*2 + 2980*j - 5940.
-5*(j - 594)*(j - 2)
Solve 3*r**3/2 + 21*r**2/2 - 27*r = 0.
-9, 0, 2
Suppose 68*i**5 + 484*i**4 - 1100*i**3 + 476*i**2 + 72*i = 0. What is i?
-9, -2/17, 0, 1
Suppose -3*y**4/5 - 147*y**3/5 + 966*y**2/5 - 264*y = 0. Calculate y.
-55, 0, 2, 4
Let -12*x**4/7 - 31348*x**3/7 + 20904*x**2/7 = 0. What is x?
-2613, 0, 2/3
Suppose k**2 - 14910*k + 55577025 = 0. What is k?
7455
Factor -2*j**4 - 103*j**3 - 148*j**2 + 100*j.
-j*(j + 2)*(j + 50)*(2*j - 1)
Factor 2*m**5/13 - 6*m**4/13 - 12*m**3/13 + 20*m**2/13 + 42*m/13 + 18/13.
2*(m - 3)**2*(m + 1)**3/13
Find c such that -10*c**5 - 583*c**4/2 - 645*c**3/2 - 13*c**2 + 28*c = 0.
-28, -1, -2/5, 0, 1/4
Suppose n**5 + n**4 - 2*n**3 = 0. What is n?
-2, 0, 1
What is g in 3*g**4/8 - 15*g**3/8 - 9*g**2/4 = 0?
-1, 0, 6
Find w such that -4*w**2 + 12656*w - 10010896 = 0.
1582
Factor 3*a**5 - 3*a**4 - 3*a**3 + 3*a**2.
3*a**2*(a - 1)**2*(a + 1)
Find p such that 2*p**4 + 408*p**3 + 20808*p**2 = 0.
-102, 0
Determine v so that 5*v**3 - 35*v**2 + 80*v - 60 = 0.
2, 3
Factor -v**3/4 - 192*v**2 - 767*v/4.
-v*(v + 1)*(v + 767)/4
Find z, given that -2*z**5 + 4*z**4/3 + 15*z**3/2 - 11*z**2/6 - 5*z = 0.
-3/2, -5/6, 0, 1, 2
Factor -2*r**4/9 - 26*r**3/3 - 308*r**2/3 - 1960*r/9 + 5488/3.
-2*(r - 3)*(r + 14)**3/9
Solve 3*a**5 - 45*a**4 + 177*a**3 - 291*a**2 + 216*a - 60 = 0 for a.
1, 2, 10
Factor -5*c**2 + 70*c + 75.
-5*(c - 15)*(c + 1)
Suppose 2*x**4/13 - 64*x**3/13 - 204*x**2/13 - 16*x - 70/13 = 0. Calculate x.
-1, 35
Factor -2*b**5/7 + 20*b**4/7 - 34*b**3/7 + 16*b**2/7.
-2*b**2*(b - 8)*(b - 1)**2/7
Factor -3*d**4 - 6*d**3 + 12*d**2 + 6*d - 9.
-3*(d - 1)**2*(d + 1)*(d + 3)
Find u such that -3*u**2 + 66*u - 216 = 0.
4, 18
Factor x**3/9 + 28*x**2/9 + 19*x.
x*(x + 9)*(x + 19)/9
Suppose 2*t**2/11 + 8*t + 456/11 = 0. Calculate t.
-38, -6
Factor -4*d**2/9 + 144*d.
-4*d*(d - 324)/9
Suppose 2*x**5 - 62*x**4/5 + 142*x**3/5 - 146*x**2/5 + 64*x/5 - 8/5 = 0. What is x?
1/5, 1, 2
Determine d, given that -d**2/5 + 28*d/5 + 12 = 0.
-2, 30
Let -2*g**5 + 33*g**4/4 - 7*g**3 + 3*g**2/4 = 0. Calculate g.
0, 1/8, 1, 3
Factor -2*r**3 + 6*r - 4.
-2*(r - 1)**2*(r + 2)
Find v such that 3*v**5 + 12*v**4 - 54*v**3 + 60*v**2 - 21*v = 0.
-7, 0, 1
Determine b, given that 3*b**4 - 33*b**3 + 18*b**2 + 132*b - 120 = 0.
-2, 1, 2, 10
Determine v so that 11*v**5/12 - 97*v**4/12 + 125*v**3/12 + 125*v**2/12 - 34*v/3 - 7/3 = 0.
-1, -2/11, 1, 2, 7
Factor -5*o**3 + 60*o**2 + 320*o.
-5*o*(o - 16)*(o + 4)
Let -8*w**3 + 179*w**2 - 386*w + 120 = 0. Calculate w.
3/8, 2, 20
Suppose 2*j**5/5 + 26*j**4/5 + 18*j**3 - 10*j**2 - 100*j = 0. What is j?
-5, 0, 2
Factor x**4/5 - 49*x**3/5 - 32*x**2 + 208*x/5.
x*(x - 52)*(x - 1)*(x + 4)/5
Factor -d**4/4 - 83*d**3/4 - 911*d**2/2 - 840*d + 7200.
