1845*f**2 + 8086*f - 24336.
(f - 2)*(f + 13)**2*(f + 72)
Factor 2*q**3 + 362*q**2 - 4568*q + 12352.
2*(q - 8)*(q - 4)*(q + 193)
Determine r, given that 2*r**5 + 314*r**4 - 7514*r**3 + 63478*r**2 - 234480*r + 322200 = 0.
-179, 5, 6
Solve t**5/5 - 287*t**4/5 + 27144*t**3/5 - 893592*t**2/5 + 735696*t + 4599504/5 = 0 for t.
-1, 6, 78, 126
Find d, given that d**5/2 - 23*d**4/2 + 149*d**3/2 + 47*d**2/2 - 1395*d + 2268 = 0.
-4, 2, 7, 9
Let 5*w**2 - 3100*w - 9345 = 0. Calculate w.
-3, 623
Find h, given that 2*h**4/5 - 476*h**3/5 + 3558*h**2/5 + 27956*h/5 + 4784 = 0.
-4, -1, 13, 230
Factor -o**2 + 1185*o - 7074.
-(o - 1179)*(o - 6)
Let 4*u**4/9 - 6620*u**3/9 - 243652*u**2/9 + 250268*u/9 = 0. What is u?
-37, 0, 1, 1691
Solve -2*v**3 - 228*v**2 - 2938*v + 3168 = 0 for v.
-99, -16, 1
Factor -3*s**2/4 + 183*s/4 + 11439/2.
-3*(s - 123)*(s + 62)/4
Factor 3*o**2 + 212418*o + 3760117227.
3*(o + 35403)**2
Factor -t**2/4 - 11989*t/4 - 2997.
-(t + 1)*(t + 11988)/4
Suppose 6*g**3/19 + 44944*g**2/19 + 84180110*g/19 + 56100100/19 = 0. What is g?
-3745, -2/3
Suppose -2*f**4/7 + 10050*f**3/7 - 12354878*f**2/7 - 97543302*f - 670438184/7 = 0. What is f?
-52, -1, 2539
Find i, given that -i**3/3 + 118*i**2/3 + 121*i/3 - 238/3 = 0.
-2, 1, 119
Suppose -q**3 - 285*q**2 - 19272*q + 149212 = 0. What is q?
-146, 7
Suppose 2*y**2 + 1926*y - 127100 = 0. Calculate y.
-1025, 62
Find b, given that -b**2/10 - 234*b/5 - 41987/10 = 0.
-347, -121
Suppose -2*h**5/9 - 68*h**4/9 - 506*h**3/9 + 136*h**2 - 72*h = 0. Calculate h.
-18, 0, 1
Solve -2*z**4 + 340*z**2 - 338 = 0.
-13, -1, 1, 13
Factor -f**4/6 - 3802*f**3/3 - 3190000*f**2 - 7802219392*f/3 + 432130935808/3.
-(f - 52)*(f + 2552)**3/6
Find f such that 20*f**4/7 + 1608*f**3/7 + 2060*f**2 - 9888*f/7 - 880 = 0.
-70, -11, -2/5, 1
What is s in 3*s**4/2 - 489*s**3/2 + 5763*s**2/2 + 13005*s/2 + 3375 = 0?
-1, 15, 150
Let 4*g**5 - 84*g**4 - 112*g**3 + 512*g**2 + 384*g - 704 = 0. Calculate g.
-2, 1, 2, 22
What is c in -2*c**4/11 + 560*c**3/11 - 3854*c**2/11 + 8760*c/11 - 6552/11 = 0?
2, 3, 273
Suppose -2*w**3/15 - 562*w**2/15 - 37516*w/15 + 7616/3 = 0. What is w?
-170, -112, 1
Suppose -k**3 - 137*k**2 - 646*k + 1848 = 0. What is k?
-132, -7, 2
Factor z**4 + 95*z**3 + 2127*z**2 - 2223*z.
z*(z - 1)*(z + 39)*(z + 57)
Factor -5*x**2/2 + 13265*x - 26525/2.
-5*(x - 5305)*(x - 1)/2
Let -s**2/6 - 13621*s/6 - 13619/3 = 0. Calculate s.
-13619, -2
Suppose 2*v**2 - 94*v - 2856 = 0. What is v?
-21, 68
Determine n, given that 6*n**4/13 - 4*n**3/13 - 98*n**2/13 + 64*n/13 + 32/13 = 0.
-4, -1/3, 1, 4
Solve 3*q**4/7 + 648*q**3/7 + 798*q**2 - 648*q/7 - 5589/7 = 0.
-207, -9, -1, 1
Factor l**3 + 127*l**2 - 968*l - 4020.
(l - 10)*(l + 3)*(l + 134)
Suppose -z**3/4 + 46105*z**2/4 + 92213*z/4 + 46107/4 = 0. Calculate z.
