-5, -1, 1, 3
Determine j, given that -5*j**2 - 75*j - 70 = 0.
-14, -1
Factor -2*h**4/3 - 4*h**3/3 + 14*h**2 - 12*h.
-2*h*(h - 3)*(h - 1)*(h + 6)/3
Let -r**2/3 + 473*r/3 = 0. What is r?
0, 473
Factor t**2/6 - 50*t/3 - 101/6.
(t - 101)*(t + 1)/6
Factor -115*y**3/4 - 113*y**2/4 + 58*y - 1.
-(y - 1)*(y + 2)*(115*y - 2)/4
Factor -3*y**3 - 378*y**2 + 2361*y - 1980.
-3*(y - 5)*(y - 1)*(y + 132)
Determine y so that 2*y**2 - 12*y + 16 = 0.
2, 4
Find m such that -2*m**5/7 + 4*m**4 + 34*m**3/7 - 1060*m**2/7 - 1000*m/7 + 2000/7 = 0.
-5, -2, 1, 10
Factor 10*t**3/9 - 128*t**2/3 - 72*t + 320/9.
2*(t - 40)*(t + 2)*(5*t - 2)/9
Find c such that -2*c**4 + 5*c**3/2 + 15*c**2/2 - 10*c + 2 = 0.
-2, 1/4, 1, 2
Determine p, given that 5*p**4 + 3050*p**3 + 621180*p**2 + 42445270*p + 41827135 = 0.
-203, -1
Determine g, given that -2*g**4 + 268*g**3 - 12384*g**2 + 214484*g - 795070 = 0.
5, 43
Solve -4*f**4 - 36*f**3 - 120*f**2 - 176*f - 96 = 0 for f.
-3, -2
Determine c so that -2*c**4 - 184*c**3 - 4230*c**2 + 184*c + 4232 = 0.
-46, -1, 1
Factor -4*w**2 - 1196*w.
-4*w*(w + 299)
Solve -2*r**4/13 - 196*r**3/13 - 1104*r**2/13 = 0.
-92, -6, 0
Solve 2*d**5/13 + 202*d**4/13 + 4998*d**3/13 - 5202*d**2/13 = 0.
-51, 0, 1
Suppose -2*i**4/3 + 16*i**3/3 + 16*i**2/3 - 64*i - 96 = 0. What is i?
-2, 6
Suppose 2*v**2 + 54*v = 0. Calculate v.
-27, 0
Find x, given that -x**2/3 + 4*x/3 - 4/3 = 0.
2
What is x in -x**3 + x**2 + 72*x = 0?
-8, 0, 9
Determine m, given that -2*m**2/15 + 13292*m/15 - 22084658/15 = 0.
3323
Factor 3*z**3/4 + 423*z**2/8 + 945*z + 3675/8.
3*(z + 35)**2*(2*z + 1)/8
Let -5*t**4 - 240*t**3 - 230*t**2 + 240*t + 235 = 0. Calculate t.
-47, -1, 1
Let 2*w**2 + 248*w + 7688 = 0. What is w?
-62
Factor -4*w**3 - 56*w**2 - 52*w.
-4*w*(w + 1)*(w + 13)
Solve -2*x**3/5 - 32*x**2/5 - 14*x + 104/5 = 0.
-13, -4, 1
Solve 2*x**2 - 6436*x + 5177762 = 0 for x.
1609
Factor -4*h**2/7 - 748*h/7 + 6240/7.
-4*(h - 8)*(h + 195)/7
Suppose 16*m**5 - 280*m**4 + 1145*m**3 + 775*m**2 - 585*m + 81 = 0. Calculate m.
-1, 1/4, 9
Solve 2*i**3/9 - 6854*i**2/9 + 13702*i/9 - 6850/9 = 0.
1, 3425
Factor d**5 + 28*d**4 + 293*d**3 + 1418*d**2 + 3168*d + 2592.
(d + 2)*(d + 4)**2*(d + 9)**2
Factor 4*d**2 - 364*d + 6256.
4*(d - 68)*(d - 23)
Factor -r**5 - 4*r**4 - 3*r**3.
-r**3*(r + 1)*(r + 3)
Factor -2*j**2/9 + 54*j - 964/9.
-2*(j - 241)*(j - 2)/9
Find a such that -2*a**2 + 18*a + 380 = 0.
-10, 19
Solve -a**5 - 2*a**4 + 15*a**3 + 8*a**2 - 68*a + 48 = 0.
-4, -3, 1, 2
What is u in -4*u**2/5 + 528*u/5 + 532/5 = 0?
-1, 133
Solve -3*q**2 + 306*q - 7803 = 0.
51
What is o in 25*o**4 + 345*o**3 + 264*o**2 + 52*o = 0?
-13, -2/5, 0
Factor -4*c**2 + 100*c - 96.
-4*(c - 24)*(c - 1)
Find n such that 171*n**3/2 + 177*n**2/2 + 3*n = 0.
-1, -2/57, 0
Solve 5*o**4 - 400*o**3 - 825*o**2 + 400*o + 820 = 0 for o.
