
Factor -5*k**2 + 5*k + 100.
-5*(k - 5)*(k + 4)
Determine q so that 3*q**3/4 + 180*q**2 + 711*q/4 - 717/2 = 0.
-239, -2, 1
Factor 3*c**3/7 - 48*c**2/7 + 213*c/7 - 24.
3*(c - 8)*(c - 7)*(c - 1)/7
Factor 6*q**4/11 - 600*q**3/11 - 8064*q**2/11.
6*q**2*(q - 112)*(q + 12)/11
Factor -4*y**2 + 12*y - 8.
-4*(y - 2)*(y - 1)
Factor z**3/3 - 305*z**2/3 + 23408*z/3 - 23104/3.
(z - 152)**2*(z - 1)/3
Find u, given that u**3 + u**2 - 2*u = 0.
-2, 0, 1
Let -3*z**4 - 165*z**3 - 321*z**2 - 159*z = 0. What is z?
-53, -1, 0
Factor -u**2 - 91*u + 3042.
-(u - 26)*(u + 117)
Determine f so that -2*f**2 - 412*f = 0.
-206, 0
Factor -4*v**2 - 536*v.
-4*v*(v + 134)
Factor 2*s**2/9 - 14512*s/9 + 26324768/9.
2*(s - 3628)**2/9
Find i, given that -2*i**2/3 + 38*i/3 = 0.
0, 19
Find c, given that -c**4/2 + 3*c**2 - 4*c + 3/2 = 0.
-3, 1
Factor -m**2/5 + 92*m/5 - 36.
-(m - 90)*(m - 2)/5
Let f**4/2 - 5*f**3 + 2*f**2 + 21*f + 27/2 = 0. What is f?
-1, 3, 9
Factor -1458*y**3/5 - 3834*y**2/5 - 3344*y/5 - 968/5.
-2*(y + 1)*(27*y + 22)**2/5
Factor 2*t**2/7 - 876*t + 671454.
2*(t - 1533)**2/7
Factor -u**2/5 + 1968*u/5 - 968256/5.
-(u - 984)**2/5
Factor -4*g**4/5 + 32*g**3/5 - 28*g**2/5.
-4*g**2*(g - 7)*(g - 1)/5
Factor -r**4/3 + 2*r**3/3 + 21*r**2.
-r**2*(r - 9)*(r + 7)/3
Determine j so that -12*j**3 + 68*j**2 + 216*j + 64 = 0.
-2, -1/3, 8
Find w such that -4*w**4 + 672*w**3 - 42336*w**2 + 1185408*w - 12446784 = 0.
42
Suppose -80*d**4 - 4840*d**3 - 7125*d**2 - 2660*d - 295 = 0. Calculate d.
-59, -1, -1/4
What is f in -3*f**5 + 177*f**4 - 2694*f**3 + 2346*f**2 + 2697*f - 2523 = 0?
-1, 1, 29
Solve 3*w**2 + 45*w + 42 = 0.
-14, -1
Factor -4*v**2/5 - 316*v/5.
-4*v*(v + 79)/5
Suppose 5*x**4 + 5920*x**3 - 5930*x**2 - 5920*x + 5925 = 0. Calculate x.
-1185, -1, 1
Factor a**2 + 501*a - 2530.
(a - 5)*(a + 506)
Suppose 4*f**2 - 80*f - 276 = 0. Calculate f.
-3, 23
Factor t**4/3 + 18*t**3 + 829*t**2/3 + 900*t + 2500/3.
(t + 2)**2*(t + 25)**2/3
Factor 55*s**2 + 65165*s - 11850.
5*(s + 1185)*(11*s - 2)
Factor -4*u**3/7 - 320*u**2/7 - 7488*u/7 - 41472/7.
-4*(u + 8)*(u + 36)**2/7
What is a in -a**4 - 2*a**3 + 5*a**2 + 6*a = 0?
-3, -1, 0, 2
Factor 3*n**2 + 1956*n + 318828.
3*(n + 326)**2
Factor 2*b**4 + 16*b**3 - 66*b**2.
2*b**2*(b - 3)*(b + 11)
Suppose 3*l**3/2 - 3*l**2/2 - 9*l = 0. Calculate l.
-2, 0, 3
Factor 2*m**3/11 + 14*m**2/11 + 4*m/11 - 80/11.
2*(m - 2)*(m + 4)*(m + 5)/11
Solve -l**2 - 28*l - 27 = 0.
-27, -1
Let -3*a**2/2 - 3165*a/2 - 3159 = 0. Calculate a.
-1053, -2
Let 2*x**5/19 + 4*x**4/19 - 4*x**2/19 - 2*x/19 = 0. What is x?
-1, 0, 1
Factor -5*q**3 + 685*q**2 - 23800*q + 23120.
-5*(q - 68)**2*(q - 1)
Factor -2*r**4/9 - 4*r**3/3 + 10*r**2/3 - 16*r/9.
-2*r*(r - 1)**2*(r + 8)/9
Determine v, given that v**3/8 - 245*v**2/2 + 241077*v/8 - 239121/4 = 0.
