, 1, 32
Factor 2*l**3/3 - 28*l**2/3 + 118*l/3 - 140/3.
2*(l - 7)*(l - 5)*(l - 2)/3
Factor 34*y**3 + 38*y**2 + 4*y.
2*y*(y + 1)*(17*y + 2)
Solve -2*i**4/7 - 32*i**3/7 - 12*i**2 - 80*i/7 - 26/7 = 0.
-13, -1
Factor i**4 - 18*i**3 - 780*i**2 - 1502*i - 741.
(i - 39)*(i + 1)**2*(i + 19)
Factor -2*t**4 - 94*t**3 - 950*t**2 + 3750*t.
-2*t*(t - 3)*(t + 25)**2
Suppose 35*d**5 - 255*d**4 - 1785*d**3 - 2305*d**2 - 450*d + 360 = 0. Calculate d.
-3, -1, 2/7, 12
Factor 3*f**2 - 648*f + 34992.
3*(f - 108)**2
Factor -2*q**5/3 + 6*q**4 - 64*q**3/3 + 112*q**2/3 - 32*q + 32/3.
-2*(q - 2)**4*(q - 1)/3
Factor 3*h**5 - 957*h**4 - 1962*h**3 + 11598*h**2 - 13497*h + 4815.
3*(h - 321)*(h - 1)**3*(h + 5)
Factor -4*n**5 - 4*n**4 + 4*n**3 + 4*n**2.
-4*n**2*(n - 1)*(n + 1)**2
Solve 2*a**5/17 + 24*a**4/17 + 112*a**3/17 + 256*a**2/17 + 288*a/17 + 128/17 = 0.
-4, -2
Solve -3*a**5/5 - 39*a**4/5 - 156*a**3/5 - 36*a**2 = 0 for a.
-6, -5, -2, 0
Determine i so that i**5 - 25*i**4/4 + 27*i**3/2 - 13*i**2 + 11*i/2 - 3/4 = 0.
1/4, 1, 3
Determine z so that 232*z**5/7 + 1782*z**4/7 + 4052*z**3/7 + 2264*z**2/7 - 1104*z/7 + 64/7 = 0.
-4, -2, 2/29, 1/4
Factor 2*q**2 - 596*q.
2*q*(q - 298)
Suppose r**4/4 + r**3/2 - 75*r**2/4 + 62*r - 44 = 0. What is r?
-11, 1, 4
Let h**4/8 + 3*h**3/2 + 11*h**2/8 = 0. Calculate h.
-11, -1, 0
Solve -4*o**2/5 + 504*o - 5024/5 = 0 for o.
2, 628
Let 18*y**3 + 166*y**2 + 180*y + 32 = 0. Calculate y.
-8, -1, -2/9
Factor -3*m**2 + 186*m - 183.
-3*(m - 61)*(m - 1)
Determine n so that -2*n**3/9 + 26*n**2/9 - 20*n/9 - 16/3 = 0.
-1, 2, 12
Factor u**3 + 2410*u**2 - u - 2410.
(u - 1)*(u + 1)*(u + 2410)
Factor -5*s**4 + 80*s**3 - 175*s**2 - 260*s.
-5*s*(s - 13)*(s - 4)*(s + 1)
Find s, given that 4*s**3 + 22348*s**2 + 31225740*s + 31203396 = 0.
-2793, -1
Find r such that 35*r**4 + 635*r**3 + 1200*r**2 = 0.
-16, -15/7, 0
Suppose -u**5/4 + 8*u**4 + 9*u**3 - 49*u**2/2 - 35*u/4 + 33/2 = 0. Calculate u.
-2, -1, 1, 33
Factor w**4.
w**4
Factor -4*x**3 - 1244*x**2 - 96096*x + 97344.
-4*(x - 1)*(x + 156)**2
Factor -f**3 - 23*f**2 - 112*f.
-f*(f + 7)*(f + 16)
Find h, given that -3*h**4 + 60*h**3 - 189*h**2 - 60*h + 192 = 0.
-1, 1, 4, 16
Let -6*c**2/5 - 528*c/5 - 11616/5 = 0. Calculate c.
-44
Factor -44*g**2 + 19676*g - 3576.
-4*(g - 447)*(11*g - 2)
Factor -2*n**4 - 6*n**3 - 2*n**2 + 6*n + 4.
-2*(n - 1)*(n + 1)**2*(n + 2)
Solve -9*k**2 - 24*k + 48 = 0.
-4, 4/3
Solve 4*b**2/19 - 42*b/19 - 22/19 = 0.
-1/2, 11
Determine j, given that -2*j**4/7 + 66*j**3/7 - 232*j**2/7 = 0.
0, 4, 29
Find n such that 94*n**5 - 180*n**4 - 16*n**3 + 188*n**2 - 78*n - 8 = 0.
-1, -4/47, 1
Factor 4*v**3 + 772*v**2 - 4756*v + 3980.
4*(v - 5)*(v - 1)*(v + 199)
Factor f**4 - 36*f**3 + 69*f**2 - 34*f.
f*(f - 34)*(f - 1)**2
Factor 5*z**2 + 110*z - 240.
