88*p/7 - 986/7 = 0. Calculate p.
1, 493
Factor -6*r**3 + 621*r**2 - 306*r - 309.
-3*(r - 103)*(r - 1)*(2*r + 1)
Factor 5*i**2 - 3940*i + 776180.
5*(i - 394)**2
Factor 3*z**2/8 - 96*z + 765/8.
3*(z - 255)*(z - 1)/8
Find r such that -r**5/3 + 7*r**4/3 + r**3 - 19*r**2/3 - 14*r/3 = 0.
-1, 0, 2, 7
Find p, given that 2*p**2/5 + 58*p/5 + 156/5 = 0.
-26, -3
Solve 25*k**3 + 265*k**2 - 760*k + 260 = 0 for k.
-13, 2/5, 2
Solve -2*y**3/13 + 14*y**2/13 + 28*y/13 - 96/13 = 0 for y.
-3, 2, 8
Suppose 2*v**4/7 - 106*v**3/7 + 894*v**2/7 - 1478*v/7 + 688/7 = 0. Calculate v.
1, 8, 43
Let 4*v**3/3 - 32*v**2/3 - 148*v/3 + 176/3 = 0. What is v?
-4, 1, 11
Suppose 4*h**4 - 69*h**3 + 369*h**2 - 664*h + 144 = 0. Calculate h.
1/4, 4, 9
Factor -6*g**2 + 224*g - 288.
-2*(g - 36)*(3*g - 4)
What is c in -2*c**3 + 258*c**2 - 990*c - 1250 = 0?
-1, 5, 125
Find o such that -2*o**3/19 - 4*o**2/19 + 62*o/19 - 56/19 = 0.
-7, 1, 4
Suppose 5*o**4 - 345*o**3 + 6120*o**2 - 5780*o = 0. Calculate o.
0, 1, 34
Find a such that 3*a**4 - 30*a**2 + 27 = 0.
-3, -1, 1, 3
Determine i, given that -i**3/3 - 11*i**2/3 - 6*i = 0.
-9, -2, 0
Let -5*y**4 + 200*y**3 + 2070*y**2 + 6480*y + 6615 = 0. Calculate y.
-3, 49
Suppose -16*k**5 + 224*k**4 - 372*k**3 - 180*k**2 + 432*k = 0. Calculate k.
-1, 0, 3/2, 12
Find z, given that 3*z**4 - 36*z**3 - 9*z**2 + 102*z + 72 = 0.
-1, 2, 12
Factor -15*h**4 + 1025*h**3 - 23115*h**2 + 166635*h + 121670.
-5*(h - 23)**3*(3*h + 2)
Factor -2*n**2 + 244*n - 2034.
-2*(n - 113)*(n - 9)
Determine i so that 4*i**5 + 6*i**4 - 66*i**3 + 26*i**2 + 30*i = 0.
-5, -1/2, 0, 1, 3
Factor -18*a**4/5 - 96*a**3 - 2864*a**2/5 + 896*a - 1568/5.
-2*(a + 14)**2*(3*a - 2)**2/5
Suppose -u**3 + 2399*u**2 - 1439999*u + 1437601 = 0. Calculate u.
1, 1199
Suppose 2*b**3/5 + 28*b**2/5 + 26*b/5 = 0. Calculate b.
-13, -1, 0
Factor -2*r**4 - 36*r**3 + 224*r**2 - 156*r - 414.
-2*(r - 3)**2*(r + 1)*(r + 23)
Factor -a**2/8 + 23*a/4.
-a*(a - 46)/8
Solve p**2 + 35*p + 196 = 0.
-28, -7
Solve -2*t**5/3 - 2*t**4 + 2*t**3/3 + 2*t**2 = 0 for t.
-3, -1, 0, 1
Factor 100*w**4 + 180*w**3 + 96*w**2 + 16*w.
4*w*(w + 1)*(5*w + 2)**2
Determine v so that -21*v**2 + 51*v + 36 = 0.
-4/7, 3
Factor 2*i**3/9 + 8*i**2 + 72*i.
2*i*(i + 18)**2/9
Factor -l**3 + 20*l**2 + l - 20.
-(l - 20)*(l - 1)*(l + 1)
Factor y**2/5 + 4*y/5.
y*(y + 4)/5
Determine a so that 3*a**4 - 39*a**3 + 63*a**2 + 39*a - 66 = 0.
-1, 1, 2, 11
Factor 3*v**2/7 + 171*v/7 - 2010/7.
3*(v - 10)*(v + 67)/7
Suppose -3*z**2 - 888*z - 65712 = 0. What is z?
-148
Determine p, given that p**3 + 27*p**2 - 264*p + 560 = 0.
-35, 4
Factor l**2/2 - 74*l + 2738.
(l - 74)**2/2
Determine h so that 5*h**2 - 19450*h = 0.
0, 3890
Factor 3*k**3 + 716*k**2 - 959*k + 240.
(k - 1)*(k + 240)*(3*k - 1)
Determine n, given that -2*n**3 - 78*n**2 - 220*n - 144 = 0.
-36, -2, -1
Suppose 3*w**2 - 54*w - 120 = 0. What is w?
