ctor 2*o**5/7 - 96*o**4/7 + 150*o**3 + 2500*o**2/7.
2*o**2*(o - 25)**2*(o + 2)/7
Let 3*l**4 - 6*l**3 + 6*l - 3 = 0. Calculate l.
-1, 1
Factor -4*g**3 + 196*g**2 - 1032*g.
-4*g*(g - 43)*(g - 6)
Factor -k**2/8 + 14*k.
-k*(k - 112)/8
Factor 3*d**4/4 - d**3 + d**2/4.
d**2*(d - 1)*(3*d - 1)/4
Factor 2*d**3/11 - 30*d**2/11 + 96*d/11 - 8.
2*(d - 11)*(d - 2)**2/11
Find q, given that -2*q**5/5 - 4*q**4/5 + 26*q**3/5 - 4*q**2 = 0.
-5, 0, 1, 2
Factor -266805*o**2 - 4620*o - 20.
-5*(231*o + 2)**2
Factor 9*h**3/5 + 249*h**2/5 - 648*h/5 - 108.
3*(h - 3)*(h + 30)*(3*h + 2)/5
Factor 2*q**3/7 + 10*q**2/7 + 4*q/7 - 16/7.
2*(q - 1)*(q + 2)*(q + 4)/7
Find u, given that -4*u**2 - 36*u = 0.
-9, 0
Factor -2*n**4/9 + 22*n**3/9.
-2*n**3*(n - 11)/9
Find p such that -p**5/3 + 2*p**4 + 19*p**3/3 - 20*p**2/3 - 12*p + 32/3 = 0.
-2, 1, 8
Let 3*a**4 - 126*a**3 - 9*a**2 + 384*a - 252 = 0. Calculate a.
-2, 1, 42
Let 5*q**5 - 15*q**4 - 245*q**3 - 225*q**2 = 0. Calculate q.
-5, -1, 0, 9
Factor -3*r**5 - 564*r**4 - 36768*r**3 - 915840*r**2 - 5702400*r - 10368000.
-3*(r + 4)**2*(r + 60)**3
Factor 2*k**2/15 - 124*k/3 + 1232/15.
2*(k - 308)*(k - 2)/15
Suppose -3*t**4/7 - 12*t**3/7 + 297*t**2/7 - 702*t/7 = 0. Calculate t.
-13, 0, 3, 6
Factor 4*k**3/7 + 836*k**2/7 - 1684*k/7 + 844/7.
4*(k - 1)**2*(k + 211)/7
Find f such that 2*f**4/9 + 38*f**3/3 - 118*f**2/3 + 358*f/9 - 40/3 = 0.
-60, 1
Factor 10*d**3/3 - 148*d**2 - 274*d/3 + 60.
2*(d - 45)*(d + 1)*(5*d - 2)/3
Factor -z**2/8 - 90*z - 16200.
-(z + 360)**2/8
Solve y**5 + 13*y**4 + 58*y**3 + 106*y**2 + 85*y + 25 = 0.
-5, -1
Determine s, given that -2*s**2/3 + 38*s = 0.
0, 57
Find j such that -3*j**2/5 + 423*j/5 + 3576/5 = 0.
-8, 149
Factor 4*k**3 + 68*k**2 - 320*k + 336.
4*(k - 2)**2*(k + 21)
Factor -13*z**3/4 + 45*z**2 - 609*z/4 - 49/2.
-(z - 7)**2*(13*z + 2)/4
Factor k**3/2 - 30*k**2 + 113*k/2 + 87.
(k - 58)*(k - 3)*(k + 1)/2
Factor 3*r**5 + 24*r**4 + 51*r**3 + 30*r**2.
3*r**2*(r + 1)*(r + 2)*(r + 5)
Factor -3*u**2/2 + 13*u/4 - 1/2.
-(u - 2)*(6*u - 1)/4
Suppose -z**3/5 - 257*z**2/5 + 208*z - 1044/5 = 0. What is z?
-261, 2
Find x such that 2*x**2 + 171*x - 86 = 0.
-86, 1/2
Suppose r**2/2 - 19*r/2 - 91 = 0. What is r?
-7, 26
Solve 5*k**5/4 + 15*k**4/4 - 5*k**3/4 - 15*k**2/4 = 0 for k.
-3, -1, 0, 1
Factor -5*w**2 + 25*w - 30.
-5*(w - 3)*(w - 2)
Factor t**2/4 - 141*t/4 - 71/2.
(t - 142)*(t + 1)/4
Factor j**4 + 7*j**3 + 12*j**2 - 4*j - 16.
(j - 1)*(j + 2)**2*(j + 4)
Find l, given that -12*l**5 + 9*l**4 + 15*l**3 - 9*l**2 - 3*l = 0.
-1, -1/4, 0, 1
Determine b so that 5*b**4 + 5*b**3 - 40*b**2 - 60*b = 0.
-2, 0, 3
Factor 2*j**4/13 + 6*j**3/13 - 120*j**2/13 - 736*j/13 - 1152/13.
2*(j - 9)*(j + 4)**3/13
Factor -3*n**3/2 - 117*n**2/2 + 330*n.
