b**4 + 1430*b**3 - 7116*b**2 + 11368*b - 5680 = 0.
1, 2, 710
Factor -2*h**2/3 + 58*h/3 + 592/3.
-2*(h - 37)*(h + 8)/3
Factor -p**2/8 + 3539*p/4 - 12524521/8.
-(p - 3539)**2/8
Let 2*q**2 - 112*q + 216 = 0. What is q?
2, 54
Factor -3*r**4/7 - 9*r**3/7 - 9*r**2/7 - 3*r/7.
-3*r*(r + 1)**3/7
Factor 4*h**2 - 1236*h + 2456.
4*(h - 307)*(h - 2)
Factor -2*c**3/7 + 12*c**2/7 + 8*c/7 - 48/7.
-2*(c - 6)*(c - 2)*(c + 2)/7
Suppose 5*l**2 - 1010*l = 0. Calculate l.
0, 202
Factor -50*a**4/9 - 280*a**3/9 - 352*a**2/9 - 128*a/9.
-2*a*(a + 4)*(5*a + 4)**2/9
Factor 4*l**3/3 + 320*l**2/3 - 2788*l/3 + 2464/3.
4*(l - 7)*(l - 1)*(l + 88)/3
Factor 5*v**2/6 - 620*v/3 - 1255/2.
5*(v - 251)*(v + 3)/6
Factor h**4/2 + 3*h**3/2 - 9*h**2/2 + 5*h/2.
h*(h - 1)**2*(h + 5)/2
Factor -2*x**3/11 - 12*x**2/11 + 30*x/11 - 16/11.
-2*(x - 1)**2*(x + 8)/11
Suppose 3*a**5 + 21*a**4 - 54*a**3 = 0. Calculate a.
-9, 0, 2
Factor -o**2 + 3112*o - 2421136.
-(o - 1556)**2
Factor 3*v**2/4 - 621*v/4.
3*v*(v - 207)/4
Solve 3*b**4/5 - 9*b**3/5 - 123*b**2/5 + 9*b/5 + 24 = 0.
-5, -1, 1, 8
Determine q, given that 3*q**5/8 - 39*q**4/8 + 69*q**3/4 + 63*q**2/4 - 1485*q/8 + 2025/8 = 0.
-3, 3, 5
Solve 3*p**5 - 18*p**4 - 3*p**3 + 18*p**2 = 0.
-1, 0, 1, 6
Let -3*t**2/2 + 463*t/2 + 155 = 0. What is t?
-2/3, 155
Find f such that -3*f**3/2 + 66*f**2 - 126*f = 0.
0, 2, 42
Factor -d**2/4 - 15*d/2 - 81/4.
-(d + 3)*(d + 27)/4
What is p in -2*p**2/9 - 4*p/3 + 6 = 0?
-9, 3
Find k such that -k**4/6 + 7*k**3/6 - 5*k**2/6 - 7*k/6 + 1 = 0.
-1, 1, 6
Determine v so that -6*v**3 + 132*v**2 + 273*v/2 + 69/2 = 0.
-1/2, 23
Factor -5*x**2 + 5*x + 60.
-5*(x - 4)*(x + 3)
Factor -j**4 + 32*j**3 + 139*j**2 + 178*j + 72.
-(j - 36)*(j + 1)**2*(j + 2)
Factor -14*j**3/5 - 2*j**2/5 + 24*j.
-2*j*(j + 3)*(7*j - 20)/5
Solve 2*m**5 - 130*m**4 - 274*m**3 + 394*m**2 + 544*m - 536 = 0 for m.
-2, 1, 67
Let 8*j**4 - 44*j**3 + 76*j**2 - 52*j + 12 = 0. Calculate j.
1/2, 1, 3
Let 28*l**4/5 - 124*l**3/5 + 144*l**2/5 + 16*l/5 - 64/5 = 0. What is l?
-4/7, 1, 2
Factor 2*y**2 + 52*y + 288.
2*(y + 8)*(y + 18)
Suppose -s**5/10 + 2*s**4/5 + 11*s**3/10 - 13*s**2/5 - 32*s/5 - 16/5 = 0. Calculate s.
-2, -1, 4
Let -7*m**4/6 + 10*m**3/3 + 5*m**2/3 - 10*m/3 - 1/2 = 0. Calculate m.
-1, -1/7, 1, 3
Factor -j**2 + 121*j + 246.
-(j - 123)*(j + 2)
Find c, given that -2*c**4/19 - 8*c**3/19 - 10*c**2/19 - 4*c/19 = 0.
-2, -1, 0
Determine a, given that 2*a**2 - 2298*a = 0.
0, 1149
Solve -5*v**5 + 25*v**4 + 110*v**3 + 80*v**2 = 0 for v.
-2, -1, 0, 8
Factor d**3 - 226*d**2 + 12769*d.
d*(d - 113)**2
Factor -10*a**3/9 + 2*a**2/3 + 304*a/9 + 40/3.
-2*(a - 6)*(a + 5)*(5*a + 2)/9
Find h, given that h**3/5 - 146*h**2/5 - 213*h - 918/5 = 0.
