68*f**4/17 + 30210*f**3/17 + 8342*f**2/17 - 834*f/17 + 18/17 = 0. What is f?
-1, 3/74
Factor 4*c**4 - 20*c**3 - 844*c**2 - 1612*c - 792.
4*(c - 18)*(c + 1)**2*(c + 11)
Factor -5*m**2 + 2010*m - 2005.
-5*(m - 401)*(m - 1)
Factor 12*s**3/5 - 428*s**2/5 + 416*s - 240.
4*(s - 30)*(s - 5)*(3*s - 2)/5
Factor -2*r**3/11 + 24*r**2/11 + 254*r/11 + 228/11.
-2*(r - 19)*(r + 1)*(r + 6)/11
Find c such that -2*c**5 - 20*c**4 + 138*c**3 + 356*c**2 - 136*c - 336 = 0.
-14, -2, -1, 1, 6
Find w, given that 2*w**2 - 160*w + 3200 = 0.
40
Factor 2*w**2/13 + 262*w/13 + 768/13.
2*(w + 3)*(w + 128)/13
Suppose 2*u**4/7 - 2*u**3/7 - 2*u**2 + 2*u/7 + 12/7 = 0. What is u?
-2, -1, 1, 3
Find y, given that -y**2/3 + 2386*y/3 - 1423249/3 = 0.
1193
What is y in -3*y**5/5 - 5*y**4 + 12*y**3 + 16*y**2 - 192*y/5 + 16 = 0?
-10, -2, 2/3, 1, 2
Let 4*n**2 + 492*n - 496 = 0. What is n?
-124, 1
Factor p**5 + 29*p**4 - 94*p**3 + 64*p**2.
p**2*(p - 2)*(p - 1)*(p + 32)
Factor -444*h**3 - 136*h**2 + 4*h.
-4*h*(3*h + 1)*(37*h - 1)
Find r, given that 3*r**2/2 - 387*r/2 - 195 = 0.
-1, 130
Find o such that 25*o**4/4 - 5*o**3/2 - 10*o**2 + 5*o/2 + 15/4 = 0.
-1, -3/5, 1
Factor -h**4 - 7*h**3 - 16*h**2 - 12*h.
-h*(h + 2)**2*(h + 3)
Let s**3/2 + 287*s**2/4 + 1787*s/4 + 411/2 = 0. Calculate s.
-137, -6, -1/2
Solve -4*g**5/5 + 164*g**4/5 - 1416*g**3/5 - 5456*g**2/5 - 3872*g/5 = 0 for g.
-2, -1, 0, 22
Suppose 4*o**3 - 28*o**2 + 32*o + 64 = 0. Calculate o.
-1, 4
Factor -2*w**3/9 + 4*w**2/9 - 2*w/9.
-2*w*(w - 1)**2/9
Let 2*d**4/21 + 58*d**3/21 + 386*d**2/21 - 190*d/7 - 300/7 = 0. What is d?
-15, -1, 2
Let -2*w**4 + 8*w**3 - 4*w**2 - 8*w + 6 = 0. Calculate w.
-1, 1, 3
Find b such that 8*b**3/3 + 82*b**2 + 802*b/3 - 72 = 0.
-27, -4, 1/4
Factor 6*l**2 + 160*l/9 - 2/3.
2*(l + 3)*(27*l - 1)/9
Factor -2*v**4/9 + 158*v**3/9 + 160*v**2/9.
-2*v**2*(v - 80)*(v + 1)/9
Let -4*f**5/9 - 4*f**4 - 4*f**3/9 + 188*f**2/3 + 440*f/9 - 800/3 = 0. What is f?
-5, -4, 2, 3
Determine m, given that m**4 - 369*m**3 - 1113*m**2 - 1115*m - 372 = 0.
-1, 372
Factor -2*i**3 - 50*i**2 - 374*i - 726.
