culate f.
-12, -2, 0
Factor -2*q**3 - 102*q**2 - 1134*q + 4374.
-2*(q - 3)*(q + 27)**2
Factor -2*p**2/13 - 202*p/13 - 396/13.
-2*(p + 2)*(p + 99)/13
Let -2*r**5/5 - 2*r**4/5 + 66*r**3/5 - 126*r**2/5 = 0. Calculate r.
-7, 0, 3
Solve -p**3/5 - 48*p**2/5 = 0 for p.
-48, 0
Factor 2*o**2/3 - 38*o.
2*o*(o - 57)/3
Let 2*w**5 - 2*w**4 - 6*w**3 + 10*w**2 - 4*w = 0. What is w?
-2, 0, 1
Factor 20*c**2 - 925*c + 230.
5*(c - 46)*(4*c - 1)
Suppose 3*a**2/8 - 81*a/4 + 159/8 = 0. What is a?
1, 53
Factor k**2/4 + 35*k/2 - 36.
(k - 2)*(k + 72)/4
Determine h, given that -2*h**3/23 - 4*h**2 - 1144*h/23 - 1936/23 = 0.
-22, -2
Factor -8*m**2 - 60*m - 108.
-4*(m + 3)*(2*m + 9)
Factor 2*q**2 - 30*q - 68.
2*(q - 17)*(q + 2)
Let 699380*a**5 + 4461072*a**4 + 7877268*a**3 + 2347736*a**2 - 52944*a + 288 = 0. What is a?
-3, -2/5, 2/187
Let -5*b**3 + 205*b**2 = 0. Calculate b.
0, 41
Let -44*x**5 - 536*x**4 + 520*x**3 + 640*x**2 - 476*x - 104 = 0. What is x?
-13, -1, -2/11, 1
Factor -2*l**3/9 + 4*l**2 + 2*l/9 - 4.
-2*(l - 18)*(l - 1)*(l + 1)/9
Factor m**4/3 + 35*m**3 - 111*m**2 - 977*m/3 - 180.
(m - 5)*(m + 1)**2*(m + 108)/3
Factor 3*o**2 + 15*o - 612.
3*(o - 12)*(o + 17)
What is w in 5*w**3 + 20*w**2 - 25*w = 0?
-5, 0, 1
Find q, given that 13*q**4/12 + 85*q**3/12 - 55*q**2/12 - 85*q/12 + 7/2 = 0.
-7, -1, 6/13, 1
Determine b, given that 2*b**2/7 - 22*b - 480/7 = 0.
-3, 80
Let -l**5/5 + 16*l**4/5 + 78*l**3/5 + 44*l**2/5 - 77*l/5 - 12 = 0. Calculate l.
-3, -1, 1, 20
Factor -z**3 - 27*z**2 + 28*z.
-z*(z - 1)*(z + 28)
Solve -2*o**4/3 - 58*o**3/3 - 82*o**2 - 42*o + 144 = 0.
-24, -3, 1
Let -g**4/8 + 5*g**3/8 - g**2 + g/2 = 0. Calculate g.
0, 1, 2
Let k**5 + 11*k**4 - 111*k**3 + 257*k**2 - 230*k + 72 = 0. What is k?
-18, 1, 4
Solve 8*a**5 - 1236*a**4 + 3056*a**3 - 2436*a**2 + 608*a = 0.
0, 1/2, 1, 152
What is f in -16*f**5 - 108*f**4 - 148*f**3 - 36*f**2 + 20*f = 0?
-5, -1, 0, 1/4
Factor 2*h**3/7 - 136*h**2/7 - 570*h/7 - 432/7.
2*(h - 72)*(h + 1)*(h + 3)/7
Solve -1125*p**5 + 1425*p**4 + 805*p**3 - 1405*p**2 + 320*p - 20 = 0 for p.
-1, 2/15, 1
Factor -g**2 - 1784*g - 795664.
-(g + 892)**2
Determine d, given that 2*d**2 + 2424*d + 2422 = 0.
-1211, -1
Solve 25*j**3 + 248*j**2 + 605*j - 50 = 0 for j.
-5, 2/25
Solve r**5 + 4*r**4 - 3*r**3 - 14*r**2 - 8*r = 0.
-4, -1, 0, 2
Find l, given that 40*l**5 - 1615*l**4 + 600*l**3 = 0.
0, 3/8, 40
Find c, given that 5*c**3 + 20*c**2 - 35*c - 50 = 0.
-5, -1, 2
Suppose 40*d**4/13 + 192*d**3/13 + 262*d**2/13 + 24*d/13 - 8 = 0. Calculate d.
-2, -13/10, 1/2
Factor 2116*w**3 - 2484*w**2 + 384*w - 16.
4*(w - 1)*(23*w - 2)**2
Suppose -27*q**3 - 2382*q**2 - 52800*q - 11616 = 0. What is q?
-44, -2/9
Factor 2*n**4/11 + 40*n**3/11 - 86*n**2/11 + 4*n.
2*n*(n - 1)**2*(n + 22)/11
Find c such that c**3/4 - 15*c**2/4 + 3*c + 7 = 0.
