98/11 = 0.
-1, 49999
Factor 5*b**2 - 26135*b - 314340.
5*(b - 5239)*(b + 12)
Determine f, given that -5*f**3 - 15*f**2 + 7400*f = 0.
-40, 0, 37
Determine j so that j**2/2 + 1205*j/2 - 8533 = 0.
-1219, 14
Suppose -2*r**3/5 - 166*r**2/5 + 18*r/5 + 1494/5 = 0. Calculate r.
-83, -3, 3
Suppose l**3 + 1032*l**2 + 303525*l + 18501250 = 0. What is l?
-475, -82
Determine d so that -2*d**5/19 - 2294*d**4/19 - 652046*d**3/19 + 3301638*d**2/19 - 4637952*d/19 + 1990656/19 = 0.
-576, 1, 3
Factor 4*m**2 + 35528*m + 78889924.
4*(m + 4441)**2
Let -p**5/4 - 11*p**4/4 + 221*p**3/2 + 347*p**2 + 234*p = 0. Calculate p.
-26, -2, -1, 0, 18
Factor -c**3/5 - 608*c**2/5 - 34813*c/5 - 524706/5.
-(c + 31)**2*(c + 546)/5
Let -3*s**5 - 195*s**4 - 1101*s**3 - 2337*s**2 - 2136*s - 708 = 0. Calculate s.
-59, -2, -1
Factor 18*r**2 - 790*r - 2532.
2*(r + 3)*(9*r - 422)
Let j**3 + 34*j**2 + 111*j - 2106 = 0. What is j?
-27, -13, 6
Factor -p**3/6 - 347*p**2/6 - 6660*p - 254664.
-(p + 108)**2*(p + 131)/6
Find j such that 2*j**2/3 + 2320072*j/3 + 672841760648/3 = 0.
-580018
Suppose -a**3/4 + 7*a**2 + 185*a - 396 = 0. Calculate a.
-18, 2, 44
Factor -4*w**3 + 180*w**2 + 250276*w + 749100.
-4*(w - 275)*(w + 3)*(w + 227)
Solve -3*d**4/2 + 216477*d**3/2 + 649467*d**2 + 1298958*d + 865980 = 0 for d.
-2, 72165
Let 2*a**4 + 270*a**3 - 1400*a**2 = 0. Calculate a.
-140, 0, 5
Solve 4*j**2 - 4*j - 6240 = 0.
-39, 40
Factor l**3/8 - l**2/8 - 119*l/2 - 228.
(l - 24)*(l + 4)*(l + 19)/8
Factor 2*p**2/15 - 108136*p/5 + 4385022936/5.
2*(p - 81102)**2/15
What is h in -4*h**4 + 17636*h**3 - 316536*h**2 + 1686656*h - 2248192 = 0?
2, 8, 4391
Suppose -2*q**3 + 892*q**2 - 132608*q + 6571200 = 0. What is q?
148, 150
Factor -z**2/4 - 23363*z/2 - 23362.
-(z + 2)*(z + 46724)/4
Factor 2*f**3/5 - 10472*f**2/5 + 2718386*f + 304112204/5.
2*(f - 2629)**2*(f + 22)/5
Find v, given that v**2 - 13835*v + 27666 = 0.
2, 13833
Let 45*r**5/4 + 69*r**4/2 - 237*r**3/4 - 627*r**2/2 - 339*r - 90 = 0. What is r?
-2, -5/3, -2/5, 3
Solve 3*i**2/5 + 30027*i/5 + 30024/5 = 0 for i.
-10008, -1
Factor 3*u**3 - 5292*u**2 - 47937*u + 117018.
3*(u - 1773)*(u - 2)*(u + 11)
Suppose -2*l**3/9 - 182*l**2/3 - 12512*l/3 - 36992/9 = 0. Calculate l.
-136, -1
Factor 3*t**3/2 - 603*t**2 - 7452*t.
3*t*(t - 414)*(t + 12)/2
Factor -5*r**3 + 265*r**2 - 4570*r + 25760.
-5*(r - 23)*(r - 16)*(r - 14)
Determine w so that 3*w**2/2 + 32127*w + 344048043/2 = 0.
-10709
Factor -5*s**4 - 410*s**3 - 1855*s**2 + 5390*s.
-5*s*(s - 2)*(s + 7)*(s + 77)
Suppose u**5/3 - 37*u**4/3 + 17*u**3 + 685*u**2/3 - 700*u/3 = 0. Calculate u.
-4, 0, 1, 5, 35
Let -30*n**2 - 65*n = 0. What is n?
-13/6, 0
Factor 2*k**2 + 1028*k + 3066.
2*(k + 3)*(k + 511)
Factor -p**2/7 - 506390*p/7 - 64107708025/7.
