*v**2 - 636058*v + 9829108.
-2*(v - 5114)*(v - 31)**2
Let -2*a**4/7 + 8*a**3 - 354*a**2/7 + 100*a - 400/7 = 0. What is a?
1, 2, 5, 20
Suppose 12*u**4 + 24561*u**3 - 6153*u**2 - 24561*u + 6141 = 0. What is u?
-2047, -1, 1/4, 1
Find j, given that -4*j**5/7 + 216*j**4 - 168324*j**3/7 + 4569760*j**2/7 = 0.
0, 40, 169
Solve 25*q**5/2 + 7190*q**4 - 69441*q**3/2 + 46072*q**2 - 22034*q + 3480 = 0.
-580, 2/5, 1, 3
Factor -4*c**3 - 1064*c**2 + 16860*c.
-4*c*(c - 15)*(c + 281)
Suppose -4*o**3 + 3116564*o**2 - 607059139596*o - 607062256164 = 0. What is o?
-1, 389571
Solve -5*r**4 + 11700*r**3 + 271865*r**2 - 283560*r = 0.
-24, 0, 1, 2363
Factor -2*j**2 - 93762*j + 187532.
-2*(j - 2)*(j + 46883)
Factor -2*c**2/11 + 8940*c/11 - 89200/11.
-2*(c - 4460)*(c - 10)/11
Find s such that -4*s**3 + 2064*s**2 - 248976*s - 4528384 = 0.
-16, 266
Factor -4*d**5 - 276*d**4 - 968*d**3 + 4600*d**2 - 5172*d + 1820.
-4*(d - 1)**3*(d + 7)*(d + 65)
Factor -r**2/2 + 585*r/2 + 145413.
-(r - 906)*(r + 321)/2
Suppose 4*f**5 + 772*f**4 + 47712*f**3 + 1254400*f**2 + 13522432*f + 36879360 = 0. Calculate f.
-105, -28, -4
Factor -5*x**2 - 3571590*x - 637812756405.
-5*(x + 357159)**2
Factor -3745*i**3 + 396965*i**2 - 10519175*i - 14045.
-5*(i - 53)**2*(749*i + 1)
Let -4*r**2 + 54968*r = 0. What is r?
0, 13742
Suppose 5*i**2 - 525*i + 12070 = 0. What is i?
34, 71
Factor 4*q**2 - 2568*q - 112012.
4*(q - 683)*(q + 41)
Let 208138329*d**3 + 624386133*d**2 - 86561*d + 3 = 0. Calculate d.
-3, 1/14427
Let 4*r**4 - 4*r**3 - 4000*r**2 + 39088*r + 94080 = 0. Calculate r.
-35, -2, 14, 24
Find b such that -4*b**2 + 6452*b - 51360 = 0.
8, 1605
What is a in -5*a**2 + 253290*a - 3207791205 = 0?
25329
Determine b so that 4*b**2 + 7216*b + 21612 = 0.
-1801, -3
What is k in 2*k**2/7 + 54436*k/7 = 0?
-27218, 0
Factor a**2/4 - 579*a/4 + 1142.
(a - 571)*(a - 8)/4
Factor -3*d**5/7 + 12237*d**4/7 - 48918*d**3/7 + 73362*d**2/7 - 48903*d/7 + 12225/7.
-3*(d - 4075)*(d - 1)**4/7
Suppose -2*o**4/9 - 86*o**3/9 - 298*o**2/3 - 114*o + 1512 = 0. Calculate o.
-28, -9, 3
Let -s**4/3 - 62*s**3 - 4393*s**2/3 + 1652*s + 9164/3 = 0. Calculate s.
-158, -29, -1, 2
Determine h so that 5*h**4 + 18605*h**3 + 17353740*h**2 + 86378420*h + 69043280 = 0.
-1858, -4, -1
Let -g**3 - 105*g**2 - 2024*g - 1920 = 0. Calculate g.
-80, -24, -1
Factor -5*k**2 + 2060*k + 231840.
-5*(k - 504)*(k + 92)
Factor 3*p**4 - 161958*p**3 + 2185866147*p**2.
3*p**2*(p - 26993)**2
Factor 5*n**2 + 882020*n + 38897964020.
5*(n + 88202)**2
Factor -2*l**2/11 + 213820*l/11 - 5714874050/11.
-2*(l - 53455)**2/11
Suppose 76*u**2 + 1742*u + 3180 = 0. What is u?
-795/38, -2
Let -k**4 + 6*k**3 + 7*k**2 - 60*k = 0. Calculate k.
-3, 0, 4, 5
Determine u, given that 2*u**4 - 56*u**3 - 266*u**2 + 2312*u + 5208 = 0.
-7, -2, 6, 31
Factor 25*y**2/3 + 73148*y/3 - 5852/3.
