late r.
1, 2, 12, 46
Find w such that -2*w**5 + 84*w**4 - 1152*w**3 + 5120*w**2 = 0.
0, 10, 16
Solve n**5/2 - n**4/2 - 5*n**3/2 + 5*n**2/2 + 2*n - 2 = 0.
-2, -1, 1, 2
Find z, given that 3*z**3 - 66*z**2 - 2709*z = 0.
-21, 0, 43
Factor -5*k**4 + 11290*k**3 - 8527500*k**2 + 2176875000*k - 16875000000.
-5*(k - 750)**3*(k - 8)
Factor 5*c**4/2 + 935*c**3 + 1865*c**2/2.
5*c**2*(c + 1)*(c + 373)/2
Factor 2*s**2/5 + 2018*s/5 - 167244/5.
2*(s - 77)*(s + 1086)/5
Suppose -5*g**2 - 56375*g + 56380 = 0. Calculate g.
-11276, 1
Solve 3*s**5/8 - 32691*s**4/4 - 3*s**3/4 + 32691*s**2/2 + 3*s/8 - 32691/4 = 0.
-1, 1, 21794
Factor -4*a**3/5 + 10908*a**2/5 - 32697*a/5 + 24516/5.
-(a - 2724)*(2*a - 3)**2/5
Factor 44402*g**3/13 - 45892*g**2/13 - 75456*g/13 - 20736/13.
2*(g - 2)*(149*g + 72)**2/13
Solve -4*m**2/7 + 19284*m/7 + 154528/7 = 0 for m.
-8, 4829
Factor -z**2 + 8258*z + 16520.
-(z - 8260)*(z + 2)
Suppose 4*b**3/3 + 1864*b**2/3 - 26116*b + 72720 = 0. Calculate b.
-505, 3, 36
Factor 2*p**2/3 + 438636*p - 1315910/3.
2*(p - 1)*(p + 657955)/3
Factor h**2 - 775*h - 76896.
(h - 864)*(h + 89)
Solve -3*k**5 - 360*k**4 - 8508*k**3 + 9234*k**2 + 8511*k - 8874 = 0 for k.
-87, -34, -1, 1
Factor y**2/4 + 2257*y/2 + 4510.
(y + 4)*(y + 4510)/4
Factor -l**2/5 + 3786*l - 17917245.
-(l - 9465)**2/5
Factor -i**2/6 - 17617*i/6 - 2936.
-(i + 1)*(i + 17616)/6
Solve 20*c**5 + 542*c**4 + 4584*c**3 + 16096*c**2 + 25120*c + 14496 = 0.
-151/10, -6, -2
Suppose 8*f**3/7 + 2814*f**2 - 56028*f - 99280/7 = 0. What is f?
-2482, -1/4, 20
Factor -5*p**2 + 3010*p - 46880.
-5*(p - 586)*(p - 16)
Let -4*h**2/7 + 1159388*h/7 + 1159392/7 = 0. Calculate h.
-1, 289848
Factor -b**3/5 + 888*b**2 - 4856592*b/5 - 159990272/5.
-(b - 2236)**2*(b + 32)/5
Let -n**4 + 46*n**3 - 161*n**2 - 304*n + 420 = 0. Calculate n.
-2, 1, 5, 42
Determine s so that -3*s**3 - 2463*s**2 + 37668*s + 40128 = 0.
-836, -1, 16
Find w, given that -3*w**4/7 + 456*w**3/7 + 2166*w**2 + 106560*w/7 - 122175/7 = 0.
-15, 1, 181
Suppose -5*p**4 - 26170*p**3 - 34606885*p**2 - 948585260*p = 0. Calculate p.
-2603, -28, 0
Suppose 3*g**3 + 46182*g**2 + 277011*g + 415476 = 0. What is g?
-15388, -3
Factor 2*w**3/9 - 6820*w**2/9 - 2*w/9 + 6820/9.
2*(w - 3410)*(w - 1)*(w + 1)/9
Solve k**4/2 + 2*k**3 - 146*k**2 + 280*k = 0.
-20, 0, 2, 14
Factor b**4/3 + 17*b**3 - 111*b**2 + 171*b.
b*(b - 3)**2*(b + 57)/3
Find f, given that -f**5/2 + 1441*f**4/2 - 205997*f**3 - 40363458*f**2 - 40156740*f = 0.
-130, -1, 0, 786
Find c, given that 3*c**3/7 + 969168*c**2/7 + 11181845025*c - 156549707046/7 = 0.
-161529, 2
Factor -i**2/3 - 702*i.
-i*(i + 2106)/3
Factor 2*u**2/3 - 776*u/3 + 28454/3.
2*(u - 347)*(u - 41)/3
Let y**5/4 - 160*y**4 - 2812*y**3 + 26003*y**2/2 - 67713*y/4 + 13797/2 = 0. What is y?
