t**4 + 233*t**3/3 + 394*t**2/3 - 413*t/3 + 98/3 = 0.
-1, 2/5, 1, 7/6
Solve 5*z**2 + 380*z + 375 = 0.
-75, -1
Suppose -3*n**3/5 + 45*n**2 = 0. What is n?
0, 75
Determine k so that 125*k**5/4 - 475*k**4/4 - 2765*k**3/4 - 377*k**2/4 + 222*k + 63 = 0.
-3, -2/5, 3/5, 7
Factor 2*i**2/13 + 20*i/13 + 50/13.
2*(i + 5)**2/13
Let 3*l**4 - 66*l**3 - 24*l**2 + 4770*l + 4725 = 0. What is l?
-7, -1, 15
Let -5*h**3 - 35*h**2 + 140*h - 100 = 0. What is h?
-10, 1, 2
Factor p**4/2 + 57*p**3/2 + 55*p**2/2 - 57*p/2 - 28.
(p - 1)*(p + 1)**2*(p + 56)/2
Solve -2*s**5/7 - 48*s**4/7 + 358*s**3/7 - 108*s**2/7 - 1472*s/7 - 960/7 = 0 for s.
-30, -1, 4
What is a in 3*a**5/5 + 3*a**4/5 - 12*a**3/5 - 12*a**2/5 = 0?
-2, -1, 0, 2
Factor 6*w**4 - 310*w**3 + 3952*w**2 + 1352*w.
2*w*(w - 26)**2*(3*w + 1)
Let 2*p**5/5 - 318*p**4/5 + 13104*p**3/5 - 36496*p**2/5 - 1248*p/5 + 48672/5 = 0. Calculate p.
-1, 2, 78
Factor 2*o**4/7 - 38*o**3/7 + 246*o**2/7 - 86*o + 56.
2*(o - 7)**2*(o - 4)*(o - 1)/7
Suppose -2*j**5/5 + 16*j**4/5 - 48*j**3/5 + 64*j**2/5 - 32*j/5 = 0. Calculate j.
0, 2
Solve -v**3/4 - 7*v**2/4 - 11*v/4 - 5/4 = 0.
-5, -1
Find p such that -10*p**3/13 - 58*p**2/13 - 38*p/13 + 10/13 = 0.
-5, -1, 1/5
Factor 2*b**2/7 + 19076*b/7 + 45486722/7.
2*(b + 4769)**2/7
Determine f, given that -5*f**3 - 10*f**2 + 25*f + 30 = 0.
-3, -1, 2
Factor -4*l**2/7 - 52*l/7 + 192/7.
-4*(l - 3)*(l + 16)/7
Determine u so that 3*u**3/7 - 27*u**2/7 + 60*u/7 = 0.
0, 4, 5
Determine s so that -5*s**2 + 14925*s - 14920 = 0.
1, 2984
Determine y so that y**4 + 8*y**3 - 21*y**2 - 8*y + 20 = 0.
-10, -1, 1, 2
What is w in -5*w**4 + 30*w**3 + 55*w**2 - 120*w - 140 = 0?
-2, -1, 2, 7
Suppose -2*j**3 - 5724*j**2 - 5460696*j - 1736501328 = 0. Calculate j.
-954
Find k, given that -33*k**3/4 - 61*k**2/4 - 8*k - 1 = 0.
-1, -2/3, -2/11
Factor 4*h**2/3 + 148*h/3 - 656/3.
4*(h - 4)*(h + 41)/3
Suppose 12*v**4 - 142*v**3 + 530*v**2 - 650*v + 250 = 0. What is v?
5/6, 1, 5
Determine t, given that 4*t**5 - 80*t**4 - 4*t**3 + 80*t**2 = 0.
-1, 0, 1, 20
Let h**2/7 + 34*h/7 - 72/7 = 0. What is h?
-36, 2
Suppose u**4 - 13*u**3 + 59*u**2 - 107*u + 60 = 0. Calculate u.
1, 3, 4, 5
Factor -4*n**4 + 52*n**3 + 56*n**2.
-4*n**2*(n - 14)*(n + 1)
Determine o so that -3*o**2 + 411*o + 834 = 0.
-2, 139
Find v, given that -6*v**5 + 33*v**4 + 111*v**3 + 75*v**2 - 21*v - 24 = 0.
-1, 1/2, 8
Find w such that 4*w**5 - 44*w**4 + 72*w**3 + 8*w**2 - 76*w + 36 = 0.
-1, 1, 9
Let -2*c**2/5 - 1148*c/5 - 164738/5 = 0. Calculate c.
-287
Find p such that -2*p**2 + 170*p = 0.
0, 85
Determine q, given that -3*q**4 - 66*q**3 - 540*q**2 - 1944*q - 2592 = 0.
-6, -4
Solve w**2 - 214*w + 840 = 0 for w.
4, 210
Suppose -363*s**5/5 - 957*s**4/5 + 3651*s**3/5 - 3039*s**2/5 + 768*s/5 - 12 = 0. What is s?
-5, 2/11, 1
Determine y so that 4*y**2 + 10844*y = 0.