-6, -1, 153
Factor h**4/8 - 107*h**3 + 90299*h**2/4 + 138351*h + 1671849/8.
(h - 431)**2*(h + 3)**2/8
Find i such that -4*i**5 - 16*i**4 + 96*i**3 + 40*i**2 - 284*i + 168 = 0.
-7, -2, 1, 3
Factor 4*x**2 - 784.
4*(x - 14)*(x + 14)
Let 3*k**4 + 306*k**3 + 7800*k**2 - 306*k - 7803 = 0. Calculate k.
-51, -1, 1
Determine j so that -134*j**4 + 942*j**3 - 28*j**2 = 0.
0, 2/67, 7
Factor -25*a**2 - 320*a + 65.
-5*(a + 13)*(5*a - 1)
Factor 2*n**2/5 + 402*n/5.
2*n*(n + 201)/5
Suppose u**4 + 60*u**3 - 124*u**2 = 0. Calculate u.
-62, 0, 2
Factor -3*z**3 - 99*z**2 + 162*z + 2040.
-3*(z - 5)*(z + 4)*(z + 34)
Factor 100*l**2/9 + 34640*l/9 + 2999824/9.
4*(5*l + 866)**2/9
Suppose 456968*i**4 - 455056*i**3 - 1910*i**2 - 2*i = 0. Calculate i.
-1/478, 0, 1
Let -8*i**3/7 + 184*i**2/7 - 110*i + 900/7 = 0. Calculate i.
5/2, 18
Let -14*t**5 - 38*t**4/3 + 20*t**3/3 + 16*t**2/3 = 0. Calculate t.
-1, -4/7, 0, 2/3
Let -u**5 - 24*u**4 - 152*u**3 + 270*u**2 + 4617*u + 7290 = 0. Calculate u.
-9, -2, 5
Solve 2*r**5/7 + 22*r**4/7 + 12*r**3/7 - 88*r**2/7 - 80*r/7 = 0 for r.
-10, -2, -1, 0, 2
Determine q so that -q**2/2 - 134*q - 8978 = 0.
-134
Factor -2*m**3/9 - 2*m**2/9.
-2*m**2*(m + 1)/9
Factor -3*d**3 + 723*d**2 + 2928*d + 2940.
-3*(d - 245)*(d + 2)**2
Solve 3*y**2/5 + 3*y/5 = 0.
-1, 0
Factor -2*c**2/3 + 584*c/3 - 42632/3.
-2*(c - 146)**2/3
Find i, given that 4*i**3 + 12*i**2 + 8*i = 0.
-2, -1, 0
Factor 3*z**4 - 144*z**3 + 411*z**2 - 270*z.
3*z*(z - 45)*(z - 2)*(z - 1)
Factor -2*l**4 - 596*l**3 - 45570*l**2 - 172872*l.
-2*l*(l + 4)*(l + 147)**2
Factor 3*y**3/2 - 371*y**2/4 - 31*y/2.
y*(y - 62)*(6*y + 1)/4
Factor l**2 + 23*l/2 - 105/2.
(l + 15)*(2*l - 7)/2
Factor v**4/3 - 187*v**3/3 + 185*v**2/3 + 187*v/3 - 62.
(v - 186)*(v - 1)**2*(v + 1)/3
What is z in -z**4 + 14*z**3 + 40*z**2 - 128*z = 0?
-4, 0, 2, 16
Factor s**4 + 3*s**3 - 34*s**2 + 48*s.
s*(s - 3)*(s - 2)*(s + 8)
Factor 15*j**3 - 2170*j**2 + 7785*j - 4230.
5*(j - 141)*(j - 3)*(3*j - 2)
Let j**3/10 + 34*j**2/5 + 578*j/5 = 0. What is j?
-34, 0
Let 4*v**3 + 92*v**2 - 96*v = 0. Calculate v.
-24, 0, 1
Suppose -5*w**3 - 100*w**2 - 165*w + 270 = 0. What is w?
-18, -3, 1
Determine y so that -3*y**3/7 + 165*y**2/7 + 393*y + 1449 = 0.
-7, 69
Factor -k**2/6 - 5*k/2 + 8/3.
-(k - 1)*(k + 16)/6
Determine n, given that 3*n**4 + 168*n**3 - 171*n**2 = 0.
-57, 0, 1
Factor -2*m**2/5 - 136*m - 11560.
-2*(m + 170)**2/5
Let 2*f**3 + 9942*f**2 + 16473894*f + 9099080786 = 0. What is f?
-1657
Solve -t**5/3 + 7*t**3/3 + 2*t**2 = 0 for t.
-2, -1, 0, 3
Factor -285*v**2/4 - 27*v/4.
-3*v*(95*v + 9)/4
Factor -3*i**4 - 66*i**3 - 351*i**2 + 264*i + 1452.
-3*(i - 2)*(i + 2)*(i + 11)**2
Let -5*f**2 - 2850*f - 406125 = 0. What is f?
-285
Factor g**2 + 4086*g + 4173849.
(g + 2043)**2
Factor 3*o**5/7 - 2130*o**4/7 + 375936*o**3/7 + 760416*o**2/7.
