 t?
0, 70
Factor 33*g**3/5 - 21*g**2 + 84*g/5 - 12/5.
3*(g - 2)*(g - 1)*(11*g - 2)/5
Factor -n**3/6 - 13*n**2/6 - 23*n/3 - 8.
-(n + 2)*(n + 3)*(n + 8)/6
Factor 2*q**2/3 - 142*q/3 + 1760/3.
2*(q - 55)*(q - 16)/3
Find f, given that f**5/2 + f**4/2 - f**3 - f**2 + f/2 + 1/2 = 0.
-1, 1
Factor -i**3 - 20*i**2 + 348*i - 1152.
-(i - 6)**2*(i + 32)
Determine n, given that 12*n**5 + 1096*n**4/7 - 3792*n**3/7 + 2784*n**2/7 - 512*n/7 = 0.
-16, 0, 2/7, 2/3, 2
Find m, given that -14*m**4 + 578*m**3 - 164*m**2 = 0.
0, 2/7, 41
Factor -11*j**5 + 178*j**4 - 1088*j**3 + 3008*j**2 - 3328*j + 512.
-(j - 4)**4*(11*j - 2)
Factor 3*q**3/5 + 144*q**2/5 - 3*q/5 - 144/5.
3*(q - 1)*(q + 1)*(q + 48)/5
Let 2*f**4/11 + 10128*f**3/11 + 12832172*f**2/11 + 25633968*f/11 + 12811922/11 = 0. What is f?
-2531, -1
Factor -4*w**2 + 496*w - 15376.
-4*(w - 62)**2
Suppose -3*l**5/5 - 57*l**4/5 - 171*l**3/5 + 957*l**2/5 - 726*l/5 = 0. Calculate l.
-11, 0, 1, 2
Factor 2*t**3/3 - 44*t**2 + 680*t + 4624/3.
2*(t - 34)**2*(t + 2)/3
Solve -3*q**4 - 27*q**3 + 30*q**2 = 0.
-10, 0, 1
Solve -2*r**3/5 - 2*r**2 - 6*r/5 + 18/5 = 0 for r.
-3, 1
Suppose -2*x**2/13 - 336*x/13 - 14112/13 = 0. What is x?
-84
Find d, given that -8*d**5/5 - 38*d**4/5 + 18*d**3/5 + 38*d**2/5 - 2*d = 0.
-5, -1, 0, 1/4, 1
Factor 4*r**4 + 17*r**3 - 16*r**2 - 5*r.
r*(r - 1)*(r + 5)*(4*r + 1)
Factor -4*u**4 + 12*u**3 - 12*u**2 + 4*u.
-4*u*(u - 1)**3
Suppose 4*w**5 - 40*w**4 + 120*w**3 - 160*w**2 + 100*w - 24 = 0. What is w?
1, 6
Find n such that -n**3/6 + 2*n**2 - 10*n/3 = 0.
0, 2, 10
Determine m so that 4*m**5 - 3780*m**4 + 883512*m**3 + 4501064*m**2 + 2741700*m - 8122500 = 0.
-3, 1, 475
Factor -2*a**3/7 - 1432*a**2/7 - 8530*a/7 - 7100/7.
-2*(a + 1)*(a + 5)*(a + 710)/7
Factor -4*r**3/3 + 60*r**2 + 544*r - 106352/3.
-4*(r - 34)**2*(r + 23)/3
Find w, given that 4*w**2 + 184*w - 384 = 0.
-48, 2
Suppose -4*x**4 + 16*x**3 + 100*x**2 - 64*x - 336 = 0. Calculate x.
-3, -2, 2, 7
Suppose o**4 + 5*o**3/4 - 103*o**2/4 + 35*o/2 + 6 = 0. Calculate o.
-6, -1/4, 1, 4
Suppose -n**3/2 - 173*n**2/2 - 3784*n - 3698 = 0. What is n?
-86, -1
Factor 3*r**2 + 2436*r + 494508.
3*(r + 406)**2
Let 3*u**3/7 - 9*u/7 - 6/7 = 0. What is u?
-1, 2
Determine z so that 5*z**3/4 - 15*z**2/4 = 0.
0, 3
Factor 2*a**2/17 - 844*a/17 + 89042/17.
2*(a - 211)**2/17
Solve 8*q**2/5 + 874*q/5 + 218/5 = 0 for q.
-109, -1/4
Find a such that 3*a**3 + 31*a**2 + 56*a = 0.
-8, -7/3, 0
Find l, given that -125*l**5 + 47725*l**4 - 4550495*l**3 - 942605*l**2 + 2926120*l - 729620 = 0.
-1, 2/5, 191
Let -9*j**5/10 - 61*j**4/10 - 2*j**3/5 + 128*j**2/5 + 16*j - 24/5 = 0. Calculate j.
-6, -2, -1, 2/9, 2
Solve -2*g**3 - 82*g**2 - 80*g = 0.
-40, -1, 0
Determine d, given that -2*d**3/13 - 58*d**2/13 - 12*d = 0.
