h that 3*t**3 - 117*t**2 - 243*t - 123 = 0.
-1, 41
Determine g so that g**3/10 - 207*g**2/10 + 41*g = 0.
0, 2, 205
Solve -6*k**5/7 - 76*k**4/7 - 108*k**3/7 + 32*k**2/7 + 114*k/7 + 44/7 = 0 for k.
-11, -1, -2/3, 1
Factor -f**4 - 9*f**3 - 7*f**2 + 45*f - 28.
-(f - 1)**2*(f + 4)*(f + 7)
Solve -c**5/7 - 9*c**4/7 - 16*c**3/7 + 24*c**2/7 + 80*c/7 + 48/7 = 0 for c.
-6, -2, -1, 2
Factor -2*x**2/17 + 10*x/17 + 100/17.
-2*(x - 10)*(x + 5)/17
Determine r, given that 2*r**4/9 + 22*r**3/9 - 14*r**2/9 - 142*r/9 + 44/3 = 0.
-11, -3, 1, 2
Suppose 5*n**3 - 135*n**2 + 750*n - 1000 = 0. What is n?
2, 5, 20
Determine c so that -4*c**4 + 8*c**3 + 4*c**2 - 8*c = 0.
-1, 0, 1, 2
Determine j, given that 2*j**5 + 56*j**4 + 506*j**3 + 1388*j**2 - 1408*j - 7744 = 0.
-11, -4, 2
Let -4*n**5 + 40*n**4 - 64*n**3 - 8*n**2 + 68*n - 32 = 0. Calculate n.
-1, 1, 8
Factor 2*j**2/9 + 40*j/9 + 38/9.
2*(j + 1)*(j + 19)/9
Suppose -2*y**2/7 + 104*y/7 - 102/7 = 0. Calculate y.
1, 51
What is i in 39*i**3/2 + 123*i**2/2 + 48*i + 6 = 0?
-2, -1, -2/13
Suppose 4*y**2 + 56*y = 0. What is y?
-14, 0
Let -3*g**5 + 9*g**4 - 3*g**3 - 9*g**2 + 6*g = 0. What is g?
-1, 0, 1, 2
Determine i, given that -2*i**4/9 - 656*i**3/9 - 16804*i**2/3 + 554320*i/9 - 1428050/9 = 0.
-169, 5
Suppose p**2/4 - 17*p/4 = 0. Calculate p.
0, 17
Find r such that -125*r**5 - 1725*r**4 - 5695*r**3 + 2365*r**2 + 4200*r + 980 = 0.
-7, -2/5, 1
Factor -4*m**4 + 4*m**3 + 32*m**2 - 48*m.
-4*m*(m - 2)**2*(m + 3)
Factor 2*z**2/13 - 30*z/13 - 32/13.
2*(z - 16)*(z + 1)/13
Factor -2*j**4 + 24*j**3 - 70*j**2.
-2*j**2*(j - 7)*(j - 5)
Determine j so that -2*j**3/9 - 164*j**2/9 = 0.
-82, 0
Let 2*y**3/9 - 1154*y**2/9 - 4640*y/9 - 4648/9 = 0. Calculate y.
-2, 581
Factor 11*s**3 - s**2/10.
s**2*(110*s - 1)/10
Factor 2*w**2/11 + 800*w/11.
2*w*(w + 400)/11
Find n such that -n**2 + 360*n - 32400 = 0.
180
Let f**5 - 16*f**4 + 202*f**2 + 335*f + 150 = 0. What is f?
-2, -1, 5, 15
Solve -p**3 + 19*p**2 - 119*p + 245 = 0.
5, 7
Factor 2*y**2/5 + 3088*y/5.
2*y*(y + 1544)/5
Let -3*n**3 + 135*n**2 + 3*n - 135 = 0. What is n?
-1, 1, 45
Solve -4*x**3 + 148*x**2 + 36*x - 1332 = 0 for x.
-3, 3, 37
Determine a, given that -2*a**4 + 28*a**3 + 6*a**2 - 80*a - 56 = 0.
-1, 2, 14
Factor 2*f**4/9 + 20*f**3/9 + 2*f**2 - 24*f - 24.
2*(f - 3)*(f + 1)*(f + 6)**2/9
Factor 2*k**5 + 30*k**4 + 92*k**3 - 192*k**2 - 256*k.
2*k*(k - 2)*(k + 1)*(k + 8)**2
Factor -14*l**2/9 - 10*l + 36.
-2*(l + 9)*(7*l - 18)/9
Suppose 16*i**4/5 - 98*i**3/5 + 12*i**2/5 = 0. Calculate i.
0, 1/8, 6
Solve 2*m**4/3 + 4*m**3 + 22*m**2/3 + 4*m = 0.
-3, -2, -1, 0
Suppose 28*m**5/3 - 436*m**4 + 14408*m**3/3 + 6784*m**2 + 1536*m = 0. What is m?
-1, -2/7, 0, 24
Determine x, given that -2*x**4/11 + 4*x**3/11 - 4*x/11 + 2/11 = 0.
-1, 1
Determine n so that n**2 - 56*n + 55 = 0.
