o so that 75*o**3 - 374970*o**2 - 149997*o - 15000 = 0.
-1/5, 5000
Suppose -2*u**5 - 1996*u**4/5 - 85184*u**3/5 - 132404*u**2/5 - 49206*u/5 = 0. What is u?
-139, -59, -1, -3/5, 0
Solve 4*l**4 + 320*l**3 + 3072*l**2 - 147456*l = 0 for l.
-48, 0, 16
Determine n, given that 8*n**2 - 247772*n - 123888 = 0.
-1/2, 30972
Factor 3*o**3 - 933*o**2 + 31122*o.
3*o*(o - 273)*(o - 38)
What is j in j**5 + 3*j**4 - 24*j**3 - 28*j**2 + 48*j = 0?
-6, -2, 0, 1, 4
Let -2*v**3/13 + 216*v**2/13 + 12366*v/13 + 2700 = 0. What is v?
-39, -3, 150
Suppose 2*n**5/13 + 248*n**4/13 - 2082*n**3/13 + 3968*n**2/13 + 1016*n/13 - 5280/13 = 0. Calculate n.
-132, -1, 2, 5
Solve 3*p**3 - 24*p**2 - 165*p + 1050 = 0 for p.
-7, 5, 10
Let -2*q**4/17 + 716*q**3/17 - 85194*q**2/17 + 3394048*q/17 - 3309568/17 = 0. What is q?
1, 101, 128
Determine t so that -8*t**3 - 210*t**2 + 878*t - 660 = 0.
-30, 1, 11/4
Determine t, given that 2*t**3/7 + 246*t**2/7 - 5762*t/7 - 858 = 0.
-143, -1, 21
Find b such that -b**3/7 - 403*b**2/7 - 9204*b/7 - 40932/7 = 0.
-379, -18, -6
Suppose 3*r**5 - 1770*r**4 + 19212*r**3 - 60870*r**2 + 43425*r = 0. What is r?
0, 1, 5, 579
Factor -h**2/4 + 2427*h.
-h*(h - 9708)/4
Factor -11*b**2 + 28481*b/3 - 1726/3.
-(b - 863)*(33*b - 2)/3
Factor 6*v**3/5 + 47058*v**2/5 + 561456*v + 8405640.
6*(v + 30)**2*(v + 7783)/5
Find y such that 5*y**5 + 450*y**4 - 455*y**3 = 0.
-91, 0, 1
Factor h**2 + 258*h + 1016.
(h + 4)*(h + 254)
Solve 2*x**3 + 32552*x**2 + 132454088*x = 0.
-8138, 0
Factor -2*f**3/5 - 3762*f**2/5 - 6000*f - 59936/5.
-2*(f + 4)**2*(f + 1873)/5
Determine o, given that o**3 + 8811*o**2 + 19552995*o + 635689593 = 0.
-4389, -33
Factor 2*y**5 - 3984*y**4 + 1980042*y**3 + 3976036*y**2.
2*y**2*(y - 997)**2*(y + 2)
Factor p**2 - 1034*p + 6168.
(p - 1028)*(p - 6)
Determine u, given that 3*u**3/4 - 525*u**2/2 + 8229*u/4 - 3591/2 = 0.
1, 7, 342
What is s in 2*s**2/5 + 168*s + 19008/5 = 0?
-396, -24
Suppose -3*m**3/4 + 14967*m**2/2 - 18675072*m + 37320216 = 0. Calculate m.
2, 4988
Factor 5*d**2 - 11645*d + 34890.
5*(d - 2326)*(d - 3)
Factor k**5/3 - 10*k**4 - 3550*k**3/3 + 56500*k**2/3 - 95625*k + 481250/3.
(k - 70)*(k - 5)**3*(k + 55)/3
Find m, given that 16*m**4/7 + 395032*m**3/7 + 592521*m**2/7 + 222193*m/7 + 24688/7 = 0.
-24688, -1, -1/4
Find q such that -147*q**5 + 3192*q**4 - 7941*q**3 + 6948*q**2 - 2052*q = 0.
0, 6/7, 1, 19
Factor -4821286875*n**4 + 1801824000*n**3 + 49566600*n**2 + 440640*n + 1296.
-3*(5*n - 2)*(685*n + 6)**3
Factor d**2 + 14706*d + 88200.
(d + 6)*(d + 14700)
Factor -4*i**3/9 - 2936*i**2/3 - 474096*i + 658919072/9.
-4*(i - 122)*(i + 1162)**2/9
Solve n**2/4 + 659*n/4 = 0 for n.
-659, 0
Factor -q**3/2 + 221869*q**2 - 24612704710*q - 49226296900.
-(q - 221870)**2*(q + 2)/2
Factor -5*x**2 + 6840*x - 128155.
