t 2*g**3/7 - 86*g**2/7 + 164*g/7 = 0. What is g?
0, 2, 41
Solve -3*p**2 + 3552*p - 1051392 = 0.
592
Let 8*v**2/13 + 3838*v/13 - 960/13 = 0. What is v?
-480, 1/4
Suppose -q**4 - 8098*q**3 - 16386301*q**2 + 32796900*q - 16402500 = 0. Calculate q.
-4050, 1
Determine d so that -50*d**5/17 + 12*d**4 - 266*d**3/17 + 120*d**2/17 - 8*d/17 = 0.
0, 2/25, 1, 2
Factor -5*y**4 - 520*y**3 + 1060*y**2.
-5*y**2*(y - 2)*(y + 106)
Determine m, given that -18*m**5 + 36*m**4 - 22*m**3 + 4*m**2 = 0.
0, 1/3, 2/3, 1
Factor -32*m**4/7 - 368*m**3/7 - 178*m**2/7 - 22*m/7.
-2*m*(m + 11)*(4*m + 1)**2/7
Determine m so that 3*m**2 - 42*m + 39 = 0.
1, 13
Factor -4*s**2/7 + 12*s + 400/7.
-4*(s - 25)*(s + 4)/7
Let 4*z**5 + 124*z**4 - 132*z**3 - 124*z**2 + 128*z = 0. What is z?
-32, -1, 0, 1
Determine w so that 5*w**4 + 126*w**3 + 355*w**2 + 66*w = 0.
-22, -3, -1/5, 0
Let 2*t**2 + 28*t + 26 = 0. What is t?
-13, -1
Factor w**3 + 165*w**2 + 4032*w + 26852.
(w + 14)**2*(w + 137)
Factor -5*k**3 - 400*k**2 - 8385*k - 15210.
-5*(k + 2)*(k + 39)**2
Factor -14*l**2/3 - 5118*l + 4388/3.
-2*(l + 1097)*(7*l - 2)/3
Let o**2/3 - 44*o - 4669/3 = 0. Calculate o.
-29, 161
Factor 4*r**2 - 28*r + 40.
4*(r - 5)*(r - 2)
Suppose 5*t**3 + 125*t**2 - 1240*t + 2640 = 0. What is t?
-33, 4
Determine o so that 20*o**4 + 36*o**3 = 0.
-9/5, 0
Determine a so that 9*a**5/5 - 3*a**4/5 - 54*a**3/5 - 54*a**2/5 - 3*a/5 + 9/5 = 0.
-1, 1/3, 3
Find p such that -54*p**4/5 + 42*p**3/5 + 66*p**2/5 - 42*p/5 - 12/5 = 0.
-1, -2/9, 1
Factor -4*u**4/5 - 3*u**3 + 7*u**2/5 + 12*u/5.
-u*(u - 1)*(u + 4)*(4*u + 3)/5
Find t, given that -399*t**2/4 + 2799*t/4 - 21/2 = 0.
2/133, 7
Find y, given that -y**2/3 - 455*y/9 + 152/9 = 0.
-152, 1/3
Solve -9*f**2 - 69*f/4 + 3/2 = 0 for f.
-2, 1/12
Determine t so that t**4 + 9*t**3 + 19*t**2 - 9*t - 20 = 0.
-5, -4, -1, 1
Solve 2*x**4/7 - 6*x**3/7 - 48*x**2/7 - 8*x = 0.
-2, 0, 7
Let -3*u**3/8 - 45*u**2/4 + 291*u/8 - 99/4 = 0. Calculate u.
-33, 1, 2
Factor v**2 + 39*v - 952.
(v - 17)*(v + 56)
Factor x**3 - 191*x**2 + 9400*x - 26508.
(x - 94)**2*(x - 3)
Let -2*v**2/9 - 28*v/9 + 34/3 = 0. What is v?
-17, 3
Factor 2*i**2/9 - 538*i/9 + 2120/9.
2*(i - 265)*(i - 4)/9
Factor j**4 - 3*j**2 + 2*j.
j*(j - 1)**2*(j + 2)
Factor -5*u**3 - 5600*u**2 + 11215*u - 5610.
-5*(u - 1)**2*(u + 1122)
Factor -670*p**2/7 + 666*p/7 + 4/7.
-2*(p - 1)*(335*p + 2)/7
Factor 76*y**2/5 + 8*y - 116/5.
4*(y - 1)*(19*y + 29)/5
Factor -55*l**4 - 25*l**3 + 30*l**2.
-5*l**2*(l + 1)*(11*l - 6)
Factor -5*j**4 + 15*j**3 + 45*j**2 + 25*j.
-5*j*(j - 5)*(j + 1)**2
Let 3*g**2 + 294*g + 291 = 0. Calculate g.
-97, -1
Let -3*b**2 + 48*b - 45 = 0. Calculate b.
1, 15
Factor 5*g**3 + 80*g**2 - 1980*g - 32400.
5*(g - 20)*(g + 18)**2
Determine u, given that -2*u**4/3 - 20*u**3/3 - 16*u**2 + 20*u/3 + 50/3 = 0.
