 18)*(v + 51)/4
Factor 4*f**2/5 + 64*f/5 + 256/5.
4*(f + 8)**2/5
What is n in -5*n**2 - 180*n - 340 = 0?
-34, -2
Find n, given that -5*n**4 - 50*n**3 + 660*n**2 + 3080*n + 3200 = 0.
-16, -2, 10
What is c in 14*c**4/3 + 38*c**3/3 - 26*c**2/3 - 38*c/3 + 4 = 0?
-3, -1, 2/7, 1
Suppose -f**2/2 + 23*f/2 - 51 = 0. What is f?
6, 17
Determine g, given that 3*g**4 + 735*g**3 + 46101*g**2 + 131769*g = 0.
-121, -3, 0
Determine q so that q**3/6 - 7*q**2/6 + q/3 + 20/3 = 0.
-2, 4, 5
Find x, given that x**5/6 + 5*x**4/3 - x**3/6 - 47*x**2/3 - 2*x + 36 = 0.
-9, -3, -2, 2
Factor 4*m**2 - 3140*m + 3136.
4*(m - 784)*(m - 1)
Factor -i**3 - 3*i**2.
-i**2*(i + 3)
Factor 5*m**4/4 + 163*m**3/4 - 59*m**2 + 17*m.
m*(m - 1)*(m + 34)*(5*m - 2)/4
Solve -5*r**5/4 - 275*r**4/4 - 225*r**3/4 + 2375*r**2/4 - 1475*r/2 + 270 = 0 for r.
-54, -4, 1
Determine y so that y**5/5 + 16*y**4/5 + 13*y**3/5 - 6*y**2 = 0.
-15, -2, 0, 1
Factor 5*f**3/6 + 13*f**2/3 + 35*f/6 + 1.
(f + 2)*(f + 3)*(5*f + 1)/6
Suppose 35*c**4 - 6220*c**3 + 4415*c**2 + 1770*c = 0. Calculate c.
-2/7, 0, 1, 177
Suppose 3*q**2 + 2889*q + 5766 = 0. What is q?
-961, -2
Solve 100*s**4 + 1120*s**3 + 156*s**2 - 688*s + 176 = 0 for s.
-11, -1, 2/5
Determine h so that -2*h**3 - 6*h**2 + 162*h - 154 = 0.
-11, 1, 7
Determine c, given that 4*c**3 + 12*c**2 + 8*c = 0.
-2, -1, 0
Find f such that 8*f**5/7 + 10*f**4/7 - 12*f**3/7 - 16*f**2/7 + 4*f/7 + 6/7 = 0.
-1, 3/4, 1
Factor -p**3 + 317*p**2 + 638*p.
-p*(p - 319)*(p + 2)
Find x, given that -x**3 - 72*x**2 - 141*x - 70 = 0.
-70, -1
Let 27*c**5/2 + 3*c**4 - 135*c**3/2 - 15*c**2 + 54*c + 12 = 0. What is c?
-2, -1, -2/9, 1, 2
Determine h so that -5*h**3 - 60*h**2 + 1265*h - 4200 = 0.
-24, 5, 7
Determine m so that -5*m**4/2 - 35*m**3/2 + 225*m**2/2 + 2375*m/2 + 2500 = 0.
-5, 8
Find u, given that 21*u**2 - 76*u + 39 = 0.
13/21, 3
Factor 3*f**4/4 + 31*f**3/4 + 37*f**2/2 + 5*f - 14.
(f + 2)**2*(f + 7)*(3*f - 2)/4
Let 4*m**5 - 40*m**4 - 52*m**3 + 88*m**2 = 0. Calculate m.
-2, 0, 1, 11
Factor -2*q**3/7 + 1955*q**2/7 + 2936*q/7 + 979/7.
-(q - 979)*(q + 1)*(2*q + 1)/7
Factor -2*s**2 - 170*s - 2412.
-2*(s + 18)*(s + 67)
Find k, given that 21*k**5 - 99*k**4 + 117*k**3 - 21*k**2 - 18*k = 0.
-2/7, 0, 1, 3
Factor -u**2/8 - 47*u/4 - 2209/8.
-(u + 47)**2/8
Factor -2*j**2/5 - 3836*j/5 - 1839362/5.
-2*(j + 959)**2/5
Factor -2*w**3 - 54*w**2 + 258*w + 310.
-2*(w - 5)*(w + 1)*(w + 31)
Let -2*d**5 + 24*d**4 + 10*d**3 - 672*d**2 + 640*d = 0. What is d?
-5, 0, 1, 8
What is a in -12*a**2 - 260*a + 88 = 0?
-22, 1/3
Solve 2*s**5 - 396*s**4 + 6012*s**3 - 34696*s**2 + 87810*s - 81900 = 0 for s.
3, 5, 182
Solve 5*m**3 + 105*m**2 + 280*m + 180 = 0.
-18, -2, -1
Solve 5*h**3 + 360*h**2 - 735*h + 370 = 0.
-74, 1
Factor 5*w**4 - 180*w**3 + 2270*w**2 - 11700*w + 21125.
