
-1, -2/7, -45/388, 0
Suppose -d**5/3 + 114*d**4 - 5306*d**3/3 + 9852*d**2 - 23535*d + 20538 = 0. Calculate d.
3, 7, 326
Find u, given that u**4/5 - 1331*u**3/5 - 40773*u**2/5 - 77549*u/5 - 38108/5 = 0.
-28, -1, 1361
Suppose 9*c**3/2 + 1124*c**2 - 7331*c/2 + 759 = 0. Calculate c.
-253, 2/9, 3
Factor 3*x**3 - 2565*x**2 - 25875*x - 64875.
3*(x - 865)*(x + 5)**2
Factor 3*c**4/4 - 4275*c**3/4 + 372600*c**2 + 5832000*c.
3*c*(c - 720)**2*(c + 15)/4
Let -2*j**2/11 - 60090*j/11 - 120172/11 = 0. Calculate j.
-30043, -2
Let -2*n**5/13 + 40*n**4/13 - 254*n**3/13 + 472*n**2/13 + 256*n/13 - 512/13 = 0. What is n?
-1, 1, 4, 8
Determine j, given that 45602*j**2 + 147376*j + 119072 = 0.
-244/151
What is l in 3*l**3 + 27*l**2 - 144*l - 1344 = 0?
-8, 7
Suppose -5*k**3 + 3508015*k**2 + 7016045*k + 3508025 = 0. Calculate k.
-1, 701605
Solve t**2 - 158972*t + 6318024196 = 0 for t.
79486
Let -j**4/7 + 179*j**3/7 + 1125*j**2/7 - 2783*j/7 + 1480/7 = 0. What is j?
-8, 1, 185
Let f**2/2 + 444861*f/2 - 222431 = 0. Calculate f.
-444862, 1
Determine x, given that -2*x**2/7 + 556*x/7 - 1650/7 = 0.
3, 275
Solve -n**2/3 - 401*n - 282560/3 = 0.
-883, -320
Factor -i**3 + 735*i**2 - 153567*i + 6550497.
-(i - 339)**2*(i - 57)
Factor 3*s**4/5 + 495006*s**3/5 + 297000*s**2 + 1484994*s/5 + 494997/5.
3*(s + 1)**3*(s + 164999)/5
Factor 16*g**2 + 33679*g - 2105.
(g + 2105)*(16*g - 1)
Factor l**2 - 153*l - 59428.
(l - 332)*(l + 179)
Find o, given that -3155425875*o**3 - 866988450*o**2 + 9780160*o - 27040 = 0.
-2/7, 52/9495
Factor -2*p**3 + 228*p**2 - 5850*p.
-2*p*(p - 75)*(p - 39)
What is t in t**2/8 + 37529*t/8 - 18765/4 = 0?
-37530, 1
Solve w**4/4 + 435*w**3/2 + 190953*w**2/4 + 187489*w = 0 for w.
-433, -4, 0
Determine n so that -5*n**4/8 + 1167*n**3/8 + 1965*n**2/2 + 1796*n + 960 = 0.
-4, -8/5, -1, 240
Solve -b**3 - 349*b**2/2 + 2748*b + 2835/2 = 0.
-189, -1/2, 15
Solve -b**3/3 + 2*b**2 + 529*b/3 - 1058 = 0.
-23, 6, 23
Solve g**3 + 22571*g**2 = 0.
-22571, 0
Factor z**2/7 + 80512*z/7 + 1620545536/7.
(z + 40256)**2/7
Factor -5*h**5 - 195*h**4 - 895*h**3 - 1565*h**2 - 1200*h - 340.
-5*(h + 1)**3*(h + 2)*(h + 34)
Suppose -n**5/4 - 7*n**4/4 + 9*n**3 + 13*n**2 - 20*n = 0. Calculate n.
-10, -2, 0, 1, 4
Let -2*h**5/3 - 20*h**4 + 590*h**3/3 + 8600*h**2/3 + 2184*h - 15680/3 = 0. Calculate h.
-35, -8, -2, 1, 14
Find b, given that -b**5/2 + 1653*b**4/2 - 1645*b**3/2 - 11565*b**2/2 + 823*b + 4956 = 0.
-2, -1, 1, 3, 1652
Determine p, given that 32*p**2/15 + 2057456*p/15 + 33071290562/15 = 0.
-128591/4
Find u, given that u**2/3 - 36126*u + 978815907 = 0.
54189
Solve -5*b**3 - 125915*b**2 + 251850*b = 0.
-25185, 0, 2
Factor 48*z**3 - 12504*z**2 + 18675*z - 6993.
3*(z - 259)*(4*z - 3)**2
Suppose -3*v**4/7 + 87180*v**3/7 - 633449874*v**2/7 + 1266638220*v/7 - 633275523/7 = 0. Calculate v.
