.
-36, -1, 21
Factor 98*c**4 + 1232*c**3 + 3326*c**2 + 1608*c + 216.
2*(c + 3)*(c + 9)*(7*c + 2)**2
Let c**4/7 + 2*c**3/7 - 16*c**2/7 - 2*c/7 + 15/7 = 0. What is c?
-5, -1, 1, 3
Factor -15*s**3 + 260*s**2 + 180*s.
-5*s*(s - 18)*(3*s + 2)
What is s in -s**2/7 - 41*s/7 - 40/7 = 0?
-40, -1
Let 5*y**3 + 300*y**2 + 835*y - 1140 = 0. What is y?
-57, -4, 1
Suppose -4*s**3 - 28*s**2 + 112*s - 80 = 0. Calculate s.
-10, 1, 2
Determine z, given that z**2/3 - 11*z/3 + 10/3 = 0.
1, 10
Factor 10*n**2/13 - 192*n/13 - 160/13.
2*(n - 20)*(5*n + 4)/13
Suppose -7*q**3/2 + 9*q**2/2 - q = 0. Calculate q.
0, 2/7, 1
Let 4*t**3/3 + 124*t**2/3 - 416*t = 0. Calculate t.
-39, 0, 8
Find m, given that 2*m**2 - 20*m - 22 = 0.
-1, 11
Suppose -x**3/5 - 4*x**2 - 37*x/5 - 18/5 = 0. What is x?
-18, -1
Find v such that -4*v**2 + 84*v - 272 = 0.
4, 17
Let 2*q**2/9 + 24*q = 0. What is q?
-108, 0
What is a in -2*a**3/11 + 28*a**2/11 - 122*a/11 + 168/11 = 0?
3, 4, 7
Factor -3*b**5 + 51*b**4 - 264*b**3 + 432*b**2.
-3*b**2*(b - 9)*(b - 4)**2
Factor 5*d**5 + 110*d**4 + 485*d**3 - 1320*d**2 + 720*d.
5*d*(d - 1)**2*(d + 12)**2
Factor 2*k**3/3 - 58*k**2 - 60*k + 352/3.
2*(k - 88)*(k - 1)*(k + 2)/3
Factor -2*x**4/3 + 14*x**3/3 - 10*x**2 + 6*x.
-2*x*(x - 3)**2*(x - 1)/3
Solve 3*o**4/8 - 603*o**3/4 - 4857*o**2/8 - 1521*o/2 - 609/2 = 0.
-2, -1, 406
Let -l**2/12 + 341*l/12 - 113/2 = 0. What is l?
2, 339
Factor -2*w**3/7 - 4*w**2/7 + 22*w/7 + 24/7.
-2*(w - 3)*(w + 1)*(w + 4)/7
Suppose -10*d**5 - 5*d**4 + 40*d**3 + 5*d**2 - 30*d = 0. What is d?
-2, -1, 0, 1, 3/2
Let 45*h**4/4 + 6*h**3 - 46*h**2 - 24*h + 4 = 0. What is h?
-2, -2/3, 2/15, 2
Factor -5*z**3 + 35*z**2 - 80*z + 60.
-5*(z - 3)*(z - 2)**2
Factor -j**4 + 7*j**3 - 11*j**2 + 5*j.
-j*(j - 5)*(j - 1)**2
Factor -i**2/4 + 23*i/2 - 45/4.
-(i - 45)*(i - 1)/4
Find h such that -2*h**5 - 22*h**4 - 72*h**3 - 32*h**2 + 128*h = 0.
-4, 0, 1
Let 21*h**5/5 + 1287*h**4/5 - 456*h**3 - 756*h**2/5 = 0. Calculate h.
-63, -2/7, 0, 2
Factor 2*o**2/5 - 4*o/5 - 6/5.
2*(o - 3)*(o + 1)/5
Determine o so that -4*o**2/3 - 320*o/3 - 592 = 0.
-74, -6
Find g such that -g**5/3 + 9*g**4 - 98*g**3/3 - 1208*g**2/3 - 256*g + 2048/3 = 0.
-4, -2, 1, 16
Determine n so that 3*n**2/4 - 4122*n + 5663628 = 0.
2748
Let -20*c**3 - 136*c**2 - 224*c = 0. Calculate c.
-4, -14/5, 0
Solve h**5 + 7*h**4 + 7*h**3 - 15*h**2 = 0 for h.
-5, -3, 0, 1
Factor 3*y**3/7 + 72*y**2/7 + 393*y/7 - 468/7.
3*(y - 1)*(y + 12)*(y + 13)/7
Factor -5*g**3 + 5*g**2 + 170*g + 280.
-5*(g - 7)*(g + 2)*(g + 4)
Factor 125*p**3 - 3975*p**2 + 3120*p - 620.
5*(p - 31)*(5*p - 2)**2
Find x such that -8*x**2/13 + 66*x/13 - 16/13 = 0.
1/4, 8
Let 2*d**4/7 + 12*d**3/7 - 26*d**2/7 - 12*d = 0. Calculate d.
-7, -2, 0, 3
What is s in -s**3/2 + 38*s**2 + 665*s/2 + 294 = 0?
