 52*c**3 + 154*c**2 = 0. Calculate c.
-231, -3, 0
Suppose -2*b**4/7 + 8*b**3/7 + 2*b**2 - 20*b/7 = 0. Calculate b.
-2, 0, 1, 5
Let -155*y**4 - 156*y**3 - y**2 = 0. Calculate y.
-1, -1/155, 0
Suppose -147*u**5 + 1043*u**4 - 1181*u**3 - 1679*u**2 - 568*u - 60 = 0. Calculate u.
-1/3, -2/7, 3, 5
Let 2*j**2 - 3944*j + 1944392 = 0. What is j?
986
Determine k so that -5*k**2 - 24600*k - 30258000 = 0.
-2460
Let -5*l**2 - 260*l - 3380 = 0. Calculate l.
-26
Factor 18*a**4/11 + 282*a**3/11 + 112*a**2 + 88*a.
2*a*(a + 1)*(3*a + 22)**2/11
Factor c**3 + 308*c**2 + 1220*c + 1216.
(c + 2)**2*(c + 304)
Find n such that -7*n**5/3 - 61*n**4/3 + 298*n**3/3 + 256*n**2/3 - 32*n = 0.
-12, -1, 0, 2/7, 4
Determine p so that -2*p**5 - 4356*p**4 + 17448*p**3 - 17456*p**2 = 0.
-2182, 0, 2
Factor -3*g**2 - 138*g - 1587.
-3*(g + 23)**2
Factor 33*c**3/4 - 433*c**2/8 + 521*c/8 - 15/4.
(c - 5)*(2*c - 3)*(33*c - 2)/8
Let -2*a**3/3 - 1012*a**2/9 + 38*a + 676/9 = 0. Calculate a.
-169, -2/3, 1
Factor 2*j**2/5 + 134*j + 668/5.
2*(j + 1)*(j + 334)/5
Determine a so that -28*a**5/3 + 20*a**4/3 + 12*a**3 - 20*a**2/3 - 8*a/3 = 0.
-1, -2/7, 0, 1
Factor w**2/8 + 23*w/4 + 429/8.
(w + 13)*(w + 33)/8
Let -2*b**2/7 + 528*b/7 - 34848/7 = 0. Calculate b.
132
What is k in -5*k**3 - 3420*k**2 - 779760*k - 59261760 = 0?
-228
Factor 2*v**5/3 + 2*v**4/3 - 2*v**3 - 10*v**2/3 - 4*v/3.
2*v*(v - 2)*(v + 1)**3/3
Let -i**3/2 + 11*i**2/2 - 10*i - 16 = 0. Calculate i.
-1, 4, 8
Factor -2*q**3/9 + 4*q**2/3 - 10*q/9 - 8/3.
-2*(q - 4)*(q - 3)*(q + 1)/9
Factor -2*t**2 - 59*t/2 + 15/2.
-(t + 15)*(4*t - 1)/2
Let 9*u**4 - 606*u**3 + 2937*u**2 + 2436*u - 1116 = 0. What is u?
-1, 1/3, 6, 62
Determine x, given that -9*x**2 + 502*x + 112 = 0.
-2/9, 56
Factor g**3/5 - 72*g**2 - 363*g/5 + 722/5.
(g - 361)*(g - 1)*(g + 2)/5
Factor -t**2/6 + 6047*t/3 - 36566209/6.
-(t - 6047)**2/6
Let -f**4/3 - 19*f**3/6 - 8*f**2/3 + 61*f/6 - 4 = 0. What is f?
-8, -3, 1/2, 1
Determine h so that 2*h**5 - 16*h**4 - 20*h**3 + 16*h**2 + 18*h = 0.
-1, 0, 1, 9
Let -3362*l**3/9 - 10660*l**2/9 - 3008*l/3 - 256 = 0. What is l?
-2, -24/41
Factor -4*h**2/3 - 104*h/3 - 64.
-4*(h + 2)*(h + 24)/3
Let 5*p**5 - 80*p**3 + 190*p**2 - 165*p + 50 = 0. Calculate p.
-5, 1, 2
Solve -y**3 + 4859*y**2 + y - 4859 = 0.
-1, 1, 4859
Let -2*y**2/17 - 8*y/17 + 64/17 = 0. Calculate y.
-8, 4
Find x, given that -3*x**3/5 + 4914*x**2/5 - 2012283*x/5 = 0.
0, 819
Factor u**5/7 - 3*u**4/7 - 15*u**3/7 - 17*u**2/7 - 6*u/7.
u*(u - 6)*(u + 1)**3/7
Let -4*m**5/3 - 64*m**4/3 - 308*m**3/3 - 440*m**2/3 - 64*m = 0. Calculate m.
-8, -6, -1, 0
Factor -2*q**4 + 630*q**3 + 1902*q**2 + 1906*q + 636.
-2*(q - 318)*(q + 1)**3
Let 10*u**3/3 - 4*u**2 - 18*u - 32/3 = 0. What is u?
-1, 16/5
Suppose 2*s**3/11 - 48*s**2/11 + 46*s/11 = 0. Calculate s.
