6*p**4 + 11304*p**3 - 142560*p**2 - 8820900*p.
-4*p*(p - 45)**2*(p + 33)**2
Factor 3*a**2 + 72*a + 69.
3*(a + 1)*(a + 23)
Determine c, given that 3*c**3 - 57*c**2 + 48*c + 108 = 0.
-1, 2, 18
Factor -84*m**2 + 268*m - 48.
-4*(m - 3)*(21*m - 4)
Factor 2*m**2 - 38*m - 364.
2*(m - 26)*(m + 7)
Factor 2*o**2 - 128*o + 2048.
2*(o - 32)**2
Factor -3*d**2 + 330*d - 9075.
-3*(d - 55)**2
Suppose -c**3 - c**2 + 90*c = 0. What is c?
-10, 0, 9
Determine s so that -3*s**4 + 405*s**3 - 18225*s**2 + 273375*s = 0.
0, 45
Factor -k**3/3 - 43*k**2/3 - 40*k.
-k*(k + 3)*(k + 40)/3
Factor 3*g**3/4 - 180*g**2 + 11151*g - 41772.
3*(g - 118)**2*(g - 4)/4
Solve 2*f**4/3 - 42*f**3 + 682*f**2 - 1922*f/3 = 0.
0, 1, 31
Factor 3*p**2/4 - 12*p - 51/4.
3*(p - 17)*(p + 1)/4
What is j in -32*j**4/17 + 1456*j**3/17 + 750*j**2/17 - 38*j + 92/17 = 0?
-1, 1/4, 46
What is u in u**4 + 202*u**3 + 10789*u**2 + 59388*u + 86436 = 0?
-98, -3
Factor -5*j**3 + 22475*j**2 - 25267515*j + 25245045.
-5*(j - 2247)**2*(j - 1)
Let 2*j**3/13 - 2*j**2 - 60*j/13 = 0. Calculate j.
-2, 0, 15
Factor -3*r**3 - 33*r**2 - 24*r + 60.
-3*(r - 1)*(r + 2)*(r + 10)
Let 2*h**3/11 - 182*h**2/11 + 356*h/11 = 0. What is h?
0, 2, 89
Factor -387*t**2 + 411*t - 24.
-3*(t - 1)*(129*t - 8)
Suppose 14*m**5 - 526*m**4 + 6804*m**3 - 32400*m**2 + 22464*m + 62208 = 0. What is m?
-1, 18/7, 12
Solve -2*o**2 + 40*o + 42 = 0.
-1, 21
Suppose v**3/9 - 10*v**2/9 - 8*v/3 = 0. What is v?
-2, 0, 12
Determine b, given that -2*b**4/11 + 10*b**3/11 - 14*b**2/11 + 6*b/11 = 0.
0, 1, 3
Factor 5*a**5 - 730*a**4 + 35500*a**3 - 575000*a**2.
5*a**2*(a - 50)**2*(a - 46)
Suppose 3*i**5 - 19*i**4 - 45*i**3 + 35*i**2 + 42*i - 16 = 0. Calculate i.
-2, -1, 1/3, 1, 8
Determine y so that 4*y**4/7 + 8*y**3 + 244*y**2/7 + 48*y + 144/7 = 0.
-6, -1
Determine p so that -3*p**2/7 - 657*p/7 + 6870/7 = 0.
-229, 10
Find a such that -a**5 + 11*a**4 - 22*a**3 - 60*a**2 + 72*a = 0.
-2, 0, 1, 6
Solve -4*l**2 + 1656*l - 171396 = 0.
207
Suppose -2*j**4/9 - 10*j**3/9 - 2*j**2/9 + 14*j/3 + 4 = 0. Calculate j.
-3, -1, 2
Solve 4*r**5 - 40*r**4 - 440*r**3 - 640*r**2 + 436*r + 680 = 0 for r.
-5, -2, -1, 1, 17
Solve -r**5/9 + 8*r**4/9 + 17*r**3/9 - 20*r**2/3 - 12*r = 0.
-2, 0, 3, 9
Solve 3*m**5/4 + 12*m**4 = 0 for m.
-16, 0
Solve -50*g**4 - 60*g**3 + 22*g**2 + 24*g - 8 = 0 for g.
-1, 2/5
Determine c so that 6*c**3/7 - 4*c**2/7 - 2*c - 4/7 = 0.
-1, -1/3, 2
Factor -2*l**2/7 - 268*l/7 - 254.
-2*(l + 7)*(l + 127)/7
Solve 16*j**2/3 + 44*j/3 + 8 = 0.
-2, -3/4
Factor -5*l**4 - 65*l**3 - 115*l**2 - 55*l.
-5*l*(l + 1)**2*(l + 11)
Factor 3*c**4/7 - 108*c**3/7 - 1305*c**2/7 - 3450*c/7.
3*c*(c - 46)*(c + 5)**2/7
Factor 5*d**5 - 25*d**4 - 105*d**3 - 115*d**2 - 40*d.