-(p + 253195)**2/7
Determine z, given that -2*z**3/19 + 504*z**2/19 - 25482*z/19 - 825836/19 = 0.
-22, 137
Factor -3*o**3 - 876531*o**2 - 876528*o.
-3*o*(o + 1)*(o + 292176)
Find m, given that 4*m**3/3 + 1708*m**2/3 + 242572*m/3 + 3818572 = 0.
-149, -129
Determine o so that -o**5/3 - 12*o**4 + 463*o**3/3 + 106*o**2/3 - 484*o + 920/3 = 0.
-46, -2, 1, 10
Factor -35*t**3 + 13955*t**2 - 64960*t - 19700.
-5*(t - 394)*(t - 5)*(7*t + 2)
Factor 6*v**3/19 + 88*v**2/19 + 130*v/19.
2*v*(v + 13)*(3*v + 5)/19
Let 14*d**5/9 - 58*d**4/3 + 694*d**3/9 - 310*d**2/3 - 4*d + 48 = 0. Calculate d.
-4/7, 1, 3, 6
Suppose 4*k**3/7 - 22164*k**2/7 - 44340*k/7 - 22172/7 = 0. What is k?
-1, 5543
Solve p**2/6 + 545*p/6 - 547/3 = 0 for p.
-547, 2
Suppose 3*c**4/2 + 1341*c**3/2 - 1347*c**2/2 - 1341*c/2 + 672 = 0. Calculate c.
-448, -1, 1
Suppose i**4/7 - 36*i**3/7 - 31*i**2/7 + 1146*i/7 - 1080/7 = 0. Calculate i.
-6, 1, 5, 36
Factor -2*t**3/7 + 51658*t**2/7 + 7380*t.
-2*t*(t - 25830)*(t + 1)/7
Suppose 34588*r**5/3 + 242128*r**4/3 + 588080*r**3/3 + 588200*r**2/3 + 69244*r + 24 = 0. Calculate r.
-3, -2, -1, -3/8647
Solve 2*f**4/9 - 70*f**3/9 + 268*f**2/3 - 3296*f/9 + 2560/9 = 0 for f.
1, 8, 10, 16
Factor 4*m**2/3 - 192124*m/3 - 192128/3.
4*(m - 48032)*(m + 1)/3
Solve -2187*m**5 + 34344*m**4/5 - 29688*m**3/5 + 2016*m**2 - 240*m = 0.
0, 10/27, 2/5, 2
Factor -5*k**2 + 2290*k - 259785.
-5*(k - 251)*(k - 207)
Factor 339*g**2/7 + 786*g/7 + 216/7.
3*(g + 2)*(113*g + 36)/7
Determine r, given that -16*r**3 - 30728*r**2 - 76745*r - 47950 = 0.
-1918, -5/4
Factor 2*w**3 - 470*w**2 - 56028*w.
2*w*(w - 322)*(w + 87)
Factor 455*g**2/3 + g/2.
g*(910*g + 3)/6
Suppose -2*c**2/3 - 4861396*c/3 - 2954146383602/3 = 0. What is c?
-1215349
Find l, given that 14*l**5/17 + 314*l**4/17 + 1484*l**3/17 - 7500*l**2/17 - 56826*l/17 - 84942/17 = 0.
-11, -3, 39/7
Factor 3398*b**2/7 + 3400*b/7 + 2/7.
2*(b + 1)*(1699*b + 1)/7
Determine m, given that -3*m**3/5 - 11691*m**2/5 - 2334*m + 70128/5 = 0.
-3896, -3, 2
What is r in 111554*r**4 + 1261060*r**3/3 - 305992*r**2/3 + 17456*r/3 + 64/3 = 0?
-4, -2/579, 2/17
Determine u, given that u**4/2 - 18*u**3 - 222*u**2 - 368*u = 0.
-8, -2, 0, 46
Suppose -m**2/4 + 245*m/2 + 1250 = 0. What is m?
-10, 500
Suppose -2*d**5/15 - 442*d**4/15 - 434*d**3/15 + 266*d**2/3 + 2204*d/15 + 176/3 = 0. What is d?
-220, -1, 2
Factor r**4/6 - 2735*r**3 + 67305613*r**2/6 + 22443410*r + 33669218/3.
(r - 8206)**2*(r + 1)**2/6
Factor -2*t**2/11 + 7622*t/11 - 698796/11.
-2*(t - 3717)*(t - 94)/11
Determine k so that k**5/3 + 25*k**4 + 546*k**3 + 8500*k**2/3 + 2312*k = 0.
-34, -6, -1, 0
Factor 2*c**3/5 + 358*c**2/5 + 2926*c + 14274/5.
2*(c + 1)*(c + 61)*(c + 117)/5
Factor -2*k**3 + 44262*k**2 - 1679790*k + 15951146.