0, 1, 23
Suppose -5*m**2 - 25*m + 70 = 0. Calculate m.
-7, 2
Factor 10*k**4 + 115*k**3 + 275*k**2 + 170*k.
5*k*(k + 1)*(k + 2)*(2*k + 17)
Factor -5*r**3 - 110*r**2.
-5*r**2*(r + 22)
Factor 2*h**5 - 10*h**4 - 44*h**3 - 32*h**2.
2*h**2*(h - 8)*(h + 1)*(h + 2)
Factor -2*n**2 + 68*n - 66.
-2*(n - 33)*(n - 1)
Suppose -2*k**4 + 300*k**3 - 11250*k**2 = 0. Calculate k.
0, 75
Factor k**2/6 - 5*k/6 + 1.
(k - 3)*(k - 2)/6
Let -3*c**3/2 - 3*c**2/2 + 3*c/2 + 3/2 = 0. Calculate c.
-1, 1
Let d**2/3 + 6*d - 19/3 = 0. Calculate d.
-19, 1
Determine k, given that 4*k**5 + 116*k**4 - 504*k**3 + 776*k**2 - 524*k + 132 = 0.
-33, 1
Factor 3*d**5 + 6*d**4 - 540*d**3 - 4536*d**2 - 10368*d.
3*d*(d - 16)*(d + 6)**3
Factor -4*d**4/7 - 76*d**3/7 - 72*d**2 - 1296*d/7 - 864/7.
-4*(d + 1)*(d + 6)**3/7
Determine r so that -r**3/5 + 6*r**2/5 + 4*r/5 - 24/5 = 0.
-2, 2, 6
Determine d, given that -d**2/5 + 46*d + 699/5 = 0.
-3, 233
Find f such that -54*f**4/7 - 264*f**3/7 - 402*f**2/7 - 24*f + 24/7 = 0.
-2, -1, 1/9
Factor -4*c**2 + 4.
-4*(c - 1)*(c + 1)
Factor -5*r**5 - 120*r**4 - 225*r**3 - 110*r**2.
-5*r**2*(r + 1)**2*(r + 22)
Let -2*r**4/3 - 8*r**3/3 + 2*r**2/3 + 8*r/3 = 0. What is r?
-4, -1, 0, 1
Suppose j**3 + 24*j**2 - 196*j - 480 = 0. Calculate j.
-30, -2, 8
Factor 3*u**3 - 2259*u**2 + 426384*u - 424128.
3*(u - 376)**2*(u - 1)
Solve -q**5/3 + q**4 + 4*q**3/3 - 4*q**2 = 0.
-2, 0, 2, 3
What is y in -y**4/3 + 47*y**3/3 + 148*y**2/3 + 100*y/3 = 0?
-2, -1, 0, 50
Factor q**4 - 2*q**3 - 4*q**2 + 2*q + 3.
(q - 3)*(q - 1)*(q + 1)**2
Solve 2*h**4/3 - 14*h**3/3 + 10*h**2/3 + 14*h/3 - 4 = 0.
-1, 1, 6
Factor q**3/4 + 4*q**2 - 105*q/4.
q*(q - 5)*(q + 21)/4
Suppose -3*v**3 + 237*v**2 - 453*v - 693 = 0. What is v?
-1, 3, 77
Solve -d**2/4 + d/4 + 14 = 0 for d.
-7, 8
Factor h**2 + 7*h - 120.
(h - 8)*(h + 15)
Factor 4*x**2 + 48*x + 144.
4*(x + 6)**2
Factor 5*b**3 - 1205*b**2 + 71995*b + 73205.
5*(b - 121)**2*(b + 1)
Suppose -3*m**2/7 + 18*m/7 + 480/7 = 0. Calculate m.
-10, 16
Let 63*m**3/4 - 789*m**2 + 1587*m - 144 = 0. What is m?
2/21, 2, 48
Let 17*b**5 - 15*b**4 - 19*b**3 + 15*b**2 + 2*b = 0. Calculate b.
-1, -2/17, 0, 1
Let -14*d**3 - 158*d**2 - 296*d - 72 = 0. What is d?
-9, -2, -2/7
Determine q, given that 4*q**3/5 + 100*q**2 + 2876*q/5 + 476 = 0.
-119, -5, -1
Find h such that -5*h**4/3 + 15*h**3 - 30*h**2 - 20*h/3 + 40 = 0.
-1, 2, 6
Factor 1845*u**2/4 + 291*u/4 + 3/2.
3*(15*u + 2)*(41*u + 1)/4
Factor -2*r**2 - 952*r - 113288.
-2*(r + 238)**2
Factor 5*u**2/3 - 1250*u.
5*u*(u - 750)/3
Find r such that -r**3 + 18*r**2 + 19*r = 0.
-1, 0, 19
Find y such that -105*y**3/2 + 37*y**2 + 4*y = 0.
-2/21, 0, 4/5
Factor -2*y**4 + 98*y**3 - 1530*y**2 + 6358*y + 19652.
-2*(y - 17)**3*(y + 2)
Factor -d**4 - 57*d**3 - 311*d**2 - 255*d.
