2/7.
3*(s - 1194)*(3*s - 1)/7
Factor 2*k**2/7 + 156*k/7 + 406.
2*(k + 29)*(k + 49)/7
Solve 20*w**4 + 1705*w**3 - 4935*w**2 - 8380*w - 1760 = 0 for w.
-88, -1, -1/4, 4
Find h, given that -8*h**4 - 126*h**3 - 584*h**2 - 630*h + 196 = 0.
-7, -2, 1/4
Factor -18*y**2 + 22*y - 4.
-2*(y - 1)*(9*y - 2)
Let -t**2/2 - 19*t - 36 = 0. Calculate t.
-36, -2
Let -x**3 - 4*x**2 + x + 4 = 0. What is x?
-4, -1, 1
Solve -3*g**2 - 23034*g - 44213763 = 0 for g.
-3839
Solve 2*p**3/7 + 66*p**2/7 + 726*p/7 + 2662/7 = 0 for p.
-11
Let 3*u**2 + 4614*u + 1774083 = 0. Calculate u.
-769
Factor -2*f**3/7 - 44*f**2/7 - 118*f/7 - 76/7.
-2*(f + 1)*(f + 2)*(f + 19)/7
Factor -5*o**4 + 35*o**2 - 30*o.
-5*o*(o - 2)*(o - 1)*(o + 3)
Find b, given that 3*b**4/7 - 60*b**3/7 - 543*b**2/7 - 696*b/7 + 1296/7 = 0.
-4, 1, 27
What is l in 2*l**2/9 - 36*l - 1670/9 = 0?
-5, 167
Let 25*c**2 - 1405*c + 1650 = 0. What is c?
6/5, 55
Solve 578*z**2/9 - 952*z/9 + 392/9 = 0.
14/17
Factor -3*t**3/2 - 153*t**2/2 - 2025*t/2 - 1875/2.
-3*(t + 1)*(t + 25)**2/2
Factor -n**3/5 + 109*n**2/5 + 221*n/5 + 111/5.
-(n - 111)*(n + 1)**2/5
Factor s**3 - 84*s**2 + 477*s - 702.
(s - 78)*(s - 3)**2
Factor -2*h**4/9 + 26*h**3/9 + 10*h**2 + 94*h/9 + 32/9.
-2*(h - 16)*(h + 1)**3/9
Find j, given that 4*j**2 + 92*j + 240 = 0.
-20, -3
Find l such that -2*l**3/17 + 182*l**2/17 - 704*l/17 + 696/17 = 0.
2, 87
Let k**3 - 5*k**2 - 6*k = 0. What is k?
-1, 0, 6
Solve 2*m**3 - 268*m**2 - 270*m = 0.
-1, 0, 135
Determine y, given that -y**5/7 + y**3 - 2*y**2/7 - 12*y/7 + 8/7 = 0.
-2, 1, 2
Factor 21*f**3/4 - 327*f**2/8 + 285*f/8.
3*f*(f - 1)*(14*f - 95)/8
Factor -3*m**2/5 + 90*m - 3375.
-3*(m - 75)**2/5
Determine r, given that -r**4/8 + 9*r**3/8 - 15*r**2/8 + 7*r/8 = 0.
0, 1, 7
Factor -2*u**2/3 + 68*u/3 - 126.
-2*(u - 27)*(u - 7)/3
Suppose 60*w**5 - 44*w**4 - 232*w**3 + 176*w**2 - 32*w = 0. Calculate w.
-2, 0, 1/3, 2/5, 2
Factor 4*v**2 + 100*v - 216.
4*(v - 2)*(v + 27)
Factor 2*i**4/3 + 44*i**3/3 + 82*i**2/3 + 40*i/3.
2*i*(i + 1)**2*(i + 20)/3
Factor -750*w**2 - 1491*w + 18.
-3*(w + 2)*(250*w - 3)
Factor 4*r**3/5 + 212*r**2 + 14252*r/5 + 49196/5.
4*(r + 7)**2*(r + 251)/5
Factor -5*m**2 + 215*m + 220.
-5*(m - 44)*(m + 1)
Let 128*c**4/9 - 2080*c**3/9 + 2278*c**2/3 + 670*c + 132 = 0. Calculate c.
-3/8, 6, 11
Suppose 361*q**4/7 + 380*q**3/7 - 261*q**2/7 - 380*q/7 - 100/7 = 0. Calculate q.
-1, -10/19, 1
Suppose 2*x**4 + 18*x**3 + 34*x**2 - 66*x - 180 = 0. What is x?
-5, -3, 2
Find m such that m**4/3 - 2*m**3 - 31*m**2/3 + 40*m = 0.
-5, 0, 3, 8
Find c, given that -2*c**5 + 20*c**4/3 + 6*c**3 - 8*c**2/3 = 0.
-1, 0, 1/3, 4
What is g in 2*g**2/3 - 52*g/3 + 338/3 = 0?
13
Suppose k**2/9 - 5*k/9 - 14/9 = 0. What is k?
-2, 7
Solve d**2/4 + 13*d/4 + 3 = 0.