-26, -3, 0
Factor -7*u**2/3 - 68*u/3 + 20/3.
-(u + 10)*(7*u - 2)/3
Factor y**3 + 6300*y**2 + 13230000*y + 9261000000.
(y + 2100)**3
Determine l so that 4*l**3 + 24*l**2 + 36*l + 16 = 0.
-4, -1
Factor 2*k**2/7 + 108*k/7 + 208/7.
2*(k + 2)*(k + 52)/7
Find p such that -p**2/6 - 5*p/2 + 9 = 0.
-18, 3
Let 30*h**2 + 393*h = 0. What is h?
-131/10, 0
Find j such that -3*j**3 - 6*j**2 + 3*j + 6 = 0.
-2, -1, 1
Factor 3*v**3 - 65*v**2 + 338*v + 120.
(v - 12)*(v - 10)*(3*v + 1)
Determine q so that q**2 - 13*q + 36 = 0.
4, 9
Factor -3*a**2 + 39960*a - 133066800.
-3*(a - 6660)**2
Factor 2*a**2/19 - 12*a + 342.
2*(a - 57)**2/19
Factor i**5 + 388*i**4 + 1542*i**3 + 2308*i**2 + 1537*i + 384.
(i + 1)**4*(i + 384)
Factor 4*m**3 + 1352*m**2 + 114244*m.
4*m*(m + 169)**2
What is i in -i**3 + 6*i**2 + 4*i - 24 = 0?
-2, 2, 6
Solve p**2/4 + 35*p/2 = 0.
-70, 0
Suppose -150*i**2/7 + 1080*i/7 - 1944/7 = 0. What is i?
18/5
Solve 60*b**4 - 98*b**3 - 528*b**2 - 168*b + 32 = 0.
-2, -1/2, 2/15, 4
Factor -2*d**4 + 186*d**3 - 880*d**2.
-2*d**2*(d - 88)*(d - 5)
Factor 27*h**2 - 33*h + 6.
3*(h - 1)*(9*h - 2)
Determine k, given that k**3/10 + 7*k**2 - 96*k/5 - 29952/5 = 0.
-48, 26
Find s such that -2*s**4/5 + 54*s**2/5 - 108*s/5 = 0.
-6, 0, 3
Let 103*n**2/2 + 306*n - 18 = 0. What is n?
-6, 6/103
Solve -5*b**2 + 240*b - 2880 = 0.
24
Suppose -5*q**4 - 25*q**3 - 15*q**2 + 25*q + 20 = 0. Calculate q.
-4, -1, 1
Suppose 162*b**3 - 873*b**2 + 12*b + 192 = 0. What is b?
-4/9, 1/2, 16/3
Factor -g**4/3 + 19*g**3/3 - 41*g**2 + 301*g/3 - 196/3.
-(g - 7)**2*(g - 4)*(g - 1)/3
Find l such that -3*l**2 + 4875*l = 0.
0, 1625
Factor -4*w**3 - 52*w**2.
-4*w**2*(w + 13)
Factor -2*o**2 - 676*o.
-2*o*(o + 338)
Solve 5*b**3 - 295*b**2 + 4760*b - 11760 = 0.
3, 28
What is b in -b**2/7 - 790*b/7 - 1576/7 = 0?
-788, -2
Find p such that p**5/4 - p**4/4 - 3*p**3/4 + p**2/4 + p/2 = 0.
-1, 0, 1, 2
What is z in 3*z**5/7 + 3*z**4 + 54*z**3/7 + 60*z**2/7 + 24*z/7 = 0?
-2, -1, 0
Factor -8*k**3/11 + 24*k**2/11 + 30*k/11 + 8/11.
-2*(k - 4)*(2*k + 1)**2/11
Determine n, given that 4*n**2/7 - 352*n/7 + 7744/7 = 0.
44
Determine y so that 2*y**3 - 418*y**2 + 2446*y - 2030 = 0.
1, 5, 203
Factor u**3/3 + 3*u**2 - 106*u/3 + 32.
(u - 6)*(u - 1)*(u + 16)/3
Solve r**2 - 15*r - 216 = 0 for r.
-9, 24
Find o, given that -20*o**2 - 312*o + 128 = 0.
-16, 2/5
Factor 4*o**3/7 - 3420*o**2/7 + 974700*o/7 - 92596500/7.
4*(o - 285)**3/7
Determine k, given that -2*k**4/5 + 8*k**3/5 + 8*k**2/5 - 32*k/5 = 0.
-2, 0, 2, 4
Factor -4*x**4 - 8*x**3 + 60*x**2 + 128*x + 64.
-4*(x - 4)*(x + 1)**2*(x + 4)
Factor 50*c**3/7 + 660*c**2/7 - 552*c/7 + 16.
2*(c + 14)*(5*c - 2)**2/7
Factor 5*f**2 - 545*f.
5*f*(f - 109)
Let 3*x**3 - 15*x**2 + 24*x - 12 = 0. What is x?
1, 2
Factor -w**4/4 + w**3/2 - w**2/4.
