**2 + 2020*k + 106800 = 0.
-445, -10, 12
Let 2*p**2 + 228*p + 2970 = 0. What is p?
-99, -15
Let -3*a**4/7 - 14925*a**3/7 + 413181*a**2 - 26244729*a + 553389732 = 0. What is a?
-5164, 63
Suppose -g**2 + 2528*g + 2529 = 0. What is g?
-1, 2529
Determine v so that 3*v**5 - 576*v**4 - 1185*v**3 + 4086*v**2 - 2328*v = 0.
-4, 0, 1, 194
Factor -9*v**2/2 + 15006*v - 39984.
-3*(v - 3332)*(3*v - 8)/2
Factor -5*h**3 + 1355*h**2 - 82555*h + 750805.
-5*(h - 187)*(h - 73)*(h - 11)
Factor -5*o**2/3 - 703010*o/3 - 24711153005/3.
-5*(o + 70301)**2/3
Factor h**2/6 - 37385*h/6.
h*(h - 37385)/6
Factor 4*y**4 + 322676*y**3 - 968052*y**2 + 968060*y - 322688.
4*(y - 1)**3*(y + 80672)
Let -c**3/5 + 11304*c**2/5 + 2261*c = 0. What is c?
-1, 0, 11305
Suppose f**3/3 + 135*f**2 + 806*f/3 = 0. What is f?
-403, -2, 0
Factor -2*h**2 + 14700*h - 14698.
-2*(h - 7349)*(h - 1)
Factor 4*b**4/3 - 160567*b**3/6 - 20071*b**2/6.
b**2*(b - 20071)*(8*b + 1)/6
Suppose -15*t**2/4 + 40731*t/4 - 8145/2 = 0. Calculate t.
2/5, 2715
Factor -2*k**2 - 88*k + 2074.
-2*(k - 17)*(k + 61)
Factor -4*g**2 - 44864*g - 44860.
-4*(g + 1)*(g + 11215)
Solve 3*f**2 - 54615*f - 327798 = 0.
-6, 18211
Factor 2*t**3/9 - 7282*t**2 + 178978816*t/3 - 536870912/9.
2*(t - 16384)**2*(t - 1)/9
Solve 5*s**5 - 365*s**4 - 4045*s**3 - 8915*s**2 + 16100*s + 41500 = 0.
-5, -2, 2, 83
Suppose -t**2/10 + 9253*t - 428090045/2 = 0. What is t?
46265
What is x in -2*x**2 + 296466*x - 296464 = 0?
1, 148232
Find v, given that 4*v**3 + 39508*v**2 + 97377100*v - 879596964 = 0.
-4943, 9
Solve t**2/3 + 3431*t/3 + 3428 = 0 for t.
-3428, -3
Solve k**3 + 106*k**2 - 119*k - 1284 = 0 for k.
-107, -3, 4
Determine g, given that -2*g**5/9 + 23*g**4/3 + 263*g**3/9 + 38*g**2/3 = 0.
-3, -1/2, 0, 38
Factor -h**5/5 + 63*h**4 - 2781*h**3/5 + 8289*h**2/5 - 8262*h/5.
-h*(h - 306)*(h - 3)**3/5
Let 2*h**3/7 + 34598*h**2/7 + 829488*h/7 + 4975200/7 = 0. Calculate h.
-17275, -12
Let -3*q**2 + 860446*q - 286815 = 0. Calculate q.
1/3, 286815
Suppose -3*y**4/4 - 10017*y**3/4 - 11415285*y**2/4 - 4721849475*y/4 - 80469214875 = 0. Calculate y.
-1085, -84
Determine t so that -3*t**4/7 + 54*t**3/7 + 120*t**2/7 = 0.
-2, 0, 20
Find j, given that j**2/2 + 1827*j/2 - 2745 = 0.
-1830, 3
Determine l so that -2*l**3 + 342*l**2 + 348*l - 688 = 0.
-2, 1, 172
Factor g**2/3 + 92432*g/3 + 2135918656/3.
(g + 46216)**2/3
Find j such that -j**5/6 + 43*j**4/2 - 821*j**3/2 - 21629*j**2/6 - 8792*j - 6798 = 0.
-3, -2, 33, 103
Let -4*l**4/5 + 52*l**3/5 + 11644*l**2/5 - 47092*l/5 + 7080 = 0. Calculate l.
-50, 1, 3, 59
Solve -4*i**4 - 3133*i**3 - 28559*i**2 + 61168*i + 17028 = 0 for i.
-774, -11, -1/4, 2
Find v such that -2*v**5/3 - 148*v**4/3 - 356*v**3 - 712*v**2/3 + 5230*v/3 - 1100 = 0.
