*c**2/19 + 664*c/19 + 13778/19 = 0?
-83/2
What is m in -3*m**5/4 + 289*m**4/2 - 13725*m**3/2 - 9457*m**2 + 9021*m/4 + 9409/2 = 0?
-1, 2/3, 97
Determine s, given that -4*s**4/9 - 4*s**3/9 + 44*s**2/9 + 4*s - 8 = 0.
-3, -2, 1, 3
Let -2*l**2/7 + 340*l/7 - 1328/7 = 0. What is l?
4, 166
Let -4*r**5 + 28*r**4 - 24*r**3 = 0. What is r?
0, 1, 6
Determine r so that -5*r**2 + 85*r + 550 = 0.
-5, 22
Suppose -3*h**3/5 - 228*h**2/5 - 4332*h/5 = 0. Calculate h.
-38, 0
Solve -x**4 + x**3 + 7*x**2 - x - 6 = 0 for x.
-2, -1, 1, 3
Find m, given that -2*m**3/21 + 4*m**2/3 - 2*m - 24/7 = 0.
-1, 3, 12
Suppose i**3/3 - 21*i**2/2 - 46*i - 142/3 = 0. Calculate i.
-2, 71/2
What is j in -68*j**4 + 348*j**3 - 584*j**2 + 336*j - 32 = 0?
2/17, 1, 2
Factor -b**5/2 - 9*b**4 - 52*b**3 - 80*b**2 + 192*b + 512.
-(b - 2)*(b + 4)**3*(b + 8)/2
Suppose 29*b**2/2 + 59*b/2 + 1 = 0. Calculate b.
-2, -1/29
Suppose -k**4 + 40*k**3 + 126*k**2 + 128*k + 43 = 0. Calculate k.
-1, 43
Solve -14*w**5/9 + 2*w**4 + 52*w**3/9 - 8*w**2 + 16*w/9 = 0 for w.
-2, 0, 2/7, 1, 2
Find q such that 3*q**3/2 + 177*q**2/2 - 771*q/2 - 945/2 = 0.
-63, -1, 5
Let -4*a**4/7 + 108*a**3/7 + 12*a**2/7 - 332*a/7 + 216/7 = 0. Calculate a.
-2, 1, 27
Factor 5*b**2/2 + 45*b/2 + 20.
5*(b + 1)*(b + 8)/2
Solve -80*a**3/3 - 1708*a**2/3 + 1136*a/3 - 176/3 = 0 for a.
-22, 1/4, 2/5
Let 2*u**4 - 98*u**3/3 + 386*u**2/3 - 382*u/3 + 88/3 = 0. What is u?
1/3, 1, 4, 11
What is m in -5*m**4 - 700*m**3 - 3410*m**2 - 4740*m - 2025 = 0?
-135, -3, -1
Factor -d**2/4 - 313*d/2 - 97969/4.
-(d + 313)**2/4
Factor 8*k**2/9 + 10*k/3 - 8/9.
2*(k + 4)*(4*k - 1)/9
Suppose -4*l**2 - 148*l + 312 = 0. Calculate l.
-39, 2
Factor 3*b**2/2 + 401*b/2 - 67.
(b + 134)*(3*b - 1)/2
Factor -4*s**3 + 116*s**2 + 512*s + 528.
-4*(s - 33)*(s + 2)**2
Factor 3*r**4/2 - 6*r**3 + 9*r**2/2.
3*r**2*(r - 3)*(r - 1)/2
Determine x, given that x**5/4 + x**4 - 27*x**3/4 + 19*x**2/2 - 4*x = 0.
-8, 0, 1, 2
Determine l so that -2*l**2/5 - 14*l/5 + 48 = 0.
-15, 8
Find y, given that 12*y**3/7 + 69*y**2/7 + 6*y - 15/7 = 0.
-5, -1, 1/4
Find l, given that -4*l**3 - 60*l**2 - 56*l = 0.
-14, -1, 0
Find z such that -2*z**2/19 - 222*z/19 - 1456/19 = 0.
-104, -7
Determine m so that m**3 - 814*m**2 = 0.
0, 814
Suppose -6*p**5 - 233*p**4 - 605*p**3 + 265*p**2 + 471*p + 108 = 0. Calculate p.
-36, -3, -1/2, -1/3, 1
Factor -9*h**3 - 69*h**2 - 120*h + 48.
-3*(h + 4)**2*(3*h - 1)
Let 16*c**5 - 56*c**4 - 1860*c**3 + 2854*c**2 - 1436*c + 240 = 0. What is c?
-10, 1/2, 12
Factor -3*p**2 + 4332*p + 8676.
-3*(p - 1446)*(p + 2)
What is d in -2*d**3/5 - 354*d**2/5 - 15486*d/5 + 15842/5 = 0?
-89, 1
Factor 3*n**4/2 - 18*n**3 + 81*n**2 - 162*n + 243/2.
3*(n - 3)**4/2
Determine o so that -o**5/4 + 3*o**4/4 + 59*o**3/2 + 57*o**2 - 234*o = 0.
