w + 12.
(w + 6)*(29*w + 2)
Factor -5*x**5/7 + 17*x**4/7 - 18*x**3/7 + 2*x**2/7 + x - 3/7.
-(x - 1)**4*(5*x + 3)/7
Let -2*y**4/23 + 18*y**3/23 + 42*y**2/23 + 22*y/23 = 0. What is y?
-1, 0, 11
Factor 2*s**3/7 + 74*s**2/7 + 646*s/7 - 722/7.
2*(s - 1)*(s + 19)**2/7
Determine h so that h**2/7 + 18*h/7 = 0.
-18, 0
Factor 3*x**2 - 195*x - 612.
3*(x - 68)*(x + 3)
What is k in -4*k**2/3 - 1672*k + 5020/3 = 0?
-1255, 1
Factor 5*u**4/4 - 75*u**3 + 2835*u**2/2 - 6615*u - 138915/4.
5*(u - 21)**3*(u + 3)/4
What is l in l**2 + 110*l + 3025 = 0?
-55
Let 3*n**3/7 - 39*n**2/7 + 36*n/7 = 0. What is n?
0, 1, 12
Factor 5*r**2 - 55*r + 50.
5*(r - 10)*(r - 1)
What is m in -3*m**4 - 474*m**3 - 468*m**2 + 474*m + 471 = 0?
-157, -1, 1
Factor -2*q**4 + 18*q**3 - 50*q**2 + 54*q - 20.
-2*(q - 5)*(q - 2)*(q - 1)**2
Factor 5*z**3 + 175*z**2 + 1615*z + 1445.
5*(z + 1)*(z + 17)**2
Determine k, given that 3*k**4/2 + 3*k**3 - 57*k**2/2 + 42*k - 18 = 0.
-6, 1, 2
What is g in 3*g**5 - 39*g**4 + 174*g**3 - 318*g**2 + 255*g - 75 = 0?
1, 5
Let 3*b**4/4 - 24*b**3 - 9*b**2/4 + 147*b/2 - 48 = 0. What is b?
-2, 1, 32
Determine s, given that 2*s**5/7 - 50*s**4/7 - 174*s**3/7 + 22*s**2 + 404*s/7 - 48 = 0.
-3, -2, 1, 28
Factor q**4 + 18*q**3.
q**3*(q + 18)
Factor 4*p**3 + 2812*p**2 + 492800*p - 495616.
4*(p - 1)*(p + 352)**2
Find m such that -2*m**3 + 560*m**2 + 1134*m - 1692 = 0.
-3, 1, 282
Find k such that 4*k**4/7 - 2208*k**3/7 + 302488*k**2/7 + 611616*k/7 + 306916/7 = 0.
-1, 277
Determine w so that 2*w**3/9 + 28*w**2/9 + 86*w/9 + 20/3 = 0.
-10, -3, -1
Determine g so that -3*g**4/4 + 12*g**3 - 45*g**2/4 = 0.
0, 1, 15
Factor -2*r**3/3 - 422*r**2/3 - 838*r/3 - 418/3.
-2*(r + 1)**2*(r + 209)/3
Factor 4*c**2/9 + 32*c/3 + 64.
4*(c + 12)**2/9
Factor 2*u**3/5 - 16*u**2 + 154*u/5 - 76/5.
2*(u - 38)*(u - 1)**2/5
Find z, given that 8*z**2/5 + 3454*z/5 - 864/5 = 0.
-432, 1/4
Let -3*x**3/8 + 77*x**2/4 - 1083*x/8 + 43 = 0. What is x?
1/3, 8, 43
Factor -2*w**3/7 + 4*w**2 - 22*w/7 - 52/7.
-2*(w - 13)*(w - 2)*(w + 1)/7
Factor 2*p**2 + 8*p.
2*p*(p + 4)
Solve 3*w**4 - 36*w**3 + 81*w**2 + 12*w - 108 = 0.
-1, 2, 9
What is v in v**2/7 - 46*v/7 = 0?
0, 46
Factor -4*w**3/5 - 384*w**2/5 + 396*w/5 + 776/5.
-4*(w - 2)*(w + 1)*(w + 97)/5
Suppose -112*v**4/3 - 274*v**3/15 + 8*v**2/3 + 8*v/5 = 0. Calculate v.
-2/5, -3/8, 0, 2/7
Let 4*t**5 + 14*t**4 + 4*t**3 - 6*t**2 = 0. What is t?
-3, -1, 0, 1/2
Suppose 3*d**5 + 60*d**4 - 84*d**3 - 438*d**2 + 81*d + 378 = 0. Calculate d.
-21, -2, -1, 1, 3
Factor -f**4/6 + 9*f**3/2 - 81*f**2/2 + 243*f/2.
-f*(f - 9)**3/6
Determine m so that -2*m**3/13 + 382*m**2/13 = 0.
0, 191
Factor -3*q**2 + 9210*q - 7068675.
-3*(q - 1535)**2
Factor 2*c**4 - 20*c**3 - 6*c**2 + 280*c + 392.
2*(c - 7)**2*(c + 2)**2
Factor -49*l**3 + 76027*l**2 - 43432*l + 6204.
