*(y + 13)
Determine i so that 2*i**2/7 + 192*i/7 - 800/7 = 0.
-100, 4
What is f in f**2/2 - 9/2 = 0?
-3, 3
Factor -2*g**2/3 + 28*g - 294.
-2*(g - 21)**2/3
Let 45*y**2 - 440*y = 0. Calculate y.
0, 88/9
Find c, given that -2*c**4/7 + 40*c**3/7 - 178*c**2/7 + 20*c = 0.
0, 1, 5, 14
Factor l**3 - 75*l**2 - l + 75.
(l - 75)*(l - 1)*(l + 1)
Determine t, given that 15*t**4 + 95*t**3 + 105*t**2 - 155*t - 60 = 0.
-4, -3, -1/3, 1
Solve 2*v**3/15 + 28*v**2/5 + 64*v + 320/3 = 0 for v.
-20, -2
Suppose 5*n**5 - 240*n**4 + 3220*n**3 - 8270*n**2 + 7815*n - 2530 = 0. What is n?
1, 22, 23
Find x, given that -5*x**2/8 - 17*x/8 - 3/2 = 0.
-12/5, -1
What is i in -3*i**3 + 24*i**2 + 33*i - 54 = 0?
-2, 1, 9
Solve 2*o**3/3 - 10*o**2 - 152*o/3 = 0.
-4, 0, 19
Factor -5*q**2 + 1445*q + 1450.
-5*(q - 290)*(q + 1)
Factor 3*o**3 + 60*o**2 + 351*o + 486.
3*(o + 2)*(o + 9)**2
Suppose 2*y**5/5 - 23*y**4/10 + 3*y**3 - 7*y**2/10 - 2*y/5 = 0. What is y?
-1/4, 0, 1, 4
Solve -3*m**2 - 678*m - 38307 = 0 for m.
-113
Solve -4*b**3 + 108*b**2 + 484*b + 372 = 0 for b.
-3, -1, 31
Let w**2/10 + 7*w/10 - 9/5 = 0. Calculate w.
-9, 2
Factor l**3/7 - 30*l**2/7 + 225*l/7.
l*(l - 15)**2/7
Factor -2*w**5 + 30*w**4 - 118*w**3 + 194*w**2 - 144*w + 40.
-2*(w - 10)*(w - 2)*(w - 1)**3
Factor 3*c**5 + 75*c**4 + 138*c**3 - 6*c**2 - 141*c - 69.
3*(c - 1)*(c + 1)**3*(c + 23)
Find d, given that -3*d**5 - 9*d**4 + 27*d**3 - 15*d**2 = 0.
-5, 0, 1
Determine d so that 2*d**4 + 3*d**3 - 3*d**2 - 2*d = 0.
-2, -1/2, 0, 1
Suppose -3*d**5/5 + 9*d**4/5 + 51*d**3/5 + 27*d**2/5 - 48*d/5 - 36/5 = 0. Calculate d.
-2, -1, 1, 6
Factor 27*p**3/5 - 168*p**2/5 + 171*p/5 - 6.
3*(p - 5)*(p - 1)*(9*p - 2)/5
Factor -a**4/2 - 23*a**3/2 + 25*a**2.
-a**2*(a - 2)*(a + 25)/2
Factor 23*g**3/4 - 35*g**2/2 - 89*g/4 + 1.
(g - 4)*(g + 1)*(23*g - 1)/4
Factor -5*f**3 + 35*f**2 + 120*f - 900.
-5*(f - 6)**2*(f + 5)
Factor 5*g**4 - 20*g**3 + 20*g**2.
5*g**2*(g - 2)**2
Find f, given that -7225*f**3 - 7565*f**2 - 344*f - 4 = 0.
-1, -2/85
Find j such that 2*j**2/3 - 3032*j/3 + 1149128/3 = 0.
