7 - 16*n**3/7 + 24*n**2/7 = 0 for n.
-2, 0, 1, 6
Find s such that 4*s**5/3 - 8*s**4 - 32*s**3/3 + 128*s**2 - 512*s/3 = 0.
-4, 0, 2, 4
Factor -n**2/4 + 29*n/4.
-n*(n - 29)/4
Determine i, given that i**2/3 + 54*i + 2187 = 0.
-81
Factor -3*c**4 - 69*c**3 - 18*c**2 + 996*c - 1320.
-3*(c - 2)**2*(c + 5)*(c + 22)
Solve 15*i**3 - 282*i**2 + 216*i = 0.
0, 4/5, 18
Determine r, given that 5*r**2 + 2690*r - 2695 = 0.
-539, 1
Solve -3*l**5/4 + 1131*l**4/4 - 25632*l**3 - 193536*l**2 = 0.
-7, 0, 192
Suppose -2*i**2 - 14*i + 16 = 0. Calculate i.
-8, 1
Determine o, given that -3*o**4/4 + 123*o**3/4 + 69*o**2/2 - 123*o - 126 = 0.
-2, -1, 2, 42
Solve -4225*u**3 + 3965*u**2 + 256*u + 4 = 0.
-2/65, 1
Factor 25*n**4/2 + 795*n**3/2 + 312*n**2 + 62*n.
n*(n + 31)*(5*n + 2)**2/2
Determine o so that -121*o**3/6 - 3707*o**2/6 + 680*o/3 - 62/3 = 0.
-31, 2/11
What is z in 4*z**4 - 60*z**3 - 4992*z**2 - 48128*z = 0?
-16, 0, 47
Factor c**5 - 14*c**4 + 69*c**3 - 124*c**2 - 16*c + 192.
(c - 4)**3*(c - 3)*(c + 1)
Factor -3*n**2 + 34086*n - 96821283.
-3*(n - 5681)**2
Factor t**4/2 - 368*t**3 - 3*t**2/2 + 1103*t + 736.
(t - 736)*(t - 2)*(t + 1)**2/2
Solve t**5/6 - 13*t**4/2 - 41*t**3/6 + 13*t**2/2 + 20*t/3 = 0.
-1, 0, 1, 40
Factor 7*k**2/2 + 135*k/2 + 19.
(k + 19)*(7*k + 2)/2
Suppose -4*f**5 - 119*f**4 - 482*f**3 - 136*f**2 + 966*f - 225 = 0. What is f?
-25, -3, 1/4, 1
Let -2*k**4/11 - 18*k**3/11 - 60*k**2/11 - 8*k - 48/11 = 0. Calculate k.
-3, -2
Factor -4*g**5 + 8*g**4 + 48*g**3 + 56*g**2 + 20*g.
-4*g*(g - 5)*(g + 1)**3
Factor -2*a**3 + 2*a**2 + 4*a.
-2*a*(a - 2)*(a + 1)
Find f, given that -f**3/3 - 26*f**2/3 - 224*f/3 - 640/3 = 0.
-10, -8
What is f in -f**4/3 - 3*f**3 + 60*f**2 - 752*f/3 + 320 = 0?
-20, 3, 4
Factor 12*o**3 + 39*o**2 + 33*o + 6.
3*(o + 1)*(o + 2)*(4*o + 1)
Factor 6*l**2/11 + 642*l/11 + 17100/11.
6*(l + 50)*(l + 57)/11
Determine a so that 2*a**3 + 118*a**2 + 446*a + 330 = 0.
-55, -3, -1
Suppose -5442*b**2/11 - 5440*b/11 + 2/11 = 0. Calculate b.
-1, 1/2721
Factor 2*m**2/7 + 78*m/7 + 148/7.
2*(m + 2)*(m + 37)/7
Factor 7*k**3 - 2*k**2 - 252*k + 72.
(k - 6)*(k + 6)*(7*k - 2)
Let -5*j**3 - 55*j**2 + 125*j - 65 = 0. Calculate j.
-13, 1
Determine h, given that 23*h**3/4 - h**2/4 = 0.
0, 1/23
Factor h**3 - 168*h**2 + 7221*h - 13778.
(h - 83)**2*(h - 2)
Factor -n**4/9 + 4*n**3/3 + 5*n**2 + 4*n/9 - 20/3.
-(n - 15)*(n - 1)*(n + 2)**2/9
Let 2*g**2/3 + 106*g + 628/3 = 0. What is g?
-157, -2
Determine z so that -12*z**5 - 216*z**4 + 1929*z**3 - 4161*z**2 + 2826*z - 600 = 0.
-25, 1/2, 2, 4
Factor -3*g**5 - 285*g**4 - 9210*g**3 - 106950*g**2 - 187395*g - 89373.
-3*(g + 1)**2*(g + 31)**3
What is y in 12*y**5 - 5236*y**4 + 17368*y**3 - 20808*y**2 + 10396*y - 1732 = 0?
1/3, 1, 433
What is c in 65*c**3/3 - 275*c**2/6 + 80*c/3 - 5/2 = 0?