-21, 1, 2, 657
Factor 3*v**4/5 - 58599*v**3/5 + 381479472*v**2/5 - 827301463296*v/5 - 2485339287552/5.
3*(v - 6512)**3*(v + 3)/5
Factor 5*q**2 - 1341900*q + 90034780500.
5*(q - 134190)**2
Solve 14641*q**2 + 48400*q + 40000 = 0.
-200/121
Solve -3*y**4/8 - 45*y**3/8 + 171*y**2/2 + 912*y - 5760 = 0 for y.
-16, 5, 12
Let 2*k**2/5 - 574332*k/5 + 41232155778/5 = 0. What is k?
143583
Determine q so that 137*q**2 - 558*q + 40 = 0.
10/137, 4
Solve -3*j**2 - 753*j + 290430 = 0.
-461, 210
What is v in -2*v**4/13 + 370*v**3/13 + 1514*v**2/13 - 370*v/13 - 1512/13 = 0?
-4, -1, 1, 189
What is l in -l**5/2 + 8167*l**4/2 - 32648*l**3 + 97924*l**2 - 130552*l + 65272 = 0?
2, 8159
Factor -24*k**3 - 249628*k**2 - 499184*k - 249580.
-4*(k + 1)**2*(6*k + 62395)
Let r**5/3 - 13*r**4 + 479*r**3/3 - 1969*r**2/3 + 488*r + 3952/3 = 0. Calculate r.
-1, 4, 13, 19
Factor 3*o**3 + 37131*o**2 + 111366*o.
3*o*(o + 3)*(o + 12374)
Factor 2*f**4/13 - 2146*f**3/13 + 10680*f**2/13.
2*f**2*(f - 1068)*(f - 5)/13
Factor 4*h**2/5 - 94304*h/5 + 555827776/5.
4*(h - 11788)**2/5
Factor -3*a**4/4 - 15450*a**3 - 79536591*a**2 + 318393612*a.
-3*a*(a - 4)*(a + 10302)**2/4
Factor -2*o**2/3 + 750164*o/3 - 250054.
-2*(o - 375081)*(o - 1)/3
Determine y so that y**2/7 - 9545*y/7 + 28626/7 = 0.
3, 9542
Suppose 2*z**3 + 620*z**2 - 2522*z - 3140 = 0. What is z?
-314, -1, 5
Factor 2*f**2/9 - 2*f - 360.
2*(f - 45)*(f + 36)/9
Factor f**3/3 - 4*f**2/3 + f.
f*(f - 3)*(f - 1)/3
Factor -2*g**3/3 - 196*g**2/3 - 5440*g/3 - 46400/3.
-2*(g + 20)**2*(g + 58)/3
Factor 8*p**2/9 + 41010*p.
2*p*(4*p + 184545)/9
Solve -3*f**2/4 + 14691*f - 176265/4 = 0.
3, 19585
Factor -24094*y**2/3 + 6926*y/3 - 4.
-2*(7*y - 2)*(1721*y - 3)/3
Find o such that 291*o**5 - 6772*o**4/3 - 3183*o**3 - 1940*o**2/3 - 12*o = 0.
-1, -2/9, -2/97, 0, 9
Factor 88*m**5 + 1636*m**4 + 8064*m**3 + 4212*m**2.
4*m**2*(m + 9)**2*(22*m + 13)
Find j such that 5*j**2/3 - 130*j - 3465 = 0.
-21, 99
Solve f**4/3 - 810*f**3 - 9731*f**2/3 - 4056*f - 4868/3 = 0.
-2, -1, 2434
Factor -y**3/3 - 67*y**2 + 2569*y/3 + 923.
-(y - 13)*(y + 1)*(y + 213)/3
Let 2*h**3/11 + 26*h**2/11 - 1040*h/11 - 5600/11 = 0. Calculate h.
-28, -5, 20
Factor p**2/2 + 2963*p + 8779369/2.
(p + 2963)**2/2
Factor -4*b**2 + 10440*b.
-4*b*(b - 2610)
Factor -5*o**3 + 335*o**2 + 5050*o + 12000.
-5*(o - 80)*(o + 3)*(o + 10)
Let 3*c**5/4 + 8817*c**4/4 + 43893*c**3 + 315576*c**2 + 946080*c + 945756 = 0. Calculate c.
-2919, -6, -2
Factor 2*b**3/3 + 1220*b**2/3 - 2*b/3 - 1220/3.
2*(b - 1)*(b + 1)*(b + 610)/3
Solve -2*g**5 + 90*g**4 - 1190*g**3 + 4230*g**2 - 3128*g = 0 for g.
0, 1, 4, 17, 23
Suppose -4*s**2/5 - 7070112*s/5 - 3124155230784/5 = 0. What is s?