3*o**2*(o - 356)**2*(o + 2)/7
What is m in -3*m**3 + 216*m**2 - 4860*m + 32400 = 0?
12, 30
Let 7*i**4/4 - 45*i**3 + 445*i**2/4 - 45*i - 23 = 0. What is i?
-2/7, 1, 2, 23
Determine x, given that -2*x**5/5 - 54*x**4/5 - 478*x**3/5 - 1242*x**2/5 + 1944*x/5 + 5832/5 = 0.
-9, -2, 2
Factor -w**3/5 + 2*w**2/5 + 701*w/5 - 702/5.
-(w - 27)*(w - 1)*(w + 26)/5
Factor -4*m**3/3 - 8*m**2 + 148*m/3 - 40.
-4*(m - 3)*(m - 1)*(m + 10)/3
Let -4*a**3 + 121*a**2 - 926*a + 224 = 0. Calculate a.
1/4, 14, 16
Determine w, given that w**3 - 7*w**2 + 12*w = 0.
0, 3, 4
Find s such that s**4/3 + 7*s**3/3 - 163*s**2/3 + 605*s/3 - 150 = 0.
-18, 1, 5
Factor -y**2/3 - 140*y/3 - 225.
-(y + 5)*(y + 135)/3
Let -k**3/3 + 23*k**2/3 - 40*k - 48 = 0. What is k?
-1, 12
Factor -4*o**2 - 56*o + 60.
-4*(o - 1)*(o + 15)
Solve 9*w**2/8 + 6*w + 63/8 = 0 for w.
-3, -7/3
Factor -2*h**2/7 + 18*h - 360/7.
-2*(h - 60)*(h - 3)/7
Factor -l**4/5 - 93*l**3/5 - 2103*l**2/5 + 3337*l/5 + 26508/5.
-(l - 4)*(l + 3)*(l + 47)**2/5
What is u in 10*u**3 - 55*u**2 - 30*u = 0?
-1/2, 0, 6
Determine r, given that 4*r**3 + 32*r**2 + 60*r = 0.
-5, -3, 0
Determine a so that -a**5 - 13*a**4 - 55*a**3 - 75*a**2 = 0.
-5, -3, 0
Find w, given that 2*w**4 - 1148*w**3 + 167018*w**2 - 654360*w + 649800 = 0.
2, 285
Find d, given that d**3/5 - 25*d**2 - 786*d/5 = 0.
-6, 0, 131
What is u in 3*u**4 - 27*u**3/5 - 6*u**2/5 = 0?
-1/5, 0, 2
Determine m so that 12*m**5 - 52*m**4 - 1012*m**3 + 1428*m**2 + 328*m - 704 = 0.
-8, -2/3, 1, 11
Factor 74*s**3 + 290*s**2 + 272*s - 24.
2*(s + 2)**2*(37*s - 3)
Let 2*n**2/3 + 40*n/9 + 8/3 = 0. Calculate n.
-6, -2/3
Solve -m**5/10 - 6*m**4/5 + 22*m**3/5 - 9*m**2/5 - 43*m/10 + 3 = 0.
-15, -1, 1, 2
Factor 3*r**3/2 - 81*r**2/4 - 60*r.
3*r*(r - 16)*(2*r + 5)/4
Determine v so that -15*v**3 - 190*v**2 - 265*v + 110 = 0.
-11, -2, 1/3
Solve -2*r**2 + 16*r + 96 = 0 for r.
-4, 12
Suppose 3*j**3 + 51*j**2 + 273*j + 441 = 0. Calculate j.
-7, -3
What is n in 9*n**3/7 + 4*n**2/7 - 5*n + 22/7 = 0?
-22/9, 1
Determine n so that 15*n**4 - 85*n**3 + 45*n**2 + 25*n = 0.
-1/3, 0, 1, 5
Factor -o**3/3 + 346*o**2 + 3121*o/3 + 694.
-(o - 1041)*(o + 1)*(o + 2)/3
Factor 4*c**3/5 - 1104*c**2/5 - 1108*c/5.
4*c*(c - 277)*(c + 1)/5
Factor v**4/3 - 71*v**3/3 - 73*v**2/3 + 71*v/3 + 24.
(v - 72)*(v - 1)*(v + 1)**2/3
Determine l, given that -l**2/3 + 13*l + 322/3 = 0.
-7, 46
Factor f**3/5 + f**2/5 - 21*f/5 - 9.
(f - 5)*(f + 3)**2/5
Factor -33*u**2/4 + 95*u/4 + 3.
-(u - 3)*(33*u + 4)/4
Factor -x**2/7 + 26*x/7 + 192/7.
-(x - 32)*(x + 6)/7
What is t in 2*t**3 - 22130*t**2 + 61228176*t - 61206048 = 0?
1, 5532
Solve 3*n**3/5 + 24*n**2/5 - 33*n/5 - 54/5 = 0.
-9, -1, 2
Find d such that 3*d**4/2 + 57*d**3 + 558*d**2 - 324*d - 11664 = 0.
-18, -6, 4
Factor -o**3/5 + 59*o**2/5 - 58*o/5.
-o*(o - 58)*(o - 1