 - 60)*(i + 1)
Find o, given that 5*o**3 + 355*o**2 + 1990*o + 2600 = 0.
-65, -4, -2
Factor m**5/5 - 2*m**4/5 - 8*m**3/5 + 16*m**2/5 + 16*m/5 - 32/5.
(m - 2)**3*(m + 2)**2/5
Determine v so that -5*v**2 - 80*v - 320 = 0.
-8
Factor -3*i**4/2 - 195*i**3/2 - 372*i**2 - 366*i.
-3*i*(i + 2)**2*(i + 61)/2
Factor -w**5/3 + 1033*w**4/3 - 355006*w**3/3 + 13450170*w**2 + 27256725*w + 13687875.
-(w - 345)**3*(w + 1)**2/3
Solve 2*f**4/15 + 2*f**3/5 - 68*f**2/15 - 72*f/5 - 48/5 = 0 for f.
-6, -2, -1, 6
Suppose -h**2/6 - 32*h/3 - 512/3 = 0. Calculate h.
-32
Let -2*p**2 - 396*p + 1616 = 0. What is p?
-202, 4
Factor 24*g**3 - 417*g**2 + 537*g - 144.
3*(g - 16)*(g - 1)*(8*g - 3)
What is o in 2*o**2/9 + 610*o/9 + 604/3 = 0?
-302, -3
Let 2*d**4 - 14*d**3 + 4*d**2 + 56*d - 48 = 0. Calculate d.
-2, 1, 2, 6
Factor -192*a**3 + 240*a**2 - 84*a + 9.
-3*(4*a - 3)*(4*a - 1)**2
Let 2*s**5/17 + 6*s**4/17 - 6*s**3/17 - 22*s**2/17 - 12*s/17 = 0. Calculate s.
-3, -1, 0, 2
Suppose -20*d**5 + 925*d**4 - 2850*d**3 + 2375*d**2 - 430*d = 0. What is d?
0, 1/4, 1, 2, 43
Suppose -3*k**4/2 + 3*k**3/2 + 21*k**2/2 - 39*k/2 + 9 = 0. What is k?
-3, 1, 2
Suppose 3*l**5 + 21*l**4 + 54*l**3 + 60*l**2 + 24*l = 0. What is l?
-2, -1, 0
Suppose 2*g**5/5 - 8*g**4/5 + 6*g**3/5 = 0. Calculate g.
0, 1, 3
Find i such that -3160*i**4 - 6332*i**3 - 3184*i**2 - 12*i = 0.
-1, -3/790, 0
Factor a**4/4 + 5*a**3/4 + 9*a**2/4 + 7*a/4 + 1/2.
(a + 1)**3*(a + 2)/4
Factor -x**3/7 - 134*x**2/7 - 3225*x/7 + 90000/7.
-(x - 16)*(x + 75)**2/7
Solve 20*j**4 + 1605*j**3 - 11995*j**2 + 19095*j - 8725 = 0 for j.
-349/4, 1, 5
Let 5*a**3 + 145*a**2 - 3300*a = 0. Calculate a.
-44, 0, 15
Suppose -q**4 - 51*q**3 - 569*q**2 + 2079*q - 1458 = 0. Calculate q.
-27, 1, 2
Solve 6*z**4 - 27*z**3 - 30*z**2 + 81*z - 30 = 0.
-2, 1/2, 1, 5
Factor 3*o**3 + 2889*o**2 + 927369*o + 99228483.
3*(o + 321)**3
Let -3*g**4/5 - 327*g**3/5 + 663*g**2/5 - 333*g/5 = 0. Calculate g.
-111, 0, 1
Determine h, given that 5*h**5 + 15*h**4 + 10*h**3 = 0.
-2, -1, 0
Factor -4*n**3 + 756*n**2 - 35340*n - 36100.
-4*(n - 95)**2*(n + 1)
Let -14*h**3/19 - 58*h**2/19 - 8*h/19 = 0. What is h?
-4, -1/7, 0
Determine v so that -9*v**4/7 - 21*v**3 - 804*v**2/7 - 1548*v/7 - 432/7 = 0.
-6, -4, -1/3
Factor -4*b**2 - 1144*b - 81796.
-4*(b + 143)**2
Solve -2*s**5/3 + 70*s**4 - 1712*s**3 - 22736*s**2/3 + 48672*s - 54432 = 0 for s.
-7, 2, 54
Solve -a**2/10 - 63*a/10 = 0.
-63, 0
Factor 2*f**2 + 2906*f + 2904.
2*(f + 1)*(f + 1452)
Factor -4*s**4/5 + 2*s**3/5 + 2*s**2/5.
-2*s**2*(s - 1)*(2*s + 1)/5
Suppose 2*a**2 + 18*a + 28 = 0. Calculate a.
-7, -2
Solve 4*a**4 - 8*a**3 - 20*a**2 + 24*a = 0.
-2, 0, 1, 3
Factor -m**2/3 + 4610*m/3 - 5313025/3.
-(m - 2305)**2/3
Factor 35*u**4 - 535*u**3 + 150*u**2.
