s - 9)*(s - 2)/7
Factor -4*z**3 + 404*z**2 - 9568*z - 32448.
-4*(z - 52)**2*(z + 3)
Find k such that -k**2/9 + 2*k/9 + 8/9 = 0.
-2, 4
Factor -2*h**2/5 + 106*h - 528/5.
-2*(h - 264)*(h - 1)/5
Factor -20*x**3 + 6245*x**2 - 7780*x + 1555.
-5*(x - 311)*(x - 1)*(4*x - 1)
Factor -2*a**3 + 12*a**2 - 16*a.
-2*a*(a - 4)*(a - 2)
Factor -3*l**3 - 72*l**2 + 12*l + 288.
-3*(l - 2)*(l + 2)*(l + 24)
What is w in 14*w**2 + 92*w - 42 = 0?
-7, 3/7
Factor -3*x**5 - 2913*x**4 - 11622*x**3 - 17418*x**2 - 11607*x - 2901.
-3*(x + 1)**4*(x + 967)
Suppose -2*s**3/17 + 20*s**2/17 + 26*s/17 - 44/17 = 0. What is s?
-2, 1, 11
Factor -3*s**3/2 + 69*s**2/2 - 198*s.
-3*s*(s - 12)*(s - 11)/2
Factor -4*w**4 + 1892*w**3 - 5652*w**2 + 5644*w - 1880.
-4*(w - 470)*(w - 1)**3
Find l such that -4*l**3 + 736*l**2 - 732*l = 0.
0, 1, 183
Determine n, given that 7*n**2/5 + 128*n/5 + 256/5 = 0.
-16, -16/7
Solve -44*n**3 + 2*n**2 + 44*n - 2 = 0.
-1, 1/22, 1
Factor 3*f**5 - 12*f**3 - 6*f**2 + 9*f + 6.
3*(f - 2)*(f - 1)*(f + 1)**3
Factor -4*g**4/5 - 224*g**3 - 16760*g**2 - 151200*g - 364500.
-4*(g + 5)**2*(g + 135)**2/5
Factor -5*r**3 + 65*r**2 + 1425*r - 19125.
-5*(r - 15)**2*(r + 17)
Solve 2*j**2/5 - 42*j/5 + 136/5 = 0 for j.
4, 17
Suppose 5*d**5/3 - 115*d**4/3 - 45*d**3 + 355*d**2/3 + 130*d/3 - 80 = 0. What is d?
-2, -1, 1, 24
Let 10*w**4 - 44*w**3 + 6*w**2 + 44*w - 16 = 0. What is w?
-1, 2/5, 1, 4
Factor 2*d**2/13 - 74*d/13 - 516/13.
2*(d - 43)*(d + 6)/13
Factor q**2 - 58*q - 120.
(q - 60)*(q + 2)
Factor 2*h**5 + 26*h**4 + 44*h**3.
2*h**3*(h + 2)*(h + 11)
Find s, given that -4*s**2 - 20200*s - 25502500 = 0.
-2525
Factor 47045*r**4 - 1940*r**3 + 20*r**2.
5*r**2*(97*r - 2)**2
Suppose -2*t**3/9 - 2*t**2/9 + 4*t/9 = 0. Calculate t.
-2, 0, 1
Factor 2*v**2/7 + 82*v/7 + 60.
2*(v + 6)*(v + 35)/7
Solve -x**5/5 - 71*x**4/5 - 339*x**3/5 - 601*x**2/5 - 464*x/5 - 132/5 = 0.
-66, -2, -1
Find m, given that 5*m**3/2 + 757*m**2/2 + 1511*m/10 + 151/10 = 0.
-151, -1/5
Factor -2*r**2 + 24*r + 506.
-2*(r - 23)*(r + 11)
Factor 2*i**5/5 - 28*i**4/5 + 138*i**3/5 - 56*i**2 + 40*i.
