
Factor 3*p**2 - 60*p + 225.
3*(p - 15)*(p - 5)
Determine j, given that -3*j**5 - 66*j**4 + 327*j**3 + 390*j**2 = 0.
-26, -1, 0, 5
Suppose -x**2/4 + 150*x - 599/4 = 0. Calculate x.
1, 599
Solve -3*n**3/7 + 555*n**2/7 + 1686*n/7 + 1128/7 = 0 for n.
-2, -1, 188
Let 62*a**2/3 - 187*a/3 + 1 = 0. What is a?
1/62, 3
Let -27*z**3 + 135*z**2/4 - 9*z - 1 = 0. Calculate z.
-1/12, 2/3
Factor 3*c**4/8 - 9*c**3/2 - 129*c**2/8 - 45*c/4.
3*c*(c - 15)*(c + 1)*(c + 2)/8
Find l, given that 22*l**3 - 194*l**2/3 + 40*l + 8/3 = 0.
-2/33, 1, 2
Find y such that 2*y**3/15 - 32*y**2/5 - 2*y/15 + 32/5 = 0.
-1, 1, 48
Factor -87*u**3 - 6*u**2 + 348*u + 24.
-3*(u - 2)*(u + 2)*(29*u + 2)
Factor -v**2/3 - 19*v/3 - 34/3.
-(v + 2)*(v + 17)/3
Factor -3*i**2 - 306*i - 7803.
-3*(i + 51)**2
Determine h so that -5*h**5/3 - 22*h**4/3 - 13*h**3/3 + 28*h**2/3 + 4*h = 0.
-3, -2, -2/5, 0, 1
Factor 3*d**2 - 126*d + 123.
3*(d - 41)*(d - 1)
Suppose -v**5 + 20*v**4 + 69*v**3 = 0. Calculate v.
-3, 0, 23
Factor 3*h**4 - 3813*h**3 + 1614168*h**2 - 227057088*h - 228675072.
3*(h - 424)**3*(h + 1)
Solve 35*m**3 - 74*m**2 - 97*m + 12 = 0.
-1, 4/35, 3
Determine p so that 3*p**2 - 900*p + 67500 = 0.
150
Factor -3*n**3 + 930*n**2 - 1851*n + 924.
-3*(n - 308)*(n - 1)**2
Solve -30*w**3 - 303*w**2 - 300*w - 27 = 0 for w.
-9, -1, -1/10
Let -3*n**5 - 18*n**4 - 27*n**3 - 12*n**2 = 0. What is n?
-4, -1, 0
Determine r so that r**2/3 - r/3 - 2/3 = 0.
-1, 2
Find d, given that -5*d**2/6 + 2330*d/3 = 0.
0, 932
Factor 2*z**5/3 - 20*z**4/3 - 24*z**3 - 76*z**2/3 - 26*z/3.
2*z*(z - 13)*(z + 1)**3/3
Find d, given that 3*d**4 - 21*d**3 - 3*d**2 + 21*d = 0.
-1, 0, 1, 7
Determine x, given that x**2/4 - 6441*x/2 + 41486481/4 = 0.
6441
Determine m, given that -20*m**5 + 2228*m**4/3 - 7264*m**3 + 18592*m**2/3 + 10176*m + 1728 = 0.
-2/3, -1/5, 2, 18
Factor y**2/3 - 2*y/3 - 8/3.
(y - 4)*(y + 2)/3
Solve -2*r**4/11 - 36*r**3/11 + 40*r**2/11 + 36*r/11 - 38/11 = 0 for r.
-19, -1, 1
What is j in -j**2/6 + 16*j/3 - 31/6 = 0?
1, 31
Factor -5*y**3 - 1270*y**2 + 2560*y.
-5*y*(y - 2)*(y + 256)
Factor -2*u**4/3 + 28*u**3/3 - 34*u**2 + 36*u.
-2*u*(u - 9)*(u - 3)*(u - 2)/3
Find t such that t**5/6 + 32*t**4/3 + 887*t**3/6 - 2210*t**2/3 + 578*t = 0.
-34, 0, 1, 3
Suppose 48*u**5/5 + 632*u**4/5 + 7132*u**3/15 + 2394*u**2/5 - 1008*u/5 + 18 = 0. What is u?
-15/2, -3, 1/6
Suppose -2*g**3 + 1310*g**2 - 215166*g + 213858 = 0. What is g?
1, 327
Factor 5*m**4 + 360*m**3 + 7800*m**2 + 27040*m - 527280.
5*(m - 6)*(m + 26)**3
Find l, given that 4*l**2 - 124*l + 232 = 0.
2, 29
Let -2*m**2/3 + 8*m/3 - 8/3 = 0. Calculate m.
2
What is m in 2*m**4/7 + 4*m**3/7 - 96*m**2/7 - 260*m/7 + 50 = 0?
-5, 1, 7
Determine n, given that -5*n**5 + 95*n**4 - 630*n**3 + 1620*n**2 - 1080*n = 0.
0, 1, 6
Factor -2*u**3/9 + 404*u**2/3 - 20402*u.
