359)/5
Suppose -4*i**4/3 - 64*i**3/3 + 8*i**2 + 2464*i/3 - 2420/3 = 0. What is i?
-11, 1, 5
Factor 4*y**4 - 20*y**3 - 56*y**2.
4*y**2*(y - 7)*(y + 2)
Solve -2*a**4/5 - 16*a**3/5 + 2*a**2/5 + 136*a/5 - 24 = 0.
-6, -5, 1, 2
Factor 2*u**4/3 - 4*u**3/3 - 30*u**2 + 84*u.
2*u*(u - 6)*(u - 3)*(u + 7)/3
Find z, given that -2*z**3 - 50*z**2 = 0.
-25, 0
Find a, given that -3*a**4 + 135*a**3 + 1116*a**2 - 1248*a = 0.
-8, 0, 1, 52
Factor j**3 - 20*j**2 - j + 20.
(j - 20)*(j - 1)*(j + 1)
Suppose -4*y**3 + 136*y**2 - 124*y - 264 = 0. What is y?
-1, 2, 33
Factor -5*j**5 - 25*j**4 - 5*j**3 + 85*j**2 + 110*j + 40.
-5*(j - 2)*(j + 1)**3*(j + 4)
Solve y**4/4 + 109*y**3/2 + 1071*y**2/4 + 639*y/2 = 0 for y.
-213, -3, -2, 0
Determine b so that -4*b**2 - 92*b - 240 = 0.
-20, -3
Determine n so that 2*n**3/7 - 1396*n**2/7 + 244992*n/7 - 484416/7 = 0.
2, 348
Determine h so that h**3/3 + 5*h**2/3 - 2*h/3 - 8 = 0.
-4, -3, 2
Find z, given that -6*z**4/7 - 5316*z**3/7 - 1166814*z**2/7 + 4731240*z/7 - 4752600/7 = 0.
-445, 2
Factor 2*d**2/11 - 646*d/11 - 648/11.
2*(d - 324)*(d + 1)/11
Suppose 2*p**3 - 106*p**2 - 448*p - 456 = 0. Calculate p.
-2, 57
Factor -b**2/12 + 3.
-(b - 6)*(b + 6)/12
Suppose -4*w**4 + 12*w**3 + 12*w**2 - 44*w + 24 = 0. Calculate w.
-2, 1, 3
Find d, given that d**3/4 - 25*d**2/4 + 17*d - 11 = 0.
1, 2, 22
What is i in -2*i**2/5 + 296*i/5 - 584/5 = 0?
2, 146
Factor -i**3 + 3*i + 2.
-(i - 2)*(i + 1)**2
What is z in -z**2/4 - 17*z - 289 = 0?
-34
Solve -5*r**3 - 495*r**2 = 0 for r.
-99, 0
Determine y so that 2*y**3 - 16*y**2 + 26*y - 12 = 0.
1, 6
Factor 4*c**4 - 16*c**3 - 180*c**2 + 784*c - 784.
4*(c - 7)*(c - 2)**2*(c + 7)
Suppose -12*d**3 + 64*d**2 - 48*d - 64 = 0. What is d?
-2/3, 2, 4
Find y, given that -y**3 + 19*y**2 - 18*y = 0.
0, 1, 18
Determine i so that -5*i**3 + 1665*i**2 - 184815*i + 6838155 = 0.
111
Determine f, given that -49*f**5/4 - 343*f**4/2 - 1221*f**3/4 - 133*f**2 + 25*f + 12 = 0.
-12, -1, -2/7, 2/7
Solve 9*y**5/8 + 33*y**4/4 + 183*y**3/8 + 117*y**2/4 + 33*y/2 + 3 = 0 for y.
-2, -1, -1/3
Suppose -3*s**5 - 9*s**4 + 21*s**3 + 45*s**2 - 54*s = 0. What is s?
-3, 0, 1, 2
Factor c**3 + 7*c**2 + 16*c + 12.
(c + 2)**2*(c + 3)
Factor 2*t**3/17 - 78*t**2/17.
2*t**2*(t - 39)/17
Suppose -5*m**3/6 + 5*m**2/6 + 5*m = 0. Calculate m.
-2, 0, 3
Find f such that 35*f**5 - 2425*f**4 + 585*f**3 + 7205*f**2 + 2780*f - 1380 = 0.
-1, 2/7, 2, 69
Let -4*i**4 + 244*i**3 - 1572*i**2 + 3276*i - 1944 = 0. What is i?
1, 3, 54
Factor 26*l**3 + 248*l**2/5 + 106*l/5 - 12/5.
2*(l + 1)**2*(65*l - 6)/5
Find n, given that 37*n**4/6 - 35*n**3/6 - 38*n**2/3 - 2*n/3 = 0.
-1, -2/37, 0, 2
Determine y so that -12*y**2 + 16*y - 5 = 0.
1/2, 5/6
Determine p, given that -p**3 + 738*p**2 - 136161*p = 0.
0, 369
Let -5*f**3 + 865*f**2 + 2630*f + 1760 = 0. What is f?
