.
4*(m - 6)**2*(39*m + 2)
Let 14*t**2/5 - 36*t/5 + 16/5 = 0. What is t?
4/7, 2
Find w such that 2*w**2 - 4*w - 70 = 0.
-5, 7
Find j such that 4*j**3/5 - 22*j**2/5 - 12*j/5 = 0.
-1/2, 0, 6
Factor -2*y**4/7 - 44*y**3/7 - 216*y**2/7 - 400*y/7 - 256/7.
-2*(y + 2)**3*(y + 16)/7
Suppose -2*v**5 - 522*v**4 - 34834*v**3 - 100878*v**2 - 66564*v = 0. What is v?
-129, -2, -1, 0
Factor -4*g**3 + 8*g**2 + 4*g - 8.
-4*(g - 2)*(g - 1)*(g + 1)
Let 2*p**3 - 320*p**2 + 1256*p - 1248 = 0. What is p?
2, 156
Let -k**5 - 210*k**4 + 214*k**3 + 632*k**2 - 213*k - 422 = 0. Calculate k.
-211, -1, 1, 2
Factor -3*s**3/4 - 15*s**2/4 + 6*s + 36.
-3*(s - 3)*(s + 4)**2/4
Factor -3*y**2/2 - 843*y - 1680.
-3*(y + 2)*(y + 560)/2
Find z such that 4*z**5 - 4*z**4 - 36*z**3 + 4*z**2 + 80*z + 48 = 0.
-2, -1, 2, 3
Find a, given that -2*a**3/3 - 32*a**2/3 + 38*a/3 + 68/3 = 0.
-17, -1, 2
Solve 2*j**2 + 12*j = 0 for j.
-6, 0
Factor 16*m**3 - 372*m**2 - 1584*m - 972.
4*(m - 27)*(m + 3)*(4*m + 3)
Factor -o**3/2 + 37*o**2/2 + 19*o.
-o*(o - 38)*(o + 1)/2
Suppose -32*q**5/13 - 2736*q**4/13 - 1362*q**3/13 - 170*q**2/13 = 0. What is q?
-85, -1/4, 0
Factor 2*p**2/17 + 16328*p/17 + 33325448/17.
2*(p + 4082)**2/17
Let -2*p**5 + 40*p**4/3 - 176*p**3/9 - 128*p**2/9 + 224*p/9 + 128/9 = 0. What is p?
-2/3, 2, 4
Factor -r**4 + 6*r**3 - 9*r**2.
-r**2*(r - 3)**2
Factor -5*k**4 + 15*k**3 + 20*k**2.
-5*k**2*(k - 4)*(k + 1)
Factor 2*y**3/17 + 40*y**2/17 - 54*y/17 - 252/17.
2*(y - 3)*(y + 2)*(y + 21)/17
Find s, given that s**2/2 - 65*s/2 + 32 = 0.
1, 64
Find o, given that 6*o**3/5 + 4*o**2 - 2*o/5 - 24/5 = 0.
-3, -4/3, 1
Factor -4*r**3/7 - 144*r**2/7 - 276*r/7 - 136/7.
-4*(r + 1)**2*(r + 34)/7
What is z in 2*z**3/5 + 150*z**2 + 18750*z + 781250 = 0?
-125
Suppose n**4 + 2*n**3 = 0. What is n?
-2, 0
Determine p so that -5*p**3/4 - 45*p**2 + 575*p/4 - 195/2 = 0.
-39, 1, 2
Factor -q**4/6 - 515*q**3/3 - 59166*q**2 - 6900876*q - 26667792.
-(q + 4)*(q + 342)**3/6
Let -2*x**5 - 63*x**4/2 - 331*x**3/4 + 1329*x**2/4 - 621*x/4 - 243/4 = 0. Calculate x.
-9, -1/4, 1, 3/2
Factor 2*f**2/5 - 18*f/5 - 504/5.
