, 2, 14
Factor 200*x**4 + 604*x**3 + 612*x**2 + 212*x + 4.
4*(x + 1)**3*(50*x + 1)
Factor 2*s**3/9 - 10*s**2/9 + 16*s/9 - 8/9.
2*(s - 2)**2*(s - 1)/9
Suppose l**2/3 - 20*l/3 - 32 = 0. What is l?
-4, 24
What is f in 93*f**4/8 + 417*f**3/2 + 1242*f**2 + 2430*f - 162 = 0?
-6, 2/31
Factor 9*c**3/4 + 255*c**2 - 1725*c/4.
3*c*(c + 115)*(3*c - 5)/4
Factor 2*o**3 - 60*o**2 - 506*o - 444.
2*(o - 37)*(o + 1)*(o + 6)
Find r such that 2*r**4/9 - 40*r**3/9 - 178*r**2/3 - 212*r - 240 = 0.
-4, -3, 30
Let 17*l**3 - 302*l**2 + 1305*l + 324 = 0. Calculate l.
-4/17, 9
Factor 4*y**5 - 20*y**4 + 24*y**3 + 16*y**2 - 32*y.
4*y*(y - 2)**3*(y + 1)
Factor 2*n**2 - 20*n + 32.
2*(n - 8)*(n - 2)
Factor 4*n**3 + 836*n**2 + 43260*n - 44100.
4*(n - 1)*(n + 105)**2
Suppose 5*m**4/4 - 345*m**3 + 685*m**2/2 + 345*m - 1375/4 = 0. What is m?
-1, 1, 275
Factor -d**3/3 - 23*d**2/3 - 20*d/3 + 44/3.
-(d - 1)*(d + 2)*(d + 22)/3
Determine m, given that -3*m**4/8 + 75*m**3/8 - 9*m**2 = 0.
0, 1, 24
Suppose -v**4/2 - 308*v**3 - 71148*v**2 - 7304528*v - 281224328 = 0. What is v?
-154
Factor -3*t**3/10 + 19*t**2/5 - 7*t/2.
-t*(t - 1)*(3*t - 35)/10
Factor -2*m**4 + 32*m**3 - 138*m**2 - 20*m + 800.
-2*(m - 8)*(m - 5)**2*(m + 2)
Factor -k**2/2 + 2341*k/2 + 1171.
-(k - 2342)*(k + 1)/2
Solve -2*i**4 - 10*i**3 - 10*i**2 + 10*i + 12 = 0.
-3, -2, -1, 1
Determine z so that -18*z**5 + 54*z**4 + 2748*z**3 - 16760*z**2/3 + 11216*z/3 - 832 = 0.
-12, 2/3, 13
Let -2*g**2 + 320*g - 12800 = 0. Calculate g.
80
Determine w, given that -2*w**2 + 398*w - 396 = 0.
1, 198
Let 21*s**4/8 + 2229*s**3/4 + 5703*s**2/8 + 633*s/4 = 0. What is s?
-211, -1, -2/7, 0
Find z such that 10*z**3/11 - 208*z**2/11 + 554*z/11 - 356/11 = 0.
1, 2, 89/5
Solve -2*x**3 + 24*x**2 + 120*x + 128 = 0.
-2, 16
Factor -2*i**2/5 - 5256*i/5 + 5258/5.
-2*(i - 1)*(i + 2629)/5
Factor 5*w**3/2 + 23*w**2 + 83*w/2 + 21.
(w + 1)*(w + 7)*(5*w + 6)/2
Determine k so that 4*k**3 + 156*k**2 + 440*k + 288 = 0.
-36, -2, -1
Factor -3*j**2 - 2412*j + 12135.
-3*(j - 5)*(j + 809)
Determine g so that g**5/10 + 133*g**4/5 + 527*g**3/5 + 788*g**2/5 + 1049*g/10 + 131/5 = 0.
-262, -1
Factor -4*c**3 - 4*c**2 + 84*c + 180.
-4*(c - 5)*(c + 3)**2
Determine y so that -3*y**4/2 + 27*y**3/2 + 3*y**2/2 - 27*y/2 = 0.
-1, 0, 1, 9
Factor z**2/7 - 1304*z/7 + 1303/7.
(z - 1303)*(z - 1)/7
Let 5*v**4 - 25*v**3 - 150*v**2 + 200*v + 320 = 0. Calculate v.
-4, -1, 2, 8
What is q in -4*q**5/5 - 22*q**4/5 - 22*q**3/5 + 14*q**2/5 + 26*q/5 + 8/5 = 0?
-4, -1, -1/2, 1
Solve c**4/2 - 3*c**2/2 + c = 0 for c.
-2, 0, 1
Find y such that -441*y**5/10 - 1407*y**4/10 + 15748*y**3/5 + 14892*y**2 + 13752*y/5 + 648/5 = 0.
-6, -2/21, 9
Let 2*g**2/9 + 26*g/9 + 80/9 = 0. What is g?
-8, -5
Factor -r**2 + 421*r + 846.
