8
Determine h so that 5*h**3 - 355445*h**2 + 6317945920*h - 31580844100 = 0.
5, 35542
Factor 3*f**2/4 - 44487*f/4 - 33372.
3*(f - 14832)*(f + 3)/4
Factor -4*w**3 + 540*w**2 + 5128*w + 8064.
-4*(w - 144)*(w + 2)*(w + 7)
Find l such that 98*l**2/3 - 45280*l/9 + 616/9 = 0.
2/147, 154
Determine x so that x**5/10 + 2*x**4 - 9*x**3/2 - 2*x**2 + 22*x/5 = 0.
-22, -1, 0, 1, 2
Factor -3*u**2/7 + 51525*u/7 + 103062/7.
-3*(u - 17177)*(u + 2)/7
Suppose -64*m**3/5 + 656*m**2/5 - 1961*m/5 + 1369/5 = 0. Calculate m.
1, 37/8
Find f such that f**5/6 - 3013*f**4/6 - 3017*f**3/6 + 9041*f**2/6 + 1508*f/3 - 3014/3 = 0.
-2, -1, 1, 3014
Let 31359*p**5/5 + 62717*p**4/5 + 31357*p**3/5 - p**2/5 = 0. Calculate p.
-1, 0, 1/31359
What is i in -6*i**5/7 - 170*i**4/7 - 86*i**3 + 538*i**2/7 + 240*i/7 = 0?
-24, -5, -1/3, 0, 1
Let -2*l**2/5 + 326*l/5 - 2584 = 0. Calculate l.
68, 95
Factor 9*f**4 + 5556*f**3 + 7396*f**2 + 2464*f.
f*(f + 616)*(3*f + 2)**2
Suppose c**5 - 2176*c**4 + 1148468*c**3 + 38322832*c**2 + 373664256*c + 955551744 = 0. What is c?
-14, -4, 1104
Factor 3*d**2/5 - 275856*d/5 + 275853/5.
3*(d - 91951)*(d - 1)/5
Factor 2*w**4/3 - 44*w**3 + 384*w**2 - 1792*w/3.
2*w*(w - 56)*(w - 8)*(w - 2)/3
Factor 3*x**4 - 159*x**3 + 2136*x**2 + 6336*x - 179712.
3*(x - 24)**2*(x - 13)*(x + 8)
Factor 3*m**3 - 12240*m**2 + 231417*m + 243660.
3*(m - 4061)*(m - 20)*(m + 1)
Suppose -2*r**5 + 196*r**4/3 - 94*r**3/3 - 368*r**2 + 472*r/3 + 1280/3 = 0. What is r?
-2, -1, 5/3, 2, 32
Factor -r**4/4 + 9*r**3/4 + 3*r**2/4 - 29*r/4 + 9/2.
-(r - 9)*(r - 1)**2*(r + 2)/4
Suppose -n**5 - 444*n**4 - 48381*n**3 + 202030*n**2 + 142464*n - 903168 = 0. Calculate n.
-224, -2, 3
What is b in -2*b**2/17 + 878*b/17 - 16760/17 = 0?
20, 419
Solve 4*g**5/7 - 24*g**4/7 - 104*g**3/7 + 624*g**2/7 + 100*g/7 - 600/7 = 0.
-5, -1, 1, 5, 6
What is t in -4*t**3/3 + 5264*t**2/3 + 10576*t/3 - 42176/3 = 0?
-4, 2, 1318
Factor -4*i**4 + 9044*i**3 + 18100*i**2 + 9052*i.
-4*i*(i - 2263)*(i + 1)**2
Determine h, given that -2*h**2/15 + 209218*h/15 + 13948 = 0.
-1, 104610
Factor -3*b**3/2 + 9777*b**2/2 - 7872117*b/2 - 153120297/2.
-3*(b - 1639)**2*(b + 19)/2
Let 2*p**3 - 4652*p**2 + 655640*p - 23853456 = 0. What is p?
74, 2178
Factor -30*s**3 - 235*s**2 + 370*s + 4200.
-5*(s - 4)*(s + 6)*(6*s + 35)
Factor 3*s**3 + 150*s**2 + 1989*s + 4698.
3*(s + 3)*(s + 18)*(s + 29)
Factor -2*i**2/7 - 75876*i/7 + 75878/7.
-2*(i - 1)*(i + 37939)/7
Suppose -g**3/7 - 139*g**2/7 - 385*g - 14157/7 = 0. Calculate g.
-117, -11
Let -x**4/2 + 67*x**3/10 + 37*x**2/5 - 46*x + 84/5 = 0. What is x?
-3, 2/5, 2, 14
Factor -3*f**2/2 + 405*f + 87756.
-3*(f - 412)*(f + 142)/2
Find i, given that -2*i**5/3 + 4486*i**4/3 - 2988*i**3 = 0.
