1
Let -3*f**3 + 6963*f**2 + 154275*f + 850509 = 0. What is f?
-11, 2343
Factor 4*q**4 + 4024*q**3 - 12096*q**2 + 12104*q - 4036.
4*(q - 1)**3*(q + 1009)
Let -w**4/3 - 52*w**3/3 + 118*w**2/3 + 38068*w/3 + 147033 = 0. What is w?
-31, -17, 27
Solve 3*p**5/2 - 51*p**4 - 465*p**3/2 + 23970*p**2 - 237234*p + 381216 = 0 for p.
-22, 2, 16, 19
Find q such that -3*q**3 - 12369*q**2 - 2037705*q - 85681275 = 0.
-3953, -85
Factor 4*b**2 - 1484*b + 92272.
4*(b - 292)*(b - 79)
Suppose -h**2/4 + 651*h/2 - 26901/4 = 0. Calculate h.
21, 1281
Suppose -3*x**3/7 - 402*x**2/7 - 12960*x/7 = 0. Calculate x.
-80, -54, 0
Find a such that -3*a**2 + 118854*a - 1177189443 = 0.
19809
Solve -n**3 + 3725*n**2 + 7457*n - 11181 = 0 for n.
-3, 1, 3727
What is i in -26*i**2/3 - 12244*i/3 + 314 = 0?
-471, 1/13
Suppose -5*d**3 + 4280*d**2 - 25225*d - 233750 = 0. Calculate d.
-5, 11, 850
Find c such that 3*c**4 + 48*c**3 + 207*c**2 - 30*c - 1200 = 0.
-8, -5, 2
Factor -y**3 + 504*y**2 + 1521*y.
-y*(y - 507)*(y + 3)
Factor -4*g**3 - 3582480*g**2 - 7164948*g - 3582472.
-4*(g + 1)**2*(g + 895618)
Factor -2*m**5/7 - 236*m**4/7 - 696*m**3/7 - 692*m**2/7 - 230*m/7.
-2*m*(m + 1)**3*(m + 115)/7
Solve 12*y**3/7 + 5510*y**2/7 - 84402*y/7 - 14220/7 = 0 for y.
-474, -1/6, 15
Suppose -r**3/5 - 1169*r**2/5 + 13006*r/5 + 6136 = 0. What is r?
-1180, -2, 13
Factor j**2 + 950*j + 29376.
(j + 32)*(j + 918)
Factor -77408*z**2 - 154828*z - 24.
-4*(z + 2)*(19352*z + 3)
Let 2*a**2/7 + 791628*a/7 + 78334361298/7 = 0. Calculate a.
-197907
Determine w so that 4*w**2/3 + 144728*w/3 + 144724/3 = 0.
-36181, -1
Factor -2*b**2/17 + 1228*b/17 + 60720/17.
-2*(b - 660)*(b + 46)/17
Find w, given that w**5/2 - 427*w**4/2 + 25491*w**3/2 - 501593*w**2/2 + 1449304*w - 1211040 = 0.
1, 8, 29, 360
What is b in -4*b**2/3 - 2344*b/3 - 11620/3 = 0?
-581, -5
Suppose 2523*k**5/4 - 38193*k**4/4 + 31584*k**3 - 31974*k**2 + 3972*k - 132 = 0. What is k?
2/29, 2, 11
Factor 26*y**2 + 36524*y - 8430.
2*(y + 1405)*(13*y - 3)
Find f such that -f**5/6 + f**4 + 19*f**3/2 - 143*f**2/3 - 56*f = 0.
-7, -1, 0, 6, 8
Find p, given that p**3/9 + 1534*p**2/9 + 68977*p/9 + 262384/3 = 0.
-1488, -23
Determine a, given that 12*a**2/11 + 1182*a/11 - 3030/11 = 0.
-101, 5/2
Factor -2*h**3/15 - 335232*h**2/5 - 42142685184*h/5.
-2*h*(h + 251424)**2/15
Solve -2*a**4 - 98338*a**3 - 1611792594*a**2 - 8807371735590*a - 17608297087476 = 0 for a.
-16389, -2
Factor 3*w**3/5 + 111*w**2 - 1560*w - 760500.
3*(w - 75)*(w + 130)**2/5
What is p in p**4/6 + 65*p**3/2 - 558*p**2 + 2954*p/3 = 0?
-211, 0, 2, 14
Solve -3948169*f**5/4 - 11836559*f**4/4 + 3954129*f**3 - 7951*f**2 + 4*f = 0.
-4, 0, 2/1987, 1
Solve d**3/7 + 1037*d**2/7 - 1044*d = 0.
-1044, 0, 7
Factor 5*q**4 + 495*q**3 - 4280*q**2.
