 6000.
-5*(i - 300)*(i - 4)
Suppose -w**3 + 58*w**2 - 896*w + 1568 = 0. Calculate w.
2, 28
Factor -m**3/4 + 259*m**2/4 - 16899*m/4 + 16641/4.
-(m - 129)**2*(m - 1)/4
Suppose -2*m**5/19 + 30*m**4/19 - 124*m**3/19 + 4*m**2/19 + 510*m/19 + 350/19 = 0. What is m?
-1, 5, 7
Factor 3*f**2/5 + 4482*f/5 + 1674027/5.
3*(f + 747)**2/5
Solve -3*d**2/2 + 9*d/2 + 15 = 0.
-2, 5
Factor -4*i**3 + 8*i**2 + 28*i + 16.
-4*(i - 4)*(i + 1)**2
Let s**4/2 - 25*s**3/2 + 50*s**2 = 0. What is s?
0, 5, 20
Suppose 16*v**4/7 - 12*v**3/7 - 510*v**2/7 - 250*v/7 = 0. What is v?
-5, -1/2, 0, 25/4
Suppose -w**2/2 + 19*w/2 - 9 = 0. Calculate w.
1, 18
Factor -10*i**2/7 - 746*i/7 - 444/7.
-2*(i + 74)*(5*i + 3)/7
What is b in -4*b**2 - 120*b - 884 = 0?
-17, -13
Factor -3*i**2 + 180*i.
-3*i*(i - 60)
Suppose 5*t**4 + 50*t**3 + 45*t**2 - 260*t + 160 = 0. Calculate t.
-8, -4, 1
Suppose 606*y**2/5 - 4*y/5 = 0. Calculate y.
0, 2/303
Find i such that i**2 - 206*i + 10609 = 0.
103
Find j, given that -2*j**2/9 + 4*j - 160/9 = 0.
8, 10
Determine q, given that 21*q**4/4 + q**3/4 - 71*q**2/2 + 31*q - 6 = 0.
-3, 2/7, 2/3, 2
Factor -4*m**4 - 8*m**3 + 52*m**2 - 40*m.
-4*m*(m - 2)*(m - 1)*(m + 5)
Suppose 4*d**4 + 12*d**3 - 16*d = 0. What is d?
-2, 0, 1
Factor 2*c**2/9 + 320*c/9 - 1312/9.
2*(c - 4)*(c + 164)/9
Factor -5*a**4 - 250*a**3 - 2320*a**2 - 6950*a - 4875.
-5*(a + 1)*(a + 5)**2*(a + 39)
Solve -4*a**3/7 + 20*a**2 + 4*a/7 - 20 = 0.
-1, 1, 35
Find h such that 105*h**5 - 145*h**4 - 6735*h**3 - 4115*h**2 - 630*h = 0.
-7, -1/3, -2/7, 0, 9
Factor -d**3 + 4*d**2 - 3*d.
-d*(d - 3)*(d - 1)
Factor -4*j**2/5 - 52*j/5 - 88/5.
-4*(j + 2)*(j + 11)/5
Factor 2*u**4/9 - 2*u**2/3 - 4*u/9.
2*u*(u - 2)*(u + 1)**2/9
Determine g so that -36*g**5 - 291*g**4/4 + 789*g**3/2 + 1761*g**2/4 - 1287*g - 27 = 0.
-3, -1/48, 2
Factor -3*a**4 + 1686*a**3 - 233487*a**2 - 954276*a - 961068.
-3*(a - 283)**2*(a + 2)**2
Factor 5*m**4 + 4505*m**3 + 1007970*m**2 - 3055520*m + 2043040.
5*(m - 2)*(m - 1)*(m + 452)**2
Suppose 2*v**5 + 6*v**4 - 6*v**3 - 22*v**2 - 12*v = 0. What is v?
-3, -1, 0, 2
Factor -2*p**4 + 780*p**3 - 71226*p**2 - 940680*p - 2908872.
-2*(p - 201)**2*(p + 6)**2
Suppose 2*u**2/11 - 3040*u/11 + 3038/11 = 0. Calculate u.
1, 1519
Determine q, given that -q**2 + 116*q + 117 = 0.
-1, 117
Factor 2*d**2/7 - 20*d - 2958/7.
2*(d - 87)*(d + 17)/7
Find b, given that -17*b**2 + 262*b + 160 = 0.
-10/17, 16
Determine g, given that -4*g**2 - 59392*g - 220463104 = 0.
-7424
Determine s so that s**4 - 17*s**3 - 133*s**2 - 115*s = 0.
-5, -1, 0, 23
Factor 2*i**3/9 + 22*i**2/9 + 8*i + 8.
2*(i + 2)*(i + 3)*(i + 6)/9
Factor -s**3 + 160*s**2/3 - 2153*s/3 + 700/3.
-(s - 28)*(s - 25)*(3*s - 1)/3
Let -6*g**4 + 197*g**3/3 - 619*g**2/3 + 415*g/3 + 25/3 = 0. Calculate g.
