55
Determine l so that 3*l**3 + 6*l**2 - 60*l + 72 = 0.
-6, 2
Suppose -3*l**4/7 - 3*l**3/7 + 57*l**2/7 + 21*l + 90/7 = 0. Calculate l.
-3, -2, -1, 5
Factor -248*x**3/7 - 46*x**2/7 + 4*x/7.
-2*x*(4*x + 1)*(31*x - 2)/7
Factor 3*p**2 + 6*p - 144.
3*(p - 6)*(p + 8)
Let -u**2/4 + u + 21/4 = 0. Calculate u.
-3, 7
Factor 4*i**3 - 96*i**2 + 236*i + 336.
4*(i - 21)*(i - 4)*(i + 1)
Factor 6*b**3/5 + b**2/5 - 18*b/5 + 8/5.
(b + 2)*(2*b - 1)*(3*b - 4)/5
Factor -t**3/3 + 74*t**2/3 + t/3 - 74/3.
-(t - 74)*(t - 1)*(t + 1)/3
Solve u**4/6 - 4*u**3 - 25*u**2/6 = 0 for u.
-1, 0, 25
Find m, given that 2*m**5/7 - 10*m**4/7 - 42*m**3 + 1234*m**2/7 - 1556*m/7 + 624/7 = 0.
-12, 1, 2, 13
Factor -5*k**5 + 120*k**4 - 945*k**3 + 2430*k**2.
-5*k**2*(k - 9)**2*(k - 6)
Determine t so that 3*t**5 + 21*t**4 + 27*t**3 - 21*t**2 - 30*t = 0.
-5, -2, -1, 0, 1
Determine k, given that 4*k**3 - 148*k**2 + 284*k - 140 = 0.
1, 35
Factor -b**4/5 + 4*b**3/5 + b**2/5 - 4*b/5.
-b*(b - 4)*(b - 1)*(b + 1)/5
Suppose v**3 - 233*v**2 - 234*v = 0. Calculate v.
-1, 0, 234
Factor -n**2/5 - 32*n/5.
-n*(n + 32)/5
Find x, given that -73*x**4/3 - 2*x**3/3 = 0.
-2/73, 0
Determine m so that 4*m**5 + 39*m**4 + 106*m**3 + 99*m**2 + 16*m - 12 = 0.
-6, -2, -1, 1/4
Suppose -5*q**2 - 80*q + 180 = 0. What is q?
-18, 2
Factor -f**4/11 + 24*f**3/11 - 45*f**2/11 + 2*f.
-f*(f - 22)*(f - 1)**2/11
Factor i**4/5 + 251*i**3/5.
i**3*(i + 251)/5
Factor -5*x**3 + 310*x**2.
-5*x**2*(x - 62)
Solve -86*d**2/3 - 74*d/3 + 4 = 0.
-1, 6/43
Suppose 20*w**5 + 165*w**4 - 560*w**3 + 490*w**2 - 60*w - 55 = 0. Calculate w.
-11, -1/4, 1
Factor -q**2/6 - 76*q/3 - 2888/3.
-(q + 76)**2/6
Suppose 6*f**3 + 716*f**2 - 4262*f - 1500 = 0. Calculate f.
-125, -1/3, 6
Factor 4*r**4 + 260*r**3 + 1416*r**2 - 128*r - 7552.
4*(r - 2)*(r + 4)**2*(r + 59)
Factor 5*x**4 + 320*x**3 - 995*x**2 + 670*x.
5*x*(x - 2)*(x - 1)*(x + 67)
Let -4*o**5 - 7*o**4 + 30*o**3 - 23*o**2 + 4*o = 0. Calculate o.
-4, 0, 1/4, 1
Determine r so that 3*r**5/5 - 3*r**4/5 - 3*r**3 + 3*r**2 + 12*r/5 - 12/5 = 0.
-2, -1, 1, 2
Factor f**2/5 + 13*f/5.
f*(f + 13)/5
Factor -3*b**4 - 24*b**3 - 45*b**2 + 24*b + 48.
-3*(b - 1)*(b + 1)*(b + 4)**2
Let 5*o**5 + 395*o**4 + 5040*o**3 + 15040*o**2 - 20480*o = 0. What is o?
-64, -8, 0, 1
Find u, given that 2*u**2/7 - 212*u/7 + 5618/7 = 0.
53
Factor g**2 + 16*g/5 + 11/5.
(g + 1)*(5*g + 11)/5
Determine l, given that -2*l**4 + 54*l**3 + 124*l**2 - 216*l - 464 = 0.
-2, 2, 29
Solve 8*s**5/5 + 13*s**4/5 + 2*s**3/5 - 3*s**2/5 = 0.
-1, 0, 3/8
Factor -w**3/5 - 2*w**2/5 + w/5 + 2/5.
-(w - 1)*(w + 1)*(w + 2)/5
Factor -5*c**3/3 + 155*c**2/3 - 560*c/3 + 180.
-5*(c - 27)*(c - 2)**2/3
Factor -m**3/6 - 11*m**2/3 + 50*m/3 - 52/3.
