, given that -3*d**3 - 43*d**2 - 142*d - 120 = 0.
-10, -3, -4/3
Suppose 4*x**5/3 + 8*x**4 - 8*x**3/3 - 16*x**2 + 4*x/3 + 8 = 0. What is x?
-6, -1, 1
Factor -3*b**3 - 78*b**2 - 465*b + 546.
-3*(b - 1)*(b + 13)*(b + 14)
Factor 2*f**2 + 22*f - 24.
2*(f - 1)*(f + 12)
Let -5*o**3 - 30*o**2 - 15*o + 50 = 0. Calculate o.
-5, -2, 1
Let -g**3/5 - g**2 - 4*g/5 = 0. Calculate g.
-4, -1, 0
Find y, given that 6*y**3 - 44*y**2 + 86*y - 24 = 0.
1/3, 3, 4
Suppose -15*a**4 - 85*a**3 + 670*a**2 + 2100*a + 1080 = 0. What is a?
-9, -2, -2/3, 6
Factor -z**2/2 - 10*z + 69/2.
-(z - 3)*(z + 23)/2
What is m in -121*m**3/2 + 1661*m**2/2 + 2261*m/2 + 735/2 = 0?
-7/11, 15
Find x such that -31*x**5/7 + 1208*x**4/7 + 1279*x**3/7 + 40*x**2/7 = 0.
-1, -1/31, 0, 40
Factor -q**3 + 215*q**2 - 423*q - 639.
-(q - 213)*(q - 3)*(q + 1)
Let -z**2/2 + 12*z - 40 = 0. Calculate z.
4, 20
Determine g so that -3*g**4/7 - 309*g**3/7 + 639*g**2/7 + 135*g = 0.
-105, -1, 0, 3
Factor 5*p**3 - 95*p**2 - 320*p - 220.
5*(p - 22)*(p + 1)*(p + 2)
Factor -3*d**3/4 + 12285*d**2/4 - 3142656*d - 3145728.
-3*(d - 2048)**2*(d + 1)/4
Suppose -5*u**3/3 - 10*u**2/3 + 5*u = 0. Calculate u.
-3, 0, 1
Factor -t**3/7 - 9*t**2/7 + 76*t/7 + 12.
-(t - 6)*(t + 1)*(t + 14)/7
Factor -21*g**2/2 + 837*g + 240.
-3*(g - 80)*(7*g + 2)/2
What is a in 2*a**2 + 132*a + 720 = 0?
-60, -6
Let -4*y**5 - 4*y**4 + 4*y**3 + 4*y**2 = 0. What is y?
-1, 0, 1
Suppose -45*k**2/7 + 123*k - 114/7 = 0. Calculate k.
2/15, 19
Suppose z**5/3 - 3*z**4 + 4*z**3 + 44*z**2/3 - 16*z = 0. What is z?
-2, 0, 1, 4, 6
Factor 2*u**2/9 + 14*u/3 + 136/9.
2*(u + 4)*(u + 17)/9
Factor 2*n**4/3 - 16*n**2 + 128*n/3 - 32.
2*(n - 2)**3*(n + 6)/3
Factor d**3/2 - 23*d**2/2 + 143*d/2 - 121/2.
(d - 11)**2*(d - 1)/2
Suppose -4*k**3 - 528*k**2 + 2724*k - 2192 = 0. Calculate k.
-137, 1, 4
Let 5*l**3 - 390*l**2 + 765*l - 380 = 0. Calculate l.
1, 76
Let 36*f**5/7 - 12972*f**4/7 + 1559521*f**3/7 - 62726760*f**2/7 + 20779200*f/7 - 1728000/7 = 0. What is f?
1/6, 120
Factor 100*x**2 - 115*x + 15.
5*(x - 1)*(20*x - 3)
Factor -2*i**3/9 - 4*i**2/3 + 2*i/9 + 4/3.
-2*(i - 1)*(i + 1)*(i + 6)/9
Solve -2*r**5/15 + 14*r**4/15 - 16*r**3/15 - 32*r**2/15 = 0 for r.
-1, 0, 4
Factor 4*o**2/5 - 252*o - 1264/5.
4*(o - 316)*(o + 1)/5
Let n**2/3 + 47*n/3 = 0. What is n?
-47, 0
Factor -10*d**5 - 96*d**4 - 210*d**3 + 100*d**2.
-2*d**2*(d + 5)**2*(5*d - 2)
Factor v**2/4 - 33*v/4 - 35/2.
(v - 35)*(v + 2)/4
Factor y**3/4 - 27*y**2/4 - 189*y/4 - 297/4.
(y - 33)*(y + 3)**2/4
Factor 2*c**5/7 - 38*c**3/7 - 68*c**2/7 + 24*c/7 + 80/7.
2*(c - 5)*(c - 1)*(c + 2)**3/7
Factor 2*r**2/3 + 8*r/9 - 14/9.
2*(r - 1)*(3*r + 7)/9
Suppose 49*s**5/5 - 756*s**4/5 + 3329*s**3/5 - 542*s**2 - 2436*s/5 - 392/5 = 0. Calculate s.
