28932*y**2 - 28935*y.
3*y*(y - 9645)*(y + 1)
Find u, given that 2*u**3/11 + 432*u**2/11 - 15198*u/11 + 28652/11 = 0.
-247, 2, 29
Solve -95*q**4 + 945*q**3 + 2270*q**2 - 47220*q + 120600 = 0 for q.
-134/19, 5, 6
Determine z so that 8*z**3/7 + 98368*z**2/7 - 98374*z/7 + 24594/7 = 0.
-12297, 1/2
Factor 2*z**3/13 - 7066*z**2/13 + 6328432*z/13 - 153825800/13.
2*(z - 1754)**2*(z - 25)/13
Determine c, given that -c**3 - 70*c**2 + 997*c + 1066 = 0.
-82, -1, 13
Factor 2*v**2/7 - 4952*v/7 - 201280/7.
2*(v - 2516)*(v + 40)/7
Determine n, given that -3*n**2 + 69*n - 390 = 0.
10, 13
Let h**3/5 + 3972*h**2/5 + 1588*h = 0. Calculate h.
-3970, -2, 0
Determine l, given that 2*l**4/5 - 137*l**3/5 - 1617*l**2/5 - 3302*l/5 - 1264/5 = 0.
-8, -2, -1/2, 79
Find t, given that t**2/6 + 92344*t/3 + 4263707168/3 = 0.
-92344
Solve -4*k**4/3 - 24268*k**3 - 147258216*k**2 - 298050483600*k - 892826781984 = 0 for k.
-6066, -3
Let 5547*l**4 + 168818*l**3 + 3961729*l**2/3 + 549640*l + 58800 = 0. Calculate l.
-15, -28/129
Find n, given that 4*n**3 + 2988*n**2 + 17820*n + 26676 = 0.
-741, -3
Let 3*g**4/5 - 507*g**3 - 12789*g**2/5 + 33171*g/5 - 3570 = 0. What is g?
-7, 1, 850
Suppose -75*r**4/7 - 14955*r**3/7 - 5973*r**2/7 - 597*r/7 = 0. What is r?
-199, -1/5, 0
Determine v so that -14*v**5 + 31490*v**4 - 103202*v**3 - 256010*v**2 - 76384*v + 44920 = 0.
-1, 2/7, 5, 2246
Suppose 20*f**3 - 12324*f**2 - 72072*f - 49760 = 0. What is f?
-5, -4/5, 622
Factor -p**2/3 + 560*p/3 + 4268.
-(p - 582)*(p + 22)/3
Find k such that 5*k**5 - 1085*k**4 + 8420*k**3 - 12380*k**2 - 33760*k + 66880 = 0.
-2, 2, 4, 209
Factor 3*b**3 + 107394*b**2 + 961337355*b + 3843631308.
3*(b + 4)*(b + 17897)**2
Factor 2*w**3/9 - 439300*w**2/9 + 24122621944*w/9 + 48247001104/9.
2*(w - 109826)**2*(w + 2)/9
Find h such that -h**4/5 - 13*h**3/5 + 71*h**2/5 + 33*h/5 - 306/5 = 0.
-17, -2, 3
Let -1404*s**3/7 + 9788*s**2/7 - 8144*s/7 - 240/7 = 0. Calculate s.
-10/351, 1, 6
Let -4*a**5 - 1592*a**4 + 16368*a**3 + 19544*a**2 - 16364*a - 17952 = 0. What is a?
-408, -1, 1, 11
Solve -2*v**3/9 - 2608*v**2/3 - 39070*v/9 = 0 for v.
-3907, -5, 0
Suppose -2*v**2 - 46514*v + 511896 = 0. What is v?
-23268, 11
What is p in -20*p**3 - 170832*p**2 - 102484*p + 68328 = 0?
-8541, -1, 2/5
Determine p, given that -p**4/6 - 4143*p**3 - 34328898*p**2 - 94816416276*p = 0.
-8286, 0
Factor -x**2 - 1903013*x - 1903012.
-(x + 1)*(x + 1903012)
Factor c**4 - 999*c**3 + 333660*c**2 - 37586384*c + 109783104.
(c - 332)**3*(c - 3)
Factor 3*t**2/2 + 9678*t + 19350.
3*(t + 2)*(t + 6450)/2
Suppose -5*c**5 + 330*c**4 + 680*c**3 + 10*c**2 - 675*c - 340 = 0. What is c?
-1, 1, 68
Factor 80*z**2/13 + 9332*z/13 + 1398/13.
2*(2*z + 233)*(20*z + 3)/13
Factor 5*a**4 - 540*a**3 + 13815*a**2 - 109280*a + 96000.
