- 1840*u**3 - 7712*u**2 - 13312*u - 8192 = 0. What is u?
-16, -2
What is m in -4*m**4 + 68*m**2 + 144*m + 80 = 0?
-2, -1, 5
Find c such that 3*c**3 + 12*c**2 - 57*c + 42 = 0.
-7, 1, 2
Factor 2*r**4/7 - 6*r**3 + 330*r**2/7 - 1150*r/7 + 1500/7.
2*(r - 6)*(r - 5)**3/7
Find r, given that r**3 - 12*r - 16 = 0.
-2, 4
Suppose 20*v**4 - 396*v**3 - 540*v**2 + 748*v + 168 = 0. What is v?
-2, -1/5, 1, 21
Solve -5*y**4 + 120*y**3 - 510*y**2 - 1400*y - 765 = 0.
-1, 9, 17
Factor -m**2/5 - 162*m - 32805.
-(m + 405)**2/5
Determine i, given that -4*i**2 + 640*i - 25600 = 0.
80
Let -3*s**4 + 288*s**2 - 1536*s + 2304 = 0. Calculate s.
-12, 4
Solve 6*l**2 + 93*l/5 + 9/5 = 0.
-3, -1/10
Let -2*x**2 - 20*x + 22 = 0. What is x?
-11, 1
Factor v**2/6 - 3*v/2 + 4/3.
(v - 8)*(v - 1)/6
Factor -3*r**3/8 + 21*r**2/8 + 3*r/8 - 21/8.
-3*(r - 7)*(r - 1)*(r + 1)/8
Factor y**4/3 - 47*y**3/3 + 134*y**2/3 - 88*y/3.
y*(y - 44)*(y - 2)*(y - 1)/3
Determine h so that h**5 + 683*h**4/8 + 14359*h**3/8 - 9503*h**2/8 - 5547*h/8 = 0.
-43, -3/8, 0, 1
Let 13*x**2 + 28*x + 4 = 0. What is x?
-2, -2/13
Factor 3*u**4 + 24*u**3 + 39*u**2 + 18*u.
3*u*(u + 1)**2*(u + 6)
Determine w, given that -w**2/4 - 107*w/4 = 0.
-107, 0
Factor -2*u**2 - 320*u - 12800.
-2*(u + 80)**2
Factor 4*n**5 - 3860*n**4 + 1244200*n**3 - 134781480*n**2 + 265845780*n - 132304644.
4*(n - 321)**3*(n - 1)**2
Find f such that 5*f**2 - 1215*f - 3690 = 0.
-3, 246
Solve -j**4 - 4*j**3 + 7*j**2 + 22*j - 24 = 0 for j.
-4, -3, 1, 2
Solve -2*l**3/3 - 34*l**2/3 + 86*l - 138 = 0.
-23, 3
Solve s**2 - 657*s = 0.
0, 657
Suppose 4*s**3 - 20*s**2 + 24*s = 0. Calculate s.
0, 2, 3
Find v, given that 4*v**5 + 4*v**4 - 52*v**3 - 4*v**2 + 192*v - 144 = 0.
-3, 1, 2
Let h**2/5 - 29*h/5 + 78/5 = 0. Calculate h.
3, 26
What is o in -o**5/4 + 17*o**4/4 - 27*o**3/4 - 45*o**2/4 = 0?
-1, 0, 3, 15
Solve -12*m**3/7 - 26*m**2/7 - 16*m/7 - 2/7 = 0.
-1, -1/6
Factor 5*u**4/2 + 125*u**3/2 - 5*u**2/2 - 125*u/2.
5*u*(u - 1)*(u + 1)*(u + 25)/2
Factor -h**2 - 9*h - 14.
-(h + 2)*(h + 7)
Solve -u**5/3 - 19*u**4/3 - 46*u**3 - 470*u**2/3 - 725*u/3 - 125 = 0 for u.
-5, -3, -1
Factor 12*r**4 - 49*r**3 + 64*r**2 - 29*r + 2.
(r - 2)*(r - 1)**2*(12*r - 1)
Suppose 35*b**2/8 - 89*b/8 + 15/4 = 0. Calculate b.
2/5, 15/7
Solve 3*k**3/4 - 15*k**2/4 - 21*k/2 = 0 for k.
-2, 0, 7
Factor -2*u**3 - 112*u**2 - 1568*u.
-2*u*(u + 28)**2
Suppose -38*d**4 + 278*d**3/9 + 64*d**2/9 = 0. Calculate d.
-32/171, 0, 1
Suppose -2*q**4/17 - 80*q**3/17 + 84*q**2/17 + 80*q/17 - 82/17 = 0. What is q?
-41, -1, 1
Factor -p**4/3 + 212*p**3/3 - 5490*p**2 + 550708*p/3 - 6582449/3.
-(p - 61)**3*(p - 29)/3
Let -3*f**3 - 33*f**2/4 + 57*f/4 - 3 = 0. What is f?
-4, 1/4, 1
Factor 18*x**2/5 + 123*x/5 + 21.
3*(x + 1)*(6*x + 35)/5
Suppose -j**3 - 1982*j**2 - 984060*j - 1960200 = 0. What is j?
