2/9 = 0?
-1/2, 1
Solve 2*q**2/7 - 68*q/7 - 304/7 = 0 for q.
-4, 38
Determine w so that -15*w**5/2 - 159*w**4/2 - 429*w**3/2 - 357*w**2/2 + 6*w + 42 = 0.
-7, -2, -1, 2/5
What is d in 169*d**4/3 + 104*d**3/3 - 397*d**2/3 + 136*d/3 - 4 = 0?
-2, 2/13, 3/13, 1
Let -4*g**2 - 404*g - 792 = 0. Calculate g.
-99, -2
Find l, given that 5*l**3 - 360*l**2 + 1380*l - 1360 = 0.
2, 68
Suppose -y**5/3 + 2*y**4/3 + 64*y**3/3 - 2*y**2/3 - 21*y = 0. What is y?
-7, -1, 0, 1, 9
Factor 3*v**3/7 - 48*v**2/7 + 15*v + 156/7.
3*(v - 13)*(v - 4)*(v + 1)/7
Factor -d**2/2 + 10*d.
-d*(d - 20)/2
Let 2*g**2/7 + 6*g/7 + 4/7 = 0. What is g?
-2, -1
Factor 11*s**4 - 80*s**3 + 109*s**2 + 152*s - 48.
(s - 4)**2*(s + 1)*(11*s - 3)
Factor -2*n**4/5 - 2*n**3/5 + 8*n**2/5 + 8*n/5.
-2*n*(n - 2)*(n + 1)*(n + 2)/5
Suppose 3*t**5 - 21*t**4 + 45*t**3 - 39*t**2 + 12*t = 0. What is t?
0, 1, 4
Factor -6*h**3 - 34*h**2 + 124*h + 96.
-2*(h - 3)*(h + 8)*(3*h + 2)
Find u, given that u**3/5 + 56*u**2/5 + 261*u/5 + 306/5 = 0.
-51, -3, -2
Find g such that g**4/6 + 38*g**3/3 + 253*g**2 + 1406*g/3 + 1369/6 = 0.
-37, -1
Find d such that -1250*d**2/9 + 5600*d - 56448 = 0.
504/25
Solve -l**3 + 27*l**2 + 120*l + 124 = 0.
-2, 31
Factor -l**3 + 5*l**2 + 97*l + 91.
-(l - 13)*(l + 1)*(l + 7)
Factor 15*t**2 - 21081*t + 8430.
3*(t - 1405)*(5*t - 2)
Find a, given that -31*a**4/3 - 95*a**3/3 - 2*a**2 = 0.
-3, -2/31, 0
Factor -u**2 - 39*u + 82.
-(u - 2)*(u + 41)
Determine n so that 2*n**5 + 16*n**4 + 46*n**3 + 56*n**2 + 24*n = 0.
-3, -2, -1, 0
Factor -2*b**3/3 + 38*b**2/3 - 160*b/3 - 200/3.
-2*(b - 10)**2*(b + 1)/3
Determine t, given that -2*t**5/9 + 16*t**4/9 - 8*t**3/9 - 160*t**2/9 + 128*t/9 + 512/9 = 0.
-2, 4
Let -22*p**4/9 - 13592*p**3/9 - 694816*p**2/3 + 4607840*p/9 - 768800/9 = 0. Calculate p.
-310, 2/11, 2
Determine l so that -2*l**2/7 + 18*l/7 - 36/7 = 0.
3, 6
Let -3*z**2 + 93*z - 702 = 0. What is z?
13, 18
What is f in -2*f**3 + 6*f**2 - 6*f + 2 = 0?
1
Factor 2*x**2/3 - 86*x/3 - 88/3.
2*(x - 44)*(x + 1)/3
Suppose -y**4/5 + 3*y**3/5 = 0. What is y?
0, 3
Let -z**4/3 + z**3/3 + 2*z**2/3 = 0. What is z?
-1, 0, 2
Let 96*u**5/5 - 176*u**4/5 + 38*u**3/5 + 72*u**2/5 - 34*u/5 + 4/5 = 0. Calculate u.
-2/3, 1/4, 1
Let 21*f**4 + 1056*f**3 + 17100*f**2 + 88800*f + 24000 = 0. What is f?
-20, -10, -2/7
Find i, given that -3*i**4/5 - 132*i**3/5 + 864*i**2/5 - 1776*i/5 + 240 = 0.
-50, 2
Solve m**5/3 + 230*m**4/3 + 4559*m**3 + 51980*m**2/3 + 51076*m/3 = 0.
-113, -2, 0
Factor -2*o**2/5 - 32*o/5 + 34/5.
-2*(o - 1)*(o + 17)/5
Let 5*l**2/2 + 145*l/2 + 195 = 0. Calculate l.
-26, -3
Factor p**2 + 61*p - 260.
(p - 4)*(p + 65)
Factor 36*k**4 + 984*k**3 + 7348*k**2 + 8528*k + 2704.
4*(k + 13)**2*(3*k + 2)**2
Let 4*r**4/3 - 32*r**3/3 + 32*r**2 - 128*r/3 + 64/3 = 0. What is r?
