2/5 + 58*h/15 + 32/5 = 0.
-1, 3, 16
Factor 3*q**2/7 + 33*q/7 + 12.
3*(q + 4)*(q + 7)/7
Factor 44*p**2 - 100*p + 24.
4*(p - 2)*(11*p - 3)
Find b, given that 3*b**5/8 - 15*b**4/4 + 27*b**3/8 + 39*b**2/2 + 12*b = 0.
-1, 0, 4, 8
Determine k so that 50*k**4 - 62*k**3 + 12*k**2 = 0.
0, 6/25, 1
Determine u so that -2*u**2/5 - 7*u/5 = 0.
-7/2, 0
Solve r**5/4 + 5*r**4/2 + 33*r**3/4 + 10*r**2 + 4*r = 0.
-4, -1, 0
Factor -x**3 - 8*x**2 + 29*x + 180.
-(x - 5)*(x + 4)*(x + 9)
Factor 5*k**2 - 355*k - 1500.
5*(k - 75)*(k + 4)
Let 5*r**4 + 305*r**3 + 5985*r**2 + 33075*r - 92610 = 0. Calculate r.
-21, 2
Factor -2*u**2/15 + 56*u/15 - 392/15.
-2*(u - 14)**2/15
Factor -2*i**4 - 20*i**3 + 2*i**2 + 20*i.
-2*i*(i - 1)*(i + 1)*(i + 10)
Solve -65*g**5 - 296*g**4 - 473*g**3 - 326*g**2 - 92*g - 8 = 0 for g.
-2, -1, -2/5, -2/13
Find c such that 2*c**2 + 345*c/2 + 43 = 0.
-86, -1/4
What is g in 4*g**3 + 268*g**2 + 3264*g = 0?
-51, -16, 0
Find c, given that c**3 + 2331*c**2 - c - 2331 = 0.
-2331, -1, 1
Suppose -4*t**4/9 - 44*t**3/9 - 40*t**2/9 = 0. Calculate t.
-10, -1, 0
Factor 4*f**4 - 976*f**3 - 2956*f**2 - 1976*f.
4*f*(f - 247)*(f + 1)*(f + 2)
Let -6*d**5 - 111*d**4 + 579*d**3 - 939*d**2 + 615*d - 138 = 0. Calculate d.
-23, 1/2, 1, 2
Factor -4*q**4 - 12*q**3 + 16*q.
-4*q*(q - 1)*(q + 2)**2
Let -u**5/5 + u**4/5 + 16*u**3/5 + 4*u**2 = 0. What is u?
-2, 0, 5
Factor 2*g**2 - 1076*g + 2144.
2*(g - 536)*(g - 2)
Determine u so that -5*u**2 + 1580*u - 124820 = 0.
158
Factor -4*d**3 + 388*d**2 - 384*d.
-4*d*(d - 96)*(d - 1)
Factor 3*i**2 + 28572*i + 68029932.
3*(i + 4762)**2
Factor q**3 + q**2.
q**2*(q + 1)
Factor 5*d**2 + 105*d + 190.
5*(d + 2)*(d + 19)
Factor -3*k**2/2 + 2082*k.
-3*k*(k - 1388)/2
Determine b, given that -4*b**3 - 33*b**2 - 8*b = 0.
-8, -1/4, 0
Find r such that r**3/3 - r**2/3 = 0.
0, 1
Suppose -2*o**2 + 3844*o = 0. What is o?
0, 1922
Let 3*s**5/5 - 66*s**4/5 - 108*s**3 + 13608*s**2/5 = 0. Calculate s.
-14, 0, 18
Factor h**2 - 343*h - 690.
(h - 345)*(h + 2)
Solve 2*q**3/5 - 3612*q**2/5 + 2174424*q/5 - 436334416/5 = 0.
602
Solve 2*m**2 + 748*m + 3690 = 0.
-369, -5
What is f in -2*f**3/7 + 18*f**2/7 + 20*f/7 = 0?
-1, 0, 10
Suppose 3*y**3 - 99*y**2 + 186*y = 0. What is y?
0, 2, 31
Factor 2*q**3 + 122*q**2 - 2*q - 122.
2*(q - 1)*(q + 1)*(q + 61)
Suppose h**4/4 - 5*h**3/2 + 29*h**2/4 - 2*h - 12 = 0. What is h?
-1, 3, 4
Find q, given that -3*q**4 + 1374*q**3 - 4095*q**2 = 0.
0, 3, 455
Factor 4*w**3 + 102*w**2 + 624*w - 338.
2*(w + 13)**2*(2*w - 1)
Factor 2*f**3 + 288*f**2 + 11658*f + 144652.
2*(f + 29)**2*(f + 86)
Factor -2*g**3 + 158*g**2 - 608*g + 600.
-2*(g - 75)*(g - 2)**2
Let -2*a**4/7 - 11664*a**3/7 - 17006112*a**2/7 = 0. Calculate a.
-2916, 0
Factor -5*v**4 - 20*v**3 - 15*v**2.
-5*v**2*(v + 1)*(v + 3)
Factor 8*a**3/15 - 22*a**2/15 - 2*a/5.
