
Determine y so that 3*y**2/4 + 13023*y + 56532843 = 0.
-8682
Find m such that -m**5/7 - 4*m**4/7 + 16*m**2/7 + 16*m/7 = 0.
-2, 0, 2
Suppose 2*b**2 - 1536*b + 31374 = 0. What is b?
21, 747
Factor 60*g**3 - 3845*g**2 + 21200*g - 1740.
5*(g - 58)*(g - 6)*(12*g - 1)
Factor 2*f**3 - 189568*f**2/7 + 641768920*f/7 - 366663200/7.
2*(f - 6770)**2*(7*f - 4)/7
Factor -2*h**3/9 - 8*h**2/9 + 118*h/9 + 28.
-2*(h - 7)*(h + 2)*(h + 9)/9
Find p such that -4*p**3 - 423348*p**2 + 423352*p = 0.
-105838, 0, 1
Factor -5*g**4/2 + 85*g**3/2 - 75*g**2.
-5*g**2*(g - 15)*(g - 2)/2
Factor 12*d**3 + 856*d**2 - 2432*d - 4736.
4*(d - 4)*(d + 74)*(3*d + 4)
Let 2*a**4/5 - 252*a**3/5 + 9234*a**2/5 - 77976*a/5 = 0. What is a?
0, 12, 57
Factor u**4/8 + 566*u**3 + 637307*u**2 - 7708920*u + 23188050.
(u - 6)**2*(u + 2270)**2/8
Let a**3 - 33313*a**2 + 277422335*a + 277455649 = 0. What is a?
-1, 16657
Solve 123*n**4 - 375*n**3 - 474*n**2 + 24*n = 0 for n.
-1, 0, 2/41, 4
Let -12*m**4/5 - 596*m**3/5 - 500*m**2 + 180*m = 0. What is m?
-45, -5, 0, 1/3
Let 3*l**5/2 - 69*l**4/2 - 2289*l**3/2 - 4359*l**2/2 - 1071*l = 0. Calculate l.
-17, -1, 0, 42
Solve -32*h**4/17 - 976*h**3/17 + 3918*h**2/17 + 3256*h/17 - 968 = 0.
-34, -2, 11/4
Determine n so that -3*n**5/2 + 33*n**4/2 + 17550*n**3 + 925344*n**2 + 13081824*n - 30005640 = 0.
-42, 2, 135
Solve -5*k**4 + 15*k**3 + 140*k**2 - 300*k = 0 for k.
-5, 0, 2, 6
Suppose 18*g**5/5 + 672*g**4/5 + 1904*g**3/5 - 4556*g**2/5 + 2302*g/5 - 68 = 0. What is g?
-34, -5, 1/3, 1
Factor -4*d**3 + 176696*d**2 - 1951518960*d + 3902331168.
-4*(d - 22086)**2*(d - 2)
Factor 6*m**2/11 - 698*m/11 - 1904/11.
2*(m - 119)*(3*m + 8)/11
Let -12*o**5/7 - 855*o**4/7 - 13668*o**3/7 - 12087*o**2/7 + 55134*o/7 - 28512/7 = 0. Calculate o.
-48, -22, -3, 3/4, 1
What is d in 3*d**3/7 + 222*d**2/7 - 25500*d/7 + 492456/7 = 0?
-142, 34
Factor -2*v**4 + 3268*v**3 - 13040*v**2.
-2*v**2*(v - 1630)*(v - 4)
Find c such that 3*c**2/2 - 96039*c - 576288 = 0.
-6, 64032
Suppose -2*w**2 - 254888*w - 8120986568 = 0. What is w?
-63722
Suppose -a**5/4 - 89*a**4/4 - 877*a**3/4 - 1491*a**2/4 - 351*a/2 = 0. Calculate a.
-78, -9, -1, 0
Determine k, given that 4*k**2 + 38424*k + 92275236 = 0.
-4803
Suppose 2*l**3/3 - 38798*l**2/3 - 2*l/3 + 38798/3 = 0. Calculate l.
-1, 1, 19399
Solve x**2 - 21396*x + 114447204 = 0.
10698
Determine o so that -2*o**4/11 - 60*o**3/11 - 634*o**2/11 - 2784*o/11 - 4320/11 = 0.
-12, -9, -5, -4
Factor 2*a**2/11 - 3816*a/11 - 77120/11.
2*(a - 1928)*(a + 20)/11
Suppose -2*a**2/11 - 1676*a/11 - 80274/11 = 0. Calculate a.
-787, -51
Solve -3*b**3 + 1482*b**2 - 202011*b + 4560276 = 0 for b.
28, 233
Determine h, given that -4*h**4 + 200*h**3 + 3712*h**2 + 12472*h - 16380 = 0.
-9, -7, 1, 65
Find o, given that 3*o**5/8 + 57*o**4/8 - 333*o**3/8 - 5457*o**2/8 + 165*o/4 + 675 = 0.
