or -j**2/3 - 8*j - 23/3.
-(j + 1)*(j + 23)/3
Factor -4*j**2 + 32*j.
-4*j*(j - 8)
Determine i, given that -i**4/5 + 2*i**3/5 + 3*i**2/5 = 0.
-1, 0, 3
Let m**2/5 + 31*m/5 - 32/5 = 0. What is m?
-32, 1
Suppose -r**4/4 + 7*r**3 + 59*r**2/4 + 15*r/2 = 0. Calculate r.
-1, 0, 30
Factor 2*n**4 - 86*n**3 + 82*n**2 + 86*n - 84.
2*(n - 42)*(n - 1)**2*(n + 1)
Factor -j**2 - 929*j + 1862.
-(j - 2)*(j + 931)
Determine x so that -5*x**3 + 2145*x**2 - 2130*x - 4280 = 0.
-1, 2, 428
Solve 2*o**4 + 52*o**3 + 176*o**2 = 0.
-22, -4, 0
Factor 4*h**3/3 - 1472*h**2 - 2948*h - 4424/3.
4*(h - 1106)*(h + 1)**2/3
Factor -5*m**3 - 325*m**2 - 5115*m + 5445.
-5*(m - 1)*(m + 33)**2
Suppose -4*u**4 + 39*u**3 + 6*u**2 - 481*u - 120 = 0. Calculate u.
-3, -1/4, 5, 8
Factor 2*p**2/5 - 44*p/5 + 242/5.
2*(p - 11)**2/5
Determine y so that 4*y**5 + 28*y**4 - 108*y**3 + 116*y**2 - 40*y = 0.
-10, 0, 1
Find n, given that -2*n**5/17 + 4*n**4/17 - 2*n**3/17 = 0.
0, 1
Factor 4*k**3/9 + 140*k**2/9 + 1568*k/9 + 5488/9.
4*(k + 7)*(k + 14)**2/9
Suppose 3*b**5 - 36*b**4/7 - 96*b**3/7 + 18*b**2/7 + 75*b/7 + 18/7 = 0. What is b?
-1, -2/7, 1, 3
Find a such that 4*a**4 + 164*a**3 + 612*a**2 + 748*a + 296 = 0.
-37, -2, -1
Find l such that 24*l**3 + 9*l**2 - 24*l - 9 = 0.
-1, -3/8, 1
Suppose -3*t**5/7 - 3*t**4/7 + 129*t**3/7 + 3*t**2/7 - 18*t = 0. What is t?
-7, -1, 0, 1, 6
Solve m**2/4 - 13*m/4 + 21/2 = 0.
6, 7
Let -j**2/2 - 51*j/2 - 25 = 0. What is j?
-50, -1
Solve -43*j**2 - 68*j + 36 = 0 for j.
-2, 18/43
Determine j so that 3*j**2 - 8349*j - 8352 = 0.
-1, 2784
Suppose c**2 + 32*c - 33 = 0. What is c?
-33, 1
Factor -h**2/5 + 9234*h/5 - 21316689/5.
-(h - 4617)**2/5
Factor f**3/2 + 13*f**2/2.
f**2*(f + 13)/2
Let -4*g**4/5 + 8*g**3 - 93*g**2/5 + 13*g - 14/5 = 0. Calculate g.
1/2, 2, 7
Factor -g**2/2 + 59*g/2 - 57.
-(g - 57)*(g - 2)/2
Suppose -3*q**2 - 156*q + 855 = 0. What is q?
-57, 5
Factor 2*n**2 + 6*n - 20.
2*(n - 2)*(n + 5)
Let -28*j**3 - 388*j**2 + 972*j + 1332 = 0. Calculate j.
-111/7, -1, 3
Suppose 4*l**4/5 + 64*l**3/5 - 8*l**2 - 320*l - 300 = 0. What is l?
-15, -5, -1, 5
Factor x**3/2 - 69*x**2/2 + 313*x + 348.
(x - 58)*(x - 12)*(x + 1)/2
Determine q, given that -5*q**4 - 22*q**3 - 3*q**2 + 22*q + 8 = 0.
-4, -1, -2/5, 1
Factor 39*t**3 + 300*t**2 + 579*t + 270.
3*(t + 2)*(t + 5)*(13*t + 9)
Find h, given that -4*h**4 - 468*h**3 - 13444*h**2 + 14868*h + 27848 = 0.
-59, -1, 2
Factor -b**3/2 - 258*b**2 - 44376*b - 2544224.
-(b + 172)**3/2
Let -405*y**2 - 224460*y - 31100180 = 0. What is y?
-2494/9
What is u in -u**2 + 5032*u - 6330256 = 0?
2516
Factor w**2/3 - 3*w - 52/3.
(w - 13)*(w + 4)/3
Factor 4*p**4 - 44*p**3 + 108*p**2 - 100*p + 32.
4*(p - 8)*(p - 1)**3
Factor -5*v**4 + 400*v**3 - 9750*v**2 + 70000*v - 153125.
