2*r*(r + 1)**3*(r + 2)
Determine r, given that -2*r**4/3 + 10096*r**3/3 - 12751244*r**2/3 + 8490736*r - 4243686 = 0.
1, 2523
Determine l so that -2*l**5 - 2*l**4 + 100*l**3 + 100*l**2 - 98*l - 98 = 0.
-7, -1, 1, 7
Solve -m**4/5 - 18*m**3 - 1837*m**2/5 + 1692*m - 8836/5 = 0 for m.
-47, 2
Factor v**2/11 - 188*v/11 + 8836/11.
(v - 94)**2/11
Suppose a**2/4 - 13*a/4 + 11/2 = 0. Calculate a.
2, 11
Let 1091*j**4/3 - 363*j**3 - 2*j**2/3 = 0. Calculate j.
-2/1091, 0, 1
Factor 3*d**3 - 15*d**2.
3*d**2*(d - 5)
Suppose -2*z**3 + 6*z**2 + 1268*z + 3696 = 0. Calculate z.
-22, -3, 28
Factor -5*u**5 + 5*u**3.
-5*u**3*(u - 1)*(u + 1)
Determine f, given that f**5 - 68*f**4 + 1500*f**3 - 10762*f**2 - 1501*f + 10830 = 0.
-1, 1, 19, 30
Factor 5*a**2 + 135*a.
5*a*(a + 27)
Factor 24*h**3 + 309*h**2 - 738*h + 405.
3*(h - 1)*(h + 15)*(8*h - 9)
Let -5*n**2 + 2750*n + 13875 = 0. What is n?
-5, 555
Factor -w**3/3 + 109*w**2/3 - 1008*w + 972.
-(w - 54)**2*(w - 1)/3
Factor -2*u**3/3 - 8*u**2/3 + 10*u/3.
-2*u*(u - 1)*(u + 5)/3
Solve 8*n**5 - 28*n**4 - 36*n**3 + 88*n**2 - 32*n = 0.
-2, 0, 1/2, 1, 4
Determine n, given that 2*n**3/11 - 12*n**2/11 - 8*n/11 + 48/11 = 0.
-2, 2, 6
Factor s**5/4 + 7*s**4/2 + 75*s**3/4 + 97*s**2/2 + 61*s + 30.
(s + 2)**3*(s + 3)*(s + 5)/4
Factor t**2/6 + 2*t.
t*(t + 12)/6
Solve -338*w**2/7 + 936*w/7 - 648/7 = 0 for w.
18/13
What is g in -g**4 - 14*g**3 - 65*g**2 - 100*g = 0?
-5, -4, 0
Let -30*y**5/7 + 34*y**4/7 - 4*y**3/7 = 0. Calculate y.
0, 2/15, 1
Factor -3*z**3/8 + 33*z**2/4 - 363*z/8.
-3*z*(z - 11)**2/8
Factor 5*v**4 + 5*v**3 - 570*v**2 + 1080*v.
5*v*(v - 9)*(v - 2)*(v + 12)
Suppose -4*z**2 - 120*z - 116 = 0. What is z?
-29, -1
Solve -2*l**4/3 - 8*l**3/3 - 4*l**2/3 + 8*l/3 + 2 = 0.
-3, -1, 1
Factor 6*p**3/7 + 38*p**2/7 - 1104*p/7 + 3960/7.
2*(p - 6)**2*(3*p + 55)/7
Factor 2*u**2/15 - 26*u - 396/5.
2*(u - 198)*(u + 3)/15
What is v in -2*v**3/9 + 8*v**2 - 46*v/3 + 68/9 = 0?
1, 34
Solve x**4 - 104*x**3 + 205*x**2 - 102*x = 0 for x.
0, 1, 102
Let l**2 - 140*l + 411 = 0. What is l?
3, 137
Suppose -p**3/7 - 3*p**2/7 + 1320*p/7 + 19844/7 = 0. What is p?
-22, 41
Determine i so that -2*i**2/5 - 276*i/5 + 286 = 0.
-143, 5
Factor 5*q**3/3 + 95*q**2/3 + 145*q + 195.
5*(q + 3)**2*(q + 13)/3
Determine s, given that 4*s**3 + 1144*s**2 = 0.
-286, 0
Find i such that -12*i**3 + 268*i**2 + 8344*i + 5440 = 0.
-17, -2/3, 40
Factor -2*s**2 - 5480*s - 3753800.
-2*(s + 1370)**2
Factor -5*z**2 - 10*z + 75.
-5*(z - 3)*(z + 5)
Suppose 4*a**3 + 8*a**2 - 60*a = 0. What is a?
-5, 0, 3
Factor 5*s**4 - 30*s**2 - 40*s - 15.
5*(s - 3)*(s + 1)**3
Factor 4*x**2 - 224*x - 960.
4*(x - 60)*(x + 4)
Suppose -4*q**5/3 - 46*q**4/3 + 12*q**3 + 146*q**2/3 + 20*q/3 - 16 = 0. Calculate q.
-12, -1, 1/2, 2
Suppose -y**2 + 51*y + 162 = 0. Calculate y.
