/7 + 68*z**2/7 - 8*z - 16/7 = 0?
-2/9, 2
Determine v, given that -8*v**5/7 + 5042*v**4/7 - 800076*v**3/7 + 1777240*v**2/7 - 394384*v/7 = 0.
0, 1/4, 2, 314
Factor 2*c**4 + 18*c**3 + 40*c**2.
2*c**2*(c + 4)*(c + 5)
Determine k so that 35*k**2 - 30*k - 5 = 0.
-1/7, 1
Factor -4*o**3 + 1492*o**2 - 4448*o + 2960.
-4*(o - 370)*(o - 2)*(o - 1)
Factor 2*h**5 + 15*h**4 + 7*h**3.
h**3*(h + 7)*(2*h + 1)
Find r, given that -3*r**5/2 + 45*r**4/2 - 132*r**3 + 378*r**2 - 528*r + 288 = 0.
2, 3, 4
Factor 3*o**4/2 + 69*o**3/2 + 117*o**2/2 - 189*o/2.
3*o*(o - 1)*(o + 3)*(o + 21)/2
Determine s, given that 3*s**3/5 + 534*s**2/5 + 4959*s + 90828/5 = 0.
-87, -4
Factor -w**4/4 - w**3 - 5*w**2/4 - w/2.
-w*(w + 1)**2*(w + 2)/4
Solve -n**5 + 23*n**4 - 51*n**3 - 207*n**2 + 540*n = 0 for n.
-3, 0, 3, 20
Find i such that -i**2/3 + 199*i/3 + 200/3 = 0.
-1, 200
Solve g**3/3 - 13*g**2 - 27*g - 41/3 = 0.
-1, 41
Factor 5*y**3 - 5*y**2 - 10*y.
5*y*(y - 2)*(y + 1)
Factor -i**2 - 189*i - 920.
-(i + 5)*(i + 184)
Suppose -2*r**3 - 22*r**2 - 48*r + 72 = 0. Calculate r.
-6, 1
Suppose p**3/3 - 13*p**2/3 - 3*p + 135 = 0. What is p?
-5, 9
Factor 4*j**3 - 220*j**2 + 1016*j - 800.
4*(j - 50)*(j - 4)*(j - 1)
Determine c so that -2*c**3/5 - 8*c**2/5 - 6*c/5 = 0.
-3, -1, 0
Factor n**4 + 334*n**3 + 27889*n**2.
n**2*(n + 167)**2
Determine x so that -98*x**3 - 224*x**2 + 600*x - 288 = 0.
-4, 6/7
Solve -2*i**5/13 - 16*i**4/13 - 42*i**3/13 - 36*i**2/13 = 0 for i.
-3, -2, 0
Suppose k**4 + 243*k**3 + 483*k**2 + 241*k = 0. Calculate k.
-241, -1, 0
Solve w**4 - 18*w**3 - 63*w**2 = 0.
-3, 0, 21
Factor 5*p**2 - 910*p + 905.
5*(p - 181)*(p - 1)
Determine q, given that -16*q**3 + 32*q**2 + 44*q + 12 = 0.
-1/2, 3
Find g, given that -g**4 + g**3 + 13*g**2 - 25*g + 12 = 0.
-4, 1, 3
Factor 5*m**3 - 225*m**2 + 435*m - 215.
5*(m - 43)*(m - 1)**2
Factor -v**2 + 176*v - 7744.
-(v - 88)**2
Factor -3*m**4 - 60*m**3 - 231*m**2 + 726*m.
-3*m*(m - 2)*(m + 11)**2
Find o such that o**4 - 27*o**3 - 87*o**2 - 89*o - 30 = 0.
-1, 30
Factor -s**2/5 - 532*s - 353780.
-(s + 1330)**2/5
Factor 2*r**2/5 + 12*r + 90.
2*(r + 15)**2/5
Factor 2*k**2/3 + 20*k/3 + 50/3.
2*(k + 5)**2/3
Factor -4*b**4 - 16*b**3 + 428*b**2 + 1320*b.
-4*b*(b - 10)*(b + 3)*(b + 11)
Solve 4*u**4 - 12*u**3 - 88*u**2 + 96*u = 0.
-4, 0, 1, 6
Find x such that -2*x**4/9 - 16016*x**3/9 - 16032016*x**2/3 - 64192192064*x/9 - 32128192128032/9 = 0.
-2002
Factor -2*i**2/9 + 544*i/9 - 36992/9.
-2*(i - 136)**2/9
Suppose -2*z**2/3 + 14*z - 160/3 = 0. Calculate z.
5, 16
Factor 2*m**3 - 2*m**2 - 34*m - 30.
2*(m - 5)*(m + 1)*(m + 3)
Determine y so that y**3/3 + 47*y**2/3 - 98*y/3 = 0.
-49, 0, 2
Suppose 2*n**3 + 4050*n**2 + 4048*n = 0. What is n?
-2024, -1, 0
Determine p, given that -2*p**5/9 - 32*p**4/9 - 188*p**3/9 - 488*p**2/9 - 530*p/9 - 200/9 = 0.