-3*n*(n - 5)*(n + 44)/2
Suppose -c**5 + 31*c**4 - 60*c**3 - 2812*c**2 - 7520*c - 4800 = 0. Calculate c.
-6, -2, -1, 20
Factor -i**5 - 17*i**4 - 80*i**3 - 64*i**2.
-i**2*(i + 1)*(i + 8)**2
Find f, given that -f**2/5 + 7*f/5 - 2 = 0.
2, 5
What is q in -3*q**5/8 - 45*q**4/2 - 180*q**3 - 1635*q**2/4 - 2925*q/8 - 459/4 = 0?
-51, -6, -1
Determine k, given that -5*k**2 + 40*k - 35 = 0.
1, 7
Let -4*p**4 + 16*p**3 - 12*p**2 - 16*p + 16 = 0. Calculate p.
-1, 1, 2
Factor -u**3 - 4*u**2 + 7*u + 10.
-(u - 2)*(u + 1)*(u + 5)
Find u such that -2*u**2/3 + 4*u/3 + 10 = 0.
-3, 5
What is u in 15*u**5 + 396*u**4 + 771*u**3 - 2214*u**2 + 456*u + 576 = 0?
-24, -4, -2/5, 1
Factor -50*m**4/9 - 8140*m**3/9 - 113096*m**2/3 - 71824*m.
-2*m*(m + 2)*(5*m + 402)**2/9
Find c, given that 4*c**4 - 20*c**3 - 144*c**2 = 0.
-4, 0, 9
Factor 2*j**2/17 - 1100*j/17 + 5450/17.
2*(j - 545)*(j - 5)/17
Suppose -4*a**3 + 92*a**2 - 156*a - 252 = 0. Calculate a.
-1, 3, 21
Factor -2*w**2 + 392*w + 792.
-2*(w - 198)*(w + 2)
Find h, given that 4*h**2 - 32336*h + 65351056 = 0.
4042
Factor 4*q**3 + 68*q**2 + 124*q + 60.
4*(q + 1)**2*(q + 15)
Determine y, given that -4*y**4 - 748*y**3 - 35316*y**2 - 30132*y + 207576 = 0.
-93, -3, 2
Determine f, given that -4*f**5 - 68*f**4 - 252*f**3 + 324*f**2 = 0.
-9, 0, 1
Factor -4*h**4 - 504*h**3 - 1488*h**2 - 1480*h - 492.
-4*(h + 1)**3*(h + 123)
Factor 25*t**2 + 185*t + 70.
5*(t + 7)*(5*t + 2)
Factor -2*p**3/3 + 36*p**2 - 310*p/3 + 68.
-2*(p - 51)*(p - 2)*(p - 1)/3
Factor 3*l**3 - 117*l**2 + 1512*l - 6480.
3*(l - 15)*(l - 12)**2
Factor 2*y**4 - 4*y**3 - 30*y**2 + 72*y.
2*y*(y - 3)**2*(y + 4)
Factor r**5 + 24*r**4 + 101*r**3 - 126*r**2.
r**2*(r - 1)*(r + 7)*(r + 18)
Factor -3*z**3 - 2*z**2/3 + 23*z/3 + 16/3.
-(z + 1)**2*(9*z - 16)/3
Find k, given that -3*k**3 + 117*k**2 + 504*k + 516 = 0.
-2, 43
Factor -x**2 + 94*x - 2209.
-(x - 47)**2
Factor 4*d**3 - 9*d**2 - 9*d.
d*(d - 3)*(4*d + 3)
Factor k**3 + 324*k**2 + 645*k + 322.
(k + 1)**2*(k + 322)
Solve -4*m**4 + 72*m**3 - 132*m**2 + 64*m = 0 for m.
0, 1, 16
Suppose 5*d**2/2 - 135*d/2 + 275 = 0. Calculate d.
5, 22
Determine b so that -3*b**2/2 + 267*b/2 - 132 = 0.
1, 88
Solve 2*b**3 + 48*b**2 - 182*b - 540 = 0 for b.
-27, -2, 5
Suppose -2*c**5/5 - 14*c**4/5 - 22*c**3/5 + 14*c**2/5 + 24*c/5 = 0. What is c?
-4, -3, -1, 0, 1
Determine c so that c**4/4 + 3*c**3/4 - 51*c**2/4 - 163*c/4 + 105/2 = 0.
-6, -5, 1, 7
Solve -5*x**4 - 135*x**3 - 740*x**2 + 3780*x + 19600 = 0.
-14, -4, 5
Determine d so that -4*d**4 - 3392*d**3 - 722488*d**2 - 1434816*d - 715716 = 0.
-423, -1
Determine t so that -5*t**3 - 5*t**2 + 25*t - 15 = 0.
-3, 1
Determine n, given that 2*n**3 + 64*n**2 + 360*n - 2592 = 0.
-18, 4
Let -3*h**4 + 21*h**3 - 33*h**2 + 15*h = 0. What is h?
0, 1, 5
Factor 3*j**4/7 + 57*j**3/7 + 54*j**2 + 972*j/7 + 648/7.