2*(f - 21)*(f + 12)/5
Find m such that 5*m**3 + 335*m**2 = 0.
-67, 0
Let v**2 - 293*v + 3372 = 0. What is v?
12, 281
What is z in -2*z**2 + 1760*z - 387200 = 0?
440
Factor -5*z**4/3 - 7*z**3 - 8*z**2 - 4*z/3.
-z*(z + 2)**2*(5*z + 1)/3
Let -9*c**3 - 141*c**2 - 46*c = 0. Calculate c.
-46/3, -1/3, 0
Factor 2*a**2/7 - 206*a/7 - 60.
2*(a - 105)*(a + 2)/7
Factor w**3 + 9*w**2 + 23*w + 15.
(w + 1)*(w + 3)*(w + 5)
Factor 2*s**2 - 416*s/9 + 46/9.
2*(s - 23)*(9*s - 1)/9
Determine q so that -18*q**5 + 50*q**4 + 426*q**3 + 686*q**2 + 384*q + 56 = 0.
-2, -1, -2/9, 7
Factor -3*m**3 - 6633*m**2 - 3663072*m + 3669708.
-3*(m - 1)*(m + 1106)**2
Factor -k**4/4 + 19*k**3 + 741*k**2/4 + 505*k + 425.
-(k - 85)*(k + 2)**2*(k + 5)/4
Solve 4*h**3 - 68*h**2 - 1312*h - 2320 = 0.
-10, -2, 29
Factor 5*t**3 - 80*t**2 + 105*t + 1170.
5*(t - 13)*(t - 6)*(t + 3)
Factor 376*k**4 + 572*k**3 + 294*k**2 + 53*k + 1.
(2*k + 1)**3*(47*k + 1)
Let 20*c**4 + 100*c**3 - 95*c**2 - 910*c - 735 = 0. Calculate c.
-7/2, -1, 3
Factor -4*w**2 - 2572*w.
-4*w*(w + 643)
Solve -10*o**4/3 + 32*o**3/9 - 2*o**2/9 = 0.
0, 1/15, 1
Factor -27*d**5 - 87*d**4 - 99*d**3 - 45*d**2 - 6*d.
-3*d*(d + 1)**3*(9*d + 2)
Factor 3*a**3/2 + 93*a**2/2 - 651*a/2 + 555/2.
3*(a - 5)*(a - 1)*(a + 37)/2
Determine b so that 3*b**3/5 - 1521*b**2/5 + 257049*b/5 - 14480427/5 = 0.
169
Factor 4*l**4/5 + 28*l**3/5 + 4*l**2 - 28*l/5 - 24/5.
4*(l - 1)*(l + 1)**2*(l + 6)/5
Solve 25*j**5 - 3160*j**4 + 16585*j**3 - 30430*j**2 + 21820*j - 4840 = 0 for j.
2/5, 1, 2, 121
Factor -5*z**2 + 3400*z - 578000.
-5*(z - 340)**2
Let 2*y**3/7 - 4*y**2 + 128*y/7 - 192/7 = 0. What is y?
4, 6
Factor 4*w**4 + 256*w**3 + 5856*w**2 + 56320*w + 193600.
4*(w + 10)**2*(w + 22)**2
Determine t so that -4*t**4 + 44*t**3 - 368*t - 320 = 0.
-2, -1, 4, 10
Solve 5*o**5/2 + 104*o**4 + 2321*o**3/2 + 1619*o**2 + 160*o - 400 = 0.
-20, -1, 2/5
Solve 2*j**4/5 - 2*j**3/5 - 24*j**2/5 + 56*j/5 - 32/5 = 0 for j.
-4, 1, 2
Factor 2*i**5 + 4*i**4 - 14*i**3 + 8*i**2.
2*i**2*(i - 1)**2*(i + 4)
Factor d**3/5 - 42*d**2/5 - 87*d/5 - 44/5.
