25*y/2 + 16875/4.
3*(y + 75)**2/4
Suppose -3*f**5 - 54*f**4 - 144*f**3 - 138*f**2 - 45*f = 0. Calculate f.
-15, -1, 0
Suppose -16*n**2 + 2580*n - 644 = 0. What is n?
1/4, 161
Factor -4*o**2 - 3864*o + 3868.
-4*(o - 1)*(o + 967)
Find p such that -p**2/10 - 101*p/5 - 1316/5 = 0.
-188, -14
Solve k**2/4 - 169*k/2 - 1715/4 = 0.
-5, 343
Determine l, given that 3*l**3 + 252*l**2 + 6831*l + 58806 = 0.
-33, -18
Factor 4*i**2/7 - 4*i/7 - 288/7.
4*(i - 9)*(i + 8)/7
Factor -18*n**3 + 72*n**2 + 2*n - 8.
-2*(n - 4)*(3*n - 1)*(3*n + 1)
Factor 4*o**2 + 148*o + 528.
4*(o + 4)*(o + 33)
Factor 2*g**3/5 + 1192*g**2/5 + 35282*g - 357604/5.
2*(g - 2)*(g + 299)**2/5
Determine w so that 8*w**3 - 38*w**2/7 - 26*w/7 + 8/7 = 0.
-4/7, 1/4, 1
Factor 2*s**2/13 - 402*s/13 + 400/13.
2*(s - 200)*(s - 1)/13
What is f in -3*f**5/8 - 3*f**4/4 + 3*f**3/4 + 3*f**2/2 - 3*f/8 - 3/4 = 0?
-2, -1, 1
Find i, given that 5*i**3 + 225*i**2 + 2830*i + 6600 = 0.
-22, -20, -3
Suppose -14*m**2 - 290*m + 84 = 0. Calculate m.
-21, 2/7
Factor -5*u**4 - 1380*u**3 - 96590*u**2 - 189060*u - 93845.
-5*(u + 1)**2*(u + 137)**2
What is s in -s**2/5 + 3*s/5 + 238/5 = 0?
-14, 17
Factor s**2/5 + 26*s/5 + 5.
(s + 1)*(s + 25)/5
Factor 2*u**5/7 + 18*u**4/7 - 2*u**3 - 410*u**2/7 - 300*u/7 + 2000/7.
2*(u - 4)*(u - 2)*(u + 5)**3/7
Factor -3*o**4 - 9*o**3.
-3*o**3*(o + 3)
Let -9*f**5/2 + 21*f**4/2 + 113*f**3/2 + 59*f**2/2 - 52*f - 40 = 0. What is f?
-4/3, -1, 1, 5
Factor -j**4/4 - 111*j**3/2 - 12097*j**2/4 + 6216*j - 3136.
-(j - 1)**2*(j + 112)**2/4
Factor w**3/3 + 135*w**2 - 271*w + 407/3.
(w - 1)**2*(w + 407)/3
Solve -12*z**2 - 328*z + 224 = 0.
-28, 2/3
Let -l**3 + 77*l**2 - 931*l + 3087 = 0. What is l?
7, 63
Factor -u**5/7 + 3195*u**4/7 - 4083210*u**3/7 + 2609171190*u**2/7 - 833630195205*u/7 + 106537938947199/7.
-(u - 639)**5/7
Find h such that -34*h**4 + 982*h**3 - 5834*h**2 + 4298*h + 588 = 0.
-2/17, 1, 7, 21
Factor -3*n**5 - 6*n**4 + 321*n**3 - 1356*n**2 + 816*n + 2496.
-3*(n - 4)**3*(n + 1)*(n + 13)
Factor 3*i**3 - 30*i**2 - 7644*i - 125736.
3*(i - 62)*(i + 26)**2
Factor -3*u**3/2 + 21*u**2 - 147*u/2 + 54.
-3*(u - 9)*(u - 4)*(u - 1)/2
Suppose 4*t**5/15 + 26*t**4/15 + 58*t**3/15 + 18*t**2/5 + 6*t/5 = 0. Calculate t.
-3, -3/2, -1, 0
Factor -4*m**3/5 - 156*m**2/5 - 416*m/5 + 576/5.
-4*(m - 1)*(m + 4)*(m + 36)/5
Solve -13*p**5 - 50*p**4 + 424*p**3 - 64*p**2 = 0.
-8, 0, 2/13, 4
Suppose -2*m**4/13 - 60*m**3/13 - 184*m**2/13 + 2940*m/13 - 414 = 0. Calculate m.
-23, -13, 3
Let -3*b**3 - 3*b**2 + 24*b + 36 = 0. What is b?
-2, 3
Suppose y**3 + 26*y**2 - 117*y + 90 = 0. Calculate y.
-30, 1, 3
Solve -3*m**3/2 - 63*m**2 - 120*m = 0.
-40, -2, 0
Factor z**3/2 + 10*z**2/3 + 31*z/6 + 7/3.
(z + 1)**2*(3*z + 14)/6
Solve s**5 + 7*s**4 - 39*s**3 + 53*s**2 - 22*s = 0 for s.
