+ 1)*(q + 107)**2/7
Suppose 3*h**2 + 99*h + 96 = 0. Calculate h.
-32, -1
Solve 4*i**2/5 - 8*i/5 - 32/5 = 0.
-2, 4
Suppose y**4/3 - 25*y**3/3 - 52*y**2 + 60*y = 0. What is y?
-6, 0, 1, 30
Suppose 2*s**2 - 122*s - 124 = 0. Calculate s.
-1, 62
Suppose 3*v**4/8 + 15*v**3/2 - 141*v**2/2 - 1080*v + 7776 = 0. Calculate v.
-18, 8
Determine x so that 2*x**2/7 - 244*x/7 - 496/7 = 0.
-2, 124
Suppose -5*k**4 + 595*k**3 + 600*k**2 = 0. What is k?
-1, 0, 120
Suppose -y**3/4 + 25*y**2/2 + 407*y/4 - 114 = 0. What is y?
-8, 1, 57
Factor -6*w**3 + 561*w**2 - 12972*w - 6627.
-3*(w - 47)**2*(2*w + 1)
Solve -2*s**3/3 + 4*s**2 + 14*s/3 = 0.
-1, 0, 7
Factor -t**2/5 - 3*t - 56/5.
-(t + 7)*(t + 8)/5
What is x in -4*x**3 - 108*x**2 - 864*x - 1728 = 0?
-12, -3
Factor 3*p**4 - 27*p**3 + 69*p**2 - 45*p.
3*p*(p - 5)*(p - 3)*(p - 1)
Find g, given that 5*g**2 + 750*g + 745 = 0.
-149, -1
Determine j, given that 2*j**4 - 108*j**2 - 80*j + 1050 = 0.
-5, 3, 7
Let 3*r**2/5 - 102*r/5 - 21 = 0. What is r?
-1, 35
Let -2*f**2/15 - 166*f/15 - 164/15 = 0. What is f?
-82, -1
Let -4*d**3 + 316*d**2 - 7840*d + 62400 = 0. Calculate d.
20, 39
Find b, given that 5*b**3 + 165*b**2 + 730*b + 840 = 0.
-28, -3, -2
What is n in 2*n**5/9 - 104*n**4/9 + 28*n**3/3 + 896*n**2/9 + 1114*n/9 + 136/3 = 0?
-1, 4, 51
Solve 6*r**4 + 28*r**3/3 - 70*r**2/3 + 8*r = 0 for r.
-3, 0, 4/9, 1
Suppose 3*l**5/4 + 3*l**4 + 3*l**3/4 - 15*l**2/2 - 3*l + 6 = 0. What is l?
-2, 1
Solve -39*u**4 + 1047*u**3 + 1254*u**2 + 168*u = 0.
-1, -2/13, 0, 28
Factor -2*m**3/13 - 10*m**2/13 - 16*m/13 - 8/13.
-2*(m + 1)*(m + 2)**2/13
Factor k**3/6 - 3*k**2/2 + 5*k/2 - 7/6.
(k - 7)*(k - 1)**2/6
What is g in -3*g**2 + 60*g - 273 = 0?
7, 13
Solve c**5 + 28*c**4 - 720*c**3 + 4752*c**2 - 9936*c = 0 for c.
-46, 0, 6
Factor -44*i**2 - 4888*i - 444.
-4*(i + 111)*(11*i + 1)
Solve 13*w**4/2 + 141*w**3/2 + 145*w**2 - 258*w + 36 = 0 for w.
-6, 2/13, 1
Solve -75*n**5 - 20*n**4 + 245*n**3 - 90*n**2 - 100*n + 40 = 0 for n.
-2, -2/3, 2/5, 1
Solve 3*z**5/7 + 18*z**4/7 - 261*z**3/7 - 1488*z**2/7 + 1728*z/7 = 0.
-8, 0, 1, 9
Factor t**3/5 - 36*t**2/5 - 336*t/5 + 3136.
(t - 28)**2*(t + 20)/5
Determine d so that 12*d**5/5 - 108*d**4/5 - 9*d**3/5 + 78*d**2/5 + 27*d/5 = 0.
-1/2, 0, 1, 9
Determine k, given that 4*k**2/3 + 688*k/3 + 896 = 0.
-168, -4
Determine a so that 3*a**5 + 21*a**4 + 27*a**3 - 81*a**2 - 162*a = 0.
-3, 0, 2
Factor -3*r**3/7 + 39*r**2/7 - 57*r/7 - 99/7.
-3*(r - 11)*(r - 3)*(r + 1)/7
Factor 2*l**5/11 - 4*l**4/11 - 30*l**3/11 + 72*l**2/11.
2*l**2*(l - 3)**2*(l + 4)/11
Factor w**4/6 - 10*w**3/3 + 41*w**2/2 - 30*w - 54.
(w - 9)*(w - 6)**2*(w + 1)/6
Factor -2*k**2 - 164*k.
-2*k*(k + 82)
Factor -v**3/5 + 114*v**2/5 - 828*v + 46552/5.
-(v - 46)**2*(v - 22)/5
Determine r, given that -5*r**3/3 - 107*r**2 - 379*r/3 - 21 = 0.
