7.
-2*(t + 59)**2*(3*t + 2)**2/17
Factor 3*v**4 - 21*v**3 + 45*v**2 - 39*v + 12.
3*(v - 4)*(v - 1)**3
Factor -2*r**3/15 - 2*r**2/3 - 14*r/15 - 2/5.
-2*(r + 1)**2*(r + 3)/15
Suppose -5*x**4 + 55*x**2 + 90*x + 40 = 0. Calculate x.
-2, -1, 4
Factor 2*t**3/3 - 114*t**2 + 4816*t + 14792/3.
2*(t - 86)**2*(t + 1)/3
Factor -d**3/8 + 5*d**2/4 - 7*d/2 + 3.
-(d - 6)*(d - 2)**2/8
Factor -r**2/2 - 45*r - 89/2.
-(r + 1)*(r + 89)/2
Factor -45*j**3 - 330*j**2 - 380*j - 120.
-5*(j + 6)*(3*j + 2)**2
Determine z so that z**4 - 74*z**3 + 215*z**2 - 142*z = 0.
0, 1, 2, 71
Factor -2*x**4 - 18*x**3 - 46*x**2 - 30*x.
-2*x*(x + 1)*(x + 3)*(x + 5)
Factor -39605*k**2 - 2670*k - 45.
-5*(89*k + 3)**2
Factor 5*i**3/6 + 20*i**2/3 - 50*i/3.
5*i*(i - 2)*(i + 10)/6
Solve q**2/7 + 78*q/7 - 160/7 = 0 for q.
-80, 2
Factor -2*a**5 + 96*a**4 - 1152*a**3.
-2*a**3*(a - 24)**2
Factor 2*j**2/11 - 8*j + 936/11.
2*(j - 26)*(j - 18)/11
Find i, given that 4*i**2 - 124*i - 264 = 0.
-2, 33
Determine f, given that 5*f**3 + 125*f**2 + 560*f - 2940 = 0.
-14, 3
Solve -j**2/3 - 292*j/3 - 289 = 0 for j.
-289, -3
Factor 3*z**3 - 96*z**2 + 693*z.
3*z*(z - 21)*(z - 11)
Determine c so that 20*c**5 - 128*c**4 - 432*c**3 - 328*c**2 + 28*c + 72 = 0.
-1, 2/5, 9
Factor 5*m**2 + 9910*m + 4910405.
5*(m + 991)**2
Solve -5*j**5 - 155*j**4 - 735*j**3 + 7515*j**2 - 6480*j - 14580 = 0.
-18, -1, 3
Factor -4*a**5/5 + 16*a**4/5 + 44*a**3/5 + 24*a**2/5.
-4*a**2*(a - 6)*(a + 1)**2/5
Factor 6*z**2 + 3758*z/3 - 836/3.
2*(z + 209)*(9*z - 2)/3
Factor 2*y**3 - 6*y**2 - 20*y.
2*y*(y - 5)*(y + 2)
Determine h, given that -2*h**2/9 + 16*h/3 + 680/9 = 0.
-10, 34
Suppose 2*g**3/5 - 116*g**2/5 + 1976*g/5 - 8112/5 = 0. Calculate g.
6, 26
Find c such that 3*c**3 + 9*c**2 + 9*c + 3 = 0.
-1
Determine o, given that -6*o**3 + 38*o**2 - 66*o + 18 = 0.
1/3, 3
Factor 2*h**2/7 - 82*h/7 - 112.
2*(h - 49)*(h + 8)/7
Determine t, given that -2*t**5/11 + 8*t**3/11 + 4*t**2/11 - 6*t/11 - 4/11 = 0.
-1, 1, 2
Find y such that 3*y**4/8 + 3*y**3/4 - 3*y/4 - 3/8 = 0.
-1, 1
Let 2*i**4 + 8*i**3 - 32*i**2 - 32*i + 96 = 0. What is i?
-6, -2, 2
Find i such that -i**4/9 - 4*i**3/9 + 7*i**2/3 = 0.
-7, 0, 3
What is b in -2*b**3/11 + 14*b**2/11 - 30*b/11 + 18/11 = 0?
1, 3
Solve -4*o**2 - 152*o + 672 = 0 for o.
-42, 4
Suppose -8*o**5/3 - 20*o**4/3 + 20*o**2/3 + 8*o/3 = 0. Calculate o.
-2, -1, -1/2, 0, 1
Let -2*x**4 + 133*x**3/2 - 897*x**2/2 - 1836*x + 486 = 0. Calculate x.
-3, 1/4, 18
Factor 2*m**4/9 + 688*m**3/9 - 1384*m**2/9.
2*m**2*(m - 2)*(m + 346)/9
Factor 5*v**2 - 255*v - 1400.
5*(v - 56)*(v + 5)
Factor 162*v**5/5 - 126*v**4 + 190*v**3 - 138*v**2 + 48*v - 32/5.
2*(v - 1)**3*(9*v - 4)**2/5
Find c, given that -3*c**3/5 - 78*c**2/5 + 348*c/5 - 72 = 0.
-30, 2
Suppose -4*n**4 - 84*n**3 + 628*n**2 - 540*n = 0. What is n?