-3, 54
Find a such that a**2/4 - 7*a/4 - 9/2 = 0.
-2, 9
Factor 6*s**5 + 550*s**4 + 12512*s**3 - 4232*s**2.
2*s**2*(s + 46)**2*(3*s - 1)
Solve -3*m**3/7 - 24*m**2/7 - 57*m/7 - 36/7 = 0.
-4, -3, -1
Solve 3*j**3/5 - 87*j**2/5 + 105*j - 441/5 = 0 for j.
1, 7, 21
Factor 5*d**3 - 25*d**2 - 160*d - 180.
5*(d - 9)*(d + 2)**2
Factor -u**3/2 + 3*u**2/2 + u/2 - 3/2.
-(u - 3)*(u - 1)*(u + 1)/2
Suppose -15*n**5 - 84*n**4 + 501*n**3 + 174*n**2 - 1764*n + 648 = 0. Calculate n.
-9, -2, 2/5, 2, 3
Determine r so that r**2/7 - 18*r/7 + 32/7 = 0.
2, 16
Determine c so that -22*c**4/15 - 238*c**3/15 - 44*c**2/5 + 472*c/15 - 16/3 = 0.
-10, -2, 2/11, 1
Find t, given that 2*t**2 - 330*t + 1908 = 0.
6, 159
Factor 3*l**2/7 - 6*l/7.
3*l*(l - 2)/7
Factor 3*f**3/7 - 39*f**2/7 + 141*f/7 - 15.
3*(f - 7)*(f - 5)*(f - 1)/7
Suppose -2*t**3/11 - 42*t**2/11 + 140*t/11 - 96/11 = 0. Calculate t.
-24, 1, 2
Factor -3*v**5 - 96*v**4 - 855*v**3 - 1350*v**2.
-3*v**2*(v + 2)*(v + 15)**2
Factor -3*g**3/4 + 9*g**2/2 - 15*g/4 - 9.
-3*(g - 4)*(g - 3)*(g + 1)/4
Factor 10*w**3 + 19*w**2 + 8*w - 1.
(w + 1)**2*(10*w - 1)
Determine z, given that -5*z**2 + 22360*z - 24998480 = 0.
2236
Find v, given that -v**4 + 16*v**3 + 113*v**2 - 120*v - 1008 = 0.
-4, 3, 21
Factor -605*s**3/3 - 110*s**2 - 15*s.
-5*s*(11*s + 3)**2/3
Find r, given that r**2/2 + r/2 - 1 = 0.
-2, 1
Factor -3*h**3/4 + 51*h**2/4 + 105*h/2 - 150.
-3*(h - 20)*(h - 2)*(h + 5)/4
Factor -y**3 - 11*y**2 - 35*y - 25.
-(y + 1)*(y + 5)**2
Determine w, given that 4*w**4 - 196*w**3 + 188*w**2 + 196*w - 192 = 0.
-1, 1, 48
Factor 2*t**3/13 - 2064*t**2/13.
2*t**2*(t - 1032)/13
What is y in 4*y**3 - 180*y**2 + 1500*y + 12500 = 0?
-5, 25
Factor -3*b**4 + 2913*b**3 - 944775*b**2 + 102972723*b - 202189602.
-3*(b - 323)**3*(b - 2)
What is g in 5*g**4 - 110*g**3 + 760*g**2 - 2080*g + 1920 = 0?
2, 4, 12
Factor -2*m**4/5 - 44*m**3/5 + 54*m**2.
-2*m**2*(m - 5)*(m + 27)/5
Factor -2*r**2 + 216*r - 630.
-2*(r - 105)*(r - 3)
Factor -12*g**2 - 95*g/2 + 2.
-(g + 4)*(24*g - 1)/2
What is l in -4*l**4/3 + 353*l**3/3 - 2724*l**2 + 16813*l/3 - 3698/3 = 0?
1/4, 2, 43
Let 3*v**5/7 + 144*v**4/7 + 1719*v**3/7 - 438*v**2/7 - 5472*v/7 - 3456/7 = 0. Calculate v.
-24, -1, 2
Factor 4*v**2/9 - 80*v/3 - 244/9.
4*(v - 61)*(v + 1)/9
Factor 15*u**3/2 - 38*u**2 + 75*u/2 + 17.
(u - 2)*(3*u + 1)*(5*u - 17)/2
Factor 4*c**4/5 + 4*c**3 - 84*c**2/5 + 92*c/5 - 32/5.
4*(c - 1)**3*(c + 8)/5
Determine y, given that 2*y**3 + 566*y**2 - 568*y = 0.
-284, 0, 1
Suppose 95*b**4 + 180*b**3 - 305*b**2 + 30*b = 0. Calculate b.
-3, 0, 2/19, 1
Factor 2*q**2/3 - 178*q.
2*q*(q - 267)/3
Factor -4*n**3 + 72*n**2 - 132*n + 64.
-4*(n - 16)*(n - 1)**2
Factor 2*c**4/11 + 10*c**3/11 - 28*c**2/11.
2*c**2*(c - 2)*(c + 7)/11
Factor 2*i**2/7 - 12744*i/7 + 20301192/7.