758
Factor -108*f**4/5 + 1512*f**3/5 + 3312*f**2/5 + 2272*f/5 + 512/5.
-4*(f - 16)*(3*f + 2)**3/5
Solve -14*y**5/5 - 178*y**4/5 - 704*y**3/5 - 1072*y**2/5 - 416*y/5 + 224/5 = 0 for y.
-7, -2, 2/7
Solve -3*k**5 - 21*k**4 - 42*k**3 - 6*k**2 + 45*k + 27 = 0.
-3, -1, 1
Determine g, given that 5*g**5 - 175*g**4 + 2450*g**3 - 17150*g**2 + 60025*g - 84035 = 0.
7
Solve -7*h**3/4 - 11*h**2/4 - h/4 + 3/4 = 0.
-1, 3/7
Solve -28*h**5 + 48*h**4 + 201*h**3 - 493*h**2 + 264*h - 36 = 0.
-3, 3/14, 1/2, 2
Let -2*v**3/5 - 18*v**2 + 2*v/5 + 18 = 0. What is v?
-45, -1, 1
Find w such that -2*w**2/7 + 18*w/7 - 16/7 = 0.
1, 8
Determine k so that k**3 - 17*k**2 - 37*k - 19 = 0.
-1, 19
Solve -3*k**2 + 243*k - 2130 = 0 for k.
10, 71
Factor 3*j**3/2 - 45*j**2 - 93*j/2.
3*j*(j - 31)*(j + 1)/2
Factor 5*f**3 - 60*f**2 - 20*f + 240.
5*(f - 12)*(f - 2)*(f + 2)
Factor k**5 + 5*k**4 + 2*k**3 - 8*k**2.
k**2*(k - 1)*(k + 2)*(k + 4)
Factor 3*p**4/2 - 3*p**3/2.
3*p**3*(p - 1)/2
Let x**2/3 + 5*x/3 + 4/3 = 0. What is x?
-4, -1
Solve 9*t**2 - 15636*t + 5211 = 0 for t.
1/3, 1737
Determine c so that 70*c**5/11 + 1324*c**4/11 + 2164*c**3/11 - 2072*c**2/11 - 2234*c/11 + 68 = 0.
-17, -11/5, -1, 2/7, 1
Let 6*y**4 - 63*y**3 + 144*y**2 + 123*y - 90 = 0. Calculate y.
-1, 1/2, 5, 6
Factor 2*u**4 - 1700*u**3 + 5088*u**2 - 5084*u + 1694.
2*(u - 847)*(u - 1)**3
Solve 3*v**4/4 - v**3/2 - 11*v**2/4 + v/2 + 2 = 0.
-4/3, -1, 1, 2
Let -2*g**4/7 - 6*g**3/7 - 4*g**2/7 = 0. Calculate g.
-2, -1, 0
Factor 2*v**4/7 + 30*v**3/7 + 76*v**2/7 + 48*v/7.
2*v*(v + 1)*(v + 2)*(v + 12)/7
Factor -4*i**3 - 60*i**2 - 108*i - 52.
-4*(i + 1)**2*(i + 13)
Determine c, given that -2*c**2/9 - 64*c/9 + 32 = 0.
-36, 4
What is p in 14*p**4 + 18*p**3 - 24*p**2 - 8*p = 0?
-2, -2/7, 0, 1
Let 2*v**5/3 + 58*v**4 + 1344*v**3 + 3528*v**2 = 0. What is v?
-42, -3, 0
Let l**3/3 - 2*l**2/3 - 13*l - 24 = 0. Calculate l.
-3, 8
Solve -57*p**2/2 - 84*p - 54 = 0.
-2, -18/19
Suppose -2*a**2/3 - 6476*a/3 - 5242322/3 = 0. Calculate a.
-1619
Factor 2*o**4/5 + 12*o**3 + 166*o**2/5 + 108*o/5.
2*o*(o + 1)*(o + 2)*(o + 27)/5
Factor 4*i**2 + 96*i.