5*(z - 2)*(z + 24)
Factor -p**3/10 - p**2/10 + 18*p/5 + 18/5.
-(p - 6)*(p + 1)*(p + 6)/10
Find a, given that -a**2/6 + 2/3 = 0.
-2, 2
Determine v so that -2*v**2/5 - 532*v/5 - 35378/5 = 0.
-133
Find g, given that 5*g**3 + 120*g**2 + 105*g - 230 = 0.
-23, -2, 1
Solve -4*o**3 - 80*o**2 - 512*o - 1024 = 0 for o.
-8, -4
Factor -2*p**2/15 + 16*p/15 - 32/15.
-2*(p - 4)**2/15
Factor -2*p**2 - 8*p - 8.
-2*(p + 2)**2
Suppose 2*l**5 - 4*l**4 - 6*l**3 + 16*l**2 - 8*l = 0. Calculate l.
-2, 0, 1, 2
Find m such that -3*m**5/2 + 24*m**4 - 243*m**3/2 + 273*m**2 - 282*m + 108 = 0.
1, 2, 9
Factor -5*h**3 + 195*h**2 - 1320*h + 2480.
-5*(h - 31)*(h - 4)**2
Let 5*q**3 - 20*q**2 - 60*q = 0. What is q?
-2, 0, 6
Let -2*y**3 - 24*y**2 + 56*y = 0. What is y?
-14, 0, 2
Suppose 38*l**3/3 - 212*l**2/3 - 362*l/3 - 112/3 = 0. What is l?
-1, -8/19, 7
Factor -2*v**2/3 + 32/3.
-2*(v - 4)*(v + 4)/3
Find l such that 294*l**4 + 574*l**3 - 50*l**2 - 46*l - 4 = 0.
-2, -1/7, 1/3
Determine g so that -3*g**4 + 27*g**3 - 24*g**2 = 0.
0, 1, 8
Factor o**2/7 + 351*o/7 - 352/7.
(o - 1)*(o + 352)/7
What is f in -2*f**4/5 + 12*f**3/5 + 14*f**2/5 = 0?
-1, 0, 7
Factor -x**5 - 3*x**4 + 4*x**2.
-x**2*(x - 1)*(x + 2)**2
Let -b**2/10 - 4*b - 39/10 = 0. What is b?
-39, -1
Solve l**4/11 + 41*l**3/11 - 42*l**2/11 = 0.
-42, 0, 1
Determine l so that 12*l**4 + 152*l**3 + 228*l**2 + 88*l = 0.
-11, -1, -2/3, 0
Find r such that -4*r**2 - 8*r = 0.
-2, 0
Factor -4*n**2/7 + 100*n/7 + 128.
-4*(n - 32)*(n + 7)/7
Find l, given that -8*l**5 - 4*l**4 + 2*l**3 + l**2 = 0.
-1/2, 0, 1/2
Solve 4*y**4/3 + 32*y**3 + 88*y**2/3 - 32*y - 92/3 = 0.
-23, -1, 1
What is k in 8*k**3/9 + 74*k**2/9 - 10478*k/9 - 2624/9 = 0?
-41, -1/4, 32
Find d such that 3*d**4 - 11472*d**3 + 10955754*d**2 + 21945936*d + 10978707 = 0.
-1, 1913
Determine f so that 4*f**4 - 112*f**3 + 464*f**2 + 3328*f + 3840 = 0.
-2, 12, 20
Suppose -2*a**3 + 182*a**2 - 176*a - 360 = 0. What is a?
-1, 2, 90
Let 3*y**2 - 810*y = 0. Calculate y.
0, 270
Find i such that -i**3 - 113*i**2 + 229*i - 115 = 0.
-115, 1
Solve 6*b**5/7 + 38*b**4/7 + 36*b**3/7 - 4*b**2 - 6*b - 10/7 = 0 for b.
-5, -1, -1/3, 1
Suppose 71286*d**2/5 - 2616*d/5 + 24/5 = 0. Calculate d.
2/109
Determine f so that -2*f**2 + 4192*f - 4190 = 0.
1, 2095
Factor 13*l**2/2 - 15*l/2 + 1.
(l - 1)*(13*l - 2)/2
Find m such that -7*m**4/2 + 2991*m**3/2 - 6811*m**2/2 + 4677*m/2 - 425 = 0.
2/7, 1, 425
Suppose -2*s**4 + 28*s**3 + 366*s**2 + 1072*s + 736 = 0. Calculate s.
-4, -1, 23
Factor -3*p**4/7 + 12*p**3/7 + 132*p**2/7 - 288*p/7.
-3*p*(p - 8)*(p - 2)*(p + 6)/7
Factor 2*z**3 - 1060*z**2 - 2*z + 1060.
2*(z - 530)*(z - 1)*(z + 1)
Factor -5*m**2 + 75*m + 80.
-5*(m - 16)*(m + 1)
Solve t**4/4 - 23*t**3/4 + 63*t**2/4 - 61*t/4 + 5 = 0.