-66, -5, 1
Determine g, given that -g**4/5 + 2*g**3/5 + 13*g**2/5 - 38*g/5 + 24/5 = 0.
-4, 1, 2, 3
Suppose 705*i**5 - 845*i**4 + 15*i**3 + 125*i**2 = 0. Calculate i.
-1/3, 0, 25/47, 1
Determine v so that -5*v**5 - 50*v**4 + 115*v**3 - 60*v**2 = 0.
-12, 0, 1
Factor -z**3 + 76*z**2 - 1175*z + 1100.
-(z - 55)*(z - 20)*(z - 1)
Find b, given that 2*b**5/3 - 576*b**4 - 6940*b**3/3 - 1160*b**2 + 6938*b/3 + 1736 = 0.
-3, -1, 1, 868
Determine l, given that -16*l**2 - 5816*l - 528529 = 0.
-727/4
What is w in -w**5 + 62*w**4 - 288*w**3 + 162*w**2 + 513*w = 0?
-1, 0, 3, 57
Solve a**3 + 1456*a**2 - 93155*a + 1458798 = 0.
-1518, 31
Find f, given that 34*f**5/3 - 4586*f**4/15 + 4214*f**3/5 - 2422*f**2/3 + 3788*f/15 + 32/5 = 0.
-2/85, 1, 24
Suppose -2*u**2/11 - 4240*u/11 + 16992/11 = 0. What is u?
-2124, 4
Factor -5*c**3 + 12330*c**2 + 12335*c.
-5*c*(c - 2467)*(c + 1)
Factor 2*a**2/3 + 8042*a/3 + 34736.
2*(a + 13)*(a + 4008)/3
Factor -3*t**2 + 1073136*t.
-3*t*(t - 357712)
Find q such that 3*q**3 + 2304*q**2 - 495075*q = 0.
-943, 0, 175
Let 3*c**3 - 787701*c**2 - 3150813*c/4 - 196926 = 0. Calculate c.
-1/2, 262568
Determine n, given that -n**3/5 - 2244*n**2/5 - 22356*n/5 - 35744/5 = 0.
-2234, -8, -2
Factor w**2/4 - 81857*w/2 + 818545/4.
(w - 163709)*(w - 5)/4
Find y, given that -5*y**4 + 4720*y**3 - 1238880*y**2 - 10138880*y + 27973169920 = 0.
-124, 356
Solve 361*u**5/2 - 34257*u**4/4 + 111787*u**3/4 - 24911*u**2 - 3276*u + 8624 = 0 for u.
-1/2, 1, 28/19, 44
Factor 2*u**3/7 - 127870*u**2/7 + 2043778176*u/7 + 2043906048/7.
2*(u - 31968)**2*(u + 1)/7
Determine w so that -2*w**4/11 + 133996*w**3/11 - 2992443336*w**2/11 + 2024977329340*w + 22277743200074/11 = 0.
-1, 22333
What is p in 18*p**3/5 + 28659*p**2/5 - 52608*p/5 - 9564/5 = 0?
-1594, -1/6, 2
Find g such that g**2/4 + 21933*g/2 + 43862 = 0.
-43862, -4
Suppose -3*l**4/4 + 225*l**3/4 - 5589*l**2/4 + 45927*l/4 = 0. What is l?
0, 21, 27
Suppose -2*b**2/5 + 5212*b/5 + 440832/5 = 0. Calculate b.
-82, 2688
Factor h**3 - 16176*h**2 + 161685*h - 404150.
(h - 16166)*(h - 5)**2
Let -v**3/2 - 10742*v**2 - 115497909*v/2 - 576415845 = 0. Calculate v.
-10737, -10
Determine m so that 3*m**5 - 201*m**4 - 4506*m**3 - 7356*m**2 + 17976*m + 32640 = 0.
-16, -2, 2, 85
Factor -o**4 - 228*o**3 - 2189*o**2 - 1962*o.
-o*(o + 1)*(o + 9)*(o + 218)
Factor -2*r**3 - 410080*r**2 + 820166*r - 410084.
-2*(r - 1)**2*(r + 205042)
Let -5*o**3 + 11295*o**2 + 90600*o + 181360 = 0. What is o?
-4, 2267
Determine a, given that -14*a**2/11 - 3698*a/11 - 48 = 0.
-264, -1/7
Factor 5*y**4 - 575*y**3 + 17905*y**2 - 78925*y + 90750.
5*(y - 55)**2*(y - 3)*(y - 2)
Solve -2*y**2 + 25234*y = 0.
0, 12617
Factor -3*r**2 + 451254*r - 16969181043.
-3*(r - 75209)**2
Factor 4*f**3/5 - 288*f**2 + 7076*f/5 + 1704.
