o**3 - 42*o**2 + 2*o + 40 = 0 for o.
-4, -1, 1, 5
Factor -4*t**4 + 32*t**3 - 60*t**2 - 32*t + 64.
-4*(t - 4)**2*(t - 1)*(t + 1)
Suppose 3*i**3/7 + 57*i**2 + 15480*i/7 + 140400/7 = 0. Calculate i.
-60, -13
What is h in 5*h**5 + 75*h**4 + 240*h**3 - 320*h**2 = 0?
-8, 0, 1
Solve 18*k**5 - 130*k**4 + 298*k**3 - 222*k**2 + 36*k = 0.
0, 2/9, 1, 3
Factor -5*j**3 + 710*j**2 + 1455*j - 2160.
-5*(j - 144)*(j - 1)*(j + 3)
Find l, given that -5*l**4/3 + 40*l**3 + 260*l**2/3 = 0.
-2, 0, 26
Factor 2*p**3 - 46*p**2 - 48*p.
2*p*(p - 24)*(p + 1)
Determine r, given that 24*r**3/5 - 2*r**2/5 - 216*r/5 + 18/5 = 0.
-3, 1/12, 3
Factor -3*i**3/2 - 42*i**2 - 258*i - 360.
-3*(i + 2)*(i + 6)*(i + 20)/2
Factor 3*s**2 - 450*s + 1323.
3*(s - 147)*(s - 3)
Factor 2*t**4/7 + 24*t**3/7 - 120*t**2/7 + 128*t/7.
2*t*(t - 2)**2*(t + 16)/7
Factor 2*l**5/13 - 504*l**4/13 + 40200*l**3/13 - 824384*l**2/13 - 14682624*l/13 - 49065984/13.
2*(l - 88)**3*(l + 6)**2/13
What is v in -3*v**2 - 162*v + 165 = 0?
-55, 1
Factor -b**2/4 + 27*b/4 - 23.
-(b - 23)*(b - 4)/4
Let -2*d**5/9 - 46*d**4/3 - 770*d**3/3 + 2450*d**2/9 = 0. What is d?
-35, 0, 1
What is j in 3*j**4 - 12*j**3 - 18*j**2 + 12*j + 15 = 0?
-1, 1, 5
Factor 2*n**3 - 292*n**2/9 + 64*n/9.
2*n*(n - 16)*(9*n - 2)/9
What is p in -63*p**5/8 - 291*p**4/8 + 255*p**3/4 - 21*p**2/2 - 9*p = 0?
-6, -2/7, 0, 2/3, 1
Factor -h**3/2 + 6*h**2 - 11*h/2.
-h*(h - 11)*(h - 1)/2
Suppose 2*w**2/3 + 328*w/3 - 334 = 0. Calculate w.
-167, 3
Find x, given that 6*x**3 + 194*x**2 + 240*x - 248 = 0.
-31, -2, 2/3
Factor j**5/2 - 2*j**4 - j**3/2 + 2*j**2.
j**2*(j - 4)*(j - 1)*(j + 1)/2
Factor -u**2 - 14788*u - 54671236.
-(u + 7394)**2
Determine w, given that 4*w**2/7 + 384*w/7 - 388/7 = 0.
-97, 1
Factor 2*t**3/7 - 12*t**2/7 - 54*t/7 + 40.
2*(t - 7)*(t - 4)*(t + 5)/7
Suppose p**3 - 10*p**2 + 25*p = 0. What is p?
0, 5
Let 5120*l**3 - 435520*l**2 + 27205*l - 425 = 0. Calculate l.
1/32, 85
Factor l**2 - 12*l - 45.
(l - 15)*(l + 3)
Suppose -r**3/6 + 25*r**2/2 - 561*r/2 + 3267/2 = 0. Calculate r.
9, 33
What is i in 2*i**4/15 - 8*i**2/15 = 0?
-2, 0, 2
Solve -2*j**3 + 1944*j**2 + 3894*j + 1948 = 0.
-1, 974
Find i, given that 2*i**4/3 + 2*i**3 + 2*i**2/3 - 2*i - 4/3 = 0.
-2, -1, 1
Factor -4*h**3/5 + 20*h**2 - 608*h/5 + 512/5.
-4*(h - 16)*(h - 8)*(h - 1)/5
Factor -4*s**4 - 128*s**3 - 1320*s**2 - 3872*s + 5324.
-4*(s - 1)*(s + 11)**3
Factor -2*m**2/9 + 238*m/3.
-2*m*(m - 357)/9
Determine p so that 49*p**5/6 - 1141*p**4/2 + 20961*p**3/2 - 108673*p**2/6 + 9928*p - 1734 = 0.
3/7, 1, 34
Factor -41*m**2/6 - m/3.
-m*(41*m + 2)/6
Solve 4*g**5 + 20*g**4 - 20*g**3 - 180*g**2 + 432 = 0.
-3, 2
What is s in -8*s**5/7 + 22*s**4/7 + 198*s**3/7 - 592*s**2/7 - 160*s/7 = 0?
-5, -1/4, 0, 4
Factor 2*d**3/3 + 4*d**2/3 - 64*d/3 - 64.
