 0, 156
Factor -r**2/8 - 75*r/2 - 3731/8.
-(r + 13)*(r + 287)/8
Find u, given that 4*u**5 - 4036*u**4 + 35992*u**3 + 8288*u**2 - 287744*u - 256000 = 0.
-2, -1, 4, 8, 1000
Let 2*s**2 + 4186*s + 33360 = 0. Calculate s.
-2085, -8
Let 2*z**3/3 - 194*z**2/3 + 4078*z/3 - 3886/3 = 0. What is z?
1, 29, 67
Factor -6*d**2/7 + 2123376*d/7 - 187863568224/7.
-6*(d - 176948)**2/7
Let 3*c**4 - 181*c**3 + 736*c**2 - 436*c - 672 = 0. Calculate c.
-2/3, 2, 3, 56
Find l such that 3*l**3/5 + 81*l**2/5 - 42*l - 3528/5 = 0.
-28, -6, 7
Find c, given that -2*c**2 - 724*c + 16086 = 0.
-383, 21
Factor -4*m**3 + 288*m**2 + 11092*m + 10800.
-4*(m - 100)*(m + 1)*(m + 27)
Suppose -2*v**5 + 76*v**4 + 176*v**3 - 640*v**2 = 0. What is v?
-4, 0, 2, 40
Solve -23465*p**3 + 3415*p**2 + 19885*p + 165 = 0.
-11/13, -3/361, 1
Let -5*c**4 - 1275*c**3 - 8735*c**2 - 13665*c - 6200 = 0. Calculate c.
-248, -5, -1
Suppose 7921*j**5/2 + 229887*j**4 + 6682213*j**3/2 + 149814*j**2 + 1682*j = 0. Calculate j.
-29, -2/89, 0
Factor -5*i**4 + 365685*i**3 + 2194230*i**2 + 4388540*i + 2925720.
-5*(i - 73143)*(i + 2)**3
Solve -8*k**4/5 - 302*k**3 - 21046*k**2/5 + 5215294*k/5 - 4333266 = 0 for k.
-119, 17/4, 45
Factor v**2/7 - 27980*v/7 - 27981/7.
(v - 27981)*(v + 1)/7
Find p, given that -2*p**2 + 3954*p - 215152 = 0.
56, 1921
Solve w**2/3 - 97*w/3 - 1116 = 0.
-27, 124
Factor g**3/4 + 73*g**2 - 8111*g/4 - 29481/2.
(g - 31)*(g + 6)*(g + 317)/4
Factor h**2/4 + 1510*h - 102969/4.
(h - 17)*(h + 6057)/4
Suppose 5*x**4 + 220*x**3 + 2055*x**2 - 8280*x = 0. Calculate x.
-24, -23, 0, 3
Find f such that 3*f**4 - 3957*f**3 + 1314675*f**2 - 6498387*f + 7769682 = 0.
2, 3, 657
Factor -4*v**3 - 17264*v**2 - 155012*v + 172280.
-4*(v - 1)*(v + 10)*(v + 4307)
Factor -3*w**2 - 63138*w - 126264.
-3*(w + 2)*(w + 21044)
Suppose 2*d**2/3 - 47618*d/3 + 15872 = 0. Calculate d.
1, 23808
Suppose 27*c**5 + 957*c**4 + 2900*c**3 - 2492*c**2 - 1904*c + 512 = 0. What is c?
-32, -4, -2/3, 2/9, 1
Factor q**3/2 + 64181*q**2/2 + 641735*q/2 + 1604275/2.
(q + 5)**2*(q + 64171)/2
Find z such that -2*z**3/23 + 25296*z**2/23 - 79985952*z/23 = 0.
0, 6324
Let -22*x**4/3 - 8708*x**3/9 + 176*x**2/3 = 0. Calculate x.
-132, 0, 2/33
Find g such that 19*g**3/3 - 27011*g**2 - 251806*g/3 - 8536 = 0.
-3, -2/19, 4268
Solve -4*x**5 + 112*x**4 - 964*x**3 + 1720*x**2 + 6800*x + 4000 = 0.
