
72, 3457
Solve 2*v**4/9 + 280*v**3/9 - 2140*v**2/9 - 4040*v/3 - 1078 = 0 for v.
-147, -3, -1, 11
Let -2*i**5/7 - 12*i**4/7 + 40*i**3/7 + 60*i**2/7 - 38*i/7 - 48/7 = 0. Calculate i.
-8, -1, 1, 3
Factor -2*w**2/3 + 3808*w + 91520/3.
-2*(w - 5720)*(w + 8)/3
Determine a, given that a**5 + 79*a**4/2 + 18*a**3 - 59*a**2 - 19*a + 39/2 = 0.
-39, -1, 1/2, 1
Determine p, given that 2*p**2/3 - 8552*p - 51320/3 = 0.
-2, 12830
Suppose -3*u**4/4 + 999*u**3/4 - 78489*u**2/4 + 1802493*u/4 = 0. What is u?
0, 51, 231
Factor -v**2/8 - 987*v/2 - 183347/8.
-(v + 47)*(v + 3901)/8
Factor -q**5 + 27*q**4 + 87*q**3 + 89*q**2 + 30*q.
-q*(q - 30)*(q + 1)**3
Factor -2*h**3 - 3052*h**2 + 8*h + 12208.
-2*(h - 2)*(h + 2)*(h + 1526)
Factor -2*s**3 + 1650*s**2 + 6642*s - 8290.
-2*(s - 829)*(s - 1)*(s + 5)
Factor -a**3 + 13417*a**2 - 45104431*a + 673551015.
-(a - 6701)**2*(a - 15)
Find d, given that d**4/5 + 41*d**3 + 5009*d**2/5 + 9407*d/5 + 4602/5 = 0.
-177, -26, -1
Factor 32*x**3 - 688*x**2 + 4738*x - 10580.
2*(x - 10)*(4*x - 23)**2
Determine r so that -15*r**5 + 1940*r**4 + 15595*r**3 + 21860*r**2 + 8220*r = 0.
-6, -1, -2/3, 0, 137
Let -q**5/3 + 428*q**4 + 4305*q**3 + 32350*q**2/3 = 0. Calculate q.
-5, 0, 1294
Factor 27*k**3 + 263958*k**2 + 322581*k + 58650.
3*(k + 1)*(k + 9775)*(9*k + 2)
Factor -x**3/2 - 224*x**2 - 19247*x/2 - 9400.
-(x + 1)*(x + 47)*(x + 400)/2
Find u, given that 4*u**2 + 18468*u = 0.
-4617, 0
Determine z so that 3*z**4/5 + 21627*z**3/5 - 64899*z**2/5 + 12981*z - 21636/5 = 0.
-7212, 1
Factor 8*j**4 - 16634*j**3 + 4158*j**2.
2*j**2*(j - 2079)*(4*j - 1)
Solve -14*m**4/9 - 3328*m**3/9 - 115864*m**2/9 + 554848*m/9 - 49664/3 = 0.
-194, -48, 2/7, 4
Factor 2*n**4/3 - 10*n**3/3 + 2*n**2 + 6*n.
2*n*(n - 3)**2*(n + 1)/3
Determine s, given that s**4/7 - 32*s**3 - 225*s**2/7 = 0.
-1, 0, 225
Let 3*h**4/5 + 27726*h**3/5 + 64199403*h**2/5 + 127983216*h + 319611840 = 0. Calculate h.
-4616, -5
Determine q, given that -8*q**5/5 + 19212*q**4/5 + 2921088*q**3/5 + 291148*q**2 = 0.
-143, -1/2, 0, 2545
Let 2*c**3 + 2320*c**2 + 873754*c + 105638924 = 0. Calculate c.
-449, -262
Suppose 3*t**5 + 867*t**4 + 828*t**3 - 10452*t**2 - 24240*t - 13824 = 0. What is t?
-288, -2, -1, 4
Let -2*n**4 + 202*n**3 + 228*n**2 - 2448*n = 0. Calculate n.
-4, 0, 3, 102
Find g such that 4*g**4 + 820*g**3 + 11508*g**2 + 19548*g - 184680 = 0.
-190, -9, 3
Factor -2*d**3/9 - 5320*d**2/9 - 3537800*d/9.
-2*d*(d + 1330)**2/9
Factor 24*h**4 - 111*h**3 + 156*h**2 - 60*h.
3*h*(h - 2)**2*(8*h - 5)
Suppose -j**2/5 - 300922*j/5 - 22638512521/5 = 0. What is j?
-150461
Suppose -12*p**4 - 13412*p**3 + 707456*p**2/3 - 296528*p + 290560/3 = 0. What is p?
-1135, 2/3, 16
Factor 2*o**5/11 - 56*o**4/11 - 10266*o**3/11.
