*4 - 30*d**3 + 3*d**2 + 92*d + 60.
-(d - 2)*(d + 1)**2*(d + 30)
Determine j, given that -2*j**3/9 + 104*j**2/9 + 2*j/9 - 104/9 = 0.
-1, 1, 52
Factor -4*g**2 - 4540*g - 13584.
-4*(g + 3)*(g + 1132)
Find a such that -3*a**2/7 - 11052*a/7 - 10178892/7 = 0.
-1842
Solve -4*w**2 - 2120*w - 280900 = 0 for w.
-265
Let 2*w**3 - 1170*w**2 - 2348*w = 0. What is w?
-2, 0, 587
Factor -5*z**5 + 750*z**4 - 25800*z**3 - 173200*z**2 - 358800*z - 243360.
-5*(z - 78)**2*(z + 2)**3
Suppose -8*g**2 + 142*g - 102 = 0. Calculate g.
3/4, 17
Let -2*q**2 - 20*q = 0. Calculate q.
-10, 0
Suppose -52*o**2 - 31000*o - 4768 = 0. What is o?
-596, -2/13
Suppose 30*c**3 - 266*c**2 - 36*c = 0. Calculate c.
-2/15, 0, 9
Suppose -r**2/6 - 5*r/3 - 3/2 = 0. Calculate r.
-9, -1
Factor -2*s**3 - 9038*s**2 - 10206160*s + 10215200.
-2*(s - 1)*(s + 2260)**2
Let 3*h**4 - 24*h**3 + 21*h**2 = 0. What is h?
0, 1, 7
Let -2*u**3/5 - 98*u**2/5 + 642*u/5 - 198 = 0. Calculate u.
-55, 3
Factor n**3/5 + 17*n**2/5 - 37*n/5 + 19/5.
(n - 1)**2*(n + 19)/5
Factor -u**3/5 - 123*u**2/5.
-u**2*(u + 123)/5
Determine d so that 5*d**4 + 218*d**3 + 9241*d**2/5 - 57552*d/5 + 69696/5 = 0.
-24, 11/5
Suppose 2*t**2/17 + 12*t/17 - 14/17 = 0. Calculate t.
-7, 1
Let -m**3/4 + 5*m**2/2 - 9*m/4 = 0. What is m?
0, 1, 9
Factor -x**2/6 + 7*x/6 - 1.
-(x - 6)*(x - 1)/6
Find g such that -432*g**5/5 - 936*g**4/5 + 789*g**3/5 + 1944*g**2/5 - 351*g/5 - 1014/5 = 0.
-2, -13/12, 1
Find a such that -60*a**3 - 69*a**2 - 3*a + 6 = 0.
-1, -2/5, 1/4
Find m, given that -2*m**5/3 - 10*m**4/3 - 2*m**3/3 + 26*m**2/3 + 4*m/3 - 16/3 = 0.
-4, -2, -1, 1
Factor r**5/3 + r**4 - r**3 - 7*r**2/3 + 2*r.
r*(r - 1)**2*(r + 2)*(r + 3)/3
Factor -125*w**3 - 3300*w**2 - 1305*w - 130.
-5*(w + 26)*(5*w + 1)**2
Suppose -2*p**3 + 962*p**2 + 1930*p + 966 = 0. What is p?
-1, 483
Suppose n**4/4 + 2*n**3 - 9*n**2/4 - 27*n + 27 = 0. Calculate n.
-6, 1, 3
What is l in -3*l**4 + 36*l**3 - 153*l**2 + 276*l - 180 = 0?
2, 3, 5
Factor -m**5/11 - 86*m**4/11 - 1576*m**3/11 + 11600*m**2/11 - 24656*m/11 + 16928/11.
-(m - 2)**3*(m + 46)**2/11
Factor 3*k**3/7 - 228*k**2/7 + 447*k/7 - 222/7.
3*(k - 74)*(k - 1)**2/7
Factor -2*c**2 + 56*c.
-2*c*(c - 28)
Factor 250*t**3 + 230*t**2 - 98*t/5 + 2/5.
2*(t + 1)*(25*t - 1)**2/5
Let 2*a**4/3 - 22*a**3 + 240*a**2 - 864*a = 0. What is a?
0, 9, 12
What is m in -m**2/4 - 272*m - 73984 = 0?
-544
Factor j**3/7 + 1714*j**2/7.
j**2*(j + 1714)/7
Solve -l**2/4 + 10*l - 100 = 0 for l.
20
Find a such that a**5/2 + 5*a**4/2 + 7*a**3/2 + 3*a**2/2 = 0.
-3, -1, 0
Solve -2*w**2 + 5926*w - 5924 = 0.
1, 2962
Factor 14*a**2 - 102*a + 88.
2*(a - 1)*(7*a - 44)
Determine p so that p**3/8 - 21*p**2/8 = 0.
0, 21
What is h in 2*h**5/7 + 24*h**4/7 + 6*h**3 - 28*h**2 = 0?
-7, 0, 2
Suppose 4*j**2 - 2564*j - 2568 = 0. Calculate j.