-5, -1, 1
Factor n**5/5 - 2*n**4/5 + n**3/5.
n**3*(n - 1)**2/5
Factor h**5 - 601*h**4 + 600*h**3.
h**3*(h - 600)*(h - 1)
Factor 1108*k**5 - 6652*k**4 + 13320*k**3 - 8912*k**2 + 32*k.
4*k*(k - 2)**3*(277*k - 1)
Determine h so that -h**3/4 - 153*h**2/4 - 5775*h/4 + 5929/4 = 0.
-77, 1
Determine y, given that y**2/5 + 48*y + 239/5 = 0.
-239, -1
What is n in -2*n**5/15 - 4*n**4/15 + 2*n**3/15 + 4*n**2/15 = 0?
-2, -1, 0, 1
Factor -t**2/5 + 91*t/5 - 18.
-(t - 90)*(t - 1)/5
Factor -y**4/4 + 2*y**3 + 31*y**2/4 + 11*y/2.
-y*(y - 11)*(y + 1)*(y + 2)/4
Factor 4*p**2 + 796*p + 792.
4*(p + 1)*(p + 198)
Solve 14*l**5 + 60*l**4 - 152*l**3 - 48*l**2 = 0.
-6, -2/7, 0, 2
Suppose 4*z**4/7 - 8*z**3/7 - 12*z**2/7 + 32*z/7 - 16/7 = 0. Calculate z.
-2, 1, 2
Factor 5*o**2 + 1775*o + 1770.
5*(o + 1)*(o + 354)
Factor 3*z**5/4 + 5*z**4/2 - 31*z**3/2 + 24*z**2 - 61*z/4 + 7/2.
(z - 1)**3*(z + 7)*(3*z - 2)/4
Factor 2*h**2/15 - 5312*h/5 + 10581504/5.
2*(h - 3984)**2/15
Suppose -5*f**5 + 45*f**4 - 115*f**3 + 75*f**2 = 0. Calculate f.
0, 1, 3, 5
Factor -y**3/12 - 19*y**2/12 - 28*y/3 - 16.
-(y + 3)*(y + 8)**2/12
Solve 5*n**4 + 25*n**3 - 155*n**2 + 215*n - 90 = 0.
-9, 1, 2
Find v, given that -80*v**5 - 3320*v**4 + 5115*v**3 - 1930*v**2 + 215*v = 0.
-43, 0, 1/4, 1
Suppose -2*v**5/9 - 10*v**4/9 - 2*v**3/3 + 10*v**2/9 + 8*v/9 = 0. What is v?
-4, -1, 0, 1
Determine s so that -s**5/2 + 3*s**4 - 5*s**3/2 = 0.
0, 1, 5
What is v in -3*v**2 - 252*v - 1404 = 0?
-78, -6
Factor 6*r**3 - 141*r**2/4 + 99*r/2 + 27/4.
3*(r - 3)**2*(8*r + 1)/4
Factor -3*m**3/4 + 3*m**2/4 + 3*m/4 - 3/4.
-3*(m - 1)**2*(m + 1)/4
Determine t, given that t**4/2 - 141*t**3/4 - 361*t**2/4 - 291*t/4 - 73/4 = 0.
-1, -1/2, 73
Factor -4*x**2 - 628*x - 8008.
-4*(x + 14)*(x + 143)
What is a in -13*a**5/8 + 27*a**4/4 - 47*a**3/8 + 3*a**2/4 = 0?
0, 2/13, 1, 3
Solve -2*p**3/5 - 26*p**2/5 - 12*p = 0.
-10, -3, 0
Determine n, given that -n**5/9 + 127*n**4/9 - 238*n**3/9 - 1486*n**2/9 - 1745*n/9 - 625/9 = 0.
-1, 5, 125
Let 3*j**2/8 - 1851*j/8 + 231 = 0. What is j?
1, 616
Solve 2*r**2/11 + 1898*r/11 + 1896/11 = 0 for r.
-948, -1
Solve -2*t**2/11 + 14*t/11 - 24/11 = 0.
3, 4
What is o in -256*o**3 - 28480*o**2 - 7108*o - 444 = 0?
-111, -1/8
Let -168*q**4/19 + 118*q**3/19 + 1646*q**2/19 - 1568*q/19 + 312/19 = 0. Calculate q.
-13/4, 2/7, 2/3, 3
Suppose -441*d**3 + 525*d**2 - 207*d + 27 = 0. What is d?
1/3, 3/7
Factor 2*s**4 + 1424*s**3 + 4260*s**2 + 4256*s + 1418.
2*(s + 1)**3*(s + 709)
Solve 2*o**3 - 26*o**2 - 28*o = 0 for o.
-1, 0, 14
Suppose 5*b**2 + 4130*b - 16600 = 0. What is b?
-830, 4
Find r such that 2*r**5/7 + 8*r**4/7 - 10*r**3/7 - 40*r**2/7 + 8*r/7 + 32/7 = 0.
-4, -2, -1, 1, 2
Solve -2*q**3 + 116*q**2 - 334*q + 220 = 0.