-(r - 423)*(r + 2)
Suppose 6*m**5 - 4*m**4 - 18*m**3 + 8*m = 0. What is m?
-1, 0, 2/3, 2
Let p**2 + 4778*p + 5707321 = 0. Calculate p.
-2389
Let -5*f**4 + 45*f**3 + 485*f**2 - 525*f = 0. What is f?
-7, 0, 1, 15
Factor -l**5/3 - 11*l**4/9 - 8*l**3/9 + 4*l**2/9.
-l**2*(l + 2)**2*(3*l - 1)/9
Solve -12*u**2/7 + 58*u/7 + 450/7 = 0 for u.
-25/6, 9
Factor 2*j**4 - 36*j**3/7 + 30*j**2/7 - 8*j/7.
2*j*(j - 1)**2*(7*j - 4)/7
Factor -2*u**3/9 + 68*u**2 - 6936*u + 235824.
-2*(u - 102)**3/9
Suppose 2*k**3 - 410*k**2 + 20384*k + 64896 = 0. What is k?
-3, 104
Factor -2*t**2/13 - 14*t/13 - 12/13.
-2*(t + 1)*(t + 6)/13
Factor k**4/2 + 5*k**3/2 - 21*k**2 + 38*k - 20.
(k - 2)**2*(k - 1)*(k + 10)/2
Solve -3*b**4/4 - 423*b**3/4 - 1653*b**2/4 - 1233*b/4 = 0.
-137, -3, -1, 0
Let v**2/4 + 111*v/4 + 55/2 = 0. Calculate v.
-110, -1
Solve 5*m**4 + 285*m**3 - 590*m**2 = 0.
-59, 0, 2
Solve 3*s**4 - 144*s**3 + 2106*s**2 - 9072*s + 11907 = 0 for s.
3, 21
Let 36*q**5 + 476*q**4 + 932*q**3 + 580*q**2 + 88*q = 0. What is q?
-11, -1, -2/9, 0
Find s, given that -46305*s**4 + 482895*s**3 - 626850*s**2 + 288500*s - 45000 = 0.
10/21, 9
Let -2*o**3/11 - 26*o**2/11 + 376*o/11 + 840/11 = 0. What is o?
-21, -2, 10
Find g, given that -3*g**3 + 33*g**2 - 57*g + 27 = 0.
1, 9
Factor -2*c**5 - 4*c**4 + 4*c**3 + 16*c**2 + 14*c + 4.
-2*(c - 2)*(c + 1)**4
Factor 3*v**4 + 81*v**3 + 246*v**2 - 5184*v - 10752.
3*(v - 7)*(v + 2)*(v + 16)**2
Determine w so that 2*w**5/13 + 10*w**4/13 + 2*w**3/13 - 2*w**2 - 4*w/13 + 16/13 = 0.
-4, -2, -1, 1
Factor -3*l**3 - 7*l**2 - 2*l.
-l*(l + 2)*(3*l + 1)
Solve -2*x**2/9 - 14*x/9 - 4/3 = 0 for x.
-6, -1
Factor -v**2/6 + 4*v - 119/6.
-(v - 17)*(v - 7)/6
Find q, given that 18*q**5 - 30*q**4 - 34*q**3 + 38*q**2 + 16*q - 8 = 0.
-1, -2/3, 1/3, 1, 2
Solve 2*x**3/23 - 32*x**2/23 + 58*x/23 + 260/23 = 0.
-2, 5, 13
Solve -n**2 - 770*n - 148225 = 0 for n.
-385
Factor s**3/2 + 133*s**2 - 267*s/2.
s*(s - 1)*(s + 267)/2
Factor -4*h**3/9 + 152*h**2/9 + 2716*h/9 + 10192/9.
-4*(h - 52)*(h + 7)**2/9
Factor 5*l**5/8 + 43*l**4/8 + 117*l**3/8 + 81*l**2/8 - 27*l/4.
l*(l + 3)**3*(5*l - 2)/8
Find i such that -2*i**3/5 - 12*i**2/5 - 24*i/5 - 16/5 = 0.
-2
What is d in -16*d**3 + 132*d**2 + 112*d - 36 = 0?
-1, 1/4, 9
Suppose 2*h**2/7 - 156*h/7 + 1242/7 = 0. What is h?
9, 69
Determine w, given that -100*w**4/3 - 20*w**3 + 212*w**2 - 244*w/3 + 8 = 0.
-3, 1/5, 2
Factor -4*k**4 - 8*k**3 - 4*k**2.
-4*k**2*(k + 1)**2
Suppose -4*v**4 + 124*v**3 + 4*v**2 - 124*v = 0. Calculate v.
-1, 0, 1, 31
Solve -54*l**4 + 4428*l**3 + 9000*l**2 + 6032*l + 1344 = 0 for l.
-2/3, 84
Factor 4*y**3 + 20*y**2 - 56*y.
4*y*(y - 2)*(y + 7)
Determine m so that -44*m**4 + 624*m**3 - 2752*m**2 + 3648*m - 576 = 0.
2/11, 2, 6
Let -4*s**2 + 828*s - 824 = 0. What is s?
