 + 2*t**2 - 80*t/7 + 88/7.
2*(t - 2)**2*(t + 11)/7
Determine k so that 72*k**4/7 - 254*k**3/7 - 132*k**2/7 - 16*k/7 = 0.
-1/4, -2/9, 0, 4
Factor 2*m**4/7 - 228*m**3/7 + 7346*m**2/7 - 48336*m/7 + 89888/7.
2*(m - 53)**2*(m - 4)**2/7
Factor 5*m**3 + 690*m**2 + 1365*m + 680.
5*(m + 1)**2*(m + 136)
Determine k so that 35*k**4 + 2510*k**3 - 32675*k**2 + 9130*k = 0.
-83, 0, 2/7, 11
Suppose -4*a**3 - 8*a**2 + 36*a + 72 = 0. Calculate a.
-3, -2, 3
What is m in m**4 + 17*m**3 + 63*m**2 - 81*m = 0?
-9, 0, 1
Find m, given that m**4/2 + 31*m**3/2 + 123*m**2 + 108*m = 0.
-18, -12, -1, 0
Factor -4*l**2.
-4*l**2
Factor 45*s**3 - 28176*s**2 + 4412361*s - 587814.
3*(s - 313)**2*(15*s - 2)
Factor -3*x**3 + 60*x**2 - 57*x.
-3*x*(x - 19)*(x - 1)
Let -2*t**5/9 + 200*t**4/9 - 3304*t**3/9 - 91172*t**2/9 + 1102*t/3 + 10108 = 0. What is t?
-14, -1, 1, 57
Determine v so that 4*v**3/5 - 4*v**2 - 184*v/5 - 32 = 0.
-4, -1, 10
What is r in -6*r**4 - 74*r**3 - 150*r**2 - 102*r - 20 = 0?
-10, -1, -1/3
Factor -4*z**2 + 176*z - 1936.
-4*(z - 22)**2
Factor -5*a**4 + 80*a**3 - 320*a**2.
-5*a**2*(a - 8)**2
Determine o, given that -2*o**4 + 3*o**3 + 2*o**2 = 0.
-1/2, 0, 2
Find f such that -5*f**5 + 30*f**4 + 75*f**3 - 580*f**2 - 240*f + 2880 = 0.
-3, 4
Factor 5*a**2/4 - 25*a/4 - 15/2.
5*(a - 6)*(a + 1)/4
Determine f so that 6*f**5/7 + 2*f**4 - 4*f**3/7 - 36*f**2/7 - 34*f/7 - 10/7 = 0.
-1, 5/3
Factor 2*j**4/15 + 2*j**3/15 - 266*j**2/15 - 1274*j/15.
2*j*(j - 13)*(j + 7)**2/15
Factor 4*w**4 - 248*w**3 - 508*w**2 - 256*w.
4*w*(w - 64)*(w + 1)**2
Factor 2*a**2 + 44*a + 80.
2*(a + 2)*(a + 20)
Factor 4*g**2 + 32*g + 28.
4*(g + 1)*(g + 7)
Factor 374*c**3/5 - 752*c**2/5 + 382*c/5 - 4/5.
2*(c - 1)**2*(187*c - 2)/5
Factor -5*i**2 + 90*i + 315.
-5*(i - 21)*(i + 3)
Factor 4*l**3 + 32*l**2 + 60*l.
4*l*(l + 3)*(l + 5)
What is t in t**4 + 25*t**3 - 143*t**2 + 207*t - 90 = 0?
-30, 1, 3
Let 3*h**2 + 1506*h + 189003 = 0. What is h?
-251
Factor 3*w**2 + 450*w + 447.
3*(w + 1)*(w + 149)
Solve -y**3/3 - 4*y**2/3 = 0 for y.
-4, 0
Determine n so that -3*n**5/2 + 3*n**4/2 + 30*n**3 = 0.
-4, 0, 5
Let -5*y**4 - 80*y**3 + 765*y**2 - 1000*y - 1840 = 0. Calculate y.
-23, -1, 4
Solve -18*d**5/5 - 42*d**4/5 + 52*d**3/5 + 48*d**2/5 = 0 for d.
-3, -2/3, 0, 4/3
What is g in 4*g**2/3 + 4*g/3 - 16 = 0?
-4, 3
Factor 5*r**3 + 35*r**2 + 55*r + 25.
5*(r + 1)**2*(r + 5)
Factor f**5 + 116*f**4 + 110*f**3 - 572*f**2 + 345*f.
f*(f - 1)**2*(f + 3)*(f + 115)
Let 3*i**2/2 + 87*i/2 - 45 = 0. Calculate i.
-30, 1
What is z in 2*z**2/11 + 86*z/11 + 240/11 = 0?
-40, -3
Factor 2*b**4/7 + 16*b**3/7 + 6*b**2 + 44*b/7 + 16/7.
2*(b + 1)**2*(b + 2)*(b + 4)/7
Factor 2*v**3/9 - 1102*v**2/3 + 607202*v/3 - 334568302/9.
