, 405
Determine m, given that -5*m**4 - 675*m**3 + 680*m**2 = 0.
-136, 0, 1
Factor -2*g**3 + 32*g**2 + 72*g.
-2*g*(g - 18)*(g + 2)
Let -2*a**3 + 494*a**2 - 1952*a + 1944 = 0. Calculate a.
2, 243
Factor 8*x**2/11 + 2*x/11.
2*x*(4*x + 1)/11
Solve 3*l**2/8 - 177*l/2 = 0.
0, 236
What is c in c**2/4 - 133*c/2 = 0?
0, 266
Suppose 2*i**2 + 18*i - 44 = 0. What is i?
-11, 2
Factor 2*i**5 + 38*i**4 - 396*i**3 + 972*i**2 - 54*i - 1458.
2*(i - 3)**3*(i + 1)*(i + 27)
Find t such that -3*t**2 + 51*t - 90 = 0.
2, 15
Factor 4*b**3 - 60*b**2.
4*b**2*(b - 15)
Factor -2*k**3 - 2*k**2 + 32*k - 40.
-2*(k - 2)**2*(k + 5)
Factor 5*z**3 - 60*z**2 - 5*z + 60.
5*(z - 12)*(z - 1)*(z + 1)
Factor -529*j**3 - 11730*j**2 - 2028*j - 88.
-(j + 22)*(23*j + 2)**2
Find w, given that -2*w**5/17 + 2*w**4/17 + 14*w**3/17 - 26*w**2/17 + 12*w/17 = 0.
-3, 0, 1, 2
Find b such that -b**3/7 + 72*b**2/7 - 20*b = 0.
0, 2, 70
Determine r, given that -2*r**5/7 - 100*r**4/7 - 1650*r**3/7 - 10000*r**2/7 - 20000*r/7 = 0.
-20, -5, 0
Factor 9*d**5 - 97*d**4 + 293*d**3 - 155*d**2 - 50*d.
d*(d - 5)**2*(d - 1)*(9*d + 2)
Factor 2*y**4/9 + 1768*y**3/9 + 43610*y**2 + 86436*y.
2*y*(y + 2)*(y + 441)**2/9
Factor -n**2 + 46*n + 47.
-(n - 47)*(n + 1)
Factor -4*p**2 + 72*p + 1440.
-4*(p - 30)*(p + 12)
Let -10*m**5 + 32*m**4 - 8*m**3 - 32*m**2 = 0. Calculate m.
-4/5, 0, 2
Solve -22*p**2 + 24*p - 2 = 0.
1/11, 1
Find u, given that 5*u**3 - 150*u**2 + 535*u - 390 = 0.
1, 3, 26
Find t, given that -5*t**4 + 45*t**3 + 15*t**2 - 125*t - 90 = 0.
-1, 2, 9
Factor 2*i**3/3 + 16*i**2/3 + 10*i/3 - 28/3.
2*(i - 1)*(i + 2)*(i + 7)/3
Factor -2*f**2/11 + 8*f/11 - 6/11.
-2*(f - 3)*(f - 1)/11
Factor k**2 - 180*k + 704.
(k - 176)*(k - 4)
Factor -3*h**4/4 - 3*h**3/4 + 3*h**2/4 + 3*h/4.
-3*h*(h - 1)*(h + 1)**2/4
Factor i**3/2 + 113*i**2/2.
i**2*(i + 113)/2
Factor 4*m**3 - 28*m**2 - 276*m - 468.
4*(m - 13)*(m + 3)**2
Solve 130321*x**2/2 + 5415*x + 225/2 = 0.
-15/361
Find r such that 2*r**2 + 4*r - 48 = 0.
-6, 4
Factor 5*c**4 - 275*c**3 + 3915*c**2 - 3645*c.
5*c*(c - 27)**2*(c - 1)
Factor -3*s**3 - 60*s**2 - 231*s + 726.
-3*(s - 2)*(s + 11)**2
Factor -2*h**2 + 26*h.
-2*h*(h - 13)
Factor -k**4/2 + 49*k**3/2 - 70*k**2 + 46*k.
-k*(k - 46)*(k - 2)*(k - 1)/2
Determine t so that t**2 + 10530*t + 27720225 = 0.
-5265
Factor -w**4/2 - 363*w**3/4 - 4095*w**2 + 8281*w/4.
-w*(w + 91)**2*(2*w - 1)/4
Suppose 2*s**3/3 + 6*s**2 - 14*s + 22/3 = 0. Calculate s.
-11, 1
Find f such that f**2/10 + 144*f/5 + 10368/5 = 0.
-144
Find i, given that 3*i**5/4 + 15*i**4/4 - 3*i**3 - 33*i**2 - 36*i = 0.
-4, -2, 0, 3
Determine p so that 5*p**4 + 70*p**3 + 345*p**2 + 700*p + 500 = 0.
-5, -2
Suppose -2*m**2 + 2*m/5 + 84/5 = 0. What is m?
-14/5, 3
Determine a, given that 4*a**2/7 + 40*a/7 - 300/7 = 0.
