21
Factor -5*k**2 + 19465*k + 293100.
-5*(k - 3908)*(k + 15)
Factor 4*t**3/5 - 76*t**2 + 8984*t/5 - 9920.
4*(t - 62)*(t - 25)*(t - 8)/5
Factor 4*i**3/3 - 2104*i**2 + 161920*i - 9587200/3.
4*(i - 1498)*(i - 40)**2/3
Determine n, given that -2*n**5/5 - 328064*n**4/5 - 10496572*n**3/5 - 18761792*n**2 - 31488090*n - 14760000 = 0.
-164000, -15, -1
Factor -3*n**2 - 18187977*n + 72751956.
-3*(n - 4)*(n + 6062663)
Factor 5*r**2 - 21620735*r - 86483020.
5*(r - 4324151)*(r + 4)
Factor -2*a**2 + 22876668*a - 65417742347778.
-2*(a - 5719167)**2
Determine u so that 7*u**4/2 - 19953*u**3/2 - 944241*u**2/2 - 524495*u/2 + 199893 = 0.
-46, -1, 3/7, 2897
Determine o so that -o**5/9 + 175914*o**4 - 6332891*o**3/9 + 4749662*o**2/9 + 2110964*o/3 - 6332888/9 = 0.
-1, 1, 2, 1583222
Factor -2*x**2/13 - 149064*x/13 - 2682504/13.
-2*(x + 18)*(x + 74514)/13
Factor 3*y**2/5 + 235996608*y/5 + 4641199915625472/5.
3*(y + 39332768)**2/5
Factor 3*c**2/4 + 107619*c - 1937385.
3*(c - 18)*(c + 143510)/4
Factor j**3/4 + 77606115*j**2/4 + 376419308136312*j - 376419327537841.
(j - 1)*(j + 38803058)**2/4
Factor 3*p**2/2 + 44688966*p + 332850613691526.
3*(p + 14896322)**2/2
Let -4*r**3 + 171636*r**2 + 4*r - 171636 = 0. Calculate r.
-1, 1, 42909
Determine m so that m**5/4 - 2881*m**4/4 - 396837*m**3/2 + 604606*m**2 + 802304*m = 0.
-256, -1, 0, 4, 3134
What is l in -l**5/2 - 2277*l**4/4 - 336969*l**3/2 - 3481243*l**2 + 89049261*l + 181495665/4 = 0?
-557, -39, -1/2, 15
What is w in w**4 - 166*w**3 + 5629*w**2 + 273780*w - 13841100 = 0?
-42, 65, 78
Solve -8732*h**2 - 925610*h - 1908 = 0 for h.
-106, -9/4366
Solve z**5/4 - 7281*z**4/4 - 93327*z**3 - 1143961*z**2 + 1239108*z = 0.
-26, 0, 1, 7332
Find w such that -22*w**4 + 2342*w**3 - 21846*w**2 - 118710*w - 94500 = 0.
-3, -1, 15, 1050/11
Suppose -208*d**5/7 - 234084*d**4/7 + 140116*d**3/7 + 554168*d**2/7 + 198192*d/7 + 18016/7 = 0. Calculate d.
-1126, -1, -1/4, -2/13, 2
Find i such that 3*i**3 + 845322*i**2 + 92949447*i + 92104128 = 0.
-281664, -109, -1
Factor -2*u**2/9 + 1265990*u + 11393912/9.
-2*(u - 5696956)*(u + 1)/9
What is d in -4*d**2 + 10223672*d = 0?
0, 2555918
Factor i**2 + 906793*i + 1813582.
(i + 2)*(i + 906791)
Let -3*r**3 + 1023585*r**2 - 87313079925*r + 436539810375 = 0. Calculate r.
5, 170595
Factor 2*b**2/15 - 661118*b/5.
2*b*(b - 991677)/15
Find l, given that 124*l**2 + 373865*l = 0.
-373865/124, 0
Let -i**4/10 + 87*i**3/2 - 13563*i**2/10 - 5687*i/2 - 7218/5 = 0. Calculate i.
-1, 36, 401
Factor 38*z**2/11 - 2161638*z/11 - 1706580/11.
2*(z - 56886)*(19*z + 15)/11
Solve 2*m**3/9 - 284*m**2/9 - 447430*m/9 + 448264/3 = 0 for m.
-409, 3, 548
Let d**5 + 7797*d**4 + 147908*d**3 + 980352*d**2 + 2520288*d + 1680048 = 0. Calculate d.
