12330*p + 2240 = 0. Calculate p.
-224, -2, -1/3, 1
Factor -y**3/7 + 60*y**2/7 - 1125*y/7 + 6250/7.
-(y - 25)**2*(y - 10)/7
Determine u so that 5*u**3 - 77*u**2 + 100*u - 28 = 0.
2/5, 1, 14
Factor 8*p**4/3 - 26*p**3/3 + 2*p**2.
2*p**2*(p - 3)*(4*p - 1)/3
Factor -d**4/7 - 106*d**3/7 - 87*d**2 - 900*d/7.
-d*(d + 3)**2*(d + 100)/7
Determine n so that 2*n**3/17 + 46*n**2/17 - 330*n/17 + 522/17 = 0.
-29, 3
Suppose -35*p**3 + 65*p**2 + 300*p = 0. Calculate p.
-15/7, 0, 4
Suppose -3*n**3 - 24*n**2 - 21*n = 0. Calculate n.
-7, -1, 0
Solve -2*r**4 - 12*r**3 + 14*r**2 = 0 for r.
-7, 0, 1
Find v such that v**4/3 + 2*v**3 - 7*v**2/3 - 12*v + 12 = 0.
-6, -3, 1, 2
Determine p, given that -3*p**3 - 1257*p**2 - 14760*p - 43956 = 0.
-407, -6
Let 5*n**2 + 410*n + 8405 = 0. What is n?
-41
Suppose s**2/11 - 521*s/11 - 522/11 = 0. Calculate s.
-1, 522
Find o, given that 5*o**2 + 80*o - 85 = 0.
-17, 1
Factor l**2 + 1894*l + 896809.
(l + 947)**2
Factor 10*o**4/9 + 16*o**3/9 + 2*o**2/9 - 4*o/9.
2*o*(o + 1)**2*(5*o - 2)/9
Factor -2*o**2/5 - 1604*o/5 - 321602/5.
-2*(o + 401)**2/5
Factor -5*d**3 + 25*d**2 + 20*d - 100.
-5*(d - 5)*(d - 2)*(d + 2)
Factor v**3/6 + 56*v**2/3 + 1111*v/6.
v*(v + 11)*(v + 101)/6
Factor 2*b**2/15 + 56*b - 842/15.
2*(b - 1)*(b + 421)/15
Let 5*k**2 + 10875*k - 10880 = 0. What is k?
-2176, 1
Solve c**3/4 - 4*c**2 + 77*c/4 - 49/2 = 0 for c.
2, 7
Factor 5*b**2 + 55*b + 90.
5*(b + 2)*(b + 9)
Factor 16*v**2 - 22*v + 6.
2*(v - 1)*(8*v - 3)
Let 3*f**3/2 - 27*f**2 + 177*f/2 - 63 = 0. Calculate f.
1, 3, 14
Factor -3*g**5/8 + 2775*g**4/8 - 481635*g**3/4 + 74438595*g**2/4 - 8690105655*g/8 + 8542188963/8.
-3*(g - 231)**4*(g - 1)/8
Suppose 5*s**4 - 115*s**3 - 245*s**2 - 125*s = 0. Calculate s.
-1, 0, 25
Let t**3 - 7*t**2/2 - 5*t + 12 = 0. Calculate t.
-2, 3/2, 4
Factor -2*v**3 - 404*v**2 - 1592*v - 1584.
-2*(v + 2)**2*(v + 198)
Let 2*f**3/15 + 14*f**2/15 - 2*f/15 - 14/15 = 0. What is f?
-7, -1, 1
Factor -5*q**5 - 15*q**4 + 50*q**3.
-5*q**3*(q - 2)*(q + 5)
Let -3*a**5/7 - 6*a**4/7 + 255*a**3/7 + 1086*a**2/7 - 36*a - 1080/7 = 0. What is a?
-6, -1, 1, 10
Suppose -4*g**2 + 3872*g + 3876 = 0. Calculate g.
-1, 969
Factor 2*v**2 - 38*v + 180.
2*(v - 10)*(v - 9)
Factor -3*k**3/2 + 1572*k**2 - 826863*k/2 + 820587.
-3*(k - 523)**2*(k - 2)/2
Factor 3*v**3/2 - 567*v**2/2 + 35721*v/2 - 750141/2.
3*(v - 63)**3/2
Let -3*q**4 - 6*q**3 + 12*q**2 + 24*q = 0. Calculate q.
-2, 0, 2
Suppose -2*x**4 + 1318*x**3 - 289080*x**2 + 21005600*x + 21296000 = 0. Calculate x.
-1, 220
Find d such that 2*d**2 + 346*d = 0.
-173, 0
Solve 2*m**4/5 - 192*m**3/5 + 4976*m**2/5 - 17664*m/5 + 16928/5 = 0.
2, 46
Factor -25*w**4 + 110*w**3 - 140*w**2 + 40*w.
-5*w*(w - 2)**2*(5*w - 2)
Determine g so that -3*g**5/4 + 29*g**4/8 - 43*g**3/8 + 2*g**2 + g/2 = 0.
