
44, 1010
Suppose 2*p**2/9 + 2146*p/9 + 14924/9 = 0. What is p?
-1066, -7
Factor -2*m**2/7 - 4038*m/7 - 295336/7.
-2*(m + 76)*(m + 1943)/7
Let -5*f**4 - 326340*f**3 + 326385*f**2 + 2610700*f - 3916140 = 0. What is f?
-65269, -3, 2
Find g, given that 2*g**5 + 2933*g**4 + 4395*g**3 - g**2 - 1465*g = 0.
-1465, -1, 0, 1/2
Find n, given that 4*n**4 + 16*n**3 - 108*n**2 - 360*n = 0.
-6, -3, 0, 5
Find q such that -8*q**5/11 - 11512*q**4/11 - 34434*q**3/11 + 43072*q**2/11 - 11488*q/11 = 0.
-1436, -4, 0, 1/2
Factor o**4/6 + 120*o**3 + 30948*o**2 + 3365280*o + 131077656.
(o + 114)**2*(o + 246)**2/6
Factor -n**4/11 - 25*n**3/11 - 188*n**2/11 - 416*n/11.
-n*(n + 4)*(n + 8)*(n + 13)/11
Solve 2*c**4 - 12528*c**3 + 19681316*c**2 - 195424992*c - 215118838 = 0 for c.
-1, 11, 3127
Factor 8*m**3 - 1655*m**2 - 216*m + 1863.
(m - 207)*(m - 1)*(8*m + 9)
Determine s, given that 45*s**5 - 237*s**4 + 15*s**3 + 789*s**2 + 252*s = 0.
-7/5, -1/3, 0, 3, 4
Let -16*l**3/7 + 724*l**2/7 + 1512*l + 7524/7 = 0. What is l?
-11, -3/4, 57
Find y such that 3*y**2 + 4041*y - 40710 = 0.
-1357, 10
Determine s so that 2*s**5/25 + 376*s**4/25 + 294*s**3/5 - 376*s**2/25 - 1472*s/25 = 0.
-184, -4, -1, 0, 1
Determine c so that 2*c**5 + 94*c**4/7 - 24*c**3 - 184*c**2/7 + 64*c/7 = 0.
-8, -1, 0, 2/7, 2
Factor -f**5 - 89*f**4 - 248*f**3 + 860*f**2.
-f**2*(f - 2)*(f + 5)*(f + 86)
Factor h**3/3 + 23318*h**2/3 + 93260*h/3 + 93256/3.
(h + 2)**2*(h + 23314)/3
Suppose 3*u**5 + 99*u**4 + 438*u**3 + 492*u**2 - 360*u - 672 = 0. What is u?
-28, -2, 1
Solve 6*g**3 + 202*g**2/3 + 680*g/3 + 232 = 0.
-6, -29/9, -2
Suppose -3*l**2/4 + 669*l/4 + 7215 = 0. Calculate l.
-37, 260
Factor -5*s**2 + 6080*s + 1162560.
-5*(s - 1384)*(s + 168)
What is n in -2*n**2/5 - 86984*n/5 - 945777032/5 = 0?
-21746
Find n such that n**3/2 - 2645*n**2/2 + 877800*n - 4356000 = 0.
5, 1320
Determine h so that 4*h**2 - 27784*h - 55584 = 0.
-2, 6948
Find h such that 2*h**5 - 18*h**4 + 62*h**3 - 102*h**2 + 80*h - 24 = 0.
1, 2, 3
Suppose 7*t**2 + 24552*t + 150700176/7 = 0. What is t?
-12276/7
Let -r**5/2 - 43*r**4 + 323*r**3 - 236*r**2 - 645*r/2 + 279 = 0. Calculate r.
-93, -1, 1, 6
What is y in 2*y**2/15 - 10918*y/5 + 13100/3 = 0?
2, 16375
Suppose -a**2/6 - 133315*a - 53318667675/2 = 0. Calculate a.
-399945
Solve 16983*b**2 + 3918*b + 32 = 0.
-2/9, -16/1887
Find p such that 6*p**5/19 + 400*p**4/19 - 1670*p**3/19 - 18520*p**2/19 + 26504*p/19 - 6720/19 = 0.
-70, -6, 1/3, 1, 8
Factor 3*y**4 + 825*y**3 + 59514*y**2 + 381900*y + 323208.
3*(y + 1)*(y + 6)*(y + 134)**2
Factor 3*d**3 - 4893*d**2 - 4896*d.
3*d*(d - 1632)*(d + 1)
Let f**3 - 4428*f**2 - 22165*f = 0. Calculate f.
-5, 0, 4433
Suppose -2*x**4 - 1630*x**3 = 0. Calculate x.
-815, 0
Determine d so that -5*d**2 - 641265*d - 641260 = 0.
