9)/11
Factor -3*q**3/4 - 819*q**2/4.
-3*q**2*(q + 273)/4
Factor -4*y**2 - 148*y - 640.
-4*(y + 5)*(y + 32)
Solve k**3 + 63*k**2 - 66*k - 128 = 0 for k.
-64, -1, 2
Let -f**2/4 + 25*f/2 = 0. Calculate f.
0, 50
What is r in 2*r**3 + 74*r**2 + 646*r - 722 = 0?
-19, 1
Factor 39*c**4 + 162*c**3 + 180*c**2 + 24*c.
3*c*(c + 2)**2*(13*c + 2)
Factor -o**4 + 14*o**3 - 35*o**2 + 22*o.
-o*(o - 11)*(o - 2)*(o - 1)
Factor -2*t**3 - 26*t**2 - 24*t.
-2*t*(t + 1)*(t + 12)
Determine s so that s**5/5 - s**4/5 - 4*s**3/5 + 4*s**2/5 = 0.
-2, 0, 1, 2
Solve -b**2 - 35*b + 74 = 0 for b.
-37, 2
Find l such that -14*l**3/19 + 12100*l**2/19 - 39618*l/19 + 10332/19 = 0.
2/7, 3, 861
Factor 4802*r**3/5 - 38808*r**2/5 + 3144*r/5 - 64/5.
2*(r - 8)*(49*r - 2)**2/5
Let -h**3/8 + 13*h**2/8 - 5*h + 9/2 = 0. What is h?
2, 9
Factor 4*w**4/5 - 84*w**3/5 - 112*w**2/5 + 528*w/5.
4*w*(w - 22)*(w - 2)*(w + 3)/5
Suppose g**5/3 - 4*g**4/3 - 4*g**3 - 2*g**2/3 + 11*g/3 + 2 = 0. Calculate g.
-1, 1, 6
Solve -d**3/2 + 67*d**2/2 + 34*d = 0.
-1, 0, 68
What is k in k**3/2 - 255*k**2 - 512*k = 0?
-2, 0, 512
Determine f so that 5*f**3 + 175*f**2 - 180*f = 0.
-36, 0, 1
Determine v so that -v**2/8 - 167*v/8 = 0.
-167, 0
Factor -v**4/6 + 587*v**3/6 + 589*v**2/2 + 1769*v/6 + 295/3.
-(v - 590)*(v + 1)**3/6
Factor -3*b**3 - 21*b**2 + 1020*b - 1932.
-3*(b - 14)*(b - 2)*(b + 23)
Factor -5*h**5 + 235*h**4.
-5*h**4*(h - 47)
Suppose 14*c**5/11 - 16*c**4 + 146*c**3/11 + 2784*c**2/11 + 1152*c/11 = 0. Calculate c.
-3, -3/7, 0, 8
Find q such that q**3 + 581*q**2/4 + 71*q/2 - 435/4 = 0.
-145, -1, 3/4
Factor 5*w**3 - 170*w**2 + 615*w - 450.
5*(w - 30)*(w - 3)*(w - 1)
Factor o**5/5 + 6*o**4/5 - 22*o**2/5 + 3*o.
o*(o - 1)**2*(o + 3)*(o + 5)/5
Suppose -4*r**5 + 5*r**4 + 3*r**3 - 5*r**2 + r = 0. What is r?
-1, 0, 1/4, 1
Let -5*c**4 + 10*c**3 + 15*c**2 - 20*c - 20 = 0. What is c?
-1, 2
Factor c**2 - 12*c + 27.
(c - 9)*(c - 3)
What is u in -20*u**2/7 - 38*u/7 - 18/7 = 0?
-1, -9/10
Let t**3 + 9*t**2 + 8*t = 0. What is t?
-8, -1, 0
Solve 2*j**5 + 8*j**4 - 234*j**3 = 0.
-13, 0, 9
Let -2*x**2 + 138*x - 136 = 0. Calculate x.
1, 68
Factor -i**4/3 - 37*i**3/3 - 160*i**2/3.
-i**2*(i + 5)*(i + 32)/3
Let 2*v**3/11 - 2*v**2 - 52*v/11 = 0. Calculate v.
-2, 0, 13
Suppose 4*o**2 + 16*o + 16 = 0. What is o?
-2
Let -w**3/2 + w**2/2 = 0. What is w?
0, 1
Let -78*s**2 + 94*s - 16 = 0. Calculate s.
8/39, 1
Solve -5*r**2 + 2230*r - 248645 = 0.
223
Factor y**4 + 6*y**3 - y**2 - 6*y.
y*(y - 1)*(y + 1)*(y + 6)
Factor -6*i**3 + 219*i**2 - 108*i.
-3*i*(i - 36)*(2*i - 1)
Find s, given that 2*s**5/15 + 82*s**4/15 + 190*s**3/3 + 722*s**2/5 = 0.
-19, -3, 0
What is l in -5*l**2 - 40*l - 35 = 0?
-7, -1
Solve q**5 + 2*q**4 - 18*q**3 + 32*q**2 - 23*q + 6 = 0 for q.
