, 1, 23
Factor 8*w**4/15 - 3794*w**3/5 - 2846*w**2/15.
2*w**2*(w - 1423)*(4*w + 1)/15
Let -20*t**5/3 + 436*t**4 - 560*t**3 - 7216*t**2/3 + 1024*t = 0. What is t?
-2, 0, 2/5, 3, 64
Solve -24*a**4 + 436*a**3/3 + 160*a**2 - 28*a/3 = 0.
-1, 0, 1/18, 7
Solve -2*o**3/17 + 164*o**2/17 - 3890*o/17 + 21648/17 = 0.
8, 33, 41
Factor -75*w**3 - 2184540*w**2 - 6989952*w - 5591808.
-3*(w + 29124)*(5*w + 8)**2
Factor 4*g**2 - 595748*g.
4*g*(g - 148937)
Factor -c**4 - 33*c**3 - 113*c**2 + 105*c + 522.
-(c - 2)*(c + 3)**2*(c + 29)
Factor -2*h**3/11 + 3836*h**2/11 + 510750*h/11.
-2*h*(h - 2043)*(h + 125)/11
Let -4*w**4/3 + 116*w**3/3 - 244*w**2 + 420*w = 0. Calculate w.
0, 3, 5, 21
Suppose 5*b**2 + 2150*b + 48720 = 0. What is b?
-406, -24
Suppose -255*j**3 + 81100*j**2 - 6449835*j + 252810 = 0. Calculate j.
2/51, 159
Factor -h**4 + 43*h**3 + 544*h**2 - 28900*h.
-h*(h - 34)**2*(h + 25)
Factor -2*z**3 + 14*z**2 + 388*z - 816.
-2*(z - 17)*(z - 2)*(z + 12)
Factor -507*z**5 + 8034*z**4 - 38340*z**3 + 48600*z**2.
-3*z**2*(z - 2)*(13*z - 90)**2
Solve 5*s**2 - 1625*s + 48180 = 0.
33, 292
Determine k so that -2*k**4/5 - 450*k**3 - 629428*k**2/5 + 1904064*k/5 - 1272384/5 = 0.
-564, 1, 2
Factor 5*l**2 + 3840*l - 204500.
5*(l - 50)*(l + 818)
Let -2*x**5/5 - 22*x**4 - 312*x**3/5 = 0. What is x?
-52, -3, 0
Determine d, given that -d**4 - 4582*d**3 + 9167*d**2 - 4584*d = 0.
-4584, 0, 1
Suppose -g**3/4 + 37*g**2/2 + 120*g = 0. What is g?
-6, 0, 80
Factor -3*x**2 - 1029*x + 3114.
-3*(x - 3)*(x + 346)
Factor 2*n**2 + 1180*n - 28198.
2*(n - 23)*(n + 613)
Factor s**4/8 + 29*s**3/4 + 129*s**2 + 2675*s/4 + 4375/8.
(s + 1)*(s + 7)*(s + 25)**2/8
Let 2*l**3/3 - 2732*l**2/3 + 64312*l/3 + 139568/3 = 0. What is l?
-2, 26, 1342
Factor 4*k**3 - 157612*k**2.
4*k**2*(k - 39403)
Solve -n**2 - 3137*n - 160420 = 0.
-3085, -52
Factor s**3/2 - 17703*s**2/2 - 354660*s - 3548600.
(s - 17743)*(s + 20)**2/2
Find y such that -2*y**4/11 + 1746*y**3/11 - 57052*y**2/11 = 0.
0, 34, 839
Determine q, given that -3*q**5/2 + 108*q**4 - 2448*q**3 + 12975*q**2 + 241875*q/2 - 421875 = 0.
-6, 3, 25
Solve -4*b**4/3 - 337*b**3 - 20736*b**2 + 212992*b/3 = 0 for b.
-128, 0, 13/4
Factor 3*j**3 + 30*j**2 - 396*j + 648.
3*(j - 6)*(j - 2)*(j + 18)
Let 5*w**3 + 885*w**2 + 14710*w + 63600 = 0. Calculate w.
-159, -10, -8
Let y**3/4 + 61*y**2/4 - 95*y/2 + 32 = 0. Calculate y.
-64, 1, 2
Factor t**2 - 1446*t + 83160.
(t - 1386)*(t - 60)
Factor -p**2/4 + 56245*p - 224979/4.
-(p - 224979)*(p - 1)/4
What is d in -3*d**2/5 - 261*d - 5172/5 = 0?
-431, -4
Suppose 2*g**3/5 + 224*g**2/5 - 746368*g/5 - 206524416/5 = 0. Calculate g.
-392, 672
Factor h**2 + 515*h - 22796.
(h - 41)*(h + 556)
Solve 12*m**4 + 49220*m**3 - 65644*m**2 + 16412*m = 0 for m.