-20, -9, -1, 1, 10
Suppose 45*c**4 + 10475*c**3 + 69400*c**2 + 106100*c - 27120 = 0. Calculate c.
-226, -4, -3, 2/9
Factor -a**4 - 9*a**3 + 47*a**2 - 63*a + 26.
-(a - 2)*(a - 1)**2*(a + 13)
Factor -5*u**2 - 67955*u - 543320.
-5*(u + 8)*(u + 13583)
Factor 3*q**4 + 441*q**3 - 5184*q**2 + 4740*q.
3*q*(q - 10)*(q - 1)*(q + 158)
Let h**4/4 + 89*h**3/2 - 361*h**2/4 - 89*h/2 + 90 = 0. Calculate h.
-180, -1, 1, 2
Factor -o**4/7 - 32*o**3/7 - 96*o**2/7 + 512*o/7 + 256.
-(o - 4)*(o + 4)**2*(o + 28)/7
Let y**5/2 - 432*y**4 + 186617*y**3/2 + 3027*y**2 - 655776*y + 559872 = 0. Calculate y.
-3, 1, 2, 432
What is p in 2*p**5/3 - 41*p**4/3 - 8*p**3 + 62*p**2/3 + 22*p/3 - 7 = 0?
-1, 1/2, 1, 21
Factor a**4/5 + 834*a**3/5 + 333*a**2 + 832*a/5.
a*(a + 1)**2*(a + 832)/5
Determine a, given that 4*a**2 + 222*a + 324 = 0.
-54, -3/2
Solve 5545*a**3/3 - 22178*a**2/3 - 27733*a/3 - 10/3 = 0.
-1, -2/5545, 5
Let u**4/8 + 25093*u**3/8 + 78713603*u**2/4 + 39337983*u/2 - 39350529 = 0. Calculate u.
-12546, -2, 1
Factor -2*y**2/3 + 54616*y/3 + 18206.
-2*(y - 27309)*(y + 1)/3
Let -2*r**4 + 22058*r**3 + 22064*r**2 - 44120*r = 0. Calculate r.
-2, 0, 1, 11030
Let -9*k**4/4 - 24*k**3 + 41570*k**2 - 55392*k + 18460 = 0. Calculate k.
-142, 2/3, 130
What is g in -2*g**4/9 + 44*g**3/9 + 286*g**2/9 - 112*g/3 - 288 = 0?
-4, 3, 27
Factor -w**3/3 - 509291*w**2/3.
-w**2*(w + 509291)/3
Suppose -3*g**5 + 672*g**4 + 9090*g**3 + 36072*g**2 + 44793*g = 0. What is g?
-7, -3, 0, 237
Suppose -2*t**3/11 + 29356*t**2/11 - 107663106*t/11 - 431122248/11 = 0. Calculate t.
-4, 7341
Solve 2*o**4/11 + 13214*o**3/11 + 2593656*o**2 + 1711166688*o - 256812336000 = 0 for o.
-2244, 125
Let -t**3/5 + 1735*t**2 - 3767115*t + 18792225 = 0. Calculate t.
5, 4335
Find j, given that -3*j**4/2 + 109*j**3/2 + 424*j**2 + 258*j = 0.
-6, -2/3, 0, 43
Let -2*p**2/9 - 10460*p - 123088050 = 0. What is p?
-23535
What is r in 4*r**2/7 + 18488*r/7 - 36992/7 = 0?
-4624, 2
Let -c**2 + 437*c - 15522 = 0. What is c?
39, 398
Find n, given that 2*n**4/5 + 54*n**3/5 + 36*n**2 - 1944*n/5 - 9072/5 = 0.
-21, -6, 6
Solve -o**3/6 + 415*o**2/6 - 206*o/3 - 138 = 0 for o.
-1, 2, 414
Factor 4*s**5 + 2660*s**4 + 5304*s**3.
4*s**3*(s + 2)*(s + 663)
Factor 4*d**4 - 224*d**3 - 1268*d**2 + 18480*d.
4*d*(d - 60)*(d - 7)*(d + 11)
What is z in z**3 - 5*z**2 - 125*z - 375 = 0?
-5, 15
Factor 3*w**3 + 24*w**2 - 297*w + 270.
3*(w - 6)*(w - 1)*(w + 15)
Factor -4*j**3 + 1124*j**2 + 119064*j.
-4*j*(j - 363)*(j + 82)
Solve 4*o**3 + 332*o**2 - 43716*o - 134028 = 0.
-153, -3, 73
Solve -q**2 - 1987*q + 42168 = 0 for q.
-2008, 21
Factor 2*q**3 + 4958*q**2/5 + 614048*q/5 - 123008/5.
2*(q + 248)**2*(5*q - 1)/5
Determine f, given that 2*f**2/7 - 730*f/7 - 5968/7 = 0.
