
v**2*(v + 20)/4
Suppose 10*n**2/7 + 1324*n/7 + 528/7 = 0. Calculate n.
-132, -2/5
Factor d**3/4 - 3*d**2/2 + 2*d.
d*(d - 4)*(d - 2)/4
Suppose 2*u**3/7 + 20*u**2/7 - 8*u/7 - 80/7 = 0. What is u?
-10, -2, 2
Suppose 4*h**4 - 68*h**3 - 316*h**2 - 412*h - 168 = 0. Calculate h.
-2, -1, 21
Factor 3*l**5/7 + 12*l**4 + 666*l**3/7 + 156*l**2 + 507*l/7.
3*l*(l + 1)**2*(l + 13)**2/7
Factor l**3/4 - 289*l**2/4 + 566*l - 1124.
(l - 281)*(l - 4)**2/4
Factor m**2/2 + 125*m/2 - 63.
(m - 1)*(m + 126)/2
Factor -h**2/4 - h/2 - 1/4.
-(h + 1)**2/4
What is u in u**3/2 - 155*u**2 + 24025*u/2 = 0?
0, 155
Determine w, given that -2*w**3/7 + 278*w**2/7 - 1360*w - 1400 = 0.
-1, 70
Factor 5*j**3 + 40*j**2 + 75*j.
5*j*(j + 3)*(j + 5)
Factor 2*r**2/7 - 18*r/7 - 72/7.
2*(r - 12)*(r + 3)/7
Find h, given that 2*h**4 - 18*h**3 + 30*h**2 - 14*h = 0.
0, 1, 7
Find v such that 5*v**5 - 100*v**4/3 + 65*v**3 - 10*v**2 - 220*v/3 + 40 = 0.
-1, 2/3, 2, 3
Solve 5*n**5/3 - 20*n**4/3 - 35*n**3 + 500*n**2/3 - 500*n/3 = 0 for n.
-5, 0, 2, 5
Let -2*l**4 + 30*l**3 + 6*l**2 - 94*l + 60 = 0. What is l?
-2, 1, 15
Factor -a**2/4 + 79*a/4 + 81/2.
-(a - 81)*(a + 2)/4
Find n such that n**2/8 + 17*n/8 + 21/4 = 0.
-14, -3
Factor 2*i**2/5 + 1672*i/5 + 349448/5.
2*(i + 418)**2/5
Let -3*g**5 - 3*g**4 + 27*g**3 + 3*g**2 - 60*g + 36 = 0. What is g?
-3, -2, 1, 2
Let -14*s**4 - 38*s**3 + 26*s**2 + 38*s - 12 = 0. Calculate s.
-3, -1, 2/7, 1
Factor r**5/4 + 5*r**4/4 + 3*r**3/2 - r**2 - 2*r.
r*(r - 1)*(r + 2)**3/4
Factor 4*y**4 - 8*y**3 - 12*y**2 + 32*y - 16.
4*(y - 2)*(y - 1)**2*(y + 2)
Factor 3*l**3 + 60*l**2 - 276*l + 288.
3*(l - 2)**2*(l + 24)
Factor 2*p**2 + 26*p.
2*p*(p + 13)
Let -5*h**3/2 - 30*h**2 - 55*h/2 = 0. What is h?
-11, -1, 0
Factor 5*m**2 - 33720*m + 56851920.
5*(m - 3372)**2
Factor y**2/6 - 6*y + 203/6.
(y - 29)*(y - 7)/6
Determine h so that 2*h**4/5 - 284*h**3/5 - 174*h**2 - 8*h/5 + 232 = 0.
-2, 1, 145
Factor z**3/2 + 89*z**2 + 353*z/2 + 88.
(z + 1)**2*(z + 176)/2
Determine m so that 4*m**2 - 864*m + 46656 = 0.
108
Let -3*n**2 + 282*n - 1827 = 0. Calculate n.
7, 87
Factor 5*l**2/9 + 59*l/9 - 4/3.
(l + 12)*(5*l - 1)/9
Factor -a**4/5 - 4*a**3 - 117*a**2/5 - 14*a + 784/5.
-(a - 2)*(a + 7)**2*(a + 8)/5
What is h in h**4 - 5*h**3 + 2*h**2 + 20*h - 24 = 0?
-2, 2, 3
Factor 4*z**2 - 32*z - 132.
4*(z - 11)*(z + 3)
Find v such that 4*v**3 + 96*v**2 + 660*v + 968 = 0.
-11, -2
Determine f, given that -2*f**5/9 + 80*f**4/9 - 48*f**3 + 836*f**2/9 - 686*f/9 + 68/3 = 0.
1, 3, 34
Solve -3*v**2/2 - 75*v/2 - 36 = 0.
-24, -1
What is y in -y**3 - 12*y**2 - 9*y + 22 = 0?
-11, -2, 1
Suppose -3*l**2 - 3231*l + 3234 = 0. What is l?
-1078, 1
Let -3*y**2/8 + 189*y/4 - 2499/8 = 0. Calculate y.
7, 119
Suppose 44*m**3 + 356*m**2 + 776*m + 480 = 0. Calculate m.
