 = 0?
8771
Factor -3*b**3 + 53685*b**2 - 240146424*b - 240200112.
-3*(b - 8948)**2*(b + 1)
Let -3*a**3/7 - 9420*a**2/7 = 0. Calculate a.
-3140, 0
Solve 12*g**4 - 1324*g**3 - 18756*g**2 + 7276*g + 12792 = 0.
-13, -2/3, 1, 123
Solve 8427*n**4 - 5864556*n**3 + 22883292*n**2 + 1752096*n + 33216 = 0.
-2/53, 4, 692
Factor 121*g**3/2 + 47179*g**2/2 - 25788*g + 7038.
(g + 391)*(11*g - 6)**2/2
Suppose -o**4 + 186*o**3 - 361*o**2 - 1284*o - 736 = 0. What is o?
-1, 4, 184
Factor -a**2 + 4027*a.
-a*(a - 4027)
Factor -l**2 - 6496*l + 12996.
-(l - 2)*(l + 6498)
Factor 3*w**2 + 789*w - 13392.
3*(w - 16)*(w + 279)
Determine k, given that -2*k**5 + 66*k**4 + 500*k**3 - 1248*k**2 = 0.
-8, 0, 2, 39
Factor 4*g**3 + 98676*g**2 + 607719948*g - 10359776132.
4*(g - 17)*(g + 12343)**2
What is n in -3*n**4 - 15*n**3 + 669*n**2 + 4191*n - 10890 = 0?
-11, 2, 15
Determine y so that 2*y**5/3 + 2236*y**4/9 + 221650*y**3/9 + 2422828*y**2/9 - 394880*y + 100800 = 0.
-180, -14, 1/3, 1
Determine t so that 3*t**3/5 + 633*t**2/5 + 6057*t/5 + 5427/5 = 0.
-201, -9, -1
Find y, given that -560*y**4/11 - 5314*y**3/11 + 24320*y**2/11 - 16262*y/11 - 2184/11 = 0.
-13, -4/35, 1, 21/8
Factor -2*x**2/21 - 220*x/7 + 4176/7.
-2*(x - 18)*(x + 348)/21
Find x, given that 50*x**5 - 435*x**4/2 - 415*x**3/2 + 385*x**2/2 + 315*x/2 + 25 = 0.
-1, -2/5, -1/4, 1, 5
What is b in 5400976*b**3 + 5396328*b**2 - 4647*b + 1 = 0?
-1, 1/2324
Let -3*k**4 - 2313*k**3 + 4659*k**2 + 16245*k + 9276 = 0. What is k?
-773, -1, 4
Solve -3*l**3 + 312*l**2 = 0.
0, 104
Solve -m**4/8 - 2003*m**3/8 - 1001*m**2/4 = 0 for m.
-2002, -1, 0
Determine y, given that -2*y**3 - 1494*y**2/7 + 3480*y/7 - 872/7 = 0.
-109, 2/7, 2
Suppose 8*a**4 - 575*a**3 - 5025*a**2/4 - 130*a + 37 = 0. Calculate a.
-2, -1/4, 1/8, 74
Suppose 4*b**5/3 - b**4/3 - 122*b**3/3 - 397*b**2/3 - 476*b/3 - 196/3 = 0. What is b?
-2, -7/4, -1, 7
Factor -2*a**2/5 - 40586*a/5 + 162376/5.
-2*(a - 4)*(a + 20297)/5
Determine a so that 4*a**2 - 9040*a - 36224 = 0.
-4, 2264
Factor -2*c**2/9 + 165952*c/9 - 3442508288/9.
-2*(c - 41488)**2/9
Solve o**4/5 - 36*o**3/5 - 46*o**2/5 + 324*o/5 + 333/5 = 0.
-3, -1, 3, 37
Find c such that 5*c**5/2 + 885*c**4 - 8150*c**3 + 6465*c**2 + 81815*c/2 + 25410 = 0.
-363, -1, 4, 7
Factor 4*x**4/9 - 1302622*x**3/9 + 15711309904*x**2 - 568492800438912*x - 284250328065024.
2*(x - 108552)**3*(2*x + 1)/9
Determine j so that -j**5 - 1658*j**4 - 858816*j**3 - 142404768*j**2 - 7499589120*j - 14436403200 = 0.
-708, -120, -2
What is d in -2*d**5/5 + 11504*d**4/5 - 16565734*d**3/5 + 66067504*d**2/5 + 16565736*d/5 - 66079008/5 = 0?
-1, 1, 4, 2874
Factor x**2/4 + 7111*x/2 + 7110.
(x + 2)*(x + 14220)/4
Factor -5*w**4 + 34690*w**3 - 2172240*w**2 + 45524430*w - 318346875.