-27, 0, 1, 5
Factor q**2/4 - 2079*q + 4322241.
(q - 4158)**2/4
Factor -k**4/6 + 23*k**3/6 - 91*k**2/3 + 272*k/3 - 64.
-(k - 8)**2*(k - 6)*(k - 1)/6
Factor -l**3/3 - 50*l**2/3 - 49*l/3.
-l*(l + 1)*(l + 49)/3
Determine h so that h**3/3 - 49*h**2/3 + 328*h/3 = 0.
0, 8, 41
Solve 22*q**5/3 + 128*q**4/3 - 200*q**3/3 - 100*q**2/3 + 178*q/3 - 28/3 = 0 for q.
-7, -1, 2/11, 1
Factor -2*r**3/5 + 46*r**2/5 + 48*r/5.
-2*r*(r - 24)*(r + 1)/5
Determine m, given that -2*m**5/3 + 2*m**4 - 8*m**2/3 = 0.
-1, 0, 2
Let -k**4 + 3*k**3 - 2*k**2 = 0. Calculate k.
0, 1, 2
Determine v, given that -4*v**2 - 672*v - 3888 = 0.
-162, -6
Factor -4*f**3/3 + 8*f**2/3 + 620*f/3 - 208.
-4*(f - 13)*(f - 1)*(f + 12)/3
Factor -4*q**3 - 128*q**2 - 884*q + 2312.
-4*(q - 2)*(q + 17)**2
Suppose -2*d**3 - 52*d**2 - 418*d - 968 = 0. Calculate d.
-11, -4
Factor 2*m**3/3 - 184*m**2.
2*m**2*(m - 276)/3
What is d in -14*d**5/15 + 4*d**4 - 44*d**3/15 - 16*d**2/5 + 58*d/15 - 4/5 = 0?
-1, 2/7, 1, 3
Factor 27*y**3 + 1446*y**2 + 20436*y + 28392.
3*(y + 26)**2*(9*y + 14)
Find a such that 4*a**2/5 + 1432*a/5 - 1436/5 = 0.
-359, 1
Factor 2*a**3/7 + 132*a**2/7 + 2904*a/7 + 21296/7.
2*(a + 22)**3/7
Let -2*l**3/17 - 76*l**2/17 + 328*l/17 - 336/17 = 0. What is l?
-42, 2
Let -5*d**3/6 + 55*d**2/3 - 80*d - 240 = 0. What is d?
-2, 12
Factor -4*g**5/5 - 768*g**4/5 - 7812*g**3 - 207576*g**2/5.
-4*g**2*(g + 6)*(g + 93)**2/5
Factor -4*x**2/3 + 17896*x/3 - 20016676/3.
-4*(x - 2237)**2/3
Determine l so that 2*l**3/19 - 8*l**2/19 + 2*l/19 + 12/19 = 0.
-1, 2, 3
Factor q**5/5 - 1323*q**4 + 3500658*q**3 - 4631370534*q**2 + 3063651608241*q - 4053211077702843/5.
(q - 1323)**5/5
Factor p**4 - 56*p**3/3 - 23*p**2/3 + 76*p/3.
p*(p - 19)*(p - 1)*(3*p + 4)/3
Solve -2*s**3/3 + 46*s**2/3 + 164*s/3 - 208/3 = 0 for s.
-4, 1, 26
Suppose -j**2/3 + 5*j/3 - 4/3 = 0. Calculate j.
1, 4
Solve -2*y**5/5 - 48*y**4/5 - 74*y**3 - 1004*y**2/5 - 216*y - 80 = 0 for y.
-10, -2, -1
Factor -3*k**3/5 + 1002*k**2/5 - 81627*k/5 - 342732/5.
-3*(k - 169)**2*(k + 4)/5
Factor 3*v**4 + 18*v**3 - 57*v**2 - 72*v.
3*v*(v - 3)*(v + 1)*(v + 8)
Factor -2*g**4/7 - 1136*g**3/7 - 162444*g**2/7 - 321488*g/7 - 160178/7.
-2*(g + 1)**2*(g + 283)**2/7
Suppose -2*r**2 - 56*r + 120 = 0. Calculate r.
-30, 2
Solve -5*h**3 + 190*h**2 - 185*h = 0.
0, 1, 37
Solve -2*v**4/3 + 17*v**3 - 24*v**2 - v/3 + 8 = 0 for v.
-1/2, 1, 24
Factor l**3 + 90*l**2 - 687*l - 776.
(l - 8)*(l + 1)*(l + 97)
Factor 2*q**4 + 24*q**3 + 76*q**2 + 24*q - 126.
2*(q - 1)*(q + 3)**2*(q + 7)
Factor -4*v**3/7 + 240*v**2/7 - 3348*v/7 - 7688/7.
-4*(v - 31)**2*(v + 2)/7
Find s, given that 5*s**3 - 65*s**2 - 70*s = 0.
-1, 0, 14
Solve 6*x**3/19 + 10900*x**2/19 + 4954048*x/19 + 3297856/19 = 0.
-908, -2/3
Find h such that -2*h**3 + 98*h**2 + 418*h + 318 = 0.
