130/3.
-(k + 2)*(k + 65)/3
Suppose -2*u**2 + 1284*u = 0. Calculate u.
0, 642
Find q, given that 25*q**5 + 795*q**4 + 1377*q**3 + 4077*q**2/5 + 162*q = 0.
-30, -3/5, 0
Factor -q**4/7 + 8*q**2/7 - 16/7.
-(q - 2)**2*(q + 2)**2/7
Find b such that -b**3/5 - 1686*b**2/5 - 947532*b/5 - 177504328/5 = 0.
-562
Determine q so that q**5/3 + 40*q**4/3 + 400*q**3/3 - 1280*q**2/3 - 20480*q/3 + 65536/3 = 0.
-16, 4
Factor 20*g**4 + 84*g**3 + 116*g**2 + 60*g + 8.
4*(g + 1)**2*(g + 2)*(5*g + 1)
Factor 3*y**3/7 - 402*y**2/7.
3*y**2*(y - 134)/7
Determine z so that 2*z**2/15 - 86*z/15 + 288/5 = 0.
16, 27
What is i in -4*i**4 - 40*i**3 + 16*i**2 + 616*i - 588 = 0?
-7, 1, 3
Factor 3*c**4 - 9*c**3 - 72*c**2 - 84*c.
3*c*(c - 7)*(c + 2)**2
Factor 2*h**3 - 1616*h**2 + 326432*h.
2*h*(h - 404)**2
Factor -3*n**5 - 162*n**4 - 3147*n**3 - 25104*n**2 - 57600*n + 86016.
-3*(n - 1)*(n + 7)*(n + 16)**3
Solve 2*n**5/5 + 12*n**4/5 + 16*n**3/5 - 32*n**2/5 - 96*n/5 - 64/5 = 0.
-2, 2
What is f in 2*f**2/3 + 404*f/3 + 784 = 0?
-196, -6
Solve -14*i**3/3 + 8*i**2 + 50*i/3 + 4 = 0.
-1, -2/7, 3
Suppose 4*f**5/3 + 8*f**4 + 20*f**3/3 = 0. Calculate f.
-5, -1, 0
Find f such that f**4/2 + f**3 - 112*f**2 - 225*f - 225/2 = 0.
-15, -1, 15
Factor 2*k**4/5 + 154*k**3/5 + 90*k**2 + 446*k/5 + 148/5.
2*(k + 1)**3*(k + 74)/5
Solve -4*u**4/19 + 2*u**3/19 + 2*u**2/19 = 0.
-1/2, 0, 1
Factor -c**2/2 + 99*c/2.
-c*(c - 99)/2
Find z such that -z**4/5 - 8*z**3/5 + 83*z**2/5 + 522*z/5 - 1296/5 = 0.
-9, 2, 8
Factor -2*p**3/7 - 12378*p**2/7 - 25535814*p/7 - 17560128094/7.
-2*(p + 2063)**3/7
Find k such that -k**3/7 - 3*k**2 - 135*k/7 - 243/7 = 0.
-9, -3
Determine d, given that d**5/8 + 27*d**4/4 + 135*d**3 + 1242*d**2 + 5346*d + 8748 = 0.
-18, -6
Suppose 2*f**2/5 - 246*f/5 + 952/5 = 0. What is f?
4, 119
Determine y, given that -y**2/5 + 13*y/5 + 14/5 = 0.
-1, 14
Find d such that 3*d**4 + 33*d**3 + 27*d**2 - 33*d - 30 = 0.
-10, -1, 1
Find z such that -5*z**2/6 - 77*z/6 - 5 = 0.
-15, -2/5
Find q, given that q**4/5 - q**3 + 4*q**2/5 = 0.
0, 1, 4
Solve 2*l**3 - 312*l**2 + 16224*l - 281216 = 0.
52
Factor i**2/5 - 33*i + 310.
(i - 155)*(i - 10)/5
Find q such that -q**3 + 16*q**2 - 15*q = 0.
0, 1, 15
Factor 2*w**3/9 - 2*w**2 + 10*w/3 - 14/9.
2*(w - 7)*(w - 1)**2/9
Let 4*g**5 - 8*g**4 - 36*g**3 + 8*g**2 + 32*g = 0. What is g?
-2, -1, 0, 1, 4
Determine n, given that -2*n**4/7 + 10*n**3/7 - 12*n**2/7 = 0.
0, 2, 3
Determine d so that d**4 - 11*d**3 - 13*d**2 + 11*d + 12 = 0.
-1, 1, 12
Find c, given that -2*c**4 + 52*c**3 - 306*c**2 - 360*c = 0.
-1, 0, 12, 15
Factor 2*t**2/5 - 154*t/5 - 156/5.
2*(t - 78)*(t + 1)/5
Factor y**5 + 46*y**4 - 96*y**3 + 2*y**2 + 95*y - 48.
(y - 1)**3*(y + 1)*(y + 48)
Factor -22*o**3/3 - 184*o**2/3 - 416*o/3 - 128/3.