1, 20
Factor 2*o**3/15 - 244*o**2/15 + 704*o/3 - 13568/15.
2*(o - 106)*(o - 8)**2/15
What is g in 2*g**3/13 - 320*g**2/13 - 2*g/13 + 320/13 = 0?
-1, 1, 160
Let 5*n**4/4 + 105*n**3/4 + 175*n**2/4 - 285*n/4 = 0. What is n?
-19, -3, 0, 1
What is p in 8*p**4 - 44*p**3 + 64*p**2 - 4*p - 24 = 0?
-1/2, 1, 2, 3
Factor 15*i**3 - 55*i**2 - 120*i + 100.
5*(i - 5)*(i + 2)*(3*i - 2)
Find c such that c**3 - 24*c**2 + 63*c = 0.
0, 3, 21
Solve -o**5 + 11*o**4 + 98*o**3 + 74*o**2 - 97*o - 85 = 0 for o.
-5, -1, 1, 17
Determine m so that -2*m**3/3 + 26*m**2/3 - 32*m/3 - 128 = 0.
-3, 8
Factor 2*r**4/15 - 752*r**3/5 + 318096*r**2/5 - 59802048*r/5 + 4216044384/5.
2*(r - 282)**4/15
Factor 15*a**4 - 85*a**3 + 50*a**2.
5*a**2*(a - 5)*(3*a - 2)
Let -2*n**5/7 + 176*n**4/7 = 0. What is n?
0, 88
Factor -s**4/7 - 6*s**3/7 + 15*s**2/7 - 8*s/7.
-s*(s - 1)**2*(s + 8)/7
Factor 3*a**4 + 75*a**3 + 666*a**2 + 2484*a + 3240.
3*(a + 3)*(a + 6)**2*(a + 10)
Factor -l**2 + 431*l - 430.
-(l - 430)*(l - 1)
Factor -b**5/10 + 7*b**4/5 + 3*b**3/2.
-b**3*(b - 15)*(b + 1)/10
Factor -h**3/8 - 3*h**2/4 - 9*h/8 - 1/2.
-(h + 1)**2*(h + 4)/8
Let -4*d**3 - 200*d**2 - 2688*d - 4608 = 0. Calculate d.
-24, -2
Factor -2*d**2 - 36*d + 806.
-2*(d - 13)*(d + 31)
Determine n so that 784*n**5/3 + 3682*n**4/3 + 5440*n**3/3 + 2672*n**2/3 + 512*n/3 + 32/3 = 0.
-2, -2/7, -1/8
Let -y**5 - 11*y**4 - 26*y**3 - 16*y**2 = 0. Calculate y.
-8, -2, -1, 0
Determine h, given that h**3/3 - 103*h**2 + 10609*h - 1092727/3 = 0.
103
Factor s**3/4 + 33*s**2/4 + 84*s + 272.
(s + 8)**2*(s + 17)/4
Factor -3*u**2 + 66*u + 144.
-3*(u - 24)*(u + 2)
Factor -x**4/2 + 1365*x**3/2 - 682*x**2.
-x**2*(x - 1364)*(x - 1)/2
Let 2*d**3/5 + 14*d**2 - 148*d/5 = 0. Calculate d.
-37, 0, 2
Find q, given that -q**5/2 - q**4 + 7*q**3/2 + 4*q**2 - 6*q = 0.
-3, -2, 0, 1, 2
Let -5*g**2 + 1290*g + 16200 = 0. What is g?
-12, 270
Determine t, given that -3*t**4/5 - 6*t**3/5 + 33*t**2/5 + 36*t/5 = 0.
-4, -1, 0, 3
Let -5*z**3 + 290*z**2 - 565*z + 280 = 0. What is z?
1, 56
Suppose 5*g**3/4 + 225*g**2/4 - 115*g/2 = 0. Calculate g.
-46, 0, 1
Factor -3*x**4/2 + 9*x**3/2 + 3*x**2/2 - 9*x/2.
-3*x*(x - 3)*(x - 1)*(x + 1)/2
Find o such that -5*o**2 + 5260*o = 0.
0, 1052
Suppose 3*f**2/7 + 12*f/7 + 12/7 = 0. What is f?
-2
Factor 5*w**2 - 1820*w + 165620.
5*(w - 182)**2
Factor -4*o**2 - 7096*o - 3147076.
-4*(o + 887)**2
Suppose j**2 + 64*j - 65 = 0. What is j?
-65, 1
Determine o, given that 5*o**2 + 275*o + 780 = 0.
-52, -3
Factor 2*a**2 - 26*a + 60.
2*(a - 10)*(a - 3)
Find f such that 196*f**5/3 + 56420*f**4 + 434380*f**3/3 + 125180*f**2 + 124000*f/3 + 4592 = 0.
-861, -1, -2/7
Find d such that -2*d**3/15 + 26*d**2/15 - 46*d/15 + 22/15 = 0.
1, 11
Suppose -i**4 - 40*i**3/7 - 23*i**2/7 + 10*i/7 = 0. Calculate i.
-5, -1, 0, 2/7
S