-5*(w - 6875)*(w - 21)**3
Let 2*w**5/3 - 28*w**4/3 - 2704*w**3 + 359252*w**2/3 - 4711282*w/3 + 3707128 = 0. Calculate w.
-76, 3, 29
Factor 5*t**3 + 760*t**2 + 7220*t + 17040.
5*(t + 4)*(t + 6)*(t + 142)
Factor -j**2/5 + 2434*j/5 - 1944.
-(j - 2430)*(j - 4)/5
Factor -2*k**2/3 + 11462*k/3 + 22948.
-2*(k - 5737)*(k + 6)/3
Suppose 3*q**5 - 153*q**4 + 1389*q**3 - 2727*q**2 - 1392*q + 2880 = 0. What is q?
-1, 1, 3, 8, 40
What is m in m**4 + 19100*m**3 + 91221598*m**2 + 182385900*m + 91183401 = 0?
-9549, -1
Factor k**5/6 - 119*k**4/6 + 1156*k**3/3 + 39304*k**2/3.
k**2*(k - 68)**2*(k + 17)/6
Solve 2*o**2 - 63096*o = 0.
0, 31548
Solve 2*g**3/7 - 202*g**2/7 + 4392*g/7 + 15048/7 = 0 for g.
-3, 38, 66
Let 2*i**3/11 + 570*i**2/11 + 4924*i/11 - 1104 = 0. Calculate i.
-276, -11, 2
Determine i so that 2*i**3 + 3818420*i**2 + 1822541412050*i = 0.
-954605, 0
Factor -2*r**4/5 + 286*r**3/5 - 8816*r**2/5 - 103968*r/5.
-2*r*(r - 76)**2*(r + 9)/5
Let 3*h**2 - 8044056*h + 5392236410928 = 0. What is h?
1340676
Suppose 5*s**4 + 810*s**3 - 38395*s**2 - 79200*s - 40000 = 0. What is s?
-200, -1, 40
Factor -4*q**2 + 144000*q + 432036.
-4*(q - 36003)*(q + 3)
Factor -28*u**2 - 217160*u + 62048.
-4*(u + 7756)*(7*u - 2)
Solve -l**4/3 + 47*l**3 + 15197*l**2/3 - 10271*l + 15476/3 = 0.
-73, 1, 212
Factor -2*d**2 + 64140*d - 514242450.
-2*(d - 16035)**2
Factor 3*s**3 - 255*s**2 + 1302*s + 9480.
3*(s - 79)*(s - 10)*(s + 4)
Suppose t**5/3 + 850*t**4/3 + 1129*t**3 + 846*t**2 = 0. What is t?
-846, -3, -1, 0
Solve 2*d**5/3 + 3340*d**4/3 - 4*d**3/3 - 6680*d**2/3 + 2*d/3 + 3340/3 = 0.
-1670, -1, 1
Solve -48*r**2/5 - 2833*r/5 - 59/5 = 0.
-59, -1/48
Determine k, given that k**5 - 11*k**4 - 19*k**3 + 83*k**2 + 18*k - 72 = 0.
-3, -1, 1, 2, 12
Factor -5*q**4 - 819200*q**3 - 33554432000*q**2.
-5*q**2*(q + 81920)**2
Determine w, given that -3*w**3 - 158423*w**2/2 - 522865210*w + 87146402 = 0.
-13202, 1/6
Let 5*t**3/3 - 43460*t**2 - 5*t/3 + 43460 = 0. What is t?
-1, 1, 26076
Determine o, given that -2*o**5/3 + 698*o**4/15 + 60*o**3 - 3428*o**2/15 + 1414*o/15 + 142/5 = 0.
-3, -1/5, 1, 71
Factor 5*h**5 + 33790*h**4 + 270080*h**3 + 540000*h**2.
5*h**2*(h + 4)**2*(h + 6750)
Factor a**4 + 190*a**3 - 667*a**2 - 16984*a.
a*(a - 11)*(a + 8)*(a + 193)
Factor 4*z**4 - 7788*z**3 + 46584*z**2.
4*z**2*(z - 1941)*(z - 6)
Suppose 14*l**5/11 - 18*l**4/11 - 486*l**3/11 + 938*l**2/11 + 1032*l/11 - 360/11 = 0. What is l?
-6, -1, 2/7, 3, 5
Factor -p**3 - 782*p**2 - 159676*p - 2626632.
-(p + 18)*(p + 382)**2
Factor 11*h**3/7 + 775*h**2/7 + 344*h/7 - 60.
(h + 1)*(h + 70)*(11*h - 6)/7
Determine q so that -5*q**3 - 245085*q**2 - 1470375*q - 2205495 = 0.
-49011, -3
Factor -d**3/5 - 404*d**2/5 + 828*d.
-d*(d - 10)*(d + 414)/5
Factor -2*c**4/7 - 4832*c**3/7 - 553356*c**2 - 1015754512*c/7 + 11648452838/7.
