1, 9
Solve -4*q**4 - 36*q**3 + 548*q**2 + 36*q - 544 = 0 for q.
-17, -1, 1, 8
Find q such that 5*q**4 + 110*q**3 - 915*q**2 - 1600*q + 14000 = 0.
-28, -4, 5
Determine w, given that 20*w**5 + 95*w**4 + 95*w**3 - 30*w**2 = 0.
-3, -2, 0, 1/4
Factor d**2 + 8892*d + 19766916.
(d + 4446)**2
What is s in 2*s**4/7 + 72*s**3/7 + 130*s**2/7 - 204*s/7 = 0?
-34, -3, 0, 1
Factor 2*q**4/3 - 814*q**3/3 + 83230*q**2/3 - 82418*q/3.
2*q*(q - 203)**2*(q - 1)/3
Let 2*x**3 - 50*x**2 + 336*x - 288 = 0. Calculate x.
1, 12
Determine a, given that 15*a**5/7 - 3*a**4 - 339*a**3/7 + 75*a**2 + 828*a/7 = 0.
-23/5, -1, 0, 3, 4
Factor 5*b**4/6 + 7*b**3/2 + 4*b**2 + 2*b/3.
b*(b + 2)**2*(5*b + 1)/6
Factor -d**5 - 894*d**4 - 267302*d**3 - 26993736*d**2 - 79123473*d - 52396146.
-(d + 1)*(d + 2)*(d + 297)**3
Solve 5*g**3 - 450*g**2 + 10560*g - 19360 = 0.
2, 44
Let h**5 + 597*h**4 + 89399*h**3 + 88207*h**2 - 89400*h - 88804 = 0. Calculate h.
-298, -1, 1
Factor -z**2 - 231*z - 458.
-(z + 2)*(z + 229)
Let -21*u**3 - 261*u**2 - 306*u + 264 = 0. Calculate u.
-11, -2, 4/7
Let -s**4 + 232*s**3 - 1368*s**2 + 2720*s - 1808 = 0. Calculate s.
2, 226
Suppose -2*z**5/9 + 2*z**4 - 58*z**3/9 + 86*z**2/9 - 20*z/3 + 16/9 = 0. Calculate z.
1, 2, 4
Suppose -4*p**2/5 + 1592*p/5 - 158404/5 = 0. Calculate p.
199
Factor y**4/11 - 25*y**2/11.
y**2*(y - 5)*(y + 5)/11
Factor 2*v**3 + 10*v**2 + 12*v.
2*v*(v + 2)*(v + 3)
Let -3*o**4/2 - 16*o**3/5 + 431*o**2/10 + 254*o/5 + 6 = 0. Calculate o.
-6, -1, -2/15, 5
Factor 10*x**4 + 5*x**3 - 30*x**2 + 5*x + 10.
5*(x - 1)**2*(x + 2)*(2*x + 1)
Factor 3*l**3 + 54*l**2.
3*l**2*(l + 18)
Factor 2*n**2 + 94*n + 560.
2*(n + 7)*(n + 40)
What is z in -2*z**4 + 258*z**3 = 0?
0, 129
What is m in 2*m**5/3 + 6*m**4 + 26*m**3/3 - 6*m**2 - 28*m/3 = 0?
-7, -2, -1, 0, 1
Find t, given that 2*t**5/7 + 202*t**4/7 + 5198*t**3/7 + 4798*t**2/7 - 5200*t/7 - 5000/7 = 0.
-50, -1, 1
Factor -357911*o**3/3 - 10082*o**2 - 284*o - 8/3.
-(71*o + 2)**3/3
Suppose 26*q**4/3 - 18*q**3 + 2*q**2/3 + 18*q - 28/3 = 0. Calculate q.
-1, 1, 14/13
Solve 5*f**4/2 + 27*f**3/2 + 17*f**2 = 0.
-17/5, -2, 0
Factor 12*l**2 - 2649*l - 663.
3*(l - 221)*(4*l + 1)
Suppose -2*w**4/9 + 14*w**3/9 + 20*w**2/9 - 32*w/9 = 0. What is w?
-2, 0, 1, 8
Factor 2*r**3/3 + 520*r**2/3 - 1574*r/3 + 1052/3.
2*(r - 2)*(r - 1)*(r + 263)/3
Find g, given that -25*g**5 - 3305*g**4 + 2656*g**3 - 532*g**2 = 0.
-133, 0, 2/5
Determine t, given that -35*t**4 + 5*t**3 = 0.
0, 1/7
Find t, given that -31250*t**5/7 - 13750*t**4/7 + 14050*t**3/7 - 3170*t**2/7 + 272*t/7 - 8/7 = 0.
-1, 2/25, 1/5
Solve 3*l**2 + 87*l + 84 = 0.
-28, -1
What is x in 4*x**4/11 + 30*x**3/11 + 4*x**2 - 30*x/11 = 0?
-5, -3, 0, 1/2
Suppose 3*f**3/8 - 17385*f**2/8 + 25195209*f/8 - 25177827/8 = 0. What is f?
