3/4, 782
Find u such that -3*u**4/5 + 108*u**3 - 33804*u**2/5 + 171072*u - 7527168/5 = 0.
24, 66
Let 2*v**4/11 - 70*v**3/11 - 25548*v**2/11 - 964288*v/11 - 5526976/11 = 0. What is v?
-52, -7, 146
Let 3*s**3/7 - 360*s**2/7 + 4524*s/7 - 7632/7 = 0. Calculate s.
2, 12, 106
Factor 5*r**3 + 18605*r**2 - 111765*r + 167715.
5*(r - 3)**2*(r + 3727)
Let -256*v**5 + 7040*v**4 - 3476*v**3 + 541*v**2 - 27*v = 0. What is v?
0, 1/8, 1/4, 27
Find q such that 2*q**5 - 14*q**4 - 130*q**3 + 1542*q**2 - 5040*q + 5400 = 0.
-10, 3, 5, 6
Find z such that -4*z**3 + 744*z**2 - 740*z = 0.
0, 1, 185
Factor -f**2/5 + 1888*f/5 + 11364/5.
-(f - 1894)*(f + 6)/5
Find f, given that 5*f**4/4 + 205*f**3/2 + 6535*f**2/4 - 7375*f/2 = 0.
-59, -25, 0, 2
Factor -3*k**3/5 + 14151*k**2/5 - 16680489*k/5 - 16694643/5.
-3*(k - 2359)**2*(k + 1)/5
What is h in -15*h**2 - 13173*h + 10548 = 0?
-879, 4/5
Find f, given that 2*f**4/7 + 1422*f**3/7 - 80986*f**2/7 - 1422*f/7 + 80984/7 = 0.
-764, -1, 1, 53
Determine r so that -81*r**4/4 + 1629*r**3 - 29341*r**2 - 137560*r - 144400 = 0.
-2, 380/9
Solve 4*i**2 + 3645744*i + 830715582096 = 0 for i.
-455718
Find o such that -o**5/3 - 31*o**4 - 2261*o**3/3 - 2049*o**2 - 1326*o = 0.
-51, -39, -2, -1, 0
Solve 560*p**4 - 888200*p**3 + 950955*p**2 + 71460*p - 213975 = 0 for p.
-3/7, 3/4, 1585
Determine n, given that -n**2/8 - 8533*n/4 + 17067/8 = 0.
-17067, 1
What is d in d**3 + 9*d**2 - 54*d - 216 = 0?
-12, -3, 6
Suppose l**2/4 - 494246*l + 244279108516 = 0. What is l?
988492
Factor 4*b**3/5 + 5296*b**2/5 - 4*b/5 - 5296/5.
4*(b - 1)*(b + 1)*(b + 1324)/5
Let -2*o**2/3 - 632*o - 7552/3 = 0. Calculate o.
-944, -4
Factor -7*a**2/4 + 5716*a - 1633.
-(a - 3266)*(7*a - 2)/4
Determine l, given that l**5 + 35*l**4 + 375*l**3 + 1125*l**2 = 0.
-15, -5, 0
Factor 2*j**4 + 184*j**3 + 4230*j**2 - 184*j - 4232.
2*(j - 1)*(j + 1)*(j + 46)**2
Find n such that 2*n**4 - 65680*n**3 - 131370*n**2 + 65680*n + 131368 = 0.
-2, -1, 1, 32842
Factor -4*u**2 + 22428*u.
-4*u*(u - 5607)
Solve -2116*i**4 - 798008*i**3 - 76032052*i**2 - 149678544*i - 74442384 = 0.
-4314/23, -1
Find m such that m**4/2 - 217*m**3/2 + 425*m**2/2 + 1081*m/2 - 645 = 0.
-2, 1, 3, 215
What is j in 2*j**2 - 961928*j + 115663184648 = 0?
240482
Factor n**2 - 18084*n + 90395.
(n - 18079)*(n - 5)
Suppose 2*g**4/9 - 56*g**3/3 + 466*g**2/9 + 180*g = 0. Calculate g.
-2, 0, 5, 81
Determine x so that x**2 + 110*x + 1800 = 0.
-90, -20
Determine s, given that -25*s**3 + 35590*s**2 - 92335*s - 42630 = 0.
-2/5, 3, 1421
Factor 4*m**3 + 26856*m**2 - 107508*m - 134360.
4*(m - 5)*(m + 1)*(m + 6718)
Factor -3*n**3 + 9273*n**2 - 46308*n + 55548.
-3*(n - 3086)*(n - 3)*(n - 2)
Find l such that -l**4/3 + 115*l**3/3 - 1936*l**2/3 + 3648*l - 6144 = 0.
