 = 0.
-17, -1, 1, 4
Determine m, given that -m**2/3 - 28*m + 172/3 = 0.
-86, 2
Suppose 3*m**2/2 - 42*m - 90 = 0. Calculate m.
-2, 30
Let -d**4/2 - 6*d**3 + 141*d**2/2 - 184*d + 120 = 0. Calculate d.
-20, 1, 3, 4
Factor -3*j**4 + 6*j**3 + 9*j**2 - 24*j + 12.
-3*(j - 2)*(j - 1)**2*(j + 2)
Factor 3*t**3 - 240*t**2 - 999*t - 756.
3*(t - 84)*(t + 1)*(t + 3)
Solve -5*s**5 + 220*s**4 + 460*s**3 + 10*s**2 - 455*s - 230 = 0.
-1, 1, 46
Suppose -j**2/12 - 13*j/3 - 17/4 = 0. What is j?
-51, -1
Suppose 3*p**2 + 69*p + 126 = 0. Calculate p.
-21, -2
Factor -10*c**2 - 75*c.
-5*c*(2*c + 15)
Let -2*p**2/11 - 6*p/11 - 4/11 = 0. Calculate p.
-2, -1
Factor 2*r**2 + 3116*r - 3118.
2*(r - 1)*(r + 1559)
Solve l**2 - 199*l - 402 = 0.
-2, 201
Factor y**5/3 + 13*y**4/3 + 40*y**3/3 + 12*y**2.
y**2*(y + 2)**2*(y + 9)/3
Factor 2*x**2 - 18*x - 72.
2*(x - 12)*(x + 3)
Factor -19*a**3/2 + 39*a**2/2 - 21*a/2 + 1/2.
-(a - 1)**2*(19*a - 1)/2
Factor k**2/2 + 18*k - 37/2.
(k - 1)*(k + 37)/2
Suppose 2156*u**4 + 224*u**3 - 68*u**2 - 8*u = 0. Calculate u.
-1/7, 0, 2/11
Suppose -2*j**3/9 + 964*j**2/9 + 2906*j/9 + 1940/9 = 0. Calculate j.
-2, -1, 485
Factor -2*x**3 - 78*x**2 - 960*x - 3584.
-2*(x + 7)*(x + 16)**2
Factor 3*t**3 + 204*t**2.
3*t**2*(t + 68)
Factor 6655*d**5 + 136125*d**4 - 75570*d**3 + 13820*d**2 - 840*d.
5*d*(d + 21)*(11*d - 2)**3
Suppose -3*l**2 + 66*l - 336 = 0. Calculate l.
8, 14
Factor -2*b**4/3 + 22*b**3/3 + 26*b**2 + 82*b/3 + 28/3.
-2*(b - 14)*(b + 1)**3/3
Find i such that i**4/12 - i**3/4 - i**2/2 + 2*i/3 = 0.
-2, 0, 1, 4
Factor 4*j**2 + 20*j + 16.
4*(j + 1)*(j + 4)
Let -2*c**3/9 - 20*c**2/9 - 56*c/9 - 16/3 = 0. What is c?
-6, -2
Factor -4*b**3 + 204*b**2 + 216*b - 416.
-4*(b - 52)*(b - 1)*(b + 2)
Determine d so that 36*d**3 + 1724*d**2 - 3760*d + 2000 = 0.
-50, 1, 10/9
Factor 2*y**4 + 28*y**3 + 34*y**2 - 160*y + 96.
2*(y - 1)**2*(y + 4)*(y + 12)
Determine n so that -n**4/2 - 8*n**3/3 - 23*n**2/6 - n = 0.
-3, -2, -1/3, 0
Find l such that -25*l**4 + 15*l**3 + 10*l**2 = 0.
-2/5, 0, 1
Find t such that -2*t**2 - 916*t - 104882 = 0.
-229
Determine k, given that k**3/6 - 45*k**2 + 4050*k - 121500 = 0.
90
Factor -w**3/7 - 6*w**2 - 17*w - 78/7.
-(w + 1)*(w + 2)*(w + 39)/7
What is w in w**2/2 - 6*w + 27/2 = 0?
3, 9
Factor 5*l**2 + 260*l + 255.
5*(l + 1)*(l + 51)
Suppose 10*x**3 + 76*x**2 + 38*x - 28 = 0. Calculate x.
-7, -1, 2/5
What is z in 3*z**5/2 + 57*z**4/2 + 153*z**3 + 48*z**2 - 960*z = 0?
-8, -5, 0, 2
Suppose -2*t**5 - 36*t**4 - 64*t**3 + 4*t**2 + 66*t + 32 = 0. Calculate t.
-16, -1, 1
Suppose -3*m**4 + 12*m**3 + 33*m**2 + 18*m = 0. Calculate m.
-1, 0, 6
Factor 2*s**2/5 - 272*s/5 + 9248/5.
2*(s - 68)**2/5
Find y, given that -2*y**2/5 - 178*y/5 + 552/5 = 0.
-92, 3
Factor -j**2/2 + 7*j/2 + 60.