-2*(i + 3)*(i + 11)**2
Suppose 4*h**3/3 - 9226*h**2/3 + 5322248*h/3 - 2658818/3 = 0. Calculate h.
1/2, 1153
Factor 10*l**2/9 - 146*l/9 - 20/3.
2*(l - 15)*(5*l + 2)/9
Factor 5*h**5 - 15*h**4 + 20*h**2.
5*h**2*(h - 2)**2*(h + 1)
Suppose 5*k**3 + 110*k**2 + 185*k - 300 = 0. What is k?
-20, -3, 1
Suppose 4*k**2/9 - 428*k/3 - 1288/9 = 0. Calculate k.
-1, 322
Let u**3/2 + 37*u**2/2 + 31*u - 140 = 0. Calculate u.
-35, -4, 2
Factor c**4 - 2*c**3 - 7*c**2 - 4*c.
c*(c - 4)*(c + 1)**2
Factor -4*y**3 - 8400*y**2 - 5880000*y - 1372000000.
-4*(y + 700)**3
Suppose 36*i**5/5 - 84*i**4 + 1672*i**3/5 - 520*i**2 + 1236*i/5 - 36 = 0. Calculate i.
1/3, 3, 5
Factor -10*q**2 + 24*q + 162.
-2*(q + 3)*(5*q - 27)
Find b, given that 2*b**5/5 + 2*b**4 - 8*b**3/5 - 8*b**2 = 0.
-5, -2, 0, 2
Factor -2*h**3 + 54*h**2 - 148*h + 96.
-2*(h - 24)*(h - 2)*(h - 1)
Factor -2*w**2/3 - 608*w - 1822/3.
-2*(w + 1)*(w + 911)/3
Factor 2*w**3 - 54*w**2 - 56*w.
2*w*(w - 28)*(w + 1)
Suppose 4*h**3/3 + 76*h**2/3 - 80*h/3 = 0. What is h?
-20, 0, 1
Suppose 50*i**4/7 + 480*i**3/7 + 232*i**2/7 - 2976*i/7 + 2304/7 = 0. What is i?
-8, -4, 6/5
Factor -2*j**2 - 1650*j - 1648.
-2*(j + 1)*(j + 824)
Factor -d**3 - 11*d**2 - 36*d - 36.
-(d + 2)*(d + 3)*(d + 6)
Factor -3*w**3 + 11*w**2 + 24*w - 20.
-(w - 5)*(w + 2)*(3*w - 2)
Let 22*x**3/3 + 266*x**2/9 + 8*x/9 = 0. What is x?
-4, -1/33, 0
Factor i**3/5 + 7*i**2/5 + 12*i/5.
i*(i + 3)*(i + 4)/5
Factor h**3/5 - 39*h**2/5 + 216*h/5 + 256/5.
(h - 32)*(h - 8)*(h + 1)/5
Factor 2*d**4/5 - 576*d**3/5 + 41472*d**2/5.
2*d**2*(d - 144)**2/5
Solve -n**4/4 - n**3/2 + n**2 + n/2 - 3/4 = 0.
-3, -1, 1
Factor z**5/3 - 4*z**4/3 + 5*z**3/3 - 2*z**2/3.
z**2*(z - 2)*(z - 1)**2/3
Let 2*w**2/7 - 272*w/7 = 0. What is w?
0, 136
Factor -3*b**2 + 342*b + 696.
-3*(b - 116)*(b + 2)
Suppose 3*f**5/4 + 30*f**4 + 549*f**3/4 + 213*f**2 + 105*f = 0. Calculate f.
-35, -2, -1, 0
Suppose 3*c**5 - 24*c**4 + 66*c**3 - 72*c**2 + 27*c = 0. Calculate c.
0, 1, 3
Suppose -102*j**5 - 310*j**4 - 12*j**3 + 408*j**2 + 16*j = 0. What is j?
-2, -2/51, 0, 1
Factor -26*u**4/9 + 190*u**3/3 - 1034*u**2/3 - 242*u/9.