5*(a - 75)*(a - 16)**2*(a - 1)
Suppose 8*a**2 - 28082*a/13 + 7014/13 = 0. What is a?
1/4, 3507/13
Suppose -2*v**3/7 + 10*v**2 + 174*v - 4230/7 = 0. Calculate v.
-15, 3, 47
Factor 5*z**2 - 66220*z + 219254420.
5*(z - 6622)**2
Factor -3*m**4 - 588*m**3 + 4896*m**2.
-3*m**2*(m - 8)*(m + 204)
Solve -h**4/3 + 4*h**3 + 42*h**2 + 148*h/3 - 95 = 0 for h.
-5, -3, 1, 19
Suppose 5*w**4/2 + 531*w**3 + 5533*w**2/2 - 5796*w = 0. What is w?
-207, -7, 0, 8/5
Factor 5*t**4 - 575*t**3 + 4380*t**2 - 10780*t + 8560.
5*(t - 107)*(t - 4)*(t - 2)**2
Find n such that -2*n**4 - 34*n**3 + 734*n**2 - 1358*n + 660 = 0.
-30, 1, 11
Suppose -5*a**5 - 4665*a**4 + 14130*a**3 + 84040*a**2 - 187200*a = 0. Calculate a.
-936, -4, 0, 2, 5
Find k such that 8*k**4/21 - 358*k**3/21 - 1226*k**2/21 - 1052*k/21 - 64/7 = 0.
-2, -1, -1/4, 48
Let 10*k**2 + 96*k - 1162 = 0. What is k?
-83/5, 7
Let -j**5 - 804*j**4/5 + 4292*j**3/5 - 3984*j**2/5 = 0. Calculate j.
-166, 0, 6/5, 4
Factor s**5 - 77*s**4 - 169*s**3 + 857*s**2 + 984*s - 2844.
(s - 79)*(s - 2)**2*(s + 3)**2
Suppose -3*v**2/8 + 90999*v/4 + 546021/8 = 0. What is v?
-3, 60669
Solve -11*r**2 - 2773*r + 2784 = 0.
-2784/11, 1
Find o, given that -o**2/2 + 11315*o/2 - 191777 = 0.
34, 11281
Factor -3*i**2 - 2808*i - 35997.
-3*(i + 13)*(i + 923)
Factor w**4/5 - 967*w**3/5 + 17114*w**2/5 - 30368*w/5.
w*(w - 949)*(w - 16)*(w - 2)/5
Factor 616*a**3 + 643116*a**2 + 167862672*a + 3269808.
4*(a + 522)**2*(154*a + 3)
What is f in f**3 + 1626*f**2 - 16336*f + 39264 = 0?
-1636, 4, 6
Factor -3*n**2 + 11427*n - 170730.
-3*(n - 3794)*(n - 15)
Factor -2*s**3 - 1650*s**2 - 22564*s + 116784.
-2*(s - 4)*(s + 18)*(s + 811)
Factor 4*d**3 - 184*d**2 + 1632*d.
4*d*(d - 34)*(d - 12)
Determine b, given that -2675*b**2 + 69540*b + 260 = 0.
-2/535, 26
Determine q so that q**5/7 - 248*q**4/7 + 23956*q**3/7 - 1117520*q**2/7 + 24832000*q/7 - 204800000/7 = 0.
20, 50, 64
What is g in 2*g**2 - 82664*g + 854167112 = 0?
20666
What is f in -2*f**4/13 - 134*f**3/13 - 1974*f**2/13 - 4282*f/13 + 6392/13 = 0?
-47, -17, -4, 1
Determine l so that -2*l**2/3 + 22142*l/3 + 22144/3 = 0.
-1, 11072
Solve -l**3/5 - 13174*l**2/5 + 52708*l/5 - 52712/5 = 0 for l.
-13178, 2
Find t, given that -2*t**5 - 68*t**4/5 + 544*t**3/5 - 916*t**2/5 + 522*t/5 - 72/5 = 0.
-12, 1/5, 1, 3
Factor 3*c**4 + 12585*c**3 - 37773*c**2 + 37779*c - 12594.
3*(c - 1)**3*(c + 4198)
Factor -3*l**4 + 12732*l**3 - 12830364*l**2 - 1439327136*l - 38339550912.
-3*(l - 2174)**2*(l + 52)**2
Determine r, given that -3*r**2/7 + 1372893*r/7 - 2745774/7 = 0.
2, 457629
Determine c so that -5*c**4 + 375*c**3 - 8460*c**2 + 56160*c = 0.
0, 12, 24, 39
Suppose -j**2/7 + 683*j = 0. Calculate j.
0, 4781
Factor 2*z**2/11 + 1140*z/11 + 2272/11.
