4, 20
Suppose 45*r**5 + 2060*r**4 - 9685*r**3 - 9200*r**2 + 2500*r = 0. Calculate r.
-50, -1, 0, 2/9, 5
Suppose 585*y**4 - 1180*y**3 + 605*y**2 - 10*y = 0. Calculate y.
0, 2/117, 1
Factor 3*k**2 - 2751*k + 61686.
3*(k - 894)*(k - 23)
Let -2*y**4/3 + 3806*y**3/3 - 602932*y**2 - 1820224*y/3 + 3625216/3 = 0. Calculate y.
-2, 1, 952
Determine t so that -3*t**5 - 315*t**4 - 7872*t**3 - 77160*t**2 - 291600*t - 222000 = 0.
-74, -10, -1
Factor 2*s**2/15 - 21174*s/5 - 127052/15.
2*(s - 31763)*(s + 2)/15
Factor 8*w**3 - 150*w**2 - 5142*w - 9620.
2*(w - 37)*(w + 2)*(4*w + 65)
Factor q**3/4 - 143*q**2/2 - 6517*q - 130682.
(q - 362)*(q + 38)**2/4
Suppose -5*f**4 + 785*f**3 + 875*f**2 - 13505*f + 11850 = 0. What is f?
-5, 1, 3, 158
Find d such that -d**5 - 47*d**4 + 5*d**3 + 235*d**2 - 4*d - 188 = 0.
-47, -2, -1, 1, 2
Find m such that m**3/5 + 649*m**2/5 - m/5 - 649/5 = 0.
-649, -1, 1
Suppose 175*r**5 + 69590*r**4/3 - 101474*r**3/3 + 16324*r**2 - 9643*r/3 + 670/3 = 0. What is r?
-134, 1/5, 1/3, 5/7
Factor g**4/3 - 674*g**3/3 + 51480*g**2 - 12680800*g/3 + 149072000/3.
(g - 220)**3*(g - 14)/3
Determine u, given that -u**5/8 - 45*u**4/8 - 375*u**3/8 - 875*u**2/8 + 9*u/2 + 315/2 = 0.
-35, -6, -3, -2, 1
What is w in -w**2 - 1805*w - 3606 = 0?
-1803, -2
Find r, given that -r**4/2 - 853*r**3 + 6843*r**2/2 + 2556*r - 15390 = 0.
-1710, -2, 3
Factor 2*y**3/21 + 56*y**2/3 + 110*y/3 - 388/7.
2*(y - 1)*(y + 3)*(y + 194)/21
What is b in 2*b**5 + 440*b**4 - 28030*b**3 + 425180*b**2 - 768040*b + 370448 = 0?
-274, 1, 26
Factor -4*i**5 - 472*i**4 - 8344*i**3 - 50176*i**2 - 75460*i + 134456.
-4*(i - 1)*(i + 7)**3*(i + 98)
Factor 2*l**3 + 53*l**2 + 314*l + 144.
(l + 8)*(l + 18)*(2*l + 1)
Factor -2*c**2 - 50360*c - 50358.
-2*(c + 1)*(c + 25179)
Find s such that 2*s**4/9 - 8806*s**3/9 + 70160*s**2/3 - 140128*s = 0.
0, 12, 4379
Find r such that 26*r**3/7 - 5178*r**2/7 - 4404*r/7 + 800/7 = 0.
-1, 2/13, 200
Factor -26*y**2 - 1552*y - 5376.
-2*(y + 56)*(13*y + 48)
Find j such that -j**5 + 33*j**4 + 614*j**3 + 2028*j**2 + 1880*j = 0.
-10, -2, 0, 47
Factor 183*q**4 - 834*q**3/5 - 81*q**2/5.
3*q**2*(q - 1)*(305*q + 27)/5
Factor -a**3/5 + 18041*a**2/5 + 7217*a + 18043/5.
-(a - 18043)*(a + 1)**2/5
Determine z, given that -z**2/2 - 3964*z - 102895/2 = 0.
-7915, -13
Find o, given that -4*o**2 + 1236*o + 22168 = 0.
-17, 326
Factor -3*l**2/2 - 23688*l - 93520224.
-3*(l + 7896)**2/2
Let 4*z**3 + 252356*z**2 = 0. What is z?
-63089, 0
Determine s so that s**4/5 - 1960*s**3 - 265113*s**2/5 - 424440*s - 4245264/5 = 0.
-12, -3, 9827
Suppose 4*l**2 + 17*l/12 - 31/12 = 0. Calculate l.
-1, 31/48
Let -c**5/6 - 5*c**4/2 + 17*c**3 + 386*c**2/3 - 332*c - 1008 = 0. Calculate c.
-18, -6, -2, 4, 7
Solve 15*v**4 - 5255*v**3 + 461125*v**2 - 153125*v = 0 for v.