-d*(d + 1)*(d + 5)*(d + 51)
Find x such that 4*x**2 + 4*x - 80 = 0.
-5, 4
Suppose 35*z**2 + 84900*z - 24260 = 0. What is z?
-2426, 2/7
Factor -2*t**4/5 + 6*t**3/5 - 8*t/5.
-2*t*(t - 2)**2*(t + 1)/5
Solve -2*h**2/17 + 26*h/17 + 96/17 = 0.
-3, 16
What is m in -3*m**3 + 11115*m**2 - 13727025*m + 5650958625 = 0?
1235
Solve 9*u**4 + 66*u**3 + 33*u**2 - 216*u + 108 = 0.
-6, -3, 2/3, 1
Solve 20*j**2 - 136*j + 116 = 0 for j.
1, 29/5
Determine p, given that 6084*p**4 + 17628*p**3 + 10312*p**2 - 1200*p + 32 = 0.
-2, -1, 2/39
Factor h**2 - 195*h + 194.
(h - 194)*(h - 1)
Factor 3*v**2/2 - 453*v + 68403/2.
3*(v - 151)**2/2
Determine c so that -2*c**3/9 - 6*c**2 - 268*c/9 - 112/3 = 0.
-21, -4, -2
Factor -3*s**4 - 8466*s**3 - 5981220*s**2 - 11928600*s.
-3*s*(s + 2)*(s + 1410)**2
Factor -125*h**5 - 2975*h**4 - 2320*h**3 - 460*h**2.
-5*h**2*(h + 23)*(5*h + 2)**2
Factor n**5 + 83*n**4 + 1500*n**3 - 9328*n**2 + 7744*n.
n*(n - 4)*(n - 1)*(n + 44)**2
Factor -b**2/10 + 2112*b/5 - 2230272/5.
-(b - 2112)**2/10
Factor -3*o**3/2 - 63*o**2/2 + 114*o + 144.
-3*(o - 4)*(o + 1)*(o + 24)/2
Find y such that -34*y**3/7 + 3*y**2 - 2*y/7 = 0.
0, 2/17, 1/2
Let -2*c**4 + 4*c**3 + 150*c**2 - 800*c + 1000 = 0. What is c?
-10, 2, 5
Factor -5*q**3 - 85*q**2 + 45*q + 765.
-5*(q - 3)*(q + 3)*(q + 17)
Let 40*c**4/3 - 356*c**3/3 + 199*c**2/2 - 85*c/3 + 8/3 = 0. What is c?
1/4, 2/5, 8
Determine d, given that -d**2/2 + 25*d/2 + 175 = 0.
-10, 35
Let 5*u**2 - 50*u = 0. What is u?
0, 10
Suppose 3*h**3 + 21*h**2 - 15*h - 225 = 0. What is h?
-5, 3
Determine n so that n**5/5 + 2*n**4/5 - 3*n**3/5 - 8*n**2/5 - 4*n/5 = 0.
-2, -1, 0, 2
Let -y**5/4 - 11*y**4/4 - 15*y**3/2 + 11*y**2/2 + 95*y/4 - 75/4 = 0. What is y?
-5, -3, 1
Factor -2*t**5 + 198*t**4 - 1140*t**3 + 2252*t**2 - 1866*t + 558.
-2*(t - 93)*(t - 3)*(t - 1)**3
Factor -n**3 - 28*n**2 + 31*n + 58.
-(n - 2)*(n + 1)*(n + 29)
Find g, given that 2*g**5 + 28*g**4 - 118*g**3 - 2048*g**2 + 440*g + 7744 = 0.
-11, -2, 2, 8
Find x, given that x**4/8 + 39*x**3/8 - 153*x**2/4 + 181*x/2 - 69 = 0.
-46, 2, 3
Factor -z**4/4 + 23*z**3/2 - 341*z**2/4 + 74*z.
-z*(z - 37)*(z - 8)*(z - 1)/4
Solve -3*c**3 + 9*c + 6 = 0 for c.
-1, 2
Factor -l**5 - 75*l**4 - 1803*l**3 - 14725*l**2 - 34596*l.
-l*(l + 4)*(l + 9)*(l + 31)**2
Let 2*y**2 + 114*y + 112 = 0. What is y?
-56, -1
Factor 2*v**3/7 - 174*v**2/7 + 340*v/7.
2*v*(v - 85)*(v - 2)/7
Factor 3*g**3/8 + 7*g**2/4 - 77*g/8 + 3.
(g - 3)*(g + 8)*(3*g - 1)/8
Factor -4*r**2 - 104*r + 224.
-4*(r - 2)*(r + 28)
Factor -3*h**3 + 57*h**2 - 132*h - 192.
-3*(h - 16)*(h - 4)*(h + 1)
Find m such that 2*m**4/5 + 36*m**3/5 + 24*m**2 + 112*m/5 = 0.
-14, -2, 0
Factor 289*y**2/3 + 170*y/3 + 25/3.
(17*y + 5)**2/3
Suppose x**5/3 - 37*x**4/3 + 106*x**3 + 554*x**2/3 - 1919*x