- 605520.
-5*(r + 348)**2
Factor 3*f**3/2 + 3099*f**2/2 + 400932*f + 399384.
3*(f + 1)*(f + 516)**2/2
Suppose k**3 - 8*k**2 + 16*k = 0. What is k?
0, 4
Let 14*f**3 - 8*f**2 - 40*f = 0. Calculate f.
-10/7, 0, 2
Factor -t**2/2 - 257*t/4 + 129/4.
-(t + 129)*(2*t - 1)/4
Suppose d**4 + 7*d**3 - 22*d**2 - 28*d + 72 = 0. Calculate d.
-9, -2, 2
Factor -2*p**4/5 - 496*p**3/5 + 200*p**2.
-2*p**2*(p - 2)*(p + 250)/5
Factor -a**3/7 + 165*a**2/7 - 9075*a/7 + 166375/7.
-(a - 55)**3/7
Factor 3*v**3 - 18*v**2 + 15*v.
3*v*(v - 5)*(v - 1)
Factor 5*l**2 + 3390*l + 574605.
5*(l + 339)**2
Factor 2*s**2/23 - 484*s/23 + 29282/23.
2*(s - 121)**2/23
Determine t so that t**2/4 - 7*t/4 + 3 = 0.
3, 4
Factor -2*s**2 - 11480*s - 16473800.
-2*(s + 2870)**2
Factor 3*d**5 - 36*d**4 + 66*d**3 + 252*d**2 + 147*d.
3*d*(d - 7)**2*(d + 1)**2
Factor 2*q**2/13 - 210*q/13 + 2700/13.
2*(q - 90)*(q - 15)/13
Factor 15*p**2 - 1461*p + 582.
3*(p - 97)*(5*p - 2)
Find n, given that n**3/2 - 3*n**2/2 - n/2 + 3/2 = 0.
-1, 1, 3
Factor -4*y**3 - 16*y**2 + 28*y + 40.
-4*(y - 2)*(y + 1)*(y + 5)
Find a such that 5*a**3/4 + 5*a**2/2 - 15*a/4 = 0.
-3, 0, 1
Let 5*q**3 - 255*q**2 + 1120*q + 1380 = 0. Calculate q.
-1, 6, 46
Factor 3*d**4/2 + 45*d**3/2 - 36*d**2 - 1824*d - 6912.
3*(d - 9)*(d + 8)**3/2
What is c in 2*c**4/5 - 12*c**3/5 = 0?
0, 6
Factor h**4 - 59*h**3 + 168*h**2.
h**2*(h - 56)*(h - 3)
Solve -2*v**2 + 38*v - 96 = 0.
3, 16
Factor -6*n**4 - 15*n**3 + 12*n**2 + 9*n.
-3*n*(n - 1)*(n + 3)*(2*n + 1)
Determine p so that 30*p**2 + 445*p - 75 = 0.
-15, 1/6
Factor 2*z**3/7 - 50*z**2/7 - 888*z/7.
2*z*(z - 37)*(z + 12)/7
Solve -2*b**2/3 + 2*b + 260/3 = 0 for b.
-10, 13
Factor -j**3/7 + 38*j**2/7 - 73*j/7 + 36/7.
-(j - 36)*(j - 1)**2/7
What is o in -5*o**4/4 + 25*o**3/4 - 5*o**2/2 - 10*o = 0?
-1, 0, 2, 4
Find m such that 2*m**2 + 20480*m + 52428800 = 0.
-5120
Factor -2*g**4/13 - 240*g**3/13 + 242*g**2/13.
-2*g**2*(g - 1)*(g + 121)/13
Suppose 5*w**3 + 195*w**2 + 190*w = 0. Calculate w.
-38, -1, 0
Factor k**4/4 - 9*k**3 - 115*k**2/4 - 39*k/2.
k*(k - 39)*(k + 1)*(k + 2)/4
Suppose -16*n**4 + 8*n**3 + 367*n**2 + 868*n + 588 = 0. Calculate n.
-2, -7/4, 6
Factor 6*x**2/11 - 366*x/11 + 300.
6*(x - 50)*(x - 11)/11
Factor -3*g**3 - 36*g**2 + 180*g - 192.
-3*(g - 2)**2*(g + 16)
Solve -324*g**5 + 1224*g**4 - 1084*g**3 - 712*g**2 + 1408*g - 512 = 0 for g.
-1, 8/9, 1, 2
Suppose 5*i**2 + 95*i + 240 = 0. Calculate i.
-16, -3
Factor -2*n**4 + 366*n**3 - 17284*n**2 + 49320*n - 32400.
-2*(n - 90)**2*(n - 2)*(n - 1)
Let 9*h**5/2 - 5*h**4/2 - 11*h**3 - 4*h**2 = 0. What is h?
-1, -4/9, 0, 2
Factor 3*p**3 - 114*p**2 + 1083*p.
3*p*(p - 19)**2
Suppose -3*o**5 + 24*o**4 + 3*o**3 - 24*o**2 = 0. What is o?
-1, 0, 1, 8
Solve x**3/5 + 146*x**2/5 - 1071*x/5 = 0 for x.
