, 6
Find l such that 2*l**2/19 - 250*l/19 = 0.
0, 125
Factor t**5/3 + t**4/3 - 122*t**3/3 + 728*t**2/3 - 1504*t/3 + 896/3.
(t - 4)**3*(t - 1)*(t + 14)/3
Let -5*i**3 - 25*i**2 - 15*i + 45 = 0. Calculate i.
-3, 1
Solve -w**3/8 + 13*w**2/8 - 21*w/4 = 0 for w.
0, 6, 7
Factor 10*u**3 - 5*u**2/2 - 160*u + 40.
5*(u - 4)*(u + 4)*(4*u - 1)/2
Determine y so that 3*y**4 - 18*y**3 + 27*y**2 - 12*y = 0.
0, 1, 4
Let -3*q**2 + 1494*q - 186003 = 0. What is q?
249
Factor -y**5/3 - 290*y**4/3 - 28225*y**3/3 - 313440*y**2 - 599040*y - 294912.
-(y + 1)**2*(y + 96)**3/3
Find g such that -3*g**2/7 + 15*g/7 + 6 = 0.
-2, 7
Factor 2*n**3 + 4*n**2 - 482*n + 476.
2*(n - 14)*(n - 1)*(n + 17)
Factor -5*r**3 - 70*r**2 - 300*r - 360.
-5*(r + 2)*(r + 6)**2
Let -2*y**4/9 + 18*y**3 + 2882*y**2/9 - 18*y - 320 = 0. What is y?
-15, -1, 1, 96
Suppose -22*v**4 + 58*v**3 + 54*v**2 - 90*v = 0. What is v?
-15/11, 0, 1, 3
Solve 3*l**5/2 - 15*l**4/2 + 6*l**3 + 24*l**2 - 48*l + 24 = 0.
-2, 1, 2
Factor -2*h**2/3 - 86*h/3 + 700/3.
-2*(h - 7)*(h + 50)/3
Factor -c**3/11 - 8*c**2/11 + 331*c/11 - 322/11.
-(c - 14)*(c - 1)*(c + 23)/11
Factor 2*y**5/9 + 10*y**4 + 352*y**3/3 + 968*y**2/9.
2*y**2*(y + 1)*(y + 22)**2/9
Solve z**3 + 15*z**2/7 = 0 for z.
-15/7, 0
Factor 2*k**4 - 20*k**3 + 48*k**2 + 20*k - 50.
2*(k - 5)**2*(k - 1)*(k + 1)
Suppose -3*h**4 + 13500*h**3 - 22781250*h**2 + 17085937500*h - 4805419921875 = 0. What is h?
1125
Find p such that -4*p**5 + 1004*p**4 - 94248*p**3 + 3905496*p**2 - 59011092*p - 63011844 = 0.
-1, 63
Factor v**2 - 47*v + 312.
(v - 39)*(v - 8)
Factor 2*m**4 - 216*m**3 + 7980*m**2 - 107800*m + 257250.
2*(m - 35)**3*(m - 3)
Find l such that -l**3 - 122*l**2 + 1024*l - 2080 = 0.
-130, 4
Factor 14*o**4 - 136*o**3 + 282*o**2.
2*o**2*(o - 3)*(7*o - 47)
Find f such that 3*f**2/7 + 3768*f/7 + 1183152/7 = 0.
-628
Let -15*o**3 - 775*o**2 - 505*o + 255 = 0. What is o?
-51, -1, 1/3
Factor 98*j**2 - 504*j + 648.
2*(7*j - 18)**2
Factor -4*p**2 - 92*p - 240.
-4*(p + 3)*(p + 20)
Solve f**4/2 - 3*f**2/2 - f = 0.
-1, 0, 2
Factor -4*a**2/3 + 146*a/3 + 74/3.
-2*(a - 37)*(2*a + 1)/3
Determine a, given that 2*a**3 - 86*a**2 + 1040*a - 2400 = 0.
3, 20
Suppose -2*n**4 + 76*n**3 - 598*n**2 - 676*n = 0. What is n?
-1, 0, 13, 26
Let l**4/4 + l**3 - l**2/4 - l = 0. Calculate l.
-4, -1, 0, 1
Factor 2*c**3/7 + 360*c**2/7 - 2*c/7 - 360/7.
2*(c - 1)*(c + 1)*(c + 180)/7
Solve 4*f**3 + 1016*f**2 - 4*f - 1016 = 0 for f.
-254, -1, 1
Factor 4*b**4 + 2520*b**3 - 2532*b**2 - 5048*b.
4*b*(b - 2)*(b + 1)*(b + 631)
Factor -6*h**3/7 + 132*h**2/7 - 576*h/7.
-6*h*(h - 16)*(h - 6)/7
Solve 36*t**5 + 271*t**4 - 134*t**3 + 16*t**2 = 0.
-8, 0, 2/9, 1/4
Determine c so that -24*c**2 + 172*c - 260 = 0.
13/6, 5
Let -25*s**5/3 + 95*s**4/3 - 23*s**3 - 71*s**2/3 + 94*s/3 - 8 = 0. What is s?
