
Determine c, given that 4*c**4 - 64*c**3 + 312*c**2 - 320*c - 700 = 0.
-1, 5, 7
Find l, given that -3*l**5 - 111*l**4 + 96*l**3 + 19524*l**2 - 128544*l + 227136 = 0.
-26, 4, 7
Find r, given that 2*r**2/3 + 648*r = 0.
-972, 0
Factor -10*j**3 + 5*j**2 + 10*j - 5.
-5*(j - 1)*(j + 1)*(2*j - 1)
Factor -4*x**3 - 4*x**2 + 8*x.
-4*x*(x - 1)*(x + 2)
Factor 3*j**3/4 - 21*j**2/2 + 33*j - 30.
3*(j - 10)*(j - 2)**2/4
Let -3*z**4 + 33*z**2 + 54*z + 24 = 0. Calculate z.
-2, -1, 4
Factor 5*m**2 + 2150*m + 231125.
5*(m + 215)**2
Determine p so that p**5/5 - 223*p**4/5 + 12319*p**3/5 + 12767*p**2/5 - 2464*p - 12544/5 = 0.
-1, 1, 112
Determine s so that 4*s**2/15 - 22*s/15 - 4/5 = 0.
-1/2, 6
Factor -5*n**3 + 195*n**2 + 405*n + 205.
-5*(n - 41)*(n + 1)**2
Solve -i**5 + 264*i**3 + 1798*i**2 + 1017*i - 3078 = 0 for i.
-9, -2, 1, 19
Solve 4*x**5 - 32*x**4 - 284*x**3 + 312*x**2 = 0.
-6, 0, 1, 13
Factor 4*y**3 + 84*y**2 + 588*y + 1372.
4*(y + 7)**3
Factor 3*d**3/2 - 33*d**2 + 144*d.
3*d*(d - 16)*(d - 6)/2
Factor 3*c**3 - 210*c**2 - 429*c - 216.
3*(c - 72)*(c + 1)**2
What is j in 4*j**2 + 84*j - 184 = 0?
-23, 2
Let 3*p**5/7 - 6*p**4/7 - 12*p**3/7 + 24*p**2/7 = 0. What is p?
-2, 0, 2
Suppose -580*v**2 - 1145*v + 30 = 0. Calculate v.
-2, 3/116
What is i in i**4 - 6*i**3 - 37*i**2 - 30*i = 0?
-3, -1, 0, 10
Find s such that 72*s**5/11 - 750*s**4/11 - 2248*s**3/11 - 2146*s**2/11 - 824*s/11 - 104/11 = 0.
-1, -2/3, -1/4, 13
Factor -z**2/2 - 492*z - 121032.
-(z + 492)**2/2
Let -2*k**4/7 + 22*k**3/7 - 16*k**2/7 - 376*k/7 + 96 = 0. Calculate k.
-4, 2, 6, 7
Determine i, given that 4*i**4 - 24*i**3 - 108*i**2 = 0.
-3, 0, 9
Let -12*d**2 + 1467*d - 366 = 0. What is d?
1/4, 122
Determine p so that -p**4 - 121*p**3 = 0.
-121, 0
Factor x**4/9 + x**3/9 - 2*x**2/3 - 4*x/9 + 8/9.
(x - 2)*(x - 1)*(x + 2)**2/9
Find t, given that 3*t**2/7 + 12*t/7 - 15/7 = 0.
-5, 1
Factor -d**3/5 + 7*d**2 - 98*d/5 + 64/5.
-(d - 32)*(d - 2)*(d - 1)/5
Let -147*x**5 - 47712*x**4 - 27228*x**3 - 3888*x**2 = 0. Calculate x.
-324, -2/7, 0
Suppose -3*m**4 - 9*m**3 + 48*m**2 - 36*m = 0. Calculate m.
-6, 0, 1, 2
Find a such that -3*a**4/2 - 192*a**3 - 381*a**2/2 = 0.
-127, -1, 0
Factor g**2/6 - 47*g/6 + 22.
(g - 44)*(g - 3)/6
Suppose 2*k**2 + 56*k + 392 = 0. What is k?
-14
Factor -2*i**3/11 + 38*i**2/11 - 200*i/11 + 24.
-2*(i - 11)*(i - 6)*(i - 2)/11
Solve -3*k**5/7 + 9*k**4/7 - 6*k**3/7 = 0.
0, 1, 2
Factor 2*c**4/3 - 29*c**3/3 - 47*c**2/3 - 16*c/3.
c*(c - 16)*(c + 1)*(2*c + 1)/3
Factor -3*z**5 + 78*z**4 + 762*z**3 + 1836*z**2 + 81*z - 2754.
-3*(z - 34)*(z - 1)*(z + 3)**3
Suppose -4*m**5/5 - 56*m**4 + 284*m**3/5 = 0. Calculate m.
-71, 0, 1
Factor n**3/3 + 2108*n**2/3 + 4213*n/3 + 702.
(n + 1)**2*(n + 2106)/3
Suppose -10*r**3/3 + 256*r**2 - 1016*r/5 + 608/15 = 0. What is r?
