69)*(f + 4)
Let -10*v**3 + 235*v**2 - 715*v + 300 = 0. What is v?
1/2, 3, 20
Solve x**2/4 - 99*x + 9801 = 0.
198
Find c, given that 3*c**3/2 - 972*c**2 + 316863*c/2 - 312987 = 0.
2, 323
Factor -3*c**3 - 203*c**2/2 + 17*c.
-c*(c + 34)*(6*c - 1)/2
Factor 2*s**4 + 56*s**3 + 156*s**2 + 152*s + 50.
2*(s + 1)**3*(s + 25)
Factor -3*g**2/7 - 153*g/7 + 156/7.
-3*(g - 1)*(g + 52)/7
Factor 3*f**4/8 - 15*f**3/8 - 21*f**2/8 + 15*f/8 + 9/4.
3*(f - 6)*(f - 1)*(f + 1)**2/8
Factor 1156*l**3 - 612*l**2 - 480*l - 64.
4*(l - 1)*(17*l + 4)**2
Determine u, given that 19*u**3 + 60*u**2 + 47*u + 6 = 0.
-2, -1, -3/19
Let 5*q**5 + 15*q**4 - 45*q**3 - 155*q**2 + 180 = 0. What is q?
-3, -2, 1, 3
Let 2*k**2/13 + 25884*k/13 + 83747682/13 = 0. What is k?
-6471
Let 3*f**3/5 + 777*f**2/5 - 1563*f/5 + 783/5 = 0. Calculate f.
-261, 1
Suppose -4*d**4/5 - 132*d**3/5 - 1428*d**2/5 - 5356*d/5 - 4056/5 = 0. Calculate d.
-13, -6, -1
Factor 5*a**3 - 470*a**2 - 475*a.
5*a*(a - 95)*(a + 1)
Determine z so that -142524605*z**2 + 106780*z - 20 = 0.
2/5339
Factor -3*t**5 - 12*t**4 + 33*t**3 - 18*t**2.
-3*t**2*(t - 1)**2*(t + 6)
Suppose t**3 + 4*t**2 - 11*t + 6 = 0. What is t?
-6, 1
Factor -6*b**2/5 - 626*b/5 - 208/5.
-2*(b + 104)*(3*b + 1)/5
Factor -j**2/2 + 114*j + 229/2.
-(j - 229)*(j + 1)/2
Find l such that l**3 - 4*l**2 + 3*l = 0.
0, 1, 3
Factor -2*t**4 - 64*t**3 - 416*t**2 - 768*t.
-2*t*(t + 4)**2*(t + 24)
Factor -4*n**2 + 5240*n + 21024.
-4*(n - 1314)*(n + 4)
Factor -7*y**3/4 - 60*y**2 - 311*y - 84.
-(y + 6)*(y + 28)*(7*y + 2)/4
Factor 92*m**3/3 + 28*m**2 - 8*m/3.
4*m*(m + 1)*(23*m - 2)/3
Solve 3*j**4 - 29*j**3 + 86*j**2 - 64*j - 32 = 0.
-1/3, 2, 4
Suppose -2*i**3 - 12*i**2 + 342*i + 352 = 0. Calculate i.
-16, -1, 11
Find q such that 9*q**4/5 + 66*q**3/5 + 16*q**2/5 - 34*q/5 + 7/5 = 0.
-7, -1, 1/3
Determine d, given that -5*d**2/6 - 310*d/3 - 9610/3 = 0.
-62
Find q such that 3*q**4/7 - 110*q**3/7 - 37*q**2/7 = 0.
-1/3, 0, 37
Solve 96*w**3 + 408*w**2 + 195*w/2 + 6 = 0.
-4, -1/8
Suppose t**2/3 - 28*t/3 - 20 = 0. What is t?
-2, 30
Determine g, given that -g**3/3 + 181*g**2/3 + 182*g/3 = 0.
-1, 0, 182
What is c in 5*c**5 - 525*c**4 + 14015*c**3 - 10935*c**2 - 66040*c - 40560 = 0?
-1, 3, 52
Factor -s**4/6 - 60*s**3 + 729*s**2/2 - 549*s.
-s*(s - 3)**2*(s + 366)/6
Find k, given that -k**4/3 + 29*k**3/3 - 65*k**2 - 75*k = 0.
-1, 0, 15
Factor -3*d**4 - 1386*d**3 - 4140*d**2 - 4134*d - 1377.
-3*(d + 1)**3*(d + 459)
Solve -g**4 + 625*g**3 - 98589*g**2 + 291407*g - 193442 = 0 for g.
1, 2, 311
Let g**3/2 - 35*g**2/2 + 323*g/2 - 289/2 = 0. Calculate g.
1, 17
Factor 2*r**3/5 - 2088*r**2/5 + 726624*r/5 - 84288384/5.
2*(r - 348)**3/5
Solve 2*q**5 + 10*q**4 - 34*q**3 - 42*q**2 = 0.
-7, -1, 0, 3
Suppose -4*t**3 - 384*t**2 - 356*t + 2280 = 0. What is t?
