- 16)
Let -t**3 + 256*t**2 - 10553*t + 20090 = 0. Calculate t.
2, 49, 205
What is r in r**2/4 + 467*r/4 - 6409/2 = 0?
-493, 26
Let -35*q**2 - 62835*q - 17950 = 0. Calculate q.
-1795, -2/7
Determine t so that -2*t**3 + 17188*t**2 + 86002*t - 103188 = 0.
-6, 1, 8599
Factor 5*w**2 - 380750*w - 1142295.
5*(w - 76153)*(w + 3)
Find w, given that -4*w**3 + 588*w**2 + 6280*w = 0.
-10, 0, 157
Factor 2*g**3/3 + 3370*g**2/3 + 3364*g/3 - 6736/3.
2*(g - 1)*(g + 2)*(g + 1684)/3
What is q in -418*q**4/13 + 160*q**3/13 + 1074*q**2/13 + 536*q/13 + 40/13 = 0?
-1, -10/19, -1/11, 2
Suppose 4*i**3/9 - 14224*i**2/3 + 37878448*i/3 + 911815808/9 = 0. What is i?
-8, 5338
What is d in -186*d**4 + 847*d**3/4 + 299*d**2 + 187*d/4 - 15/2 = 0?
-5/8, -1/3, 3/31, 2
Solve k**4 - 25929*k**3 + 224104347*k**2 - 645644623707*k = 0 for k.
0, 8643
Solve 4*l**5/3 + 968*l**4/3 - 36820*l**3/3 + 196360*l**2/3 - 115328*l + 61824 = 0.
-276, 1, 2, 3, 28
Solve -p**4/4 + 416047*p**3/4 - 21637200309*p**2/2 + 32455072385*p - 21636576242 = 0.
1, 2, 208022
Factor 4*l**3 - 266836*l**2 + 4449690400*l + 13351472832.
4*(l - 33356)**2*(l + 3)
Find u such that 6075*u**4 + 2608740*u**3 + 279017292*u**2 - 224467584*u + 44977152 = 0.
-1936/9, 2/5
Factor -3*h**3 + 27*h**2 + 2235*h + 17325.
-3*(h - 35)*(h + 11)*(h + 15)
Determine a so that -a**5 + 137*a**4/2 - 1768*a**3 + 20519*a**2 - 93347*a + 83521/2 = 0.
1/2, 17
Let 2*s**2/3 - 733108*s = 0. Calculate s.
0, 1099662
What is o in -2*o**3 + 16794*o**2 - 35162256*o - 388819552 = 0?
-11, 4204
Suppose f**5/5 + 116*f**4/5 - 197*f**3 + 904*f**2/5 + 4428*f/5 - 4464/5 = 0. Calculate f.
-124, -2, 1, 3, 6
Determine j so that 2*j**3/11 + 60*j**2/11 + 472*j/11 + 720/11 = 0.
-18, -10, -2
Determine d, given that -d**3 + 6678*d**2 - 26700*d + 26696 = 0.
2, 6674
Find g such that 2*g**4/9 + 10*g**3/9 - 224*g**2/9 + 392*g/9 = 0.
-14, 0, 2, 7
Let p**2/3 - 3142*p/3 + 6280/3 = 0. What is p?
2, 3140
Factor 4*z**3 - 1060*z**2 + 25808*z - 24752.
4*(z - 238)*(z - 26)*(z - 1)
Determine w, given that -42*w**3 + 1930*w**2 + 23612*w + 1120 = 0.
-10, -1/21, 56
Find c such that -4*c**3 + 40128*c**2 - 102928080*c + 11405938496 = 0.
116, 4958
Factor -v**3 - 269*v**2 - 15587*v + 347633.
-(v - 17)*(v + 143)**2
What is u in 5*u**4 + 120*u**3 + 200*u**2 - 480*u - 880 = 0?
-22, -2, 2
Determine v, given that 2*v**3 - 15282*v**2 + 15276*v + 30560 = 0.
-1, 2, 7640
Factor -c**2/2 + 108875*c - 217749/2.
-(c - 217749)*(c - 1)/2
Solve 2*i**2/5 - 1070718*i/5 = 0 for i.
0, 535359
Factor 2*k**2/7 - 12210*k/7 - 12212/7.
2*(k - 6106)*(k + 1)/7
Let 3*k**4 - 842052*k**3 + 78782946480*k**2 - 2456924966679792*k - 4914165071881968 = 0. What is k?
-2, 93562
Suppose 448*o**5 + 12512*o**4 + 72132*o**3/7 - 24976*o**2 + 12196*o/7 - 216/7 = 0. Calculate o.
-27, -2, 1/28, 1
Solve 2*g**4 - 284*g**3 + 5952*g**2 - 33984*g = 0.
