0
Factor -v**3 + 62*v**2 + 127*v + 64.
-(v - 64)*(v + 1)**2
Suppose -2*t**3/9 - 22*t**2/3 = 0. What is t?
-33, 0
Factor -3*g**4 + 105*g**3.
-3*g**3*(g - 35)
Factor 24*p**3 + 20*p**2 - 4*p.
4*p*(p + 1)*(6*p - 1)
Factor -3*a**3 - 369*a**2 + 378*a + 744.
-3*(a - 2)*(a + 1)*(a + 124)
Factor -y**2/4 - 377*y/2 - 753/4.
-(y + 1)*(y + 753)/4
Factor -3*i**4 - 576*i**3 - 28215*i**2 - 54150*i.
-3*i*(i + 2)*(i + 95)**2
Factor -2*c**3/9 + 472*c**2/3 - 27848*c.
-2*c*(c - 354)**2/9
Factor -6*u**3/7 - 8114*u**2/7 - 392080*u - 913952/7.
-2*(u + 676)**2*(3*u + 1)/7
Find i, given that -3*i**2/2 + 135*i - 6075/2 = 0.
45
Factor y**4/2 + 9*y**3/2 + y**2 - 24*y.
y*(y - 2)*(y + 3)*(y + 8)/2
Factor n**4/3 + 19*n**3 + 940*n**2/3 + 1196*n + 2704/3.
(n + 1)*(n + 4)*(n + 26)**2/3
Factor 2*q**2/5 - 6*q - 32/5.
2*(q - 16)*(q + 1)/5
Factor 5*l**4 + 130*l**3 - 275*l**2 + 140*l.
5*l*(l - 1)**2*(l + 28)
Determine b, given that -722*b**2 + 7676*b - 20402 = 0.
101/19
Factor -4*r**3/5 - 792*r**2/5 - 7344*r + 249696/5.
-4*(r - 6)*(r + 102)**2/5
Find p such that -69*p**2 + 159*p + 228 = 0.
-1, 76/23
What is o in 2*o**5/3 + 50*o**4/3 + 380*o**3/3 + 1040*o**2/3 + 320*o/3 - 1792/3 = 0?
-14, -4, 1
Solve -5*x**3 + 570*x**2 - 16245*x = 0 for x.
0, 57
Factor -2*k**2/5 + 498*k.
-2*k*(k - 1245)/5
Factor -5*u**5 + 160*u**4 - 1760*u**3 + 7680*u**2 - 11520*u.
-5*u*(u - 12)**2*(u - 4)**2
Factor 4*m**4 + 16*m**3 - 3*m**2 - 11*m + 4.
(m + 1)*(m + 4)*(2*m - 1)**2
Determine n so that -3*n**2 + 24*n - 36 = 0.
2, 6
Factor 12*c**3 + 224*c**2 - 336*c - 320.
4*(c - 2)*(c + 20)*(3*c + 2)
Find a such that -4*a**2 - 164*a + 5544 = 0.
-63, 22
Factor -2*p**3 - 172*p**2 - 4248*p - 32400.
-2*(p + 18)**2*(p + 50)
Let 4*l**3/3 - 4*l/3 = 0. Calculate l.
-1, 0, 1
Find h such that 3*h**2/4 + 9*h/4 - 66 = 0.
-11, 8
Factor 4*m**2 + 248*m + 3844.
4*(m + 31)**2
Find g such that 3*g**3/8 - 3*g**2 + 27*g/8 + 27/4 = 0.
-1, 3, 6
Factor 3*i**5 + 17*i**4 - 27*i**3 + 7*i**2.
i**2*(i - 1)*(i + 7)*(3*i - 1)
Determine t, given that 2*t**3/5 + 8*t**2 - 146*t/5 - 184/5 = 0.
-23, -1, 4
What is x in -x**3/3 + 25*x**2/3 - 61*x + 117 = 0?
3, 9, 13
Determine k, given that -9*k**5 + 34*k**4 - 10*k**3 - 40*k**2 + 19*k + 6 = 0.
-1, -2/9, 1, 3
Solve x**3/5 - 174*x**2/5 + 1917*x - 34020 = 0 for x.
45, 84
Find r such that 21*r**5 + 447*r**4 - 336*r**3 - 132*r**2 = 0.
-22, -2/7, 0, 1
Factor 5*g**4 + 85*g**3 + 425*g**2 + 795*g + 450.
5*(g + 1)*(g + 3)**2*(g + 10)
Find q, given that 96*q**3 - 128*q**2 + 18*q + 14 = 0.
-1/4, 7/12, 1
Solve 2*y**5 - 6*y**4 - 14*y**3 + 22*y**2 + 12*y - 16 = 0 for y.
-2, -1, 1, 4
Factor 4*j**3 + 1000*j**2 - 4052*j + 3048.
4*(j - 3)*(j - 1)*(j + 254)
Factor 2*l**4 + 12*l**3 - 6*l**2 - 40*l - 24.
2*(l - 2)*(l + 1)**2*(l + 6)
Find y, given that 5*y**5 - 8200*y**4 + 5379200*y**3 - 1764377600*y**2 + 289357926400*y - 18981879971840 = 0.