-5*(x - 1349)*(x - 19)
Factor -4*n**2/5 + 6069*n/5 + 4554/5.
-(n - 1518)*(4*n + 3)/5
Solve 18*m**5/13 - 7188*m**4/13 + 310538*m**3/13 - 3756232*m**2/13 + 4602760*m/13 - 1489664/13 = 0.
2/3, 23, 352
Suppose 4*s**2/5 + 952*s - 57696/5 = 0. Calculate s.
-1202, 12
Determine u so that 2*u**5 + 86232*u**4 + 929753340*u**3 + 5574123016*u**2 - 13937850990*u + 7433888400 = 0.
-21555, -8, 1
Factor 2*f**2 - 4622*f + 226100.
2*(f - 2261)*(f - 50)
Solve l**4/7 + 141*l**3/7 + 6039*l**2/7 + 70699*l/7 = 0.
-61, -19, 0
Determine o so that -o**5 + 43*o**4 - 686*o**3 + 5114*o**2 - 17745*o + 22491 = 0.
3, 7, 9, 17
Factor 3*a**2 - 6576*a + 19701.
3*(a - 2189)*(a - 3)
Find t, given that 4*t**3 - 44784*t**2 + 125439936*t - 501043456 = 0.
4, 5596
Find l, given that -2*l**2/7 + 296*l/7 - 1472 = 0.
56, 92
Factor -684*o**3/5 - 3554*o**2 - 115232*o/5 + 2366/5.
-2*(o + 13)**2*(342*o - 7)/5
Factor -6569*h**2/2 + 6611*h/2 - 21.
-(h - 1)*(6569*h - 42)/2
Suppose s**4/2 + 1013*s**3/6 + 2683*s**2/6 + 1003*s/6 - 335/3 = 0. Calculate s.
-335, -2, -1, 1/3
Suppose g**2 + 19116*g + 19115 = 0. Calculate g.
-19115, -1
Determine l, given that -5*l**2 + 73270*l + 146560 = 0.
-2, 14656
Factor -15663*w**5 - 62658*w**4 - 94002*w**3 - 62688*w**2 - 15687*w - 6.
-3*(w + 1)**4*(5221*w + 2)
Let 2*p**4/3 + 3640*p**3/9 + 6050*p**2/9 = 0. What is p?
-605, -5/3, 0
What is w in 4*w**5/5 + 1272*w**4/5 + 12928*w**3 - 13078232*w**2/5 - 1184068164*w/5 - 1117217504 = 0?
-139, -5, 104
Solve 4*v**5 - 128*v**4 + 1056*v**3 - 2920*v**2 + 3164*v - 1176 = 0.
1, 2, 7, 21
What is v in -2*v**2/3 + 842*v/3 + 2580 = 0?
-9, 430
Suppose -g**5/2 + 245*g**4/2 - 834*g**3 + 224*g**2 + 3344*g - 2856 = 0. What is g?
-2, 1, 2, 6, 238
Factor -v**3/3 - 6128*v**2/3 + 178525*v/3 - 172396/3.
-(v - 28)*(v - 1)*(v + 6157)/3
Find f such that f**4 - 3266*f**3 + 3572221*f**2 - 1478733756*f + 204997050756 = 0.
354, 1279
Factor -s**3/6 + 94*s**2/3 + 73*s/2 - 945.
-(s - 189)*(s - 5)*(s + 6)/6
Determine i so that 2*i**4 - 1430*i**3 + 176164*i**2 + 358064*i = 0.
-2, 0, 161, 556
Factor 121*n**3/4 - 783*n**2/2 + 2769*n/4 - 331.
(n - 1)**2*(121*n - 1324)/4
Determine t, given that -4*t**2 + 2740*t - 95904 = 0.
37, 648
Factor 3*g**4 + 198*g**3 + 2292*g**2 - 5400*g.
3*g*(g - 2)*(g + 18)*(g + 50)
Factor -2*s**3/5 + 21474*s**2/5 - 57630846*s/5 - 57652322/5.
-2*(s - 5369)**2*(s + 1)/5
Determine f, given that 2*f**5/5 + 58*f**4/5 - 208*f**3/5 - 488*f**2/5 + 160*f + 1024/5 = 0.
-32, -2, -1, 2, 4
Solve 4*n**3 - 22656*n**2 - 340876*n + 772344 = 0 for n.
-17, 2, 5679
Determine q so that -q**2/2 - 229*q/2 + 6486 = 0.
-276, 47
Factor -20*r**3 - 1830085*r**2 - 457520*r.
-5*r*(r + 91504)*(4*r + 1)
Factor 2*t**3 - 9432*t**2 + 18786*t + 329980.
