tor -2*d**3/7 + 676*d**2/7.
-2*d**2*(d - 338)/7
What is j in -5*j**5 + 1405*j**4 - 15030*j**3 + 48680*j**2 - 21280*j - 86400 = 0?
-1, 4, 270
Determine w so that w**5/7 + 15*w**4/7 + 83*w**3/7 + 205*w**2/7 + 216*w/7 + 80/7 = 0.
-5, -4, -1
Find h, given that -6*h**5 + 1683*h**4 - 158187*h**3 + 5057991*h**2 - 7083531*h - 4826142 = 0.
-1/2, 2, 93
Solve 2*g**5/5 - 26*g**4/5 + 22*g**3 - 206*g**2/5 + 176*g/5 - 56/5 = 0 for g.
1, 2, 7
Factor -5*s**5 - 140*s**4 - 1200*s**3 - 2000*s**2 + 10000*s.
-5*s*(s - 2)*(s + 10)**3
Solve -3*u**3 - 141*u**2 + 927*u - 1431 = 0 for u.
-53, 3
Factor 2*f**4/7 + 16*f**3/7 + 30*f**2/7 - 8*f/7 - 40/7.
2*(f - 1)*(f + 2)**2*(f + 5)/7
Determine a so that -4*a**4 - 44*a**3 - 36*a**2 + 44*a + 40 = 0.
-10, -1, 1
Factor -d**3/2 - 75*d**2.
-d**2*(d + 150)/2
Let -4*d**4 + 4*d**3 + 148*d**2 + 140*d = 0. Calculate d.
-5, -1, 0, 7
Factor -m**4/9 - 8*m**3/3 + 260*m**2/3 + 18928*m/9.
-m*(m - 28)*(m + 26)**2/9
Suppose 4*d**2 + 512*d + 3840 = 0. Calculate d.
-120, -8
Let -3*t**4 - 90*t**3 - 675*t**2 = 0. What is t?
-15, 0
Solve 117*i**3/7 - 813*i**2/7 + 660*i/7 + 36/7 = 0.
-2/39, 1, 6
Factor -5*t**2 - 695*t + 2860.
-5*(t - 4)*(t + 143)
Factor -3*p**2/7 - 4647*p/7 + 4650/7.
-3*(p - 1)*(p + 1550)/7
Find l such that -3*l**4/8 - 15*l**3/2 + 519*l**2/8 - 315*l/2 + 243/2 = 0.
-27, 2, 3
Factor 15*w**2 - 4600*w + 3060.
5*(w - 306)*(3*w - 2)
Let -2*j**5/7 - 4*j**4/7 + 8*j**3/7 + 4*j**2/7 - 6*j/7 = 0. What is j?
-3, -1, 0, 1
Solve -5*z**3 + 915*z**2 - 38475*z - 315875 = 0.
-7, 95
Factor -4*d**3 + 460*d**2 - 12000*d - 72000.
-4*(d - 60)**2*(d + 5)
Find m such that -3*m**5/2 + 15*m**3 - 27*m/2 = 0.
-3, -1, 0, 1, 3
Solve -5*f**3 - 2340*f**2 + 4695*f - 2350 = 0 for f.
-470, 1
Factor -3*s**4/5 + 3*s**3 - 21*s**2/5 + 9*s/5.
-3*s*(s - 3)*(s - 1)**2/5
Factor 4*a**2/7 + 8*a/7 - 32/7.
4*(a - 2)*(a + 4)/7
Suppose -4*m**3 + 2904*m**2 - 529968*m + 1048352 = 0. What is m?
2, 362
Find t, given that -2*t**5 - 14*t**4 + 54*t**3 - 58*t**2 + 20*t = 0.
-10, 0, 1
Let 2*k**4 - 264*k**3 - 1656*k**2 = 0. What is k?
-6, 0, 138
Factor 2*k**3/3 - 2*k**2/3 - 20*k + 48.
2*(k - 4)*(k - 3)*(k + 6)/3
Determine m so that -57*m**4/10 - 56*m**3/5 + 289*m**2/10 + 166*m/5 - 6/5 = 0.
-3, -1, 2/57, 2
Factor -r**3/4 + 225*r**2/2 - 16875*r + 843750.
-(r - 150)**3/4
Let -7*x**5/2 - 159*x**4/2 - 670*x**3 - 2448*x**2 - 3024*x + 1080 = 0. Calculate x.
-6, -5, 2/7
Factor 3*y**4 - 26*y**3 + 15*y**2 + 8*y.
y*(y - 8)*(y - 1)*(3*y + 1)
Factor 4*l**3 + 88*l**2 - 404*l + 312.
4*(l - 3)*(l - 1)*(l + 26)
Factor 4*b**4/5 - 37*b**3/5 + 21*b**2 - 88*b/5 + 16/5.
(b - 4)**2*(b - 1)*(4*b - 1)/5
Suppose -3*y**4 - 3*y**3 + 3*y**2 + 3*y = 0. What is y?
-1, 0, 1
Factor 5*u**2 - 335*u + 330.
5*(u - 66)*(u - 1)
Factor -2*g**2 + 502*g - 4820.