-2*u*(u - 303)**2/9
Determine m so that 11*m**3/4 + 7*m**2/2 + 3*m/4 = 0.
-1, -3/11, 0
Find w such that -31*w**3 - 221*w**2 - 214*w - 24 = 0.
-6, -1, -4/31
Factor 3*y**4/7 - 9*y**2/7 - 6*y/7.
3*y*(y - 2)*(y + 1)**2/7
Determine p so that -2*p**3 - 4*p**2 + 10*p + 12 = 0.
-3, -1, 2
Factor -c**4/8 + 19*c**2/8 + 3*c/4 - 9.
-(c - 4)*(c - 2)*(c + 3)**2/8
Determine p so that 4*p**3/3 - 80*p**2/3 + 212*p/3 - 136/3 = 0.
1, 2, 17
Factor 3*n**3/5 + 1791*n**2/5 + 3573*n/5 + 357.
3*(n + 1)**2*(n + 595)/5
Factor -b**2 - 6*b + 40.
-(b - 4)*(b + 10)
Let z**5 - 40*z**4 + 532*z**3 - 2704*z**2 + 5632*z - 4096 = 0. What is z?
2, 4, 16
Determine m so that -2*m**4/7 - 246*m**3/7 - 10086*m**2/7 - 137842*m/7 = 0.
-41, 0
Find f such that -3*f**3/7 + 12*f**2/7 + 3*f - 30/7 = 0.
-2, 1, 5
Determine r so that r**4/4 - 15*r**3/4 + 27*r**2/4 - 13*r/4 = 0.
0, 1, 13
Factor 110*l**2 - 455*l.
5*l*(22*l - 91)
Factor 3*i**4 - 12*i**3 - 21*i**2 + 30*i.
3*i*(i - 5)*(i - 1)*(i + 2)
Factor -2*b**5/3 - 10*b**4 - 28*b**3/3.
-2*b**3*(b + 1)*(b + 14)/3
Determine h, given that h**2/4 + 460*h + 211600 = 0.
-920
Determine v, given that -v**5 + 20*v**4 - 144*v**3 + 454*v**2 - 623*v + 294 = 0.
1, 2, 3, 7
Factor -3*f**3 + 126*f**2 + 261*f + 132.
-3*(f - 44)*(f + 1)**2
Factor g**4/3 + 295*g**3/3 - 296*g**2/3.
g**2*(g - 1)*(g + 296)/3
Solve 2*t**4/5 - 36*t**3/5 - 166*t**2/5 - 216*t/5 - 88/5 = 0 for t.
-2, -1, 22
Let -12*v**4 - 20*v**3 + 40*v**2 + 80*v + 32 = 0. What is v?
-2, -1, -2/3, 2
Factor -2*q**2/7 - 6394*q/7 + 6396/7.
-2*(q - 1)*(q + 3198)/7
Factor -2*h**2 - 30*h + 32.
-2*(h - 1)*(h + 16)
Solve 4*g**2 + 144*g + 396 = 0.
-33, -3
Solve -t**4/2 - 105*t**3/2 - 409*t**2/2 - 507*t/2 - 101 = 0 for t.
-101, -2, -1
Determine b so that 7*b**4 - 47*b**3 - 14*b**2 + 252*b + 72 = 0.
-2, -2/7, 3, 6
Factor -5*p**4 + 90*p**3 + 200*p**2.
-5*p**2*(p - 20)*(p + 2)
Solve q**2/4 - 1117*q/4 = 0 for q.
0, 1117
Factor -c**2/5 + 48*c/5 + 20.
-(c - 50)*(c + 2)/5
Factor -3*m**3/2 - 43*m**2/2 - 53*m/2 - 13/2.
-(m + 1)*(m + 13)*(3*m + 1)/2
Factor 12*d**2/11 + 4286*d/11 + 714/11.
2*(d + 357)*(6*d + 1)/11
Let -2*u**2/15 - 26*u/15 + 76/5 = 0. Calculate u.
-19, 6
Factor 16*j**4 - 4*j**3 - 52*j**2 + 40*j.
4*j*(j - 1)*(j + 2)*(4*j - 5)
Factor -s**2 + 348*s - 30276.
-(s - 174)**2
Solve -3*u**2/2 - 1701*u/2 - 849 = 0 for u.
-566, -1
Let 6*p**5/7 + 2*p**4/7 - 22*p**3/7 - 18*p**2/7 + 8*p/7 + 8/7 = 0. What is p?
-1, 2/3, 2
Factor p**3/4 - 11*p**2/4.
p**2*(p - 11)/4
Let -2*z**2 + 8*z + 64 = 0. What is z?
-4, 8
Determine q, given that 4*q**2 - 336*q + 1280 = 0.
4, 80
Solve -5*h**5/3 - 5*h**4 + 25*h**3/3 + 25*h**2 - 20*h/3 - 20 = 0.
-3, -2, -1, 1, 2
Factor 2*s**2 + 4*s + 2.
2*(s + 1)**2
Suppose -r**3/6 - 247*r**2/6 - 14875*r/6 + 15625/2 = 0. Calculate r.