2*(t - 4714)*(t - 7)*(t + 5)
Solve 3*y**5 - 111*y**4 + 486*y**3 - 132*y**2 - 1992*y + 2304 = 0 for y.
-2, 2, 3, 32
Factor -19*z**3/6 - 77*z**2/3 + 182*z/3 + 20/3.
-(z - 2)*(z + 10)*(19*z + 2)/6
Suppose -2*w**3 - 2764*w**2 - 960466*w - 3797768 = 0. Calculate w.
-689, -4
Factor -3*i**2 + 47502*i - 522159.
-3*(i - 15823)*(i - 11)
Solve -2*f**4/11 + 204*f**3/11 - 122*f**2 + 1140*f/11 = 0 for f.
0, 1, 6, 95
Factor 5*q**2 - 569495*q + 1138970.
5*(q - 113897)*(q - 2)
Factor m**5 - 841*m**4 - 11066*m**3 - 30744*m**2.
m**2*(m - 854)*(m + 4)*(m + 9)
Determine n so that -2*n**2/11 - 117124*n/11 - 1714753922/11 = 0.
-29281
Factor 2*f**2/5 + 26*f/5 - 308.
2*(f - 22)*(f + 35)/5
Factor -g**3/7 - 95*g**2/7 - 1532*g/7 - 6688/7.
-(g + 8)*(g + 11)*(g + 76)/7
Let -o**5/4 - 20*o**4 - 301*o**3 + 2051*o**2/2 - 4267*o/4 + 725/2 = 0. Calculate o.
-58, -25, 1
Find b, given that -b**4 - 221*b**3 - 14147*b**2 - 280543*b = 0.
-127, -47, 0
Factor -v**3/6 - 27*v**2 + 163*v/6.
-v*(v - 1)*(v + 163)/6
Factor 3*y**2 - 3468*y + 6924.
3*(y - 1154)*(y - 2)
Factor -3*h**2 - 6000*h + 1050732.
-3*(h - 162)*(h + 2162)
Factor -2*u**3/7 - 17802*u**2/7 - 39533670*u/7 + 357246450/7.
-2*(u - 9)*(u + 4455)**2/7
Factor -3*f**2/2 + 876*f - 127896.
-3*(f - 292)**2/2
Suppose -10*t**3 + 425*t**2 + 7495*t + 3640 = 0. Calculate t.
-13, -1/2, 56
Determine g so that -6*g**4 + 6746*g**3 - 15718*g**2 + 11222*g - 2244 = 0.
1/3, 1, 1122
Factor b**2/3 - 707*b/3 - 1666.
(b - 714)*(b + 7)/3
Find n such that 4*n**4 + 10732*n**3 - 10740*n**2 - 10732*n + 10736 = 0.
-2684, -1, 1
Solve 5*b**4 - 1220*b**3 + 97775*b**2 - 2533500*b - 2632500 = 0.
-1, 65, 90
Determine v, given that 2*v**2/13 + 9392*v/13 + 93720/13 = 0.
-4686, -10
Solve -8605*y**2 - 43021*y/5 + 4/5 = 0 for y.
-1, 4/43025
Let -3*n**2/2 - 79344*n - 1049245056 = 0. What is n?
-26448
Factor 5*z**2 - 14295*z + 42840.
5*(z - 2856)*(z - 3)
Determine r so that -9*r**2 - 111*r - 270 = 0.
-9, -10/3
Factor -4*q**3 - 468*q**2 - 9504*q - 53568.
-4*(q + 12)**2*(q + 93)
Let k**4/11 + 48110*k**3/11 - 48112*k**2/11 - 48110*k/11 + 48111/11 = 0. Calculate k.
-48111, -1, 1
Suppose 450*f**5/11 - 480*f**4/11 - 11632*f**3/11 + 38912*f**2/11 - 34656*f/11 = 0. Calculate f.
-6, 0, 2, 38/15
Find v such that -213*v**2/2 - 586*v/3 + 106/3 = 0.
-2, 106/639
Find q, given that q**2/11 + 11556*q + 367238124 = 0.
-63558
Determine l, given that -10*l**4/3 - 532*l**3 + 640*l**2/3 = 0.
-160, 0, 2/5
Factor 3*z**3 + 100992*z**2 + 201963*z - 302958.
3*(z - 1)*(z + 3)*(z + 33662)
Suppose -5*r**2 + 4505*r - 113750 = 0. What is r?
26, 875
Find f, given that -f**4/5 - 783*f**3/5 + 50652*f**2/5 - 141056*f - 2592768/5 = 0.
-844, -3, 32
Let -m**2/4 - 5*m + 171 = 0. What is m?
-38, 18
Find y, given that y**3/4 + 787*y**2 + 3147*y/4 = 0.
-3147, -1, 0
Find k such that -k**3/2 -