Factor 21*p**3/5 + 348*p**2/5 + 477*p/5 - 54.
3*(p + 2)*(p + 15)*(7*p - 3)/5
Solve -j**3/5 - 39*j**2/5 + 124*j/5 - 84/5 = 0 for j.
-42, 1, 2
Factor -18*r**3/7 - 156*r**2/7 - 312*r/7 - 144/7.
-6*(r + 2)*(r + 6)*(3*r + 2)/7
Find m, given that -2*m**4 - 44*m**3 - 74*m**2 + 1848*m - 3528 = 0.
-14, 3
Factor 5*b**2 + 4770*b.
5*b*(b + 954)
Factor -2*u**2/11 - 28*u/11 - 98/11.
-2*(u + 7)**2/11
Factor -2*n**3/15 - 18*n**2/5 - 32*n - 1408/15.
-2*(n + 8)**2*(n + 11)/15
Let -t**3/8 + t**2 - 19*t/8 + 3/2 = 0. What is t?
1, 3, 4
Suppose -5*q**5 - 200*q**4 + 415*q**3 - 210*q**2 = 0. What is q?
-42, 0, 1
Factor 30*y**3 + 5155*y**2 - 860*y.
5*y*(y + 172)*(6*y - 1)
Factor 3*u**3/2 + 69*u**2/2 - 36*u.
3*u*(u - 1)*(u + 24)/2
Factor -4*h**2 - 328*h - 6724.
-4*(h + 41)**2
Factor -i**2/3 - i/3 + 56/3.
-(i - 7)*(i + 8)/3
Determine t, given that t**3/2 + 7*t**2/2 + 8*t + 6 = 0.
-3, -2
Find j such that j**3/2 - 3*j**2 = 0.
0, 6
Factor -2*t**4/21 + 4*t**3/21 - 4*t/21 + 2/21.
-2*(t - 1)**3*(t + 1)/21
Let 5*x**5 + 105*x**4 + 485*x**3 - 105*x**2 - 490*x = 0. What is x?
-14, -7, -1, 0, 1
Let -4*j**5/7 - 96*j**4/7 - 848*j**3/7 - 472*j**2 - 756*j - 392 = 0. What is j?
-7, -2, -1
Factor v**2/6 - 13*v/3 + 55/2.
(v - 15)*(v - 11)/6
Solve 2*d**5/17 - 3486*d**4/17 + 13924*d**3/17 - 1228*d**2 + 13914*d/17 - 3478/17 = 0.
1, 1739
Factor -t**2/3 + 76*t/3 - 473.
-(t - 43)*(t - 33)/3
Determine j, given that 5*j**4 + 45*j**3 + 40*j**2 = 0.
-8, -1, 0
What is j in -j**5 - 442*j**4 - 441*j**3 = 0?
-441, -1, 0
Find i such that 2*i**4 - 36*i**2 + 64*i - 30 = 0.
-5, 1, 3
Factor -2*w**2/9 - 320*w/9 - 12800/9.
-2*(w + 80)**2/9
Factor -5*h**2 + 2080*h - 216320.
-5*(h - 208)**2
What is o in -4*o**5 - 92*o**4 - 244*o**3 - 68*o**2 + 248*o + 160 = 0?
-20, -2, -1, 1
Factor 7*a**5 - 19*a**4 - 34*a**3 - 8*a**2.
a**2*(a - 4)*(a + 1)*(7*a + 2)
Factor 4*m**2 + 12192*m + 9290304.
4*(m + 1524)**2
What is h in -2*h**3/21 - 2*h**2/21 + 4*h/7 = 0?
-3, 0, 2
Factor -6*q**2 + 28*q - 30.
-2*(q - 3)*(3*q - 5)
Let 2*y**5/15 + 92*y**4/15 + 382*y**3/5 + 2024*y**2/15 + 968*y/15 = 0. Calculate y.
-22, -1, 0
Solve -2*t**4 + 8*t**3 + 14*t**2 - 20*t = 0.
-2, 0, 1, 5
Suppose 2*p**5/15 - 52*p**4/15 - 26*p**3 + 32*p**2/3 + 1048*p/15 - 256/5 = 0. What is p?
-6, -2, 1, 32
Determine z, given that -5*z**4/3 - 13*z**3/3 + 611*z**2/3 - 827*z/3 + 78 = 0.