328
Determine m so that 15*m**5 + 385*m**4 + 595*m**3 - 145*m**2 - 610*m - 240 = 0.
-24, -1, -2/3, 1
Factor 2*m**4/3 - 2*m**3/3 - 26*m**2/3 + 50*m/3 - 8.
2*(m - 3)*(m - 1)**2*(m + 4)/3
Solve c**5/3 - 10*c**4/3 + 13*c**3 - 74*c**2/3 + 68*c/3 - 8 = 0.
1, 2, 3
Suppose -j**2/9 + 229*j/3 - 686/9 = 0. Calculate j.
1, 686
Factor 5*v**3 - 680*v**2 + 1340*v.
5*v*(v - 134)*(v - 2)
Factor l**5 - 48*l**4 + 298*l**3 - 456*l**2 + 205*l.
l*(l - 41)*(l - 5)*(l - 1)**2
Let -m**2/2 + 5032*m - 12660512 = 0. Calculate m.
5032
Factor y**2/3 - 13*y/3 + 10.
(y - 10)*(y - 3)/3
Find b such that 2*b**3/3 - 92*b**2/3 + 1330*b/3 - 5776/3 = 0.
8, 19
Find w, given that w**2/3 + w = 0.
-3, 0
Factor m**3 + 27*m**2 + 240*m + 700.
(m + 7)*(m + 10)**2
Let h**4/4 + 371*h**3/4 - 373*h**2/2 = 0. Calculate h.
-373, 0, 2
Let -2*l**3/3 - 1004*l**2/3 - 334*l = 0. What is l?
-501, -1, 0
Factor 18*j**3 - 93*j**2 + 87*j - 12.
3*(j - 4)*(j - 1)*(6*j - 1)
Factor 2*c**3/5 + 16*c**2 + 294*c/5 + 216/5.
2*(c + 1)*(c + 3)*(c + 36)/5
Determine d so that 3*d**5 - 15*d**4 - 6*d**3 + 84*d**2 - 24*d - 96 = 0.
-2, -1, 2, 4
Solve 2*c**4/25 + 292*c**3/25 - 296*c**2/25 - 292*c/25 + 294/25 = 0.
-147, -1, 1
Find a, given that 2*a**3/9 + 248*a**2/9 + 472*a/3 = 0.
-118, -6, 0
Factor 2*k**2/3 + 112*k/3 - 38.
2*(k - 1)*(k + 57)/3
Factor -5*m**2 + 535*m.
-5*m*(m - 107)
Factor 5*r**2 + 3045*r + 3040.
5*(r + 1)*(r + 608)
Solve 4*w**4 - 40*w**3 - 268*w**2 - 464*w - 240 = 0 for w.
-2, -1, 15
Factor -l**2 + 151*l.
-l*(l - 151)
What is r in 6*r**3/7 + 6420*r**2/7 = 0?
-1070, 0
Factor 2*s**3/5 - 72*s**2/5 - 78*s/5 + 148/5.
2*(s - 37)*(s - 1)*(s + 2)/5
Let -9*r**2 - 4143*r + 2766 = 0. Calculate r.
-461, 2/3
Factor a**3 + 8*a**2 - 191*a - 198.
(a - 11)*(a + 1)*(a + 18)
Determine u so that -5*u**3/4 + 165*u**2/4 - 785*u/2 + 1140 = 0.
6, 8, 19
Factor 5*p**3/4 + 25*p**2/4 - 30*p.
5*p*(p - 3)*(p + 8)/4
Suppose 3*c**5 + 2688*c**4 + 903168*c**3 + 134873088*c**2 + 7552892928*c = 0. Calculate c.
-224, 0
Factor -2*v**3/9 + 434*v**2/9 - 862*v/9 + 430/9.
-2*(v - 215)*(v - 1)**2/9
Factor 4*d**5 - 60*d**4 - 24*d**3 + 328*d**2 + 468*d + 180.
4*(d - 15)*(d - 3)*(d + 1)**3
Factor -2*v**2 + 10*v.
-2*v*(v - 5)
Determine i so that 2*i**2 - 600*i + 598 = 0.
1, 299
Factor -3*p**3/7 + 27*p**2/7 + 36*p - 84.
-3*(p - 14)*(p - 2)*(p + 7)/7
Determine f, given that -f**3 + 29*f**2 - 280*f + 900 = 0.
9, 10
What is c in 2*c**3 + 1212*c**2 + 187200*c + 1080000 = 0?
-300, -6
Let -g**3 - 9*g**2 + g + 9 = 0. Calculate g.
-9, -1, 1
Let 31*z**2/3 - 65*z/3 + 2 = 0. Calculate z.
3/31, 2
Suppose q**5/2 + 3*q**4 - 19*q**3/2 - 12*q**2 = 0. Calculate q.
-8, -1, 0, 3
Suppose 17*i**5 - 87*i**4 - 296*i**3 + 1260*i**2 - 144*i = 0. Calculate i.