-(j - 15)*(j + 8)/2
Solve -2*l**5 + 39*l**4 - 53*l**3 - 21*l**2 + 55*l - 18 = 0.
-1, 1/2, 1, 18
Factor 2*b**2 + 26*b - 180.
2*(b - 5)*(b + 18)
Determine n, given that 2*n**2/7 - 38*n/7 - 132/7 = 0.
-3, 22
Determine b so that -b**2/3 + 2*b - 8/3 = 0.
2, 4
Factor -t**4/5 + 18*t**3/5 - 108*t**2/5 + 238*t/5 - 147/5.
-(t - 7)**2*(t - 3)*(t - 1)/5
Let -2*a**5 + 4*a**4 + 28*a**3 + 16*a**2 - 26*a - 20 = 0. Calculate a.
-2, -1, 1, 5
Determine o so that 2*o**2 + 498*o = 0.
-249, 0
Factor -2*d**3/5 + 34*d**2/5 + 74*d/5 + 38/5.
-2*(d - 19)*(d + 1)**2/5
Let 2*w**5 - 16*w**4/5 - 4*w**3/5 + 16*w**2/5 - 6*w/5 = 0. Calculate w.
-1, 0, 3/5, 1
Determine w, given that -2*w**5/7 + 34*w**4/7 - 150*w**3/7 - 10*w**2/7 + 632*w/7 - 72 = 0.
-2, 1, 2, 7, 9
Factor 2*j**5/5 - 14*j**4/5 + 24*j**3/5.
2*j**3*(j - 4)*(j - 3)/5
Factor 3*q**2 + 6*q - 45.
3*(q - 3)*(q + 5)
Determine j, given that j**3/4 - 11*j**2/4 + 9*j/2 = 0.
0, 2, 9
Factor 2*b**5 + 6*b**4 - 8*b**2.
2*b**2*(b - 1)*(b + 2)**2
Factor -s**3 - 25*s**2 - 22*s + 48.
-(s - 1)*(s + 2)*(s + 24)
Suppose 5*u**4 - 20*u**3 - 35*u**2 + 50*u = 0. What is u?
-2, 0, 1, 5
Factor -2*m**3 + 24*m**2 + 62*m - 84.
-2*(m - 14)*(m - 1)*(m + 3)
Let d**2/7 - 6*d = 0. Calculate d.
0, 42
Factor 2*f**2 - 1912*f + 456968.
2*(f - 478)**2
Solve c**3/4 + 4*c**2 - 715*c/4 + 2299/2 = 0 for c.
-38, 11
Find h, given that -2*h**2/17 + 84*h - 14994 = 0.
357
Factor -2*d**2/11 - 4*d/11 + 6/11.
-2*(d - 1)*(d + 3)/11
Determine g, given that 2*g**3 + 32*g**2 + 8*g - 672 = 0.
-14, -6, 4
Let -u**2/5 - 2272*u/5 - 1290496/5 = 0. What is u?
-1136
Factor -2*i**3/11 + 42*i**2/11 - 232*i/11 + 312/11.
-2*(i - 13)*(i - 6)*(i - 2)/11
Factor -i**4/7 + i**3 - 18*i**2/7 + 20*i/7 - 8/7.
-(i - 2)**3*(i - 1)/7
Find y such that -y**2 + 2*y - 1 = 0.
1
Find q, given that 3*q**3/5 + 51*q**2/5 - 123*q/5 - 171/5 = 0.
-19, -1, 3
Let -2*x**2/3 + 10*x/3 = 0. Calculate x.
0, 5
Determine l so that 98*l**5/3 - 154*l**4/3 - 240*l**3 + 1616*l**2/3 - 736*l/3 + 32 = 0.
-3, 2/7, 2
Find i, given that -i**3/6 - 3*i**2/2 - 3*i = 0.
-6, -3, 0
Factor -2*t**2/17 - 128*t/17 - 990/17.
-2*(t + 9)*(t + 55)/17
Solve -r**5 - 5*r**4 + 253*r**3 - 499*r**2 - 5112*r - 6156 = 0.
-19, -2, 9
Factor 500*m**3 - 1008*m**2 + 16*m.
4*m*(m - 2)*(125*m - 2)
Determine k so that 2*k**2 + 62*k - 1144 = 0.
-44, 13
Factor 2*w**4 + 7484*w**3 + 9337536*w**2 + 3887522500*w + 3878192446.
2*(w + 1)*(w + 1247)**3
Factor -2*a**2/15 - 34*a/15 - 8.
-2*(a + 5)*(a + 12)/15
Let -s**2 - 39*s - 140 = 0. Calculate s.
-35, -4
Factor -4*m**3 + 22*m**2 - 36*m + 18.
-2*(m - 3)*(m - 1)*(2*m - 3)
Determine a so that 2*a**4/11 + 6*a**3/11 - 28*a**2/11 - 24*a/11 + 80/11 = 0.
-5, -2, 2
Solve 18*q**5/13 + 724*q**4/13 + 10960*q**3/13 + 74400*q**2/13 + 196000*q/13 + 40000/13 = 0 for q.
-10, -2/9
Solve 5*y**4 + 45*y**3 + 115*y**2 + 75*y = 0 for y.
