296
Solve -3*p**4/8 + 43971*p**3/8 - 80527383*p**2/4 - 120868035*p/2 - 40296675 = 0 for p.
-2, -1, 7330
Find q such that 55*q**5 - 8733*q**4 + 291689*q**3 + 4593269*q**2 - 5772180*q + 895900 = 0.
-62/5, 2/11, 1, 85
Factor -5*t**2 - 640*t + 10725.
-5*(t - 15)*(t + 143)
Suppose -5*n**5 - 190*n**4 - 1730*n**3 - 2560*n**2 + 1735*n + 2750 = 0. What is n?
-25, -11, -2, -1, 1
Solve v**2/2 + 21229*v/4 + 21227/4 = 0.
-21227/2, -1
Factor -7803*f**3 - 95319*f**2 - 337953*f - 371469.
-3*(f + 7)*(51*f + 133)**2
Determine m, given that m**3/6 + 114*m**2 - 1147*m/2 + 1378/3 = 0.
-689, 1, 4
Factor 5*t**2 - 2110*t + 12480.
5*(t - 416)*(t - 6)
Let -267*n**2/4 + 783*n/4 + 27/2 = 0. Calculate n.
-6/89, 3
Solve -4*z**4/9 + 8*z**3/3 + 12*z**2 - 96*z + 144 = 0 for z.
-6, 3, 6
Factor 5*h**3 + 89165*h**2 + 396939655*h - 5175295385.
5*(h - 13)*(h + 8923)**2
Find r, given that 3*r**2/5 - 34947*r/5 - 6990 = 0.
-1, 11650
Factor -2*d**2/9 + 284*d/9 + 2870.
-2*(d - 205)*(d + 63)/9
Factor -2*o**2 + 112*o + 13224.
-2*(o - 114)*(o + 58)
Find q such that 5*q**2 - 66025*q - 330250 = 0.
-5, 13210
Solve -2*m**3/3 + 1850*m**2/9 + 4982*m/9 - 622/3 = 0 for m.
-3, 1/3, 311
What is i in -1774*i**3/5 + 1772*i**2/5 + 2*i/5 = 0?
-1/887, 0, 1
Suppose 363*b**3 - 308847*b**2 + 64281297*b + 603812907 = 0. Calculate b.
-9, 4729/11
Factor -144*w**2/7 + 44040*w/7 - 3367225/7.
-(12*w - 1835)**2/7
Suppose 2*d**4/7 - 56*d**3 + 7590*d**2/7 - 42200*d/7 + 5000 = 0. Calculate d.
1, 10, 175
Determine l so that -4*l**3 + 138301*l**2 - 34575*l = 0.
0, 1/4, 34575
Determine n so that 2*n**3 - 13602*n**2 + 81558*n - 122310 = 0.
3, 6795
Factor 5732*h**5/5 - 17172*h**4/5 + 17124*h**3/5 - 1132*h**2 - 24*h/5.
4*h*(h - 1)**3*(1433*h + 6)/5
Factor -5*d**3 + 400*d**2 - 6985*d + 35090.
-5*(d - 58)*(d - 11)**2
Find b, given that 405*b**2 - 46581*b + 690 = 0.
2/135, 115
Suppose -5*z**2 + 50165*z + 50170 = 0. Calculate z.
-1, 10034
Let -2*m**4/5 + 6320*m**3 - 24964000*m**2 = 0. What is m?
0, 7900
Factor j**3/2 - 77*j**2/2 - 289*j - 420.
(j - 84)*(j + 2)*(j + 5)/2
Find a, given that -a**5 - 21*a**4/2 + 1489*a**3/2 - 8061*a**2/2 - 5159*a/2 + 2205 = 0.
-35, -1, 1/2, 7, 18
Determine z so that 4*z**2 - 161220*z + 161216 = 0.
1, 40304
Find x, given that 2*x**4/7 + 142*x**3/7 + 400*x**2/7 - 568*x/7 - 1632/7 = 0.
-68, -3, -2, 2
Factor -d**3/4 + 15*d**2 - 917*d/4 + 1911/2.
-(d - 39)*(d - 14)*(d - 7)/4
Factor -2*h**2 - 194344*h - 194342.
-2*(h + 1)*(h + 97171)
Find k such that 3*k**4/2 - 50817*k**3 - 101643*k**2/2 + 101637*k = 0.
-2, 0, 1, 33879
Suppose 90*g**4 + 46706*g**3 + 183594*g**2 + 130798*g - 6180 = 0. What is g?
-515, -3, -1, 2/45
Suppose -5*t**3 + 1397245*t**2 - 2794475*t + 1397235 = 0. What is t?
1, 279447
Factor -z**2 - 809*z + 14042.
-(z - 17)*(z + 826)
Let -3*d**3/5 - 588*d**2/5 - 9828*d/5 - 38448/5 = 0. What is d?