5*q**2*(q - 8)*(q + 107)
Let n**5/2 - 27*n**4 - 479*n**3/2 - 528*n**2 + 50*n + 744 = 0. Calculate n.
-4, -3, -2, 1, 62
Factor r**3 - 546*r**2 + 61304*r.
r*(r - 388)*(r - 158)
Factor 3*l**2/4 + 8955*l/4 + 2238.
3*(l + 1)*(l + 2984)/4
Solve 2*u**3/13 + 19950*u**2/13 + 119644*u/13 + 159504/13 = 0.
-9969, -4, -2
Factor -4*u**3 - 80*u**2 + 976*u + 2240.
-4*(u - 10)*(u + 2)*(u + 28)
Factor 288*a**4 + 2562576*a**3 - 427102*a**2 + 17796*a.
2*a*(a + 8898)*(12*a - 1)**2
Factor 4*l**3/5 + 3236*l**2/5 - 18772*l - 97092/5.
4*(l - 29)*(l + 1)*(l + 837)/5
Suppose c**5 + 310*c**4 + 23388*c**3 - 100166*c**2 - 123245*c = 0. What is c?
-157, -1, 0, 5
Factor 2*x**2/7 - 992*x/7 + 2958/7.
2*(x - 493)*(x - 3)/7
Suppose 2*j**3/11 - 1928*j**2/11 - 9678*j/11 - 11628/11 = 0. What is j?
-3, -2, 969
Factor -o**3/2 + 1412*o**2 - 88254*o - 182160.
-(o - 2760)*(o - 66)*(o + 2)/2
Factor -55581*h**2 - 444642*h + 48.
-3*(h + 8)*(18527*h - 2)
Factor -2*i**2/5 + 178*i/5 - 3036/5.
-2*(i - 66)*(i - 23)/5
Factor -3*j**2 + 104880*j - 104877.
-3*(j - 34959)*(j - 1)
Factor 2*b**4 - 1708*b**3 + 3408*b**2.
2*b**2*(b - 852)*(b - 2)
Let -9*w**4/2 + 153*w**3/2 - 797*w**2/2 + 1215*w/2 - 161 = 0. Calculate w.
1/3, 2, 7, 23/3
Solve s**3/3 - 475*s**2 - 951*s - 1427/3 = 0 for s.
-1, 1427
Solve -v**5/2 - 112*v**4 - 15925*v**3/2 - 173901*v**2 = 0.
-91, -42, 0
Factor 4*c**2 - 864*c - 96228.
4*(c - 297)*(c + 81)
Let -c**4/5 + 632*c**3/5 - 2507*c**2/5 - 628*c = 0. Calculate c.
-1, 0, 5, 628
Solve -2*u**3 + 184*u**2 + 590*u - 1900 = 0 for u.
-5, 2, 95
Determine r, given that r**4/2 - 409*r**3 + 87216*r**2 - 1452800*r + 2560000 = 0.
2, 16, 400
Find j such that -j**3/3 + 16283*j**2/3 + j/3 - 16283/3 = 0.
-1, 1, 16283
Factor -4*x**2 + 1088*x - 71680.
-4*(x - 160)*(x - 112)
Let g**4/6 - 247*g**3/6 + 3514*g**2/3 + 3638*g/3 = 0. What is g?
-1, 0, 34, 214
Let -x**3/2 - 2767*x**2/2 - 956344*x + 957728 = 0. What is x?
-1384, 1
Determine y, given that 3*y**4 - 19662*y**3 + 32431743*y**2 - 706377012*y + 3872032428 = 0.
11, 3266
Let i**2/5 - 37183*i/5 - 148748/5 = 0. Calculate i.
-4, 37187
Factor 17179347*m**2 + 2555724*m + 95052.
3*(2393*m + 178)**2
Let -4*t**5 - 38*t**4 + 2430*t**3 - 20808*t**2 + 46008*t + 28512 = 0. What is t?
-33, -1/2, 6, 12
Suppose -4*v**2 - 2176*v - 10780 = 0. Calculate v.
-539, -5
Factor 5*b**3 - 3845*b**2 - 671080*b - 26598480.
5*(b - 921)*(b + 76)**2
Determine c so that -2*c**3/3 - 7576*c**2/3 + 15158*c/3 - 7580/3 = 0.
-3790, 1
Factor 2*v**4 + 2*v**3 - 164*v**2 - 560*v.
2*v*(v - 10)*(v + 4)*(v + 7)
Suppose -v**3 + 25*v**2 + 433*v + 407 = 0. Calculate v.
-11, -1, 37
Solve 5*p**2 + 2099275*p - 4198570 = 0 for p.
-419857, 2
Factor 12*r**2/17 - 2030*r/17 + 338/17.
2*(r - 169)*(6*r - 1)/17
Factor 3*q**4 + 432*q**3 + 14793*q**2 - 48348*q.