-13, 2/5, 1, 9
Factor -3*d**3 - 12*d**2 - 9*d.
-3*d*(d + 1)*(d + 3)
Factor 10*r**5/7 - 94*r**4/7 + 306*r**3/7 - 54*r**2 + 108*r/7.
2*r*(r - 3)**3*(5*r - 2)/7
Factor -x**2 + 18*x + 280.
-(x - 28)*(x + 10)
Suppose -3*v**2 + 5172*v - 2229132 = 0. Calculate v.
862
Solve -g**2/5 - 99*g/5 = 0 for g.
-99, 0
Solve 3*g**5 + 3*g**4 - 3*g**3 - 3*g**2 = 0.
-1, 0, 1
Solve -o**5/5 + 13*o**4/5 - o**3 - 17*o**2 + 6*o/5 + 72/5 = 0.
-2, -1, 1, 3, 12
Let 2*l**5/11 + 1446*l**4/11 + 259188*l**3/11 - 786260*l**2/11 + 71742*l - 23958 = 0. What is l?
-363, 1
Factor -5*c**2 - 10385*c - 20750.
-5*(c + 2)*(c + 2075)
Find w, given that -25*w**3 + 195*w**2 - 290*w + 120 = 0.
4/5, 1, 6
Factor 9826*h**5/9 + 194786*h**4/9 + 948022*h**3/9 - 171362*h**2/9 + 10160*h/9 - 200/9.
2*(h + 10)**2*(17*h - 1)**3/9
Suppose -18*h**5 + 1148*h**4 + 1444*h**3 - 888*h**2 - 1426*h - 260 = 0. Calculate h.
-1, -2/9, 1, 65
Suppose -4*r**2 + 184*r - 180 = 0. What is r?
1, 45
Suppose -2*h**2 + 56*h + 120 = 0. Calculate h.
-2, 30
Suppose 2*q**4/11 + 10*q**3/11 - 38*q**2/11 - 130*q/11 + 300/11 = 0. Calculate q.
-5, 2, 3
Factor -m**3 - 1137*m**2 - 323760*m - 322624.
-(m + 1)*(m + 568)**2
Determine m, given that -m**2 - 4510*m - 5085025 = 0.
-2255
Factor v**2/4 - 1059*v/8 - 265/4.
(v - 530)*(2*v + 1)/8
Factor -21*a**2/5 - 573*a/5 - 162/5.
-3*(a + 27)*(7*a + 2)/5
Factor c**5 + 63*c**4 + 699*c**3 + 637*c**2.
c**2*(c + 1)*(c + 13)*(c + 49)
What is f in -f**4/3 - 532*f**3/3 + 1072*f**2 - 6448*f/3 + 4304/3 = 0?
-538, 2
Factor -h**3 + 8*h**2.
-h**2*(h - 8)
Factor -2*u**2 - 22*u - 36.
-2*(u + 2)*(u + 9)
Let t**2/4 + 103*t/2 + 205/4 = 0. Calculate t.
-205, -1
Suppose 8*p**2 - 342*p - 86 = 0. What is p?
-1/4, 43
Solve -2*k**5 + 40*k**4 + 468*k**3 + 1512*k**2 + 1566*k = 0 for k.
-3, 0, 29
Let -u**4/8 - 55*u**3/8 - 239*u**2/4 - 321*u/2 - 135 = 0. Calculate u.
-45, -6, -2
Factor -9*m**4 + 56*m**3 + 51*m**2 - 14*m.
-m*(m - 7)*(m + 1)*(9*m - 2)
Solve -2*x**5/5 - 172*x**4/5 + 174*x**3/5 = 0.
-87, 0, 1
Factor -7*g**2/2 - 6715*g/2 - 959.
-(g + 959)*(7*g + 2)/2
Factor s**3/4 + 1433*s**2/4 - 8625*s/4 + 12951/4.
(s - 3)**2*(s + 1439)/4
Factor -3*n**4 - 6*n**3 + 117*n**2 + 120*n - 1200.
-3*(n - 4)**2*(n + 5)**2
Solve 3*m**4 + 21*m**3 + 27*m**2 - 81*m - 162 = 0.
-3, 2
Factor -2*z**5/5 - 44*z**4/5 + 166*z**3/5 + 4488*z**2/5 - 20808*z/5.
