
-938, -5, 7
Factor -3*p**4 + 3780*p**3 - 1227900*p**2 + 23436000*p - 115320000.
-3*(p - 620)**2*(p - 10)**2
Factor 4*b**2/3 - 2448*b - 7348/3.
4*(b - 1837)*(b + 1)/3
Find u such that -u**5 - 2075*u**4/3 + 8342*u**3/3 - 4186*u**2/3 - 8339*u/3 + 2087 = 0.
-2087/3, -1, 1, 3
Find n such that -2*n**2/3 + 7598*n + 22800 = 0.
-3, 11400
Suppose 3*m**5/4 + 13*m**4 + 51*m**3/2 - 538*m**2 - 10305*m/4 - 2025 = 0. What is m?
-9, -5, -1, 20/3
What is k in -48*k**5/5 + 469436*k**4/5 - 1148680176*k**3/5 + 4493518832*k**2/5 - 4204931328*k/5 - 382280704/5 = 0?
-1/12, 2, 4888
Factor 1156*w**3 + 1403792*w**2 + 495348*w + 43704.
4*(w + 1214)*(17*w + 3)**2
Factor 4*i**3 - 2239728*i**2 + 313523844624*i.
4*i*(i - 279966)**2
Solve -q**4/6 - 19*q**3/6 + 7*q**2/2 + 419*q/6 + 190/3 = 0 for q.
-19, -4, -1, 5
Suppose -3*f**3 + 837*f**2 + 11430*f - 12264 = 0. What is f?
-14, 1, 292
Determine k, given that -2*k**4/17 - 18*k**3/17 + 72*k**2/17 - 8*k/17 - 96/17 = 0.
-12, -1, 2
Determine p, given that -3*p**4 + 3069*p**3 - 15291*p**2 + 21387*p - 9162 = 0.
1, 3, 1018
Find t such that -6*t**5/7 + 5364*t**4/7 - 47940*t**3/7 + 132912*t**2/7 - 20490*t + 53100/7 = 0.
1, 2, 5, 885
Factor l**3/9 - 94228*l**2/9 + 2219728996*l/9.
l*(l - 47114)**2/9
Factor -4*w**3 - 101160*w**2 - 1213488*w - 3640032.
-4*(w + 6)**2*(w + 25278)
Suppose 6*i**4/17 - 4*i**3/17 - 146*i**2/17 - 264*i/17 - 72/17 = 0. What is i?
-3, -2, -1/3, 6
What is w in 4*w**3/3 + 2980*w**2/3 - 4*w/3 - 2980/3 = 0?
-745, -1, 1
Factor -4*v**3 - 396*v**2 - 8552*v + 18720.
-4*(v - 2)*(v + 36)*(v + 65)
Factor -4*b**3 - 3436*b**2 - 80736*b - 480960.
-4*(b + 12)**2*(b + 835)
Determine n so that n**4 + 1120*n**3/3 - 1873*n**2/3 + 250*n = 0.
-375, 0, 2/3, 1
Solve z**4 - 424*z**3 + 48600*z**2 + 629856*z - 263594736 = 0 for z.
-62, 162
Factor -2*g**5/13 - 372*g**4/13.
-2*g**4*(g + 186)/13
Factor -b**4/8 - 263915*b**3/8 - 17412913763*b**2/8 - 17412649849*b/8.
-b*(b + 1)*(b + 131957)**2/8
Factor 2*h**2/9 + 5408*h/9 + 69290/3.
2*(h + 39)*(h + 2665)/9
Suppose -p**2 - 2282*p - 2281 = 0. What is p?
-2281, -1
Factor 610*i**2/3 - 406*i/3 + 8.
2*(5*i - 3)*(61*i - 4)/3
Suppose -65*b**3 - 6870*b**2 - 26700*b - 26440 = 0. Calculate b.
-1322/13, -2
Suppose -4563*m**5 + 66222*m**4/5 + 98337*m**3/5 + 7656*m**2/5 - 1596*m/5 + 48/5 = 0. What is m?
-1, -1/5, 2/39, 4
Solve y**4/4 - 27*y**3/2 + 673*y**2/4 + 378*y + 196 = 0 for y.
-1, 28
Factor 4*z**2 - 20*z - 18744.
4*(z - 71)*(z + 66)
Find c, given that -c**2 + 246*c - 10505 = 0.
55, 191
Factor 4*c**3 - 656*c**2 + 3156*c + 3816.
4*(c - 159)*(c - 6)*(c + 1)
Let 3*j**4 - 21*j**3 - 243*j**2 + 1101*j + 1320 = 0. Calculate j.
-8, -1, 5, 11
Find u, given that -2*u**3/7 - 236510*u**2/7 + 473034*u/7 + 709542/7 = 0.
