*s**2 + 100*s - 32 = 0.
1, 2, 8
Let 3*g**2 - 135*g + 378 = 0. Calculate g.
3, 42
Factor 4*o**3 - 8*o**2 - 124*o - 112.
4*(o - 7)*(o + 1)*(o + 4)
Let 729*d**4/5 - 5886*d**3/5 + 12097*d**2/5 - 872*d/5 + 16/5 = 0. What is d?
1/27, 4
Find h, given that h**4/2 + h**3 - 19*h**2/2 - 10*h = 0.
-5, -1, 0, 4
Factor 2*k**4/19 - 16*k**3/19 + 36*k**2/19 - 32*k/19 + 10/19.
2*(k - 5)*(k - 1)**3/19
Factor 5*v**2 - 6615*v - 6620.
5*(v - 1324)*(v + 1)
Suppose -2*s**2/5 - 62*s = 0. Calculate s.
-155, 0
Let 8*w**2/3 - 130*w/3 + 136 = 0. Calculate w.
17/4, 12
Factor 2*r**5 + 46*r**4 - 208*r**3 + 216*r**2.
2*r**2*(r - 2)**2*(r + 27)
Suppose -11*t**5 + 68*t**4 - 155*t**3 + 158*t**2 - 68*t + 8 = 0. What is t?
2/11, 1, 2
Factor -2*c**2 - 102*c - 756.
-2*(c + 9)*(c + 42)
Solve 20*h**5 + 116*h**4 + 216*h**3 + 112*h**2 - 32*h = 0 for h.
-2, 0, 1/5
Suppose -21*a**5 + 111*a**4 + 306*a**3 - 1776*a**2 + 480*a = 0. Calculate a.
-4, 0, 2/7, 4, 5
Find l, given that -3*l**5 - 126*l**4 - 1119*l**3 - 972*l**2 + 5820*l - 3600 = 0.
-30, -10, -4, 1
Factor -5*g**2 + 45*g + 180.
-5*(g - 12)*(g + 3)
Factor -2*x**5/3 - 68*x**4/3 - 320*x**3/3 + 1600*x**2.
-2*x**2*(x - 6)*(x + 20)**2/3
Factor z**3/9 - 165*z**2 + 184016*z/3 - 550564/9.
(z - 742)**2*(z - 1)/9
Determine u so that -4*u**3/5 - 64*u**2/5 - 252*u/5 = 0.
-9, -7, 0
Let -q**5 - 7*q**4 + 9*q**3 + 59*q**2 - 40*q - 84 = 0. Calculate q.
-7, -3, -1, 2
Factor 2*l**2/11 - 1514*l/11 + 1512/11.
2*(l - 756)*(l - 1)/11
Determine f so that f**4/4 + 51*f**3/2 + 97*f**2/4 - 102*f - 101 = 0.
-101, -2, -1, 2
Factor -2*x**4/3 - 2*x**3.
-2*x**3*(x + 3)/3
Factor 4*p**4 - 168*p**3 - 540*p**2 - 16*p + 720.
4*(p - 45)*(p - 1)*(p + 2)**2
Solve 5*k**2 - 5290*k + 1399205 = 0.
529
Suppose -10*q**2/9 + 134*q/9 - 56/3 = 0. What is q?
7/5, 12
Determine d so that -4*d**2 - 40*d + 1344 = 0.
-24, 14
Suppose m**2/3 - 2*m - 7/3 = 0. What is m?
-1, 7
Determine r so that 3*r**4/5 + 81*r**3/5 + 153*r**2/5 + 15*r = 0.
-25, -1, 0
Factor -x**3/2 - 31*x**2/2 - 319*x/2 - 1089/2.
-(x + 9)*(x + 11)**2/2
Determine p so that 5*p**4 + 30*p**3 + 45*p**2 + 20*p = 0.
-4, -1, 0
Factor 105*k**3 + 515*k**2 - 680*k + 60.
5*(k - 1)*(k + 6)*(21*k - 2)
Factor -4*n**3 - 144*n**2 - 1140*n + 1288.
-4*(n - 1)*(n + 14)*(n + 23)
Factor i**3/2 + 41*i**2 + 1833*i/2 + 3042.
(i + 4)*(i + 39)**2/2
Factor 2*z**4/17 + 4*z**3 + 130*z**2/17 + 64*z/17.
2*z*(z + 1)**2*(z + 32)/17
Factor -6*d**3/5 - 12*d**2 - 96*d/5.
-6*d*(d + 2)*(d + 8)/5
Find k, given that -4*k**5/3 - 72*k**4 - 800*k**3/3 = 0.
-50, -4, 0
Find l such that 7*l**3/3 + 31*l**2/6 - 31*l/6 + 1 = 0.
-3, 2/7, 1/2
Let 4*x**3/5 - 48*x**2/5 + 68*x/5 + 24 = 0. What is x?
-1, 3, 10
Let -2*h**2 + 6*h + 8 = 0. Calculate h.
-1, 4
What is t in -2*t**4/13 - 2*t**3 + 46*t**2/13 + 18*t - 252/13 = 0?
