 + 200*f**2 - 240*f + 112 = 0 for f.
2, 7
Factor -2*g**3/13 + 4*g**2/13 + 2*g/13 - 4/13.
-2*(g - 2)*(g - 1)*(g + 1)/13
Suppose f**4/2 + 14*f**3 - 93*f**2/2 + 2*f + 62 = 0. What is f?
-31, -1, 2
Factor 7442*o**4/7 - 4148*o**3 + 26858*o**2/7 + 408*o + 72/7.
2*(o - 2)**2*(61*o + 3)**2/7
Factor 9*y**4/2 + 22*y**3 + 11*y**2 - 42*y + 9/2.
(y - 1)*(y + 3)**2*(9*y - 1)/2
Factor -u**4/11 + 454*u**3/11 - 53749*u**2/11 + 503940*u/11 - 1232100/11.
-(u - 222)**2*(u - 5)**2/11
Suppose m**3/4 + 903*m**2/4 - 905*m/2 = 0. Calculate m.
-905, 0, 2
Let 25*k**5 - 140*k**4 - 960*k**3 - 1360*k**2 - 400*k = 0. What is k?
-2, -2/5, 0, 10
Factor -5*a**3 + 536*a**2 + 433*a - 108.
-(a - 108)*(a + 1)*(5*a - 1)
Factor -4*m**4 + 205*m**3 + 373*m**2 - 106*m.
-m*(m - 53)*(m + 2)*(4*m - 1)
Factor -d**2 - 51*d + 52.
-(d - 1)*(d + 52)
Factor -4*a**4 - 848*a**3 - 1684*a**2 - 840*a.
-4*a*(a + 1)**2*(a + 210)
Suppose -c**3/2 + 3*c/2 - 1 = 0. Calculate c.
-2, 1
Factor -5*u**2 + 305*u + 1300.
-5*(u - 65)*(u + 4)
What is a in -3*a**3 + 249*a**2/4 - 393*a/4 - 57/2 = 0?
-1/4, 2, 19
Find j, given that -2*j**5/3 - 154*j**4/3 - 3320*j**3/3 - 4512*j**2 - 3456*j = 0.
-36, -4, -1, 0
Suppose -2*l**5/3 + 10*l**4/3 + 2*l**3/3 - 10*l**2/3 = 0. Calculate l.
-1, 0, 1, 5
Determine r so that -9*r**3/4 + r**2 + 19*r/4 - 7/2 = 0.
-14/9, 1
Factor -30*t**3/7 + 34*t**2/7 - 4*t/7.
-2*t*(t - 1)*(15*t - 2)/7
Let -2*p**3/5 + 58*p**2/5 - 206*p/5 + 30 = 0. What is p?
1, 3, 25
Solve -9*n**5/5 - 123*n**4 - 798*n**3/5 + 414*n**2/5 + 807*n/5 + 201/5 = 0 for n.
-67, -1, -1/3, 1
Factor 21*k**4/2 - 69*k**3/2 + 81*k**2/2 - 39*k/2 + 3.
3*(k - 1)**3*(7*k - 2)/2
Factor 5*h**3 - 640*h**2 - 655*h + 1290.
5*(h - 129)*(h - 1)*(h + 2)
Factor -50*p**3 + 80*p**2 + 198*p - 324.
-2*(p + 2)*(5*p - 9)**2
Suppose -5*s**2 - 145*s - 840 = 0. Calculate s.
-21, -8
Factor -m**5/8 - 15*m**4/8 + 17*m**3/4 - m**2/4 - 33*m/8 + 17/8.
-(m - 1)**3*(m + 1)*(m + 17)/8
Factor -70*w**3/13 - 34*w**2/13 - 4*w/13.
-2*w*(5*w + 1)*(7*w + 2)/13
Factor -12*i**2/5 + 44*i/5 - 24/5.
