, 2/7, 2
Factor 5*m**2 + 65*m - 570.
5*(m - 6)*(m + 19)
What is k in 2*k**3/5 + 658*k**2/5 - 1322*k/5 + 662/5 = 0?
-331, 1
Find j such that j**4/2 + 19*j**3/2 - 21*j**2 = 0.
-21, 0, 2
Determine s so that -s**2/7 + 100*s - 699/7 = 0.
1, 699
Solve -48*b**3 - 2884*b**2 - 3072*b - 236 = 0 for b.
-59, -1, -1/12
Factor -n**3 + 1638*n**2 - 669120*n - 1344800.
-(n - 820)**2*(n + 2)
Determine t so that -2*t**2 - 12*t + 32 = 0.
-8, 2
Factor -2*p**3 - 16*p**2.
-2*p**2*(p + 8)
Suppose -5*f**3 - 545*f**2/4 + 405*f - 225 = 0. What is f?
-30, 3/4, 2
Factor 2*x**3/13 + 446*x**2/13 - 900*x/13.
2*x*(x - 2)*(x + 225)/13
Solve 2*m**2/11 - 838*m/11 - 840/11 = 0.
-1, 420
Factor -k**3 - 2852*k**2 + 5707*k - 2854.
-(k - 1)**2*(k + 2854)
Factor -4*k**2/7 + 2496*k/7.
-4*k*(k - 624)/7
Factor -f**2 - 359*f - 2118.
-(f + 6)*(f + 353)
Factor r**4 + 184*r**3 + 8262*r**2 - 20088*r - 129735.
(r - 5)*(r + 3)*(r + 93)**2
Determine o so that 5*o**2 - 2140*o + 228980 = 0.
214
What is l in l**3/6 + 15*l**2/2 + 88*l + 242/3 = 0?
-22, -1
Factor 4*c**2/7 + 6352*c/7 + 2521744/7.
4*(c + 794)**2/7
Factor -9*r**5/7 + 33*r**4/7 - 6*r**3 + 18*r**2/7 + 3*r/7 - 3/7.
-3*(r - 1)**4*(3*r + 1)/7
Factor 4*d**2/5 - 1676*d/5 - 336.
4*(d - 420)*(d + 1)/5
Factor 5*d**3 - 25*d**2 + 35*d - 15.
5*(d - 3)*(d - 1)**2
Factor -6*b**2 + 81*b - 75.
-3*(b - 1)*(2*b - 25)
Factor -h**3/4 - 239*h**2/4 + 121*h/2 + 120.
-(h - 2)*(h + 1)*(h + 240)/4
Let 2*x**3/13 + 394*x**2/13 = 0. Calculate x.
-197, 0
Factor -47524*z**2 - 20928*z - 2304.
-4*(109*z + 24)**2
Factor -2*t**5/3 - 272*t**4/3 + 560*t**3 - 3392*t**2/3 + 2272*t/3.
-2*t*(t - 2)**3*(t + 142)/3
Factor 3*b**3/5 - 51*b**2/5.
3*b**2*(b - 17)/5
Let -2*h**2/9 + 280*h/3 - 1672/9 = 0. What is h?
2, 418
Find h, given that h**4/7 - 29*h**3 = 0.
0, 203
Factor r**2/2 + r/2 - 10.
(r - 4)*(r + 5)/2
Let -u**2/5 + 2*u/5 - 1/5 = 0. Calculate u.
1
Factor -2*j**4/5 + 14*j**3/5 - 28*j**2/5 + 16*j/5.
-2*j*(j - 4)*(j - 2)*(j - 1)/5
Factor 2*q**3 - 214*q**2 + 3366*q - 14418.
2*(q - 89)*(q - 9)**2
Factor 5*x**2 - 205*x + 200.
5*(x - 40)*(x - 1)
Find s, given that -9*s**5 + 282*s**4 - 1335*s**3 - 16110*s**2 + 23004*s - 5832 = 0.
-6, 1/3, 1, 18
Factor 5*r**3 - 900*r**2 + 54000*r - 1080000.
5*(r - 60)**3
Let 2*p**4/3 - 24*p**3 + 908*p**2/3 - 1560*p + 8450/3 = 0. What is p?
5, 13
Suppose -5*n**2 - 25*n - 30 = 0. Calculate n.
-3, -2
Determine u, given that 2*u**5 + 2*u**4 - 128*u**3 - 128*u**2 = 0.
-8, -1, 0, 8
Factor -4*p**3/7 - 40*p**2/7 + 148*p/7 - 104/7.
-4*(p - 2)*(p - 1)*(p + 13)/7
Factor 2*g**2/3 + 34*g + 196/3.
2*(g + 2)*(g + 49)/3
Factor -3*k**5 + 39*k**4 - 144*k**3 + 108*k**2.
-3*k**2*(k - 6)**2*(k - 1)
Suppose 2*l**2/5 - 22*l + 1148/5 = 0. Calculate l.
14, 41
Factor -8*f**2/13 + 8*f - 26.
-2*(2*f - 13)**2/13
Find b such that -3*b**3/8 - 231*b**2/8 - 84*b - 111/2 = 0.