1, 14529
Let 2*d**3/13 - 3702*d**2/13 - 63512*d/13 = 0. What is d?
-17, 0, 1868
Factor 2*l**2 - 762*l - 20300.
2*(l - 406)*(l + 25)
Factor 2*f**2 - 2664340*f + 887338454450.
2*(f - 666085)**2
Solve 3*f**3 + 6498*f**2 - 111177*f + 340548 = 0 for f.
-2183, 4, 13
Solve -4*f**3 - 156*f**2 - 864*f + 1024 = 0 for f.
-32, -8, 1
Find r, given that 10*r**5 - 175*r**4 + 605*r**3 + 820*r**2 - 1980*r + 720 = 0.
-2, 1/2, 1, 6, 12
Suppose -5*d**4 - 3295*d**3/4 + 14345*d**2/4 - 845*d = 0. What is d?
-169, 0, 1/4, 4
Suppose 2*i**3/7 + 14160*i**2 - 396504*i/7 + 396512/7 = 0. Calculate i.
-49564, 2
Factor -12*w**3 - 2480*w**2 + 5844*w - 1672.
-4*(w - 2)*(w + 209)*(3*w - 1)
Factor 10*o**4 - 234*o**3 + 512*o**2 - 168*o.
2*o*(o - 21)*(o - 2)*(5*o - 2)
Suppose -3*f**4 + 1542*f**3 - 207135*f**2 + 2298156*f - 3780060 = 0. Calculate f.
2, 10, 251
Solve -75*q**2/4 + 1749*q + 4896 = 0 for q.
-68/25, 96
What is n in 2*n**5/9 + 88*n**4/9 - 1024*n**3 + 44380*n**2/9 - 61474*n/9 + 8740/3 = 0?
-95, 1, 3, 46
Factor -o**4/3 - 8*o**3/3 + o**2/3 + 8*o/3.
-o*(o - 1)*(o + 1)*(o + 8)/3
What is r in -8*r**2/15 + 1178*r/15 - 174 = 0?
9/4, 145
Factor 5*p**4 + 1115*p**3.
5*p**3*(p + 223)
Solve 5*w**5 - 2255*w**4 + 15595*w**3 - 24445*w**2 + 11100*w = 0 for w.
0, 1, 5, 444
What is k in 5*k**3 + 8480*k**2 - 648055*k + 12115650 = 0?
-1770, 37
Solve 3*o**2/2 - 16536*o + 33066 = 0 for o.
2, 11022
Solve y**5/4 + 5*y**4/4 - 37*y**3/4 + 7*y**2/4 + 33*y - 27 = 0 for y.
-9, -2, 1, 2, 3
Suppose -4*p**4 + 168*p**3 + 33804*p**2 - 746928*p - 79067664 = 0. What is p?
-57, 78
Factor 2*b**2/7 - 47884*b/7 + 286609682/7.
2*(b - 11971)**2/7
Factor 28*t**3 + 580*t**2 + 2656*t - 3264.
4*(t - 1)*(t + 12)*(7*t + 68)
Let 2*t**2 + 3808*t + 3806 = 0. What is t?
-1903, -1
Solve 8*q**5/13 + 498*q**4/13 + 2020*q**3/13 + 2810*q**2/13 + 1512*q/13 + 232/13 = 0 for q.
-58, -2, -1, -1/4
Determine r, given that -3*r**4 + 27*r**3 + 672*r**2 - 108*r - 2640 = 0.
-11, -2, 2, 20
Factor -u**3/4 + 107*u**2/4 - 157*u/2 + 52.
-(u - 104)*(u - 2)*(u - 1)/4
What is c in -62*c**5/5 + 122*c**4/5 + 66*c**3/5 - 122*c**2/5 - 4*c/5 = 0?
-1, -1/31, 0, 1, 2
Let -y**2/3 - 1219*y/3 + 367250/3 = 0. What is y?
-1469, 250
Determine g so that 2*g**4/17 + 316*g**3/17 - 330*g**2/17 - 1908*g/17 = 0.
-159, -2, 0, 3
Factor -3*r**3 - 1560*r**2 - 160176*r + 11614464.
-3*(r - 48)*(r + 284)**2
Let 66*l**5/7 + 2633*l**4/7 - 725*l**3/7 - 18164*l**2/7 - 14620*l/7 - 2400/7 = 0. What is l?
-40, -2, -2/3, -5/22, 3
Factor x**2/4 - 7975*x/4 - 7977/2.
(x - 7977)*(x + 2)/4
Factor -y**3/12 + 445*y**2/4 + 894*y + 5372/3.
-(y - 1343)*(y + 4)**2/12
Factor w**4/5 - 61506*w**3/5 - 246036*w**2/5 - 49208*w.
w*(w - 61510)*(w + 2)**2/5
Factor 2*h**2/5 + 35916*h/5 - 143696/5.
