19 = 0.
-5, -2, -1, 3/7, 1
Factor -j**3/4 - 103*j**2/4 - 51*j/2.
-j*(j + 1)*(j + 102)/4
Factor -160*t**3 - 1132*t**2 - 1044*t - 72.
-4*(t + 1)*(t + 6)*(40*t + 3)
Let -2*z**5 + 8*z**4 - 8*z**3 = 0. What is z?
0, 2
Factor -64*n**4/3 + 16*n**3/3 + 13*n**2 + 3*n.
-n*(n - 1)*(8*n + 3)**2/3
Find j such that 2*j**3/7 - 8*j**2/7 - 64*j/7 = 0.
-4, 0, 8
Determine u, given that -2*u**2/11 - 60*u/11 + 128/11 = 0.
-32, 2
Solve -3*u**5 - 3*u**4 + 24*u**3 + 24*u**2 - 48*u - 48 = 0 for u.
-2, -1, 2
Factor -2*k**2/7 + 188*k/7 - 4418/7.
-2*(k - 47)**2/7
Factor j**2/4 + 17*j/2 - 35/4.
(j - 1)*(j + 35)/4
Factor -4*d**2 + 60*d - 104.
-4*(d - 13)*(d - 2)
Let 2*j**5 + 20*j**4 + 72*j**3 + 108*j**2 + 54*j = 0. What is j?
-3, -1, 0
Factor -5*v**3 + 125*v**2 + 130*v.
-5*v*(v - 26)*(v + 1)
Find d such that d**3/4 - 85*d**2/4 + 167*d/4 - 83/4 = 0.
1, 83
Factor 4*s**3 - 216*s**2.
4*s**2*(s - 54)
Factor -3*b**3/4 - 9*b**2/4 + 15*b/2.
-3*b*(b - 2)*(b + 5)/4
Suppose 48*i**5 - 456*i**4 + 339*i**3 + 3714*i**2 + 1764*i + 216 = 0. Calculate i.
-2, -1/4, 6
Factor 3*s**2 - 222*s - 3096.
3*(s - 86)*(s + 12)
Determine c, given that 2*c**5/7 + 44*c**4/7 - 110*c**3/7 - 4544*c**2/7 + 4608*c/7 = 0.
-16, 0, 1, 9
Factor c**2 + 523*c + 1042.
(c + 2)*(c + 521)
Suppose -3*q**3 - 33*q**2 + 12*q + 132 = 0. What is q?
-11, -2, 2
Solve -972*c**2 + 108*c - 3 = 0.
1/18
Solve 36*k**2 - 172*k - 40 = 0 for k.
-2/9, 5
Suppose h**4/9 + 37*h**3/9 - 595*h**2/3 + 1675*h = 0. What is h?
-67, 0, 15
Factor -x**2/4 - 16*x - 63/4.
-(x + 1)*(x + 63)/4
What is i in 16*i**3 + 74*i**2 + 66*i - 36 = 0?
-3, -2, 3/8
Factor 5*i**3/4 + 47*i**2/4 + 32*i + 27.
(i + 2)**2*(5*i + 27)/4
Determine c so that -2*c**2/7 + 14024*c/7 - 24584072/7 = 0.
3506
Factor 4*t**4 + 1188*t**3 + 85180*t**2 - 451188*t + 364816.
4*(t - 4)*(t - 1)*(t + 151)**2
Factor -t**2/6 - t + 8/3.
-(t - 2)*(t + 8)/6
Factor 2*a**2 + 80*a + 558.
2*(a + 9)*(a + 31)
Solve 4*f**2 + 28*f + 24 = 0.
-6, -1
Factor -3*h**2 + 21*h + 432.
-3*(h - 16)*(h + 9)
Factor -3*d**3 - 6*d**2 + 171*d - 162.
-3*(d - 6)*(d - 1)*(d + 9)
Determine n so that 2*n**2/5 - 152*n/5 + 448 = 0.
20, 56
Factor -2*q**3 + 34*q**2 + 168*q.
-2*q*(q - 21)*(q + 4)
Factor -2*d**3 + 20*d**2 + 2*d - 20.
-2*(d - 10)*(d - 1)*(d + 1)
Suppose -12*j**4/7 - 2589*j**3/7 - 276*j**2 + 645*j/7 = 0. Calculate j.
-215, -1, 0, 1/4
Factor 2*h**2 - 796*h + 79202.
2*(h - 199)**2
Let -2523*l**4 - 2958*l**3 + 1221*l**2 + 1224*l - 432 = 0. Calculate l.
-1, 12/29
Factor 3*j**3 + 486*j**2 + 483*j.
3*j*(j + 1)*(j + 161)
Factor -x**5/6 + x**4/3.
-x**4*(x - 2)/6
Factor 5*n**3 + 240*n**2 + 3840*n + 20480.
5*(n + 16)**3
Factor -2*u**2/5 - 4*u.
-2*u*(u + 10)/5
Factor 3*i**3 - 63*i - 60.
3*(i - 5)*(i + 1)*(i + 4)
Find y, given that 37*y**2/2 + 187*y/2 + 5 = 0.