0, 12, 118
Factor 140*y**4 + 649608*y**3 + 37120*y**2.
4*y**2*(y + 4640)*(35*y + 2)
Determine c so that 3*c**3/8 - 8979*c**2/8 + 49245*c/4 - 31311 = 0.
4, 7, 2982
Determine n, given that -7*n**3/3 - 33*n**2 - 224*n/3 + 300 = 0.
-9, -50/7, 2
Determine k, given that -5*k**2 + 45090*k - 90160 = 0.
2, 9016
Determine k so that -2*k**2/15 + 55034*k/5 + 1320944/15 = 0.
-8, 82559
Factor v**3/5 + 234152*v**2/5 - v/5 - 234152/5.
(v - 1)*(v + 1)*(v + 234152)/5
What is d in -2*d**4/5 - 8*d**3/5 + 62*d**2/5 + 188*d/5 - 48 = 0?
-6, -4, 1, 5
Factor -4*o**2 + 492*o - 5328.
-4*(o - 111)*(o - 12)
Let -3*z**4/5 + 222*z**3/5 + 6513*z**2/5 + 3492*z = 0. What is z?
-20, -3, 0, 97
Factor 5*y**2 + 161070*y + 1297177245.
5*(y + 16107)**2
Factor 2*x**2/17 - 17152*x/17 + 495726/17.
2*(x - 8547)*(x - 29)/17
Solve 3200*l**3/3 + 2*l**2/3 - 3200*l/3 - 2/3 = 0.
-1, -1/1600, 1
Factor -4*t**2 + 1764*t - 10440.
-4*(t - 435)*(t - 6)
Factor 4*q**2 - 152*q - 330332.
4*(q - 307)*(q + 269)
Suppose -a**5 - 976*a**4 - 251191*a**3 - 6263436*a**2 + 6515604*a = 0. What is a?
-474, -29, 0, 1
Factor 5*w**3 - 10875*w**2 - 307940*w - 1057440.
5*(w - 2203)*(w + 4)*(w + 24)
Determine j so that -36*j**2/5 + 387244*j/5 + 86056/5 = 0.
-2/9, 10757
Factor -2*k**2/9 + 3956*k/3 + 47504/9.
-2*(k - 5938)*(k + 4)/9
Factor 4*f**4 - 124*f**3 - 152*f**2 + 768*f.
4*f*(f - 32)*(f - 2)*(f + 3)
Factor -4*p**3 + 64877*p**2 - 16219*p.
-p*(p - 16219)*(4*p - 1)
What is l in l**5/12 - 21*l**4/2 + 2105*l**3/6 - 1250*l**2 + 2989*l/12 + 3721/2 = 0?
-1, 2, 3, 61
Solve m**3/4 + 2749*m**2/4 + 472656*m + 471969 = 0.
-1374, -1
Find y, given that -15*y**5 + 816*y**4 - 9084*y**3 + 2694*y**2 + 9099*y - 3510 = 0.
-1, 2/5, 1, 15, 39
Let u**5 - 528*u**4 + 2069*u**3 + 14110*u**2 + 19896*u + 8384 = 0. What is u?
-2, -1, 8, 524
Determine j so that -5*j**2 - 2548240*j + 2548245 = 0.
-509649, 1
Suppose -5*t**2 + 636910*t - 20282717405 = 0. What is t?
63691
Factor 4*u**2 - 10828*u + 32448.
4*(u - 2704)*(u - 3)
Suppose -m**2 + 4676*m - 28020 = 0. What is m?
6, 4670
Let -s**2 - 112736*s = 0. Calculate s.
-112736, 0
Factor 3*x**2 - 258876*x.
3*x*(x - 86292)
Solve 188*z**2 - 1704*z - 1760 = 0 for z.
-44/47, 10
Find g such that 2*g**3 - 376*g**2 - 11704*g - 84672 = 0.
-14, 216
Factor 4*q**2 + 3484*q - 367080.
4*(q - 95)*(q + 966)
Find s, given that -2*s**2 + 11048*s - 33126 = 0.
3, 5521
Factor m**3/11 + 133145*m**2/11 + 266286*m/11.
m*(m + 2)*(m + 133143)/11
Solve 3*p**2/2 - 6668*p/3 - 494 = 0.
-2/9, 1482
Factor 2*w**3/9 + 58*w**2/9 - 122*w/9 + 62/9.
2*(w - 1)**2*(w + 31)/9
Determine v so that -20*v**5 - 245*v**4 + 1575*v**3 - 775*v**2 - 1555*v + 1020 = 0.
-17, -1, 3/4, 1, 4
Determine z, given that 2*z**5 + 2380*z**4 + 705658*z**3 - 1428016*z**2 - 2131296*z = 0.