2
Find a such that 4*a**4/3 + 20*a**3/3 - 56*a**2/3 = 0.
-7, 0, 2
Factor -4*f**2/7 + 4*f/7.
-4*f*(f - 1)/7
Solve -6*p**3/13 - 38*p**2/13 + 76*p/13 - 32/13 = 0.
-8, 2/3, 1
Let -2*o**4/9 - 64*o**3/9 + 2*o**2/3 + 188*o/9 - 128/9 = 0. Calculate o.
-32, -2, 1
Solve -2*d**3/11 - 4*d**2/11 + 6*d/11 = 0.
-3, 0, 1
Let -2*x**2/9 - 16868*x/9 - 35566178/9 = 0. Calculate x.
-4217
Factor -b**4 - 12*b**3 - 30*b**2 + 100*b + 375.
-(b - 3)*(b + 5)**3
Factor 5*z**2 - 40*z + 35.
5*(z - 7)*(z - 1)
Factor 4*n**2 - 56*n + 132.
4*(n - 11)*(n - 3)
Factor 3*q**3/2 - 135*q**2/2 - 27*q/2 + 1215/2.
3*(q - 45)*(q - 3)*(q + 3)/2
Let -385*c**4 - 810*c**3 - 60*c**2 + 40*c = 0. Calculate c.
-2, -2/7, 0, 2/11
Factor -5*v**5 + 30*v**4 + 35*v**3.
-5*v**3*(v - 7)*(v + 1)
Let 1629*z**2/8 - 1635*z/8 + 3/4 = 0. Calculate z.
2/543, 1
Solve -3*h**2/4 - 15*h/4 - 9/2 = 0.
-3, -2
Factor n**3/4 - 3*n**2/2 + 3*n/4 + 5/2.
(n - 5)*(n - 2)*(n + 1)/4
Factor 5*o**3 - 75*o**2 - 80*o.
5*o*(o - 16)*(o + 1)
Determine m, given that -m**2 + 2*m - 1 = 0.
1
What is d in 3*d**2 - 1770*d - 3552 = 0?
-2, 592
Find w, given that -540*w**3 + 552*w**2 - 4*w - 8 = 0.
-1/9, 2/15, 1
Factor -2*q**3 - 20*q**2 - 66*q - 72.
-2*(q + 3)**2*(q + 4)
Factor -4*d**4/3 + 4*d**3 + 4*d**2/3 - 4*d.
-4*d*(d - 3)*(d - 1)*(d + 1)/3
Find k such that -2*k**5/5 + 4*k**4/5 + 54*k**3/5 + 104*k**2/5 + 56*k/5 = 0.
-2, -1, 0, 7
Factor 5*w**2 - 740*w + 1460.
5*(w - 146)*(w - 2)
Factor 3*l**2 - 759*l.
3*l*(l - 253)
Determine k so that 8*k**5 + 44*k**4 + 48*k**3 - 4*k**2 - 16*k = 0.
-4, -1, 0, 1/2
Factor -20*r**2/7 - 244*r/7 + 568/7.
-4*(r - 2)*(5*r + 71)/7
Suppose -4*k**5 - 16*k**4 + 112*k**3 - 128*k**2 = 0. What is k?
-8, 0, 2
Factor 2*z**3/21 + 16*z**2/21 - 2*z/21 - 16/21.
2*(z - 1)*(z + 1)*(z + 8)/21
Suppose i**2 + 10*i = 0. Calculate i.
-10, 0
Factor -102*v**5 - 201*v**4 - 96*v**3 + 3*v**2.
-3*v**2*(v + 1)**2*(34*v - 1)
Factor 2*z**2/19 + 50*z/19 - 3132/19.
2*(z - 29)*(z + 54)/19
Factor -80*q**2 - 28*q + 12.
-4*(4*q - 1)*(5*q + 3)
Factor 3*z**2 + 846*z + 59643.
3*(z + 141)**2
What is o in -220*o**3 - 1912*o**2 + 800*o = 0?
-100/11, 0, 2/5
Find r, given that -3*r**3 + 30*r**2 - 51*r + 24 = 0.
1, 8
What is t in t**4/3 + 10*t**3/3 - 232*t**2/3 - 10*t/3 + 77 = 0?
-21, -1, 1, 11
Suppose 2*x**2 - x - 3 = 0. Calculate x.
-1, 3/2
Factor -2*k**2/5 - 66*k/5 + 68/5.
-2*(k - 1)*(k + 34)/5
Factor 5*g**2 + 340*g + 660.
5*(g + 2)*(g + 66)
Factor -5*h**2/3 + 22*h/3 - 8/3.
-(h - 4)*(5*h - 2)/3
Find x such that 4*x**4 - 556*x**3 - 4652*x**2 - 7620*x - 3528 = 0.
-6, -1, 147
Factor b**3 - 521*b**2 + 68120*b - 67600.
(b - 260)**2*(b - 1)
Factor a**4/5 - 11*a**3/5 + 24*a**2/5 + 36*a/5.
a*(a - 6)**2*(a + 1)/5
Solve 3*i**3/5 - 459*i**2 + 117045*i - 9948825 = 0.