-4103, 0, 1/3, 1
Let -t**5/2 - 353*t**4/2 - 10387*t**3/2 - 36999*t**2/2 - 13482*t = 0. What is t?
-321, -28, -3, -1, 0
Determine f so that 3*f**5 + 594*f**4 + 1164*f**3 - 2358*f**2 - 1167*f + 1764 = 0.
-196, -3, -1, 1
Let -3*o**5/2 + 21*o**4 - 93*o**3/2 - 51*o**2 + 210*o - 132 = 0. What is o?
-2, 1, 2, 11
Suppose -75*x**2 + 9095*x + 9170 = 0. Calculate x.
-1, 1834/15
Factor -3*d**4/2 - 135*d**3 + 25089*d**2/2 + 701190*d - 40466454.
-3*(d - 53)**2*(d + 98)**2/2
Find w, given that w**3 + 1291*w**2 - 20848*w + 83648 = 0.
-1307, 8
Determine w, given that -3*w**5/8 - 3*w**4/2 + 21*w**3/8 + 33*w**2/4 - 9*w = 0.
-4, -3, 0, 1, 2
Factor -2*j**3/7 + 326*j**2/7 - 3344*j/7.
-2*j*(j - 152)*(j - 11)/7
Find c such that -3*c**4/7 + 516*c**3/7 + 4887*c**2/7 = 0.
-9, 0, 181
Factor -2*b**3 + 3372*b**2 - 1421298*b.
-2*b*(b - 843)**2
Let 2*n**5/19 - 180*n**4/19 + 5104*n**3/19 - 47200*n**2/19 + 7008*n - 6080 = 0. What is n?
2, 10, 38
Factor 2*w**3/5 + 56*w**2/5 - 162*w + 1872/5.
2*(w - 8)*(w - 3)*(w + 39)/5
Factor -5*t**3 + 22460*t**2 - 44905*t + 22450.
-5*(t - 4490)*(t - 1)**2
Factor -2*l**2 - 1380396*l - 238186639602.
-2*(l + 345099)**2
Find n, given that -35*n**3 - 2225*n**2 - 7440*n + 3600 = 0.
-60, -4, 3/7
Factor -4*j**3 - 332*j**2 - 652*j - 324.
-4*(j + 1)**2*(j + 81)
Factor 2*k**3/19 - 86822*k**2/19 + 86820*k/19.
2*k*(k - 43410)*(k - 1)/19
Solve -b**2 - 278*b - 1632 = 0 for b.
-272, -6
Determine a, given that 35*a**3 - 32075*a**2 - 50520*a + 27540 = 0.
-2, 3/7, 918
Solve -2*b**5/9 + 10*b**4/3 + 58*b**3/9 - 514*b**2/3 + 1456*b/9 = 0.
-7, 0, 1, 8, 13
Factor n**3/6 - 725*n**2/2 + 25967*n/6 - 7931/2.
(n - 2163)*(n - 11)*(n - 1)/6
Solve -5*z**3 - 2050*z**2 - 21995*z - 19950 = 0.
-399, -10, -1
Determine u, given that u**4 - 863*u**3 + 1722*u**2 = 0.
0, 2, 861
Solve 2*v**3/9 + 356*v**2/9 - 18568*v/9 + 71632/3 = 0.
-222, 22
Suppose -4*c**3 + 676*c**2 + 16048*c - 16720 = 0. What is c?
-22, 1, 190
Factor -2*q**2 + 9674*q + 9676.
-2*(q - 4838)*(q + 1)
Factor 2*d**2 + 870*d - 23972.
2*(d - 26)*(d + 461)
Factor -24025*a**3/2 - 2042745*a**2 - 105408*a - 1360.
-(a + 170)*(155*a + 4)**2/2
Let -1562*d**2/7 + 1754*d/7 - 192/7 = 0. What is d?
96/781, 1
Factor 5*u**3 - 740*u**2 + 25645*u - 24910.
5*(u - 94)*(u - 53)*(u - 1)
Suppose -3*v**2/5 + 101304*v/5 + 101319 = 0. Calculate v.
-5, 33773
Solve 2*d**5 + 94*d**4 + 1066*d**3 + 434*d**2 - 5916*d = 0.
-29, -17, -3, 0, 2
Factor -g**4 + 367*g**3 + 9632*g**2 + 65712*g + 56448.
-(g - 392)*(g + 1)*(g + 12)**2
Factor 2*v**3/13 + 5988*v**2/13 + 190080*v/13 + 1516544/13.
2*(v + 16)**2*(v + 2962)/13
Determine x, given that 671*x**3 - 3445*x**2/3 + 1492*x/3 - 20 = 0.
30/671, 2/3, 1
Suppose 5*l**2 + 566720*l + 16058577920 = 0. What is l?