-6, 1
What is v in -v**4 - 608*v**3 + 611*v**2 + 1218*v = 0?
-609, -1, 0, 2
Suppose -w**3/5 + w**2 - 2*w/5 - 8/5 = 0. Calculate w.
-1, 2, 4
Factor -s**2 + 97*s - 96.
-(s - 96)*(s - 1)
Factor -4*v**3 - 860*v**2 - 53312*v - 729904.
-4*(v + 19)*(v + 98)**2
Let -4*n**3 - 184*n**2 - 2116*n = 0. What is n?
-23, 0
Determine i so that 3*i**5/2 + 9*i**4/2 - 51*i**3/2 - 45*i**2/2 + 132*i - 90 = 0.
-5, -3, 1, 2
Determine s, given that 2*s**3 + 116*s**2 + 224*s = 0.
-56, -2, 0
Let -4*s**4 - 88*s**3 - 80*s**2 + 88*s + 84 = 0. What is s?
-21, -1, 1
Factor 5*v**5 + 10*v**4 - 25*v**3 - 30*v**2.
5*v**2*(v - 2)*(v + 1)*(v + 3)
Factor -2*d**2 - 16*d + 66.
-2*(d - 3)*(d + 11)
Determine s, given that -45118016*s**5/11 - 33078096*s**4/11 + 11845544*s**3/11 - 193300*s**2/11 + 1074*s/11 - 2/11 = 0.
-1, 1/178, 1/4
Solve 3*y**4/7 + 30*y**3/7 + 27*y**2/7 = 0 for y.
-9, -1, 0
Determine k, given that 27*k**5 - 819*k**4 - 582*k**3 + 726*k**2 + 555*k + 93 = 0.
-1, -1/3, 1, 31
Let 2*n**2/5 - 238*n/5 = 0. Calculate n.
0, 119
Factor -4*q**5 - 16*q**4 - 20*q**3 - 8*q**2.
-4*q**2*(q + 1)**2*(q + 2)
Factor -2*s**2/9 - 8*s/3 + 56/9.
-2*(s - 2)*(s + 14)/9
Let -q**3/3 - 731*q**2 = 0. What is q?
-2193, 0
Let -k**2 - 9*k - 20 = 0. What is k?
-5, -4
Determine u, given that -3*u**2/2 - 159*u/2 - 294 = 0.
-49, -4
Factor -5*c**3 + 2260*c**2 - 259840*c + 1003520.
-5*(c - 224)**2*(c - 4)
Factor 2*y**2 - 14*y - 36.
2*(y - 9)*(y + 2)
Factor -2*d**2/15 - 14*d/15 - 4/5.
-2*(d + 1)*(d + 6)/15
Factor -2*c**2/11 - 192*c/11 - 4608/11.
-2*(c + 48)**2/11
What is c in -c**2/5 - 11*c/5 + 26/5 = 0?
-13, 2
Factor 2*o**3/5 + 48*o**2/5 - 158*o/5 + 108/5.
2*(o - 2)*(o - 1)*(o + 27)/5
Factor -3*p**4 + 57*p**3 - 360*p**2 + 852*p - 672.
-3*(p - 8)*(p - 7)*(p - 2)**2
Determine a, given that 2*a**5/7 - 4*a**4/7 - 30*a**3/7 - 8*a**2/7 + 40*a/7 = 0.
-2, 0, 1, 5
Determine u so that 2*u**5/11 - 18*u**4/11 + 30*u**3/11 + 50*u**2/11 = 0.
-1, 0, 5
Let -4*v**2 - 584*v - 21316 = 0. Calculate v.
-73
Determine w so that w**4 + 2*w**3 - 19*w**2 + 28*w - 12 = 0.
-6, 1, 2
Factor 5*w**5 + 15*w**4 - 90*w**3 - 160*w**2 + 480*w.
5*w*(w - 3)*(w - 2)*(w + 4)**2
What is t in -5*t**3 - 83*t**2 - 123*t - 45 = 0?
-15, -1, -3/5
What is g in -g**5/3 - 6*g**4 = 0?
-18, 0
Factor -3*o**4 + 12*o**3 + 3*o**2 - 12*o.
-3*o*(o - 4)*(o - 1)*(o + 1)
Determine k, given that 2*k**5/3 + 32*k**4/3 - 34*k**3/3 = 0.
-17, 0, 1
Factor q**2/3 + 4*q/3 - 4.
(q - 2)*(q + 6)/3
Factor -c**4/2 + 21*c**2/2 + 10*c.
-c*(c - 5)*(c + 1)*(c + 4)/2
Solve 4*c**3 - 8*c**2 - 12*c = 0.
-1, 0, 3
Solve 3*v**5/5 - 21*v**4/5 - 9*v**3/5 + 129*v**2/5 + 186*v/5 + 72/5 = 0.
-1, 4, 6
Factor 2*r**2/9 - 32/9.
2*(r - 4)*(r + 4)/9
Factor -g**4 + 12*g**3 + g**2 - 12*g.
-g*(g - 12)*(g - 1)*(g + 1)
Suppose -f**3/2 - 285*f**2/2 + 1164*f - 2344 = 0. What is f?
