92*h**2 - 6753*h + 936 = 0.
-13, 8/29, 1/3, 3
Determine q so that 2*q**3/11 + 562*q**2/11 + 14672*q/11 + 14112/11 = 0.
-252, -28, -1
Determine f so that 10*f**2 + 1601085*f + 800540 = 0.
-160108, -1/2
Determine f, given that 2*f**4/5 - 11326*f**3/5 + 16029116*f**2/5 + 16063104*f/5 - 32080896/5 = 0.
-2, 1, 2832
Factor 4*k**4 - 2140*k**3 - 6456*k**2.
4*k**2*(k - 538)*(k + 3)
Factor d**4/10 + 53*d**3/10 + 31*d**2/5 - 440*d.
d*(d - 8)*(d + 11)*(d + 50)/10
Let -8*r**2 - 15428*r/3 + 2572/3 = 0. Calculate r.
-643, 1/6
Factor x**2/6 + 22*x/3 - 159/2.
(x - 9)*(x + 53)/6
Solve -4*m**5 - 11940*m**4 - 1406604*m**3 + 4291492*m**2 - 4315392*m + 1442448 = 0.
-2862, -126, 1
Suppose 2*g**5/7 - 10*g**4 + 544*g**3/7 - 344*g**2/7 - 960*g/7 = 0. Calculate g.
-1, 0, 2, 10, 24
Determine m, given that -2*m**2/15 + 1658*m/15 + 1108/5 = 0.
-2, 831
Suppose -z**4/9 + 25*z**3/3 + 244*z**2/3 + 1996*z/9 + 560/3 = 0. What is z?
-5, -2, 84
Factor -5*f**2 + 10715*f - 735560.
-5*(f - 2072)*(f - 71)
Factor -44*p**2/9 + 298*p/3 + 432.
-2*(p - 24)*(22*p + 81)/9
Solve 21*f**3 - 302*f**2 - 773*f - 450 = 0.
-9/7, -1, 50/3
Factor 2*z**2/3 - 4276*z/3 + 4274/3.
2*(z - 2137)*(z - 1)/3
Let -4*f**3 - 172264*f**2 - 1854680356*f = 0. What is f?
-21533, 0
Determine h so that 6*h**3/7 + 18162*h**2/7 + 253170*h/7 + 235014/7 = 0.
-3013, -13, -1
Solve 5*n**4 + 270*n**3 + 260*n**2 - 270*n - 265 = 0 for n.
-53, -1, 1
Factor 12*n**2 + 10028*n/3 - 1488.
4*(n + 279)*(9*n - 4)/3
What is y in -6*y**3 - 1696*y**2 - 7814*y - 8340 = 0?
-278, -3, -5/3
Suppose 5*i**2 + 2850*i + 14125 = 0. Calculate i.
-565, -5
Factor 16*u**2 - 4732*u - 124160.
4*(u - 320)*(4*u + 97)
Factor -2*z**2/7 - 6330*z/7 - 12652/7.
-2*(z + 2)*(z + 3163)/7
Determine p, given that -7*p**2 + 6574*p - 939 = 0.
1/7, 939
Determine b, given that b**2 - 36*b + 308 = 0.
14, 22
Solve 4*y**3 + 27280*y**2 + 54548*y + 27272 = 0.
-6818, -1
Determine o, given that 9*o**3/2 + 4600*o**2 - 36917*o/2 + 13854 = 0.
-9236/9, 1, 3
Suppose -3*h**2 + 2367*h - 7074 = 0. Calculate h.
3, 786
Suppose 5*m**5 + 10370*m**4 + 7141215*m**3 + 1613386910*m**2 - 13435236220*m - 15041492280 = 0. Calculate m.
-694, -1, 9
Factor h**3/3 - 77*h**2/3 + 320*h + 1200.
(h - 60)*(h - 20)*(h + 3)/3
Suppose -15*c**4/4 - 218*c**3 - 7021*c**2/4 - 3773*c = 0. What is c?
-49, -77/15, -4, 0
Let 2*x**2/11 + 4156*x/11 + 8224 = 0. Calculate x.
-2056, -22
Let a**2/4 + 7555*a/4 + 15094 = 0. What is a?
-7547, -8
Factor -2*n**3 - 920*n**2 - 3656*n - 3648.
-2*(n + 2)**2*(n + 456)
Factor s**2/4 - 18825*s + 354380625.
(s - 37650)**2/4
Solve 3*o**4 + 5913*o**3 + 29472*o**2 - 35388*o = 0.
-1966, -6, 0, 1
Factor -35*m**3/3 + 395*m**2/3 - 1010*m/3 + 240.
-5*(m - 8)*(m - 2)*(7*m - 9)/3
Find p such that -2*p**3/5 - 776*p**2 - 1885674*p/5 - 3755844/5 = 0.
