.
-933, -1/4
Determine r, given that 3*r**4 + 42*r**3 - 3*r**2 - 42*r = 0.
-14, -1, 0, 1
Suppose 20*x**5/3 - 76*x**4/3 - 44*x**3 + 604*x**2/3 - 608*x/3 + 64 = 0. What is x?
-3, 4/5, 1, 4
Find k such that -3*k**4/4 + 1833*k**3 - 3359889*k**2/2 + 684297393*k - 418105707123/4 = 0.
611
Factor -11*k**3/8 + 3*k**2 - 15*k/8 + 1/4.
-(k - 1)**2*(11*k - 2)/8
Suppose -250*k**5/3 - 18400*k**4/3 + 8730*k**3 - 4556*k**2/3 - 4184*k/3 + 400 = 0. Calculate k.
-75, -2/5, 2/5, 1
Solve y**2/2 - 64*y + 375/2 = 0 for y.
3, 125
Factor o**2 + 700*o + 122500.
(o + 350)**2
Factor 3*n**3 + 69*n**2 + 429*n + 363.
3*(n + 1)*(n + 11)**2
Factor -b**3/12 - b**2/4 + 11*b/6 + 2.
-(b - 4)*(b + 1)*(b + 6)/12
Let -2*u**5/7 + 4*u**4 - 24*u**3/7 - 4*u**2 + 26*u/7 = 0. What is u?
-1, 0, 1, 13
Determine z, given that 2*z**4 + 26*z**3/5 + 22*z**2/5 + 6*z/5 = 0.
-1, -3/5, 0
Let -l**4 - 35*l**3/3 - 92*l**2/3 + 28*l + 48 = 0. Calculate l.
-6, -1, 4/3
Determine g so that 20*g**5 + 76*g**4 - 76*g**3 - 268*g**2 - 104*g + 32 = 0.
-4, -1, 1/5, 2
Suppose 2*a**3 + 20*a**2 - 64*a - 192 = 0. Calculate a.
-12, -2, 4
Factor -m**4/2 - 206*m**3 - 28359*m**2 - 1313830*m - 2571353/2.
-(m + 1)*(m + 137)**3/2
Factor 3*k**3 + 84*k**2 - 633*k - 714.
3*(k - 7)*(k + 1)*(k + 34)
Factor -q**3/2 - 65*q**2/2 + 273*q/2 - 207/2.
-(q - 3)*(q - 1)*(q + 69)/2
Solve -w**2 + 170*w - 7225 = 0 for w.
85
Determine s, given that 6*s**4 + 16*s**3 - 6*s**2 - 24*s + 8 = 0.
-2, 1/3, 1
Factor 2*f**3 + 96*f**2/7.
2*f**2*(7*f + 48)/7
Factor -c**3/3 - 193*c**2/3 + 389*c/3 - 65.
-(c - 1)**2*(c + 195)/3
Factor -15*z**2/2 - 147*z + 60.
-3*(z + 20)*(5*z - 2)/2
Suppose 2*o**5 + 320*o**4 + 16850*o**3 + 280260*o**2 - 612360*o + 314928 = 0. What is o?
-54, 1
Determine b, given that -4*b**4/3 - 16*b**3/3 + 52*b**2/3 + 160*b/3 - 64 = 0.
-4, 1, 3
Let -2*t**5 + 8*t**4 - 12*t**3 + 8*t**2 - 2*t = 0. Calculate t.
0, 1
Find m, given that -63*m**3/8 + 417*m**2/8 + 45*m/2 - 21/2 = 0.
-2/3, 2/7, 7
Factor 2*f**4/5 + 428*f**3/5 + 22466*f**2/5 - 46224*f/5 + 23328/5.
2*(f - 1)**2*(f + 108)**2/5
Find n, given that 3*n**2 + 2337*n + 2334 = 0.
-778, -1
What is c in 2*c**4/3 - 44*c**3/3 - 206*c**2/3 - 64*c/3 + 104 = 0?
-3, -2, 1, 26
What is m in -m**5 + 9*m**4 + 49*m**3 + 43*m**2 - 48*m - 52 = 0?
-2, -1, 1, 13
Factor 2*c**3/7 + 46*c**2/7 + 286*c/7 + 242/7.
2*(c + 1)*(c + 11)**2/7
Let 3*a**3 + 27*a**2 - 756*a = 0. Calculate a.
-21, 0, 12
Factor -5*p**2 + 11385*p.
-5*p*(p - 2277)
Find s, given that 39*s**5 - 202*s**4 + 306*s**3 - 156*s**2 + 7*s + 6 = 0.
-2/13, 1/3, 1, 3
Factor -2*a**3/9 - 236*a**2/9 + 490*a/3 - 248.
-2*(a - 3)**2*(a + 124)/9
Find y, given that 5*y**5 + 145*y**4 - 465*y**3 + 475*y**2 - 160*y = 0.
-32, 0, 1
Determine m, given that 5*m**3 + 110*m**2 + 620*m + 840 = 0.
-14, -6, -2
Solve 6*j**5 - 33*j**4 + 6*j**3 + 48*j**2 - 12*j - 15 = 0 for j.