-1, 2/5, 1, 12/5
Suppose r**3/7 + 1665*r**2/7 + 924075*r/7 + 170953875/7 = 0. Calculate r.
-555
Suppose -4*t**2/5 + 260*t + 1304/5 = 0. What is t?
-1, 326
Let 2*n**2/5 + 292*n/5 - 592/5 = 0. What is n?
-148, 2
Find x, given that x**2 + 10*x + 16 = 0.
-8, -2
Factor -3*t**4/2 + t**3/3 + 27*t**2/2 - 3*t.
-t*(t - 3)*(t + 3)*(9*t - 2)/6
Factor -w**3/5 - 17*w**2/5 - 76*w/5 - 12.
-(w + 1)*(w + 6)*(w + 10)/5
Suppose -u**3 + 339*u**2 - 38307*u + 1442897 = 0. What is u?
113
Determine t, given that -12*t**3 - 16*t**2 + 4*t + 8 = 0.
-1, 2/3
Determine x, given that x**2 + 53*x - 54 = 0.
-54, 1
Factor 4*n**4/3 - 136*n**3/3 - 144*n**2 - 440*n/3 - 148/3.
4*(n - 37)*(n + 1)**3/3
Determine t, given that -5*t**5 - 5*t**4 + 25*t**3 + 25*t**2 - 20*t - 20 = 0.
-2, -1, 1, 2
Factor u**5 - 11*u**4 - 38*u**3 + 170*u**2 - 187*u + 65.
(u - 13)*(u - 1)**3*(u + 5)
Factor -b**4/5 - 13*b**3/5 - 57*b**2/5 - 19*b - 10.
-(b + 1)*(b + 2)*(b + 5)**2/5
Let 9*b**2 - 987*b - 330 = 0. What is b?
-1/3, 110
Factor -4*j**2 + 67416*j - 284057316.
-4*(j - 8427)**2
Factor -5*k**2 - 80*k - 140.
-5*(k + 2)*(k + 14)
Determine h, given that -h**3/2 + 43*h**2 + 588*h = 0.
-12, 0, 98
Suppose 42*w**2/11 + 230*w/11 + 188/11 = 0. What is w?
-94/21, -1
Solve 36*q**5 - 52*q**4 - 112*q**3/3 - 16*q**2/3 = 0.
-1/3, -2/9, 0, 2
Factor -2*l**2 - 884*l - 97682.
-2*(l + 221)**2
Determine u so that -3*u**2/4 + 21*u/4 + 33 = 0.
-4, 11
Factor -m**5 - 6*m**4 - 3*m**3 + 10*m**2.
-m**2*(m - 1)*(m + 2)*(m + 5)
Determine v so that 63*v**3/2 + v**2 = 0.
-2/63, 0
Find p such that -p**4 - 13*p**3 - 45*p**2 - 11*p + 70 = 0.
-7, -5, -2, 1
Solve 44*h**2 + 404*h - 448 = 0 for h.
-112/11, 1
Factor d**5 - 3*d**4 - 7*d**3 + 7*d**2 + 18*d + 8.
(d - 4)*(d - 2)*(d + 1)**3
Factor 108*l**4 - 936*l**3 + 2631*l**2 - 2685*l + 900.
3*(l - 4)*(l - 3)*(6*l - 5)**2
Find d such that -2*d**2/15 + 3712*d/15 - 1722368/15 = 0.
928
Find z, given that z**3/7 - 13*z**2/7 + 44*z/7 - 32/7 = 0.
1, 4, 8
Factor r**4 + 5*r**3/2 - 27*r**2/2 + 31*r/2 - 11/2.
(r - 1)**3*(2*r + 11)/2
Factor -2*j**4 + 124*j**3 - 696*j**2 + 1360*j - 896.
-2*(j - 56)*(j - 2)**3
Factor -2*c**3/11 - 1704*c**2/11 - 483936*c/11 - 45812608/11.
-2*(c + 284)**3/11
Suppose -49*x**3/2 + 406*x**2 - 3749*x/2 + 2645 = 0. What is x?
23/7, 10
Let -a**4/6 + 217*a**3/6 - 107*a**2 - 2*a/3 + 428/3 = 0. Calculate a.
-1, 2, 214
Factor -m**3 - 57*m**2 - 111*m - 55.
-(m + 1)**2*(m + 55)
Factor 6*s**3/5 + 26*s**2/5 - 184*s/5 - 64/5.
2*(s - 4)*(s + 8)*(3*s + 1)/5
Determine j so that -364*j**4 - 8*j**3 + 364*j**2 + 8*j = 0.
-1, -2/91, 0, 1
Solve -u**5/3 - u**4/3 + 11*u**3/3 + 3*u**2 - 6*u = 0 for u.
-3, -2, 0, 1, 3
Factor 5*n**5 - 35*n**4 - 85*n**3 - 45*n**2.
5*n**2*(n - 9)*(n + 1)**2
Factor y**5/5 - 4*y**4/5 - 18*y**3/5 - 4*y**2 - 7*y/5.
y*(y - 7)*(y + 1)**3/5
Factor -n**4/3 + n**3/3 + n**2/3 - n/3.
