or 3*y**4/2 - 2250*y**3 + 4497*y**2/2.
3*y**2*(y - 1499)*(y - 1)/2
Factor 3*j**2/2 - 9138*j - 18279/2.
3*(j - 6093)*(j + 1)/2
Factor 5*j**2 + 2025*j - 2030.
5*(j - 1)*(j + 406)
Suppose -3*v**3 - 657*v**2 + 23328*v - 192768 = 0. Calculate v.
-251, 16
Factor -a**2 + 49694*a - 49693.
-(a - 49693)*(a - 1)
Find w such that 5*w**4 + 2396255*w**3 + 287100703120*w**2 - 287103099380*w = 0.
-239626, 0, 1
Let p**2/4 + 76*p - 624 = 0. What is p?
-312, 8
Suppose 2*l**5/11 + 10050*l**4/11 + 9392380*l**3/11 - 8124363140*l**2/11 + 1302411136770*l/11 + 1310544882242/11 = 0. Calculate l.
-2801, -1, 289
Solve 20*g**5 + 66848*g**4 - 173904*g**3 + 120424*g**2 + 13372*g - 26760 = 0.
-3345, -2/5, 1
Solve 2*u**2/5 + 12844*u/5 + 102112 = 0 for u.
-6382, -40
Find v, given that -2*v**5 + 738*v**4 + 20844*v**3 + 211464*v**2 + 937008*v + 1539648 = 0.
-9, -6, 396
Factor 2*w**3 + 128348*w**2 + 256690*w + 128344.
2*(w + 1)**2*(w + 64172)
Factor 4*h**3 - 7940*h**2 + 1373052*h - 62238204.
4*(h - 1799)*(h - 93)**2
Let -m**2 - 105918*m + 105919 = 0. What is m?
-105919, 1
Factor t**4/4 - 152*t**3 + 48285*t**2/2 - 315414*t + 3969405/4.
(t - 297)**2*(t - 9)*(t - 5)/4
Let -p**3/9 + 3*p**2 + 508*p/9 + 160/3 = 0. What is p?
-12, -1, 40
Find k, given that -3*k**5 - 45*k**4 - 96*k**3 + 144*k**2 = 0.
-12, -4, 0, 1
Factor -g**3/9 - 1141*g**2/9 - 4892*g/3 - 1504.
-(g + 1)*(g + 12)*(g + 1128)/9
Solve -10*z**4 - 8685*z**3 - 4340*z**2 = 0 for z.
-868, -1/2, 0
Factor -27*f**4 + 850590*f**3 - 6699672111*f**2 + 8931762060*f - 2977128012.
-3*(f - 15751)**2*(3*f - 2)**2
Factor y**3 + 20036*y**2 + 40069*y + 20034.
(y + 1)**2*(y + 20034)
What is j in -39*j**5/7 + 75*j**4/7 + 393*j**3/7 - 747*j**2/7 - 54*j + 648/7 = 0?
-3, -1, 12/13, 2, 3
Determine x, given that -x**4/8 - 115*x**3/4 - 1609*x**2/2 + 106467*x - 209484 = 0.
-138, 2, 44
Solve u**2 - 3479*u/3 - 1160/3 = 0.
-1/3, 1160
Factor 3*u**2 + 70359*u/2 + 17589.
3*(u + 11726)*(2*u + 1)/2
Factor 68*d**3 + 14160*d**2 + 3328*d.
4*d*(d + 208)*(17*d + 4)
Find t such that 2*t**4/11 - 18*t**3 + 4822*t**2/11 - 8298*t/11 - 13320/11 = 0.
-1, 3, 37, 60
Find s, given that -3*s**3 + 3327*s**2 - 9960*s + 6636 = 0.
1, 2, 1106
Factor 4*o**4 - 560*o**3 + 19024*o**2.
4*o**2*(o - 82)*(o - 58)
Factor -2*b**3 + 6470*b**2 - 5242304*b + 15668736.
-2*(b - 1616)**2*(b - 3)
Find n, given that -n**5/2 - 197*n**4/2 - 5821*n**3 - 87806*n**2 + 199692*n = 0.
-86, -27, 0, 2
Factor 5*x**3 + 65*x**2 - 2550*x.
5*x*(x - 17)*(x + 30)
Find p such that 2*p**5 + 52*p**4 - 12*p**3 - 1408*p**2 + 3466*p - 2100 = 0.
-25, -7, 1, 2, 3
Factor -5*s**5/3 - 110*s**4 + 1370*s**3/3 - 2080*s**2/3 + 465*s - 350/3.
-5*(s - 1)**4*(s + 70)/3
Factor -u**2/3 + 83270*u/3 - 1733473225/3.
-(u - 41635)**2/3
Determine a, given that 2*a**3 - 298*a**2 - 13320*a = 0.
