 -1, 1/4
Let 4*f**5 - 28*f**4 - 112*f**3 - 80*f**2 = 0. Calculate f.
-2, -1, 0, 10
Factor -15*f**3 - 200*f**2 - 245*f - 60.
-5*(f + 1)*(f + 12)*(3*f + 1)
Factor -2*o**3/7 - 8*o**2.
-2*o**2*(o + 28)/7
Factor -3*i**2/5 + 6*i + 693/5.
-3*(i - 21)*(i + 11)/5
Factor -2*s**4/5 + 2*s**3 - 4*s**2/5 - 16*s/5.
-2*s*(s - 4)*(s - 2)*(s + 1)/5
Factor -2*j**3/7 - 20*j**2/7 + 22*j/7.
-2*j*(j - 1)*(j + 11)/7
What is m in 27*m**3 + 3357*m**2 - 2247*m + 375 = 0?
-125, 1/3
Suppose 2*g**3/13 + 42*g**2/13 - 44*g/13 = 0. What is g?
-22, 0, 1
Factor -3*v**2/7 + 27*v/7 - 24/7.
-3*(v - 8)*(v - 1)/7
Factor 2*t**2/5 + 8*t/5 - 42/5.
2*(t - 3)*(t + 7)/5
Factor -2*q**4/9 - 20*q**3/9 - 50*q**2/9.
-2*q**2*(q + 5)**2/9
Suppose y**3/3 + 1328*y**2/3 + 440896*y/3 = 0. Calculate y.
-664, 0
Determine i so that 20*i**3 + 44*i**2 - 152*i - 32 = 0.
-4, -1/5, 2
Solve -5*l**5 - 510*l**4 - 13505*l**3 - 25500*l**2 - 12500*l = 0.
-50, -1, 0
Suppose 3*n**5 - 9*n**4 - 165*n**3 - 423*n**2 - 270*n = 0. What is n?
-3, -1, 0, 10
Determine n, given that -n**4/3 + 16*n**2/3 = 0.
-4, 0, 4
Determine l, given that -4*l**2 - 416*l + 848 = 0.
-106, 2
Solve 2*b**2/3 - 4920*b + 9077400 = 0.
3690
Find c such that 2*c**3 - 82*c**2 + 528*c = 0.
0, 8, 33
Factor -3*z**5 + 27*z**4 - 69*z**3 - 27*z**2 + 324*z - 324.
-3*(z - 3)**3*(z - 2)*(z + 2)
Suppose 4*b**3 - 3726*b**2 - 9336*b - 3736 = 0. What is b?
-2, -1/2, 934
Factor -2*a**3 - 50*a**2/9 + 4*a/3.
-2*a*(a + 3)*(9*a - 2)/9
Factor q**3 + q**2 - 5*q + 3.
(q - 1)**2*(q + 3)
Let -2*q**2/3 - 4084*q/3 - 2084882/3 = 0. What is q?
-1021
Factor -2*h**2/13 + 36*h/13 + 38/13.
-2*(h - 19)*(h + 1)/13
Factor k**3/4 - 15*k**2/4 - 171*k/2 - 154.
(k - 28)*(k + 2)*(k + 11)/4
Factor -w**3/3 + 33*w**2 - 800*w - 2500/3.
-(w - 50)**2*(w + 1)/3
Let 5*o**2 - 20*o = 0. Calculate o.
0, 4
Factor -3*i**3 + 21*i**2 + 24*i.
-3*i*(i - 8)*(i + 1)
Find i such that -2*i**3/7 - 20*i**2/7 - 66*i/7 - 72/7 = 0.
-4, -3
Factor -3*v**2 - 216*v - 3888.
-3*(v + 36)**2
Determine k so that 2*k**5/11 - 956*k**4/11 + 153584*k**3/11 - 8491552*k**2/11 + 32153632*k/11 - 31554496/11 = 0.
2, 158
Find d such that 45*d**3 + 93*d**2 + 60*d + 12 = 0.
-1, -2/3, -2/5
Find n, given that -7*n**3/3 + 53*n**2/3 + 392*n/3 - 80 = 0.
-5, 4/7, 12
Factor -4*f**4 + 40*f**3 - 64*f**2.
-4*f**2*(f - 8)*(f - 2)
Factor -s**2/10 + 2*s + 21/10.
-(s - 21)*(s + 1)/10
Find u, given that -2*u**2/3 - 3862*u/3 - 3860/3 = 0.
-1930, -1
Factor j**2/7 + 65*j/7 + 72.
(j + 9)*(j + 56)/7
Let -4*s**2/5 - 1296*s - 524880 = 0. What is s?
-810
Factor -2*b**5 + 22*b**4 - 64*b**3 + 56*b**2.
-2*b**2*(b - 7)*(b - 2)**2
Find t, given that 5*t**2 - 90*t - 95 = 0.
-1, 19
What is p in 3*p**3/5 + 1062*p**2/5 + 4212*p/5 + 840 = 0?
-350, -2
Find a, given that 10*a**4 + 75*a**3 - 365*a**2 + 240*a + 220 = 0.
