 2
Factor 2*b**2/7 - 66*b/7 + 64/7.
2*(b - 32)*(b - 1)/7
What is g in -g**3 + 62*g**2 - 121*g + 60 = 0?
1, 60
Suppose 4*m**4 - 112*m**3 + 708*m**2 - 1400*m + 800 = 0. What is m?
1, 2, 5, 20
Factor -z**3/2 + 26*z**2 - 725*z/2 + 625.
-(z - 25)**2*(z - 2)/2
Factor -375*f**4/7 - 1425*f**3/7 + 2070*f**2/7 - 876*f/7 + 120/7.
-3*(f + 5)*(5*f - 2)**3/7
Solve -6*k**3/7 + 40*k**2/7 - 24*k/7 = 0 for k.
0, 2/3, 6
Find j, given that j**3/3 - 5*j**2 + 500/3 = 0.
-5, 10
Determine r, given that 2465*r**2 - 785*r - 30 = 0.
-1/29, 6/17
Factor -t**2/4 - 53*t - 211/4.
-(t + 1)*(t + 211)/4
What is w in 2*w**4/7 - 22*w**3/7 - 12*w**2 = 0?
-3, 0, 14
Determine k so that 3*k**2 - 13*k + 4 = 0.
1/3, 4
Find v such that -45*v**2 + 1340*v + 300 = 0.
-2/9, 30
Solve -6*v**3 - 47*v**2 - 70*v = 0 for v.
-35/6, -2, 0
Find k such that -250*k**4 - 2550*k**3 - 2820*k**2 - 1096*k - 144 = 0.
-9, -2/5
Factor 25*n**2 - 1190*n - 480.
5*(n - 48)*(5*n + 2)
Solve 4*v**3 - 96*v**2 + 336*v - 320 = 0.
2, 20
Let 2*o**5/7 + 50*o**4/7 = 0. What is o?
-25, 0
Factor -u**3/2 - 13*u**2/2 + 8*u + 14.
-(u - 2)*(u + 1)*(u + 14)/2
Solve 2*u**2 + 4036*u + 2036162 = 0.
-1009
Factor 2*o**3 - 42*o**2 + 270*o - 486.
2*(o - 9)**2*(o - 3)
Determine p, given that p**4 + 725*p**3 + 175689*p**2 + 14346007*p + 27995042 = 0.
-241, -2
Determine b so that -b**2 + 5094*b - 6487209 = 0.
2547
Factor 2*u**5 + 24*u**4 + 42*u**3 - 196*u**2.
2*u**2*(u - 2)*(u + 7)**2
Factor -3*u**2/4 - 27*u - 609/4.
-3*(u + 7)*(u + 29)/4
Let -9*m**4/4 + 3*m**3/2 + 12*m**2 + 21*m/2 + 9/4 = 0. What is m?
-1, -1/3, 3
Factor -2*c**5/13 + 4*c**4/13 - 4*c**2/13 + 2*c/13.
-2*c*(c - 1)**3*(c + 1)/13
Suppose -3*j**4/5 - 378*j**3/5 + 1548*j**2/5 - 312*j = 0. Calculate j.
-130, 0, 2
Suppose 5*t**3 - 435*t**2 - 440*t = 0. Calculate t.
-1, 0, 88
Let -2*u**4/11 - 38*u**3/11 - 128*u**2/11 - 120*u/11 = 0. What is u?
-15, -2, 0
Factor -5*p**2 - 10970*p - 6017045.
-5*(p + 1097)**2
Let 3*r**5/4 + 621*r**4/2 + 32751*r**3 + 253995*r**2/2 + 378225*r/4 = 0. Calculate r.
-205, -3, -1, 0
Let c**3/7 - 111*c**2/7 - 114*c/7 + 32 = 0. Calculate c.
-2, 1, 112
Solve 2*w**3 - 48*w**2/5 + 72*w/5 - 32/5 = 0 for w.
4/5, 2
Factor 2*o**2/13 - 22*o/13 - 4.
2*(o - 13)*(o + 2)/13
Factor 3*g**3/7 - 108*g**2/7 + 69*g - 558/7.
3*(g - 31)*(g - 3)*(g - 2)/7
Determine x so that 4*x**3 - 1144*x**2 + 3356*x + 11320 = 0.
-2, 5, 283
What is f in -3*f**2 - 9792*f - 7990272 = 0?
-1632
Factor -2*q**3/7 + 60*q**2/7 + 74*q/7 - 372/7.
-2*(q - 31)*(q - 2)*(q + 3)/7
Factor -2*b**2/5 + 76*b + 768/5.
-2*(b - 192)*(b + 2)/5
Let g**4/2 - 13*g**3/2 + 47*g**2/2 - 59*g/2 + 12 = 0. What is g?
1, 3, 8
What is w in w**5 + w**4 - 21*w**3 - w**2 + 20*w = 0?
-5, -1, 0, 1, 4
Find b such that 925*b**2 - 920*b - 5 = 0.
-1/185, 1
Suppose -t**2/6 + 4160*t/3 - 8652800/3 = 0. Calculate t.