2*o**3*(o - 87)*(o + 59)/11
Suppose 2*w**3/7 + 8*w**2 + 278*w/7 - 48 = 0. Calculate w.
-21, -8, 1
Factor 9*l**3 - 71418*l**2 - 190500*l - 95256.
3*(l - 7938)*(l + 2)*(3*l + 2)
Factor 11*w**3 - 23704*w**2 + 12780759*w - 11599290.
(w - 1077)**2*(11*w - 10)
Find j, given that j**4/3 - 419*j**3/3 - 1687*j**2/3 - 2113*j/3 - 282 = 0.
-2, -1, 423
Factor -20*p**3 - 948*p**2 - 376*p.
-4*p*(p + 47)*(5*p + 2)
Factor -4*o**4 + 88*o**3 + 84*o**2 - 3528*o.
-4*o*(o - 21)*(o - 7)*(o + 6)
Find s such that -2*s**3 + 41*s**2/3 + 2*s - 41/3 = 0.
-1, 1, 41/6
Factor 4*i**3 + 344*i**2 - 1060*i + 712.
4*(i - 2)*(i - 1)*(i + 89)
Factor -5*t**3 + 2160*t**2 + 8780*t - 26160.
-5*(t - 436)*(t - 2)*(t + 6)
What is x in 2*x**4 - 814*x**3 + 16410*x**2 - 76186*x - 93412 = 0?
-1, 11, 386
Find r, given that -3*r**4/2 + 3837*r**3/8 + 38829*r**2/4 + 220257*r/8 + 18306 = 0.
-16, -9/4, -1, 339
Determine q so that 15*q**2/4 + 206507*q/8 + 68829/4 = 0.
-68829/10, -2/3
Factor -2*i**2/5 - 163898*i/15 - 54632/15.
-2*(i + 27316)*(3*i + 1)/15
Let -2*o**2/3 - 306*o + 22172/3 = 0. Calculate o.
-482, 23
Solve 2*c**4/5 + 2404*c**3/5 - 4832*c**2/5 - 19264*c/5 = 0.
-1204, -2, 0, 4
Determine u so that -3*u**2 + 1938*u - 5787 = 0.
3, 643
Find j such that 2*j**4/7 - 1566*j**3/7 + 47290*j**2 - 9491250*j/7 + 5625000 = 0.
5, 28, 375
What is p in p**3 + 599*p**2 + 1195*p + 597 = 0?
-597, -1
Factor 27*d**3/5 - 1294011*d**2/5 + 1725312*d/5 - 115020.
3*(d - 47925)*(3*d - 2)**2/5
Factor -2*c**2/21 + 38536*c/21 - 185627912/21.
-2*(c - 9634)**2/21
Factor 5*w**2/2 - 7498*w + 32967/2.
(w - 2997)*(5*w - 11)/2
Factor 292*z**3 + 308*z**2 + 16*z.
4*z*(z + 1)*(73*z + 4)
Factor 4*o**3 + 9612*o**2 + 5807904*o + 40185712.
4*(o + 7)*(o + 1198)**2
What is r in -r**2/10 + 90178*r/5 - 4066035842/5 = 0?
90178
Determine p so that 44*p**5 + 339028*p**4/5 - 2027764*p**3/5 + 2939564*p**2/5 + 81624*p - 445536/5 = 0.
-1547, -2/5, 4/11, 3
Factor -5*u**2 + 645715*u + 645720.
-5*(u - 129144)*(u + 1)
Let 30*t**5 + 177*t**4 - 12624*t**3 + 79224*t**2 - 5280*t - 15600 = 0. Calculate t.
-26, -2/5, 1/2, 10
Factor -p**4/3 + 1646*p**3 - 2709316*p**2 + 4459534136*p/3.
-p*(p - 1646)**3/3
Factor -a**2/3 + 4660*a/3 + 103004/3.
-(a - 4682)*(a + 22)/3
Find c such that 42*c**4/5 - 326*c**3/3 - 3802*c**2/15 - 502*c/5 + 36 = 0.
-9/7, -1, 2/9, 15
Find w, given that -5*w**2 + 79980*w - 159940 = 0.
2, 15994
Determine u so that -5*u**3 + 4345*u**2 + 84270*u + 79920 = 0.
-18, -1, 888
Find r such that 136*r**5 - 1370*r**4 - 6978*r**3 - 7036*r**2 + 872*r + 336 = 0.
-2, -3/17, 1/4, 14
Solve w**3/2 - 111*w**2/2 - 566*w + 3120 = 0.
-13, 4, 120
Suppose 2*l**3/13 - 160*l**2/13 + 2914*l/13 - 212 = 0. What is l?
1, 26, 53
Factor 4*k**2 - 4196*k - 25320.
4*(k - 1055)*(k + 6)
What is p in -p**4/2 - 49*p**3/2 - 211*p**2 + 812*p - 576 = 0?
