- 34*a**2 - 64*a + 40 = 0. What is a?
-2, 1/2, 10
What is w in 6*w**5/5 + 10*w**4 + 54*w**3/5 - 18*w**2/5 - 28*w/5 = 0?
-7, -1, 0, 2/3
Factor -3*g**2 - 6*g.
-3*g*(g + 2)
Factor -10*h**4 - 16*h**3 - 2*h**2 + 4*h.
-2*h*(h + 1)**2*(5*h - 2)
Factor 3*p**4 + 18*p**3 - 324*p**2 - 690*p - 351.
3*(p - 9)*(p + 1)**2*(p + 13)
Let -z**2/5 + 46*z/5 + 96/5 = 0. What is z?
-2, 48
Determine l, given that -l**2/4 + l/2 + 15/4 = 0.
-3, 5
Factor i**4/5 + 558*i**3/5 + 78397*i**2/5 + 155124*i/5 + 77284/5.
(i + 1)**2*(i + 278)**2/5
Suppose -2*s**2 - 24*s - 54 = 0. Calculate s.
-9, -3
Factor -5*a**2 + 280*a - 795.
-5*(a - 53)*(a - 3)
Factor -2*n**4 - 10*n**3/7 + 4*n**2/7.
-2*n**2*(n + 1)*(7*n - 2)/7
Let 110*h**4/3 + 164*h**3/3 - 250*h**2/3 - 8*h = 0. Calculate h.
-12/5, -1/11, 0, 1
Solve 2*r**4/23 + 16*r**3/23 - 20*r**2/23 - 16*r/23 + 18/23 = 0.
-9, -1, 1
Factor 4*x**4/3 + 20*x**3 + 268*x**2/3 + 124*x + 160/3.
4*(x + 1)**2*(x + 5)*(x + 8)/3
Determine x so that -4*x**2 + 157*x - 39 = 0.
1/4, 39
Factor l**2 - 254*l/7 + 45.
(l - 35)*(7*l - 9)/7
Suppose -6*d**3/5 + 11*d**2/5 + 2*d/5 = 0. Calculate d.
-1/6, 0, 2
Find n such that -18*n**3/5 + 84*n**2 - 704*n/5 - 23232/5 = 0.
-6, 44/3
Determine d so that 7*d**3 - 15*d**2 - 4*d + 12 = 0.
-6/7, 1, 2
Factor 6*k**3 + 28*k**2 + 26*k - 12.
2*(k + 2)*(k + 3)*(3*k - 1)
Determine a, given that -4*a**3 - 25912*a**2 - 41964484*a = 0.
-3239, 0
Let -3*w**4 - 36*w**3 - 108*w**2 - 96*w = 0. What is w?
-8, -2, 0
Determine j, given that -55*j**2 - 1335*j - 360 = 0.
-24, -3/11
Factor 4*q**2/5 + 3356*q/5.
4*q*(q + 839)/5
Determine n so that 3*n**3 + 126*n**2 + 1323*n = 0.
-21, 0
Solve s**3/8 + 23*s**2/8 + 31*s/4 + 5 = 0 for s.
-20, -2, -1
Let 4*a**5 - 264*a**4 - 304*a**3 + 2456*a**2 - 2964*a + 1072 = 0. Calculate a.
-4, 1, 67
Factor -5*d**3/3 + 40*d**2/3.
-5*d**2*(d - 8)/3
Let 5*u**5 - 425*u**4 + 830*u**3 + 689220*u**2 - 14129640*u - 14817600 = 0. Calculate u.
-40, -1, 42
Factor 4*p**4/9 - 4*p**3/9 - 32*p**2/9 + 16*p/3.
4*p*(p - 2)**2*(p + 3)/9
Solve -2*g**5/7 - 172*g**4/7 - 5760*g**3/7 - 92800*g**2/7 - 704000*g/7 - 1920000/7 = 0.
-20, -6
Suppose 2*a**4 + 64*a**3 + 180*a**2 + 176*a + 58 = 0. Calculate a.
-29, -1
Suppose -2*r**4 + 4*r**3 + 600*r**2 + 3996*r + 3402 = 0. What is r?
-9, -1, 21
Determine w so that 6*w**5/7 - 50*w**4/7 + 58*w**3/7 - 2*w**2 = 0.
0, 1/3, 1, 7
Find h such that -4*h**2 + 108*h - 504 = 0.
6, 21
Let -10*j**4/3 + 44*j**3/3 + 94*j**2/3 - 344*j/3 + 40 = 0. What is j?
-3, 2/5, 2, 5
Determine o so that -6*o**3 + 100*o**2 + 34*o = 0.
-1/3, 0, 17
Factor -3*i**3/8 - 939*i**2.
-3*i**2*(i + 2504)/8
Solve t**2/6 - 7*t/6 + 1 = 0 for t.
1, 6
Let -2*m**2/13 - 32*m/13 - 30/13 = 0. Calculate m.
-15, -1
Factor -v**3 - 14*v**2 - 61*v - 84.
-(v + 3)*(v + 4)*(v + 7)
Solve -q**5/4 + q**4/4 = 0 for q.