-12, -1
What is m in -2*m**2/3 + 26*m/3 + 20 = 0?
-2, 15
Find v, given that -12*v**2 + 48676*v + 32456 = 0.
-2/3, 4057
Let 20*l**5 + 105*l**4 + 5*l**3 - 105*l**2 - 25*l = 0. Calculate l.
-5, -1, -1/4, 0, 1
Factor -3*l**4 - 45*l**3 + 9*l**2 + 141*l + 90.
-3*(l - 2)*(l + 1)**2*(l + 15)
Factor -4*x**3/9 + 476*x**2/3 - 1424*x/9.
-4*x*(x - 356)*(x - 1)/9
What is y in 4*y**3/7 + 4964*y**2/7 + 1542560*y/7 + 1537600/7 = 0?
-620, -1
What is u in 5*u**3 - 845*u**2 + 1670*u = 0?
0, 2, 167
Let 10*f**5 + 19*f**4 - 32*f**3 + 3*f**2 = 0. Calculate f.
-3, 0, 1/10, 1
Determine a, given that 2*a**2/7 + 144*a/7 + 142/7 = 0.
-71, -1
Factor -5*y**2 + 505*y - 6450.
-5*(y - 86)*(y - 15)
Factor 3*a**2 - 36672*a/7 + 10476/7.
3*(a - 1746)*(7*a - 2)/7
Suppose 2*f**3/7 - 28*f**2 + 4992*f/7 - 9216/7 = 0. Calculate f.
2, 48
Factor -3*s**4/2 - 57*s**3 - 1083*s**2/2.
-3*s**2*(s + 19)**2/2
Find z, given that -4*z**2 + 1876*z + 3768 = 0.
-2, 471
Factor q**3/6 + 30*q**2 - 181*q/6.
q*(q - 1)*(q + 181)/6
Factor 4*h**4 - 176*h**3 + 500*h**2 - 328*h.
4*h*(h - 41)*(h - 2)*(h - 1)
Find f such that 2*f**2/3 - 76*f + 2166 = 0.
57
Determine d, given that 2*d**2 + 288*d + 10368 = 0.
-72
Factor -5*q**3 + 60*q**2 + 635*q + 570.
-5*(q - 19)*(q + 1)*(q + 6)
Find x, given that 3*x**2/2 - 6126*x + 6254646 = 0.
2042
Factor -38*o**3/3 - 379*o**2/6 + 1069*o/6 - 7/3.
-(o - 2)*(o + 7)*(76*o - 1)/6
Factor 3*u**2/4 - 24*u - 240.
3*(u - 40)*(u + 8)/4
Find l, given that 3*l**5 - 42*l**4 + 204*l**3 - 354*l**2 - 63*l + 540 = 0.
-1, 3, 4, 5
Solve 2*s**3/5 - 192*s**2/5 + 6144*s/5 - 65536/5 = 0.
32
Factor 6627*y**4 + 146076*y**3 + 808074*y**2 + 34188*y + 363.
3*(y + 11)**2*(47*y + 1)**2
Find v, given that 3*v**3/4 - 6*v**2 = 0.
0, 8
Factor -6*n**3 + 1892*n**2 + 5080*n + 2544.
-2*(n - 318)*(n + 2)*(3*n + 2)
Factor -4*x**4 + 40*x**3 - 44*x**2 - 280*x.
-4*x*(x - 7)*(x - 5)*(x + 2)
Solve 3*z**2/2 - 11*z = 0 for z.
0, 22/3
Suppose -4*u**2 + 1028*u + 10680 = 0. What is u?
-10, 267
Factor 255*x**2 - 95*x - 60.
5*(3*x + 1)*(17*x - 12)
Factor 2*i**4 + 4*i**3 - 8*i**2 - 16*i.
2*i*(i - 2)*(i + 2)**2
Determine x so that -2*x**3/5 + 878*x**2/5 - 694*x - 870 = 0.
-1, 5, 435
Determine x so that 125*x**5 + 900*x**4 - 3280*x**3 + 2160*x**2 - 400*x = 0.
-10, 0, 2/5, 2
What is l in l**2/2 - 2229*l/2 = 0?
0, 2229
What is p in 2*p**3 - 664*p**2 + 54442*p + 111556 = 0?
-2, 167
Factor -d**2 - d + 56.
-(d - 7)*(d + 8)
Factor 2*x**3/17 - 10*x**2/17 + 12*x/17.
2*x*(x - 3)*(x - 2)/17
Factor 4*z**3 - 4*z.
4*z*(z - 1)*(z + 1)
Factor -4*v**4/5 + 12*v**2/5 + 8*v/5.
-4*v*(v - 2)*(v + 1)**2/5
Factor h**3 - 3*h**2 - 45*h - 81.
(h - 9)*(h + 3)**2
What is x in -x**4/3 + 107*x**3 - 319*x**2/3 - 107*x + 320/3 = 0?
-1, 1, 320
Find y such that 10*y**5 - 205*y**4 + 765*y**3 - 715*y**2 - 95*y + 240 = 0.