2*a*(a - 3)*(4*a + 1)/15
Let 2*m**2 - 3968*m/5 - 794/5 = 0. Calculate m.
-1/5, 397
Let -13*s**2/4 - 9*s + 9/4 = 0. Calculate s.
-3, 3/13
Let 5*w**4 + 150*w**3 + 1065*w**2 + 2600*w + 1680 = 0. What is w?
-21, -4, -1
Factor -2*t**3/19 - 12*t**2/19 + 2*t + 48/19.
-2*(t - 3)*(t + 1)*(t + 8)/19
Factor 338*n**2/3 - 728*n/3 + 392/3.
2*(13*n - 14)**2/3
Find y such that -5*y**2 - 735*y - 730 = 0.
-146, -1
Let -12*t**2/5 + 2056*t/5 - 684/5 = 0. What is t?
1/3, 171
Factor 4*o**3/5 + 132*o**2 + 7260*o + 133100.
4*(o + 55)**3/5
Factor 4*t**2/3 - 11624*t/3 + 8444836/3.
4*(t - 1453)**2/3
Factor 3*a**4 + 63*a**3 + 270*a**2 - 96*a - 1440.
3*(a - 2)*(a + 4)**2*(a + 15)
What is j in -j**2/6 + 22*j/3 + 15/2 = 0?
-1, 45
Factor 3*l**4 + 9*l**3 - 45*l**2 + 51*l - 18.
3*(l - 1)**3*(l + 6)
Factor -2*a**3/5 + 8*a**2/5 + 2*a/5 - 8/5.
-2*(a - 4)*(a - 1)*(a + 1)/5
Suppose 3*l**4/2 - 93*l**3 + 2052*l**2 - 19440*l + 67392 = 0. Calculate l.
12, 26
Solve 4*n**2 + 384*n + 380 = 0 for n.
-95, -1
Factor 5*c**5 - 280*c**4 + 5400*c**3 - 38880*c**2 + 58320*c.
5*c*(c - 18)**3*(c - 2)
Factor 3*c**2/5 + 11*c - 38/5.
(c + 19)*(3*c - 2)/5
Solve 2*t**2/3 - 14*t/3 - 40 = 0 for t.
-5, 12
Let -4*s**5/5 - 24*s**4/5 - 12*s**3/5 + 8*s**2 = 0. Calculate s.
-5, -2, 0, 1
Determine w, given that 6*w**4/11 + 2*w**3/11 - 78*w**2/11 - 98*w/11 - 24/11 = 0.
-3, -1, -1/3, 4
Let c**3 - 7*c**2 - 60*c = 0. What is c?
-5, 0, 12
Find k, given that k**5/6 + 23*k**4/6 + 179*k**3/6 + 553*k**2/6 + 120*k + 54 = 0.
-9, -2, -1
Factor -t**2 - 6438*t - 10361961.
-(t + 3219)**2
Suppose -o**5 + 5*o**4 - 2*o**3 - 14*o**2 + 3*o + 9 = 0. Calculate o.
-1, 1, 3
Factor -2*y**3 - 2*y**2 + 372*y - 720.
-2*(y - 12)*(y - 2)*(y + 15)
Factor -3*i**5 - 6*i**4 + 12*i**3 + 24*i**2.
-3*i**2*(i - 2)*(i + 2)**2
Find n, given that -7*n**5/4 - 5*n**4/4 + 18*n**3 - 19*n**2 + 4*n = 0.
-4, 0, 2/7, 1, 2
Solve 9*g**4 - 183*g**3 + 924*g**2 - 288*g = 0 for g.
0, 1/3, 8, 12
Factor u**2/8 - 7*u/8 + 3/4.
(u - 6)*(u - 1)/8
Solve 2*w**3/7 - 8*w**2/7 - 104*w/7 - 160/7 = 0.
-4, -2, 10
Determine s so that 2*s**2/13 - 180*s/13 - 14 = 0.
-1, 91
Factor -r**2/4 + r/4 + 1/2.
-(r - 2)*(r + 1)/4
Find q, given that 2*q**2 - 1362*q + 2716 = 0.
2, 679
What is d in -d**3 - 3*d**2 + 4 = 0?
-2, 1
Determine q so that 16*q**4 - 844*q**3 + 2124*q**2 + 3784*q + 800 = 0.
-1, -1/4, 4, 50
Factor -x**3 + 71*x**2.
-x**2*(x - 71)
Factor -4*k**4 + 4*k**3 + 8*k**2.
-4*k**2*(k - 2)*(k + 1)
Factor -75*l**3 - 144*l**2 + 237*l - 18.
-3*(l - 1)*(l + 3)*(25*l - 2)
Suppose v**4/5 - v**3 + v**2 + v - 6/5 = 0. Calculate v.
-1, 1, 2, 3
Determine v so that -v**4 - 19*v**3/7 + 6*v**2/7 = 0.
-3, 0, 2/7
Factor 5*p**3 + 335*p**2 - 5*p - 335.
5*(p - 1)*(p + 1)*(p + 67)
What is d in 15*d**3 + 243*d**2 + 273*d + 45 = 0?