3*q*(q - 3)*(q + 68)*(q + 79)
Find r, given that 171*r**3/4 + 21669*r**2/4 - 6099*r/4 - 381/4 = 0.
-127, -1/19, 1/3
Suppose 3*f**4 + 108*f**3 + 27*f**2 - 21882*f - 43056 = 0. What is f?
-24, -23, -2, 13
Let -f**2/7 + 265*f/7 - 5346/7 = 0. What is f?
22, 243
Let -5041*i**3/2 + 7294398*i**2 - 410949*i/2 + 1447 = 0. What is i?
1/71, 2894
Factor 3*b**4 + 261*b**3 - 3429*b**2 + 13203*b - 16038.
3*(b - 6)*(b - 3)**2*(b + 99)
Factor 3*k**2/8 - 107079*k/4 + 3821970747/8.
3*(k - 35693)**2/8
Let -3364*p**2 - 3392*p - 28 = 0. What is p?
-1, -7/841
Determine r so that -674*r**4/17 - 1744*r**3 - 434378*r**2/17 - 2117940*r/17 + 25200/17 = 0.
-15, -14, 4/337
Let -d**4 - 1109*d**3 + 11159*d**2 - 34659*d + 33570 = 0. Calculate d.
-1119, 2, 3, 5
Determine c so that -8*c**4 + 2790*c**3 - 4844*c**2 - 4878*c + 6940 = 0.
-5/4, 1, 2, 347
Factor 4*s**4 - 252*s**3 + 4604*s**2 - 23940*s.
4*s*(s - 35)*(s - 19)*(s - 9)
Let -o**4/8 - 107*o**3/8 + 2339*o**2/8 - 7293*o/8 - 22869/4 = 0. Calculate o.
-126, -3, 11
Find y, given that y**5 - 71*y**4 - 558*y**3 + 868*y**2 + 5416*y - 8736 = 0.
-7, -4, 2, 78
What is c in -3*c**3 + 2031*c**2 - 4050*c = 0?
0, 2, 675
Find p, given that 4*p**2 + 227752*p + 3241935844 = 0.
-28469
Determine v, given that 6*v**5 + 52257*v**4 + 113822268*v**3 + 170615841*v**2 - 26124*v - 56871948 = 0.
-4354, -1, 1/2
Determine m so that 3*m**2/2 - 52441*m/4 + 2185 = 0.
1/6, 8740
Factor t**2/2 + 209*t/2 - 981.
(t - 9)*(t + 218)/2
Find y such that 2069*y**3/10 + 6213*y**2/10 + 9*y/5 = 0.
-3, -6/2069, 0
Determine c so that -c**5 + 476*c**4 + 4344*c**3 + 10166*c**2 + 9209*c + 2910 = 0.
-6, -1, 485
Find z such that 5*z**2 - 2302170*z + 264999335445 = 0.
230217
Factor w**2/7 - 2266*w/7 - 648.
(w - 2268)*(w + 2)/7
Let -2*k**3 - 546*k**2 - 21748*k + 45696 = 0. Calculate k.
-224, -51, 2
Let -2*z**4 - 1116*z**3 + 34048*z**2 + 1116*z - 34046 = 0. Calculate z.
-587, -1, 1, 29
Determine x so that x**2/7 - 378*x + 23733/7 = 0.
9, 2637
Suppose -2*k**4 + 574152*k**3 - 1722444*k**2 + 1722440*k - 574146 = 0. Calculate k.
1, 287073
Solve -b**5/6 - 89*b**4/6 + 277*b**3/6 + 89*b**2/6 - 46*b = 0.
-92, -1, 0, 1, 3
What is h in 5*h**3 + 2330*h**2 + 18400*h + 36640 = 0?
-458, -4
Factor -25*d**2 - 7005335*d - 2802130.
-5*(d + 280213)*(5*d + 2)
Factor -3*n**2/4 - 31683*n/2 - 95022.
-3*(n + 6)*(n + 21116)/4
Let d**5 + 13*d**4 + 34*d**3 - 48*d**2 = 0. What is d?
-8, -6, 0, 1
Factor 5*z**3/3 + 1480*z**2/3 - 12080*z/3 + 24320/3.
5*(z - 4)**2*(z + 304)/3
What is l in 2*l**5 + 592*l**4 + 572*l**3 - 5288*l**2 + 6482*l - 2360 = 0?
-295, -4, 1
Solve 2*c**2/17 + 9506*c + 161600/17 = 0 for c.
-80800, -1
Find c such that 5*c**3 + 1040*c**2 + 1025*c - 2070 = 0.
-207, -2, 1
Find t such that -t**2 - 169*t + 2960 = 0.
-185, 16
What is t in 3*t**3 + 