6
Factor -k**5/2 - 32*k**4 - 152*k**3 - 269*k**2 - 415*k/2 - 59.
-(k + 1)**3*(k + 2)*(k + 59)/2
Factor l**2/5 - 134*l/5 - 272/5.
(l - 136)*(l + 2)/5
Factor -k**3/5 - 10*k**2 - 448*k/5 + 4704/5.
-(k - 6)*(k + 28)**2/5
Factor -2*k**5 - 4*k**4 + 48*k**3 - 32*k**2 - 160*k + 192.
-2*(k - 2)**3*(k + 2)*(k + 6)
Let -q**2/6 + 1756*q - 4625304 = 0. What is q?
5268
What is c in -4*c**3 + 276*c**2 + 856*c + 576 = 0?
-2, -1, 72
Find b, given that -5*b**3 - 1450*b**2 - 2880*b = 0.
-288, -2, 0
Solve -2*i**3/3 + 64*i**2/3 + 440*i/3 + 608/3 = 0.
-4, -2, 38
Factor x**4/3 - 16*x**3/3 - 16*x**2 + 384*x.
x*(x - 12)**2*(x + 8)/3
Factor 4*j**2 + 332*j - 2520.
4*(j - 7)*(j + 90)
Factor 5*x**3 + 65*x**2 + 50*x - 120.
5*(x - 1)*(x + 2)*(x + 12)
Factor 2*s**4 - 16*s**3 + 30*s**2 + 16*s - 32.
2*(s - 4)**2*(s - 1)*(s + 1)
Find j such that -3*j**3 + 11637*j**2 - 15046641*j + 6485102271 = 0.
1293
Let 54*o**4 + 2802*o**3 + 5156*o**2 + 2808*o + 400 = 0. What is o?
-50, -1, -2/3, -2/9
Solve 2*p**2/15 - 2176*p/15 + 591872/15 = 0 for p.
544
Factor 2*q**3/9 - 188*q**2/9 - 578*q/9 - 388/9.
2*(q - 97)*(q + 1)*(q + 2)/9
What is l in -4*l**3 - 940*l**2 + 952*l + 1888 = 0?
-236, -1, 2
Factor g**5/4 - 11*g**3/4 - 9*g**2/2 - 2*g.
g*(g - 4)*(g + 1)**2*(g + 2)/4
Factor 5*f**2 - 65*f + 150.
5*(f - 10)*(f - 3)
Let -l**3/7 - 2*l**2/7 = 0. What is l?
-2, 0
Factor 2*k**3 - 150*k**2 + 136*k + 888.
2*(k - 74)*(k - 3)*(k + 2)
Determine s so that s**3 + 11*s**2 + 39*s + 45 = 0.
-5, -3
Let -3*z**3 - 12*z**2 - 3*z + 18 = 0. Calculate z.
-3, -2, 1
Factor 3*s**3/7 + 12*s**2/7 + 3*s/7 - 18/7.
3*(s - 1)*(s + 2)*(s + 3)/7
Factor -o**2 + 13*o - 12.
-(o - 12)*(o - 1)
Factor -2*c**2 - 36*c + 350.
-2*(c - 7)*(c + 25)
Factor 5*d**2 - 2585*d + 2580.
5*(d - 516)*(d - 1)
Determine v so that v**5/2 + 49*v**4/4 + 61*v**3/4 - 181*v**2/4 + 69*v/4 = 0.
-23, -3, 0, 1/2, 1
Find m such that -m**2/9 + 68*m/9 - 1156/9 = 0.
34
Solve -2*b**5/5 + 7*b**4/5 + 6*b**3/5 - 31*b**2/5 + 8*b/5 + 12/5 = 0 for b.
-2, -1/2, 1, 2, 3
What is q in 2*q**4/3 + 4*q**3/3 - 2*q**2/3 - 4*q/3 = 0?
-2, -1, 0, 1
Factor 4*x**4 - 132*x**3 - 12*x**2 + 388*x + 264.
4*(x - 33)*(x - 2)*(x + 1)**2
Find f, given that -98*f**2/17 + 2268*f/17 - 13122/17 = 0.
81/7
Find a, given that -a**2/3 - 5*a - 26/3 = 0.
-13, -2
Factor 2*w**2/5 + 7856*w/5 + 7714592/5.
2*(w + 1964)**2/5
What is k in 4*k**5 - 48*k**4 - 180*k**3 - 16*k**2 + 240*k = 0?
-2, 0, 1, 15
Factor -2*h**2/11 - 5118*h/11 - 5116/11.
-2*(h + 1)*(h + 2558)/11
Solve -v**3 - 5*v**2 - 7*v - 3 = 0.
-3, -1
Determine y, given that y**4/2 - 3*y**3/2 - 89*y**2/2 + 3*y/2 + 44 = 0.
-8, -1, 1, 11
Suppose f**3/6 - 37*f**2/2 + 1045*f/2 - 3025/6 = 0. What is f?
1, 55
Determine s so that -3*s**3 + 33*s**2 + 138*s - 168 = 0.