-1/6, 0, 1, 2
Suppose -3*r**2 - 216*r - 3888 = 0. Calculate r.
-36
Suppose -2*r**5/9 + 2*r**4 - 16*r**3/3 + 32*r**2/9 = 0. Calculate r.
0, 1, 4
Let 2*b**3/13 + 16*b**2/13 + 32*b/13 = 0. Calculate b.
-4, 0
Factor u**4/2 - 25*u**3/2 + 173*u**2/2 - 275*u/2 + 63.
(u - 14)*(u - 9)*(u - 1)**2/2
Find a such that -a**2/5 + 38*a/5 - 361/5 = 0.
19
Factor 279841*b**4/3 + 92575*b**3 - 704*b**2 + 4*b/3.
b*(b + 1)*(529*b - 2)**2/3
Factor s**5/6 + 649*s**4/6 - 1307*s**3/2 + 1965*s**2/2.
s**2*(s - 3)**2*(s + 655)/6
Suppose -81*f**4/2 + 495*f**3/4 + f**2/4 - 20*f - 3 = 0. What is f?
-2/9, 1/2, 3
Factor 4*v**5 + 12*v**4 + 8*v**3.
4*v**3*(v + 1)*(v + 2)
Factor 4*n**5/9 - 40*n**4/9 + 44*n**3/3 - 160*n**2/9 + 64*n/9.
4*n*(n - 4)**2*(n - 1)**2/9
Factor -2*h**4 + 22*h**3 + 312*h**2 + 928*h + 640.
-2*(h - 20)*(h + 1)*(h + 4)**2
Factor 2*k**2/11 - 2*k + 48/11.
2*(k - 8)*(k - 3)/11
Factor 2*v**4 + 14318*v**3 + 34172292*v**2 + 27201134888*v + 27166976912.
2*(v + 1)*(v + 2386)**3
What is z in 2*z**3/15 + 82*z**2/5 + 2562*z/5 + 7442/15 = 0?
-61, -1
Find k, given that k**4/2 - 5*k**3 - 13*k**2/2 + 11*k = 0.
-2, 0, 1, 11
Factor 175*m**3 - 1735*m**2 - 2075*m - 165.
5*(m - 11)*(m + 1)*(35*m + 3)
Factor 237*x**3 + 12*x**2.
3*x**2*(79*x + 4)
Factor l**3/2 - 35*l**2/2 - 37*l.
l*(l - 37)*(l + 2)/2
Factor -r**3/3 + 98*r**2/3 - 380*r/3 + 376/3.
-(r - 94)*(r - 2)**2/3
Find t, given that -20*t**3 + 972*t**2 + 1392*t + 400 = 0.
-1, -2/5, 50
Find m, given that -2*m**5/7 + 32*m**4/7 - 120*m**3/7 = 0.
0, 6, 10
Suppose -4*d**4 - 200*d**3 - 1404*d**2 - 2520*d = 0. Calculate d.
-42, -5, -3, 0
Factor 4*q**2/7 - 3880*q/7 + 940900/7.
4*(q - 485)**2/7
Factor -3*c**4 - 30*c**3 - 51*c**2 - 24*c.
-3*c*(c + 1)**2*(c + 8)
Determine l so that 20*l**5 + 1672*l**4 - 692*l**3 - 1672*l**2 + 672*l = 0.
-84, -1, 0, 2/5, 1
Factor 2*b**2 - 166*b - 168.
2*(b - 84)*(b + 1)
Determine m so that 5*m**4 - 70*m**3 - 245*m**2 - 170*m = 0.
-2, -1, 0, 17
Determine p, given that 16*p**3 - 548*p**2 + 4760*p - 1156 = 0.
1/4, 17
Suppose -x**2/3 + 103*x/3 - 1462/3 = 0. What is x?
17, 86
Let -2*g**4/7 - 10*g**3/7 + 44*g**2/7 - 32*g/7 = 0. Calculate g.
-8, 0, 1, 2
Factor 3*g**4 - 33*g**3 - 9*g**2 + 105*g - 66.
3*(g - 11)*(g - 1)**2*(g + 2)
Let 24*f**5/5 - 3524*f**4/5 + 9852*f**3/5 - 8652*f**2/5 + 1724*f/5 + 576/5 = 0. What is f?
-1/6, 1, 144
Factor -3*a**2 - 291*a.
-3*a*(a + 97)
Suppose 2*i**4/25 + 2*i**3/5 + 6*i**2/25 - 2*i/5 - 8/25 = 0. Calculate i.
-4, -1, 1
Find h, given that -h**4/4 - 4*h**3 - 16*h**2 = 0.
-8, 0
Factor -h**3 + 66*h**2 + 427*h + 360.
-(h - 72)*(h + 1)*(h + 5)
Determine z so that -2*z**3 + 298*z**2 - 1168*z + 1160 = 0.
2, 145
Let -i**4 + 13*i**3 + 30*i**2 - 244*i + 280 = 0. Calculate i.
-5, 2, 14
Find a, given that 5*a**5/3 - 10*a**4/3 = 0.
