)**2*(c + 14)
Find p such that 84*p**2 + 424*p - 480 = 0.
-6, 20/21
Suppose 2*r**2/9 - 10*r/3 + 8 = 0. Calculate r.
3, 12
Factor -2*q**3/11 - 1052*q**2 + 23150*q/11 - 11576/11.
-2*(q - 1)**2*(q + 5788)/11
Find k, given that -48*k**4 + 356*k**3/3 - 96*k**2 + 28*k - 8/3 = 0.
2/9, 1/4, 1
Factor 5*j**2 + 305*j + 1140.
5*(j + 4)*(j + 57)
Let 7*k**2/3 - 45*k + 38/3 = 0. What is k?
2/7, 19
Factor -4*q**2 - 660*q - 2576.
-4*(q + 4)*(q + 161)
Find x such that -5*x**5 + 10*x**4 + 45*x**3 - 110*x**2 - 20*x + 120 = 0.
-3, -1, 2
Factor -5*o**2/4 + 70*o.
-5*o*(o - 56)/4
What is j in -5965*j**2 - 10*j = 0?
-2/1193, 0
Determine c so that -4*c**5/9 + 344*c**4/9 - 5488*c**3/9 + 2984*c**2 - 2412*c = 0.
0, 1, 9, 67
Factor -2*f**2/9 - 16*f/9.
-2*f*(f + 8)/9
Factor -4*q**4/3 - 80*q**3/3 - 400*q**2/3.
-4*q**2*(q + 10)**2/3
What is h in -h**3/3 + 26*h**2 - 77*h/3 = 0?
0, 1, 77
Factor 40*s**3 - 215*s**2 - 485*s + 210.
5*(s - 7)*(s + 2)*(8*s - 3)
What is j in 3*j**2/5 + 231*j/5 - 234/5 = 0?
-78, 1
Let 2*h**4/5 + 58*h**3/5 - 122*h**2/5 + 62*h/5 = 0. Calculate h.
-31, 0, 1
Factor -2*c**3 + 214*c**2 - 5830*c + 5618.
-2*(c - 53)**2*(c - 1)
What is s in 20*s**4 + 75*s**3 + 60*s**2 - 20*s = 0?
-2, 0, 1/4
Let 9*v**4/2 + 73*v**3 - 326*v**2 + 284*v + 80 = 0. What is v?
-20, -2/9, 2
Factor -3*p**3 + 480*p**2 - 18711*p - 39366.
-3*(p - 81)**2*(p + 2)
Let 4*s**5 - 32*s**4 - 40*s**3 + 32*s**2 + 36*s = 0. What is s?
-1, 0, 1, 9
Factor -w**3/2 + 4*w**2 + 9*w/2.
-w*(w - 9)*(w + 1)/2
Let -120*m**2 + 471*m/2 + 9 = 0. What is m?
-3/80, 2
Solve -4*n**2/5 - 8*n - 64/5 = 0.
-8, -2
Find h, given that -h**4 - 82*h**3 - 389*h**2 - 308*h = 0.
-77, -4, -1, 0
Solve 6*f**5 - 14*f**4 - 14*f**3 + 30*f**2 + 16*f - 8 = 0 for f.
-1, 1/3, 2
Factor 2*s**3/11 + 1526*s**2/11 + 291846*s/11 + 290322/11.
2*(s + 1)*(s + 381)**2/11
Factor k**2/9 - 7*k/9.
k*(k - 7)/9
Factor 9*f**3 + 173*f**2 + 38*f.
f*(f + 19)*(9*f + 2)
Factor -2*o**4 - 50*o**3 - 36*o**2 + 288*o.
-2*o*(o - 2)*(o + 3)*(o + 24)
Factor -u**3/4 - 5349*u**2/4 - 9537267*u/4 - 5668315687/4.
-(u + 1783)**3/4
Factor 2*c**5/11 - 8*c**4/11 + 10*c**3/11 - 4*c**2/11.
2*c**2*(c - 2)*(c - 1)**2/11
Factor -g**2/2 - 106*g.
-g*(g + 212)/2
Let -9*f**5/8 - 39*f**4/8 + 51*f**3/4 + 15*f**2/2 - 9*f = 0. What is f?
-6, -1, 0, 2/3, 2
Factor -3*g**3/4 + 15*g**2/4 + 18*g.
-3*g*(g - 8)*(g + 3)/4
Factor d**3/3 + 53*d**2/3 + 322*d/3.
d*(d + 7)*(d + 46)/3
Find q such that 2*q**5/19 - 10*q**4/19 - 66*q**3/19 + 90*q**2/19 + 432*q/19 = 0.
-3, 0, 3, 8
Factor 3*n**2 - 9*n/2 - 3.
3*(n - 2)*(2*n + 1)/2
Determine t so that -3*t**4 - 876*t**3 - 2601*t**2 + 12*t + 3468 = 0.
-289, -2, 1
Find l such that -4*l**2/5 + 704*l/5 - 30976/5 = 0.
88
Factor -4*x**3 + 4292*x**2 + 8600*x.