5*u**2*(u - 15)*(7*u - 2)
Factor -5*j**3 + 5*j**2 + 80*j + 100.
-5*(j - 5)*(j + 2)**2
Suppose -3*v**2/2 - 225*v/2 - 111 = 0. Calculate v.
-74, -1
Suppose -4*w**2 + 496*w - 492 = 0. What is w?
1, 123
Factor -28*f**4 - 188*f**3 - 112*f**2 + 48*f.
-4*f*(f + 1)*(f + 6)*(7*f - 2)
Factor 5*b**2 - 215*b - 1470.
5*(b - 49)*(b + 6)
Suppose -w**5/3 + 38*w**4 - 4814*w**3/3 + 87464*w**2/3 - 170723*w - 1414562/3 = 0. What is w?
-2, 29
Factor -2*d**2/7 - 2780*d/7 - 966050/7.
-2*(d + 695)**2/7
Factor 4*t**5/5 - 12*t**3/5 + 8*t**2/5.
4*t**2*(t - 1)**2*(t + 2)/5
Find r such that -12*r**4 + 2211*r**3 - 543*r**2 - 1656*r = 0.
-3/4, 0, 1, 184
Solve 2*v**4/11 - 20*v**3/11 - 46*v**2/11 - 24*v/11 = 0.
-1, 0, 12
Factor 2*s**5/5 + 2*s**4 + 16*s**3/5 + 8*s**2/5.
2*s**2*(s + 1)*(s + 2)**2/5
Determine n, given that -2*n**5 - 18*n**4 - 6*n**3 + 146*n**2 - 192*n + 72 = 0.
-6, 1
Factor k**2/5 - 87*k/5 - 54.
(k - 90)*(k + 3)/5
Let 3*r**3 + 24*r**2 + 45*r = 0. What is r?
-5, -3, 0
Factor -128*i**2/11 + 96*i/11 - 18/11.
-2*(8*i - 3)**2/11
Factor -w**4/10 - w**3/10 + w**2 - 4*w/5.
-w*(w - 2)*(w - 1)*(w + 4)/10
What is a in -4*a**4 + 172*a**2 - 600*a + 576 = 0?
-8, 2, 3
Let 3*w**2 + 126*w = 0. What is w?
-42, 0
Factor w**3 + w**2 - 16*w + 20.
(w - 2)**2*(w + 5)
Factor -u**5 - 3*u**4 + 4*u**3.
-u**3*(u - 1)*(u + 4)
Determine r so that 3*r**4 - 54*r**3 + 99*r**2 + 1452*r = 0.
-4, 0, 11
Factor n**3/4 - n**2 + n.
n*(n - 2)**2/4
Solve 2*i**2/3 + 1424*i/3 + 253472/3 = 0 for i.
-356
Suppose 2*u**4 - 84*u**3 + 82*u**2 = 0. Calculate u.
0, 1, 41
Factor -d**4/3 + 22*d**3/3 - 181*d**2/3 + 220*d - 300.
-(d - 6)**2*(d - 5)**2/3
Find o such that o**2 + 26*o - 27 = 0.
-27, 1
Factor -4*s**3 + 28*s**2 - 16*s - 48.
-4*(s - 6)*(s - 2)*(s + 1)
Factor -3*b**2 + 99*b - 96.
-3*(b - 32)*(b - 1)
Factor 2*u**2/7 - 30*u + 2992/7.
2*(u - 88)*(u - 17)/7
Solve -3*z**2 - 282*z + 285 = 0 for z.
-95, 1
Factor -2*g**5 + 32*g**4 + 72*g**3.
-2*g**3*(g - 18)*(g + 2)
Let -2*k**5/7 - 40*k**4/7 - 204*k**3/7 - 128*k**2/7 + 206*k/7 + 24 = 0. Calculate k.
-12, -7, -1, 1
Solve 5*r**4 + 181*r**3 + 1461*r**2 - 3325*r - 722 = 0 for r.
-19, -1/5, 2
Find c such that c**3 - 36*c**2 - 157*c - 120 = 0.
-3, -1, 40
Let -m**2 - 7*m + 30 = 0. What is m?
-10, 3
Find a such that -a**2 - 272*a - 18496 = 0.
-136
Solve 2*q**3/9 + 52*q**2/9 - 110*q/9 + 56/9 = 0 for q.
-28, 1
What is i in 3*i**4/5 + 6*i**3/5 - 117*i**2/5 + 216*i/5 = 0?
-8, 0, 3
Find g such that g**2/2 - 6*g = 0.
0, 12
Find i, given that -5*i**4/2 - 165*i**3/2 - 370*i**2 - 570*i - 280 = 0.
-28, -2, -1
What is c in 3*c**5 + 6*c**4 - 12*c**3 - 24*c**2 = 0?
-2, 0, 2
Let 5*v**2 - 25*v = 0. What is v?
0, 5
Factor 14*v**2/11 + 6*v + 72/11.
2*(v + 3)*(7*v + 12)/11
Determine t so that -4*t**5 + 8*t**4 + 8*t**3 - 16*t**2 - 4*t + 8 = 0.
-1, 1, 2
Factor -2*j**4/5 - 4*j**3 - 34*j**2/5 - 16*j/5.