-74, -2, -1
Factor -3*m**3 - 18*m**2 - 27*m.
-3*m*(m + 3)**2
Determine q so that -2*q**3 + 2*q**2 + 34*q + 30 = 0.
-3, -1, 5
Solve -5*d**4 - 95*d**3 - 255*d**2 + 2255*d + 2420 = 0 for d.
-11, -1, 4
What is i in 18*i**5 + 5*i**4 - 151*i**3/8 - 21*i**2/4 + 7*i/8 + 1/4 = 0?
-1, -1/4, 2/9, 1
Determine o so that 12*o**3 - 45*o**2 - 243*o - 210 = 0.
-2, -5/4, 7
Factor -4*o**2 + 272*o - 528.
-4*(o - 66)*(o - 2)
Factor -3*m**2/4 - 1431*m/2 - 2859/4.
-3*(m + 1)*(m + 953)/4
Factor i**3/4 + 7*i**2/2 + 55*i/4 + 21/2.
(i + 1)*(i + 6)*(i + 7)/4
Factor 4*f**2/3 + 452*f/3 + 4120/3.
4*(f + 10)*(f + 103)/3
Let -4*z**4 - 3196*z**3 - 6372*z**2 + 3196*z + 6376 = 0. Calculate z.
-797, -2, -1, 1
Solve 5*t**5 - 170*t**4 - 1795*t**3 + 47800*t**2 + 658880*t + 2152960 = 0 for t.
-8, 29
Find f such that -2*f**2/9 + 164*f/9 - 18 = 0.
1, 81
Factor 5*z**3 - 105*z**2 + 540*z - 700.
5*(z - 14)*(z - 5)*(z - 2)
Let -288*s**4 + 500*s**3 - 137*s**2 - 74*s - 1 = 0. What is s?
-1/4, -1/72, 1
Factor 3*u**3 - 3894*u**2 - 7797*u - 3900.
3*(u - 1300)*(u + 1)**2
Factor -d**2 - 27*d + 418.
-(d - 11)*(d + 38)
Find n, given that 24642*n**3/23 - 53724*n**2/23 + 9080*n/23 - 400/23 = 0.
10/111, 2
Solve 5*x**4 - 90*x**3 - 20*x**2 + 360*x = 0.
-2, 0, 2, 18
Factor -o**3 - 326*o**2 - 26892*o - 52488.
-(o + 2)*(o + 162)**2
Factor -5*d**3 - 175*d**2 + 190*d + 360.
-5*(d - 2)*(d + 1)*(d + 36)
Factor 3*o**2 - 1152*o + 110592.
3*(o - 192)**2
Factor -5*l**4 - 49*l**3 - 111*l**2 + 65*l + 100.
-(l - 1)*(l + 5)**2*(5*l + 4)
Let -y**3/6 - 91*y**2/6 - 176*y/3 - 58 = 0. Calculate y.
-87, -2
Factor -2*b**5/9 - 176*b**4/9 - 3308*b**3/9 + 8272*b**2/3 - 4418*b.
-2*b*(b - 3)**2*(b + 47)**2/9
Suppose -p**2/3 - 14*p/3 - 13/3 = 0. What is p?
-13, -1
Factor 3*t**3/7 + 18*t**2/7 + 9*t/7 - 30/7.
3*(t - 1)*(t + 2)*(t + 5)/7
Factor 9*r**3/2 + 15*r**2/2 + 3*r.
3*r*(r + 1)*(3*r + 2)/2
Factor -5*a**2 + 695*a - 4620.
-5*(a - 132)*(a - 7)
Factor 3*d**2/5 - 297*d/5.
3*d*(d - 99)/5
Determine m so that -7*m**3 - 79*m**2 + 62*m + 24 = 0.
-12, -2/7, 1
Factor 2*s**3 + 1572*s**2 + 411864*s + 35969456.
2*(s + 262)**3
Let -3*f**3 - 75*f**2/4 + 321*f/2 + 165/4 = 0. What is f?
-11, -1/4, 5
Suppose -3*u**3/4 + 41*u**2/4 - 73*u/2 + 20 = 0. Calculate u.
2/3, 5, 8
Factor 2*r**4/7 - 4*r**3 + 88*r**2/7 - 80*r/7.
2*r*(r - 10)*(r - 2)**2/7
Factor -3*i**5/7 + 1830*i**4/7 - 370875*i**3/7 + 24721740*i**2/7 + 50563440*i/7 + 25468992/7.
-3*(i - 204)**3*(i + 1)**2/7
Determine r so that 2*r**4/9 + 50*r**3/9 + 388*r**2/9 + 760*r/9 - 400/3 = 0.
-10, -6, 1
Suppose 2*f**4/5 + 6*f**3/5 - 68*f**2/5 - 216*f/5 - 144/5 = 0. What is f?
-6, -2, -1, 6
Factor 5*a**3 - 930*a**2 - 4755*a - 3820.
5*(a - 191)*(a + 1)*(a + 4)
Suppose 3*m**3 - 69*m**2 + 129*m - 63 = 0. Calculate m.