0, 1
Find s, given that -2*s**3/7 - 52*s**2/7 - 96*s/7 = 0.
-24, -2, 0
Factor -18*d**3/7 - 57696*d**2/7 - 76904*d/7 - 25632/7.
-2*(d + 3204)*(3*d + 2)**2/7
Suppose -x**4/2 - x**3/2 + 7*x**2/2 + 13*x/2 + 3 = 0. Calculate x.
-2, -1, 3
Factor 2*s**2/5 - 10.
2*(s - 5)*(s + 5)/5
Factor 3*z**3/5 + 588*z**2/5 - 591*z/5.
3*z*(z - 1)*(z + 197)/5
Factor 4*b**4 - 884*b**3 + 47496*b**2 + 148736*b + 100352.
4*(b - 112)**2*(b + 1)*(b + 2)
Factor -2*z**5/11 - 10*z**4/11 - 14*z**3/11 - 6*z**2/11.
-2*z**2*(z + 1)**2*(z + 3)/11
Solve 3*f**2 + 156*f + 576 = 0 for f.
-48, -4
Solve 10*w**2/9 - 814*w - 2932/9 = 0.
-2/5, 733
Let -3*z**2 - 180*z - 2700 = 0. What is z?
-30
Factor -7*n**4 + 30*n**3 - 8*n**2.
-n**2*(n - 4)*(7*n - 2)
Determine p so that p**4 + 92*p**3/3 + 20*p**2 = 0.
-30, -2/3, 0
Determine v, given that -2*v**4/5 - 18*v**3 - 678*v**2/5 + 154*v = 0.
-35, -11, 0, 1
Factor -m**2/5 - 48*m/5 - 576/5.
-(m + 24)**2/5
Factor 4*s**4 - 8*s**3 - 12*s**2 + 32*s - 16.
4*(s - 2)*(s - 1)**2*(s + 2)
Factor -10*q**4/9 + 146*q**3/9 + 224*q**2/9.
-2*q**2*(q - 16)*(5*q + 7)/9
Solve -v**3/5 + 8*v**2/5 + 12*v/5 - 144/5 = 0 for v.
-4, 6
Factor -5*q**2/3 - 755*q - 2260/3.
-5*(q + 1)*(q + 452)/3
Suppose 18*o**2 + 62*o/3 + 8/3 = 0. What is o?
-1, -4/27
Find r such that 40*r**5 - 135*r**4 - 540*r**3 - 515*r**2 - 150*r = 0.
-1, -5/8, 0, 6
Determine n, given that -3*n**3/2 + 5901*n**2/8 + 369*n/2 = 0.
-1/4, 0, 492
Solve -o**3/6 + 10*o**2/3 - 133*o/6 + 49 = 0.
6, 7
Factor 5*l**3 + 1300*l**2.
5*l**2*(l + 260)
Factor -3*x**3/5 + 105*x**2 + 3*x/5 - 105.
-3*(x - 175)*(x - 1)*(x + 1)/5
Determine k, given that 2*k**2/21 + 72*k/7 = 0.
-108, 0
Factor -2*r**5 + 10*r**4 - 6*r**3 - 18*r**2.
-2*r**2*(r - 3)**2*(r + 1)
Factor -2*j**4/7 - 10*j**3/7 - 12*j**2/7 + 8*j/7 + 16/7.
-2*(j - 1)*(j + 2)**3/7
Let -2*h**2/9 - 102*h = 0. What is h?
-459, 0
Determine z so that 3*z**4/4 - 687*z**3/2 = 0.
0, 458
What is f in 5*f**2 - 20*f - 60 = 0?
-2, 6
Let -2*o**2 + 5*o + 18 = 0. What is o?
-2, 9/2
Factor 2*v**2/15 - 28*v/15 + 22/5.
2*(v - 11)*(v - 3)/15
Factor -5*g**4 + 180*g**3 - 1600*g**2 - 720*g + 6480.
-5*(g - 18)**2*(g - 2)*(g + 2)
Factor -2*y**5 + 576*y**3 - 41472*y.
-2*y*(y - 12)**2*(y + 12)**2
Factor 2*c**3/3 - 76*c**2 + 2088*c + 13456/3.
2*(c - 58)**2*(c + 2)/3
Factor 4*r**3 + 4*r**2 - 64*r - 64.
4*(r - 4)*(r + 1)*(r + 4)
Suppose -3*x**4 + 18*x**3 + 45*x**2 + 24*x = 0. What is x?
-1, 0, 8
Factor -5*u**2 + 2185*u.
-5*u*(u - 437)
Factor 2*l**2/5 + 24*l/5 - 26/5.
2*(l - 1)*(l + 13)/5
Factor -d**3/3 + 15*d**2 - 176*d + 484/3.
-(d - 22)**2*(d - 1)/3
Let -5*g**2/3 - 95*g/3 + 100/3 = 0. What is g?
-20, 1
Solve 182*g**3 - 3538*g**2 + 1528*g - 152 = 0 for g.
2/13, 2/7, 19
Factor -g**2 - 830*g - 172225.