-(m - 2)**2*(m + 26)/6
Factor 5*c**2/6 - 3805*c.
5*c*(c - 4566)/6
Suppose -2*g**4 + 7*g**3 - 3*g**2 - 8*g + 4 = 0. What is g?
-1, 1/2, 2
Factor -j**5/7 - 38*j**4/7 - 505*j**3/7 - 2628*j**2/7 - 3888*j/7 - 1728/7.
-(j + 1)**2*(j + 12)**3/7
Factor 3*o**2 - 39*o + 90.
3*(o - 10)*(o - 3)
What is y in 3*y**5 + 48*y**4 + 63*y**3 - 1122*y**2 + 660*y + 1800 = 0?
-10, -1, 2, 3
Find o, given that -o**3/2 - 7*o**2 - 30*o - 36 = 0.
-6, -2
Determine q so that -3*q**2/2 + 54*q - 486 = 0.
18
Find v such that -5*v**4 + 97*v**3 - 98*v**2 - 516*v + 216 = 0.
-2, 2/5, 3, 18
Let -16*i**4 + 88*i**3 - 137*i**2 + 53*i - 6 = 0. Calculate i.
1/4, 2, 3
Let -5*n**3/2 + 77*n**2/2 - 50*n + 14 = 0. What is n?
2/5, 1, 14
Let 3*b**2 - 516*b + 22188 = 0. What is b?
86
Factor 4*u**2 - 17340*u - 17344.
4*(u - 4336)*(u + 1)
Factor -2*j**2/17 - 564*j/17 - 1674/17.
-2*(j + 3)*(j + 279)/17
Factor -4*s**2 + 8*s + 12.
-4*(s - 3)*(s + 1)
Suppose -h**2/4 + 61*h/2 + 123/4 = 0. What is h?
-1, 123
Suppose -j**5/5 + 6*j**3/5 - 8*j**2/5 + 3*j/5 = 0. What is j?
-3, 0, 1
Determine s, given that -20*s**4/7 - 1912*s**3/7 - 1140*s**2/7 = 0.
-95, -3/5, 0
Find a, given that 2*a**2 - 14064*a + 24724512 = 0.
3516
Find w, given that -2*w**2/11 - 1664*w/11 - 3320/11 = 0.
-830, -2
Find l such that 2*l**4/7 + 344*l**3/7 + 14442*l**2/7 - 30276*l/7 = 0.
-87, 0, 2
Find s, given that -2*s**2/11 + 8*s/11 = 0.
0, 4
Factor -3*w**3 + 120*w**2 - 1200*w.
-3*w*(w - 20)**2
Determine u, given that 4*u**4 - 20*u**3 + 36*u**2 - 28*u + 8 = 0.
1, 2
Factor 36*p**3 + 24576*p**2 + 16372*p + 2728.
4*(p + 682)*(3*p + 1)**2
Solve -5*x**3 - 15*x**2 + 110*x + 120 = 0.
-6, -1, 4
Factor i**3/9 - 50*i**2/9 + 352*i/9 - 224/3.
(i - 42)*(i - 4)**2/9
Suppose 9*y**4/2 + 1281*y**3/2 + 417*y**2/2 - 1281*y/2 - 213 = 0. What is y?
-142, -1, -1/3, 1
Solve -2*p**2/5 - 778*p/5 - 776/5 = 0.
-388, -1
Suppose 507*r**3 - 351*r**2 - 144*r - 12 = 0. Calculate r.
-2/13, 1
Suppose 4*q**3/5 + 11*q**2/5 - 4*q/5 - 11/5 = 0. Calculate q.
-11/4, -1, 1
Determine a so that -4*a**5 + 44*a**4 - 76*a**3 + 36*a**2 = 0.
0, 1, 9
Determine r, given that -4*r**4 - 4*r**3 + 20*r**2 - 12*r = 0.
-3, 0, 1
Find g, given that -g**4 + 58*g**3 + 183*g**2 + 4*g - 244 = 0.
-2, 1, 61
Factor -m**2/6 + 11*m/2 - 15.
-(m - 30)*(m - 3)/6
Solve -3*b**2 + 135*b - 132 = 0 for b.
1, 44
Find o, given that -o**5 - o**4/5 + 9*o**3 + 9*o**2/5 = 0.
-3, -1/5, 0, 3
What is g in -2*g**5 + 16*g**4 - 22*g**3 - 16*g**2 + 24*g = 0?
-1, 0, 1, 2, 6
What is d in -2*d**3/3 - 58*d**2/3 - 36*d = 0?
-27, -2, 0
Factor -5*q**4 - 40*q**3 - 110*q**2 - 120*q - 45.
-5*(q + 1)**2*(q + 3)**2
Suppose -4*a**4/9 + 4*a**2/3 + 8*a/9 = 0. What is a?
-1, 0, 2
Factor -b**5 + b**4 + 4*b**3 - 4*b**2.
-b**2*(b - 2)*(b - 1)*(b + 2)
Factor 3*j**2 + 15*j - 18.
3*(j - 1)*(j + 6)
Factor -5*m**5 - 60*m**4 - 230*m**3 - 300*m**2 - 125*m.