-2, -1, 1, 82
Factor -r**2/6 + 23*r/6 - 38/3.
-(r - 19)*(r - 4)/6
Factor 4*n**3 - 24*n**2 - 4*n + 24.
4*(n - 6)*(n - 1)*(n + 1)
Suppose q**5/3 + 19*q**4/3 - 14*q**3/3 - 1202*q**2/3 + 13*q/3 + 1183/3 = 0. What is q?
-13, -1, 1, 7
Solve -15*r**5 + 470*r**4 - 1915*r**3 - 4220*r**2 - 1820*r = 0 for r.
-1, -2/3, 0, 7, 26
Let 5*z**4 + 255*z**3 - 530*z**2 = 0. What is z?
-53, 0, 2
Find g, given that g**4/8 + 9*g**3/2 - 57*g**2/4 + 29*g/2 - 39/8 = 0.
-39, 1
Solve -10*f**4/9 + 554*f**3/9 + 2110*f**2/9 + 838*f/9 - 236/3 = 0.
-3, -1, 2/5, 59
Let 15*z**3 + 13*z**2 - 92*z + 12 = 0. Calculate z.
-3, 2/15, 2
Determine g, given that g**2/8 - g/2 + 1/2 = 0.
2
Factor 3*a**5 + 12*a**4 + 15*a**3 + 6*a**2.
3*a**2*(a + 1)**2*(a + 2)
Factor -2*j**3 - 2*j**2 + 44*j + 80.
-2*(j - 5)*(j + 2)*(j + 4)
Factor 3*y**2 + 9*y.
3*y*(y + 3)
Find n such that -n**2/5 - 17*n - 166/5 = 0.
-83, -2
Let 5*d**2 + 45*d + 100 = 0. What is d?
-5, -4
Factor -36*y**2 - 1124*y - 248.
-4*(y + 31)*(9*y + 2)
Factor -2*i**3 + 436*i**2.
-2*i**2*(i - 218)
Solve 2*j**3/5 - 16*j**2/5 = 0 for j.
0, 8
Factor -8*s**4/9 - 26*s**3/9 - 2*s**2/3.
-2*s**2*(s + 3)*(4*s + 1)/9
Factor u**4/3 - 12*u**3 + 119*u**2 - 578*u/3.
u*(u - 17)**2*(u - 2)/3
Factor -l**4 + 19*l**3/4 + 5*l**2/4.
-l**2*(l - 5)*(4*l + 1)/4
Let o**3/2 - 5*o**2 + 16*o - 16 = 0. Calculate o.
2, 4
Suppose 7*g**5/3 - 3247*g**4/9 - 139*g**3 + 569*g**2/3 - 310*g/9 = 0. What is g?
-1, 0, 2/7, 1/3, 155
Factor n**3/5 + 46*n**2/5 - 147*n/5.
n*(n - 3)*(n + 49)/5
What is v in 2*v**3 - 20*v**2 - 46*v - 24 = 0?
-1, 12
Factor z**2/3 - 556*z/3 + 77284/3.
(z - 278)**2/3
Find s, given that 2*s**2/5 - 172*s/5 = 0.
0, 86
Determine f so that 5*f**3/3 - 356*f**2 - 501*f - 430/3 = 0.
-1, -2/5, 215
Determine b so that -2*b**5/15 + 416*b**4/15 - 4946*b**3/3 + 324676*b**2/15 - 485632*b/5 + 602112/5 = 0.
2, 7, 96
Find y, given that -2*y**2 - 352*y - 350 = 0.
-175, -1
Solve l**4/3 - 46*l**3/3 + 43*l**2/3 + 30*l = 0.
-1, 0, 2, 45
Factor n**3/4 - 13*n**2/4 - 7*n/2.
n*(n - 14)*(n + 1)/4
Suppose 2*b**3 + 98*b**2 + 600*b + 504 = 0. What is b?
-42, -6, -1
Factor 5*p**3 + 60*p**2 + 55*p.
5*p*(p + 1)*(p + 11)
Factor 5*f**3 + 65*f**2 - 5*f - 65.
5*(f - 1)*(f + 1)*(f + 13)
Solve -5*z**4 + 345*z**3 - 4930*z**2 - 5280*z = 0.
-1, 0, 22, 48
Determine q so that 2*q**5/3 - 20*q**4/3 + 24*q**3 - 36*q**2 + 18*q = 0.
0, 1, 3
Determine v so that 5*v**3/3 - 10*v**2/3 - 35*v/3 - 20/3 = 0.
-1, 4
Suppose 3*z**4 + 24*z**3 + 45*z**2 - 24*z - 48 = 0. Calculate z.
-4, -1, 1
Suppose -45*i**5 + 267*i**4 - 216*i**3 - 276*i**2 = 0. Calculate i.
-2/3, 0, 2, 23/5
Factor -3*g**4/8 - 33*g**3/8 - 12*g**2 - 21*g/2.
-3*g*(g + 2)**2*(g + 7)/8
Solve -64*q**4 - 19168*q**3 - 1449508*q**2 - 2142024*q - 799236 = 0.
-149, -3/4
Factor c**2/8 + 29*c/4 - 183/8.