-153, 0, 7
Determine u so that 8*u**5 - 160*u**4 + 506*u**3 + 118*u**2 - 344*u - 128 = 0.
-1/2, 1, 4, 16
Find y such that 2*y**2/9 - 56*y/9 + 392/9 = 0.
14
Solve -w**4/7 + 47*w**3/7 + w**2/7 - 47*w/7 = 0 for w.
-1, 0, 1, 47
Factor -c**5/3 + 380*c**4/3 + 1532*c**3/3 + 512*c**2.
-c**2*(c - 384)*(c + 2)**2/3
Factor q**5 - q**4 - 4*q**3 + 4*q**2.
q**2*(q - 2)*(q - 1)*(q + 2)
Find c such that 2*c**4/9 + 22*c**3/9 + 70*c**2/9 + 50*c/9 = 0.
-5, -1, 0
Factor -169*w**2/3 + 17030*w/3 - 429025/3.
-(13*w - 655)**2/3
Suppose c**3/5 + 12*c**2/5 - 4*c/5 - 48/5 = 0. What is c?
-12, -2, 2
Let r**3 - 5*r**2 - 50*r = 0. Calculate r.
-5, 0, 10
Find l, given that -4*l**2/7 + 100*l - 5976/7 = 0.
9, 166
Let 51*h**4 - 3525*h**3 + 7299*h**2 - 4227*h + 402 = 0. Calculate h.
2/17, 1, 67
Let 2*p**2/7 + 348*p/7 + 15138/7 = 0. What is p?
-87
Factor -4*t**2 - 344*t - 2212.
-4*(t + 7)*(t + 79)
Factor -s**5/4 + 5*s**4/4 + 7*s**3/2 - 31*s**2 + 62*s - 40.
-(s - 4)*(s - 2)**3*(s + 5)/4
Factor 2*a**3/9 - 10*a**2/9 - 88*a/9 - 40/3.
2*(a - 10)*(a + 2)*(a + 3)/9
Factor -j**2/2 - 15*j/2 + 27.
-(j - 3)*(j + 18)/2
What is m in 2*m**5/11 - 10*m**4/11 - 10*m**3/11 + 50*m**2/11 + 80*m/11 + 32/11 = 0?
-1, 4
Suppose -2*m**5/7 + 2*m**4 - 20*m**3/7 - 40*m**2/7 + 16*m - 64/7 = 0. Calculate m.
-2, 1, 2, 4
Factor -4*g**2/5 + 20*g.
-4*g*(g - 25)/5
Factor 2*g**2 - 26*g.
2*g*(g - 13)
Find u such that -56*u**4 - 380*u**3 - 532*u**2 - 148*u + 60 = 0.
-5, -1, 3/14
Factor -4*w**3 - 1532*w**2 - 147452*w - 145924.
-4*(w + 1)*(w + 191)**2
Factor s**5 - s**4 - 7*s**3 + 13*s**2 - 6*s.
s*(s - 2)*(s - 1)**2*(s + 3)
Determine h so that -h**2/8 + h/8 + 21/4 = 0.
-6, 7
Let -3*a**2/2 + 3*a/2 + 9 = 0. What is a?
-2, 3
Let 3*a**4 - 21*a**3 - 63*a**2 + 81*a = 0. Calculate a.
-3, 0, 1, 9
Factor -3*s**3/8 + 51*s**2/4 + 567*s/8 + 351/4.
-3*(s - 39)*(s + 2)*(s + 3)/8
Solve -5*s**2 - 600*s + 1220 = 0.
-122, 2
Factor 2*h**4 - 6*h**3 - 6*h**2 + 22*h - 12.
2*(h - 3)*(h - 1)**2*(h + 2)
Find q, given that -4*q**5 - 108*q**4 - 728*q**3 - 1488*q**2 - 864*q = 0.
-18, -6, -2, -1, 0
Factor 4*a**2/7 + 64*a/7 - 68/7.
4*(a - 1)*(a + 17)/7
Find d, given that -4*d**2/5 + 8*d - 36/5 = 0.
1, 9
What is s in 3*s**2/5 - 93*s/5 = 0?
0, 31
Factor -b**5/7 + b**4/7 + 2*b**3/7 - 2*b**2/7 - b/7 + 1/7.
-(b - 1)**3*(b + 1)**2/7
Determine s, given that -21*s**5 + 69*s**4 - 18*s**3 - 84*s**2 + 24*s = 0.
-1, 0, 2/7, 2
Suppose c**4 + 7*c**3 + 9*c**2 - 7*c - 10 = 0. What is c?
-5, -2, -1, 1
Suppose -484*y**4 + 8536*y**3 - 27648*y**2 - 93312*y = 0. What is y?
-2, 0, 108/11
Suppose -g**4/5 + 2*g**2 - 9/5 = 0. What is g?
-3, -1, 1, 3
Determine a, given that 6*a**3/11 - 1746*a**2/11 + 33120*a/11 - 162600/11 = 0.
10, 271
Let -u**3/3 - 7*u**2/3 - 16*u/3 - 4 = 0. What is u?