-3, -1, 53
Solve -3*o**5/4 - 21*o**4/4 + 9*o**3/4 + 69*o**2/4 + 21*o/2 = 0 for o.
-7, -1, 0, 2
Factor 14*z**3/11 + 2*z**2 - 54*z/11 + 18/11.
2*(z - 1)*(z + 3)*(7*z - 3)/11
Factor 3*j**2 - 24*j + 48.
3*(j - 4)**2
Find b such that 4*b**4 - 32*b**3 - 32*b**2 + 384*b + 576 = 0.
-2, 6
What is w in w**3/3 + 2*w**2 + 3*w + 4/3 = 0?
-4, -1
Solve 5*z**5 + 555*z**4 - 30*z**3 - 3370*z**2 - 4455*z - 1665 = 0 for z.
-111, -1, 3
Determine d so that -d**4 - 2*d**3 + 32*d**2 + 96*d = 0.
-4, 0, 6
Factor -2*a**2/11 - 1360*a/11 - 1358/11.
-2*(a + 1)*(a + 679)/11
Factor 3*p**5 - 12*p**4 - 36*p**3.
3*p**3*(p - 6)*(p + 2)
Factor -p**4/6 + 26*p**3/3 - 307*p**2/6 - 60*p.
-p*(p - 45)*(p - 8)*(p + 1)/6
Factor -2*w**2 + 1766*w + 3540.
-2*(w - 885)*(w + 2)
Determine g, given that 108*g**3/11 + 426*g**2/11 - 100*g/11 = 0.
-25/6, 0, 2/9
Factor -2*l**4/7 + 1214*l**3/7 - 346*l**2 + 1210*l/7.
-2*l*(l - 605)*(l - 1)**2/7
Let -3*o**3/4 + 87*o**2/4 - 21*o = 0. Calculate o.
0, 1, 28
Determine d, given that d**2/4 - 142*d + 20164 = 0.
284
Factor -5*j**4 - 135*j**3 + 145*j**2 + 135*j - 140.
-5*(j - 1)**2*(j + 1)*(j + 28)
Solve -c**3 + 5*c**2 + 6*c = 0.
-1, 0, 6
What is m in 48*m**5 - 72*m**4 - 69*m**3 + 45*m**2 - 6*m = 0?
-1, 0, 1/4, 2
Suppose 4*w**5 + 1244*w**4 + 96092*w**3 - 98588*w**2 - 96096*w + 97344 = 0. What is w?
-156, -1, 1
Factor -3*c**4/7 - 6*c**3/7 + 45*c**2/7 + 108*c/7.
-3*c*(c - 4)*(c + 3)**2/7
What is z in -4*z**5 + 76*z**4 - 448*z**3 + 768*z**2 = 0?
0, 3, 8
Factor -s**5 - 20*s**4 - 114*s**3 - 108*s**2 + 243*s.
-s*(s - 1)*(s + 3)*(s + 9)**2
Factor 4*c**4/5 - 4*c**3/5 - 248*c**2/5 + 912*c/5 - 864/5.
4*(c - 6)*(c - 2)**2*(c + 9)/5
Factor 2*m**2 + 948*m + 112338.
2*(m + 237)**2
Suppose -5*q**4/2 + 95*q**3 - 90*q**2 - 95*q + 185/2 = 0. Calculate q.
-1, 1, 37
Let 3*o**4 + 3*o**3 - 75*o**2 - 75*o = 0. Calculate o.
-5, -1, 0, 5
Suppose -i**2/5 - 23*i/5 - 132/5 = 0. What is i?
-12, -11
Determine o so that -5*o**3 + 35*o - 30 = 0.
-3, 1, 2
Factor -36*t**3 + 280*t**2 + 388*t + 72.
-4*(t - 9)*(t + 1)*(9*t + 2)
Factor 3*r**4/2 - 9*r**2/2 - 3*r.
3*r*(r - 2)*(r + 1)**2/2
Determine g, given that -4*g**5 + 20*g**4 + 276*g**3 + 668*g**2 + 608*g + 192 = 0.
-4, -1, 12
Determine d so that 10*d**4 - 94*d**3 + 36*d**2 = 0.
0, 2/5, 9
Factor -4*t**4 - 8*t**3 + 48*t**2 + 32*t - 128.
-4*(t - 2)**2*(t + 2)*(t + 4)
Factor -2*p**3/3 + 2*p/3.
-2*p*(p - 1)*(p + 1)/3
Suppose -3*k**4 + 39*k**3 + 252*k**2 + 324*k = 0. Calculate k.
-3, -2, 0, 18
Find y, given that y**5 + 4*y**4 - 11*y**3 - 26*y**2 + 64*y - 32 = 0.
-4, 1, 2
Factor r**4/2 - 11*r**3/2 - r**2/2 + 11*r/2.
r*(r - 11)*(r - 1)*(r + 1)/2
Factor q**4/2 + 5*q**3/2 - 3*q**2 - 16*q + 16.
(q - 2)*(q - 1)*(q + 4)**2/2
What is l in 3698*l**4/7 - 3870*l**3/7 