 - 150*c**2 + 299*c/2 = 0 for c.
0, 1, 299
Solve v**3 + 12*v**2 + 9*v - 22 = 0 for v.
-11, -2, 1
Determine d so that 5*d**2 + 45*d - 1800 = 0.
-24, 15
Factor 3*d**2/5 + 132*d/5 - 576/5.
3*(d - 4)*(d + 48)/5
Suppose g**2/4 - 359*g/4 + 179/2 = 0. What is g?
1, 358
Suppose 2*z**3/17 + 118*z**2/17 - 244*z/17 = 0. Calculate z.
-61, 0, 2
Factor 5*z**4 + 290*z**3 + 540*z**2 - 1160*z - 2240.
5*(z - 2)*(z + 2)**2*(z + 56)
Factor b**3/3 + 34*b**2/3 + 289*b/3.
b*(b + 17)**2/3
Solve l**4/3 + 68*l**3/3 + 1508*l**2/3 + 10816*l/3 = 0.
-26, -16, 0
Suppose 2*a**4/7 - 120*a**3/7 - 2*a**2/7 + 120*a/7 = 0. Calculate a.
-1, 0, 1, 60
Factor 4*v**3 + 44*v**2/7 - 72*v/7.
4*v*(v - 1)*(7*v + 18)/7
Factor -2*o**4/5 - 8*o**3/5 - 6*o**2/5.
-2*o**2*(o + 1)*(o + 3)/5
Determine u, given that -2*u**2/5 + 622*u/5 = 0.
0, 311
Find b, given that -2*b**3/15 - 46*b**2/15 - 286*b/15 - 242/15 = 0.
-11, -1
Factor -q**2 + 220*q + 221.
-(q - 221)*(q + 1)
Factor n**3/3 - 13*n**2/3.
n**2*(n - 13)/3
Let 93*a**2 + 468*a + 15 = 0. Calculate a.
-5, -1/31
Let n**4/7 - 32*n**3 + 12318*n**2/7 + 3616*n + 12769/7 = 0. What is n?
-1, 113
Let -4*q**2/9 - 3856*q/9 - 929296/9 = 0. What is q?
-482
Factor 2*l**2/13 - 256*l/13 + 8192/13.
2*(l - 64)**2/13
Factor 2*k**3/5 + 6*k**2/5 - 10*k + 42/5.
2*(k - 3)*(k - 1)*(k + 7)/5
Factor -15*o**2/2 + 207*o/2 + 111.
-3*(o + 1)*(5*o - 74)/2
Factor -2*w**3/15 - 58*w**2/15 + 2*w/15 + 58/15.
-2*(w - 1)*(w + 1)*(w + 29)/15
Suppose 4*i**5/5 - 24*i**4/5 - 168*i**3/5 + 32*i**2/5 + 516*i/5 - 72 = 0. What is i?
-3, 1, 10
Solve -2*x**2/11 - 26*x/11 - 24/11 = 0 for x.
-12, -1
Factor 2*z**3/5 - 8*z**2/5 + 2*z - 4/5.
2*(z - 2)*(z - 1)**2/5
Factor 3*h**3/5 - 3*h**2 + 24*h/5 - 12/5.
3*(h - 2)**2*(h - 1)/5
Factor 4*l**3/7 - 408*l**2/7 - 412*l/7.
4*l*(l - 103)*(l + 1)/7
Factor -3*a**4 + 30*a**3 - 87*a**2 + 60*a.
-3*a*(a - 5)*(a - 4)*(a - 1)
Factor -50*s**3/3 - 70*s**2/3 - 22*s/3 - 2/3.
-2*(s + 1)*(5*s + 1)**2/3
Factor 4*f**2 + 1956*f.
4*f*(f + 489)
Determine q so that 21*q**5 + 99*q**4 + 96*q**3 - 120*q**2 - 144*q + 48 = 0.
-2, 2/7, 1
Find i such that i**4/5 + 2*i**3/5 - i**2/5 - 2*i/5 = 0.
-2, -1, 0, 1
Find t, given that 2*t**2/5 + 2118*t/5 = 0.
-1059, 0
Factor -2*k**3/5 + 28*k**2/5 - 88*k/5 + 16.
-2*(k - 10)*(k - 2)**2/5
Determine p so that -p**2/4 - 11*p/2 - 121/4 = 0.
-11
Let 4*s**2 - 1708*s = 0. Calculate s.
0, 427
Factor s**2 + 182*s.
s*(s + 182)
Determine h, given that 2*h**2 - 23*h - 12 = 0.
-1/2, 12
Suppose -5*m**4/6 - 185*m**3/6 + 195*m**2/2 - 595*m/6 + 100/3 = 0. What is m?
-40, 1
Find f, given that -f**3/2 + 7*f**2 - 9*f/2 - 162 = 0.
-4, 9
Suppose -2*i**5/5 + 16*i**4/5 - 12*i**3/5 - 16*i**2/5 + 14*i/5 = 0. What is i?
-1, 0, 1, 7
Find c such that -3*c**2 - 1146*c - 2280 = 0.