-15, -1, -1/5
Suppose v**4/10 - 11*v**3/5 - 78*v**2/5 - 164*v/5 - 112/5 = 0. What is v?
-2, 28
What is x in -3*x**4/5 + 33*x**3/5 - 81*x**2/5 - 33*x/5 + 84/5 = 0?
-1, 1, 4, 7
Determine j so that 5*j**4 - 3095*j**3 - 6205*j**2 - 3105*j = 0.
-1, 0, 621
Factor p**3 + 92*p**2 + 2116*p.
p*(p + 46)**2
Factor 4*j**5 + 80*j**4 - 176*j**3 + 8*j**2 + 172*j - 88.
4*(j - 1)**3*(j + 1)*(j + 22)
Let 22*a**5/9 + 38*a**4/3 - 112*a**3/9 - 8*a**2/3 = 0. Calculate a.
-6, -2/11, 0, 1
Find s such that -4*s**3/5 - 376*s**2/5 + 572*s + 3232/5 = 0.
-101, -1, 8
Find d such that -2*d**3/15 - 22*d**2/5 - 128*d/5 - 104/3 = 0.
-26, -5, -2
Let -2*k**4 - 96*k**3 + 2*k**2 + 96*k = 0. Calculate k.
-48, -1, 0, 1
Factor 2*m**2/3 + 22*m/3 + 20/3.
2*(m + 1)*(m + 10)/3
Solve 2*y**4/5 + 4*y**3 + 64*y**2/5 + 64*y/5 = 0.
-4, -2, 0
Let 21*c**4 + 27*c**3 - 15*c**2 - 27*c - 6 = 0. Calculate c.
-1, -2/7, 1
Solve y**2 + 1078*y + 290521 = 0.
-539
Factor 60*k**2 + 14*k - 4.
2*(5*k + 2)*(6*k - 1)
Find n such that n**3/3 - 113*n**2/3 - 4*n/3 + 452/3 = 0.
-2, 2, 113
What is k in 2*k**2/7 + 4232*k/7 + 2238728/7 = 0?
-1058
Let 2*t**5/9 - 44*t**4/9 + 70*t**3/3 - 32*t**2 = 0. Calculate t.
0, 3, 16
Suppose -a**4/5 - 6*a**3/5 - 3*a**2/5 + 26*a/5 + 24/5 = 0. What is a?
-4, -3, -1, 2
Determine l, given that 2*l**2/17 + 2*l - 120/17 = 0.
-20, 3
Find l, given that -3*l**4 - 27*l**3 - 60*l**2 - 36*l = 0.
-6, -2, -1, 0
Let -3*o**4 + 105*o**3 - 297*o**2 + 291*o - 96 = 0. Calculate o.
1, 32
Factor -v**2/4 - 12*v - 47/4.
-(v + 1)*(v + 47)/4
Determine g so that 5*g**5 + 20*g**4 - 130*g**3 + 220*g**2 - 155*g + 40 = 0.
-8, 1
Factor -j**3 + 21*j**2 + 136*j - 156.
-(j - 26)*(j - 1)*(j + 6)
Factor 4*r**5 - 20*r**4 - 124*r**3 - 172*r**2 - 72*r.
4*r*(r - 9)*(r + 1)**2*(r + 2)
Factor 5*b**3 - 735*b**2 + 2170*b - 1440.
5*(b - 144)*(b - 2)*(b - 1)
Factor -20*z**2 + 1208*z + 2496.
-4*(z + 2)*(5*z - 312)
Suppose -j**3/2 - 167*j**2/8 - 61*j/4 + 41/8 = 0. What is j?
-41, -1, 1/4
Suppose -b**5 - 164*b**4 + 499*b**3 - 334*b**2 = 0. What is b?
-167, 0, 1, 2
Factor 2*f**3/7 - 78*f**2/7 - 48*f - 344/7.
2*(f - 43)*(f + 2)**2/7
Solve -3*h**4 + 93*h**3 - 90*h**2 = 0 for h.
0, 1, 30
Factor -4*r**3/9 - 4*r**2/3 + 4*r/9 + 4/3.
-4*(r - 1)*(r + 1)*(r + 3)/9
Factor 2*w**3/3 - 4*w**2 + 10*w/3.
2*w*(w - 5)*(w - 1)/3
Factor 5*g**3 + 130*g**2 + 460*g + 440.
5*(g + 2)**2*(g + 22)
Let 2*p**2 + 154*p - 156 = 0. What is p?
-78, 1
Find c such that -2*c**3 + 158*c**2 + 324*c = 0.
-2, 0, 81
Suppose -3*x**4/5 - 378*x**3 - 293871*x**2/5 + 239652*x - 1205868/5 = 0. What is x?
-317, 2
Factor -3*p**3 + 18*p**2 - 33*p + 18.
-3*(p - 3)*(p - 2)*(p - 1)
Factor 3*p**4/5 + 186*p**3/5 + 4323*p**2/5 + 8928*p + 34560.
3*(p + 15)**2*(p + 16)**2/5
Determine x so that -5*x**2