-2, -1, 176
Factor 3*i**2 - 72*i + 432.
3*(i - 12)**2
Suppose -3*j**5 + 45*j**4 + 723*j**3 + 3267*j**2 + 6156*j + 4212 = 0. Calculate j.
-3, -2, 26
Solve 4*d**4 + 88*d**3 - 196*d**2 - 88*d + 192 = 0 for d.
-24, -1, 1, 2
Factor -h**2/4 - 75*h.
-h*(h + 300)/4
Factor 30*w**3/7 + 64*w**2/7 + 38*w/7 + 4/7.
2*(w + 1)**2*(15*w + 2)/7
Factor -3*o**2/4 + 27*o/2 - 24.
-3*(o - 16)*(o - 2)/4
Factor f**5/2 - 7*f**4/2 + f**3/2 + 27*f**2/2 + 9*f.
f*(f - 6)*(f - 3)*(f + 1)**2/2
Factor -g**4/7 + 38*g**3/7 - 72*g**2/7.
-g**2*(g - 36)*(g - 2)/7
Factor -2*x**2/5 + 702*x/5.
-2*x*(x - 351)/5
Suppose 169*v**2 - 156*v + 36 = 0. What is v?
6/13
Let 16*q**5/9 - 68*q**4/9 - 32*q**3 - 148*q**2/9 + 56*q/9 = 0. Calculate q.
-2, -1, 0, 1/4, 7
Find v, given that -v**5/8 - v**4/8 + v**3/8 + v**2/8 = 0.
-1, 0, 1
Factor 3*u**4 - 27*u**3 + 39*u**2 + 135*u - 150.
3*(u - 5)**2*(u - 1)*(u + 2)
Factor 2*s**3/9 + 14*s**2/3 + 80*s/3 + 200/9.
2*(s + 1)*(s + 10)**2/9
Factor -2*n**3/5 + 66*n**2/5 - 102*n - 578/5.
-2*(n - 17)**2*(n + 1)/5
Determine c, given that -c**4 - 67*c**3 - 194*c**2 - 128*c = 0.
-64, -2, -1, 0
Determine l, given that l**5/5 + 3*l**4 - 53*l**3/5 + 21*l**2/5 + 52*l/5 - 36/5 = 0.
-18, -1, 1, 2
Factor -2*k**2 - 36*k - 130.
-2*(k + 5)*(k + 13)
Solve -v**5 - 11*v**4 - 17*v**3 + 11*v**2 + 18*v = 0 for v.
-9, -2, -1, 0, 1
Factor -5*a**3 - 200*a**2 + 215*a + 410.
-5*(a - 2)*(a + 1)*(a + 41)
Let 2*q**5/3 + 62*q**4/3 + 278*q**3/3 + 482*q**2/3 + 368*q/3 + 104/3 = 0. What is q?
-26, -2, -1
Let -6*w**5 + 21*w**4 - 6*w**3 - 33*w**2 + 12*w + 12 = 0. Calculate w.
-1, -1/2, 1, 2
Suppose 2*v**3/15 + 24*v**2 + 118*v/5 - 716/15 = 0. What is v?
-179, -2, 1
Suppose -w**2/3 + 101*w/3 = 0. Calculate w.
0, 101
Let 4*k**5/7 - 12*k**4/7 = 0. What is k?
0, 3
Factor -2*w**3 - 54*w**2.
-2*w**2*(w + 27)
Solve 2*m**4 - 40*m**3 + 250*m**2 - 500*m + 288 = 0.
1, 2, 8, 9
Factor 4*l**4 - 112*l**3.
4*l**3*(l - 28)
Factor 2*o**3 + 12*o**2 - 50*o + 36.
2*(o - 2)*(o - 1)*(o + 9)
Determine c, given that 3*c**3/2 + 48*c**2 + 267*c/2 + 87 = 0.
-29, -2, -1
Solve -13*x**5 + 11*x**4 + 15*x**3 - 11*x**2 - 2*x = 0 for x.
-1, -2/13, 0, 1
Let -4*f**5/5 + 12*f**4/5 + 16*f**3 - 256*f/5 - 192/5 = 0. Calculate f.
-2, -1, 2, 6
Factor -m**2/5 + 18*m/5 + 243/5.
-(m - 27)*(m + 9)/5
Factor r**3/2 + 77*r**2 + 2080*r + 15616.
(r + 16)**2*(r + 122)/2
Let -15*v**4/4 + 205*v**3/4 + 20*v**2 - 35*v = 0. What is v?
-1, 0, 2/3, 14
Find t, given that 5*t**3 - 140*t**2 - 3155*t - 3010 = 0.
-14, -1, 43
Factor 5*y**5 - 190*y**4 + 1805*y**3.
5*y**3*(y - 19)**2
Factor 6*j**3/11 + 690*j**2/11 + 18762*j/11 - 62658/11.
6*(j - 3)*(j + 59)**2/11
Factor 5*l**2 - 455*l - 460.
5*(l - 92)*(l + 1)
Solve 3*r**4/2 - 15*r**3/2 - 75*r**2/2 + 15*r/2 + 36 = 0 for r.