-(d - 3)*(d + 6)*(d + 40)**2/4
Factor -m**4 - 202*m**3 - 600*m**2 - 598*m - 199.
-(m + 1)**3*(m + 199)
Factor 3*z**2 + 129*z - 270.
3*(z - 2)*(z + 45)
Factor -249*k**2/2 - 255*k/2 - 3.
-3*(k + 1)*(83*k + 2)/2
Factor -2*v**2 + 116*v + 118.
-2*(v - 59)*(v + 1)
Factor -9*n**2 - 313*n + 70.
-(n + 35)*(9*n - 2)
Let -5*d**4 + 3505*d**3/3 - 69210*d**2 + 111360*d + 134560/3 = 0. Calculate d.
-1/3, 2, 116
Factor -4*s**4/13 - 42*s**3/13 - 120*s**2/13 - 50*s/13.
-2*s*(s + 5)**2*(2*s + 1)/13
Determine x so that -2*x**3/15 - 22*x**2/3 - 1456*x/15 + 1568/15 = 0.
-28, 1
Find l such that -25*l**2 - 565*l + 230 = 0.
-23, 2/5
What is m in -3*m**3 - 18*m**2 - 15*m + 36 = 0?
-4, -3, 1
Find a such that -3*a**5 - 231*a**4 - 4068*a**3 + 15360*a**2 + 19200*a = 0.
-40, -1, 0, 4
Factor 3*w**3/7 - 51*w**2/7 + 48*w/7.
3*w*(w - 16)*(w - 1)/7
Solve -2*u**4/5 - 29*u**3/5 - 112*u**2/5 - 49*u/5 = 0 for u.
-7, -1/2, 0
Determine j, given that -5*j**4 - 55*j**3 - 45*j**2 + 55*j + 50 = 0.
-10, -1, 1
Factor 2*y**4/15 - 4*y**3/3 + 24*y**2/5 - 36*y/5 + 18/5.
2*(y - 3)**3*(y - 1)/15
Let -s**3 + 312*s**2 = 0. What is s?
0, 312
Factor -2*g**2/7 - 96*g/7.
-2*g*(g + 48)/7
Factor 3*s**3 + 12*s**2 + 15*s + 6.
3*(s + 1)**2*(s + 2)
Find g, given that -60*g**5 + 333*g**4/2 - 102*g**3 + 18*g**2 = 0.
0, 3/8, 2/5, 2
Determine f so that f**5/6 + f**4/6 - 3*f**3/2 + 11*f**2/6 - 2*f/3 = 0.
-4, 0, 1
Determine m, given that -2*m**3/7 + 12*m**2/7 - 10*m/7 = 0.
0, 1, 5
Factor 4*o**2/7 - 5248*o/7 + 1721344/7.
4*(o - 656)**2/7
Find a such that -2*a**2 + 2 = 0.
-1, 1
Let -d**4/2 + 121*d**3 - 719*d**2/2 + 239*d = 0. Calculate d.
0, 1, 2, 239
Factor 4*i**3 + 452*i**2 - 916*i + 460.
4*(i - 1)**2*(i + 115)
Factor -27*m**2/8 + 29*m/4 - 31/8.
-(m - 1)*(27*m - 31)/8
Solve 4*g**3 - 804*g**2 + 41580*g - 117612 = 0.
3, 99
Factor 4*a**4 + 104*a**3 + 96*a**2 - 104*a - 100.
4*(a - 1)*(a + 1)**2*(a + 25)
Factor -3*a**3/7 - 285*a**2/7 + 42*a + 576/7.
-3*(a - 2)*(a + 1)*(a + 96)/7
Factor 9*w**5/10 - 33*w**4 + 2797*w**3/10 + 418*w**2 + 722*w/5.
w*(w - 19)**2*(3*w + 2)**2/10
Find y, given that -2*y**3 + 120*y**2 - 456*y + 448 = 0.
2, 56
Factor 2*w**2 + 300*w + 11250.
2*(w + 75)**2
Solve g**2 - 17*g - 200 = 0 for g.
-8, 25
Factor -2*q**2/11 - 80*q/11 - 78/11.
-2*(q + 1)*(q + 39)/11
Factor -c**2/7 + 592*c/7 - 87616/7.
-(c - 296)**2/7
Factor 3*t**3 - 1401*t**2 + 2793*t - 1395.
3*(t - 465)*(t - 1)**2
Find u, given that 4*u**5 - 4*u**4 - 20*u**3 + 20*u**2 + 16*u - 16 = 0.
-2, -1, 1, 2
Find a, given that 3*a**4/4 + 3*a**3/4 - 6*a**2 - 9*a = 0.
-2, 0, 3
Factor -n**3/4 + 3*n**2 - 64.
-(n - 8)**2*(n + 4)/4
Factor -6*o**5/5 - 68*o**4/5 + 48*o**3/5.
-2*o**3*(o + 12)*(3*o - 2)/5
Solve 4*q**4/3 - 34*q**3/9 + 16*q**2/9 + 10*q/9 - 4/9 = 0 for q.
