x**2/5 + 367*x/5 - 693/10 = 0. Calculate x.
-7, 1, 9, 11
Let 87*h**4/7 - 176*h**3/7 - 83*h**2/7 + 176*h/7 - 4/7 = 0. Calculate h.
-1, 2/87, 1, 2
Solve 5*d**5 + 85*d**4 + 65*d**3 - 265*d**2 - 410*d - 160 = 0 for d.
-16, -1, 2
Factor -5*x**5 - 10*x**4 + 10*x**3 + 40*x**2 + 35*x + 10.
-5*(x - 2)*(x + 1)**4
Suppose -t**3/6 - 31*t**2/6 - 52*t - 168 = 0. What is t?
-12, -7
Factor -3*z**2/2 + 171*z - 9747/2.
-3*(z - 57)**2/2
Suppose 2*z**5 - 102*z**4 + 1320*z**3 + 5600*z**2 - 144000*z = 0. What is z?
-9, 0, 20
Factor -b**4/3 - b**3/3 + b**2 + 5*b/3 + 2/3.
-(b - 2)*(b + 1)**3/3
Let g**2/3 + 202*g + 30603 = 0. What is g?
-303
Let n**5/6 - 23*n**4/3 + 493*n**3/6 = 0. Calculate n.
0, 17, 29
Solve a**2/3 - 5*a/3 = 0.
0, 5
Suppose -5*i**3 + 10*i**2 + 15*i = 0. What is i?
-1, 0, 3
Suppose u**2/4 - 411*u + 168921 = 0. What is u?
822
Factor -2*q**3/7 - 62*q**2/7 - 608*q/7 - 1920/7.
-2*(q + 8)**2*(q + 15)/7
Let -27*i**3/4 + 195*i**2/4 + 119*i - 99 = 0. What is i?
-22/9, 2/3, 9
Suppose -a**3/2 - 7*a**2 - 8*a + 48 = 0. What is a?
-12, -4, 2
Solve z**2/2 - 474*z - 949/2 = 0 for z.
-1, 949
Determine y so that -5*y**5/4 - 25*y**4/4 + 25*y**2 + 20*y = 0.
-4, -2, -1, 0, 2
Solve -q**2/5 - 8*q/5 - 7/5 = 0 for q.
-7, -1
Determine l so that -l**5 + 188*l**4/7 - 330*l**3/7 + 124*l**2/7 + 25*l/7 = 0.
-1/7, 0, 1, 25
Solve 5*t**2/4 + 35*t - 75 = 0 for t.
-30, 2
What is f in 4*f**5 - 46*f**4/3 + 40*f**3/3 + 8*f**2/3 = 0?
-1/6, 0, 2
Suppose h**5 = 0. What is h?
0
Determine o, given that 5*o**3 + 75*o**2 + 315*o + 245 = 0.
-7, -1
Factor 2*f**2 + 254*f/7 + 480/7.
2*(f + 16)*(7*f + 15)/7
Factor 3*p**4 + 33*p**3 + 27*p**2 - 357*p + 294.
3*(p - 2)*(p - 1)*(p + 7)**2
Factor 2*p**5 + 14*p**4 + 34*p**3 + 34*p**2 + 12*p.
2*p*(p + 1)**2*(p + 2)*(p + 3)
Find x such that -2*x**3/11 + 42*x**2/11 + 68*x/11 - 48 = 0.
-4, 3, 22
Factor 3*p**5 - 156*p**4 + 1506*p**3 + 13572*p**2 + 22707*p.
3*p*(p - 29)**2*(p + 3)**2
Find y, given that -2*y**5 - 254*y**4/3 - 1712*y**3/9 - 1288*y**2/9 - 320*y/9 = 0.
-40, -1, -2/3, 0
Suppose x**3 - 7*x**2 - 340*x - 644 = 0. Calculate x.
-14, -2, 23
Let p**2 - 159*p + 158 = 0. Calculate p.
1, 158
What is t in -4*t**4 + 368*t**3 + 756*t**2 - 368*t - 752 = 0?
-2, -1, 1, 94
Factor 3*d**3 + 108*d**2 + 972*d + 2592.
3*(d + 6)**2*(d + 24)
Factor -k**4/9 - 4*k**3/9 + k**2/3 + 2*k.
-k*(k - 2)*(k + 3)**2/9
Factor 4*f**5 + 216*f**4 + 416*f**3 - 8*f**2 - 420*f - 208.
4*(f - 1)*(f + 1)**3*(f + 52)
Factor d**2/4 - 3*d - 7.
(d - 14)*(d + 2)/4
Factor -f**5/8 - 19*f**4/8 - 99*f**3/8 - 81*f**2/8.
-f**2*(f + 1)*(f + 9)**2/8
Find p such that 88*p**2 - 268*p + 12 = 0.
1/22, 3
Factor 2*v**2/5 + 62*v/5 + 216/5.
2*(v + 4)*(v + 27)/5
Factor -5*h**4 + 50*h**3 - 120*h**2 + 110*h - 35.
-5*(h - 7)*(h - 1)**3
Solve 78*i**4 - 788*i**3/5 - 1162*i**2/5 + 8*i + 24/5 = 0 for i.
