*q**3 - 353*q**2/4 + 269*q/2 - 40.
(q - 16)*(4*q - 5)*(5*q - 2)/4
Let -5*v**3 - 1440*v**2 - 2865*v - 1430 = 0. Calculate v.
-286, -1
Factor m**5/4 - 5*m**4/2 - 3*m**3/4 + 62*m**2 - 140*m.
m*(m - 7)*(m - 4)**2*(m + 5)/4
Solve 5*d**2 - 10*d = 0.
0, 2
Let t**5/7 - 5*t**3/7 + 4*t/7 = 0. What is t?
-2, -1, 0, 1, 2
Determine o, given that 15*o**3 - 20904*o**2 - 29289*o - 8370 = 0.
-1, -2/5, 1395
What is y in -15*y**2 - 996*y - 396 = 0?
-66, -2/5
Factor t**3/3 - 65*t**2 + 129*t - 193/3.
(t - 193)*(t - 1)**2/3
Factor -4*d**2/7 - 248*d/7.
-4*d*(d + 62)/7
Let 446*d**2/5 - 4*d/5 = 0. What is d?
0, 2/223
Factor -6*n**3 - 1114*n**2 - 738*n + 370.
-2*(n + 1)*(n + 185)*(3*n - 1)
Suppose -20*m**2 - 2535*m + 5805 = 0. Calculate m.
-129, 9/4
Solve 5*d**2 - 3675*d - 3680 = 0.
-1, 736
Suppose 20*u**3 + 120*u**2 + 105*u + 25 = 0. What is u?
-5, -1/2
Let 5*s**2 + 10*s - 40 = 0. What is s?
-4, 2
Factor f**5 + 28*f**4 + 94*f**3 - 1428*f**2 + 2601*f.
f*(f - 3)**2*(f + 17)**2
Determine f, given that f**5/7 - 13*f**3/7 + 12*f**2/7 = 0.
-4, 0, 1, 3
Factor -5*w**2 + 10285*w + 10290.
-5*(w - 2058)*(w + 1)
Solve -w**5/7 + 2*w**4/7 - 2*w**2/7 + w/7 = 0.
-1, 0, 1
Factor -2*p**3 - 86*p**2 - 84*p.
-2*p*(p + 1)*(p + 42)
Find v such that v**2 + 7*v - 1110 = 0.
-37, 30
Factor -26*b**2/5 + 628*b/5 - 96/5.
-2*(b - 24)*(13*b - 2)/5
Determine v, given that 24*v**5 + 38*v**4/3 - 58*v**3 + 24*v**2 - 8*v/3 = 0.
-2, 0, 2/9, 1/4, 1
Let 1382*r**3 - 4*r**2 - 1382*r + 4 = 0. What is r?
-1, 2/691, 1
Determine i so that -4*i**3 - 72*i**2 - 320*i = 0.
-10, -8, 0
Factor k**5 + 63*k**4 + 959*k**3 - 1087*k**2 - 960*k + 1024.
(k - 1)**2*(k + 1)*(k + 32)**2
Factor -2*q**2/19 + 20*q/19 + 112/19.
-2*(q - 14)*(q + 4)/19
Find i such that -i**2/5 - i + 14/5 = 0.
-7, 2
Factor 5*z**2/3 + 2350*z/3 + 276125/3.
5*(z + 235)**2/3
Let 7*o**2/5 - 86*o/5 + 144/5 = 0. What is o?
2, 72/7
Let -2*p**5 + 32*p**4/3 + 10*p**3 - 32*p**2/3 - 8*p = 0. Calculate p.
-1, -2/3, 0, 1, 6
Factor -3*g**2 - 6*g.
-3*g*(g + 2)
Find u, given that -9*u**2/4 - 23*u/4 + 8 = 0.
-32/9, 1
Find o such that -4*o**5 - 17*o**4 + 48*o**3 + 29*o**2 - 44*o - 12 = 0.
-6, -1, -1/4, 1, 2
Solve -2*y**3/3 + 404*y**2/3 - 800*y/3 = 0 for y.
0, 2, 200
Suppose 2*f**3/3 - 28*f**2 + 294*f - 2744/3 = 0. What is f?
7, 28
Find t such that 3*t**2/5 + 654*t + 178215 = 0.
-545
Factor -3*z**3 + 621*z**2.
-3*z**2*(z - 207)
Factor 4*l**3/5 - 528*l**2/5 - 1068*l/5 - 536/5.
4*(l - 134)*(l + 1)**2/5
Factor 4*b**3 + 2736*b**2 + 470580*b + 930248.
4*(b + 2)*(b + 341)**2
Factor -2*j**3 + 83*j**2 - 40*j - 41.
-(j - 41)*(j - 1)*(2*j + 1)
Factor -q**4/5 + 101*q**3/5 - 20*q**2.
-q**2*(q - 100)*(q - 1)/5
Find c such that c**4/4 - 9*c**3/4 + 11*c**2/4 + 21*c/4 = 0.
-1, 0, 3, 7
Factor 2*i**4/3 + 10*i**3/3 + 16*i**2/3 + 8*i/3.
