481 = 0.
-2, 29691
Solve -4*c**4 + 3684*c**3 - 875252*c**2 + 12363276*c - 11491704 = 0 for c.
1, 14, 453
Factor -5329*y**3 - 90885*y**2 - 428952*y - 343396.
-(y + 1)*(73*y + 586)**2
Factor -h**3/3 + 29*h**2 - 74*h/3 - 344.
-(h - 86)*(h - 4)*(h + 3)/3
Determine q so that -4*q**5/7 + 524*q**4/7 - 18176*q**3/7 + 66544*q**2/7 - 9216*q = 0.
0, 2, 63, 64
Solve -4*a**4/3 + 1444*a**3/3 - 128128*a**2/3 - 132496*a = 0.
-3, 0, 182
Factor -5*g**2 - 106590*g + 533075.
-5*(g - 5)*(g + 21323)
Solve -j**3/3 + 1286*j**2/3 - 17857*j/3 + 20776 = 0 for j.
7, 1272
Let l**4/8 - 33*l**3/8 - 17347*l**2/8 + 87297*l/8 - 52479/4 = 0. Calculate l.
-119, 2, 3, 147
Solve 3*r**3 - 311190*r**2 - 1867221*r - 2800872 = 0 for r.
-3, 103736
Find i, given that -2*i**3/5 + 418*i**2 + 236908*i/5 - 96432 = 0.
-105, 2, 1148
Find p such that -3*p**3 + 61818*p**2 - 318393600*p - 637034496 = 0.
-2, 10304
What is x in 4*x**3 - 1444*x**2 + 169120*x - 6350400 = 0?
81, 140
Find p such that 10*p**3/13 - 674*p**2/13 + 2814*p/13 - 2646/13 = 0.
7/5, 3, 63
Solve 2*n**5 + 760*n**4 - 7902*n**3 - 39916*n**2 - 53096*n - 21840 = 0 for n.
-390, -2, -1, 14
Determine z, given that -9*z**2 + 8270*z + 919 = 0.
-1/9, 919
Suppose -2*y**2/3 - 400*y/3 + 3256 = 0. What is y?
-222, 22
Factor -2*z**3/9 + 364*z**2/9 - 358*z/9 - 724/9.
-2*(z - 181)*(z - 2)*(z + 1)/9
Factor -b**3 + 90*b**2 - 743*b + 1134.
-(b - 81)*(b - 7)*(b - 2)
Factor -5*m**3 - 270*m**2 + 855*m.
-5*m*(m - 3)*(m + 57)
Factor -2*w**3/3 + 56*w**2/3 - 18*w.
-2*w*(w - 27)*(w - 1)/3
Factor q**5 - 291*q**4 + 574*q**3 + 1164*q**2 - 2312*q.
q*(q - 289)*(q - 2)**2*(q + 2)
Solve o**5 + 9*o**4 - 49*o**3 + 43*o**2 + 48*o - 52 = 0.
-13, -1, 1, 2
Find p, given that -3*p**3 + 648*p**2 + 74448*p + 1765632 = 0.
-44, 304
Determine p, given that -p**5/4 + 37*p**4/2 - 1893*p**3/4 + 4572*p**2 - 9936*p = 0.
0, 3, 23, 24
Let -4*r**4 - 1440*r**3 - 184032*r**2 - 9797760*r - 185177664 = 0. What is r?
-126, -54
Factor 225*z**4 - 1569090*z**3 + 2735394589*z**2 + 729522244*z + 48636676.
(z - 3487)**2*(15*z + 2)**2
Let 3*x**5 - 40662*x**4 - 122004*x**3 - 122010*x**2 - 40671*x = 0. Calculate x.
-1, 0, 13557
Find f such that -2*f**4/3 + 38*f**3/3 + 248*f**2 + 2752*f/3 + 2048/3 = 0.
-8, -4, -1, 32
Solve 5172*k**5 - 220780*k**4 + 359752*k**3 - 76376*k**2 - 69244*k + 1476 = 0.
-1/3, 9/431, 1, 41
Factor 3*n**3 + 7275*n**2 + 14541*n + 7269.
3*(n + 1)**2*(n + 2423)
Determine i so that 4*i**4/5 + 3508*i**3/5 - 2816*i**2 + 14096*i/5 = 0.
-881, 0, 2
Find y such that -286*y**5/9 + 1948*y**4/3 - 184*y**3 - 181072*y**2/9 - 28992*y - 4608 = 0.
-4, -18/13, -2/11, 8, 18
Factor 2*h**3/13 - 202*h**2 + 1059520*h/13 - 121049600/13.
2*(h - 560)**2*(h - 193)/13
Factor l**4 + 284*l**3 - 575*l**2 - 858*l.
l*(l - 3)*(l + 1)*(l + 286)
Factor 2*j**2/7 - 424*j + 23616/7.