3, 8, 96
Let -3*o**5 - 39*o**4 + 1005*o**3 - 3393*o**2 + 2430*o = 0. What is o?
-27, 0, 1, 3, 10
Let 6*n**5/13 + 170*n**4/13 + 320*n**3/13 - 1160*n**2/13 - 32*n = 0. Calculate n.
-26, -4, -1/3, 0, 2
Solve -84270*r**4 - 730976*r**3 + 1236484*r**2/5 + 9488*r/5 + 18/5 = 0 for r.
-9, -1/265, 1/3
Let 186156309237*m**4/2 - 93007623054*m**3 - 70513749*m**2 - 17814*m - 3/2 = 0. What is m?
-1/3959, 1
Factor q**2 + 10394*q + 352240.
(q + 34)*(q + 10360)
Suppose -22*z**3/25 - 898*z**2/25 + 244*z/25 + 656/5 = 0. What is z?
-41, -20/11, 2
Solve -z**5 - 16925*z**4 - 71622368*z**3 - 71605444*z**2 = 0 for z.
-8462, -1, 0
Factor -5*j**3 - 255*j**2 - 370*j + 5880.
-5*(j - 4)*(j + 6)*(j + 49)
Let -9*c**5 + 1005*c**4 + 26532*c**3 + 54228*c**2 - 48240*c = 0. What is c?
-20, -3, 0, 2/3, 134
Factor 2*k**4 + 1472*k**3 + 270846*k**2 - 1472*k - 270848.
2*(k - 1)*(k + 1)*(k + 368)**2
Factor 2*f**2/7 + 412*f/7 - 8550/7.
2*(f - 19)*(f + 225)/7
What is p in -p**4/5 + 102*p**3 - 2699*p**2 - 102*p + 13496/5 = 0?
-1, 1, 28, 482
Let 2*t**2/19 - 590*t/19 - 6732/19 = 0. Calculate t.
-11, 306
Factor 2*v**3/11 + 1978*v**2/11 + 44370*v - 44550.
2*(v - 1)*(v + 495)**2/11
Factor -2*g**2/11 + 196204*g/11 - 588594/11.
-2*(g - 98099)*(g - 3)/11
Factor -2*u**2/11 - 2368*u/11 + 8214.
-2*(u - 37)*(u + 1221)/11
Solve -5*j**4 - 1100*j**3 + 7885*j**2 - 13620*j = 0.
-227, 0, 3, 4
Factor -g**2 - 107*g + 122808.
-(g - 301)*(g + 408)
Factor -2*w**4 - 51542*w**3 - 331943328*w**2 + 1661005440*w.
-2*w*(w - 5)*(w + 12888)**2
Factor -l**3/4 - 39875*l**2/4 + 1356617*l/4 - 11533701/4.
-(l - 17)**2*(l + 39909)/4
Factor -2*v**4 + 64188*v**3 - 515012418*v**2.
-2*v**2*(v - 16047)**2
Find q such that -45*q**3 - 1059*q**2 - 548*q + 92 = 0.
-23, -2/3, 2/15
Factor o**3/4 - 9*o**2/4 - 1397*o/2 + 15834.
(o - 39)*(o - 28)*(o + 58)/4
Suppose -4*a**3 - 120*a**2 + 4*a + 120 = 0. What is a?
-30, -1, 1
Find w, given that -w**2 + 39*w - 360 = 0.
15, 24
Factor 53144100*v**3/7 + 91095840*v**2 - 699824*v/7 + 192/7.
4*(v + 12)*(3645*v - 2)**2/7
Determine i, given that 3*i**4 + 12654*i**3 + 13088163*i**2 - 538807320*i + 5439169200 = 0.
-2129, 20
Determine d so that 5*d**5 + 345*d**4 - 1445*d**3 + 1115*d**2 + 1440*d - 1460 = 0.
-73, -1, 1, 2
Solve 4*t**3/5 - 3052*t**2/5 + 128448*t - 4458240 = 0.
43, 360
What is k in 2*k**3 - 1308*k**2 + 218994*k - 1669264 = 0?
8, 323
Let -4*r**4 + 28960*r**3 - 69870816*r**2 + 56129478272*r + 112538671552 = 0. Calculate r.
-2, 2414
Suppose 75*u**4 + 3260*u**3 + 1499*u**2 - 258*u = 0. Calculate u.
-43, -3/5, 0, 2/15
Determine y so that -24*y**4/7 - 885*y**3/7 + 135*y**2/7 + 885*y/7 - 111/7 = 0.
-37, -1, 1/8, 1
Factor -3*g**5 + 36*g**4 - 60*g**3.
-3*g**3*(g - 10)*(g - 2)
Let -22*i**5 + 839394*i**4 - 8006731362*i**3 + 2183591574*i**2 = 0. What is i?