-1/2, 1/3, 1, 2
Find y such that 2*y**2 + 48*y - 104 = 0.
-26, 2
Solve -363*q**4 + 66*q**3 - 3*q**2 = 0.
0, 1/11
Suppose 12*w**5/11 - 526*w**4/11 + 932*w**3/11 - 334*w**2/11 - 84*w/11 = 0. Calculate w.
-1/6, 0, 1, 42
Suppose -3*q**5/4 - 73*q**4/2 - 2363*q**3/4 - 3282*q**2 - 1755*q + 972 = 0. What is q?
-18, -12, -1, 1/3
Suppose -8*x**4/5 - 146*x**3/5 - 180*x**2 - 1944*x/5 - 432/5 = 0. What is x?
-6, -1/4
Factor -3*b**4 + 18*b**2 - 24*b + 9.
-3*(b - 1)**3*(b + 3)
Find i such that -4*i**5/21 + 10*i**4/7 - 10*i**3/3 + 20*i**2/7 - 16*i/21 = 0.
0, 1/2, 1, 2, 4
Factor 2*y**3/5 + 244*y**2/5 - 8*y/5 - 976/5.
2*(y - 2)*(y + 2)*(y + 122)/5
What is s in s**5/3 + 80*s**4/3 + 1678*s**3/3 + 11908*s**2/3 + 19097*s/3 + 8788/3 = 0?
-52, -13, -1
Find r, given that -3*r**2 + 90*r - 432 = 0.
6, 24
Determine z so that z**2/11 - 2*z/11 = 0.
0, 2
Suppose -3*i**5/4 - 12*i**4 + 171*i**3/4 - 3*i**2 - 57*i = 0. Calculate i.
-19, -1, 0, 2
Factor 4*b**2 + 76*b - 264.
4*(b - 3)*(b + 22)
Suppose 137*q**2/2 + 49*q - 39/2 = 0. Calculate q.
-1, 39/137
Find y such that 49*y**5/5 + 7*y**4 - 13*y**3/5 + y**2/5 = 0.
-1, 0, 1/7
Factor -v**2 + 402*v - 40401.
-(v - 201)**2
Factor i**3 - 2*i**2 - 8*i.
i*(i - 4)*(i + 2)
Determine i, given that -5*i**5 - 25*i**4 + 150*i**3 + 550*i**2 - 145*i - 525 = 0.
-7, -3, -1, 1, 5
Determine p, given that 69*p**3 - 354*p**2 + 321*p - 36 = 0.
3/23, 1, 4
Factor a**4 - 13*a**3 - 14*a**2.
a**2*(a - 14)*(a + 1)
Find o, given that 2*o**4 + 14*o**3/5 - 46*o**2/5 + 2*o + 12/5 = 0.
-3, -2/5, 1
Factor 149769*r**2/2 + 1548*r + 8.
(387*r + 4)**2/2
Let -o**2 - 3*o = 0. What is o?
-3, 0
Find i such that -2*i**5 - 4*i**4 + 150*i**3 - 200*i**2 - 1000*i = 0.
-10, -2, 0, 5
Determine u so that -4*u**5/3 + 23*u**4/3 - 14*u**3/3 - 5*u**2/3 = 0.
-1/4, 0, 1, 5
Suppose 183*g**3/4 + 723*g**2/4 + 174*g - 9 = 0. What is g?
-2, 3/61
Factor -64*f**4 - 608*f**3 - 1284*f**2 + 760*f - 100.
-4*(f + 5)**2*(4*f - 1)**2
Factor -2*d**2/9 - 50*d/9 + 52/9.
-2*(d - 1)*(d + 26)/9
Factor -9*b**4/2 + 21*b**3 - 205*b**2/8 + 75*b/8.
-b*(b - 3)*(6*b - 5)**2/8
Let -x**5/2 - 15*x**4 + x**3/2 + 15*x**2 = 0. Calculate x.
-30, -1, 0, 1
Determine j, given that 4*j**3 - 4*j**2 - 168*j = 0.
-6, 0, 7
Determine p, given that -25*p**3 + 12190*p**2 + 4880*p = 0.
-2/5, 0, 488
Find p, given that 3*p**4/7 - 33*p**3/7 - 3*p**2/7 + 33*p/7 = 0.
-1, 0, 1, 11
Factor 4*x**2 - 12*x - 16.
4*(x - 4)*(x + 1)
Determine x, given that x**3/7 - 10*x**2/7 + 12*x/7 + 72/7 = 0.
-2, 6
Factor -w**4/2 - 1369*w**3 - 4104*w**2 - 4103*w - 2735/2.
-(w + 1)**3*(w + 2735)/2
Let 3*d**5/5 - 12*d**4/5 - 78*d**3/5 - 132*d**2/5 - 93*d/5 - 24/5 = 0. What is d?
-1, 8
Factor 5*z**4 + 130*z**3 + 545*z**2 + 420*z.
5*z*(z + 1)*(z + 4)*(z + 21)
Suppose -d**2/8 + 265*d/8 + 269/2 = 0. What is d?
-4, 269
Solve -4*c**5 + 84*c**4 - 272