1
Factor -5*h**3 - 201785*h**2 - 201770*h + 403560.
-5*(h - 1)*(h + 2)*(h + 40356)
What is t in t**4/5 - 2*t**3/5 - 883*t**2 - 97968*t/5 + 462384/5 = 0?
-39, 4, 76
Factor p**4/4 + 13*p**3/2 - 3*p**2/4 - 19*p + 13.
(p - 1)**2*(p + 2)*(p + 26)/4
Factor -4*k**3 - 1780*k**2 - 202400*k - 968000.
-4*(k + 5)*(k + 220)**2
Suppose -192*r**4 - 285552*r**3 + 214236*r**2 - 53565*r + 4464 = 0. What is r?
-1488, 1/4
Let 3*l**5 + 51*l**4 + 45*l**3 - 1095*l**2 + 672*l + 1764 = 0. What is l?
-14, -7, -1, 2, 3
Factor m**3/3 - 9307*m**2 - 74472*m - 446864/3.
(m - 27929)*(m + 4)**2/3
Factor 9*d**3 - 15792*d**2 + 120585*d - 73374.
3*(d - 1747)*(d - 7)*(3*d - 2)
Solve -3*u**2/2 + 18783*u/2 + 75228 = 0.
-8, 6269
Factor -2*h**3 + 5342*h**2 - 31998*h + 47970.
-2*(h - 2665)*(h - 3)**2
Factor 7*r**3 - 7435*r**2/2 + 495550*r - 1053375/2.
(r - 265)**2*(14*r - 15)/2
Solve 13*s**4/7 - 401*s**3/7 + 1854*s**2/7 + 19764*s/7 + 17496/7 = 0.
-54/13, -1, 18
Let 2*n**2/3 - 188*n/9 + 62/9 = 0. What is n?
1/3, 31
Find i such that -3*i**4 - 51*i**3 + 12*i**2 + 204*i = 0.
-17, -2, 0, 2
Determine g, given that -10*g**5/13 - 808*g**4/13 - 10770*g**3/13 - 33044*g**2/13 - 35552*g/13 - 960 = 0.
-65, -12, -2, -1, -4/5
Factor o**2 + 2018*o + 24072.
(o + 12)*(o + 2006)
Determine c, given that -c**4 + 8*c**3 + 137*c**2 - 144*c = 0.
-9, 0, 1, 16
Factor 2*j**3/7 + 65096*j**2/7 - 130198*j/7 + 9300.
2*(j - 1)**2*(j + 32550)/7
Determine c so that -4*c**2/7 + 407328*c/7 + 814672/7 = 0.
-2, 101834
Factor 3*g**3/5 + 10938*g**2/5 + 1980807*g - 120428676/5.
3*(g - 12)*(g + 1829)**2/5
Factor -4*k**4 - 668*k**3 - 28288*k**2 - 78960*k.
-4*k*(k + 3)*(k + 70)*(k + 94)
Find h such that -2*h**4/3 + 62*h**3/3 - 640*h**2/3 + 2656*h/3 - 1280 = 0.
4, 8, 15
Suppose -o**5 - 1358*o**4 - 8105*o**3 + 9464*o**2 = 0. What is o?
-1352, -7, 0, 1
Factor d**4/2 + 325*d**3/2 + 24891*d**2/2 - 248329*d/2 + 111556.
(d - 8)*(d - 1)*(d + 167)**2/2
Find x such that -5*x**4 - 3335*x**3 - 9960*x**2 = 0.
-664, -3, 0
Find s, given that 5*s**5 - 700545*s**4 + 32717553130*s**3 - 509335960654090*s**2 - 32717553135*s + 509335961354635 = 0.
-1, 1, 46703
Solve -14*b**5/9 - 1376*b**4/9 + 3976*b**3/9 + 14044*b**2/9 + 10726*b/9 + 2020/9 = 0.
-101, -1, -2/7, 5
Find b such that -b**5 + 500*b**4/3 - 27545*b**3/3 + 162680*b**2 + 768320*b/3 - 1229312/3 = 0.
-7/3, 1, 56
Let -9*q**5 + 92*q**4 - 335*q**3 + 520*q**2 - 316*q + 48 = 0. What is q?
2/9, 1, 2, 3, 4
What is k in 2*k**2/11 - 13208*k/11 + 79176/11 = 0?
6, 6598
Suppose -960*o**3 - 5420*o**2 - 3195*o - 475 = 0. Calculate o.
-5, -19/48, -1/4
Factor l**5/5 + 437*l**4/5 + 2169*l**3/5 + 779*l**2 + 3026*l/5 + 864/5.
(l + 1)**3*(l + 2)*(l + 432)/5
Factor -21*j**4 - 156042*j**3 - 289914885*j**2 - 165614700*j.