-(l - 1551)*(7*l - 2)**2
Suppose i**4/10 + 11*i**3/10 - 2*i**2 - 42*i/5 + 72/5 = 0. What is i?
-12, -3, 2
Find t, given that -2*t**2/9 + 82*t/9 - 76/3 = 0.
3, 38
Factor 15*u**3 + 174*u**2 - 267*u + 78.
3*(u - 1)*(u + 13)*(5*u - 2)
Factor m**4/2 - 17*m**3/2 - m**2/2 + 17*m/2.
m*(m - 17)*(m - 1)*(m + 1)/2
Find o, given that -3*o**5 - 204*o**4 + 3345*o**3 - 8454*o**2 - 27744*o - 15744 = 0.
-82, -1, 8
What is j in 729*j**3/2 + 2133*j**2/2 - 161*j/2 + 3/2 = 0?
-3, 1/27
Factor -2*n**3 + 422*n**2 - 838*n + 418.
-2*(n - 209)*(n - 1)**2
Suppose 2*v**5 - 398*v**4 + 26132*v**3 - 548060*v**2 - 1176118*v - 601526 = 0. Calculate v.
-1, 67
Let 5*v**3 - 5*v**2 - 5*v + 5 = 0. What is v?
-1, 1
Let 55*w**3 + 1385*w**2 + 1570*w + 240 = 0. Calculate w.
-24, -1, -2/11
Factor -3*k**3 + 95*k**2/3 + 44*k/3.
-k*(k - 11)*(9*k + 4)/3
Suppose -3*k**3 - 6*k**2 + 48*k + 96 = 0. What is k?
-4, -2, 4
Factor -2*z**4/7 + 9992*z**3/7 - 12480008*z**2/7.
-2*z**2*(z - 2498)**2/7
Find s, given that 6*s**4/17 + 64*s**3/17 + 208*s**2/17 + 256*s/17 + 96/17 = 0.
-6, -2, -2/3
Find n such that 4*n**2/7 - 880*n/7 + 48400/7 = 0.
110
Suppose -2*o**3/9 + 6*o**2 + 56*o/9 = 0. Calculate o.
-1, 0, 28
Factor 4*r**4/3 + 10*r**3/3 + 2*r**2.
2*r**2*(r + 1)*(2*r + 3)/3
Find z such that -2*z**4 + 22*z**3 - 78*z**2 + 98*z - 40 = 0.
1, 4, 5
Factor 61504*w**2 + 10912*w + 484.
4*(124*w + 11)**2
Factor -2*h**5/3 - 26*h**4 + 54*h**3 - 82*h**2/3.
-2*h**2*(h - 1)**2*(h + 41)/3
Factor 2*u**3/5 - 56*u**2.
2*u**2*(u - 140)/5
Find g such that g**3/2 - 79*g**2/2 - 161*g/2 - 81/2 = 0.
-1, 81
Factor -s**2 + 206*s - 10609.
-(s - 103)**2
Let 2*l**3/17 - 16*l**2/17 - 8*l/17 + 64/17 = 0. Calculate l.
-2, 2, 8
Determine x, given that -x**5/5 - 3*x**4/5 + 2*x**3 - 2*x**2/5 - 9*x/5 + 1 = 0.
-5, -1, 1
Suppose -j**5/8 - 7*j**4/8 + 11*j**3/8 + 23*j**2/8 - 5*j/4 - 2 = 0. What is j?
-8, -1, 1, 2
Factor 2*q**3/19 + 16*q**2/19 + 42*q/19 + 36/19.
2*(q + 2)*(q + 3)**2/19
Factor 45*c**4 + 390*c**3 + 560*c**2 + 250*c + 35.
5*(c + 1)*(c + 7)*(3*c + 1)**2
Let -50*i**5/11 - 210*i**4/11 - 158*i**3/11 + 90*i**2/11 + 64*i/11 - 24/11 = 0. What is i?
-3, -1, 2/5
Suppose 50*u**4/3 + 10*u**3 - 118*u**2/3 + 14*u - 4/3 = 0. What is u?
-2, 1/5, 1
Factor 15*s**2 - 1135*s + 750.
5*(s - 75)*(3*s - 2)
Factor -3*y**4 + 15*y**3 + 18*y**2.
-3*y**2*(y - 6)*(y + 1)
Factor h**4 - 14*h**3 + 60*h**2 - 72*h.
h*(h - 6)**2*(h - 2)
Solve 5*t**5/6 + 65*t**4/6 + 55*t**3/6 - 65*t**2/6 - 10*t = 0.
-12, -1, 0, 1
Factor -3*d**2 + 168*d + 531.
-3*(d - 59)*(d + 3)
What is t in -2*t**4 - 31*t**3 - 169*t**2 - 365*t - 225 = 0?
-5, -9/2, -1
Suppose 32*j**5 + 48*j**4 - 1326*j**3 - 670*j**2 - 84*j = 0. Calculate j.
-7, -1/4, 0, 6
Find u such that -98*u**4 - 28*u**3 - 2*u**2 = 0.
