. What is j?
-34, -3
Factor q**5 + 13*q**4 - 20*q**3 - 84*q**2.
q**2*(q - 3)*(q + 2)*(q + 14)
Factor j**4/2 - 33*j**3/2 - 69*j**2/2 - 35*j/2.
j*(j - 35)*(j + 1)**2/2
Factor -3*h**2 + 912*h + 915.
-3*(h - 305)*(h + 1)
What is c in -2*c**5/7 + 22*c**4/7 + 6*c**3/7 - 10*c**2 + 44*c/7 = 0?
-2, 0, 1, 11
Suppose 4*i**4 + 3684*i**3 - 11076*i**2 + 11084*i - 3696 = 0. What is i?
-924, 1
Factor -c**3/5 + 6*c**2/5 + 9*c - 10.
-(c - 10)*(c - 1)*(c + 5)/5
Determine n so that -4*n**2 - 1748*n + 12432 = 0.
-444, 7
Let -4*o**2 - 92*o = 0. What is o?
-23, 0
Factor -2*x**2 - 18*x + 44.
-2*(x - 2)*(x + 11)
Factor -4*m**4 + 120*m**3 - 628*m**2 - 4080*m - 4624.
-4*(m - 17)**2*(m + 2)**2
Factor -2*s**3 + 674*s**2 - 56446*s - 57122.
-2*(s - 169)**2*(s + 1)
Factor 24*q**5 + 39*q**4 - 18*q**3.
3*q**3*(q + 2)*(8*q - 3)
Find w, given that -5*w**2 + 1175*w - 1170 = 0.
1, 234
Factor 2*q**2 - 2952*q + 1089288.
2*(q - 738)**2
Factor 3*k**3 + 15*k**2 + 21*k + 9.
3*(k + 1)**2*(k + 3)
Factor l**4/10 + l**3/5 - 2*l**2/5 - 4*l/5.
l*(l - 2)*(l + 2)**2/10
What is o in 3*o**2 + 36*o + 96 = 0?
-8, -4
Let 3*v**2/2 + 654*v + 71286 = 0. Calculate v.
-218
Factor -f**3 - 34*f**2 - 31*f + 66.
-(f - 1)*(f + 2)*(f + 33)
Determine k so that 28*k**5 - 76*k**4 - 164*k**3 + 44*k**2 + 136*k + 32 = 0.
-1, -2/7, 1, 4
Let 5*f**3 + 10*f**2 - 320*f + 800 = 0. What is f?
-10, 4
Factor 3*u**2/4 + 261*u/4.
3*u*(u + 87)/4
Factor 27*v**5 + 87*v**4 + 99*v**3 + 45*v**2 + 6*v.
3*v*(v + 1)**3*(9*v + 2)
Factor -5*c**3 - 6340*c**2 - 2016105*c - 4006890.
-5*(c + 2)*(c + 633)**2
Factor g**3/3 + 3*g**2 + 8*g + 16/3.
(g + 1)*(g + 4)**2/3
Determine l, given that 196*l**4 - 112*l**3 + 16*l**2 = 0.
0, 2/7
Determine s, given that -4*s**3 - 732*s**2 + 1480*s = 0.
-185, 0, 2
Factor -372*o**4 + 2224*o**3 - 4416*o**2 + 2880*o + 64.
-4*(o - 2)**3*(93*o + 2)
Find g such that 5*g**4 + 900*g**3 + 1775*g**2 - 900*g - 1780 = 0.
-178, -2, -1, 1
Let 4*k**5 - 900*k**4 + 51960*k**3 - 150520*k**2 + 148740*k - 49284 = 0. Calculate k.
1, 111
Let -16*z**4/3 + 2000*z**3/3 + 8236*z**2/3 + 2680*z/3 - 4300 = 0. Calculate z.
-5/2, 1, 129
Factor 2*i**2/7 - 12*i/7 - 32/7.
2*(i - 8)*(i + 2)/7
Suppose 2*h**3/11 - 16*h**2/11 - 40*h/11 = 0. Calculate h.
-2, 0, 10
What is k in -3*k**2/5 + 39*k/5 + 42/5 = 0?
-1, 14
Determine w, given that 7*w**5/2 + 67*w**4/4 + 29*w**3 + 91*w**2/4 + 8*w + 1 = 0.
-2, -1, -1/2, -2/7
Suppose -507*s**2/4 - 351*s - 243 = 0. Calculate s.
-18/13
Determine n, given that -36*n**4 + 290*n**3 - 196*n**2 - 494*n + 28 = 0.
-1, 1/18, 2, 7
Let 39*g**4/4 - 587*g**3/4 - 1257*g**2/4 - 597*g/4 + 17/2 = 0. Calculate g.
-1, 2/39, 17
Factor 2*w**3 - 8178*w**2 + 11146614*w - 5064278294.
2*(w - 1363)**3
Factor 2*y**5 + 980*y**4 + 121024*y**3 + 238144*y**2.
2*y**2*(y + 2)*(y + 244)**2
Factor 2*w**5 - 12*w**4 + 18*w**3 - 8*w**2.