-1, 10
Factor c**2/4 - 11657*c/4.
c*(c - 11657)/4
Suppose r**4/10 + 6164*r**3/5 - 61674*r**2/5 + 197392*r/5 - 197408/5 = 0. What is r?
-12338, 2, 4
Factor 2*p**2/7 + 1684*p + 11786/7.
2*(p + 1)*(p + 5893)/7
Suppose 224*w**2 - 1175*w + 275 = 0. What is w?
55/224, 5
Solve 24*x**5/7 + 2174*x**4/7 + 23942*x**3/7 + 71650*x**2/7 + 2350*x = 0.
-235/3, -7, -5, -1/4, 0
Suppose 4*y**5 + 468*y**4 + 9720*y**3 + 17152*y**2 - 559104*y = 0. What is y?
-91, -16, 0, 6
Let -3*d**5 - 756*d**4 + 6984*d**3 - 16386*d**2 + 14859*d - 4698 = 0. Calculate d.
-261, 1, 6
Solve -4*p**3 + 589*p**2 - 730*p = 0 for p.
0, 5/4, 146
Determine i, given that -i**5/4 - 134*i**4 - 23895*i**3 - 2817997*i**2/2 + 6312077*i/4 + 17206017/2 = 0.
-179, -2, 3
Factor 48*d**2 - 1923*d + 120.
3*(d - 40)*(16*d - 1)
Solve c**5/4 - 64717*c**4 + 5584343640*c**3 - 160616891601100*c**2 - 321256121094500*c = 0.
-2, 0, 86290
Factor 2*s**3 - 248*s**2 + 7790*s - 33000.
2*(s - 75)*(s - 44)*(s - 5)
Factor 4*u**4 - 4244*u**3 + 12704*u**2 - 8464*u.
4*u*(u - 1058)*(u - 2)*(u - 1)
Suppose -g**5/5 + 23*g**4 - 663*g**3/5 + 977*g**2/5 + 448*g/5 - 1308/5 = 0. Calculate g.
-1, 2, 3, 109
Let -80*t**5 - 2920*t**4 - 6885*t**3 - 2900*t**2 - 340*t = 0. Calculate t.
-34, -2, -1/4, 0
Let -5*i**5/4 + 42105*i**4/4 - 88788815*i**3/4 + 620132895*i**2/4 - 354103190*i + 265482735 = 0. Calculate i.
2, 3, 4207
Find c, given that -c**2 - 2088*c - 2087 = 0.
-2087, -1
Let 35*o**2 - 6466820*o + 1847660 = 0. Calculate o.
2/7, 184766
Factor p**4/7 - 295*p**3/7 - 24254*p**2/7.
p**2*(p - 362)*(p + 67)/7
What is x in 2*x**5 + 40*x**4 - 278*x**3 - 628*x**2 + 1944*x + 3600 = 0?
-25, -2, 3, 6
Solve -90*m**5 - 9519*m**4 + 31662*m**3 - 6231*m**2 - 1962*m = 0.
-109, -1/6, 0, 2/5, 3
Factor -2*m**3/11 - 538*m**2/11 + 770202*m/11 + 24860358.
-2*(m - 649)*(m + 459)**2/11
Let 4*z**5 - 556*z**4 - 88644*z**3 + 546428*z**2 - 824720*z + 367488 = 0. What is z?
-99, 1, 4, 232
Find w, given that -2*w**4/7 + 9740*w**3/7 - 11974512*w**2/7 + 40289644*w - 270062734/7 = 0.
1, 23, 2423
Solve -853*t**3/5 + 6749*t**2/5 - 13048*t/5 - 240 = 0.
-75/853, 4
Determine x so that -16*x**2/13 - 3002*x/13 + 1128/13 = 0.
-188, 3/8
What is o in -2*o**4/5 - 16*o**3/15 + 6*o**2/5 + 12*o/5 - 32/15 = 0?
-8/3, -2, 1
Determine m so that m**5 - 95*m**4 + 2811*m**3 - 20849*m**2 - 167048*m + 1061340 = 0.
