 - 486*f**4 + 20631*f**3 - 76788*f**2 + 74892*f = 0. What is f?
0, 2, 79
Determine t so that t**5 + 4*t**4 + 3*t**3 - 4*t**2 - 4*t = 0.
-2, -1, 0, 1
What is n in -n**3 + 184*n**2 - 365*n + 182 = 0?
1, 182
Solve 2*p**5/17 + 12*p**4/17 + 8*p**3/17 - 12*p**2/17 - 10*p/17 = 0.
-5, -1, 0, 1
Determine j so that -2*j**5/5 - 14*j**4/5 - 6*j**3 - 2*j**2 + 32*j/5 + 24/5 = 0.
-3, -2, -1, 1
Determine q, given that 52*q**5 - 44*q**4 - 60*q**3 + 44*q**2 + 8*q = 0.
-1, -2/13, 0, 1
Let -18*m**4/17 - 616*m**3/17 - 1306*m**2/17 - 836*m/17 - 128/17 = 0. What is m?
-32, -1, -2/9
Suppose i**2 + 21*i = 0. What is i?
-21, 0
Determine i, given that i**2/2 - 14*i + 115/2 = 0.
5, 23
What is v in 5*v**4 + 2220*v**3 + 6630*v**2 + 6620*v + 2205 = 0?
-441, -1
Solve -2*b**2/7 - 1070*b/7 + 1072/7 = 0.
-536, 1
Factor -2*u**3/7 - 26*u**2/7 - 64*u/7 - 40/7.
-2*(u + 1)*(u + 2)*(u + 10)/7
Factor -2*z**2/15 + 16*z/5 - 46/15.
-2*(z - 23)*(z - 1)/15
Suppose 14*o**4 + 102*o**3 + 112*o**2 + 24*o = 0. Calculate o.
-6, -1, -2/7, 0
Factor w**3/2 + 8*w**2 + 30*w.
w*(w + 6)*(w + 10)/2
Suppose r**3/6 - 4*r**2/3 - 3*r/2 = 0. What is r?
-1, 0, 9
Determine r so that 29*r**2 - 781*r/3 - 6 = 0.
-2/87, 9
Suppose 54*y**4 - 210*y**3 + 1153*y**2/6 + 70*y/3 + 2/3 = 0. Calculate y.
-1/18, 2
Determine q so that -3*q**2/5 + 9852*q - 40442460 = 0.
8210
Factor d**2/8 + 119*d/8.
d*(d + 119)/8
Find c, given that 20*c**5/3 + 52*c**4/3 - 48*c**3 - 112*c**2/3 + 64*c/3 = 0.
-4, -1, 0, 2/5, 2
Find k, given that -k**2/4 - 1251*k/2 = 0.
-2502, 0
Factor -z**4/3 + 6*z**3 + 28*z**2 + 88*z/3.
-z*(z - 22)*(z + 2)**2/3
Determine w so that -3*w**5 + 114*w**4 - 912*w**3 - 4224*w**2 + 15360*w + 38400 = 0.
-4, -2, 4, 20
Determine y so that y**5 + 73*y**4 + 138*y**3 - 286*y**2 - 139*y + 213 = 0.
-71, -3, -1, 1
Solve -v**4/6 - 11*v**3/6 - 17*v**2/3 - 4*v = 0.
-6, -4, -1, 0
Factor k**2/2 + 21*k + 185/2.
(k + 5)*(k + 37)/2
Factor 101306*i**3/7 + 279276*i**2/7 + 256632*i/7 + 78608/7.
2*(37*i + 34)**3/7
Find w such that 2*w**4 + 14*w**3 + 22*w**2 - 14*w - 24 = 0.
-4, -3, -1, 1
Suppose 2*k**3 + 56*k**2 + 150*k = 0. Calculate k.
-25, -3, 0
Suppose -90*l**3 - 426*l**2 - 3248*l/5 - 1568/5 = 0. Calculate l.
-28/15, -1
Factor -l**4 - 201*l**3 - 10590*l**2 - 49196*l - 57624.
-(l + 2)*(l + 3)*(l + 98)**2
Find b such that -b**2/5 + 2*b + 11/5 = 0.
-1, 11
Factor 4*t**4 + 212*t**3 + 1644*t**2 + 2668*t + 1232.
4*(t + 1)**2*(t + 7)*(t + 44)
Factor 5*s**3 + 25990*s**2 - 25995*s.
5*s*(s - 1)*(s + 5199)
Factor -6*d**4 - 9*d**3 + 33*d**2 + 18*d.
-3*d*(d - 2)*(d + 3)*(2*d + 1)
Let -9*o**4/5 - 42*o**3/5 + 24*o**2/5 + 42*o/5 - 3 = 0. What is o?
-5, -1, 1/3, 1
Factor -2*o**4/13 - 15836*o**3/13 - 31331522*o**2/13 + 62710560*o/13 - 31363200/13.
-2*(o - 1)**2*(o + 3960)**2/13
Factor 2*j**3/7 - 20*j**2/7 + 64*j/7 - 64/7.