-15, 5
Factor -3*s**2/2 - 126*s - 2646.
-3*(s + 42)**2/2
Determine t, given that -4*t**4 + 4*t**3 = 0.
0, 1
Find b, given that -2*b**2 + 114*b - 112 = 0.
1, 56
Factor 5*n**4 + 128*n**3 + 793*n**2 - 338*n.
n*(n + 13)**2*(5*n - 2)
Let 186*c**5/5 - 10652*c**4/5 + 2846*c**3/5 + 228*c**2/5 = 0. What is c?
-2/31, 0, 1/3, 57
Factor -2*j**2/7 + 2*j/7 + 144/7.
-2*(j - 9)*(j + 8)/7
Let 3*s**4/4 - 21*s**3/4 = 0. What is s?
0, 7
Find m, given that -2*m**3 + 6*m**2 + 56*m = 0.
-4, 0, 7
Factor 3*l**2 - 9*l + 6.
3*(l - 2)*(l - 1)
Suppose -151380*h**3 - 149640*h**2 + 1735*h - 5 = 0. Calculate h.
-1, 1/174
Factor -20*k**3/3 - 52*k**2/3 + 8*k.
-4*k*(k + 3)*(5*k - 2)/3
Factor -3*s**4 - 10*s**3 - 3*s**2 + 12*s + 4.
-(s - 1)*(s + 2)**2*(3*s + 1)
Let 2*f**2/11 - 10656*f/11 + 14193792/11 = 0. Calculate f.
2664
Find k, given that -21*k**3 + 51*k**2 - 18*k = 0.
0, 3/7, 2
Determine f so that -13*f**4/6 + 79*f**3/3 + 170*f**2/3 - 28*f/3 = 0.
-2, 0, 2/13, 14
Find h such that 2*h**3/9 - 248*h**2/9 + 7688*h/9 = 0.
0, 62
Solve 2*r**4/3 - 100*r**3 + 3750*r**2 = 0 for r.
0, 75
Factor -6*o**3/5 - 258*o**2 + 2598*o/5 - 1302/5.
-6*(o - 1)**2*(o + 217)/5
Factor -2*h**5/5 + 8*h**4/5 - 6*h**3/5.
-2*h**3*(h - 3)*(h - 1)/5
Factor 425*v**3/4 - 115*v**2 + 93*v/4 + 9/2.
(5*v - 3)**2*(17*v + 2)/4
Factor 715*y**2/2 + 355*y - 5/2.
5*(y + 1)*(143*y - 1)/2
Solve b**4 - 12*b**3 + 21*b**2 + 62*b - 72 = 0.
-2, 1, 4, 9
Factor 12*i**3 + 345*i**2 + 2289*i - 594.
3*(i + 11)*(i + 18)*(4*i - 1)
Let -4*l**2 - 56*l + 204 = 0. Calculate l.
-17, 3
Determine b, given that -4*b**3 + 376*b**2 - 8448*b - 18432 = 0.
-2, 48
Suppose a**5 - 7*a**4 + 7*a**3 + 15*a**2 = 0. Calculate a.
-1, 0, 3, 5
Factor 3*q**2/5 - 114*q/5 + 1083/5.
3*(q - 19)**2/5
Determine c, given that 2*c**4/7 + 22*c**3/7 - 32*c**2/7 - 352*c/7 = 0.
-11, -4, 0, 4
Let -m**3/9 + 8*m**2/9 + 23*m/9 - 10/3 = 0. Calculate m.
-3, 1, 10
Determine g so that 18*g**5/19 + 474*g**4/19 - 634*g**3/19 - 8746*g**2/19 - 10272*g/19 - 3240/19 = 0.
-27, -3, -2/3, 5
Let -21*k**5/4 + 309*k**4/4 - 1191*k**3/4 + 75*k**2/4 + 546*k + 147 = 0. Calculate k.
-1, -2/7, 2, 7
Let -3*m**5 + 38*m**4 - 66*m**3 - 148*m**2 + 69*m + 110 = 0. Calculate m.
-1, 1, 11/3, 10
Suppose 3*i**2/8 + 1263*i/8 - 633/4 = 0. Calculate i.
-422, 1
Factor 25*h**2 + 245*h - 50.
5*(h + 10)*(5*h - 1)
Solve -5*n**4 + 90*n**3 + 195*n**2 + 100*n = 0 for n.
-1, 0, 20
Find q such that -3*q**4/8 + 9*q**3/8 + 39*q**2/8 - 45*q/8 = 0.
-3, 0, 1, 5
Factor -3*c**4/7 - 2244*c**3/7 - 629442*c**2/7 - 78470436*c/7 - 3668492883/7.
-3*(c + 187)**4/7
Determine p, given that -17*p**3/3 + 19*p**2/3 - 2*p/3 = 0.
0, 2/17, 1
Determine h, given that 24*h**5/5 - 303*h**4/5 - 117*h**3/5 = 0.
-3/8, 0, 13
Determine y so that 3*y**3 - 1269*y**2 - 1278*y + 2544 = 0.