-5*m*(m + 1)**2*(m + 5)**2
Find q, given that 3*q**3 + 525*q**2 = 0.
-175, 0
Let 3*y**2/5 - 6*y/5 - 153 = 0. Calculate y.
-15, 17
Solve -t**5 + 21*t**4 - 71*t**3 + 51*t**2 = 0.
0, 1, 3, 17
Find y such that y**3 + 39*y**2 - 40*y = 0.
-40, 0, 1
Solve -4*k**4 + 34*k**3/5 - 8*k**2/5 - 6*k/5 = 0 for k.
-3/10, 0, 1
Factor z**2/2 + z - 63/2.
(z - 7)*(z + 9)/2
Solve 131*v**2/5 - 392*v/5 - 3/5 = 0.
-1/131, 3
Factor -5*d**2/3 - 4220*d/3 + 2820.
-5*(d - 2)*(d + 846)/3
Let -h**5 + 11*h**4 - 45*h**3 + 85*h**2 - 74*h + 24 = 0. Calculate h.
1, 2, 3, 4
Let 3*h**2/2 - 9*h/2 - 15 = 0. Calculate h.
-2, 5
What is t in 15*t**5 + 66*t**4 + 84*t**3 + 24*t**2 = 0?
-2, -2/5, 0
Factor 2*b**2/7 - 8*b/7 - 6.
2*(b - 7)*(b + 3)/7
Factor 3*g**3 - 357*g**2 + 11136*g - 30276.
3*(g - 58)**2*(g - 3)
Suppose 3*t**2/7 + 2*t + 8/7 = 0. What is t?
-4, -2/3
Factor -2*t**4/7 - 6*t**3/7 + 12*t**2/7 + 16*t/7.
-2*t*(t - 2)*(t + 1)*(t + 4)/7
Factor -3*v**4 + 60*v**3 - 54*v**2 - 60*v + 57.
-3*(v - 19)*(v - 1)**2*(v + 1)
What is t in 2*t**3/13 - 42*t**2/13 = 0?
0, 21
Factor -2*o**5 - 20*o**4 - 80*o**3 - 160*o**2 - 160*o - 64.
-2*(o + 2)**5
Suppose -6*a**5 + 27*a**4 + 465*a**3 - 285*a**2 - 1179*a - 462 = 0. Calculate a.
-7, -1, -1/2, 2, 11
Determine t so that 196*t**3 - 16184*t**2 + 9200*t - 1312 = 0.
2/7, 82
Determine h, given that 5*h**3 - 55*h**2 - 325*h + 375 = 0.
-5, 1, 15
Factor 4*g**2 + 312*g + 3584.
4*(g + 14)*(g + 64)
Factor 2*r**4/5 + 23*r**3/5 - 99*r**2/5 + 18*r.
r*(r - 2)*(r + 15)*(2*r - 3)/5
Determine i, given that -36*i**2 - 20*i = 0.
-5/9, 0
Factor -j**4/2 + 12*j**3 - 143*j**2/2 + 120*j.
-j*(j - 16)*(j - 5)*(j - 3)/2
Factor 5*z**3 - 190*z**2 - 395*z - 200.
5*(z - 40)*(z + 1)**2
Factor -m**4 - 7*m**3 + 20*m**2 + 132*m - 144.
-(m - 4)*(m - 1)*(m + 6)**2
Let 20*g**2 + 32*g - 52 = 0. Calculate g.
-13/5, 1
Determine x so that -5*x**4 - 605*x**3 - 18600*x**2 - 18000*x = 0.
-60, -1, 0
Solve 3*h**3 + 116*h**2 + 484*h + 272 = 0 for h.
-34, -4, -2/3
Let q**5 + 105*q**4 + 2367*q**3 - 20281*q**2 + 46032*q - 28224 = 0. What is q?
-56, 1, 3
Find i, given that -2*i**5/11 + 130*i**4/11 - 2448*i**3/11 + 3456*i**2/11 + 193536*i/11 = 0.
-7, 0, 24
Factor -4*q**4 + 8*q**3 + 12*q**2 - 32*q + 16.
-4*(q - 2)*(q - 1)**2*(q + 2)
Factor -5*j**4 - 115*j**3 - 110*j**2.
-5*j**2*(j + 1)*(j + 22)
What is a in a**2/2 + 77*a = 0?
-154, 0
Factor -p**2 - 64*p.
-p*(p + 64)
Let 27*j**3 - 380*j**2 - 1916*j + 144 = 0. What is j?
-4, 2/27, 18
Factor 4*x**2 - 100*x + 600.
4*(x - 15)*(x - 10)
Factor -2*r**4 - 18*r**3 - 14*r**2 + 90*r - 56.
-2*(r - 1)**2*(r + 4)*(r + 7)
Suppose -5*l**5 + 50*l**4 - 135*l**3 - 50*l**2 + 620*l - 600 = 0. Calculate l.
-2, 2, 3, 5
Find g such that g**2/4 + 68*g - 273/4 = 0.
-273, 1
Let 3*r**2 - 3*r = 0. Calculate r.
0, 1
Factor 5*s*