-2/7, 2, 7
Determine u so that 3*u**4/2 - 21*u**3 - 201*u**2/2 - 132*u - 54 = 0.
-2, -1, 18
Solve 4*q**5 + 36*q**4 + 92*q**3 + 28*q**2 - 96*q - 64 = 0.
-4, -1, 1
Determine a, given that 4*a**4 + 4*a**3 - 52*a**2 - 4*a + 48 = 0.
-4, -1, 1, 3
Factor 2*t**3/11 - 64*t**2/11 + 62*t/11.
2*t*(t - 31)*(t - 1)/11
Find d such that -3*d**2 + 32394*d - 87447603 = 0.
5399
Factor 27*m**3 + 1965*m**2 + 1506*m - 432.
3*(m + 1)*(m + 72)*(9*m - 2)
Factor -4*v**2 - 216*v - 416.
-4*(v + 2)*(v + 52)
Factor 3*u**3 + 15*u**2 - 354*u + 336.
3*(u - 8)*(u - 1)*(u + 14)
Solve -2*a**5 - 40*a**4 - 232*a**3 - 320*a**2 = 0.
-10, -8, -2, 0
Factor -l**4 - 503*l**3 + 1014*l**2 + 2012*l - 4040.
-(l - 2)**2*(l + 2)*(l + 505)
What is r in 2*r**4/15 + 6*r**3/5 - 152*r**2/15 - 56*r/5 = 0?
-14, -1, 0, 6
Suppose 3*p**2/7 + 9756*p/7 + 7931628/7 = 0. Calculate p.
-1626
Suppose 2*w**4 - 106*w**3 = 0. Calculate w.
0, 53
Factor 4*v**2 + 508*v.
4*v*(v + 127)
Factor 2*r**2/17 - 6*r/17.
2*r*(r - 3)/17
Find t, given that -7*t**4/3 - 66*t**3 - 140*t**2 - 104*t/3 = 0.
-26, -2, -2/7, 0
Suppose -2*k**3/13 + 70*k**2/13 + 4488*k/13 = 0. What is k?
-33, 0, 68
Determine p, given that p**5 - 41*p**4 + 305*p**3 + 2369*p**2 + 3174*p = 0.
-3, -2, 0, 23
Solve -5*q**4 - 40*q**3 - 85*q**2 - 50*q = 0 for q.
-5, -2, -1, 0
Factor n**3/8 + 93*n**2/8 + 1911*n/8 - 12005/8.
(n - 5)*(n + 49)**2/8
Solve 3*h**4 + 651*h**3 + 645*h**2 - 651*h - 648 = 0.
-216, -1, 1
Let 4*c**5 + 32*c**4 + 64*c**3 = 0. Calculate c.
-4, 0
Suppose z**4/3 + 29*z**3/3 + 193*z**2/3 - 95*z - 150 = 0. What is z?
-15, -1, 2
Find f, given that 2*f**2 - 3868*f + 1870178 = 0.
967
Solve 27*u**3/7 - 114*u**2/7 + 132*u/7 - 24/7 = 0 for u.
2/9, 2
Determine q, given that -2*q**3 + 54*q**2 = 0.
0, 27
Factor -f**4 - 4*f**3 - 5*f**2 - 2*f.
-f*(f + 1)**2*(f + 2)
Factor -5*f**5 - 30*f**4 - 60*f**3 - 50*f**2 - 15*f.
-5*f*(f + 1)**3*(f + 3)
Let -q**2/4 - 4*q + 225/4 = 0. What is q?
-25, 9
Determine b so that 10*b**4 + 42*b**3 - 112*b**2 - 24*b = 0.
-6, -1/5, 0, 2
Find q, given that -q**3/7 + 6*q**2/7 + 16*q/7 - 96/7 = 0.
-4, 4, 6
Factor -5*m**3 + 358*m**2 - 5548*m - 31768.
-(m - 38)**2*(5*m + 22)
What is q in -5*q**4/4 - 175*q**3 + 5*q**2/4 + 175*q = 0?
-140, -1, 0, 1
Solve 4*y**3 + 20*y**2 - 32*y - 192 = 0 for y.
-4, 3
Determine l so that -2*l**5 + 2*l**4 + 18*l**3 - 26*l**2 - 16*l + 24 = 0.
-3, -1, 1, 2
Factor 18*y**2/5 - 39*y/5 - 9.
3*(y - 3)*(6*y + 5)/5
Factor -a**5 - 27*a**4 - 23*a**3 + 83*a**2 + 132*a + 52.
-(a - 2)*(a + 1)**3*(a + 26)
Factor -y**4/4 - 25*y**3/4 + 81*y**2/4 - 83*y/4 + 7.
-(y - 1)**3*(y + 28)/4
Factor -64*s**3/3 + 51232*s**2/3 - 25604*s/3 + 3200/3.
-4*(s - 800)*(4*s - 1)**2/3
Factor -2*o**4 - 90*o**3 - 1052*o**2 - 792*o + 1936.
-2*(o - 1)*(o + 2)*(o + 22)**2
Determine b so that 5*b**3 - 810*b**2 + 28380*b + 369800 = 0.