-5, -2/37
Factor -2*l**4 + 72*l**3 - 864*l**2 + 3456*l.
-2*l*(l - 12)**3
What is k in 3*k**2 + 108*k - 228 = 0?
-38, 2
Factor -u**3/2 - 15*u**2/2 + 33*u/2 - 17/2.
-(u - 1)**2*(u + 17)/2
Factor 5*z**3 + 6345*z**2 + 2016120*z + 2009780.
5*(z + 1)*(z + 634)**2
Factor 3*j**4 + 33*j**3 + 126*j**2 + 204*j + 120.
3*(j + 2)**3*(j + 5)
Factor a**3/4 + 2*a**2 - 31*a/4 + 11/2.
(a - 2)*(a - 1)*(a + 11)/4
Suppose -3*x**2 - 162*x + 165 = 0. What is x?
-55, 1
Factor 6*j**2 - 87*j + 81.
3*(j - 1)*(2*j - 27)
Factor -98*t**5 + 16016*t**4 - 649776*t**3 - 375232*t**2 - 53792*t.
-2*t*(t - 82)**2*(7*t + 2)**2
Factor -l**3 + 6*l**2 - 8*l.
-l*(l - 4)*(l - 2)
Suppose -6*l**4 - 56*l**3/11 + 2368*l**2/11 + 2016*l/11 + 288/11 = 0. What is l?
-6, -2/3, -2/11, 6
Factor 5*q**3 + 70*q**2.
5*q**2*(q + 14)
Let 5*c**2 + 875*c + 870 = 0. Calculate c.
-174, -1
Solve 4*f**3 + 84*f**2 + 576*f + 1296 = 0 for f.
-9, -6
Determine k, given that -k**2/3 - 110*k - 9075 = 0.
-165
Let 15*k**4 + 20*k**3 - 55*k**2 - 80*k - 20 = 0. Calculate k.
-2, -1, -1/3, 2
Find l, given that -l**4/3 - 13*l**3/3 - 22*l**2/3 = 0.
-11, -2, 0
Factor 3*j**2 - 6087*j/2 - 3045/2.
3*(j - 1015)*(2*j + 1)/2
Factor -3*c**2 + 21*c + 6732.
-3*(c - 51)*(c + 44)
Find h such that -2*h**5 - 536*h**4 - 35912*h**3 = 0.
-134, 0
Factor x**2 + 569*x.
x*(x + 569)
Factor -2*i**4 - 6*i**3 + 6*i**2 + 14*i - 12.
-2*(i - 1)**2*(i + 2)*(i + 3)
Find u, given that -2*u**3/5 - 228*u**2 + 4584*u/5 - 4592/5 = 0.
-574, 2
Solve 5*j**2 - 13580*j + 9220820 = 0.
1358
Let 16*t**2/7 + 1732*t/7 + 432/7 = 0. What is t?
-108, -1/4
Let 13*l**3 + 55*l**2 + 64*l + 12 = 0. What is l?
-2, -3/13
What is s in 2*s**2/7 + 48*s/7 - 162/7 = 0?
-27, 3
Factor 3*d**3/5 - 72*d**2/5 + 576*d/5 - 1536/5.
3*(d - 8)**3/5
Find s such that -12*s**5 + 476*s**4 - 5100*s**3 + 7524*s**2 - 2888*s = 0.
0, 2/3, 1, 19
Factor -2*i**3 + 810*i**2 - 82416*i + 81608.
-2*(i - 202)**2*(i - 1)
Factor 2*u**4/7 + 30*u**3/7 - 32*u**2/7.
2*u**2*(u - 1)*(u + 16)/7
Factor -98*z**4 - 8568*z**3 + 4920*z**2 - 704*z.
-2*z*(z + 88)*(7*z - 2)**2
Find u such that 7*u**5/5 + 24*u**4/5 + 23*u**3/5 + 6*u**2/5 = 0.
-2, -1, -3/7, 0
Factor -5*d**3 - 385*d**2 + 785*d - 395.
-5*(d - 1)**2*(d + 79)
Solve -4*n**3 - 60*n**2 + 144*n + 1280 = 0.
-16, -4, 5
Factor q**3/3 - 22*q**2/3 + 140*q/3 - 200/3.
(q - 10)**2*(q - 2)/3
Find g such that -g**2/3 - 8*g/3 - 7/3 = 0.
-7, -1
Suppose -2*j**3 - 30*j**2/11 + 36*j/11 + 16/11 = 0. Calculate j.
-2, -4/11, 1
Factor 2*w**3/21 + 24*w**2/7 + 562*w/21 + 52.
2*(w + 3)*(w + 7)*(w + 26)/21
Factor -o**4 + 24*o**3 - 85*o**2 + 102*o - 40.
-(o - 20)*(o - 2)*(o - 1)**2
Determine r, given that -2505*r**2/2 - 830*r + 10/3 = 0.
-2/3, 2/501
Determine m so that 4*m**5 + 8*m**4 - 8*m**3 - 16*m**2 + 4*m + 8 = 0.
-2, -1, 1
Factor -4*u**4 - 20*u**3 - 32*u**2 - 16*u.