-2*(c - 11)*(c + 809)**3/7
Determine s, given that 2*s**2 + 10532*s = 0.
-5266, 0
Suppose h**4 + 14*h**3 + 53*h**2 + 76*h + 36 = 0. Calculate h.
-9, -2, -1
Factor 11435*z**2/4 - 3121765*z/4 + 1365/2.
5*(z - 273)*(2287*z - 2)/4
Solve -z**3/3 - 565*z**2/3 + 566*z/3 = 0 for z.
-566, 0, 1
Factor -2*a**3/5 - 2968*a**2/5 - 11848*a/5 - 2368.
-2*(a + 2)**2*(a + 1480)/5
Factor -203*n**3/6 - 5007*n**2 - 185222*n + 5476/3.
-(n + 74)**2*(203*n - 2)/6
Factor 4*l**4 + 3460*l**3 - 12*l**2 - 10388*l - 6920.
4*(l - 2)*(l + 1)**2*(l + 865)
Suppose 5*n**3 + 395*n**2 + 7995*n + 7605 = 0. What is n?
-39, -1
Factor 2*c**3/17 - 640*c**2/17.
2*c**2*(c - 320)/17
Find b, given that -4*b**4 - 46*b**3 - 33*b**2/4 + 713*b - 961 = 0.
-31/4, 2
Factor 3*o**3/5 + 10338*o**2/5.
3*o**2*(o + 3446)/5
Let t**5/2 - 38*t**4 + 1491*t**3/2 - 1306*t**2 - 746*t + 1344 = 0. Calculate t.
-1, 1, 2, 32, 42
Factor -l**3/4 - 6661*l**2/4 + 1666*l + 3331.
-(l - 2)*(l + 1)*(l + 6662)/4
Suppose 2*g**5/9 + 122*g**4/9 + 202*g**3/3 - 354*g**2 - 1248*g + 3960 = 0. What is g?
-55, -6, 3
Let -j**4/6 + 3307*j**3/6 - 13217*j**2/6 + 16517*j/6 - 1101 = 0. What is j?
1, 2, 3303
Find z such that -174*z**4/5 - 2092*z**3/5 - 6312*z**2/5 - 144*z/5 = 0.
-6, -2/87, 0
Find z such that -2*z**2/9 + 7324*z/3 - 21970/9 = 0.
1, 10985
Factor 3*u**2/4 - 69*u/4 - 2025/2.
3*(u - 50)*(u + 27)/4
Let 3*b**3/2 + 516*b**2 - 66357*b/2 - 104139 = 0. Calculate b.
-399, -3, 58
Factor 2*k**2/5 - 5798*k/5 - 1160.
2*(k - 2900)*(k + 1)/5
Factor 2*b**2/9 + 134996*b/9 - 134998/9.
2*(b - 1)*(b + 67499)/9
Factor -15612*u**2/5 + 78054*u/5 + 6.
-6*(u - 5)*(2602*u + 1)/5
Let -2*d**4 - 2130*d**3 - 2128*d**2 = 0. Calculate d.
-1064, -1, 0
Determine z so that -4*z**2 - 174152*z - 1895557444 = 0.
-21769
Factor l**2 - 110586*l + 3057315849.
(l - 55293)**2
Factor 4*g**2 + 976*g + 57420.
4*(g + 99)*(g + 145)
Factor -l**2 + 493*l + 11868.
-(l - 516)*(l + 23)
Suppose 3*v**5 - 1674*v**4 + 18141*v**3 - 49230*v**2 = 0. Calculate v.
0, 5, 6, 547
Find z such that -z**2/3 + 1537*z/3 - 34822/3 = 0.
23, 1514
Solve 3*a**2 - 381318*a + 12116951427 = 0 for a.
63553
Determine p, given that -240*p**3 + 29564*p**2 + 16814*p + 1980 = 0.
-2/5, -1/6, 495/4
Factor 3*q**4/7 + 9*q**3 + 24*q**2 + 108*q/7.
3*q*(q + 1)*(q + 2)*(q + 18)/7
Let -8*m**5 - 118*m**4 - 514*m**3 - 536*m**2 + 168*m = 0. What is m?
-7, -6, -2, 0, 1/4
Determine b so that -2*b**4 + 3704858*b**3/7 - 245107980300*b**2/7 + 175074180032*b/7 + 70030095424/7 = 0.
-2/7, 1, 132316
Determine l so that -l**5/6 + 22*l**4 - 1121*l**3/3 - 24188*l**2 - 666997*l/6 - 87374 = 0.
-21, -4, -1, 79
What is z in z**5 + 174*z**4 + 7214*z**3 - 30796*z**2 + 39249*z - 15842 = 0?
-89, 1, 2
Determine p so that 3*p**4/2 - 45357*p**3 + 685661763*p**2/2 +