2*(d - 6)*(d + 4)**2/3
Factor -5*r**2 + 1275*r - 2530.
-5*(r - 253)*(r - 2)
Factor -2*u**2/3 - 4*u + 18.
-2*(u - 3)*(u + 9)/3
Let 4*j**2/3 + 5*j/3 + 1/3 = 0. Calculate j.
-1, -1/4
Solve -5*z**2 - 1130*z - 63845 = 0.
-113
Factor -4*o**3 + 36*o**2 - 32*o.
-4*o*(o - 8)*(o - 1)
Find p, given that -2*p**4/9 - 4*p**3 - 202*p**2/9 - 152*p/3 - 40 = 0.
-10, -3, -2
Find q, given that -219*q**2/4 + 441*q/4 - 3/2 = 0.
1/73, 2
Factor -u**2/5 - 253*u/5 + 102.
-(u - 2)*(u + 255)/5
Solve -5*j**4/2 - 75*j**3/2 + 175*j**2/2 + 75*j/2 - 85 = 0.
-17, -1, 1, 2
Factor 4*h**4 + 8*h**3 - 48*h**2 - 32*h + 128.
4*(h - 2)**2*(h + 2)*(h + 4)
Suppose -2*g**3 - 236*g**2 - 466*g - 232 = 0. What is g?
-116, -1
Find q, given that -q**3 + 7*q**2 - 10*q = 0.
0, 2, 5
Find f such that 98*f**5/17 + 2604*f**4/17 - 25192*f**3/17 - 15024*f**2/17 - 128*f = 0.
-34, -2/7, 0, 8
Let -54*r**4/11 + 144*r**2/11 - 128*r/11 + 32/11 = 0. Calculate r.
-2, 2/3
Factor -2*q**2/9 + 2*q/3 + 4.
-2*(q - 6)*(q + 3)/9
Find c, given that c**2/3 + 37*c/3 + 70/3 = 0.
-35, -2
Factor 7*i**5 - 23*i**4 + 27*i**3 - 13*i**2 + 2*i.
i*(i - 1)**3*(7*i - 2)
Factor 15*b**3 + 185*b**2 - 135*b - 65.
5*(b - 1)*(b + 13)*(3*b + 1)
Determine b so that -11*b**4/6 - 3*b**3 = 0.
-18/11, 0
Determine a so that 324*a**4 + 1224*a**3 + 1012*a**2 - 272*a + 16 = 0.
-2, 1/9
Factor 5*j**4 + 15*j**3 - 65*j**2 - 255*j - 180.
5*(j - 4)*(j + 1)*(j + 3)**2
Suppose -124*i**3 + 734*i**2/3 - 352*i/3 - 10/3 = 0. What is i?
-5/186, 1
Solve -2*w**4/7 + 6*w**2/7 + 4*w/7 = 0 for w.
-1, 0, 2
Find f, given that 5*f**5 - 3590*f**4 + 856805*f**3 - 67395600*f**2 - 137376000*f - 69120000 = 0.
-1, 240
Find f such that f**2/8 + 211*f/8 - 215/2 = 0.
-215, 4
Solve -50*c**5 + 405*c**4 - 880*c**3 + 505*c**2 + 120*c - 100 = 0.
-2/5, 1/2, 1, 2, 5
Factor -x**2/6 + 177*x - 93987/2.
-(x - 531)**2/6
Solve -63*q**2 - 439*q + 14 = 0 for q.
-7, 2/63
Factor -5*d**3/3 + 175*d**2 - 4845*d + 13005.
-5*(d - 51)**2*(d - 3)/3
Let u**4/6 + 7*u**3/3 - 17*u**2/6 - 5*u = 0. What is u?
-15, -1, 0, 2
Factor -4*t**3/7 - 40*t**2/7 - 68*t/7 + 16.
-4*(t - 1)*(t + 4)*(t + 7)/7
Suppose 2*s**2 - 30*s + 88 = 0. What is s?
4, 11
Determine v so that -v**2/5 + 3738*v/5 - 3493161/5 = 0.
1869
What is j in 11*j**4/3 + 64*j**3/3 + 109*j**2/3 + 44*j/3 - 4 = 0?
-3, -2, -1, 2/11
Factor -b**3/3 - b**2/3 + 10*b/3 - 8/3.
-(b - 2)*(b - 1)*(b + 4)/3
Let 4*v**4/7 + 172*v**3/7 + 1052*v**2/7 + 1604*v/7 + 720/7 = 0. Calculate v.
-36, -5, -1
Determine d, given that 6*d**3 - 8*d**2 - 6*d + 8 = 0.
-1, 1, 4/3
What is x in 8*x**5/9 + 62*x**4/9 + 104*x**3/9 - 62*x**2/9 - 152*x/9 + 40/9 = 0?
-5, -2, 1/4, 1
Factor 4*f**2 + 180*f - 376.
4*(f - 2)*(f + 47)
Suppose d**2/5 - 983*d/5 + 982/5 = 0. What is d?
1, 982
Let 5*b**4 + 1245*b**3 - 1270*b**2 - 4980*b + 5000 = 0. Calculate b.