-2*(o + 4)**2*(11*o + 4)/3
Solve -9*w**4 - 33*w**3 - 13*w**2 + 17*w + 6 = 0.
-3, -1, -1/3, 2/3
Suppose -f**2 - 210*f - 416 = 0. Calculate f.
-208, -2
Factor 2*s**3/11 + 868*s**2/11 + 8640*s + 186624/11.
2*(s + 2)*(s + 216)**2/11
Factor -h**4/4 - h**3/4 + 3*h**2/2.
-h**2*(h - 2)*(h + 3)/4
Factor r**4 + 16*r**3 + 20*r**2 - 304*r + 384.
(r - 2)**2*(r + 8)*(r + 12)
Factor -u**5 - 25*u**4 - 106*u**3 + 1342*u**2 + 8107*u - 9317.
-(u - 7)*(u - 1)*(u + 11)**3
Factor f**2/10 - 31*f/10 - 14.
(f - 35)*(f + 4)/10
Factor -d**5 + 15*d**4 - 67*d**3 + 129*d**2 - 112*d + 36.
-(d - 9)*(d - 2)**2*(d - 1)**2
Find k such that k**2 - 16*k + 39 = 0.
3, 13
Suppose d**3/2 + 107*d**2 + 425*d/2 + 106 = 0. What is d?
-212, -1
What is y in -10*y**2 + 212*y - 42 = 0?
1/5, 21
Find q such that 3*q**2/7 - 1254*q/7 - 360 = 0.
-2, 420
Factor 3*w**4 - 10464*w**3 + 13686912*w**2 - 7956658176*w + 1734551482368.
3*(w - 872)**4
Let -f**3 - 12*f**2 + 31*f + 42 = 0. Calculate f.
-14, -1, 3
Let 3*u**3 + 81*u**2 + 72*u - 156 = 0. What is u?
-26, -2, 1
Factor 6*a**2/5 - 12*a/5 - 48/5.
6*(a - 4)*(a + 2)/5
Determine a, given that -3*a**5 - 84*a**4 - 393*a**3 + 84*a**2 + 396*a = 0.
-22, -6, -1, 0, 1
Suppose t**3/3 + 26*t**2/3 + 169*t/3 + 48 = 0. Calculate t.
-16, -9, -1
Determine b so that -b**3 + 22*b**2 - 59*b + 38 = 0.
1, 2, 19
Suppose -y**4 + 39*y**3 - 178*y**2 + 276*y - 136 = 0. Calculate y.
1, 2, 34
Find b, given that 3*b**3/2 + 99*b**2/4 + 102*b + 45 = 0.
-10, -6, -1/2
Suppose 9*f**5 + 75*f**4 + 9*f**3 - 123*f**2 - 18*f + 48 = 0. Calculate f.
-8, -1, 2/3, 1
Factor 3*s**2/2 + 3*s/2 - 9.
3*(s - 2)*(s + 3)/2
Solve -10*c**4 + 155*c**3 - 455*c**2 + 430*c - 120 = 0.
1/2, 1, 2, 12
Solve -30752*m**4/13 + 186000*m**3/13 - 21978*m**2 + 13500*m/13 - 162/13 = 0.
3/124, 3
Factor 3*m**4 + 12*m**3 - 135*m**2.
3*m**2*(m - 5)*(m + 9)
Determine m, given that -5*m**5 - 215*m**4 - 3330*m**3 - 21710*m**2 - 51545*m - 32955 = 0.
-13, -3, -1
Find h, given that -2*h**2 - 264*h + 536 = 0.
-134, 2
Determine d, given that -d**4/6 - 11*d**3/6 - 5*d**2 = 0.
-6, -5, 0
Let 5*t**5 + 35*t**4 + 35*t**3 - 255*t**2 - 720*t - 540 = 0. What is t?
-3, -2, 3
Factor -s**3/8 - 141*s**2/4 - 2745*s/8 - 850.
-(s + 5)**2*(s + 272)/8
Factor -4*l**2 + 1372*l + 1376.
-4*(l - 344)*(l + 1)
Factor 4*g**3/5 - 148*g**2 + 39648*g/5 - 479808/5.
4*(g - 84)**2*(g - 17)/5
Suppose 22*h**2 - 240*h + 392 = 0. What is h?
2, 98/11
Determine a, given that 3*a**5/7 - 114*a**4/7 + 213*a**3 - 1092*a**2 + 1764*a = 0.
0, 3, 7, 14
Suppose -j**5 - j**4 + 17*j**3 - 19*j**2 - 16*j + 20 = 0. What is j?
-5, -1, 1, 2
Factor 2*o**2/5 + 16*o/5.
2*o*(o + 8)/5
Factor 4*j**3 - 300*j**2 + 5624*j.
4*j*(j - 38)*(j - 37)
What is a in 3*a**2/2 + 1974*a - 3951/2 = 0?
-1317, 1
Factor k**4/4 + 11*k**3/4 + 29*k**2/4 - 35*k/4 - 75/2.
(k - 2)*(k + 3)*(k + 5)**2/4
Let -3*z**2/4 - 27*z/4 - 21/2 = 0. What is z?