-1, 642
Factor 2*o**5/9 + 56*o**4/9 + 64*o**3 + 288*o**2 + 480*o.
2*o*(o + 6)**3*(o + 10)/9
What is v in 3*v**4/2 + 165*v**3/2 + 159*v**2/2 - 165*v/2 - 81 = 0?
-54, -1, 1
Factor 3*m**4 - 6*m**3 - 87*m**2 - 126*m.
3*m*(m - 7)*(m + 2)*(m + 3)
Determine x, given that -x**3 + 16*x**2 - 77*x + 98 = 0.
2, 7
Suppose -2*i**2 + 84*i + 576 = 0. What is i?
-6, 48
Factor -10*p**3 + 5*p**2 + 5*p.
-5*p*(p - 1)*(2*p + 1)
What is j in 3*j**4 - 18*j**3 - 57*j**2 + 72*j = 0?
-3, 0, 1, 8
Solve 6*c**2/7 - 204*c/7 = 0.
0, 34
Factor 2*k**2 + 2*k - 144.
2*(k - 8)*(k + 9)
Find y, given that -125*y**4 + 8975*y**3 + 10890*y**2 + 4372*y + 584 = 0.
-2/5, 73
Factor -m**4 - 4*m**3 + 3*m**2 + 18*m.
-m*(m - 2)*(m + 3)**2
Suppose -4*l**2 - 100*l - 616 = 0. Calculate l.
-14, -11
Find d such that -4*d**4 + 56*d**3 - 52*d**2 = 0.
0, 1, 13
Let -2*a**5 + 301*a**4 - 11395*a**3 + 4877*a**2 + 27825*a + 11250 = 0. What is a?
-1, -1/2, 2, 75
Suppose -3*i**3 + 108*i**2 + 111*i = 0. Calculate i.
-1, 0, 37
Suppose 2*p**5 - 32*p**4/7 - 48*p**3/7 + 128*p**2/7 - 32*p/7 = 0. Calculate p.
-2, 0, 2/7, 2
Suppose -t**4/10 - 381*t**3/5 - 761*t**2/10 = 0. What is t?
-761, -1, 0
Let -h**2/4 + 123*h/2 = 0. Calculate h.
0, 246
Factor -m**4 + 7*m**2 + 6*m.
-m*(m - 3)*(m + 1)*(m + 2)
Determine r, given that 2*r**4/5 - 268*r**3/5 + 1808*r**2/5 - 3828*r/5 + 2286/5 = 0.
1, 3, 127
Solve -12*m**5 + 208*m**4 - 576*m**3 + 192*m**2 + 448*m = 0 for m.
-2/3, 0, 2, 14
Solve 2*v**3/3 + 68*v**2/3 + 440*v/3 + 208 = 0.
-26, -6, -2
Factor 18*w**3 + 32*w**2 - 8*w.
2*w*(w + 2)*(9*w - 2)
Suppose 2*o**5/3 + 1042*o**4/3 + 135196*o**3/3 - 137284*o**2/3 - 45066*o + 45414 = 0. Calculate o.
-261, -1, 1
Factor 2*u**5/3 + 14*u**4/3 + 32*u**3/3 + 16*u**2/3 - 32*u/3 - 32/3.
2*(u - 1)*(u + 2)**4/3
Suppose -14*t**4/11 - 4*t**3/11 + 98*t**2/11 + 112*t/11 + 24/11 = 0. Calculate t.
-2, -1, -2/7, 3
Solve -108*p**2 + 1400*p + 52 = 0 for p.
-1/27, 13
Factor q**3 - 4*q**2 - 3*q + 18.
(q - 3)**2*(q + 2)
Determine j so that -9*j**4/5 + 483*j**3/5 - 495*j**2 + 1281*j/5 + 144 = 0.
-1/3, 1, 5, 48
Factor 2*s**2/3 + 442*s/3 - 148.
2*(s - 1)*(s + 222)/3
Factor 5*z**4 + 40*z**3 + 10*z**2 - 160*z + 105.
5*(z - 1)**2*(z + 3)*(z + 7)
Determine h, given that h**5 + 8*h**4 + 24*h**3 + 34*h**2 + 23*h + 6 = 0.
-3, -2, -1
Factor 80*j**4 + 600*j**3 - 315*j**2 + 40*j.
5*j*(j + 8)*(4*j - 1)**2
Determine n, given that n**2/3 + 963*n - 2890/3 = 0.
-2890, 1
Factor 3*r**3/5 - 849*r**2/5 + 11928*r + 60492/5.
3*(r - 142)**2*(r + 1)/5
Let -p**2 - 45*p + 94 = 0. Calculate p.
-47, 2
Determine h so that -h**4/2 - 81*h**3/2 + 337*h**2/2 - 255*h/2 = 0.
-85, 0, 1, 3
Factor 4*o**2/9 - 3616*o/9 + 817216/9.
4*(o - 452)**2/9
Suppose 2*u**2/7 + 24*u/7 - 26/7 = 0. What is u?
-13, 1
Let -k**5/2 + k**4 + k**3/2 - k**2 = 0. What is k?
