(p - 1)*(p + 49)
Factor -2*i**3 - 12*i**2 + 1152*i - 2240.
-2*(i - 20)*(i - 2)*(i + 28)
Factor -6*l**3/7 + 4*l**2 - 40*l/7 + 16/7.
-2*(l - 2)**2*(3*l - 2)/7
Factor -x**3/3 - 251*x**2/3 - 5453*x - 25215.
-(x + 5)*(x + 123)**2/3
Determine v, given that -5*v**4 - 45*v**3 - 115*v**2 - 75*v = 0.
-5, -3, -1, 0
Let -243*l**3 - 1782*l**2 - 4356*l - 10648/3 = 0. What is l?
-22/9
Factor 2*q**2/3 - 14*q - 260/3.
2*(q - 26)*(q + 5)/3
Suppose 4*r**2/5 + 24*r + 324/5 = 0. What is r?
-27, -3
Suppose 4*m**4 + 8*m**3 - 444*m**2 - 448*m + 12544 = 0. Calculate m.
-8, 7
Solve 4*l**2/7 + 864*l/7 + 46656/7 = 0 for l.
-108
Factor -5*a**4 + 110*a**3 - 300*a**2 + 290*a - 95.
-5*(a - 19)*(a - 1)**3
Find g such that 2*g**4 - 8*g**3 - 26*g**2 + 8*g + 24 = 0.
-2, -1, 1, 6
Factor 2*h**3/9 - 14*h**2/9 + 22*h/9 - 10/9.
2*(h - 5)*(h - 1)**2/9
Suppose u**4/4 + 9*u**3/4 - 25*u**2/4 - 33*u/4 = 0. What is u?
-11, -1, 0, 3
Factor 5*y**2 + 6380*y + 6375.
5*(y + 1)*(y + 1275)
Determine i, given that 3*i**3/2 + 81*i**2/2 + 693*i/2 + 1911/2 = 0.
-13, -7
Factor -2*l**2/13 - 68*l/13 + 144/13.
-2*(l - 2)*(l + 36)/13
Suppose -6*v**2 - 914*v/3 + 68 = 0. What is v?
-51, 2/9
Find u such that -u**5 + 2*u**4 + 2*u**3 - 4*u**2 - u + 2 = 0.
-1, 1, 2
Let -2*d**3/13 + 8*d**2/13 = 0. Calculate d.
0, 4
Determine n so that -8*n**5/11 + 26*n**4/11 + 18*n**3/11 - 94*n**2/11 + 70*n/11 - 12/11 = 0.
-2, 1/4, 1, 3
Suppose -15*u**5/2 + 42*u**4 - 72*u**3 + 24*u**2 + 24*u = 0. Calculate u.
-2/5, 0, 2
Factor -s**4/7 + 39*s**3/7 - 26*s**2 - 528*s/7.
-s*(s - 33)*(s - 8)*(s + 2)/7
Let y**3/3 - 77*y**2/3 + 481*y + 507 = 0. Calculate y.
-1, 39
Solve -32*i**4 - 156*i**3 + 20*i**2 = 0.
-5, 0, 1/8
Let -18*p**3/5 + 564*p**2/5 + 382*p/5 + 64/5 = 0. What is p?
-1/3, 32
Factor -2*l**5/5 - 626*l**4/5 - 48038*l**3/5 + 29578*l**2 - 149152*l/5 + 49928/5.
-2*(l - 1)**3*(l + 158)**2/5
Determine b, given that b**3 - 39*b**2 + 38*b = 0.
0, 1, 38
Factor 3*a**2 - 12*a - 15.
3*(a - 5)*(a + 1)
Suppose -2*x**4/21 + 4*x**3/7 - 22*x**2/21 + 4*x/7 = 0. Calculate x.
0, 1, 2, 3
Let -4*z**5/7 - 10*z**4/7 + 34*z**3/7 + 46*z**2/7 - 102*z/7 + 36/7 = 0. Calculate z.
-3, 1/2, 1, 2
Solve 18*u**4/7 - 90*u**3/7 + 148*u**2/7 - 88*u/7 + 16/7 = 0 for u.
1/3, 2/3, 2
Factor 4*v**2/7 - 4*v/7.
4*v*(v - 1)/7
Suppose f**3/4 + 5*f**2/4 - 11*f/2 + 4 = 0. What is f?
-8, 1, 2
Find n such that 3*n**5/2 - 15*n**4 + 117*n**3/2 - 111*n**2 + 102*n - 36 = 0.
1, 2, 3
Suppose -16*g**5/9 + 44*g**4/3 + 304*g**3/9 - 212*g**2/9 - 32*g + 80/9 = 0. Calculate g.
-2, -1, 1/4, 1, 10
Factor -3*i**3/4 + i**2/4 + 2*i + 1.
-(i - 2)*(i + 1)*(3*i + 2)/4
What is j in 2*j**5/11 + 62*j**4/11 + 662*j**3/11 + 2810*j**2/11 + 352*j + 1664/11 = 0?
-13, -8, -1
Determine f so that 2*f**4/9 + 64*f**3/9 - 8*f**2/9 - 256*f/9 = 0.
