ppose -2*z**2/13 + 316*z/13 - 12482/13 = 0. What is z?
79
What is l in -l**4 - 8*l**3 - 24*l**2 - 32*l - 16 = 0?
-2
What is a in 5*a**4 + 1070*a**3 + 56165*a**2 - 115560*a + 58320 = 0?
-108, 1
Solve -4*p**3/19 - 18*p**2/19 - 20*p/19 = 0.
-5/2, -2, 0
Find l, given that 5*l**2 - 68*l - 28 = 0.
-2/5, 14
Let -98*r**5/13 - 336*r**4/13 + 1392*r**3/13 - 704*r**2/13 + 96*r/13 = 0. What is r?
-6, 0, 2/7, 2
Solve -k**2/2 - 2*k - 2 = 0 for k.
-2
Determine x so that -3*x**2/4 + 3*x/4 = 0.
0, 1
Find p, given that 4*p**3 - 2*p**2/7 = 0.
0, 1/14
Factor -3*o**2 - 42*o - 39.
-3*(o + 1)*(o + 13)
Find k such that -3*k**5 - k**4 + 23*k**3 - 11*k**2 - 20*k + 12 = 0.
-3, -1, 2/3, 1, 2
Factor 12*f**2 - 19*f - 10.
(f - 2)*(12*f + 5)
Factor 3*g**3 - 126*g**2 + 648*g.
3*g*(g - 36)*(g - 6)
Suppose -4*z**3/5 + 696*z**2/5 - 4068*z/5 + 6048/5 = 0. Calculate z.
3, 168
Factor -q**4/2 - 29*q**3 - 897*q**2/2 - 812*q - 392.
-(q + 1)**2*(q + 28)**2/2
Find n such that -2*n**5 + 222*n**4 + 450*n**3 + 226*n**2 = 0.
-1, 0, 113
Factor -5*r**5 - 10*r**4 + 10*r**2 + 5*r.
-5*r*(r - 1)*(r + 1)**3
What is y in 5*y**2 + 660*y - 1340 = 0?
-134, 2
Factor j**5/6 - 7*j**4/3 + 32*j**3/3 - 59*j**2/3 + 95*j/6 - 14/3.
(j - 7)*(j - 4)*(j - 1)**3/6
Factor -s**3/5 + 14*s**2/5 + 32*s/5.
-s*(s - 16)*(s + 2)/5
What is w in -3*w**3/2 + 1611*w**2/2 + 3*w/2 - 1611/2 = 0?
-1, 1, 537
Factor 3*j**3/5 - 51*j**2 - 264*j/5 + 516/5.
3*(j - 86)*(j - 1)*(j + 2)/5
What is c in 2*c**2/9 - 4*c = 0?
0, 18
Factor -4*a**3/3 - 8*a**2/3 + 192*a + 384.
-4*(a - 12)*(a + 2)*(a + 12)/3
Suppose d**5/4 - d**3/2 + d/4 = 0. Calculate d.
-1, 0, 1
Let -10*m**4 + 155*m**3 + 255*m**2 + 5*m - 85 = 0. Calculate m.
-1, 1/2, 17
Solve -4*t**2/7 + 324/7 = 0.
-9, 9
Factor 8*d**3/5 - 26*d**2/5 - 26*d/5 + 8/5.
2*(d - 4)*(d + 1)*(4*d - 1)/5
Suppose 5*z**4/6 + 100*z**3/3 - 35*z**2 - 100*z/3 + 205/6 = 0. Calculate z.
-41, -1, 1
Determine c, given that 4*c**5/3 - 316*c**4/3 + 2068*c**3/3 - 1244*c**2 - 312*c + 1728 = 0.
-1, 2, 3, 72
What is f in -2*f**2/13 - 36*f/13 - 162/13 = 0?
-9
Suppose 2*k**3/3 - 622*k**2/3 + 15370*k + 117978 = 0. What is k?
-7, 159
Solve 9*o**5/4 + 37*o**4/2 + 205*o**3/4 + 51*o**2 + 9*o = 0.
-3, -2, -2/9, 0
Solve -5*k**2 - 50*k = 0.
-10, 0
Factor -h**3 - 277*h**2 - 19043*h + 19321.
-(h - 1)*(h + 139)**2
Factor -t**2/4 - 277*t/4 + 139/2.
-(t - 1)*(t + 278)/4
What is o in -2*o**2 - 32*o = 0?
-16, 0
Let 25*w**5 - 1570*w**4 + 22010*w**3 + 82840*w**2 + 70125*w + 10890 = 0. Calculate w.
-2, -1, -1/5, 33
Solve 5*y**5 + 110*y**4 - 10*y**3 - 220*y**2 + 5*y + 110 = 0.
-22, -1, 1
Factor -g**2/5 + 36*g/5 + 76/5.
-(g - 38)*(g + 2)/5
Factor -u**3/7 + 5*u**2/7 - u + 3/7.
-(u - 3)*(u - 1)**2/7
Factor 4*a**5 + 32*a**4 + 72*a**3 + 64*a**2 + 20*a.