-11, -1/2, 2
Factor 2*h**2/13 + 2*h/13 - 40/13.
2*(h - 4)*(h + 5)/13
Suppose 12*z**5/5 + 27*z**4/5 - 51*z**3/5 - 126*z**2/5 + 12*z/5 + 72/5 = 0. Calculate z.
-2, -1, 3/4, 2
Determine m so that 3*m**5/4 - 273*m**4 + 543*m**3 + 3*m**2/2 - 2175*m/4 + 543/2 = 0.
-1, 1, 362
Factor 8*r**4 + 20*r**3 + 12*r**2.
4*r**2*(r + 1)*(2*r + 3)
Let -45*u**4 + 125*u**3 - 105*u**2 + 15*u + 10 = 0. What is u?
-2/9, 1
Suppose -4*v**5/5 + 214*v**4/15 - 652*v**3/15 - 3166*v**2/15 + 584*v/3 - 40 = 0. Calculate v.
-3, 1/3, 1/2, 10
Solve 7*l**4/5 - 31*l**3/5 + 36*l**2/5 + 4*l/5 - 16/5 = 0.
-4/7, 1, 2
Factor i**2 + 9*i.
i*(i + 9)
Determine i so that -65*i**2 - 2345*i - 2280 = 0.
-456/13, -1
Solve 4*y**2/5 + 8*y + 64/5 = 0.
-8, -2
Let -63253004*d**3/9 + 252004*d**2/3 - 1004*d/3 + 4/9 = 0. Calculate d.
1/251
Determine a, given that -4*a**2 - 644*a - 640 = 0.
-160, -1
Factor 3*a**2/7 - 1920*a/7 - 1923/7.
3*(a - 641)*(a + 1)/7
Find i, given that 2*i**4/7 - 120*i**3/7 + 2214*i**2/7 - 1768*i + 20280/7 = 0.
3, 5, 26
Determine j, given that -j**2/7 + 1006*j/7 - 253009/7 = 0.
503
Suppose -2*s**3/5 - 8*s**2/5 + 6*s + 36/5 = 0. What is s?
-6, -1, 3
Factor 2*w**2/3 - 1502*w + 4504/3.
2*(w - 2252)*(w - 1)/3
Find g, given that -5*g**2 + 4430*g = 0.
0, 886
Find p such that -p**4/11 - 39*p**3/11 - 360*p**2/11 + 400*p/11 = 0.
-20, 0, 1
Factor 12*q**2 - 316*q - 216.
4*(q - 27)*(3*q + 2)
Solve -36*l**5 + l**4 + 110*l**3 + 69*l**2 - 8*l - 4 = 0 for l.
-1, -2/9, 1/4, 2
What is i in -4*i**4/21 + 38*i**3/21 - 26*i**2/7 + 58*i/21 - 2/3 = 0?
1/2, 1, 7
Solve -3*m**2 + 3*m + 36 = 0.
-3, 4
Let -2*f**3 + 64*f**2 - 114*f - 180 = 0. What is f?
-1, 3, 30
Factor 4*o**2 - 12*o - 16.
4*(o - 4)*(o + 1)
Find n such that n**4 + 38*n**3 + 396*n**2 + 648*n = 0.
-18, -2, 0
Factor -f**3/5 + 261*f**2/5 + 1597*f/5 + 267.
-(f - 267)*(f + 1)*(f + 5)/5
Factor 2*g**2 - 70*g - 688.
2*(g - 43)*(g + 8)
Factor t**4/4 - 11*t**3/4 - 13*t**2/2.
t**2*(t - 13)*(t + 2)/4
Factor -2*x**5/7 - 8*x**4/7 - 10*x**3/7 - 4*x**2/7.
-2*x**2*(x + 1)**2*(x + 2)/7
Factor -2*p**2/5 - 154*p/5 - 2652/5.
-2*(p + 26)*(p + 51)/5
Solve -27*n**4 + 480*n**3 + 5400*n**2 + 9600*n + 1872 = 0.
-6, -2, -2/9, 26
Factor -c**2/4 - 11*c/2.
-c*(c + 22)/4
Find x such that 112*x**2 + 2116*x - 228 = 0.
-19, 3/28
Determine b, given that -3*b**5 - 6*b**4 + 135*b**3 - 102*b**2 - 240*b = 0.
-8, -1, 0, 2, 5
Solve q**2 - 87*q + 332 = 0.
4, 83
Factor -k**3/2 + k**2 + 2*k - 4.
-(k - 2)**2*(k + 2)/2
Solve -2*o**4/9 + 20*o**3/9 + 74*o**2/9 + 52*o/9 = 0.
-2, -1, 0, 13
Determine s, given that 30*s**5 - 93*s**4 + 69*s**3 - 6*s**2 = 0.
0, 1/10, 1, 2
Solve -5*k**3 + 16*k**2 + 17*k - 4 = 0.
-1, 1/5, 4
Determine m so that 5*m**3 + 35*m**2 - 200*m + 220 = 0.
-11, 2
What is t in -2*t**5/3 - 62*t**4/3 - 506*t**3/3 - 110*t**2 + 300*t = 0?