4160
Factor 2*d**2 - 14*d - 120.
2*(d - 12)*(d + 5)
Factor -5*l**2 - 360*l - 6480.
-5*(l + 36)**2
Factor -4*r**2/9 + 10*r/3 + 16/9.
-2*(r - 8)*(2*r + 1)/9
Determine o, given that 4*o**2/5 + 56*o/5 + 196/5 = 0.
-7
Let 4*q**5 + 84*q**4 + 656*q**3 + 2304*q**2 + 3456*q + 1728 = 0. What is q?
-6, -2, -1
Factor -2*c**3 + 16*c**2 + 38*c + 20.
-2*(c - 10)*(c + 1)**2
Factor 10*b**3/3 + 4*b**2/3 - 34*b/3 - 28/3.
2*(b - 2)*(b + 1)*(5*b + 7)/3
Solve 2*i**2 - 38*i - 84 = 0.
-2, 21
Factor -4*c**2 + 20*c - 24.
-4*(c - 3)*(c - 2)
Factor -m**4/3 + 5*m**3/3 + 63*m**2 - 2009*m/3 + 5488/3.
-(m - 7)**3*(m + 16)/3
Solve -y**3 + 8*y**2 = 0.
0, 8
Factor 2*y**3/7 + 1956*y**2/7 + 1950*y/7 - 3908/7.
2*(y - 1)*(y + 2)*(y + 977)/7
Determine n, given that -2*n**4/5 + 268*n**3/5 - 2074*n**2 + 89304*n/5 = 0.
0, 12, 61
Let 3*j**4/4 - 765*j**3/2 - 384*j**2 + 765*j/2 + 1533/4 = 0. What is j?
-1, 1, 511
Factor -20577*o**3 - 22743*o**2 - 8379*o - 1029.
-3*(19*o + 7)**3
Solve 105*b**3 + 243*b**2 - 204*b + 36 = 0.
-3, 2/7, 2/5
Suppose -3*t**2 + 147*t - 144 = 0. What is t?
1, 48
Factor 5*s**4 - 135*s**3 + 305*s**2 + 8415*s + 14450.
5*(s - 17)**2*(s + 2)*(s + 5)
Let -4*j**3 + 4*j**2 + 148*j + 140 = 0. What is j?
-5, -1, 7
Factor 15*b**3 - 25*b**2 - 20*b + 20.
5*(b - 2)*(b + 1)*(3*b - 2)
Determine k so that -3*k**2/4 + 279*k - 25947 = 0.
186
Solve -m**3/3 + 8*m**2/3 + 95*m/3 + 50 = 0 for m.
-5, -2, 15
Factor -20*c**2 + 1632*c + 656.
-4*(c - 82)*(5*c + 2)
Solve 4*q**3/7 + 335*q**2/7 + 996*q - 252 = 0.
-42, 1/4
What is l in -25*l**5 + 3270*l**4 + 3955*l**3 + 660*l**2 = 0?
-1, -1/5, 0, 132
Solve -2*h**5 - 50*h**4/3 - 118*h**3/3 - 22*h**2/3 + 148*h/3 + 16 = 0.
-4, -3, -2, -1/3, 1
Factor -21*x**5/2 - 279*x**4/2 - 39*x**3.
-3*x**3*(x + 13)*(7*x + 2)/2
Factor -10*l**5 + 22*l**4 - 14*l**3 + 2*l**2.
-2*l**2*(l - 1)**2*(5*l - 1)
Factor -2*y**2/7 + 332*y/7 - 13778/7.
-2*(y - 83)**2/7
Determine z so that -3*z**2/5 - 41376*z/5 - 142664448/5 = 0.
-6896
Let 3*b**3 - 12*b**2 + 9*b = 0. Calculate b.
0, 1, 3
Solve p**5/6 + 4*p**4/3 + 2*p**3 - p**2/3 - 13*p/6 - 1 = 0.
-6, -1, 1
Factor h**5/2 + 7*h**4/2 + 3*h**3/2 - 23*h**2/2 - 16*h - 6.
(h - 2)*(h + 1)**3*(h + 6)/2
Factor -j**4/4 - 21*j**3/4 + j**2/4 + 21*j/4.
-j*(j - 1)*(j + 1)*(j + 21)/4
Let -a**5/2 + 46*a**4 - 679*a**3/2 + 294*a**2 = 0. Calculate a.
0, 1, 7, 84
Factor 5*j**2 - 155*j - 700.
5*(j - 35)*(j + 4)
Factor -52*s**3 + 212*s**2 - 268*s + 108.
-4*(s - 1)**2*(13*s - 27)
Factor -1521*y**2/2 - 156*y - 8.
-(39*y + 4)**2/2
Determine a so that 4*a**3 - 3380*a**2 + 10104*a = 0.
0, 3, 842
Factor -17*s**3 + 121*s**2 + 1006*s - 120.
-(s - 12)*(s + 5)*(17*s - 2)
Factor a**4/3 - 5*a**3/3 + a**2 + 5*a/3 - 4/3.