0, 1/3, 175
Suppose -2*j**5/19 + 272*j**4/19 + 70220*j**3/19 - 70760*j**2/19 - 70218*j/19 + 70488/19 = 0. What is j?
-132, -1, 1, 267
Factor 1172*d**2 + 5880*d + 100.
4*(d + 5)*(293*d + 5)
Factor k**3/9 - 17389*k**2/9 - 69568*k/9 - 69572/9.
(k - 17393)*(k + 2)**2/9
Factor p**5/2 + 901*p**4/2 + 2243*p**3 + 2686*p**2 - 1796*p - 3584.
(p - 1)*(p + 2)**3*(p + 896)/2
Determine u, given that 2*u**4 + 14*u**3 - 386*u**2 - 806*u - 408 = 0.
-17, -1, 12
Suppose 4*g**4/7 - 10736*g**3/7 - 75324*g**2/7 - 64584*g/7 = 0. What is g?
-6, -1, 0, 2691
Determine t so that -2*t**3/5 - 192*t**2/5 - 4408*t/5 = 0.
-58, -38, 0
Factor o**2/4 - 6035*o/2 + 156741/4.
(o - 12057)*(o - 13)/4
Solve -4*v**4 + 39116*v**3 - 127413720*v**2 + 137945308816*v + 971873860384 = 0 for v.
-7, 3262
Let i**2/2 - 95*i/2 + 1037 = 0. Calculate i.
34, 61
Let 5*s**2 - 13755*s - 41310 = 0. Calculate s.
-3, 2754
Factor -88*f**3/3 - 1850*f**2/9 - 14*f/9.
-2*f*(f + 7)*(132*f + 1)/9
Factor 2*j**2/3 - 76186*j/3 - 25396.
2*(j - 38094)*(j + 1)/3
Factor 2*a**3/9 + 278*a**2/9 + 272*a/9 - 184/3.
2*(a - 1)*(a + 2)*(a + 138)/9
Factor -2*u**2 + 3116*u + 18768.
-2*(u - 1564)*(u + 6)
Find q such that -2*q**3/11 + 1384*q**2/11 - 240810*q/11 + 476100/11 = 0.
2, 345
Find s, given that 2*s**3 + 293344*s**2/3 - 228166*s + 195572/3 = 0.
-48893, 1/3, 2
Let -4*y**4/3 + 268*y**3/3 - 4760*y**2/3 + 17600*y/3 = 0. What is y?
0, 5, 22, 40
Find z such that 2*z**2/7 - 1704*z/7 - 1706/7 = 0.
-1, 853
Factor -c**2/5 + 40972*c/5 + 40973/5.
-(c - 40973)*(c + 1)/5
Solve -3*b**4 + 720*b**3 - 37434*b**2 - 749808*b + 4596765 = 0.
-19, 5, 127
Find g such that -147*g**3 - 168777*g**2 + 144747*g - 31023 = 0.
-1149, 3/7
Determine l so that -l**3 - 7138*l**2 - 12730620*l + 25489800 = 0.
-3570, 2
Suppose 2*v**3/9 + 526*v**2/9 + 11440*v/3 = 0. Calculate v.
-143, -120, 0
What is q in -2*q**3/3 + 19468*q**2/3 + 38942*q/3 + 19472/3 = 0?
-1, 9736
Factor -f**3 - 126*f**2 + 8991*f - 131220.
-(f - 27)**2*(f + 180)
What is s in -3*s**5 + 1833*s**4 - 279069*s**3 - 282741*s**2 + 279072*s + 280908 = 0?
-1, 1, 306
Factor -r**2/6 + 3041*r/3.
-r*(r - 6082)/6
Find a, given that -5*a**5 + 500*a**4 - 6860*a**3 + 11760*a**2 = 0.
0, 2, 14, 84
Factor -2*b**2 - 811*b/5 - 2343/5.
-(b + 3)*(10*b + 781)/5
Factor -2*d**4 - 1916*d**3 - 71682*d**2.
-2*d**2*(d + 39)*(d + 919)
Find i such that -3*i**3 + 29088*i**2 - 70567452*i + 281804592 = 0.
4, 4846
Let -9*m**3 + 58278*m**2 - 77692*m + 25896 = 0. Calculate m.
2/3, 6474
Find n such that -n**2 + 7795*n - 101166 = 0.
13, 7782
Find g, given that -2*g**5/5 - 101*g**4/5 - 1228*g**3/5 - 665*g**2 + 9648*g/5 + 5508/5 = 0.
-34, -9, -1/2, 2
Find v such that v**2/5 + 1039*v/5 + 39342 = 0.
-790, -249
Factor -2*m**3 + 40*m**2 + 322*m - 1800.