-5, -2, -12/11
Suppose -2*x**3/19 - 34*x**2/19 - 8*x - 120/19 = 0. Calculate x.
-10, -6, -1
Solve -5*f**4 - 25*f**3 - 35*f**2 - 15*f = 0.
-3, -1, 0
Factor y**5 + 39*y**4 + 360*y**3 - 400*y**2.
y**2*(y - 1)*(y + 20)**2
Solve -3*x**5/7 + 75*x**4/7 + 3*x**3/7 - 75*x**2/7 = 0 for x.
-1, 0, 1, 25
Factor 35*d**2 - 55*d + 20.
5*(d - 1)*(7*d - 4)
Find o, given that 10*o**4/13 + 66*o**3/13 + 122*o**2/13 + 30*o/13 - 36/13 = 0.
-3, -1, 2/5
Factor -4*k**3/5 + 152*k**2 + 2332*k/5 - 3088/5.
-4*(k - 193)*(k - 1)*(k + 4)/5
Factor -w**5 + w**4 + 21*w**3 + 47*w**2 + 40*w + 12.
-(w - 6)*(w + 1)**3*(w + 2)
Find u such that -3*u**4 - 33*u**3 + 90*u**2 + 132*u - 312 = 0.
-13, -2, 2
Determine j, given that 4*j**3 - 156*j**2 + 296*j = 0.
0, 2, 37
Factor 4*u**3 + 52*u**2 - 4*u - 52.
4*(u - 1)*(u + 1)*(u + 13)
Suppose 3*m**3/5 + 12*m**2/5 - 33*m/5 + 18/5 = 0. What is m?
-6, 1
Let -2*d**3/13 - 86*d**2/13 - 80*d - 2400/13 = 0. Calculate d.
-20, -3
Factor 2*h**2/3 - 192*h + 574/3.
2*(h - 287)*(h - 1)/3
Factor 5*b**2 - 2440*b + 297680.
5*(b - 244)**2
Factor 2*p**2 + 474*p + 472.
2*(p + 1)*(p + 236)
Let -2*c**2 + 18*c = 0. What is c?
0, 9
Factor 2*g**2 - 148*g - 150.
2*(g - 75)*(g + 1)
What is h in -3*h**2 + 111*h - 480 = 0?
5, 32
Determine o, given that 5*o**2 - 135*o + 250 = 0.
2, 25
Solve 2*i**3/7 + 16*i**2/7 - 130*i/7 - 144 = 0.
-9, -7, 8
Solve -y**3 - 7*y**2 + 98*y = 0.
-14, 0, 7
Factor -3*l**2/4 - 483*l/2 - 77763/4.
-3*(l + 161)**2/4
Solve l**5/5 + 8*l**4/5 + 17*l**3/5 + 2*l**2 = 0.
-5, -2, -1, 0
Determine h, given that -h**3/3 + h**2 + 8*h + 28/3 = 0.
-2, 7
Factor 2*t**4/15 + 32*t**3/15 + 8*t**2.
2*t**2*(t + 6)*(t + 10)/15
Solve c**3/2 - 6*c**2 - 91*c/2 + 51 = 0 for c.
-6, 1, 17
Find q such that -63*q**5/4 - 645*q**4 - 22047*q**3/4 + 46389*q**2/2 - 561*q - 2178 = 0.
-22, -2/7, 1/3, 3
Factor 14*j**2 - 30*j + 4.
2*(j - 2)*(7*j - 1)
Suppose z**3 + 1433*z**2 + 514088*z + 512656 = 0. Calculate z.
-716, -1
Find s such that 8*s**5/5 + 18*s**4 + 166*s**3/5 + 36*s**2/5 = 0.
-9, -2, -1/4, 0
Determine k, given that -k**5/7 + 43*k**4/7 - 290*k**3/7 - 3634*k**2/7 - 1275*k - 5625/7 = 0.
-3, -1, 25
Factor -2*j**2/9 - 158*j/9 - 52/3.
-2*(j + 1)*(j + 78)/9
Factor 3*m**3 + 15*m**2 - 24*m - 36.
3*(m - 2)*(m + 1)*(m + 6)
Find q such that -144*q**5 + 600*q**4 + 447*q**3 - 3351*q**2 + 1557*q - 189 = 0.
-7/3, 1/4, 3
Factor 2*n**2/5 - 116*n/5 + 234.
2*(n - 45)*(n - 13)/5
Solve 4*d**5/9 - 40*d**4/9 - 68*d**3/3 - 272*d**2/9 - 112*d/9 = 0 for d.
-2, -1, 0, 14
Suppose 16*r**5 - 148*r**4 + 148*r**3 + 116*r**2 - 164*r + 32 = 0. What is r?
-1, 1/4, 1, 8
Suppose -4*r**4 + 140*r**3 + 296*r**2 = 0. Calculate r.
-2, 0, 37
Factor 140*c**3 + 415*c**2 - 25*c - 30.
5*(c + 3)*(4*c + 1)*(7*c - 2)
Determine j so that -2*j**5/9 + 2368*j**4/9 - 693794*j**3/9 - 4219756*j**2/9 - 8477560*j/9 - 5664400/9 = 0.