-2, 1, 424
Let g**2 + 946*g + 223729 = 0. What is g?
-473
Find s, given that -36*s**4 + 1140*s**3 + 416*s**2 - 1008*s - 512 = 0.
-2/3, 1, 32
Let -3*y**2/2 + 3*y/2 + 9 = 0. Calculate y.
-2, 3
Determine q, given that -5*q**4 - 285*q**3 = 0.
-57, 0
Factor -4*p**2/3 - 108*p - 320/3.
-4*(p + 1)*(p + 80)/3
Factor -2*x**2/9 + 8*x/3.
-2*x*(x - 12)/9
Determine v, given that -v**5 + 37*v**4 - 329*v**3 + 743*v**2 - 450*v = 0.
0, 1, 2, 9, 25
Solve 3*n**3 - 129*n**2 + 477*n - 351 = 0.
1, 3, 39
Determine q, given that -5*q**5 + 103*q**4 - 693*q**3 + 1421*q**2 + 686*q = 0.
-2/5, 0, 7
Factor -t**2 - 14374*t - 51652969.
-(t + 7187)**2
Factor 4*d**4 - 36*d**3 + 28*d**2 + 36*d - 32.
4*(d - 8)*(d - 1)**2*(d + 1)
Find z such that -3*z**2 + 8*z/3 + 1/3 = 0.
-1/9, 1
Factor -2*h**2/5 + 14*h/5 - 24/5.
-2*(h - 4)*(h - 3)/5
Find c, given that c**5/7 - 17*c**4/7 - c**3/7 + 17*c**2/7 = 0.
-1, 0, 1, 17
Factor 3*i**4/2 + 21*i**3/2 - 12*i**2.
3*i**2*(i - 1)*(i + 8)/2
Solve c**2/2 - 97*c - 195/2 = 0 for c.
-1, 195
Find l such that 32*l**2 + 132*l/5 + 4 = 0.
-5/8, -1/5
Factor -5*b**4 - 10*b**3.
-5*b**3*(b + 2)
Solve 35*f**5 - 284*f**4 + 203*f**3 + 1762*f**2 - 220*f - 200 = 0 for f.
-2, -2/7, 2/5, 5
Factor 5*l**3 + 195*l**2 + 715*l + 525.
5*(l + 1)*(l + 3)*(l + 35)
Factor -2*i**3/5 - 6*i**2/5 + 18*i/5 - 2.
-2*(i - 1)**2*(i + 5)/5
Determine y so that -2*y**5 + 8*y**4 + 4*y**3 - 16*y**2 - 2*y + 8 = 0.
-1, 1, 4
Factor 5*c**2/4 + 23*c/2 + 9/4.
(c + 9)*(5*c + 1)/4
Factor -d**5/3 + 6*d**4.
-d**4*(d - 18)/3
What is y in -y**3/8 - 5*y**2/8 - 3*y/4 = 0?
-3, -2, 0
What is v in 3*v**3 + 84*v**2 + 357*v + 276 = 0?
-23, -4, -1
Solve -5*a**3 + 155*a**2 + 220*a - 1920 = 0.
-4, 3, 32
Let -5*j**5 + 35*j**4 + 5*j**3 - 215*j**2 + 180 = 0. What is j?
-2, -1, 1, 3, 6
Factor -2*u**2 + 336*u - 14112.
-2*(u - 84)**2
Suppose -j**2 - 6*j + 40 = 0. Calculate j.
-10, 4
Let 8*q**4/15 + 34*q**3/5 + 214*q**2/15 - 4*q = 0. What is q?
-10, -3, 0, 1/4
Find t such that -2*t**3 + 78*t**2 + 84*t - 160 = 0.
-2, 1, 40
Solve 20*q**2 + 352*q + 1484 = 0.
-53/5, -7
Find h such that -h**4/4 - 69*h**3/4 + 1031*h**2/4 - 2919*h/4 - 2009/2 = 0.
-82, -1, 7
Solve -3*m**4/4 + 255*m**3/4 - 987*m**2/4 + 1221*m/4 - 243/2 = 0 for m.
1, 2, 81
Find p, given that -48*p**5 + 100*p**4 + 352*p**3 + 116*p**2 - 184*p - 96 = 0.
-1, -2/3, 3/4, 4
Suppose -2*v**2/7 + 76*v/7 = 0. Calculate v.
0, 38
Let -14*r**4 + 4994*r**3 - 452046*r**2 + 1186254*r + 375948 = 0. What is r?
-2/7, 3, 177
Factor -2*c**2/7 - 384*c/7 + 776/7.
-2*(c - 2)*(c + 194)/7
Find p, given that 3*p**5 + 201*p**4 - 423*p**3 - 621*p**2 = 0.
-69, -1, 0, 3
Determine j, given that 6*j**5 + 91*j**4 - 687*j**3 + 1017*j**2 + 189*j = 0.
-21, -1/6, 0, 3
Factor 4*l**2/5 - 1088*l/5 - 2192/5.
4*(l - 274)*(l + 2)/5
Let -32*z**3/7 - 176*z*