-36, 0, 185
Find b such that -243*b**4 - 800253*b**3 - 4970271*b**2 - 1074867*b - 59166 = 0.
-3287, -6, -1/9
Determine a, given that 2*a**2/13 + 1344*a/13 + 1342/13 = 0.
-671, -1
Factor 2*t**2 - 710*t - 1428.
2*(t - 357)*(t + 2)
Determine m so that -2*m**3 + 2306*m**2 = 0.
0, 1153
Factor 2*z**2/3 + 934*z - 22544/3.
2*(z - 8)*(z + 1409)/3
Suppose -2*c**2/3 + 141374*c - 424120/3 = 0. Calculate c.
1, 212060
Let -49*v**2/2 - 61*v/4 + 37/4 = 0. What is v?
-1, 37/98
Let -3*x**5 - 102*x**4 - 477*x**3 + 4386*x**2 + 15060*x + 10296 = 0. Calculate x.
-26, -11, -2, -1, 6
Let -2*k**3 + 374*k**2 + 5692*k - 12864 = 0. Calculate k.
-16, 2, 201
Factor 3*s**2 - 55458*s - 166401.
3*(s - 18489)*(s + 3)
Factor -2*k**2/5 - 438*k + 2200.
-2*(k - 5)*(k + 1100)/5
Let 2*r**4/9 + 164*r**3/9 + 1064*r**2/3 - 784*r = 0. Calculate r.
-42, 0, 2
What is v in -92*v**4/7 + 34144*v**3/7 + 64088*v**2/7 + 25376*v/7 - 4476/7 = 0?
-1, 3/23, 373
Determine b so that -b**5/4 - 9*b**4/4 - b**3/4 + 69*b**2/4 + 55*b/2 + 12 = 0.
-8, -2, -1, 3
Determine f so that -4*f**3 + 52540*f**2 - 172501952*f - 172554496 = 0.
-1, 6568
Factor 3*w**2 + 651*w + 19548.
3*(w + 36)*(w + 181)
Factor -4*r**4 + 27416*r**3 - 46175524*r**2 - 2747741184*r - 40179400704.
-4*(r - 3456)**2*(r + 29)**2
Factor -2*r**4 + 1148*r**3 - 116786*r**2 - 13762224*r - 287424288.
-2*(r - 324)**2*(r + 37)**2
Factor 3*g**2 - 29481*g + 412146.
3*(g - 9813)*(g - 14)
Determine z so that -2*z**5 - 68*z**4 + 1552*z**3 - 2528*z**2 - 6176*z + 11200 = 0.
-50, -2, 2, 14
Solve -2*m**3 - 1556*m**2 + 1562*m + 3116 = 0 for m.
-779, -1, 2
Factor 2*y**4/17 - 2*y**3 - 114*y**2/17 - 118*y/17 - 40/17.
2*(y - 20)*(y + 1)**3/17
Suppose l**2 + 2733*l - 5470 = 0. Calculate l.
-2735, 2
Find k such that 4*k**5/7 - 1097*k**4/7 - 16958*k**3/7 - 3836*k**2 - 1034*k + 3757/7 = 0.
-13, -1, 1/4, 289
Suppose t**3/2 + 403*t**2/3 + 2921*t/6 + 265 = 0. Calculate t.
-265, -3, -2/3
Suppose 405*o**4 + 4872510*o**3 + 14657322005*o**2 + 13025843400*o + 2894418000 = 0. What is o?
-6015, -4/9
Factor 12*h**2/5 - 28089*h/5 + 49119/5.
3*(h - 2339)*(4*h - 7)/5
Let -5*f**5/4 - 1845*f**4/4 - 10765*f**3/2 - 19425*f**2/2 + 149695*f/4 - 87465/4 = 0. What is f?
-357, -7, 1
Solve -g**5 + 580*g**4 + 4686*g**3 + 10568*g**2 + 9403*g + 2940 = 0.
-5, -1, 588
Factor 5*k**3 - 380*k**2 + 1105*k - 730.
5*(k - 73)*(k - 2)*(k - 1)
Factor -5*v**2 - 92840*v + 2417220.
-5*(v - 26)*(v + 18594)
Factor 2*j**2/3 - 46818*j + 140448.
2*(j - 70224)*(j - 3)/3
Find x such that 18723*x**3 - 42897*x**2 + 31977*x - 7803 = 0.
51/79, 1
Find t, given that -t**4/5 - 569*t**3/5 + 30753*t**2/5 - 532627*t/5 + 609212 = 0.
-620, 17
Factor -2*k**3/9 - 3560*k**2/9 - 182554*k - 5758308.
-2*(k + 34)*(k + 873)**2/9
Solve 3*c**4/5 - 4083*c**3/5 + 1951506*c**2/5 - 73497780*c + 19249885224/5 = 0 for c.
