, given that 134*p**2/11 + 120330*p/11 - 1796/11 = 0.
-898, 1/67
Let 5*i**4 + 290*i**3 + 5425*i**2 + 30580*i - 36300 = 0. Calculate i.
-22, -15, 1
Factor -2*n**2/9 + 15560*n/9 + 15562/9.
-2*(n - 7781)*(n + 1)/9
Suppose -f**4/7 - 146028*f**3/7 - 5331044196*f**2/7 = 0. What is f?
-73014, 0
Determine x so that x**5/3 - 476*x**4/3 - 799*x**3 - 3844*x**2/3 - 1924*x/3 = 0.
-2, -1, 0, 481
Factor 2*o**2/5 + 92*o/5 - 294/5.
2*(o - 3)*(o + 49)/5
Suppose -b**2 - 13460*b - 45292900 = 0. What is b?
-6730
Factor 3*a**3 - 12*a**2 - 2016*a.
3*a*(a - 28)*(a + 24)
Factor 3*q**3 - 88929*q**2 + 659075049*q - 658986123.
3*(q - 14821)**2*(q - 1)
Factor -439*n**2/4 - 103*n/2.
-n*(439*n + 206)/4
Solve 2*q**5 - 53374*q**4 + 356178038*q**3 - 1068213890*q**2 + 1068107152*q - 356017928 = 0 for q.
1, 13342
Factor -d**2 - 6734*d - 33645.
-(d + 5)*(d + 6729)
Find k such that k**3/6 - 11*k**2 + 899*k/6 + 345 = 0.
-2, 23, 45
Factor a**2/4 + 179701*a/2 + 32292449401/4.
(a + 179701)**2/4
Determine p, given that 7*p**4/3 - 145*p**3/3 - 40*p**2/3 + 8560*p/3 + 2816 = 0.
-44/7, -1, 12, 16
What is t in 4418*t**3 + 134796*t**2 + 1149720*t + 1795600 = 0?
-670/47, -2
Factor 2*z**4/7 - 34688*z**3 + 7370194044*z**2/7 - 2105665664*z + 7369708418/7.
2*(z - 60703)**2*(z - 1)**2/7
Factor 3*r**2 - 30825*r.
3*r*(r - 10275)
Determine c so that -22*c**3 - 956700*c**2 - 10401024966*c - 3782064392 = 0.
-21743, -4/11
What is m in 4*m**2 - 7548200*m + 3560957702500 = 0?
943525
Find x such that -20*x**5 - 2848*x**4 + 53404*x**3 + 95976*x**2 - 313776*x - 137376 = 0.
-159, -3, -2/5, 2, 18
Factor d**2/4 + 403*d/2 + 21033/4.
(d + 27)*(d + 779)/4
Let -6*w**4 - 3364*w**3 + 25144*w**2 + 86416*w + 45440 = 0. What is w?
-568, -2, -2/3, 10
Factor 4*c**3 - 3056*c**2 + 50724*c + 53784.
4*(c - 747)*(c - 18)*(c + 1)
Factor -4*b**3 - 42572*b**2 - 113081632*b + 1021185936.
-4*(b - 9)*(b + 5326)**2
Factor 2*s**2/13 + 168*s/13 + 3286/13.
2*(s + 31)*(s + 53)/13
Factor 2*q**3 - 84*q**2 - 5040*q - 44928.
2*(q - 78)*(q + 12)*(q + 24)
Let 6*o**4/11 - 4948*o**3/11 + 159504*o**2/11 + 219828*o/11 + 55370/11 = 0. What is o?
-1, -1/3, 35, 791
Factor u**2/3 - 75*u + 12614/3.
(u - 119)*(u - 106)/3
Solve 3*f**4/5 + 375*f**3 - 5715*f**2 + 28725*f - 48000 = 0.
-640, 5
Factor 4*z**3 + 112308*z**2 + 336896*z + 224592.
4*(z + 1)*(z + 2)*(z + 28074)
Find c, given that c**2 - 641*c - 39032 = 0.
-56, 697
Suppose -10*k**4/13 - 606*k**3/13 - 5996*k**2/13 - 15144*k/13 + 7056/13 = 0. What is k?
-49, -6, 2/5
Find c, given that 18*c**5/5 - 219*c**4/5 - 54*c**3/5 + 3471*c**2/5 - 3744*c/5 + 528/5 = 0.
-4, 1/6, 1, 4, 11
Suppose 2*l**2/15 - 394*l/15 - 32116/15 = 0. Calculate l.
-62, 259
Let -4*y**3 - 316916*y**2 + 1267712*y - 1267728 = 0. What is y?
-79233, 2
Factor -y**3/2 - 10716*y**2.
-y**2*(y + 21432)/2
Determine t so that t**4/3 + 14317*t**3 = 0.