-2*u*(u - 11)**2*(13*u + 1)/9
Solve -2*v**3 - 86*v**2 - 1152*v - 4536 = 0.
-18, -7
Factor -z**4/4 + 5*z**3/2 - 17*z**2/4 - 7*z.
-z*(z - 7)*(z - 4)*(z + 1)/4
Factor -s**5/2 - 7*s**4 - 16*s**3 + 64*s**2.
-s**2*(s - 2)*(s + 8)**2/2
Suppose -2*i**2 + 333*i/2 - 83/2 = 0. Calculate i.
1/4, 83
What is h in -5*h**2/2 + 163*h/2 + 33 = 0?
-2/5, 33
Factor 21*q**2 + 276*q + 39.
3*(q + 13)*(7*q + 1)
Solve 19600*m**5/3 + 840*m**4 - 12799*m**3/3 + 4037*m**2/3 - 80*m + 4/3 = 0.
-1, 1/28, 2/5
Let -2*n**2/7 - 148*n/7 - 146/7 = 0. What is n?
-73, -1
Find t such that 15*t**4 - 5*t**3 - 45*t**2 - 15*t + 10 = 0.
-1, 1/3, 2
Factor -k**2/2 - 3*k/2.
-k*(k + 3)/2
Factor -5*a**2 - 4330*a - 937445.
-5*(a + 433)**2
Determine c so that -c**3/4 - 74*c**2 - 5476*c = 0.
-148, 0
Factor 5*j**3 - 155*j**2 + 295*j - 145.
5*(j - 29)*(j - 1)**2
Find t such that t**2 + 478*t + 57121 = 0.
-239
Factor 14*d**3/9 - 214*d**2/9 + 760*d/9 - 200/9.
2*(d - 10)*(d - 5)*(7*d - 2)/9
Factor -21*z**4 - 82*z**3 - 97*z**2 - 32*z + 4.
-(z + 1)**2*(z + 2)*(21*z - 2)
Suppose -p**4/4 + p**3/4 + 5*p**2/4 + 3*p/4 = 0. What is p?
-1, 0, 3
Solve 5*y**5/6 + 325*y**4/6 + 1705*y**3/2 - 1815*y**2/2 = 0 for y.
-33, 0, 1
Factor -3*y**2/2 - 102*y + 912.
-3*(y - 8)*(y + 76)/2
Let -147*u**3/4 + 252*u**2 + 153*u/4 - 21/2 = 0. What is u?
-2/7, 1/7, 7
What is q in -3*q**4 + 21*q**2 + 18*q = 0?
-2, -1, 0, 3
Solve 3*j**2 + 73*j/2 + 6 = 0.
-12, -1/6
Solve 2*o**5/11 - 4*o**4/11 - 4*o**3/11 + 8*o**2/11 + 2*o/11 - 4/11 = 0 for o.
-1, 1, 2
Let -5*q**4 - 50*q**3 - 160*q**2 - 190*q - 75 = 0. What is q?
-5, -3, -1
Factor -27*g**3 + 60*g**2 + 69*g - 18.
-3*(g - 3)*(g + 1)*(9*g - 2)
Factor 3*j**5/7 - 36*j**4/7 - 18*j**3 - 132*j**2/7 - 45*j/7.
3*j*(j - 15)*(j + 1)**3/7
Factor -t**3/3 + t**2/3 + 50*t/3 + 16.
-(t - 8)*(t + 1)*(t + 6)/3
Suppose -45*k**4/7 + 3*k**3/7 + 855*k**2/7 + 1293*k/7 - 90/7 = 0. Calculate k.
-3, -2, 1/15, 5
Factor 5*i**3 + 146*i**2 + 1005*i - 900.
(i + 15)**2*(5*i - 4)
Factor 2*g**3 + 4*g**2 - 264*g + 1008.
2*(g - 6)**2*(g + 14)
Suppose 4*h**4 + 568*h**3/3 - 2932*h**2/3 - 1040*h/3 = 0. Calculate h.