-5, -3, -1, 0
Solve -3*r**3 + 1230*r**2 + 2469*r + 1236 = 0.
-1, 412
Factor j**2/9 - 17*j/3 + 50/9.
(j - 50)*(j - 1)/9
Suppose -21*w**5/2 + 15*w**4 + 6*w**3 - 15*w**2 + 9*w/2 = 0. What is w?
-1, 0, 3/7, 1
Factor x**5/2 - 11*x**4/2 + 9*x**3 + x**2 - 19*x/2 + 9/2.
(x - 9)*(x - 1)**3*(x + 1)/2
Solve -y**2/2 + 1483*y/2 = 0 for y.
0, 1483
Determine c so that -5*c**4 + 75*c**3 - 1365*c**2/4 + 845*c/2 = 0.
0, 2, 13/2
Factor -a**3/9 + 37*a**2 - 219*a + 327.
-(a - 327)*(a - 3)**2/9
Find l, given that l**5 + 15*l**4 + 62*l**3 + 34*l**2 - 63*l - 49 = 0.
-7, -1, 1
Solve c**3 + 99*c**2 + 2499*c + 2401 = 0 for c.
-49, -1
Solve 9*z**2/4 + 115*z/4 - 13/2 = 0 for z.
-13, 2/9
Determine s so that s**3/9 + 7*s**2 - 64*s/9 = 0.
-64, 0, 1
Factor -3*t**3/4 + 33*t**2/4 - 27*t/2.
-3*t*(t - 9)*(t - 2)/4
Factor -2*w**2 - 282*w.
-2*w*(w + 141)
Factor 4*j**5 - 20*j**4 + 32*j**3 - 16*j**2.
4*j**2*(j - 2)**2*(j - 1)
Let 7*x**4/5 + 2021*x**3/5 - 4652*x**2/5 + 1164*x/5 = 0. What is x?
-291, 0, 2/7, 2
Let -3*x**2/7 + 828*x/7 = 0. Calculate x.
0, 276
Find g, given that g**2/4 - 255*g/4 + 253/2 = 0.
2, 253
Factor -y**3 + 4*y**2 + 5*y.
-y*(y - 5)*(y + 1)
Find l, given that -2*l**3 + 218*l**2 - 430*l + 214 = 0.
1, 107
What is r in -2*r**2/13 + 42*r/13 + 704/13 = 0?
-11, 32
Factor -y**2/3 + 758*y/3 - 143641/3.
-(y - 379)**2/3
Suppose u**4/7 + 904*u**3/7 + 306456*u**2/7 + 46172704*u/7 + 2608757776/7 = 0. Calculate u.
-226
Factor 2*i**4/15 - 6*i**3/5 + 2*i**2 - 14*i/15.
2*i*(i - 7)*(i - 1)**2/15
Determine v so that 5*v**2/4 - 119*v/4 - 6 = 0.
-1/5, 24
Find k such that k**4/3 + 55*k**3 + 164*k**2/3 = 0.
-164, -1, 0
Solve 2*b**4/17 + 328*b**3/17 + 3744*b**2/17 + 14720*b/17 + 19456/17 = 0.
-152, -4
Solve -4*f**4 - 8*f**3 + 28*f**2 + 32*f - 48 = 0 for f.
-3, -2, 1, 2
Factor -9*w**4/8 + 111*w**3/4 - 180*w**2 + 108*w.
-3*w*(w - 12)**2*(3*w - 2)/8
Let -4*o**3/3 - 44*o**2/3 - 20*o + 36 = 0. Calculate o.
-9, -3, 1
Factor -j**3/8 + 3*j**2/8 - j/4.
-j*(j - 2)*(j - 1)/8
Factor -846*u**3 - 4*u**2.
-2*u**2*(423*u + 2)
Factor -3*s**2 + 117*s.
-3*s*(s - 39)
Factor 4*y**3/9 - 128*y**2/3 - 176*y - 1600/9.
4*(y - 100)*(y + 2)**2/9
Factor 2*n**3/3 + 28*n**2 + 320*n + 1600/3.
2*(n + 2)*(n + 20)**2/3
Factor 2*v**4 - 48*v**3 + 378*v**2 - 972*v.
2*v*(v - 9)**2*(v - 6)
Factor 2*b**3/5 + 26*b**2/5 - 12*b.
2*b*(b - 2)*(b + 15)/5
Suppose 2*r**5/3 + 32*r**4 + 946*r**3/3 - 4892*r**2/3 + 2184*r - 2704/3 = 0. What is r?
-26, 1, 2
Find g such that -4*g**5/19 + 58*g**4/19 - 160*g**3/19 + 66*g**2/19 = 0.
0, 1/2, 3, 11
Suppose w**2/4 - 213*w/4 - 385 = 0. Calculate w.
-7, 220
Factor -o**3 + 4*o**2 - 5*o + 2.
-(o - 2)*(o - 1)**2
Factor -2*r**2 + 124*r - 1922.
-2*(r - 31)**2
Solve -a**3/3 - 11*a**2/3 - 28*a/3 = 0