-5, -4, -1
Factor -t**3/9 + 29*t**2/9 + 62*t/9.
-t*(t - 31)*(t + 2)/9
Factor -2*a**3/7 + 134*a**2/7 - 750*a/7 + 1098/7.
-2*(a - 61)*(a - 3)**2/7
Factor 3*h**3 + 29076*h**2/5 + 14096043*h/5 + 5633766/5.
3*(h + 969)**2*(5*h + 2)/5
Factor 140*f**3 + 277*f**2 + 134*f - 3.
(f + 1)**2*(140*f - 3)
Find s, given that -3550*s**3 - 31215*s**2 - 68508*s + 484 = 0.
-22/5, 1/142
Find r such that 5*r**3 + 37665*r**2 + 94576815*r + 79160794155 = 0.
-2511
Factor -2187*x**3/7 - 40824*x**2 - 1778112*x - 25815552.
-3*(9*x + 392)**3/7
Suppose -2*j**2/3 - 28*j + 176/3 = 0. Calculate j.
-44, 2
Factor -5*d**4 - 60*d**3 - 205*d**2 - 150*d.
-5*d*(d + 1)*(d + 5)*(d + 6)
Find y, given that -12*y**4 - 2768*y**3 - 160540*y**2 - 105800*y = 0.
-115, -2/3, 0
Solve 2*d**4/5 - 1276*d**3/5 + 204794*d**2/5 - 405768*d/5 + 202248/5 = 0.
1, 318
Determine d so that d**3 - 90*d**2 - 283*d + 372 = 0.
-4, 1, 93
Factor 2*t**5/3 + 158*t**4 + 10050*t**3 + 82098*t**2 + 238032*t + 233928.
2*(t + 3)**3*(t + 114)**2/3
Let 3*f**3 + 147*f**2 = 0. What is f?
-49, 0
Suppose -l**2/3 - 223*l + 1342/3 = 0. What is l?
-671, 2
What is p in 4*p**4 + 16*p**3 + 12*p**2 = 0?
-3, -1, 0
Factor -2*d**3/19 - 102*d**2/19 - 1734*d/19 - 9826/19.
-2*(d + 17)**3/19
Solve 2*k**2/7 + 174*k/7 + 972/7 = 0 for k.
-81, -6
Suppose 289*d**5/6 - 2533*d**4/2 + 16961*d**3/2 - 10033*d**2/6 - 4576*d - 1014 = 0. Calculate d.
-6/17, 1, 13
Determine a so that 5*a**5 + 10*a**4 - 20*a**3 - 40*a**2 = 0.
-2, 0, 2
Determine x so that -x**4/4 + 4*x**3 + 17*x**2/4 = 0.
-1, 0, 17
Factor -34*f**2 - 14*f + 20.
-2*(f + 1)*(17*f - 10)
Determine x so that 3*x**5 + 12*x**4 - 12*x**3 - 48*x**2 = 0.
-4, -2, 0, 2
Factor 4*o**4 + 16*o**3 - 12*o**2 - 40*o + 32.
4*(o - 1)**2*(o + 2)*(o + 4)
Suppose 2*t**5/5 - 96*t**4/5 + 1596*t**3/5 - 10112*t**2/5 + 3162*t - 1440 = 0. What is t?
1, 15, 16
Factor -5*a**4 - 165*a**3 - 120*a**2 + 1340*a + 1920.
-5*(a - 3)*(a + 2)**2*(a + 32)
Factor -4*k**2 + 8*k + 60.
-4*(k - 5)*(k + 3)
Find s, given that s**5/5 - 11*s**4/5 + 7*s**3 - 5*s**2 = 0.
0, 1, 5
Factor -125*h**3 + 10550*h**2 - 4205*h + 420.
-5*(h - 84)*(5*h - 1)**2
Determine i so that -2*i**2 - 672*i - 670 = 0.
-335, -1
Let -3*d**3 - 273*d**2 - 1056*d - 1044 = 0. Calculate d.
-87, -2
Factor -a**2/2 - 178*a - 15842.
-(a + 178)**2/2
Factor 4*i**4/9 - 92*i**3 + 14420*i**2/3 - 42436*i/9.
4*i*(i - 103)**2*(i - 1)/9
Suppose -2*v**3 - 282*v**2 + 2*v + 282 = 0. What is v?
-141, -1, 1
Determine l so that 3*l**4/5 - 22*l**3/5 + 5*l**2 - 6*l/5 = 0.
0, 1/3, 1, 6
Factor 309*i**2/5 - 327*i/5 + 18/5.
3*(i - 1)*(103*i - 6)/5
What is y in 3*y**2 + 27*y = 0?
-9, 0
Factor 2*r**3/15 + 194*r**2/15 - 40*r/3 - 392/15.
2*(r - 2)*(r + 1)*(r + 98)/15
Suppose -s**3/2 - 2*s**2 + 275*s/2 + 1089 = 0. Calculate s.
-11, 18
Find j such that -2*j**2 + 48*j - 288 = 0.