-4*x*(x - 1075)*(x + 2)
Let -w**4 - 31*w**3 - 255*w**2 - 225*w = 0. What is w?
-15, -1, 0
Factor d**3 - 14*d**2 - 72*d.
d*(d - 18)*(d + 4)
Factor -a**3/4 + 51*a**2/4 - 73*a/2 + 24.
-(a - 48)*(a - 2)*(a - 1)/4
Suppose -7*c**4/2 - 37*c**3 = 0. Calculate c.
-74/7, 0
Factor -2*z**2 + 40*z - 200.
-2*(z - 10)**2
Find s, given that -3*s**2/7 + 78*s/7 = 0.
0, 26
Suppose 50*b**5/11 + 25110*b**4/11 + 3155038*b**3/11 + 55814*b**2 - 2012016*b/11 + 504008/11 = 0. Calculate b.
-251, -1, 2/5
Factor q**3/5 + 53*q**2/5 + 102*q/5.
q*(q + 2)*(q + 51)/5
Suppose -5*c**4 + 185*c**3 + 190*c**2 = 0. What is c?
-1, 0, 38
Find h such that 2*h**3/11 - 6*h**2/11 - 4*h + 48/11 = 0.
-4, 1, 6
Factor -c**4/4 - 7*c**3/4 - 3*c**2 + c + 4.
-(c - 1)*(c + 2)**2*(c + 4)/4
Suppose -2*r**2/3 - 86*r/3 - 28 = 0. Calculate r.
-42, -1
Find l such that l**5/9 - 5*l**4/3 - 31*l**3/3 - 137*l**2/9 - 20*l/3 = 0.
-3, -1, 0, 20
Suppose -5*x**3 + 30*x**2 - 25*x = 0. Calculate x.
0, 1, 5
Suppose -8*k**4 - 44*k**3 + 32*k**2 + 44*k - 24 = 0. Calculate k.
-6, -1, 1/2, 1
Factor 2*w**4/5 + w**3/5 - 36*w**2/5 - 27*w/5 + 108/5.
(w - 4)*(w + 3)**2*(2*w - 3)/5
Factor -j**5/8 + 13*j**4/8 - 3*j**3/2.
-j**3*(j - 12)*(j - 1)/8
Let 2*v**2 - 790*v + 4668 = 0. Calculate v.
6, 389
Solve 5*f**5 + 40*f**4 + 105*f**3 + 70*f**2 - 100*f - 120 = 0 for f.
-3, -2, 1
What is n in n**3 - n**2 = 0?
0, 1
Let -5*p**2 - 300*p - 1855 = 0. What is p?
-53, -7
Find r such that -r**3/3 - 269*r**2/3 - 5985*r + 6075 = 0.
-135, 1
Factor -h**4/6 - 2*h**3 - 5*h**2 - 14*h/3 - 3/2.
-(h + 1)**3*(h + 9)/6
Solve 4*p**3 - 12*p**2 + 12*p - 4 = 0 for p.
1
Determine l, given that 2*l**4/13 + 20*l**3/13 + 32*l**2/13 = 0.
-8, -2, 0
Determine p, given that -405*p**3 + 75960*p**2 + 33820*p + 3760 = 0.
-2/9, 188
Suppose -2*s**4 - 228*s**3 - 670*s**2 - 444*s = 0. What is s?
-111, -2, -1, 0
Let -2*u**3/5 - 6*u**2 - 72*u/5 = 0. What is u?
-12, -3, 0
What is r in -5*r**2 - 1005*r + 1010 = 0?
-202, 1
Factor -u**3/5 + 51*u**2/5 - 867*u/5 + 4913/5.
-(u - 17)**3/5
Factor 3*a**2 - 18*a - 120.
3*(a - 10)*(a + 4)
Solve 2*i**2/7 - 130*i/7 - 268/7 = 0.
-2, 67
Suppose -14*z**5 - 122*z**4 + 260*z**3 + 776*z**2 - 240*z = 0. What is z?
-10, -2, 0, 2/7, 3
What is r in r**5/3 + 2*r**4/3 - 16*r**3/3 - 2*r**2/3 + 5*r = 0?
-5, -1, 0, 1, 3
Factor -2*y**2/7 - 4*y/7 + 30/7.
-2*(y - 3)*(y + 5)/7
Find z, given that 2*z**3 - 80*z**2 + 544*z - 1024 = 0.
4, 32
Find n, given that -3*n**4 - 174*n**3 + 561*n**2 + 732*n = 0.
-61, -1, 0, 4
Determine x, given that 3*x**5 + 6*x**4 - 3*x**3 - 6*x**2 = 0.
-2, -1, 0, 1
What is r in -2*r**4 + 10*r**3 - 40*r + 32 = 0?
-2, 1, 2, 4
Find y such that 5*y**3/2 + 125*y**2/2 + 435*y/2 + 315/2 = 0.
-21, -3, -1
Suppose -4*n**4 - 248*n**3 - 3844*n**2 = 0. Calculate n.
-31, 0
Suppose d**2/8 - 122*d + 29768 = 0. Calculate d.