-883764
Determine p so that 3*p**5 + 597*p**4 + 11397*p**3 - 1830597*p**2 + 26988600*p + 28830000 = 0.
-124, -1, 25
Factor -2*m**2/7 + 328924*m/7 - 13523874722/7.
-2*(m - 82231)**2/7
Factor j**4/2 - 5*j**3 - 191*j**2/2 - 396*j - 504.
(j - 21)*(j + 3)*(j + 4)**2/2
Suppose -25*x**3 + 11545*x**2 + 108285*x + 21195 = 0. What is x?
-9, -1/5, 471
Let -4*v**3 + 2*v**2 + 580*v + 2464 = 0. Calculate v.
-8, -11/2, 14
Factor -2*h**4 + 14*h**3 + 174*h**2 + 298*h + 140.
-2*(h - 14)*(h + 1)**2*(h + 5)
Let -80*u**5 - 2440*u**4 - 17925*u**3 - 8510*u**2 - 1045*u = 0. What is u?
-19, -11, -1/4, 0
Let -3*m**2 + 230142*m - 4413778347 = 0. What is m?
38357
Find j, given that 2*j**4 - 194*j**3/9 + 280*j**2/9 + 8*j = 0.
-2/9, 0, 2, 9
Factor 20*l**2 - 187335*l - 984060.
5*(l - 9372)*(4*l + 21)
Factor 2*z**3/19 - 22*z**2/19 + 64*z/19 - 56/19.
2*(z - 7)*(z - 2)**2/19
Factor 6*t**3 - 481678*t**2 + 963350*t/3 - 160558/3.
2*(t - 80279)*(3*t - 1)**2/3
Find h such that -h**2/3 - 6332*h + 18997/3 = 0.
-18997, 1
Factor 4*q**3 + 5812908*q**2 + 2111871619980*q + 2111865807076.
4*(q + 1)*(q + 726613)**2
Factor -r**2/10 + 4843*r/5 - 29049/10.
-(r - 9683)*(r - 3)/10
Determine t, given that -4*t**4/3 - 22*t**3/3 + 168*t**2 + 1342*t/3 - 1820/3 = 0.
-13, -7/2, 1, 10
What is k in 3*k**3 + 6885*k**2 - 27576*k + 27588 = 0?
-2299, 2
Suppose 2*j**3 + 102*j**2 - 434*j + 330 = 0. What is j?
-55, 1, 3
Find y, given that 4*y**4 - 166328*y**3 + 2305860336*y**2 - 10663828338592*y + 85163136790784 = 0.
8, 13858
Factor 35*t**2 - 55695*t + 15910.
5*(t - 1591)*(7*t - 2)
Determine q so that 2*q**5/3 - 96620*q**4/3 + 96614*q**3/3 + 64412*q**2 = 0.
-1, 0, 2, 48309
Suppose -4*v**4 - 3012*v**3 - 108828*v**2 - 105820*v = 0. Calculate v.
-715, -37, -1, 0
Determine x so that 5*x**5 + 1110*x**4 + 14740*x**3 + 37610*x**2 + 35415*x + 11440 = 0.
-208, -11, -1
Factor 2*x**2 - 846*x + 6640.
2*(x - 415)*(x - 8)
Factor 2*p**2/3 + 4586*p/3 - 18376/3.
2*(p - 4)*(p + 2297)/3
What is o in -3*o**5 + 192*o**4 - 1302*o**3 - 2496*o**2 + 8145*o - 4536 = 0?
-3, 1, 9, 56
Suppose -a**5/4 + 749*a**3/2 + 5071*a**2 - 45057*a/4 + 5819 = 0. What is a?
-23, 1, 44
Factor -3*v**4/7 - 2307*v**3/7 - 9630*v**2 - 668100*v/7 - 2217000/7.
-3*(v + 10)**3*(v + 739)/7
Let -14*q**3 + 69380*q**2/3 - 28648984*q/3 - 2729104/3 = 0. Calculate q.
-2/21, 826
Factor y**4 - 781*y**3 + 152874*y**2 - 147420*y - 912600.
(y - 390)**2*(y - 3)*(y + 2)
Suppose -4*s**5/23 - 98*s**4/23 + 318*s**3/23 + 1310*s**2/23 + 358*s/23 - 540/23 = 0. What is s?
-27, -2, -1, 1/2, 5
Determine c, given that -c**5 - 79*c**4 + 1686*c**3 - 5764*c**2 + 5432*c = 0.
-97, 0, 2, 14
Factor -39*t**2/4 - 17391*t/4 - 25911/2.
-3*(t + 3)*(13*t + 5758)/4
Let -3*t**4 + 1755*t**3 - 15633*t**2 + 46737*t - 46656 = 0. What is t?
3, 576
Factor n**3 + 8659*n**2 + 34623*n + 25965.
(n + 1)*(n + 3)*(n + 8655)
Determine y so that 13*