2*(j - 1476)*(j - 8)/7
Factor 2*y**4/21 - 10*y**3/21 - 32*y**2/7 + 24*y.
2*y*(y - 6)**2*(y + 7)/21
Factor 1125*n**4 - 670350*n**3 - 89395*n**2 - 2980*n.
5*n*(n - 596)*(15*n + 1)**2
Suppose j**3/3 - 1544*j**2/3 - 515*j = 0. Calculate j.
-1, 0, 1545
Factor 5*w**2 + 1636830*w + 133960622445.
5*(w + 163683)**2
Determine p, given that 18*p**4 - 4883*p**3 + 6159*p**2 + 13760*p + 2700 = 0.
-1, -2/9, 5/2, 270
Factor -30*b**2 - 801*b/2 + 1269/4.
-3*(4*b - 3)*(10*b + 141)/4
Factor -2*t**3 - 175*t**2/3 + 3583*t/3 + 602/3.
-(t - 14)*(t + 43)*(6*t + 1)/3
Let -171587033729667*f**4 - 343160707104765*f**3 + 26720362377*f**2 - 693519*f + 6 = 0. What is f?
-2, 1/38529
Let -4*i**5/7 - 192*i**4/7 + 1520*i**3/7 - 1128*i**2/7 - 1516*i/7 + 1320/7 = 0. Calculate i.
-55, -1, 1, 6
Find k such that 40*k**2 + 435*k + 945 = 0.
-63/8, -3
Find j, given that -5*j**3/3 - 1520*j**2 - 29900*j - 446000/3 = 0.
-892, -10
Factor -3*g**3 + 11*g**2/2 + 12415*g/2 - 5175.
-(g - 46)*(g + 45)*(6*g - 5)/2
Solve 4*y**3 - 68*y**2 - 36*y + 612 = 0.
-3, 3, 17
Factor -3437442*o**3 + 3442686*o**2 - 5246*o + 2.
-2*(o - 1)*(1311*o - 1)**2
Factor -3*f**4 + 7413*f**3 + 1055430*f**2.
-3*f**2*(f - 2606)*(f + 135)
Factor 2*u**2 + 26434*u - 291016.
2*(u - 11)*(u + 13228)
Find d such that -2*d**2/19 + 8040*d/19 - 8038/19 = 0.
1, 4019
Suppose 2*c**3/15 - 14*c**2/3 + 168*c/5 + 192/5 = 0. What is c?
-1, 12, 24
Factor -i**5 - 766*i**4 + 1536*i**3 - 2*i**2 - 1535*i + 768.
-(i - 1)**3*(i + 1)*(i + 768)
Suppose 28*s**5/9 + 614*s**4/9 - 2840*s**3/9 + 3230*s**2/9 + 112*s/9 - 1144/9 = 0. Calculate s.
-26, -1/2, 1, 11/7, 2
Solve -2*l**3/5 - 194*l**2 + 9868*l/5 - 3168 = 0 for l.
-495, 2, 8
Determine b so that -14*b**5/9 + 166*b**4/9 + 4*b**3 - 16*b**2 = 0.
-1, 0, 6/7, 12
Let -3*k**5/2 - 2283*k**4/2 - 27771*k**3 - 125058*k**2 + 586740*k - 432768 = 0. Calculate k.
-736, -14, 1, 2
Determine p so that -5*p**2/3 + 2078320*p/3 - 215970701120/3 = 0.
207832
Factor -w**5 - 6027*w**4 - 12050*w**3 + 2*w**2 + 12051*w + 6025.
-(w - 1)*(w + 1)**3*(w + 6025)
Factor -39*d**2/4 - 8961*d/2 + 20184.
-3*(d + 464)*(13*d - 58)/4
Factor -5*n**2 + 1875*n - 51750.
-5*(n - 345)*(n - 30)
Factor -5*b**3/6 - 315*b**2/2 - 1400*b/3 - 310.
-5*(b + 1)*(b + 2)*(b + 186)/6
What is g in 2*g**2 + 677208*g + 57326334408 = 0?
-169302
Determine s so that -s**4 - 260*s**3 + 1317*s**2 - 2116*s + 1060 = 0.
-265, 1, 2
Factor 335405*z**4 + 1398600*z**3 + 1571960*z**2 + 237600*z + 9680.
5*(z + 2)**2*(259*z + 22)**2
Factor i**3/5 - 2*i**2/5 - 27*i + 396/5.
(i - 11)*(i - 3)*(i + 12)/5
What is y in 5*y**3 + 290*y**2 + 5280*y + 28800 = 0?
-24, -10
Determine i, given that -5*i**3 + 775*i**2 - 17640*i + 46080 = 0.
3, 24, 128
Suppose 2*p**4/3 + 4738*p**3/3 + 9470*p**2/3 + 1578*p = 0. What is p?