-32, -2, 0, 2
Solve -51*o**5 + 198*o**4 + 177*o**3 - 492*o**2 - 468*o - 48 = 0.
-1, -2/17, 2, 4
Factor -15*s**4 - 865*s**3 - 12325*s**2 + 4205*s.
-5*s*(s + 29)**2*(3*s - 1)
Find p, given that 3*p**2/2 + 48*p + 93/2 = 0.
-31, -1
Find r, given that -2*r**3 + 14*r**2/9 + 40*r/9 + 8/9 = 0.
-1, -2/9, 2
Factor 3*x**3 + 105*x**2 + 1056*x + 2304.
3*(x + 3)*(x + 16)**2
Determine t so that -16129*t**3 - 17653*t**2 - 1560*t - 36 = 0.
-1, -6/127
Determine a so that 3*a**2/4 - 12*a + 189/4 = 0.
7, 9
Suppose -4*t**3/11 + 378*t**2/11 - 1280*t/11 + 546/11 = 0. Calculate t.
1/2, 3, 91
Let -j**3 + 114*j**2/7 - 452*j/7 + 120/7 = 0. Calculate j.
2/7, 6, 10
Let z**4/7 + 67*z**3/7 - 68*z**2/7 = 0. Calculate z.
-68, 0, 1
Determine d so that d**3 - d**2 - d + 1 = 0.
-1, 1
Solve 5*v**4 + 40*v**3 - 35*v**2 - 250*v + 240 = 0.
-8, -3, 1, 2
Factor -2*i**4/11 + 116*i**3/11 - 1560*i**2/11 - 3600*i/11.
-2*i*(i - 30)**2*(i + 2)/11
Factor -x**2/4 + 27*x/2 + 28.
-(x - 56)*(x + 2)/4
Factor 3*z**2 - 111*z + 1020.
3*(z - 20)*(z - 17)
Let -4*h**2 - 320*h - 316 = 0. Calculate h.
-79, -1
Determine c so that c**2/4 - 95*c/4 + 47/2 = 0.
1, 94
Determine w so that -4*w**3 - 68*w**2 - 288*w = 0.
-9, -8, 0
Factor -m**2 - 117*m - 342.
-(m + 3)*(m + 114)
Determine w so that -2*w**5 + 12*w**4 + 60*w**3 - 32*w**2 - 186*w - 108 = 0.
-3, -1, 2, 9
Factor -77*o**2/3 + 51*o/2 + 1/6.
-(o - 1)*(154*o + 1)/6
Factor j**4/2 - 4*j**2 + 8.
(j - 2)**2*(j + 2)**2/2
Find i, given that -2*i**4/5 + 1426*i**3/5 - 51262*i**2 + 151230*i = 0.
0, 3, 355
Find g, given that 4*g**2 + 80*g - 756 = 0.
-27, 7
Factor -b**5 - 3*b**4 + b**3 + 7*b**2 - 4.
-(b - 1)**2*(b + 1)*(b + 2)**2
Let -j**2 - 57*j - 56 = 0. What is j?
-56, -1
Factor -l**3/9 + 95*l**2/9 + 197*l/9 - 97/3.
-(l - 97)*(l - 1)*(l + 3)/9
Suppose r**4/8 + 143*r**3/8 + 71*r**2/4 = 0. What is r?
-142, -1, 0
Factor 2*b**3 - 22*b**2 + 36*b.
2*b*(b - 9)*(b - 2)
Determine n, given that -3*n**4/5 + 6*n**3/5 = 0.
0, 2
Factor 2*x**2 - 6170*x.
2*x*(x - 3085)
Factor 5*g**2 - 13100*g - 13105.
5*(g - 2621)*(g + 1)
Factor -7*z**3/5 + 44*z**2 - 419*z/5 + 206/5.
-(z - 1)**2*(7*z - 206)/5
Solve -56*v**4 - 1822*v**3 - 15300*v**2 - 7808*v - 1024 = 0 for v.
-16, -2/7, -1/4
Solve t**4/7 + t**3/7 - 18*t**2/7 - 16*t/7 + 32/7 = 0 for t.
-4, -2, 1, 4
Suppose -3*w**5/4 - 29*w**4/4 + 12*w**3 + 11*w**2 = 0. Calculate w.
-11, -2/3, 0, 2
Factor 29*z**2 + 8*z - 21.
(z + 1)*(29*z - 21)
Let 5*o**2 - 2065*o + 2060 = 0. What is o?
1, 412
Factor -t**2 + 17*t + 84.
-(t - 21)*(t + 4)
Solve 4*g**2 + 456*g = 0.
-114, 0
Solve -p**5/6 - 5*p**4/2 - 25*p**3/3 - 35*p**2/3 - 15*p/2 - 11/6 = 0 for p.
-11, -1
Find v, given that -v**4/3 + 16*v**3 - 92*v**2/3 = 0.
0, 2, 46
Let -h**4/7 + 178*h**3/7 - 8601*h**2/7 + 60520*h/7 - 115600/7 = 0. Calculate h.