-5*(v - 35)**2*(v - 5)**2
Factor 5*z**4 - 25*z**3 - 345*z**2 - 855*z - 540.
5*(z - 12)*(z + 1)*(z + 3)**2
Let -5*l**2 + 10645*l + 21310 = 0. Calculate l.
-2, 2131
Find p such that 5*p**2 + 365*p + 4760 = 0.
-56, -17
Suppose 14*t**5/11 + 570*t**4/11 + 6976*t**3/11 + 23664*t**2/11 + 19872*t/11 - 7776/11 = 0. What is t?
-18, -3, -2, 2/7
Determine m, given that m**2 + 77*m + 150 = 0.
-75, -2
Let 12*t**4/5 - 168*t**3/5 + 639*t**2/5 - 519*t/5 + 24 = 0. What is t?
1/2, 5, 8
Factor -2*s**3/7 + 58*s**2/7 + 2*s/7 - 58/7.
-2*(s - 29)*(s - 1)*(s + 1)/7
Let -2*g**3 + 480*g**2 - 38400*g + 1024000 = 0. Calculate g.
80
Let -6*a**2/11 - 402*a/11 - 552 = 0. Calculate a.
-44, -23
Factor -3*u**2 - 894*u - 66603.
-3*(u + 149)**2
Factor -21*y**5 + 72*y**4 - 36*y**3 - 48*y**2.
-3*y**2*(y - 2)**2*(7*y + 4)
Factor n**5/3 - 17*n**3 - 98*n**2/3 - 16*n.
n*(n - 8)*(n + 1)**2*(n + 6)/3
Factor m**2/2 + 397*m + 157609/2.
(m + 397)**2/2
Determine f, given that -f**4/2 - 11*f**3/2 - 13*f**2 - 8*f = 0.
-8, -2, -1, 0
Factor 4*w**3 - 1332*w**2 + 116640*w - 944784.
4*(w - 162)**2*(w - 9)
Solve -2*d**4/5 - 18*d**3/5 - 36*d**2/5 + 8*d/5 + 48/5 = 0 for d.
-6, -2, 1
What is y in 5*y**2 - 270*y - 1475 = 0?
-5, 59
Determine z so that z**2/5 - 163*z/5 - 164/5 = 0.
-1, 164
Let -z**4/4 - 16*z**3 - 286*z**2 - 960*z - 900 = 0. Calculate z.
-30, -2
Factor -q**5 - 17*q**4 - 30*q**3 + 2*q**2 + 31*q + 15.
-(q - 1)*(q + 1)**3*(q + 15)
Solve q**2/3 + 28*q/3 + 196/3 = 0.
-14
Determine q, given that -q**5/4 + 2*q**4 - 25*q**3/4 + 19*q**2/2 - 7*q + 2 = 0.
1, 2
Factor 5*n**4 + 65*n**3 - 80*n**2 - 140*n.
5*n*(n - 2)*(n + 1)*(n + 14)
Factor 4*c**2 + 312*c + 6084.
4*(c + 39)**2
Factor -q**4/5 + 64*q**3/5 + 158*q**2 + 520*q + 375.
-(q - 75)*(q + 1)*(q + 5)**2/5
Determine v so that -5*v**5/7 + 8*v**4/7 + 17*v**3 + 106*v**2/7 - 156*v/7 - 72/7 = 0.
-3, -2, -2/5, 1, 6
Factor 4*w**4 + 48*w**3 - 72*w**2 - 272*w - 156.
4*(w - 3)*(w + 1)**2*(w + 13)
Find y, given that -49*y**5/2 - 119*y**4/2 + 129*y**3/2 + 107*y**2/2 - 40*y + 6 = 0.
-3, -1, 2/7, 1
Solve 45*v**2/2 - 33*v - 27/2 = 0 for v.
-1/3, 9/5
Suppose 38*t**4 + 308*t**3 + 602*t**2 + 60*t = 0. Calculate t.
-5, -3, -2/19, 0
Factor 3*w**2/8 - 465*w/8 + 231/4.
3*(w - 154)*(w - 1)/8
Suppose z**5/8 + 19*z**4/4 - 21*z**3/2 - 79*z**2/4 + 83*z/8 + 15 = 0. Calculate z.
-40, -1, 1, 3
Let -v**4/2 + v**3/2 + 36*v**2 = 0. Calculate v.
-8, 0, 9
Factor 2*k**4/3 + 38*k**3/3 - 176*k**2/3 + 184*k/3.
2*k*(k - 2)**2*(k + 23)/3
Factor -2*z**3 + 6*z**2 + 20*z.
-2*z*(z - 5)*(z + 2)
Solve -8*k**3/7 + 234*k**2/7 + 428*k/7 + 186/7 = 0.
-1, -3/4, 31
Determine q, given that -45*q**4 + 141*q**3 + 1062*q**2 + 1116*q - 168 = 0.
-2, 2/15, 7
Determine q, given that -q**3/4 - 17*q**2/4 - 15*q/2 = 0.