-1, 46107
Factor -9*u**3/2 - 46937*u**2/2 - 5215*u.
-u*(u + 5215)*(9*u + 2)/2
Factor x**3 - 63*x**2 + 290*x.
x*(x - 58)*(x - 5)
Let 3*m**5 + 12261*m**4 - 49092*m**3 = 0. Calculate m.
-4091, 0, 4
Suppose -3*k**2 + 936*k + 1884 = 0. What is k?
-2, 314
Factor 3*l**3/2 - 87*l**2/2 - 1443*l/2 - 1353/2.
3*(l - 41)*(l + 1)*(l + 11)/2
Let 8*w**5/7 - 3376*w**4/7 - 10182*w**3/7 - 7646*w**2/7 - 1700*w/7 = 0. Calculate w.
-2, -1/2, 0, 425
Let p**3/3 - 100*p**2/3 + 751*p/3 - 460 = 0. Calculate p.
3, 5, 92
Factor -t**4 - 152*t**3 - 4614*t**2 + 88312*t - 337561.
-(t - 7)**2*(t + 83)**2
Let -m**2/3 - 560*m/3 - 1653 = 0. Calculate m.
-551, -9
Factor -46502991027*m**2/4 - 1867545*m/2 - 75/4.
-3*(124503*m + 5)**2/4
Factor -2*f**2/3 - 2756*f/3 + 2762.
-2*(f - 3)*(f + 1381)/3
What is t in t**2/7 - 271*t + 3790/7 = 0?
2, 1895
Factor 3*x**3 + 600*x**2 - 142329*x - 28567374.
3*(x - 218)*(x + 209)**2
Suppose 2*t**2/3 + 70432*t/3 + 620083328/3 = 0. Calculate t.
-17608
Find p, given that -4*p**5 + 1380*p**4 - 173936*p**3 + 9527616*p**2 - 207747072*p + 1434753216 = 0.
13, 26, 102
Factor -2*c**3/3 + 4276*c**2 + 102912*c + 618048.
-2*(c - 6438)*(c + 12)**2/3
Factor -4*h**2 - 1354296*h - 114632353476.
-4*(h + 169287)**2
Factor 3*z**4 + 1539*z**3 + 261612*z**2 + 14466576*z - 45796032.
3*(z - 3)*(z + 172)**3
Factor -2*y**3/5 + 128*y**2/5 - 414*y + 1944/5.
-2*(y - 36)*(y - 27)*(y - 1)/5
Determine x, given that 4*x**4 - 2624*x**3 + 90708*x**2 - 887672*x + 1433440 = 0.
2, 17, 620
Solve -4*d**4 - 312*d**3 + 2608*d**2 + 375288*d - 2638188 = 0 for d.
-57, 7, 29
Solve m**4/3 - 43*m**3/3 + 62*m**2 + 172*m/3 - 760/3 = 0.
-2, 2, 5, 38
Solve w**4/3 - 31*w**3 + 337*w**2 + 2305*w/3 + 400 = 0 for w.
-1, 15, 80
Factor 104*k**3 - 54588*k**2 + 7187184*k - 6315248.
4*(k - 262)**2*(26*k - 23)
Find a, given that -a**4/8 + 24769*a**3/8 + 24773*a**2/2 = 0.
-4, 0, 24773
Factor -5*o**3/2 + 3050*o**2 - 1284985*o/2 - 187514795.
-5*(o - 689)**2*(o + 158)/2
Factor -20*m**2 - 1744*m + 1408.
-4*(m + 88)*(5*m - 4)
Determine z so that -3*z**4 - 786*z**3 - 41169*z**2 + 41958*z = 0.
-189, -74, 0, 1
Let -z**5 + 34*z**4 - 200*z**3 + 302*z**2 - 135*z = 0. Calculate z.
0, 1, 5, 27
Let 5*m**3 + 1265*m**2 + 12270*m + 29160 = 0. What is m?
-243, -6, -4
Factor -3*y**2 - 774*y - 8856.
-3*(y + 12)*(y + 246)
Find q such that -q**2/3 + 664*q/3 + 2704 = 0.
-12, 676
Solve 5*w**2 - 90*w - 8415 = 0 for w.
-33, 51
Determine p so that 4*p**5 + 1416*p**4 - 14432*p**3 + 46464*p**2 - 46592*p = 0.
-364, 0, 2, 4
Factor -u**4/3 + 3943*u**3/3 + 7889*u**2/3 + 1315*u.
-u*(u - 3945)*(u + 1)**2/3
Factor v**2/6 - 707*v/6 + 585.
(v - 702)*(v - 5)/6
Factor 3*c**2 + 3998394*c + 1332262881603.
3*(c + 666399)**2
Find w, given that 4*w**5 - 1564*w**4 - 11180*w**3 + 14300*w**2 + 11176*w - 12736 = 0.