4*(f - 355)*(f - 6)*(f + 1)/5
Let -5*f**5 - 165*f**4 + 19440*f**3 - 138240*f**2 - 9538560*f + 134369280 = 0. Calculate f.
-81, -24, 24
Suppose -2*t**2/9 + 966716*t/9 - 116817478082/9 = 0. What is t?
241679
Factor 2*d**2/9 + 10088*d/9 - 840664/9.
2*(d - 82)*(d + 5126)/9
Find x, given that 20*x**4/3 + 298*x**3/3 + 58*x**2/3 - 2560*x/3 + 728 = 0.
-14, -39/10, 1, 2
Factor 3*z**3/5 + 786*z**2/5 + 2319*z/5 - 3108/5.
3*(z - 1)*(z + 4)*(z + 259)/5
Determine a so that -4*a**2/7 - 1952*a/7 + 189572/7 = 0.
-571, 83
Solve -5*r**4/4 - 255*r**3/2 + 1045*r**2/4 + 255*r/2 - 260 = 0 for r.
-104, -1, 1, 2
Factor -2*i**3/21 - 58*i**2/21 + 96*i/7 + 264/7.
-2*(i - 6)*(i + 2)*(i + 33)/21
Factor -4*q**3 + 292*q**2 - 4664*q - 10528.
-4*(q - 47)*(q - 28)*(q + 2)
Determine m, given that 4*m**4/3 - 696*m**3 + 10336*m**2/3 + 696*m - 10340/3 = 0.
-1, 1, 5, 517
Suppose 2*j**4/5 - 976*j**3/5 - 198*j**2 + 5868*j/5 = 0. Calculate j.
-3, 0, 2, 489
Suppose -5*q**3 + 1930*q**2 + 23700*q + 71640 = 0. Calculate q.
-6, 398
What is t in -155*t**3/2 + 13955*t**2/4 - 150885*t/4 + 1215/2 = 0?
1/62, 18, 27
Solve 3*f**3 - 450*f**2 - 3*f + 450 = 0.
-1, 1, 150
Factor -d**2 - 717*d - 2852.
-(d + 4)*(d + 713)
Let 41*b**4/2 + 125*b**3 - 2477*b**2/2 - 1475*b - 132 = 0. What is b?
-11, -1, -4/41, 6
Determine s, given that -5*s**2 - 13715*s - 68450 = 0.
-2738, -5
Suppose -t**4 - 273*t**3 - 14890*t**2 - 222972*t + 238136 = 0. What is t?
-206, -34, 1
Let 2752*y**3/7 - 13802*y**2/7 + 206*y/7 + 20/7 = 0. Calculate y.
-1/32, 2/43, 5
Solve -o**2/5 + 297024*o/5 + 59405 = 0 for o.
-1, 297025
Factor -2*n**3 - 1000*n**2 - 1992*n.
-2*n*(n + 2)*(n + 498)
Let 50*z**5/21 - 20954*z**4/21 - 20508*z**3/7 - 37144*z**2/21 + 3376*z/21 = 0. Calculate z.
-2, -1, 0, 2/25, 422
Solve 2*m**5/9 + 134*m**4/9 - 1010*m**3/9 + 1930*m**2/9 + 136*m/3 - 296 = 0 for m.
-74, -1, 2, 3
Factor 5*j**3/4 + 35855*j**2/2 + 143405*j/4 + 17925.
5*(j + 1)**2*(j + 14340)/4
Solve -a**2 - 36293*a + 36294 = 0 for a.
-36294, 1
Find y such that y**3 - 161*y**2 - 660*y = 0.
-4, 0, 165
Suppose -15*b**4 + 2199*b**3 + 93192*b**2 + 626604*b + 235872 = 0. What is b?
-27, -8, -2/5, 182
Find p such that p**2/9 + 3211*p/9 + 72266/3 = 0.
-3142, -69
Solve -2*r**5/11 + 146*r**4/11 - 2316*r**3/11 + 15056*r**2/11 - 44096*r/11 + 48384/11 = 0 for r.
4, 7, 54
Factor j**4/3 - 4942*j**3 + 18213447*j**2 + 771515388*j + 8123860332.
(j - 7434)**2*(j + 21)**2/3
Let 12*s**2 - 11523*s - 8649 = 0. What is s?
-3/4, 961
Let s**4 + 14961*s**3 + 44877*s**2 + 44875*s + 14958 = 0. Calculate s.
-14958, -1
Determine w, given that 5*w**4 + 64950*w**3 + 129880*w**2 = 0.
-12988, -2, 0
Determine c, given that c**3 + 755*c**2 - 4557*c + 6849 = 0.
-761, 3
Factor s**2 - 28*s + 27.
(s - 27)*(s - 1)
Factor 3*z**2/5 + 1644*z/5 + 3276/5.
3*(z + 2)*(z + 5