37580100.
-4*(f + 85495)**2
Determine u so that 10*u**5 - 1061*u**4 - 20*u**3 + 2122*u**2 + 10*u - 1061 = 0.
-1, 1, 1061/10
Factor -4*w**2/3 + 448132*w/3.
-4*w*(w - 112033)/3
What is d in 105*d**4/8 + 8397*d**3/4 + 48495*d**2/8 - 1413*d/4 = 0?
-157, -3, 0, 2/35
Solve -5*t**2/3 + 23865*t = 0.
0, 14319
Factor m**3 - 4439*m**2 + 8875*m - 4437.
(m - 4437)*(m - 1)**2
Determine p so that 300*p**5 - 700*p**4 - 588*p**3 + 1164*p**2 + 800*p + 48 = 0.
-1, -3/5, -1/15, 2
Find q, given that -3*q**4/2 + 5124*q**3 - 40959*q**2/2 + 25593*q - 10236 = 0.
1, 2, 3412
Factor a**2/3 - 16336*a - 245065/3.
(a - 49013)*(a + 5)/3
Solve -2*x**3/9 - 68*x**2/3 - 488*x/3 + 3760/9 = 0 for x.
-94, -10, 2
Find s such that -20*s**3 - 12038312*s**2 - 1811509539952*s + 724605742112 = 0.
-300958, 2/5
Let 10*x**4 + 6865*x**3 - 51940*x**2 + 76415*x + 52050 = 0. What is x?
-694, -1/2, 3, 5
Factor -o**4/4 + 1985*o**3 - 7876479*o**2/2 - 7882435*o - 15768841/4.
-(o - 3971)**2*(o + 1)**2/4
Factor -j**3 + 7224*j**2 + 268657*j.
-j*(j - 7261)*(j + 37)
Solve 2*v**2/19 + 5222*v/19 + 5220/19 = 0.
-2610, -1
Let 2*a**5 + 160*a**4 + 462*a**3 - 8*a**2 - 616*a = 0. What is a?
-77, -2, 0, 1
Suppose -3*s**5/4 + 157*s**4/4 + 286*s**3 + 527*s**2 + 236*s = 0. What is s?
-4, -2, -2/3, 0, 59
Factor -2*r**2 - 1226*r - 36084.
-2*(r + 31)*(r + 582)
Factor c**2 + 17794*c + 53373.
(c + 3)*(c + 17791)
Factor -4*g**2 - 222424*g + 444864.
-4*(g - 2)*(g + 55608)
Factor 3*y**3 + 52863*y**2 - 952263*y + 4286277.
3*(y - 9)**2*(y + 17639)
Find a such that -a**2 - 12541*a - 325390 = 0.
-12515, -26
Solve j**2/6 - 97*j/3 + 2875/2 = 0.
69, 125
Determine a, given that 16*a**5 - 836*a**4 + 6636*a**3 + 25084*a**2 + 26836*a + 9240 = 0.
-1, 14, 165/4
Suppose -24*z**2 - 1108*z - 3268 = 0. What is z?
-43, -19/6
Factor -k**3/4 - 244*k**2 - 2919*k/4.
-k*(k + 3)*(k + 973)/4
Factor -5*m**2 + 1360*m + 5520.
-5*(m - 276)*(m + 4)
Factor 1068*d**2 - 36320*d + 272.
4*(d - 34)*(267*d - 2)
Factor 2*a**3/5 - 3566*a**2/5.
2*a**2*(a - 1783)/5
Factor y**2/2 + 24721*y/2 + 37077.
(y + 3)*(y + 24718)/2
Find m, given that -m**2/4 + 21451*m/4 + 5363 = 0.
-1, 21452
Factor -g**2/6 + 23845*g/6 - 39725.
-(g - 23835)*(g - 10)/6
Factor -2*u**3/3 + 1342*u**2/3 - 1340*u/3.
-2*u*(u - 670)*(u - 1)/3
What is f in 140*f**5 - 355*f**4 - 3725*f**3 - 7355*f**2 - 5655*f - 1530 = 0?
-2, -1, -3/4, 51/7
Factor 3*m**2/5 + 18*m + 627/5.
3*(m + 11)*(m + 19)/5
Let -2*a**3/5 - 28024*a**2/5 - 33618*a - 252108/5 = 0. Calculate a.
-14006, -3
Find m such that -3*m**4 - 132*m**3 - 342*m**2 + 1092*m - 615 = 0.
-41, -5, 1
Factor -5*d**2 + 66880*d.
-5*d*(d - 13376)
Determine g so that 4*g**5/9 + 3064*g**4/3 + 5335604*g**3/9 + 6988048*g**2 + 11612880*g = 0.
-1143, -10, -2, 0
Find v such that 4*v**2 + 236312*v + 3490210084 = 0.