-969, -2
Suppose -q**4/4 + 47*q**3 - 91*q**2/2 - 233*q - 561/4 = 0. What is q?
-1, 3, 187
Determine d so that d**4/4 - 5559*d**3/4 + 27757*d**2/2 - 33294*d = 0.
0, 4, 6, 5549
Factor -17*w**3 - 564*w**2 - 99*w.
-w*(w + 33)*(17*w + 3)
Factor 4*l**2 + 420*l + 1616.
4*(l + 4)*(l + 101)
Factor 56*v**2 - 10804*v - 11640.
4*(v - 194)*(14*v + 15)
Factor 2*v**2 - 678760*v + 57589392200.
2*(v - 169690)**2
Factor -u**2 - 11867*u + 59360.
-(u - 5)*(u + 11872)
Let -5*z**2 + 730*z - 16065 = 0. Calculate z.
27, 119
Solve -2*u**5 - 37496*u**4/7 - 10670*u**3/7 + 112516*u**2/7 + 15304*u + 21424/7 = 0 for u.
-2678, -1, -2/7, 2
Find h, given that -4*h**2 + 781760*h - 38196793600 = 0.
97720
Solve -12*u**5/7 - 705004*u**4/7 - 10355627476*u**3/7 - 3451495356*u**2 - 17256872512*u/7 - 3451327504/7 = 0 for u.
-29374, -1, -1/3
Factor 3*i**3 - 315*i**2 - 2667*i - 5085.
3*(i - 113)*(i + 3)*(i + 5)
Factor -5*g**2 + 231220*g + 1618785.
-5*(g - 46251)*(g + 7)
Solve 2*q**4/19 - 2954*q**3/19 + 132796*q**2/19 - 1639000*q/19 + 2770416/19 = 0 for q.
2, 22, 1431
Suppose 5*b**3 - 6125*b**2 + 1880875*b - 171251875 = 0. What is b?
205, 815
Factor 5*b**3/8 + 77*b**2/2 + 389*b/2 - 84.
(b + 6)*(b + 56)*(5*b - 2)/8
Let -w**2/2 + 88613*w/2 + 132924 = 0. What is w?
-3, 88616
Solve 3*n**5 - 783*n**4 - 216174*n**3 + 84488838*n**2 - 6752088981*n - 6836793207 = 0.
-317, -1, 193
Factor 3*b**2 - 128136*b + 128133.
3*(b - 42711)*(b - 1)
Factor 3*h**2/5 + 5157*h/5 + 61452/5.
3*(h + 12)*(h + 1707)/5
Find t, given that 4*t**2/5 - 1204*t/5 + 10976 = 0.
56, 245
Factor 2*f**5/7 + 18*f**4/7 + 30*f**3/7 + 2*f**2.
2*f**2*(f + 1)**2*(f + 7)/7
Let -3*z**4 - 240*z**3 - 1578*z**2 - 3312*z - 1971 = 0. What is z?
-73, -3, -1
Find i, given that -6*i**5/13 + 70*i**4/13 + 486*i**3/13 + 946*i**2/13 + 672*i/13 + 136/13 = 0.
-2, -1, -1/3, 17
Factor -2*g**4/9 - 199400*g**3/9 - 736288192*g**2 - 8155618814304*g + 16314182958624.
-2*(g - 2)*(g + 33234)**3/9
Find r, given that -2*r**2/3 + 54316*r/3 - 36208 = 0.
2, 27156
What is a in -5*a**2 + 2654740*a - 352382223380 = 0?
265474
Factor -2*z**3/3 - 960*z**2 - 390112*z - 92814592/3.
-2*(z + 104)*(z + 668)**2/3
Factor -w**4/12 + 18991*w**3/3 + 37983*w**2/2 + 56975*w/3 + 75967/12.
-(w - 75967)*(w + 1)**3/12
Factor d**3/5 + 7268*d**2/5 - 7269*d/5.
d*(d - 1)*(d + 7269)/5
Find d, given that -8*d**3/3 - 51556*d**2/3 - 25772*d/3 + 8592 = 0.
-6444, -1, 1/2
Factor 5*t**3 + 7700*t**2 - 116705*t - 124400.
5*(t - 16)*(t + 1)*(t + 1555)
Factor -5*s**3 - 150*s**2 - 685*s + 840.
-5*(s - 1)*(s + 7)*(s + 24)
Find a, given that 2*a**3/3 + 40*a**2/3 - 62*a + 48 = 0.
-24, 1, 3
Suppose x**5 - 36*x**4 - 474*x**3 - 1952*x**2 - 3207*x - 1692 = 0. What is x?
-4, -3, -1, 47
Let -6*l**4/5 + 3974*l**3/5 - 654708*l**2/5 - 1099584*l/5 - 440896/5 = 0. Calculate l.