-2*(g - 241)*(g - 10)
Factor -10*h**3 + 445*h**2 - 645*h.
-5*h*(h - 43)*(2*h - 3)
Find n, given that 4*n**2 - 128*n - 132 = 0.
-1, 33
Find s, given that 6*s**3 - 968*s**2/3 + 552*s + 416/3 = 0.
-2/9, 2, 52
Factor -5*u**2 - 320*u - 1475.
-5*(u + 5)*(u + 59)
Let -5*i**2 - 15*i - 10 = 0. Calculate i.
-2, -1
Factor -c**2/3 - 4268*c/3 - 4553956/3.
-(c + 2134)**2/3
Factor -4*r**3/3 + 12*r**2 + 4*r/3 - 12.
-4*(r - 9)*(r - 1)*(r + 1)/3
Factor -n**2/2 + 2183*n - 4765489/2.
-(n - 2183)**2/2
Let -3*w**3/7 - 2094*w**2/7 - 2085*w/7 + 4182/7 = 0. What is w?
-697, -2, 1
Factor 20*b**3 + 185*b**2 - 245*b - 410.
5*(b - 2)*(b + 1)*(4*b + 41)
Determine n, given that 12*n**2 - 112*n - 80 = 0.
-2/3, 10
Factor -9*a**4/4 + 195*a**3/8 - 59*a**2/2 + 19*a/2.
-a*(2*a - 19)*(3*a - 2)**2/8
Find f, given that -81*f**5/4 + 243*f**4/4 + 27*f**3/2 - 69*f**2/2 - 69*f/4 - 9/4 = 0.
-1/3, 1, 3
Factor x**3/8 + x**2/2 + 5*x/8 + 1/4.
(x + 1)**2*(x + 2)/8
Find q, given that 5*q**3 - 12615*q**2 + 10609215*q - 2974116605 = 0.
841
What is l in l**2/4 - 17*l/4 + 4 = 0?
1, 16
Factor -j**3/10 - 12*j**2/5 - 96*j/5 - 256/5.
-(j + 8)**3/10
Find p, given that -p**2/4 + 5*p/2 - 21/4 = 0.
3, 7
Factor s**2 + 3*s.
s*(s + 3)
Suppose -3*t**2 + 42*t = 0. What is t?
0, 14
Solve 4*i**4 - 4*i**3 - 20*i**2 - 12*i = 0 for i.
-1, 0, 3
Suppose v**2/4 + v/2 - 15/4 = 0. Calculate v.
-5, 3
Factor -4*d**3 + 420*d**2 - 2396*d + 1980.
-4*(d - 99)*(d - 5)*(d - 1)
Let -5*l**4/2 + 197*l**3/2 - 1353*l**2/2 + 1595*l/2 - 217 = 0. Calculate l.
2/5, 1, 7, 31
Factor -3*g**2/4 + 603*g/4 - 150.
-3*(g - 200)*(g - 1)/4
Factor 2*h**3/9 + 16*h**2/9 + 10*h/3.
2*h*(h + 3)*(h + 5)/9
Factor 3*c**3/2 + 2691*c**2/4 + 75600*c + 37632.
3*(c + 224)**2*(2*c + 1)/4
Suppose 2*u**5/3 - 10*u**4/9 - 10*u**3/9 + 10*u**2/9 + 4*u/9 = 0. What is u?
-1, -1/3, 0, 1, 2
Factor -f**5 + 26*f**4 - 252*f**3 + 1134*f**2 - 2403*f + 1944.
-(f - 9)*(f - 8)*(f - 3)**3
Factor -4*h**4/7 - 23*h**3/7 + 9*h**2/7 + 18*h/7.
-h*(h - 1)*(h + 6)*(4*h + 3)/7
Find o, given that 2*o**2/5 + 804*o/5 + 80802/5 = 0.
-201
Find x, given that 27*x**2/4 - 141*x/4 + 45 = 0.
20/9, 3
Factor -49*g**3 + 51*g**2 - 2*g.
-g*(g - 1)*(49*g - 2)
Let 7*u**4/2 - 51*u**3 + 399*u**2/2 - 98*u = 0. Calculate u.
0, 4/7, 7
Suppose -2*m**5/11 + 4*m**4/11 + 14*m**3/11 - 16*m**2/11 - 24*m/11 = 0. Calculate m.
-2, -1, 0, 2, 3
Determine l so that -l**5 - 14*l**4 + 53*l**3 + 22*l**2 - 196*l + 136 = 0.
-17, -2, 1, 2
Factor -128*q**2/7 - 48*q/7 + 20/7.
-4*(4*q - 1)*(8*q + 5)/7
Factor -2*i**4 - 22*i**3 + 2*i**2 + 22*i.
-2*i*(i - 1)*(i + 1)*(i + 11)
Determine u so that -42*u**3 - 1256*u**2 - 9330*u + 900 = 0.
-15, 2/21
What is z in 20*z**5 + 152*z**4 - 924*z**3 + 1504*z**2 - 944*z + 192 = 0?
-12, 2/5, 1, 2
Suppose 3*b**2 - 104*b/3 + 256/3 = 0. Calculate b.
