511
Factor -3*u**3/5 + 45*u**2 - 441*u/5 + 219/5.
-3*(u - 73)*(u - 1)**2/5
Factor 3*b**3 + 48*b**2 - 3*b - 48.
3*(b - 1)*(b + 1)*(b + 16)
What is i in -28*i**4 + 244*i**3 + 2452*i**2 + 2780*i + 600 = 0?
-5, -1, -2/7, 15
Factor d**2/3 - 6*d.
d*(d - 18)/3
Factor -4*u**2 + 92*u + 312.
-4*(u - 26)*(u + 3)
Factor -54*v**4/5 + 6102*v**3/5 - 2412*v**2 + 8008*v/5 - 1776/5.
-2*(v - 111)*(3*v - 2)**3/5
Factor x**4/3 + 2*x**3/3 - x**2/3 - 2*x/3.
x*(x - 1)*(x + 1)*(x + 2)/3
Find f such that 5*f**5 - 255*f**4 + 2790*f**3 + 13390*f**2 - 34155*f + 18225 = 0.
-5, 1, 27
What is t in -2*t**2/5 - 2*t/5 + 4/5 = 0?
-2, 1
Factor 400*i**4/3 - 12680*i**3/3 + 59569*i**2/3 + 216194*i + 348843.
(4*i + 11)**2*(5*i - 93)**2/3
Factor 5*l**2 + 90*l - 95.
5*(l - 1)*(l + 19)
What is z in -29*z**4/4 - 13*z**3/2 + 61*z**2/4 - 3*z/2 = 0?
-2, 0, 3/29, 1
Determine y, given that -y**2/7 - 47*y/7 + 48/7 = 0.
-48, 1
Factor -57*d**3 - 60*d**2 - 3*d.
-3*d*(d + 1)*(19*d + 1)
Determine m, given that 4*m**3/19 - 30*m**2/19 - 58*m/19 + 36/19 = 0.
-2, 1/2, 9
Factor 3*r**3 + 12888*r**2 + 18455616*r + 8809480704.
3*(r + 1432)**3
What is u in -u**4 - 14*u**3 - 36*u**2 - 34*u - 11 = 0?
-11, -1
Find a such that -4*a**3 + 565*a**2 + 427*a - 142 = 0.
-1, 1/4, 142
Factor -2*q**4/7 + 570*q**3/7 + 3468*q**2/7 + 6968*q/7 + 4656/7.
-2*(q - 291)*(q + 2)**3/7
Factor -5*p**2 + 80*p + 180.
-5*(p - 18)*(p + 2)
Find m such that 4*m**5 + 28*m**4 + 56*m**3 + 8*m**2 - 60*m - 36 = 0.
-3, -1, 1
Factor -5*h**4 - 90*h**3 - 160*h**2.
-5*h**2*(h + 2)*(h + 16)
Let -16*s**2 - 100*s - 24 = 0. What is s?
-6, -1/4
Solve 3*y**2 - 2283*y = 0 for y.
0, 761
Factor -2*m**2/5 - 1376*m/5 + 1378/5.
-2*(m - 1)*(m + 689)/5
Factor -5*a**3 + 75*a**2 + 245*a - 1275.
-5*(a - 17)*(a - 3)*(a + 5)
Suppose -8*g**5 + 10*g**4 + 70*g**3 + 70*g**2 + 10*g - 8 = 0. Calculate g.
-1, 1/4, 4
What is a in -4*a**3/7 - 16*a**2/7 + 2096*a/7 + 4224/7 = 0?
-24, -2, 22
Find k such that -k**2/4 + 157*k/4 - 39 = 0.
1, 156
Factor 5*z**3/4 - 55*z**2/4 - 100*z.
5*z*(z - 16)*(z + 5)/4
Find w, given that w**5 + 32*w**4 + 61*w**3 + 30*w**2 = 0.
-30, -1, 0
Determine c, given that -3*c**2 + 60*c - 225 = 0.
5, 15
Determine o, given that -o**5/2 - 11*o**4 - 37*o**3/2 + 464*o**2 - 826*o + 392 = 0.
-14, 1, 4
What is x in -2*x**4/5 + 18*x**3/5 - 6*x**2 + 14*x/5 = 0?
0, 1, 7
Factor 7*n**4/3 - 4*n**3 + n**2 + 2*n/3.
n*(n - 1)**2*(7*n + 2)/3
Suppose -2*p**2 - 154*p/3 + 484 = 0. What is p?
-33, 22/3
Let 4*d**2/3 - 200*d/3 + 2500/3 = 0. Calculate d.
25
Factor -5*z**3 - 150*z**2 - 145*z.
-5*z*(z + 1)*(z + 29)
Find d, given that -4*d**2/3 + 8*d - 12 = 0.
3
Factor 2*z**2 + 288*z + 10368.
2*(z + 72)**2
Factor m**3/5 + 12*m**2/5 + 4*m.
m*(m + 2)*(m + 10)/5
Suppose 2*v**4/11 + 412*v**3/11 - 2094*v**2/11 + 3368*v/11 - 1688/11 = 0. Calculate v.