-14, -3, 1, 3
Factor 4*d**3 + 212*d**2 - 4*d - 212.
4*(d - 1)*(d + 1)*(d + 53)
Factor 5*r**3 - 105*r**2 + 195*r + 4225.
5*(r - 13)**2*(r + 5)
Factor -5*b**4 - 65*b**3 + 75*b**2 + 65*b - 70.
-5*(b - 1)**2*(b + 1)*(b + 14)
Factor 9*i**3/2 + 15*i**2 - 23*i/2 + 2.
(i + 4)*(3*i - 1)**2/2
Let o**3/3 + 3*o**2 - 10*o - 88/3 = 0. What is o?
-11, -2, 4
Determine z so that -5*z**5 + 325*z**4 - 4755*z**3 - 17665*z**2 + 4760*z + 17340 = 0.
-3, -1, 1, 34
Suppose -k**3/2 + 22*k**2 - 437*k/2 - 529 = 0. What is k?
-2, 23
Find r, given that 4*r**4 + 50*r**3 + 66*r**2 = 0.
-11, -3/2, 0
Suppose 4*v**5/7 + 20*v**4/7 + 36*v**3/7 + 4*v**2 + 8*v/7 = 0. What is v?
-2, -1, 0
Let -4*v**2/5 - 149*v/10 - 9 = 0. Calculate v.
-18, -5/8
Find k such that 6*k**5/5 - 24*k**3/5 - 12*k**2/5 + 18*k/5 + 12/5 = 0.
-1, 1, 2
Let 3*u**2/4 + 45*u + 177/4 = 0. Calculate u.
-59, -1
Factor a**3/6 + 2*a**2/3 - 10*a - 48.
(a - 8)*(a + 6)**2/6
Determine d so that d**5/5 - 14*d**4/5 - 7*d**3/5 + 104*d**2/5 - 84*d/5 = 0.
-3, 0, 1, 2, 14
Suppose d**3/3 + 16*d**2/3 - 33*d + 42 = 0. Calculate d.
-21, 2, 3
Factor 26*r**3/11 + 28*r**2/11 - 48*r/11.
2*r*(r + 2)*(13*r - 12)/11
Find p such that -2*p**3/21 + 1056*p**2/7 + 9518*p/21 + 2116/7 = 0.
-2, -1, 1587
Factor 4*k**4 - 80*k**3 - 4*k**2 + 80*k.
4*k*(k - 20)*(k - 1)*(k + 1)
Find o such that -2*o**2 - 12*o + 80 = 0.
-10, 4
Factor 14*f**2 - 132*f + 54.
2*(f - 9)*(7*f - 3)
Factor -2*u**2/5 - 1676*u/5 - 351122/5.
-2*(u + 419)**2/5
Suppose -2*x**4 - 240*x**3 - 6862*x**2 - 60408*x - 53784 = 0. What is x?
-83, -18, -1
Factor -2*i**3/3 - 124*i**2/3 - 1670*i/3 - 516.
-2*(i + 1)*(i + 18)*(i + 43)/3
Find u such that 4*u**3 - 196*u**2 - 832*u - 848 = 0.
-2, 53
Find c, given that -c**5/3 + 14*c**4 + c**3/3 - 14*c**2 = 0.
-1, 0, 1, 42
Factor 3*n**3 - 174*n**2 + 1155*n + 44100.
3*(n - 35)**2*(n + 12)
Factor -x**5/6 + 3*x**4/2 - 7*x**3/2 + 19*x**2/6 - x.
-x*(x - 6)*(x - 1)**3/6
Let k**4 - 6*k**3 - 28*k**2 + 6*k + 27 = 0. What is k?
-3, -1, 1, 9
What is p in -5*p**5 - 530*p**4 - 13500*p**3 + 29160*p**2 = 0?
-54, 0, 2
Find b, given that -b**4/4 - 15*b**3/2 - 81*b**2 - 729*b/2 - 2187/4 = 0.
-9, -3
Factor -10*r**3 - 501*r**2 - 6300*r - 625.
-(r + 25)**2*(10*r + 1)
Solve -4*l**3 + 8*l**2 + 4*l - 8 = 0.
-1, 1, 2
Factor 2*j**3 - 1422*j**2 + 252048*j + 253472.
2*(j - 356)**2*(j + 1)
Solve 19*v**2 - 169*v - 18 = 0 for v.
-2/19, 9
Find p, given that -3*p**2 - 78*p - 75 = 0.
-25, -1
Solve 4*v**3/3 - 5*v**2/3 - 6*v - 3 = 0.
-1, -3/4, 3
Factor 3*j**3 + 3*j**2 - 27*j - 27.
3*(j - 3)*(j + 1)*(j + 3)
Solve 4*g**3 - 84*g**2 + 540*g - 972 = 0.
3, 9
Let 2*l**4/7 + 40*l**3/7 - 26*l**2 + 236*l/7 - 96/7 = 0. Calculate l.
-24, 1, 2
Let -3*s**3/5 - 231*s**2 - 9096*s/5 - 18096/5 = 0. What is s?
-377, -4
Let -4*q**2/7 + 10200*q/7 - 6502500/7 = 0. What is q?