-128252, -1
Solve -6*l**5 - 238161*l**4 - 357195*l**3 + 1309854*l**2 + 714456*l = 0 for l.
-39692, -3, -1/2, 0, 2
Solve -m**4/5 - 727*m**3/5 + 1462*m**2/5 + 2908*m/5 - 5832/5 = 0.
-729, -2, 2
Suppose 3*m**2 - 6482676*m + 3502090676748 = 0. Calculate m.
1080446
Factor -g**2/2 - 111*g/2 - 1537.
-(g + 53)*(g + 58)/2
Suppose 31856*b**2/5 + 6*b/5 = 0. What is b?
-3/15928, 0
Let -2*d**3 - 404*d**2 - 5264*d = 0. Calculate d.
-188, -14, 0
Factor -7*a**2/9 - 21211*a/9 - 1010/3.
-(a + 3030)*(7*a + 1)/9
Factor 4*z**2 - 45324*z + 1626480.
4*(z - 11295)*(z - 36)
Let -15*m**4 - 897*m**3 - 9000*m**2 + 23916*m - 4416 = 0. What is m?
-46, -16, 1/5, 2
Suppose 2*a**3/9 - 308*a**2 - 3704*a/3 - 11120/9 = 0. What is a?
-2, 1390
Let -2*w**5/11 - 588*w**4/11 + 3018*w**3/11 + 8372*w**2/11 = 0. What is w?
-299, -2, 0, 7
Factor 856*s**2/9 + 11126*s/3 - 26.
2*(s + 39)*(428*s - 3)/9
Find j, given that -254*j**3/3 - 417574*j**2/3 + 839456*j/3 - 6584/3 = 0.
-1646, 1/127, 2
Factor -i**3/6 - 10915*i**2/6 - 9929921*i/2 - 9926283/2.
-(i + 1)*(i + 5457)**2/6
Factor d**4/4 + 2003*d**3/4 - 2509*d**2 + 2008*d.
d*(d - 4)*(d - 1)*(d + 2008)/4
Solve 3*x**4/4 - 462*x**3 + 293607*x**2/4 - 1377135*x/2 = 0.
0, 10, 303
Solve -2*g**3 + 854*g**2 - 63536*g + 1312608 = 0.
44, 339
Determine z so that z**5 - 2*z**4 - 73*z**3 - 70*z**2 = 0.
-7, -1, 0, 10
Determine a, given that -a**3/2 - 1887*a**2/2 - 566124*a - 109694182 = 0.
-899, -494
Suppose -4*d**5/5 + 202*d**4/5 - 564*d**3 + 1960*d**2 - 10136*d/5 + 2958/5 = 0. What is d?
1/2, 1, 3, 17, 29
Solve 2*x**2/19 + 1742*x/19 - 12292/19 = 0 for x.
-878, 7
Suppose -425*a**2 + 8370*a - 5605 = 0. What is a?
59/85, 19
Factor -5*p**4 - 11640*p**3 - 6786110*p**2 - 13537320*p - 6762845.
-5*(p + 1)**2*(p + 1163)**2
Solve 4*r**5 + 16*r**4 + 8*r**3 - 16*r**2 - 12*r = 0.
-3, -1, 0, 1
Find r such that r**3/4 + 26257*r**2/4 + 43079530*r - 129297675 = 0.
-13130, 3
Suppose -1690*i**5 - 104702*i**4 + 197876*i**3 - 75524*i**2 - 15322*i - 638 = 0. Calculate i.
-319/5, -1/13, 1
Let -4*s**4 + 2080*s**3 + 28*s**2 - 14536*s - 12480 = 0. What is s?
-2, -1, 3, 520
Determine z, given that 78*z**3 - 13178*z**2 + 111644*z + 5760 = 0.
-2/39, 9, 160
Suppose 90*d**3 - 90831*d**2 + 21186*d + 3027 = 0. What is d?
-1/10, 1/3, 1009
Solve p**4 - 455*p**3 + 49151*p**2 + 602771*p - 651468 = 0.
-12, 1, 233
Factor 10*g**2 + 2276*g - 912.
2*(g + 228)*(5*g - 2)
Find w such that -4*w**3/7 - 2336*w**2/7 - 244596*w/7 + 4277160 = 0.
-327, 70
Let v**3 - 222*v**2 + 4637*v - 11940 = 0. Calculate v.
3, 20, 199
Factor 4*v**4 - 12992*v**3 + 11723008*v**2 - 1905770496*v + 86069477376.
4*(v - 1528)**2*(v - 96)**2
Suppose 5*n**4/2 + 7725*n**3/2 - 85405*n**2/2 + 272175*n/2 - 97250 = 0. Calculate n.
-1556, 1, 5
Factor c**2/2 - 299*c + 36636.
