 0, 1, 4
Determine p, given that -p**5/5 + 4*p**4/5 - p**3 + 2*p**2/5 = 0.
0, 1, 2
Factor 2*l**2/17 - 84*l/17.
2*l*(l - 42)/17
Let 5*z**5 + 5*z**4 - 10*z**3 - 10*z**2 + 5*z + 5 = 0. What is z?
-1, 1
Factor -2*h**3 + 352*h**2 - 350*h.
-2*h*(h - 175)*(h - 1)
Let 2*q**5/9 + 20*q**4/3 + 34*q**3 + 440*q**2/9 + 64*q/3 = 0. What is q?
-24, -4, -1, 0
Factor -4*b**3 - 40*b**2 + 384*b.
-4*b*(b - 6)*(b + 16)
Factor 7*a**4/5 - 3*a**3/5.
a**3*(7*a - 3)/5
Factor -l**5/6 - 1111*l**4/6 - 412915*l**3/6 - 17293923*l**2/2 - 33767928*l - 33495606.
-(l + 2)**2*(l + 369)**3/6
Determine l so that 3*l**3/4 + 63*l**2/4 - 3*l/4 - 63/4 = 0.
-21, -1, 1
What is p in 63*p**4/5 + 2357*p**3 - 4614*p**2 - 452*p + 1512/5 = 0?
-189, -2/7, 2/9, 2
Factor -r**3/2 + 2*r**2 - r/2 - 3.
-(r - 3)*(r - 2)*(r + 1)/2
Solve -3*i**5 - 31*i**4 - 91*i**3 - 81*i**2 - 18*i = 0.
-6, -3, -1, -1/3, 0
Factor g**4 - g**3.
g**3*(g - 1)
Find d, given that 12*d**5 - 62*d**4 - 2*d**3 + 62*d**2 - 10*d = 0.
-1, 0, 1/6, 1, 5
Factor 2*h**2/13 + 2148*h/13 + 576738/13.
2*(h + 537)**2/13
Factor -2*f**4/7 + 38*f**3/7 + 40*f**2/7.
-2*f**2*(f - 20)*(f + 1)/7
Factor 4*b**3 - 188*b**2 + 700*b - 516.
4*(b - 43)*(b - 3)*(b - 1)
Factor -2*n**2/3 + 26*n/3 - 28.
-2*(n - 7)*(n - 6)/3
Factor 2*t**3 - 32*t**2 + 138*t - 108.
2*(t - 9)*(t - 6)*(t - 1)
Let 15*y**4/2 + 111*y**3/2 + 207*y**2/2 + 141*y/2 + 15 = 0. Calculate y.
-5, -1, -2/5
Factor -4*u**3 - 512*u**2 + 2644*u - 2128.
-4*(u - 4)*(u - 1)*(u + 133)
Suppose 3*v**5/5 - 3*v**4/5 - 33*v**3 - 21*v**2 + 702*v/5 - 432/5 = 0. What is v?
-6, -3, 1, 8
Solve -2*t**3/17 - 684*t**2/17 - 58482*t/17 = 0.
-171, 0
Factor -2*f**2 - 8*f + 90.
-2*(f - 5)*(f + 9)
Factor -f**2 + 142*f/3 + 32.
-(f - 48)*(3*f + 2)/3
Determine m, given that 2*m**5/5 + 616*m**4/5 - 2488*m**3/5 + 2496*m**2/5 = 0.
-312, 0, 2
Factor -3*w**3/7 + 1629*w**2/7 - 220320*w/7 - 221952/7.
-3*(w - 272)**2*(w + 1)/7
Factor -o**2 + 63*o + 64.
-(o - 64)*(o + 1)
Factor n**5 - 2*n**4 - 17*n**3 + 70*n**2 - 92*n + 40.
(n - 2)**3*(n - 1)*(n + 5)
Factor 3*h**4 + 225*h**3 + 16419*h**2/4 - 4275*h + 1083.
3*(h + 38)**2*(2*h - 1)**2/4
Suppose -d**4/4 + d**3/4 + 2*d**2 - 3*d = 0. What is d?
-3, 0, 2
Factor -2*r**4 + 16*r**2 - 32.
-2*(r - 2)**2*(r + 2)**2
Let -3*r**5/4 - 27*r**4 - 603*r**3/4 + 3225*r**2/2 - 3717*r + 2646 = 0. Calculate r.
-21, 2
What is l in -2*l**4/11 + 94*l**3/11 - 478*l**2/11 - 574*l/11 = 0?
-1, 0, 7, 41
Solve -16*g**3/5 + 148*g**2/5 - 80*g + 336/5 = 0.
2, 21/4
Factor -p**2/4 - 89*p/4.
-p*(p + 89)/4
Suppose 4*s**5/9 + 32*s**4/9 - 4*s**3 - 800*s**2/9 - 1600*s/9 = 0. Calculate s.
-5, -4, 0, 5
Determine v, given that -40*v**3 - 194*v**2 + 34*v + 20 = 0.