1, 55
Let -8*x**5/5 + 8*x**4 - 58*x**3/5 - 4*x**2/5 + 66*x/5 - 36/5 = 0. What is x?
-1, 1, 3/2, 2
Solve 5*c**5 - 5*c**4 - 110*c**3 + 230*c**2 + 105*c - 225 = 0.
-5, -1, 1, 3
Factor -3*r**5 + 15*r**4 - 27*r**3 + 21*r**2 - 6*r.
-3*r*(r - 2)*(r - 1)**3
What is q in -3*q**3 + 297*q**2 + 6075*q + 28431 = 0?
-9, 117
Factor -4*h**3 - 4284*h**2 - 1529388*h - 181997172.
-4*(h + 357)**3
Factor 3*n**2/7 + 75*n/7 - 78/7.
3*(n - 1)*(n + 26)/7
Factor 7*w**4/4 - 200*w**3 + 7638*w**2 - 98192*w + 27436.
(w - 38)**3*(7*w - 2)/4
What is g in -g**4 + 28*g**3 + g**2 - 28*g = 0?
-1, 0, 1, 28
Solve 2*t**2/5 + 34*t/5 + 84/5 = 0 for t.
-14, -3
What is x in -3*x**4 - 6*x**3 - 3*x**2 = 0?
-1, 0
Factor 3*n**2 - 369*n - 372.
3*(n - 124)*(n + 1)
Determine v, given that -3*v**3/4 + 87*v**2/4 + 12*v - 348 = 0.
-4, 4, 29
What is w in -84*w**5/5 - 213*w**4/5 + 48*w**3 + 168*w**2 + 384*w/5 + 48/5 = 0?
-2, -2/7, -1/4, 2
Find q, given that -3*q**3/7 + 36*q**2 - 675*q/7 - 4374/7 = 0.
-3, 6, 81
Factor z**5/2 + z**4/2 - 3*z**3/2 - z**2/2 + z.
z*(z - 1)**2*(z + 1)*(z + 2)/2
Find m such that 4*m**3 - 3288*m**2 + 900912*m - 82283296 = 0.
274
Factor 2*l**2 + 34*l - 120.
2*(l - 3)*(l + 20)
Factor 3*k**3 + 3*k**2 - 30*k + 24.
3*(k - 2)*(k - 1)*(k + 4)
Find o such that -o**2 + 17*o = 0.
0, 17
Suppose d**2 - 54*d - 55 = 0. Calculate d.
-1, 55
Factor 18*o**2 - 2229*o - 372.
3*(o - 124)*(6*o + 1)
Factor -4*n**3 + 268*n**2 - 508*n - 780.
-4*(n - 65)*(n - 3)*(n + 1)
Factor v**4/4 - 9*v**3/2 + 97*v**2/4 - 36*v + 16.
(v - 8)**2*(v - 1)**2/4
Let -j**4 - 17*j**3 + 19*j**2 + 17*j - 18 = 0. Calculate j.
-18, -1, 1
Suppose -36*g**2/5 + 3108*g - 335405 = 0. What is g?
1295/6
Suppose -2*s**4 + 144*s**3 + 918*s**2 + 1396*s + 624 = 0. Calculate s.
-4, -1, 78
Factor -6*m**2/5 + 58*m/15 - 4/5.
-2*(m - 3)*(9*m - 2)/15
Find h, given that 3*h**2/5 + 6*h + 27/5 = 0.
-9, -1
Factor -q**2/7 - 267*q/7 + 810/7.
-(q - 3)*(q + 270)/7
Solve 3*h**5 - 9*h**4 - 21*h**3 + 21*h**2 + 54*h + 24 = 0 for h.
-1, 2, 4
Suppose 27*r**3 - 6*r**2 = 0. What is r?
0, 2/9
Determine l so that 2*l**2/9 + 1016*l/9 + 129032/9 = 0.
-254
Let -4*d**3 + 48*d**2 + 4*d - 48 = 0. What is d?
-1, 1, 12
Factor -r**3/6 - r**2/3.
-r**2*(r + 2)/6
Factor 35*g**4 - 900*g**3 - 1205*g**2 - 270*g.
5*g*(g - 27)*(g + 1)*(7*g + 2)
Find w, given that 4*w**2 + 112*w = 0.
-28, 0
Solve -2*v**5 + 41*v**4/2 + 17*v**3 - 11*v**2/2 = 0 for v.
-1, 0, 1/4, 11
Factor -2*y**5/5 + 26*y**4/5 + 18*y**3 + 94*y**2/5 + 32*y/5.
-2*y*(y - 16)*(y + 1)**3/5
Factor 5*r**3/3 - 130*r**2 + 2535*r.
5*r*(r - 39)**2/3
Find x, given that 9*x**5 + 516*x**4 - 882*x**3 + 180*x**2 + 177*x = 0.
-59, -1/3, 0, 1
Factor k**4/7 + 8*k**3/7 + 15*k**2/7 - 4*k/7 - 20/7.
(k - 1)*(k + 2)**2*(k + 5)/7
Factor m**2/2 - 4*m - 330.