-10, 86
Factor -m**4/3 + 77*m**3/3 - 1210*m**2/3.
-m**2*(m - 55)*(m - 22)/3
Factor y**4/4 + 5*y**3/4 - y**2/4 - 5*y/4.
y*(y - 1)*(y + 1)*(y + 5)/4
Factor -3*a**3/7 - 20082*a**2/7 - 33607227*a/7.
-3*a*(a + 3347)**2/7
Suppose -u**2/3 + 17*u/3 - 10 = 0. What is u?
2, 15
Factor -3*j**3/4 + 228*j**2 + 3*j/4 - 228.
-3*(j - 304)*(j - 1)*(j + 1)/4
Factor -x**4 + 34*x**3 - 85*x**2 - 4368*x + 8820.
-(x - 21)**2*(x - 2)*(x + 10)
Determine w so that 30*w**3 - 1726*w**2 - 816*w + 232 = 0.
-2/3, 1/5, 58
Factor 2*d**3/17 + 74*d**2/17 + 520*d/17 + 448/17.
2*(d + 1)*(d + 8)*(d + 28)/17
Find p, given that 234256*p**5 - 702768*p**4 + 550308*p**3 - 175208*p**2 + 23808*p - 1152 = 0.
3/22, 4/11, 2
Find x, given that -2*x**5 - 392*x**4 - 18812*x**3 + 38808*x**2 - 19602*x = 0.
-99, 0, 1
Let 300*l**5 + 13930*l**4 + 164592*l**3 + 64732*l**2 - 46092*l + 5290 = 0. Calculate l.
-23, -5/6, 1/5
Factor -2*w**2 - 42*w - 40.
-2*(w + 1)*(w + 20)
Factor n**2/2 + 42*n + 882.
(n + 42)**2/2
Factor y**3 + 12*y**2 + 23*y - 36.
(y - 1)*(y + 4)*(y + 9)
Factor 5*a**4 + 1465*a**3 - 1470*a**2.
5*a**2*(a - 1)*(a + 294)
Solve -2*x**5/9 + 2*x**4/9 + 34*x**3/9 + 38*x**2/9 - 32*x/9 - 40/9 = 0 for x.
-2, -1, 1, 5
Factor 224*o**3 - 296*o**2 + 76*o - 4.
4*(o - 1)*(4*o - 1)*(14*o - 1)
Factor -5*c**2 + 565*c + 1150.
-5*(c - 115)*(c + 2)
Solve -2*f**5 + 7266*f**4 - 8799126*f**3 + 3551913862*f**2 = 0 for f.
0, 1211
Factor -2*w**2/9 + 2*w + 20.
-2*(w - 15)*(w + 6)/9
Suppose -7*j**5/2 + 9*j**4/2 - j**3 = 0. Calculate j.
0, 2/7, 1
Suppose -50*r**4 - 1100*r**3/3 + 282*r**2 + 124*r + 32/3 = 0. What is r?
-8, -1/5, -2/15, 1
Factor 3*p**2/5 - 1008*p/5 + 993.
3*(p - 331)*(p - 5)/5
Factor 2*y**2/11 - 52*y/11 + 338/11.
2*(y - 13)**2/11
Determine g, given that 10*g**2/7 - 24*g/7 + 8/7 = 0.
2/5, 2
Factor b**3/5 - 21*b**2/5 - 46*b/5.
b*(b - 23)*(b + 2)/5
Determine w, given that 3*w**5 + 108*w**4 + 483*w**3 + 546*w**2 - 396*w - 744 = 0.
-31, -2, 1
Suppose 5*u**2 - 5500*u + 1512500 = 0. What is u?
550
Factor -o**2/4 - 73*o/2.
-o*(o + 146)/4
Suppose -2*t**2/3 + 24*t + 602/3 = 0. Calculate t.
-7, 43
Factor -2*k**3/3 + 110*k**2/3 - 316*k/3 + 208/3.
-2*(k - 52)*(k - 2)*(k - 1)/3
Factor l**2/4 - 111*l/2 + 12321/4.
(l - 111)**2/4
Let -3*y**2/8 + 1179*y/8 = 0. Calculate y.
0, 393
Factor 4*y**3/7 - 4*y**2 - 72*y/7.
4*y*(y - 9)*(y + 2)/7
Solve 2*w**3/15 + 14*w**2/5 + 66*w/5 - 242/15 = 0 for w.
-11, 1
Solve 8*v**3 + 382*v**2 + 650*v + 276 = 0.
-46, -1, -3/4
Factor -4*f**3/7 + 288*f**2/7.
-4*f**2*(f - 72)/7
Factor -p**3/4 - 59*p**2/4 - 899*p/4 - 841/4.
-(p + 1)*(p + 29)**2/4
Factor 5*g**3 - 115*g**2 - 245*g - 125.
5*(g - 25)*(g + 1)**2
Factor 7*a**3 - 114*a**2 - 87*a + 34.
(a - 17)*(a + 1)*(7*a - 2)
Suppose -15*d**3 - 307*d**2 - 132*d + 160 = 0. What is d?