5*d*(d - 8)*(d + 1)**3
Suppose 2*p**4/15 + 244*p**3/15 + 2398*p**2/5 - 15128*p/15 + 7688/15 = 0. What is p?
-62, 1
Determine n, given that 3*n**5 + 27*n**4 + 66*n**3 - 96*n = 0.
-4, -2, 0, 1
Find d, given that 3*d**4 - 8766*d**3 + 8538084*d**2 - 2772031272*d = 0.
0, 974
Factor -2*w**3/7 - 36*w**2/7 - 16*w.
-2*w*(w + 4)*(w + 14)/7
Suppose 3*s**5 + 39*s**4 + 153*s**3 + 201*s**2 + 84*s = 0. Calculate s.
-7, -4, -1, 0
Factor v**5/3 + 2*v**4/3 - v**3 - 4*v**2/3 + 4*v/3.
v*(v - 1)**2*(v + 2)**2/3
Factor -80*g**4 - 2440*g**3 - 16685*g**2 + 29280*g - 11520.
-5*(g + 16)**2*(4*g - 3)**2
Solve m**3/2 - 61*m**2/2 + 88*m - 58 = 0.
1, 2, 58
Factor 4*c**3/9 - 20*c**2/3.
4*c**2*(c - 15)/9
Factor l**3/2 + 2*l**2 - 105*l/2 - 54.
(l - 9)*(l + 1)*(l + 12)/2
Solve 6*q**4 - 30*q**3 - 153*q**2/2 - 51*q - 21/2 = 0 for q.
-1, -1/2, 7
Factor -a**2/2 + 21*a + 43/2.
-(a - 43)*(a + 1)/2
Factor 4*z**4 + 96*z**3 + 648*z**2 - 8748.
4*(z - 3)*(z + 9)**3
Solve 2*p**3/17 - 2306*p**2/17 - 4618*p/17 - 2310/17 = 0.
-1, 1155
Find t, given that -13*t**3 - 102*t**2 - 192*t + 32 = 0.
-4, 2/13
Factor -3*q**3 - 39*q**2 + 3*q + 39.
-3*(q - 1)*(q + 1)*(q + 13)
Find x, given that -3*x**5 - 105*x**4 + 852*x**3 - 1260*x**2 = 0.
-42, 0, 2, 5
Suppose -3*k**5 - 78*k**4 - 135*k**3 + 240*k**2 + 588*k + 288 = 0. Calculate k.
-24, -2, -1, 2
Factor -4*u**3 + 65*u**2 - 272*u + 64.
-(u - 8)**2*(4*u - 1)
Factor m**4/6 - 37*m**3/3 + 12*m**2 + 37*m/3 - 73/6.
(m - 73)*(m - 1)**2*(m + 1)/6
Factor 2*g**3/17 + 1062*g**2/17 + 140448*g/17 - 141512/17.
2*(g - 1)*(g + 266)**2/17
Factor 4*r**4 + 3056*r**3 + 875544*r**2 + 111485936*r + 5323453444.
4*(r + 191)**4
Factor y**3 - 21*y**2 - 24*y + 44.
(y - 22)*(y - 1)*(y + 2)
Solve -2*u**5 + 88*u**4/7 - 192*u**3/7 + 188*u**2/7 - 82*u/7 + 12/7 = 0 for u.
2/7, 1, 3
Determine q, given that -98*q**4 - 532*q**3 - 720*q**2 + 2700*q/7 + 6750/7 = 0.
-15/7, 1
Determine d so that 2*d**2 + 3202*d + 3200 = 0.
-1600, -1
Factor 5*w**4 - 270*w**3 + 3640*w**2 + 270*w - 3645.
5*(w - 27)**2*(w - 1)*(w + 1)
Solve 2*z**2 + 2570*z + 2568 = 0.
-1284, -1
Suppose 18*w**3 + 51*w**2 - 633*w + 564 = 0. Calculate w.
-47/6, 1, 4
Factor -u**5 + 21*u**4 - 147*u**3 + 359*u**2 - 48*u - 576.
-(u - 8)**2*(u - 3)**2*(u + 1)
Solve 18*g**5 + 60*g**4 - 838*g**3 - 1192*g**2 + 1064*g - 192 = 0 for g.
-8, -2, 1/3, 6
Find n, given that -2*n**5/3 - 44*n**4/3 + 16*n**3 + 44*n**2/3 - 46*n/3 = 0.
-23, -1, 0, 1
Factor 2*l**4/13 - 1392*l**3/13 + 18416*l**2 + 974400*l/13 + 980000/13.
2*(l - 350)**2*(l + 2)**2/13
Suppose x**4/5 - x**3 - 6*x**2/5 = 0. Calculate x.
-1, 0, 6
Determine q, given that 5*q**5 + 15*q**4 - 70*q**3 - 60*q**2 + 200*q = 0.
-5, -2, 0, 2
Determine y so that 5*y**4 - 15*y**3 = 0.
0, 3
Find g, given that -g**5 - g**4 + 3*g**3 + g**2 - 2*g = 0.
-2, -1, 0, 1
Determine g, given that -4*g**2 + 1908*g - 7568 = 0.