2*(v - 551)**3/9
Let 3*n**5/7 + 3*n**4/7 - 3*n**3 - 3*n**2/7 + 18*n/7 = 0. Calculate n.
-3, -1, 0, 1, 2
Suppose 3*b**5/5 + 24*b**4/5 + 66*b**3/5 + 72*b**2/5 + 27*b/5 = 0. What is b?
-3, -1, 0
Find i, given that -4*i**4 + 20*i**3 - 24*i**2 - 16*i + 32 = 0.
-1, 2
What is a in -35*a**5 + 30*a**4 + 40*a**3 - 30*a**2 - 5*a = 0?
-1, -1/7, 0, 1
Determine g so that -2*g**3/9 - 32*g**2/9 + 896*g/9 - 4096/9 = 0.
-32, 8
Solve 5*r**5 + 255*r**4 = 0 for r.
-51, 0
Determine k, given that -4*k**2 - 97*k + 182 = 0.
-26, 7/4
Determine s so that 2*s**3 + 6*s**2 - 360*s - 728 = 0.
-14, -2, 13
Determine n, given that 2*n**4/5 + 2*n**3 - 22*n**2/5 - 66*n/5 - 36/5 = 0.
-6, -1, 3
Find f, given that f**4/4 + 27*f**3/4 + 123*f**2/2 + 205*f + 150 = 0.
-10, -6, -1
Factor -2*p**2/9 - 46*p/9 + 100/9.
-2*(p - 2)*(p + 25)/9
Solve 2*n**4/7 + 88*n**3/7 - 906*n**2/7 + 2512*n/7 - 1696/7 = 0 for n.
-53, 1, 4
Factor -5*n**5 + 70*n**4 + 75*n**3.
-5*n**3*(n - 15)*(n + 1)
Factor 3*f**2 + 693*f - 2106.
3*(f - 3)*(f + 234)
Determine p so that -3*p**3/8 - 3*p**2/2 + 3*p/8 + 3/2 = 0.
-4, -1, 1
Solve 5*g**2/3 + 110*g + 1815 = 0.
-33
Factor 5*u**3 - 30*u**2 - 95*u + 120.
5*(u - 8)*(u - 1)*(u + 3)
Solve 5*t**5 + 70*t**4 - 75*t**3 = 0 for t.
-15, 0, 1
Find k such that -5*k**3/4 + 185*k/4 - 105 = 0.
-7, 3, 4
Factor 5*n**2 - 1050*n + 2080.
5*(n - 208)*(n - 2)
Find x such that 2*x**4/9 - 52*x**3/9 + 86*x**2/3 - 40*x = 0.
0, 3, 20
Factor i**4/5 - 3*i**3 + 14*i**2/5.
i**2*(i - 14)*(i - 1)/5
Find k such that 4*k**4 - 12*k**3 - 64*k**2 - 48*k = 0.
-2, -1, 0, 6
What is l in 4*l**2 + 8*l = 0?
-2, 0
Factor z**3 + 24*z**2 + 21*z - 46.
(z - 1)*(z + 2)*(z + 23)
Factor -2*x**4 - 12*x**3 - 10*x**2.
-2*x**2*(x + 1)*(x + 5)
Let -60*w**5 - 411*w**4 - 891*w**3 - 534*w**2 + 204*w + 72 = 0. What is w?
-3, -2, -1/4, 2/5
Factor -2*p**3/13 + 8*p**2/13 + 8*p/13 - 32/13.
-2*(p - 4)*(p - 2)*(p + 2)/13
Factor -3*r**4/4 + r**3 + r**2.
-r**2*(r - 2)*(3*r + 2)/4
Determine q so that q**2 - 170*q + 336 = 0.
2, 168
Factor n**5/4 + n**4/2 - 11*n**3/4 - 3*n**2.
n**2*(n - 3)*(n + 1)*(n + 4)/4
Solve -i**2/2 + 923*i/2 + 462 = 0.
-1, 924
Solve -4*d**3 + 268*d**2 - 1484*d + 1220 = 0 for d.
1, 5, 61
Factor -3*i**5 + 33*i**4 - 81*i**3 + 75*i**2 - 24*i.
-3*i*(i - 8)*(i - 1)**3
Find a such that 2*a**3/5 - 632*a**2/5 - 2*a/5 + 632/5 = 0.
-1, 1, 316
Factor -8*s**3 + 92*s**2 - 192*s + 108.
-4*(s - 9)*(s - 1)*(2*s - 3)
Let 2*k**2 - 112*k + 318 = 0. Calculate k.
3, 53
Factor 2*l**2/7 + 34*l + 468/7.
2*(l + 2)*(l + 117)/7
Factor -5*a**4/4 + 55*a**3/4 + 125*a**2/4 + 65*a/4.
-5*a*(a - 13)*(a + 1)**2/4
Let 5*n**5 - 170*n**4 + 860*n**3 - 530*n**2 - 865*n + 700 = 0. What is n?
-1, 1, 5, 28
Let o**3/9 - 525*o**2 + 826875*o - 434109375 = 0. Calculate o.
1575
Let -3*z**2/2 + 3*z/2 + 9 = 0. Calculate z.