-4, 0, 2/17, 3, 6
Factor -u**2/5 - 44*u - 2420.
-(u + 110)**2/5
Factor 2*d**2/19 - 32*d/19 - 520/19.
2*(d - 26)*(d + 10)/19
Find r, given that -2*r**3 - 4*r**2 + 2*r + 4 = 0.
-2, -1, 1
Factor o**3 - 153*o**2 + 3003*o - 15851.
(o - 131)*(o - 11)**2
Factor -2*v**5/3 - 32*v**4/3 - 36*v**3 - 152*v**2/3 - 98*v/3 - 8.
-2*(v + 1)**4*(v + 12)/3
Factor 4*l**2 + 56*l - 204.
4*(l - 3)*(l + 17)
Solve 5*o**4 + 1650*o**3 + 184680*o**2 + 7348320*o + 37791360 = 0 for o.
-108, -6
Suppose 2*r**4/5 - 6*r**3/5 - 238*r**2/5 - 186*r - 140 = 0. Calculate r.
-5, -1, 14
Let v**4 + 4*v**3 - 91*v**2 - 490*v = 0. Calculate v.
-7, 0, 10
Factor s**3 + 29*s**2/4 - 6*s.
s*(s + 8)*(4*s - 3)/4
Suppose -i**2/2 - 551*i/2 + 276 = 0. Calculate i.
-552, 1
Suppose -u**4/4 - 2*u**3 + 33*u**2/4 = 0. What is u?
-11, 0, 3
What is c in -2*c**5 - 14*c**4 - 24*c**3 + 32*c**2 + 128*c + 96 = 0?
-3, -2, 2
Suppose -12*o**5 + 10*o**4 + 2*o**3 = 0. What is o?
-1/6, 0, 1
Determine q, given that -2*q**2/15 - 752*q/15 - 50 = 0.
-375, -1
Determine c, given that 3*c**3/4 - 7*c**2/4 - 7*c/4 + 3/4 = 0.
-1, 1/3, 3
Factor -u**5/2 + 5*u**4/2 - 5*u**3 + 5*u**2 - 5*u/2 + 1/2.
-(u - 1)**5/2
Factor -x**4/3 - 400*x**3/3 - 17822*x**2 - 2405704*x/3 - 2352637/3.
-(x + 1)*(x + 133)**3/3
Determine o so that -2*o**3/13 - 60*o**2/13 - 466*o/13 - 408/13 = 0.
-17, -12, -1
Factor -5719872*c**3/7 + 138384*c**2 - 7812*c + 147.
-3*(124*c - 7)**3/7
Solve -12*h**2/5 + 918*h/5 + 462/5 = 0.
-1/2, 77
Factor -3*b**3 + 1509*b**2 + 1512*b.
-3*b*(b - 504)*(b + 1)
Let -6*p**4/7 - 54*p**3/7 - 6*p**2 + 54*p/7 + 48/7 = 0. What is p?
-8, -1, 1
What is s in -s**4/9 - 13*s**3/9 - 11*s**2/9 + 13*s/9 + 4/3 = 0?
-12, -1, 1
What is w in 5*w**4 + 1365*w**3 + 4065*w**2 + 4055*w + 1350 = 0?
-270, -1
Determine v, given that -7*v**5/5 - 9*v**4/5 - 2*v**3/5 = 0.
-1, -2/7, 0
Factor -s**5/2 + 5*s**4/2 - 2*s**3.
-s**3*(s - 4)*(s - 1)/2
Let -2*w**2 - 2516*w - 791282 = 0. What is w?
-629
What is o in 58*o**3 + 431*o**2 + 173*o - 14 = 0?
-7, -1/2, 2/29
Factor -3*k**3/2 + 21*k**2 - 147*k/2 + 54.
-3*(k - 9)*(k - 4)*(k - 1)/2
Factor 4*o**2 - 616*o + 612.
4*(o - 153)*(o - 1)
Factor 2*c**4 - 4*c**3 - 166*c**2 + 168*c + 3528.
2*(c - 7)**2*(c + 6)**2
Factor 4*z**4/5 - 296*z**3/5 + 292*z**2/5.
4*z**2*(z - 73)*(z - 1)/5
Solve -5*l**2 - 70*l - 245 = 0.
-7
Factor 5*r**3 - 20*r**2 + 15*r.
5*r*(r - 3)*(r - 1)
Determine p so that 250*p**4 + 950*p**3 - 1380*p**2 + 584*p - 80 = 0.
-5, 2/5
What is d in 15*d**2 - 9*d - 6 = 0?
-2/5, 1
Factor 12*s**3 + 207*s**2/4 + 63*s + 15.
3*(s + 2)**2*(16*s + 5)/4
Solve 4*h**2/3 - 100*h - 304/3 = 0.
-1, 76
Factor c**2/9 - 5*c/9 - 8/3.
(c - 8)*(c + 3)/9
Suppose -2*n**2 + 232*n = 0. What is n?
0, 116
Factor 9*a**2/2 - 381*a/8 + 123/8.
3*(3*a - 1)*(4*a - 41)/8
S