0, 2
Factor 4*f**3/9 - 8552*f**2/9 - 17116*f/9 - 8560/9.
4*(f - 2140)*(f + 1)**2/9
Let 196*u**2 - 616*u + 160 = 0. What is u?
2/7, 20/7
Suppose t**3/5 - 6*t**2/5 + 12*t/5 - 8/5 = 0. Calculate t.
2
What is i in 112*i**5/5 + 328*i**4/5 - 153*i**3/5 - 369*i**2/5 + 81*i/5 + 81/5 = 0?
-3, -1, -3/7, 3/4
Suppose r**2/6 - 380*r/3 + 72200/3 = 0. What is r?
380
Factor x**3/4 - 71*x**2/2 + 281*x/4 - 35.
(x - 140)*(x - 1)**2/4
Solve -2*k**4/13 + 6*k**3/13 - 4*k**2/13 = 0 for k.
0, 1, 2
Determine x, given that -3*x**5 - 66*x**4 + 396*x**3 - 270*x**2 - 729*x = 0.
-27, -1, 0, 3
Factor -4*k**2/3 - 4180*k/3 - 1392.
-4*(k + 1)*(k + 1044)/3
Find z, given that z**3/9 + 181*z**2/9 - z/9 - 181/9 = 0.
-181, -1, 1
Factor -5*z**2 - 440*z - 9680.
-5*(z + 44)**2
Solve -8*f**4/7 - 102*f**3/7 + 1450*f**2/7 - 3876*f/7 + 880/7 = 0.
-22, 1/4, 4, 5
Find k, given that 39*k**5/8 - 321*k**4/2 + 555*k**3/4 + 345*k**2/2 - 1149*k/8 - 12 = 0.
-1, -1/13, 1, 32
Factor 4*n**2/5 + 68*n/5 + 64/5.
4*(n + 1)*(n + 16)/5
Factor -4*k**5 - 4*k**4 + 20*k**3 + 4*k**2 - 32*k + 16.
-4*(k - 1)**3*(k + 2)**2
Factor 5*g**4 + 340*g**3 + 975*g**2 - 20*g - 1300.
5*(g - 1)*(g + 2)**2*(g + 65)
Factor -9*k**2 - 2283*k - 1518.
-3*(k + 253)*(3*k + 2)
Factor 2*r**2/17 - 5060*r/17 + 3200450/17.
2*(r - 1265)**2/17
Factor -j**2 + 4*j + 12.
-(j - 6)*(j + 2)
Find p, given that -2*p**3/7 + 6570*p**2/7 - 7194150*p/7 + 2625864750/7 = 0.
1095
Factor 3*g**2/5 - 96*g/5 + 93/5.
3*(g - 31)*(g - 1)/5
Let 98*p**5/3 - 210*p**4 - 4696*p**3/3 - 840*p**2 - 352*p/3 = 0. Calculate p.
-4, -2/7, 0, 11
Factor -2*b**2 + 11136*b - 15501312.
-2*(b - 2784)**2
Let j**4/3 - 34*j**3/3 - 277*j**2/3 - 410*j/3 = 0. What is j?
-5, -2, 0, 41
Factor -g**3/4 - 10*g**2 - 39*g/4.
-g*(g + 1)*(g + 39)/4
Factor 2*q**2/7 + 402*q/7 - 404/7.
2*(q - 1)*(q + 202)/7
Let g**4/2 + 84*g**3 + 83*g**2 - 84*g - 167/2 = 0. What is g?
-167, -1, 1
Find k such that -20*k**5 - 718*k**4 + 116*k**3 + 1570*k**2 - 516*k - 432 = 0.
-36, -3/2, -2/5, 1
Factor 2*q**3/5 - 2352*q**2/5 + 921984*q/5 - 120472576/5.
2*(q - 392)**3/5
Factor -6*n**2/5 - 87*n/5 - 81/5.
-3*(n + 1)*(2*n + 27)/5
Factor -4*i**4 + 300*i**3 + 3644*i**2 + 11940*i + 8600.
-4*(i - 86)*(i + 1)*(i + 5)**2
Factor -5*n**3 + 1790*n**2 - 3560*n.
-5*n*(n - 356)*(n - 2)
Factor -x**2/2 + 24*x - 126.
-(x - 42)*(x - 6)/2
Factor 4*i**3 - 24*i**2 - 388*i - 840.
4*(i - 14)*(i + 3)*(i + 5)
Find v, given that v**5/2 - 13*v**4/2 - 15*v**3/2 + 13*v**2/2 + 7*v = 0.
-1, 0, 1, 14
Factor -2*t**3 - 41*t**2/2 - 47*t - 21/2.
-(t + 3)*(t + 7)*(4*t + 1)/2
Determine v so that 4*v**4 + 32*v**3 + 60*v**2 - 32*v - 64 = 0.
-4, -1, 1
What is m in -2*m**2/3 + 4802*m/3 - 1600 = 0?
1, 2400
Factor 10*i**3/7 - 44*i**2/7 + 46*i/7 - 12/7.
2*(i - 3)*(i - 1)*(5*i - 2)/7
Factor -4