-w**2*(w - 1)**2/4
Find c such that 20*c**5 - 188*c**4 + 552*c**3 - 592*c**2 + 160*c = 0.
0, 2/5, 2, 5
Factor 2*d**3/3 + 2*d**2/3 - 8*d/3 - 8/3.
2*(d - 2)*(d + 1)*(d + 2)/3
Solve -3*j**2 - 5094*j - 2162403 = 0.
-849
Factor -3*b**2 + 2037*b + 2040.
-3*(b - 680)*(b + 1)
Let w**2/5 + 6*w = 0. What is w?
-30, 0
Suppose p**2 - 249*p + 1220 = 0. What is p?
5, 244
Solve -3*m**2 + 13656*m - 15540528 = 0 for m.
2276
Factor -8836*d**4/7 - 52264*d**3/7 + 4496*d**2/7 - 96*d/7.
-4*d*(d + 6)*(47*d - 2)**2/7
Suppose k**3/4 - 505*k**2/4 + 126*k = 0. What is k?
0, 1, 504
Factor 2*u**4/13 - 220*u**3/13 + 6264*u**2/13 - 11664*u/13.
2*u*(u - 54)**2*(u - 2)/13
Factor g**3/2 + 110*g**2.
g**2*(g + 220)/2
Let 2*g**2 + 70*g + 572 = 0. What is g?
-22, -13
Factor h**4/2 - 6*h**3 + 43*h**2/2 - 12*h - 40.
(h - 5)*(h - 4)**2*(h + 1)/2
Suppose -f**3/2 - 223*f**2/2 = 0. Calculate f.
-223, 0
Solve 9*y**5/8 - 12*y**4 - 339*y**3/8 + 417*y**2/4 + 39*y = 0.
-4, -1/3, 0, 2, 13
Find p such that -2*p**5/7 - 12*p**4/7 - 22*p**3/7 - 12*p**2/7 = 0.
-3, -2, -1, 0
Solve -3*t**2 - 402*t + 405 = 0.
-135, 1
Find k, given that 18*k**2/7 - 52*k/7 = 0.
0, 26/9
What is i in i**3/2 - 33*i**2 + 726*i - 5324 = 0?
22
Factor l**4/2 - l**3 - l**2/2 + l.
l*(l - 2)*(l - 1)*(l + 1)/2
Let 4*a**4 + 656*a**3 - 664*a**2 - 656*a + 660 = 0. Calculate a.
-165, -1, 1
Suppose 5*q**4 + 10*q**3 + 5*q**2 = 0. Calculate q.
-1, 0
Solve 196*l**5 - 1260*l**4 + 1976*l**3 - 112*l**2 - 672*l - 128 = 0.
-2/7, 1, 2, 4
Factor -4*j**5 + 16*j**3 + 8*j**2 - 12*j - 8.
-4*(j - 2)*(j - 1)*(j + 1)**3
Factor 3*i**3 - 84*i**2 - 597*i - 510.
3*(i - 34)*(i + 1)*(i + 5)
Solve 3*l**4 - 3*l**3 - 81*l**2 + 243*l - 162 = 0.
-6, 1, 3
Find h, given that -39*h**2/5 - 3243*h/5 - 498/5 = 0.
-83, -2/13
Let -25*x**5 + 20*x**4 + 105*x**3 - 80*x**2 - 20*x = 0. What is x?
-2, -1/5, 0, 1, 2
Factor -4*y**4/5 + 24*y**3/5 - 52*y**2/5 + 48*y/5 - 16/5.
-4*(y - 2)**2*(y - 1)**2/5
Find c, given that -2*c**2 - 3544*c = 0.
-1772, 0
Suppose 2*x**3/15 - 14*x**2/15 - 16*x/3 - 88/15 = 0. What is x?
-2, 11
Determine f, given that -f**2/5 + 24*f = 0.
0, 120
Solve 4*j**4/3 - 1829*j**3 - 2288*j**2 - 1373*j/3 = 0 for j.
-1, -1/4, 0, 1373
Factor b**3/7 - 540*b**2/7 - 1083*b/7 - 542/7.
(b - 542)*(b + 1)**2/7
Find c such that 2*c**3 - 20*c**2 - 174*c - 288 = 0.
-3, 16
Factor b**2/2 + 3*b/2 - 2.
(b - 1)*(b + 4)/2
Factor 2*g**2/5 + 152*g/5 + 2888/5.
2*(g + 38)**2/5
Let -65*b**2 - 415*b - 660 = 0. Calculate b.
-44/13, -3
Solve -j**2 + 10*j - 9 = 0 for j.
1, 9
Let -4*k**2 - 16*k - 16 = 0. Calculate k.
-2
Factor -3*q**2 - 1188*q - 117612.
-3*(q + 198)**2
Factor -3*j**3/5 + 15*j**2 - 198*j/5.
-3*j*(j - 22)*(j - 3)/5
Factor -5*h**5/3 - 10*h**4/3 + 10*h**2/3 + 5*h/3.
-5*h*(h - 1)*(h + 1)**3/3
Find y such that 2*y**3/3 - 1118*y**