 1760*t.
5*t*(t - 4)**2*(t + 22)
Factor 3*i**3/4 - 459*i**2 + 279063*i/4 + 282747/2.
3*(i - 307)**2*(i + 2)/4
Suppose w**5/4 + 10*w**4 + 123*w**3/2 + 127*w**2 + 433*w/4 + 33 = 0. Calculate w.
-33, -4, -1
Suppose 4*c**3/7 + 52*c**2/7 + 200*c/7 + 32 = 0. What is c?
-7, -4, -2
Factor 28*u**5 + 188*u**4 - 56*u**3.
4*u**3*(u + 7)*(7*u - 2)
Factor -d**3 - 223*d**2 - 12091*d + 38307.
-(d - 3)*(d + 113)**2
Factor 5*u**4/3 + 133*u**3/3 - 194*u**2/3 + 56*u/3.
u*(u - 1)*(u + 28)*(5*u - 2)/3
Factor 2*f**3/5 + 13*f**2/5 + 16*f/5 + 1.
(f + 1)*(f + 5)*(2*f + 1)/5
Factor -3*a**4 + 102*a**3 - 288*a**2 + 282*a - 93.
-3*(a - 31)*(a - 1)**3
Factor -3*w**4 + 156*w**3 - 150*w**2 - 156*w + 153.
-3*(w - 51)*(w - 1)**2*(w + 1)
Solve 2*q**3 - 52*q**2 + 98*q - 48 = 0.
1, 24
Find z, given that -2*z**3/11 + 40*z**2/11 - 214*z/11 + 16 = 0.
1, 8, 11
What is m in -4*m**3 + 12*m**2 = 0?
0, 3
Factor -4*o**2/7 + 2108*o/7 + 2112/7.
-4*(o - 528)*(o + 1)/7
Find g, given that -3*g**3 + 813*g**2 - 2418*g + 1608 = 0.
1, 2, 268
Suppose x**2/5 + 31*x/5 - 32/5 = 0. Calculate x.
-32, 1
Factor -5*f**4 - 155*f**3 - 1520*f**2 - 4080*f + 5760.
-5*(f - 1)*(f + 8)*(f + 12)**2
Determine g, given that -3*g**2 - 144*g - 756 = 0.
-42, -6
Factor 3*d**2/4 + 81*d/4 + 39/2.
3*(d + 1)*(d + 26)/4
Factor -2*t**5 + 32*t**4/7 - 22*t**3/7 + 4*t**2/7.
-2*t**2*(t - 1)**2*(7*t - 2)/7
Factor -2*h**2/13 - 20*h/13 - 32/13.
-2*(h + 2)*(h + 8)/13
Suppose -2*b**2 - 228*b - 6498 = 0. Calculate b.
-57
Determine q, given that q**4/4 - 3*q**3/4 + 3*q**2/4 - q/4 = 0.
0, 1
Factor 5*z**3 - 80*z**2 - 5*z + 80.
5*(z - 16)*(z - 1)*(z + 1)
Factor 9*y**2 - 33*y + 24.
3*(y - 1)*(3*y - 8)
Factor q**3 - 10*q**2 + 23*q - 14.
(q - 7)*(q - 2)*(q - 1)
Determine f so that -3*f**3 + 87*f**2 + 498*f + 408 = 0.
-4, -1, 34
What is l in -2*l**4/7 - 296*l**3/7 - 2100*l**2 - 35672*l - 33614 = 0?
-49, -1
What is w in w**3 + 9*w**2 = 0?
-9, 0
Suppose -d**3/5 - 34*d**2/5 - 64*d/5 = 0. Calculate d.
-32, -2, 0
Suppose -6*x**3/7 + 408*x**2/7 + 1710*x/7 + 1296/7 = 0. Calculate x.
-3, -1, 72
Find a, given that -7*a**4/3 - 1103*a**3 + 27770*a**2/3 - 20512*a + 15392/3 = 0.
-481, 2/7, 4
Factor 6*u**2/7 + 15*u/7 - 75/7.
3*(u + 5)*(2*u - 5)/7
Find l such that -l**4/3 + l**2 + 2*l/3 = 0.
-1, 0, 2
Suppose -14*s**4/3 - 10*s**3/3 + 4*s**2/3 = 0. Calculate s.
-1, 0, 2/7
Find t such that -t**2/4 - 5*t/2 = 0.
-10, 0
Factor -2*i**3/3 + 202*i**2/3 - 736*i + 2136.
-2*(i - 89)*(i - 6)**2/3
What is d in 3*d**3/4 + 2*d**2 + 3*d/4 - 1/2 = 0?
-2, -1, 1/3
Factor 6*l**3/11 + 114*l**2/11 - 246*l/11 + 126/11.
6*(l - 1)**2*(l + 21)/11
Find u, given that -18*u**4 - 962*u**3 - 1246*u**2/3 + 458*u - 212/3 = 0.
-53, -1, 2/9, 1/3
Let -r**2 + 256*r + 2112 = 0. What is r?
-8, 264
Find q such that -5*q**3 + 150*q**2 - 265*q - 420 = 0.