-95, -3, 2
Determine m, given that m**3 + 50*m**2 - 104*m = 0.
-52, 0, 2
Find r, given that r**2/4 + 73*r + 291/4 = 0.
-291, -1
Determine o, given that 4*o**4 - 20*o**3 - 4*o**2 + 20*o = 0.
-1, 0, 1, 5
Factor -2*d**3/17 + 52*d**2/17 - 312*d/17 + 432/17.
-2*(d - 18)*(d - 6)*(d - 2)/17
Determine z so that -2*z**5/9 + 134*z**4/9 - 460*z**3/3 + 3356*z**2/9 - 3098*z/9 + 110 = 0.
1, 9, 55
Let v**5/2 + v**4/2 - 37*v**3/2 - 37*v**2/2 + 18*v + 18 = 0. Calculate v.
-6, -1, 1, 6
Solve c**3 + 36*c**2 - 337*c + 660 = 0.
-44, 3, 5
Factor -10*z**3 + 16*z**2 - 6*z.
-2*z*(z - 1)*(5*z - 3)
Suppose 2*w**2/7 - 264*w/7 = 0. Calculate w.
0, 132
Factor 5*h**2 - 1770*h + 1765.
5*(h - 353)*(h - 1)
Let -2*t**2/19 - 4*t - 480/19 = 0. Calculate t.
-30, -8
Factor -16*x**4 + 216*x**3 + 3063*x**2 - 1571*x + 198.
-(x - 22)*(x + 9)*(4*x - 1)**2
Solve 2*s**2/3 + 22*s/3 - 28 = 0.
-14, 3
Find j, given that 3*j**5/2 - 93*j**4/8 - 9*j**3/2 + 93*j**2/8 + 3*j = 0.
-1, -1/4, 0, 1, 8
Suppose w**5/4 + 17*w**4/2 + 99*w**3 + 847*w**2/2 + 1331*w/4 = 0. What is w?
-11, -1, 0
Let -4*i**3 + 148*i**2 - 764*i + 620 = 0. Calculate i.
1, 5, 31
Find z such that -2*z**2 + 3380*z - 1428050 = 0.
845
Factor 4*z**4 - 1640*z**3 + 226800*z**2 - 10935000*z + 49207500.
4*(z - 135)**3*(z - 5)
Determine a, given that 3*a**3 - 66*a**2 - 3*a + 66 = 0.
-1, 1, 22
Determine c, given that -2*c**5/5 - 130*c**4 - 1292*c**3/5 = 0.
-323, -2, 0
Determine q so that -5*q**3 + 7795*q**2 + 15605*q + 7805 = 0.
-1, 1561
Solve -i**4 + 285*i**3 + 286*i**2 = 0.
-1, 0, 286
Let -20*y**3 - 45905*y**2 + 34445*y + 11480 = 0. Calculate y.
-2296, -1/4, 1
Factor 3*i**3 - 45*i**2/7 + 27*i/7 - 3/7.
3*(i - 1)**2*(7*i - 1)/7
Factor 2*j**2 + 22*j - 420.
2*(j - 10)*(j + 21)
Let -363*h**3 + 990*h**2 - 675*h = 0. What is h?
0, 15/11
Determine x so that 2*x**2/11 - 15292*x/11 + 29230658/11 = 0.
3823
Find f, given that -2*f**2/3 + 2*f/7 + 8/21 = 0.
-4/7, 1
Suppose 4*s**5 + 8*s**4 - 88*s**3 + 64*s**2 + 84*s - 72 = 0. Calculate s.
-6, -1, 1, 3
Determine y so that 3*y**4/4 - 33*y**3/2 + 459*y**2/4 - 243*y = 0.
0, 4, 9
Find m, given that m**4/8 + 117*m**3/4 + 16573*m**2/8 + 84357*m/2 + 519841/2 = 0.
-103, -14
Find f such that 5*f**5/3 - 14*f**4 + 16*f**3/3 = 0.
0, 2/5, 8
Let -2*g**5 - 154*g**4 - 584*g**3 = 0. What is g?
-73, -4, 0
Let -2*o**2/9 - 1156*o/3 - 167042 = 0. What is o?
-867
Factor 4*f**2/9 + 400*f/3 + 784.
4*(f + 6)*(f + 294)/9
Suppose r**5/3 + 3*r**4 + 6*r**3 - 4*r**2/3 - 8*r = 0. Calculate r.
-6, -2, 0, 1
Factor -2*h**3/5 - 8*h**2/5 + 2*h.
-2*h*(h - 1)*(h + 5)/5
Let w**3/4 + w**2 + w/4 - 3/2 = 0. Calculate w.
-3, -2, 1
Suppose -3*d**3/8 + 903*d**2/8 - 8550*d + 16875/2 = 0. Calculate d.
1, 150
Find a such that 15*a**3 - 54*a**2 - 5379*a - 2142 = 0.
-17, -2/5, 21
Let -3*j**2 + 144*j - 1728 = 0. Calculate j.