(d - 44)*(d + 1)**2/5
Let 3*x**5 + 27*x**4 + 45*x**3 + 21*x**2 = 0. Calculate x.
-7, -1, 0
Let 4*u**2/9 + 64*u/3 + 188/9 = 0. What is u?
-47, -1
Find t such that 4*t**5/3 - 20*t**4/3 - 148*t**3/3 + 20*t**2/3 + 48*t = 0.
-4, -1, 0, 1, 9
Factor -y**4 + 48*y**3 + 271*y**2 - 318*y.
-y*(y - 53)*(y - 1)*(y + 6)
Find w, given that -w**4/3 - 112*w**3/3 + 354*w**2 - 1080*w + 1089 = 0.
-121, 3
Suppose n**3/6 + 7*n**2/6 = 0. Calculate n.
-7, 0
Suppose -h**3/2 + 5*h**2/2 - 4*h + 2 = 0. What is h?
1, 2
Solve m**5/2 - 11*m**4/2 + 17*m**3 - 7*m**2 - 35*m/2 + 25/2 = 0.
-1, 1, 5
Let 5*r**5/3 + 10*r**4 + 35*r**3/3 - 10*r**2 - 40*r/3 = 0. What is r?
-4, -2, -1, 0, 1
Factor 4*n**2 + 64*n.
4*n*(n + 16)
Factor -3*s**5 + 192*s**4 - 3963*s**3 + 23430*s**2 + 59532*s + 31944.
-3*(s - 22)**3*(s + 1)**2
Factor 3*s**4/7 + 15*s**3/7 - 3*s**2/7 - 51*s/7 + 36/7.
3*(s - 1)**2*(s + 3)*(s + 4)/7
Determine i, given that -i**5/6 + i**4/2 + i**3/3 - i**2 - i/6 + 1/2 = 0.
-1, 1, 3
Factor -4*x**3/7 - 13*x**2/7 - 2*x - 5/7.
-(x + 1)**2*(4*x + 5)/7
Let g**2/5 + 3*g/5 + 2/5 = 0. Calculate g.
-2, -1
Factor -5*i**3 + 105*i**2 - 340*i.
-5*i*(i - 17)*(i - 4)
Solve r**4/2 - 47*r**3/2 + 213*r**2/2 - 117*r/2 - 189 = 0.
-1, 3, 42
Determine g, given that 5*g**2 - 115*g - 250 = 0.
-2, 25
Let d**4/2 - 100*d**3 + 394*d**2 - 392*d = 0. What is d?
0, 2, 196
Suppose 3*l**3 + 81*l**2 + 153*l - 6069 = 0. What is l?
-17, 7
Let -3*y**5 + 3*y**4 + 18*y**3 - 42*y**2 + 33*y - 9 = 0. What is y?
-3, 1
Factor q**4/5 - 3*q**3/5 - 4*q**2/5.
q**2*(q - 4)*(q + 1)/5
Let -q**2/6 + q - 5/6 = 0. Calculate q.
1, 5
Solve w**3/3 + 4*w**2/3 - 89*w/3 + 28 = 0 for w.
-12, 1, 7
Determine s, given that 3*s**3 + 651*s**2 - 2640*s + 2652 = 0.
-221, 2
Factor 3*j**2/4 + 897*j/4.
3*j*(j + 299)/4
Solve 3*x**3/4 + 6*x**2 + 45*x/4 = 0.
-5, -3, 0
Let -4*n**5 + 8*n**4 + 60*n**3 - 128*n**2 + 64*n = 0. What is n?
-4, 0, 1, 4
Suppose -2*f**4/11 + 20*f**3/11 - 64*f**2/11 + 76*f/11 - 30/11 = 0. Calculate f.
1, 3, 5
Let 3*l**4/2 + 51*l**3 - 618*l**2 + 1812*l - 1584 = 0. Calculate l.