-7778, -6, -1
Factor 17500*b**3 - 1598729400*b**2 - 383695164*b/7 - 3288816/7.
4*(b - 91356)*(175*b + 3)**2/7
Determine s, given that -5*s**4/2 - 15935*s**3/2 - 12632295*s**2/2 - 62827265*s/2 - 25105450 = 0.
-1735, -1447, -4, -1
Let l**3 - 18631461*l**2 + 37262919*l - 18631459 = 0. Calculate l.
1, 18631459
Let 2*p**3 - 43570656*p**2/5 + 5228478*p = 0. Calculate p.
0, 3/5, 4357065
Factor -2*d**4/9 - 1642*d**3/3 - 53702*d**2/3 - 1766842*d/9 - 718740.
-2*(d + 11)**3*(d + 2430)/9
Solve -316*w**3/13 + 630*w**2/13 + 583972*w/13 + 3696/13 = 0 for w.
-42, -1/158, 44
Factor n**2/3 - 5524660*n/3 + 7630467028900/3.
(n - 2762330)**2/3
Determine v, given that -4*v**3 - 1112*v**2 - 40900*v - 112800 = 0.
-235, -40, -3
Suppose -5*f**5 - 217*f**4 + 2172*f**3 + 27632*f**2 + 77920*f + 66000 = 0. What is f?
-50, -22/5, -2, 15
Solve -c**2/4 - 62086*c + 496704 = 0.
-248352, 8
Find h such that -2*h**3 + 13320*h**2 + 213504*h + 854528 = 0.
-8, 6676
Determine m so that -m**4/2 - 167*m**3 + 1318*m**2 + 42927*m + 322245/2 = 0.
-341, -9, -5, 21
What is x in x**3 - 2447470*x**2 - 4894943*x - 2447472 = 0?
-1, 2447472
Solve -75*v**3 + 437250*v**2 + 12*v - 69960 = 0 for v.
-2/5, 2/5, 5830
Factor 942*h**2 + 6248*h + 3576.
2*(h + 6)*(471*h + 298)
Solve g**2/4 - 22481*g/4 + 1685915/2 = 0 for g.
151, 22330
Factor 3*h**4 + 816*h**3 - 7450065*h**2 - 5266270350*h.
3*h*(h - 1738)*(h + 1005)**2
Factor -3*m**3 - 954*m**2 + 192*m + 61056.
-3*(m - 8)*(m + 8)*(m + 318)
Let -3*w**3 + 642528*w**2 + 2570148*w + 2570160 = 0. What is w?
-2, 214180
Suppose 20*f**4/9 + 105614*f**3/9 + 47830498*f**2/3 + 1182884514*f - 356300586 = 0. What is f?
-2601, -79, 3/10
Solve -l**3/6 - 352*l**2 + 119825*l/2 + 925025/3 = 0 for l.
-2270, -5, 163
Solve 2*t**2 - 67146*t + 604152 = 0 for t.
9, 33564
Factor 32*a**3 + 2070*a**2 - 17334*a - 34992.
2*(a - 9)*(a + 72)*(16*a + 27)
Factor 3*b**4 - 2210667*b**3 + 4421325*b**2 - 2210661*b.
3*b*(b - 736887)*(b - 1)**2
What is q in -q**3 + 350084*q**2 + 350085*q = 0?
-1, 0, 350085
Let 2*t**2 + 3008*t + 1126206 = 0. What is t?
-801, -703
Determine u, given that -9*u**3 + 3088*u**2 + 8980*u + 5536 = 0.
-2, -8/9, 346
Let -2*h**2/7 + 44754*h/7 - 25072300/7 = 0. What is h?
575, 21802
Suppose 2*n**3/17 + 291930*n**2/17 - 583866*n/17 + 291934/17 = 0. What is n?
-145967, 1
Factor -2*x**2/3 - 2185490*x - 6556468/3.
-2*(x + 1)*(x + 3278234)/3
Suppose 7*n**5/4 + 479*n**4/4 - 7027*n**3/4 - 142931*n**2/4 - 48015*n - 14157 = 0. What is n?
-78, -11, -1, -3/7, 22
Factor a**3/6 - 2207*a**2/3 + 3343153*a/6.
a*(a - 3443)*(a - 971)/6
What is c in -2*c**3/15 + 864*c**2/5 + 10758*c + 122040 = 0?
-45, -15, 1356
Factor -24453025*v**2/9 + 4084570*v/9 - 170569/9.
-(4945*v - 413)**2/9
What is p in p**2/3 - 2999*p - 2741140/3 = 0?