-1/18, 1, 5
Factor 4*r**2 - 4968*r + 1542564.
4*(r - 621)**2
Factor k**4 - 36*k**3 + 349*k**2 - 306*k - 2312.
(k - 17)**2*(k - 4)*(k + 2)
Suppose 5*u**4 - 650*u**3 + 2545*u**2 - 3160*u + 1260 = 0. Calculate u.
1, 2, 126
Determine q, given that 4*q**3 + 50*q**2 + 62*q - 44 = 0.
-11, -2, 1/2
Factor 2*c**2 - 426*c.
2*c*(c - 213)
Determine g, given that -14*g**4 + 4*g**3 = 0.
0, 2/7
Factor -5*w**4 + 85*w**3 - 190*w**2 - 280*w.
-5*w*(w - 14)*(w - 4)*(w + 1)
Suppose 10*s**2 + 288*s + 486 = 0. Calculate s.
-27, -9/5
Determine k, given that -2*k**4 + 74*k**3 - 274*k**2 + 334*k - 132 = 0.
1, 2, 33
Find h, given that 2*h**3/5 + 46*h**2/5 - 48*h/5 = 0.
-24, 0, 1
Factor 5*y**5 + 2865*y**4 + 11410*y**3 + 17090*y**2 + 11385*y + 2845.
5*(y + 1)**4*(y + 569)
Find i, given that -4*i**5 + 16*i**4 - 12*i**3 = 0.
0, 1, 3
Solve a**5 - 5*a**4 + 6*a**3 = 0.
0, 2, 3
Factor 3*a**2 + 75*a + 72.
3*(a + 1)*(a + 24)
Factor 4*m**2 - 650*m + 324.
2*(m - 162)*(2*m - 1)
Suppose u**3 + 18*u**2 + 29*u - 48 = 0. What is u?
-16, -3, 1
Determine p, given that 3*p**5/4 - 135*p**4/4 + 837*p**3/2 - 1425*p**2/2 - 11277*p/4 - 6615/4 = 0.
-1, 5, 21
Factor -4*p**2 + 12*p - 8.
-4*(p - 2)*(p - 1)
Factor -5*t**3 + 35*t**2 + 270*t + 360.
-5*(t - 12)*(t + 2)*(t + 3)
Let 4*r**4 + 124*r**3 - 132*r**2 - 124*r + 128 = 0. What is r?
-32, -1, 1
Suppose 2*f**4/7 - 92*f**3/21 + 136*f**2/7 - 20*f + 14/3 = 0. Calculate f.
1/3, 1, 7
Factor -8*f**3/3 - 10*f**2/3 + 14*f/3 + 4/3.
-2*(f - 1)*(f + 2)*(4*f + 1)/3
Solve -w**5 + 2*w**3 - w = 0 for w.
-1, 0, 1
Find y, given that 2*y**4/11 - 46*y**2/11 + 36*y/11 + 80/11 = 0.
-5, -1, 2, 4
Factor -3*h**4/2 + 207*h**3/2 - 585*h**2 + 1146*h - 756.
-3*(h - 63)*(h - 2)**3/2
Factor j**3 - 386*j**2 + 37632*j - 73728.
(j - 192)**2*(j - 2)
Factor -8*r**5 + 72*r**4 - 74*r**3 - 396*r**2 - 242*r.
-2*r*(r + 1)**2*(2*r - 11)**2
Find n, given that n**2/11 - 345*n/11 = 0.
0, 345
Find c, given that c**5/4 - 55*c**4/4 + 212*c**3 - 1415*c**2 + 4344*c - 5040 = 0.
4, 6, 35
Solve 40*g**5/3 + 27*g**4 - 124*g**3/3 - 5*g**2 + 6*g = 0.
-3, -2/5, 0, 3/8, 1
Factor 2*s**2/3 - 94*s/3 - 32.
2*(s - 48)*(s + 1)/3
What is c in -2*c**2/15 + 2*c = 0?
0, 15
Factor -u**2/4 - 6*u + 133.
-(u - 14)*(u + 38)/4
Factor -y**3/3 - 3*y**2 + 72*y + 720.
-(y - 15)*(y + 12)**2/3
Suppose c**2 - 2756*c + 1898884 = 0. What is c?
1378
Suppose 3*a**4/4 - 525*a**3/2 + 93939*a**2/4 - 89787*a = 0. Calculate a.
0, 4, 173
Factor 4*h**5 + 52*h**4 + 172*h**3 + 60*h**2 - 288*h.
4*h*(h - 1)*(h + 3)**2*(h + 8)
Solve -4*r**5/5 + 5*r**4 + 22*r**3/5 - 7*r**2/5 = 0.
-1, 0, 1/4, 7
Factor 2*o**4 + 80*o**3 + 798*o**2 - 80*o - 800.
2*(o - 1)*(o + 1)*(o + 20)**2
Find x such that 2*x**3/13 + 308*x**2/13 - 1582*x/13 + 1272/13 = 0.
-159, 1, 4
Determine c so that -c**3/2 + 81*c**2/2 + 305*c + 264 = 0.