-178, -12, -6
What is u in -u**5/5 + 17*u**4/5 - 59*u**3/5 - 17*u**2/5 + 12*u = 0?
-1, 0, 1, 5, 12
Determine m, given that -m**5 - 25*m**4 + 32*m**3 + 152*m**2 - 112*m - 208 = 0.
-26, -2, -1, 2
Find l, given that -l**4/6 - 32*l**3/3 - 224*l**2 - 1536*l = 0.
-24, -16, 0
Factor 3*a**3/2 - 804*a**2 + 232071*a/2 - 2179617.
3*(a - 257)**2*(a - 22)/2
Factor 4*h**3 + 940*h**2 + 7328*h + 14528.
4*(h + 4)**2*(h + 227)
Suppose 26*h**2/5 - 463558*h/5 + 71316/5 = 0. Calculate h.
2/13, 17829
Factor h**4 - 1984*h**3 - 23941*h**2 - 21956*h.
h*(h - 1996)*(h + 1)*(h + 11)
Factor -3*x**5/5 + 9492*x**4/5 + 57024*x**3/5 + 114096*x**2/5 + 15216*x.
-3*x*(x - 3170)*(x + 2)**3/5
Factor z**3/4 - 86607*z**2/2 + 1875149808*z + 3750472832.
(z - 86608)**2*(z + 2)/4
Factor o**3 + 265*o**2 + 5346*o.
o*(o + 22)*(o + 243)
What is n in 5202*n**3/5 - 232968*n**2/5 + 2608328*n/5 = 0?
0, 1142/51
Let -2*f**2/7 - 1010*f/7 - 51852/7 = 0. Calculate f.
-447, -58
Find q such that 5*q**5 + 430*q**4 + 395*q**3 - 2550*q**2 = 0.
-85, -3, 0, 2
Find i such that i**3/3 - 1460*i**2/3 + 481453*i/3 + 12807718 = 0.
-66, 763
Suppose 102*d**4 - 8297*d**3/4 + 21767*d**2/2 - 3395*d - 150 = 0. Calculate d.
-2/51, 3/8, 10
Suppose -h**5/3 + 185*h**4/3 + 2149*h**3/3 + 1519*h**2/3 - 9604*h = 0. Calculate h.
-7, 0, 3, 196
Factor -5*a**2 + 3865*a - 394460.
-5*(a - 652)*(a - 121)
Factor 3*b**2 + 1644*b + 225228.
3*(b + 274)**2
Let 4*d**2/5 - 152*d/5 - 12956/5 = 0. What is d?
-41, 79
Suppose 2*n**4/3 - 740*n**3/3 + 1200*n**2 + 18500*n/3 - 91250/3 = 0. Calculate n.
-5, 5, 365
Determine o so that -2*o**4/7 - 158*o**3/7 - 3756*o**2/7 - 3128*o + 60112/7 = 0.
-34, -13, 2
Suppose -2*q**3 + 599*q**2 - 346521*q/8 - 1854405/8 = 0. Calculate q.
-5, 609/4
Factor -3*q**3/4 - 129*q**2/4 - 282*q - 576.
-3*(q + 3)*(q + 8)*(q + 32)/4
Factor -x**4 + 816*x**3 + 11607*x**2 + 10790*x.
-x*(x - 830)*(x + 1)*(x + 13)
Solve p**2/3 - 1571*p - 4716 = 0 for p.
-3, 4716
Let -32*r**5/7 - 3408*r**4/7 - 11090*r**3/7 + 45720*r**2/7 - 22538*r/7 - 1236 = 0. What is r?
-103, -6, -1/4, 1, 7/4
Find s such that -s**5/3 - 8*s**4 - 33*s**3 + 536*s**2/3 - 36*s - 240 = 0.
-15, -12, -1, 2
What is u in -5*u**4/2 - 143*u**3/2 - 596*u**2 - 1430*u + 672 = 0?
-16, -7, -6, 2/5
Factor 3*j**2/5 + 709206*j/5 + 41914429203/5.
3*(j + 118201)**2/5
Solve -135*x**3 - 14590*x**2 - 156600*x - 11520 = 0 for x.
-96, -12, -2/27
Find c such that c**4/3 + 74*c**3 + 3299*c**2 - 269588*c/3 + 468512 = 0.
-121, 8, 12
Factor -n**3/5 + 12018*n**2/5 - 36108081*n/5.
-n*(n - 6009)**2/5
Factor 2*s**2/7 + 5972*s/7 - 45136.
2*(s - 52)*(s + 3038)/7
What is h in 27*h**5 - 32280*h**4 + 50003*h**3 + 173218*h**2 - 105084*h + 14328 = 0?
-2, 2/9, 1/3, 3, 1194
Factor 2*n**3/9 + 40*n**2/3 + 154*n + 4508/9.