1275
Factor a**5/6 - 41*a**4/6 + 133*a**3/2 + 147*a**2/2.
a**2*(a - 21)**2*(a + 1)/6
Factor v**4/4 + 3*v**3/4 - 9*v**2/4 - 27*v/4.
v*(v - 3)*(v + 3)**2/4
Factor 2*c**5 + 34*c**4 + 68*c**3 - 428*c**2 + 506*c - 182.
2*(c - 1)**3*(c + 7)*(c + 13)
Let 3*j**2/8 - 195*j/8 - 201/4 = 0. Calculate j.
-2, 67
Let -2*f**5/3 + 14*f**4/3 + 82*f**3/3 + 22*f**2 = 0. What is f?
-3, -1, 0, 11
Solve 7*n**5/3 + 2*n**4/3 = 0 for n.
-2/7, 0
Factor -o**5 - 8*o**4 + 51*o**3 + 310*o**2 - 736*o + 384.
-(o - 6)*(o - 1)**2*(o + 8)**2
Factor 4*j**3 - 28*j**2 + 16*j + 48.
4*(j - 6)*(j - 2)*(j + 1)
Determine o, given that -4*o**3/3 + 4*o**2/3 + 16*o = 0.
-3, 0, 4
What is r in -2*r**5 - 24*r**4 + 4*r**3 + 48*r**2 - 2*r - 24 = 0?
-12, -1, 1
Solve x**2 + 2417*x - 2418 = 0 for x.
-2418, 1
Find q such that -q**2/5 + 38*q/5 + 16 = 0.
-2, 40
Factor 3*k**3 - 39*k**2 + 36*k.
3*k*(k - 12)*(k - 1)
What is o in 2*o**4/3 - 2*o**3 - 16*o**2 + 56*o/3 + 32 = 0?
-4, -1, 2, 6
Determine d, given that d**2/2 - 11*d/2 - 13 = 0.
-2, 13
Suppose -20*b**2 + 1904*b - 380 = 0. Calculate b.
1/5, 95
Let -3*k**5 + 30*k**4 + 60*k**3 - 600*k**2 - 1920*k - 1536 = 0. What is k?
-2, 8
Factor 2*b**4/7 - 2*b**3/7 - 6*b**2/7 + 2*b/7 + 4/7.
2*(b - 2)*(b - 1)*(b + 1)**2/7
Solve 3*g**5 - 129*g**4 - 132*g**3 = 0.
-1, 0, 44
Factor -3*x**3 + 5895*x**2 - 3861225*x + 843034125.
-3*(x - 655)**3
Find o, given that -2*o**2/7 - 316*o/7 - 176 = 0.
-154, -4
Factor -2*g**5/11 + 4*g**4/11 - 4*g**2/11 + 2*g/11.
-2*g*(g - 1)**3*(g + 1)/11
Factor -6*p**3 + 23*p**2/2 - 15*p/4 - 7/4.
-(p - 1)*(4*p + 1)*(6*p - 7)/4
Factor -3*w**2/8 + 93*w/8.
-3*w*(w - 31)/8
Factor -4*x**3/7 + 16*x**2/7 + 12*x/7 - 72/7.
-4*(x - 3)**2*(x + 2)/7
What is o in 5*o**2 + 350*o + 680 = 0?
-68, -2
Solve 4*v**3 - 164*v**2 + 152*v + 320 = 0.
-1, 2, 40
Find a, given that -a**5/3 - 13*a**4/3 - 56*a**3/3 - 92*a**2/3 - 16*a = 0.
-6, -4, -2, -1, 0
Factor 2*j**3/3 + 12*j**2 + 22*j + 32/3.
2*(j + 1)**2*(j + 16)/3
Suppose 2*k**4/5 + 2*k**3/5 - 32*k**2/5 + 8*k = 0. What is k?
-5, 0, 2
Factor -c**2 - 273*c + 274.
-(c - 1)*(c + 274)
Factor -7*y**3 - 48*y**2 + 7*y.
-y*(y + 7)*(7*y - 1)
Find v, given that 30*v**4 + 93*v**3 + 42*v**2 - 93*v - 72 = 0.
-8/5, -3/2, -1, 1
Factor -2*z**2/19 - 108*z/19 - 208/19.
-2*(z + 2)*(z + 52)/19
Factor -4*u**3 - 388*u**2 + 788*u - 396.
-4*(u - 1)**2*(u + 99)
Factor -2*l**2/7 - 272*l/7 - 360.
-2*(l + 10)*(l + 126)/7
Factor -3*f**2 + 1992*f + 1995.
-3*(f - 665)*(f + 1)
Factor -5*z**4 - 2*z**3 + 240*z**2 - 544*z - 256.
-(z - 4)**2*(z + 8)*(5*z + 2)
Suppose 3*q**2 + 156*q + 2028 = 0. Calculate q.
-26
Let -2883*j**5 + 8432*j**4 - 8759*j**3 + 3786*j**2 - 608*j + 32 = 0. Calculate j.
4/31, 2/3, 1
Factor y**2/7 - 5368*y/7 + 7203856/7.
(y - 2684)**2/7
Solve 