 + 144)**2
Solve -b**3/4 - 36*b**2 - 143*b/4 = 0 for b.
-143, -1, 0
Factor 5*l**3 - 30*l**2 - 135*l.
5*l*(l - 9)*(l + 3)
Factor -75*g**2 - 10*g.
-5*g*(15*g + 2)
Suppose 5*x**2/2 + 16*x + 6 = 0. Calculate x.
-6, -2/5
Factor g**3 - 681*g**2 + 116280*g - 115600.
(g - 340)**2*(g - 1)
Suppose -44*v**4 + 1984*v**3 - 2028*v**2 - 3704*v + 352 = 0. Calculate v.
-1, 1/11, 2, 44
Factor 4*f**3/9 + 968*f**2/9 + 956*f/3.
4*f*(f + 3)*(f + 239)/9
Factor 2*j**2/7 + 18*j/7 + 40/7.
2*(j + 4)*(j + 5)/7
Solve -4*d**5 + 16*d**4 + 28*d**3 - 88*d**2 - 96*d = 0.
-2, -1, 0, 3, 4
Factor -20*c**3 - 15552*c**2 - 3020196*c + 1210568.
-4*(c + 389)**2*(5*c - 2)
Suppose h**3 - 32*h**2 - h + 32 = 0. Calculate h.
-1, 1, 32
Factor 9604*i**3 + 784*i**2 + 16*i.
4*i*(49*i + 2)**2
Factor -n**3 + 15*n**2 - 27*n - 243.
-(n - 9)**2*(n + 3)
Factor 2*w**3 - 340*w**2 + 13746*w + 60552.
2*(w - 87)**2*(w + 4)
Determine k so that -27*k**2 + 438*k + 357 = 0.
-7/9, 17
Factor -l**2/4 + 93*l/2.
-l*(l - 186)/4
Determine j, given that -j**2/8 - 2*j + 17/8 = 0.
-17, 1
Factor -p**2 - 107*p - 412.
-(p + 4)*(p + 103)
Factor 2*o**4 + 228*o**3 + 6938*o**2 + 25080*o + 24200.
2*(o + 2)**2*(o + 55)**2
Factor -20*x**3 - 65*x**2 + 65*x + 20.
-5*(x - 1)*(x + 4)*(4*x + 1)
Let -2*a**3/23 + 206*a**2/23 - 5406*a/23 + 5202/23 = 0. Calculate a.
1, 51
Factor -3*h**3 - 54*h**2 + 117*h - 60.
-3*(h - 1)**2*(h + 20)
Factor 2*r**2/17 + 38*r/17 + 36/17.
2*(r + 1)*(r + 18)/17
Suppose 4*c**4 - 296*c**3 - 912*c**2 - 920*c - 308 = 0. What is c?
-1, 77
Let 348*c**2 - 92*c - 8 = 0. What is c?
-2/29, 1/3
Factor 2*m**3/11 + 42*m**2/11 + 144*m/11 + 136/11.
2*(m + 2)**2*(m + 17)/11
Factor -2*j**3/7 + 226*j**2/7.
-2*j**2*(j - 113)/7
Factor 4*t**5/5 + 68*t**4/5 - 312*t**3/5 + 488*t**2/5 - 332*t/5 + 84/5.
4*(t - 1)**4*(t + 21)/5
Factor 836*k**2/5 - 332*k - 24/5.
4*(k - 2)*(209*k + 3)/5
Let -180*i**5/7 - 328*i**4/7 + 620*i**3/7 - 64*i**2/7 - 48*i/7 = 0. Calculate i.
-3, -2/9, 0, 2/5, 1
Factor -9*u**3/7 - 22*u**2/7 - 17*u/7 - 4/7.
-(u + 1)**2*(9*u + 4)/7
Factor 10*f**4 - 974*f**3 + 32064*f**2 - 370688*f + 458752.
2*(f - 32)**3*(5*f - 7)
Factor 3*v**3/7 + 3*v**2 + 45*v/7 + 27/7.
3*(v + 1)*(v + 3)**2/7
Factor b**5 - 22*b**4 + 76*b**3 - 72*b**2.
b**2*(b - 18)*(b - 2)**2
Factor 2*m**5 + 176*m**4/13 - 42*m**3/13.
2*m**3*(m + 7)*(13*m - 3)/13
Find l such that -2*l**3 + 4*l**2/3 + 14*l/3 + 4/3 = 0.
-1, -1/3, 2
Determine p, given that -4*p**4 + 40*p**3 - 100*p**2 = 0.
0, 5
Find g such that 6*g**2 + 1503*g/2 + 375/2 = 0.
-125, -1/4
Factor 2*p**3 - 152*p**2 - 310*p - 156.
2*(p - 78)*(p + 1)**2
Factor -g**2/5 - 8*g - 76/5.
-(g + 2)*(g + 38)/5
What is j in 2*j**2 - 2*j = 0?
0, 1
Factor l**4/8 + 5*l**3/2 - 93*l**2/8 + 9*l.
l*(l - 3)*(l - 1)*(l + 24)/8
Solve 3*s**2 + 99*s + 96 = 0.