-5, -1/4, 2/5
Determine l so that 5*l**5 - 180*l**4 + 1785*l**3 - 2890*l**2 = 0.
0, 2, 17
Suppose -2*d**4/11 + 236*d**3/11 - 8594*d**2/11 + 96288*d/11 - 332928/11 = 0. What is d?
8, 51
Factor 5*w**3 - 40*w**2 + 85*w - 50.
5*(w - 5)*(w - 2)*(w - 1)
Factor 3*y**4 - 306*y**3 + 10404*y**2 - 117912*y.
3*y*(y - 34)**3
Suppose 36*f**3/5 - 64*f**2/5 - 304*f/5 - 64/5 = 0. Calculate f.
-2, -2/9, 4
Factor -p**2 + 2536*p + 5076.
-(p - 2538)*(p + 2)
Let n**4 + 26*n**3 - 111*n**2 - 3640*n + 19600 = 0. Calculate n.
-20, 7
Factor -2*i**3 + 2282*i**2 - 2280*i.
-2*i*(i - 1140)*(i - 1)
Factor -2*r**5/9 + 4*r**3/9 - 2*r/9.
-2*r*(r - 1)**2*(r + 1)**2/9
Determine a, given that 4*a**3/5 + 12*a**2/5 - 24*a/5 - 32/5 = 0.
-4, -1, 2
Factor o**4/4 + 29*o**3/4.
o**3*(o + 29)/4
Factor -4*n**4 - 20*n**3 + 4*n**2 + 68*n - 48.
-4*(n - 1)**2*(n + 3)*(n + 4)
Find w, given that w**3 + 29*w**2 + 224*w + 196 = 0.
-14, -1
Find i, given that -i**3 - 316*i**2 + 635*i - 318 = 0.
-318, 1
Suppose 3*i**2/2 + 39*i + 399/2 = 0. Calculate i.
-19, -7
Find c such that 4326*c**2/13 + 4*c/13 = 0.
-2/2163, 0
Factor i**5/8 + 3*i**4/4 + 3*i**3/2 + 5*i**2/4 + 3*i/8.
i*(i + 1)**3*(i + 3)/8
Factor 4*z**2/5 - 1064*z/5 - 1068/5.
4*(z - 267)*(z + 1)/5
Find i, given that -8*i**2 - 116*i + 420 = 0.
-35/2, 3
Factor -2*b**2 + 620*b - 1842.
-2*(b - 307)*(b - 3)
Solve 3*b**5 + 81*b**4 - 261*b**3 + 267*b**2 - 90*b = 0 for b.
-30, 0, 1
Suppose -3*y**5 - 54*y**4 - 204*y**3 - 90*y**2 + 351*y = 0. What is y?
-13, -3, 0, 1
Determine o, given that -2*o**4 + 4*o**3 + 98*o**2 - 4*o - 96 = 0.
-6, -1, 1, 8
Find c such that 6*c**5/7 - 10*c**4/7 - 2*c**3/7 + 10*c**2/7 - 4*c/7 = 0.
-1, 0, 2/3, 1
Factor 5*z**4 + 5*z**3 - 60*z**2 - 140*z - 80.
5*(z - 4)*(z + 1)*(z + 2)**2
Suppose d**5/3 - 47*d**4 + 6476*d**3/3 - 29760*d**2 - 119808*d + 147456 = 0. What is d?
-4, 1, 48
Determine m, given that m**2 + 1406*m + 494209 = 0.
-703
Determine t, given that -t**2 - 324*t + 325 = 0.
-325, 1
Find m such that -5*m**3 - 60*m**2 + 135*m - 70 = 0.
-14, 1
Factor -2*s**5 + 4*s**4 + 16*s**3 - 32*s**2 - 32*s + 64.
-2*(s - 2)**3*(s + 2)**2
Suppose -4*x**3/3 - 20*x**2/3 + 128*x/3 - 48 = 0. What is x?
-9, 2
Solve v**3 + 14*v**2 + 60*v + 72 = 0 for v.
-6, -2
Suppose -3*d**3/5 - 1152*d**2/5 - 110592*d/5 = 0. What is d?
-192, 0
Find z such that -28*z**4 + 208*z**3 - 84*z**2 = 0.
0, 3/7, 7
What is l in -3*l**4/7 - 2076*l**3/7 - 357066*l**2/7 + 720372*l/7 - 361227/7 = 0?
-347, 1
Factor 2*y**3 + 1326*y**2 + 3952*y - 5280.
2*(y - 1)*(y + 4)*(y + 660)
Let -w**3/4 - 23*w**2/4 - 38*w - 55 = 0. What is w?
-11, -10, -2
Factor -3*a**3/5 - 24*a**2 + 249*a/5 - 126/5.
-3*(a - 1)**2*(a + 42)/5
Suppose 5*h**4 + 5*h**3 - 50*h**2 - 20*h + 120 = 0. What is h?
-3, -2, 2
Factor 2*y**3/5 - 16*y**2/5 + 38*y/5 - 24/5.
2*(y - 4)*(y - 3)*(y - 1)/5
Determine n, given that 4*n**2 - 4240*n + 1123600 = 0.