5*(w - 13)**2*(w - 5)**2
Determine k, given that -32*k**4 + 60*k**3 + 424*k**2 + 372*k + 40 = 0.
-2, -1, -1/8, 5
Determine c, given that 12*c**5 - 60*c**4 - 33*c**3 + 192*c**2 - 141*c + 30 = 0.
-2, 1/2, 1, 5
Solve -3*h**4 - 51*h**3 - 189*h**2 + 243*h = 0 for h.
-9, 0, 1
Factor 10*v**5 - 95*v**4 + 310*v**3 - 380*v**2 + 40*v + 160.
5*(v - 4)*(v - 2)**3*(2*v + 1)
Find x, given that -6*x**4/7 - 156*x**3/7 - 888*x**2/7 - 252*x - 1026/7 = 0.
-19, -3, -1
Determine x so that -2*x**4 - 46*x**3 - 328*x**2 - 824*x - 672 = 0.
-12, -7, -2
Let l**2/3 + 56*l + 165 = 0. What is l?
-165, -3
Let -75*r**5/8 + 15*r**4/4 + 9*r**3 - 15*r**2/4 + 3*r/8 = 0. What is r?
-1, 0, 1/5, 1
Factor 2*j**2/9 + 38*j/9 + 4.
2*(j + 1)*(j + 18)/9
Suppose 3*t**4/7 - 51*t**3/7 + 276*t**2/7 - 480*t/7 = 0. Calculate t.
0, 4, 5, 8
Factor -3*y**4 + 138*y**3 + 432*y**2 + 438*y + 147.
-3*(y - 49)*(y + 1)**3
Solve -f**4/6 - 691*f**3/3 - 477481*f**2/6 = 0.
-691, 0
Find o, given that 3*o**4/2 - 105*o**3/2 + 297*o**2/2 - 291*o/2 + 48 = 0.
1, 32
Solve -5*m**5/3 + 40*m**4/3 - 80*m**3/3 = 0.
0, 4
What is q in 3*q**4 + 189*q**3 + 3246*q**2 + 8460*q + 5400 = 0?
-30, -2, -1
What is d in -3*d**4 - 111*d**3 - 1080*d**2 - 972*d = 0?
-18, -1, 0
Factor 2*l**2/11 - 316*l/11 + 12482/11.
2*(l - 79)**2/11
Let 5*n**3 - 3025*n**2 - 3030*n = 0. What is n?
-1, 0, 606
Factor 25*r**2 + 320*r - 65.
5*(r + 13)*(5*r - 1)
Let -3*p**3 + 84*p**2 - 108*p - 7776 = 0. Calculate p.
-8, 18
Determine t so that t**2/4 - 53*t/4 + 51/2 = 0.
2, 51
Suppose -l**5/2 + 7*l**4 + 46*l**3 + 31*l**2 - 91*l/2 - 38 = 0. Calculate l.
-4, -1, 1, 19
Let 56*n**2/9 + 2*n/9 = 0. Calculate n.
-1/28, 0
Factor 3*o**4 + 15*o**3 + 24*o**2 + 12*o.
3*o*(o + 1)*(o + 2)**2
Determine m so that 4*m**4/7 - 36*m**2/7 = 0.
-3, 0, 3
Determine h so that 2*h**2 - 2*h - 24 = 0.
-3, 4
Let -2*r**4/9 + 10*r**3/3 - 148*r**2/9 + 88*r/3 - 16 = 0. Calculate r.
1, 2, 6
Factor -2*z**2 + 16*z.
-2*z*(z - 8)
Factor -4*j**3 + 840*j**2 - 36612*j - 817216.
-4*(j - 113)**2*(j + 16)
Find v such that -2*v**3/13 - 2*v**2/13 + 12*v/13 = 0.
-3, 0, 2
Solve 3*u**3/5 + 129*u**2 = 0 for u.
-215, 0
Factor y**4/4 + 35*y**3/4 - 37*y**2/4 - 35*y/4 + 9.
(y - 1)**2*(y + 1)*(y + 36)/4
Solve 2*u**4/7 + 92*u**3/7 - 24*u**2/7 - 1136*u/7 - 1472/7 = 0 for u.
-46, -2, 4
Suppose 3*q**3 - 12*q**2 - 33*q - 18 = 0. Calculate q.
-1, 6
Factor r**2 - 5*r - 14.
(r - 7)*(r + 2)
Factor -2*f**3 - 4520*f**2 + 13574*f - 9052.
-2*(f - 2)*(f - 1)*(f + 2263)
Factor -2*d**4/5 - 38*d**3/5 - 36*d**2/5.
-2*d**2*(d + 1)*(d + 18)/5
Factor -2*l**4/5 + 4*l**3 - 26*l**2/5 - 24*l - 72/5.
-2*(l - 6)**2*(l + 1)**2/5
Suppose -2*m**4/5 + 1144*m**3/5 = 0. What is m?
0, 572
Factor -294*g**2 + 20790*g - 735075/2.
-3*(14*g - 495)**2/2
Factor -28*w**2 - 1940*w - 552.