-56672
Let -3*a**4 + 10215*a**3/4 - 63309*a**2/4 - 55791*a/4 + 17745/4 = 0. What is a?
-1, 1/4, 7, 845
Suppose 255*s**4/4 - 11859*s**3/2 + 11736*s**2 - 11877*s/2 + 273/4 = 0. Calculate s.
1/85, 1, 91
Suppose -z**3 + 43908*z**2 - 481846365*z - 2892659094 = 0. Calculate z.
-6, 21957
Suppose 2*a**5/3 + 240*a**4 - 736*a**3/3 - 1676*a**2 + 9374*a/3 - 1444 = 0. What is a?
-361, -3, 1, 2
Let 5*v**4 + 311210*v**3 + 933600*v**2 + 933590*v + 311195 = 0. What is v?
-62239, -1
Factor v**3/3 + 550*v**2/3 - 138868*v/3 - 82953592/3.
(v - 382)*(v + 466)**2/3
Solve -3*n**4/4 + 123*n**3/2 - 183*n**2/4 - 1215*n = 0 for n.
-4, 0, 5, 81
Determine g so that -3*g**5 + 633*g**4/4 + 159*g**3/4 = 0.
-1/4, 0, 53
Determine f, given that -f**5 + 742*f**4 + 9804*f**3 + 8318*f**2 - 9803*f - 9060 = 0.
-12, -1, 1, 755
Factor p**2 - 1594*p + 77200.
(p - 1544)*(p - 50)
Solve 5*t**4 - 1405*t**3 + 36380*t**2 + 40620*t - 75600 = 0.
-2, 1, 30, 252
Factor -5*p**3 - 1285*p**2 + 3890*p - 2600.
-5*(p - 2)*(p - 1)*(p + 260)
Find g, given that -3*g**5 - 765*g**4 - 46002*g**3 + 354834*g**2 - 372171*g - 772245 = 0.
-131, -1, 3, 5
Factor h**3/3 - 131*h**2/3 - 3388*h/3 + 29792/3.
(h - 152)*(h - 7)*(h + 28)/3
Find v, given that -4*v**2 + 556*v + 26048 = 0.
-37, 176
Factor 2*q**2/19 + 72*q/19 + 550/19.
2*(q + 11)*(q + 25)/19
Solve -s**3/6 - 935*s**2/2 - 4204*s/3 - 934 = 0 for s.
-2802, -2, -1
Factor -2*c**2/5 + 395584*c/5 + 791176/5.
-2*(c - 197794)*(c + 2)/5
Solve 436*r**3/5 + 1056*r**2 + 5372*r/5 + 528/5 = 0.
-11, -1, -12/109
Factor 39*u**2 - 1680*u + 15876.
3*(u - 14)*(13*u - 378)
Factor y**3/5 - 2433*y**2/5 + 25839*y - 1734291/5.
(y - 2379)*(y - 27)**2/5
Let -1284*m**5 + 5132*m**4 - 2552*m**3 - 5144*m**2 + 3836*m + 12 = 0. What is m?
-1, -1/321, 1, 3
Determine p, given that -3*p**4 - 62028*p**3 - 62025*p**2 = 0.
-20675, -1, 0
Determine f, given that f**2/4 - 256877*f/2 + 65985793129/4 = 0.
256877
Let -20*r**3 + 3488*r**2 + 9180*r + 4248 = 0. Calculate r.
-2, -3/5, 177
Let u**5 - 178*u**4 + 4383*u**3 + 25362*u**2 + 31752*u = 0. What is u?
-3, -2, 0, 36, 147
Suppose 3*y**4 + 198*y**3 - 24081*y**2 - 902484*y + 62326092 = 0. Calculate y.
-86, 53
Find b, given that 3*b**2 + 1680*b + 5013 = 0.
-557, -3
Suppose b**4 + 58*b**3 - 975*b**2 + 2376*b = 0. What is b?
-72, 0, 3, 11
What is z in 5*z**4 + 54*z**3 - 31*z**2 - 216*z + 44 = 0?
-11, -2, 1/5, 2
Find c, given that 121*c**4/2 + 4257*c**3/2 - 9729*c**2 - 28512*c - 16848 = 0.
-39, -12/11, 6
Suppose 2*j**5 + 161*j**4 - 414*j**3 + 85*j**2 + 166*j = 0. What is j?
-83, -1/2, 0, 1, 2
Factor 3*f**2/2 - 27075*f + 244351875/2.
3*(f - 9025)**2/2
Factor -r**2/6 - 13256*r/3 - 87860768/3.
-(r + 13256)**2/6
Let -3*h**5 - 31242*h**4 + 156285*h**3 = 0. What is h?
-10419, 0, 5
Factor -5*a**4 - 7560*a**3 - 3356270*a**2 - 376934040*a - 12429599405.
-5*(a + 73)**2*(a + 683)