3/26, 1
Factor 12996*i**3/5 + 13452*i**2/5 + 92*i + 4/5.
4*(i + 1)*(57*i + 1)**2/5
Solve 3*q**4/7 + 18*q**3/7 - 597*q**2/7 - 1872*q/7 = 0.
-16, -3, 0, 13
Factor 2*f**5/9 - 4*f**4/9 + 4*f**2/9 - 2*f/9.
2*f*(f - 1)**3*(f + 1)/9
Find m, given that -4*m**4 - 8*m**3 + 28*m**2 + 80*m + 48 = 0.
-2, -1, 3
Find c such that -5*c**4 + 5*c**3 + 210*c**2 + 160*c - 1120 = 0.
-4, 2, 7
Factor 4*g**2 - 31*g - 8.
(g - 8)*(4*g + 1)
Let -28*l**5 + 996*l**4/5 - 1076*l**3/5 - 420*l**2 + 352*l/5 + 48 = 0. Calculate l.
-1, -2/7, 2/5, 3, 5
Determine d so that d**4 + 22*d**3/5 + 3*d**2/5 - 22*d/5 - 8/5 = 0.
-4, -1, -2/5, 1
Factor 2*m**4 + 12*m**3 + 24*m**2 + 16*m.
2*m*(m + 2)**3
Determine q, given that 2*q**3/3 + 586*q**2/3 + 43216*q/3 + 42632/3 = 0.
-146, -1
Factor -2*c**3/7 + 58*c**2/7 + 332*c/7 + 272/7.
-2*(c - 34)*(c + 1)*(c + 4)/7
Find h, given that -2*h**3/11 + 10*h**2/11 - 14*h/11 + 6/11 = 0.
1, 3
Solve -u**3 + 54*u**2 + 421*u + 366 = 0 for u.
-6, -1, 61
What is h in 2*h**3/5 - 28*h**2/5 - 62*h/5 - 32/5 = 0?
-1, 16
Find n, given that -n**3/6 - 451*n**2/6 - 75*n = 0.
-450, -1, 0
Factor 6*k**3 + 40*k**2 - 6*k - 40.
2*(k - 1)*(k + 1)*(3*k + 20)
Find f such that -3*f**5 - 9*f**4 + 219*f**3 - 519*f**2 - 216*f + 528 = 0.
-11, -1, 1, 4
Factor -3*c**3/7 + 4542*c**2/7 - 246240*c + 489888.
-3*(c - 756)**2*(c - 2)/7
Let -4*h**4 + 24*h**3 + 28*h**2 = 0. Calculate h.
-1, 0, 7
Factor 2*p**2/7 - 128*p/7 - 142.
2*(p - 71)*(p + 7)/7
Factor q**5/8 - 77*q**4/8 + 1013*q**3/4 - 9725*q**2/4 + 33125*q/8 - 15625/8.
(q - 25)**3*(q - 1)**2/8
Factor -2*v**3/5 + 16*v**2/5 + 38*v/5 + 4.
-2*(v - 10)*(v + 1)**2/5
Find v such that 2*v**4/3 + 2*v**3/3 - 2*v**2/3 - 2*v/3 = 0.
-1, 0, 1
What is n in -2*n**4/7 - 18*n**3/7 + 24*n**2/7 + 40*n/7 = 0?
-10, -1, 0, 2
Factor -3*v**3 + 12*v**2 + 3*v - 12.
-3*(v - 4)*(v - 1)*(v + 1)
Factor -31*i**2/2 + 5*i.
-i*(31*i - 10)/2
Factor -69*y**2/2 - 210*y - 18.
-3*(y + 6)*(23*y + 2)/2
Solve 4*p**3 + 492*p**2 + 20172*p + 275684 = 0 for p.
-41
Determine r so that -3*r**3/5 + 34*r**2/5 - 41*r/5 + 2 = 0.
1/3, 1, 10
Let -4*y**2 + 432*y - 428 = 0. Calculate y.
1, 107
Factor -2*l**2 - 50*l/3 + 12.
-2*(l + 9)*(3*l - 2)/3
Find l, given that 4*l**4 - 920*l**3 + 57936*l**2 - 558952*l - 617812 = 0.
-1, 13, 109
Factor 7*n**2/4 - 187*n/4 - 27/2.
(n - 27)*(7*n + 2)/4
Let -f**4/9 + 47*f**3/9 + 49*f**2/9 - 47*f/9 - 16/3 = 0. Calculate f.
-1, 1, 48
Factor 222*x**2/7 + 380*x - 48/7.
2*(x + 12)*(111*x - 2)/7
Factor -t**2 + 417*t - 416.
-(t - 416)*(t - 1)
Solve -5*x**5 + 135*x**4 + 295*x**3 - 135*x**2 - 290*x = 0.
-2, -1, 0, 1, 29
Factor 4*l**3 + 656*l**2 + 15028*l + 93288.
4*(l + 13)**2*(l + 138)
Factor 3*v**3/7 - 51*v**2/7 + 288*v/7 - 540/7.