(c - 426)*(c - 172)/2
Factor 2*b**4/19 + 510688*b**3/19 - 1021382*b**2/19 + 510692*b/19.
2*b*(b - 1)**2*(b + 255346)/19
Factor -4*i**4 - 380*i**3 - 9016*i**2.
-4*i**2*(i + 46)*(i + 49)
Factor l**5/6 + 137*l**4/6 + 1507*l**3/2 + 59371*l**2/6 + 156325*l/3 + 70304.
(l + 2)*(l + 13)**3*(l + 96)/6
Let 2*f**3/7 + 42*f**2 + 1980*f/7 + 400 = 0. Calculate f.
-140, -5, -2
Factor -2*l**3/13 - 16136*l**2/13.
-2*l**2*(l + 8068)/13
Factor -p**3/4 + 8767*p**2/4 - 19201915*p/4 - 57684675/4.
-(p - 4385)**2*(p + 3)/4
Determine a so that 100*a**5 - 14720*a**4 - 26724*a**3 - 14288*a**2 - 2384*a = 0.
-1, -2/5, 0, 149
Find d such that -d**5 - 298*d**4 + 314*d**3 + 4508*d**2 + 6887*d + 2990 = 0.
-299, -2, -1, 5
Find b, given that 3*b**2/7 - 4261*b/7 + 8510/7 = 0.
2, 4255/3
Find z such that -7*z**3 + 130*z**2 - 433*z - 570 = 0.
-1, 6, 95/7
Factor r**3 - 68056*r**2 + 136109*r - 68054.
(r - 68054)*(r - 1)**2
Let -2*g**3/9 + 512*g**2/9 - 42458*g/9 + 383116/3 = 0. Calculate g.
71, 114
Factor -p**2/7 + 19144*p + 134009/7.
-(p - 134009)*(p + 1)/7
Solve 6*w**4/7 - 11538*w**3/7 + 126192*w**2/7 = 0.
0, 11, 1912
What is l in -l**3/5 - 1282*l**2/5 + 2847*l + 15516/5 = 0?
-1293, -1, 12
Find s such that -4*s**4 + 386*s**3 - 4502*s**2 + 1582*s + 6474 = 0.
-1, 3/2, 13, 83
Factor 2*r**4 - 2300*r**3 + 483506*r**2 + 102202800*r + 3949116192.
2*(r - 644)**2*(r + 69)**2
Suppose -o**5/3 - 59*o**4/3 - 1178*o**3/3 - 9286*o**2/3 - 9959*o - 11109 = 0. What is o?
-23, -7, -3
What is h in -4*h**4 + 302*h**3 - 108*h**2 - 3150*h = 0?
-3, 0, 7/2, 75
Factor -z**3/10 - 2893*z**2/10 - 289*z + 2892/5.
-(z - 1)*(z + 2)*(z + 2892)/10
Factor 2*h**2/9 - 1186*h/3 + 614980/9.
2*(h - 1585)*(h - 194)/9
Factor -2*k**2/17 + 14946*k/17 + 6160.
-2*(k - 7480)*(k + 7)/17
Let 5*z**2 + 8750*z + 571880 = 0. Calculate z.
-1682, -68
Determine a so that 2*a**3/11 + 9220*a**2/11 + 18426*a/11 - 27648/11 = 0.
-4608, -3, 1
Solve -r**2/3 + 133*r/3 + 850 = 0.
-17, 150
Factor -c**2/5 + 197091*c/5.
-c*(c - 197091)/5
Determine q, given that -q**2/4 - 215*q/4 - 1025/2 = 0.
-205, -10
Determine l so that -l**2/6 + 126*l + 5390/3 = 0.
-14, 770
Find b, given that b**3/4 - 45*b**2/2 - 103*b/4 + 273 = 0.
-4, 3, 91
Suppose -q**3 - 10835*q**2 + 65046*q = 0. What is q?
-10841, 0, 6
Solve -49866*t**2/13 + 49874*t/13 - 8/13 = 0 for t.
4/24933, 1
Let 3*o**4/5 - 7074*o**3/5 + 4184247*o**2/5 - 16652196*o/5 + 16623948/5 = 0. What is o?
2, 1177
Find d, given that -d**4/3 - 185*d**3/3 - 10309*d**2/3 - 51489*d - 48114 = 0.
-81, -22, -1
Factor 10*x**3 - 20914*x**2 + 50136*x.
2*x*(x - 2089)*(5*x - 12)
Solve 4*j**2 + 84104*j + 2687232 = 0 for j.
-20994, -32
What is r in -3*r**5 - 21*r**4 + 114*r**3 + 204*r**2 - 408*r - 480 = 0?
-10, -2, -1, 2, 4
Factor -a**2/3 - 125*a + 3064/3.
-(a 