-380, -2
Factor -s**2/3 - 428*s/3 - 45796/3.
-(s + 214)**2/3
Suppose -i**5/3 + 365*i**4/3 - 53290*i**3/3 + 3890170*i**2/3 - 141991205*i/3 + 2073071593/3 = 0. What is i?
73
Solve -4*c**2 - 48*c + 256 = 0.
-16, 4
Factor -4*x**3 - 212*x**2 - 984*x - 1152.
-4*(x + 2)*(x + 3)*(x + 48)
Suppose -4*u**5 + 28*u**4 - 60*u**3 + 36*u**2 = 0. What is u?
0, 1, 3
Let 3*f**3/2 - 1005*f**2/2 + 3981*f/2 - 2979/2 = 0. What is f?
1, 3, 331
Factor 5*z**2/4 - 2095*z/2 + 4185/4.
5*(z - 837)*(z - 1)/4
Determine q so that 72*q**4 - 324*q**3 + 424*q**2 - 112*q - 32 = 0.
-1/6, 2/3, 2
Solve y**4/4 - 17*y**3/4 + 67*y**2/4 - 87*y/4 + 9 = 0 for y.
1, 3, 12
Find q, given that 2*q**4 + 8*q**3 - 120*q**2 - 512*q - 512 = 0.
-8, -2, 8
Find g such that 105*g**2 - 130*g - 160 = 0.
-16/21, 2
Let -p**4/6 + 16*p**3/3 + 337*p**2/3 - 2480*p - 72075/2 = 0. Calculate p.
-15, 31
What is m in -m**2/6 - 4*m + 25/6 = 0?
-25, 1
Find a, given that a**3/4 - 3*a**2/4 - 7*a = 0.
-4, 0, 7
Factor x**2/3 - 23*x + 68/3.
(x - 68)*(x - 1)/3
Suppose 2*l**5/17 - 24*l**4/17 - 90*l**3/17 = 0. What is l?
-3, 0, 15
Factor q**3/2 - 4907*q**2/2.
q**2*(q - 4907)/2
Find x such that 40*x**5 + 255*x**4 + 130*x**3 - 945*x**2 + 280*x + 240 = 0.
-4, -3/8, 1
Factor 2*y**2/3 - 82*y/3 + 620/3.
2*(y - 31)*(y - 10)/3
Factor 35*s**2 + 290*s - 1185.
5*(s - 3)*(7*s + 79)
Factor -3*d**3 - 33*d**2 - 93*d - 63.
-3*(d + 1)*(d + 3)*(d + 7)
Factor 3*n**3 + 198*n**2 - 4860*n + 25800.
3*(n - 10)**2*(n + 86)
Factor a**3/5 - 581*a**2/5 + 84099*a/5 + 84681/5.
(a - 291)**2*(a + 1)/5
Factor -5*b**2 + 2835*b + 2840.
-5*(b - 568)*(b + 1)
Solve -h**2/2 + 374*h + 749/2 = 0 for h.
-1, 749
Factor -x**4/4 + 12*x**3 + 257*x**2/4 + 105*x + 53.
-(x - 53)*(x + 1)*(x + 2)**2/4
Solve b**4 + 36*b**3 + 486*b**2 + 2916*b + 6561 = 0 for b.
-9
Determine t, given that -64*t**5/3 - 132*t**4 - 839*t**3/3 - 650*t**2/3 - 28*t + 8/3 = 0.
-2, -1/4, 1/16
Determine r so that -3*r**2/8 - 9*r/2 - 33/8 = 0.
-11, -1
Factor l**2 + 94*l.
l*(l + 94)
Factor -t**3/5 + 42*t**2/5 + 231*t/5 + 188/5.
-(t - 47)*(t + 1)*(t + 4)/5
Determine b so that -64*b**5 - 352*b**4 - 612*b**3 - 436*b**2 - 124*b - 12 = 0.
-3, -1, -1/4
Let 7*q**4 + 1467*q**3 + 102270*q**2 + 2356900*q - 1029000 = 0. Calculate q.
-70, 3/7
Suppose -1083*v**2/2 + 4180*v - 24200/3 = 0. Calculate v.
220/57
Suppose -2*x**4 + 568*x**3 - 39176*x**2 - 163584*x - 165888 = 0. Calculate x.
-2, 144
Find p, given that -6*p**5 - 11973*p**4/2 + 25521*p**3 - 30054*p**2 + 6012*p = 0.
-1002, 0, 1/4, 2
Determine w, given that 4*w**4 + 4*w**3 - 80*w**2 = 0.
-5, 0, 4
Factor 5*z**4/4 - 45*z**3/2.
5*z**3*(z - 18)/4
Factor 3*h**4 + 12*h**3 - 18*h**2 - 12*h + 15.
3*(h - 1)**2*(h + 1)*(h + 5)
Find q, given that -5*q**2 + 40*q - 35 = 0.
1, 7
Find b such that -b**3 + 8*b**2 = 0.
0, 8
Suppose 52*i**5 + 174*i**4 - 288*i**3 - 818*i**2 + 600*i - 72 = 0. Calculate i.