-1, -2/15, 2/13, 3
What is t in -64*t**4/7 - 928*t**3/7 - 3588*t**2/7 - 232*t - 28 = 0?
-7, -1/4
Find b such that 3*b**4 + 45*b**3/2 + 45*b**2/2 - 30*b - 18 = 0.
-6, -2, -1/2, 1
Let x**4/5 - 13*x**3/5 + 33*x**2/5 + 77*x/5 - 98/5 = 0. Calculate x.
-2, 1, 7
Determine k, given that 6*k**5 + 62*k**4 + 656*k**3/3 + 336*k**2 + 224*k + 160/3 = 0.
-5, -2, -2/3
Factor 2*t**3/7 + 36*t**2/7.
2*t**2*(t + 18)/7
Suppose 3*m**5/7 + 18*m**4/7 + 6*m**3 + 48*m**2/7 + 27*m/7 + 6/7 = 0. Calculate m.
-2, -1
Factor 4*p**3 + 48*p**2 - 60*p - 104.
4*(p - 2)*(p + 1)*(p + 13)
Factor 2*j**3/9 - 958*j**2/9 + 38080*j/3 + 12800.
2*(j - 240)**2*(j + 1)/9
Factor -1593*t**2/5 - 1587*t/5 + 6/5.
-3*(t + 1)*(531*t - 2)/5
Factor -m**3 - m**2 + 10*m - 8.
-(m - 2)*(m - 1)*(m + 4)
Find w such that 2*w**4 + 22*w**3 - 14*w**2 - 142*w + 132 = 0.
-11, -3, 1, 2
Factor 35*z**3 - 1215*z**2 + 840*z + 340.
5*(z - 34)*(z - 1)*(7*z + 2)
Factor 2*x**3 + 2*x**2 - 32*x + 40.
2*(x - 2)**2*(x + 5)
Factor 4*m**2 + 300*m - 304.
4*(m - 1)*(m + 76)
Determine n, given that -2*n**4/7 + 72*n**3/7 + 780*n**2/7 + 200*n - 2250/7 = 0.
-5, 1, 45
Factor 4*v**3 - 64*v**2 - 228*v.
4*v*(v - 19)*(v + 3)
Find f such that -45*f**4 - 444*f**3 - 1380*f**2 - 1248*f + 192 = 0.
-4, -2, 2/15
Find r such that -r**2 + 587*r/4 + 147/4 = 0.
-1/4, 147
Factor 2*r**3/7 + 34*r**2/7 + 80*r/7 - 600/7.
2*(r - 3)*(r + 10)**2/7
Factor 4*p**3 + 256*p**2 + 500*p + 248.
4*(p + 1)**2*(p + 62)
Let -256*f**4 + 111552*f**3 - 83568*f**2 + 20884*f - 1740 = 0. What is f?
1/4, 435
Find f, given that -5*f**2 - 5000*f - 1250000 = 0.
-500
Factor 2*k**3/7 - 4*k**2/7 + 2*k/7.
2*k*(k - 1)**2/7
Factor -x**3/4 + 5*x**2/2 - 4*x.
-x*(x - 8)*(x - 2)/4
Determine k, given that k**3/6 - 13*k**2/3 - 28*k/3 = 0.
-2, 0, 28
Factor a**4/6 + 14*a**3/3 + 46*a**2 + 544*a/3 + 640/3.
(a + 2)*(a + 8)**2*(a + 10)/6
Factor 2*f**4/7 + 10*f**3/7 + 6*f**2/7 - 10*f/7 - 8/7.
2*(f - 1)*(f + 1)**2*(f + 4)/7
Find n such that -n**2/3 = 0.
0
Factor p**2/3 - 15*p + 44/3.
(p - 44)*(p - 1)/3
Factor -d**2/3 - 2362*d/3 - 1394761/3.
-(d + 1181)**2/3
Factor -3*t**3 - 93*t**2 - 465*t - 375.
-3*(t + 1)*(t + 5)*(t + 25)
Find r, given that -5*r**4 - 105*r**3 - 175*r**2 + 285*r = 0.
-19, -3, 0, 1
Factor w**4 - 37*w**3 + 160*w**2.
w**2*(w - 32)*(w - 5)
Factor -m**3 - 6015*m**2 - 9042048*m + 9048064.
-(m - 1)*(m + 3008)**2
Factor w**2/7 + 25*w/7 + 46/7.
(w + 2)*(w + 23)/7
Let 2*y**2/11 + 556*y/11 + 38642/11 = 0. What is y?
-139
Find v such that 2*v**5/7 - 24*v**4/7 + 60*v**3/7 - 8*v**2 + 18*v/7 = 0.
0, 1, 9
Factor 3*r**3/5 - 21*r/5 + 18/5.
3*(r - 2)*(r - 1)*(r + 3)/5
Find u such that -3*u**5 + 9*u**4 + 135*u**3 + 243*u**2 = 0.
-3, 0, 9
Solve 55*d**5 - 328*d**4 + 483*d**3 + 18*d**2 = 0.