-295, 9292
Suppose 3*j**4 + 7320*j**3 + 145344*j**2 + 346752*j - 4181760 = 0. What is j?
-2420, -12, 4
Let 2*b**4/3 + 662816*b**3/3 + 2651234*b**2/3 + 220932*b - 1325616 = 0. What is b?
-331404, -3, -2, 1
Factor 2*o**2/7 - 1736*o - 4647514/7.
2*(o - 6437)*(o + 361)/7
Factor -2*h**2/7 + 36791432*h - 1184408285034296.
-2*(h - 64385006)**2/7
Factor 3*m**3 + 121623*m**2 + 116309340*m.
3*m*(m + 980)*(m + 39561)
Suppose -4*y**2 - 2416*y + 324084 = 0. What is y?
-717, 113
Find a, given that -1455*a**5 - 91659*a**4 - 315357*a**3 + 1611987*a**2 - 1208472*a + 4956 = 0.
-59, -7, 2/485, 1, 2
Determine r, given that 324*r**5 + 82867392*r**4 - 202567340*r**3 - 170851288*r**2 + 102306352*r - 12276768 = 0.
-255766, -1, 2/9, 3
What is h in -16*h**5 - 2080*h**4 + 29325*h**3 - 60305*h**2 - 54869*h + 87945 = 0?
-143, -5/4, 1, 3, 41/4
Factor 2226460*z**3 + 11132308*z**2 + 40*z.
4*z*(z + 5)*(556615*z + 2)
Find b such that 2*b**4/5 - 12188*b**3/5 - 3869982*b**2/5 - 59927040*b = 0.
-153, 0, 6400
Factor 4*w**4 - 972*w**3 + 16040*w**2 + 36000*w.
4*w*(w - 225)*(w - 20)*(w + 2)
Factor v**2/5 - 38880822*v/5 + 38880817.
(v - 38880817)*(v - 5)/5
Factor n**2/4 + 84101*n/4 + 21025.
(n + 1)*(n + 84100)/4
Solve -2*b**4/5 + 1507697*b**3 - 2261544*b**2 - 2261545*b + 7538482/5 = 0 for b.
-1, 1/2, 2, 3769241
Factor 2*q**2/9 - 2195986*q/9 + 5855920/3.
2*(q - 1097985)*(q - 8)/9
Suppose -3*k**4/4 - 236235*k**3/4 - 4631507913*k**2/4 + 751659779043*k/4 - 733129967439 = 0. What is k?
-39453, 4, 157
Solve -2362*o**5 - 278712*o**4 - 538064*o**3 + 1115776*o**2 + 2190048*o - 3712 = 0.
-116, -2, 2/1181, 2
What is o in -2*o**2 - 1083377020*o - 146713220933010050 = 0?
-270844255
Determine v, given that 7*v**4 - 11765*v**3 + 4209847*v**2 + 637649493*v + 181841634 = 0.
-113, -2/7, 897
Solve 2*b**2/5 - 47706*b/5 + 6922444/5 = 0.
146, 23707
Find h, given that -255*h**3 + 82959*h**2 - 27300*h = 0.
0, 28/85, 325
Suppose -2*a**4/5 - 3542*a**3/5 - 14146*a**2/5 - 17674*a/5 - 7068/5 = 0. Calculate a.
-1767, -2, -1
Factor a**2/3 + 5614*a/3 + 1099883.
(a + 667)*(a + 4947)/3
Let 166*q**4/15 + 21802*q**3/3 + 108844*q**2/15 = 0. What is q?
-54422/83, -1, 0
Determine n, given that 2*n**5 + 1996*n**4 + 82632*n**3 + 479324*n**2 - 82634*n - 481320 = 0.
-955, -36, -7, -1, 1
Factor 2*c**3 - 62430596*c**2 + 487197227322560*c + 2923185611437248.
2*(c - 15607652)**2*(c + 6)
Find s, given that -s**2/3 + 362438*s/3 - 3503287 = 0.
29, 362409
Determine s, given that 2*s**5 + 268*s**4 + 7050*s**3 - 137800*s**2 - 349832*s + 1190112 = 0.
-77, -69, -4, 2, 14
Solve -3*a**3/2 - 4604622*a**2 - 9209241*a/2 = 0.
-3069747, -1, 0
Solve -b**2 + 72086225*b - 72086224 = 0 for b.
1, 72086224
Factor -10*o**3 + 4696002*o**2 - 551292554736*o - 4300367636448.
-2*(o - 234804)**2*(5*o + 39)
Let -2*d**3 - 22516*d**2 + 57535