 6
Let 3*l**2/2 + 5037*l/2 = 0. Calculate l.
-1679, 0
Factor -2*q**4 - 90*q**3 + 282*q**2 - 286*q + 96.
-2*(q - 1)**3*(q + 48)
What is s in -4*s**3 + 52*s**2 + 256*s + 272 = 0?
-2, 17
Determine w so that -w**4/3 + w**2 + 2*w/3 = 0.
-1, 0, 2
Factor 3*v**3 - 243*v**2 + 6561*v - 59049.
3*(v - 27)**3
Find p such that -4*p**5 - 40*p**4 - 72*p**3 + 128*p**2 + 332*p + 168 = 0.
-7, -3, -1, 2
Factor -680*l**2 - 615*l + 65.
-5*(l + 1)*(136*l - 13)
Find j, given that -5*j**4 + 165*j**3 - 1360*j**2 + 1200*j = 0.
0, 1, 12, 20
What is l in l**3/4 - l = 0?
-2, 0, 2
Factor v**2/6 + 2*v/3 - 5/6.
(v - 1)*(v + 5)/6
What is g in -795*g**2/2 - 687*g/2 - 63 = 0?
-3/5, -14/53
Suppose -8*o**5/7 + 96*o**4 - 14106*o**3/7 - 506*o**2/7 + 1536*o - 504 = 0. What is o?
-1, 1/2, 42
Determine n, given that 12*n**4/11 + 102*n**3/11 + 126*n**2/11 - 6*n/11 - 42/11 = 0.
-7, -1, 1/2
Determine i so that -3*i**5 + 33*i**4 - 69*i**3 - 33*i**2 + 72*i = 0.
-1, 0, 1, 3, 8
Factor -n**4/3 + 37*n**3/3 + 308*n**2/3.
-n**2*(n - 44)*(n + 7)/3
Solve -l**5/2 - 2*l**4 - 3*l**3/2 = 0.
-3, -1, 0
Factor -2*w**3/15 - 74*w**2/15 - 388*w/15 - 496/15.
-2*(w + 2)*(w + 4)*(w + 31)/15
Factor 6*h**3 + 120*h**2/7 + 114*h/7 + 36/7.
6*(h + 1)**2*(7*h + 6)/7
Determine a so that 6*a**3/7 + 117*a**2/7 + 165*a/7 + 54/7 = 0.
-18, -1, -1/2
Factor 4*p**4 + 28*p**3 - 36*p**2 - 28*p + 32.
4*(p - 1)**2*(p + 1)*(p + 8)
Factor 50*o**4 + 90*o**3 + 48*o**2 + 8*o.
2*o*(o + 1)*(5*o + 2)**2
Factor 2*q**4/7 + 240*q**3/7 + 9348*q**2/7 + 107584*q/7 - 413526/7.
2*(q - 3)*(q + 41)**3/7
Factor 9*o**4/5 + 42*o**3/5 + 64*o**2/5 + 32*o/5.
o*(o + 2)*(3*o + 4)**2/5
Find u, given that -u**3/5 + 238*u**2/5 = 0.
0, 238
Determine c, given that c**2/2 + 45*c + 2025/2 = 0.
-45
Let 4*j**2 - 1932*j = 0. What is j?
0, 483
Solve 9*h**5 - 561*h**4 - 3495*h**3 + 1785*h**2 + 3486*h - 1224 = 0.
-6, -1, 1/3, 1, 68
Factor -2*a**2 + 764*a - 72962.
-2*(a - 191)**2
Factor 2*p**2/5 + 466*p/5 - 2868/5.
2*(p - 6)*(p + 239)/5
Suppose -t**2/9 - t/9 = 0. Calculate t.
-1, 0
Factor 3*s**2 - 120*s + 1200.
3*(s - 20)**2
Let -10*z**2/7 - 416*z/21 + 8/3 = 0. Calculate z.
-14, 2/15
Solve -48*s**5 - 160*s**4 - 532*s**3/3 - 244*s**2/3 - 40*s/3 = 0 for s.
-5/3, -2/3, -1/2, 0
Factor 2*s**3/19 - 1458*s**2/19 - 2922*s/19 - 1462/19.
2*(s - 731)*(s + 1)**2/19
Factor -u**2/5 - 19*u/5.
-u*(u + 19)/5
Factor -3*q**4 - 66*q**3 + 1365*q**2 - 5292*q.
-3*q*(q - 7)**2*(q + 36)
Factor o**3 + 149*o**2 + 583*o + 435.
(o + 1)*(o + 3)*(o + 145)
Determine v so that -15*v**4 - 24*v**3 + 237*v**2 - 90*v = 0.
-5, 0, 2/5, 3
Factor 3*u**5 - 18*u**4 + 33*u**3 - 18*u**2.
3*u**2*(u - 3)*(u - 2)*(u - 1)
Factor 5*i**4 - 20*i**3 + 20*i**2.
5*i**2*(i - 2)**2
Factor -4*c**4/3 + 20*c**3/3 - 28*c**2/3 + 4*c.
-4*c*(c - 3)*(c - 1)**2/3
Factor 4*p**5 - 192*p**4 - 612*p**3.