-4*(i - 3)*(3*i - 2)/5
Let o**4/3 - 7*o**3/3 + 11*o**2/3 + 7*o/3 - 4 = 0. Calculate o.
-1, 1, 3, 4
Solve -2*m**2/11 + 6532*m/11 - 5333378/11 = 0.
1633
Determine o, given that 2*o**4/7 + 6*o**3/7 + 2*o**2/7 - 6*o/7 - 4/7 = 0.
-2, -1, 1
Factor u**2/3 + u - 88/3.
(u - 8)*(u + 11)/3
Suppose 2*u**4/11 - 82*u**3/11 + 798*u**2/11 + 882*u/11 = 0. Calculate u.
-1, 0, 21
Factor 3*k**5 - 18*k**4 - 72*k**3 + 240*k**2 + 1008*k + 864.
3*(k - 6)**2*(k + 2)**3
What is j in 3*j**4/2 - 204*j**3 - 2529*j**2/2 - 1917*j = 0?
-3, 0, 142
Suppose 12*t**2 - 543*t/2 - 207/2 = 0. Calculate t.
-3/8, 23
Find n, given that -n**5/11 + 14*n**4/11 + 160*n**3/11 + 32*n**2 = 0.
-4, 0, 22
Factor -1682*h**4/9 + 9976*h**3/9 - 7096*h**2/3 + 19264*h/9 - 6272/9.
-2*(h - 2)**2*(29*h - 28)**2/9
Factor -5*r**4 - 95*r**3 + 835*r**2 - 1905*r + 1170.
-5*(r - 3)**2*(r - 1)*(r + 26)
Suppose 2*s**4/21 - 2*s**3/3 + 22*s**2/21 - 10*s/21 = 0. What is s?
0, 1, 5
Factor -j**2/6 + j/6 + 10/3.
-(j - 5)*(j + 4)/6
Factor o**2/4 + 27*o/4 - 7.
(o - 1)*(o + 28)/4
Factor 3*l**2 - 3366*l - 13512.
3*(l - 1126)*(l + 4)
Suppose -21*w**4 + 132*w**3 + 111*w**2 - 42*w = 0. What is w?
-1, 0, 2/7, 7
Factor -3*x**2 + 51*x - 126.
-3*(x - 14)*(x - 3)
Let -2*r**4/13 + 172*r**3/13 - 2298*r**2/13 - 60200*r/13 - 245000/13 = 0. What is r?
-7, 50
Factor -5*b**2 + 20200*b - 20402000.
-5*(b - 2020)**2
Find c, given that -4*c**3/7 - 60*c**2/7 + 4*c/7 + 60/7 = 0.
-15, -1, 1
Factor -3*u**4 + 18*u**2 - 24*u + 9.
-3*(u - 1)**3*(u + 3)
Find u, given that -3*u**2/4 - 609*u/4 - 597 = 0.
-199, -4
Suppose 2*z**3/5 - 2*z**2 - 44*z/5 - 32/5 = 0. Calculate z.
-2, -1, 8
Find j, given that -j**3/7 - 30*j**2/7 - 29*j/7 = 0.
-29, -1, 0
Factor 2*k**5 - 14*k**4 + 22*k**3 - 10*k**2.
2*k**2*(k - 5)*(k - 1)**2
Suppose m**4 + 1081*m**3 - 2165*m**2 + 1083*m = 0. What is m?
-1083, 0, 1
Factor a**3 - 45*a**2 + 528*a - 484.
(a - 22)**2*(a - 1)
Factor 5*h**3 - 24855*h**2 + 41184735*h - 22747701965.
5*(h - 1657)**3
Find f, given that 5*f**5/2 + 10*f**4 - 45*f**3/2 - 40*f**2 + 50*f = 0.
-5, -2, 0, 1, 2
Find h such that 49*h**2 + 700*h + 2500 = 0.
-50/7
Suppose 2*f**2/7 + 100*f/7 - 208/7 = 0. What is f?