-1, 3, 28
Suppose m**3/5 + 111*m**2/5 + 2379*m/5 - 40931/5 = 0. Calculate m.
-61, 11
Suppose 2*n**2 - 832*n + 86528 = 0. Calculate n.
208
Solve -2*d**4 - 84*d**3 - 1202*d**2 - 6720*d - 12800 = 0 for d.
-16, -5
Factor -5*l**4 + 105*l**3 + 360*l**2 + 20*l - 480.
-5*(l - 24)*(l - 1)*(l + 2)**2
Suppose -2*w**4/7 - 8*w**3/7 - 10*w**2/7 - 4*w/7 = 0. Calculate w.
-2, -1, 0
Factor 4*b**5 + 8*b**4 - 16*b**3 - 32*b**2.
4*b**2*(b - 2)*(b + 2)**2
Factor 5*k**3 - 190*k**2 + 805*k + 21160.
5*(k - 23)**2*(k + 8)
Let 3*q**2 + 48*q + 45 = 0. Calculate q.
-15, -1
Let h**4 - 3*h**3 - 3*h**2 + 7*h + 6 = 0. Calculate h.
-1, 2, 3
Let 2*l**4/23 - 12*l**3/23 - 6*l**2/23 + 112*l/23 - 96/23 = 0. What is l?
-3, 1, 4
Suppose 147*t**3/4 - 567*t**2/2 + 720*t - 600 = 0. Calculate t.
2, 20/7
Factor m**5 - 518*m**4 + 67081*m**3.
m**3*(m - 259)**2
Factor -b**5/5 + b**4 - 8*b**2 + 16*b - 48/5.
-(b - 2)**4*(b + 3)/5
Let 2*h**2/3 - 1540*h/3 + 1538/3 = 0. Calculate h.
1, 769
Factor -605*u**2 - 880*u - 320.
-5*(11*u + 8)**2
Suppose 15*a**5/8 - 93*a**4/4 + 63*a**3/8 + 27*a**2/2 = 0. What is a?
-3/5, 0, 1, 12
Find p such that -2*p**2/5 + 34*p/5 + 276/5 = 0.
-6, 23
Suppose -3*n**5 - 528*n**4 - 23229*n**3 + 528*n**2 + 23232*n = 0. What is n?
-88, -1, 0, 1
Factor 20*n**3 + 3795*n**2 + 179550*n - 45125.
5*(n + 95)**2*(4*n - 1)
Factor 2*n**2 - 214*n/7 + 60/7.
2*(n - 15)*(7*n - 2)/7
Determine w, given that -15*w**4 - 111*w**3 - 192*w**2 - 60*w = 0.
-5, -2, -2/5, 0
Let -2*h**3/7 - 16*h**2/7 - 24*h/7 = 0. What is h?
-6, -2, 0
Solve 10*p**5/17 - 44*p**4/17 + 46*p**3/17 + 28*p**2/17 - 56*p/17 + 16/17 = 0 for p.
-1, 2/5, 1, 2
Suppose 9*j**5 - 78*j**4 + 204*j**3 - 54*j**2 - 405*j + 324 = 0. Calculate j.
-4/3, 1, 3
Find c, given that -c**2 - 8*c + 105 = 0.
-15, 7
Factor -5*r**3 + 530*r**2.
-5*r**2*(r - 106)
Solve o**2/2 + 79*o/2 - 40 = 0 for o.
-80, 1
Factor -l**4 - 87*l**3 + 177*l**2 - 89*l.
-l*(l - 1)**2*(l + 89)
Solve 5*s**4 - 15*s**3 - 50*s**2 + 120*s = 0 for s.
-3, 0, 2, 4
Suppose 3*q**5/2 - 21*q**4/4 - 9*q**3/4 + 75*q**2/4 - 69*q/4 + 9/2 = 0. Calculate q.
-2, 1/2, 1, 3
What is k in 2*k**3/7 - 44*k**2/7 + 206*k/7 + 36 = 0?
-1, 9, 14
Factor -2*y**3/15 - 1934*y**2/15 + 3874*y/15 - 646/5.
-2*(y - 1)**2*(y + 969)/15
Let -d**2/10 + 333*d - 554445/2 = 0. Calculate d.
1665
Solve -c**2/2 + 57*c - 220 = 0 for c.
4, 110
Factor -u**4/5 + 144*u**3/5 - 5038*u**2/5 - 10512*u/5 - 5329/5.
-(u - 73)**2*(u + 1)**2/5
Factor 2*n**2/7 + 82*n/7 + 60.
2*(n + 6)*(n + 35)/7
Factor -3*d**3 + 4752*d**2 - 2509056*d + 441593856.
-3*(d - 528)**3
Suppose -4*c**2 - 640*c - 25600 = 0. Calculate c.
-80
Factor 3*l**4 - 132*l**3 + 126*l**2 + 132*l - 129.
3*(l - 43)*(l - 1)**2*(l + 1)
Solve -2*n**2/7 + 32*n - 896 = 0 for n.