4*i*(i + 24)
Find w, given that -4*w**5 + 32*w**4 - 12*w**3 - 288*w**2 + 432*w = 0.
-3, 0, 2, 3, 6
Determine i, given that 3*i**4/2 - 24*i**2 = 0.
-4, 0, 4
Let -2*o**5/17 - 274*o**4/17 - 8966*o**3/17 + 28562*o**2/17 - 29120*o/17 + 9800/17 = 0. Calculate o.
-70, 1
Find y, given that -5*y**2/3 + 320*y/3 - 5120/3 = 0.
32
Factor c**5 - 89*c**4 + 2515*c**3 - 18631*c**2 - 107632*c - 119164.
(c - 31)**3*(c + 2)**2
Suppose -3*u**2/7 + 540*u - 170100 = 0. What is u?
630
Determine o so that 3*o**2 - 50268*o + 210572652 = 0.
8378
Let 5*s**2 + 9580*s + 4588820 = 0. Calculate s.
-958
Factor -2*z**2/9 + 76*z/3 - 722.
-2*(z - 57)**2/9
Suppose t**4/5 + 21*t**3/5 - 3*t**2/5 - 13*t - 42/5 = 0. What is t?
-21, -1, 2
Factor -6*w**2/5 + 4*w/3 - 2/15.
-2*(w - 1)*(9*w - 1)/15
What is p in -3*p**5 + 603*p**4 - 1194*p**3 = 0?
0, 2, 199
Factor 4*z**5 - 16*z**3 + 8*z**2 + 12*z - 8.
4*(z - 1)**3*(z + 1)*(z + 2)
Solve 189*x**4 - 1416*x**3 + 2079*x**2 + 1344*x + 180 = 0 for x.
-2/7, -2/9, 3, 5
Let -i**2/2 - 8*i + 161/2 = 0. Calculate i.
-23, 7
Factor 2*a**2/3 + 188*a/3 + 368/3.
2*(a + 2)*(a + 92)/3
What is x in -x**5/4 + 5*x**4 - 19*x**3 - 3*x**2/2 + 333*x/4 - 135/2 = 0?
-2, 1, 3, 15
Let -21*s**4/2 - 81*s**3 - 18*s**2 + 516*s - 144 = 0. What is s?
-6, -4, 2/7, 2
Find y such that y**2/4 + 23*y/2 - 24 = 0.
-48, 2
Find t, given that -6*t**3/5 - 42*t**2/5 - 36*t/5 = 0.
-6, -1, 0
Factor 3*z**3/4 + 21*z**2/2 + 195*z/4 + 75.
3*(z + 4)*(z + 5)**2/4
Let 5*j**4 + 1080*j**3 + 1050*j**2 - 5360*j + 3225 = 0. Calculate j.
-215, -3, 1
Factor o**4/2 + 3*o**3 + 6*o**2 + 4*o.
o*(o + 2)**3/2
Determine n so that -5*n**2 - 50*n - 125 = 0.
-5
Solve -5*i**2/4 - 15*i/4 - 5/2 = 0 for i.
-2, -1
Factor 5*a**3/3 - 70*a**2/3 + 265*a/3 - 200/3.
5*(a - 8)*(a - 5)*(a - 1)/3
Find p, given that -p**3/2 + 15*p**2 - 126*p + 196 = 0.
2, 14
Factor 5*x**4 - 115*x**3 + 310*x**2 - 200*x.
5*x*(x - 20)*(x - 2)*(x - 1)
Factor -3*v**5 - 36*v**4 + 81*v**3 - 42*v**2.
-3*v**2*(v - 1)**2*(v + 14)
Factor 4*p**4 - 8*p**3.
4*p**3*(p - 2)
Solve -2*q**2/5 - 12*q/5 - 16/5 = 0.
-4, -2
Suppose 2*v**3 + 178*v**2 - 548*v + 368 = 0. What is v?