-596, -1, 0, 3
Solve -x**2/9 - 233728*x/9 - 13657194496/9 = 0 for x.
-116864
Find p, given that 207*p**3 + 11100*p**2 + 146691*p - 56862 = 0.
-27, 26/69
Factor -2*x**2/5 + 60044*x/5 - 450660242/5.
-2*(x - 15011)**2/5
Factor 3*y**2 + 178584*y + 2657687088.
3*(y + 29764)**2
Suppose -5*v**4 + 145*v**3 + 1080*v**2 - 8020*v + 6800 = 0. Calculate v.
-10, 1, 4, 34
Suppose 4*w**3/7 + 50*w**2 + 3338*w/7 + 1144 = 0. Calculate w.
-77, -13/2, -4
Factor k**4 + 63*k**3 + 816*k**2 - 880*k.
k*(k - 1)*(k + 20)*(k + 44)
Find f, given that -f**2 + 27872*f - 194212096 = 0.
13936
Factor -2*a**2/9 + 124*a/9 + 142.
-2*(a - 71)*(a + 9)/9
Determine b, given that -b**2/5 - 2446*b + 36699/5 = 0.
-12233, 3
Determine p, given that -p**3/3 + 37*p**2 - 1160*p/3 - 924 = 0.
-2, 14, 99
Suppose o**3/3 - 35*o**2/3 + 58*o = 0. What is o?
0, 6, 29
Factor 2*n**2 - 1852*n - 55390.
2*(n - 955)*(n + 29)
Factor 2*l**2 + 197536*l + 4877558912.
2*(l + 49384)**2
What is l in l**5/4 - 6977*l**4/4 + 12046683*l**3/4 + 429751489*l**2/4 + 205833754*l + 101409297 = 0?
-33, -1, 3506
Find w such that 16*w**5 - 6940*w**4 + 671432*w**3 + 17583844*w**2 + 104994912*w + 25160256 = 0.
-11, -1/4, 228
Factor -2*x**2/17 - 31404*x/17 - 123276402/17.
-2*(x + 7851)**2/17
Let -2*i**4/9 - 38*i**3/9 + 404*i**2/3 + 6688*i/9 + 5440/9 = 0. Calculate i.
-34, -4, -1, 20
Solve z**5/3 + 1013*z**4 - 21305*z**3/3 + 17255*z**2 - 51776*z/3 + 6092 = 0 for z.
-3046, 1, 2, 3
Find z, given that -2*z**4/13 - 155778*z**3/13 - 4044464214*z**2/13 - 35002141462694*z/13 = 0.
-25963, 0
Factor -5*y**2/7 - 226*y/7 - 221/7.
-(y + 1)*(5*y + 221)/7
Factor -2*b**3/11 - 800*b**2/11 - 9656*b - 4678048/11.
-2*(b + 116)*(b + 142)**2/11
Factor 3*w**3 - 2076*w**2 + 120381*w + 122460.
3*(w - 628)*(w - 65)*(w + 1)
Find b such that 4*b**5/5 + 27086*b**4/5 + 175934*b**3/5 + 297676*b**2/5 + 21648*b = 0.
-6765, -4, -2, -1/2, 0
What is n in -33*n**4 - 323208*n**3 - 704772*n**2 + 2467632*n + 470016 = 0?
-9792, -4, -2/11, 2
Let d**5/3 + 25*d**4/3 + 61*d**3/3 - 113*d**2/3 - 62*d/3 + 88/3 = 0. Calculate d.
-22, -4, -1, 1
Suppose -s**3 - 6039*s**2 - 30170*s = 0. Calculate s.
-6034, -5, 0
Factor -2*j**3/5 + 76*j**2/5 + 5566*j/5 + 3192.
-2*(j - 76)*(j + 3)*(j + 35)/5
Suppose w**4 + 211*w**3 - 5235*w**2/4 - 1404*w + 52731/4 = 0. Calculate w.
-217, -3, 9/2
Find j, given that 3*j**2/4 + 5937*j/4 + 2967/2 = 0.
-1978, -1
Solve -2695*j**5 + 32375*j**4 + 172215*j**3 - 4115*j**2 - 9740*j + 960 = 0.
-4, -3/11, 1/7, 16
Factor -5*h**3 - 2775*h**2 + 232560*h + 217235520.
-5*(h - 261)*(h + 408)**2
Factor -2*k**2/7 + 3730*k/7 - 3728/7.
-2*(k - 1864)*(k - 1)/7
Solve -2*m**3 + 226030*m**2 + 452074*m - 678102 = 0 for m.
-3, 1, 113017
Factor -9*u**2 + 265*u/2 - 