-63, -1, -1/5
Factor -2*t**2/5 + 72/5.
-2*(t - 6)*(t + 6)/5
Determine d so that 2*d**5/25 + 6*d**4/25 - 2*d**3/25 - 22*d**2/25 - 24*d/25 - 8/25 = 0.
-2, -1, 2
Suppose 3*a**3 + 2346*a**2/7 + 9312*a - 2688 = 0. Calculate a.
-56, 2/7
Factor u**5/2 + 5*u**4/8 - 119*u**3/8 + 137*u**2/4 - 37*u/2 - 7.
(u - 2)**3*(u + 7)*(4*u + 1)/8
Factor m**2/5 - 6*m/5 + 1.
(m - 5)*(m - 1)/5
Solve -2*a**5/3 - 22*a**4/3 - 28*a**3/3 + 328*a**2/3 + 304*a + 192 = 0 for a.
-6, -2, -1, 4
Factor -3*q**2 - 99*q + 324.
-3*(q - 3)*(q + 36)
Factor 4*c**3/3 - 28*c**2 + 224*c/3 - 48.
4*(c - 18)*(c - 2)*(c - 1)/3
Let 2*m**4/17 + 460*m**3/17 + 27794*m**2/17 + 154560*m/17 + 225792/17 = 0. What is m?
-112, -3
Determine u so that -2*u**4/5 + 22*u**3/5 - 54*u**2/5 + 10*u - 16/5 = 0.
1, 8
Let 3*u**4/2 - 7*u**3 + 13*u**2/2 + 7*u - 8 = 0. Calculate u.
-1, 1, 2, 8/3
Factor -16*b**3 - 132*b**2 + 112*b + 36.
-4*(b - 1)*(b + 9)*(4*b + 1)
Factor -5*j**3/4 + 63*j**2/4 - 171*j/4 + 81/4.
-(j - 9)*(j - 3)*(5*j - 3)/4
Solve -2*i**2 + 8*i = 0.
0, 4
Let -2*x**5/5 - 2*x**4/5 + 26*x**3/5 + 10*x**2 + 24*x/5 = 0. Calculate x.
-3, -1, 0, 4
Factor -2*z**3/3 + 668*z**2/3 - 1328*z/3.
-2*z*(z - 332)*(z - 2)/3
Determine v so that -5*v**3 - 85*v**2 - 280*v - 260 = 0.
-13, -2
Factor 4*l**5 + 19*l**4 + 11*l**3 - 4*l**2.
l**2*(l + 1)*(l + 4)*(4*l - 1)
Solve -42*s**4 - 290*s**3 + 28*s**2 = 0.
-7, 0, 2/21
Factor -c**5 - 11*c**4 - 37*c**3 - 45*c**2 - 18*c.
-c*(c + 1)**2*(c + 3)*(c + 6)
Solve -3*k**5 - 52*k**4 - 63*k**3 + 18*k**2 + 32*k = 0.
-16, -1, 0, 2/3
Solve 4*t**3 + 160*t**2 - 1508*t + 1344 = 0.
-48, 1, 7
Solve -2*h**5 + 2*h**4 + 14*h**3 - 2*h**2 - 12*h = 0 for h.
-2, -1, 0, 1, 3
Factor 3*h**4 - 3*h**2.
3*h**2*(h - 1)*(h + 1)
Factor 4*g**5 + 12*g**4 - 124*g**3 + 260*g**2 - 216*g + 64.
4*(g - 2)*(g - 1)**3*(g + 8)
Factor b**4 + 17*b**3/2 + 27*b**2/2 - 9*b.
b*(b + 3)*(b + 6)*(2*b - 1)/2
Determine n so that -5*n**3 + 1290*n**2 - 110940*n + 3180280 = 0.
86
Determine z so that -4*z**3 - 1060*z**2 - 5176*z + 6240 = 0.
-260, -6, 1
Suppose -3*p**2 - 405*p = 0. Calculate p.
-135, 0
Factor -3*w**5 + 21*w**4 + 54*w**3 + 6*w**2 - 51*w - 27.
-3*(w - 9)*(w - 1)*(w + 1)**3
Factor -4*q**4 - 36*q**3 - 52*q**2 + 180*q + 200.
-4*(q - 2)*(q + 1)*(q + 5)**2
Find l, given that 4*l**2 + 20696*l + 26770276 = 0.
-2587
Factor 2*t**3/9 + 6*t**2 + 232*t/9 + 88/3.
2*(t + 2)*(t + 3)*(t + 22)/9
Factor 2*a**4/11 + 2*a**3/11 - 2*a**2/11 - 2*a/11.
2*a*(a - 1)*(a + 1)**2/11
Factor -2*y**2/7 + 692*y/7 - 59858/7.
-2*(y - 173)**2/7
Find y, given that 2*y**4/19 - 42*y**3/19 + 240*y**2/19 + 128*y/19 - 3072/19 = 0.
-3, 8
Find j, given that 2*j**4 + 48*j**3 + 238*j**2 = 0.