83, 426
Solve 35*p**5 + 1455*p**4 - 3130*p**3 - 42420*p**2 - 9640*p + 103200 = 0.
-43, -4, -2, 10/7, 6
Solve -560*c**3/3 - 724*c**2/3 - 10*c = 0.
-5/4, -3/70, 0
Solve w**3 - 1953*w**2 + 46440*w - 277776 = 0.
12, 1929
Suppose -2*b**2/11 - 4908*b/11 + 14742/11 = 0. What is b?
-2457, 3
Find c such that -2*c**3/5 + 308*c**2/5 + 1578*c/5 + 1908/5 = 0.
-3, -2, 159
Find p such that -p**4 + 1866*p**3 - 862993*p**2 - 6993768*p - 14047504 = 0.
-4, 937
Determine m, given that 22*m**3/5 - 3822*m**2/5 + 6524*m/5 + 2064/5 = 0.
-3/11, 2, 172
Find t, given that 48*t**5 - 4*t**4 - 980*t**3 + 1200*t**2 = 0.
-5, 0, 4/3, 15/4
Determine u so that 3*u**2/7 + 618*u/7 = 0.
-206, 0
Determine y, given that -2*y**3 - 12880*y**2 - 25754*y - 12876 = 0.
-6438, -1
Let -y**5/7 + 30*y**4/7 - 53*y**3/7 - 92*y**2/7 + 228*y/7 - 16 = 0. What is y?
-2, 1, 2, 28
Factor -3*m**5 + 20433*m**4 - 34782072*m**3 - 34802508*m**2.
-3*m**2*(m - 3406)**2*(m + 1)
Factor -o**3/6 + 7423*o**2/2 - 14845*o/2 + 22267/6.
-(o - 22267)*(o - 1)**2/6
Factor -2*v**2/5 - 2154*v/5 - 32636.
-2*(v + 82)*(v + 995)/5
Factor -f**4 - 13578*f**3 - 40727*f**2 - 27150*f.
-f*(f + 1)*(f + 2)*(f + 13575)
Factor 3*u**4/7 + 83130*u**3/7 + 575799939*u**2/7 - 1151849280*u/7 + 575966208/7.
3*(u - 1)**2*(u + 13856)**2/7
Find l, given that l**4 - 102*l**3 - 10043*l**2 + 644844*l + 39967684 = 0.
-58, 109
Factor -p**2/2 + p - 1/2.
-(p - 1)**2/2
Let -5*j**5 + 2495*j**4 - 317430*j**3 + 1542530*j**2 - 2142725*j + 915135 = 0. Calculate j.
1, 3, 247
Find u, given that 4*u**5 - 640*u**4 + 9428*u**3 - 30776*u**2 + 35808*u - 13824 = 0.
1, 2, 12, 144
Determine d, given that -3*d**3 + 2385*d**2 + 21708*d = 0.
-9, 0, 804
Solve -5*o**4/4 + 15*o**3/4 + 1850*o**2 = 0 for o.
-37, 0, 40
Let -50*s**5 + 2505*s**4 - 9410*s**3 - 1095*s**2 + 8110*s - 2760 = 0. Calculate s.
-1, 1/2, 3/5, 4, 46
Factor 2*t**3/5 - 556*t**2/5 + 7946*t - 150152/5.
2*(t - 137)**2*(t - 4)/5
Factor -r**3 - 36355*r**2 + 581872*r - 2327744.
-(r - 8)**2*(r + 36371)
Factor -n**2/3 - 6823*n/3 + 6824/3.
-(n - 1)*(n + 6824)/3
Solve -78*v**5 + 7281*v**4 - 16662*v**3 + 735*v**2 + 7632*v + 1092 = 0.
-1/2, -2/13, 1, 2, 91
Suppose -18*n**4 - 133*n**3 - 473*n**2/3 - 140*n/3 - 4 = 0. Calculate n.
-6, -1, -2/9, -1/6
Factor -2*i**3/13 - 590*i**2/13 - 43806*i/13 - 43218/13.
-2*(i + 1)*(i + 147)**2/13
Find n, given that 2*n**4/7 - 18*n**3/7 - 76*n**2/7 + 576*n/7 + 1280/7 = 0.
-5, -2, 8
Find n, given that -5*n**5 + 10405*n**4 + 20830*n**3 + 10*n**2 - 20825*n - 10415 = 0.
-1, 1, 2083
Let -3*i**2 + 60537*i + 242196 = 0. What is i?
-4, 20183
Determine l so that 4*l**3 + 680*l**2 + 8900*l - 62000 = 0.
-155, -20, 5
Factor -2*o**3/7 - 82*o**2/7 - 856*o/7 - 200.
-2*(o + 2)*(o + 14)*(o +