, 0, 1
Factor 4*t**3 - 56*t**2 - 4*t + 56.
4*(t - 14)*(t - 1)*(t + 1)
Find k, given that 13*k**2/2 + 583*k/2 - 45 = 0.
-45, 2/13
Find v, given that 3*v**2 + 42*v - 528 = 0.
-22, 8
Determine r, given that r**4/6 + 19*r**3/6 - 47*r**2/2 + 75*r/2 = 0.
-25, 0, 3
Factor -2*i**3 + 720*i**2 - 64800*i.
-2*i*(i - 180)**2
Factor 2401*w**4 - 2597*w**3 + 200*w**2 - 4*w.
w*(w - 1)*(49*w - 2)**2
Factor -3*p**3 - 27*p**2 - 18*p + 48.
-3*(p - 1)*(p + 2)*(p + 8)
Let 5*k**2 - 420*k + 8320 = 0. What is k?
32, 52
Factor -l**2/2 + 15*l + 252.
-(l - 42)*(l + 12)/2
Factor 2*v**2/3 - 68*v/3 + 128/3.
2*(v - 32)*(v - 2)/3
Factor 5*i**3 + 255*i**2 + 960*i + 940.
5*(i + 2)**2*(i + 47)
Factor 2*a**4/7 + 22*a**3/7 + 10*a**2 + 50*a/7.
2*a*(a + 1)*(a + 5)**2/7
Factor -2*c**2 + 6*c + 20.
-2*(c - 5)*(c + 2)
Solve 2*r**5/5 + 18*r**4/5 + 4*r**3 - 12*r**2 - 22*r/5 + 42/5 = 0.
-7, -3, -1, 1
Factor 4*n**3/3 - 2386*n**2 + 1069224*n - 1598472.
2*(n - 894)**2*(2*n - 3)/3
Suppose -d**3/2 - 23*d**2/2 - 68*d - 120 = 0. What is d?
-15, -4
Factor 2*h**4 - 4*h**3 - 240*h**2 + 1700*h - 3250.
2*(h - 5)**3*(h + 13)
Let 4*j**2 - 32*j + 60 = 0. What is j?
3, 5
What is v in -3*v**2 + 14964*v - 18660108 = 0?
2494
Factor 4*z**2 - 1812*z.
4*z*(z - 453)
Factor -2*a**2 - 110*a - 828.
-2*(a + 9)*(a + 46)
Find j, given that 2*j**3 + 40*j**2 - 46*j - 84 = 0.
-21, -1, 2
Factor 4*z**4 - 784*z**3 + 38416*z**2.
4*z**2*(z - 98)**2
Let -21*d**5/2 + 3*d**4 + 21*d**3 - 6*d**2 - 21*d/2 + 3 = 0. Calculate d.
-1, 2/7, 1
Solve 2*y**2/9 + 2008*y/9 + 504008/9 = 0.
-502
Factor 2*w**3 - 20*w**2 + 34*w - 16.
2*(w - 8)*(w - 1)**2
Factor 5*q**3/2 + 5*q**2/2 - 10*q - 10.
5*(q - 2)*(q + 1)*(q + 2)/2
Let 16*z**3 - 928*z**2 - 940*z - 236 = 0. Calculate z.
-1/2, 59
Find u, given that 2*u**5/7 + 44*u**4/7 - 310*u**3/7 + 704*u**2/7 - 664*u/7 + 32 = 0.
-28, 1, 2
Let -735*l**5/4 - 665*l**4 - 1975*l**3/4 + 1005*l**2/2 + 680*l + 160 = 0. Calculate l.
-2, -8/7, -1/3, 1
Let -9*v**5 - 39*v**4 - 15*v**3 + 75*v**2 + 24*v - 36 = 0. Calculate v.
-3, -2, -1, 2/3, 1
Determine y, given that 3*y**4/4 - 75*y**3 + 579*y**2/4 + 441*y/2 = 0.
-1, 0, 3, 98
Solve 3*v**5 - 18*v**4 - 30*v**3 + 48*v**2 + 99*v + 42 = 0.
-1, 2, 7
Factor -3*w**3 + 9*w**2 + 27*w - 81.
-3*(w - 3)**2*(w + 3)
Factor -3*x**5 - 3*x**4 + 3*x**3 + 3*x**2.
-3*x**2*(x - 1)*(x + 1)**2
Find w such that 4*w**2/3 - 124*w/3 + 264 = 0.
9, 22
Factor -o**4 - 7*o**3/2 - 4*o**2 - 3*o/2.
-o*(o + 1)**2*(2*o + 3)/2
Solve 3*h**3 = 0 for h.
0
Find d, given that 4*d**2 - 124*d + 120 = 0.
1, 30
Solve 34*j**3/3 - 12*j**2 - 70*j/3 = 0.
-1, 0, 35/17
Let f**3/4 - 477*f**2/4 + 75843*f/4 - 4019679/4 = 0. What is f?
159
Factor -t**2 + 8*t - 16.
-(t - 4)**2
Factor 2*j**2/11 - 8/11.