-6, -1, 88
Let 2*y**2/5 + 16*y/5 + 6 = 0. Calculate y.
-5, -3
Factor -4*s**4 + 36*s**3 + 4*s**2 - 36*s.
-4*s*(s - 9)*(s - 1)*(s + 1)
Suppose -6*v**2/13 - 8048*v/13 - 2682/13 = 0. Calculate v.
-1341, -1/3
Factor n**4/10 - 3*n**3/5 + 11*n**2/10 - 3*n/5.
n*(n - 3)*(n - 2)*(n - 1)/10
Solve -5*s**4/6 - 120*s**3 - 115*s**2 + 1780*s/3 - 715/2 = 0 for s.
-143, -3, 1
Factor -4*d**2 + 3336*d - 6656.
-4*(d - 832)*(d - 2)
What is l in 2*l**5/7 - 158*l**4/7 + 3838*l**3/7 - 27418*l**2/7 + 31008*l/7 + 62424/7 = 0?
-1, 3, 9, 34
Suppose 2*r**3/3 + 64*r**2 - 4334*r/3 + 1380 = 0. Calculate r.
-115, 1, 18
Determine s, given that -2*s**2/9 + 68*s/9 - 128/9 = 0.
2, 32
Solve l**3/2 + 8*l**2 + 85*l/2 + 75 = 0.
-6, -5
Suppose -28*f**3 + 152*f**2 - 272*f + 160 = 0. Calculate f.
10/7, 2
Factor -l**3 - 74*l**2/5 + 19*l - 16/5.
-(l - 1)*(l + 16)*(5*l - 1)/5
Suppose 4*d**2 - 11*d - 3 = 0. Calculate d.
-1/4, 3
Determine a, given that 3*a**2 + 8185*a + 2728 = 0.
-2728, -1/3
What is v in -207646*v**4/7 - 777568*v**3/7 + 207552*v**2/7 - 2560*v + 512/7 = 0?
-4, 4/47
Factor 25*l**3 + 410*l**2 - 740*l - 360.
5*(l - 2)*(l + 18)*(5*l + 2)
Determine q, given that -q**5/2 - 5*q**4/2 + 3*q**3 + 16*q**2 - 16*q = 0.
-4, 0, 1, 2
Determine r, given that 6*r**2/5 - 54*r - 2544/5 = 0.
-8, 53
Factor -2*y**5 - 22*y**4 - 92*y**3 - 180*y**2 - 162*y - 54.
-2*(y + 1)**2*(y + 3)**3
Factor 2*i**5/3 - 10*i**4/3 - 6*i**3 + 26*i**2/3 + 56*i/3 + 8.
2*(i - 6)*(i - 2)*(i + 1)**3/3
Factor 2*l**3 + 50*l**2 - 114*l - 162.
2*(l - 3)*(l + 1)*(l + 27)
Find w, given that -5*w**4/2 + 6260*w**3 - 3906220*w**2 - 15700080*w - 15725160 = 0.
-2, 1254
Factor 3*h**3/7 - 72*h**2/7 + 540*h/7 - 1200/7.
3*(h - 10)**2*(h - 4)/7
Factor 3*w**3 + 150*w**2 + 291*w + 144.
3*(w + 1)**2*(w + 48)
Factor 3*r**2 - 17154*r + 24521643.
3*(r - 2859)**2
Factor 2*p**3/13 + 174*p**2/13 + 1140*p/13 + 1600/13.
2*(p + 2)*(p + 5)*(p + 80)/13
Solve -50*b**4/13 + 270*b**3/13 - 432*b**2/13 + 216*b/13 = 0 for b.
0, 6/5, 3
Determine k, given that -k**4/3 - 13*k**3/3 - 10*k**2 = 0.
-10, -3, 0
Suppose 3*b**3 + 57*b**2 - 3*b - 57 = 0. What is b?
-19, -1, 1
Determine v, given that 3*v**4 + 45*v**3 + 171*v**2 + 219*v + 90 = 0.
-10, -3, -1
Factor -u**2/7 - 124*u/7 - 123/7.
-(u + 1)*(u + 123)/7
Solve 2*m**2 + 284*m + 282 = 0 for m.
-141, -1
Factor h**3 + 30*h**2 + 108*h + 104.
(h + 2)**2*(h + 26)
Solve -2*f**5 - 38*f**4 - 276*f**3 - 940*f**2 - 1450*f - 750 = 0 for f.
-5, -3, -1
Factor 3*s**4/5 + 438*s**3/5 + 22356*s**2/5 + 88872*s + 2336064/5.
3*(s + 8)*(s + 46)**3/5
Factor -5*n**4 + 75*n**3 - 195*n**2 + 185*n - 60.
-5*(n - 12)*(n - 1)**3
Determine a so that a**2 - 33*a + 32 = 0.
1, 32
Factor d**2/6 - 1984*d/3 + 1968128/3.
(d - 1984)**2/6
Find w, given that -1559378*w**2 - 7064*w - 8 