(m - 30)*(m + 22)/2
Factor 2*h**2/3 + 4*h/3 - 10.
2*(h - 3)*(h + 5)/3
Find j such that 3*j**2/2 - 4206*j + 2948406 = 0.
1402
Solve x**5/12 - 5*x**4/6 + 11*x**3/6 + 8*x**2/3 - 95*x/12 + 25/6 = 0.
-2, 1, 5
What is c in -4*c**4 - 32*c**3 + 76*c**2 - 40*c = 0?
-10, 0, 1
Factor -t**5 - 48*t**4 + 99*t**3 - 50*t**2.
-t**2*(t - 1)**2*(t + 50)
Factor -2*o**3/5 + 2*o**2/5 + 2*o + 6/5.
-2*(o - 3)*(o + 1)**2/5
Determine k, given that k**3 + 60*k**2 + 117*k + 58 = 0.
-58, -1
Solve -5*q**2 + 30*q + 35 = 0.
-1, 7
Suppose -3*l**4/7 - 27*l**3/7 + 27*l**2 - 285*l/7 + 18 = 0. What is l?
-14, 1, 3
Factor -3*m**4 - 39*m**3 - 90*m**2.
-3*m**2*(m + 3)*(m + 10)
What is i in -15*i**5 + 25*i**4 + 95*i**3 - 85*i**2 - 80*i + 60 = 0?
-2, -1, 2/3, 1, 3
Find i, given that 3*i**2/8 + 51*i/4 = 0.
-34, 0
Factor 2*s**4/9 + 28*s**3/9 + 136*s**2/9 + 260*s/9 + 50/3.
2*(s + 1)*(s + 3)*(s + 5)**2/9
Solve -2*y**5/3 - 8*y**4/3 - 2*y**3/3 + 4*y**2 = 0 for y.
-3, -2, 0, 1
Factor -5*x**3 + 105*x**2 - 495*x - 605.
-5*(x - 11)**2*(x + 1)
What is z in z**5 - 23*z**4/5 - 68*z**3 - 132*z**2/5 = 0?
-6, -2/5, 0, 11
Let -5*f**4 - 500*f**3 - 13460*f**2 - 48000*f - 46080 = 0. Calculate f.
-48, -2
Factor -972*p**4/5 - 19332*p**3/5 - 95043*p**2/5 + 2148*p - 60.
-3*(p + 10)**2*(18*p - 1)**2/5
Factor -3*k**2/2 - 96*k - 1536.
-3*(k + 32)**2/2
Solve 2*v**5/5 - 14*v**4/5 + 28*v**3/5 - 4*v**2/5 - 6*v + 18/5 = 0 for v.
-1, 1, 3
Factor 5*q**2 + 295*q - 610.
5*(q - 2)*(q + 61)
Factor 2*x**3 - 378*x**2 + 8814*x - 55094.
2*(x - 163)*(x - 13)**2
Suppose -3*h**4 - 93*h**3 - 915*h**2 - 3003*h - 3042 = 0. What is h?
-13, -3, -2
Factor j**2 - 103*j/5 - 42/5.
(j - 21)*(5*j + 2)/5
Factor 2*z**2 + 92*z - 1120.
2*(z - 10)*(z + 56)
Factor 2*u**5 - 20*u**4 - 46*u**3 - 24*u**2.
2*u**2*(u - 12)*(u + 1)**2
Factor -z**3/3 + 76*z**2/3 - 149*z/3 + 74/3.
-(z - 74)*(z - 1)**2/3
Factor i**4 + 11*i**3 + 31*i**2 + 21*i.
i*(i + 1)*(i + 3)*(i + 7)
Solve -3*p**2 - 27*p = 0.
-9, 0
Factor -3*o**3 + 138*o**2 + 588*o + 600.
-3*(o - 50)*(o + 2)**2
Suppose 15680*d**5 + 29680*d**4 + 21500*d**3 + 7445*d**2 + 1240*d + 80 = 0. Calculate d.
-4/7, -1/4
Find o, given that 343*o**5/8 - 49*o**4 - 161*o**3/8 + 67*o**2/4 + 17*o/2 + 1 = 0.
-2/7, 1
Factor -3*v**3/7 + 27*v**2/7 + 9*v + 33/7.
-3*(v - 11)*(v + 1)**2/7
Suppose 4*w**3 - 28*w**2 - 224*w + 528 = 0. Calculate w.
-6, 2, 11
Factor -2*t**4/9 - 178*t**3/3.
-2*t**3*(t + 267)/9
Suppose 92*a**2 + 936*a + 160 = 0. Calculate a.
-10, -4/23
Factor -k**4 + 35*k**3 - 437*k**2 + 2233*k - 3630.
-(k - 11)**2*(k - 10)*(k - 3)
Solve 2*n**4/3 - 280*n**3/3 + 13916*n**2/3 - 96040*n + 705894 = 0 for n.
21, 49
Let 3*w**2/7 + w + 2/7 = 0. What is w?
-2, -1/3
Determine g so that 144*g**2/7 + 2*g - 4/7 = 0.
-2/9, 1/8
Find m, given that 3*m**3/2 + 