-7, -1, 84
Solve -2*j**2/3 + 20*j/3 + 16 = 0 for j.
-2, 12
Let 2*f**4/9 + 2*f**3/3 - 16*f**2/9 - 8*f/3 + 32/9 = 0. Calculate f.
-4, -2, 1, 2
Factor -2*g**3/3 + 50*g**2/3 - 16*g.
-2*g*(g - 24)*(g - 1)/3
Factor -2*o**3 + 2542*o**2 - 808990*o + 806450.
-2*(o - 635)**2*(o - 1)
Determine w, given that w**2/3 - w - 4/3 = 0.
-1, 4
Suppose 5*w**5 + 7*w**4/2 - 33*w**3/2 - w**2/2 + 23*w/2 - 3 = 0. What is w?
-2, -1, 3/10, 1
Suppose 2*l**4/5 + 18*l**3/5 + 6*l**2 - 10*l = 0. Calculate l.
-5, 0, 1
Let -16*x**5/3 - 24*x**4 - 89*x**3/3 + 22*x**2/3 + 35*x + 50/3 = 0. Calculate x.
-2, -5/4, -1, 1
What is d in 25*d**4/3 + 110*d**3/3 - 259*d**2/3 - 116*d/3 - 4 = 0?
-6, -1/5, 2
Factor r**5/2 - 5*r**4 + 4*r**3 + 32*r**2.
r**2*(r - 8)*(r - 4)*(r + 2)/2
Factor 122*t**4 - 1062*t**3 + 2970*t**2 - 2322*t - 972.
2*(t - 3)**3*(61*t + 18)
Determine q, given that -5*q**3 + 4815*q**2 - 1545615*q + 165380805 = 0.
321
Determine i, given that 4*i**5 + 396*i**4 + 1904*i**3 + 2256*i**2 = 0.
-94, -3, -2, 0
Factor s**2 - 69*s + 198.
(s - 66)*(s - 3)
Solve -s**2/6 - 218*s/3 + 146 = 0.
-438, 2
Let -16*p**3 - 2156*p**2 + 4924*p - 1096 = 0. Calculate p.
-137, 1/4, 2
Factor -2*v**3/9 - 28*v**2/9 - 64*v/9 + 256/9.
-2*(v - 2)*(v + 8)**2/9
Determine k so that -k**4 - 7*k**3 - 12*k**2 + 4*k + 16 = 0.
-4, -2, 1
Factor -3*d**2 + 3*d.
-3*d*(d - 1)
Solve 162*u**4/5 + 144*u**3 - 514*u**2/5 - 328*u/5 - 8 = 0 for u.
-5, -2/9, 1
What is y in 2*y**3/9 + 412*y**2/9 - 830*y/9 + 416/9 = 0?
-208, 1
Factor r**2 - 46*r + 45.
(r - 45)*(r - 1)
Factor -3*m**2 + 165*m - 1548.
-3*(m - 43)*(m - 12)
Determine k so that 4*k**4 + 172*k**3 + 168*k**2 = 0.
-42, -1, 0
Factor 3*x**4 + 6*x**3 + 3*x**2.
3*x**2*(x + 1)**2
Determine l so that -3*l**4/4 + 21*l**3/2 + 93*l**2/4 + 12*l = 0.
-1, 0, 16
Solve 12*o**2 + 6232*o + 8288 = 0.
-518, -4/3
Suppose -7*y**3/4 + 33*y**2/4 - 45*y/4 + 19/4 = 0. What is y?
1, 19/7
Factor 4*s**4 + 36*s**3 + 88*s**2 - 128.
4*(s - 1)*(s + 2)*(s + 4)**2
Factor -3*m**3 + 39*m**2 - 69*m + 33.
-3*(m - 11)*(m - 1)**2
Let h**4/10 + 43*h**3/10 - 69*h**2/5 + 2*h/5 + 92/5 = 0. What is h?
-46, -1, 2
Factor -3*n**3 - 10*n**2 - 4*n + 8.
-(n + 2)**2*(3*n - 2)
Factor 3*i**3/7 - 6*i**2/7 - 60*i/7 - 72/7.
3*(i - 6)*(i + 2)**2/7
Factor 3*v**3 - 201*v**2 + 3264*v + 3468.
3*(v - 34)**2*(v + 1)
Factor -4*x**4 + 20*x**3 + 16*x**2 - 80*x.
-4*x*(x - 5)*(x - 2)*(x + 2)
Factor 2*x**2 + 4*x - 1566.
2*(x - 27)*(x + 29)
Determine h, given that -5*h**4 + 70*h**3 - 180*h**2 - 1080*h + 4320 = 0.
-4, 6
Solve 4*p**4/5 + 188*p**3/5 + 544*p**2 + 2240*p = 0.
-20, -7, 0
Let 2*o**4 + 5*o**3/2 - 15*o**2/2 - 10*o - 2 = 0. What is o?
-2, -1, -1/4, 2
Factor 2*a**3 - 68*a**2 + 62*a + 132.
2*(a - 33)*(a - 2)*(a + 1)
Factor 2*a**2/3 - 8*a/3 - 10/3.