2*(i - 3186)**2/7
Solve -2*u**4/15 - 8*u**3/5 - 106*u**2/15 - 68*u/5 - 48/5 = 0 for u.
-4, -3, -2
Let -5*d**2 + 10620*d - 5639220 = 0. Calculate d.
1062
Suppose -4*n**4/3 + 32*n**3 + 604*n**2/3 - 232*n = 0. Calculate n.
-6, 0, 1, 29
Factor 3*w**2/4 - 15*w/2 + 18.
3*(w - 6)*(w - 4)/4
What is i in -3*i**3/2 - 123*i**2/2 + 267*i/2 + 387/2 = 0?
-43, -1, 3
Solve i**5/2 + 4*i**4/3 - 4*i**3/3 - 16*i**2/3 - 8*i/3 = 0 for i.
-2, -2/3, 0, 2
Determine v, given that -2*v**3/7 + 16*v**2/7 - 26*v/7 + 12/7 = 0.
1, 6
Suppose x**4/7 - 1776*x**3/7 + 1182816*x**2/7 - 350113536*x/7 + 38862602496/7 = 0. What is x?
444
Factor -n**3/2 + 3*n**2 + 20*n - 96.
-(n - 8)*(n - 4)*(n + 6)/2
What is m in -2*m**5 - 24*m**4 - 92*m**3 - 120*m**2 - 50*m = 0?
-5, -1, 0
Factor x**2/2 + 2997*x/2.
x*(x + 2997)/2
Factor 184*v**2 - 1286*v - 14.
2*(v - 7)*(92*v + 1)
Factor -2*t**2/11 - 14*t + 156/11.
-2*(t - 1)*(t + 78)/11
Solve 3*d**3/5 + 27*d**2/5 - 24*d - 144/5 = 0 for d.
-12, -1, 4
Factor -m**4/3 + 9*m**3 + m**2/3 - 9*m.
-m*(m - 27)*(m - 1)*(m + 1)/3
Factor 4*f**5/3 + 16*f**4/3 - 24*f**3 + 80*f**2/3 - 28*f/3.
4*f*(f - 1)**3*(f + 7)/3
Factor 2*f**4/17 - 56*f**3/17 + 444*f**2/17 - 728*f/17 + 338/17.
2*(f - 13)**2*(f - 1)**2/17
Factor -x**3 - 151*x**2 - 5775*x - 5625.
-(x + 1)*(x + 75)**2
Let 3*k**3/5 + 51*k**2/5 + 48*k/5 = 0. Calculate k.
-16, -1, 0
Factor 15*t**2 - 10362*t - 2073.
3*(t - 691)*(5*t + 1)
Suppose -3*h**2 + 291*h - 288 = 0. What is h?
1, 96
Suppose -3*o**2 - 51*o - 48 = 0. Calculate o.
-16, -1
Factor 3*n**3 + 126*n**2 + 1188*n - 2904.
3*(n - 2)*(n + 22)**2
What is s in 4*s**5 + 568*s**4/3 + 6508*s**3/3 - 5552*s**2/3 - 3584*s + 3072 = 0?
-24, -4/3, 1
Factor 2*o**2 - 782*o + 780.
2*(o - 390)*(o - 1)
Factor -3*f**5 - 135*f**4 - 387*f**3 - 381*f**2 - 126*f.
-3*f*(f + 1)**3*(f + 42)
Find f, given that 2*f**2/5 + 2596*f/5 + 5184/5 = 0.
-1296, -2
Let -m**3/5 - 74*m**2/5 - 1564*m/5 - 6936/5 = 0. Calculate m.
-34, -6
Factor 5*z**3/2 + 23*z**2/2 - 20*z + 6.
(z - 1)*(z + 6)*(5*z - 2)/2
Suppose g**5/6 + 17*g**4/2 + 623*g**3/6 - 727*g**2/6 - 104*g + 338/3 = 0. What is g?
-26, -1, 1
Let 9*h**4 + 40*h**3 - 83*h**2 + 10*h + 24 = 0. Calculate h.
-6, -4/9, 1
Let 2*y**5/7 - 10*y**4/7 + 10*y**3/7 + 10*y**2/7 - 12*y/7 = 0. What is y?
-1, 0, 1, 2, 3
Determine c, given that 5*c**5 - 45*c**4 - 20*c**3 + 180*c**2 = 0.
-2, 0, 2, 9
Factor -459*l**4/2 - 837*l**3/2 - 531*l**2/2 - 143*l/2 - 7.
-(3*l + 1)**3*(17*l + 14)/2
Determine f, given that 3*f**2/4 - 103*f/4 + 17/2 = 0.
1/3, 34
Factor -5*f**5/2 + 96*f**4 - 38*f**3.
-f**3*(f - 38)*(5*f - 2)/2
Determine b, given that b**2 - 642*b = 0.
0, 642
Factor -8*s**3 + 154*s**2 - 180*s.
-2*s*(s - 18)*(4*s - 5)
What is o in -o**5/3 - 32*o**4/3 - 82*o**3 + 32*o**2/3 