-2, 595
Solve -4*r**2 - 284*r = 0.
-71, 0
Factor 4*l**2 - 8504*l + 4519876.
4*(l - 1063)**2
Factor 4*n**4 - 344*n**3 + 7044*n**2 + 15136*n + 7744.
4*(n - 44)**2*(n + 1)**2
Determine a, given that -4*a**5 - 56*a**4 - 152*a**3 + 128*a**2 + 444*a - 360 = 0.
-10, -3, 1
What is a in 21*a**5 - 48*a**4 - 9*a**3 + 48*a**2 - 12*a = 0?
-1, 0, 2/7, 1, 2
What is w in w**3 - 611*w**2 = 0?
0, 611
Factor 15*v**2/4 - 7011*v/4 + 1401/2.
3*(v - 467)*(5*v - 2)/4
Suppose 26*g**4 - 46*g**3 - 90*g**2 - 18*g = 0. What is g?
-1, -3/13, 0, 3
What is n in 2*n**3/9 - 1828*n**2/9 + 7280*n/9 = 0?
0, 4, 910
Factor m**2 - 2*m + 1.
(m - 1)**2
Factor -4*u**2/9 + 200*u/3 - 2500.
-4*(u - 75)**2/9
Determine d so that -5*d**2 - 1225*d = 0.
-245, 0
Factor 2*h**2/3 - 450*h + 1348/3.
2*(h - 674)*(h - 1)/3
Factor 3*q**4/5 + 6*q**3/5 - 3*q**2/5 - 6*q/5.
3*q*(q - 1)*(q + 1)*(q + 2)/5
Factor -3*j**3/7 - 381*j**2/7 + 1563*j/7 - 1179/7.
-3*(j - 3)*(j - 1)*(j + 131)/7
What is k in -100*k**2/3 - 5108*k/3 - 136 = 0?
-51, -2/25
What is k in 50*k**4/9 + 90*k**3 + 476*k**2/3 - 1544*k/9 + 112/3 = 0?
-14, -3, 2/5
Factor q**4 + 110*q**3 + 108*q**2 - 110*q - 109.
(q - 1)*(q + 1)**2*(q + 109)
Suppose -10*a**4 + 104*a**3 + 190*a**2 + 28*a - 48 = 0. Calculate a.
-1, 2/5, 12
Let -680*g**3 - 8588*g**2/7 + 1868*g/7 + 8/7 = 0. What is g?
-2, -1/238, 1/5
Solve -5488*a**4 + 24892*a**3 - 12285*a**2 + 8525*a/4 - 125 = 0 for a.
5/28, 4
What is i in -80*i**4 - 760*i**3 - 1605*i**2 + 950*i - 125 = 0?
-5, 1/4
Factor -c**4/2 + 9*c**3/2 - 7*c**2.
-c**2*(c - 7)*(c - 2)/2
Suppose -3*v**2/2 - 21*v/2 - 9 = 0. Calculate v.
-6, -1
Factor -2*c**3/3 + 56*c**2/3 + 2*c/3 - 56/3.
-2*(c - 28)*(c - 1)*(c + 1)/3
Factor -4*a**3 - 60*a**2 + 132*a + 3388.
-4*(a - 7)*(a + 11)**2
Let -3*f**3/5 - 204*f**2/5 - 201*f/5 = 0. What is f?
-67, -1, 0
Solve 2*p**5 + 20*p**4 + 60*p**3 - 270*p - 324 = 0 for p.
-3, 2
Solve 6*y**3/5 + 12*y**2/5 - 24*y/5 - 48/5 = 0.
-2, 2
Solve 5*q**4 - 80*q**3 + 125*q**2 + 210*q = 0 for q.
-1, 0, 3, 14
Solve 7*l**3/6 - 89*l**2 + 1084*l/3 - 96 = 0.
2/7, 4, 72
Determine j, given that -30*j**4/7 - 23*j**3 + 591*j**2/7 - 46*j + 48/7 = 0.
-8, 3/10, 1/3, 2
Factor 3*l**5/2 + 15*l**4 + 24*l**3 - 3*l**2 - 51*l/2 - 12.
3*(l - 1)*(l + 1)**3*(l + 8)/2
Let 12*f**5 - 4104*f**4 + 12243*f**3 - 13239*f**2 + 6105*f - 1017 = 0. What is f?
1/2, 1, 339
Factor f**5 - 18*f**4 + 78*f**3 + 56*f**2 - 279*f + 162.
(f - 9)**2*(f - 1)**2*(f + 2)
Suppose y**2/6 + 461*y/6 - 77 = 0. Calculate y.
-462, 1
Factor -2*a**3 - 6*a**2 - 4*a.
-2*a*(a + 1)*(a + 2)
Factor 3*i**2 + 18*i + 15.
3*(i + 1)*(i + 5)
Factor -d**3/3 + 17*d**2 - 240*d + 576.
-(d - 24)**2*(d - 3)/3
Determine s, given that -2*s**2/7 + 252*s = 0.
0, 882
Find a such tha