2/5, 76
Suppose i**4 - 5*i**3 + 7*i**2 - 3*i = 0. What is i?
0, 1, 3
Factor o**4/2 - 61*o**3 + 238*o**2 - 236*o.
o*(o - 118)*(o - 2)**2/2
Factor 5*m**4 - 700*m**3 - 2860*m**2 - 2880*m.
5*m*(m - 144)*(m + 2)**2
Factor 5*g**2 + 430*g + 9245.
5*(g + 43)**2
Solve 51*o**3 + 147*o**2 + 84*o - 12 = 0.
-2, -1, 2/17
Determine g, given that g**2/6 - 251*g/6 - 253/3 = 0.
-2, 253
Suppose 3*l**4 + 30*l**3 + 69*l**2 + 42*l = 0. What is l?
-7, -2, -1, 0
Factor 8*n**2/7 + 6*n + 10/7.
2*(n + 5)*(4*n + 1)/7
Find y such that y**4 + 11*y**3 + 27*y**2 + 25*y + 8 = 0.
-8, -1
Find p, given that -1075*p**2/2 - 1080*p - 10 = 0.
-2, -2/215
Solve 2*x**5 + 78*x**4 + 592*x**3 - 1512*x**2 = 0.
-27, -14, 0, 2
Solve -4*p**3 - 50*p**2 + 156*p + 90 = 0.
-15, -1/2, 3
Let -2*z**2 + 132*z + 414 = 0. Calculate z.
-3, 69
Factor -18*m**4 + 51*m**3 - 27*m**2 - 6*m.
-3*m*(m - 2)*(m - 1)*(6*m + 1)
Factor 2*t**2/3 - 10*t - 308/3.
2*(t - 22)*(t + 7)/3
Factor r**4/4 - 19*r**3/2 + 273*r**2/4 + 441*r.
r*(r - 21)**2*(r + 4)/4
What is g in 45*g**4/4 - 139*g**3/2 - 1077*g**2/4 - 305*g/2 + 36 = 0?
-2, -1, 8/45, 9
Factor -8*p**3 - 68*p**2 + 312*p - 288.
-4*(p - 2)*(p + 12)*(2*p - 3)
Factor 3*o**2 + 408*o.
3*o*(o + 136)
Solve 6*s**4 + 93*s**3/5 + 18*s**2/5 - 84*s/5 + 24/5 = 0 for s.
-2, 2/5, 1/2
Factor -19*p**2/3 + 73*p/6 + 1.
-(p - 2)*(38*p + 3)/6
Solve -4*o**3/9 - 28*o**2/3 - 160*o/3 - 400/9 = 0.
-10, -1
Solve -2*t**3/3 - 28*t**2/3 - 50*t/3 - 8 = 0.
-12, -1
Let -2*a**3 - 84*a**2 = 0. What is a?
-42, 0
Factor -3*i**2/4 + 270*i.
-3*i*(i - 360)/4
Find m, given that 14*m**5/11 - 1102*m**4/11 - 1436*m**3/11 - 320*m**2/11 = 0.
-1, -2/7, 0, 80
Factor -3*v**5 + 6*v**3 - 3*v.
-3*v*(v - 1)**2*(v + 1)**2
Let -4*b**4/7 + 116*b**3/7 + 124*b**2/7 - 116*b/7 - 120/7 = 0. What is b?
-1, 1, 30
Factor 2*r**5 - 14*r**4 + 24*r**3 + 8*r**2 - 32*r.
2*r*(r - 4)*(r - 2)**2*(r + 1)
What is v in 2*v**3/9 + 32*v**2/9 + 122*v/9 + 44/3 = 0?
-11, -3, -2
Factor l**4/5 - 2*l**3 - 37*l**2/5 - 26*l/5.
l*(l - 13)*(l + 1)*(l + 2)/5
Factor -6*k**3 - 40*k**2 - 72*k - 32.
-2*(k + 2)*(k + 4)*(3*k + 2)
What is r in r**5/2 - 4*r**4 + 11*r**3 - 12*r**2 + 9*r/2 = 0?
0, 1, 3
What is b in 6*b**5/5 - 321*b**4/5 + 5973*b**3/5 - 42789*b**2/5 + 78897*b/5 - 29478/5 = 0?
1/2, 2, 17
Find t, given that 4*t**3 + 8*t**2 - 28*t + 16 = 0.
-4, 1
Determine k, given that 3*k**5/4 + 45*k**4/4 - 1371*k**3/4 - 12333*k**2/4 + 47970*k + 50700 = 0.
-20, -1, 13
What is a in -a**2/9 + 166*a/3 - 6889 = 0?
249
Determine v so that -2*v**3/5 - 12*v**2/5 - 24*v/5 - 16/5 = 0.
-2
Factor 3*c**2 - 15*c + 12.
3*(c - 4)*(c - 1)
Factor 4*z**5 + 28*z**4 + 60*z**3 + 36*z**2.
4*z**2*(z + 1)*(z + 3)**2
Find c such that -3*c**2 + 12*c + 63 = 0.