-52, 2
Suppose -22*x**5/19 - 30*x**4/19 + 212*x**3/19 - 96*x**2/19 - 64*x/19 = 0. What is x?
-4, -4/11, 0, 1, 2
Factor -g**4/6 + 13*g**3/6 + 21*g**2/2 + 83*g/6 + 17/3.
-(g - 17)*(g + 1)**2*(g + 2)/6
Find a such that -112*a**4 + 212*a**3 + 156*a**2 - 232*a - 64 = 0.
-1, -1/4, 8/7, 2
Suppose y**5 - 3*y**4 + 2*y**3 + 2*y**2 - 3*y + 1 = 0. Calculate y.
-1, 1
Suppose -d**2/5 - 548*d/5 - 547/5 = 0. What is d?
-547, -1
Solve -2*f**3/5 + 98*f**2/5 - 638*f/5 - 15138/5 = 0 for f.
-9, 29
Factor s**2/8 - 5*s/4 + 9/8.
(s - 9)*(s - 1)/8
Factor 3*t**4/4 + 9*t**3/4 + 3*t**2/2.
3*t**2*(t + 1)*(t + 2)/4
Suppose -3*x**3 - 738*x**2 + 3*x + 738 = 0. Calculate x.
-246, -1, 1
Factor -3*k**2 + 72*k.
-3*k*(k - 24)
Suppose -l**4/2 + 219*l**3 - 48397*l**2/2 + 47742*l - 23762 = 0. What is l?
1, 218
Suppose -2*k**3/17 - 9026*k**2/17 - 10188096*k/17 - 10179072/17 = 0. What is k?
-2256, -1
Factor 17*s**3/4 - 285*s**2/8 + 323*s/8 + 21/4.
(s - 7)*(2*s - 3)*(17*s + 2)/8
Find q such that 8*q**4 + 382*q**3/3 + 334*q**2/3 + 20*q = 0.
-15, -2/3, -1/4, 0
Factor 2*i**3/19 + 10*i**2/19 - 8*i/19 - 40/19.
2*(i - 2)*(i + 2)*(i + 5)/19
Suppose 44*h**4/5 + 10*h**3 - 214*h**2/5 + 102*h/5 + 18/5 = 0. What is h?
-3, -3/22, 1
Factor -36*x**3 - 284*x**2 - 508*x + 60.
-4*(x + 3)*(x + 5)*(9*x - 1)
Factor -w**2/6 + 9*w/2 - 85/3.
-(w - 17)*(w - 10)/6
Solve -8*l**5/3 - 76*l**4/3 - 28*l**3/3 + 76*l**2/3 + 12*l = 0.
-9, -1, -1/2, 0, 1
Factor 3*l**4/5 - 66*l**3/5 + 483*l**2/5 - 1176*l/5.
3*l*(l - 8)*(l - 7)**2/5
Factor 2*o**3/25 - 32*o**2/25 - 238*o/25 + 588/25.
2*(o - 21)*(o - 2)*(o + 7)/25
Factor -3*w**3 - 15*w**2 + 24*w + 36.
-3*(w - 2)*(w + 1)*(w + 6)
Determine f, given that -8*f**5 + 54*f**4 - 74*f**3 + 18*f**2 + 10*f = 0.
-1/4, 0, 1, 5
Solve 4*b**4/7 - 160*b**3/7 + 1916*b**2/7 - 6320*b/7 - 1200 = 0.
-1, 10, 21
Factor -2*v**5/7 + 8*v**4/7 - 10*v**3/7 + 4*v**2/7.
-2*v**2*(v - 2)*(v - 1)**2/7
Let -2*p**4/3 + 92*p**3 - 266*p**2/3 - 368*p + 1096/3 = 0. Calculate p.
-2, 1, 2, 137
Suppose -5*i**3 + 15*i**2 + 50*i = 0. What is i?