-32, -1
Find f, given that 2*f**2 - 230*f - 1200 = 0.
-5, 120
Let -3*c**2/7 - 75*c/7 - 300/7 = 0. What is c?
-20, -5
What is d in d**3/2 + 471*d**2 + 147894*d + 15479572 = 0?
-314
Factor z**2/2 - 689*z/2 + 344.
(z - 688)*(z - 1)/2
Determine f, given that 8*f**4/13 + 62*f**3/13 + 24*f**2/13 - 410*f/13 + 100/13 = 0.
-5, 1/4, 2
Factor y**3/3 + 115*y**2/3 + 112*y/3 - 76.
(y - 1)*(y + 2)*(y + 114)/3
Factor 16*y**2 - 118*y + 132.
2*(y - 6)*(8*y - 11)
Factor c**2/5 - 246*c/5 + 49.
(c - 245)*(c - 1)/5
Determine v, given that -10*v**4 + 128*v**3 - 204*v**2 + 64*v + 22 = 0.
-1/5, 1, 11
Factor -j**3/4 - 1125*j**2/2 - 316968*j - 631688.
-(j + 2)*(j + 1124)**2/4
Factor 2*x**5 - 6*x**4 + 4*x**3.
2*x**3*(x - 2)*(x - 1)
Factor -3*m**2 - 1284*m - 137388.
-3*(m + 214)**2
Find p, given that 5*p**5 - 50*p**4 - 820*p**3 - 3330*p**2 - 5265*p - 2700 = 0.
-3, -1, 20
Find h such that -h**2 + 114*h - 749 = 0.
7, 107
Determine n, given that n**3 + 18*n**2 + 96*n + 160 = 0.
-10, -4
Determine m so that -3*m**5/5 - 87*m**4/5 + 18*m**3/5 + 498*m**2/5 - 687*m/5 + 261/5 = 0.
-29, -3, 1
Let 3*j**3 + 3*j**2 - 60*j = 0. Calculate j.
-5, 0, 4
Solve 3*k**4 - 6*k**3 - 21*k**2 + 24*k + 36 = 0.
-2, -1, 2, 3
Factor 6*l**3 - 243*l**2 + 120*l.
3*l*(l - 40)*(2*l - 1)
Let w**2/5 + 611*w/5 = 0. Calculate w.
-611, 0
Factor f**3/5 - 58*f**2/5 + 713*f/5 + 3844/5.
(f - 31)**2*(f + 4)/5
What is n in -2*n**2/11 + 14*n/11 + 36 = 0?
-11, 18
Factor -132*w**3 + 1972*w**2 + 4608*w + 272.
-4*(w - 17)*(w + 2)*(33*w + 2)
Factor z**3 - 2*z**2 - 8*z.
z*(z - 4)*(z + 2)
Factor 8*k**5 + 52*k**4 + 241*k**3/2 + 115*k**2 + 38*k + 4.
(k + 2)**3*(4*k + 1)**2/2
Let -5*n**4/2 - 15*n**3 + 305*n**2/2 + 165*n = 0. What is n?
-11, -1, 0, 6
Factor -3*l**4/5 + 249*l**3/5 - 7047*l**2/5 + 72171*l/5 - 118098/5.
-3*(l - 27)**3*(l - 2)/5
Suppose 8*p**5 + 58*p**4 - 298*p**3 + 346*p**2 - 70*p - 44 = 0. What is p?
-11, -1/4, 1, 2
Suppose g**3/8 - 7*g**2/4 - g/8 + 7/4 = 0. Calculate g.
-1, 1, 14
Determine w so that -2*w**2/23 + 34*w/23 + 36/23 = 0.
-1, 18
Determine r, given that -2*r**3 + 292*r**2 - 1126*r - 1420 = 0.
-1, 5, 142
Factor -3*u**4 + 546*u**3 - 24840*u**2 - 546*u + 24843.
-3*(u - 91)**2*(u - 1)*(u + 1)
Factor -2*d**2/7 - 292*d - 74606.
-2*(d + 511)**2/7
Factor -h**4 - 279*h**3 + 1994*h**2 - 2304*h - 4576.
-(h - 4)**2*(h + 1)*(h + 286)
Let -92*n**2 - 100*n - 8 = 0. What is n?
-1, -2/23
Determine c so that -c**2/2 - 26*c + 53/2 = 0.
-53, 1
Factor -j**3/6 + 3*j**2/2 - 10*j/3 + 2.
-(j - 6)*(j - 2)*(j - 1)/6
Factor 2*l**4 - 16*l**3 + 36*l**2 - 54.
2*(l - 3)**3*(l + 1)
Suppose z**4/3 + z**3 - 3*z**2 - 9*z = 0. Calculate z.
-3, 0, 3
Let 5*s**4/4 - 18*s**3 + 7*s**2 = 0. Calculate s.
0, 2/5, 14
Factor 3*r**5/7 + 27*r**4/7 + 6*r**3 - 6*r**2/7 - 45*r/7 - 3.