(y + 2926)*(25*y - 2)/3
Let -2*i**2/5 - 14832*i + 74162/5 = 0. What is i?
-37081, 1
Factor 9*z**2 - 110829*z - 73890.
3*(z - 12315)*(3*z + 2)
Find m, given that 4*m**5 + 15196*m**4 - 30420*m**3 - 45596*m**2 + 60832*m + 60816 = 0.
-3801, -1, 2
Suppose 2*w**2/9 + 2854*w + 205360/9 = 0. What is w?
-12835, -8
Let -5*t**3 + 3450*t**2 - 3345*t - 68900 = 0. Calculate t.
-4, 5, 689
What is m in -3*m**3 - 1197*m**2 - 3570*m - 2376 = 0?
-396, -2, -1
Let -5*n**4 - 12270*n**3 + 49160*n**2 = 0. Calculate n.
-2458, 0, 4
Factor -2*y**2/17 - 3646632*y/17 - 1662240617928/17.
-2*(y + 911658)**2/17
Suppose 2*q**3/9 + 44*q**2/3 + 90*q - 944/9 = 0. Calculate q.
-59, -8, 1
Factor -2*w**2 - 1464*w - 7270.
-2*(w + 5)*(w + 727)
Determine x so that x**4/7 - 34*x**3 - 26588*x**2/7 - 96792*x - 328608 = 0.
-42, -4, 326
Let 4*b**2/7 + 244*b/7 - 5304/7 = 0. Calculate b.
-78, 17
Solve -2*u**3/13 + 516*u**2/13 + 18048*u/13 + 148480/13 = 0 for u.
-16, 290
Find y, given that 2*y**4/3 + 60320*y**3/3 + 120622*y**2 + 180924*y = 0.
-30154, -3, 0
Solve 3*c**4 + 1454772*c**3 + 176360554764*c**2 - 705459676416*c + 705465495552 = 0 for c.
-242464, 2
Factor 2*r**2/11 + 209932*r + 60598236358.
2*(r + 577313)**2/11
Let -2*a**5 - 1634*a**4 - 1626*a**3 + 4906*a**2 + 8164*a + 3264 = 0. What is a?
-816, -1, 2
Suppose -n**4/4 - 11*n**3 + 357*n**2/4 - 9*n - 459 = 0. What is n?
-51, -2, 3, 6
Factor 5*t**3 - 270*t**2 - 3800*t - 10560.
5*(t - 66)*(t + 4)*(t + 8)
What is j in -j**3/10 + 1088*j**2/5 - 19511*j/10 + 8668/5 = 0?
1, 8, 2167
Let 4*h**2 - 840788*h + 1681560 = 0. Calculate h.
2, 210195
Suppose c**5/3 + 155*c**4/3 + 6367*c**3/3 + 8959*c**2 - 17400*c - 90000 = 0. What is c?
-75, -4, 3
Factor h**5/2 - 1415*h**4/2 + 232044*h**3 + 13127688*h**2.
h**2*(h - 732)**2*(h + 49)/2
Suppose -4*u**2 - 63112*u = 0. Calculate u.
-15778, 0
Factor 2*m**3 + 4968*m**2 + 3167850*m + 102042500.
2*(m + 34)*(m + 1225)**2
What is g in -g**5 + 26*g**4 - 120*g**3 - 290*g**2 + 841*g - 456 = 0?
-3, 1, 8, 19
Factor f**2/3 - 827974*f/3 - 827975/3.
(f - 827975)*(f + 1)/3
Determine x, given that 12407*x**2/5 + 7443*x - 18/5 = 0.
-3, 6/12407
Suppose 3*w**5/7 + 6*w**4/7 - 129*w**3/7 - 60*w**2 = 0. Calculate w.
-5, -4, 0, 7
Factor -3*s**3 + 27*s**2 + 360*s - 2100.
-3*(s - 14)*(s - 5)*(s + 10)
Solve -95*z**5/2 - 865*z**4/2 + 575*z**3/2 + 5485*z**2/2 - 2280*z - 270 = 0.
-9, -3, -2/19, 1, 2
Suppose -5*q**3 + 3550*q**2 + 3555*q = 0. Calculate q.
-1, 0, 711
Factor 4*i**2 + 195384*i + 2385931716.
4*(i + 24423)**2
Factor -t**5/4 - 2457*t**4/4 + 4919*t**3/2 - 7381*t**2/2 + 9843*t/4 - 2461/4.
-(t - 1)**4*(t + 2461)/4
Determine c so that 4*c**4 + 976*c**3 - 33132*c**2 - 69176*c - 35072 = 0.
-274, -1, 32
Find b, given that 4*b**4 - 60*b**3 - 288*b**2 - 304*b = 0.