-8, 373
Suppose -9240*z**3 + 17869*z**2 + 1212*z + 20 = 0. What is z?
-2/55, -5/168, 2
Factor 3*h**4 - 5043*h**3 + 2096469*h**2 + 19238115*h + 17136600.
3*(h - 845)**2*(h + 1)*(h + 8)
Factor z**3/8 + 7*z**2/4 - 8125*z/8 - 20425/4.
(z - 86)*(z + 5)*(z + 95)/8
Factor 116*j**3 - 25524*j**2 + 76396*j - 2604.
4*(j - 217)*(j - 3)*(29*j - 1)
Find q such that q**4/3 - 517*q**3 - 1562*q**2 + 37216*q/3 + 41440 = 0.
-4, 5, 1554
Factor -12*u**2 + 5427*u + 31602.
-3*(u - 458)*(4*u + 23)
Factor f**2 + 282*f - 1144.
(f - 4)*(f + 286)
Factor -v**2/6 + 2265*v/2 + 6797/3.
-(v - 6797)*(v + 2)/6
Factor -7302*o**2/7 - 7306*o/7 - 4/7.
-2*(o + 1)*(3651*o + 2)/7
Let -w**5/11 + 122*w**4/11 - 2982*w**3/11 - 9688*w**2/11 - 9937*w/11 - 3354/11 = 0. What is w?
-1, 39, 86
Solve -2*y**3/3 + 1072*y**2/3 + 8690*y/3 + 7616/3 = 0 for y.
-7, -1, 544
What is w in -5*w**5/2 + 55*w**4 - 325*w**3/2 - 370*w**2 + 930*w + 1080 = 0?
-2, -1, 3, 4, 18
Factor z**2/2 - 7529*z/2 - 15066.
(z - 7533)*(z + 4)/2
Factor -2*h**2 - 3014*h.
-2*h*(h + 1507)
Solve -x**3/3 + 325*x**2/3 - 11722*x/3 + 7384 = 0 for x.
2, 39, 284
Factor 5*o**2 + 1570*o.
5*o*(o + 314)
Factor -2*t**4 + 5494*t**3 - 49338*t**2 + 147906*t - 147852.
-2*(t - 2738)*(t - 3)**3
Solve -5*c**5 + 265*c**4 - 730*c**3 - 1000*c**2 = 0.
-1, 0, 4, 50
Solve 45*w**5 + 755*w**4 + 505*w**3 - 915*w**2 - 550*w + 160 = 0.
-16, -1, 2/9, 1
Determine g, given that g**4/8 + 141*g**3/8 - 3835*g**2/8 + 20523*g/8 - 8415/4 = 0.
-165, 1, 6, 17
Determine f, given that -5*f**4 + 1235*f**3 - 4720*f**2 - 33860*f - 38880 = 0.
-2, 8, 243
Factor -5060*t**2 - 5*t.
-5*t*(1012*t + 1)
Solve 2*m**5/5 + 62*m**4 + 1124*m**3/5 - 12612*m**2/5 + 11034*m/5 + 24462/5 = 0 for m.
-151, -9, -1, 3
Find b, given that -5*b**5/4 - 21885*b**4/4 - 24621175*b**3/4 - 1461357375*b**2/4 + 1139187195*b - 767687085 = 0.
-2157, -66, 1, 2
Factor -v**2/4 + 123*v/2 + 18727/4.
-(v - 307)*(v + 61)/4
Factor -j**4 - 330*j**3 - 28816*j**2 - 261120*j - 409600.
-(j + 2)*(j + 8)*(j + 160)**2
Solve 2*f**2/17 - 554*f/17 + 7860/17 = 0.
15, 262
Suppose -l**3 + 22059*l**2 - 121528455*l - 1339483475 = 0. Calculate l.
-11, 11035
Determine d, given that 3*d**4 + 56777*d**3 - 246074*d**2 + 302876*d - 75720 = 0.
-18930, 1/3, 2
Determine k, given that 538*k**2/11 + 4306*k/11 + 16/11 = 0.
-8, -1/269
What is g in -g**4 - 87*g**3 + 783*g**2 + 2155*g - 2850 = 0?
-95, -3, 1, 10
Determine r, given that 1172*r**2/7 - 2832*r/7 = 0.
0, 708/293
Find a, given that 15*a**4 - 99*a**3 - 1032*a**2 + 684*a + 432 = 0.
-6, -2/5, 1, 12
Find o such that -2*o**2/5 + 3726*o/5 - 70072/5 = 0.
19, 1844
Factor 3*h**3 - 36*h**2 + 87*h + 126.
3*(h - 7)*(h - 6)*(h + 1)
Factor -u**2 - 1331*u + 24282.
-(u - 18)*(u + 1349)
Factor 5*f**2 + 12320*f + 36915.
5*(f + 3)*(f +