-36, -16, 1, 2
Factor 4*k**3/3 - 5060*k**2 + 75776*k/3 + 30320.
4*(k - 3790)*(k - 6)*(k + 1)/3
Factor -5*h**3 - 100*h**2 - 85*h + 190.
-5*(h - 1)*(h + 2)*(h + 19)
Factor -21*p**2/5 - 44853*p/5 - 44832/5.
-3*(p + 1)*(7*p + 14944)/5
Suppose 3*r**3/4 + 753*r**2 - 15117*r/4 + 9081/2 = 0. Calculate r.
-1009, 2, 3
Solve 49*q**5/5 - 644*q**4 + 52753*q**3/5 + 9562*q**2/5 - 30452*q - 21160 = 0 for q.
-1, 2, 230/7
What is s in s**2/5 + 81*s/5 - 86 = 0?
-86, 5
Solve 2*g**2 - 11516*g - 46096 = 0.
-4, 5762
Factor -16*n**4 - 866*n**3 + 10112*n**2.
-2*n**2*(n + 64)*(8*n - 79)
Factor w**3 + 51*w**2 + 560*w - 612.
(w - 1)*(w + 18)*(w + 34)
Solve 10315*d**3 + 51585*d**2 + 61940*d + 60 = 0.
-3, -2, -2/2063
Factor -3*o**3 + 7020*o**2 + 3*o - 7020.
-3*(o - 2340)*(o - 1)*(o + 1)
Factor -2*n**4/5 + 816*n**3/5 - 22512*n**2 + 5458624*n/5 - 28873248/5.
-2*(n - 134)**3*(n - 6)/5
Factor -2*l**3/5 - 1476*l**2/5.
-2*l**2*(l + 738)/5
Factor -2*a**2/3 + 722*a/3 - 19256/3.
-2*(a - 332)*(a - 29)/3
Solve -4*s**4 - 1112*s**3 - 95524*s**2 - 2535360*s - 20793600 = 0 for s.
-120, -19
Let o**4 + 8*o**3 + 3*o**2 - 72*o - 108 = 0. What is o?
-6, -3, -2, 3
What is t in -t**5/10 - 15177*t**4/5 + 3*t**3/10 + 45532*t**2/5 + 30354*t/5 = 0?
-30354, -1, 0, 2
Solve 4*b**3/9 - 690788*b**2/9 + 9941302804*b/3 + 3313844356 = 0 for b.
-1, 86349
Factor 4*w**2/7 - 6786152*w/7 + 2878241185444/7.
4*(w - 848269)**2/7
What is l in 11*l**4/3 - 22784*l**3 + 124247*l**2/3 - 14494*l - 12424/3 = 0?
-2/11, 1, 6212
What is s in 2*s**2/5 + 70056*s/5 + 140104/5 = 0?
-35026, -2
Factor 12*j**4 + 560*j**3 + 368*j**2.
4*j**2*(j + 46)*(3*j + 2)
Determine q so that -3*q**2/5 - 783*q/5 + 30186 = 0.
-390, 129
What is y in -78*y**3/17 - 380*y**2/17 - 224*y/17 + 192/17 = 0?
-4, -4/3, 6/13
Factor j**4 + 2040*j**3 - 4084*j**2.
j**2*(j - 2)*(j + 2042)
Suppose 3*i**4 - 60*i**3 - 441*i**2 - 702*i = 0. Calculate i.
-3, 0, 26
Suppose -u**3/3 - 814*u**2/3 - 171200*u/3 - 2240000/3 = 0. What is u?
-400, -14
Find o, given that 2*o**4 + 1482*o**3 - 25612*o**2 + 121152*o - 97024 = 0.
-758, 1, 8
Factor -p**5/8 + 35*p**4/8 - 81*p**3/8 - 463*p**2/8 - 269*p/4 - 24.
-(p - 32)*(p - 6)*(p + 1)**3/8
Factor -2*d**2 + 884*d + 11830.
-2*(d - 455)*(d + 13)
Find q, given that 25*q**2 - 17140*q + 10275 = 0.
3/5, 685
Find y such that -348*y**4 - 80744*y**3 - 4602764*y**2 + 9421776*y + 219024 = 0.
-117, -2/87, 2
Factor 5*a**2 + 31455*a + 219940.
5*(a + 7)*(a + 6284)
Find j such that 81*j**5/4 + 792*j**4 + 15847*j**3/4 - 3998*j**2 + 924*j = 0.
-33, -7, 0, 4/9
Factor 9*w**4 + 337*w**3 + 472*w**2 + 144*w.
w*(w + 1)*(w + 36)*(9*w + 4)
Solve -b**4 - 834*b**3 - 173880*b**2 + 7506*b + 1565001 = 0.
-417, -3, 3
Factor 5*b**3/4 - 1045*b**2/2 - 6405*b - 19350.
5*(b - 430)*(b + 6)**2/4
Find w such that -3