-2711, 0
Let -w**2 + 3*w = 0. Calculate w.
0, 3
Solve -d**3/4 + 7*d**2/4 + 7*d + 5 = 0 for d.
-2, -1, 10
Factor 505*s**3 - 3025*s**2 + 4515*s + 45.
5*(s - 3)**2*(101*s + 1)
Suppose 5*u**3/2 + 725*u**2/2 + 6875*u/2 + 16875/2 = 0. What is u?
-135, -5
Determine z, given that -23*z**4 - 90*z**3 + 1181*z**2 - 2172*z + 180 = 0.
-10, 2/23, 3
Factor -3*l**3/7 - 15*l**2/7 - 6*l/7 + 24/7.
-3*(l - 1)*(l + 2)*(l + 4)/7
What is h in 2*h**5 - 11*h**4/2 + 5*h**3/4 + 5*h**2 - 13*h/4 + 1/2 = 0?
-1, 1/4, 1/2, 1, 2
Solve -w**5 - 193*w**4 - 9404*w**3 - 8444*w**2 + 37632*w + 36864 = 0 for w.
-96, -2, -1, 2
Factor -3*d**2 - 354*d - 10443.
-3*(d + 59)**2
Determine y so that 2*y**3/3 + 14*y**2/3 + 28*y/3 + 16/3 = 0.
-4, -2, -1
Solve -5*x**5 + 25*x**4 - 30*x**3 - 10*x**2 + 35*x - 15 = 0.
-1, 1, 3
Solve c**3/6 - 233*c**2/2 - 350*c/3 = 0 for c.
-1, 0, 700
Factor -3*j**3 + 60*j**2 + 2709*j + 2646.
-3*(j - 42)*(j + 1)*(j + 21)
Factor -3*w**4/7 - 435*w**3/7 - 2961*w**2 - 44247*w + 100842.
-3*(w - 2)*(w + 49)**3/7
Let 6*h**4 - 16*h**3 - 60*h**2 + 144*h + 54 = 0. Calculate h.
-3, -1/3, 3
Factor s**5 - 6*s**4 - 34*s**3 - 56*s**2 - 39*s - 10.
(s - 10)*(s + 1)**4
Factor 3*i**2/8 + 2031*i/2 + 1374987/2.
3*(i + 1354)**2/8
Find r such that -r**3/2 + 56*r**2 - 641*r/2 + 265 = 0.
1, 5, 106
Let -2*f**5 - 32*f**4 + 726*f**3 + 1540*f**2 + 784*f = 0. Calculate f.
-28, -1, 0, 14
Factor -2*s**2 - 120*s + 122.
-2*(s - 1)*(s + 61)
Factor o**4 + 3*o**3 - 3*o**2 - 11*o - 6.
(o - 2)*(o + 1)**2*(o + 3)
Factor 6*f**2/7 + 2400*f/7 + 240000/7.
6*(f + 200)**2/7
Suppose 4*s**3 + 1996*s**2 - 4*s - 1996 = 0. Calculate s.
-499, -1, 1
Determine h so that -h**4/6 - 37*h**3/6 - 35*h**2 = 0.
-30, -7, 0
Factor -s**2/2 + 23*s/2 + 25.
-(s - 25)*(s + 2)/2
Factor 1805*u**3 + 1900*u**2 - 17360*u + 15680.
5*(u + 4)*(19*u - 28)**2
Factor 5*l**4 - 1370*l**3 + 96545*l**2 - 369900*l + 364500.
5*(l - 135)**2*(l - 2)**2
Find y, given that y**3/9 + 338*y**2/9 + 3097*y - 12996 = 0.
-171, 4
Suppose i**3/2 + i**2 - 7*i/2 + 2 = 0. Calculate i.
-4, 1
Suppose 3*t**5/4 - 9*t**4/4 + 3*t**2 = 0. What is t?
-1, 0, 2
Find y, given that 3*y**4 + 132*y**3 + 1575*y**2 + 2646*y = 0.
-21, -2, 0
Factor 2*b**2 + 46*b.
2*b*(b + 23)
Let -28*y**5/3 + 22*y**4/3 + 332*y**3/3 - 712*y**2/3 + 400*y/3 - 64/3 = 0. Calculate y.
-4, 2/7, 1/2, 2
Solve 5*d**4 + 85*d**3 - 15*d**2 - 4565*d - 8470 = 0.
-11, -2, 7
Factor 2*a**3/7 - 8*a**2/7 + 8*a/7.
2*a*(a - 2)**2/7
Find b such that 2*b**5/17 + 4*b**4/17 - 4*b**3/17 - 8*b**2/17 + 2*b/17 + 4/17 = 0.
-2, -1, 1
Factor -n**4/3 - 4*n**3 - 32*n**2/3.
-n**2*(n + 4)*(n + 8)/3
Let -p**4/9 - p**3/9 + p**2/3 + 5*p/9 + 2/9 = 0. What is p?
-1, 2
Let j**4/4 - 193*j**3 + 148221*j**2/4 + 149769*j/2 = 0. What is j?