-15, -2, 0
Factor 25*g**4/3 - 55*g**3/3 - 56*g**2/3 - 4*g.
g*(g - 3)*(5*g + 2)**2/3
Find a, given that -2*a**2 + 1693*a/2 + 636 = 0.
-3/4, 424
Factor -4*w**2 + 12*w + 16.
-4*(w - 4)*(w + 1)
Factor -5*v**3 + 10*v**2 + 15*v.
-5*v*(v - 3)*(v + 1)
Factor 10*p**5/3 + 28*p**4/3 + 16*p**3/3.
2*p**3*(p + 2)*(5*p + 4)/3
Factor -y**2/3 + 98*y/3 - 97/3.
-(y - 97)*(y - 1)/3
What is t in t**2/5 - 18*t/5 - 144/5 = 0?
-6, 24
Factor -k**3/6 + 25*k**2/2 - 141*k/2 + 207/2.
-(k - 69)*(k - 3)**2/6
Find m, given that -2*m**2/17 - 166*m/17 + 1656/17 = 0.
-92, 9
Determine x so that 55*x**5 + 210*x**4 + 235*x**3 + 60*x**2 - 20*x = 0.
-2, -1, 0, 2/11
Factor 121*s**3/9 - 154*s**2/3 - 160*s - 96.
(s - 6)*(11*s + 12)**2/9
Let -5*h**2 - 670*h - 6765 = 0. Calculate h.
-123, -11
Factor -8*w**3 - 1052*w**2 - 34320*w + 17424.
-4*(w + 66)**2*(2*w - 1)
Factor -4*o**3/3 - 4*o**2/3.
-4*o**2*(o + 1)/3
Let l**4/4 + 5*l**3/4 - 77*l**2/4 + 99*l/4 + 45 = 0. What is l?
-12, -1, 3, 5
Factor 2*w**4/7 - 2*w**3/7.
2*w**3*(w - 1)/7
Factor 4*y**5/7 + 16*y**4/7 + 12*y**3/7.
4*y**3*(y + 1)*(y + 3)/7
Find q, given that 2*q**5/9 + 74*q**4/9 + 718*q**3/9 + 574*q**2/9 - 80*q - 72 = 0.
-18, -1, 1
What is u in 2*u**4/17 + 28*u**3/17 - 216*u**2/17 + 464*u/17 - 320/17 = 0?
-20, 2
Find i, given that -3*i**4/4 - 14889*i**3/4 - 24621435*i**2/4 - 13549956675*i/4 + 13599259125/2 = 0.
-1655, 2
Determine q so that -2*q**5 + 34*q**4 - 168*q**3 + 296*q**2 - 160*q = 0.
0, 1, 2, 4, 10
Factor x**2 - 4*x - 5.
(x - 5)*(x + 1)
Factor -w**4/4 + 5*w**3/2 - 21*w**2/4 - 9*w + 27.
-(w - 6)*(w - 3)**2*(w + 2)/4
Find t such that t**4 + 4*t**3 - 27*t**2 + 38*t - 16 = 0.
-8, 1, 2
Suppose -t**4 + 19*t**3 + 45*t**2 - 63*t = 0. What is t?
-3, 0, 1, 21
Solve -2*s**3 - 62*s**2 + 132*s = 0 for s.
-33, 0, 2
Solve 2*j**3 + 44*j**2/7 + 34*j/7 + 4/7 = 0.
-2, -1, -1/7
Suppose 3*q**2 - 912*q + 69312 = 0. What is q?
152
Find x, given that -x**5/2 + 3*x**4/2 + 3*x**3/2 - 7*x**2/2 - 3*x = 0.
-1, 0, 2, 3
Factor -5*p**2/3 + 35*p + 230/3.
-5*(p - 23)*(p + 2)/3
Suppose -2*k**5 + 36*k**4 + 40*k**3 - 36*k**2 - 38*k = 0. What is k?
-1, 0, 1, 19
Factor j**4/4 + 23*j**3/4 - 35*j**2.
j**2*(j - 5)*(j + 28)/4
Factor 4*c**4 + 232*c**3 + 224*c**2 - 232*c - 228.
4*(c - 1)*(c + 1)**2*(c + 57)
Suppose -6*q**3 + 80*q**2 - 184*q - 160 = 0. Calculate q.
-2/3, 4, 10
Let -5*x**3 + 10*x**2 + 45*x - 90 = 0. Calculate x.
-3, 2, 3
Solve 3*h**4 + 822*h**3 + 53787*h**2 - 345240*h + 529200 = 0 for h.
-140, 3
Find w such that -5*w**2 + 100*w - 255 = 0.
3, 17
Factor 3*v**3/7 + 2052*v**2/7 + 467856*v/7 + 35557056/7.
3*(v + 228)**3/7
Factor c**3 - 321*c**2 + 639*c - 319.
(c - 319)*(c - 1)**2
Factor -2*d**4 - 16*d**3 - 12*d**2 + 16*d + 14.
-2*(d - 1)*(d + 1)**2*(d + 7)
Find j, given that 2*j**4 - 56*j**3 + 576*j**2 - 2560*j + 4096 = 0.
4, 8
Determine u so that -5*