-1, -1/2, 1, 5
Factor 4*p**4/5 - 4*p**3 + 4*p**2/5 + 84*p/5 - 72/5.
4*(p - 3)**2*(p - 1)*(p + 2)/5
Solve -4*p**2/5 - 484*p/5 + 488/5 = 0.
-122, 1
Find d, given that -2*d**2/5 - 1724*d/5 - 371522/5 = 0.
-431
Suppose 16*d**5 + 48*d**4 - 236*d**3 - 288*d**2 + 436*d - 120 = 0. What is d?
-5, -2, 1/2, 3
Factor 2*u**5/17 + 230*u**4/17 + 6000*u**3/17 - 36000*u**2/17.
2*u**2*(u - 5)*(u + 60)**2/17
What is a in -2*a**2 - 162*a + 860 = 0?
-86, 5
Factor 5*i**2/2 + i/2 - 38.
(i + 4)*(5*i - 19)/2
Factor 2*h**3/3 - 56*h**2 + 328*h/3.
2*h*(h - 82)*(h - 2)/3
Factor 15*a**3 + 108*a**2 + 225*a + 132.
3*(a + 1)*(a + 4)*(5*a + 11)
What is k in -2*k**2 - 284*k - 560 = 0?
-140, -2
Factor 24*h**2 - 220*h - 244.
4*(h + 1)*(6*h - 61)
Factor k**3/6 + 388*k**2/3 + 2315*k/6 - 1546/3.
(k - 1)*(k + 4)*(k + 773)/6
Factor -2*m**2/5 + 142*m/5 - 276/5.
-2*(m - 69)*(m - 2)/5
What is d in -24*d**4 + 140*d**3 - 240*d**2 + 100*d + 24 = 0?
-1/6, 1, 2, 3
Factor -l**2 + 152*l/5 - 896/5.
-(l - 8)*(5*l - 112)/5
Factor -5*w**3/2 + 155*w**2/2 - 200*w - 280.
-5*(w - 28)*(w - 4)*(w + 1)/2
Factor -2*w**3 - 4*w**2 + 2*w + 4.
-2*(w - 1)*(w + 1)*(w + 2)
Find b, given that 2*b**3/7 + 1416*b**2/7 - 2838*b/7 + 1420/7 = 0.
-710, 1
What is x in -2*x**5/13 + 30*x**4 - 25348*x**3/13 + 42220*x**2 + 1950*x - 42250 = 0?
-1, 1, 65
Factor 2*c**2/9 - 10*c/3 + 28/9.
2*(c - 14)*(c - 1)/9
Solve -2*s**5 - 2*s**4 + 32*s**3 - 40*s**2 = 0 for s.
-5, 0, 2
What is s in -3*s**3 + 42*s**2 = 0?
0, 14
Factor -3080*p**2/9 + 2*p/9.
-2*p*(1540*p - 1)/9
Factor f**5/3 - 17*f**3/3 - 12*f**2 - 20*f/3.
f*(f - 5)*(f + 1)*(f + 2)**2/3
Find m such that 5*m**5/6 + 65*m**4/6 - 40*m**3/3 - 70*m**2/3 = 0.
-14, -1, 0, 2
Solve 2*x**4/7 + 144*x**3/7 - 4224*x**2/7 + 5120*x - 98304/7 = 0 for x.
-96, 8
Solve 2*n**3/9 + 10*n**2/9 + 8*n/9 = 0 for n.
-4, -1, 0
Solve -123*l**2 + 117*l + 6 = 0 for l.
-2/41, 1
What is d in 2*d**4 - 14*d**3 + 2*d**2 + 54*d + 36 = 0?
-1, 3, 6
Factor m**2/3 + 560*m/3 + 78400/3.
(m + 280)**2/3
Find k such that 3*k**2 - 24*k + 36 = 0.
2, 6
Factor 2*n**4/3 - 2*n**3 - 8*n**2/3 + 8*n.
2*n*(n - 3)*(n - 2)*(n + 2)/3
Let 7*p**4/9 - 111*p**3 + 3634*p**2/9 - 308*p - 1112/9 = 0. What is p?
-2/7, 2, 139
Let k**2/3 - 1694*k/3 + 717409/3 = 0. Calculate k.
847
Determine a so that -215*a**4 + 635*a**3 + 30*a**2 = 0.
-2/43, 0, 3
Factor d**3/7 + 18*d**2/7 + 59*d/7 + 6.
(d + 1)*(d + 3)*(d + 14)/7
Suppose -d**5 + 7*d**4 - 2*d**3 - 28*d**2 + 24*d = 0. Calculate d.
-2, 0, 1, 2, 6
Factor -2*r**2 + 1316*r - 216482.
-2*(r - 329)**2
Suppose -30*p**3/7 + 16*p**2 - 10*p + 12/7 = 0. What is p?
1/3, 2/5, 3
Find g such that -g**2/2 + 9*g/2 = 0.
0, 9
Find f, given that 10*f**2/3 - 1676*f/3 + 334 = 0.
