)/7
Factor -4*h**3 - 56*h**2 + 272*h - 288.
-4*(h - 2)**2*(h + 18)
Factor -2*y**2/7 + 304*y/7 - 11552/7.
-2*(y - 76)**2/7
Suppose 36*w**3 + 1716*w**2 + 1132*w + 188 = 0. Calculate w.
-47, -1/3
Factor 4*c**4/3 - 939*c**3 + 165440*c**2 - 123904*c/3.
c*(c - 352)**2*(4*c - 1)/3
Factor t**3 + t**2 - 14*t - 24.
(t - 4)*(t + 2)*(t + 3)
Solve 4*t**3 - 8*t**2 - 4*t + 8 = 0 for t.
-1, 1, 2
Let -d**4 - 15*d**3/7 + 47*d**2/7 - 3*d - 4/7 = 0. What is d?
-4, -1/7, 1
Factor -3*b**2 - 468*b.
-3*b*(b + 156)
Find p such that -2*p**3/15 - 4*p**2/5 - 8*p/5 - 16/15 = 0.
-2
Suppose 98*s**4/13 + 266*s**3/13 + 114*s**2/13 - 50*s/13 + 4/13 = 0. What is s?
-2, -1, 1/7
What is h in 2*h**2/5 - 30*h - 632/5 = 0?
-4, 79
Suppose -5*x**2 - 70*x - 165 = 0. Calculate x.
-11, -3
Factor 3*d**2/4 - 108*d + 3888.
3*(d - 72)**2/4
Find u such that 3*u**5/7 - 99*u**4/7 + 888*u**3/7 - 264*u**2/7 - 2160*u - 20400/7 = 0.
-2, 10, 17
Factor 2*r**3 - 8*r**2 - 56*r - 64.
2*(r - 8)*(r + 2)**2
Suppose -27*d**3 - 132*d**2 + 663*d - 72 = 0. Calculate d.
-8, 1/9, 3
Factor 2*u**3/23 + 196*u**2/23 - 2*u/23 - 196/23.
2*(u - 1)*(u + 1)*(u + 98)/23
Solve 3*z**5/4 - 3*z**4/4 - 45*z**3 - 81*z**2 = 0.
-6, -2, 0, 9
Factor 2*b**2/7 - 74*b/7 + 72/7.
2*(b - 36)*(b - 1)/7
Factor -2*f**5/5 + 12*f**3/5 - 16*f**2/5 + 6*f/5.
-2*f*(f - 1)**3*(f + 3)/5
Determine s so that -2*s**2/9 - 280*s = 0.
-1260, 0
Suppose 2*z**4/7 - 152*z**3/7 = 0. What is z?
0, 76
Factor -2*c**3/5 + 6*c**2/5 + 18*c/5 + 2.
-2*(c - 5)*(c + 1)**2/5
Factor -4*n**4 + 84*n**3 + 1172*n**2 + 2076*n + 992.
-4*(n - 31)*(n + 1)**2*(n + 8)
Find t such that 3*t**5/5 + 168*t**4/5 + 2316*t**3/5 - 2064*t**2/5 - 30912*t/5 - 37632/5 = 0.
-28, -2, 4
Solve -2*y**4 + 198*y**3 + 3750*y**2 - 8086*y + 4140 = 0 for y.
-18, 1, 115
Let -6*d**4/17 - 14*d**3/17 + 156*d**2/17 + 384*d/17 - 320/17 = 0. What is d?
-4, 2/3, 5
Determine y so that -4*y**5/9 - 14*y**4/9 - 14*y**3/9 - 4*y**2/9 = 0.
-2, -1, -1/2, 0
Solve 272*u**4/7 - 44*u**3 + 4*u**2 + 8*u/7 = 0.
-2/17, 0, 1/4, 1
Factor -2*z**2/13 + 3856*z/13 - 1858592/13.
-2*(z - 964)**2/13
Find d such that -d**3/5 + 7*d**2/5 = 0.
0, 7
Factor 294*m**3/5 - 364*m**2/5 + 136*m/5 - 16/5.
2*(3*m - 2)*(7*m - 2)**2/5
Solve 3*v**4/5 - 45*v**3 - 702*v**2/5 = 0 for v.
-3, 0, 78
Factor 5*b**3 - 35*b**2 - 50*b + 80.
5*(b - 8)*(b - 1)*(b + 2)
What is w in -w**5/3 - 8*w**4 - 54*w**3 - 176*w**2/3 + 121*w = 0?
-11, -3, 0, 1
Solve 10*a**4 - 1075*a**3 + 29670*a**2 - 41075*a - 28090 = 0.
-1/2, 2, 53
Factor -3*c**2 - 15*c + 42.
-3*(c - 2)*(c + 7)
Solve 3*c**2/5 + 528*c/5 + 105 = 0.
-175, -1
Find a such that -3*a**3/2 + 45*a**2/2 - 57*a + 36 = 0.
1, 2, 12
Let -2*v**2/9 - 52*v/9 - 80/3 = 0. Calculate v.
-20, -6
Let 9*m**3/2 - 165*m**2/2 + 159*m + 144 = 0. Calculate m.