-44, 2, 6
Factor -j**2/5 - 3381*j/5 - 676.
-(j + 1)*(j + 3380)/5
Factor 2*q**3 + 172*q**2 - 32*q - 2752.
2*(q - 4)*(q + 4)*(q + 86)
Suppose -b**4 - 3*b**3 + 147*b**2 - 245*b - 2058 = 0. Calculate b.
-14, -3, 7
Factor 3*g**5/7 + 6*g**4/7 + 3*g**3/7.
3*g**3*(g + 1)**2/7
Determine y, given that -3*y**4/2 - 9*y**3 - 18*y**2 - 15*y - 9/2 = 0.
-3, -1
Determine w, given that -w**4 + 222*w**3 - 12321*w**2 = 0.
0, 111
What is m in -18*m**5 + 10*m**4 + 1684*m**3/9 + 2024*m**2/9 + 656*m/9 + 64/9 = 0?
-2, -1, -2/9, 4
Let x**5/10 + x**4/10 = 0. What is x?
-1, 0
What is o in 3*o**4/7 - 48*o**2/7 = 0?
-4, 0, 4
What is y in 4*y**5 + 12*y**4 - 24*y**3 - 32*y**2 = 0?
-4, -1, 0, 2
Let k**2/2 - 57*k + 3249/2 = 0. What is k?
57
Factor -2*u**3/7 - 80*u**2 - 1112*u/7.
-2*u*(u + 2)*(u + 278)/7
Solve -5*r**2/4 + 83*r/2 + 34 = 0.
-4/5, 34
Factor 3*w**5 - 12*w**4 + 18*w**3 - 12*w**2 + 3*w.
3*w*(w - 1)**4
Determine p, given that p**3 - p**2 - 14*p + 24 = 0.
-4, 2, 3
Let 2*n**5 + 10*n**4 - 2*n**3 - 58*n**2 - 24*n + 72 = 0. What is n?
-3, -2, 1, 2
Find x such that -30*x**5 - 4*x**4 + 118*x**3/15 + 8*x**2/15 - 8*x/15 = 0.
-2/5, 0, 1/3
Find p, given that p**3/5 + 28*p**2/5 = 0.
-28, 0
Factor 3*o**5 - 4*o**4 - 2*o**3 + 4*o**2 - o.
o*(o - 1)**2*(o + 1)*(3*o - 1)
Factor 2*n**4 - 68*n**3 + 746*n**2 - 2856*n + 3528.
2*(n - 14)**2*(n - 3)**2
Let 5*b**2 - 110*b - 115 = 0. Calculate b.
-1, 23
Solve 10*a**3/17 - 516*a**2/17 - 1288*a/17 - 432/17 = 0 for a.
-2, -2/5, 54
Suppose -3*n**5 + 3*n**4 + 36*n**3 + 12*n**2 - 48*n = 0. Calculate n.
-2, 0, 1, 4
Let -10*y**5/7 + 2364*y**4/7 - 140174*y**3/7 + 53332*y**2/7 + 140184*y/7 - 55696/7 = 0. What is y?
-1, 2/5, 1, 118
Find y, given that -3*y**5/4 + 9*y**4/2 - 6*y**3 - 3*y**2/2 + 27*y/4 - 3 = 0.
-1, 1, 4
Factor -2*t**3 + 18*t**2 + 42*t + 22.
-2*(t - 11)*(t + 1)**2
Suppose l**5/5 - 636*l**4/5 + 632*l**3/5 + 1906*l**2/5 - 633*l/5 - 254 = 0. Calculate l.
-1, 1, 2, 635
What is x in -7*x**3/2 - 19*x**2/2 - 4*x + 2 = 0?
-2, -1, 2/7
What is f in -8*f**3 - 29*f**2 - 12*f + 9 = 0?
-3, -1, 3/8
Suppose -4*v**2 + 148*v + 312 = 0. Calculate v.
-2,