-118257, -1, 3
Let -2*x**3/11 - 3266*x**2/11 + 13106*x/11 + 16370/11 = 0. What is x?
-1637, -1, 5
Factor 3*t**2/2 - 4311*t - 8628.
3*(t - 2876)*(t + 2)/2
Factor -3*l**5 + 4560*l**4 - 1737351*l**3 + 3456486*l**2.
-3*l**2*(l - 759)**2*(l - 2)
Determine l so that -2*l**5 + 23638*l**4 - 69879824*l**3 + 209426776*l**2 + 94528*l - 279235712 = 0.
-1, 2, 5908
Find o such that -5*o**5 + 405*o**4 + 4610*o**3 - 5410*o**2 - 4605*o + 5005 = 0.
-11, -1, 1, 91
Let 2*u**4/7 - 46*u**3/7 + 288*u**2/7 - 72*u = 0. What is u?
0, 3, 6, 14
Factor -m**2/9 - 580*m/9 - 4576/9.
-(m + 8)*(m + 572)/9
Factor 5*k**3 + 2275*k**2 + 35440*k + 140480.
5*(k + 8)**2*(k + 439)
Find a such that -26*a**4/7 + 44*a**3/7 + 5840*a**2/7 + 31744*a/7 + 9216/7 = 0.
-8, -4/13, 18
Let 9*k**4/2 - 1051*k**3 + 11520*k**2 + 5328*k = 0. Calculate k.
-4/9, 0, 12, 222
Find q such that 3*q**2/7 - 506886*q/7 - 506889/7 = 0.
-1, 168963
Factor 5*j**5 - 44690*j**4 - 536730*j**3 - 2415960*j**2 - 4832595*j - 3624750.
5*(j - 8950)*(j + 3)**4
Factor -50*z**3/7 - 440*z**2/7 + 1736*z + 123008/7.
-2*(z - 16)*(5*z + 62)**2/7
Factor 36057*i**2/4 - 7695*i - 27.
3*(7*i - 6)*(1717*i + 6)/4
Suppose -3*f**4 + 537*f**3 + 7518*f**2 - 220992*f - 3064320 = 0. Calculate f.
-16, 21, 190
Suppose 10*k**4/7 - 394*k**3/7 + 878*k**2/7 + 394*k/7 - 888/7 = 0. Calculate k.
-1, 1, 12/5, 37
Determine a so that 3*a**2 + 84132*a - 252423 = 0.
-28047, 3
Let 63*v**2 - 17097*v + 6504 = 0. Calculate v.
8/21, 271
Let 8*u**5 + 662*u**4 + 4890*u**3 - 21200*u**2 + 19192*u - 3552 = 0. Calculate u.
-74, -12, 1/4, 1, 2
Factor -83*b**2/4 + 255*b - 72.
-(b - 12)*(83*b - 24)/4
Find i such that 3*i**3 + 118464*i**2 = 0.
-39488, 0
Let 2*r**2 + 35856*r - 35858 = 0. What is r?
-17929, 1
Suppose -11*u**3/4 - 50*u**2 + 1487*u + 272 = 0. Calculate u.
-34, -2/11, 16
Solve -2*v**5/5 + 78*v**4/5 - 804*v**3/5 - 724*v**2/5 + 26598*v/5 + 57798/5 = 0 for v.
-3, 13, 19
Factor -p**2/4 - 17569*p/4.
-p*(p + 17569)/4
Suppose -9*z**2 + 2756*z - 612 = 0. What is z?
2/9, 306
Factor b**3/5 - 39*b**2/5 - 11325*b - 903125.
(b - 289)*(b + 125)**2/5
Determine r, given that -52*r**3/3 + 2816*r**2/9 - 1420*r + 72 = 0.
2/39, 9
Factor 3*a**3 + 9150*a**2 - 27489*a - 36636.
3*(a - 4)*(a + 1)*(a + 3053)
Factor -3*l**2 + 2163*l.
-3*l*(l - 721)
Solve 4*n**4 - 40*n**3 + 20*n**2 + 160*n - 144 = 0 for n.
-2, 1, 2, 9
Let -3*y**3/7 + 4962*y**2/7 + 64923*y/7 + 150030/7 = 0. Calculate y.
-10, -3, 1667
Factor 2*p**4 - 78*p**3 + 756*p**2.
2*p**2*(p - 21)*(p - 18)
Factor -5*x**2/4 + 565760*x - 64016875520.
-5*(x - 226304)**2/4
What is y in 5*y**5 - 4165*y**4 + 805135*y**3 + 25801105*y**2 + 242101320*y + 668739600 = 0?
-12, -5, 431
Suppose 6*g**4/11 - 9402*g**3/11 + 9396*g**2/11 = 0. What is g?
0, 1, 1566
Find m, given that 5*m**5/3 - 16*m**4 + 142*m**3/3 - 188*m**2/3 + 39*m - 28/3 = 0.