-11, 0, 1, 2
Factor -2*a**2/3 + 3772*a - 5335494.
-2*(a - 2829)**2/3
Factor -y**3 + 238*y**2 - 14161*y.
-y*(y - 119)**2
Find d such that 2*d**3/19 + 24*d**2/19 - 54*d/19 + 28/19 = 0.
-14, 1
Let 14*y**4 + 40*y**3 - 14*y**2 - 40*y = 0. Calculate y.
-20/7, -1, 0, 1
Factor -2*m**2 + 54*m/5 - 4.
-2*(m - 5)*(5*m - 2)/5
Suppose -3*z**2 + 234*z - 4056 = 0. What is z?
26, 52
Let -3*z**4 - 12*z**3 + 207*z**2 + 228*z - 420 = 0. What is z?
-10, -2, 1, 7
Let -2*c**3 + 14*c**2 - 22*c + 10 = 0. Calculate c.
1, 5
Factor -5*x**4 + 115*x**3 - 105*x**2 - 115*x + 110.
-5*(x - 22)*(x - 1)**2*(x + 1)
Find p, given that p**5 - 18*p**4 + 30*p**3 + 532*p**2 + 33*p - 2178 = 0.
-3, 2, 11
Factor -n**5 + 17*n**4 + 42*n**3 - 68*n**2 - 152*n.
-n*(n - 19)*(n - 2)*(n + 2)**2
Solve 3*q**4/5 + 78*q**3/5 + 561*q**2/5 + 270*q + 864/5 = 0 for q.
-16, -6, -3, -1
Solve q**3/3 - 22*q**2/3 + 91*q/3 - 34 = 0 for q.
2, 3, 17
Factor -5*w**4 - 4*w**3 + 5*w**2 + 4*w.
-w*(w - 1)*(w + 1)*(5*w + 4)
Let 3*n**2/5 - 72*n + 2160 = 0. What is n?
60
Determine p, given that -16*p**5 - 812*p**4/3 - 3676*p**3/3 - 408*p**2 + 6272*p/3 - 512/3 = 0.
-8, -2, 1/12, 1
Solve -s**3/5 - 2072*s**2/5 - 215073*s - 428490 = 0 for s.
-1035, -2
Determine z so that 5*z**2 - 365*z + 360 = 0.
1, 72
Factor -b**4/4 + 37*b**3/2 - 240*b**2 + 2275*b/2 - 7375/4.
-(b - 59)*(b - 5)**3/4
What is b in b**5 + 13*b**4 - 31*b**3 - 13*b**2 + 30*b = 0?
-15, -1, 0, 1, 2
Find i such that 10*i**5/11 + 92*i**4/11 - 92*i**3/11 - 112*i**2/11 + 82*i/11 + 20/11 = 0.
-10, -1, -1/5, 1
What is h in 2*h**5/9 + 8*h**4/3 - 538*h**3/9 - 2408*h**2/3 - 6664*h/9 = 0?
-14, -1, 0, 17
Let 4*d**2 - 92*d - 96 = 0. Calculate d.
-1, 24
Factor -x**4/2 - 8*x**3 + 35*x**2/2 - 9*x.
-x*(x - 1)**2*(x + 18)/2
Factor 5*l**3 - 130*l**2 + 625*l + 760.
5*(l - 19)*(l - 8)*(l + 1)
Factor -3*c**3/7 - 162*c**2/7 - 141*c/7 + 954/7.
-3*(c - 2)*(c + 3)*(c + 53)/7
Factor -4*o**2/5 - 112*o + 564/5.
-4*(o - 1)*(o + 141)/5
Factor 3*i**3/2 + 14*i**2 + 43*i/2 - 21.
(i + 3)*(i + 7)*(3*i - 2)/2
Factor 3*l**3 + 15*l**2 - 123*l - 135.
3*(l - 5)*(l + 1)*(l + 9)
Let 3*g**2 - 81*g - 372 = 0. Calculate g.
-4, 31
Find v such that v**3 - 22*v**2 - 75*v = 0.
-3, 0, 25
Solve -2*i**3 + 22*i**2 - 76*i + 80 = 0 for i.
2, 4, 5
Let -16*o**2/3 + 8*o - 3 = 0. Calculate o.
3/4
Determine b, given that 12*b**4 + 112*b**3 + 204*b**2 + 56*b = 0.
-7, -2, -1/3, 0
Let 4*k**3 - 2244*k**2 + 419628*k - 26156812 = 0. Calculate k.
187
Factor 4*x**2/5 - 954*x/5 - 478/5.
2*(x - 239)*(2*x + 1)/5
Factor 3*c**2/4 + 153*c/2 + 1995/4.
3*(c + 7)*(c + 95)/4
What is g in 9*g**2 + 30*g + 9 = 0?
-3, -1/3
What is h in 2*h**2/21 + 12*h/7 - 162/7 = 0?
-27, 9
What is j in -j**5/2 + 18*j**4 - 323*j**3/2 - 18*j**2 + 162*j = 0?