-52, -1/3, 0, 5
Suppose 6*x**5 + 189*x**4 + 870*x**3 + 297*x**2 - 390*x = 0. Calculate x.
-26, -5, -1, 0, 1/2
Suppose 3*a**2/4 - 87*a/4 - 45/2 = 0. What is a?
-1, 30
Factor 5*g**2 + 20*g - 25.
5*(g - 1)*(g + 5)
Factor 4*r**2 + 1576*r + 155236.
4*(r + 197)**2
Factor -3*x**4 - 201*x**3 + 411*x**2 - 207*x.
-3*x*(x - 1)**2*(x + 69)
Factor -3*k**4/2 - 45*k**3 - 351*k**2/2 + 2430*k - 4374.
-3*(k - 3)**2*(k + 18)**2/2
Determine m, given that 3*m**2 - 6162*m + 3164187 = 0.
1027
Factor -v**2/2 + 3881*v - 15062161/2.
-(v - 3881)**2/2
Let -2*z**2/3 + 6668*z/3 - 2222 = 0. What is z?
1, 3333
Suppose -j**3/2 + 2*j**2 + j/2 - 2 = 0. What is j?
-1, 1, 4
Solve 4*x**4 + 4*x**3 - 4*x**2 - 4*x = 0.
-1, 0, 1
Factor 2*j**4 - 82*j**3 + 592*j**2 - 512*j.
2*j*(j - 32)*(j - 8)*(j - 1)
Factor 5*u**2/3 - 73*u/3 - 10.
(u - 15)*(5*u + 2)/3
Factor -2*a**3/9 + 8*a**2/9 - 2*a/9 - 4/3.
-2*(a - 3)*(a - 2)*(a + 1)/9
Suppose 3*o**5/7 - 51*o**4/7 - 54*o**3 - 804*o**2/7 - 552*o/7 = 0. Calculate o.
-2, 0, 23
Suppose -3*n**5/5 + 6*n**4/5 + 84*n**3/5 - 24*n**2/5 - 288*n/5 = 0. Calculate n.
-4, -2, 0, 2, 6
Determine o, given that -3*o**2/4 - 3*o/2 + 6 = 0.
-4, 2
Factor -i**2 - 12*i - 11.
-(i + 1)*(i + 11)
Solve -32*j**3/3 + 6608*j**2/3 - 3298*j/3 + 412/3 = 0 for j.
1/4, 206
Suppose -30*p**3 - 205*p**2 - 265*p + 50 = 0. Calculate p.
-5, -2, 1/6
Suppose -2*k**4 + 8*k**3 = 0. Calculate k.
0, 4
Factor 196*w**4 - 504*w**3 + 240*w**2 - 32*w.
4*w*(w - 2)*(7*w - 2)**2
Factor -2*v**2/9 + 8*v/9.
-2*v*(v - 4)/9
Find g such that -15*g**4/4 + 177*g**3/8 + 69*g**2/4 - 177*g/2 - 9 = 0.
-2, -1/10, 2, 6
Factor -y**5 - 9*y**4 - 13*y**3 + 45*y**2 + 50*y.
-y*(y - 2)*(y + 1)*(y + 5)**2
Suppose 2*l**3 + 36*l**2 - 8*l - 144 = 0. Calculate l.
-18, -2, 2
Suppose 3*y**5/4 + 33*y**4/4 + 33*y**3 + 57*y**2 + 36*y = 0. What is y?
-4, -3, -2, 0
Factor 5*i**3/4 - 52*i**2 - 299*i/4 - 43/2.
(i - 43)*(i + 1)*(5*i + 2)/4
Factor 4*s**5 + 4*s**4 - 12*s**3 - 4*s**2 + 8*s.
4*s*(s - 1)**2*(s + 1)*(s + 2)
Solve -3*z**3 + 495*z**2 - 27225*z + 4991