-15, -2, 0, 1
Solve -2*p**3 + 168*p**2 + 342*p + 172 = 0.
-1, 86
Factor -2*x**3/5 - 18*x**2 - 856*x/5 + 2088/5.
-2*(x - 2)*(x + 18)*(x + 29)/5
Factor -92*z**5 - 459*z**4 - 823*z**3 - 635*z**2 - 177*z + 2.
-(z + 1)**3*(z + 2)*(92*z - 1)
Factor 13*l**2 - 12114*l - 1864.
(l - 932)*(13*l + 2)
Factor 2*r**2/11 - 1698*r/11 + 308.
2*(r - 847)*(r - 2)/11
Factor j**3/4 - j**2 - 7*j/4 + 5/2.
(j - 5)*(j - 1)*(j + 2)/4
Find d, given that -2*d**2/3 + 766*d/3 + 256 = 0.
-1, 384
What is u in -u**4/2 + 9*u**3 - 117*u**2/2 + 162*u - 162 = 0?
3, 6
Suppose -8*h**4 - 86*h**3 + 254*h**2 + 254*h - 78 = 0. Calculate h.
-13, -1, 1/4, 3
Factor 12675*o**2/4 + 195*o/2 + 3/4.
3*(65*o + 1)**2/4
Factor -2*x**3/3 - 1330*x**2/3 - 221776*x/3 - 220448/3.
-2*(x + 1)*(x + 332)**2/3
Find o such that -2*o**4 - 44*o**3 - 242*o**2 = 0.
-11, 0
Find f, given that -169*f**2/2 + 39*f - 9/2 = 0.
3/13
Determine f, given that 2*f**4/13 - 50*f**3/13 + 282*f**2/13 + 34*f - 52 = 0.
-2, 1, 13
Factor -4*h**2 - 240*h - 236.
-4*(h + 1)*(h + 59)
Factor 2*g**5/3 + 44*g**4/3 + 112*g**3 + 288*g**2 - 288*g - 1728.
2*(g - 2)*(g + 6)**4/3
Factor -3*k**5 - 42*k**4 - 108*k**3 - 102*k**2 - 33*k.
-3*k*(k + 1)**3*(k + 11)
Determine i so that -5*i**3 - 855*i**2/2 - 210*i + 425/2 = 0.
-85, -1, 1/2
Factor -f**2/7 - 34*f/7 - 33/7.
-(f + 1)*(f + 33)/7
Determine w so that 5*w**2 - 580*w - 585 = 0.
-1, 117
Find t such that -10*t**5/3 - 20*t**4/3 + 245*t**3/2 - 1655*t**2/6 + 565*t/3 - 40 = 0.
-8, 1/2, 2, 3
Factor -8*w**2 + 86*w + 22.
-2*(w - 11)*(4*w + 1)
Suppose -5*g**2 - 5*g + 10 = 0. Calculate g.
-2, 1
Solve 2*k**2/5 - 94*k/5 = 0.
0, 47
Let -x**3/4 + 49*x**2/2 - 2401*x/4 = 0. Calculate x.
0, 49
Determine y so that -12*y**3 - 33*y**2 + 18*y + 27 = 0.
-3, -3/4, 1
Solve z**2/4 + 7*z/4 - 15 = 0 for z.
-12, 5
Let 2*v**3 + 250*v**2 + 494*v + 246 = 0. Calculate v.
-123, -1
Determine p so that 34*p**4/9 + 10*p**3/3 - 4*p**2/9 = 0.
-1, 0, 2/17
Determine o so that o**4/4 + 17*o**3/4 + 57*o**2/4 + 67*o/4 + 13/2 = 0.
-13, -2, -1
Determine h, given that 6*h**5 - 39*h**4 + 96*h**3 - 111*h**2 + 60*h - 12 = 0.
1/2, 1, 2
Factor 4*t**5/3 + 12*t**4 + 20*t**3 + 28*t**2/3.
4*t**2*(t + 1)**2*(t + 7)/3
Determine w, given that 40*w**4 + 45*w**3 - 35*w**2 - 45*w - 5 = 0.
-1, -1/8, 1
Factor -2*d**3/9 + d**2/9 + d/3.
-d*(d + 1)*(2*d - 3)/9
Factor -m**3/4 - 3*m**2/4 - m/2.
-m*(m + 1)*(m + 2)/4
Find y, given that -5*y**2/8 - 9*y/4 + 1 = 0.
-4, 2/5
Let 8*d**4 + 1024*d**3 - 6*d**2 - 766*d + 256 = 0. Calculate d.
-128, -1, 1/2
Factor 2*f**5 - 2*f**4 - 8*f**3 + 8*f**2.
2*f**2*(f - 2)*(f - 1)*(f + 2)
Factor p**3/5 + 16*p**2/5 - 39*p/5 - 54/5.
(p - 3)*(p + 1)*(p + 18)/5
Factor -3*g**4 - 14*g**3 + 25*g**2 + 4*g - 12.
-(g - 1)**2*(g + 6)*(3*g + 2)
Let 8*g**5 - 