2*w**2*(w - 4)*(w - 1)**2
Factor -q**4/2 - 287*q**3/2 + 434*q**2 - 290*q.
-q*(q - 2)*(q - 1)*(q + 290)/2
Factor -3*u**4 - 99*u**3 - 951*u**2 - 2205*u - 1350.
-3*(u + 1)*(u + 2)*(u + 15)**2
Solve 5*n**2/3 - 98930*n/3 + 489357245/3 = 0 for n.
9893
Suppose -2*y**5/9 - 58*y**4/9 - 164*y**3/9 + 860*y**2/9 - 986*y/9 + 350/9 = 0. Calculate y.
-25, -7, 1
Factor -4*d**3/7 + 20*d**2 - 128*d/7 - 272/7.
-4*(d - 34)*(d - 2)*(d + 1)/7
Factor 3*x**2/4 + 198*x + 789/4.
3*(x + 1)*(x + 263)/4
Find j such that 2*j**5 + 32*j**4 - 74*j**3 - 32*j**2 + 72*j = 0.
-18, -1, 0, 1, 2
Factor i**4/3 - 199*i**3/3 + 9388*i**2/3 + 17068*i + 13872.
(i - 102)**2*(i + 1)*(i + 4)/3
Factor 2*n**5/7 - 152*n**4 - 8608*n**3/7 - 17280*n**2/7.
2*n**2*(n - 540)*(n + 4)**2/7
Factor 2*g**2/3 - 92*g/3 + 1058/3.
2*(g - 23)**2/3
Suppose 1323*k**5/4 - 1085*k**4/6 + 67*k**3/3 + 2*k**2/3 = 0. Calculate k.
-2/81, 0, 2/7
Solve 3*u**5/7 + 3*u**4/7 - 18*u**3/7 + 6*u**2/7 + 15*u/7 - 9/7 = 0 for u.
-3, -1, 1
Find k such that -4*k**2 + 1652*k - 4920 = 0.
3, 410
Factor 7*x**4/5 + 46*x**3/5 - 21*x**2/5.
x**2*(x + 7)*(7*x - 3)/5
Determine i, given that -2*i**3/11 - 60*i**2/11 - 238*i/11 + 300/11 = 0.
-25, -6, 1
Factor 2187*u**4 + 230364*u**3 - 154224*u**2 + 34320*u - 2544.
3*(u + 106)*(9*u - 2)**3
Solve -2*z**4/13 - 50*z**3/13 + 106*z**2/13 - 54*z/13 = 0 for z.
-27, 0, 1
Let 10*f**4 - 2175*f**3 + 119885*f**2 - 176040*f + 58320 = 0. What is f?
1/2, 1, 108
Factor 3*i**2 + 4359*i - 8730.
3*(i - 2)*(i + 1455)
Suppose 14*k**2/15 - 246*k/5 - 212/15 = 0. What is k?
-2/7, 53
Suppose 2*g**2/5 - 186*g/5 - 76 = 0. What is g?
-2, 95
Factor -4*l**2 + 126*l - 650.
-2*(l - 25)*(2*l - 13)
Factor -2*q**5/5 + 6*q**4/5 - 8*q**2/5.
-2*q**2*(q - 2)**2*(q + 1)/5
Factor -3*i**2 - 1329*i - 1326.
-3*(i + 1)*(i + 442)
Solve -k**3 - 18*k**2 - 108*k - 216 = 0.
-6
Find w, given that 20*w**2 - 305*w - 240 = 0.
-3/4, 16
Let 340*p**5 + 572*p**4 - 480*p**3 - 496*p**2 + 64*p = 0. What is p?
-2, -4/5, 0, 2/17, 1
Solve 5*y**5/2 - 15*y**4/2 - 25*y**3/2 + 15*y**2/2 + 10*y = 0.
-1, 0, 1, 4
Factor -2*t**3/3 + 10*t**2/3 + 44*t.
-2*t*(t - 11)*(t + 6)/3
Suppose -4*c**4 + 4*c**3 + 15*c**2 - 18*c = 0. What is c?
-2, 0, 3/2
Factor -20*o**5 + 408*o**4 - 160*o**3.
-4*o**3*(o - 20)*(5*o - 2)
Find t, given that 14*t**4/15 + 38*t**3/15 - 152*t**2/15 - 296*t/15 + 32/5 = 0.
-4, -2, 2/7, 3
Suppose 308*j**4 - 3056*j**3 + 7120*j**2 + 896*j - 768 = 0. What is j?
-4/11, 2/7, 4, 6
Factor -9*d**4/5 - 51*d**3/5 - 63*d**2/5 + 27*d/5.
-3*d*(d + 3)**2*(3*d - 1)/5
Let -57*f**3/4 + 43*f**2/2 - 23*f/4 - 3/2 = 0. Calculate f.
-3/19, 2/3, 1
Factor -2*u**2/7 + 50*u/7 - 48/7.
-2*(u - 24)*(u - 1)/7
Factor -4*d**3/5 - 84*d**2/5 - 224*d/5 - 144/5.