-2/3, 3, 16
Determine g, given that 4*g**3 - 7304*g**2 + 14596*g - 7296 = 0.
1, 1824
Let -i**3/9 + i**2 - 5*i/3 + 7/9 = 0. Calculate i.
1, 7
Factor -o**4/6 + 43*o**3/6 - 391*o**2/6 - 529*o/2.
-o*(o - 23)**2*(o + 3)/6
Find q such that 25*q**4 - 840*q**3 + 6885*q**2 + 2890*q = 0.
-2/5, 0, 17
Factor -i**2/2 - 205*i/2 + 207.
-(i - 2)*(i + 207)/2
Suppose 4*r**4/7 - 824*r**3/7 + 43252*r**2/7 - 84048*r/7 + 41616/7 = 0. Calculate r.
1, 102
What is j in j**5/2 + 11*j**4/2 + 39*j**3/2 + 41*j**2/2 - 16*j - 30 = 0?
-5, -3, -2, 1
Factor -2*v**3/11 + 18*v**2/11 - 16*v/11.
-2*v*(v - 8)*(v - 1)/11
Factor -f**4 - 27*f**3 - 74*f**2 - 48*f.
-f*(f + 1)*(f + 2)*(f + 24)
What is p in -4*p**3/3 + 148*p**2/3 + 308*p/3 + 52 = 0?
-1, 39
Determine t, given that 7*t**4/2 - 117*t**3/2 - 41*t**2/2 + 117*t/2 + 17 = 0.
-1, -2/7, 1, 17
Factor 4*t**2/7 - 100*t/7 - 104/7.
4*(t - 26)*(t + 1)/7
Factor -2*l**5/5 + 2*l**4/5 + 4*l**3/5 - 4*l**2/5 - 2*l/5 + 2/5.
-2*(l - 1)**3*(l + 1)**2/5
Suppose -2*m**3/13 - 18*m**2/13 + 216/13 = 0. Calculate m.
-6, 3
Let -3*q**5 - 48*q**4 - 90*q**3 + 336*q**2 - 195*q = 0. What is q?
-13, -5, 0, 1
Factor -u**2/2 - 27*u + 56.
-(u - 2)*(u + 56)/2
Determine w so that -8*w**5 - 44*w**4 + 36*w**3 + 68*w**2 - 28*w - 24 = 0.
-6, -1, -1/2, 1
Determine w, given that 7*w**5/11 - 23*w**4/11 + 20*w**3/11 - 4*w**2/11 = 0.
0, 2/7, 1, 2
What is m in -2*m**3 - 18*m**2 - 16*m = 0?
-8, -1, 0
Find t such that -2*t**3 - 6*t**2 + 90*t - 162 = 0.
-9, 3
Factor -x**3/8 - 217*x**2/8 - 27*x.
-x*(x + 1)*(x + 216)/8
Solve -h**4/2 + 643*h**3/4 - 69015*h**2/4 + 2484433*h/4 - 1225043/4 = 0.
1/2, 107
Suppose -7921*i**2/4 + 534*i - 36 = 0. What is i?
12/89
Solve -3*l**4 - 183*l**3 - 3096*l**2 - 15984*l = 0 for l.
-37, -12, 0
Suppose -2*c**5 - 18*c**4 + 12*c**3 + 92*c**2 - 138*c + 54 = 0. What is c?
-9, -3, 1
Solve 5*f**3 + 50*f**2 - 115*f + 60 = 0 for f.
-12, 1
Find g, given that -2*g**5/13 - 12*g**4/13 - 10*g**3/13 + 40*g**2/13 + 72*g/13 + 32/13 = 0.
-4, -2, -1, 2
Find g, given that 2*g**2/11 + 200*g/11 + 5000/11 = 0.
-50
Factor -c**3/2 - 87*c**2/2 - 2523*c/2 - 24389/2.
-(c + 29)**3/2
What is l in -5*l**2 - 5820*l = 0?
-1164, 0
Suppose -7*b**3/4 - 55*b**2/2 + 148*b - 40 = 0. What is b?
-20, 2/7, 4
Factor -5*b**3 - 375*b**2 - 2760*b - 5360.
-5*(b + 4)**2*(b + 67)
Factor -2*l**2/13 - 556*l/13 - 38642/13.
-2*(l + 139)**2/13
Let -4*b**3 - 212*b**2 - 412*b - 204 = 0. What is b?
-51, -1
Factor i**4 - 5*i**3/3 - 11*i**2/9 + 11*i/9 - 2/9.
(i - 2)*(i + 1)*(3*i - 1)**2/9
Let -k**2/5 + 5802*k/5 - 8415801/5 = 0. Calculate k.
2901
Suppose 2*q**2/11 - 21988*q/11 + 60434018/11 = 0. Calculate q.
5497
Factor 30*n**3 - 665*n**2 + 745*n - 210.
5*(n - 21)*(2*n - 1)*(3*n - 2)
Determine s so that 2*s**3 + 104*s**2 + 102*s = 0.
-51, -1, 0
Solve -a**4 - 63*a**3 + 265*a**2 - 201*a = 0.