-42951, 0
Solve 46*b**2 + 2075*b + 10794 = 0 for b.
-1799/46, -6
What is a in 2*a**3/7 + 1286*a**2/7 - 3876*a/7 = 0?
-646, 0, 3
Suppose -s**5/4 - 1873*s**4/4 - 468*s**3 = 0. Calculate s.
-1872, -1, 0
Factor -75*n**2 - 85*n - 14.
-(5*n + 1)*(15*n + 14)
Suppose -2*i**5/3 - 478*i**4/3 - 37438*i**3/3 - 955322*i**2/3 + 12480*i + 318600 = 0. What is i?
-90, -59, -1, 1
Let 5*l**2 + 210080*l + 210075 = 0. Calculate l.
-42015, -1
Solve 5*g**3 + 10125*g**2 + 220935*g + 1211815 = 0.
-2003, -11
Factor -2*s**2/15 - 328*s.
-2*s*(s + 2460)/15
Factor 56409*l**2/5 + 282046*l/5 + 1.
(l + 5)*(56409*l + 1)/5
Factor d**3 + 13520*d**2 + 46140493*d + 2986666914.
(d + 66)*(d + 6727)**2
Find a, given that -10*a**2/9 + 526454*a/3 - 315872/9 = 0.
1/5, 157936
Factor 3*n**3 - 1227*n**2 - 8736*n.
3*n*(n - 416)*(n + 7)
Find p such that p**3/7 + 291*p**2/7 + 13500*p/7 + 37908/7 = 0.
-234, -54, -3
Suppose -507*b**4 - 466791*b**3 - 5840964*b**2 + 1830372*b - 141648 = 0. What is b?
-908, -13, 2/13
Factor -s**3/6 - 26935*s**2/6 - 67327*s/3 - 53860/3.
-(s + 1)*(s + 4)*(s + 26930)/6
Determine s so that 3*s**3/7 - 968*s**2/7 - 185*s - 324/7 = 0.
-1, -1/3, 324
Factor 2*p**3/3 - 1166*p**2/3 + 201760*p/3 - 10917400/3.
2*(p - 323)*(p - 130)**2/3
Solve 4*l**2 + 61048*l + 427140 = 0 for l.
-15255, -7
Factor 2*y**2/3 + 135616*y/3 + 2298962432/3.
2*(y + 33904)**2/3
Find y, given that -4*y**3 + 5060*y**2 - 1730300*y + 80525500 = 0.
55, 605
Factor 8*q**2/17 + 2214*q/17 - 6714/17.
2*(q - 3)*(4*q + 1119)/17
Solve -2*r**4/9 - 2062*r**3 + 12374*r**2/3 - 18562*r/9 = 0 for r.
-9281, 0, 1
Determine y, given that -4*y**4 - 49204*y**3 - 245896*y**2 + 295104*y = 0.
-12296, -6, 0, 1
Suppose -4*q**3 + 244*q**2 + 4*q - 244 = 0. What is q?
-1, 1, 61
Determine p so that -20*p**5 - 976*p**4 - 13812*p**3 - 55080*p**2 = 0.
-27, -15, -34/5, 0
Determine p so that 3*p**5/7 + 7019*p**4/7 + 4104333*p**3/7 - 1432071*p**2/7 - 36939240*p/7 + 12320100/7 = 0.
-1170, -3, 1/3, 3
Find s such that 11746*s**2/19 + 70480*s/19 + 24/19 = 0.
-6, -2/5873
Factor 2*t**2/21 + 820*t/21 - 1168.
2*(t - 28)*(t + 438)/21
Find p such that 4*p**5 + 112*p**4 + 256*p**3 - 1112*p**2 - 260*p + 1000 = 0.
-25, -5, -1, 1, 2
What is o in 2*o**3 - 79326*o**2 - 634704*o - 1269472 = 0?
-4, 39671
Factor 5*g**2 + 2036*g - 1632.
(g + 408)*(5*g - 4)
Suppose 11163*n**4/8 + 21411*n**3 + 113793*n**2 + 242892*n + 179574 = 0. Calculate n.
-346/61, -2
Factor -3*j**2 - 11997*j - 11994.
-3*(j + 1)*(j + 3998)
Factor -40*g**4 - 521*g**3 - 13*g**2.
-g**2*(g + 13)*(40*g + 1)
Determine c, given that -c**4 - 41*c**3 - 434*c**2 - 1084*c + 1560 = 0.
-26, -10, -6, 1
Determine r so that -21*r**4 - 447*r**3 + 3171*r**2 - 1893*r - 810 = 0.
-27, -2/7, 1, 5
Solve -4*z**4/11 + 2546*z**3/11 - 1268*z**2/11 - 2546*z/11 + 1272/11 = 0 for z.