-2, 20
Factor 2*h**2/9 + 2*h.
2*h*(h + 9)/9
Suppose 972*r**5 + 3024*r**4 + 2748*r**3 - 200*r**2 - 1408*r - 512 = 0. What is r?
-1, -8/9, 2/3
Factor t**3 - 168*t**2 + 7533*t - 39366.
(t - 81)**2*(t - 6)
Factor 6*z**2 + 102*z/5 - 72/5.
6*(z + 4)*(5*z - 3)/5
Factor -5*a**2/4 + 75*a/2 - 70.
-5*(a - 28)*(a - 2)/4
Factor 2*d**4 - 20*d**3 - 22*d**2.
2*d**2*(d - 11)*(d + 1)
Factor -2*z**4 - 78*z**3 + 336*z**2 - 344*z.
-2*z*(z - 2)**2*(z + 43)
Factor -4*q**2 + 1432*q - 128164.
-4*(q - 179)**2
Factor y**4 - 7*y**3 - 48*y**2 + 208*y + 896.
(y - 8)*(y - 7)*(y + 4)**2
Factor -2*s**3/9 - 26*s**2/9 + 28*s/9.
-2*s*(s - 1)*(s + 14)/9
Suppose c**2 + 2653*c + 2652 = 0. Calculate c.
-2652, -1
Solve 3*o**5 - o**4 - 8*o**3 - 4*o**2 = 0.
-1, -2/3, 0, 2
What is s in -s**5/2 - 19*s**4/2 - 87*s**3/2 - 113*s**2/2 + 32*s + 78 = 0?
-13, -3, -2, 1
Suppose -2*i**3/9 - 134*i**2/3 - 266*i/3 - 398/9 = 0. Calculate i.
-199, -1
Factor -c**4/6 + 3*c**3/2 + c**2/2 - 29*c/6 + 3.
-(c - 9)*(c - 1)**2*(c + 2)/6
Factor 3*y**2/5 + 81*y/5 + 30.
3*(y + 2)*(y + 25)/5
Suppose 2*a**3/3 + 56*a**2 - 350*a/3 - 172 = 0. What is a?
-86, -1, 3
Solve 5*n**4/3 - 118*n**3/3 - 60*n**2 + 118*n/3 + 175/3 = 0.
-7/5, -1, 1, 25
Let 2*l**3/7 + 38*l**2 + 11712*l/7 + 170496/7 = 0. Calculate l.
-48, -37
Determine p, given that 9*p**3 - 1902*p**2 + 627*p + 1266 = 0.
-2/3, 1, 211
Solve 2*p**3/13 - 1588*p**2/13 = 0 for p.
0, 794
Find b such that -b**4/5 + 29*b**3/5 - 292*b**2/5 + 1236*b/5 - 1872/5 = 0.
4, 6, 13
Suppose 5*x**5 + 260*x**4 - 1095*x**3 + 1390*x**2 - 560*x = 0. What is x?
-56, 0, 1, 2
Factor m**2/3 + 56*m/3 + 784/3.
(m + 28)**2/3
Find a such that 2*a**2/25 - 68*a/25 - 14/5 = 0.
-1, 35
Let -m**3/3 - 25*m**2/3 - 47*m/3 - 23/3 = 0. What is m?
-23, -1
Suppose z**2 - 307*z + 306 = 0. What is z?
1, 306
Factor -3*v**3 + 183*v**2 - 2880*v + 2700.
-3*(v - 30)**2*(v - 1)
Factor 3*y**5 - 12*y**4 + 9*y**3.
3*y**3*(y - 3)*(y - 1)
Find l, given that 4*l**5 + 64*l**4 + 144*l**3 - 704*l**2 - 1280*l + 3072 = 0.
-12, -4, 2
Let -4*m**2/7 + 10520*m/7 - 6916900/7 = 0. What is m?
1315
Find q such that -3*q**4 + 9*q**3 + 90*q**2 - 384*q + 288 = 0.
-6, 1, 4
Factor 5*i**3 - 5*i**2 - 100*i.
5*i*(i - 5)*(i + 4)
Factor 2*w**4/5 + 6*w**3 + 84*w**2/5 - 64*w - 768/5.
2*(w - 3)*(w + 2)*(w + 8)**2/5
Let -14*m**3/5 + 248*m**2/5 + 338*m/5 + 76/5 = 0. Calculate m.
-1, -2/7, 19
Determine i so that -5*i**3 - 10*i**2 = 0.
-2, 0
Solve -2*s**5/3 + 28*s**4/3 - 8*s**3 - 28*s**2/3 + 26*s/3 = 0 for s.
-1, 0, 1, 13
Let h**5 - 3*h**4 - 9*h**3 + 31*h**2 - 36 = 0. What is h?
-3, -1, 2, 3
Factor 144*t**2 - 33936*t + 1999396.
4*(6*t - 707)**2
Determine b, given that 4*b**5/5 - 32*b**4/5 - 36*b**3 - 32*b**2 + 176*b/5 + 192/5 = 0.