2*(h - 4)*(h + 17962)/5
Factor -25*y**5/7 - 890*y**4/7 + 4279*y**3/7 - 4840*y**2/7.
-y**2*(y + 40)*(5*y - 11)**2/7
Find s such that 3*s**5 + 351*s**4 + 1947*s**3 - 5679*s**2 - 1950*s + 5328 = 0.
-111, -8, -1, 1, 2
Factor -2*d**2 + 6408*d - 19206.
-2*(d - 3201)*(d - 3)
Factor -5*i**3 - 550*i**2 + 48435*i - 47880.
-5*(i - 57)*(i - 1)*(i + 168)
Factor i**2/2 - 69*i - 715/2.
(i - 143)*(i + 5)/2
Factor 2*p**2/13 - 50330*p/13 + 201288/13.
2*(p - 25161)*(p - 4)/13
Factor -3*k**3/5 - 1282467*k**2/5 - 27411898521*k + 27412155015.
-3*(k - 1)*(k + 213745)**2/5
Determine o, given that -o**2/7 + 358*o/7 - 5797/7 = 0.
17, 341
Factor -2*r**2/5 + 1982*r/5 + 259272/5.
-2*(r - 1108)*(r + 117)/5
Suppose -q**4 + 17*q**3 - 87*q**2 + 135*q = 0. What is q?
0, 3, 5, 9
Suppose -5*r**4 - 1015*r**3 + 9440*r**2 - 21200*r = 0. What is r?
-212, 0, 4, 5
Find u, given that -3*u**3 + 5088*u**2 + 5109*u - 30546 = 0.
-3, 2, 1697
What is i in -i**4 - 719*i**3 - 1433*i**2 + 719*i + 1434 = 0?
-717, -2, -1, 1
Factor 4*u**2/3 + 592780*u/3 - 395192.
4*(u - 2)*(u + 148197)/3
Suppose 51*d**2/7 + 6597*d/7 - 1572 = 0. What is d?
-131, 28/17
Factor 28*c**2 + 143116*c + 143088.
4*(c + 1)*(7*c + 35772)
Factor 1058*j**3 - 309902*j**2 + 22537840*j + 22848800.
2*(j + 1)*(23*j - 3380)**2
What is n in n**3 - 195*n**2 + 10488*n - 93104 = 0?
11, 92
Determine z so that -2*z**3 - 1862*z**2 + 11228*z - 14992 = 0.
-937, 2, 4
Factor c**3 + 134*c**2 + 4160*c + 37600.
(c + 20)**2*(c + 94)
Factor 28*m**2 - 1444*m - 3672.
4*(m - 54)*(7*m + 17)
Solve 4*x**3/3 - 6420*x**2 + 6416*x + 38512/3 = 0 for x.
-1, 2, 4814
Find c, given that 4*c**5 + 1724*c**4 + 5116*c**3 - 8572*c**2 - 5120*c + 6848 = 0.
-428, -4, -1, 1
Factor -10*k**3/11 - 330996*k**2/11 - 2738892600*k/11 + 1095610000/11.
-2*(k + 16550)**2*(5*k - 2)/11
Factor s**2 + 2451*s - 7362.
(s - 3)*(s + 2454)
What is f in -28*f**3/5 + 703*f**2/5 - 747*f/5 + 72/5 = 0?
3/28, 1, 24
Determine b so that b**5/6 + 112*b**4/3 - 1181*b**3/2 + 5099*b**2/3 + 18928*b/3 - 15296 = 0.
-239, -3, 2, 8
Suppose -h**4 + 259*h**3 - 4757*h**2 - 5539*h + 10038 = 0. Calculate h.
-2, 1, 21, 239
Factor -4*h**3 - 6976*h**2 - 13936*h.
-4*h*(h + 2)*(h + 1742)
Factor -58*i**2/5 - 10312*i/5 + 2136/5.
-2*(i + 178)*(29*i - 6)/5
Let 2*a**5 + 378*a**4 - 14586*a**3 + 128894*a**2 = 0. Calculate a.
-223, 0, 17
Solve -8*j**5/3 + 66*j**4 + 2902*j**3 - 15884*j**2/3 - 1504*j = 0 for j.
-24, -1/4, 0, 2, 47
Factor 2*o**2 - 23616*o - 70866.
2*(o - 11811)*(o + 3)
Determine i, given that -i**3/6 + 59*i**2/3 - 1670*i/3 + 1036 = 0.
2, 42, 74
Suppose 7*v**3/8 + 1859*v**2/2 + 47669*v/2 + 6734 = 0. Calculate v.
-1036, -26, -2/7
Find w, given that 5*w**3 - 25245*w**2 + 75700*w - 50460 = 0.
1, 2, 5046
Suppose y**5 - 192723*y**4 + 9286020479*y**