4*p**3*(p - 51)*(p + 3)
Suppose 2*h**4/5 + 26*h**3 - 2*h**2/5 - 26*h = 0. Calculate h.
-65, -1, 0, 1
Solve -q**3 - 23*q**2 - 80*q - 76 = 0 for q.
-19, -2
Suppose 32*d**5/11 + 16*d**4 + 210*d**3/11 + 74*d**2/11 + 8*d/11 = 0. What is d?
-4, -1, -1/4, 0
Factor -b**3 - 55*b**2 - 783*b - 729.
-(b + 1)*(b + 27)**2
Factor -2*p**2/11 + 356*p/11 - 64.
-2*(p - 176)*(p - 2)/11
Solve 12*s**5 - 359*s**4/3 - 1240*s**3 + 3949*s**2/3 + 106*s - 224/3 = 0 for s.
-7, -1/4, 2/9, 1, 16
Factor -2*v**4/7 - 12*v**3/7 - 10*v**2/7 + 24*v/7.
-2*v*(v - 1)*(v + 3)*(v + 4)/7
Factor -5*q**4 + 40*q**3 - 75*q**2 - 20*q + 100.
-5*(q - 5)*(q - 2)**2*(q + 1)
Factor 3*x**2 - 33396*x + 92941068.
3*(x - 5566)**2
Factor a**4/4 - 3*a**3/2 - 27*a**2/4 - a + 9.
(a - 9)*(a - 1)*(a + 2)**2/4
Find a such that -a**2/2 - 13*a/2 - 20 = 0.
-8, -5
What is i in 3*i**2 - 2202*i = 0?
0, 734
Find n such that -55*n**2 + 180*n - 140 = 0.
14/11, 2
Determine a so that -2*a**5 - 32*a**4 + 34*a**3 = 0.
-17, 0, 1
Determine d, given that -98*d**3 + 5922*d**2 + 3408*d + 488 = 0.
-2/7, 61
Factor 4*g**2 - 68*g + 168.
4*(g - 14)*(g - 3)
Factor -4*v**2 - 776*v + 780.
-4*(v - 1)*(v + 195)
Factor 5*y**2 + 70*y + 65.
5*(y + 1)*(y + 13)
Let -z**2/2 - 30*z + 1232 = 0. What is z?
-88, 28
Factor 147*s**4 - 231*s**3 - 198*s**2 + 156*s - 24.
3*(s - 2)*(s + 1)*(7*s - 2)**2
Determine q so that 14*q**4 + 102*q**3 - 84*q**2 - 32*q = 0.
-8, -2/7, 0, 1
Let 20*f**5 + 1165*f**4 + 2450*f**3 - 4100*f**2 - 10120*f - 2240 = 0. What is f?
-56, -2, -1/4, 2
Factor -14*x**3 + 186*x**2 - 360*x + 88.
-2*(x - 11)*(x - 2)*(7*x - 2)
Solve -6*h**4 + 4*h**3 + 6*h**2 - 4*h = 0 for h.
-1, 0, 2/3, 1
Factor 3*y**2 - 522*y + 519.
3*(y - 173)*(y - 1)
Determine o, given that -o**3/2 + 12*o**2 - 22*o = 0.
0, 2, 22
Solve -n**4/2 - 9*n**3 - 113*n**2/2 - 138*n - 90 = 0.
-6, -5, -1
Let 5*h**3/3 - 160*h**2/3 + 275*h - 390 = 0. What is h?
3, 26
Let 2*a**5/13 - 32*a**4/13 + 12*a**3/13 + 248*a**2/13 + 322*a/13 + 120/13 = 0. Calculate a.
-1, 4, 15
Solve -4*i**5 + 20*i**4 - 28*i**3 - 4*i**2 + 32*i - 16 = 0 for i.
-1, 1, 2
Factor 5*s**4 + 55*s**3 + 10*s**2 - 460*s - 600.
5*(s - 3)*(s + 2)**2*(s + 10)
Factor 2*r**2/3 + 416*r/3 - 3010/3.
2*(r - 7)*(r + 215)/3
Factor -5*z**2 - 305*z.
-5*z*(z + 61)
Suppose -5*y**4 - 240*y**3 - 1845*y**2 + 2090*y = 0. Calculate y.
-38, -11, 0, 1
What is v in -v**2 - 2332*v + 2333 = 0?
-2333, 1
Solve -3*c**5/2 - 11*c**4/2 - 15*c**3/2 - 9*c**2/2 - c = 0.
-1, -2/3, 0
Let -3*r**2/5 + 9*r/5 + 6 = 0. Calculate r.
-2, 5
Find t such that -4*t**5 + 4*t**4 + 16*t**3 - 16*t**2 = 0.
-2, 0, 1, 2
Factor 3*c**5 - 12*c**4 + 3*c**3 + 30*c**2 - 12*c - 24.
3*(c - 2)**3*(c + 1)**2
What is v in -2*v**4/7 + 4*v**3/7 + 18*v**2/7 - 36*v/7 = 0?