-3*j*(j + 3715)**2*(7*j + 4)
Suppose 11*s**5 + 45*s**4/2 - 10*s**3 - 45*s**2/2 - s = 0. Calculate s.
-2, -1, -1/22, 0, 1
Solve 2*q**2 - 456120*q + 26005681800 = 0 for q.
114030
Let 468*z**5 - 4864*z**4 + 52132*z**3/3 - 24784*z**2 + 33488*z/3 + 640 = 0. What is z?
-2/39, 1, 2, 3, 40/9
What is l in l**4 - 176*l**3 - 6534*l**2 + 2587464*l - 117406179 = 0?
-121, 99
Let z**2 + 5703*z + 17100 = 0. Calculate z.
-5700, -3
Determine j, given that 7*j**3/3 + 26399*j**2/3 + 60308*j/3 + 15076/3 = 0.
-3769, -2, -2/7
Factor 390*b**3 - 3506*b**2/9 - 4*b/9.
2*b*(b - 1)*(1755*b + 2)/9
Factor 4*p**3 + 3856*p**2 - 38924*p + 35064.
4*(p - 9)*(p - 1)*(p + 974)
Suppose c**3 + 357*c**2 - 11166*c + 10808 = 0. Calculate c.
-386, 1, 28
Factor 1125*d**3 + 272550*d**2 + 72620*d + 4840.
5*(d + 242)*(15*d + 2)**2
What is z in -3*z**5 + 18*z**4 + 84*z**3 - 168*z**2 - 864*z - 768 = 0?
-2, 4, 8
Factor 2*w**2 - 374*w + 12384.
2*(w - 144)*(w - 43)
Find z such that z**2/2 - 4275*z - 8552 = 0.
-2, 8552
Determine i, given that 2*i**5/7 - 3802*i**4/7 - 19088*i**3/7 + 7624*i**2 = 0.
-7, 0, 2, 1906
Suppose 3*u**5/8 - 351*u**4/2 + 22044*u**3 - 1406763*u**2/4 + 9017325*u/8 - 3189375/4 = 0. What is u?
1, 3, 14, 225
Solve t**4 + 604*t**3 + 109050*t**2 + 4987300*t - 27738875 = 0.
-265, -79, 5
Determine v, given that -v**3 + 4291*v**2 - 8579*v + 4289 = 0.
1, 4289
Let -3*f**5/2 - 66369*f**4/2 - 165885*f**3 = 0. What is f?
-22118, -5, 0
Factor -b**2 - 1820*b + 34941.
-(b - 19)*(b + 1839)
What is g in -g**3/6 - 127*g**2/3 + 1312*g/3 - 704 = 0?
-264, 2, 8
Factor -2*k**4/15 + 132956*k**3/3 + 664784*k**2/5 + 1994356*k/15 + 664786/15.
-2*(k - 332393)*(k + 1)**3/15
Factor -g**3 - 95*g**2 + 1852*g - 5824.
-(g - 13)*(g - 4)*(g + 112)
Determine x, given that 3*x**4 + 177*x**3 + 1668*x**2 + 4032*x = 0.
-48, -7, -4, 0
Factor 5*j**4/2 + 10*j**3 - 445*j**2/2 + 210*j.
5*j*(j - 7)*(j - 1)*(j + 12)/2
Let -4*d**2 - 3352*d + 6720 = 0. Calculate d.
-840, 2
Factor -3*m**3 - 348*m**2 + 106755*m + 107100.
-3*(m - 140)*(m + 1)*(m + 255)
Factor -2*n**4 + 226*n**3 + 1412*n**2 + 1904*n.
-2*n*(n - 119)*(n + 2)*(n + 4)
What is a in 3*a**5 - 423*a**4 + 420*a**3 = 0?
0, 1, 140
Factor s**2/3 + 21216*s + 318215/3.
(s + 5)*(s + 63643)/3
Find r such that -r**2/6 - 74111*r/6 = 0.
-74111, 0
Factor p**3/2 - 953*p**2 - 65927*p/2 - 32010.
(p - 1940)*(p + 1)*(p + 33)/2
Factor -2*c**3 - 390*c**2 - 7264*c + 7656.
-2*(c - 1)*(c + 22)*(c + 174)
What is b in b**2 + 6630*b + 289784 = 0?
-6586, -44
Suppose 5*r**5 + 670*r**4 + 11855*r**3 + 50970*r**2 - 107100*r - 513000 = 0. Calculate r.
-114, -10, -3, 3
Suppose 3*h**4 + 543*h**3 + 6147*h**2 + 10677*h + 5070 = 0. Calculate h.
-169, -10, -1
Let -14*c**2/11 + 48350*c - 151956/11 = 0. What is c?
2/7, 37989
Factor -3*l**4/7 - 6*l**3/7 + 276*l**2 - 2520*l.