-2*(m - 25)*(m - 4)*(m + 9)
Determine m so that 4*m**2 - 835672*m + 43646730724 = 0.
104459
Suppose d**4/6 - 123*d**3/2 - 13*d**2/6 + 1595*d/2 + 738 = 0. Calculate d.
-3, -1, 4, 369
Determine m, given that -243*m**2 - 10455*m - 258 = 0.
-43, -2/81
Determine i, given that i**2 + 399*i + 27368 = 0.
-311, -88
Find b, given that 2*b**5/9 - 70*b**4/9 + 110*b**3/9 + 250*b**2/3 - 80*b - 264 = 0.
-2, 3, 33
Factor -j**2/3 + 732722*j/3 - 134220382321/3.
-(j - 366361)**2/3
Determine n so that 2*n**3 - 55962*n**2 + 391440198*n + 391496162 = 0.
-1, 13991
Solve 26*f**3 + 238*f**2 - 528*f = 0 for f.
-11, 0, 24/13
Let 36*s**5/7 - 60*s**4/7 - 1763*s**3/7 - 1438*s**2/7 + 1175*s - 5000/7 = 0. What is s?
-25/6, 1, 8
Factor 3*q**3/2 + 375*q**2/2 + 864*q - 4320.
3*(q - 3)*(q + 8)*(q + 120)/2
Let -2645*v**4/6 - 1161385*v**3/3 - 521430605*v**2/6 - 840236800*v - 2076672000 = 0. Calculate v.
-9984/23, -5
Factor -v**3/4 + 3*v**2/2 + 13*v - 30.
-(v - 10)*(v - 2)*(v + 6)/4
Solve 5*l**4 - 67760*l**3 + 406335*l**2 + 609640*l - 948220 = 0.
-2, 1, 7, 13546
Solve l**2/6 + 3031*l/3 + 10095/2 = 0 for l.
-6057, -5
Factor -3*s**2 - 489*s - 2826.
-3*(s + 6)*(s + 157)
Solve 42*j**2 + 124366*j + 11844 = 0 for j.
-2961, -2/21
Factor 3*j**3 - 51*j**2 + 42*j + 96.
3*(j - 16)*(j - 2)*(j + 1)
Suppose 2*c**5/13 - 140*c**4 + 381376*c**3/13 + 15149312*c**2/13 = 0. Calculate c.
-34, 0, 472
Factor -k**2/6 + 6017*k/3 + 96400/3.
-(k - 12050)*(k + 16)/6
Solve 5*f**2/6 + 185615*f/3 - 371240/3 = 0 for f.
-74248, 2
Solve -c**5 + 44*c**4 - 68*c**3 - 6080*c**2 = 0 for c.
-10, 0, 16, 38
Let -147*z**5/5 - 40488*z**4/5 - 477363*z**3/5 + 823962*z**2/5 - 350148*z/5 + 44184/5 = 0. Calculate z.
-263, -14, 2/7, 1
Determine y so that -5*y**5/6 - 535*y**4/6 + 460*y**3 - 2230*y**2/3 + 1120*y/3 = 0.
-112, 0, 1, 2
Suppose -2*s**2/3 + 4304*s + 129320/3 = 0. Calculate s.
-10, 6466
Let -4*x**3 + 53676*x**2 - 161000*x + 107328 = 0. What is x?
1, 2, 13416
Solve 161*t**2 + 1027*t + 1632 = 0.
-544/161, -3
Factor y**3/5 - 59*y**2/5 - 14*y/5 + 4176/5.
(y - 58)*(y - 9)*(y + 8)/5
Determine u so that -5*u**3 + 3455*u**2 + 14005*u - 72975 = 0.
-7, 3, 695
Factor 5*y**3 + 675*y**2 + 1960*y - 2640.
5*(y - 1)*(y + 4)*(y + 132)
Factor -28*x**2/5 - 5284992*x/5 + 302000.
-4*(x + 188750)*(7*x - 2)/5
Determine n, given that -n**3/2 - 22779*n**2/4 - 16213665*n + 32433025/4 = 0.
-5695, 1/2
Solve -z**4/5 - 124*z**3/5 - 2348*z**2/5 + 1040*z = 0 for z.
-100, -26, 0, 2
Factor 4*q**3/5 + 856*q**2/5 + 8624*q - 58080.
4*(q - 6)*(q + 110)**2/5
Suppose l**5/3 + 113*l**4/6 + 23*l**3/6 - 896*l**2/3 + 1558*l/3 - 560/3 = 0. What is l?
-56, -5, 1/2, 2
Factor -6*o**3 - 418*o**2 + 1454*o - 438.
-2*(o - 3)*(o + 73)*(3*o - 1)
Determine t, given that 2*t**2 - 16838*t = 0.
0, 8419
Factor 2*b**2 - 20602*b + 205