m + 1)**2*(m + 61)/2
Factor z**3/4 + 47*z**2/4 - 77*z/2 - 50.
(z - 4)*(z + 1)*(z + 50)/4
Suppose 21*h**2/2 - 87*h/2 + 45 = 0. What is h?
2, 15/7
Determine d, given that -2*d**3 + 154*d**2 - 1560*d = 0.
0, 12, 65
Factor -4*d**3 + 68*d**2 - 56*d - 128.
-4*(d - 16)*(d - 2)*(d + 1)
Factor -3*r**2/5 - 72*r - 708/5.
-3*(r + 2)*(r + 118)/5
Find f such that -2*f**3/3 + 6*f**2 + 146*f/3 - 182 = 0.
-7, 3, 13
Determine q so that q**3 - 5*q**2 + 6*q = 0.
0, 2, 3
What is k in -2*k**5/15 - 4*k**4/15 + 2*k**3/5 + 16*k**2/15 + 8*k/15 = 0?
-2, -1, 0, 2
What is d in 2*d**2/15 - 332*d/15 + 13778/15 = 0?
83
Suppose 2*r**3 - 2126*r**2 - 4258*r - 2130 = 0. Calculate r.
-1, 1065
Solve -2*b**5 + 32*b**3 + 32*b**2 - 96*b - 128 = 0.
-2, 2, 4
Suppose 2*c**5/5 - 2*c**4/5 - 6*c**3/5 + 2*c**2/5 + 4*c/5 = 0. Calculate c.
-1, 0, 1, 2
Determine u, given that 5*u**3/4 + 252*u**2 + 601*u/4 - 201/2 = 0.
-201, -1, 2/5
Factor 2*l**3/3 - 10*l**2/3 + 8*l/3.
2*l*(l - 4)*(l - 1)/3
Factor 2*p**2 + 6*p - 36.
2*(p - 3)*(p + 6)
Let -3*d**5 - 17*d**4 - 21*d**3 + 9*d**2 = 0. What is d?
-3, 0, 1/3
Find j such that -2*j**4/13 - 8*j**3/13 + 4*j**2/13 + 24*j/13 - 18/13 = 0.
-3, 1
Determine v, given that -5*v**3 - 65*v**2 - 130*v + 200 = 0.
-10, -4, 1
Factor 4*k**4/5 + 488*k**3/5 + 14388*k**2/5 - 30256*k/5 + 15376/5.
4*(k - 1)**2*(k + 62)**2/5
Determine u so that -596*u**5/5 + 2972*u**4/5 - 4132*u**3/5 + 1732*u**2/5 + 24*u/5 = 0.
-2/149, 0, 1, 3
Find o, given that -o**4/6 - 28*o**3/3 + 115*o**2/6 - 29*o/3 = 0.
-58, 0, 1
Factor 2*p**3/7 - 4*p**2/7 - 8*p/7 + 16/7.
2*(p - 2)**2*(p + 2)/7
Factor -4*n**4/5 + 4*n**3 - 24*n**2/5.
-4*n**2*(n - 3)*(n - 2)/5
What is k in -2*k**2/11 - 8*k/11 + 90/11 = 0?
-9, 5
Let 2*r**2/7 - 10512*r/7 + 13812768/7 = 0. What is r?
2628
Suppose 4*f**2 - 344*f - 348 = 0. Calculate f.
-1, 87
Find m, given that -65*m**4/2 + 140*m**3 - 405*m**2/2 + 115*m - 20 = 0.
4/13, 1, 2
Factor -2*g**4/9 - 2*g**3 - 10*g**2/3 - 14*g/9.
-2*g*(g + 1)**2*(g + 7)/9
Suppose 87*s**2 - 351*s + 12 = 0. Calculate s.
1/29, 4
Factor -z**3/9 - 14*z**2/9 - 65*z/9 - 100/9.
-(z + 4)*(z + 5)**2/9
Factor 2*o**2/17 - 21608*o/17 + 58363208/17.
2*(o - 5402)**2/17
Factor -3*m**4 - 8*m**3 + 20*m**2 + 16*m.
-m*(m - 2)*(m + 4)*(3*m + 2)
Suppose 3*g**2/8 - 1749*g/4 + 1019667/8 = 0. Calculate g.
583
Factor -3*w**4 - 3*w**3 + 114*w**2 - 864.
-3*(w - 4)**2*(w + 3)*(w + 6)
Find w, given that -4*w**5/3 + 16*w**4/3 - 4*w**3 = 0.
0, 1, 3
Solve -r**3/8 + 19*r**2/4 + 215*r/8 = 0 for r.
-5, 0, 43
Suppose 2*n**3 - 54*n**2 + 486*n - 1458 = 0. What is n?
9
Let 3*a**5 + 30*a**4 + 114*a**3 + 204*a**2 + 171*a + 54 = 0. What is a?
-3, -2, -1
Factor -4*g**4 - 28*g**3 - 24*g**2 + 128*g + 128.
-4*(g - 2)*(g + 1)*(g + 4)**2
Factor 5*h**5 + 35*h**4 - 135*h**3 + 145*h**2 - 50*h.