-1/2, 1, 3, 16
Factor 4*x**4 - 45*x**3 + 151*x**2 - 135*x + 25.
(x - 5)**2*(x - 1)*(4*x - 1)
Determine w so that -3*w**3 - 60*w**2 - 348*w - 480 = 0.
-10, -8, -2
Determine d so that -2*d**4/5 + 4*d**3/5 + 74*d**2/5 + 4*d - 336/5 = 0.
-4, -3, 2, 7
Let f**4 + 2*f**3 - 7*f**2 + 4*f = 0. Calculate f.
-4, 0, 1
Factor 3*w**2 + 102*w - 861.
3*(w - 7)*(w + 41)
Factor -2*n**3 - 195*n**2/4 - 178*n - 60.
-(n + 4)*(n + 20)*(8*n + 3)/4
Factor 2*u**3 - 2*u**2 - 10*u - 6.
2*(u - 3)*(u + 1)**2
Factor 2*v**3/9 - 26*v**2/9 - 58*v/9 - 10/3.
2*(v - 15)*(v + 1)**2/9
Find t such that 3*t**3/5 + 48*t**2/5 - 171*t/5 = 0.
-19, 0, 3
Let 3*f**3 + 1092*f**2 + 10695*f + 26550 = 0. Calculate f.
-354, -5
Suppose 12*r**3/11 + 742*r**2/11 + 11408*r/11 - 1922/11 = 0. What is r?
-31, 1/6
Factor -2*x**5/19 + 40*x**4/19 + 42*x**3/19.
-2*x**3*(x - 21)*(x + 1)/19
Factor -3*n**4 + 5*n**3 + 11*n**2 + 3*n.
-n*(n - 3)*(n + 1)*(3*n + 1)
Determine d, given that -3*d**3/2 + 3*d**2/2 + 21*d - 36 = 0.
-4, 2, 3
Suppose 8*i**2/5 + 628*i/5 + 312/5 = 0. Calculate i.
-78, -1/2
Factor a**2 - 314*a + 24649.
(a - 157)**2
Suppose -4*l**3 - 104*l**2 - 716*l - 616 = 0. Calculate l.
-14, -11, -1
Factor 4*s**5 + 24*s**4 - 4*s**3 - 24*s**2.
4*s**2*(s - 1)*(s + 1)*(s + 6)
Solve -h**3/4 - 19*h**2/4 - 28*h - 48 = 0.
-8, -3
Suppose 2*t**3 - 10*t**2 - 2*t + 10 = 0. What is t?
-1, 1, 5
Factor u**2/5 - 54*u/5 - 871/5.
(u - 67)*(u + 13)/5
Let 21*y**4/5 + 3*y**3 - 132*y**2/5 + 36*y/5 = 0. What is y?
-3, 0, 2/7, 2
Let 4*p**2 + 12784*p + 10214416 = 0. Calculate p.
-1598
Solve 3*m**2/2 - 15*m + 36 = 0 for m.
4, 6
Factor 3*m**3 + 300*m**2 + 8064*m + 27648.
3*(m + 4)*(m + 48)**2
What is t in 30*t**4 - 5*t**3 - 145*t**2 + 20*t + 100 = 0?
-2, -5/6, 1, 2
What is g in 4*g**3 - 28*g + 24 = 0?
-3, 1, 2
Suppose -6*i**4/7 - 32*i**3/7 - 22*i**2/7 + 44*i/7 + 16/7 = 0. What is i?
-4, -2, -1/3, 1
What is s in 5*s**2 + 370*s + 720 = 0?
-72, -2
Factor -4*k**2 + 84*k - 152.
-4*(k - 19)*(k - 2)
Solve u**3/9 + u**2/3 - 16*u/9 + 4/3 = 0.
-6, 1, 2
Find d, given that -10*d**4 + 196*d**3 + 120*d**2 - 784*d - 320 = 0.
-2, -2/5, 2, 20
Find z such that 5*z**5 + 8*z**4 - 2*z**3 - 8*z**2 - 3*z = 0.
-1, -3/5, 0, 1
Let -20*j**5 - 5*j**4 + 455*j**3 - 1210*j**2 + 1140*j - 360 = 0. What is j?
-6, 3/4, 1, 2
Solve 5*v**4 + 10*v**3 - 100*v**2 - 330*v - 225 = 0.
-3, -1, 5
Suppose m**5 + 3*m**4 + 2*m**3 = 0. What is m?
-2, -1, 0
Factor o**3/3 - 23*o**2/3 - 209*o/3 + 1805.
(o - 19)**2*(o + 15)/3
Determine v so that -2*v**4/3 - 278*v**3/9 - 86*v**2/9 + 278*v/9 + 92/9 = 0.
-46, -1, -1/3, 1
Find y such that 16000*y**3 + 74400*y**2 + 115320*y + 59582 = 0.
-31/20
Let 1805*q**3 + 1615*q**2 - 185*q + 5 = 0. Calculate q.
-1, 1/19
Find c such that 95*c**5 - 80*c**4 - 300*c**3 + 430*c**2 - 115*c - 30 = 0.
-2, -3/19,