-29539
Factor s**4 + 43*s**3 + 260*s**2 - 700*s.
s*(s - 2)*(s + 10)*(s + 35)
Let -3*s**3/7 + 36153*s**2/7 + 3*s/7 - 36153/7 = 0. What is s?
-1, 1, 12051
Suppose 2*b**5/5 + 6864*b**4/5 + 2744*b**3 - 4*b**2/5 - 13722*b/5 - 1372 = 0. What is b?
-3430, -1, 1
Determine r, given that r**2/4 - 100*r - 19049/4 = 0.
-43, 443
Suppose y**3/2 + 311*y**2/2 + 1020*y - 2018376 = 0. What is y?
-204, 97
Factor -3*y**2 + 113550*y - 1074466875.
-3*(y - 18925)**2
Suppose 2*p**4/17 - 134*p**3/17 - 2726*p**2/17 + 5846*p/17 - 2988/17 = 0. What is p?
-18, 1, 83
Factor 3*m**3/4 + 1305*m**2/4 + 15201*m/2 - 35670.
3*(m - 4)*(m + 29)*(m + 410)/4
What is v in v**4/3 + 64*v**3/3 - 1207*v**2/3 + 5750*v/3 - 2400 = 0?
-80, 2, 5, 9
Factor 2*l**3 + 33568*l**2 + 67130*l + 33564.
2*(l + 1)**2*(l + 16782)
Suppose a**4 + 93*a**3 + 1163*a**2 - 9597*a + 15732 = 0. What is a?
-76, -23, 3
Find m, given that -m**3/3 + 92*m**2/3 + 697*m + 666 = 0.
-18, -1, 111
Factor 2*q**3/3 - 310*q**2/3 - 4396*q/3 + 1568.
2*(q - 168)*(q - 1)*(q + 14)/3
Suppose 3*a**5 + 5169*a**4 + 2079777*a**3 - 126517461*a**2 + 1730242920*a + 1858834992 = 0. Calculate a.
-889, -1, 28
Find z such that -15*z**4 + 63717*z**3 - 67785156*z**2 + 256613460*z + 54034608 = 0.
-1/5, 4, 2122
Factor o**3 + 5459*o**2.
o**2*(o + 5459)
Factor -3*i**4 + 1386*i**3 + 4185*i**2.
-3*i**2*(i - 465)*(i + 3)
Suppose -2*m**4/3 - 2*m**3 + 4*m**2 + 16*m/3 = 0. Calculate m.
-4, -1, 0, 2
Factor 8*q**2 - 3428*q - 13840.
4*(q + 4)*(2*q - 865)
Determine i so that -3*i**5/4 - 25*i**4/4 + 239*i**3/4 + 541*i**2/4 + 70*i = 0.
-40/3, -1, 0, 7
Factor -m**2 - 151*m - 2160.
-(m + 16)*(m + 135)
Solve 3*t**5 + 125*t**4 - 13614*t**3 - 635346*t**2 - 412885*t + 208725 = 0.
-55, -1, 1/3, 69
Let 2*o**3/5 - 1706*o**2/5 - 67572*o/5 - 128304/5 = 0. Calculate o.
-36, -2, 891
Suppose -3*y**2 - 801*y - 6966 = 0. What is y?
-258, -9
Find q, given that 4*q**2 + 123277*q + 30819 = 0.
-30819, -1/4
Find m, given that -m**2 + 36*m - 155 = 0.
5, 31
Let 3*h**2/2 - 868*h + 578 = 0. What is h?
2/3, 578
Factor z**5/6 - 469*z**4/6 + 73235*z**3/6 - 3807767*z**2/6.
z**2*(z - 167)*(z - 151)**2/6
Factor l**3/2 + 2378*l**2 + 5659637*l/2 + 5650129.
(l + 2)*(l + 2377)**2/2
Factor -3*w**2 + 2364*w - 7065.
-3*(w - 785)*(w - 3)
Solve 4*i**2/7 + 4120*i + 28812 = 0 for i.
-7203, -7
Determine i, given that 16*i**3 - 1884*i**2 + 15224*i + 3924 = 0.
-1/4, 9, 109
Solve -3*u**3/8 - 939*u**2/4 + 32847*u/8 + 17361/4 = 0 for u.
-643, -1, 18
Let -2*q**3/17 + 990*q**2/17 - 17334*q/17 + 77274/17 = 0. Calculate q.
9, 477
Find l, given that -5*l**2 - 3145*l + 81750 = 0.
-654, 25
Factor 2*h**3/7 - 5590*h**2/7 - 5592*h/7.
2*h*(h - 2796)*(h + 1)/7
Determine l, given that 46*l**3/5 + 86*l**2/5 - 12*l/5 = 0.
-2, 0, 3/23
Factor -s**3 + 30021*s**2 - 30020*s.