-990, -2
Factor 2*x**2/3 - 44*x/3 - 46/3.
2*(x - 23)*(x + 1)/3
What is q in 3*q**3 = 0?
0
Find g, given that -15*g**2/2 - 77*g/2 - 5 = 0.
-5, -2/15
Factor 3*f**5 - 69*f**4 + 66*f**3.
3*f**3*(f - 22)*(f - 1)
Solve -9*g**5/5 + 133*g**4/5 - 96*g**3/5 - 28*g**2/5 = 0.
-2/9, 0, 1, 14
Factor -6*r**2/11 + 1572*r/11 - 102966/11.
-6*(r - 131)**2/11
Factor 5*j**5 + 5*j**4 - 10*j**3 - 10*j**2 + 5*j + 5.
5*(j - 1)**2*(j + 1)**3
Factor h**4/5 + h**3/5 - 6*h**2/5.
h**2*(h - 2)*(h + 3)/5
Factor 5*t**3 - 10*t**2 - 5*t + 10.
5*(t - 2)*(t - 1)*(t + 1)
Suppose -2*z**2/23 - 16*z/23 - 30/23 = 0. What is z?
-5, -3
Factor 2*z**3/9 + 1594*z**2/9 - 3194*z/9 + 1598/9.
2*(z - 1)**2*(z + 799)/9
Factor -27*t**4/7 - 9*t**3/7 + 15*t**2/7 - 3*t/7.
-3*t*(t + 1)*(3*t - 1)**2/7
Suppose -3*d**5/7 + 72*d**4/7 + 480*d**3/7 - 3072*d**2/7 - 25344*d/7 - 6144 = 0. What is d?
-4, 8, 28
Factor -x**2 - 938*x - 2805.
-(x + 3)*(x + 935)
Find g such that g**2/3 + g/3 - 182/3 = 0.
-14, 13
Factor o**4 - 9*o**3 - 21*o**2 - 11*o.
o*(o - 11)*(o + 1)**2
Factor 3*k**5 - 12*k**4 + 9*k**3 + 12*k**2 - 12*k.
3*k*(k - 2)**2*(k - 1)*(k + 1)
Find i, given that i**5/5 + 16*i**4/5 + 3*i**3 = 0.
-15, -1, 0
Determine d so that 4*d**4 - 116*d**3 + 1140*d**2 - 4396*d + 5096 = 0.
2, 7, 13
Factor 21632*q**2/3 - 416*q + 6.
2*(104*q - 3)**2/3
Factor -4*f**2 - 120*f + 2016.
-4*(f - 12)*(f + 42)
Factor -2*m**4 - 2*m**3 + 8*m**2 + 8*m.
-2*m*(m - 2)*(m + 1)*(m + 2)
Factor -x**3/2 + 407*x**2/2 - 39951*x/2 - 299943/2.
-(x - 207)**2*(x + 7)/2
Determine g so that 361*g**2 + 57*g + 9/4 = 0.
-3/38
Find k such that 3*k**5 - 24*k**4 + 48*k**3 = 0.
0, 4
Let -18*v**5 + 133*v**4/5 + 1978*v**3/5 + 2619*v**2/5 + 972*v/5 + 108/5 = 0. Calculate v.
-3, -1, -3/10, -2/9, 6
Determine h, given that -h**2 + 23*h - 120 = 0.
8, 15
Suppose 4*h**2 - 192*h + 1008 = 0. Calculate h.
6, 42
Factor -43*c**3 - 84*c**2 - 39*c + 2.
-(c + 1)**2*(43*c - 2)
Factor 2*i**2/7 + 10*i - 148/7.
2*(i - 2)*(i + 37)/7
Find z, given that 2*z**5 - 8*z**4 - 4*z**3 + 16*z**2 + 2*z - 8 = 0.
-1, 1, 4
Factor f**5 - 7*f**4 + 3*f**3 + 63*f**2 - 108*f.
f*(f - 4)*(f - 3)**2*(f + 3)
Factor 2694*r**2/7 + 4*r/7.
2*r*(1347*r + 2)/7
Factor -4*d**2/3 + 100*d - 296/3.
-4*(d - 74)*(d - 1)/3
Suppose -5*g**5 + 1660*g**4 - 184805*g**3 + 7019650*g**2 - 13491500*g + 6655000 = 0. Calculate g.
1, 110
Let -3*n**4 - 63*n**3 + 486*n**2 = 0. Calculate n.
-27, 0, 6
Factor r**3/8 - 11*r**2/8 + 15*r/4.
r*(r - 6)*(r - 5)/8
Factor -169*b**2 - 2548*b - 9604.
-(13*b + 98)**2
Suppose -3*i**2 + 141*i - 840 = 0. Calculate i.
7, 40
Find s, given that -s**3/9 + 2255*s**2/9 - 1272383*s/9 + 1270129/9 = 0.
1, 1127
Factor t**4/10 + 8*t**3/5 + 2*t**2 - 40*t.
t*(t - 4)*(t + 10)**2/10
Let -2*p**4 - 20*p**3 + 14*p**2 + 392*p = 0. What is p?