24
Suppose 15*t**2 + 76389*t - 30558 = 0. What is t?
-5093, 2/5
What is m in 45*m**5 + 145*m**4 + 30*m**3 - 180*m**2 - 40*m = 0?
-2, -2/9, 0, 1
Suppose -2*x**2 - 80*x - 78 = 0. Calculate x.
-39, -1
Find s, given that -243*s**2 - 270*s - 75 = 0.
-5/9
Factor 45*n**2 + 2915*n - 6700.
5*(n + 67)*(9*n - 20)
Suppose -v**3/4 - v**2/2 + v/4 + 1/2 = 0. Calculate v.
-2, -1, 1
Factor -2*a**4 - 424*a**3 - 1260*a**2 - 1256*a - 418.
-2*(a + 1)**3*(a + 209)
Find y, given that -2*y**2/9 - 52*y/9 + 112/9 = 0.
-28, 2
Solve 2*q**5/3 - 28*q**4 - 4*q**3/3 + 56*q**2 + 2*q/3 - 28 = 0.
-1, 1, 42
Solve p**2 + 364*p + 363 = 0.
-363, -1
Factor 2*q**3/13 - 34*q**2/13 - 76*q/13.
2*q*(q - 19)*(q + 2)/13
What is s in -5*s**4 + 450*s**3 + 1395*s**2 + 20*s - 1860 = 0?
-2, 1, 93
Factor -i**2/2 - 26*i - 338.
-(i + 26)**2/2
Let k**2/7 + 2*k/7 + 1/7 = 0. What is k?
-1
Solve 63*n**3 + 267*n**2/2 + 171*n/2 + 15 = 0.
-1, -5/6, -2/7
Factor g**2 + 55*g.
g*(g + 55)
Let h**4/2 - 9*h**3/2 + 21*h**2/2 - 19*h/2 + 3 = 0. Calculate h.
1, 6
Determine x so that -2*x**2 + 4*x + 6 = 0.
-1, 3
Suppose 3*k**4 + 147*k**3 + 1032*k**2 + 1968*k = 0. Calculate k.
-41, -4, 0
Factor -s**3/7 - 45*s**2/7 - 69*s + 529/7.
-(s - 1)*(s + 23)**2/7
Factor -2*j**2 - 44*j.
-2*j*(j + 22)
Factor -2*m**2 + 154*m + 480.
-2*(m - 80)*(m + 3)
Let -5*n**4 - 20*n**3 - 5*n**2 + 30*n = 0. Calculate n.
-3, -2, 0, 1
Factor -2*m**3/5 - 48*m**2/5 - 288*m/5.
-2*m*(m + 12)**2/5
Factor -10*s**3 + 145*s**2 + 1075*s + 500.
-5*(s - 20)*(s + 5)*(2*s + 1)
Solve 2*x**4/3 + 2752*x**3/3 + 473344*x**2 + 325660672*x/3 + 28006817792/3 = 0.
-344
Solve -j**3/2 - 13*j**2/2 - 35*j/2 + 49/2 = 0 for j.
-7, 1
Determine z so that z**3/2 - 26*z**2 + 569*z/2 - 259 = 0.
1, 14, 37
Suppose y**3 + 8*y**2 - 11*y - 18 = 0. Calculate y.
-9, -1, 2
Factor 3*h**5 + 147*h**4 + 2577*h**3 + 18765*h**2 + 48600*h + 40500.
3*(h + 2)**2*(h + 15)**3
Suppose -q**2/9 - 130*q/9 - 4225/9 = 0. What is q?
-65
Factor -m**5/2 + m**4/2 + 4*m**3 - 6*m**2.
-m**2*(m - 2)**2*(m + 3)/2
Factor 5*g**3 + 30*g**2.
5*g**2*(g + 6)
Let q**4/3 - q**2 + 2*q/3 = 0. What is q?
-2, 0, 1
Factor -4*f**2/5 + 64*f/5.
-4*f*(f - 16)/5
Factor x**4/7 + 4*x**3/7 - 27*x**2/7 + 38*x/7 - 16/7.
(x - 2)*(x - 1)**2*(x + 8)/7
Factor 4*u**4/7 - 704*u**3/7 + 27256*u**2/7 + 327360*u/7 + 864900/7.
4*(u - 93)**2*(u + 5)**2/7
What is c in -8*c**2/11 - 26*c + 72/11 = 0?
-36, 1/4
Suppose h**5/5 + 2*h**4 + 4*h**3/5 - 136*h**2/5 - 352*h/5 - 256/5 = 0. What is h?
-8, -2, 4
Suppose -q**3/5 - 124*q**2/5 + 251*q/5 - 126/5 = 0. Calculate q.
-126, 1
Factor 2*j**2/9 + 50*j/9 - 12.
2*(j - 2)*(j + 27)/9
Let -2*n**4/9 - 4*n**3/9 - 2*n**2/9 = 0. Calculate n.
-1, 0
Determine y so that -y**4/2 - 909*y**3 - 414950*y**2 - 1640763*y + 