-6, 0, 2, 13
What is t in 4*t**5 - 44*t**4 = 0?
0, 11
Find d such that -5*d**3 - 100*d**2 + 895*d - 1350 = 0.
-27, 2, 5
Determine o so that 9*o**3 - 5784*o**2 + 3853*o - 642 = 0.
1/3, 642
Let 5*d**3 - 195*d**2 + 1995*d - 1805 = 0. Calculate d.
1, 19
Find x such that -2*x**3/5 - 34*x**2/5 = 0.
-17, 0
Find v, given that 9*v**3/8 + 57*v**2/8 - 45*v/8 - 21/8 = 0.
-7, -1/3, 1
Determine q, given that 4*q**4 - 160*q**3 + 244*q**2 + 2280*q = 0.
-3, 0, 5, 38
Solve -7*g**5/3 - 3*g**4 + 110*g**3/3 + 20*g**2 - 328*g/3 - 32 = 0 for g.
-4, -2, -2/7, 2, 3
Factor -5*x**4 + 1170*x**3 - 67265*x**2 - 138060*x - 69620.
-5*(x - 118)**2*(x + 1)**2
What is t in 2*t**3/9 + 34*t**2/3 + 160*t + 384 = 0?
-24, -3
Factor -4*w**3 + 1289*w**2 - 104006*w + 25921.
-(w - 161)**2*(4*w - 1)
Determine y so that 4*y**3 - 16*y**2 - 116*y - 96 = 0.
-3, -1, 8
Solve 5*n**4/3 + 5*n**3/3 = 0 for n.
-1, 0
Suppose o**5/6 - 4*o**4/3 + 4*o**3/3 + 13*o**2/3 - 3*o/2 - 3 = 0. What is o?
-1, 1, 3, 6
Determine d, given that -2*d**4/7 + 128*d**3/7 - 606*d**2/7 + 136*d - 472/7 = 0.
1, 2, 59
Determine n, given that -4*n**2/9 - 160*n/9 - 52/3 = 0.
-39, -1
Suppose -3*d**5 + 12*d**4 + 96*d**3 - 384*d**2 - 768*d + 3072 = 0. What is d?
-4, 4
Factor 2*h**5 - 1078*h**4 + 143636*h**3 + 437396*h**2 + 439562*h + 146882.
2*(h - 271)**2*(h + 1)**3
Factor 2*n**3 + 198*n**2 + 4998*n + 4802.
2*(n + 1)*(n + 49)**2
Let 2*a**3/9 + 4*a**2/9 - 1298*a/9 - 1300/9 = 0. Calculate a.
-26, -1, 25
Factor -2*t**3/7 + 38*t**2/7 - 36*t/7.
-2*t*(t - 18)*(t - 1)/7
Factor -3*s**3 + 18*s**2 + 297*s - 312.
-3*(s - 13)*(s - 1)*(s + 8)
Factor 5*y**3/6 - y**2/3 - 5*y/6 + 1/3.
(y - 1)*(y + 1)*(5*y - 2)/6
Factor -2*l**2 - 120*l - 1800.
-2*(l + 30)**2
Factor 3*b**5/7 - 66*b**4/7 + 180*b**3/7 - 174*b**2/7 + 57*b/7.
3*b*(b - 19)*(b - 1)**3/7
Solve 4*o**3 - 140*o**2 - 292*o - 148 = 0 for o.
-1, 37
Factor -3*t**3 + 52*t**2 - 65*t + 16.
-(t - 16)*(t - 1)*(3*t - 1)
Let q**4 + 9*q**3 + 6*q**2 - 16*q = 0. What is q?
-8, -2, 0, 1
Factor -3*m**3 + 54*m**2 - 123*m - 180.
-3*(m - 15)*(m - 4)*(m + 1)
Determine j, given that 3*j**4/2 + 18*j**3 + 72*j**2 + 96*j = 0.
-4, 0
Determine m so that -2*m**2 - 72*m - 70 = 0.
-35, -1
Solve -3*k**5/5 + 27*k**4/5 - 39*k**3/5 - 27*k**2/5 + 42*k/5 = 0 for k.
-1, 0, 1, 2, 7
Let 10*d**4/3 - 76*d**3/3 - 298*d**2/3 + 604*d/3 - 80 = 0. What is d?
-4, 3/5, 1, 10
Let -i**5 + i**4 + 16*i**3 + 20*i**2 = 0. What is i?
-2, 0, 5
Factor 4*f**2 + 56*f - 480.
4*(f - 6)*(f + 20)
Factor -64*a**2 + 820*a + 156.
-4*(a - 13)*(16*a + 3)
Find s such that 2*s**2/7 + 2108*s + 3888206 = 0.
-3689
Factor 4*g**3 + 148*g**2 - 4*g - 148.
4*(g - 1)*(g + 1)*(g + 37)
Find k such that -4*k**4 + 20*k**3 - 36*k**2 + 28*k - 8 = 0.
1, 2
Determine u, given that u**4 - 65*u**3 = 0.