3/5, 167
Solve t**3/4 + 53*t**2 + 2809*t = 0.
-106, 0
Let 8*a**4 - 7516*a**3/3 - 21452*a**2/3 - 11384*a/3 + 2528/3 = 0. What is a?
-2, -1, 1/6, 316
Factor -k**4/3 + 91*k**3/3 - 179*k**2/3 + 89*k/3.
-k*(k - 89)*(k - 1)**2/3
Factor -c**2/3 - 10*c - 75.
-(c + 15)**2/3
Determine y, given that 4*y**2 - 20*y - 96 = 0.
-3, 8
What is w in 5*w**4 - 405*w**3 + 1185*w**2 - 1175*w + 390 = 0?
1, 78
Let 63*x**5 - 372*x**4 + 153*x**3 + 1656*x**2 - 1356*x - 144 = 0. What is x?
-2, -2/21, 1, 3, 4
Factor -10*r**3/7 - 54*r**2/7 - 60*r/7 - 16/7.
-2*(r + 1)*(r + 4)*(5*r + 2)/7
Determine w, given that -4*w**4 + 944*w**3 + 12*w**2 - 2840*w + 1888 = 0.
-2, 1, 236
Solve c**4/2 - 3*c**3/2 - 73*c**2/2 - 165*c/2 = 0.
-5, -3, 0, 11
Determine n so that n**5/2 - 3*n**4/2 - 5*n**3 - n**2 + 9*n/2 + 5/2 = 0.
-1, 1, 5
Let 2*z**2/13 - 11132*z/13 + 15490178/13 = 0. Calculate z.
2783
Solve -196*z**4 - 16352*z**3 + 26052*z**2 - 10864*z + 1360 = 0 for z.
-85, 2/7, 1
Determine n so that 4*n**4 - 148*n**3/7 - 128*n**2/7 + 48*n/7 = 0.
-1, 0, 2/7, 6
Factor 5*m**2 - 3280*m + 537920.
5*(m - 328)**2
Factor 5*x**2/2 + x/4 - 9/4.
(x + 1)*(10*x - 9)/4
Factor 2*w**4 + 2*w**3 - 6*w**2 - 10*w - 4.
2*(w - 2)*(w + 1)**3
Factor -t**2 + 13*t + 338.
-(t - 26)*(t + 13)
Let -5*o**2 + 3530*o - 10545 = 0. What is o?
3, 703
Factor -27*n**3 + 51*n**2 + 78*n.
-3*n*(n + 1)*(9*n - 26)
Suppose 4*b**4 - 112*b**3 + 720*b**2 = 0. Calculate b.
0, 10, 18
Determine i, given that 2*i**2/9 + 610*i/9 = 0.
-305, 0
Factor 2*l**3/7 + 8*l**2 + 56*l.
2*l*(l + 14)**2/7
Factor 2*f**5/9 - 4*f**4/3 + 22*f**3/9 - 4*f**2/9 - 8*f/3 + 16/9.
2*(f - 2)**3*(f - 1)*(f + 1)/9
Factor -65522*s**2/7 - 33304*s/7 - 4232/7.
-2*(181*s + 46)**2/7
What is t in 2*t**3 - 41*t**2/6 + 13*t/2 - 5/3 = 0?
5/12, 1, 2
Factor -q**2/3 + q + 6.
-(q - 6)*(q + 3)/3
Factor 3*u**2/4 - 45*u/2 + 675/4.
3*(u - 15)**2/4
Determine v so that v**3 - 9*v = 0.
-3, 0, 3
Determine z, given that 12*z**5 - 57*z**4 + 72*z**3 - 27*z**2 = 0.
0, 3/4, 1, 3
Determine l, given that -2*l**4/9 - 430*l**3/9 - 844*l**2/3 - 5032*l/9 - 3344/9 = 0.
-209, -2
Factor -t**2 + 17*t + 18.
-(t - 18)*(t + 1)
Factor -21*z**4/4 - 39*z**3/4 - 15*z**2/4 + 3*z/4.
-3*z*(z + 1)**2*(7*z - 1)/4
Determine n, given that -n**2/3 - 2*n/3 - 1/3 = 0.
-1
Suppose -5*v**2/3 - 45*v + 150 = 0. Calculate v.
-30, 3
Let -z**4 - 9*z**3 - 8*z**2 = 0. Calculate z.
-8, -1, 0
Suppose -2*g**3/13 + 42*g**2/13 + 314*g/13 + 270/13 = 0. What is g?
-5, -1, 27
Factor q**2/4 - q/4 - 14.
(q - 8)*(q + 7)/4
Let 5*y**3 - 405*y**2 + 3940*y - 6300 = 0. What is y?
2, 9, 70
Factor t**2 + 16524*t + 68260644.
(t + 8262)**2
Suppose a**3/5 - 68*a**2/5 - 73*a = 0. What is a?
-5, 0, 73
Determine s so that -9*s**2 - 42*s + 15 = 0.
-5, 1/3
Suppose -3*b**5/2 + 3*b**4/2 + 49*b**3/6 + 19*b**2/6 - 2*b = 0. What is 