2*(z + 2)*(z + 568)/11
Determine k, given that 2*k**5/7 - 30*k**4/7 + 92*k**3/7 + 156*k**2/7 - 94*k/7 - 18 = 0.
-1, 1, 7, 9
Let 5*l**5 - 1205*l**4 - 20*l**3 + 4820*l**2 = 0. Calculate l.
-2, 0, 2, 241
Factor 5*s**3 + 810*s**2 + 38325*s + 563500.
5*(s + 35)**2*(s + 92)
Factor -9*j**2 + 88940*j - 19764.
-(j - 9882)*(9*j - 2)
Factor 5*r**3 + 246655*r**2 + 3042057775*r + 3041811125.
5*(r + 1)*(r + 24665)**2
Let -3*u**2 - 31953*u = 0. What is u?
-10651, 0
Factor 4*i**3/5 - 76*i**2 - 3332*i/5 + 173052/5.
4*(i - 99)*(i - 19)*(i + 23)/5
Factor -2*o**2/13 + 284*o/13 + 3696/13.
-2*(o - 154)*(o + 12)/13
Factor v**3/3 - 67*v**2/3 - 3140*v/3 + 3332.
(v - 98)*(v - 3)*(v + 34)/3
Let 2*v**5 + 8922*v**4 + 44476*v**3 - 374152*v**2 + 677232*v - 356480 = 0. Calculate v.
-4456, -10, 1, 2
Factor -4*u**2 - 630720*u - 24862982400.
-4*(u + 78840)**2
Determine k, given that -20*k**5 - 3032*k**4 + 18056*k**3 + 174224*k**2 + 238476*k - 124344 = 0.
-157, -3, 2/5, 11
Determine d, given that -d**3/6 - 40*d**2/3 - 1609*d/6 - 255 = 0.
-45, -34, -1
Determine f, given that -25*f**5 + 1070*f**4 - 6069*f**3 - 1952*f**2 + 4204*f - 1008 = 0.
-1, 2/5, 7, 36
Find d, given that 5*d**2/6 + 35540*d = 0.
-42648, 0
Determine y, given that -5*y**2 - 125*y + 11470 = 0.
-62, 37
Factor -2*q**2/5 + 2596*q - 4212010.
-2*(q - 3245)**2/5
Factor 2*g**2 + 64724*g + 258864.
2*(g + 4)*(g + 32358)
Suppose -3*s**2 - 160932*s - 2158259052 = 0. Calculate s.
-26822
Solve -2*n**2/5 + 77896*n/5 - 758473352/5 = 0.
19474
Factor -c**3 + 555*c**2 - 4367*c - 4923.
-(c - 547)*(c - 9)*(c + 1)
Suppose -3*a**2 + 312*a + 18963 = 0. Calculate a.
-43, 147
Determine m so that -5*m**5 - 52140*m**4 - 181601500*m**3 - 212512986710*m**2 - 4359843900495*m + 27134776960850 = 0.
-3469, -26, 5
Factor -239160735*u**3 - 79480665*u**2 + 79800*u - 20.
-5*(3*u + 1)*(3993*u - 2)**2
Find y such that 6*y**2 - 4225198*y + 2816796 = 0.
2/3, 704199
Factor -2*v**3/3 + 214*v**2 + 656*v/3 - 1288.
-2*(v - 322)*(v - 2)*(v + 3)/3
Factor -2*p**2 + 954*p + 36936.
-2*(p - 513)*(p + 36)
Factor -5*v**2 + 931830*v - 43415357445.
-5*(v - 93183)**2
Let -x**5/2 - 135*x**4/2 - 1417*x**3/2 + 7179*x**2/2 - 4781*x + 1968 = 0. What is x?
-123, -16, 1, 2
Solve -20*a**3 + 4195*a**2 + 9540*a = 0 for a.
-9/4, 0, 212
Suppose 2*k**5/13 + 1314*k**4/13 + 12990*k**3/13 + 32350*k**2/13 - 72*k/13 - 46584/13 = 0. Calculate k.
-647, -6, -3, -2, 1
Suppose -4*v**5 + 16*v**4 + 3896*v**3 + 15216*v**2 + 11340*v = 0. Calculate v.
-27, -3, -1, 0, 35
Factor -2*b**3/5 - 7642*b**2/5 - 1505504*b - 86239360.
-2*(b + 61)*(b + 1880)**2/5
What is r in 2*r**4/9 - 72*r**3 + 4454*r**2/9 - 560*r - 10144/9 = 0?
-1, 4, 317
Find d such that -2*d**5/3 - 848*d**4/3 - 95642*d**3/3 - 1222748*d**2/3 - 4759280*d/3 - 5379200/3 = 0.
-205, -8, -4, -2
Determine y so that 