-4*(d + 1)*(d + 2)*(d + 18)/5
Solve -36125*q**5/4 - 107525*q**4/2 - 314945*q**3/4 + 3795*q**2 - 45*q = 0 for q.
-3, 0, 2/85
Determine y, given that -9*y**2 + 147*y + 102 = 0.
-2/3, 17
Solve 6*n**5/11 + 436*n**4/11 + 714*n**3/11 + 284*n**2/11 = 0 for n.
-71, -1, -2/3, 0
Solve -4*v**2/3 - 22*v/3 - 28/3 = 0 for v.
-7/2, -2
Let -2*j**5/25 - 14*j**4/25 - 38*j**3/25 - 2*j**2 - 32*j/25 - 8/25 = 0. Calculate j.
-2, -1
Factor 2*r**3/3 + 200*r**2/3 + 776*r/3 + 256.
2*(r + 2)**2*(r + 96)/3
Factor -5*u**2 + 10*u.
-5*u*(u - 2)
Factor -i**5/6 + 5*i**4/6 - 7*i**3/6 + i**2/2.
-i**2*(i - 3)*(i - 1)**2/6
Factor z**2/2 + 154*z - 309/2.
(z - 1)*(z + 309)/2
Factor p**4/4 + 3*p**3/4.
p**3*(p + 3)/4
Factor -3*i**2 - 38*i + 13.
-(i + 13)*(3*i - 1)
Determine g so that 3*g**2 + 3288*g + 900912 = 0.
-548
Let -g**3 - 11*g**2 - 23*g + 35 = 0. Calculate g.
-7, -5, 1
Factor -3*a**5 - 819*a**4 - 54657*a**3 + 168915*a**2 - 170568*a + 57132.
-3*(a - 1)**3*(a + 138)**2
Suppose 2*s**2/13 + 70*s/13 + 500/13 = 0. What is s?
-25, -10
What is c in -2*c**4 + 6*c**3 + 22*c**2 - 6*c - 20 = 0?
-2, -1, 1, 5
Factor -f**5 + 14*f**4 - 51*f**3 + 50*f**2 + 44*f - 72.
-(f - 9)*(f - 2)**3*(f + 1)
Suppose -q**5/3 + 8*q**4/3 - 7*q**3 + 6*q**2 = 0. What is q?
0, 2, 3
Factor -2*a**3/7 + 4*a**2/7 + 10*a.
-2*a*(a - 7)*(a + 5)/7
Factor -36*d**3 + 1808*d**2 - 3856*d + 768.
-4*(d - 48)*(d - 2)*(9*d - 2)
What is d in -5*d**2 + 35*d + 90 = 0?
-2, 9
Solve -g**4/7 + 5*g**3/7 - 2*g**2/7 - 8*g/7 = 0.
-1, 0, 2, 4
Find a such that 4*a**2 - 8*a - 32 = 0.
-2, 4
Factor 6*f**2 + 260*f + 86.
2*(f + 43)*(3*f + 1)
Suppose 4*p**3/7 + 176*p**2/7 + 48*p = 0. What is p?
-42, -2, 0
Find x, given that -x**4 + 29*x**3 + 205*x**2 + 175*x = 0.
-5, -1, 0, 35
Solve -s**5/6 - 5*s**4/2 - 53*s**3/6 - 7*s**2/2 + 15*s = 0 for s.
-10, -3, 0, 1
What is v in v**2/10 + 3*v - 99/10 = 0?
-33, 3
Determine l so that -2*l**3/3 - 6*l**2 + 212*l/3 - 64 = 0.
-16, 1, 6
Suppose -u**2 + 35*u - 34 = 0. Calculate u.
1, 34
Factor -x**4 + 6*x**3 + 452*x**2 + 1704*x + 1664.
-(x - 26)*(x + 2)**2*(x + 16)
Solve -4*h**3 + 1068*h**2 - 2124*h + 1060 = 0.
1, 265
Find f such that 2*f**5 + 58*f**4 + 234*f**3 - 178*f**2 - 836*f - 480 = 0.
-24, -5, -1, 2
Factor -2*w**3/3 - 2*w**2 + 20*w/3 + 16.
-2*(w - 3)*(w + 2)*(w + 4)/3
Let -2*y**3/7 + 24*y**2/7 - 90*y/7 + 100/7 = 0. Calculate y.
2, 5
Solve b**2/9 - 7*b/9 + 2/3 = 0.
1, 6
Solve -1331*u**4/4 - 2057*u**3/4 - 429*u**2/2 - 35*u - 2 = 0 for u.
-1, -2/11
Solve 98*c**4 - 1904*c**3 - 1112*c**2 - 160*c = 0 for c.
-2/7, 0, 20
Factor -4*z**4 + 4*z**3 + 4*z**2 - 4*z.
-4*z*(z - 1)**2*(z + 1)
Let 5*u**2 - 210*u + 400 = 0. What is u?
2, 40
Suppose -2*g**4 + 4*g**3 + 96*g**2 - 260*g - 350 = 0. What is g?
-7, -1, 5
Determine v so that -v**3/4 + 11*v**2/4 + 25*v/4 + 13/4 = 0.
-1, 13
Fact