-7, 0, 4
Factor 14*n**2/5 + 34*n/5.
2*n*(7*n + 17)/5
Determine s so that 2*s**2 + 1434*s + 1432 = 0.
-716, -1
Determine b, given that -4*b**2/5 - 64*b/5 - 12 = 0.
-15, -1
Find g such that 3*g**2/5 + 1227*g/5 - 246 = 0.
-410, 1
Find c such that 2*c**3 + 900*c**2 + 135000*c + 6750000 = 0.
-150
Find u such that -u**5/5 - 73*u**4/5 + 30*u**3 = 0.
-75, 0, 2
Let -i**2 + 72*i = 0. Calculate i.
0, 72
Factor 15*q**3/7 + 24*q**2/7 - 12*q/7.
3*q*(q + 2)*(5*q - 2)/7
Factor 2*o**2 - 120*o + 342.
2*(o - 57)*(o - 3)
Suppose -2*z**3 - 8*z**2 + 280*z = 0. Calculate z.
-14, 0, 10
Suppose -d**3/4 - 3*d**2/2 + 7*d/4 = 0. What is d?
-7, 0, 1
Factor j**5 - 16*j**4 - 186*j**3 - 184*j**2 + 985*j - 600.
(j - 24)*(j - 1)**2*(j + 5)**2
Determine z, given that z**3/12 + 13*z**2/6 + 16*z + 24 = 0.
-12, -2
Let 3*t**5 - 33*t**4 + 54*t**3 + 456*t**2 - 1632*t + 1152 = 0. Calculate t.
-4, 1, 4, 6
Solve -h**5/3 - 61*h**4/3 - 53*h**3/3 + 433*h**2/3 + 262*h + 120 = 0 for h.
-60, -2, -1, 3
Factor -q**4 + 4*q**3 + 11*q**2 - 30*q.
-q*(q - 5)*(q - 2)*(q + 3)
What is x in 5*x**3 - 110*x**2 + 265*x + 380 = 0?
-1, 4, 19
Solve -6*b**3 + 50*b**2 - 48*b - 56 = 0 for b.
-2/3, 2, 7
Factor -5*m**2 + 3190*m + 3195.
-5*(m - 639)*(m + 1)
Suppose -o**4 + 786*o**3 - 157561*o**2 + 1223016*o - 2421136 = 0. Calculate o.
4, 389
Find q, given that -3*q**4/5 - 57*q**3/5 + 129*q**2/5 + 57*q/5 - 126/5 = 0.
-21, -1, 1, 2
What is g in 2*g**5/9 - 20*g**4/9 - 26*g**3/9 + 44*g**2/9 = 0?
-2, 0, 1, 11
Factor -3*d**2 + 2628*d - 575532.
-3*(d - 438)**2
Factor -2*q**4/11 - 8*q**3/11 - 6*q**2/11.
-2*q**2*(q + 1)*(q + 3)/11
Suppose -2*a**4/5 + 2*a**3 - 4*a**2/5 - 16*a/5 = 0. Calculate a.
-1, 0, 2, 4
Factor -g**3/2 + g**2/2 + 5*g + 4.
-(g - 4)*(g + 1)*(g + 2)/2
Solve -5*t**5 + 60*t**4 + 215*t**3 + 150*t**2 = 0.
-2, -1, 0, 15
Suppose 3*s**2 - 13785*s - 13788 = 0. What is s?
-1, 4596
Factor -5*y**4 - 930*y**3 - 3660*y**2 - 3640*y.
-5*y*(y + 2)**2*(y + 182)
Solve 3*u**4/5 - 54*u**3/5 + 27*u**2 + 12*u/5 - 36 = 0 for u.
-1, 2, 15
Factor 3*a**5/4 - 9*a**4/4 - 15*a**3/2 - 3*a**2/2 + 27*a/4 + 15/4.
3*(a - 5)*(a - 1)*(a + 1)**3/4
Factor -4*b**2 + 340*b - 664.
-4*(b - 83)*(b - 2)
Factor j**2 + 787*j - 788.
(j - 1)*(j + 788)
Suppose 2*y**5/19 + 10*y**4/19 = 0. Calculate y.
-5, 0
Factor r**4/10 - r**3/2 + r**2/10 + 21*r/10 - 9/5.
(r - 3)**2*(r - 1)*(r + 2)/10
Factor 2*b**2 - 232*b/3 - 26.
2*(b - 39)*(3*b + 1)/3
Factor -2*d**2 - 128*d - 248.
-2*(d + 2)*(d + 62)
Factor 4*n**5 - 32*n**4 + 64*n**3.
4*n**3*(n - 4)**2
Suppose 2*s**5 - 348*s**4 + 13674*s**3 + 128128*s**2 + 198744*s = 0. Calculate s.
-6, -2, 0, 91
Let -8*t**5 + 118*t**4/3 - 92*t**3/3 + 16*t**2/3 = 0. What is t?
0, 1/4, 2/3, 4
Factor -j**3/4 - 19*j**2/4 - 55*j/4 + 363/4.
-(j - 3)*(j +