-92, 1, 2
Factor -p**3 + 40*p**2 - 125*p - 6250.
-(p - 25)**2*(p + 10)
Factor f**2 - 2*f + 1.
(f - 1)**2
Factor -15*b**3 + 25*b**2 + 10*b.
-5*b*(b - 2)*(3*b + 1)
Factor -g**3/2 + 7*g**2/2 - 4*g - 8.
-(g - 4)**2*(g + 1)/2
Let -16*j**2/7 - 60*j/7 - 36/7 = 0. Calculate j.
-3, -3/4
Factor 3*f**4/5 + 33*f**3/5 + 81*f**2/5 + 15*f + 24/5.
3*(f + 1)**3*(f + 8)/5
Solve -2*p**2/3 - 44*p/3 - 48 = 0 for p.
-18, -4
Factor -u**5/4 + u**4/2 + 9*u**3/2 + 8*u**2 + 23*u/4 + 3/2.
-(u - 6)*(u + 1)**4/4
Factor -5*t**3 + 565*t**2 - 2155*t - 2725.
-5*(t - 109)*(t - 5)*(t + 1)
Factor -d**2/8 - 14*d + 177/2.
-(d - 6)*(d + 118)/8
Solve z**2 + z - 2 = 0.
-2, 1
Suppose -2*a**2 + 962*a + 1932 = 0. What is a?
-2, 483
Let 2*y**5/13 - 58*y**4/13 + 84*y**3/13 + 620*y**2/13 + 746*y/13 + 270/13 = 0. What is y?
-1, 5, 27
Find f such that -f**3/2 - 175*f**2/2 - 7743*f/2 - 7569/2 = 0.
-87, -1
What is j in -j**4/5 + 89*j**3/5 - 2103*j**2/5 + 5203*j/5 + 7396/5 = 0?
-1, 4, 43
Let 4*m**3 - 20*m**2 - 96*m = 0. Calculate m.
-3, 0, 8
Factor -4*c**2 + 344*c + 348.
-4*(c - 87)*(c + 1)
Factor 2*p**4 - 46*p**3 + 194*p**2 - 258*p + 108.
2*(p - 18)*(p - 3)*(p - 1)**2
Let -5*s**2 - 55*s = 0. What is s?
-11, 0
Factor 4*b**3 - 1372*b**2 + 119680*b - 346800.
4*(b - 170)**2*(b - 3)
Solve -4*d**5 - 28*d**4 + 48*d**3 + 112*d**2 - 128*d = 0 for d.
-8, -2, 0, 1, 2
Factor 4*d**2 - 156*d + 560.
4*(d - 35)*(d - 4)
Determine b so that 2*b**2 - 1338*b + 3996 = 0.
3, 666
Solve q**3/8 + 3*q**2/8 - 1/2 = 0 for q.
-2, 1
Factor y**2 + 105*y - 106.
(y - 1)*(y + 106)
Find y such that y**4/5 - 2*y**3/5 - 4*y**2/5 + 2*y/5 + 3/5 = 0.
-1, 1, 3
Solve 4*w**4/3 - 313*w**3 + 543*w**2 + 466*w/3 = 0.
-1/4, 0, 2, 233
Factor 2*h**4/3 + 4*h**3/3 - 10*h**2/3 - 4*h.
2*h*(h - 2)*(h + 1)*(h + 3)/3
Let -l**5 + 29*l**4 - 304*l**3 + 1400*l**2 - 2800*l + 2000 = 0. What is l?
2, 5, 10
Factor -2*c**3/5 - 82*c**2/5 - 798*c/5 + 882/5.
-2*(c - 1)*(c + 21)**2/5
Let 3*k**3 - 723*k**2 - 12*k + 2892 = 0. Calculate k.
-2, 2, 241
Solve -4*q**5 + 172*q**4 - 2956*q**3 + 25