-1, -2/3, 332
Let 21*b**2/2 + 13320*b - 11421/2 = 0. Calculate b.
-1269, 3/7
Find i, given that 2*i**2 - 2848*i + 945438 = 0.
527, 897
Let -4*c**5 - 552*c**4 - 18116*c**3 + 90512*c**2 + 1832880*c + 1724800 = 0. Calculate c.
-70, -8, -1, 11
Factor 2*p**3 + 2748*p**2 - 27702*p - 30448.
2*(p - 11)*(p + 1)*(p + 1384)
Determine m so that -3*m**5 - 170*m**4 - 277*m**3 - 110*m**2 = 0.
-55, -1, -2/3, 0
Factor -4*o**3/7 + 4244*o**2/7 + 64560*o/7.
-4*o*(o - 1076)*(o + 15)/7
Determine t, given that 2*t**4 + 3630*t**3 - 14546*t**2 + 10914*t = 0.
-1819, 0, 1, 3
Solve -4*g**4 - 224*g**3 + 4796*g**2 - 12264*g = 0 for g.
-73, 0, 3, 14
Suppose 3*s**5/4 + 9*s**4/4 - 33*s**3/4 - 9*s**2/4 + 15*s/2 = 0. What is s?
-5, -1, 0, 1, 2
Factor 5*a**4 + 1835*a**3 - 60*a**2 - 21940*a + 29360.
5*(a - 2)**2*(a + 4)*(a + 367)
Factor -d**3/3 - 4734*d**2 - 16808067*d.
-d*(d + 7101)**2/3
Factor -2*s**2/9 - 1917160*s/9 - 459437808200/9.
-2*(s + 479290)**2/9
Solve 2*i**2 - 99328*i + 99326 = 0 for i.
1, 49663
Find z, given that 2*z**4/13 - 126*z**3/13 - 1402*z**2/13 - 4194*z/13 - 2920/13 = 0.
-5, -4, -1, 73
Suppose 4*t**2 + 38560*t + 731196 = 0. What is t?
-9621, -19
Suppose -2*y**3/13 + 372*y**2/13 - 4248*y/13 + 12528/13 = 0. What is y?
6, 174
Factor -n**3 - 965*n**2 - 287527*n - 24590307.
-(n + 147)*(n + 409)**2
Let 4*y**5/3 + 698*y**4/9 + 8*y**3/9 - 698*y**2 - 116*y = 0. Calculate y.
-58, -3, -1/6, 0, 3
Solve v**5 + 458*v**4 - 10922*v**3 + 67744*v**2 - 37279*v - 116402 = 0 for v.
-481, -1, 2, 11
Let 192*g**4 - 37392*g**3 - 84861*g**2 - 47871*g = 0. Calculate g.
-9/8, 0, 197
Factor 4*z**3 + 380*z**2 + 8728*z + 8352.
4*(z + 1)*(z + 36)*(z + 58)
Solve 5*l**2 + 130765*l - 130770 = 0 for l.
-26154, 1
Factor -2*p**3/3 - 3436*p**2/3 - 1492792*p/3 - 14586320/3.
-2*(p + 10)*(p + 854)**2/3
Find a, given that 50*a**5 - 1235*a**4 + 6675*a**3 + 365*a**2 - 43025*a - 12750 = 0.
-2, -3/10, 5, 17
Solve g**3/3 + 76*g**2/3 - 319*g = 0 for g.
-87, 0, 11
Determine x, given that x**4/6 - 1022*x**3 + 4678667*x**2/3 + 21984242*x + 462723121/6 = 0.
-7, 3073
Let 4*d**3 + 128*d**2 - 84*d - 12528 = 0. Calculate d.
-29, -12, 9
Solve -s**2/2 - 57776*s + 115554 = 0 for s.
-115554, 2
Factor 3*u**3/8 - 861*u**2/4 + 10251*u/8 - 1917.
3*(u - 568)*(u - 3)**2/8
Factor -i**5 - 42*i**4 - 38*i**3 + 128*i**2 + 207*i + 82.
-(i - 2)*(i + 1)**3*(i + 41)
Suppose -g**3/2 - 5901*g**2 - 23601*g/2 - 5900 = 0. What is g?
-11800, -1
Determine p, given that -21*p**3 + 2169*p**2 - 2760*p + 612 = 0.
2/7, 1, 102
Determine j, given that j**3 + 311*j**2 - 8426*j - 8736 = 0.
-336, -1, 26
Factor 2*z**4/11 + 716*z**3/11 + 8614*z**2 + 5490288*z/11 + 117596448/11.
2*(z + 71)**2*(z + 108)**2/11
Let -5*d**2 - 114825*d - 114820 = 0. Calculate d.
-22