(c - 3)*(c + 61)/8
Find w such that 3*w**3 - 21*w**2 - 63*w + 81 = 0.
-3, 1, 9
Let 2*i**3 + 322*i**2 - 650*i + 326 = 0. What is i?
-163, 1
Factor o**4/5 + 4*o**3/5.
o**3*(o + 4)/5
Solve -2*f**3/7 + 1348*f**2/7 - 2690*f/7 + 192 = 0 for f.
1, 672
Factor 11*w**3/6 - 10*w**2/3 + 7*w/6 + 1/3.
(w - 1)**2*(11*w + 2)/6
What is c in -c**2/7 - 4*c/7 = 0?
-4, 0
Let i**2 + 79*i - 162 = 0. Calculate i.
-81, 2
Factor 6*t**2/5 - 252*t/5 + 2646/5.
6*(t - 21)**2/5
Find r, given that 2*r**5/15 + 2*r**4/15 - 2*r**3/5 - 2*r**2/3 - 4*r/15 = 0.
-1, 0, 2
Let 3*b**5/5 + 9*b**4/5 - 3*b**3 - 9*b**2/5 + 12*b/5 = 0. Calculate b.
-4, -1, 0, 1
Let -2*f**5/7 - 2*f**4 - 6*f**3/7 + 46*f**2/7 + 64*f/7 + 24/7 = 0. Calculate f.
-6, -1, 2
Let 20*n**3/7 - 52*n**2/7 + 24*n/7 = 0. Calculate n.
0, 3/5, 2
Factor -4*l**3 - 488*l**2 - 964*l - 480.
-4*(l + 1)**2*(l + 120)
Determine m, given that 5*m**2 + 28*m - 96 = 0.
-8, 12/5
Solve -4*w**5/5 - 1408*w**4/5 - 132112*w**3/5 - 1452736*w**2/5 - 1127168*w - 1479680 = 0.
-170, -4
Find q such that -q**2/4 - 73*q/2 - 5329/4 = 0.
-73
Solve -2*i**3/3 + 14*i/3 + 4 = 0.
-2, -1, 3
Let 8*w**4 + 200*w**3 + 634*w**2 - 788*w + 210 = 0. What is w?
-21, -5, 1/2
Factor -3*a**2 - 864*a.
-3*a*(a + 288)
Factor 3*a**4/8 - 3*a**3/2 - 81*a**2/8 - 57*a/4 - 6.
3*(a - 8)*(a + 1)**2*(a + 2)/8
Determine p so that -p**4/7 + 11*p**3/7 - 8*p**2/7 - 20*p/7 = 0.
-1, 0, 2, 10
Factor -4*a**3/7 - 4*a**2/7 + 4*a/7 + 4/7.
-4*(a - 1)*(a + 1)**2/7
Let 2*z**3/7 - 12*z**2/7 = 0. Calculate z.
0, 6
Suppose -2*r**2 - 110*r + 2448 = 0. Calculate r.
-72, 17
Factor r**3/3 - 5653*r**2/3 - 11309*r/3 - 1885.
(r - 5655)*(r + 1)**2/3
Factor 3*a**2/5 - 1641*a/5 - 1644/5.
3*(a - 548)*(a + 1)/5
Factor 6*t**2 + 886*t/3 + 868/3.
2*(t + 1)*(9*t + 434)/3
What is q in -2*q**4 + 2*q**3 + 12*q**2 - 8*q - 16 = 0?
-2, -1, 2
Factor 3*g**2/4 - 9621*g/2 + 30854547/4.
3*(g - 3207)**2/4
Factor 4*c**2 + 1968*c + 242064.
4*(c + 246)**2
Factor 7*g**3/3 + 9*g**2 - 4*g/3.
g*(g + 4)*(7*g - 1)/3
Factor -a**3/7 - 6*a**2/7 - 3*a/7 + 10/7.
-(a - 1)*(a + 2)*(a + 5)/7
Factor -4*s**3 - 8*s**2.
-4*s**2*(s + 2)
Find d, given that d**4/3 - d**3/3 - 13*d**2/3 + d/3 + 4 = 0.
-3, -1, 1, 4
Determine m, given that 3*m**5 + 1167*m**4 + 112902*m**3 - 115242*m**2 - 112905*m + 114075 = 0.
-195, -1, 1
Suppose 2*r**3/3 - 3200*r**2/3 + 3194*r/3 + 2132 = 0. Calculate r.
-1, 2, 1599
Factor 33*m**2 - 270*m.
3*m*(11*m - 90)
Determine w, given that 2*w**2/9 - 56*w/3 - 1274/9 = 0.
-7, 91
Determine a, given that -2*a**5/11 - 64*a**4/11 + 6*a**3 = 0.
-33, 0, 1
Factor -4*c**4 + 40*c**3 + 236*c**2 - 96*c - 1008.
-4*(c - 14)*(c - 2)*(c + 3)**2
Solve -18*h**4/11 - 18*h**3/11 + 38*h**2/11 + 2*h/11 - 4/11 = 0.
-2, -1/3, 1/3, 1
Let 3*k**3/2 + 10