2*(a - 5)*(a + 1)/3
Factor 27*w**4/5 + 33*w**3/5 + 6*w**2/5.
3*w**2*(w + 1)*(9*w + 2)/5
Factor g**3 - 19*g**2 + 63*g - 45.
(g - 15)*(g - 3)*(g - 1)
Find f, given that -18*f**3/5 - 94*f**2/5 - 128*f/5 - 24/5 = 0.
-3, -2, -2/9
Suppose -16*l**4 + 228*l**3 - 392*l**2 - 492*l + 144 = 0. Calculate l.
-1, 1/4, 3, 12
Let i**5/2 + 13*i**4/2 - 3*i**3 - 171*i**2 + 405*i/2 + 729/2 = 0. What is i?
-9, -1, 3
Factor -2*t**3 - 64*t**2 - 38*t + 744.
-2*(t - 3)*(t + 4)*(t + 31)
Factor -4*s**3 + 60*s**2 + 136*s.
-4*s*(s - 17)*(s + 2)
What is t in t**3/3 - 19*t**2/3 - 145*t/3 - 125/3 = 0?
-5, -1, 25
Solve 2*b**5/9 - 2*b**4 - 106*b**3/9 - 2*b**2/3 + 392*b/9 + 104/3 = 0.
-3, -2, -1, 2, 13
Suppose -3*p**2 - 420*p - 417 = 0. What is p?
-139, -1
Factor k**3 - k**2 - 4*k + 4.
(k - 2)*(k - 1)*(k + 2)
Let 16*f**4 - 980*f**3 + 244*f**2 = 0. Calculate f.
0, 1/4, 61
Let 2*q**4 - 18*q**3 - 124*q**2 - 216*q - 112 = 0. What is q?
-2, -1, 14
Solve -4*d**2/3 - 136*d + 832/3 = 0 for d.
-104, 2
Determine x so that 484*x**5/7 - 880*x**4/7 - 3384*x**3/7 + 1296*x**2 - 756*x = 0.
-3, 0, 1, 21/11
Solve -z**4 - 23*z**3 - 177*z**2 - 513*z - 486 = 0 for z.
-9, -3, -2
Factor 2*i**3/3 + 26*i**2/3 + 8*i.
2*i*(i + 1)*(i + 12)/3
Factor -j**4 + 4*j**3.
-j**3*(j - 4)
What is r in -9*r**5 - 66*r**4 - 72*r**3 + 288*r**2 + 384*r = 0?
-4, -4/3, 0, 2
What is g in 2*g**4/5 = 0?
0
Determine j, given that -4*j**2/5 + 2*j/5 + 2/5 = 0.
-1/2, 1
Determine g so that 2*g**4 - 46*g**3 - 152*g**2 - 104*g = 0.
-2, -1, 0, 26
Find o such that 5*o**2 - 410*o + 8405 = 0.
41
Factor -2*o**4/5 + 44*o**3/5 - 152*o**2/5 + 144*o/5.
-2*o*(o - 18)*(o - 2)**2/5
Factor -d**4/6 + d**3 - 13*d**2/6 + 2*d - 2/3.
-(d - 2)**2*(d - 1)**2/6
Factor 4*g**2 + 36016*g + 81072016.
4*(g + 4502)**2
What is k in k**4/4 - 407*k**3 + 165649*k**2 = 0?
0, 814
Factor 3*t**5 - 63*t**4 + 432*t**3 - 960*t**2.
3*t**2*(t - 8)**2*(t - 5)
Factor t**3/2 + 15*t**2/2 + 13*t.
t*(t + 2)*(t + 13)/2
Factor 2*l**2/11 + 8*l/11 - 64/11.
2*(l - 4)*(l + 8)/11
Let -21*z**2 + 129*z - 108 = 0. Calculate z.
1, 36/7
Factor -3*m**3 + 36*m**2 - 108*m.
-3*m*(m - 6)**2
Determine l so that 3*l**3 + 21*l**2 + 21*l - 45 = 0.
-5, -3, 1
Find t, given that -t**2/9 + 128*t/9 - 4096/9 = 0.
64
Factor d**4/3 + 6*d**3 + 56*d**2/3.
d**2*(d + 4)*(d + 14)/3
Solve 2*j**2/9 + 1012*j/9 - 338/3 = 0 for j.
-507, 1
Let -5*i**2 - 242*i - 14641/5 = 0. What is i?
-121/5
Let v**2 - 180*v + 8100 = 0. Calculate v.
90
Determine i so that 4*i**3/7 - 12*i**2/7 - 180*i/7 + 100 = 0.
-7, 5
Suppose f**3/7 + 58*f**2 + 5887*f = 0. What is f?
-203, 0
Factor 2*h**2 + 92*h + 1058.
2*(h + 23)**2
Determine g so that -2*g**4 - 40*g**3 + 468*g**2 - 1512*g + 1566 = 0.
-29, 3
Factor -5*r**3 + 240*r - 640.
-5*(r - 4)**2*(r + 8)
Suppose 2*x**3 - 20*x**2 + 18*x = 0. Calculate x.
0, 