-7, -2
Factor -4*b**2/5 + 24*b.
-4*b*(b - 30)/5
Factor -2*f**4 + 4034*f**3 - 2713536*f**2 + 609638400*f - 606928896.
-2*(f - 672)**3*(f - 1)
Factor 3*n**2/5 + 18*n + 168/5.
3*(n + 2)*(n + 28)/5
Find w, given that -2*w**2 + 56*w - 374 = 0.
11, 17
Solve -w**5/10 + 3*w**4 + 16*w**3/5 - 3*w**2 - 31*w/10 = 0.
-1, 0, 1, 31
Factor 2*x**4/9 + 2*x**3/3 - 2*x**2/9 - 2*x/3.
2*x*(x - 1)*(x + 1)*(x + 3)/9
Suppose -6*g**3 - 1502*g**2 + 2516*g - 1008 = 0. Calculate g.
-252, 2/3, 1
Find s, given that 2*s**3/23 - 20*s**2/23 + 64*s/23 - 64/23 = 0.
2, 4
Let -4*c**2 - 508*c + 512 = 0. What is c?
-128, 1
Let -l**3 + 3*l**2 + 4*l = 0. Calculate l.
-1, 0, 4
Factor -45*t**3 + 1389*t**2 + 186*t.
-3*t*(t - 31)*(15*t + 2)
Factor 4*l**2 - 232*l + 3364.
4*(l - 29)**2
Factor -2*v**4/3 + 8*v**3/3 + 8*v**2/3 - 32*v/3.
-2*v*(v - 4)*(v - 2)*(v + 2)/3
Find g such that 15*g**3 - 35*g**2 - 90*g - 40 = 0.
-1, -2/3, 4
Let 49*f**5/4 + 1113*f**4/2 - 13485*f**3/4 + 11075*f**2/2 - 2391*f + 306 = 0. Calculate f.
-51, 2/7, 2, 3
Factor 63*z**2 - z.
z*(63*z - 1)
Determine y so that y**2/3 - 36*y + 972 = 0.
54
Suppose 4*z**5/5 + 144*z**4/5 + 268*z**3/5 - 144*z**2/5 - 272*z/5 = 0. Calculate z.
-34, -2, -1, 0, 1
Find w such that -2*w**2/7 - 432*w/7 - 23328/7 = 0.
-108
Solve -46*p**4 + 367*p**3 - 912*p**2 + 716*p + 16 = 0.
-1/46, 2, 4
Let -499*n**4 - 497*n**3 + 2*n**2 = 0. What is n?
-1, 0, 2/499
What is r in r**3/2 + 18*r**2 + 159*r/2 + 62 = 0?
-31, -4, -1
Solve -2*d**5/9 - 8*d**4 + 104*d**3/3 - 320*d**2/9 = 0.
-40, 0, 2
What is z in 9*z**3 - 813*z**2 + 20875*z - 109375 = 0?
7, 125/3
Determine z so that z**5/3 - 4*z**4 + 10*z**3 - 28*z**2/3 + 3*z = 0.
0, 1, 9
Factor -5*z**2 - 5260*z - 1383380.
-5*(z + 526)**2
Factor 2*s**2 - 22*s - 84.
2*(s - 14)*(s + 3)
Suppose -h**5 - 17*h**4/4 - h**3 = 0. What is h?
-4, -1/4, 0
Factor o**4 + 2*o**3 + o**2.
o**2*(o + 1)**2
Factor 5*p**2 - 55*p + 50.
5*(p - 10)*(p - 1)
Factor 3*w**4/4 - 10*w**3 + 59*w**2/2 + 28*w - 49/4.
(w - 7)**2*(w + 1)*(3*w - 1)/4
Solve -3*d**2 + 231*d - 1080 = 0 for d.
5, 72
Factor 2*l**5/3 + 10*l**4/3 + 14*l**3/3 + 2*l**2.
2*l**2*(l + 1)**2*(l + 3)/3
Solve -5*m**3 - 40*m**2 + 255*m + 990 = 0 for m.
-11, -3, 6
Suppose j**4 + 32*j**3 + 138*j**2 - 1976*j + 1805 = 0. Calculate j.
-19, 1, 5
Suppose 20*q**3 - 128*q**2 - 92*q + 56 = 0. Calculate q.
-1, 2/5, 7
Find z, given that 4*z**3/3 + 3500*z**2/3 + 767372*z/3 + 763876/3 = 0.
-437, -1
Factor -2*i**4/3 + 26*i**3/3 - 32*i**2 + 24*i.
-2*i*(i - 6)**2*(i - 1)/3
Factor -t**2/3 - 24*t + 304/3.
-(t - 4)*(t + 76)/3
Factor -j**2/4 + 23*j/4.
-j*(j - 23)/4
Factor 2*r**3/3 - 248*r**2/3 + 322*r - 240.
2*(r - 120)*(r - 3)*(r - 1)/3
Factor 3*n**5 + 111*n**4 - 351*n**3 +