1, 2897
Factor -2*m**4 + 8*m**3 - 4*m**2 - 8*m + 6.
-2*(m - 3)*(m - 1)**2*(m + 1)
Factor b**3/6 - 7*b**2/6 + b.
b*(b - 6)*(b - 1)/6
Factor -c**3/4 - 29*c**2/4 - 55*c - 48.
-(c + 1)*(c + 12)*(c + 16)/4
Suppose s**4/5 + 24*s**3/5 + 8*s**2 - 96*s/5 - 176/5 = 0. What is s?
-22, -2, 2
Factor -3*o**3/7 - 9*o**2/7 + 30*o/7.
-3*o*(o - 2)*(o + 5)/7
Let 3*v**3/5 + 27*v**2/5 - 3*v/5 - 27/5 = 0. What is v?
-9, -1, 1
Factor -u**4/2 + 56*u**3 - 324*u**2 + 640*u - 424.
-(u - 106)*(u - 2)**3/2
Factor 3*k**2 + 156*k + 1056.
3*(k + 8)*(k + 44)
What is g in 16*g**4 - 20*g**3 - 8*g**2 + 12*g = 0?
-3/4, 0, 1
Factor 2*g**2 - 1160*g + 168200.
2*(g - 290)**2
Let -484*k**4 - 11396*k**3 - 16756*k**2 - 6636*k - 792 = 0. Calculate k.
-22, -1, -3/11
What is d in d**4/10 + 9*d**3/10 - 62*d**2/5 + 102*d/5 = 0?
-17, 0, 2, 6
Factor b**3/6 + 925*b**2/6 - 1853*b/6 + 309/2.
(b - 1)**2*(b + 927)/6
Determine m so that -m**5/2 - 2*m**4 + 7*m**3/2 + 17*m**2 + 12*m = 0.
-4, -2, -1, 0, 3
Factor 2*b**5/21 - 2*b**3/21.
2*b**3*(b - 1)*(b + 1)/21
Factor g**2/3 - 46*g/3.
g*(g - 46)/3
Factor -2*j**2 - 42*j - 40.
-2*(j + 1)*(j + 20)
Determine u so that 18*u**3 - 138*u**2 - 208*u - 72 = 0.
-2/3, 9
Determine q so that 8*q**5/7 + 8*q**4/7 - 26*q**3/7 - 38*q**2/7 - 12*q/7 = 0.
-3/2, -1, -1/2, 0, 2
Let -2*c**5/7 - 146*c**4/7 - 3848*c**3/7 - 42944*c**2/7 - 178112*c/7 - 212960/7 = 0. What is c?
-22, -5, -2
Let -10*o**4/9 + 74*o**3/9 - 128*o**2/9 + 40*o/9 = 0. What is o?
0, 2/5, 2, 5
Determine q, given that -5*q**4 - 15*q**3 + 215*q**2 - 465*q + 270 = 0.
-9, 1, 2, 3
Factor -k**3 + 83*k**2 - 1840*k + 4800.
-(k - 40)**2*(k - 3)
Suppose 2*j**5/5 + 94*j**4/5 - 396*j**3/5 + 604*j**2/5 - 406*j/5 + 102/5 = 0. What is j?
-51, 1
Find z, given that 2*z**3/5 + 68*z**2/5 + 504*z/5 - 1296/5 = 0.
-18, 2
Factor 2*s**2/3 - 956*s/3 - 958/3.
2*(s - 479)*(s + 1)/3
Find d, given that -169*d**4 - 91*d**3/5 + 32*d**2/5 + 4*d/5 = 0.
-2/13, 0, 1/5
Determine x, given that -2*x**5/3 + 2350*x**4/9 + 5528*x**3/9 - 1576*x**2/3 = 0.
-3, 0, 2/3, 394
Factor -i**3/5 - 3597*i**2/5 - 4312803*i/5 - 1723683599/5.
-(i + 1199)**3/5
Find h such that 20*h**5 - 128*h**4 + 208*h**3 + 56*h**2 - 228*h + 72 = 0.
-1, 2/5, 1, 3
Factor 2*q**2/9 + 74*q/3 - 3500/9.
2*(q - 14)*(q + 125)/9
Suppose 2*s**3/13 + 132*s**2/13 = 0. Calculate s.
-66, 0
Let -a**3 + 91*a**2 + 92*a = 0. Calculate a.
-1, 0, 92
Determine h, given that -h**3/2 - 1499*h**2/2 - 280500*h + 281250 = 0.
-750, 1
Suppose -3*a**2 + 4668*a - 1815852 = 0. What is a?
778
Find t such that -4*t**2 - 1408*t - 2800 = 0.
-350, -2
Solve j**2/3 + 128*j/3 - 665/3 = 0.
-133, 5
Find h such that 2*h**4 + 6*h**3 - 14*h**2 - 30*h + 36 = 0.
-3, 1, 2
Factor 4*k**5 + 32*k**4 + 60*k**3 - 32*k**2 - 64*k.
4*k*(k - 1)*(k + 1)*(k + 4)**2
Let -5*a**3 + 20*a**2 + 60*a = 0. Calculate a.