4, 473
Factor 18*t**2 - 10*t - 8.
2*(t - 1)*(9*t + 4)
Factor m**2/3 + 132*m - 397/3.
(m - 1)*(m + 397)/3
Solve -4*j**3 + 1240*j**2 - 2468*j + 1232 = 0.
1, 308
Factor -20*q**2 + 3578*q + 358.
-2*(q - 179)*(10*q + 1)
Factor -r**3 + 63*r**2 - 1023*r + 961.
-(r - 31)**2*(r - 1)
Factor 2*v**4 + 32*v**3 + 156*v**2 + 224*v + 98.
2*(v + 1)**2*(v + 7)**2
Find i such that -2*i**5 - 14*i**4 + 4*i**3 + 28*i**2 - 2*i - 14 = 0.
-7, -1, 1
Let -c**2/6 + 514*c/3 = 0. Calculate c.
0, 1028
Factor 3*g**3 - 123*g**2 + 1344*g - 3600.
3*(g - 25)*(g - 12)*(g - 4)
Factor -5*h**4 - 35*h**3 + 330*h**2 + 360*h.
-5*h*(h - 6)*(h + 1)*(h + 12)
Determine z so that -3*z**3 + 12*z**2 + 465*z + 450 = 0.
-10, -1, 15
Let 14*q**4 - 18*q**3 - 234*q**2 - 142*q + 60 = 0. Calculate q.
-3, -1, 2/7, 5
Find g, given that -27*g**2 - 483*g + 54 = 0.
-18, 1/9
Find f such that f**3/4 + 9*f**2/2 - 10*f = 0.
-20, 0, 2
Let 5*d**2 - 45*d - 180 = 0. What is d?
-3, 12
Factor 2*f**3/7 - 260*f**2/7 + 8450*f/7.
2*f*(f - 65)**2/7
Factor -5*v**4 - 375*v**3 - 1445*v**2 - 1785*v - 710.
-5*(v + 1)**2*(v + 2)*(v + 71)
Determine m so that 4*m**2 + 10*m + 4 = 0.
-2, -1/2
Factor 4*q**2 + 224*q/3 - 76/3.
4*(q + 19)*(3*q - 1)/3
Factor -2*d**3/23 - 28*d**2/23 + 34*d/23 + 60/23.
-2*(d - 2)*(d + 1)*(d + 15)/23
Solve -4*g**3 - 40*g**2 + 96*g = 0 for g.
-12, 0, 2
Suppose -x**4/8 - 11*x**3/4 - 11*x**2 - 21*x/4 + 153/8 = 0. What is x?
-17, -3, 1
What is f in -3*f**5 - 87*f**4 - 741*f**3 - 1509*f**2 + 312*f + 2028 = 0?
-13, -2, 1
Factor 4*r**4 - 20*r**3 + 28*r**2 - 12*r.
4*r*(r - 3)*(r - 1)**2
Find d, given that -2*d**5/9 + 50*d**4/9 + 80*d**3/9 - 4880*d**2/9 - 2080*d - 2016 = 0.
-7, -2, 18
Suppose 4*a**4 - 36*a**3 - 40*a**2 = 0. Calculate a.
-1, 0, 10
Let 2*r**2 + 402*r - 812 = 0. Calculate r.
-203, 2
Factor -14*a**2/5 - 34*a/5 - 4.
-2*(a + 1)*(7*a + 10)/5
Factor x**2 - 166*x + 6889.
(x - 83)**2
Let 2*q**2/3 + 2320*q/3 + 2318/3 = 0. What is q?
-1159, -1
Let -2*g**2/3 - 4186*g/3 - 4184/3 = 0. Calculate g.
-2092, -1
Factor -5*d**2 - 10*d.
-5*d*(d + 2)
What is i in i**2/5 + 14*i - 144/5 = 0?
-72, 2
Solve -i**2/4 + 23*i/2 + 47/4 = 0.
-1, 47
Solve 3*c**2/4 + 177*c/8 - 183/8 = 0.
-61/2, 1
Find f, given that -2*f**5/7 + 60*f**4/7 - 502*f**3/7 + 724*f**2/7 + 72*f - 112 = 0.
-1, 1, 2, 14
Find d, given that d**2/4 + 2013*d/2 + 4052169/4 = 0.
-2013
Factor -5*q**5 + 35*q**4 + 10*q**3 - 230*q**2 - 325*q - 125.
-5*(q - 5)**2*(q + 1)**3
Suppose -5*x**5 + 15*x**3 - 10*x**2 = 0. What is x?
-2, 0, 1
Suppose 2*u**3/11 - 162*u**2/11 + 3774*u/11 - 19166/11 = 0. Calculate u.
7, 37
Factor q**2 - 19*q + 48.
(q - 16)*(q - 3)
Let c**2/8 - 63*c/2 = 0. What is c?
0, 252
Determine r so that -2*r**4 - 42*r**3 - 32*r**2 + 168*r + 160 = 0.
-20, -2, -1, 2
Factor -3*q**2 - 3*q + 18.