2*(j - 2)*(j + 2)/11
Factor 3*u**5 - 6*u**4 - 69*u**3 + 72*u**2 + 432*u.
3*u*(u - 4)**2*(u + 3)**2
Let b**2 + 16*b - 17 = 0. Calculate b.
-17, 1
Factor -2*h**2/19 - 100*h/19 - 192/19.
-2*(h + 2)*(h + 48)/19
Factor 25*y**5/2 + 45*y**4 + 121*y**3/2 + 36*y**2 + 8*y.
y*(y + 1)**2*(5*y + 4)**2/2
Factor -b**5/4 + 3*b**4/2 + 4*b**3 + b**2/2 - 15*b/4 - 2.
-(b - 8)*(b - 1)*(b + 1)**3/4
Factor -3*p**3 - 54*p**2 - 96*p.
-3*p*(p + 2)*(p + 16)
Find n such that -n**2 + 419*n/5 + 84/5 = 0.
-1/5, 84
Factor 3*h**3/2 - 462*h**2 - 933*h/2 + 927.
3*(h - 309)*(h - 1)*(h + 2)/2
Factor -1536*b**3 - 60480*b**2 - 793800*b - 3472875.
-3*(8*b + 105)**3
Solve -2*m**4 + 8*m**3 + 74*m**2 + 136*m + 72 = 0 for m.
-2, -1, 9
Solve -12*j**5 + 50*j**4 - 42*j**3 - 2*j**2 + 6*j = 0 for j.
-1/3, 0, 1/2, 1, 3
Factor -n**2/3 - 61*n - 716/3.
-(n + 4)*(n + 179)/3
Factor l**5/4 - 3*l**4/2 - 5*l**3/2 + 4*l**2 + 33*l/4 + 7/2.
(l - 7)*(l - 2)*(l + 1)**3/4
Factor -15*l**3/8 + 27*l**2/4 + 63*l + 24.
-3*(l - 8)*(l + 4)*(5*l + 2)/8
Factor t**4/4 - 2*t**3 + 5*t**2 - 4*t.
t*(t - 4)*(t - 2)**2/4
Find p such that 7*p**4/3 - p**3 - 196*p**2/3 + 140*p - 48 = 0.
-6, 3/7, 2, 4
Let 4356*l**5 - 264*l**4 - 4187*l**3 + 853*l**2 + 456*l + 36 = 0. Calculate l.
-1, -3/22, 2/3
Determine l so that l**4/7 - 37*l**3/7 + 366*l**2/7 - 1052*l/7 + 920/7 = 0.
2, 10, 23
Solve -4*p**4 - 227*p**3 - 164*p**2 + 227*p + 168 = 0.
-56, -1, -3/4, 1
Suppose l**3/2 + 195*l**2 - 391*l/2 = 0. What is l?
-391, 0, 1
Factor -4*x**4 + 80*x**3 - 304*x**2 - 960*x.
-4*x*(x - 12)*(x - 10)*(x + 2)
Determine f so that f**2/2 - 7*f/2 + 6 = 0.
3, 4
What is z in -256*z**3 + 12*z**2 = 0?
0, 3/64
Suppose 2*w**4/5 - 28*w**3/5 + 114*w**2/5 - 144*w/5 = 0. What is w?
0, 3, 8
Solve -n**3/2 + 27*n**2/2 - 73*n - 204 = 0.
-2, 12, 17
Suppose -2*j**2/17 - 44*j/17 + 46/17 = 0. What is j?
-23, 1
Suppose -j**2/4 + 49*j/4 + 51/2 = 0. What is j?
-2, 51
Determine w, given that -80*w**5 + 2520*w**4 - 19205*w**3 - 10080*w**2 - 1280*w = 0.
-1/4, 0, 16
Factor -t**4/8 - 7*t**3/2 - 83*t**2/4 + 105*t/2 - 225/8.
-(t - 1)**2*(t + 15)**2/8
Factor -2*i**4 - 82*i**3 + 170*i**2 - 86*i.
-2*i*(i - 1)**2*(i + 43)
Solve v**2/6 + 735*v + 1620675/2 = 0.
-2205
Solve -m**5 + 118*m**4 - 228*m**3 - 466*m**2 + 229*m + 348 = 0 for m.
-1, 1, 3, 116
Factor -729*g**5 + 11421*g**4 - 7398*g**3 + 1628*g**2 - 120*g.
-g*(g - 15)*(9*g - 2)**3
Factor -81*j**3/7 + 2385*j**2/7 - 1048*j/7 + 116/7.
-(j - 29)*(9*j - 2)**2/7
Let -s**3 - 5*s**2 + 13*s - 7 = 0. What is s?
-7, 1
Find n, given that -5*n**4 - 3260*n**3 - 797070*n**2 - 86614940*n - 3529558805 = 0.
-163
Determine o so that 3*o**4/4 + 693*o**3/4 + 9918*o**2 - 10092*o = 0.
-116, 0, 1
Factor -8*l**2/11 - 2*l + 6/11.
-2*(l + 3)*(4*l - 1)/11
Factor 4*i**5 - 336*i**4 - 24*i**3 + 2048*i**2 - 2700*i + 1008.