-1, 0, 1, 2
Suppose -2*h**3 - 124*h**2 + 8*h + 496 = 0. What is h?
-62, -2, 2
What is f in f**4/3 + 4*f**3/3 - 19*f**2/3 + 14*f/3 = 0?
-7, 0, 1, 2
Factor 5*h**5 - 5*h**4 - 35*h**3 + 65*h**2 - 30*h.
5*h*(h - 2)*(h - 1)**2*(h + 3)
Find d such that 134*d**2/19 + 458*d/19 + 168/19 = 0.
-3, -28/67
Factor 3*y**2 - 1698*y.
3*y*(y - 566)
Find y, given that 3*y**3/5 + 1173*y**2/5 + 2337*y/5 + 1167/5 = 0.
-389, -1
Let -4*u**5 - 28*u**4 = 0. What is u?
-7, 0
Suppose -3*t**3/5 + 642*t**2/5 - 33696*t/5 - 69984/5 = 0. What is t?
-2, 108
Let -2*c**5 + 88*c**4 - 1050*c**3 + 1764*c**2 = 0. Calculate c.
0, 2, 21
Let o**3/5 - 3*o**2/5 + 2*o/5 = 0. What is o?
0, 1, 2
Factor p**2/5 - 18*p/5 + 32/5.
(p - 16)*(p - 2)/5
Solve 2*k**2/19 - 24*k/19 - 170/19 = 0 for k.
-5, 17
Find w, given that -2*w**4 + 212*w**3/7 - 1038*w**2/7 + 1712*w/7 - 32 = 0.
1/7, 4, 7
Factor -5*m**5/3 - 25*m**4/3 - 10*m**3 + 20*m**2/3 + 40*m/3.
-5*m*(m - 1)*(m + 2)**3/3
What is p in p**2/3 - 5126*p/3 = 0?
0, 5126
Suppose -5*k**5 + 15*k**4 + 230*k**3 - 240*k**2 = 0. What is k?
-6, 0, 1, 8
Factor -3*h**4/7 - 429*h**3/7 - 2160*h**2 + 15552*h/7.
-3*h*(h - 1)*(h + 72)**2/7
Factor -250*d**3 + 504*d**2 - 258*d + 4.
-2*(d - 1)**2*(125*d - 2)
What is u in 4*u**4 - 248*u**3 + 704*u**2 + 248*u - 708 = 0?
-1, 1, 3, 59
Factor -4*n**3 - 108*n**2 + 484*n - 372.
-4*(n - 3)*(n - 1)*(n + 31)
Factor 16*i**4/5 + 144*i**3/5 + 148*i**2/5 - 792*i/5 + 484/5.
4*(i - 1)**2*(2*i + 11)**2/5
Solve -20*m**5 - 5155*m**4 + 11690*m**3 - 2600*m**2 = 0.
-260, 0, 1/4, 2
Suppose 5*c**5 - 2150*c**4 + 308880*c**3 - 14927770*c**2 + 14621035*c = 0. Calculate c.
0, 1, 143
Determine d so that 2*d**2 - 32*d + 128 = 0.
8
Factor k**3/6 + 7*k**2/6 + 5*k/3.
k*(k + 2)*(k + 5)/6
Factor j**5 + j**4 - 16*j**3 + 20*j**2.
j**2*(j - 2)**2*(j + 5)
Determine z, given that -32*z**4/3 - 2416*z**3 - 3602*z**2/3 + 1054*z - 452/3 = 0.
-226, -1, 1/4
Suppose -15*d**5/4 + 3*d**4/2 = 0. What is d?
0, 2/5
Suppose -4*v**3 - 232*v**2 + 748*v + 976 = 0. Calculate v.
-61, -1, 4
Factor r**3/4 - 87*r**2/4 + 1071*r/4 + 39015/4.
(r - 51)**2*(r + 15)/4
Factor -2*k**3 - 4*k**2 + 26*k - 20.
-2*(k - 2)*(k - 1)*(k + 5)
Suppose -20*n**4/9 - 124*n**3/3 + 13852*n**2/9 + 2860*n/3 - 5624/9 = 0. What is n?
-37, -1, 2/5, 19
Factor 3*x**3 + 102*x**2 - 105*x.
3*x*(x - 1)*(x + 35)
What is n in n**2 - 73*n + 72 = 0?
1, 72
Solve -44*s**3/7 - 135*s**2/7 - 97*s/7 - 6/7 = 0 for s.
-2, -1, -3/44
Factor n**2/2 + 3*n/2.
n*(n + 3)/2
Let 16*q**3 + 588*q**2 - 148*q = 0. What is q?
-37, 0, 1/4
Determine j, given that -8*j**5/5 + 162*j**4/5 + 488*j**3/5 + 412*j**2/5 + 48*j/5 - 46/5 = 0.
-1, 1/4, 23
Factor 15842*m**5 - 49662*m**4 + 54006*m**3 - 22466*m**2 + 2352*m - 72.
2*(m - 1)**3*(89*m - 6)**2