-1, 1/2, 1, 636
Factor -926*j**2 - 9274*j - 140.
-2*(j + 10)*(463*j + 7)
Factor -2*v**3 + 23060*v**2 + 230800*v.
-2*v*(v - 11540)*(v + 10)
Factor 3*x**2/7 + 15138*x/7 + 226395/7.
3*(x + 15)*(x + 5031)/7
Find g such that g**2/4 + 555*g - 11125/4 = 0.
-2225, 5
Factor -836*g**2/21 + 834*g/7 + 6/7.
-2*(g - 3)*(418*g + 3)/21
Let 384*z**4/7 + 101336*z**3/7 + 41444*z**2 - 32376*z/7 - 3132/7 = 0. What is z?
-261, -3, -1/16, 1/6
Factor -2*v**2/21 - 5996*v/21 - 19550/3.
-2*(v + 23)*(v + 2975)/21
Solve -s**2 + 29944*s - 29943 = 0 for s.
1, 29943
Factor 5*n**2 - 1363870*n + 93007068845.
5*(n - 136387)**2
Solve 2*q**2/7 - 5324*q/7 + 3543122/7 = 0 for q.
1331
Find j such that 4*j**5 + 152*j**4 + 1328*j**3 + 3880*j**2 + 2700*j = 0.
-27, -5, -1, 0
Suppose c**3/4 + 12*c**2 - 99*c/4 + 25/2 = 0. Calculate c.
-50, 1
Find l, given that 2*l**3 + 818*l**2 - 72600*l = 0.
-484, 0, 75
Find k such that 2*k**3/3 - 1462*k**2 + 857472*k - 455277032/3 = 0.
406, 1381
Let 3*o**3/7 - 102*o**2/7 - 144*o = 0. Calculate o.
-8, 0, 42
Factor -2*w**3/7 + 133946*w**2/7 - 267886*w/7 + 133942/7.
-2*(w - 66971)*(w - 1)**2/7
Suppose b**3/4 - 10*b**2 - 247*b - 812 = 0. Calculate b.
-14, -4, 58
Let 4*f**5 + 200*f**4 - 2004*f**3 + 6904*f**2 - 10288*f + 5664 = 0. Calculate f.
-59, 2, 3
Determine m so that -25*m**5/9 + 395*m**4/9 - 493*m**3/3 - 575*m**2/9 + 1072*m/9 - 28 = 0.
-1, 2/5, 7, 9
Determine y, given that -y**4 + 10*y**3 + 48*y**2 - 122*y + 65 = 0.
-5, 1, 13
What is m in -5*m**4/2 + 135*m**3/2 + 4495*m**2 = 0?
-31, 0, 58
Factor 2*r**3/15 + 728*r**2/5 + 213792*r/5 + 24162688/15.
2*(r + 44)*(r + 524)**2/15
Solve 3*f**3/4 - 105789*f**2 - 846321*f/4 - 211581/2 = 0.
-1, 141054
Factor -z**2 + 88*z + 1785.
-(z - 105)*(z + 17)
Find d, given that 20*d**4 - 1464*d**3 - 351188*d**2 + 70296*d = 0.
-101, 0, 1/5, 174
Determine y so that -20*y**4/7 + 5456*y**3/7 + 51692*y**2/7 + 55240*y/7 + 9024/7 = 0.
-8, -1, -1/5, 282
Find h such that 5*h**5/3 + 194*h**4/3 + 167*h**3 - 128*h**2/3 - 716*h/3 + 48 = 0.
-36, -2, 1/5, 1
Factor 4*a**3/9 + 608*a**2/9 + 16384*a/9 + 40960/3.
4*(a + 16)**2*(a + 120)/9
Determine p, given that 434*p**2/5 - 872*p/5 + 8/5 = 0.
2/217, 2
Factor -3*j**3/2 - 252*j**2 - 2931*j/2 - 1215.
-3*(j + 1)*(j + 5)*(j + 162)/2
Factor -c**2/3 + 35953*c/3 + 467558/3.
-(c - 35966)*(c + 13)/3
Factor -a**2/4 - 2607*a/4 - 6505/2.
-(a + 5)*(a + 2602)/4
Solve r**3 - 15*r**2 - 69*r + 595 = 0 for r.
-7, 5, 17
Determine l so that 3*l**5 - 129*l**4 + 1104*l**3 + 2280*l**2 - 8496*l - 15120 = 0.
-2, 3, 14, 30
Determine a so that 2*a**3/11 + 4838*a**2/11 - 14532*a/11 = 0.
-2422, 0, 3
Solve s**3 - 1709*s**2 - 12006*s - 10296 = 0 for s.
-6, -1, 1716
Let -455*y**