2*i*(i - 5)**2*(i - 2)**2/5
What is y in -4*y**5/7 - 8*y**4/7 + 20*y**3/7 + 40*y**2/7 - 16*y/7 - 32/7 = 0?
-2, -1, 1, 2
Factor d**3/9 - 28*d**2/3 + 953*d/9 - 710/3.
(d - 71)*(d - 10)*(d - 3)/9
Solve -2*t**5 - 36*t**4 - 58*t**3 + 104*t**2 + 120*t - 128 = 0.
-16, -2, 1
Find q, given that -3*q**3 + 9*q**2 - 6*q = 0.
0, 1, 2
Factor 2*v**2/11 + 1276*v + 2238742.
2*(v + 3509)**2/11
Solve -p**4 - 35*p**3 + 36*p**2 = 0 for p.
-36, 0, 1
Factor 15*i**2 + 14180*i - 9460.
5*(i + 946)*(3*i - 2)
What is k in k**2/7 - 16*k/7 + 4 = 0?
2, 14
Solve 4*l**4 + 8*l**3 - 52*l**2 - 152*l - 96 = 0.
-3, -2, -1, 4
Solve 13*k**5/2 + 105*k**4/2 + 147*k**3 + 167*k**2 + 141*k/2 + 9/2 = 0.
-3, -1, -1/13
Factor -t**3/4 - 15*t**2/4 - 25*t/2.
-t*(t + 5)*(t + 10)/4
Find m, given that m**3 + 15*m**2 + 63*m + 49 = 0.
-7, -1
Let 3*u**3 - 43*u**2/3 - 64*u/3 - 4 = 0. Calculate u.
-1, -2/9, 6
Let 2*l**3/5 - 76*l**2/5 + 192*l - 4032/5 = 0. Calculate l.
12, 14
Find t such that -3*t**3 - 63*t**2 = 0.
-21, 0
Suppose -2*v**4/7 - 4*v**3/7 + 18*v**2/7 + 4*v/7 - 16/7 = 0. What is v?
-4, -1, 1, 2
Factor -3*y**4/5 + 21*y**3/5 - 24*y**2/5 - 48*y/5.
-3*y*(y - 4)**2*(y + 1)/5
Let -2*p**2/11 + 52*p/11 - 336/11 = 0. What is p?
12, 14
Determine z, given that -3*z**2/2 + 72*z - 264 = 0.
4, 44
Factor 4*y**3 + 21*y**2 - 4*y - 21.
(y - 1)*(y + 1)*(4*y + 21)
Determine l, given that 3*l**4 + 24*l**3 + 45*l**2 - 12*l - 60 = 0.
-5, -2, 1
Find j such that -4*j**5/7 - 40*j**4/7 - 124*j**3/7 - 88*j**2/7 + 128*j/7 + 128/7 = 0.
-4, -2, -1, 1
Find u such that u**2/4 - 133*u/4 + 131/2 = 0.
2, 131
Factor 2*z**2 + 28*z - 64.
2*(z - 2)*(z + 16)
Suppose -s**3/4 - 13*s**2/4 + 73*s/4 + 85/4 = 0. Calculate s.
-17, -1, 5
Factor 2*b**4/15 - 34*b**3/15 - 12*b**2/5.
2*b**2*(b - 18)*(b + 1)/15
Factor -h**4 + 16*h**3 - 51*h**2 + 36*h.
-h*(h - 12)*(h - 3)*(h - 1)
Factor -15*k**3 + 291*k**2 + 19626*k - 7896.
-3*(k - 47)*(k + 28)*(5*k - 2)
Let k**3/4 - 13*k**2/4 + 39*k/4 - 27/4 = 0. What is k?
1, 3, 9
Suppose 2*d**3/9 + 122*d**2/9 + 1798*d/9 - 1922/9 = 0. What is d?
-31, 1
Factor -5*s**3/3 - 3020*s**2/3 - 459025*s/3 - 906010/3.