-1, 2, 14
Solve -k**4/7 + 3*k**3/7 + 61*k**2/7 - 9*k = 0 for k.
-7, 0, 1, 9
Find r, given that -5*r**2/4 + 55*r/2 - 105/4 = 0.
1, 21
Let 4*y**3/3 + 23*y**2 + 75*y + 52/3 = 0. What is y?
-13, -4, -1/4
Factor 4*p**4 + 13768*p**3 + 11847364*p**2.
4*p**2*(p + 1721)**2
Determine m so that -344*m**4/11 - 422*m**3/11 - 76*m**2/11 + 2*m/11 = 0.
-1, -1/4, 0, 1/43
Factor 2*o**2/7 - 64*o/7 + 512/7.
2*(o - 16)**2/7
Solve -4*u**4/5 - 72*u**3/5 - 124*u**2/5 + 72*u/5 + 128/5 = 0.
-16, -2, -1, 1
Factor -z**3/4 + 3*z**2 + 79*z/4 + 51/2.
-(z - 17)*(z + 2)*(z + 3)/4
Find x, given that -5*x**4 - 20*x**3 + 845*x**2 + 80*x - 3300 = 0.
-15, -2, 2, 11
Solve -5*w**2/6 + 115*w/3 + 500/3 = 0 for w.
-4, 50
Factor -3*d**3/8 - 21*d**2 + 345*d/8 - 87/4.
-3*(d - 1)**2*(d + 58)/8
Factor -5*x**4 + 25*x**3 - 10*x**2 - 100*x + 120.
-5*(x - 3)*(x - 2)**2*(x + 2)
What is d in 2*d**2/5 + 366*d/5 + 724/5 = 0?
-181, -2
Find v such that -5*v**2 - 6510*v + 6515 = 0.
-1303, 1
Suppose -3*v**5 + 6*v**4 - 6*v**2 + 3*v = 0. What is v?
-1, 0, 1
Factor 2*m**2/7 + 396*m/7 - 848.
2*(m - 14)*(m + 212)/7
Let -11*a**5/8 + 3*a**4 + 7*a**3/8 - 3*a**2 + a/2 = 0. What is a?
-1, 0, 2/11, 1, 2
Factor -h**2/4 - 663*h - 439569.
-(h + 1326)**2/4
Factor 3*u**4 + 15*u**3 + 27*u**2 + 21*u + 6.
3*(u + 1)**3*(u + 2)
What is t in -t**5 - 18*t**4 - 61*t**3 - 72*t**2 - 28*t = 0?
-14, -2, -1, 0
Suppose 5*r**5 - 15*r**4 - 5*r**3 + 15*r**2 = 0. Calculate r.
-1, 0, 1, 3
Let 14*a**3/3 + 80*a**2/3 - 122*a/3 + 28/3 = 0. Calculate a.
-7, 2/7, 1
Factor 3*d**3 + 258*d**2 + 5547*d.
3*d*(d + 43)**2
Let -36*c**3 + 280*c**2 - 188*c - 56 = 0. Calculate c.
-2/9, 1, 7
What is a in -50*a**5 - 55*a**4 + 145*a**3 + 265*a**2 + 125*a + 10 = 0?
-1, -1/10, 2
Factor 6750*m**3/7 + 3300*m**2/7 + 760*m/21 + 16/21.
2*(5*m + 2)*(45*m + 2)**2/21
Factor -i**2 + 250*i + 504.
-(i - 252)*(i + 2)
Solve 5*s**3 - 8120*s**2 + 3304825*s - 6577210 = 0 for s.
2, 811
What is n in -5*n**2 + 270*n - 265 = 0?
1, 53
Factor w**4 - 7*w**2 - 6*w.
w*(w - 3)*(w + 1)*(w + 2)
Factor f**2/6 + 11*f/6 + 5/3.
(f + 1)*(f + 10)/6
What is k in -5*k**3 + 1695*k**2 - 191535*k + 7214485 = 0?
113
Factor -4*l**2 - 24*l - 20.
-4*(l + 1)*(l + 5)
Factor r**4/4 + 5*r**3/2 + 17*r**2/4 - 7*r.
r*(r - 1)*(r + 4)*(r + 7)/4
Factor -3*h**5/4 - 1179*h**4/4 - 43512*h**3 - 2866794*h**2 - 72001188*h - 69177612.
-3*(h + 1)*(h + 98)**4/4
Factor -a**2/5 + 29*a/5 - 78/5.
-(a - 26)*(a - 3)/5
Let -25*b**3/2 - 45*b**2/2 - 12*b - 2 = 0. What is b?
-1, -2/5
Suppose -242*l**2/7 + 486*l/7 - 4/7 = 0. Calculate l.
1/121, 2
Factor 4*u**4/3 + 7120*u**3/3 + 1058504*u**2 + 6329680*u/3 + 3161284/3.
4*(u + 1)**2*(u + 889)**2/3
Solve 5*u**2/6 + 3185*u/6 + 2110 = 0.