-2367, -1, 0
Factor -m**3/2 - 169*m**2/2 + 29841*m.
-m*(m - 174)*(m + 343)/2
Factor 2*a**3/13 + 100*a**2/13 + 122*a + 624.
2*(a + 13)**2*(a + 24)/13
Factor -10*z**2 + 3835*z + 192825.
-5*(z + 45)*(2*z - 857)
What is g in -2*g**5 + 62*g**4 + 2692*g**3 - 2812*g**2 - 2690*g + 2750 = 0?
-25, -1, 1, 55
Factor -2*w**2/11 + 7732*w/11 - 7472978/11.
-2*(w - 1933)**2/11
Factor -i**4/3 + 11*i**3/3 + 242*i**2/3.
-i**2*(i - 22)*(i + 11)/3
Suppose p**4/3 - 25*p**3 + 953*p**2/3 + 2617*p + 4290 = 0. What is p?
-3, 26, 55
Suppose 6*b**4/5 - 11*b**3 - 861*b**2/5 + 1063*b/5 - 153/5 = 0. What is b?
-9, 1/6, 1, 17
Factor c**2/8 + 537*c/2 - 5395/2.
(c - 10)*(c + 2158)/8
What is c in 5*c**2 - 655*c + 21420 = 0?
63, 68
Factor 2*a**4/5 + 14*a**3/5 - 12*a**2/5 - 144*a/5.
2*a*(a - 3)*(a + 4)*(a + 6)/5
Find l, given that l**4/3 - 1885*l**3 - 5657*l**2/3 + 1885*l + 5656/3 = 0.
-1, 1, 5656
Solve 5*s**2 - 3283470*s + 539058762045 = 0.
328347
What is a in 4*a**2 + 2397272*a + 359182065124 = 0?
-299659
Factor 4*m**2 + 558820*m + 1117624.
4*(m + 2)*(m + 139703)
Solve -2*f**3/11 + 177328*f**2/11 - 354650*f/11 + 177324/11 = 0.
1, 88662
Solve 5*f**3 - 670055*f**2 + 22449020175*f - 22448350125 = 0 for f.
1, 67005
Determine w, given that -3*w**4 + 763*w**3/5 + 117*w**2/5 - 763*w/5 - 102/5 = 0.
-1, -2/15, 1, 51
Determine u, given that 35*u**3 - 1250*u**2/3 - 1615*u - 150 = 0.
-3, -2/21, 15
Find o, given that 2*o**4/19 - 42*o**3/19 - 942*o**2/19 + 2002*o/19 - 1020/19 = 0.
-15, 1, 34
Suppose -2*p**3 - 113614*p**2 - 1613347190*p + 4841064150 = 0. What is p?
-28405, 3
Factor -3*c**3 + 1047*c**2 + 25668*c.
-3*c*(c - 372)*(c + 23)
Factor -5*j**2 - 770*j - 11645.
-5*(j + 17)*(j + 137)
Factor -4*o**4 + 29408*o**3 - 53727448*o**2 - 1192700256*o - 6579480996.
-4*(o - 3687)**2*(o + 11)**2
Let 4*c**5 - 1332*c**4 + 127992*c**3 - 3960320*c**2 + 10764672*c = 0. What is c?
0, 3, 68, 194
Solve -2*d**3/3 - 982*d**2/3 - 39010*d + 289338 = 0.
-249, 7
Find l, given that 2*l**4/3 + 56*l**3/3 + 394*l**2/3 + 196*l/3 - 816 = 0.
-17, -9, -4, 2
Factor -k**3/2 + 197*k**2/2 - 2432*k + 11154.
-(k - 169)*(k - 22)*(k - 6)/2
Factor -2*o**3 + 326*o**2 - 16480*o + 265600.
-2*(o - 83)*(o - 40)**2
Find y, given that -18*y**3 + 699*y**2 + 96324*y + 461895 = 0.
-53, -5, 581/6
Suppose -28*i**2 - 9284*i + 3984 = 0. What is i?
-332, 3/7
Factor -2*g**2/7 + 132*g - 59904/7.
-2*(g - 384)*(g - 78)/7
Factor -2*f**4/13 - 28978*f**3/13 - 57950*f**2/13 - 28974*f/13.
-2*f*(f + 1)**2*(f + 14487)/13
Factor 2*b**2/15 + 5222*b/5 + 15664/15.
2*(b + 1)*(b + 7832)/15
Determine b so that -3*b**2 + 1074*b + 15624 = 0.
-14, 372
Let -4*v**3 - 622*v**2 - 1530*v = 0. Calculate v.
-153, -5/2, 0
Let 154*h**4/9 + 17198*h**3/9 + 28460*h**2/9 + 8776*h/9 - 880/3 = 0. What i