488
Let 3*s**5/2 - 14*s**4 + 67*s**3/2 - 19*s**2 - 14*s + 12 = 0. What is s?
-2/3, 1, 2, 6
Find g, given that 4*g**3 - 1732*g**2 - 4*g + 1732 = 0.
-1, 1, 433
Determine f so that -4*f**4 + 120*f**3 - 500*f**2 = 0.
0, 5, 25
Factor -4*i**5/7 + 28*i**4 - 744*i**3/7 + 1096*i**2/7 - 724*i/7 + 180/7.
-4*(i - 45)*(i - 1)**4/7
Factor -3*p**2 - 24*p + 99.
-3*(p - 3)*(p + 11)
Find z such that -32*z**5/3 + 482*z**4/3 - 682*z**3 + 1694*z**2/3 - 98*z/3 = 0.
0, 1/16, 1, 7
Solve 3*c**3 - 216*c**2/7 + 249*c/7 - 54/7 = 0 for c.
2/7, 1, 9
Let -2*r**3/5 + 8*r**2/5 - 2*r/5 - 12/5 = 0. Calculate r.
-1, 2, 3
Solve 6*q**3/5 + 6*q**2/5 - 36*q = 0.
-6, 0, 5
Factor -3*i**4 + 18*i**3 + 27*i**2 - 42*i.
-3*i*(i - 7)*(i - 1)*(i + 2)
Factor -3*g**2/5 - 153*g/5 - 294/5.
-3*(g + 2)*(g + 49)/5
Find g, given that -305*g**2 + 11280*g + 185 = 0.
-1/61, 37
Factor -y**2 + 121*y - 238.
-(y - 119)*(y - 2)
Suppose -2*c**5 - 32*c**4 - 146*c**3 - 36*c**2 + 648*c - 432 = 0. What is c?
-6, 1
Factor -f**2/2 - 19*f/2 + 21.
-(f - 2)*(f + 21)/2
Suppose 15*p**2 - 23275*p + 15510 = 0. Calculate p.
2/3, 1551
Factor 2*h**2/9 - 34*h/9 - 76/9.
2*(h - 19)*(h + 2)/9
Determine v so that 2*v**3 - 60*v**2 - 2*v + 60 = 0.
-1, 1, 30
Suppose -3*j**5 - 36*j**4 - 150*j**3 - 264*j**2 - 207*j - 60 = 0. What is j?
-5, -4, -1
Factor 2*l**3 + 1446*l**2 + 260640*l - 262088.
2*(l - 1)*(l + 362)**2
Find o such that o**3/4 + 619*o**2/4 + 97319*o/4 + 471245/4 = 0.
-307, -5
Factor y**4/3 - 101*y**3/3 + 1119*y**2 - 13041*y + 21870.
(y - 45)*(y - 27)**2*(y - 2)/3
Factor w**5/5 - 2*w**4/5 - 3*w**3/5 + 4*w**2/5 + 4*w/5.
w*(w - 2)**2*(w + 1)**2/5
What is p in -3*p**2 - 33*p - 54 = 0?
-9, -2
Factor 4*z**2/3 - 320*z/3 - 448.
4*(z - 84)*(z + 4)/3
Factor 3*b**3/2 - 24*b**2 + 39*b/2 + 45.
3*(b - 15)*(b - 2)*(b + 1)/2
Factor 5*p**2 - 550*p.
5*p*(p - 110)
Find x such that 4*x**5 + 64*x**4 - 816*x**3 + 2024*x**2 - 1876*x + 600 = 0.
-25, 1, 6
Factor -4*d**3 + 3992*d**2 - 992000*d - 2000000.
-4*(d - 500)**2*(d + 2)
Suppose -j**3/2 - 22*j**2 + 47*j/2 + 45 = 0. Calculate j.
-45, -1, 2
Solve -2*d**5/7 + 2*d**4/7 + 66*d**3/7 - 2*d**2/7 - 184*d/7 - 120/7 = 0.
-5, -1, 2, 6
Determine k, given that -32*k**3/7 + 60*k**2/7 - 24*k/7 - 4/7 = 0.
-1/8, 1
Determine h so that 98*h**5/3 + 3388*h**4/3 + 2630*h**3 - 5720*h**2/3 - 4888*h/3 - 256 = 0.
-32, -3, -2/7, 1
Find o, given that -o**3/5 - 8*o**2/5 - 16*o/5 = 0.
-4, 0
Suppose -2*f**3/19 - 178*f**2/19 - 348*f/19 = 0. Calculate f.
-87, -2, 0
Determine h so that -h**3/5 - 128*h**2/5 - 4096*h/5 = 0.
-64, 0
Determine n, given that -3*n**3/7 + 3*n**2 - 12*n/7 - 36/7 = 0.
-1, 2, 6
Factor p**4/3 + 23*p**3/3 - 202*p**2/3 + 256*p/3 + 160.
(p - 4)**2*(p + 1)*(p + 30)/3
Factor p**4 - 20*p**3 + 84*p**2.
p**2*(p - 14)*(p - 6)
Let 3*s**2/4 + 225*s/4 + 1281/2 = 0. Wha