-n*(n - 1)**2*(n + 1)/3
What is z in 45*z**4 + 18825*z**3 + 43700*z**2 + 8300*z - 8320 = 0?
-416, -2, -2/3, 1/3
Factor -45*m**2/2 + 1550*m + 345/2.
-5*(m - 69)*(9*m + 1)/2
Factor -2*r**4 - 4448*r**3.
-2*r**3*(r + 2224)
Factor -c**5/5 + 7*c**4/5 - 11*c**3/5 + c**2.
-c**2*(c - 5)*(c - 1)**2/5
Suppose g**3 + 13*g**2 + 16*g - 192 = 0. Calculate g.
-8, 3
Suppose 115*t**2 - 3805*t + 330 = 0. What is t?
2/23, 33
Factor -2*h**5 + 6*h**4 + 18*h**3 + 10*h**2.
-2*h**2*(h - 5)*(h + 1)**2
Suppose -f**3 + 18*f**2 + 319*f = 0. Calculate f.
-11, 0, 29
Factor -2*s**4/7 + 36*s**3 - 8184*s**2/7 + 15376*s/7.
-2*s*(s - 62)**2*(s - 2)/7
Factor 2*a**4 - 126*a**3 - 390*a**2 - 394*a - 132.
2*(a - 66)*(a + 1)**3
Determine s, given that s**5/3 + 34*s**4/3 + 394*s**3/3 + 1628*s**2/3 + 605*s/3 - 2662/3 = 0.
-11, -2, 1
Find d such that d**4/5 + 7*d**3/5 - 9*d**2/5 - 7*d/5 + 8/5 = 0.
-8, -1, 1
Factor -4*a**3 - 148*a**2 - 1404*a - 1260.
-4*(a + 1)*(a + 15)*(a + 21)
Determine b, given that -21*b**3/8 - 1023*b**2/8 + 609*b/2 - 153/2 = 0.
-51, 2/7, 2
Find r such that 2*r**2/3 + 68*r/3 + 80 = 0.
-30, -4
Factor y**3/8 - 3*y**2/2 + 9*y/2 - 4.
(y - 8)*(y - 2)**2/8
What is v in 3*v**5/4 + 9*v**4/2 + 15*v**3/4 - 9*v**2 = 0?
-4, -3, 0, 1
Suppose -9*w**4/7 + 60*w**3/7 - 117*w**2/7 + 90*w/7 - 24/7 = 0. What is w?
2/3, 1, 4
Factor -4*q**3/3 + 308*q**2/3 + 1376*q + 4272.
-4*(q - 89)*(q + 6)**2/3
Let -4*f**5 + 1000*f**4 - 62496*f**3 - 1000*f**2 + 62500*f = 0. What is f?
-1, 0, 1, 125
Factor -28*w**3 - 372*w**2 + 3088*w + 912.
-4*(w - 6)*(w + 19)*(7*w + 2)
Solve -27075*f**2 + 1140*f - 12 = 0.
2/95
Factor 3*n**5 - 201*n**4 + 390*n**3 + 6*n**2 - 393*n + 195.
3*(n - 65)*(n - 1)**3*(n + 1)
Find i, given that 2*i**5/9 + 2*i**4/9 - 44*i**3/9 + 88*i**2/9 - 16*i/3 = 0.
-6, 0, 1, 2
Find j, given that 9*j**5/2 + 10*j**4 - 23*j**3/2 - 39*j**2 - 26*j - 4 = 0.
-2, -1, -2/9, 2
Find h such that -2*h**4 - 12*h**3 + 26*h**2 + 132*h - 144 = 0.
-6, -4, 1, 3
Let 5*a**5/2 + 5*a**4 - 40*a**3 - 5*a**2 + 75*a/2 = 0. What is a?
-5, -1, 0, 1, 3
Suppose 524*f**2/3 - 532*f/3 + 8/3 = 0. What is f?
2/131, 1
Factor -h**4 - 11*h**3/2 - 9*h**2/2.
-h**2*(h + 1)*(2*h + 9)/2
Determine k, given that k**3/7 - 328*k**2/7 + 26896*k/7 = 0.
0, 164
Find q, given that 3*q**5 - 24*q**4 - 9*q**3 + 66*q**2 + 48*q = 0.
-1, 0, 2, 8
Determine y so that 2*y**3/11 - 604*y**2/11 - 1214*y/11 - 608/11 = 0.
-1, 304
Factor 5*b**3/4 + 95*b**2/4 - 110*b + 115.
5*(b - 2)**2*(b + 23)/4
Factor 2*q**5/15 + 6*q**4/5 + 2*q**3/5 - 146*q**2/15 + 64*q/5 - 24/5.
2*(q - 1)**3*(q + 6)**2/15
Let -4*t**4 - 282*t**3 + 2642*t**2 - 3462*t + 1106 = 0. Calculate t.
-79, 1/2, 1, 7
Factor n**3 + 15*n**2 - 226*n - 240.