-2*(k - 22093)*(k - 19)**2
Let -3*y**3/7 - 2178*y**2/7 + 813888*y/7 - 63078912/7 = 0. What is y?
-1014, 144
Factor -60*n**2 + 4484*n + 23920.
-4*(n + 5)*(15*n - 1196)
Factor -2*a**4 - 66*a**3 + 6300*a**2.
-2*a**2*(a - 42)*(a + 75)
Factor -1207*w**2/3 - 7232*w/3 + 20.
-(w + 6)*(1207*w - 10)/3
Factor -5*d**2 + 32785*d - 32780.
-5*(d - 6556)*(d - 1)
Factor i**4/7 + 20*i**3/7 + 89*i**2/7 - 110*i/7.
i*(i - 1)*(i + 10)*(i + 11)/7
Suppose -2*b**4/17 - 78*b**3 = 0. Calculate b.
-663, 0
Factor -3*k**2 - 1008*k/5 - 201/5.
-3*(k + 67)*(5*k + 1)/5
Suppose -y**3/3 - 2*y**2 + 331*y/3 - 460 = 0. Calculate y.
-23, 5, 12
Determine l, given that 4*l**3 - 13120*l**2 + 13092*l + 78696 = 0.
-2, 3, 3279
Determine x, given that -3*x**2 + 43878*x - 43875 = 0.
1, 14625
Let 4*q**5 + 84*q**4 - 1380*q**3 + 6380*q**2 - 11424*q + 6336 = 0. Calculate q.
-33, 1, 3, 4
What is d in d**2/2 - 689*d/2 + 8300 = 0?
25, 664
Factor -98*d**3 + 21750470*d**2 - 12428816*d + 1775544.
-2*(d - 221943)*(7*d - 2)**2
Find i, given that -2*i**5/13 - 656*i**4/13 - 51026*i**3/13 + 466980*i**2/13 + 1278144*i/13 - 1693440/13 = 0.
-168, -3, 1, 10
Factor 5*v**3 - 2055*v**2 - 38205*v - 173745.
5*(v - 429)*(v + 9)**2
Factor v**4/5 - 26*v**3/5 - 552*v**2/5 - 2534*v/5 - 2009/5.
(v - 41)*(v + 1)*(v + 7)**2/5
Determine r so that 3245*r**2 - 3225*r - 20 = 0.
-4/649, 1
Factor -4*v**3/9 - 3848*v**2/9 + 3884*v.
-4*v*(v - 9)*(v + 971)/9
Factor -5*r**3 + 730*r**2 - 22405*r + 164780.
-5*(r - 107)*(r - 28)*(r - 11)
Let -4*u**5 - 521700*u**4 - 521692*u**3 + 521700*u**2 + 521696*u = 0. Calculate u.
-130424, -1, 0, 1
Factor 3*t**4/8 + 273*t**3/8 + 3645*t**2/8 + 17475*t/8 + 7125/2.
3*(t + 5)**3*(t + 76)/8
Solve -2*z**2/5 - 34*z + 56592/5 = 0.
-216, 131
Suppose k**4 - 7232*k**3 + 17291880*k**2 - 13321454400*k - 832236606000 = 0. What is k?
-58, 2430
Solve -3*t**4/2 - 21929*t**3/2 + 138971*t**2/2 - 241419*t/2 + 32922 = 0 for t.
-7316, 1/3, 3
Factor 1269*y**3 - 7602*y**2 + 11349*y + 108.
3*(y - 3)**2*(423*y + 4)
Solve -86*o**3/3 - 5156*o**2/3 + 5486*o/3 - 244/3 = 0 for o.
-61, 2/43, 1
Factor 2*n**3/11 - 24*n**2/11 - 6518*n/11 + 32940/11.
2*(n - 61)*(n - 5)*(n + 54)/11
Factor -18*j**4 - 28552*j**3 - 6344*j**2.
-2*j**2*(j + 1586)*(9*j + 2)
Suppose -2*c**2 + 4*c + 798 = 0. What is c?
-19, 21
Suppose -3*r**2 + 45792*r - 174742272 = 0. What is r?
7632
Factor -2*f**4 + 24292*f**3 - 73835498*f**2 + 442357320*f - 663208200.
-2*(f - 6070)**2*(f - 3)**2
Factor 18*c**3/7 + 5274996*c**2/7 - 3516670*c/7 + 586112/7.
2*(c + 293056)*(3*c - 1)**2/7
Factor a**4 - 17*a**3 - 30*a**2 + 216*a.
a*(a - 18)*(a - 3)*(a + 4)
Find o, given that 2*o**3/5 - 62*o**2/5 - 4032*o/5 = 0.
-32, 0, 63
Determine d, given that 2*d**5/3 + 1262*d**4/15 + 3914*d**3/5 - 10462*d**2/15 - 2552*d/15 = 0.
-116, -11, -1/5, 0, 1
Determine k, given tha