-1/7, 0
What is u in 5*u**2 + 160*u + 300 = 0?
-30, -2
Factor 3*h**3 - 15*h**2 - 234*h - 216.
3*(h - 12)*(h + 1)*(h + 6)
Solve -3*i**4 + 63*i**3 - 396*i**2 + 912*i - 576 = 0.
1, 4, 12
Solve d**2/3 + 7*d/3 + 2 = 0 for d.
-6, -1
Suppose d**2 + 90*d/7 - 225/7 = 0. Calculate d.
-15, 15/7
What is s in -124*s**2 - 136*s - 12 = 0?
-1, -3/31
Factor 4*k**3 + 1434*k**2 + 2144*k + 714.
2*(k + 1)*(k + 357)*(2*k + 1)
Let 14*n**2/11 + 92*n/11 - 42/11 = 0. Calculate n.
-7, 3/7
Factor -2*i**2/5 + 38*i/5.
-2*i*(i - 19)/5
Factor 4*a**5 - 64*a**3 - 152*a**2 - 132*a - 40.
4*(a - 5)*(a + 1)**3*(a + 2)
Factor 2*c**5 - 6*c**4 - 6*c**3 + 22*c**2 - 12*c.
2*c*(c - 3)*(c - 1)**2*(c + 2)
Determine b so that -2*b**5/17 - 36*b**4/17 - 214*b**3/17 - 396*b**2/17 + 216*b/17 + 432/17 = 0.
-6, -1, 1
Factor m**3/2 + 95*m**2/2 - m/2 - 95/2.
(m - 1)*(m + 1)*(m + 95)/2
Determine d, given that d**3/8 - 129*d**2/8 = 0.
0, 129
Factor -c**3/3 + 2*c**2/3 + c.
-c*(c - 3)*(c + 1)/3
Factor -c**4 + 76*c**3 + 316*c**2 + 320*c.
-c*(c - 80)*(c + 2)**2
Solve -3*s**4 + 123*s**3 - 342*s**2 - 12*s + 456 = 0.
-1, 2, 38
Factor 7*d**3 - 509*d**2 - 1196*d - 300.
(d - 75)*(d + 2)*(7*d + 2)
Suppose d**4 + 8*d**3 - 44*d**2 + 48*d = 0. What is d?
-12, 0, 2
Factor -c**3/5 + 1026*c**2/5 - 350892*c/5 + 40001688/5.
-(c - 342)**3/5
Factor 2*g**4/11 - 36*g**3/11 + 190*g**2/11 - 252*g/11.
2*g*(g - 9)*(g - 7)*(g - 2)/11
Factor 4*n**2 + 20*n - 816.
4*(n - 12)*(n + 17)
Determine o so that -36*o**5 - 512*o**4 + 1652*o**3 - 832*o**2 - 272*o = 0.
-17, -2/9, 0, 1, 2
Factor -2*f**4/19 - 10*f**3/19 - 12*f**2/19.
-2*f**2*(f + 2)*(f + 3)/19
Let 9*d**3 + 6684*d**2 - 2235*d - 4458 = 0. What is d?
-743, -2/3, 1
Suppose -5*h**2 - 335*h - 330 = 0. What is h?
-66, -1
Factor -5*j**2 - 30*j.
-5*j*(j + 6)
What is d in -d**4/2 - 13*d**3 - 120*d**2 - 448*d - 512 = 0?
-8, -2
What is r in -3*r**2/7 + 678*r/7 - 38307/7 = 0?
113
Factor s**5/3 - 4*s**4/3 - 2*s**3 + 4*s**2/3 + 5*s/3.
s*(s - 5)*(s - 1)*(s + 1)**2/3
Find x, given that 6*x**2/7 + 2586*x/7 + 2580/7 = 0.
-430, -1
Factor -n**3 - 31*n**2 + 65*n - 33.
-(n - 1)**2*(n + 33)
Solve 4*x**2/3 + 80*x + 236/3 = 0.
-59, -1
Find a such that -a**3 + 5*a**2 = 0.
0, 5
Factor 4*h**2 - 1168*h/3 - 784/3.
4*(h - 98)*(3*h + 2)/3
Suppose -3*n**4 - 69*n**3 - 228*n**2 + 756*n = 0. Calculate n.
-18, -7, 0, 2
Factor -w**4/5 + 3*w**3/5 + w**2 - 3*w/5 - 4/5.
-(w - 4)*(w - 1)*(w + 1)**2/5
Suppose -3*a**4/8 + 3*a**3/4 + 9*a**2/8 - 3*a/2 - 3/2 = 0. Calculate a.
-1, 2
Suppose -18*b**5 + 121*b**4 - 161*b**3 + 21*b**2 + 47*b - 10 = 0. Calculate b.
-1/2, 2/9, 1, 5
Factor -7*u**2/3 - 593*u/3 + 170/3.
-(u + 85)*(7*u - 2)/3
Factor b**2 + 6*b + 5.
(b + 1)*(b + 5)
Factor -2*h**3/17 + 20*h**2/17 - 66*h/17 + 72/17.
-2*(h - 4)*(h - 3)**2/17
What is q in 43538160964*q**4 -