2, 489
Determine o so that o**5/2 + 129*o**4/2 + 2347*o**3 + 17040*o**2 + 25200*o = 0.
-60, -7, -2, 0
Find u, given that -u**2 + 356*u + 1077 = 0.
-3, 359
Factor -3*i**4 - 411*i**3 - 14280*i**2 - 13872*i.
-3*i*(i + 1)*(i + 68)**2
Factor -x**2/2 + 10029*x/2.
-x*(x - 10029)/2
Factor -3*p**2 - 534*p + 1629.
-3*(p - 3)*(p + 181)
Find z such that -2*z**3/7 - 194*z**2/7 - 4800*z/7 - 4608/7 = 0.
-48, -1
Solve -g**3/4 + 125*g**2/4 + 263*g + 399 = 0.
-6, -2, 133
Let 725*d**5/2 - 15565*d**4/2 + 17355*d**3 - 6670*d**2 + 380*d = 0. What is d?
0, 2/29, 2/5, 2, 19
Factor 16*a**3 - 676*a**2 + 168*a.
4*a*(a - 42)*(4*a - 1)
Factor -2*b**4/7 + 1468*b**3/7 - 270842*b**2/7 + 537288*b/7 - 267912/7.
-2*(b - 366)**2*(b - 1)**2/7
Suppose 27*c**4 + 516*c**3 + 2730*c**2 + 2484*c + 243 = 0. Calculate c.
-9, -1, -1/9
Solve -c**4/10 + 11*c**3/5 + 183*c**2/10 - 1672*c/5 - 11552/5 = 0 for c.
-8, 19
Factor -3*q**2/2 + 9*q/2 + 27.
-3*(q - 6)*(q + 3)/2
Let 10*m**5/17 + 44*m**4/17 - 40*m**3/17 - 44*m**2/17 + 30*m/17 = 0. What is m?
-5, -1, 0, 3/5, 1
Factor -5*n**4 - 630*n**3 - 2440*n**2.
-5*n**2*(n + 4)*(n + 122)
Let 5*r**4/3 - 725*r**3/3 + 715*r**2 - 2135*r/3 + 710/3 = 0. What is r?
1, 142
Let 10*y**4/3 - 88*y**3 - 806*y**2/3 + 508*y - 464/3 = 0. Calculate y.
-4, 2/5, 1, 29
Suppose x**2 + 620*x - 621 = 0. What is x?
-621, 1
Solve 2*h**2 + 840*h - 842 = 0 for h.
-421, 1
Determine r, given that -4*r**5 + 108*r**4 - 668*r**3 - 892*r**2 + 672*r + 784 = 0.
-1, 1, 14
Find t such that t**2/3 + 32*t/9 + 20/9 = 0.
-10, -2/3
Suppose 2*d**4 - 60*d**3 - 264*d**2 - 272*d = 0. What is d?
-2, 0, 34
Factor -3*s**3 - 45*s**2 - 42*s.
-3*s*(s + 1)*(s + 14)
Factor 4*f**3/3 + 784*f**2/3 - 528*f.
4*f*(f - 2)*(f + 198)/3
Determine i, given that 4*i**3 + 708*i**2 + 41772*i + 821516 = 0.
-59
Factor 5*z**2 + 3050*z + 465125.
5*(z + 305)**2
Factor -i**2 + 71*i - 70.
-(i - 70)*(i - 1)
Factor -2*k**3/11 - 140*k**2/11 - 266*k/11 + 408/11.
-2*(k - 1)*(k + 3)*(k + 68)/11
What is m in -2*m**3 + 84*m**2 + 378*m - 460 = 0?
-5, 1, 46
Determine u so that -2*u**2/21 - 410*u/21 - 796/7 = 0.
-199, -6
Factor -3*n**2 + 2310*n + 2313.
-3*(n - 771)*(n + 1)
Let -n**3 - 41*n**2 - 215*n - 175 = 0. Calculate n.
-35, -5, -1
Solve -12*b**3 + 596*b**2 + 208*b - 400 = 0.
-1, 2/3, 50
Factor -2*z**4/13 + 48*z**3/13 - 18*z**2 + 324*z/13.
-2*z*(z - 18)*(z - 3)**2/13
Determine b so that -2*b**4 - 96*b**3 - 1150*b**2 + 96*b + 1152 = 0.
-24, -1, 1
Solve 2*z**4/13 + 158*z**3/13 - 852*z**2/13 - 1008*z/13 = 0.
-84, -1, 0, 6
Suppose -3*s**4 - 36*s**3 + 231*s**2 - 396*s + 204 = 0. Calculate s.
-17, 1, 2
Find g, given that -2*g**2/9 - 16*g/9 + 256/9 = 0.
-16, 8
Determine n so that -3*n**5 - 671*n**4 - 36730*n**3 + 88254*n**2 - 63619*n + 12769 = 0.
-113, 1/3, 1
Factor 165*z**2 - 505*z + 150.