2*(j - 4)**2*(j - 2)/7
Suppose 5*d**4 - 180*d**3 + 1220*d**2 + 7200*d + 8000 = 0. What is d?
-2, 20
Factor -28*k**4 + 52*k**3 - 204*k**2/7 + 36*k/7.
-4*k*(k - 1)*(7*k - 3)**2/7
Determine g, given that 2*g**3/17 - 62*g**2/17 - 352*g/17 - 288/17 = 0.
-4, -1, 36
Factor 182*p**2 - 162*p - 20.
2*(p - 1)*(91*p + 10)
Factor 5*k**2 - 800*k - 805.
5*(k - 161)*(k + 1)
Let c**5 + 2*c**4 + c**3 = 0. What is c?
-1, 0
Let -2*u**3/19 + 90*u**2/19 - 1350*u/19 + 6750/19 = 0. What is u?
15
Factor -5*l**3 + 35*l + 30.
-5*(l - 3)*(l + 1)*(l + 2)
Determine d, given that -2*d**2/7 - 44*d/7 - 242/7 = 0.
-11
Solve q**3/4 - 171*q**2/4 + 42*q + 85 = 0 for q.
-1, 2, 170
Solve -m**5 + m**4 + 5*m**3 - m**2 - 8*m - 4 = 0 for m.
-1, 2
Factor 28*s**2 + 144*s.
4*s*(7*s + 36)
Solve 4*s**2/3 + 460*s + 1376/3 = 0.
-344, -1
Find j, given that 36*j**5 - 1732*j**4/5 + 5776*j**3/5 - 8256*j**2/5 + 4736*j/5 - 704/5 = 0.
2/9, 1, 2, 22/5
Determine w, given that -w**3 - w**2/2 + 3*w = 0.
-2, 0, 3/2
Factor -3*h**2 - 54*h - 51.
-3*(h + 1)*(h + 17)
Find o, given that -2*o**2/3 + 56*o/3 + 110 = 0.
-5, 33
Factor -c**2/3 + 34*c/3 + 35/3.
-(c - 35)*(c + 1)/3
What is k in -5*k**3/4 + 31*k**2/4 - 11*k/2 - 10 = 0?
-4/5, 2, 5
Factor 3*d**2/7 - 330*d/7 + 9075/7.
3*(d - 55)**2/7
Solve 4*d**5 - 300*d**4 + 872*d**3 - 576*d**2 = 0 for d.
0, 1, 2, 72
Suppose m**2 + 632*m + 99856 = 0. What is m?
-316
Solve -2*y**2 + 66*y - 64 = 0.
1, 32
Let 5*p**3 + 80*p**2 - 5*p - 80 = 0. What is p?
-16, -1, 1
Find l, given that -3*l**4/7 + 39*l**3/7 - 96*l**2/7 + 60*l/7 = 0.
0, 1, 2, 10
Find a, given that 16*a**4/3 - 1052*a**3/3 + 7656*a**2 - 164560*a/3 - 42592/3 = 0.
-1/4, 22
Factor -3*y**3 - 30*y**2 + 93*y + 660.
-3*(y - 5)*(y + 4)*(y + 11)
Factor b**3/7 - 80*b**2/7 - 421*b/7 - 340/7.
(b - 85)*(b + 1)*(b + 4)/7
Factor 3*w**3 + 12*w**2 - 3*w - 12.
3*(w - 1)*(w + 1)*(w + 4)
Factor 4*u**3 + 64*u**2 - 92*u - 408.
4*(u - 3)*(u + 2)*(u + 17)
Determine v, given that -3*v**3 - 4017*v**2 - 8025*v - 4011 = 0.
-1337, -1
Factor -4*p**3/17 + 242*p**2/17 + 122*p/17.
-2*p*(p - 61)*(2*p + 1)/17
Suppose c**2 + 7*c - 8 = 0. What is c?
-8, 1
Find z such that -2*z**2/11 - 72*z/11 = 0.
-36, 0
Factor a**5 - 10*a**3 + 20*a**2 - 15*a + 4.
(a - 1)**4*(a + 4)
Find b such that -b**2/8 - 619*b/8 - 309/4 = 0.
-618, -1
Let -2*q**3 - 204*q**2 - 5202*q = 0. Calculate q.
-51, 0
Suppose -2*i**2/15 + 124*i/15 + 42/5 = 0. Calculate i.
-1, 63
Factor 4*x**5 + 1092*x**4 + 2168*x**3 - 8*x**2 - 2172*x - 1084.
4*(x - 1)*(x + 1)**3*(x + 271)
Factor -4*k**3 - 3684*k**2 - 850080*k - 846400.
-4*(k + 1)*(k + 460)**2
Factor 3*p**2 - 390*p + 12675.
3*(p - 65)**2
Factor q**5/4 - q**4 + 3*q**3/2 - q**2 + q/4.
q*(q - 1)**4/4
Factor 5*z**2 + 581*z/4 + 29/4.
(z + 29)*(20*z + 1)/4
Determine g, given that 4*g**2 + 216*g + 612 = 0.
-51, -3
Factor 3*g**2 + 243*g + 702.