-250, -2, 1, 2
Find c such that 64*c**5/3 + 584*c**4/9 + 430*c**3/9 + 5*c**2 - 32*c/9 - 4/9 = 0.
-2, -2/3, -1/2, -1/8, 1/4
Determine d so that -3*d**5 - 156*d**4 + 3630*d**3 + 7716*d**2 + 3933*d = 0.
-69, -1, 0, 19
Factor 4*u**3/7 + 516*u**2 + 3608*u/7.
4*u*(u + 1)*(u + 902)/7
Find z such that 2*z**3/3 - 458*z**2 + 79344*z - 233928 = 0.
3, 342
Suppose -2*l**5/11 + 40*l**4/11 + 8*l**3 = 0. Calculate l.
-2, 0, 22
Find r, given that -2*r**5/19 + 20*r**4/19 + 294*r**3/19 + 880*r**2/19 + 32*r = 0.
-4, -1, 0, 19
Find p such that 3*p**2/5 - 15*p - 672/5 = 0.
-7, 32
Let 50*l**5/3 + 230*l**4/3 + 24*l**3 - 824*l**2/3 - 1088*l/3 - 128 = 0. What is l?
-3, -2, -4/5, 2
Solve 2*b**2/15 - 6*b = 0 for b.
0, 45
Factor -z**5/7 + 44*z**4/7 - 43*z**3/7.
-z**3*(z - 43)*(z - 1)/7
Find k, given that -k**3/6 - 19*k**2/3 - 347*k/6 - 455/3 = 0.
-26, -7, -5
Suppose -75*d**2 - 65*d + 10 = 0. Calculate d.
-1, 2/15
Let -2*m**2/7 + 170*m/7 - 3572/7 = 0. Calculate m.
38, 47
Solve -2*k**3/3 + 20*k**2/3 - 22*k + 24 = 0.
3, 4
Suppose -4*b**3/3 - 15*b**2 + 49*b - 98/3 = 0. Calculate b.
-14, 1, 7/4
Solve -j**2/4 - 5*j - 9 = 0.
-18, -2
What is c in 10*c**5 - 124*c**4 - 742*c**3 + 2536*c**2 + 1992*c - 1152 = 0?
-6, -1, 2/5, 3, 16
Suppose -2*a**2/11 - 72*a/11 - 136/11 = 0. What is a?
-34, -2
Let 4*v**5 - 8*v**4 - 72*v**3 + 144*v**2 + 324*v - 648 = 0. Calculate v.
-3, 2, 3
Factor -3*z**2 - 324*z - 8748.
-3*(z + 54)**2
Let 5*j**5 - 30*j**4 + 160*j**2 = 0. Calculate j.
-2, 0, 4
Factor -i**2/7 - 46*i/7 - 240/7.
-(i + 6)*(i + 40)/7
Factor 2*f**2/7 + 76*f/7 - 78/7.
2*(f - 1)*(f + 39)/7
Factor -25*l**3 + 15*l**2 + 90*l - 80.
-5*(l - 1)*(l + 2)*(5*l - 8)
Factor -5*z**3/2 - 8*z**2/3 + 89*z/6 + 1.
-(z - 2)*(z + 3)*(15*z + 1)/6
Determine p so that -5*p**3 - 550*p**2 - 15660*p - 29160 = 0.
-54, -2
Factor -2*y**3 + 22*y**2 + 28*y - 48.
-2*(y - 12)*(y - 1)*(y + 2)
Factor -n**4 + 13*n**3 - 60*n**2 + 116*n - 80.
-(n - 5)*(n - 4)*(n - 2)**2
Suppose -5*k**5 + 20*k**4 - 20*k**3 - 10*k**2 + 25*k - 10 = 0. What is k?
-1, 1, 2
Factor 4*c**2/5 - 496*c/5 + 15376/5.
4*(c - 62)**2/5
Factor 5*l**4 - 780*l**3.
5*l**3*(l - 156)
Let -2*p**5 + 6*p**3 + 4*p**2 = 0. Calculate p.
-1, 0, 2
Factor -2*t**5/7 + 36*t**3/7 - 162*t/7.
-2*t*(t - 3)**2*(t + 3)**2/7
Find s such that -2*s**2/15 + 178*s/15 + 364/15 = 0.
-2, 91
Suppose 8*u**5/5 + 426*u**4/5 + 6306*u**3/5 + 3310*u**2 + 750*u = 0. What is u?
-25, -3, -1/4, 0
Determine x so that -3*x**3 + 189*x**2 - 798*x - 4176 = 0.
-3, 8, 58
Solve 2*q**2/15 - 14*q/15 = 0 for q.
0, 7
Let 7*i**5/5 - 9*i**4/5 - 19*i**3/5 + 41*i**2/5 - 24*i/5 + 4/5 = 0. Calculate i.
-2, 2/7, 1
Solve -3*j**4 + 24*j**3 - 15*j**2 - 150*j = 0 for j.
-2, 0, 5
Let -17*g**3/4 + 83*g**2/4 + 5*g/2 = 0. Calculate g.
-2/17, 0, 5
Wh