56
Find n, given that 2*n**4/3 + 22*n**3 + 252*n**2 + 1152*n + 1728 = 0.
-12, -6, -3
Determine y, given that y**5/3 + 3*y**4 + 20*y**3/3 + 4*y**2 = 0.
-6, -2, -1, 0
Factor 4*l**2 + 8*l - 60.
4*(l - 3)*(l + 5)
Factor -t**2/7 + 34*t/7 + 152/7.
-(t - 38)*(t + 4)/7
Factor 4*a**3 - 84*a**2 + 416*a.
4*a*(a - 13)*(a - 8)
Determine a, given that -4*a**2 - 256*a - 3420 = 0.
-45, -19
Factor -o**5/2 - 899*o**4/2 - 202499*o**3/2 - 201601*o**2/2.
-o**2*(o + 1)*(o + 449)**2/2
Solve -s**2 - 177*s - 1190 = 0.
-170, -7
Factor -2*m**2 + 404*m + 1648.
-2*(m - 206)*(m + 4)
Let -3*v**4 - 66*v**3 + 312*v**2 = 0. Calculate v.
-26, 0, 4
Factor -5*a**5 - 15*a**4 + 20*a**2.
-5*a**2*(a - 1)*(a + 2)**2
Factor -x**5 - 11*x**4 - 34*x**3 - 14*x**2 + 35*x + 25.
-(x - 1)*(x + 1)**2*(x + 5)**2
Find c, given that -2*c**2/9 - 278*c/9 - 92/3 = 0.
-138, -1
Factor 521284*s**2 - 14440*s + 100.
4*(361*s - 5)**2
Find t, given that 2*t**3 - 8*t**2/7 - 6*t/7 = 0.
-3/7, 0, 1
Factor 14*v**5 - 10*v**4 - 4*v**3.
2*v**3*(v - 1)*(7*v + 2)
Determine k so that -k**3 - 28*k**2 + 124*k - 128 = 0.
-32, 2
Factor -r**2/2 + 3*r/2 + 9.
-(r - 6)*(r + 3)/2
Find r, given that -4*r**5 + 4*r**4 + 120*r**3 - 216*r**2 - 756*r + 1620 = 0.
-5, -3, 3
Determine s so that -s**2 - 20*s = 0.
-20, 0
Let -363*o**5/2 - 957*o**4/2 + 192*o**3 + 708*o**2 - 264*o + 24 = 0. What is o?
-2, 2/11, 1
Factor k**3/2 - 1292*k**2 - 5171*k/2 - 1293.
(k - 2586)*(k + 1)**2/2
Let c**2 + 18*c - 19 = 0. What is c?
-19, 1
Suppose -3*p**2 + 1324*p - 438244/3 = 0. What is p?
662/3
Solve 2*g**5 + 4*g**4 - 52*g**3 - 104*g**2 + 50*g + 100 = 0.
-5, -2, -1, 1, 5
Factor -i**3/6 - 241*i**2/3 - 961*i/6 - 80.
-(i + 1)**2*(i + 480)/6
Factor -h**2/2 - 45*h + 91/2.
-(h - 1)*(h + 91)/2
Suppose 2*t**3 - 122*t**2 + 1664*t + 6144 = 0. Calculate t.
-3, 32
Solve 2*z**4 - 10*z**3 - 30*z**2 + 10*z + 28 = 0.
-2, -1, 1, 7
Factor -6*a**4/7 - 288*a**3/7 + 900*a**2/7 - 912*a/7 + 306/7.
-6*(a - 1)**3*(a + 51)/7
Solve -2*f**3/9 - 68*f**2/9 - 56*f + 144 = 0.
-18, 2
Factor q**2/4 + 217*q/4 + 54.
(q + 1)*(q + 216)/4
Let 3*v**5 + 3*v**4 - 27*v**3 - 27*v**2 = 0. Calculate v.
-3, -1, 0, 3
Suppose -2*m**2 - 86*m + 2688 = 0. Calculate m.
-64, 21
Factor -2*y**3/13 + 28*y**2/13 + 98*y/13 + 68/13.
-2*(y - 17)*(y + 1)*(y + 2)/13
Factor -j**2/4 + 9*j/4 - 2.
-(j - 8)*(j - 1)/4
What is b in 2*b**2/11 - 144*b + 28512 = 0?
396
Solve d**4/2 + 6*d**3 + 11*d**2 - 42*d + 49/2 = 0 for d.
-7, 1
Find d such that d**3/2 + 275*d**2/8 + 893*d/2 - 10469/2 = 0.
-38, 29/4
What is p in 5*p**3/9 + 44*p**2/9 - p = 0?
-9, 0, 1/5
Factor -2*g**4/25 + 584*g**3/25 + 1174*g**2/25 + 588*g/25.
-2*g*(g - 294)*(g + 1)**2/25
Suppose -b**3/2 - 281*b**2/2 - 140*b = 0. What is b?
-280, -1, 0
Suppose -j**5/5 + 16*j**4/5 - 46*j**3/5 - 144*j**2/5 - 81*j/5 = 0. Calculate j.
-1, 0, 9
D