-s*(s - 30020)*(s - 1)
Determine j, given that 2*j**3 - 3186*j**2 - 6378*j - 3190 = 0.
-1, 1595
Solve 3*y**5/4 - 6*y**4 - 63*y**3 + 384*y**2 + 960*y = 0.
-8, -2, 0, 8, 10
Suppose -10*h**2/11 + 3708*h - 32624/11 = 0. What is h?
4/5, 4078
Suppose -26*x**5/3 - 26938*x**4 - 20908500*x**3 + 111509068*x**2/3 + 72559410*x + 14508150 = 0. Calculate x.
-1555, -1, -3/13, 3
Let -7*g**3/2 + 4133*g**2/2 - 5893*g/2 + 1767/2 = 0. Calculate g.
3/7, 1, 589
Solve -t**3/2 - 43*t**2/2 + 146*t + 3542 = 0 for t.
-46, -11, 14
Factor m**2/10 + 51484*m/5 - 102969/10.
(m - 1)*(m + 102969)/10
Solve 585*o**5 + 30837*o**4 - 8931*o**3 - 1425*o**2 + 318*o = 0 for o.
-53, -1/5, 0, 2/13, 1/3
Factor h**4/5 - 31*h**3/5 - 2146*h**2/5 + 2176*h/5.
h*(h - 64)*(h - 1)*(h + 34)/5
Suppose -132*m**5 - 1226*m**4 - 3508*m**3 - 3006*m**2 - 560*m + 32 = 0. Calculate m.
-4, -1, -1/3, 1/22
Factor -3*z**3 - 52743*z**2 - 231686757*z + 1159752735.
-3*(z - 5)*(z + 8793)**2
Find m such that -4*m**5/7 + 12888*m**4/7 + 25840*m**3/7 - 154808*m**2/7 + 180564*m/7 - 64480/7 = 0.
-5, 1, 3224
Suppose 2*g**2/9 - 116*g/9 - 496/9 = 0. What is g?
-4, 62
Factor -5*i**2 + 295*i - 1100.
-5*(i - 55)*(i - 4)
Find t, given that t**3/5 - 5131*t**2/5 + 1316871*t - 1315845 = 0.
1, 2565
Suppose 29*s**2/2 - 134*s/3 + 7/2 = 0. What is s?
7/87, 3
Find b, given that -2*b**2/13 + 14982*b/13 - 3456 = 0.
3, 7488
Determine n so that 63*n**4 + 1641*n**3 - 11688*n**2 + 9924*n - 1920 = 0.
-32, 2/7, 2/3, 5
Solve 2*w**5 - 266*w**4 + 9488*w**3 - 43016*w**2 + 66560*w - 32768 = 0 for w.
1, 2, 64
Let 3*b**5 + 2169*b**4 - 2190*b**3 - 13032*b**2 = 0. What is b?
-724, -2, 0, 3
Factor 44*f**3 + 2864*f**2 + 8272*f - 9920.
4*(f + 4)*(f + 62)*(11*f - 10)
Suppose 3*y**3 + 1017*y**2 - 6195*y + 5175 = 0. Calculate y.
-345, 1, 5
Factor -75*i**4/2 + 5835*i**3 - 439743*i**2/2 - 553158*i - 337014.
-3*(i - 79)**2*(5*i + 6)**2/2
Factor 4*r**2 + 106872*r + 106868.
4*(r + 1)*(r + 26717)
Find j such that -7*j**2 + 129*j + 136 = 0.
-1, 136/7
Factor -3*v**3 - 2061*v**2 - 20310*v.
-3*v*(v + 10)*(v + 677)
Determine a, given that 5*a**3 - 13275*a**2 + 79515*a - 119205 = 0.
3, 2649
Factor -v**3/3 + 104*v**2/3 + 1661*v/3 - 5460.
-(v - 117)*(v - 7)*(v + 20)/3
Factor -v**2/4 + 93*v/4 + 47/2.
-(v - 94)*(v + 1)/4
Factor 2*o**2/3 + 19010*o/3 - 19012/3.
2*(o - 1)*(o + 9506)/3
Determine z, given that z**3 + 9904*z**2 + 24532205*z + 49024802 = 0.
-4951, -2
Factor -5*h**3 + 4870*h**2 - 618460*h - 304016440.
-5*(h - 578)**2*(h + 182)
Factor b**2/6 - 105215*b/3 + 11070196225/6.
(b - 105215)**2/6
Determine g so that -g**2/2 + 193*g - 1512 = 0.
8, 378
Factor 3*k**4 + 1543647*k**3 - 3087303*k**2 + 1543653*k.
3*k*(k - 1)**2*(k + 514551)
Factor 2*q**2 - 1010*q - 6132.
2*(q - 511)*(q + 6)
Suppose -2