-2, -1, 1, 12
Factor 5*a**3 + 20*a**2 - 275*a + 250.
5*(a - 5)*(a - 1)*(a + 10)
Factor 5*z**4 + 40*z**3 + 115*z**2 + 140*z + 60.
5*(z + 1)*(z + 2)**2*(z + 3)
Let -f**3 + 25*f**2 - 207*f + 567 = 0. What is f?
7, 9
Solve -8*i**3/9 + 2*i**2 + 2*i/9 - 4/3 = 0.
-3/4, 1, 2
Factor 2*u**2/3 + 44*u/3 + 38.
2*(u + 3)*(u + 19)/3
Solve 3*b**5 + 54*b**4 - 324*b**3 + 474*b**2 - 207*b = 0.
-23, 0, 1, 3
Factor 13*q**5/9 - 11*q**4/9 - 2*q**3/9.
q**3*(q - 1)*(13*q + 2)/9
Let 2*q**3 - 2*q**2 - 170*q - 550 = 0. What is q?
-5, 11
Solve -225*p**4/4 + 275*p**3/2 - 429*p**2/4 + 27*p - 1 = 0.
2/45, 2/5, 1
What is g in -3*g**2 - 57*g + 60 = 0?
-20, 1
Factor 10*w**2 - 3514*w + 1404.
2*(w - 351)*(5*w - 2)
Factor 2*d**2 - 3*d.
d*(2*d - 3)
Factor 7*s**2 - s.
s*(7*s - 1)
Suppose 2*x**2 - 2 = 0. Calculate x.
-1, 1
Let 12*i**5 - 104*i**4 + 328*i**3 - 464*i**2 + 300*i - 72 = 0. Calculate i.
2/3, 1, 3
Suppose 13*p**2 - 4*p = 0. Calculate p.
0, 4/13
Factor i**4/4 - 9*i**3/2 - 3*i**2 + 58*i - 72.
(i - 18)*(i - 2)**2*(i + 4)/4
Factor 3*x**4/7 - 17*x**3/7 - 32*x**2/7 + 4*x.
x*(x - 7)*(x + 2)*(3*x - 2)/7
Solve 18*b**4 + 24*b**3 - 70*b**2 - 100*b = 0 for b.
-5/3, 0, 2
Factor -33*t**3 - 266*t**2 - 544*t - 32.
-(t + 4)**2*(33*t + 2)
Factor z**5/2 + 9*z**4/2 + 29*z**3/2 + 43*z**2/2 + 15*z + 4.
(z + 1)**3*(z + 2)*(z + 4)/2
Factor b**3/2 + 311*b**2/2 - 471*b.
b*(b - 3)*(b + 314)/2
Factor 2*o**2/7 + 12*o/7 - 32/7.
2*(o - 2)*(o + 8)/7
Find y, given that 2*y**4 + 6*y**3 - 26*y**2 - 30*y = 0.
-5, -1, 0, 3
Determine j, given that 4*j**4 - 40*j**3 + 92*j**2 + 40*j - 96 = 0.
-1, 1, 4, 6
Factor 4*d**2/11 - 1594*d/11 + 796/11.
2*(d - 398)*(2*d - 1)/11
Determine t, given that -t**5 - 144*t**4 - 5325*t**3 - 10082*t**2 = 0.
-71, -2, 0
Determine a so that 3*a**3/5 - 27*a**2/5 + 42*a/5 = 0.
0, 2, 7
Solve 4*o**3 - 40*o**2/7 - 2804*o/7 - 1584/7 = 0 for o.
-9, -4/7, 11
Suppose -4*x**4 - 168*x**3 + 204*x**2 + 1328*x - 2064 = 0. What is x?
-43, -3, 2
Suppose a**3 + 169*a**2/4 + 103*a/2 + 41/4 = 0. Calculate a.
-41, -1, -1/4
Suppose 3*l**4 + 4*l**3 - 12*l**2 - 16*l = 0. What is l?
-2, -4/3, 0, 2
Let -o**3 - 2*o**2 + o + 2 = 0. What is o?
-2, -1, 1
Factor -s**2/3 - 820*s/3 - 168100/3.
-(s + 410)**2/3
What is x in -2*x**5/21 + 26*x**4/21 + 58*x**3/21 + 10*x**2/7 = 0?
-1, 0, 15
Factor d**4 - 6*d**3 - 27*d**2.
d**2*(d - 9)*(d + 3)
Find s, given that -s**4 + 3*s**3 + 3*s**2 - 7*s - 6 = 0.
-1, 2, 3
Factor 4*r**2 + 164*r.
4*r*(r + 41)
Factor 4*v**2 - 28*v.
4*v*(v - 7)
Factor 2*u**3/13 - 86*u**2/13 + 368*u/13 + 456/13.
2*(u - 38)*(u - 6)*(u + 1)/13
Let 15*y**4 + 85*y**3 + 170*y**2 + 140*y + 40 = 0. What is y?
-2, -1, -2/3
Factor a**4/5 + 3457*a**3/5 + 597888*a**2 + 2985984*a/5.
a*(a + 1)*(a + 1728)**2/5
Suppose -j**5 + 19*j*