4*a*(a + 1)**3*(a + 5)
Factor 2*c**4 - 4*c**2 + 2.
2*(c - 1)**2*(c + 1)**2
Solve -2*h**3 + 1028*h**2 - 131064*h - 266256 = 0.
-2, 258
Let -4*h**2 + 36*h + 40 = 0. What is h?
-1, 10
Determine g so that 7*g**5/9 + 67*g**4/3 + 593*g**3/9 - 1481*g**2/9 - 460*g/3 + 500/9 = 0.
-25, -5, -1, 2/7, 2
Determine l so that 5*l**3 - 255*l**2 - 260*l = 0.
-1, 0, 52
Factor d**4/3 + 53*d**3/3 + 51*d**2 + 151*d/3 + 50/3.
(d + 1)**3*(d + 50)/3
Factor -2*y**2/11 + 34*y - 740/11.
-2*(y - 185)*(y - 2)/11
Let -w**2 - 58*w - 165 = 0. Calculate w.
-55, -3
Solve -t**4/11 - 8*t**3/11 + 65*t**2/11 = 0 for t.
-13, 0, 5
Solve -5*x**2 + 370*x + 1155 = 0 for x.
-3, 77
Factor -2*s**3 - 8*s**2.
-2*s**2*(s + 4)
Solve 3*f**2 - 18*f - 48 = 0.
-2, 8
Suppose 3*l**5 - 3*l**4 = 0. What is l?
0, 1
Suppose 2*i**5 - 2*i**4 - 30*i**3 + 18*i**2 + 108*i = 0. What is i?
-3, -2, 0, 3
Factor 2*k**2/3 + 22*k/3 + 56/3.
2*(k + 4)*(k + 7)/3
Factor 3*t**4 + 51*t**3 - 123*t**2 - 171*t.
3*t*(t - 3)*(t + 1)*(t + 19)
Determine f, given that -2*f**2/5 + 424*f/5 + 856/5 = 0.
-2, 214
Let -8*j**4 - 205*j**3 - 1042*j**2 + 3556*j - 1176 = 0. Calculate j.
-14, 3/8, 2
Factor -16*w**3 + 211*w**2 - 39*w.
-w*(w - 13)*(16*w - 3)
Find f, given that 4*f**4 + 208*f**3 + 584*f**2 - 208*f - 588 = 0.
-49, -3, -1, 1
Factor -5*u**4 + 15*u**3 + 45*u**2 + 25*u.
-5*u*(u - 5)*(u + 1)**2
Factor -m**4 + 76*m**3 + 399*m**2 + 486*m.
-m*(m - 81)*(m + 2)*(m + 3)
Factor t**3 + 25*t**2 + 18*t - 144.
(t - 2)*(t + 3)*(t + 24)
Suppose 5*g**2 + 270*g = 0. What is g?
-54, 0
Let -2*k**4/3 + 2*k**3 = 0. Calculate k.
0, 3
Factor -m**3/4 - 147*m**2/4 - 179*m - 213.
-(m + 2)*(m + 3)*(m + 142)/4
Suppose 2*j**3/3 - 112*j**2 - 1400*j/3 + 1376 = 0. Calculate j.
-6, 2, 172
Factor -5*m**2/4 - 7*m + 3.
-(m + 6)*(5*m - 2)/4
Determine o so that 4*o**4 + 272*o**3 - 276*o**2 = 0.
-69, 0, 1
Suppose -6*k**5 + 63*k**4 - 132*k**3 + 99*k**2 - 24*k = 0. What is k?
0, 1/2, 1, 8
Find k such that 4*k**4 + 22*k**3/5 - 332*k**2/5 + 278*k/5 - 12 = 0.
-5, 2/5, 1/2, 3
Factor j**3 + 127*j**2 + 1631*j + 5537.
(j + 7)**2*(j + 113)
Determine c, given that 4*c**3 - 108*c + 216 = 0.
-6, 3
Suppose -84*s**5 - 237*s**4 + 801*s**3 - 555*s**2 + 75*s = 0. What is s?
-5, 0, 5/28, 1
Factor -k**4/5 - 29*k**3/5 - 32*k**2 + 768*k/5.
-k*(k - 3)*(k + 16)**2/5
Factor -2*w**2/19 - 14*w + 540/19.
-2*(w - 2)*(w + 135)/19
Determine t so that -4*t**3 - 108*t**2 - 864*t - 2160 = 0.
-15, -6
Factor -3*x**3 + 30*x**2 - 75*x.
-3*x*(x - 5)**2
Find f, given that -57*f**2 + 120*f - 12 = 0.
2/19, 2
Factor 58*o**4/11 - 46*o**3/11 - 12*o**2/11.
2*o**2*(o - 1)*(29*o + 6)/11
Find c such that 2*c**3/5 - 32*c/5 = 0.
-4, 0, 4
What is b in -5*b**4/6 - 25*b**3/6 + 20*b**2 = 0?
-8, 0, 3
Find n such that 18*n**5 + 112*n**4/3 + 8*n**3/3 = 0.