2*i*(i + 1)*(i + 2)**2/3
Factor z**3/2 - 439*z**2/2 + 437*z.
z*(z - 437)*(z - 2)/2
Let 4*g**3 - 27*g**2 - 39*g - 8 = 0. What is g?
-1, -1/4, 8
Let -2*x**4/11 + 8*x**3/11 - 6*x**2/11 = 0. What is x?
0, 1, 3
Factor -x**5 - 3*x**4 + 4*x**3 + 12*x**2.
-x**2*(x - 2)*(x + 2)*(x + 3)
Factor 4*u**2 - 1552*u + 150544.
4*(u - 194)**2
Factor 2*i**2 + 892*i + 99458.
2*(i + 223)**2
Determine u so that 4*u**5 - 44*u**4 - 44*u**3 + 412*u**2 + 760*u + 352 = 0.
-2, -1, 4, 11
Find b such that 3*b**2 - 2394*b - 2397 = 0.
-1, 799
Factor o**2 + 77*o - 774.
(o - 9)*(o + 86)
Factor w**4 + 12*w**3 - 27*w**2 + 14*w.
w*(w - 1)**2*(w + 14)
Factor 2*m**4 - 24*m**3 - 6*m**2 + 68*m + 48.
2*(m - 12)*(m - 2)*(m + 1)**2
Solve 4*i**3 - 17312*i**2 + 18731584*i = 0 for i.
0, 2164
Suppose -3*y**2/8 + 267*y/4 - 23763/8 = 0. Calculate y.
89
Factor -7*x**4 + 89*x**3 - 291*x**2 + 99*x + 486.
-(x - 3)**2*(x + 1)*(7*x - 54)
Let -182*i**5 + 438*i**4 + 1036*i**3 + 480*i**2 + 64*i = 0. What is i?
-1, -4/13, -2/7, 0, 4
Factor -x**2/7 + 24*x/7 + 25/7.
-(x - 25)*(x + 1)/7
What is y in -y**3/4 - 5*y**2/2 + 13*y - 14 = 0?
-14, 2
Factor 15*f**2 - 78*f - 93.
3*(f + 1)*(5*f - 31)
Suppose -14*h**4/3 - 52*h**3/3 + 402*h**2 + 892*h/3 - 352/3 = 0. Calculate h.
-11, -1, 2/7, 8
Determine k so that 5*k**3 + 10*k**2 = 0.
-2, 0
Factor 2*k**3/7 + 50*k**2/7 + 32*k - 168.
2*(k - 3)*(k + 14)**2/7
Find x such that 3*x**3 - 456*x**2 + 903*x - 450 = 0.
1, 150
Suppose v**2/3 - 94*v/3 - 629 = 0. Calculate v.
-17, 111
Factor -u**3/2 + 45*u**2/2 + 128*u - 150.
-(u - 50)*(u - 1)*(u + 6)/2
Factor -19*c**3/2 + 17*c**2/2 + c.
-c*(c - 1)*(19*c + 2)/2
Factor 5*n**2 + 490*n + 12005.
5*(n + 49)**2
Solve -2*t**2/3 - 13592*t/3 - 23092808/3 = 0.
-3398
Find j, given that -2*j**4 - 52*j**3 - 142*j**2 - 92*j = 0.
-23, -2, -1, 0
Factor l**4/3 + 11*l**3/3 + 19*l**2/3 + 3*l.
l*(l + 1)**2*(l + 9)/3
Determine k, given that -25*k**3 - 145*k**2 - 200*k - 80 = 0.
-4, -1, -4/5
Let n**3/9 + 2*n**2/9 - 8*n/9 = 0. Calculate n.
-4, 0, 2
Factor -5*o**2 + 120*o.
-5*o*(o - 24)
Factor -3*i**5 - 18*i**4 + 342*i**3 - 888*i**2 + 837*i - 270.
-3*(i - 6)*(i - 1)**3*(i + 15)
Factor 2*w**2 - 2*w - 60.
2*(w - 6)*(w + 5)
Let 2*c**5/5 - 22*c**4/15 + 8*c**3/5 - 8*c**2/15 = 0. Calculate c.
0, 2/3, 1, 2
Solve -33*w**2 - 34842*w + 6336 = 0 for w.
-1056, 2/11
Suppose 2*j**4 - 25*j**3/2 + 3*j**2 = 0. What is j?
0, 1/4, 6
Solve -2*h**3 + 2244*h**2 - 839256*h + 104627248 = 0 for h.
374
Factor -250*x**4/3 + 3200*x**3/3 - 4140*x**2 + 8464*x/3 + 24334/3.
-2*(x + 1)*(5*x - 23)**3/3
Factor -1681*m**2/2 - 164*m - 8.
-(41*m + 4)**2/2
Let 3*w**4 - 45*w**3 - 105*w**2 + 45*w + 102 = 0. What is w?
-2, -1, 1, 17
What is c in 2*c**4/15 + 74*c**3/5 - 2*c**2/15 - 74*c/5 = 0?
