ne k so that 3*k**4/2 + 223*k**3/3 + 3266*k**2/3 + 11572*k/3 - 1936 = 0.
-22, -6, 4/9
Let -2*t**3 + 2050*t**2 + 6164*t + 4112 = 0. Calculate t.
-2, -1, 1028
Find n such that 3*n**4/4 - 69*n**3/2 + 432*n**2 - 1512*n = 0.
0, 6, 12, 28
Suppose -4*p**4/3 + 288*p**3 - 12020*p**2 - 154736*p/3 - 52752 = 0. Calculate p.
-2, 63, 157
Factor 4*x**4 - 477*x**3 - 360*x**2.
x**2*(x - 120)*(4*x + 3)
Solve 3*z**4 - 4851*z**3 + 4845*z**2 + 4851*z - 4848 = 0 for z.
-1, 1, 1616
Factor 4*t**2 - 316528*t + 6261873424.
4*(t - 39566)**2
Suppose -196*d**4 - 19432*d**3 + 17184*d**2 + 38528*d + 12800 = 0. What is d?
-100, -4/7, 2
Factor -t**2 - 438*t - 43992.
-(t + 156)*(t + 282)
Factor -2*t**2/3 - 148124*t/3 - 2742589922/3.
-2*(t + 37031)**2/3
Determine a, given that -a**5/4 + 12*a**4 - 645*a**3/4 + 1675*a**2/2 - 1500*a = 0.
0, 5, 8, 30
Factor -2*w**2 - 1098*w + 45864.
-2*(w - 39)*(w + 588)
Find g, given that -3*g**2/2 - 633033*g/2 - 633027 = 0.
-211009, -2
Factor 4*z**3/9 + 8152*z**2/9 - 16340*z/3 + 8176.
4*(z - 3)**2*(z + 2044)/9
Determine a so that -2*a**5 + 308*a**4 - 15632*a**3 + 293920*a**2 - 2034592*a + 3013696 = 0.
2, 14, 62
Factor 5*f**2 - 2371340*f + 281162669780.
5*(f - 237134)**2
Suppose -2*q**2/7 + 130*q/7 + 264 = 0. What is q?
-12, 77
Find s, given that -238*s**4/9 + 56072*s**3/9 + 135766*s**2/9 + 88024*s/9 + 952 = 0.
-9/7, -1, -2/17, 238
Determine v, given that 32*v**2/3 - 57724*v/3 - 7216/3 = 0.
-1/8, 1804
Factor -2*f**3 - 40*f**2 + 78152*f + 313120.
-2*(f - 190)*(f + 4)*(f + 206)
Factor r**2/2 - 7732*r + 15462.
(r - 15462)*(r - 2)/2
Find z, given that 2*z**5 + 8348*z**4/3 + 2892436*z**3/3 - 7931896*z**2/3 - 18477470*z - 5829708 = 0.
-697, -3, -1/3, 6
Find v such that -4*v**5/9 - 2824*v**4 - 5938272*v**3 - 4040123832*v**2 + 194089732740*v = 0.
-2133, 0, 45
Factor d**4 + 1416*d**3 + 508294*d**2 + 4977240*d + 12355225.
(d + 5)**2*(d + 703)**2
Factor 6*k**3/11 + 1140*k**2/11 - 2298*k/11 + 1152/11.
6*(k - 1)**2*(k + 192)/11
Factor -i**3 - 6529*i**2 - 6528*i.
-i*(i + 1)*(i + 6528)
Determine l, given that -4*l**5 + 112*l**4 - 1060*l**3 + 4408*l**2 - 7936*l + 4480 = 0.
1, 4, 5, 14
Suppose -3*z**5 + 2049*z**4 - 40176*z**3 + 263508*z**2 - 637248*z + 509184 = 0. What is z?
2, 8, 663
Solve -3*f**3 - 1599*f**2 + 1620*f + 9612 = 0.
-534, -2, 3
Factor 5*y**3 + 190*y**2 - 1275*y + 1980.
5*(y - 3)**2*(y + 44)
Factor 2*d**4 + 1352*d**3 + 2690*d**2 - 4044*d.
2*d*(d - 1)*(d + 3)*(d + 674)
What is m in m**2 + 243*m + 3420 = 0?
-228, -15
Solve 2*c**4/3 + 290*c**3 + 284*c**2 - 6968*c/3 - 3472 = 0.
-434, -2, 3
Factor 5*j**3 + 444*j**2/5 + 1017*j/5 - 54.
(j + 3)*(j + 15)*(25*j - 6)/5
Factor 2*v**3 + 45684*v**2.
2*v**2*(v + 22842)
Factor 4*u**5 + 52296*u**4 + 170772516*u**3 - 1026047520*u**2 + 1539777600*u.