-2, 0, 387
What is d in -2*d**4 - 76*d**3 - 794*d**2 - 1368*d - 648 = 0?
-18, -1
Suppose l**2 - 16*l = 0. Calculate l.
0, 16
Solve -q**5/6 + 5*q**4 - 299*q**3/6 + 485*q**2/3 + 50*q - 500/3 = 0 for q.
-1, 1, 10
Solve -2*f**4/7 - 2*f**3 + 186*f**2/7 + 58*f + 208/7 = 0 for f.
-13, -1, 8
Factor -3*s**2/2 + 765*s/2 + 384.
-3*(s - 256)*(s + 1)/2
Suppose -20*w**4 + 2537*w**3 - 2137*w**2 - 632*w + 252 = 0. Calculate w.
-2/5, 1/4, 1, 126
Factor 2*z**4 - 40*z**3 + 108*z**2 - 104*z + 34.
2*(z - 17)*(z - 1)**3
Suppose 2*d**2/5 - 4*d/5 - 6/5 = 0. What is d?
-1, 3
Factor 4*w**2 + 408*w + 5504.
4*(w + 16)*(w + 86)
Let 3*k**3 - 969*k**2 - 978*k + 1944 = 0. Calculate k.
-2, 1, 324
Solve 3*j**3/5 + 6*j**2/5 - 3*j - 18/5 = 0.
-3, -1, 2
Find d such that -57*d**5 + 159*d**4 + 207*d**3 - 363*d**2 - 426*d - 72 = 0.
-1, -4/19, 2, 3
What is y in 3*y**2/7 - 18828*y/7 + 29541132/7 = 0?
3138
Factor -10*q**4/3 + 514*q**3/3 - 2958*q**2 + 52598*q/3 - 19652/3.
-2*(q - 17)**3*(5*q - 2)/3
Factor 10*m**3/7 + 142*m**2/7 + 16*m/7 - 24.
2*(m - 1)*(m + 14)*(5*m + 6)/7
Find q, given that -2*q**5/3 - 2*q**4/3 + 2*q**3/3 + 2*q**2/3 = 0.
-1, 0, 1
Factor 16*j**4/3 + 28604*j**3/3 + 5681072*j**2 + 3383077184*j/3 - 846834944/3.
4*(j + 596)**3*(4*j - 1)/3
Determine v, given that 2*v**3 - 14*v**2 - 16*v = 0.
-1, 0, 8
Suppose c**2/3 + 67*c/3 + 1102/3 = 0. Calculate c.
-38, -29
Factor 5*b**4 + 195*b**3 + 1585*b**2 - 6195*b + 4410.
5*(b - 2)*(b - 1)*(b + 21)**2
Solve 462*l**5 - 1220*l**4 + 430*l**3 + 320*l**2 + 8*l = 0.
-1/3, -2/77, 0, 1, 2
Solve -j**5/7 - 15*j**4/7 + 18*j**3/7 + 32*j**2/7 = 0.
-16, -1, 0, 2
Factor -3*u**2/4 - 30*u - 108.
-3*(u + 4)*(u + 36)/4
Solve -5*i**2 + 55*i - 120 = 0.
3, 8
Let i**2/4 + 131*i/2 + 261/4 = 0. What is i?
-261, -1
Find u such that 22898*u**4/5 - 229836*u**3/5 + 8568*u**2/5 - 16*u = 0.
0, 2/107, 10
Factor 4*i**3/7 + 80*i**2/7 + 528*i/7 + 1152/7.
4*(i + 6)**2*(i + 8)/7
Factor -25*g**4 - 120*g**3 - 159*g**2 - 76*g - 12.
-(g + 1)*(g + 3)*(5*g + 2)**2
Let -3*t**5/2 - 15*t**4/2 - 21*t**3/2 - 9*t**2/2 = 0. What is t?
-3, -1, 0
Suppose -2*v**4/9 + 14*v**3/9 - 10*v**2/3 + 2*v = 0. Calculate v.
0, 1, 3
Let 2*r**2/3 + 178*r/3 + 700 = 0. Calculate r.
-75, -14
Factor -4*z**3/5 + 156*z**2/5 - 296*z/5.
-4*z*(z - 37)*(z - 2)/5
Find f, given that -18*f**5/7 + 6*f**4 - 2*f**3 - 34*f**2/7 + 32*f/7 - 8/7 = 0.
-1, 2/3, 1
Determine p, given that -p**4/2 + 3*p**3/2 + 17*p**2/2 - 39*p/2 + 10 = 0.
-4, 1, 5
Solve -l**4/4 + 21*l**3/2 - 48*l**2 + 131*l/2 - 111/4 = 0.
1, 3, 37
Let 3*y**3/2 + 873*y**2/2 + 5157*y/2 + 7695/2 = 0. Calculate y.
-285, -3
Factor k**4/5 - 77*k**3/5 - 83*k**2/5 + 393*k/5 - 234/5.
(k - 78)*(k - 1)**2*(k + 3)/5
Find l, given that 8*l**4 + 924*l**3 + 26444*l**2 - 13920*l - 13456 = 0.
-58, -1/2, 1
Suppose