-111, -1, 0, 1
Determine b, given that -2*b**2 - 328*b - 648 = 0.
-162, -2
Solve -2*h**2/3 - 22*h - 180 = 0.
-18, -15
Suppose -20*t**3 + 64*t**2 + 68*t - 16 = 0. What is t?
-1, 1/5, 4
What is l in l**4/3 + 28*l**3/3 + 196*l**2/3 = 0?
-14, 0
Factor -3*m**2 + 276*m - 273.
-3*(m - 91)*(m - 1)
Determine v so that -5*v**2 - 115*v - 110 = 0.
-22, -1
Solve 5*w**2 - 90*w - 95 = 0.
-1, 19
Let 2*t**3/13 + 2534*t**2/13 - 5074*t/13 + 2538/13 = 0. What is t?
-1269, 1
Let f**2/4 + 3*f/4 + 1/2 = 0. What is f?
-2, -1
Let -b**3 - 437*b**2 + 1760*b - 1764 = 0. Calculate b.
-441, 2
Factor -j**3/2 - 28*j**2 - 159*j/2.
-j*(j + 3)*(j + 53)/2
Suppose h**5/2 + 3*h**4/2 + h**3 = 0. What is h?
-2, -1, 0
Determine n so that 4*n**4 + 172*n**3 + 1548*n**2 - 7084*n - 8464 = 0.
-23, -1, 4
Factor 3*w**2/5 + 63*w/5 - 138/5.
3*(w - 2)*(w + 23)/5
Find l, given that l**5 - 21*l**4 - 47*l**3 + 21*l**2 + 46*l = 0.
-2, -1, 0, 1, 23
Factor 5*b**2/3 + 4*b/3 - 1/3.
(b + 1)*(5*b - 1)/3
Factor -w**3 - 31*w**2 - 30*w.
-w*(w + 1)*(w + 30)
Let -20*y**5 - 635*y**4 + 820*y**3 - 165*y**2 = 0. Calculate y.
-33, 0, 1/4, 1
Factor h**5/3 + 5*h**4/3 - 4*h**3/3 - 44*h**2/3 - 16*h.
h*(h - 3)*(h + 2)**2*(h + 4)/3
What is r in 5*r**5 + 425*r**4 - 430*r**3 = 0?
-86, 0, 1
Factor 2*a**3/3 + 914*a**2/3 - 920*a/3 - 1832/3.
2*(a - 2)*(a + 1)*(a + 458)/3
Find k, given that 2*k**3 - 4*k**2 = 0.
0, 2
Determine u so that -3*u**4 - 33*u**3 + 66*u**2 + 1248*u + 1152 = 0.
-8, -1, 6
Factor 3*m**3/8 - 15*m**2/4 - 75*m/2 + 375.
3*(m - 10)**2*(m + 10)/8
Let 2*y**5 - 40*y**4 = 0. What is y?
0, 20
Factor 2*q**3 + 27*q**2 + 117*q + 162.
(q + 3)*(q + 6)*(2*q + 9)
Determine u, given that -6*u**2 + 249*u/2 + 63/2 = 0.
-1/4, 21
Solve 15*p**4 + 51*p**3 + 3*p**2 - 51*p - 18 = 0.
-3, -1, -2/5, 1
What is i in -2*i**2/15 - 26*i/5 - 56/3 = 0?
-35, -4
Let v**3/7 + 13*v**2/7 - 177*v/7 - 27 = 0. What is v?
-21, -1, 9
Determine o, given that 4802*o**4/11 + 82320*o**3/11 + 529200*o**2/11 + 1512000*o/11 + 1620000/11 = 0.
-30/7
Factor -3*r**3 + 27*r**2 - 45*r + 21.
-3*(r - 7)*(r - 1)**2
Factor k**3 - 57*k**2 - 310*k.
k*(k - 62)*(k + 5)
Factor -s**2/6 + s - 4/3.
-(s - 4)*(s - 2)/6
Factor 2*i**5/9 - 80*i**4/9 + 800*i**3/9.
2*i**3*(i - 20)**2/9
Factor -34*s**3 - 69*s**2 - 2*s.
-s*(s + 2)*(34*s + 1)
Find x such that 4*x**4 - 88*x**3 - 400*x**2 - 416*x = 0.
-2, 0, 26
Let 4*h**2 + 48*h = 0. What is h?
-12, 0
Suppose 5*l**4 + 80*l**3 + 340*l**2 + 400*l = 0. What is l?
-10, -4, -2, 0
What is c in -c**2 - 148*c = 0?
-148, 0
Find v, given that -3*v**5 - 120*v**4 - 1272*v**3 - 4830*v**2 - 3525*v + 9750 = 0.
-26, -5, 1
Suppose 5*c**3 + 190*c**2 + 1480*c + 2240 = 0. What is c?
-28, -8, -2
Suppose -l**4 - 4*l**3 + 13*l**2 + 28*l - 60 = 0. What is l?
-5, -3, 2
Factor 289*i**3/3 - 799*i**2/3 - 200*i/3 - 4.
(i - 3)*(17*i + 2)**2/3