-211, 1, 2
Suppose 5*o**4 + 30*o**3 + 40*o**2 = 0. What is o?
-4, -2, 0
Find k, given that k**3 - 126*k**2 - 127*k = 0.
-1, 0, 127
Find q, given that -q**2/4 + 766*q = 0.
0, 3064
Let 5*s**3 + 3130*s**2 - 5*s - 3130 = 0. Calculate s.
-626, -1, 1
What is s in -2*s**4/7 - 18*s**3/7 - 16*s**2/7 = 0?
-8, -1, 0
Factor d**3/8 + 165*d**2/8 - d/8 - 165/8.
(d - 1)*(d + 1)*(d + 165)/8
What is a in -15*a**5 + 55*a**4 - 30*a**3 - 60*a**2 + 40*a = 0?
-1, 0, 2/3, 2
Factor 2*v**3 + 96*v**2 + 1198*v + 1104.
2*(v + 1)*(v + 23)*(v + 24)
Factor -2*d**3/9 + 8*d**2/9 + 10*d/9.
-2*d*(d - 5)*(d + 1)/9
Factor 2*p**3/13 + 96*p**2/13 - 2214*p/13 + 10692/13.
2*(p - 9)**2*(p + 66)/13
Determine m, given that 5*m**5 - 267*m**4 + 836*m**3 + 708*m**2 - 400*m = 0.
-1, 0, 2/5, 4, 50
Factor -2*b**3/9 + 50*b**2/9 - 176*b/9 + 56/3.
-2*(b - 21)*(b - 2)**2/9
Suppose -5*y**2 + 40*y - 60 = 0. Calculate y.
2, 6
Factor -v**3/6 - 77*v**2/3 + 267*v/2 + 159.
-(v - 6)*(v + 1)*(v + 159)/6
Factor 3*d**2 + 6*d.
3*d*(d + 2)
Factor -33*u**4 - 159*u**3 - 240*u**2 - 108*u.
-3*u*(u + 2)**2*(11*u + 9)
Factor 2*r**5 - 18*r**3 + 8*r**2 + 24*r.
2*r*(r - 2)**2*(r + 1)*(r + 3)
Factor 2*l**4/7 - 66*l**3/7 + 576*l**2/7 - 512*l/7.
2*l*(l - 16)**2*(l - 1)/7
Factor -4*h**2/5 - 76*h - 376/5.
-4*(h + 1)*(h + 94)/5
Factor 78*f**5/7 + 216*f**4/7 - 576*f**3/7 - 2400*f**2/7 - 288*f.
6*f*(f + 2)**3*(13*f - 42)/7
Let -j**3/5 + j**2/5 = 0. Calculate j.
0, 1
Find z such that 2*z**2/11 + 186*z/11 + 4324/11 = 0.
-47, -46
Factor 5*z**2 + 15335*z.
5*z*(z + 3067)
Factor 2*f**4/7 - 2*f**3/7 - 16*f**2.
2*f**2*(f - 8)*(f + 7)/7
Find x such that 2*x**3/5 + 6*x**2 - 32*x/5 = 0.
-16, 0, 1
What is s in 2*s**5/13 + 186*s**4/13 + 178*s**3/13 - 562*s**2/13 - 924*s/13 - 368/13 = 0?
-92, -1, 2
Factor v**5 - 8*v**4 + 21*v**3 - 22*v**2 + 8*v.
v*(v - 4)*(v - 2)*(v - 1)**2
Solve 2*z**4 - 24*z**3 + 18*z**2 + 44*z = 0.
-1, 0, 2, 11
What is y in -2*y**2 + 146*y = 0?
0, 73
Determine q so that -4*q**4/7 + 12*q**3/7 + 652*q**2/7 - 2988*q/7 - 8424/7 = 0.
-13, -2, 9
Determine a so that -a**3/3 - 427*a**2/3 - 2114*a/3 - 1688/3 = 0.
-422, -4, -1
Suppose 3*d**5 + 30*d**4 - 21*d**3 - 588*d**2 = 0. Calculate d.
-7, 0, 4
Factor 4*c**2/5 + 72*c/5 + 68/5.
4*(c + 1)*(c + 17)/5
Factor -3*t**3/7 - 1698*t**2/7 - 240267*t/7.
-3*t*(t + 283)**2/7
Factor -142*k**2 - 853*k - 6.
-(k + 6)*(142*k + 1)
Determine u, given that -2*u**2 + 72*u + 410 = 0.
-5, 41
Factor -3*i**2 + 21*i + 24.
-3*(i - 8)*(i + 1)
Solve 2*v**2 - 9980*v + 12450050 = 0.
2495
Factor -i**2/2 - 91*i - 8281/2.
-(i + 91)**2/2
Find f, given that -5*f**4 - 10*f**3 + 140*f**2 - 230*f + 105 = 0.
-7, 1, 3
Solve -3*n**5/4 + 27*n**3/4 - 3*n**2 - 9*n = 0 for n.
-3, -1, 0, 2
Let 205*i**2 - 190*i - 15 = 0. What is i?