1, 206
Factor -24*y**3/17 - 8*y**2/17 + 10*y/17.
-2*y*(2*y - 1)*(6*y + 5)/17
Suppose 6*p**2/5 + 312*p/5 + 120 = 0. What is p?
-50, -2
Factor 2*s**2/7 - 78*s/7 - 440/7.
2*(s - 44)*(s + 5)/7
Determine q so that -q**4/4 + 413*q**3/4 - 42433*q**2/4 - 43677*q/4 + 42849/2 = 0.
-2, 1, 207
Determine y, given that -y**5/12 + y**4/4 - y**3/4 + y**2/12 = 0.
0, 1
Let o**5/8 - 6*o**4 + 17*o**3 - 21*o**2/4 - 137*o/8 + 45/4 = 0. Calculate o.
-1, 1, 2, 45
Determine h, given that 2*h**4/11 - 75*h**3/11 - 196*h**2/11 - 159*h/11 - 40/11 = 0.
-1, -1/2, 40
Suppose -3*z**2 - 54*z + 57 = 0. What is z?
-19, 1
Let -4*s**4 - 400*s**3 + 2496*s**2 - 5056*s + 3392 = 0. What is s?
-106, 2
Factor -3*w**2 + 927*w - 1842.
-3*(w - 307)*(w - 2)
Suppose -f**3/5 + 20*f**2 + 203*f/5 + 102/5 = 0. What is f?
-1, 102
Suppose 7*z**5/2 + 1419*z**4/2 - 3087*z**3 + 3722*z**2 - 828*z = 0. What is z?
-207, 0, 2/7, 2
Determine p so that -2*p**4/7 + 10*p**3 - 190*p**2/7 - 10*p + 192/7 = 0.
-1, 1, 3, 32
Factor -w**4/4 - 42*w**3 + 343*w**2/4 + 255*w/2.
-w*(w - 3)*(w + 1)*(w + 170)/4
Determine q, given that 25*q**5 - 70*q**4 + 69*q**3 - 28*q**2 + 4*q = 0.
0, 2/5, 1
Let x**4/2 + 4093*x**3 + 16760833*x**2/2 + 16748556*x + 8372232 = 0. Calculate x.
-4092, -1
Let -5*u**5 + 60*u**4 - 95*u**3 - 60*u**2 + 100*u = 0. What is u?
-1, 0, 1, 2, 10
Determine s so that 5*s**2 - 25*s = 0.
0, 5
Solve -2*r**5/21 + 4*r**4/21 + 10*r**3/21 - 20*r**2/21 - 8*r/21 + 16/21 = 0 for r.
-2, -1, 1, 2
Suppose -2*n**4 - 20*n**3 - 16*n**2 + 20*n + 18 = 0. What is n?
-9, -1, 1
Solve -c**5/8 - 13*c**4/4 - 95*c**3/4 - 28*c**2 + 1127*c/8 - 343/4 = 0 for c.
-14, -7, 1
Find v, given that -4*v**4 - 240*v**3 - 3600*v**2 = 0.
-30, 0
Factor 3*l**4/7 + 1515*l**3 + 12499758*l**2/7 + 4916564412*l/7 + 4904075256/7.
3*(l + 1)*(l + 1178)**3/7
Let 3*l**4/8 - 37*l**3/8 + 79*l**2/8 + 217*l/8 + 49/4 = 0. Calculate l.
-1, -2/3, 7
Suppose 2*b**4/3 + 26*b**3/3 + 22*b**2 + 62*b/3 + 20/3 = 0. What is b?
-10, -1
Determine u so that 4*u**3 + 490*u**2 + 15128*u + 7442 = 0.
-61, -1/2
Factor -d**5 + 3594*d**4 - 3229209*d**3.
-d**3*(d - 1797)**2
Factor -z**4 - 177*z**3 + 1086*z**2 - 2188*z + 1464.
-(z - 2)**3*(z + 183)
Factor -5*v**3 + 185*v**2.
-5*v**2*(v - 37)
Suppose -8*m**5 - 234*m**4 - 1042*m**3 - 750*m**2 + 1602*m + 432 = 0. Calculate m.
-24, -3, -1/4, 1
Let 24*c**2/5 + 762*c/5 - 192/5 = 0. Calculate c.
-32, 1/4
Solve 3*t**3 + 177*t**2 + 1548*t - 1728 = 0 for t.
-48, -12, 1
Find o, given that 3*o**2 + 4068*o + 1379052 = 0.
-678
Factor 3*m**4 - 186*m**3 - 2820*m**2 - 8022*m + 11025.
3*(m - 75)*(m - 1)*(m + 7)**2
Find h, given that -2*h**3/7 + 10*h**2/7 + 148*h/7 + 240/7 = 0.
-5, -2, 12
Factor -2*o**3 - 128*o**2 - 248*o.
-2*o*(o + 2)*(o + 62)
Factor 2*p**2 + 364*p - 1110.
2*(p - 3)*(p + 185)
Factor 6*o**2 - 64*o - 2