1, 21
Find a, given that a**5/6 + 7*a**4/6 + 3*a**3 + 10*a**2/3 + 4*a/3 = 0.
-2, -1, 0
Find p, given that p**4/5 + 133*p**3/5 + 521*p**2/5 + 647*p/5 + 258/5 = 0.
-129, -2, -1
Suppose i**2 + 3*i - 70 = 0. What is i?
-10, 7
Factor 2*p**3 - 3304*p**2 - 19878*p - 29844.
2*(p - 1658)*(p + 3)**2
Suppose 5*w**5 - 5*w**4 - 95*w**3 + 245*w**2 - 150*w = 0. What is w?
-5, 0, 1, 2, 3
Solve -n**2/3 + 14*n/3 + 5 = 0 for n.
-1, 15
Factor 756900*p**3 - 770820*p**2 + 13984*p - 64.
4*(p - 1)*(435*p - 4)**2
Factor -f**2/4 + 127*f/2 + 128.
-(f - 256)*(f + 2)/4
Determine p, given that 2*p**4/7 + 1612*p**3/7 + 1608*p**2/7 - 1612*p/7 - 230 = 0.
-805, -1, 1
Let 748845*l**3 - 189630*l**2 + 5340*l - 40 = 0. What is l?
2/129, 2/9
Solve -3*c**3 + 459*c**2 + 3816*c + 7728 = 0.
-4, 161
Factor -2*u**5 + 154*u**4 - 1284*u**3 + 4168*u**2 - 6032*u + 3264.
-2*(u - 68)*(u - 3)*(u - 2)**3
Factor -n**3 - 58*n**2 - 165*n.
-n*(n + 3)*(n + 55)
Determine j, given that 5*j**4/4 - 10*j**3 + 75*j**2/4 + 10*j - 20 = 0.
-1, 1, 4
Solve 16*q**2 - 36*q + 20 = 0.
1, 5/4
Factor -15*z**2 - 440*z - 145.
-5*(z + 29)*(3*z + 1)
Factor -r**4 - 10*r**3 - 33*r**2 - 40*r - 16.
-(r + 1)**2*(r + 4)**2
Factor 5*w**3/4 - 65*w**2/4 - 280*w + 3675.
5*(w - 14)**2*(w + 15)/4
Factor -50*y**2 + 13760*y - 946688.
-2*(5*y - 688)**2
Factor -5*w**4 + 15*w**3 - 5*w**2 - 15*w + 10.
-5*(w - 2)*(w - 1)**2*(w + 1)
Suppose -4*v**4 - 4*v**3 + 4*v**2 + 4*v = 0. Calculate v.
-1, 0, 1
Suppose 2*n**2/5 - 2098*n/5 - 4204/5 = 0. Calculate n.
-2, 1051
Factor -3*m**2 - 426*m - 840.
-3*(m + 2)*(m + 140)
Factor 4*l**3 - 1916*l**2 - 3844*l - 1924.
4*(l - 481)*(l + 1)**2
Solve -2*j**2/13 + 582*j/13 + 584/13 = 0 for j.
-1, 292
Solve 32*s**5 - 40*s**4 - 60*s**3 + 20*s**2 + 8*s = 0.
-1, -1/4, 0, 1/2, 2
Factor 2*v**2/5 - 78*v + 1080.
2*(v - 180)*(v - 15)/5
Find k, given that -26*k**5 - 108*k**4 + 712*k**3 - 720*k**2 - 128*k = 0.
-8, -2/13, 0, 2
Solve 3*p**3/2 + 54*p**2 - 114*p = 0 for p.
-38, 0, 2
Factor -z**2/5 - 224*z/5 - 12544/5.
-(z + 112)**2/5
What is m in 4*m**2/3 + 8*m + 32/3 = 0?
-4, -2
Determine p, given that 3*p**2 - 39*p - 42 = 0.
-1, 14
Solve -4*r**5/9 + 8*r**3/9 - 4*r/9 = 0 for r.
-1, 0, 1
Determine m so that 3*m**3 - 231*m**2 + 4560*m - 4332 = 0.
1, 38
Factor -10*n**3 + 18*n**2 + 34*n + 6.
-2*(n - 3)*(n + 1)*(5*n + 1)
Solve -4*r**3 + 20*r**2 + 48*r - 144 = 0 for r.
-3, 2, 6
Factor -4*p**3/7 + 8*p**2 - 100*p/7 + 48/7.
-4*(p - 12)*(p - 1)**2/7
Find a such that a**4 + 8*a**3 - 20*a**2 = 0.
-10, 0, 2
What is o in 54*o**5/5 + 270*o**4 - 4356*o**3/5 + 4952*o**2/5 - 2448*o/5 + 448/5 = 0?
-28, 2/3, 1
Factor m**3/2 + 25*m**2/2 + 11*m - 24.
(m - 1)*(m + 2)*(m + 24)/2
Find n, given that -4*n**5/11 + 8*n**4/11 + 15*n**3/11 - 7*n**2/11 - 7*n/11 + 3/11 =