-4*(w + 69)*(7*w + 2)
Determine c so that 3*c**2/4 + 51*c/4 = 0.
-17, 0
Factor 5*w**3 - 275*w**2 - 2810*w - 4480.
5*(w - 64)*(w + 2)*(w + 7)
Factor -3*b**4 + 282*b**3 - 7155*b**2 + 24300*b.
-3*b*(b - 45)**2*(b - 4)
Factor 23*c**3/9 + 4*c**2/9 - 23*c/9 - 4/9.
(c - 1)*(c + 1)*(23*c + 4)/9
Factor -4*t**4 + 8*t**3 + 16*t**2 - 32*t.
-4*t*(t - 2)**2*(t + 2)
Determine d, given that -3*d**4/8 - 21*d**3/4 - 9*d**2/2 + 21*d/4 + 39/8 = 0.
-13, -1, 1
Factor 3*s**4 + 21*s**3 + 18*s**2 - 84*s - 120.
3*(s - 2)*(s + 2)**2*(s + 5)
Determine l, given that -14*l**5 - 6*l**4 = 0.
-3/7, 0
Let -2*l**3/9 - 8*l**2/9 - 2*l/9 + 4/3 = 0. What is l?
-3, -2, 1
Suppose t**2/2 + 41*t/2 + 74 = 0. Calculate t.
-37, -4
Factor -2*h**3 + 36*h**2 - 120*h - 400.
-2*(h - 10)**2*(h + 2)
Determine z, given that -z**4 + 26*z**3 - 72*z**2 + 70*z - 23 = 0.
1, 23
Solve -5*d**3 - 780*d**2 - 775*d = 0 for d.
-155, -1, 0
Factor -3*z**3 - 1707*z**2.
-3*z**2*(z + 569)
Solve 12*z**4/5 - 387*z**3/5 - 1776*z**2/5 + 5652*z/5 - 1296/5 = 0.
-6, 1/4, 2, 36
Factor -324*i**3 - 8388*i**2 - 7264*i - 1600.
-4*(i + 25)*(9*i + 4)**2
Solve -2*u**3/7 - 698*u**2/7 - 2768*u/7 - 2760/7 = 0 for u.
-345, -2
Find s, given that -3*s**4 - 132*s**3 - 1167*s**2 + 1302*s = 0.
-31, -14, 0, 1
Factor -3*g**3/4 + 39*g**2/4 + 12*g - 21.
-3*(g - 14)*(g - 1)*(g + 2)/4
Find f such that f**2/3 - 4*f + 32/3 = 0.
4, 8
What is n in n**4/4 - 9*n**3/4 - 11*n**2/4 + 9*n/4 + 5/2 = 0?
-1, 1, 10
Factor -q**3/2 - 8*q**2 + 17*q/2.
-q*(q - 1)*(q + 17)/2
Factor -4*g**3/7 - 27*g**2/7 - 60*g/7 - 44/7.
-(g + 2)**2*(4*g + 11)/7
Factor -4*k**2/5 + 8*k.
-4*k*(k - 10)/5
Factor 2*i**3 - 78*i**2 + 150*i - 74.
2*(i - 37)*(i - 1)**2
Factor 4*t**4 - 4744*t**3 + 1411332*t**2 - 2808448*t + 1401856.
4*(t - 592)**2*(t - 1)**2
Factor 4*b**4 + 8*b**3 - 44*b**2 - 48*b + 144.
4*(b - 2)**2*(b + 3)**2
What is p in -p**2/4 - 61*p/4 = 0?
-61, 0
Determine y so that -3*y**4 + 147*y**3 - 528*y**2 - 588*y + 2160 = 0.
-2, 2, 4, 45
Factor h**5/2 - 19*h**4 + 102*h**3 - 196*h**2 + 128*h.
h*(h - 32)*(h - 2)**3/2
Find q, given that -5*q**2 - 130*q - 600 = 0.
-20, -6
Find x such that 5*x**4/3 + 110*x**3/3 - 80*x**2 = 0.
-24, 0, 2
What is s in 2*s**5/5 - 16*s**4/5 + 10*s**3 - 76*s**2/5 + 56*s/5 - 16/5 = 0?
1, 2
Factor 5*o**4 + 150*o**3 - 480*o**2 + 490*o - 165.
5*(o - 1)**3*(o + 33)
Factor -89*u**2/2 - 1067*u/2 + 6.
-(u + 12)*(89*u - 1)/2
Find g such that -g**4/8 + 39*g**3/8 - 453*g**2/8 + 1241*g/8 + 867/4 = 0.
-1, 6, 17
Suppose 3*d**4/7 - 120*d**3/7 - 1104*d**2/7 + 46080*d/7 + 442368/7 = 0. Calculate d.
-12, 32
Factor 3*a**3/4 + 207*a**2/2 + 19035*a/4 + 72900.
3*(a + 45)**2*(a + 48)/4
Factor q**2/7 + 331*q/7 + 330/7.
(q + 1)*(q + 330)/7
Solve -6*r**5 + 15*r**4/2 + 117*r**3/2 + 33*r**2 - 12*r = 0.
-2, -1, 