-633, -4
Factor -p**3 - 17*p**2 + 37*p - 19.
-(p - 1)**2*(p + 19)
Factor 4*s**4 - 76*s**3 - 104*s**2 + 480*s.
4*s*(s - 20)*(s - 2)*(s + 3)
Factor -i**3/2 + 76*i**2 + 310*i + 312.
-(i - 156)*(i + 2)**2/2
Factor t**2/3 + 370*t/3 - 371/3.
(t - 1)*(t + 371)/3
What is f in 2*f**3 - 580*f**2/9 + 4718*f/9 - 340/3 = 0?
2/9, 15, 17
Determine q, given that 13*q**2 - 62*q/5 - 3/5 = 0.
-3/65, 1
Suppose b**4/3 - 13*b**3 + 37*b**2/3 + 13*b - 38/3 = 0. What is b?
-1, 1, 38
Factor -2*c**2 - 44*c.
-2*c*(c + 22)
Factor 3*w**3 + 132*w**2 + 87*w - 35322.
3*(w - 14)*(w + 29)**2
Find s such that -5*s**4 + 45*s**3 - 110*s**2 + 160 = 0.
-1, 2, 4
What is w in -126*w**5/5 + 60*w**4 + 208*w**3/5 - 416*w**2/5 - 352*w/5 - 64/5 = 0?
-2/3, -2/7, 2
Determine h so that -3*h**3 - 120*h**2 + 399*h + 516 = 0.
-43, -1, 4
Find v, given that -2*v**2/3 + 34*v/3 + 12 = 0.
-1, 18
Factor -3*f**2 - 60*f + 468.
-3*(f - 6)*(f + 26)
Let 12*q**4 + 296*q**3 - 332*q**2/3 - 784*q/3 + 400/3 = 0. Calculate q.
-25, -1, 2/3
Determine n so that -2*n**2/11 + 270*n/11 = 0.
0, 135
Factor 2*i**3/5 - 504*i**2/5 + 502*i/5.
2*i*(i - 251)*(i - 1)/5
Factor -2*b**3/3 - 26*b**2/3 + 58*b/3 - 10.
-2*(b - 1)**2*(b + 15)/3
Determine p so that -p**3/2 + 5*p**2/2 - p - 4 = 0.
-1, 2, 4
Factor 5*b**5 - 40*b**4 + 25*b**3 + 250*b**2.
5*b**2*(b - 5)**2*(b + 2)
Factor 2*i**2/5 + 856*i/5 + 91592/5.
2*(i + 214)**2/5
Suppose 5*d**3 + 467*d**2/3 + 512*d/3 + 20 = 0. Calculate d.
-30, -1, -2/15
Factor -4*z**3/5 + 576*z**2/5 - 20148*z/5 - 42632/5.
-4*(z - 73)**2*(z + 2)/5
Factor -21*z**3 + 711*z**2 + 837*z + 105.
-3*(z - 35)*(z + 1)*(7*z + 1)
Suppose 2*x**2/15 - 592*x/5 + 131424/5 = 0. Calculate x.
444
Suppose 2*n**3/5 + 112*n**2/15 + 14*n/3 - 212/5 = 0. Calculate n.
-53/3, -3, 2
Find g such that 2*g**5/9 + 118*g**4/9 + 198*g**3 + 730*g**2/9 - 14848*g/9 - 6728/3 = 0.
-29, -2, 3
Find g such that -g**3/2 - 35*g**2 - 201*g/2 = 0.
-67, -3, 0
Factor 2*a**3 - 120*a**2 + 1914*a - 3364.
2*(a - 29)**2*(a - 2)
Determine f, given that -3*f**3 - 90*f**2 + 189*f - 96 = 0.
-32, 1
Let -5*t**2 - 105*t + 650 = 0. Calculate t.
-26, 5
Let 9*s**4 + 60*s**3 - 563*s**2 + 166*s + 120 = 0. Calculate s.
-12, -1/3, 2/3, 5
Solve 12*c**5 + 8*c**4 - 64*c**3 + 56*c**2 - 12*c = 0.
-3, 0, 1/3, 1
Determine n so that 2*n**4/5 + 2*n**3 - 2*n**2/5 - 2*n = 0.
-5, -1, 0, 1
Find c such that -36*c**3 + 88*c**2 - 52*c = 0.
0, 1, 13/9
Factor f**4/6 + f**3/6 - 65*f**2/6 + 21*f/2.
f*(f - 7)*(f - 1)*(f + 9)/6
Find z, given that 20667*z**2 + 55776*z + 37632 = 0.
-112/83
Factor -44*q**2 - 52*q - 8.
-4*(q + 1)*(11*q + 2)
Suppose 3*l**5 - 288*l**4 + 1119*l**3 - 1386*l**2 + 552*l = 0. Calculate l.
0, 1, 2, 92
Find g, given that 24*g**5 - 620*g**4 + 1064*g**3 - 172*g**2 - 488*g + 192 = 0.
-2/3, 1/2, 1, 24
Let -35*n**4 - 115*n**3 + 530*n**2 - 260*n - 120 = 0. What is n?
-6, -