-17, -7, 0
Determine i so that -3*i**4/2 + 21*i**3 - 135*i**2/2 = 0.
0, 5, 9
Factor -2*h**4/3 - 8*h**3/3 + 32*h**2 - 224*h/3 + 160/3.
-2*(h - 2)**3*(h + 10)/3
Factor -s**2 + 68*s + 69.
-(s - 69)*(s + 1)
Find c, given that c**5/7 + c**4/7 - 3*c**3/7 - c**2/7 + 2*c/7 = 0.
-2, -1, 0, 1
Solve y**4/8 + 99*y**3/4 + 197*y**2/8 = 0.
-197, -1, 0
Let -4*f**4 - 2784*f**3 - 487192*f**2 - 966048*f - 481636 = 0. What is f?
-347, -1
Factor 3785*z**2 + 11365*z + 30.
5*(z + 3)*(757*z + 2)
Suppose 3*a**4/2 - 39*a**3 + 36*a**2 + 39*a - 75/2 = 0. What is a?
-1, 1, 25
Factor -z**4/5 - 83*z**3/5 + 258*z**2/5 - 4*z/5 - 344/5.
-(z - 2)**2*(z + 1)*(z + 86)/5
Factor -2*r**5/21 - 10*r**4/21 - 16*r**3/21 - 8*r**2/21.
-2*r**2*(r + 1)*(r + 2)**2/21
Determine n so that 3*n**3/5 - 333*n**2/5 + 8721*n/5 + 29241/5 = 0.
-3, 57
Solve 3*x**5/5 - 906*x**4/5 + 64683*x**3/5 + 112344*x**2 + 230640*x = 0.
-4, 0, 155
Factor 2*v**4 + 12*v**3 + 24*v**2 + 16*v.
2*v*(v + 2)**3
Solve -2*b**3/21 + 76*b**2/7 - 2888*b/7 + 109744/21 = 0 for b.
38
Factor i**3 + 41*i**2/6 + 13*i + 20/3.
(i + 2)*(i + 4)*(6*i + 5)/6
Let 15*n**5 + 21*n**4 - 159*n**3 - 201*n**2 + 216*n + 108 = 0. Calculate n.
-3, -2, -2/5, 1, 3
Suppose -4*v**5 - 704*v**4 - 676*v**3 + 4200*v**2 = 0. Calculate v.
-175, -3, 0, 2
Determine u so that u**3 + 16*u**2 + 71*u + 56 = 0.
-8, -7, -1
Factor 6*s**4/11 - 6*s**2/11.
6*s**2*(s - 1)*(s + 1)/11
Find y, given that -4*y**5/3 - 22*y**4/3 + 122*y**3/3 - 14*y**2 - 18*y = 0.
-9, -1/2, 0, 1, 3
Determine p so that 3*p**5/5 + 12*p**4/5 + 9*p**3/5 - 12*p**2/5 - 12*p/5 = 0.
-2, -1, 0, 1
Find c such that -2*c**4/5 - 18*c**3/5 - 52*c**2/5 - 48*c/5 = 0.
-4, -3, -2, 0
Determine g so that -5*g**2 + 50*g + 55 = 0.
-1, 11
Factor -c**5 - 109*c**4 - 3130*c**3 - 8746*c**2 - 8533*c - 2809.
-(c + 1)**3*(c + 53)**2
Determine o so that -12*o**2 - 761*o - 502 = 0.
-251/4, -2/3
Factor r**3/2 + 45*r**2 + 1200*r + 8000.
(r + 10)*(r + 40)**2/2
Find c, given that c**3 + 1194*c**2 + 4764*c + 4760 = 0.
-1190, -2
Suppose 3*h**5 - 1104*h**4 - 3336*h**3 - 1122*h**2 + 3333*h + 2226 = 0. Calculate h.
-2, -1, 1, 371
Factor -2*a**3/19 - 28*a**2/19 - 120*a/19 - 144/19.
-2*(a + 2)*(a + 6)**2/19
Find y such that y**5 - 2*y**4 - 8*y**3 - 2*y**2 + 7*y + 4 = 0.
-1, 1, 4
Find v, given that v**4/4 - 5*v**3/4 = 0.
0, 5
Determine l, given that 4*l**4 + 60*l**3 + 252*l**2 + 196*l = 0.
-7, -1, 0
Suppose 3*f**3 - 2502*f**2 + 695556*f - 64454856 = 0. What is f?
278
Suppose 6*m**5 + 38*m**4 + 78*m**3 + 58*m**2 + 12*m = 0. What is m?
-3, -2, -1, -1/3, 0
Determine y, given that -2*y**3/17 + 2*y**2/17 + 52*y/17 + 48/17 = 0.
-4, -1, 6
Suppose -2*o**2/21 - 236*o/21 - 304/7 = 0. What is o?
-114, -4
Factor 123*y**4 + 375*y**3 + 264*y**2 + 12*y.
3*y*(y + 1)*(y + 2)*(41*y + 2)
Solve 10*i**2/3 + 314*i/3 + 124/3 = 0.
-31, -2/5
Let 500*c**4 + 35400*c**3 - 42960*c**2 + 17248*