-2, 0, 19
Factor -3*b**4 - 1719*b**3 - 297000*b**2 - 16152048*b.
-3*b*(b + 132)**2*(b + 309)
Suppose 3*u**2 + 44379*u + 221820 = 0. What is u?
-14788, -5
Factor -4*b**3 + 2940*b**2 - 357392*b + 703056.
-4*(b - 582)*(b - 151)*(b - 2)
Solve 2*b**2/7 + 804*b/7 - 12510/7 = 0 for b.
-417, 15
Suppose t**4/3 - 125*t**3/3 - 1048*t**2/3 - 2128*t/3 = 0. What is t?
-4, 0, 133
Solve -11*y**5/8 + 8*y**4 + 5853*y**3/8 - 8379*y**2/4 - 201285*y/2 - 18225 = 0.
-15, -2/11, 18
Determine j, given that -5*j**3 - 35850*j**2 - 71665*j + 107520 = 0.
-7168, -3, 1
Solve -44*z**2 + 152120*z + 152164 = 0.
-1, 38041/11
Factor w**4/4 - 487*w**3/2 - 975*w**2/4.
w**2*(w - 975)*(w + 1)/4
Find c, given that -4*c**4 + 124*c**3 + 408*c**2 + 16*c - 544 = 0.
-2, 1, 34
Factor x**3/5 - 327*x**2/5 + 27531*x/5 - 25921.
(x - 161)**2*(x - 5)/5
Find w such that -2*w**3/3 - 8054*w**2/3 + 24176*w/3 - 16120/3 = 0.
-4030, 1, 2
Determine f so that -3*f**5 + 1572*f**4 - 9276*f**3 - 24864*f**2 = 0.
-2, 0, 8, 518
Factor 3*m**4/7 - 46584*m**3/7 + 180745896*m**2/7 + 723542688*m/7 + 723729072/7.
3*(m - 7766)**2*(m + 2)**2/7
Determine h, given that h**3 - 270840*h**2 + 18338576400*h = 0.
0, 135420
Find p, given that -2*p**4 + 274*p**3 + 2056*p**2 - 5568*p - 27648 = 0.
-8, -3, 4, 144
Factor -d**3/3 - 1987*d**2/3 + 5968*d/3 - 3980/3.
-(d - 2)*(d - 1)*(d + 1990)/3
Suppose -r**4/11 - 425*r**3/11 + 854*r**2/11 = 0. What is r?
-427, 0, 2
Let f**5 - 623*f**4/5 - 4138*f**3 - 158116*f**2/5 - 59976*f/5 = 0. Calculate f.
-14, -2/5, 0, 153
Factor 3*l**3/2 + 32514*l**2 + 176193366*l.
3*l*(l + 10838)**2/2
Determine o, given that -o**2/10 - 15*o/2 + 123548/5 = 0.
-536, 461
Find r such that -r**5/3 - 11*r**4/3 - 3*r**3 + 179*r**2/3 + 346*r/3 + 56 = 0.
-7, -6, -1, 4
Find y such that y**3/2 + 4187*y**2/2 + 107848*y + 1397630 = 0.
-4135, -26
Factor -4*a**3 - 1900*a**2 - 300672*a - 15851376.
-4*(a + 151)*(a + 162)**2
What is y in y**3/2 - 3*y**2 - 90*y + 700 = 0?
-14, 10
Let -t**4/4 + 7*t**3 - 101*t**2/4 - 161*t/2 = 0. What is t?
-2, 0, 7, 23
Factor -l**4/2 + 31*l**3/2 - 159*l**2/2 + 229*l/2 - 50.
-(l - 25)*(l - 4)*(l - 1)**2/2
Factor -2*w**3 - 72066*w**2 - 649152510*w + 649224578.
-2*(w - 1)*(w + 18017)**2
Factor -12*w**3 - 124*w**2 + 16*w + 560.
-4*(w - 2)*(w + 10)*(3*w + 7)
Factor 4*h**2 - 193544*h + 2341204996.
4*(h - 24193)**2
Solve -12*m**4 - 122115*m**3 + 91596*m**2 + 30531*m = 0.
-10177, -1/4, 0, 1
Factor -2*c**4/3 + 2432*c**3/3 - 328048*c**2 + 131868800*c/3 + 267693664/3.
-2*(c - 406)**3*(c + 2)/3
Factor -6*a**2/5 - 2226*a/5 + 90576/5.
-6*(a - 37)*(a + 408)/5
Suppose -3*h**4 - 78*h**3/7 + 12015*h**2/7 + 110688*h/7 - 32604/7 = 0. Calculate h.
-19, -11, 2/7, 26
Let -3*k**3 - 495*k**2 - 19125*k + 108375 = 0. 