-3/41, 1
Determine y so that 3*y**4/5 - 42*y**3/5 + 36*y**2/5 + 42*y/5 - 39/5 = 0.
-1, 1, 13
Solve -4*z**4 - 24*z**3 - 20*z**2 = 0.
-5, -1, 0
Factor i**4 + 23*i**3 + 131*i**2 - 143*i - 1452.
(i - 3)*(i + 4)*(i + 11)**2
Determine r so that -2*r**5/7 + 194*r**4/7 - 4398*r**3/7 - 15194*r**2/7 + 4400*r/7 + 15000/7 = 0.
-3, -1, 1, 50
What is y in y**2 + 116*y + 3364 = 0?
-58
Suppose -2*k**4/9 - 20*k**3/9 - 10*k**2/3 + 100*k/9 + 112/9 = 0. What is k?
-7, -4, -1, 2
Solve 3*d**4/2 - 72*d**3 + 1050*d**2 - 3600*d - 12000 = 0 for d.
-2, 10, 20
Solve 28*i**3 + 288*i**2 + 668*i + 168 = 0 for i.
-7, -3, -2/7
Factor -2*s**4/5 - 4412*s**3/5 + 13248*s**2/5 - 13252*s/5 + 4418/5.
-2*(s - 1)**3*(s + 2209)/5
Factor -2*z**4/5 + 23*z**3/5 + 12*z**2/5.
-z**2*(z - 12)*(2*z + 1)/5
Determine t so that -20*t**3 + 772*t**2 + 3752*t + 1376 = 0.
-4, -2/5, 43
Find i, given that -2*i**4/5 + 12*i**3 - 466*i**2/5 + 912*i/5 = 0.
0, 3, 8, 19
Factor -x**3/6 + 5*x**2/3 + 11*x/6.
-x*(x - 11)*(x + 1)/6
Factor 3*d**5 - 36*d**4 + 90*d**3 - 84*d**2 + 27*d.
3*d*(d - 9)*(d - 1)**3
Factor -q**4/5 - 39*q**3/5 + q**2/5 + 39*q/5.
-q*(q - 1)*(q + 1)*(q + 39)/5
Find j, given that 2*j**4/11 - 6*j**3/11 - 20*j**2/11 = 0.
-2, 0, 5
Factor -4*x**4 - 48*x**3 + 308*x**2 - 528*x + 272.
-4*(x - 2)**2*(x - 1)*(x + 17)
Suppose g**5/4 - 3*g**4 + 27*g**3/2 - 27*g**2 + 81*g/4 = 0. Calculate g.
0, 3
Factor 6*c**3/5 - 56*c**2/5 - 2*c/5 + 36.
2*(c - 9)*(c - 2)*(3*c + 5)/5
Factor -5*z**3 - 75*z**2 + 720*z - 1100.
-5*(z - 5)*(z - 2)*(z + 22)
Let 13*s**3/6 + 31*s**2/6 - 29*s/6 - 5/2 = 0. Calculate s.
-3, -5/13, 1
Let -45*r**4/8 + 411*r**3/8 - 27*r**2/4 = 0. Calculate r.
0, 2/15, 9
Suppose -b**4/2 - 239*b**3/10 + 293*b**2/10 - 49*b/10 = 0. What is b?
-49, 0, 1/5, 1
Factor -4*f**3 - 392*f**2 - 772*f - 384.
-4*(f + 1)**2*(f + 96)
Determine q so that -q**5/5 - 4*q**4/5 - 6*q**3/5 - 4*q**2/5 - q/5 = 0.
-1, 0
Solve -7*v**4/4 + 13*v**3/2 + v**2/4 - 11*v - 3 = 0.
-1, -2/7, 2, 3
Factor 5*q**3 + 24075*q**2 + 28968240*q - 28992320.
5*(q - 1)*(q + 2408)**2
Let 16*o**5 + 132*o**4 + 320*o**3 + 328*o**2 + 144*o + 20 = 0. Calculate o.
-5, -1, -1/4
Factor 515*i**2 + 525*i + 10.
5*(i + 1)*(103*i + 2)
Factor -2645*u**3 - 5060*u**2 + 455*u - 10.
-5*(u + 2)*(23*u - 1)**2
Factor 2*h**2/7 + 40*h/7.
2*h*(h + 20)/7
Determine g, given that 4*g**3/3 + 20*g**2 - 136*g/3 = 0.
-17, 0, 2
Suppose 2*c**4/5 + 14*c**3/5 - 24*c**2/5 - 136*c/5 + 224/5 = 0. What is c?
-7, -4, 2
Solve 2*z**2 + 20*z + 18 = 0.
-9, -1
Suppose -7*j**2/8 - 125*j/8 + 9/4 = 0. What is j?
-18, 1/7
Find p such that 2*p**5 - 16*p**4 + 36*p**3 - 54*p = 0.
-1, 0, 3
Factor 3*q**2 - 3576*q - 10755.
3*(q - 1195)*(q + 3)
Factor 2*g**3/3 + 132*g**2 + 262*g + 392/3.
2*(g + 1)**2*(g + 196)/3
Solve -4*s**2 + 1048*s + 1052 = 0.
-1, 263
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