-8, -1, 1, 398
Suppose -12*a**2 + 5600*a + 1868 = 0. Calculate a.
-1/3, 467
Factor 28*n**2 + 451088*n + 128880.
4*(n + 16110)*(7*n + 2)
Factor x**2/7 - 297*x/7 + 828.
(x - 276)*(x - 21)/7
Suppose -3*i**5/7 + 33*i**4/7 + 627*i**3/7 - 7677*i**2/7 + 7020*i/7 = 0. What is i?
-15, 0, 1, 12, 13
Solve -s**5/5 + 31*s**4/5 - 176*s**3/5 - 56*s**2 + 2064*s/5 + 3312/5 = 0.
-2, 6, 23
Factor 5*g**2 - 33325*g.
5*g*(g - 6665)
Suppose -4*v**3 + 12636*v**2 = 0. Calculate v.
0, 3159
Solve 60*y**4 + 13664*y**3 + 23556*y**2 + 11760*y + 1808 = 0 for y.
-226, -1, -2/5, -1/3
Suppose -4*f**5 + 920*f**4 - 52704*f**3 - 44600*f**2 + 2481700*f + 6348000 = 0. Calculate f.
-5, -3, 8, 115
Let -21*m**4 + 28785*m**3 - 20544*m**2 - 8220*m = 0. What is m?
-2/7, 0, 1, 1370
Factor 2*y**3 - 241456*y**2 + 965800*y - 965792.
2*(y - 120724)*(y - 2)**2
Factor z**2/2 + 31*z - 132.
(z - 4)*(z + 66)/2
What is s in 5*s**5 + 320*s**4 - 72595*s**3 - 2409670*s**2 + 304490300*s - 598766440 = 0?
-106, 2, 73
Factor 5*a**3 - 225*a**2 - 4500*a.
5*a*(a - 60)*(a + 15)
Factor -z**4/6 + 95*z**3/3 - 1200*z**2 + 16875*z - 163125/2.
-(z - 145)*(z - 15)**3/6
Factor -2*v**4/13 + 1180*v**3/13 - 127850*v**2/13 - 13629000*v/13 - 266805000/13.
-2*(v - 330)**2*(v + 35)**2/13
Factor -780*h**2/7 + 166*h + 1704/7.
-2*(5*h - 12)*(78*h + 71)/7
Factor -b**3/4 - b**2 + 1027*b/4 - 1015/2.
-(b - 29)*(b - 2)*(b + 35)/4
Determine x, given that 3*x**4/7 + 417*x**3/7 - 4374*x**2/7 - 225372*x + 452760 = 0.
-98, 2, 55
Factor -4*q**2 + 11288*q + 307692.
-4*(q - 2849)*(q + 27)
Factor f**2/4 - 18703*f + 349802209.
(f - 37406)**2/4
Determine n, given that 3*n**3 + 107586*n**2 - 215181*n + 107592 = 0.
-35864, 1
Factor -3*c**2 + 51685*c/3 + 11486/3.
-(c - 5743)*(9*c + 2)/3
Let 5*d**2 - 63625*d - 254580 = 0. What is d?
-4, 12729
Let u**3/3 + 73877*u**2/3 - 24626*u = 0. Calculate u.
-73878, 0, 1
Determine u so that -3*u**3 - 327*u**2 - 5673*u + 6003 = 0.
-87, -23, 1
What is d in 4*d**5/3 - 5876*d**4 - 17632*d**3/3 = 0?
-1, 0, 4408
Suppose -y**4/7 - 258*y**3/7 + 783*y**2/7 - 4*y/7 - 1044/7 = 0. What is y?
-261, -1, 2
Suppose -l**3 + 40867*l**2 + 163481*l + 122613 = 0. Calculate l.
-3, -1, 40871
Suppose -7*y**5 + 180*y**4 + 3867*y**3 + 20504*y**2 + 33456*y = 0. Calculate y.
-51/7, -4, 0, 41
Factor 3*x**2 - 315*x - 5400.
3*(x - 120)*(x + 15)
Solve 8*d**5/5 - 19*d**4/5 - 986*d**3/5 - 1532*d**2/5 - 222*d/5 + 351/5 = 0.
-9, -1, 3/8, 13
Determine f, given that f**3/2 + 708*f**2 + 29315*f/2 + 13950 = 0.
-1395, -20, -1
Find m, given that -4*m**4 + 480*m**3 - 4028*m**2 + 3552*m = 0.
0, 1, 8, 111
Find y, given that -4*y**5 - 47*y**4 + 484*y**3 - 1222*y**2 + 960*y - 171 = 0.
-19, 1/4, 1, 3
Suppose 5*i**4 + 4310*i**3 - 43515*i**2 + 74080*i - 34880 = 0. Calcu