0, 3/11, 19077
Factor -251*q**3/6 + 7070*q**2 - 169*q/6.
-q*(q - 169)*(251*q - 1)/6
What is v in 2*v**2/5 + 1006984*v/5 + 126752097032/5 = 0?
-251746
Factor x**3/3 + 673*x**2/3 - 676*x.
x*(x - 3)*(x + 676)/3
Factor 5*c**2 + 6901080*c + 2381245258320.
5*(c + 690108)**2
Determine w so that -4*w**5/5 - 532*w**4/5 + 12456*w**3/5 - 14704*w**2 + 12320*w = 0.
-154, 0, 1, 10
Let -7*h**2/2 + 6218389*h/2 - 888341 = 0. What is h?
2/7, 888341
Let 3*i**2 - 108*i - 4071 = 0. Calculate i.
-23, 59
Let g**3 + 6765*g**2 - 20302*g + 13536 = 0. Calculate g.
-6768, 1, 2
Find f, given that -2*f**4/15 - 332*f**3/15 + 2422*f**2/15 = 0.
-173, 0, 7
Factor 2*f**2 + 1656*f - 33920.
2*(f - 20)*(f + 848)
Find n, given that -3*n**2/5 - 33*n + 15288/5 = 0.
-104, 49
Find x such that x**2 + 10904*x - 251321 = 0.
-10927, 23
Determine r, given that r**2 + 64556*r + 64555 = 0.
-64555, -1
Let 5*n**4 + 7760*n**3 + 3003105*n**2 - 6037290*n = 0. What is n?
-777, 0, 2
Factor -15*s**3 - 205*s**2 - 190*s.
-5*s*(s + 1)*(3*s + 38)
Factor 65*s**3/2 - 8063*s**2/2 + 8367*s/2 - 369/2.
(s - 123)*(s - 1)*(65*s - 3)/2
Factor -2*v**5 - 20464*v**4 - 122730*v**3 - 184068*v**2.
-2*v**2*(v + 3)**2*(v + 10226)
Factor -2*g**2 - 540356*g + 1080720.
-2*(g - 2)*(g + 270180)
Suppose 4*c**5/5 - 628*c**4/5 + 1188*c**3/5 + 8116*c**2/5 - 8584*c/5 - 2976 = 0. Calculate c.
-3, -1, 2, 4, 155
Factor 2*z**3 + 732*z**2 - 95472*z.
2*z*(z - 102)*(z + 468)
Solve c**2/6 + 189622*c/3 + 17978251442/3 = 0 for c.
-189622
Factor -5*m**2 - 310*m + 6715.
-5*(m - 17)*(m + 79)
Suppose 2*s**4/5 - 536954*s**3/5 + 48053445336*s**2/5 - 286699669055072*s + 1433450292366976/5 = 0. What is s?
1, 89492
What is r in -r**2 - 132*r + 49468 = 0?
-298, 166
Factor 2*p**2 + 34626*p + 864400.
2*(p + 25)*(p + 17288)
Solve -2*q**4/9 + 222*q**3 - 664*q**2/3 - 3992*q/9 = 0 for q.
-1, 0, 2, 998
Let 2*c**2 + 938*c + 59100 = 0. Calculate c.
-394, -75
Determine y so that -y**2/10 + 3773*y/5 + 7548/5 = 0.
-2, 7548
Determine u so that -28*u**3 + 1660*u**2 + 28*u - 1660 = 0.
-1, 1, 415/7
Find q such that -2*q**2/9 + 473012*q/9 + 473014/9 = 0.
-1, 236507
Factor -2*g**2 + 25616*g - 1224960.
-2*(g - 12760)*(g - 48)
Solve -j**4/5 + 364*j**3/5 - 42884*j**2/5 + 322624*j = 0 for j.
0, 80, 142
Factor -5*c**3 - 275*c**2 + 2120*c - 3100.
-5*(c - 5)*(c - 2)*(c + 62)
Factor -d**2/5 + 13497*d/5 + 13498/5.
-(d - 13498)*(d + 1)/5
Factor 3*c**5/2 + 30*c**4 + 435*c**3/2 + 675*c**2 + 810*c + 324.
3*(c + 1)**2*(c + 6)**3/2
Factor g**2/3 - 1003*g/3 - 301016.
(g - 1576)*(g + 573)/3
Determine c, given that 3*c**3 - 150*c**2 + 1857*c - 1710 = 0.
1, 19, 30
Factor -2*l**2 + 4020*l - 4018.
-2*(l - 2009)*(l - 1)
Find d such that d**3/2 - 25*d**2 - 25483*d/2 - 12716 = 0.
-136, -1, 187
Factor 2*g**3 + 15944*g**2 + 31824170*g + 190