4*u*(u - 3)**2*(u + 6540)**2
Find u such that 3*u**2/5 - 69*u/5 + 126/5 = 0.
2, 21
Solve -5*x**5/6 + 2*x**4 + 68*x**3/3 + 29*x**2 + 13*x/6 - 7 = 0 for x.
-3, -1, 2/5, 7
Factor o**3 - 74*o**2 - 480*o.
o*(o - 80)*(o + 6)
Determine a, given that a**2/5 - 3599*a/5 - 7202/5 = 0.
-2, 3601
Determine j so that 4*j**2 + 21388*j + 42760 = 0.
-5345, -2
Factor 88*k**2 + 4146*k - 28044.
2*(k - 6)*(44*k + 2337)
Solve 2*t**3/15 + 21832*t**2/5 + 65494*t/15 = 0 for t.
-32747, -1, 0
Find l, given that 4*l**2 - 2264*l - 468188 = 0.
-161, 727
Factor 2*k**2/11 - 285012*k/11 + 10153980018/11.
2*(k - 71253)**2/11
Find c such that c**3 - 18142*c**2 + 82283041*c = 0.
0, 9071
Suppose -p**5 + 25*p**4 - 89*p**3 + 107*p**2 - 42*p = 0. Calculate p.
0, 1, 2, 21
Solve -5*l**3 + 132835*l**2 - 882057575*l - 2647368375 = 0.
-3, 13285
Factor q**3/6 + 19*q**2/3 - 529*q/6 + 245/3.
(q - 10)*(q - 1)*(q + 49)/6
Factor -3*q**4/5 + 3429*q**3/5 - 2052*q**2.
-3*q**2*(q - 1140)*(q - 3)/5
What is r in 2*r**5/3 - 5698*r**4/3 + 135886*r**3/3 - 807902*r**2/3 - 45296*r + 271200 = 0?
-1, 1, 12, 2825
Suppose z**3/10 + 10*z**2 - 105*z/2 = 0. What is z?
-105, 0, 5
Factor z**2 - 138*z - 34840.
(z - 268)*(z + 130)
Solve u**5/4 + 33*u**4/2 - 36*u**3 - 136*u**2 = 0.
-68, -2, 0, 4
Factor -28*y**3 + 2236*y**2 + 2588*y + 324.
-4*(y - 81)*(y + 1)*(7*y + 1)
Factor -33*l**2 + 189*l + 222.
-3*(l + 1)*(11*l - 74)
Factor 10*l**2 + 59494*l + 202164.
2*(l + 5946)*(5*l + 17)
Solve 2*s**3 + 4092*s**2 - 149256*s + 1349136 = 0.
-2082, 18
Find p such that 2*p**4 - 24*p**3 + 62*p**2 + 96*p - 280 = 0.
-2, 2, 5, 7
Factor -k**3 + 17961*k**2 - 80640399*k - 80658361.
-(k - 8981)**2*(k + 1)
Factor y**2 - 533482*y + 71150761081.
(y - 266741)**2
Factor -l**3/4 - l**2 + 2661*l/4 - 5130.
-(l - 45)*(l - 8)*(l + 57)/4
Factor -3*g**3/4 + 10893*g**2/2 + 10896*g.
-3*g*(g - 7264)*(g + 2)/4
Factor -4*w**2/9 - 3172*w/9 - 51376/3.
-4*(w + 52)*(w + 741)/9
Factor -87*f**2/5 - 366*f/5.
-3*f*(29*f + 122)/5
Factor -65*o**5 - 3365*o**4 - 2550*o**3.
-5*o**3*(o + 51)*(13*o + 10)
Solve -2*y**4/3 - 28*y**3/3 - 30*y**2 - 104*y/3 - 40/3 = 0 for y.
-10, -2, -1
Solve -2*i**5/5 + 83*i**4/5 + 241*i**3/5 - 943*i**2/5 + 841*i/5 - 44 = 0 for i.
-5, 1/2, 1, 44
Factor -2*j**3 - 1186*j**2 - 8224*j - 11720.
-2*(j + 2)*(j + 5)*(j + 586)
Let z**4 + 135*z**3 + 3549*z**2 - 7507*z + 3822 = 0. Calculate z.
-98, -39, 1
Determine g, given that -2*g**3/9 + 34*g**2/9 - 22*g/9 - 1210/9 = 0.
-5, 11
Solve 2*u**2 - 215520*u + 5806108800 = 0.
53880
Solve 5*s**4/2 - 1025*s**3 + 229625*s**2/2 - 1998750*s + 9506250 = 0.
10, 195
Solve -5*p**3 - 7980*p**2 - 4149360*p - 706891840 = 0 for p.
-692, -452
Let -2*v**4 - 888*v**3 + 6*v**2 + 2660*v - 1776 = 0. Calculate v.