-1, 0, 1, 18
Find v, given that 4*v**5 - 116*v**4 - 144*v**3 + 704*v**2 + 512*v - 960 = 0.
-2, 1, 2, 30
Suppose -q**5/4 + 705*q**4 - 497025*q**3 = 0. Calculate q.
0, 1410
Solve -g**2 + 98*g + 99 = 0.
-1, 99
Factor 3*m**3/2 + 99*m**2/2 + 309*m - 360.
3*(m - 1)*(m + 10)*(m + 24)/2
What is d in d**5/2 - 17*d**4/2 + 28*d**3 + 46*d**2 - 288*d + 288 = 0?
-3, 2, 4, 12
Suppose -4*l**4 + 28*l**3 + 92*l**2 - 156*l - 216 = 0. What is l?
-3, -1, 2, 9
Let -5*p**4 + 30*p**3 - 45*p**2 + 20*p = 0. What is p?
0, 1, 4
Factor 2*x**3/19 + 284*x**2/19 + 10360*x/19 + 19600/19.
2*(x + 2)*(x + 70)**2/19
Suppose -2*n**5 - 24*n**4 - 96*n**3 - 160*n**2 - 96*n = 0. What is n?
-6, -2, 0
Factor l**3 - 10*l**2 - 137*l + 306.
(l - 17)*(l - 2)*(l + 9)
Factor 18*m**2 - 33*m/2 - 3/2.
3*(m - 1)*(12*m + 1)/2
Suppose 4*f**3 - 40*f**2 - 44*f = 0. What is f?
-1, 0, 11
Suppose -128*t**4/7 - 508*t**3/7 + 400*t**2/7 + 2292*t/7 - 72/7 = 0. Calculate t.
-3, 1/32, 2
Let t**2 - 155*t + 154 = 0. Calculate t.
1, 154
Factor 2*d**2/11 + 62*d/11 + 116/11.
2*(d + 2)*(d + 29)/11
Factor 18*o**2/7 - 248*o/7 - 8.
2*(o - 14)*(9*o + 2)/7
Suppose -y**4/8 - y**3/8 + 5*y**2/4 - y = 0. Calculate y.
-4, 0, 1, 2
Factor -2*z**2/3 + 1456*z/3 - 264992/3.
-2*(z - 364)**2/3
Find g such that -21*g**3 + 111*g**2 - 30*g = 0.
0, 2/7, 5
Find v such that 85*v**4 - 75*v**3 - 350*v**2 + 300*v + 40 = 0.
-2, -2/17, 1, 2
Suppose 4*q**5 + 8*q**4 - 28*q**3 + 16*q**2 = 0. What is q?
-4, 0, 1
Determine c, given that 5*c**2 + 70*c + 225 = 0.
-9, -5
Factor -2*i**2/11 - 68*i/11 - 6.
-2*(i + 1)*(i + 33)/11
Factor -3*t**2 + 5808*t - 2811072.
-3*(t - 968)**2
Factor -15*r**2 + 27*r - 12.
-3*(r - 1)*(5*r - 4)
Factor i**2/7 - 3172*i/7 + 2515396/7.
(i - 1586)**2/7
Let -5*k**3 - 1055*k**2 + 15505*k - 55125 = 0. What is k?
-225, 7
Factor 2*x**3/5 + 18*x**2/5 + 52*x/5 + 48/5.
2*(x + 2)*(x + 3)*(x + 4)/5
Determine o so that 4*o**3/3 - 73*o**2/6 + 73*o/6 - 4/3 = 0.
1/8, 1, 8
Suppose -2*j**5/5 - 82*j**4/5 - 126*j**3 - 1782*j**2/5 - 1728*j/5 = 0. What is j?
-32, -3, 0
Find m, given that -2*m**3/5 - 434*m**2/5 - 22422*m/5 + 24642 = 0.
-111, 5
Find j such that -5*j**2 + 9490*j - 4503005 = 0.
949
Factor -35*b**2 + 1915*b + 550.
-5*(b - 55)*(7*b + 2)
Factor -3*a**3 - 57*a**2 + 123*a - 63.
-3*(a - 1)**2*(a + 21)
Let -25*s**5 + 130*s**4 - 250*s**3 + 220*s**2 - 85*s + 10 = 0. What is s?
1/5, 1, 2
Find i, given that 2*i**5/9 - 8*i**4/9 - 8*i**3/9 + 44*i**2/9 + 2*i/3 - 4 = 0.
-2, -1, 1, 3
Factor 3*r**3/8 - 3*r**2 + 39*r/8 - 9/4.
3*(r - 6)*(r - 1)**2/8
Solve 3*g**2/4 + 909*g/4 = 0 for g.
-303, 0
Factor -k**2/4 + 71*k/4 - 477/2.
-(k - 53)*(k - 18)/4
Factor z**2 - 39*z + 338.
(z - 26)*(z - 13)
What is y in -4*y**3 + 20*y**2 + 144*y = 0?
-4, 0, 9
Factor w**3/4 - 15*w**2/4 - 9*w/2 + 8.
(w - 16)*(w - 1)*(w + 2)/4
Find m such that -2*