-2/55, 0, 3
Factor -4*x**2/5 + 4*x/5 + 72.
-4*(x - 10)*(x + 9)/5
Factor 6*x**2/5 + 14232*x/5 + 8439576/5.
6*(x + 1186)**2/5
Determine l, given that -l**5/8 - 3*l**4/8 - l**3/8 + 3*l**2/8 + l/4 = 0.
-2, -1, 0, 1
Factor -i**3 + 86*i**2 + 87*i.
-i*(i - 87)*(i + 1)
Solve -2*q**5/13 + 16*q**4/13 - 48*q**3/13 + 64*q**2/13 - 32*q/13 = 0.
0, 2
Determine i so that i**4/3 + i**3/3 - 7*i**2/3 - i/3 + 2 = 0.
-3, -1, 1, 2
Suppose 2*u**3 - 22*u**2 - 3152*u - 3128 = 0. Calculate u.
-34, -1, 46
Factor d**3 - 85*d**2 + 166*d.
d*(d - 83)*(d - 2)
Let -9*n**5 + 16*n**4 + 355*n**3 + 690*n**2 + 424*n + 64 = 0. What is n?
-4, -1, -2/9, 8
Factor -5*c**3 - 140*c**2 - 265*c - 130.
-5*(c + 1)**2*(c + 26)
Let -3*d**2/5 + 3156*d/5 - 3153/5 = 0. Calculate d.
1, 1051
Solve -2*k**4/9 + 4*k**3/3 - 2*k**2/3 - 20*k/9 = 0.
-1, 0, 2, 5
Factor -3*a**4 + 255*a**3 - 486*a**2 - 1020*a + 1992.
-3*(a - 83)*(a - 2)**2*(a + 2)
Factor 3*f**4 + 18*f**3 + 15*f**2.
3*f**2*(f + 1)*(f + 5)
Factor -k**3 - 12*k**2 + 13*k.
-k*(k - 1)*(k + 13)
Factor 360*c**2/19 - 3958*c/19 - 22/19.
2*(c - 11)*(180*c + 1)/19
Factor c**3/3 + 278*c**2 + 77284*c + 21484952/3.
(c + 278)**3/3
Factor -3*n**2 + 11400*n - 10830000.
-3*(n - 1900)**2
Factor 2*j**3/3 - 272*j**2 + 27744*j.
2*j*(j - 204)**2/3
What is t in t**5 + 25*t**4/3 - 135*t**3 + 205*t**2 - 238*t/3 = 0?
-17, 0, 2/3, 1, 7
Let -2*g**2/9 + 308*g/9 = 0. Calculate g.
0, 154
Find i such that 2*i**4 + 28*i**3 + 90*i**2 + 104*i + 40 = 0.
-10, -2, -1
Factor o**5 - 3*o**4 + o**3 + 3*o**2 - 2*o.
o*(o - 2)*(o - 1)**2*(o + 1)
Factor 2*k**4 - 18*k**3 + 18*k**2 + 98*k + 60.
2*(k - 6)*(k - 5)*(k + 1)**2
Determine v so that -v**5/4 + 201*v**4/4 - 579*v**3/4 - 2953*v**2/4 - 840*v - 297 = 0.
-1, 6, 198
Determine v so that -v**4/3 - v**3/3 = 0.
-1, 0
Factor -j**3 - 44*j**2 + 92*j.
-j*(j - 2)*(j + 46)
Factor -o**3/5 - 2959*o**2/5 - 437488*o + 438080.
-(o - 1)*(o + 1480)**2/5
Suppose -4*u**2/9 - 380*u/9 + 176 = 0. What is u?
-99, 4
Solve -18*q**5/5 + 21*q**4/5 + 51*q**3/5 - 27*q**2/5 - 33*q/5 + 6/5 = 0 for q.
-1, 1/6, 1, 2
Suppose -a**5/4 + 5*a**3/4 - a = 0. What is a?
-2, -1, 0, 1, 2
Find r, given that r**2/4 + 3*r/2 = 0.
-6, 0
Factor -v**2/3 - 131*v/3.
-v*(v + 131)/3
Suppose w**5/6 - 7*w**4/6 + 7*w**3/6 + 23*w**2/6 - 22*w/3 + 10/3 = 0. What is w?
-2, 1, 2, 5
What is j in -2*j**2/3 + 14*j/3 - 4 = 0?
1, 6
Find n, given that 2*n**4/7 + 2*n**3/7 - 22*n**2/7 - 18*n/7 + 36/7 = 0.
-3, -2, 1, 3
What is s in 2*s**5 - 74*s**4 + 378*s**3 - 166*s**2 - 620*s = 0?
-1, 0, 2, 5, 31
Determine x, given that 3*x**2 + 291*x + 288 = 0.
-96, -1
Determine z so that -3*z**5 + 26*z**4 - 15*z**3 - 8*z**2 = 0.
-1/3, 0, 1, 8
Determine a, given that a**3/8 - 27*a**2/8 - 345*a/8 - 925/8 = 0.
-5, 37
Factor 6*w**2/7 + 54*w/7 + 48/7.
6*(w + 1)*(w + 8)/7
F