1, 28/5
Solve -2*z**5 - 2382*z**4 - 943260*z**3 - 123238312*z**2 + 378268752*z = 0 for z.
-398, 0, 3
Suppose 25*n**5 + 285*n**4 + 320*n**3 - 300*n**2 = 0. Calculate n.
-10, -2, 0, 3/5
Find w, given that -2*w**3/7 + 162*w**2/7 + 1898*w/7 - 1014 = 0.
-13, 3, 91
Factor n**4 + 41*n**3 - 3*n**2 - 125*n - 82.
(n - 2)*(n + 1)**2*(n + 41)
Factor -2*q**3/5 - 1096*q**2/5 - 192282*q/5 - 2110284.
-2*(q + 110)*(q + 219)**2/5
Factor 5*n**2 + 89535*n.
5*n*(n + 17907)
Find z, given that 4*z**2 + 8436*z + 8432 = 0.
-2108, -1
Factor -1315*s**2 - 805*s + 2120.
-5*(s - 1)*(263*s + 424)
Find w, given that w**5 - 3*w**4 - 3*w**3 + 7*w**2 + 6*w = 0.
-1, 0, 2, 3
Solve -40*i**4 + 1780*i**3 + 8830*i**2 - 445*i - 2205 = 0 for i.
-9/2, -1/2, 1/2, 49
Let -f**2/2 + 55989*f - 111976 = 0. What is f?
2, 111976
Factor -3*h**3 + 960*h**2 - 93564*h + 2513808.
-3*(h - 138)**2*(h - 44)
Find r such that -15*r**4 - 1670*r**3 + 67165*r**2 - 108380*r + 42900 = 0.
-143, 2/3, 1, 30
Factor 4*r**2/7 - 5108*r/7 + 30504/7.
4*(r - 1271)*(r - 6)/7
Let -3*i**2/8 - 7173*i/8 - 32157/4 = 0. Calculate i.
-2382, -9
Suppose 5*i**4 + 750*i**3 + 19875*i**2 + 17650*i - 38280 = 0. Calculate i.
-116, -33, -2, 1
Solve b**5/9 + 68*b**4/9 - b**3/3 - 206*b**2/9 - 136*b/9 = 0.
-68, -1, 0, 2
Factor a**2/4 + 6133*a/2 + 12265/4.
(a + 1)*(a + 12265)/4
Factor -d**2/2 - 299*d + 80343/2.
-(d - 113)*(d + 711)/2
Determine x, given that -3*x**3 + 2199*x**2 - 245913*x - 248115 = 0.
-1, 139, 595
Factor -2*t**2/9 - 54628*t/3 - 373027298.
-2*(t + 40971)**2/9
Determine c so that 2*c**5/7 + 152*c**4/7 + 278*c**3 + 7244*c**2/7 + 10328*c/7 + 4880/7 = 0.
-61, -10, -2, -1
Find j such that -33*j**3 + 7173*j**2 - 61554*j - 68760 = 0.
-1, 10, 2292/11
Let 4*s**2 + 14944*s + 356352 = 0. What is s?
-3712, -24
Suppose 2*m**2/7 + 17716*m/7 + 39232082/7 = 0. Calculate m.
-4429
Factor -i**3/3 - 10057*i**2/3 + 140945*i/3 - 164493.
-(i - 7)**2*(i + 10071)/3
Suppose 5*n**4 + 259025*n**3 - 1036155*n**2 + 1295215*n - 518090 = 0. What is n?
-51809, 1, 2
Solve -2*s**2/9 - 52*s/3 + 2576/9 = 0.
-92, 14
Suppose -21*o**3/4 - 149*o**2/4 - 107*o/2 = 0. What is o?
-107/21, -2, 0
What is d in -2*d**5/5 + 3112*d**4/5 + 9352*d**3/5 + 3124*d**2/5 - 1870*d - 6236/5 = 0?
-2, -1, 1, 1559
Solve -2*c**3/3 + 80*c**2 + 6034*c + 200900/3 = 0 for c.
-41, -14, 175
Let 2*t**2/7 + 1096756*t/7 - 1096758/7 = 0. Calculate t.
-548379, 1
Factor -3*r**4 + 798*r**3 - 47040*r**2 - 823200*r.
-3*r*(r - 140)**2*(r + 14)
Factor -4*a**2/7 + 1190856*a - 620435380572.
-4*(a - 1041999)**2/7
Find s, given that 36*s**5 - 244*s**4 - 648*s**3 + 3184*s**2 + 9312*s + 5760 = 0.
-20/9, -2, -1, 6
Factor -5*n**4 - 2175*n**3 - 315375*n**2 - 15243125*n.
-5*n*(n + 145)**3
Determine j, given that 2*j**4 + 5800*j**3 + 173