-2, 0, 6
Let -2*x**3/5 + 36*x**2/5 - 192*x/5 + 64 = 0. Calculate x.
4, 10
Find k, given that k**4 - 68*k**3 + 323*k**2 - 508*k + 252 = 0.
1, 2, 63
Determine y, given that -6845*y**2 - 28490*y - 29645 = 0.
-77/37
Find t, given that -2*t**2/5 + 40*t - 198/5 = 0.
1, 99
Factor 5*d**2 + 90*d + 280.
5*(d + 4)*(d + 14)
Solve 3*k**5/7 + 183*k**4/7 + 699*k**3/7 + 123*k**2 + 342*k/7 = 0.
-57, -2, -1, 0
Suppose -w**5/3 - 27*w**4 - 1664*w**3/3 - 340*w**2/3 + 8000*w - 32000/3 = 0. Calculate w.
-40, -5, 2
Factor -2*p**3/15 + 268*p**2/15 - 8978*p/15.
-2*p*(p - 67)**2/15
Factor u**4/4 + 7*u**3/2 - 87*u**2/4 + 37*u - 19.
(u - 2)**2*(u - 1)*(u + 19)/4
Determine i so that -4*i**2 + 620*i - 1824 = 0.
3, 152
Factor -5*j**2 + 280*j - 3920.
-5*(j - 28)**2
Solve r**5 - 517*r**4/3 + 1195*r**3/3 - 851*r**2/3 + 170*r/3 = 0 for r.
0, 1/3, 1, 170
Factor 68*k**2 + 116*k - 40.
4*(k + 2)*(17*k - 5)
Factor -4*m**2 + 124*m - 336.
-4*(m - 28)*(m - 3)
Suppose -12*v**4/13 - 310*v**3/13 + 1070*v**2/13 - 920*v/13 + 232/13 = 0. Calculate v.
-29, 1/2, 2/3, 2
Factor d**2/5 + 571*d/5 + 678.
(d + 6)*(d + 565)/5
Let -8*f**4/9 + 62*f**3/9 - 88*f**2/9 + 22*f/9 + 4/3 = 0. What is f?
-1/4, 1, 6
Find p such that -3*p**2 - 177*p + 366 = 0.
-61, 2
Find j such that -2*j**4 - 22*j**3 + 6*j**2 + 70*j + 44 = 0.
-11, -1, 2
Determine r so that 3*r**4 + 9*r**3 + 6*r**2 = 0.
-2, -1, 0
Factor -2*n**3/5 + 11*n**2/5 + 43*n/5 - 24/5.
-(n - 8)*(n + 3)*(2*n - 1)/5
Factor -a**3/8 - 17*a**2/8 - 9*a.
-a*(a + 8)*(a + 9)/8
What is z in 12*z**5 - 640*z**4 - 448*z**3 + 856*z**2 + 436*z - 216 = 0?
-1, 1/3, 1, 54
What is p in -3*p**2/2 - 1101*p = 0?
-734, 0
Factor q**4/7 - 3*q**3/7 - 15*q**2/7 - 17*q/7 - 6/7.
(q - 6)*(q + 1)**3/7
Factor -2*h**4 + 96*h**3 - 522*h**2 + 756*h.
-2*h*(h - 42)*(h - 3)**2
Suppose g**4/7 - g**3 - 27*g**2/7 - 29*g/7 - 10/7 = 0. Calculate g.
-1, 10
Factor -2*d**3/11 - 1046*d**2/11 - 137286*d/11 - 136242/11.
-2*(d + 1)*(d + 261)**2/11
Factor p**5/2 - 19*p**3 - 36*p**2 - 35*p/2.
p*(p - 7)*(p + 1)**2*(p + 5)/2
Determine t so that -t**4/7 + 9*t**2/7 + 4*t/7 - 12/7 = 0.
-2, 1, 3
Factor f**3/4 + 15*f**2/4 + 23*f/4 - 39/4.
(f - 1)*(f + 3)*(f + 13)/4
Factor 3*g**5/4 + 39*g**4/4 + 81*g**3/2 + 141*g**2/2 + 219*g/4 + 63/4.
3*(g + 1)**3*(g + 3)*(g + 7)/4
Let -4*p**3 + 28*p**2 - 64*p + 48 = 0. Calculate p.
2, 3
Factor 5*g**4/2 + 175*g**3/2 + 165*g**2.
5*g**2*(g + 2)*(g + 33)/2
Solve 2*m**2 + 62*m = 0.
-31, 0
What is j in -3*j**3 - 501*j**2 + 1014*j = 0?
-169, 0, 2
Factor -4*k**3 + 784*k**2 - 6080*k + 12032.
-4*(k - 188)*(k - 4)**2
Factor w**2 - 154*w + 5929.
(w - 77)**2
Let 32*y**5 + 304*y**4 + 386*y**3 + 4*y**2 - 94*y + 16 = 0. What is y?
-8, -1, 1/4
Factor -3*n**5 - 9*n**4 + 315*n**3 - 975*n**2.
-3*n**2*(n - 5)**2*(n + 1