-5*(s + 2)*(s + 301)**2/3
Factor -5*j**4 + 15*j**3 + 30*j**2 - 40*j.
-5*j*(j - 4)*(j - 1)*(j + 2)
Factor -d**2/3 - 149*d + 448/3.
-(d - 1)*(d + 448)/3
Solve 2*h**2 + 308*h - 1920 = 0 for h.
-160, 6
Factor 3*y**2/7 + 57*y/7.
3*y*(y + 19)/7
Factor -3*t**2/7 - 51*t/7 - 90/7.
-3*(t + 2)*(t + 15)/7
Solve 2592*f**2 + 144*f + 2 = 0.
-1/36
Let 2*x**5/9 + 2*x**4/9 - 14*x**3/9 - 2*x**2/9 + 4*x/3 = 0. What is x?
-3, -1, 0, 1, 2
Suppose 3*v**2 + 10395*v = 0. Calculate v.
-3465, 0
Factor -j**3/2 - 297*j**2/2 - 591*j/2 - 295/2.
-(j + 1)**2*(j + 295)/2
Suppose 3*r**2/2 + 16*r - 11/2 = 0. Calculate r.
-11, 1/3
Find k such that 3*k**3/4 + 33*k**2 + 123*k/4 - 129/2 = 0.
-43, -2, 1
Factor q**3/3 + 4*q**2/3 - 7*q/3 - 10/3.
(q - 2)*(q + 1)*(q + 5)/3
Find o such that o**3 - 62*o**2 - 400*o - 544 = 0.
-4, -2, 68
Factor m**4/7 + 9*m**3/7 + 4*m**2 + 36*m/7 + 16/7.
(m + 1)*(m + 2)**2*(m + 4)/7
Determine r so that -r**5/11 - 48*r**4/11 - 182*r**3/11 - 268*r**2/11 - 177*r/11 - 4 = 0.
-44, -1
What is n in 2*n**5/5 - 4*n**3/5 + 2*n/5 = 0?
-1, 0, 1
Factor s**3 - 93*s**2 - 393*s + 485.
(s - 97)*(s - 1)*(s + 5)
Factor -9*u**3/2 - 65*u**2/2 - 34*u - 6.
-(u + 1)*(u + 6)*(9*u + 2)/2
Factor 16*t**4/3 + 272*t**3/3 + 1396*t**2/3 + 680*t + 300.
4*(t + 1)**2*(2*t + 15)**2/3
Suppose -2*r**5 + 166*r**4 - 162*r**3 - 166*r**2 + 164*r = 0. What is r?
-1, 0, 1, 82
Factor 2*r**2/7 - 76*r/7 + 74/7.
2*(r - 37)*(r - 1)/7
What is d in -3*d**4 - 1653*d**3 - 228525*d**2 - 226875*d = 0?
-275, -1, 0
Factor -4*p**3 + 1884*p**2 - 295788*p + 15479572.
-4*(p - 157)**3
Determine w, given that 2*w**4/3 - 40*w**3/3 - 1258*w**2/3 = 0.
-17, 0, 37
Solve -6*w**2 + 2140*w - 1424 = 0.
2/3, 356
Determine l, given that -4*l**4 - 88*l**3 - 612*l**2 - 1520*l - 1232 = 0.
-11, -7, -2
Factor 14*u**3/9 - 38*u**2/3 - 110*u/9 + 2.
2*(u - 9)*(u + 1)*(7*u - 1)/9
Solve x**3/5 - 57*x**2/5 + 506*x/5 = 0 for x.
0, 11, 46
Find w such that w**2 - 74*w - 1131 = 0.
-13, 87
Factor b**2/3 + 83*b + 494/3.
(b + 2)*(b + 247)/3
Determine v, given that 27*v**5/4 - 9*v**4 - 1185*v**3/4 + 669*v**2/2 + 2280*v + 1800 = 0.