-(g + 415)**2
Find y, given that 4*y**5/9 - 6*y**4 + 158*y**3/9 - 190*y**2/9 + 34*y/3 - 20/9 = 0.
1/2, 1, 10
Suppose 3*x**5/4 + 33*x**4/4 + 27*x**3/4 - 309*x**2/4 + 195*x/2 - 36 = 0. Calculate x.
-8, -6, 1
Factor 3*f**2 - 42*f + 72.
3*(f - 12)*(f - 2)
Let -3*t**2/5 + 243*t/5 + 498/5 = 0. What is t?
-2, 83
Solve -2*l**3 + 20*l**2 - 58*l + 40 = 0 for l.
1, 4, 5
Let 2*w**5/11 + 20*w**4/11 + 34*w**3/11 + 16*w**2/11 = 0. Calculate w.
-8, -1, 0
Find f such that 3*f**5 + 39*f**4 + 87*f**3 - 399*f**2 - 882*f = 0.
-7, -2, 0, 3
What is f in -2*f**2 + 76*f - 330 = 0?
5, 33
Let -2*r**2/5 - 1162*r/5 + 1164/5 = 0. Calculate r.
-582, 1
Factor 5*d**3/4 - 1965*d**2/4 + 257415*d/4 - 11240455/4.
5*(d - 131)**3/4
Factor v**2/2 - 67*v/2 - 34.
(v - 68)*(v + 1)/2
Factor 11*k**2 - 13*k + 2.
(k - 1)*(11*k - 2)
Determine a, given that 3*a**5/2 - 27*a**4 + 126*a**3 - 231*a**2 + 369*a/2 - 54 = 0.
1, 3, 12
Let m**2 + 68*m + 1156 = 0. What is m?
-34
Suppose -2*s**2/9 + 44*s/9 = 0. Calculate s.
0, 22
Suppose -4*g**2/9 - 200*g/9 - 2500/9 = 0. What is g?
-25
Determine r so that -3*r**4 + 99*r**3 + 21*r**2 - 675*r - 594 = 0.
-2, -1, 3, 33
Find f, given that -f**4/2 - f**3 + 3*f**2/2 + 4*f + 2 = 0.
-2, -1, 2
Find d, given that -3*d**3 - 126*d**2 - 1323*d = 0.
-21, 0
Factor 25*n**4 - 102*n**3 - 117*n**2 + 10*n.
n*(n - 5)*(n + 1)*(25*n - 2)
Factor 5*j**3 + 30*j**2 - 35*j.
5*j*(j - 1)*(j + 7)
Let 2*f**2/5 - 16*f/5 + 14/5 = 0. Calculate f.
1, 7
Factor -2*h**2/3 - 94*h - 280/3.
-2*(h + 1)*(h + 140)/3
Determine n, given that n**5/3 + 2*n**4/3 - n**3/3 - 2*n**2/3 = 0.
-2, -1, 0, 1
Factor 3*r**3 - 339*r**2 - 3*r + 339.
3*(r - 113)*(r - 1)*(r + 1)
Let 57*u**2/5 - 189*u/5 + 54/5 = 0. Calculate u.
6/19, 3
Let n**3/6 + 15*n**2/2 - 32*n + 98/3 = 0. What is n?
-49, 2
Let -5*n**2 - 25*n + 330 = 0. What is n?
-11, 6
Solve 2*u**4/15 + 4*u**3/3 + 22*u**2/15 - 92*u/15 - 32/5 = 0.
-8, -3, -1, 2
Find a, given that 2*a**3/17 - 766*a**2/17 - 1538*a/17 - 770/17 = 0.
-1, 385
Solve -20*i**5 + 872*i**4 + 3112*i**3 + 3904*i**2 + 2060*i + 376 = 0.
-1, -2/5, 47
Factor -4*m**2 - 704*m - 30976.
-4*(m + 88)**2
Suppose 2645*h**5 - 4830*h**4 - 8835*h**3 - 1420*h**2 - 60*h = 0. What is h?
-1, -2/23, 0, 3
Determine h so that 9*h**5 + 192*h**4 + 48*h**3 - 318*h**2 - 57*h + 126 = 0.
-21, -1, 2/3, 1
Factor 6*k**2 - 7852*k + 5232.
2*(k - 1308)*(3*k - 2)
Factor f**4/2 - 11*f**3 - 132*f**2 - 245*f + 775/2.
(f - 31)*(f - 1)*(f + 5)**2/2
Let 2*c**2/7 + 36*c/7 = 0. What is c?
-18, 0
Factor 3*x**3 - 6*x**2 - 12*x + 24.
3*(x - 2)**2*(x + 2)
Factor -3*m**3/7 - 96*m**2/7 - 180*m/7.
-3*m*(m + 2)*(m + 30)/7
Determine w so that 2*w**3/13 + 18*w**2/13 + 54*w/13 + 54/13 = 0.
-3
Let -m**5/10 + 13*m**4/10 - 3*m**3 = 0. What is m?
0, 3, 10
Let c**5/4 + 2*c**4 + 9*c**3/4 - 11*c**2/2 - 5*c + 6 = 0.