3*(j + 1)*(j + 6)**3/7
Suppose -3*d**5 + 3*d**4 + 63*d**3 - 3*d**2 - 60*d = 0. What is d?
-4, -1, 0, 1, 5
Factor h**4/10 + h**3/2 + 4*h**2/5 + 2*h/5.
h*(h + 1)*(h + 2)**2/10
Suppose -3*l**2 - 792*l - 6885 = 0. What is l?
-255, -9
Factor 2*y**2 - 196*y + 194.
2*(y - 97)*(y - 1)
Factor -g**2 + 314*g/3 + 35.
-(g - 105)*(3*g + 1)/3
Find k, given that 2*k**3/7 - 44*k**2/7 + 150*k/7 - 108/7 = 0.
1, 3, 18
What is i in 324*i**3 - 576*i**2 + 256*i = 0?
0, 8/9
Factor -5*c**2 + 395*c.
-5*c*(c - 79)
Find u such that -u**4/2 + 2*u**3 + 21*u**2 - 110*u + 175/2 = 0.
-7, 1, 5
Factor 3*h**3 + 3171*h**2.
3*h**2*(h + 1057)
Factor 4*n**2/3 + 52*n + 296/3.
4*(n + 2)*(n + 37)/3
Find g, given that -g**5 + 11*g**4 + 43*g**3 - 11*g**2 - 42*g = 0.
-3, -1, 0, 1, 14
Factor -4*v**3 + 444*v**2 - 1724*v + 1284.
-4*(v - 107)*(v - 3)*(v - 1)
What is d in 18*d**2 + 132*d - 208 = 0?
-26/3, 4/3
Factor -l**3/4 - 195*l**2/4 - 97*l/2.
-l*(l + 1)*(l + 194)/4
Determine r so that 2*r**3/3 + 3434*r**2/3 + 1144*r = 0.
-1716, -1, 0
Factor 13*a**2/2 - 7*a/2 - 3.
(a - 1)*(13*a + 6)/2
Factor -h**3/6 - 74*h**2/3 - 2050*h/3 + 53792/3.
-(h - 16)*(h + 82)**2/6
What is x in 5*x**3/3 + 45*x**2 + 405*x + 1215 = 0?
-9
Determine i, given that 2*i**2 + 594*i - 1800 = 0.
-300, 3
Let -12*t**5 - 11024*t**4 - 40304*t**3 - 40264*t**2 - 3652*t + 7320 = 0. What is t?
-915, -2, -1, 1/3
Factor -2*m**2 + 504*m + 506.
-2*(m - 253)*(m + 1)
Find q such that 2*q**4/7 - 90*q**3/7 + 88*q**2/7 = 0.
0, 1, 44
Factor k**2/5 - 3*k/5 + 2/5.
(k - 2)*(k - 1)/5
What is p in -45*p**4 + 402*p**3 + 63*p**2 - 312*p - 108 = 0?
-2/3, -2/5, 1, 9
Factor -i**2/6 - 53*i/6 - 17.
-(i + 2)*(i + 51)/6
Suppose 18*b**4 + 75*b**3 - 330*b**2 + 195*b + 42 = 0. Calculate b.
-7, -1/6, 1, 2
Suppose -5*o**2 + 3590*o + 3595 = 0. What is o?
-1, 719
Determine u, given that -u**2 + 33*u - 140 = 0.
5, 28
Factor -3*z**5 + 12*z**4 - 42*z**2 + 51*z - 18.
-3*(z - 3)*(z - 1)**3*(z + 2)
Let -2*k**4 + 556*k**3/3 - 10568*k**2/3 - 113200*k/3 + 80000/3 = 0. What is k?
-8, 2/3, 50
Suppose 3*c**5 - 6*c**4 - 117*c**3 - 204*c**2 - 96*c = 0. What is c?
-4, -1, 0, 8
Factor -8*g**3 - 164*g**2 - 80*g.
-4*g*(g + 20)*(2*g + 1)
Factor -2*a**3/19 + 6*a**2/19 + 12*a + 416/19.
-2*(a - 13)*(a + 2)*(a + 8)/19
Factor 2*z**3/5 - 1066*z**2/5 + 6334*z/5 - 1054.
2*(z - 527)*(z - 5)*(z - 1)/5
Find y such that 5*y**4 + 50*y**3 + 65*y**2 - 300*y + 180 = 0.
-6, 1
What is u in -u**2/2 - 145*u - 21025/2 = 0?
-145
Solve 3*d**3 + 27*d**2 + 69*d + 45 = 0 for d.
-5, -3, -1
Factor -3*i**3 + 66*i**2 - 63*i.
-3*i*(i - 21)*(i - 1)
Find f such that -2*f**4 + 4*f**3 - 4*f + 2 = 0.
-1, 1
Factor -2*z**2/3 - 100*z/3 + 34.
-2*(z - 1)*(z + 51)/3
Solve m**3/2 + 47*m**2/2 + 264*m - 288 = 0 for m.
-24, 1
Factor -82*g**4 - 12*g**3.
-2