-6, -4/3, 5
Find y, given that 3*y**2/5 + 1611*y/5 - 3234/5 = 0.
-539, 2
Suppose -2*k**3/3 + 136*k**2/3 - 394*k/3 + 260/3 = 0. What is k?
1, 2, 65
Factor -3*c**4 - 9*c**3 + 1323*c**2 - 1311*c.
-3*c*(c - 19)*(c - 1)*(c + 23)
Factor -12*p**3/7 + 25*p**2/7 - 2*p/7.
-p*(p - 2)*(12*p - 1)/7
Determine u, given that -3*u**2 + 39*u/4 + 9 = 0.
-3/4, 4
Let 30*r**5 - 185*r**4 - 530*r**3 + 615*r**2 + 950*r - 880 = 0. Calculate r.
-2, -11/6, 1, 8
Find h, given that -75*h**4 - 1080*h**3 - 3768*h**2 - 4896*h - 2160 = 0.
-10, -2, -6/5
Factor -2*y**3/13 - 62*y**2/13.
-2*y**2*(y + 31)/13
Factor 20*c**4 + 1952*c**3 + 1156*c**2 - 776*c.
4*c*(c + 1)*(c + 97)*(5*c - 2)
Factor 4*w**4 + 64*w**3 + 276*w**2 + 216*w.
4*w*(w + 1)*(w + 6)*(w + 9)
Determine a so that a**5 + 2*a**4 - 2*a**3 - 4*a**2 + a + 2 = 0.
-2, -1, 1
Factor 3*o**2 + 3*o - 168.
3*(o - 7)*(o + 8)
Factor 3*i**4 - 81*i**3 - 84*i**2.
3*i**2*(i - 28)*(i + 1)
Factor -4*l**2 + 369*l - 92.
-(l - 92)*(4*l - 1)
Factor -5*x**5/3 - 40*x**4/3 + 640*x**2/3 + 1280*x/3.
-5*x*(x - 4)*(x + 4)**3/3
Determine v, given that v**4/5 + 8*v**3/5 - 37*v**2/5 - 44*v/5 = 0.
-11, -1, 0, 4
Find l such that l**5/6 - l**4/6 - 7*l**3/6 + 13*l**2/6 - l = 0.
-3, 0, 1, 2
Factor 2*i**3/3 + 272*i**2/3 + 606*i + 516.
2*(i + 1)*(i + 6)*(i + 129)/3
Factor -3362*t**2/7 + 492*t/7 - 18/7.
-2*(41*t - 3)**2/7
Factor -r**5/7 - r**4 - 3*r**3/7 + 23*r**2/7 + 32*r/7 + 12/7.
-(r - 2)*(r + 1)**3*(r + 6)/7
Solve -2*n**5/9 + 16*n**4/9 + 52*n**3/9 - 88*n**2/3 - 50*n + 72 = 0.
-3, 1, 4, 9
Let 3*s**2 - 3504*s + 1023168 = 0. What is s?
584
Find v such that v**4 - 9*v**3 - v**2 + 9*v = 0.
-1, 0, 1, 9
Solve 3*n**3 - 21*n**2 - 90*n = 0.
-3, 0, 10
Factor 4*g**3 - 8*g**2 - 2940*g - 28800.
4*(g - 32)*(g + 15)**2
Factor m**4 - 6*m**3 - 8*m**2 + 96*m - 128.
(m - 4)**2*(m - 2)*(m + 4)
Factor -10*x**2/19 + 1474*x/19.
-2*x*(5*x - 737)/19
Suppose -5*d**2/7 - 338*d/7 + 136/7 = 0. Calculate d.
-68, 2/5
Factor 4*j**3 + 56*j**2 - 128*j.
4*j*(j - 2)*(j + 16)
Solve -f**3 + 296*f**2 - 295*f = 0 for f.
0, 1, 2