-2*j*(j + 1)**2*(j + 8)/5
Factor -t**3 - 132*t**2 - 5808*t - 85184.
-(t + 44)**3
Factor 3*l**2/5 - 18*l/5 - 21/5.
3*(l - 7)*(l + 1)/5
Determine f so that 3*f**3 + 954*f**2 + 101124*f + 3573048 = 0.
-106
Solve -2*p**3/7 + 18*p**2/7 - 54*p/7 + 54/7 = 0.
3
Factor -2*f**3/3 - 3278*f**2/3 - 1348064*f/3 - 1338248.
-2*(f + 3)*(f + 818)**2/3
Suppose z**4/2 + 2*z**3 - 9*z**2 + 10*z - 7/2 = 0. Calculate z.
-7, 1
What is j in -j**5 - 21*j**4 - 18*j**3 + 40*j**2 = 0?
-20, -2, 0, 1
Solve o**4 - 4175*o**3 + 4355568*o**2 + 4359744*o = 0.
-1, 0, 2088
Factor -4*t**5 + 68*t**4 + 152*t**3 + 8*t**2 - 148*t - 76.
-4*(t - 19)*(t - 1)*(t + 1)**3
Factor -35*r**2 + 165*r + 50.
-5*(r - 5)*(7*r + 2)
Suppose -184*s**4 - 2412*s**3/5 - 788*s**2/5 + 144*s + 16/5 = 0. Calculate s.
-2, -1, -1/46, 2/5
Factor 3*o**3 - 33*o**2 + 78*o - 48.
3*(o - 8)*(o - 2)*(o - 1)
Determine g so that 2*g**4/11 - 112*g**3/11 + 526*g**2/11 - 824*g/11 + 408/11 = 0.
1, 2, 51
Factor -2*b**4/15 + 2*b**3/15 + 6*b**2/5 + 22*b/15 + 8/15.
-2*(b - 4)*(b + 1)**3/15
Factor -s**5/2 + 2*s**4 - 2*s**3 - s**2 + 5*s/2 - 1.
-(s - 2)*(s - 1)**3*(s + 1)/2
Suppose -g**3/3 + 230*g**2/3 - 457*g/3 + 76 = 0. What is g?
1, 228
Factor 2*n**4/17 - 6*n**3/17 + 8*n/17.
2*n*(n - 2)**2*(n + 1)/17
Factor 2*j**4 + 4*j**3 - 104*j**2 + 188*j - 90.
2*(j - 5)*(j - 1)**2*(j + 9)
Let -i**4/6 + 67*i**3/3 - 2432*i**2/3 + 4096*i = 0. What is i?
0, 6, 64
Factor -3*p**3/5 - 213*p**2/5 - 3672*p/5 + 3888/5.
-3*(p - 1)*(p + 36)**2/5
What is k in 2*k**3/3 - 20*k**2 + 150*k = 0?
0, 15
Factor -p**2/5 + 3*p/5 + 26.
-(p - 13)*(p + 10)/5
Suppose w**2 + 11*w - 126 = 0. What is w?
-18, 7
Determine j, given that j**4/2 - 23*j**3/2 + 137*j**2/2 - 265*j/2 + 75 = 0.
1, 2, 5, 15
Factor n**3/4 + 4*n**2 + 33*n/4 - 135/2.
(n - 3)*(n + 9)*(n + 10)/4
Factor k**3/5 + 31*k**2/5 + 6*k.
k*(k + 1)*(k + 30)/5
Factor -180*n**3 + 840*n**2 - 1265*n + 605.
-5*(n - 1)*(6*n - 11)**2
Factor -h**4 + 6*h**2 + 8*h + 3.
-(h - 3)*(h + 1)**3
Factor 3*t**2/2 + 15*t + 75/2.
3*(t + 5)**2/2
Factor -2*q**2/9 + 110*q/9.
-2*q*(q - 55)/9
Factor -w**2 + 3414*w - 2913849.
-(w - 1707)**2
Suppose 2*h**4/7 + 4*h**3/7 - 18*h**2/7 - 4*h/7 + 16/7 = 0. What is h?
-4, -1, 1, 2
What is v in v**2 - 55*v - 56 = 0?
-1, 56
Factor 2*x**2/7 - 4*x - 414/7.
2*(x - 23)*(x + 9)/7
Factor -l**2/2 - 14*l - 27/2.
-(l + 1)*(l + 27)/2
Factor -2*t**2/9 + 394*t/9 - 1544/9.
-2*(t - 193)*(t - 4)/9
Factor 5*p**4 + 1365*p**3 + 124215*p**2 + 3767855*p.
5*p*(p + 91)**3
Determine u, given that -u**4/2 + 97*u**3/2 - 1584*u**2 + 17920*u - 16384 = 0.
1, 32
Factor 3*j**2 + 9*j - 12.
3*(j - 1)*(j + 4)
Find u, given that u**2/2 - 23*u/2 + 21 = 0.
2, 21
Factor 1089*a**3 + 231*a**2 - 117*a - 27.
3*(3*a - 1)*(11*a + 3)**2