-293, 4
What is y in -2*y**2 + 4*y = 0?
0, 2
Factor -2*x**3/11 + 12*x**2 + 270*x/11 + 136/11.
-2*(x - 68)*(x + 1)**2/11
Let -4*l**4 - 88*l**3 + 92*l**2 = 0. What is l?
-23, 0, 1
Factor 2*m**5 - 2*m**3.
2*m**3*(m - 1)*(m + 1)
Find d, given that 5*d**2 - 30*d + 25 = 0.
1, 5
Factor 3*k**5 + 9*k**4 + 9*k**3 + 3*k**2.
3*k**2*(k + 1)**3
Factor -i**2/4 + 6*i - 32.
-(i - 16)*(i - 8)/4
Let -6*d**2/7 - 3*d + 27/7 = 0. What is d?
-9/2, 1
Solve 3*y**3 - 711*y**2 + 41769*y + 42483 = 0.
-1, 119
Let 3*z**4/5 + 15*z**3 - 183*z**2/5 - 579*z/5 - 324/5 = 0. Calculate z.
-27, -1, 4
Solve -3*x**4 + 102*x**3 - 531*x**2 + 756*x = 0.
0, 3, 28
Determine v so that 5*v**3 - 740*v**2 - 1500*v = 0.
-2, 0, 150
Factor -5*i**5 + 40*i**4 - 125*i**3 + 190*i**2 - 140*i + 40.
-5*(i - 2)**3*(i - 1)**2
Factor 4*s**4 + 296*s**3 - 16*s**2 - 1184*s.
4*s*(s - 2)*(s + 2)*(s + 74)
Factor 25*s**5/3 + 170*s**4/3 + 424*s**3/3 + 464*s**2/3 + 208*s/3 + 32/3.
(s + 2)**3*(5*s + 2)**2/3
Suppose a**4 + 18*a**3 - 135*a**2 + 216*a = 0. Calculate a.
-24, 0, 3
Factor 5*p**4 - 10*p**3 - 320*p**2 + 1450*p - 1125.
5*(p - 5)**2*(p - 1)*(p + 9)
Solve -3*b**4 + 78*b**3 - 315*b**2 - 2700*b = 0.
-4, 0, 15
Factor -3*c**2/5 - 24*c - 228/5.
-3*(c + 2)*(c + 38)/5
Factor -b**5 - 6*b**4 + 36*b**3 - 40*b**2.
-b**2*(b - 2)**2*(b + 10)
Find o, given that 2*o**4/7 + 54*o**3/7 - 8*o**2 = 0.
-28, 0, 1
Factor -2*m**2/9 + 1420*m/9.
-2*m*(m - 710)/9
Determine m so that 4*m**2/3 + 16*m/3 + 4 = 0.
-3, -1
Factor -2*v**2 + 1316*v.
-2*v*(v - 658)
Let -5*y**3 - 10*y**2 + 40*y = 0. Calculate y.
-4, 0, 2
Suppose y**3 - 2*y**2 - 13*y - 10 = 0. What is y?
-2, -1, 5
Let g**4/2 + 64*g**3 + 3072*g**2 + 65536*g + 524288 = 0. Calculate g.
-32
What is p in 17496*p**4 - 3645*p**3 - 7614*p**2 - 2076*p - 168 = 0?
-2/9, 7/8
Factor -15*y**4 - 10*y**3 + 5*y**2.
-5*y**2*(y + 1)*(3*y - 1)
What is j in j**2/2 - 123*j/2 = 0?
0, 123
Factor -5*o**2 - 90*o - 225.
-5*(o + 3)*(o + 15)
Suppose i**2 + 1263*i + 1262 = 0. What is i?
-1262, -1
Factor -15*w**5 + 96*w**4 - 216*w**3 + 192*w**2 - 48*w.
-3*w*(w - 2)**3*(5*w - 2)
What is m in -m**5/4 - 21*m**4/4 + m**3/4 + 21*m**2/4 = 0?
-21, -1, 0, 1
Determine d so that d**4/4 + 13*d**3/4 + 33*d**2/4 + 31*d/4 + 5/2 = 0.
-10, -1
Factor 3*w**4 - 9*w**3 - 54*w**2 + 120*w.
3*w*(w - 5)*(w - 2)*(w + 4)
Factor -2*m**2/5 + 8*m/5 - 8/5.
-2*(m - 2)**2/5
Determine y so that -5*y**4 - 40*y**3 + 1205*y**2 + 40*y - 1200 = 0.
-20, -1, 1, 12
Factor 2*x**2/3 - 10*x/3 + 8/3.
2*(x - 4)*(x - 1)/3
Factor -4*c**2 + 4660*c + 4664.
-4*(c - 1166)*(c + 1)
Suppose 2*s**4/9 + 56*s**3/9 + 488*s**2/9 + 448*s/3 + 128 = 0. What is s?
-12, -2
Let 12*k**5 + 74*k**4 - 1608*k**3 - 15438*k**2 - 32480*k - 4992 = 0. What is k?
-8, -3, -1/6, 13
Suppose -2*f**3/5 + 16*f**2/5 + 198*f + 972