-4, 1, 14
Let 7*x**5 + 982*x**4 + 34573*x**3 + 8818*x**2 - 34580*x - 9800 = 0. What is x?
-70, -1, -2/7, 1
Let 2*w**2 - 10*w = 0. What is w?
0, 5
What is t in 6*t**5 - 320*t**4 + 1594*t**3 - 2824*t**2 + 1928*t - 384 = 0?
1/3, 1, 2, 48
Factor y**2/6 + 187*y/3 - 4235/6.
(y - 11)*(y + 385)/6
Factor -5*i**4 - 550*i**3 - 1605*i**2.
-5*i**2*(i + 3)*(i + 107)
Factor a**4/11 - 2*a**3/11.
a**3*(a - 2)/11
Factor -w**5/5 - 12*w**4/5 - 22*w**3/5 + 84*w**2/5 - 49*w/5.
-w*(w - 1)**2*(w + 7)**2/5
Let -3*h**5/2 - 983*h**4 + 3947*h**3/6 + 1202*h**2 - 438*h - 1312/3 = 0. Calculate h.
-656, -2/3, 1
Factor z**3/9 - 16*z**2/9 + 5*z/3.
z*(z - 15)*(z - 1)/9
Factor 2*z**5 + 10*z**4 - 28*z**3.
2*z**3*(z - 2)*(z + 7)
Solve -3*u**4/5 + 3*u**3/5 + 12*u**2/5 - 12*u/5 = 0.
-2, 0, 1, 2
Factor t**3/2 - 5*t**2/2 - 56*t + 352.
(t - 8)**2*(t + 11)/2
Suppose 5*r**3 - 175*r**2 - 5*r + 175 = 0. What is r?
-1, 1, 35
Determine p so that p**3/3 + 6*p**2 + 15*p = 0.
-15, -3, 0
Determine i, given that -2*i**3 - 30*i**2 - 76*i - 48 = 0.
-12, -2, -1
Factor -2*o**3/7 + 102*o**2/7 - 1734*o/7 + 9826/7.
-2*(o - 17)**3/7
Factor -5*n**2/6 - 4*n - 14/3.
-(n + 2)*(5*n + 14)/6
Factor f**4/6 - 2*f**3 + 43*f**2/6 - 10*f + 14/3.
(f - 7)*(f - 2)**2*(f - 1)/6
Solve 50*d**2 - 136*d + 72 = 0.
18/25, 2
Solve -9*j**5 + 10*j**4 + 143*j**3 + 164*j**2 - 20*j = 0 for j.
-2, 0, 1/9, 5
Let 3*x**4 - 45*x**3 - 9*x**2 + 141*x - 90 = 0. Calculate x.
-2, 1, 15
Determine v so that 36*v**5/7 + 876*v**4/7 + 160*v**3 + 368*v**2/7 = 0.
-23, -2/3, 0
What is c in -2*c**2/7 - 2*c - 24/7 = 0?
-4, -3
What is r in -3*r**3/7 - 48*r**2/7 - 117*r/7 = 0?
-13, -3, 0
Let -c**3 + 21*c**2 - 99*c - 121 = 0. Calculate c.
-1, 11
Suppose -2*l**5/3 + 90*l**4 + 1102*l**3/3 + 462*l**2 + 556*l/3 = 0. Calculate l.
-2, -1, 0, 139
What is s in -2*s**3 + 24*s**2 + 86*s + 60 = 0?
-2, -1, 15
Let 3*u**5/2 - 153*u**4/2 + 1845*u**3/2 + 3405*u**2/2 - 8424*u - 9126 = 0. Calculate u.
-3, -1, 3, 26
Factor 20*f**4 + 624*f**3 - 516*f**2 - 128*f.
4*f*(f - 1)*(f + 32)*(5*f + 1)
Factor 72*f**4 + 57*f**3 + 6*f**2.
3*f**2*(3*f + 2)*(8*f + 1)
Suppose 16*n**5/5 + 6*n**4 - 52*n**3/5 + 6*n**2/5 = 0. Calculate n.
-3, 0, 1/8, 1
Factor 5*q**2 - 4320*q + 933120.
5*(q - 432)**2
Suppose k**2 + 43*k + 82 = 0. What is k?
-41, -2
Factor -2*u**5 + 104*u**4 + 448*u**3 + 32*u**2 - 1760*u - 1792.
-2*(u - 56)*(u - 2)*(u + 2)**3
Factor 5*h**3 + 680*h**2 + 5200*h + 10240.
5*(h + 4)**2*(h + 128)
Factor 8*z**2 - 4756*z - 2380.
4*(z - 595)*(2*z + 1)
Let -3*f**3/5 + 6*f**2/5 = 0. What is f?
0, 2
Solve -a**3/8 + 43*a/8 + 21/4 = 0 for a.
-6, -1, 7
Factor 84*v**2/5 - 15882*v/5 + 1134/5.
6*(v - 189)*(14*v - 1)/5
Determine n, given that 3*n**5 - 120*n**4 - 249*n**3 - 126*n**2 = 0.
-1, 0, 42
Find v, given that -v**3/3 - 16*v**2/3 - 77*v/3 - 98/3 = 0.