0, 2, 2241
Factor -p**3 + 573662*p**2 - 82272022561*p.
-p*(p - 286831)**2
Solve 2*h**2/11 - 122472*h/11 + 1874923848/11 = 0.
30618
Factor -3*h**3/4 - 26601*h**2/2 - 106395*h/4 - 13299.
-3*(h + 1)**2*(h + 17732)/4
Factor -4*m**3 - 18544*m**2 + 55660*m - 37112.
-4*(m - 2)*(m - 1)*(m + 4639)
Let 20*o**4 + 19992*o**3 + 229120*o**2 - 94848*o = 0. Calculate o.
-988, -12, 0, 2/5
Find j such that -2*j**5/19 + 120*j**4/19 - 2506*j**3/19 + 20580*j**2/19 - 49392*j/19 = 0.
0, 4, 14, 21
Factor -2*o**4 + 24276*o**3 - 73592658*o**2 - 442211616*o - 663645312.
-2*(o - 6072)**2*(o + 3)**2
Let -4*u**3 + 1480*u**2 - 100036*u = 0. What is u?
0, 89, 281
Find j, given that 3*j**2/5 - 183*j = 0.
0, 305
Suppose 5*l**5 + 65*l**4 - 510*l**3 + 1100*l**2 - 760*l = 0. Calculate l.
-19, 0, 2
Determine q, given that -q**5 - 9647*q**4/2 - 5810505*q**3 + 29103193*q**2/2 - 5822569*q = 0.
-2413, 0, 1/2, 2
What is k in k**3/4 - 47*k**2 - 8627*k/4 + 4407/2 = 0?
-39, 1, 226
Factor y**3/4 - 11843*y**2/4 + 141959*y/4 + 153803/4.
(y - 11831)*(y - 13)*(y + 1)/4
What is a in -4*a**4 + 564*a**3 - 3276*a**2 + 4860*a = 0?
0, 3, 135
Factor f**4/5 - 2*f**3/5 - 11*f**2/5 + 12*f/5.
f*(f - 4)*(f - 1)*(f + 3)/5
Factor -i**2/3 - 329918*i/3 + 109973.
-(i - 1)*(i + 329919)/3
Solve 2*t**5/11 - 42*t**4/11 + 244*t**3/11 + 360*t**2/11 - 7344*t/11 + 17280/11 = 0 for t.
-5, 6, 8
Factor g**3/2 - 210*g**2 - 2983*g/2 - 1281.
(g - 427)*(g + 1)*(g + 6)/2
Let h**5/10 + 15*h**4 + 5313*h**3/10 - 11858*h**2/5 = 0. Calculate h.
-77, 0, 4
Let -9*f**5 - 1736*f**4 - 82742*f**3 + 93896*f**2 - 9409*f = 0. Calculate f.
-97, 0, 1/9, 1
Factor 320356*r**2/5 + 649768*r/5 + 329476/5.
4*(283*r + 287)**2/5
Let 7*y**3/3 + 766*y**2/3 + 6871*y + 2898 = 0. Calculate y.
-63, -46, -3/7
Factor 3*d**3/7 - 5679*d**2/7 + 2673333*d/7 + 13509015/7.
3*(d - 949)**2*(d + 5)/7
Find t, given that 2*t**3/5 + 3368*t**2/5 + 40128*t/5 = 0.
-1672, -12, 0
Determine u, given that 3*u**5 - 522*u**4 + 20679*u**3 + 214740*u**2 - 3150900*u + 2916000 = 0.
-15, 1, 8, 90
What is x in x**2/4 + 1763*x/4 + 11375/2 = 0?
-1750, -13
Factor r**4 + 1848*r**3 - 1850*r**2 - 1848*r + 1849.
(r - 1)**2*(r + 1)*(r + 1849)
Let -4*j**5/5 + 352*j**4/5 - 8412*j**3/5 + 29232*j**2/5 - 21168*j/5 = 0. What is j?
0, 1, 3, 42
Factor -u**2/2 + 16801*u - 282273601/2.
-(u - 16801)**2/2
Suppose -2*h**2/11 + 166*h/11 = 0. What is h?
0, 83
Suppose -16*r**4 + 103*r**3 + 63*r**2 = 0. What is r?
-9/16, 0, 7
Factor 5*u**3/4 + 7375*u**2/2 + 10878125*u/4.
5*u*(u + 1475)**2/4
Suppose -j**2 + 204*j - 10148 = 0. What is j?
86, 118
Factor 2*r**2/11 - 70140*r/11 + 614952450/11.
2*(r - 17535)**2/11
Factor -2*q**2/5 - 4578*q/5 - 9148/5.
-2*(q + 2)*(q + 2287)/5
Factor 5*c**3 + 5455*c**2 + 5420*c - 32700.
5*(c - 2)*(c + 3)*(c + 1090)
Factor -d**2/9 - 14426*d/3 - 52027369.