2*(n + 7)**2*(n + 46)/9
Factor 6*v**2/13 - 1443866*v/13 + 481288/13.
2*(v - 240644)*(3*v - 1)/13
Factor -2*v**2/5 + 6216*v - 24149160.
-2*(v - 7770)**2/5
Let -f**3/3 + 73*f**2 + 1126*f/3 - 448 = 0. Calculate f.
-6, 1, 224
Factor -6*f**3/5 + 234*f**2/5 - 1092*f/5 - 3168/5.
-6*(f - 33)*(f - 8)*(f + 2)/5
Determine c so that 2*c**4/5 - 946*c**3/5 + 16860*c**2 + 6760648*c/5 + 6315248 = 0.
-46, -5, 262
Determine x so that -4*x**3 - 224*x**2 + 524*x + 3480 = 0.
-58, -3, 5
Factor 2*q**4 - 1588*q**3 + 200976*q**2.
2*q**2*(q - 636)*(q - 158)
Let i**5/8 - 959*i**4/8 + 230397*i**3/8 - 227525*i**2/8 - 229441*i/4 = 0. What is i?
-1, 0, 2, 479
Solve -5*f**5 - 2550*f**4 - 422955*f**3 - 20960910*f**2 + 303819660*f - 711183240 = 0.
-174, 3, 9
Factor 66066125*y**3/9 - 53507200*y**2/9 + 58340*y - 144.
(5*y - 4)*(3635*y - 18)**2/9
What is z in 10*z**4 - 98*z**3 - 510*z**2 + 4802*z + 980 = 0?
-7, -1/5, 7, 10
Determine m so that -132*m**5 + 1414*m**4 - 2680*m**3 - 6504*m**2 + 1152*m = 0.
-16/11, 0, 1/6, 6
Suppose 2*x**4/3 - 6526*x**3/3 - 45760*x**2/3 - 21800*x = 0. What is x?
-5, -2, 0, 3270
Suppose -2*a**4/17 + 198*a**3/17 - 1668*a**2/17 + 256*a - 2880/17 = 0. Calculate a.
1, 4, 90
Factor x**2/3 - 12232*x/3.
x*(x - 12232)/3
Factor -2*y**2/3 - 7582*y/3.
-2*y*(y + 3791)/3
Factor 2*w**5/13 - 18*w**4/13 + 4*w**3 - 68*w**2/13 + 42*w/13 - 10/13.
2*(w - 5)*(w - 1)**4/13
Factor -2*s**3 + 1063314*s**2 + 2126634*s + 1063318.
-2*(s - 531659)*(s + 1)**2
What is y in -15*y**5 - 66*y**4 + 66*y**3 + 96*y**2 - 51*y - 30 = 0?
-5, -1, -2/5, 1
Factor -r**2/4 + 57035*r/4 + 57037/2.
-(r - 57037)*(r + 2)/4
Factor -2*m**5 + 86*m**4 - 1316*m**3 + 8060*m**2 - 12506*m - 21970.
-2*(m - 13)**3*(m - 5)*(m + 1)
Determine z so that -2*z**3 - 19796*z**2 + 19798*z = 0.
-9899, 0, 1
Let -2*z**4/5 + 232*z**3/5 - 1246*z**2 + 1200*z = 0. What is z?
0, 1, 40, 75
Determine h so that -2*h**2/7 - 14284*h/7 - 25504082/7 = 0.
-3571
Factor 5*f**3 + 5685*f**2 - 40010*f + 34320.
5*(f - 6)*(f - 1)*(f + 1144)
Find o such that o**2/6 + 81*o + 1404 = 0.
-468, -18
Determine h, given that -14*h**4 + 374*h**3 - 2272*h**2 - 680*h = 0.
-2/7, 0, 10, 17
Let -2*j**3/7 + 34*j**2/7 + 30*j - 126 = 0. Calculate j.
-7, 3, 21
Determine j, given that -13*j**5/9 + 5956*j**4/9 - 739589*j**3/9 + 13152902*j**2/9 - 21451780*j/3 + 1065800 = 0.
2/13, 10, 219
Factor q**3/3 - 841903*q**2/3 + 59066862101*q - 59066581467.
(q - 420951)**2*(q - 1)/3
Find a such that -2*a**4/7 + 276*a**3/7 + 704*a**2 = 0.
-16, 0, 154
What is o in -3*o**5 - 300*o**4 + 318*o**3 + 1524*o**2 + 909*o = 0?
-101, -1, 0, 3
Let -j**2/6 - 517*j/6 + 1834/3 = 0. Calculate j.
-524, 7
Suppose -2*j**4 - 2212*j**3 + 2218*j**2 + 4428*j = 0. Calculate j.
-1107, -1, 0, 2
Solve -x**