0, 65
Determine w, given that 12*w**5 - 87*w**4 + 132*w**3 + 177*w**2 - 270*w - 216 = 0.
-1, -3/4, 2, 3, 4
Factor w**4 - 65*w**3 + 1021*w**2 + 1221*w - 2178.
(w - 33)**2*(w - 1)*(w + 2)
Factor -3*l**2 - 318*l - 8427.
-3*(l + 53)**2
Let -503*a**2/4 + 3519*a/4 + 7/2 = 0. What is a?
-2/503, 7
Solve 3*p**5 + 57*p**4 - 264*p**3 + 276*p**2 = 0 for p.
-23, 0, 2
Let u**3/2 - 2*u**2 - 41*u/2 - 18 = 0. What is u?
-4, -1, 9
Suppose 2*c**2 + 1748*c = 0. Calculate c.
-874, 0
Factor -4*v**3 + 32*v**2 + 4*v - 32.
-4*(v - 8)*(v - 1)*(v + 1)
Suppose 3*y**3 - 24*y**2 = 0. Calculate y.
0, 8
Factor 968*v**3/5 - 1056*v**2/5 + 18*v - 2/5.
2*(v - 1)*(22*v - 1)**2/5
Factor 3*b**2 + 840*b + 58800.
3*(b + 140)**2
Factor h**3/7 + 24*h**2/7 + 143*h/7 + 120/7.
(h + 1)*(h + 8)*(h + 15)/7
Factor 3*p**2 - 354*p + 10443.
3*(p - 59)**2
Factor -5*f**3 + 125*f**2 - 340*f + 220.
-5*(f - 22)*(f - 2)*(f - 1)
Solve -6*n**2 - 20*n - 6 = 0 for n.
-3, -1/3
Factor 2*y**3/5 - 16*y**2/5 + 22*y/5 + 8.
2*(y - 5)*(y - 4)*(y + 1)/5
Factor -4*r**4 - 68*r**3 - 432*r**2 - 1216*r - 1280.
-4*(r + 4)**3*(r + 5)
Let 5*b**3/2 - 65*b**2 + 125*b/2 = 0. Calculate b.
0, 1, 25
Factor -4*r**3 - 20*r**2.
-4*r**2*(r + 5)
Factor 5*o**3 - 370*o**2 - 5*o + 370.
5*(o - 74)*(o - 1)*(o + 1)
Solve -98*j**4 - 37422*j**3 - 32022*j**2 - 6858*j = 0 for j.
-381, -3/7, 0
Find j, given that -2*j**3/5 - 654*j**2/5 - 56286*j/5 - 455058/5 = 0.
-159, -9
Let 3*c**5 + 27*c**4 + 30*c**3 - 108*c**2 - 168*c = 0. Calculate c.
-7, -2, 0, 2
Factor q**3/3 - 197*q**2 + 29008*q + 87616/3.
(q - 296)**2*(q + 1)/3
Determine k so that k**5/6 - 17*k**4/6 + 77*k**3/6 - 127*k**2/6 + 11*k = 0.
0, 1, 2, 3, 11
Suppose -2*t**2 + 110*t - 312 = 0. Calculate t.
3, 52
Suppose -2*r**5/15 + 26*r**4/5 - 598*r**3/15 - 1338*r**2/5 + 1008*r - 3528/5 = 0. Calculate r.
-6, 1, 2, 21
Factor -2*a**3 + 220*a**2 + 448*a.
-2*a*(a - 112)*(a + 2)
Determine c so that 3*c**5/7 + 12*c**4/7 - 72*c**3/7 - 486*c**2/7 - 891*c/7 - 486/7 = 0.
-3, -1, 6
Factor -a**2 + 53*a - 396.
-(a - 44)*(a - 9)
Factor 4*i**2/5 - 164*i/5 - 168/5.
4*(i - 42)*(i + 1)/5
Determine g, given that -2*g**4 + 6*g**3 + 16*g**2 - 24*g - 32 = 0.
-2, -1, 2, 4
Let 5*q**2 - 120*q = 0. What is q?
0, 24
Factor -o**2/5 - 172*o + 861/5.
-(o - 1)*(o + 861)/5
Solve -u**3/2 + 16*u**2 - 78*u = 0.
0, 6, 26
Factor 2*u**3/13 - 12*u**2/13 + 10*u/13.
2*u*(u - 5)*(u - 1)/13
Suppose -2*y**2/3 + 1912*y/3 - 1910/3 = 0. What is y?
1, 955
Factor 2*z**4/5 - 152*z**3/5 + 444*z**2/5 - 88*z + 146/5.
2*(z - 73)*(z - 1)**3/5
Determine y so that 50*y**2 - 27160*y + 3688328 = 0.
1358/5
Suppose -v**5/3 - 10*v**4/3 - 8*v**3 + 16*v**2/3 + 112*v/3 + 32 = 0. Calculate v.
-6, -2, 2
Find c such that -3*c**5 + 8*c**4 - c**3 - 8*c**2 + 4*c = 0.
-1, 0, 2/3, 1, 2
Let 4*h**5 + 892*h**4 + 48372*h**3 - 