530
Factor 2*u**2/11 + 8764*u/11 + 9600962/11.
2*(u + 2191)**2/11
Find k, given that 11*k**5/5 - 40*k**4 + 223*k**3/5 - 34*k**2/5 = 0.
0, 2/11, 1, 17
Find y such that 4*y**4 - 26*y**3/7 - 58*y**2/7 - 4*y/7 = 0.
-1, -1/14, 0, 2
Factor n**3 + 198*n**2 - 399*n + 200.
(n - 1)**2*(n + 200)
Factor -4*u**3 - 24*u**2 - 36*u - 16.
-4*(u + 1)**2*(u + 4)
Suppose -h**3 + h**2 + 2*h = 0. What is h?
-1, 0, 2
What is h in -28*h**3 + 124*h**2 - 48*h = 0?
0, 3/7, 4
Factor -3*o**3 + 525*o**2 + 1059*o + 531.
-3*(o - 177)*(o + 1)**2
What is t in 4*t**5 - 28*t**4 + 36*t**3 + 108*t**2 - 216*t = 0?
-2, 0, 3
Determine f, given that 9*f**3 - 458*f**2 + 841*f - 392 = 0.
8/9, 1, 49
Determine w so that -6*w**2/11 + 8160*w/11 - 8154/11 = 0.
1, 1359
Factor 4*y**2 + 37*y/5 + 3.
(4*y + 5)*(5*y + 3)/5
Let 2*k**3 + 332*k**2 + 3950*k - 4284 = 0. What is k?
-153, -14, 1
Factor a**3/4 + 89*a**2/2 + 1041*a/4 + 387.
(a + 3)**2*(a + 172)/4
Find u such that -18*u**4/11 + 54*u**3/11 + 14*u**2/11 - 38*u/11 - 12/11 = 0.
-2/3, -1/3, 1, 3
Factor 3*b**3 + 26925*b**2.
3*b**2*(b + 8975)
Find x, given that -2*x**4 - 80*x**3 - 144*x**2 + 320*x + 608 = 0.
-38, -2, 2
Let -3*z**2 - 117*z - 222 = 0. What is z?
-37, -2
Factor -b**2/4 + 1181*b - 1394761.
-(b - 2362)**2/4
What is z in z**2/2 + 85*z + 501/2 = 0?
-167, -3
Determine d, given that -4*d**5/3 + 28*d**4/3 + 28*d**3 - 92*d**2/3 - 160*d/3 + 48 = 0.
-2, 1, 9
Let 2*r**5 + 22*r**4 + 70*r**3 + 50*r**2 = 0. What is r?
-5, -1, 0
Determine s, given that 3*s**2 + 4821*s = 0.
-1607, 0
Factor 2*s**2/3 - 2*s - 608/3.
2*(s - 19)*(s + 16)/3
What is q in 3*q**5/5 + 258*q**4/5 - 2478*q**3/5 + 8148*q**2/5 - 11061*q/5 + 1026 = 0?
-95, 1, 2, 3
Factor -4*v**2 + 26948*v.
-4*v*(v - 6737)
Solve a**4/8 - 113*a**3/8 + 2109*a**2/4 - 12635*a/2 - 6859 = 0 for a.
-1, 38
Let -5*j**4/2 - 435*j**3/2 + 675*j**2 - 10*j - 900 = 0. What is j?
-90, -1, 2
Solve -3*k**4 - 42*k**3 + 975*k**2 + 1014*k = 0.
-26, -1, 0, 13
Factor -2*q**2/3 + 38*q/3.
-2*q*(q - 19)/3
Factor p**5 + 46*p**4 - 246*p**3 + 452*p**2 - 355*p + 102.
(p - 2)*(p - 1)**3*(p + 51)
Let -c**2/2 + 13*c/2 + 15 = 0. Calculate c.
-2, 15
Let -y**4/9 + 5*y**3 - 27*y**2 + 355*y/9 - 52/3 = 0. Calculate y.
1, 4, 39
Factor 2*j**3/9 - 4*j**2/9 - 2*j/3.
2*j*(j - 3)*(j + 1)/9
Factor 3*t**5/4 - 63*t**4/4 + 96*t**3 - 258*t**2 + 324*t - 156.
3*(t - 13)*(t - 2)**4/4
Find r such that -5*r**4 + 60*r**2 + 80*r = 0.
-2, 0, 4
Find m such that -15*m**2/2 + 16*m - 2 = 0.
2/15, 2
Determine k so that -4*k**5/3 - 16*k**4/3 + 76*k**3/3 + 280*k**2/3 - 128*k - 384 = 0.
-4, -2, 3
Determine j, given that 10*j**4 + 196*j**3 + 710*j**2 + 284*j - 240 = 0.
-15, -4, -1, 2/5
What is a in -5*a**4 - 95*a**3 - 360*a**2 + 2240*a + 12800 = 0?
-8, 5
Factor -1251*v**3/2 - 1248*v**2 + 6*v.
-3*v*(v + 2)*(417*v - 2)/2