-2, 0, 5
Factor -2*q**4/7 + 2*q**3/7.
-2*q**3*(q - 1)/7
Solve 3*q**2 + 750*q - 3048 = 0.
-254, 4
Find t, given that 3*t**3/2 - 1941*t**2 + 629850*t - 1251948 = 0.
2, 646
Factor 2*i**3/3 - 16*i**2/9 - 2*i/3.
2*i*(i - 3)*(3*i + 1)/9
Let 5*t**4 - 50*t**3 + 125*t**2 = 0. What is t?
0, 5
Determine p so that 4*p**5 + 8*p**4 - 16*p**3 - 8*p**2 + 12*p = 0.
-3, -1, 0, 1
Factor 2*s**3/5 - 12*s**2/5 + 18*s/5 - 8/5.
2*(s - 4)*(s - 1)**2/5
Let -4*y**4 + 784*y**3 - 56088*y**2 + 1715472*y - 18519300 = 0. What is y?
25, 57
Suppose -3*f**4 - 12*f**3 - 3*f**2 + 18*f = 0. Calculate f.
-3, -2, 0, 1
Solve 5*k**3/2 + 7*k**2 + 7*k/2 - 1 = 0 for k.
-2, -1, 1/5
Solve -2*s**5 + 20*s**4 - 38*s**3 - 52*s**2 + 184*s - 112 = 0.
-2, 1, 2, 7
Solve -81*c**5/4 - 1413*c**4/8 - 2495*c**3/8 + 955*c**2/8 + 297*c/8 + 9/4 = 0.
-6, -3, -1/9, 1/2
Factor -12*k**2 - 375*k - 93.
-3*(k + 31)*(4*k + 1)
Suppose -n**5/8 - 3*n**4/2 - 53*n**3/8 - 53*n**2/4 - 12*n - 4 = 0. What is n?
-4, -2, -1
Factor 5*v**5 + 50*v**4 + 35*v**3 - 90*v**2.
5*v**2*(v - 1)*(v + 2)*(v + 9)
Determine f so that 2*f**2/9 - 80*f + 1432/9 = 0.
2, 358
What is j in 3*j**2 + 21*j = 0?
-7, 0
Find r such that 2*r**2/5 - 108*r/5 = 0.
0, 54
Factor -h**5/4 - 45*h**4/4 - 87*h**3/4 - 43*h**2/4.
-h**2*(h + 1)**2*(h + 43)/4
Find l such that 2*l**4/19 + 74*l**3/19 + 672*l**2/19 + 1864*l/19 + 1600/19 = 0.
-25, -8, -2
Factor -2*k**3/5 + 6*k**2 + 144*k/5 + 152/5.
-2*(k - 19)*(k + 2)**2/5
Determine g, given that 159*g**2 + 483*g + 18 = 0.
-3, -2/53
Let 15*f**3/7 + 719*f**2/7 - 50*f/7 - 96/7 = 0. Calculate f.
-48, -1/3, 2/5
Solve -y**2/3 + 11*y/3 - 10/3 = 0 for y.
1, 10
Determine q so that 2*q**2/19 + 218*q/19 - 220/19 = 0.
-110, 1
Factor 3*v**3 + 93*v**2 - 195*v + 99.
3*(v - 1)**2*(v + 33)
Determine h so that -h**5/2 - 28*h**4 - 889*h**3/2 - 1483*h**2 - 1742*h - 676 = 0.
-26, -2, -1
What is b in -44*b**3 + 134*b**2 - 6*b = 0?
0, 1/22, 3
Factor 4*q**2 + 148*q - 656.
4*(q - 4)*(q + 41)
Solve -h**2/2 + 173*h/2 + 175 = 0.
-2, 175
Suppose -p**4/4 + 9*p**3/4 + 21*p**2/4 + 11*p/4 = 0. Calculate p.
-1, 0, 11
Factor -5*q**3 