3*(g + 3)*(g + 78)
Suppose -10*s**2/23 + 6*s/23 = 0. What is s?
0, 3/5
Factor i**4/7 + 3*i**3/7 + i**2/7 - 3*i/7 - 2/7.
(i - 1)*(i + 1)**2*(i + 2)/7
Find m, given that -13*m**3/2 + 15*m**2/2 - m = 0.
0, 2/13, 1
Factor -2*o**3 - 8*o**2 - 6*o.
-2*o*(o + 1)*(o + 3)
Factor -n**2/3 + 83*n/3 - 130.
-(n - 78)*(n - 5)/3
Let 5*l**2 + 80*l - 85 = 0. Calculate l.
-17, 1
Factor 3*v**3/2 - 63*v**2/2 + 147*v.
3*v*(v - 14)*(v - 7)/2
Factor 4*f**2 - 1416*f + 11072.
4*(f - 346)*(f - 8)
Factor 2*v**2/15 + 176*v/15 + 3872/15.
2*(v + 44)**2/15
Factor l**3/5 - 4986*l**2/5 + 6215049*l/5.
l*(l - 2493)**2/5
Factor 12*a**2 + 153*a + 483.
3*(a + 7)*(4*a + 23)
Factor -32*v**4/5 - 144*v**3/5 + 78*v**2/5 - 2*v.
-2*v*(v + 5)*(4*v - 1)**2/5
Suppose 2*k**3 - 104*k**2 - 960*k = 0. What is k?
-8, 0, 60
Factor 4*m**5 + 252*m**4 + 492*m**3 + 244*m**2.
4*m**2*(m + 1)**2*(m + 61)
Factor -3*c**5/8 - 33*c**4/2 - 1011*c**3/8 + 4737*c**2/4 - 5325*c/2 + 1875.
-3*(c - 2)**3*(c + 25)**2/8
Factor -d**4/2 + 9*d**2/2 + 2*d - 6.
-(d - 3)*(d - 1)*(d + 2)**2/2
Factor -2*u**2 - 36*u + 80.
-2*(u - 2)*(u + 20)
Factor -242*v**3 + 396*v**2 + 168*v + 16.
-2*(v - 2)*(11*v + 2)**2
Suppose -j**3 + 21*j + 20 = 0. Calculate j.
-4, -1, 5
Find t, given that -3*t**3/2 - 15*t**2/4 - 3*t/4 + 3/2 = 0.
-2, -1, 1/2
What is x in 3*x**2 - 2331*x = 0?
0, 777
Factor 4*p**2 - 108*p + 608.
4*(p - 19)*(p - 8)
Factor -3*r**3/2 - 39*r**2/2 + 87*r/2 - 45/2.
-3*(r - 1)**2*(r + 15)/2
Suppose 2*x**2/19 - 142*x/19 + 140/19 = 0. What is x?
1, 70
Suppose 3*i**4 + 21*i**3/2 - 3*i**2/2 - 45*i/2 - 27/2 = 0. What is i?
-3, -1, 3/2
Suppose 3*l**3 + 6*l**2 - 144*l = 0. Calculate l.
-8, 0, 6
Factor -3*n**3/4 + 3*n**2/2.
-3*n**2*(n - 2)/4
Factor -2*w**2 - 76*w - 210.
-2*(w + 3)*(w + 35)
Factor -2*w**4/5 - 43*w**3/5 + 196*w**2/5 - 204*w/5.
-w*(w - 2)**2*(2*w + 51)/5
Determine i, given that 60*i**3 + 1388*i**2 + 184*i = 0.
-23, -2/15, 0
Factor 9*i**2/2 + 174*i - 117/2.
3*(i + 39)*(3*i - 1)/2
Suppose -16*f**3 - 548*f**2 + 1604*f - 888 = 0. Calculate f.
-37, 3/4, 2
Factor -2*c**3/3 + 4*c**2 + 10*c + 16/3.
-2*(c - 8)*(c + 1)**2/3
Factor 2*r**4/7 - 74*r**3/7 + 208*r**2/7 - 136*r/7.
2*r*(r - 34)*(r - 2)*(r - 1)/7
Factor 3*g**3/5 - 12*g**2/5 + 9*g/5.
3*g*(g - 3)*(g - 1)/5
Factor 25*u**3 + 80*u**2 - 560*u - 1920.
5*(u + 4)**2*(5*u - 24)
What is u in 3*u**4/2 - 15*u**3/2 - 15*u**2 + 30*u + 36 = 0?
-2, -1, 2, 6
Factor -4*f**3 + 48*f**2 - 36*f - 88.
-4*(f - 11)*(f - 2)*(f + 1)
Determine n, given that -3*n**5/5 + 36*n**4/5 + 6*n**3/5 - 504*n**2/5 + 861*n/5 - 396/5 = 0.
-4, 1, 3, 11
Factor -5*o**3 + 30*o**2 - 40*o.
-5*o*(o - 4)*(o - 2)
Factor t**3 + 114*t**2 + 225*t + 112.
(t + 1)**2*(t + 112)
Factor -2*c