-3, 2/13, 1/2, 2
Let 90*w**5 + 715*w**4 + 470*w**3 - 3925*w**2 + 1750*w = 0. What is w?
-5, 0, 1/2, 14/9
What is l in l**3/2 + 11*l**2/2 - 28*l + 30 = 0?
-15, 2
Factor -3*p**4/7 - 6*p**3 - 180*p**2/7 - 216*p/7.
-3*p*(p + 2)*(p + 6)**2/7
Factor -5*w**2 - 155*w - 1100.
-5*(w + 11)*(w + 20)
Solve -90*h**5/7 + 366*h**4/7 - 502*h**3/7 + 298*h**2/7 - 80*h/7 + 8/7 = 0.
1/3, 2/5, 1, 2
Factor -2*b**2/5 - 152*b/5 - 2888/5.
-2*(b + 38)**2/5
Suppose -20*g**5 - 6152*g**4 - 627896*g**3 - 20965856*g**2 + 30341740*g - 8741816 = 0. What is g?
-103, 2/5, 1
Find x, given that -3*x**3/4 + 9*x**2/4 + 3*x/4 - 9/4 = 0.
-1, 1, 3
Factor 3*r**3/5 - 18*r**2 - 93*r/5.
3*r*(r - 31)*(r + 1)/5
Factor -a**3 - 11*a**2 - 35*a - 25.
-(a + 1)*(a + 5)**2
Solve v**5 - 6*v**4 - 7*v**3 + 48*v**2 - 36*v = 0 for v.
-3, 0, 1, 2, 6
Suppose 2*w**2/9 + 34*w/9 + 28/3 = 0. Calculate w.
-14, -3
Find q, given that -3*q**5 - 3*q**4 + 33*q**3 - 21*q**2 - 30*q + 24 = 0.
-4, -1, 1, 2
Find c such that -3*c**3/4 + 15*c**2/4 + 18*c = 0.
-3, 0, 8
Factor 121*j**4 + 55*j**3 - 57*j**2 + 9*j.
j*(j + 1)*(11*j - 3)**2
What is z in -10*z**5 - 532*z**4 + 20502*z**3/5 + 5888*z**2/5 - 13864*z/5 + 672 = 0?
-60, -1, 2/5, 7
Let -2*f**5 - 156*f**4 - 4338*f**3 - 49680*f**2 - 196992*f - 248832 = 0. What is f?
-24, -3
Suppose -14*d**3/11 + 1046*d**2/11 - 1744*d/11 - 584/11 = 0. Calculate d.
-2/7, 2, 73
Solve 4*c**2/9 + 112*c/9 = 0 for c.
-28, 0
Find u, given that -3*u**2 - 339*u - 336 = 0.
-112, -1
Factor -14*g**3/3 - 8*g**2 - 2*g + 4/3.
-2*(g + 1)**2*(7*g - 2)/3
Find q, given that -5*q**2 + 40*q + 900 = 0.
-10, 18
Factor -64*c**5/5 + 224*c**4/5 - 20*c**3 + 12*c**2/5.
-4*c**2*(c - 3)*(4*c - 1)**2/5
Factor 4*f**5 - 32*f**3 + 64*f.
4*f*(f - 2)**2*(f + 2)**2
Determine p, given that -3*p**5 + 7*p**4 + p**3 - 7*p**2 + 2*p = 0.
-1, 0, 1/3, 1, 2
Let 2*o**3/7 + 198*o**2/7 + 624*o - 27040/7 = 0. What is o?
-52, 5
Find t, given that 2*t**2 + 64*t + 120 = 0.
-30, -2
Suppose j**4 + 178*j**3/5 + 2088*j**2/5 + 7776*j/5 - 3456/5 = 0. What is j?
-12, 2/5
Factor 2*v**2/9 + 176*v/9 + 830/9.
2*(v + 5)*(v + 83)/9
Factor 169*g**4 + 923*g**3 + 1842*g**2 + 1600*g + 512.
(g + 1)*(g + 2)*(13*g + 16)**2
Let -40*w**3 - 76*w**2 + 128*w - 12 = 0. What is w?
-3, 1/10, 1
Suppose 5*c**2 - 230*c - 1000 = 0. What is c?
-4, 50
Suppose -k**3/2 + 18*k**2 - 285*k/2 - 361 = 0. What is k?
-2, 19
Factor r**4 + 11*r**3/3 + 5*r**2 + 3*r + 2/3.
(r + 1)**3*(3*r + 2)/3
Suppose -3*s**3/5 + 3*s**2 - 18*s/5 = 0. Calculate s.
0, 2, 3
Solve -d**5/3 - 49*d**4/3 + 206*d**3/3 - 314*d**2/3 + 211*d/3 - 53/3 = 0.
-53, 1
Factor -36*v**4 - 208*v**3 + 300*v**2 - 56*v.
-4*v*(v - 1)*(v + 7)*(9*v - 2)
Determine m, given that 4*m**4 + 612*m**3 - 4420*m**2 + 9564*m - 5