32/9, 8
Determine y, given that -y**2 + 246*y - 15129 = 0.
123
Factor m**4 - 13*m**3 - 30*m**2.
m**2*(m - 15)*(m + 2)
Factor -2*k**2/7 - 4448*k/7 - 2473088/7.
-2*(k + 1112)**2/7
Determine v so that 4*v**2/9 + 40*v/9 + 4 = 0.
-9, -1
Factor -d**3/2 + 51*d**2/2 + 105*d/2 + 53/2.
-(d - 53)*(d + 1)**2/2
Factor 2*n**4 - 153*n**3 + 3110*n**2 - 6993*n + 2738.
(n - 37)**2*(n - 2)*(2*n - 1)
Suppose -2*g**4 - 23*g**3/2 - 4*g**2 + 35*g/2 = 0. What is g?
-5, -7/4, 0, 1
Factor b**4/4 + b**3/4.
b**3*(b + 1)/4
Determine o, given that 3*o**3 - 333*o**2 + 9072*o + 9408 = 0.
-1, 56
Solve -4*l**4 + 2479*l**3 + 5592*l**2 + 3731*l + 622 = 0.
-1, -1/4, 622
Find c such that -4*c**3 + 224*c**2 + 228*c = 0.
-1, 0, 57
Factor -2*y**2/11 - 74*y/11.
-2*y*(y + 37)/11
Factor 3*z**2 - 5970*z + 2970075.
3*(z - 995)**2
Factor c**2/2 + 750*c + 281250.
(c + 750)**2/2
Factor 5*s**2 + 13590*s + 9234405.
5*(s + 1359)**2
Factor 3*a**2 - 225*a - 462.
3*(a - 77)*(a + 2)
Suppose -2*f**3/5 + 12*f**2 - 166*f/5 + 108/5 = 0. Calculate f.
1, 2, 27
What is a in -2*a**2 + 4*a + 48 = 0?
-4, 6
Factor f**4/6 + 2*f**3/3 - 41*f**2/3 - 182*f/3 + 147/2.
(f - 9)*(f - 1)*(f + 7)**2/6
Factor 3*p**2/2 + 1606*p - 1071/2.
(p + 1071)*(3*p - 1)/2
Factor -2*r**3/3 - 142*r**2/3 + 148*r/3 + 96.
-2*(r - 2)*(r + 1)*(r + 72)/3
Factor -3*l**3/2 + 159*l**2/2 + 327*l/2 + 165/2.
-3*(l - 55)*(l + 1)**2/2
Solve -n**5/8 + 41*n**4/8 - 499*n**3/8 + 855*n**2/8 + 1350*n + 3375/2 = 0.
-2, 15
Factor 4*q**2 + 1488*q + 138384.
4*(q + 186)**2
Factor -v**4/4 + 95*v**3/4 + 393*v**2/4 + 297*v/4.
-v*(v - 99)*(v + 1)*(v + 3)/4
Determine f so that -1302*f**4/5 + 591*f**3 - 696*f**2/5 - 12*f/5 = 0.
-1/62, 0, 2/7, 2
Let k**3/3 + 19*k**2/3 + 31*k/3 - 17 = 0. What is k?
-17, -3, 1
Determine z, given that 2*z**2 - 998*z - 2004 = 0.
-2, 501
What is f in f**3/5 + 328*f**2/5 = 0?
-328, 0
Factor -8*t**3 - 12*t**2 + 288*t - 140.
-4*(t - 5)*(t + 7)*(2*t - 1)
Determine o, given that -o**3/3 + 22*o**2/3 - 25*o/3 - 100 = 0.
-3, 5, 20
Suppose 2*z**3 - 544*z**2 + 38056*z - 143648 = 0. What is z?
4, 134
Let 2*i**5/15 - 26*i**4/15 + 106*i**3/15 - 166*i**2/15 + 28*i/5 = 0. Calculate i.
0, 1, 2, 3, 7
Find a, given that 4*a**3/5 + 8*a**2/5 - 28*a/5 + 16/5 = 0.
-4, 1
What is s in s**4 - 7*s**3 - 87*s**2 - 149*s - 70 = 0?
-5, -1, 14
Suppose 4*x**2 + 376*x = 0. Calculate x.
-94, 0
Solve -2*m**5 - 8*m**4 - 2*m**3 + 28*m**2 + 40*m + 16 = 0.
-2, -1, 2
Factor z**4/8 - z**3/4 - 3*z**2/8.
z**2*(z - 3)*(z + 1)/8
Determine b, given that 3*b**4 + 1065*b**3 + 1062*b**2 = 0.
-354, -1, 0
Solve 2*y**5/9 - 16*y**4/3 + 94*y**3/3 + 148*y**2/9 - 320*y/3 + 64 = 0 for y.
-2, 1, 12
Determine p so that -p**4/4 - 21*p**3/4 - 14*p**2 - 9*p = 0.
-18, -2, -1, 0
Solve 5*y**3 - 7*y**2 - 98*y + 40 = 0.
-4, 2/5, 5
Factor -p**3