(a - 4)*(a - 1)**2*(a + 1)/3
Factor 4*o**4/5 + 48*o**3/5 + 184*o**2/5 + 48*o + 20.
4*(o + 1)**2*(o + 5)**2/5
Factor -3*p**3/2 + 39*p**2 + 921*p/2 + 420.
-3*(p - 35)*(p + 1)*(p + 8)/2
Find m, given that 2*m**2/3 - 68*m/9 - 16/3 = 0.
-2/3, 12
Factor 2*q**2 - 22*q.
2*q*(q - 11)
Let -z**2 + 7*z - 12 = 0. Calculate z.
3, 4
Factor f**4/5 - f**3/5 - 2*f**2 - 8*f/5.
f*(f - 4)*(f + 1)*(f + 2)/5
Find x such that -21*x**5 - 45*x**4 + 117*x**3 + 93*x**2 - 252*x + 108 = 0.
-3, -2, 6/7, 1
Let u**4/3 - u**3/6 - 5*u**2/6 - u/3 = 0. What is u?
-1, -1/2, 0, 2
Suppose v**4/8 + 127*v**3/8 + 989*v**2/2 - 704*v - 6144 = 0. What is v?
-64, -3, 4
Find v, given that -2*v**4/5 - 2184*v**3 - 4471740*v**2 - 4069283400*v - 1388642960250 = 0.
-1365
Factor 32*p**5/3 - 65*p**4/6 + p**3/6.
p**3*(p - 1)*(64*p - 1)/6
Factor -250*h**4 + 21350*h**3 - 50280*h**2 + 39968*h - 10624.
-2*(h - 83)*(5*h - 4)**3
Factor d**4/3 + 4118*d**3/3 + 4243597*d**2/3 + 2824948*d + 1411788.
(d + 1)**2*(d + 2058)**2/3
Let -2*n**2/7 - 396*n/7 - 19602/7 = 0. Calculate n.
-99
Let 3*x**2 + 396*x + 13068 = 0. Calculate x.
-66
Find g such that 2*g**3 + 34*g**2 = 0.
-17, 0
Factor 2*s**2 - 1868*s + 436178.
2*(s - 467)**2
Find p, given that -8*p**2/3 + 7672*p - 5518086 = 0.
2877/2
Solve -2*b**4/5 - 94*b**3/5 + 954*b**2/5 - 594*b + 3024/5 = 0 for b.
-56, 3
Determine m so that -144*m**3 - 516*m**2 - 520*m - 100 = 0.
-5/3, -1/4
Determine k so that -3*k**5 + 276*k**4 + 1458*k**3 - 276*k**2 - 1455*k = 0.
-5, -1, 0, 1, 97
What is t in -20*t**5 - 75*t**4 + 60*t**3 + 230*t**2 - 240*t + 45 = 0?
-3, 1/4, 1
Factor 2*f**3/3 - 1742*f**2/9 - 388*f/3.
2*f*(f - 291)*(3*f + 2)/9
Let -9*p**3/5 + 6*p**2/5 + 273*p/5 + 18 = 0. Calculate p.
-5, -1/3, 6
Let -9*s**5/2 - 124*s**4 + 326*s**3 - 120*s**2 = 0. What is s?
-30, 0, 4/9, 2
Factor -y**2 - 9*y + 22.
-(y - 2)*(y + 11)
Find w, given that -12*w**5 - 8*w**4 + 40*w**3 - 28*w + 8 = 0.
-2, -1, 1/3, 1
Let 5*d**5/2 - 13*d**4 + 18*d**3 - d**2 - 25*d/2 + 6 = 0. Calculate d.
-4/5, 1, 3
Let -2*v**3 + 128*v**2/3 - 638*v/3 - 484/3 = 0. What is v?
-2/3, 11
Let -d**4/4 - 445*d**3/2 - 66156*d**2 - 6615008*d - 12967168 = 0. What is d?
-296, -2
Find j such that -5*j**4 + 575*j**3 - 2225*j**2 + 525*j + 3330 = 0.
-1, 2, 3, 111
Factor -2*g**2 + 66*g.
-2*g*(g - 33)
What is v in 2*v**4/5 - 52*v**3/5 + 266*v**2/5 = 0?
0, 7, 19
Let 2*j**3/9 - 22*j**2/9 + 20*j/9 = 0. Calculate j.
0, 1, 10
Find s such that -s**3/3 + 19*s**2/3 - 33*s + 27 = 0.
1, 9
Solve 5*k**5 - 40*k**4 + 65*k**3 + 110*k**2 - 160*k - 160 = 0.
-1, 2, 4
Factor -w**4/8 - 5*w**3/8 + 11*w**2 - 26*w.
-w*(w - 4)**2*(w + 13)/8
Let -10*g**2/11 - 232*g/11 - 46/11 = 0. What is g?
-23, -1/5
Determine k, given that -k**2/3 + 257*k/3 + 260 = 0.
-3, 260
Find p, given that -7*p**2 + 93*p - 26 = 0.
2/7, 13
Factor -y**5/3 + 101*y**4/3 - 2392*y**3