-3*l*(l - 14)**2*(l + 30)/7
Let -2*l**2/9 + 58*l/9 - 112/3 = 0. What is l?
8, 21
Find v such that v**2/6 - 37715*v/3 + 1422421225/6 = 0.
37715
Solve -2*m**3 - 3180*m**2 - 1257666*m + 5081672 = 0 for m.
-797, 4
Factor 5*t**2 + 83995*t - 84000.
5*(t - 1)*(t + 16800)
Determine f so that 4*f**2 - 2136*f + 192740 = 0.
115, 419
Solve -t**5/3 + 590*t**4/3 + 4165*t**3/3 + 8350*t**2/3 + 1592*t = 0.
-4, -2, -1, 0, 597
Suppose 2*m**4/15 + 492*m**3/5 - 3466*m**2/5 + 23816*m/15 - 1192 = 0. What is m?
-745, 2, 3
Solve 3*r**3/2 + 33*r**2 - 1446*r + 9660 = 0 for r.
-46, 10, 14
Determine w, given that -2*w**4/7 - 1172*w**3/7 + 8*w**2/7 + 4688*w/7 = 0.
-586, -2, 0, 2
Let -v**4 + 612*v**3 + 4943*v**2 + 10530*v + 6200 = 0. Calculate v.
-5, -2, -1, 620
Factor 27075*q**3 - 699960*q**2 - 103593*q - 3822.
3*(q - 26)*(95*q + 7)**2
Determine m, given that -4*m**5/3 - 4204*m**4/3 - 16772*m**3/3 - 20948*m**2/3 - 2792*m = 0.
-1047, -2, -1, 0
Find k such that 6*k**5/11 - 1438*k**4/11 - 498*k**3/11 + 4326*k**2/11 - 1436*k/11 - 960/11 = 0.
-2, -1/3, 1, 240
Let -4*z**5 - 144*z**4 - 756*z**3 - 1080*z**2 = 0. What is z?
-30, -3, 0
Factor 3*l**4 + 60*l**3 - 4689*l**2 - 9546*l - 4800.
3*(l - 32)*(l + 1)**2*(l + 50)
Determine g, given that -2*g**4/3 - 2224*g**3/3 - 2954*g**2 + 2224*g/3 + 8864/3 = 0.
-1108, -4, -1, 1
Solve -2*i**5/3 + 314*i**4/3 + 652*i**3 + 64*i**2/3 - 10432*i/3 = 0.
-4, 0, 2, 163
Let 9*i**2/2 - 1387*i/4 + 77/4 = 0. What is i?
1/18, 77
Factor -3*c**3 + 1569*c**2 + 97443*c - 99009.
-3*(c - 579)*(c - 1)*(c + 57)
Solve -3*n**2 + 78456*n - 512945328 = 0.
13076
Determine k so that -2*k**3 - 470*k**2 + 1428*k = 0.
-238, 0, 3
Determine d, given that -3*d**2/7 - 2007*d/7 - 23652/7 = 0.
-657, -12
Factor -x**3 + 149*x**2 + 1932*x.
-x*(x - 161)*(x + 12)
Factor -3*p**3 - 1356*p**2 + 78324*p - 151200.
-3*(p - 50)*(p - 2)*(p + 504)
Factor o**2/4 - 17618*o - 70473/4.
(o - 70473)*(o + 1)/4
Factor 5*f**2 - 11625*f - 1250420.
5*(f - 2428)*(f + 103)
Solve -4*y**3 - 492*y**2 - 9296*y + 20592 = 0.
-99, -26, 2
Suppose c**4 + 21*c**3 - 505*c**2 - 525*c = 0. What is c?
-35, -1, 0, 15
Factor -3*u**3 - 5187*u**2 + 3*u + 5187.
-3*(u - 1)*(u + 1)*(u + 1729)
Let -g**3/4 + 2679*g**2/4 + 10729*g/4 + 8049/4 = 0. What is g?
-3, -1, 2683
Solve 3*d**4/7 + 28800*d**3/7 - 86427*d**2/7 + 12*d/7 + 115236/7 = 0.
-9603, -1, 2
Determine u so that u**3 + 6543*u**2/4 - 3685*u + 819 = 0.
-1638, 1/4, 2
Let -4*i**2/3 - 1744*i - 570288 = 0. Calculate i.
-654
Factor 4*d**5 + 212*d**4 + 2080*d**3.
4*d**3*(d + 13)*(d + 40)
Find q such that -27*q**5 + 2544*q**4 - 7842*q**3 - 7044*q**2 + 19749*q + 16380 = 0.
-1, 20/9, 3, 91
What is m in -3*m**2/7 - 118344*m/7 - 1167108528/7 = 0?
-19724
Find w, given that -3*w**3/2 - 12471*w**2/2 = 0.
-4157, 0
Factor 2*b**3/7 - 396*