3*(v - 6)**2*(v - 5)/7
Find w such that 15*w**4 - 51*w**3 + 3*w**2 + 51*w - 18 = 0.
-1, 2/5, 1, 3
Factor -4*x**3 + 816*x**2 + 10224*x + 31104.
-4*(x - 216)*(x + 6)**2
Suppose 5*g**2 + 65*g + 60 = 0. Calculate g.
-12, -1
Let -5*s**4 - 45*s**3 - 75*s**2 - 35*s = 0. What is s?
-7, -1, 0
Solve 3*i**4 + 9*i**3 - 258*i**2 - 1224*i - 960 = 0.
-8, -4, -1, 10
Solve 5*f**4 + 55*f**3 + 205*f**2 + 305*f + 150 = 0 for f.
-5, -3, -2, -1
Factor -2*h**5/3 - 30*h**4 - 58*h**3 + 21866*h**2/3.
-2*h**2*(h - 13)*(h + 29)**2/3
Solve -t**3/5 + t**2/5 = 0.
0, 1
Factor 4*y**2/9 - 386*y/3 - 580/9.
2*(y - 290)*(2*y + 1)/9
Determine h, given that h**3 - 3548*h**2 - h + 3548 = 0.
-1, 1, 3548
Determine t so that -4*t**2 + 32*t - 28 = 0.
1, 7
Determine y, given that -2*y**5/9 - 4*y**4/3 + 50*y**3/9 - 4*y**2 = 0.
-9, 0, 1, 2
Let 20*s**3 + 560*s**2 + 545*s + 135 = 0. What is s?
-27, -1/2
Let 3*g**4/5 + 57*g**3/5 + 159*g**2/5 - 69*g - 90 = 0. Calculate g.
-15, -5, -1, 2
Solve 3*x**3 - 3*x**2 - 111*x - 105 = 0.
-5, -1, 7
Let -4*j**2 - 892*j = 0. What is j?
-223, 0
Suppose -20*t**5 - 68*t**4 + 36*t**3 + 244*t**2 + 208*t + 48 = 0. What is t?
-3, -1, -2/5, 2
Factor 2*y**2 + 80*y - 168.
2*(y - 2)*(y + 42)
Factor u**2/5 + 442*u + 244205.
(u + 1105)**2/5
Factor 5*v**5 - 240*v**4 + 2310*v**3 - 5540*v**2 + 5085*v - 1620.
5*(v - 36)*(v - 9)*(v - 1)**3
Find t such that -t**4/4 + t**3/4 + t**2/4 - t/4 = 0.
-1, 0, 1
Let 3*j**2 + 288*j + 6912 = 0. Calculate j.
-48
Solve -h**5/5 - 19*h**4 - 2301*h**3/5 - 2021*h**2/5 + 4418*h/5 = 0 for h.
-47, -2, 0, 1
Determine m so that 14*m**2 - 76*m/3 - 16/3 = 0.
-4/21, 2
Factor -2*o**2/9 + 260*o/9 - 1250/9.
-2*(o - 125)*(o - 5)/9
Find w, given that -2*w**4/3 - 182*w**3/3 - 3854*w**2/3 + 4418*w = 0.
-47, 0, 3
Factor -4*p**2 - 1512*p + 3040.
-4*(p - 2)*(p + 380)
Suppose p**2/4 + 1689*p + 2852721 = 0. Calculate p.
-3378
Factor 3*m**4/4 - 723*m**3/2 + 174243*m**2/4.
3*m**2*(m - 241)**2/4
Factor n**2 - 349*n + 694.
(n - 347)*(n - 2)
Suppose -j**2/3 - 5*j - 14/3 = 0. What is j?
-14, -1
Suppose 2*f**5/7 + 16*f**4/7 - 48*f**3/7 - 292*f**2/7 + 130*f - 84 = 0. What is f?
-7, 1, 2, 3
Find w, given that -2*w**5/13 + 20*w**4/13 - 12*w**3/13 - 56*w**2/13 + 14*w/13 + 36/13 = 0.
-1, 1, 2, 9
Let -5*u**2 + 30*u + 35 = 0. Calculate u.
-1, 7
Let b**3/7 + 33*b**2/7 + 363*b/7 + 1331/7 = 0. What is b?
-11
What is a in 2*a**5/3 - 125*a**4/6 + 238*a**3/3 - 451*a**2/6 - 38*a + 54 = 0?
-3/4, 1, 2, 27
Determine n so that n**5/11 + 6*n**4/11 + n**3 + 6*n**2/11 = 0.
-3, -2, -1, 0
Suppose y**2/2 - 10*y - 21/2 = 0. Calculate y.
-1, 21
Factor 5*w**3/4 + 5*w**2/4 - 15*w.
5*w*(w - 3)*(w + 4)/4
Solve -18*x**2 + 122*x + 28 = 0 for x.
-2/9, 7
Suppose -3*p**3 - 51*p**2 = 0. What is p?
-17, 0
Let p**2 + 54*p + 729 = 0. Calculate p.
-27
Factor -3*o**2/4 + 135*o/2 - 6075/4.
-3*(o - 45)**2/4
Deter