5*h*(h - 1)**3*(h + 10)
Factor 6*y**3 - 573*y**2 + 3006*y - 3240.
3*(y - 90)*(y - 4)*(2*y - 3)
Solve 5*a**3/4 + 188*a**2 + 6645*a/4 + 1269/2 = 0.
-141, -9, -2/5
Let 3*p**5/2 + 27*p**4/2 + 81*p**3/2 + 69*p**2/2 - 36*p - 54 = 0. What is p?
-3, -2, 1
Factor -2*c**2 + 54*c.
-2*c*(c - 27)
Factor 4*s**3 - 464*s**2 + 460*s.
4*s*(s - 115)*(s - 1)
Factor r**5/3 - r**4/3 - 7*r**3/3 + 13*r**2/3 - 2*r.
r*(r - 2)*(r - 1)**2*(r + 3)/3
Let -y**3/7 + y**2/7 + 6*y/7 = 0. What is y?
-2, 0, 3
Let -i**3/6 + 10*i**2/3 - 37*i/2 + 30 = 0. Calculate i.
3, 5, 12
Suppose l**4/2 - 3*l**3/2 - 5*l**2/2 + 3*l/2 + 2 = 0. What is l?
-1, 1, 4
Factor f**2/3 - 27*f - 166/3.
(f - 83)*(f + 2)/3
Factor 3*v**4/2 - 3*v**3 + 3*v**2/2.
3*v**2*(v - 1)**2/2
Solve -75*i**5/2 + 1945*i**4/2 - 12485*i**3/2 - 2385*i**2/2 + 4810*i + 1690 = 0 for i.
-2/3, -2/5, 1, 13
Suppose 2*h**2 - 18 = 0. What is h?
-3, 3
Determine x, given that -7*x**3 - 39*x**2 - 81*x/4 - 5/4 = 0.
-5, -1/2, -1/14
Determine i so that 2*i**3 - 14*i - 12 = 0.
-2, -1, 3
Determine s, given that s**2/6 - s/6 - 10/3 = 0.
-4, 5
Suppose -3*l**2 + 1050*l - 91875 = 0. Calculate l.
175
Determine t so that 2*t**2 - 20*t - 48 = 0.
-2, 12
Factor -2*l**3/19 - 26*l**2/19 - 80*l/19.
-2*l*(l + 5)*(l + 8)/19
Factor 2*n**2 + 2708*n + 916658.
2*(n + 677)**2
Determine y so that -3*y**5/4 + 15*y**4/4 - 21*y**3/4 + 9*y**2/4 = 0.
0, 1, 3
Factor -3*p**2 + 1779*p.
-3*p*(p - 593)
Solve 5*c**4 - 60*c**3 + 55*c**2 = 0.
0, 1, 11
Factor 26*w**3 + 386*w**2 - 60*w.
2*w*(w + 15)*(13*w - 2)
Solve -6*p**2 - 39*p - 18 = 0.
-6, -1/2
Determine v, given that 4*v**2 - 128*v - 576 = 0.
-4, 36
Factor 9*x**3/5 + 228*x**2 + 757*x/5 + 126/5.
(x + 126)*(3*x + 1)**2/5
Solve 2*n**4/3 + 10*n**3/9 + 2*n**2/9 - 2*n/9 = 0 for n.
-1, 0, 1/3
Solve -4*o**5/7 - 4*o**4/7 + 12*o**3 + 28*o**2 - 32*o/7 - 240/7 = 0 for o.
-3, -2, 1, 5
Factor 4*j**3 - 680*j**2 + 28900*j.
4*j*(j - 85)**2
Factor -5*d**2/3 - 15*d - 100/3.
-5*(d + 4)*(d + 5)/3
Solve -4*r**3 - 56*r**2 + 660*r + 1512 = 0.
-21, -2, 9
Determine n, given that 6*n**4/5 + 2*n**3 - 246*n**2/5 - 42*n + 520 = 0.
-5, 4, 13/3
Find q, given that -q**3/7 - 5*q**2/7 + 58*q/7 - 88/7 = 0.
-11, 2, 4
Let -2*o**4 - 76*o**3 - 130*o**2 + 496*o - 288 = 0. Calculate o.
-36, -4, 1
Suppose -3*h**2/4 + 15*h/4 + 9/2 = 0. Calculate h.
-1, 6
Factor 3*n**4 + 45*n**3 - 12*n**2 - 180*n.
3*n*(n - 2)*(n + 2)*(n + 15)
Factor -9*h**4 + 21*h**3 - 4*h**2 - 4*h.
-h*(h - 2)*(3*h - 2)*(3*h + 1)
Let -361*g**2/4 + 7125*g - 140625 = 0. What is g?
750/19
Factor -q**2 + 121*q - 468.
-(q - 117)*(q - 4)
Factor 2*u**4/5 - 22*u**3/5 + 52*u**2/5 - 32*u/5.
2*u*(u - 8)*(u - 2)*(u - 1)/5
Suppose 3*f**3/2 - 237*f**2/2 + 465*f/2 - 231/2 = 0. Calculate f.