-3, 7
Factor -2*f**2 + 208*f + 642.
-2*(f - 107)*(f + 3)
Factor 2*b**3/3 - 1322*b**2/3 + 217798*b/3 + 219122/3.
2*(b - 331)**2*(b + 1)/3
Find o such that 3*o**2/5 - 207*o/5 + 2652/5 = 0.
17, 52
Factor -2*n**3/3 + 76*n**2 - 670*n/3 + 148.
-2*(n - 111)*(n - 2)*(n - 1)/3
Determine p, given that 5*p**2 - 175*p - 1980 = 0.
-9, 44
Find d such that d**3 + 113*d**2 + 3135*d - 3249 = 0.
-57, 1
Determine j so that -j**2 - 286*j - 20449 = 0.
-143
Factor -s**5/4 + 3*s**4/4 - s**3/2 - s**2/2 + 3*s/4 - 1/4.
-(s - 1)**4*(s + 1)/4
Factor 2*w**3/5 - 180*w**2 + 27000*w - 1350000.
2*(w - 150)**3/5
Suppose f**4 - 46*f**3 + 573*f**2 - 1012*f + 484 = 0. What is f?
1, 22
Factor 5*k**2 - 995*k - 4060.
5*(k - 203)*(k + 4)
Factor -3*n**3 + 216*n**2 - 828*n + 816.
-3*(n - 68)*(n - 2)**2
Factor 8*b**5 - 46*b**4 + 84*b**3 - 56*b**2 + 4*b + 6.
2*(b - 3)*(b - 1)**3*(4*b + 1)
What is i in -3*i**4 - 30*i**3 - 24*i**2 + 30*i + 27 = 0?
-9, -1, 1
Factor -2*i**2/5 - 168*i/5 - 3528/5.
-2*(i + 42)**2/5
Find h, given that 2*h**4 - 14*h**3 + 12*h**2 + 64*h - 64 = 0.
-2, 1, 4
Find y such that -4*y**5/5 + 52*y**4/5 - 132*y**3/5 + 124*y**2/5 - 8*y = 0.
0, 1, 10
Factor 2*k**4/5 + 92*k**3/5 + 222*k**2/5 - 1548*k/5.
2*k*(k - 3)*(k + 6)*(k + 43)/5
Factor -4*z**2 - 6772*z + 6776.
-4*(z - 1)*(z + 1694)
Let t**3 - 59*t**2 + 660*t = 0. Calculate t.
0, 15, 44
Suppose -3*c**3 - 12*c**2 + 705*c + 714 = 0. What is c?
-17, -1, 14
Factor 25*d**4 + 285*d**3 + 110*d**2.
5*d**2*(d + 11)*(5*d + 2)
Let 22*r**2/3 - 4*r/9 = 0. What is r?
0, 2/33
What is r in -2*r**4/5 - 36*r**3/5 - 174*r**2/5 - 28*r = 0?
-10, -7, -1, 0
Determine p so that -3*p**5/5 + 12*p**4/5 + 3*p**3/5 - 12*p**2/5 = 0.
-1, 0, 1, 4
Factor -l**3/8 + 21*l**2/8 - 7*l + 9/2.
-(l - 18)*(l - 2)*(l - 1)/8
Let -q**3 - 4*q**2 = 0. What is q?
-4, 0
Find b such that b**4/4 - 3*b**3/4 - b**2/2 + 3*b - 2 = 0.
-2, 1, 2
Determine y, given that -y**4 - 23*y**3 - 134*y**2 - 112*y = 0.
-14, -8, -1, 0
Factor 49*g**4 - 3990*g**3 + 80077*g**2 + 46740*g + 6724.
(g - 41)**2*(7*g + 2)**2
Factor -u**4/5 + 28*u**3/5 - 94*u**2/5 - 1428*u/5 - 2601/5.
-(u - 17)**2*(u + 3)**2/5
Solve -3*b**5/2 + 159*b**4/2 - 1293*b**3 + 7617*b**2 - 23331*b/2 + 10527/2 = 0 for b.
1, 11, 29
Determine l, given that -9*l**4 - 69*l**3 + 108*l**2 = 0.
-9, 0, 4/3
Let 4*t**2 + 3636*t + 7256 = 0. Calculate t.
-907, -2
Find r, given that -2*r**2/15 - 148*r/15 - 2738/15 = 0.
-37
Suppose 4*a**3 - 244*a**2 + 3036*a + 21780 = 0. What is a?
-5, 33
Factor -2*q**3 - 42*q**2 + 314*q - 270.
-2*(q - 5)*(q - 1)*(q + 27)
Factor 185*x**3 - 400*x**2 + 245*x - 30.
5*(x - 1)**2*(37*x - 6)
Factor 2*y**2 + 392*y + 390.
2*(y + 1)*(y + 195)
Suppose -2*q**3 + 18*q**2 + 290*q - 306 = 0. What is q?
-9, 1, 17
Factor 2*q**3 - 9026*q**2 + 10188096*q - 10179072.
2*(q - 2256)**2*(q - 1)
Find o such that -5*o**3 + 10*o*