-(d + 21639)**2/9
Solve -4*g**4 - 80912*g**3 - 242712*g**2 - 242704*g - 80900 = 0 for g.
-20225, -1
Factor -165*t**2 - 5800*t + 5040.
-5*(t + 36)*(33*t - 28)
Determine o so that o**5 - 69*o**4 - 999*o**3 + 2201*o**2 - 1134*o = 0.
-14, 0, 1, 81
Find r, given that -4*r**5 + 124*r**4 - 876*r**3 + 324*r**2 + 9504*r - 9072 = 0.
-3, 1, 6, 21
Factor 10*o**2 + 132535*o + 66265.
5*(o + 13253)*(2*o + 1)
Suppose 2*k**5/7 - 34*k**4/7 - 2*k**3/7 + 1426*k**2/7 + 240*k/7 - 11232/7 = 0. What is k?
-4, 3, 9, 13
Factor -4*q**4 + 6328*q**3 - 2819460*q**2 + 242020800*q.
-4*q*(q - 735)**2*(q - 112)
Factor 5*f**2 + 55260*f - 1551200.
5*(f - 28)*(f + 11080)
Solve -2*j**3/21 + 3464*j**2/21 - 27616*j/21 + 55168/21 = 0.
4, 1724
Determine z so that -3*z**4/8 - 423*z**3/8 - 105*z**2/2 = 0.
-140, -1, 0
Factor 2*g**2/17 + 2*g - 616/17.
2*(g - 11)*(g + 28)/17
Find o such that -4*o**4 - 3512*o**3 + 21196*o**2 - 17728*o - 42432 = 0.
-884, -1, 3, 4
Factor -k**2/2 - 93*k/2 - 378.
-(k + 9)*(k + 84)/2
Factor -2*c**2/7 - 243836*c/7 - 7431999362/7.
-2*(c + 60959)**2/7
Suppose -1250*i**3/7 - 450*i**2/7 + 7722*i/7 - 6534/7 = 0. What is i?
-3, 33/25
Factor -l**4/2 - 1068*l**3 - 569243*l**2 + 1141692*l - 1142761/2.
-(l - 1)**2*(l + 1069)**2/2
Find d such that -418*d**5/3 - d**4 + 836*d**3 + 3362*d**2/3 + 426*d + 3 = 0.
-1, -3/418, 3
Solve 2*d**3/5 - 98956*d**2/5 + 197882*d - 494680 = 0.
5, 49468
Let 4*p**4/5 + 1612*p**3/5 + 7992*p**2/5 + 12752*p/5 + 6368/5 = 0. Calculate p.
-398, -2, -1
Factor -2*a**3 - 306*a**2 + 10500*a - 10192.
-2*(a - 28)*(a - 1)*(a + 182)
Solve -7*o**4/9 - 53*o**3/3 + 1474*o**2/9 - 556*o/3 + 40 = 0.
-30, 2/7, 1, 6
Determine k, given that -5*k**3/2 + 85*k**2 + 3845*k/2 - 4165 = 0.
-17, 2, 49
Let -p**5/3 + 131*p**4/3 - 137*p**3 - 12323*p**2/3 + 412*p/3 + 4064 = 0. What is p?
-8, -1, 1, 12, 127
Suppose 4*v**5 - 56*v**4 - 500*v**3 + 11192*v**2 - 49840*v + 39200 = 0. Calculate v.
-14, 1, 7, 10
Determine g, given that 14161*g**4/8 - 14637*g**3/2 + 15129*g**2/2 = 0.
0, 246/119
Solve -y**4 - 758*y**3 - 139752*y**2 + 1492992*y + 3538944 = 0.
-384, -2, 12
Let -6*l**3/7 + 31641*l**2/7 - 41706792*l/7 - 20861307/7 = 0. Calculate l.
-1/2, 2637
Factor -f**3/2 - 10665*f**2/2 - 14209776*f + 42677334.
-(f - 3)*(f + 5334)**2/2
Factor f**5/5 - 1404*f**4/5 + 130848*f**3 - 19969360*f**2 - 124587600*f.
f*(f - 470)**3*(f + 6)/5
Factor a**3/8 - 327*a**2/8 + 1931*a/8 - 1605/8.
(a - 321)*(a - 5)*(a - 1)/8
Find r such that 2*r**2/7 + 11734*r/7 - 11736/7 = 0.
-5868, 1
Let -f**2 - 234*f - 13545 = 0. Calculate f.
-129, -105
Solve 2*x**4 + 5922*x**3 + 6265554*x**2 + 2719533350*x + 377419273716 = 0 for x.
-901, -258
Find z, given that z**3/2 + 109*z**2/2 - 7349*z + 14476 = 0.
-188, 2, 77
Find y such that -y**4/5 + 1068*y**3/5 - 70518*y**2/5 + 319516*y - 12154833/5 = 0.