3*(r - 1)*(r + 1)**3*(r + 7)/7
Factor -3*s**4 - 27*s**3 - 45*s**2 + 75*s.
-3*s*(s - 1)*(s + 5)**2
Factor -7*f**4 - 254*f**3 - 72*f**2.
-f**2*(f + 36)*(7*f + 2)
Factor -x**4/3 - 13*x**3/3 + 16*x**2.
-x**2*(x - 3)*(x + 16)/3
Suppose 4*y**3 - 80*y**2 - 708*y - 1296 = 0. Calculate y.
-4, -3, 27
Factor p**2/2 + 5*p/2 - 7.
(p - 2)*(p + 7)/2
Let -3*i**4/8 - 759*i**3/8 - 2259*i**2/8 - 2253*i/8 - 375/4 = 0. What is i?
-250, -1
Factor 4*b**3 + 2430*b**2 + 4857*b/4 + 607/4.
(b + 607)*(4*b + 1)**2/4
Solve -3*w**4 + 30*w**3 - 63*w**2 - 12*w + 84 = 0 for w.
-1, 2, 7
Factor 5*n**3 - 50*n**2 + 165*n - 180.
5*(n - 4)*(n - 3)**2
Factor n**3 - 10*n**2 - 23*n - 12.
(n - 12)*(n + 1)**2
Find c, given that -2*c**3/7 - 142*c**2/7 + 594*c/7 - 450/7 = 0.
-75, 1, 3
Factor -2*t**5/11 + 10*t**4/11 - 16*t**3/11 + 8*t**2/11.
-2*t**2*(t - 2)**2*(t - 1)/11
Factor l**4/2 - 3*l**3/2 + 2*l.
l*(l - 2)**2*(l + 1)/2
Let w**4/2 + 2*w**3 - 29*w**2/2 + 12*w = 0. What is w?
-8, 0, 1, 3
Determine y so that 2*y**3/15 - 68*y**2/15 + 22*y/5 = 0.
0, 1, 33
Find u, given that u**3/8 + 15*u**2/4 - 169*u/8 + 105/4 = 0.
-35, 2, 3
Determine u so that -2*u**5/21 - 16*u**4/3 - 1676*u**3/21 - 144*u**2 - 486*u/7 = 0.
-27, -1, 0
Solve -5*l**2/4 - 325*l/4 - 80 = 0 for l.
-64, -1
Factor 5*r**4 - 350*r**3 + 6445*r**2 - 10540*r - 17340.
5*(r - 34)**2*(r - 3)*(r + 1)
Find j such that -3*j**3 - 33*j**2 - 72*j = 0.
-8, -3, 0
What is b in -3*b**4/5 - 252*b**3 + 7641*b**2/5 - 2298*b + 5112/5 = 0?
-426, 1, 4
Determine q so that -4*q**2/3 - 1300*q/3 - 432 = 0.
-324, -1
Factor -r**2 + 3312*r - 2742336.
-(r - 1656)**2
Suppose -3*q**2 - 72*q + 243 = 0. Calculate q.
-27, 3
Solve m**5/4 - 21*m**4/4 + 155*m**3/4 - 435*m**2/4 + 36*m + 189 = 0 for m.
-1, 3, 6, 7
Find j such that 5*j**3 + 5*j**2 - 100*j = 0.
-5, 0, 4
Suppose 3*j**3 + 264*j**2 - 537*j + 270 = 0. What is j?
-90, 1
Factor 2*g**3 - 66*g**2 - 482*g + 546.
2*(g - 39)*(g - 1)*(g + 7)
Determine k, given that 2*k**2 - 36*k + 162 = 0.
9
Determine x so that -14*x**5/11 + 172*x**4/11 + 848*x**3/11 - 256*x**2/11 = 0.
-4, 0, 2/7, 16
Factor -2*r**2 + 4*r - 2.
-2*(r - 1)**2
Determine r so that -3*r**3 - 84*r**2 - 471*r - 630 = 0.
-21, -5, -2
Factor -d**2/3 + 10808*d/3 - 29203216/3.
-(d - 5404)**2/3
Factor -2*z**3/3 - 26*z**2/3 - 8*z.
-2*z*(z + 1)*(z + 12)/3
Find x, given that 4*x**5 - 28*x**4 + 8*x**3 + 256*x**2 - 384*x = 0.
-3, 0, 2, 4
Factor -2*q**2/13 - 412*q/13 - 21218/13.
-2*(q + 103)**2/13
What is v in -10*v**2/13 + 1434*v/13 - 44 = 0?
2/5, 143
Let -v**3/9 - 185*v**2/9 - 8075*v/9 + 45125/9 = 0. What is v?
-95, 5
Factor 2*c**4 - 6*c**2 - 4*c.
2*c*(c - 2)*(c + 1)**2
Factor 2*d**3/5 + 12*d**2/5 - 22*d.
2*d*(d - 5)*(d + 11)/5
Factor 3*v**5 + 11418*v**4 + 16302042*v**3 + 10353582648*v**2 + 2474465554827*v + 4907647012806.
3*(