-67, 0, 1, 3
Factor -5*y**2 - 60*y + 320.
-5*(y - 4)*(y + 16)
Find j, given that 2*j**3/13 + 82*j**2/13 + 798*j/13 - 882/13 = 0.
-21, 1
Factor t**2/7 - 62*t - 435/7.
(t - 435)*(t + 1)/7
Let 10*x**2 + 7395*x - 3700 = 0. Calculate x.
-740, 1/2
Factor 4*g**4/9 + 20*g**3/9.
4*g**3*(g + 5)/9
Factor 4*z**2 + 36*z - 88.
4*(z - 2)*(z + 11)
Factor -c**3 + 6*c**2 - 5*c.
-c*(c - 5)*(c - 1)
Let 3*k**3 - 18*k**2 - 108*k - 120 = 0. Calculate k.
-2, 10
Let 15*q**2 - 1263*q - 1020 = 0. What is q?
-4/5, 85
Factor -3*x**3/4 + 1029*x**2/2 - 352947*x/4.
-3*x*(x - 343)**2/4
Determine i, given that -2*i**4/3 - 4*i**3/3 + 10*i**2 + 24*i = 0.
-3, 0, 4
Suppose -962*o**3/9 + 640*o**2/3 - 106*o - 4/9 = 0. What is o?
-2/481, 1
Factor -x**3/2 + 6*x**2 + 15*x/2 - 13.
-(x - 13)*(x - 1)*(x + 2)/2
Factor -o**2 - 310*o - 24025.
-(o + 155)**2
Determine l, given that -l**5 - 7*l**4 - 16*l**3 - 12*l**2 = 0.
-3, -2, 0
Suppose -2*b**4/17 + 80*b**3/17 + 258*b**2/17 = 0. Calculate b.
-3, 0, 43
Determine v so that -v**3/4 - 7*v**2/4 - 5*v/2 = 0.
-5, -2, 0
Factor 5*d**2 - 485*d.
5*d*(d - 97)
Suppose -c**2 - 90*c = 0. What is c?
-90, 0
Let -f**4/5 - 401*f**3/5 - 39997*f**2/5 + 8241*f + 80802/5 = 0. What is f?
-201, -1, 2
Let 20*g**2 + 5768*g + 2304 = 0. Calculate g.
-288, -2/5
Factor -6*u**4 + 51*u**3 - 15*u**2 - 72*u.
-3*u*(u - 8)*(u + 1)*(2*u - 3)
Factor -3*c**3/5 + 61*c**2/5 - 77*c/5 + 19/5.
-(c - 19)*(c - 1)*(3*c - 1)/5
Factor -4*c**2 + 2992*c - 559504.
-4*(c - 374)**2
Let -2*c**5 - 70*c**4 - 710*c**3 - 2730*c**2 - 3600*c - 1512 = 0. Calculate c.
-21, -6, -1
Factor -2*w**2/7 - 2*w/7 + 120.
-2*(w - 20)*(w + 21)/7
Suppose -y**5/2 - 9*y**4/2 - 19*y**3/2 + 21*y**2/2 + 28*y - 24 = 0. Calculate y.
-4, -3, 1
Find r, given that 9*r**5/5 - 124*r**4/5 + 52*r**3 + 1216*r**2/5 + 256*r/5 = 0.
-2, -2/9, 0, 8
Factor -2*k**5 + 16*k**4 + 144*k**3 + 320*k**2 + 224*k.
-2*k*(k - 14)*(k + 2)**3
Determine h so that -2*h**4 - 16*h**3 - 34*h**2 - 20*h = 0.
-5, -2, -1, 0
Suppose -157922*d**3 + 164666*d**2 - 6816*d + 72 = 0. What is d?
6/281, 1
Factor -56*q**2/5 - 86*q/5 - 4.
-2*(4*q + 5)*(7*q + 2)/5
Factor 2*m**3/7 - 2*m**2 + 8*m/7 + 24/7.
2*(m - 6)*(m - 2)*(m + 1)/7
Suppose -2*t**5 + 92*t**4 + 948*t**3 + 2272*t**2 + 2078*t + 660 = 0. What is t?
-6, -1, 55
Find n, given that -8*n**4/5 + 106*n**3/5 - 108*n**2/5 - 144*n/5 = 0.
-3/4, 0, 2, 12
Suppose -138*q**5/17 + 964*q**4/17 - 2056*q**3/17 + 1212*q**2/17 + 18*q/17 = 0. Calculate q.
-1/69, 0, 1, 3
Factor -h**2/4 - 11*h/4 - 5/2.
-(h + 1)*(h + 10)/4
Factor -150*d**4 + 170*d**3 - 64*d**2 + 8*d.
-2*d*(3*d - 1)*(5*d - 2)**2
Let 128*c**3/15 + 3616*c**2 + 510760*c + 72144850/3 = 0. What is c?
-565/4
Factor 4*j**5 - 28*j**4 + 20*j**3 + 28*j**2 - 24*j.
4*j*(j - 6)*(j - 1)**2*(j + 1)
Fa