255
Suppose -8*g**2/7 + 572*g - 2000/7 = 0. Calculate g.
1/2, 500
Find z such that 9*z**5/4 - 1725*z**4/4 - 5823*z**3/4 - 5259*z**2/4 - 585*z/2 = 0.
-2, -1, -1/3, 0, 195
Factor -y**2/4 - 125*y/2 + 251/4.
-(y - 1)*(y + 251)/4
Determine w so that 3*w**4/5 - 39*w**3/5 + 54*w**2/5 + 96*w + 384/5 = 0.
-2, -1, 8
Determine s, given that -2*s**3/7 - 162*s**2/7 - 3510*s/7 - 9126/7 = 0.
-39, -3
Suppose 3*l**3 + 72*l**2 - 633*l + 558 = 0. Calculate l.
-31, 1, 6
Factor 3*y**2 + 18*y.
3*y*(y + 6)
Factor q**4/4 - 17*q**3/2 + 33*q**2/4.
q**2*(q - 33)*(q - 1)/4
What is z in -z**4/6 + 95*z**3/6 + 49*z**2 = 0?
-3, 0, 98
Factor -9*u**3/7 + 33*u**2/7 + 18*u/7 - 24/7.
-3*(u - 4)*(u + 1)*(3*u - 2)/7
Factor -5*m**4/2 - 9*m**3/2 + 17*m**2/2 - 3*m/2.
-m*(m - 1)*(m + 3)*(5*m - 1)/2
Factor -18*j**4/5 + 13812*j**3/5 - 18392*j**2/5 + 6128*j/5.
-2*j*(j - 766)*(3*j - 2)**2/5
Factor 3*b**2/7 - 3201*b/7.
3*b*(b - 1067)/7
Find h such that 75*h**5/2 + 45*h**4/4 - 261*h**3/4 - 48*h**2 - 9*h = 0.
-1, -2/5, 0, 3/2
Find k such that -9*k**2/4 - 2361*k + 1575 = 0.
-1050, 2/3
Solve -4*m**3 - 2448*m**2 - 372084*m + 753992 = 0.
-307, 2
Factor -q**3/6 + 61*q**2 - 11163*q/2.
-q*(q - 183)**2/6
Suppose -3*d**5 + 3*d**3 = 0. What is d?
-1, 0, 1
Determine a so that 5*a**2 - 215*a - 220 = 0.
-1, 44
Find x, given that -5*x**2 - 40*x - 35 = 0.
-7, -1
Determine p, given that p**4/2 - 9*p**2 - 16*p - 15/2 = 0.
-3, -1, 5
Let -l**5 - 2*l**4 + 41*l**3 - 62*l**2 - 40*l + 64 = 0. What is l?
-8, -1, 1, 2, 4
Factor 6*p**2/23 - 1490*p/23 + 496/23.
2*(p - 248)*(3*p - 1)/23
Let -3*y**2/4 + 69*y/4 - 33/2 = 0. Calculate y.
1, 22
Determine r, given that -r**3 + 28*r - 48 = 0.
-6, 2, 4
What is w in -4*w**3 + 8708*w**2 - 4743680*w + 4734976 = 0?
1, 1088
Find k such that -2*k**5 + 6*k**4 + 100*k**3 + 84*k**2 - 98*k - 90 = 0.
-5, -1, 1, 9
Factor -q**5 + 14*q**4 - 17*q**3 - 80*q**2 - 48*q.
-q*(q - 12)*(q - 4)*(q + 1)**2
Let k**4 - 160*k**3 + 6558*k**2 - 12640*k + 6241 = 0. What is k?
1, 79
Let 3*y**5/4 + 5*y**4 - 52*y**3 + 239*y**2/2 - 371*y/4 + 39/2 = 0. Calculate y.
-13, 1/3, 1, 2, 3
Factor u**2 - 11*u - 12.
(u - 12)*(u + 1)
Factor -5*t**2 - 1560*t - 121680.
-5*(t + 156)**2
Factor 12*b**3 - 57*b**2 - 15*b.
3*b*(b - 5)*(4*b + 1)
Determine n so that -n**4 + n**3 + 25*n**2 - 25*n = 0.
-5, 0, 1, 5
Let 2*p**5/11 - 46*p**4/11 + 278*p**3/11 - 58*p**2/11 - 104*p + 88 = 0. What is p?
-2, 1, 2, 11
Let -54*x**4 + 118*x**3 + 24*x**2 - 88*x = 0. What is x?
-22/27, 0, 1, 2
Determine g, given that 3*g**3/7 + 6*g**2 + 195*g/7 + 300/7 = 0.
-5, -4
Factor 2*s**3/7 - 8*s**2/7 - 22*s/7 - 12/7.
2*(s - 6)*(s + 1)**2/7
Factor -3*v**5 - 23*v**4 - 59*v**3 - 69*v**2 - 38*v - 8.
-(v + 1)**3*(v + 4)*(3*v + 2)
Factor -k**2/3 + 8*k/3.
-k*(k - 8)/3
What is i in 2*i**4 + 270*i**3 + 12150*i**2 + 182250*i = 0?
-45, 0
D