1, 77
Solve 3*m**4 + 75*m**3 + 207*m**2 + 201*m + 66 = 0 for m.
-22, -1
Find r, given that 4*r**4 + 532*r**3 = 0.
-133, 0
Factor 297052*z**3 - 138844*z**2 + 5056*z - 48.
4*(7*z - 3)*(103*z - 2)**2
Suppose -v**2 + 27*v + 198 = 0. What is v?
-6, 33
Suppose g**2/4 + 1639*g/2 + 2686321/4 = 0. Calculate g.
-1639
Factor 4*f**4 - 100*f**3 - 336*f**2.
4*f**2*(f - 28)*(f + 3)
What is w in -3*w**2/5 + 519*w - 7758/5 = 0?
3, 862
Factor -4*g**5 - 4*g**4 + 8*g**3.
-4*g**3*(g - 1)*(g + 2)
Solve 5*f**3 + 45*f**2 - 4250*f = 0.
-34, 0, 25
Determine u, given that u**3/5 - 19*u**2/5 + 84*u/5 = 0.
0, 7, 12
What is s in 5*s**2 - 6480*s + 2099520 = 0?
648
Solve 2*s**2 + 16*s - 768 = 0 for s.
-24, 16
Solve 3*y**3/5 - 12*y**2/5 + 3*y/5 + 18/5 = 0.
-1, 2, 3
Solve -t**3/4 + 11*t**2/2 - 65*t/4 - 169 = 0 for t.
-4, 13
Let -t**3/5 - 2*t**2/5 - t/5 = 0. What is t?
-1, 0
Factor y**2 - 10114*y + 25573249.
(y - 5057)**2
Find w, given that -28*w**2 - 1856*w - 528 = 0.
-66, -2/7
Factor 2*s**3 + 26*s**2 + 46*s + 22.
2*(s + 1)**2*(s + 11)
Suppose c**4 + 66*c**3 - 519*c**2 - 584*c = 0. What is c?
-73, -1, 0, 8
Determine j so that -2*j**2 - 5644*j - 3981842 = 0.
-1411
Factor 3*q**4 - 27*q**3 - 144*q**2 - 156*q.
3*q*(q - 13)*(q + 2)**2
Factor -5*q**3 + 935*q**2 - 44175*q + 43245.
-5*(q - 93)**2*(q - 1)
Factor -6*m**3 + 248*m**2 - 2330*m/3 + 1900/3.
-2*(m - 38)*(3*m - 5)**2/3
Factor 5*x**2 - 15*x - 20.
5*(x - 4)*(x + 1)
Factor -2*m**2 - 32*m/7 - 8/7.
-2*(m + 2)*(7*m + 2)/7
Determine d, given that 4*d**3 + 22660*d**2 + 32080892*d - 32103556 = 0.
-2833, 1
Factor -3*h**5/2 + 15*h**4 - 42*h**3 + 36*h**2.
-3*h**2*(h - 6)*(h - 2)**2/2
Solve n**3/2 - 33*n**2/2 - 72*n - 74 = 0 for n.
-2, 37
Factor -3*n**4 + 66*n**3 - 48*n**2 - 306*n - 189.
-3*(n - 21)*(n - 3)*(n + 1)**2
Factor x**5 + 2*x**4 - 4*x**3 - 2*x**2 + 3*x.
x*(x - 1)**2*(x + 1)*(x + 3)
Solve 2*g**3 - 6073*g**2 + 4611684*g - 2304324 = 0.
1/2, 1518
Factor -2*x**3/5 + 42*x**2/5 + 98*x/5 - 138/5.
-2*(x - 23)*(x - 1)*(x + 3)/5
Determine c, given that c**3 + 4*c**2 + 3*c = 0.
-3, -1, 0
Suppose 5*h**4/4 - 25*h**3/4 + 5*h**2/2 + 10*h = 0. What is h?
-1, 0, 2, 4
Factor -9*i**3/4 + 8139*i**2/4 - 460362*i + 153228.
-3*(i - 452)**2*(3*i - 1)/4
Find j such that j**3/4 - 3*j**2 + 21*j/4 - 5/2 = 0.
1, 10
What is k in -2*k**2/5 + 12*k/5 + 32/5 = 0?
-2, 8
Suppose 2*o**2/17 + 188*o/17 + 4418/17 = 0. Calculate o.
-47
Determine p, given that -2*p**3 + 107*p**2/2 - 173*p/2 - 25 = 0.
-1/4, 2, 25
Factor 3*h**4/5 + 21*h**3/5 + 18*h**2/5 - 96*h/5 - 96/5.
3*(h - 2)*(h + 1)*(h + 4)**2/5
Find h such that -2*h**2 - 120*h + 122 = 0.
-61, 1
Factor 2*x**5/7 + 10*x**4/7 - 26*x**3/7 + 2*x**2.
2*x**2*(x - 1)**2*(x + 7)/7
Factor -4*d**3 + 124*d**2 + 136*d - 256.
-4*(d - 32)*(d - 1)*(d + 2)
Let -k**5 + 80*k**4 + k**3 - 80*k**2 = 0. What is k?
-1, 0, 1, 80
Factor 4*l**4/3 