-125, 3
Factor a**4 + 3*a**3 - 45*a**2 + 77*a - 36.
(a - 4)*(a - 1)**2*(a + 9)
Factor 2*c**5/5 - 2*c**4 + 12*c**3/5 + 4*c**2/5 - 14*c/5 + 6/5.
2*(c - 3)*(c - 1)**3*(c + 1)/5
Find v such that v**2/9 - 95*v/9 - 194/9 = 0.
-2, 97
What is f in 2*f**4 + 340*f**3 - 4272*f**2 + 17344*f - 23296 = 0?
-182, 4
Factor 3*m**5 + 6*m**4 - 6*m**2 - 3*m.
3*m*(m - 1)*(m + 1)**3
Factor -2*g**3/11 + 60*g**2/11 + 62*g/11.
-2*g*(g - 31)*(g + 1)/11
Factor 2*p**2/5 - 2*p + 8/5.
2*(p - 4)*(p - 1)/5
Let -3*x**5 + 27*x**4 - 96*x**3 + 168*x**2 - 144*x + 48 = 0. Calculate x.
1, 2
Solve -2*y**4/21 + 208*y**3/7 - 48044*y**2/21 - 32656*y/7 - 49298/21 = 0.
-1, 157
Determine o so that 2*o**2/9 - 2*o + 40/9 = 0.
4, 5
What is r in 4*r**5 + 388*r**4/3 - 1132*r**3/3 - 140*r**2 = 0?
-35, -1/3, 0, 3
What is h in -3*h**4 - 1464*h**3 - 175656*h**2 + 720288*h - 726192 = 0?
-246, 2
Factor -2*x**5/9 - 20*x**4/9 - 56*x**3/9 - 16*x**2/3.
-2*x**2*(x + 2)**2*(x + 6)/9
Factor -q**4/3 - 31*q**3 + q**2/3 + 31*q.
-q*(q - 1)*(q + 1)*(q + 93)/3
Solve -4*p**5/3 - 8*p**4 + 20*p**3 + 400*p**2/3 = 0 for p.
-5, 0, 4
Suppose -g**2 - 3*g + 4 = 0. What is g?
-4, 1
Let 5*z**3 - 175*z**2 - 5*z + 175 = 0. Calculate z.
-1, 1, 35
Determine q so that 3*q**4 + 21*q**3 + 15*q**2 - 21*q - 18 = 0.
-6, -1, 1
Find f such that 2*f**5/3 + 104*f**4 + 5126*f**3 + 253132*f**2/3 + 500456*f + 702768 = 0.
-66, -11, -2
Let -m**5 - 31*m**4 + 32*m**3 = 0. What is m?
-32, 0, 1
What is k in -5*k**4/4 + 465*k**3/4 = 0?
0, 93
Find f such that -4*f**2 + 80*f - 76 = 0.
1, 19
What is r in -45*r**5 - 96*r**4 + 123*r**3 + 378*r**2 + 228*r + 24 = 0?
-2, -1, -2/15, 2
Find b, given that 3*b**2/2 + 279*b/2 - 891 = 0.
-99, 6
Let -2*p**2 + 1268*p - 200978 = 0. What is p?
317
Find d, given that -2*d**2 - 28*d - 90 = 0.
-9, -5
Let -10*d**4 + 16*d**3 - 2*d**2 - 4*d = 0. Calculate d.
-2/5, 0, 1
Find k such that -3*k**4/2 - 21*k**3/2 + 15*k**2/2 + 225*k/2 = 0.
-5, 0, 3
Factor 5*p**2/6 - p - 4/3.
(p - 2)*(5*p + 4)/6
Factor -7*d**2/2 + 2069*d/2 - 590.
-(d - 295)*(7*d - 4)/2
Factor q**5/2 + q**4 - q**3 - 4*q**2 - 7*q/2 - 1.
(q - 2)*(q + 1)**4/2
Let 3*g**3/2 - 87*g**2/2 + 312*g - 270 = 0. What is g?
1, 10, 18
Factor -3*v**4 - 6*v**3 + 189*v**2.
-3*v**2*(v - 7)*(v + 9)
Factor -v**4/5 + 56*v**3/5 - 838*v**2/5 + 1512*v/5 - 729/5.
-(v - 27)**2*(v - 1)**2/5
Suppose -84*q**3 + 3616*q**2 + 2476*q - 1224 = 0. Calculate q.
-1, 1/3, 306/7
Factor -5*n**2 - 1175*n - 11250.
-5*(n + 10)*(n + 225)
Factor 33*x**3 - 38748*x**2 + 11377821*x - 2067414.
3*(x - 587)**2*(11*x - 2)
Suppose 2*m**5 + 90*m**4 - 104*m**3 - 552*m**2 = 0. Calculate m.
-46, -2, 0, 3
Suppose 4*b**5 + 64*b**4 + 284*b**3 + 224*b**2 = 0. What is b?
-8, -7, -1, 0
Factor -v**2 - 1211*v.
-v*(v + 1211)
Factor 2*t**2 + 42*t - 44