-7, 5, 21, 38
Let -3*h**3 - 147*h**2 + 6240*h + 6384 = 0. Calculate h.
-76, -1, 28
Suppose -158*x**2/5 - 849*x/5 = 0. What is x?
-849/158, 0
Let -3*v**2/5 - 4038*v/5 + 7317 = 0. What is v?
-1355, 9
Factor -2*u**2 - 11460*u + 22928.
-2*(u - 2)*(u + 5732)
What is d in -d**5/6 - 6379*d**4/6 - 10092847*d**3/6 + 255404159*d**2/6 - 733616624*d/3 - 866361938/3 = 0?
-3202, -1, 13
Find l, given that -2*l**2/7 + 240*l/7 + 4968/7 = 0.
-18, 138
Suppose -l**3 + 12905*l**2 - 41667000*l + 208012500 = 0. What is l?
5, 6450
Let 53*d**4/4 + 251*d**3 + 1745*d**2/4 - 51*d/2 = 0. Calculate d.
-17, -2, 0, 3/53
Find w, given that 20*w**2 + 357624*w - 286112 = 0.
-17882, 4/5
Factor -1215*b**4/8 + 3633*b**3/8 + 9*b**2/2.
-3*b**2*(b - 3)*(405*b + 4)/8
Factor p**3/4 - 5097*p**2/4 - 25596*p + 56287.
(p - 5117)*(p - 2)*(p + 22)/4
Find a, given that -4*a**3 - 41272*a**2 - 106502384*a - 212839712 = 0.
-5158, -2
Let 4*i**3/7 - 1800*i**2 - 215508*i/7 + 481384/7 = 0. What is i?
-19, 2, 3167
Find a, given that 3*a**5/5 + 156*a**4/5 - 4704*a**3/5 + 13968*a**2/5 + 47952*a/5 = 0.
-74, -2, 0, 6, 18
Factor -5*j**4 + 5550*j**3 - 1545665*j**2 + 3074700*j - 1534580.
-5*(j - 554)**2*(j - 1)**2
Solve -3*c**4 + 19191*c**3 + 38394*c**2 = 0.
-2, 0, 6399
Determine y so that -15*y**5 + 1128*y**4 + 3255*y**3 + 1644*y**2 - 468*y = 0.
-2, -1, 0, 1/5, 78
What is r in 3*r**2 - 165*r + 1242 = 0?
9, 46
Factor -2*d**2/7 + 634154*d/7 - 634152/7.
-2*(d - 317076)*(d - 1)/7
Factor 5*o**3 - 240*o**2 - 795*o + 26950.
5*(o - 49)*(o - 10)*(o + 11)
Suppose -2*k**2 + 3238*k + 838084 = 0. What is k?
-227, 1846
Factor 27*b**5 - 211*b**4 + 184*b**3.
b**3*(b - 1)*(27*b - 184)
Find r such that 4*r**2 + 47132*r + 141360 = 0.
-11780, -3
Factor -4*c**2 - 508*c - 2904.
-4*(c + 6)*(c + 121)
Suppose -m**3 + 61547*m**2 + 123101*m - 184647 = 0. Calculate m.
-3, 1, 61549
Factor 1681*f**4/6 + 23206*f**3/3 + 130043*f**2/3 - 138670*f + 180075/2.
(f + 15)**2*(41*f - 49)**2/6
Find r, given that 3*r**2 + 19692*r + 568545 = 0.
-6535, -29
Factor -2*k**3 + 419474*k**2 + 1677920*k + 1677928.
-2*(k - 209741)*(k + 2)**2
Factor -225*d**4/2 + 86145*d**3 - 32959069*d**2/2 - 4399138*d - 293378.
-(d - 383)**2*(15*d + 2)**2/2
Factor 605*n**3 - 130845*n**2 + 1417320*n - 3940100.
5*(n - 205)*(11*n - 62)**2
Determine l, given that -4*l**5 + 56*l**4 + 8480*l**