-3, -2
Suppose g**2/3 - 16*g/3 + 5 = 0. Calculate g.
1, 15
Factor -u**3 + 74*u**2 - 145*u + 72.
-(u - 72)*(u - 1)**2
Factor 2*p**4/3 - 46*p**3/3 + 28*p**2.
2*p**2*(p - 21)*(p - 2)/3
Suppose -3*g**2/4 + 33*g - 255 = 0. What is g?
10, 34
Solve -5*g**4 - 15*g**3 + 20*g = 0 for g.
-2, 0, 1
Solve -5*f**5 + 115*f**4 + 325*f**3 - 1715*f**2 - 3920*f - 2000 = 0.
-4, -1, 4, 25
Factor 2*b**3/19 + 40*b**2/19 + 154*b/19 - 484/19.
2*(b - 2)*(b + 11)**2/19
Determine b, given that 2*b**2 + 52*b - 814 = 0.
-37, 11
What is z in z**5/8 + 7*z**4/8 + 19*z**3/8 + 25*z**2/8 + 2*z + 1/2 = 0?
-2, -1
What is p in 5*p**2 + 85*p - 90 = 0?
-18, 1
Determine s so that -2*s**4 + 1886*s**3 - 445566*s**2 + 443682*s = 0.
0, 1, 471
Solve -2*w**5/5 - 128*w**4/15 - 76*w**3/5 + 712*w**2/15 - 66*w/5 - 152/15 = 0 for w.
-19, -4, -1/3, 1
Solve -5*t**3/3 + 59*t**2/3 - 41*t - 9 = 0 for t.
-1/5, 3, 9
What is c in 2*c**4 + 54*c**3 + 92*c**2 - 5760*c - 25600 = 0?
-16, -5, 10
Let -14*r**3/5 + 3392*r**2/5 - 205942*r/5 + 58564/5 = 0. Calculate r.
2/7, 121
Let 5*n**3 - 85*n**2 - 5*n + 85 = 0. What is n?
-1, 1, 17
Factor 392*d**2/13 - 17304*d/13 + 190962/13.
2*(14*d - 309)**2/13
Determine x, given that -6*x**3/7 - 52*x**2/7 - 14*x/3 - 16/21 = 0.
-8, -1/3
Let -10*f**4 + 145*f**3 - 320*f**2 + 245*f - 60 = 0. Calculate f.
1/2, 1, 12
Suppose -16*g**4/3 - 220*g**3/3 - 668*g**2/3 - 704*g/3 - 80 = 0. What is g?
-10, -2, -1, -3/4
What is o in o**4 - 5*o**3 + 5*o**2 + 5*o - 6 = 0?
-1, 1, 2, 3
Find w such that -21*w**3 - 27*w**2 + 36*w + 12 = 0.
-2, -2/7, 1
Find f, given that 286*f**4/15 + 54*f**3/5 - 376*f**2/15 - 24*f/5 = 0.
-18/13, -2/11, 0, 1
Suppose -2*f**2/9 + 1360*f/9 - 231200/9 = 0. Calculate f.
340
Find x, given that 2*x**5/3 - 50*x**4/3 + 74*x**3 + 1226*x**2/3 - 224*x/3 - 392 = 0.
-3, -1, 1, 14
Solve -3*k**3/4 + 441*k**2/2 - 21609*k + 705894 = 0 for k.
98
Factor -4*p**2 - 12*p + 160.
-4*(p - 5)*(p + 8)
Determine t so that -5*t**5/4 + 20*t**4 + 135*t**3/2 + 70*t**2 + 95*t/4 = 0.
-1, 0, 19
Suppose -j**2/5 + 6*j/5 - 8/5 = 0. Calculate j.
2, 4
Determine x so that -5*x**3 - 50*x**2 + 185*x - 130 = 0.
-13, 1, 2
Determine u, given that u**5/5 + 21*u**4/5 + 34*u**3/5 - 84*u**2/5 - 152*u/5 = 0.
-19, -2, 0, 2
Factor 5*g**2 - 455*g + 450.
5*(g - 90)*(g - 1)
Let -5*t**2 + 455*t + 1410 = 0. What is t?
-3, 94
Factor -4*l**5 + 244*l**4 + 768*l**3.
-4*l**3*(l - 64)*(l + 3)
Let -16*o**5/11 - 166*o**4/11 - 60*o**3/11 = 0. What is o?
-10, -3/8, 0
What is h in -h**2/3 - 33*h - 96 = 0?
-96, -3
Suppose -2*k**2 + 46*k + 100 = 0. Calculate k.
-2, 25
Find h such that -2*h**3/3 - h**2/2 + 27*h/2 - 10/3 = 0.
-5, 1/4, 4
What is l in 5*l**5 + 20*l**4 - 15*l**3 - 50*l**2 + 40*l = 0?
-4, -2, 0, 1
Factor 2*q**3/15 - 2*q**2/15 - 32*q/15 - 8/3.
2*(q - 5)*(q + 2)**2/15
What is g in -3*g**3 + 411*