-2, -2/27, 0
What is f in -3*f**2 + 27*f = 0?
0, 9
Find m such that -2*m**3/11 + 8*m**2/11 + 58*m/11 + 48/11 = 0.
-3, -1, 8
Solve -5*w**4 + 5760*w**3 - 1664630*w**2 + 3312000*w - 1653125 = 0 for w.
1, 575
Factor 20*r**3 + 955*r**2 - 2240*r + 500.
5*(r - 2)*(r + 50)*(4*r - 1)
Suppose 10*f**5 - 158*f**4 + 748*f**3 - 1284*f**2 + 522*f + 162 = 0. Calculate f.
-1/5, 1, 3, 9
Suppose l**2/6 + 529*l/3 + 279841/6 = 0. What is l?
-529
Let 42*h**3/5 + 408*h**2/5 + 258*h/5 - 108/5 = 0. Calculate h.
-9, -1, 2/7
Determine a so that 2*a**3 + 306*a**2 - 312*a - 616 = 0.
-154, -1, 2
Factor -3*x**3 - 141*x**2 - 1848*x - 4356.
-3*(x + 3)*(x + 22)**2
Suppose 4*x**2/5 + 84*x/5 + 416/5 = 0. Calculate x.
-13, -8
Solve -a**2 + 11*a - 30 = 0.
5, 6
Determine c, given that -72*c**5 + 336*c**4 + 22*c**3 - 1146*c**2 + 1260*c - 400 = 0.
-2, 5/6, 1, 4
Solve -8100*k**4/7 + 39240*k**3 - 2316436*k**2/7 - 29648*k - 4624/7 = 0 for k.
-2/45, 17
Factor 4*l**2 + 3008*l + 565504.
4*(l + 376)**2
Determine t so that -5*t**5 + 20*t**4 - 10*t**3 - 20*t**2 + 15*t = 0.
-1, 0, 1, 3
Find l such that -2*l**2/13 + 8544*l/13 - 9124992/13 = 0.
2136
Find v, given that 55*v**5 - 40*v**4 - 195*v**3 + 40*v**2 + 140*v = 0.
-14/11, -1, 0, 1, 2
Factor -3*t**3/2 + 135*t**2/2 - 261*t/2 + 129/2.
-3*(t - 43)*(t - 1)**2/2
Factor 3*a**3 - 72*a**2 - 81*a + 150.
3*(a - 25)*(a - 1)*(a + 2)
Factor 10*j**2/3 + 52*j/15 + 2/15.
2*(j + 1)*(25*j + 1)/15
Solve 12*l**2 - 71*l/3 - 2/3 = 0.
-1/36, 2
Factor k**4 - 3*k**3 + 2*k**2.
k**2*(k - 2)*(k - 1)
Solve 5*p**2 - 45*p + 100 = 0.
4, 5
Factor 2*l**3/9 - 14*l**2/9 + 8*l/3.
2*l*(l - 4)*(l - 3)/9
Let -2*o**2 + 170*o + 5232 = 0. What is o?
-24, 109
Determine o so that -3*o**5 - 18*o**4 + 216*o**3 - 66*o**2 - 837*o - 540 = 0.
-12, -1, 3, 5
Let -g**3/2 - 107*g**2/2 + 217*g/2 - 109/2 = 0. What is g?
-109, 1
Suppose -d**4/3 - 121*d**3/3 - 1599*d**2 - 58835*d/3 + 137842/3 = 0. What is d?
-41, 2
Factor 2*q**4 - 14*q**3 - 16*q**2.
2*q**2*(q - 8)*(q + 1)
Factor 3*i**2 - 72*i - 651.
3*(i - 31)*(i + 7)
Factor 2*a**3/5 - 180*a**2 + 102144*a/5 - 200704/5.
2*(a - 224)**2*(a - 2)/5
Find l such that -2*l**2/17 + 108*l/17 + 224/17 = 0.
-2, 56
Solve -3*n**2/5 - 53784*n/5 - 241059888/5 = 0.
-8964
Factor 10*x**2/3 + 2*x/3 - 8/3.
2*(x + 1)*(5*x - 4)/3
Find v, given that v**4 - 100*v**3 - 306*v**2 - 308*v - 103 = 0.
-1, 103
Find h such that -h**5 + 11*h**4 - 28*h**3 - 16*h**2 + 128*h - 112 = 0.
-2, 2, 7
Factor -2*a**4/17 + 2*a**3/17 + 32*a**2/17 + 40*a/17.
-2*a*(a - 5)*(a + 2)**2/17
Solve -w**3/2 + 43*w**2/2 - 231*w/2 + 333/2 = 0.
3, 37
Factor 4*l**4 - 36*l**3 - 340*l**2 - 300*l.
4*l*(l - 15)*(l + 1)*(l + 5)
Factor -4*c**5 - 148*c**4 - 280*c**3.
-4*c**3*(c + 2)*(c + 35)
Find c, given that -2*c**5/5 - 48*c**4/5 - 382*c**3/5 - 976*c**2/5 + 384*c/5 + 1024/5 = 0.
-8, -1, 1
Factor -2