5*(3*z - 1)*(11*z - 30)
Let -20*h**4 + 126*h**3 - 208*h**2 + 6*h + 72 = 0. Calculate h.
-1/2, 4/5, 3
What is n in 18*n**3 + 338*n**2 - 76*n = 0?
-19, 0, 2/9
Determine p so that -3*p**3 + 309*p**2 - 597*p - 909 = 0.
-1, 3, 101
Factor 2*b**3/11 - 8*b**2/11 - 62*b/11 + 140/11.
2*(b - 7)*(b - 2)*(b + 5)/11
Factor d**3/3 + 2*d**2 - 19*d/3 - 8.
(d - 3)*(d + 1)*(d + 8)/3
Factor -4*n**4/9 - 4*n**3/9 + 4*n**2/9 + 4*n/9.
-4*n*(n - 1)*(n + 1)**2/9
Let -3*k**5 + 120*k**4 - 639*k**3 + 918*k**2 = 0. What is k?
0, 3, 34
Factor -6*c**3/7 - 48*c**2/7 - 72*c/7.
-6*c*(c + 2)*(c + 6)/7
Factor -3*q**3 + 39*q**2 - 153*q + 189.
-3*(q - 7)*(q - 3)**2
Factor 5*o**3 - 4725*o**2 + 1118640*o - 1113920.
5*(o - 472)**2*(o - 1)
Factor -5*u**3 - 12*u**2 - 9*u - 2.
-(u + 1)**2*(5*u + 2)
Factor 3*s**3/2 - 447*s**2/2 + 8436*s - 8214.
3*(s - 74)**2*(s - 1)/2
Suppose -b**2 - 2*b + 8 = 0. What is b?
-4, 2
Determine m, given that 32*m**4 - 28*m**3 - 4*m**2 = 0.
-1/8, 0, 1
What is n in -n**5 + 27*n**4 - 157*n**3 + 357*n**2 - 346*n + 120 = 0?
1, 2, 3, 20
What is z in 8*z**2/9 + 6*z + 70/9 = 0?
-5, -7/4
What is i in i**2 + 156*i + 155 = 0?
-155, -1
Let -3*f**4/4 - 3*f**3/2 + 63*f**2/4 - 27*f/2 = 0. What is f?
-6, 0, 1, 3
Determine d, given that -3*d**4/4 - 9*d**3/8 - 3*d**2/8 = 0.
-1, -1/2, 0
Factor 9*s**2/4 + 4*s - 1.
(s + 2)*(9*s - 2)/4
Let g**3/2 + 701*g**2/2 + 122499*g/2 - 123201/2 = 0. Calculate g.
-351, 1
Factor a**3 - 156*a**2 + 6084*a.
a*(a - 78)**2
Let -2*d**3 - 50*d**2 - 286*d + 338 = 0. Calculate d.
-13, 1
What is k in k**5/5 - 4*k**4/5 - 76*k**3 - 480*k**2 = 0?
-10, 0, 24
Determine m so that 2*m**5 - 266*m**4 - 1086*m**3 - 1366*m**2 - 548*m = 0.
-2, -1, 0, 137
What is i in -27*i**2/7 - 673*i/7 + 50/7 = 0?
-25, 2/27
Factor 2*m**3 + 212*m**2 + 824*m + 816.
2*(m + 2)**2*(m + 102)
Determine t, given that -t**2/2 + 138*t + 277/2 = 0.
-1, 277
Let 2*f**3/5 - 66*f**2/5 - 642*f/5 - 574/5 = 0. What is f?
-7, -1, 41
Factor 2*n**3/23 - 4*n**2 + 86*n/23 + 180/23.
2*(n - 45)*(n - 2)*(n + 1)/23
Let 27*f**5 + 133*f**4 - 10*f**3 = 0. What is f?
-5, 0, 2/27
Factor 2*t**5/19 - 22*t**4/19 + 48*t**3/19 + 72*t**2/19.
2*t**2*(t - 6)**2*(t + 1)/19
Factor -5*c**2/4 + 3345*c/2 - 3340.
-5*(c - 1336)*(c - 2)/4
Solve -6*s**5 - 136*s**4 - 286*s**3 + 6084*s**2 - 1736*s - 3920 = 0.
-14, -2/3, 1, 5
Solve -2*y**5/3 - 194*y**4/3 - 190*y**3 - 566*y**2/3 - 188*y/3 = 0 for y.
-94, -1, 0
Suppose 4*g**5 - 600*g**4 + 23092*g**3 - 44400*g**2 + 21904*g = 0. Calculate g.
0, 1, 74
Find u, given that -2*u**4/7 + 124*u**3/7 - 1794*u**2/7 - 3968*u/7 - 2048/7 = 0.
-1, 32
Suppose -s**2/6 + 1399*s - 5871603/2 = 0. What is s?
4197
Factor s**4/6 - 5*s**3/6 + 3*s**2/2 - 7*s/6 + 1/3.
(s - 2)*(s - 1)**3/6
Find w such that -2*w**5/13 + 40*w*