4*(i - 84)*(i - 1)**3*(i + 3)
Let 10*u**4/9 + 16*u**3/9 - 16*u**2/3 - 64*u/9 + 32/9 = 0. Calculate u.
-2, 2/5, 2
Determine g, given that -3*g**3/2 - 243*g**2/2 + 507*g/2 + 747/2 = 0.
-83, -1, 3
Factor 2*p**2 + 4812*p + 4810.
2*(p + 1)*(p + 2405)
Determine x, given that 5*x**2 - 2760*x + 380880 = 0.
276
Let y**2/8 - 73*y/8 - 37/4 = 0. Calculate y.
-1, 74
Factor -68*b**2/5 - 162*b/5 - 52/5.
-2*(b + 2)*(34*b + 13)/5
Suppose 4*x**5/3 - 96*x**4 + 2592*x**3 - 31104*x**2 + 139968*x = 0. Calculate x.
0, 18
Find v such that -v**5/3 + 26*v**4/3 - 256*v**3/3 + 1184*v**2/3 - 2560*v/3 + 2048/3 = 0.
2, 4, 8
Suppose 12*z**5 + 1119*z**4 + 7635*z**3 + 13251*z**2 + 8013*z + 1290 = 0. What is z?
-86, -5, -1, -1/4
Factor -y**2 - 3*y + 4.
-(y - 1)*(y + 4)
Suppose -3*l**2/7 + 159*l/7 + 684/7 = 0. Calculate l.
-4, 57
Let -a**3 - 18*a**2/5 + 33*a/5 - 2 = 0. Calculate a.
-5, 2/5, 1
Factor -2*v**2/7 - 96*v/7 + 14.
-2*(v - 1)*(v + 49)/7
Let 5*k**5 + 43*k**4 - 143*k**3 - 115*k**2 + 66*k = 0. What is k?
-11, -1, 0, 2/5, 3
Factor 36*c**4 + 4380*c**3 + 132493*c**2 - 44530*c + 3721.
(c + 61)**2*(6*c - 1)**2
Factor 2*i**3 - 16*i**2 + 24*i.
2*i*(i - 6)*(i - 2)
Determine f, given that -3*f**3 + 6*f**2 + 3*f - 6 = 0.
-1, 1, 2
Find p such that -4*p**2 - 1248*p - 97344 = 0.
-156
Find s, given that -3*s**2/2 + 3477*s + 6957/2 = 0.
-1, 2319
Factor -h**4/11 + 24*h**3/11 - 166*h**2/11 + 24*h - 11.
-(h - 11)**2*(h - 1)**2/11
What is t in -4*t**2/3 - 128*t/3 - 1024/3 = 0?
-16
Suppose 4*w**2 + 608*w + 23104 = 0. What is w?
-76
Factor -33*i**2/5 - 13734*i/5 - 2496/5.
-3*(i + 416)*(11*i + 2)/5
Suppose 15*z**5/7 - 141*z**4/7 + 279*z**3/7 - 195*z**2/7 + 6*z = 0. What is z?
0, 2/5, 1, 7
Factor 2*p**2/9 - 14*p + 1672/9.
2*(p - 44)*(p - 19)/9
Let 2*j**5 + 10*j**4 + 14*j**3 - 2*j**2 - 16*j - 8 = 0. What is j?
-2, -1, 1
Solve -2*k**4/7 - 600*k**3/7 - 53100*k**2/7 - 1215000*k/7 - 8201250/7 = 0.
-135, -15
Solve -2*k**5/11 - 14*k**4/11 - 14*k**3/11 + 46*k**2/11 + 8*k + 40/11 = 0 for k.
-5, -2, -1, 2
Find n such that -45*n**2/4 - 137*n/4 - 3/2 = 0.
-3, -2/45
Factor 2*m**2 + 224*m - 226.
2*(m - 1)*(m + 113)
What is b in 2*b**3/15 + 694*b**2/5 = 0?
-1041, 0
Determine k so that k**3/4 - 5*k**2/12 - k/3 + 1/3 = 0.
-1, 2/3, 2
Suppose 3*f**4/4 + 15*f**3/2 + 111*f**2/4 + 45*f + 27 = 0. What is f?
-3, -2
Factor -4*m**4 + 652*m**3 + 1316*m**2 + 660*m.
-4*m*(m - 165)*(m + 1)**2
Suppose z**4/3 - 469*z**3/12 + 113*z**2/12 + 469*z/12 - 39/4 = 0. Calculate z.
-1, 1/4, 1, 117
Factor 104*z**5/9 - 311*z**4/9 + 103*z**3/3 - 101*z**2/9 - z/9.
z*(z - 1)**3*(104*z + 1)/9
Solve -5*z**4 + 135*z**3 = 0.
0, 27
Let 2*i**5/19 - 16*i**4/19 - 86*i**3/19 - 116*i**2/19 - 48*i/19 = 0. Calculate i.
-2, -1, 0, 12
Factor -14*u**4/3 + 772*u**3 - 42680*u**2 + 2383700*u/3 - 332750.
-2*(u - 55)**3*(7*u - 3)/3
Factor -f**4/