4, 85
Factor -x**3 - 5*x**2 + 8*x + 12.
-(x - 2)*(x + 1)*(x + 6)
Factor -2*u**2/9 - 662*u/3 - 660.
-2*(u + 3)*(u + 990)/9
Factor f**2/8 + 1509*f/8.
f*(f + 1509)/8
Let -3*p**4 + 160*p**3 - 203*p**2 - 262*p + 104 = 0. Calculate p.
-1, 1/3, 2, 52
Factor -u**2/5 - 17*u/5.
-u*(u + 17)/5
Factor -3*b**2 + 15*b + 18.
-3*(b - 6)*(b + 1)
Solve 4*h**4/7 + 464*h**3/7 - 1416*h**2/7 + 1424*h/7 - 68 = 0.
-119, 1
Factor 10*t**2/9 - 6352*t/9 + 1270/9.
2*(t - 635)*(5*t - 1)/9
Let -361*a**4/6 - 1729*a**3/6 - 895*a**2/3 + 218*a/3 - 4 = 0. Calculate a.
-3, -2, 2/19
Solve -78*g**3 + 183*g**2 - 48*g - 12 = 0 for g.
-2/13, 1/2, 2
Solve 3*i**4 - 27*i**3 - 99*i**2 - 105*i - 36 = 0.
-1, 12
Find z such that 2*z**4/7 - 44*z**3/7 + 174*z**2/7 - 52*z/7 - 272/7 = 0.
-1, 2, 4, 17
Factor -a**2 - 70*a + 71.
-(a - 1)*(a + 71)
Factor 3*d**3 - 33*d**2 + 57*d - 27.
3*(d - 9)*(d - 1)**2
Factor 4*a**2 - 36*a + 56.
4*(a - 7)*(a - 2)
Factor -15*g**4/4 + 23*g**3/4 - g**2/4 - 7*g/4.
-g*(g - 1)**2*(15*g + 7)/4
Suppose 5*v**5 - 105*v**4 - 485*v**3 - 395*v**2 + 480*v + 500 = 0. Calculate v.
-2, -1, 1, 25
Factor 2*k**3 + 40*k**2 - 184*k + 192.
2*(k - 2)**2*(k + 24)
Factor -k**3 + 128*k**2 + 524*k + 528.
-(k - 132)*(k + 2)**2
Let -b**3/7 - 16*b**2/7 + b/7 + 16/7 = 0. What is b?
-16, -1, 1
Solve 2*y**3/9 + 4*y**2/3 + 8*y/3 + 16/9 = 0 for y.
-2
Find d, given that -14*d**3 - 20*d**2 + 258*d + 576 = 0.
-3, 32/7
Factor 2*y**2 - 13876*y.
2*y*(y - 6938)
Determine f, given that 2*f**4/21 - 10*f**3/7 + 20*f**2/3 - 80*f/7 + 128/21 = 0.
1, 2, 4, 8
Determine k so that 2*k**4/9 - 2*k**3 + 10*k**2/3 + 50*k/9 = 0.
-1, 0, 5
Determine z so that 2*z**4/3 + 6*z**3 - 2*z**2/3 - 6*z = 0.
-9, -1, 0, 1
Determine o so that 14*o**5 + 48*o**4/5 - 272*o**3/5 - 192*o**2/5 - 32*o/5 = 0.
-2, -2/5, -2/7, 0, 2
Determine w, given that -605*w**2 + 11220*w - 52020 = 0.
102/11
Factor -4*v**2 - 808*v.
-4*v*(v + 202)
Let m**5/4 - 19*m**3/2 + 21*m**2 + 37*m/4 - 21 = 0. What is m?
-7, -1, 1, 3, 4
Suppose 57*s**3 + 459*s**2 + 879*s + 45 = 0. Calculate s.
-5, -3, -1/19
Suppose -60*a**2 - 455*a - 145 = 0. Calculate a.
-29/4, -1/3
Determine i, given that -2*i**3/11 - 100*i**2/11 + 318*i/11 = 0.
-53, 0, 3
What is v in -v**3/5 + 13*v**2/5 + 14*v/5 = 0?
-1, 0, 14
Determine s so that -3*s**4 + 21*s**3 + 579*s**2 - 1209*s + 612 = 0.
-12, 1, 17
Suppose 58*h**3/19 - 4*h**2/19 = 0. Calculate h.
0, 2/29
Determine n, given that 14*n**4 + 120*n**3 + 288*n**2 + 128*n = 0.
-4, -4/7, 0
Find t, given that 84*t**5 - 123*t**4 - 882*t**3 - 93*t**2 + 798*t + 216 = 0.
-9/4, -1, -2/7, 1, 4
Suppose -2*d**3 - 4*d**2 + 22*d + 24 = 0. Calculate d.
-4, -1, 3
Factor 2*h**3/5 + 6*h**2 + 96*h/5 - 128/5.
2*(h - 1)*(h + 8)**2/5
Factor -2*r**2 - 7348*r - 6749138.
-2*(r + 1837)**2
Factor y**4 + 92*y**3 + 172*y