-444, -2, 1
Determine c, given that c**3 + 7059*c**2 - 113200*c = 0.
-7075, 0, 16
Factor -2*y**4 + 16502*y**3 - 45391500*y**2 + 41639125000*y - 41593750000.
-2*(y - 2750)**3*(y - 1)
Let a**2/5 + 2860*a = 0. Calculate a.
-14300, 0
Factor s**2/2 + 2293*s + 5257849/2.
(s + 2293)**2/2
Let -4*r**4 - 26380*r**3 + 184792*r**2 - 422480*r + 316896 = 0. Calculate r.
-6602, 2, 3
Suppose -2*g**2/3 + 778*g/3 - 5840 = 0. Calculate g.
24, 365
Suppose 4107*q**3/8 - 52725*q**2/4 - 8631*q/2 - 351 = 0. What is q?
-6/37, 26
Determine k so that -k**5/6 + 2273*k**4/3 - 13631*k**3/6 + 4543*k**2/3 = 0.
0, 1, 2, 4543
Determine w, given that -w**2 - 11*w - 10 = 0.
-10, -1
Solve 267*c**4/4 + 3*c**3 = 0 for c.
-4/89, 0
Factor -2*i**2/7 + 4002*i/7 + 12024/7.
-2*(i - 2004)*(i + 3)/7
Factor -2*c**3/3 - 556*c**2 - 554*c + 3332/3.
-2*(c - 1)*(c + 2)*(c + 833)/3
Let 2*l**2/3 - 313589*l/3 + 156794/3 = 0. What is l?
1/2, 156794
Factor -5*n**2 - 16610*n + 99840.
-5*(n - 6)*(n + 3328)
Let d**2/8 + 53513*d/8 = 0. What is d?
-53513, 0
Suppose -2*s**5 + 94*s**4 - 638*s**3 - 17030*s**2 + 140608*s - 123032 = 0. What is s?
-13, 1, 7, 26
Factor -4*b**2 + 10468*b + 62952.
-4*(b - 2623)*(b + 6)
Solve 5*z**4 + 1080*z**3 + 6300*z**2 - 160*z - 33600 = 0 for z.
-210, -4, 2
Find l such that -4*l**3/3 + 424*l**2 + 21780*l = 0.
-45, 0, 363
Let 4*x**4/3 + 211*x**3/3 + 623*x**2/3 - 13402*x/3 + 7520 = 0. Calculate x.
-48, -47/4, 2, 5
Factor -14480*y**2/7 - 876*y/7 + 80/7.
-4*(20*y - 1)*(181*y + 20)/7
Factor -5*q**2/3 + 108005*q/3.
-5*q*(q - 21601)/3
Suppose t**4/4 + 21*t**3/4 + 75*t**2/4 - 217*t/4 + 30 = 0. What is t?
-15, -8, 1
Find y such that 2*y**4 + 46*y**3 - 1826*y**2 - 14350*y = 0.
-41, -7, 0, 25
Solve -4*d**2 - 117716*d - 353112 = 0.
-29426, -3
Find a such that -36*a**4/5 + 16*a**3 + 164*a**2/5 - 256*a/5 + 48/5 = 0.
-2, 2/9, 1, 3
What is j in 2*j**5 + 316*j**4 + 18332*j**3 + 468864*j**2 + 4619538*j + 4168692 = 0?
-58, -33, -1
Suppose 3*a**2 - 165036*a + 2269740108 = 0. What is a?
27506
Find f, given that -20*f**5 - 358255*f**4 - 3133135*f**3 + 1163935*f**2 + 3133155*f - 805680 = 0.
-17904, -9, -1, 1/4, 1
Let -3*i**4 + 110448*i**3 - 220887*i**2 + 110442*i = 0. What is i?
0, 1, 36814
Let 3*r**2 + 66150*r - 66153 = 0. What is r?
-22051, 1
Find v such that 8*v**2/11 + 24946*v/11 + 6236/11 = 0.
-3118, -1/4
Factor 5*c**4 + 20325*c**3 + 27838500*c**2 + 13242550000*c + 541373400000.
5*(c + 45)*(c + 1340)**3
Suppose -16*p**5 - 94*p**4 - 136*p**3 + 66*p**2 + 180*p = 0. Calculate p.
-3, -2, -15/8, 0, 1
Factor 15*l**4 - 42318*l**3 + 29872260*l**2 - 35785800*l.
3*l*(l - 1410)**2*(5*l - 6)
Solve -3*i**2 - 135993*i + 135996 = 0.
-45332, 1
Suppose 4*m**2 + 780*m - 2376 = 0. What is m?
-198, 3
Find n, given that -3*n**2 - 121041*n - 121038 = 0.
-40346, -1
Factor 4*j**2/5 + 996704*j/5 + 62088678976/5.
4*(j + 