1, 2, 55
Factor -4*y**3/9 - 4*y**2 - 56*y/9.
-4*y*(y + 2)*(y + 7)/9
Find o such that 2*o**4 - 18*o**3 - 204*o**2 - 320*o = 0.
-5, -2, 0, 16
Suppose 4*b**4/3 + 28*b**3/9 - 8*b**2/3 - 16*b/3 + 32/9 = 0. What is b?
-2, 2/3, 1
Factor -5*m**5 + 120*m**4 + 260*m**3 + 10*m**2 - 255*m - 130.
-5*(m - 26)*(m - 1)*(m + 1)**3
Solve v**4/10 - 59*v**3/10 + 5*v**2 + 238*v/5 - 348/5 = 0 for v.
-3, 2, 58
Let -2*l**5/11 + 274*l**4/11 - 10544*l**3/11 + 7264*l**2 - 200704*l/11 + 131072/11 = 0. Calculate l.
1, 4, 64
Solve -2*x**3/5 + 18*x**2/5 - 8*x + 24/5 = 0.
1, 2, 6
What is c in -20*c**5 - 312*c**4 - 292*c**3 + 2048*c**2 - 1872*c + 448 = 0?
-14, -4, 2/5, 1
Suppose 2*t**2/5 + 138*t + 1372/5 = 0. What is t?
-343, -2
Factor 2*d**3/7 + 1326*d**2/7 + 293046*d/7 + 21587722/7.
2*(d + 221)**3/7
Suppose -u**3 - 333*u**2 - 36963*u - 1367631 = 0. Calculate u.
-111
Find b, given that 5*b**3/3 + 19*b**2/6 + 4*b/3 - 1/6 = 0.
-1, 1/10
Find j, given that -2*j**4/11 - 34*j**3/11 - 160*j**2/11 - 128*j/11 = 0.
-8, -1, 0
Determine k, given that k**2 - 252*k - 508 = 0.
-2, 254
Determine k, given that 5*k**2 - 425*k - 430 = 0.
-1, 86
Factor 32*v**2 + 404*v - 156.
4*(v + 13)*(8*v - 3)
Factor 5*r**2 - 2320*r + 4620.
5*(r - 462)*(r - 2)
Suppose -w**4/7 + 40*w**3/7 - 11*w**2 + 38*w/7 = 0. What is w?
0, 1, 38
Factor 4*y**3 + 8*y**2 - 84*y + 72.
4*(y - 3)*(y - 1)*(y + 6)
Factor -4*j**3 - 60*j**2 - 104*j.
-4*j*(j + 2)*(j + 13)
Factor 2*t**2/3 + 332*t + 41334.
2*(t + 249)**2/3
Find l, given that 4*l**4/9 + 70*l**3/9 - 40*l**2/9 - 70*l/9 + 4 = 0.
-18, -1, 1/2, 1
Factor -v**3/4 + 11*v**2/4 - 19*v/4 + 9/4.
-(v - 9)*(v - 1)**2/4
Suppose 3*t**3 - 36*t**2 + 105*t - 72 = 0. What is t?
1, 3, 8
Solve -m**3 - 811*m**2/4 + 203*m/4 = 0 for m.
-203, 0, 1/4
Factor 21*f**5 - 498*f**4 - 144*f**3.
3*f**3*(f - 24)*(7*f + 2)
Factor -2*y**4 + 120*y**3 - 566*y**2 + 888*y - 440.
-2*(y - 55)*(y - 2)**2*(y - 1)
Suppose -4*u**3 + 236*u**2 + 4*u - 236 = 0. Calculate u.
-1, 1, 59
Factor 900*x**3/7 + 8580*x**2/7 + 17289*x/7 - 15606/7.
3*(3*x - 2)*(10*x + 51)**2/7
Solve -3*r**4/5 - 18*r**3/5 + 27*r**2/5 + 162*r/5 = 0.
-6, -3, 0, 3
Find d such that 2*d**4/7 + 204*d**3/7 + 4992*d**2/7 - 10816*d/7 = 0.
-52, 0, 2
Solve -10*k**3 + 54*k**2 - 80*k + 24 = 0.
2/5, 2, 3
Factor 3*d**3/7 + 30*d**2/7.
3*d**2*(d + 10)/7
Let -l**2 - 124*l - 244 = 0. What is l?
-122, -2
Factor -16*x**3/5 - 56*x**2/5 - 5*x - 3/5.
-(x + 3)*(4*x + 1)**2/5
Find i, given that 4*i**3 + 124*i**2 = 0.
-31, 0
Factor 2*a**5 + 4*a**4 - 14*a**3 + 8*a**2.
2*a**2*(a - 1)**2*(a + 4)
Let x**3/4 + x**2/4 = 0. What is x?
-1, 0
Factor x**2 + 26*x - 120.
(x - 4)*(x + 30)
Find p such that -2*p**3/5 - 174*p**2/5 - 672*p/5 - 664/5 = 0.
-83, -2
Factor -2*r**3/7 + 2512*r**2/7 + 2514*r/7.
-2*r*(r - 1257)*(r + 1)/7
Find f such that -4*