-3, 0, 2, 3
Let 5*g**4/7 - 62*g**3/7 + 139*g**2/7 + 134*g/7 - 72/7 = 0. Calculate g.
-1, 2/5, 4, 9
Find g such that g**4/4 - 3*g**3/2 - 17*g**2 + 75*g/2 - 77/4 = 0.
-7, 1, 11
Solve 2*u**3/3 - 2758*u**2/3 + 316480*u + 317400 = 0.
-1, 690
Factor 2*n**2/3 + 10*n/3 + 8/3.
2*(n + 1)*(n + 4)/3
Find a such that 5*a**2 - 15*a - 90 = 0.
-3, 6
Find c, given that -2*c**4 + 136*c**3/7 + 194*c**2/7 + 44*c/7 = 0.
-1, -2/7, 0, 11
Solve 4695*c**2 + 4705*c + 10 = 0.
-1, -2/939
Factor -l**2/2 + 185*l + 371/2.
-(l - 371)*(l + 1)/2
Factor 2*h**2/5 - 394*h/5.
2*h*(h - 197)/5
Factor 5*p**2 - 45*p + 100.
5*(p - 5)*(p - 4)
Find y, given that 2*y**2/7 - 964*y/7 + 116162/7 = 0.
241
Find q, given that 2*q**3 - 22*q**2 + 70*q - 50 = 0.
1, 5
Factor -2*a**5 + 8*a**4 + 22*a**3 + 12*a**2.
-2*a**2*(a - 6)*(a + 1)**2
Factor 4*z**3 - 32*z**2 + 28*z.
4*z*(z - 7)*(z - 1)
Solve 4*n**2 + 744*n + 34596 = 0.
-93
Let u**2 + 642*u + 103041 = 0. Calculate u.
-321
Factor 3*b**2/7 + 423*b - 2964/7.
3*(b - 1)*(b + 988)/7
Suppose k**3 + 336*k**2 - 1015*k + 678 = 0. What is k?
-339, 1, 2
Solve -4*o**3 - 64*o**2 + 76*o + 136 = 0 for o.
-17, -1, 2
Determine f, given that 7*f**4/4 - 5*f**3 + 11*f**2/4 + f/2 = 0.
-1/7, 0, 1, 2
Suppose -4*n**4 + 32*n**3 + 132*n**2 - 560*n + 400 = 0. Calculate n.
-5, 1, 2, 10
Determine u, given that -3*u**4/8 + 9*u**3/4 + 3*u**2/8 - 9*u/4 = 0.
-1, 0, 1, 6
Find g such that -2*g**2 - 150*g + 152 = 0.
-76, 1
Factor -2*b**4 + 144*b**3 - 2584*b**2 - 576*b + 10368.
-2*(b - 36)**2*(b - 2)*(b + 2)
Determine y, given that -48*y**5 + 24*y**4 + 189*y**3 - 96*y**2 + 12*y = 0.
-2, 0, 1/4, 2
Let 6*t**5/13 - 82*t**4/13 + 340*t**3/13 - 408*t**2/13 + 144*t/13 = 0. Calculate t.
0, 2/3, 1, 6
Solve 2*g**3/5 - 188*g**2/5 + 1546*g/5 - 272 = 0.
1, 8, 85
Factor 5*z**5 + 50*z**4 + 125*z**3 - 100*z**2 - 400*z + 320.
5*(z - 1)**2*(z + 4)**3
Factor 2*z**4/7 + 16*z**3/7 + 40*z**2/7 + 32*z/7.
2*z*(z + 2)**2*(z + 4)/7
Determine h, given that 4*h**3/5 + 56*h**2/5 + 96*h/5 = 0.
-12, -2, 0
Factor -3*a**5 + 861*a**4 - 62205*a**3 + 61347*a**2.
-3*a**2*(a - 143)**2*(a - 1)
Factor -2*l**4/17 - 44*l**3/17 - 210*l**2/17.
-2*l**2*(l + 7)*(l + 15)/17
Find j, given that -4*j**3 - 208*j**2 + 428*j - 216 = 0.
-54, 1
Factor -5*z**5 - 20*z**4 - 20*z**3 + 10*z**2 + 25*z + 10.
-5*(z - 1)*(z + 1)**3*(z + 2)
Suppose -4*q**5 - 16*q**4 - 24*q**3 - 16*q**2 - 4*q = 0. Calculate q.
-1, 0
Factor u**3/4 - 3*u**2 - 13*u/4.
u*(u - 13)*(u + 1)/4
Suppose -2*q**5/11 - 6*q**4/11 + 38*q**3/11 + 86*q**2/11 - 36*q/11 - 80/11 = 0. What is q?
-5, -2, -1, 1, 4
Let -5*z**5 - 145*z**4 - 1120*z**3 - 980*z**2 = 0. What is z?
-14, -1, 0
Factor -15*g**3 - 471*g**2 - 3552*g + 2304.
-3*(g + 16)**2*(5*g - 3)
Solve 2*f**4/3 + 8*f**3 + 74*f**2/3 + 28*f + 32/3 = 0.
-8, -2, -1
Factor 4*f**3/5 - 96*f**2/5 - 10