-7, -2
Suppose -x**5 - 42*x**4 - 81*x**3 - 40*x**2 = 0. Calculate x.
-40, -1, 0
Let 5*x**3 + 30*x**2 - 20*x - 120 = 0. Calculate x.
-6, -2, 2
Find q such that 2*q**2 + 12*q + 16 = 0.
-4, -2
Find u, given that -240*u**5 - 69*u**4 + 141*u**3 - 30*u**2 = 0.
-1, 0, 5/16, 2/5
Solve -2*u**3/9 - 7142*u**2/9 + 28592*u/9 - 28600/9 = 0 for u.
-3575, 2
Factor 5*y**2/4 - 95*y/4.
5*y*(y - 19)/4
Determine i, given that i**5/11 - 106*i**4/11 - 112*i**3/11 + 538*i**2/11 - 321*i/11 = 0.
-3, 0, 1, 107
Determine b, given that -2*b**2 - 714*b = 0.
-357, 0
Suppose c**5/2 - 7*c**4 - 29*c**3 + 52*c**2 + 273*c/2 - 153 = 0. Calculate c.
-3, 1, 2, 17
Let 4*n**4/3 - 272*n**3/3 - 16*n**2/3 + 1088*n/3 = 0. Calculate n.
-2, 0, 2, 68
Determine p, given that -5*p**5 + 35*p**4 + 150*p**3 = 0.
-3, 0, 10
Let -4*v**5 + 80*v**4 + 88*v**3 - 80*v**2 - 84*v = 0. What is v?
-1, 0, 1, 21
Suppose -3*x**2/4 + 63*x/4 = 0. What is x?
0, 21
Factor -2*a**2/3 - 80*a - 2400.
-2*(a + 60)**2/3
Suppose -4*z**5 - 12*z**4 + 28*z**3 + 44*z**2 - 24*z - 32 = 0. What is z?
-4, -1, 1, 2
Factor r**2/4 + 11*r/2 - 23/4.
(r - 1)*(r + 23)/4
Determine l, given that l**5/7 + 4*l**4/7 = 0.
-4, 0
Factor 2*j**4/17 + 14*j**3/17.
2*j**3*(j + 7)/17
Let f**5/4 - f**4/4 - 5*f**3/4 - 3*f**2/4 = 0. Calculate f.
-1, 0, 3
Factor 102*a**3 - 609*a**2 + 900*a + 27.
3*(a - 3)**2*(34*a + 1)
Suppose 85*j**5 - 350*j**4 + 295*j**3 - 30*j**2 = 0. What is j?
0, 2/17, 1, 3
Let -3*u**5 + 15*u**4 - 6*u**3 - 42*u**2 + 9*u + 27 = 0. What is u?
-1, 1, 3
Suppose n**3 - 52*n**2/5 + 84*n/5 + 288/5 = 0. What is n?
-8/5, 6
Factor o**2 + 336*o + 668.
(o + 2)*(o + 334)
Solve -75*u**5 + 2730*u**4 - 33483*u**3 + 142668*u**2 - 53136*u + 5184 = 0.
1/5, 12
Factor -2*v**4/9 - 8*v**3/3 + 40*v**2/3 + 1600*v/9.
-2*v*(v - 8)*(v + 10)**2/9
What is n in n**3/9 - 2*n**2/9 - 32*n/9 + 32/3 = 0?
-6, 4
Find a such that a**3/2 + 47*a**2/10 + 29*a/5 + 8/5 = 0.
-8, -1, -2/5
Determine a, given that 2*a**3 + 10*a**2 - 44*a - 112 = 0.
-7, -2, 4
Solve j**3 - 444*j**2 - 891*j - 446 = 0.
-1, 446
Suppose -2*j**3 + 14*j**2 - 22*j + 10 = 0. Calculate j.
1, 5
What is m in -m**2 - 2*m - 1 = 0?
-1
Factor -4*p**4 + 20*p**3 - 24*p**2 - 16*p + 32.
-4*(p - 2)**3*(p + 1)
Find z, given that -z**3/3 + z - 2/3 = 0.
-2, 1
Factor -2*n**5 - 288*n**4 - 14370*n**3 - 273332*n**2 - 1282296*n - 1752048.
-2*(n + 3)**2*(n + 46)**3
Factor -3*l**3 - 1857*l**2 + 1860*l.
-3*l*(l - 1)*(l + 620)
Suppose -6*x**3 - 287*x**2/2 - 255*x/2 - 23 = 0. What is x?
-23, -2/3, -1/4
Factor -3*y**2 + 12*y + 231.
-3*(y - 11)*(y + 7)
Find t, given that 2*t**2/3 - 204*t - 614/3 = 0.
-1, 307
Solve -h**3 - 509*h**2 - 64515*h + 65025 = 0 for h.
-255, 1
Determine d, given that 5*d**5 + 125*d**4 - 270*d**3 = 0.
-27, 0, 2
Let 3*p**4/8 + 3*p**3/4 - 3*p**2/2 - 3*p/4 + 9/8 = 