-4*u*(u + 1)*(u + 2)**2
Factor -2*p**4/9 - 20*p**3/9 - 34*p**2/9 - 16*p/9.
-2*p*(p + 1)**2*(p + 8)/9
Factor -2*y**3 + 58*y**2 - 56*y.
-2*y*(y - 28)*(y - 1)
Solve 2*l**4 - 16*l**3 - 96*l**2 = 0 for l.
-4, 0, 12
Determine u so that -u**3/4 - 479*u**2/2 - 957*u/4 = 0.
-957, -1, 0
Factor -h**5 - 80*h**4 + 164*h**3.
-h**3*(h - 2)*(h + 82)
Factor 7*t**3/2 - 13*t**2/4 - t/4.
t*(t - 1)*(14*t + 1)/4
Factor -n**3/5 + 20*n**2 - 573*n/5 + 846/5.
-(n - 94)*(n - 3)**2/5
Factor 147*j**2/4 + 693*j/2 + 3267/4.
3*(7*j + 33)**2/4
Factor 3*p**3 + 648*p**2 + 34335*p - 71286.
3*(p - 2)*(p + 109)**2
Solve -2*r**2/7 + 32*r/7 = 0.
0, 16
Factor -p**5 - 5*p**4 + 32*p**3 - 36*p**2.
-p**2*(p - 2)**2*(p + 9)
Find m such that m**4/6 - m**3/3 = 0.
0, 2
Solve -6*s**5/7 + 2*s**4 + 2*s**3 - 6*s**2/7 = 0.
-1, 0, 1/3, 3
Factor -2*p**5 + 20*p**4 - 74*p**3 + 120*p**2 - 72*p.
-2*p*(p - 3)**2*(p - 2)**2
Factor -340*z**2/3 + 1708*z/3 - 40/3.
-4*(z - 5)*(85*z - 2)/3
Factor 3*m**3 + 15*m**2 - 6*m - 72.
3*(m - 2)*(m + 3)*(m + 4)
Solve -2*z**4/3 + 974*z**3 - 1065794*z**2/3 - 358190*z + 2137444/3 = 0 for z.
-2, 1, 731
Let -k**2/4 - 12*k - 144 = 0. What is k?
-24
Determine d so that 2*d**3/5 - 46*d**2/5 - 156*d/5 = 0.
-3, 0, 26
Suppose m**3/2 + 25*m**2/2 + 67*m - 80 = 0. Calculate m.
-16, -10, 1
Suppose 50*o**5 + 98*o**4 - 4*o**3 - 100*o**2 - 46*o + 2 = 0. Calculate o.
-1, 1/25, 1
Determine n, given that -244*n**3 - 236*n**2 + 4888*n - 160 = 0.
-5, 2/61, 4
Factor 2*z**2/9 + 10*z/3 + 52/9.
2*(z + 2)*(z + 13)/9
Factor 3*z**2 + 597*z - 600.
3*(z - 1)*(z + 200)
Factor -2*l**3 + 624*l**2 - 64896*l + 2249728.
-2*(l - 104)**3
Let 2*r**4/19 + 1866*r**3/19 + 436176*r**2/19 + 434312*r/19 = 0. What is r?
-466, -1, 0
Factor -2*m**3 + 1140*m**2 - 216600*m + 13718000.
-2*(m - 190)**3
Factor -g**2 - 7*g - 6.
-(g + 1)*(g + 6)
Factor h**4/5 + 51*h**3/5 + 569*h**2/5 - 2079*h/5 + 1458/5.
(h - 2)*(h - 1)*(h + 27)**2/5
Factor 3*c**4 - 102*c**3 + 1152*c**2 - 4320*c.
3*c*(c - 12)**2*(c - 10)
Factor 36*y**5/5 - 24*y**4 + 52*y**3/5 + 16*y**2 + 16*y/5.
4*y*(y - 2)**2*(3*y + 1)**2/5
Let 2*o**3/7 + 12*o**2/7 - 2*o = 0. Calculate o.
-7, 0, 1
Factor -8*f**3/7 - 20*f**2/7 + 92*f/7 - 40/7.
-4*(f - 2)*(f + 5)*(2*f - 1)/7
Factor -2*b**3/13 + 2*b/13.
-2*b*(b - 1)*(b + 1)/13
Let 4*l**3 - 276*l**2 + 272*l = 0. What is l?
0, 1, 68
Factor -t**3/7 + 6*t**2/7 + 13*t/7 - 6.
-(t - 7)*(t - 2)*(t + 3)/7
Factor 4*d**3 + 1080*d**2.
4*d**2*(d + 270)
Determine n so that 3*n**5/2 + 48*n**4 + 501*n**3 + 1872*n**2 + 4563*n/2 = 0.
-13, -3, 0
Let -2*o**4/11 - 2*o**3/11 + 12*o**2/11 + 8*o/11 - 16/11 = 0. What is o?
-2, 1, 2
Factor -2*b**4 + 8*b**3 + 204*b**2 + 376*b + 182.
-2*(b - 13)*(b + 1)**2*(b + 7)
Factor 3*v**2 - 525*v + 2550.
3*(v - 170)*(v - 5)
Det