-3, -1, 1, 8
Determine y so that -44*y**5 + 36*y**4 + 52*y**3 - 36*y**2 - 8*y = 0.
-1, -2/11, 0, 1
What is z in 105*z**2 - 16*z - 4 = 0?
-2/15, 2/7
Suppose -2*h**4/11 - 26*h**3/11 - 52*h**2/11 + 80*h/11 = 0. Calculate h.
-10, -4, 0, 1
Factor 14*k**4 - 46*k**3 + 40*k**2 - 8*k.
2*k*(k - 2)*(k - 1)*(7*k - 2)
What is f in -3*f**2 - 214*f - 71 = 0?
-71, -1/3
Factor -3*v**2/5 - 816*v/5 - 55488/5.
-3*(v + 136)**2/5
Determine r so that -2*r**4 - 22*r**3 = 0.
-11, 0
Find x such that -x**4 + 47*x**3 = 0.
0, 47
Find c such that -c**2 + 28*c - 195 = 0.
13, 15
Factor 25*d**2 + 490*d + 2401.
(5*d + 49)**2
Find p such that -3*p**5 - 15*p**4 + 162*p**3 - 372*p**2 + 264*p = 0.
-11, 0, 2
Factor m**4/5 + 2*m**3 + 27*m**2/5 + 18*m/5.
m*(m + 1)*(m + 3)*(m + 6)/5
Suppose 22*z**5/15 + 28*z**4/5 - 34*z**3/3 - 64*z**2/5 + 8*z/3 = 0. Calculate z.
-5, -1, 0, 2/11, 2
Solve 2*o**4 - 14*o**3 + 30*o**2 - 18*o = 0 for o.
0, 1, 3
What is d in -3*d**4/7 - 24*d**3/7 - 33*d**2/7 + 24*d/7 + 36/7 = 0?
-6, -2, -1, 1
Factor -y**4 - 10*y**3 - 8*y**2 + 10*y + 9.
-(y - 1)*(y + 1)**2*(y + 9)
What is g in -g**2 - 230*g - 13225 = 0?
-115
Factor y**3 + 4*y**2 - 29*y + 24.
(y - 3)*(y - 1)*(y + 8)
Factor k**4 + k**3 - 4*k**2 - 4*k.
k*(k - 2)*(k + 1)*(k + 2)
Let -3*n**3 + 171*n**2 - 1485*n + 3525 = 0. What is n?
5, 47
Factor 4*d**2 + 10120*d.
4*d*(d + 2530)
Factor 5*b**2 - 25*b.
5*b*(b - 5)
Find d, given that -2*d**3 + 2*d = 0.
-1, 0, 1
Solve -3*a**3/7 - 12111*a**2/7 - 12229080*a/7 - 12216972/7 = 0 for a.
-2018, -1
Find r, given that -r**5/2 + 175*r**4/2 - 6125*r**3 + 214375*r**2 - 7503125*r/2 + 52521875/2 = 0.
35
Let -q**3 + 41*q**2 - 152*q + 148 = 0. Calculate q.
2, 37
Factor -f**3 + 73*f**2 - 1368*f + 1296.
-(f - 36)**2*(f - 1)
Determine w so that w**2/7 + 16*w/7 + 39/7 = 0.
-13, -3
What is h in 2*h**2/9 + 6*h - 248/9 = 0?
-31, 4
Let -3*w**3 - 12*w**2 + 21*w + 30 = 0. What is w?
-5, -1, 2
Solve 6*k**2 - 76*k/3 + 16/3 = 0.
2/9, 4
Solve -4*h**4 + 105*h**3 + 193*h**2 + 84*h = 0 for h.
-1, -3/4, 0, 28
Factor 2*w**5/9 + 22*w**4/9 + 4*w**3.
2*w**3*(w + 2)*(w + 9)/9
Factor -2*a**2/3 - 365*a/3 + 61.
-(a + 183)*(2*a - 1)/3
Determine v so that -45*v**4 + 730*v**3 - 3265*v**2 + 4740*v - 900 = 0.
2/9, 3, 10
Let -18*n**4 + 51*n**3 - 27*n**2 - 6*n = 0. Calculate n.
-1/6, 0, 1, 2
Solve x**4/6 + 41*x**3/3 - 14*x**2 - 41*x/3 + 83/6 = 0 for x.
-83, -1, 1
What is f in 3*f**5/7 + 20*f**4/7 + 47*f**3/7 + 6*f**2 + 4*f/7 - 8/7 = 0?
-2, -1, 1/3
Solve -l**2/6 - l + 187/6 = 0.
-17, 11
Factor -4*b**3 + 556*b**2 + 2272*b + 2288.
-4*(b - 143)*(b + 2)**2
Factor 2*b**2/15 + 76*b/3 + 3610/3.
2*(b + 95)**2/15
Let 3*u**3 - 39*u**2 - 90*u = 0. What is u?
-2, 0, 15
Factor q**3/8 - 4621*q**2/8 + 667590*q - 1334025/2.
(q - 2310)**2*(q - 1)/8
Determine i so