12
Factor -d**4/3 + 3*d**3 - 9*d**2 + 9*d.
-d*(d - 3)**3/3
Factor -2*d**3/11 - 8*d**2/11 + 10*d/11.
-2*d*(d - 1)*(d + 5)/11
Solve 5*y**3 - 15*y**2 = 0.
0, 3
Factor 2*z**2/11 - 36*z/11 + 160/11.
2*(z - 10)*(z - 8)/11
Suppose -12*j**4 - 3549*j**3 - 6180*j**2 - 1761*j + 882 = 0. What is j?
-294, -1, 1/4
Suppose m**5 - 350*m**4 + 31312*m**3 - 119366*m**2 - 31313*m + 119716 = 0. Calculate m.
-1, 1, 4, 173
Factor 20*c**4 + 192*c**3 + 588*c**2 + 608*c + 192.
4*(c + 1)*(c + 4)**2*(5*c + 3)
Suppose y**5/4 - 61*y**4 + 19681*y**3/4 - 255635*y**2/2 - 270641*y - 137842 = 0. What is y?
-1, 82
Factor 4*s**4 - 80*s**3 + 276*s**2 - 328*s + 128.
4*(s - 16)*(s - 2)*(s - 1)**2
Factor -12*p**3/5 + 736*p**2/5 - 11036*p/5 - 7688/5.
-4*(p - 31)**2*(3*p + 2)/5
Solve 10*i**5/3 + 29*i**4/3 + 10*i**3 + 13*i**2/3 + 2*i/3 = 0.
-1, -1/2, -2/5, 0
Find o such that -5*o**5 + 40*o**4 - 115*o**3 + 140*o**2 - 60*o = 0.
0, 1, 2, 3
Factor 3*v**3/7 + 87*v**2/7 + 162*v/7.
3*v*(v + 2)*(v + 27)/7
Let -4*l**2/3 + 4*l - 8/3 = 0. Calculate l.
1, 2
Factor -p**5 + 72*p**4 - 203*p**3 - 276*p**2.
-p**2*(p - 69)*(p - 4)*(p + 1)
Factor -3*v**2 + 27738*v - 64116387.
-3*(v - 4623)**2
Find p, given that 4*p**3 - 416*p**2 + 11600*p - 40000 = 0.
4, 50
Factor b**3/4 + 10*b**2 - b/4 - 10.
(b - 1)*(b + 1)*(b + 40)/4
Determine o so that o**3/5 + 7*o**2/5 - 9*o/5 - 63/5 = 0.
-7, -3, 3
Factor -4*y**5 + 28*y**4 - 64*y**3 + 32*y**2 + 64*y - 64.
-4*(y - 2)**4*(y + 1)
Let -4*r**5/5 - 17*r**4/5 - 24*r**3/5 - 13*r**2/5 - 2*r/5 = 0. Calculate r.
-2, -1, -1/4, 0
Find k such that -72*k**5/7 - 88*k**4/7 + 110*k**3/7 + 208*k**2/7 + 94*k/7 + 12/7 = 0.
-1, -1/2, -2/9, 3/2
Factor -2*k**4/9 - 68*k**3/9 - 56*k**2 - 156*k - 150.
-2*(k + 3)**3*(k + 25)/9
Solve -12*l**5 + 8*l**4 + 64*l**3 + 56*l**2 + 12*l = 0.
-1, -1/3, 0, 3
Let 400*k**5/7 - 1720*k**4/7 - 8591*k**3/7 + 43721*k**2/7 - 4352*k + 5780/7 = 0. Calculate k.
-5, 2/5, 17/4
Solve -9*x**4/4 + 141*x**3/4 - 81*x**2/4 - 141*x/4 + 45/2 = 0 for x.
-1, 2/3, 1, 15
Factor 5*c**3 + 15*c**2 - 320*c - 960.
5*(c - 8)*(c + 3)*(c + 8)
Factor s**4 - 26*s**3 + 93*s**2 - 112*s + 44.
(s - 22)*(s - 2)*(s - 1)**2
Factor 2*r**2/7 + 116*r/7 + 1682/7.
2*(r + 29)**2/7
Determine q, given that -q**2/5 + 22*q/5 - 8 = 0.
2, 20
Suppose i**3 - 9*i**2 + 20*i - 12 = 0. Calculate i.
1, 2, 6
Determine b, given that -7396*b**2/3 - 1376*b/3 - 64/3 = 0.
-4/43
Find f such that 2*f**5/5 - 32*f**4/5 + 34*f**3 - 60*f**2 - 72*f/5 + 432/5 = 0.
-1, 2, 3, 6
Determine i so that i**5 + 4*i**4 - 5*i**3 = 0.
-5, 0, 1
Determine r so that 4*r**3 + 956*r**2 + 61180*r + 476100 = 0.
-115, -9
Suppose -512*x**3/7 + 192*x**2/7 - 18*x/7 = 0. Calculate x.
0, 3/16
Let 2*n**4/9 + 266*n**3/9 - 10