-2, 3
Determine g, given that -3*g**3 - 54*g**2 - 180*g + 600 = 0.
-10, 2
Factor r**3/2 - 3*r**2/2 - 33*r/2 + 35/2.
(r - 7)*(r - 1)*(r + 5)/2
Let -x**3/6 + 2*x**2 + 19*x/6 - 13 = 0. Calculate x.
-3, 2, 13
Determine y, given that -4*y**2 - 836*y - 3280 = 0.
-205, -4
Let -a**4/4 - 33*a**3/2 - 288*a**2 - 512*a = 0. What is a?
-32, -2, 0
Factor -3*i**4 - 51*i**3 - 261*i**2 - 273*i + 588.
-3*(i - 1)*(i + 4)*(i + 7)**2
Determine x, given that -2*x**4/9 + 2*x**3 - 16*x**2/3 + 40*x/9 = 0.
0, 2, 5
Let -4*r**5/7 - 48*r**4/7 + 128*r**3/7 + 216*r**2/7 - 124*r/7 - 24 = 0. Calculate r.
-14, -1, 1, 3
Determine h so that -h**2/4 - 30*h - 900 = 0.
-60
Factor y**4 + 44*y**3 - 141*y**2 + 4*y + 188.
(y - 2)**2*(y + 1)*(y + 47)
Factor -57*o**2 + 90*o + 48.
-3*(o - 2)*(19*o + 8)
What is p in 39*p**3/7 + 11499*p**2/7 + 3012*p - 3516/7 = 0?
-293, -2, 2/13
What is o in -2*o**4/19 + 12*o**3 - 666*o**2/19 = 0?
0, 3, 111
Factor 68*b**3/7 - 270*b**2/7 - 824*b/7 - 24/7.
2*(b - 6)*(b + 2)*(34*b + 1)/7
Let 2*w**3/9 - 1352*w**2/9 - 2*w/9 + 1352/9 = 0. What is w?
-1, 1, 676
Factor -4*m**2 - 2308*m - 2304.
-4*(m + 1)*(m + 576)
Factor -5*w**2 - 14700*w + 29420.
-5*(w - 2)*(w + 2942)
Factor 8*z**2/17 - 278*z/17 + 12.
2*(z - 34)*(4*z - 3)/17
Suppose -16*j**5/5 + 444*j**4/5 + 240*j**3 - 3568*j**2/5 - 192*j = 0. What is j?
-4, -1/4, 0, 2, 30
Factor 4*s**3/7 + 516*s**2/7 + 9120*s/7 + 43600/7.
4*(s + 10)**2*(s + 109)/7
Factor 2*r**3/15 + 54*r**2/5 + 1066*r/5 - 3362/15.
2*(r - 1)*(r + 41)**2/15
Determine l, given that -2*l**3/7 + 58*l**2/7 - 64*l + 56 = 0.
1, 14
Factor 3*a**2 + 60*a + 300.
3*(a + 10)**2
Factor i**2 + 177*i - 178.
(i - 1)*(i + 178)
What is n in -n**3 + 38*n**2/3 - 43*n + 70/3 = 0?
2/3, 5, 7
Factor -5*h**3 + 80*h**2 + 380*h + 400.
-5*(h - 20)*(h + 2)**2
Factor 4*g**2 - 1120*g - 2256.
4*(g - 282)*(g + 2)
Solve -4*q**4 + 10*q**3 + 24*q**2 + 2*q - 8 = 0.
-1, 1/2, 4
Solve 114*u**4 + 117*u**3 - 225*u**2 - 6*u = 0.
-2, -1/38, 0, 1
Determine o so that o**4/3 - 208*o**3/3 + 10816*o**2/3 = 0.
0, 104
Determine s, given that -4*s**3 + 8*s**2 - 4*s = 0.
0, 1
Find x such that 3*x**4 - 18*x**3 + 15*x**2 + 36*x = 0.
-1, 0, 3, 4
Factor 4*w**4 - 619*w**3 + 1069*w**2 + 306*w.
w*(w - 153)*(w - 2)*(4*w + 1)
Factor 5*k**5 - 485*k**4 + 18815*k**3 - 364895*k**2 + 3537800*k - 13718000.
5*(k - 20)**2*(k - 19)**3
Factor -4*t**2 + 33*t - 8.
-(t - 8)*(4*t - 1)
Suppose k**4/2 + 1780*k**3 + 2376300*k**2 + 1409938000*k + 313711205000 = 0. What is k?
-890
Find q such that 2*q**2/3 + 146*q - 440/3 = 0.
-220, 1
Factor -3*w**2/5 + 36*w/5 - 81/5.
-3*(w - 9)*(w - 3)/5
Find d such that -4*d**5 - 176*d**4 - 1960*d**3 - 4864*d**2 - 4532*d - 1456 = 0.
-28, -13, -1
Find r, given that -25*r**3 + 805*r**2 - 140*r - 640 = 0.
-4/5, 1, 32
Solve -4*y**5 - 20*y**4 + 4*y**3 + 20*y**2 = 0 for y.
-5, -1, 0, 1