-2*z*(z - 6)**2*(z + 17)**2/5
Factor 4*f**2/3 - 4/3.
4*(f - 1)*(f + 1)/3
Factor n**2/3 + 11*n + 116/3.
(n + 4)*(n + 29)/3
Suppose -2*r**4 - 28*r**3 + 34*r**2 + 60*r = 0. What is r?
-15, -1, 0, 2
Determine w, given that -2*w**2/5 + 36*w/5 + 288/5 = 0.
-6, 24
Find y such that -y**2 - 9*y + 190 = 0.
-19, 10
Determine k so that -2*k**4/5 + 4*k**3/5 + 6*k**2/5 - 8*k/5 - 8/5 = 0.
-1, 2
Suppose 4*k**4/3 + 3*k**3 + 2*k**2 + k/3 = 0. Calculate k.
-1, -1/4, 0
What is s in -15*s**2 - 117*s + 24 = 0?
-8, 1/5
Solve -2*j**4/11 - 32*j**3/11 - 98*j**2/11 - 12*j/11 + 144/11 = 0 for j.
-12, -3, -2, 1
Factor -2*z**3/3 - 3560*z**2 - 4752600*z.
-2*z*(z + 2670)**2/3
Factor -5*m**2/2 + 4590*m - 2106810.
-5*(m - 918)**2/2
Solve 2*q**2/13 - 18*q/13 - 504/13 = 0 for q.
-12, 21
Factor h**2/5 - 9*h/5 + 4.
(h - 5)*(h - 4)/5
Suppose 2*v**3/5 - 4*v**2/5 - 38*v - 120 = 0. What is v?
-5, 12
Let -u**5/4 + 11*u**4/4 - 23*u**3/2 + 45*u**2/2 - 81*u/4 + 27/4 = 0. What is u?
1, 3
Factor 3*j**5/5 + 3*j**4 + 3*j**3/5 - 51*j**2/5 - 66*j/5 - 24/5.
3*(j - 2)*(j + 1)**3*(j + 4)/5
What is t in -2*t**2 + 30*t + 68 = 0?
-2, 17
Factor -5*c**4 - 2840*c**3 - 538650*c**2 - 34292160*c - 33756345.
-5*(c + 1)*(c + 189)**3
Factor -4*r**2/11 + 78*r/11 + 40/11.
-2*(r - 20)*(2*r + 1)/11
Find q, given that q**4 - 5502*q**3 + 10090668*q**2 - 6168761704*q = 0.
0, 1834
Factor -2*h**2/5 - 14*h/5 + 24.
-2*(h - 5)*(h + 12)/5
Solve 2*s**4/15 - 16*s**3/5 + 88*s**2/15 = 0.
0, 2, 22
Solve -z**5 - 8*z**4 - 12*z**3 = 0 for z.
-6, -2, 0
Find m such that 2*m**3/5 - 146*m**2/5 + 2432*m/5 + 8664/5 = 0.
-3, 38
Solve -3*n**2/5 + 42*n/5 + 57 = 0.
-5, 19
Factor -y**4 + 35*y**3 - 268*y**2 - 1044*y + 6480.
-(y - 18)**2*(y - 4)*(y + 5)
Factor 3*y**5 + 18*y**4 + 39*y**3 + 36*y**2 + 12*y.
3*y*(y + 1)**2*(y + 2)**2
Factor 46*m**3 + 73*m**2 - 40*m - 4.
(m + 2)*(2*m - 1)*(23*m + 2)
Let -2*b**2/21 - 44*b - 922/21 = 0. What is b?
-461, -1
Factor 2*w**4 + 127*w**3 + 63*w**2.
w**2*(w + 63)*(2*w + 1)
Factor -3*a**5/5 - 231*a**4/5 - 4782*a**3/5 - 2598*a**2 - 12543*a/5 - 4107/5.
-3*(a + 1)**3*(a + 37)**2/5
Factor 2*j**3/7 - 16*j**2/7.
2*j**2*(j - 8)/7
Let -115*k**3 - 335*k**2 - 200*k + 20 = 0. Calculate k.
-2, -1, 2/23
Suppose l**3 + 7*l**2 - 126*l + 288 = 0. Calculate l.
-16, 3, 6
Determine n, given that -2*n**2/13 + 20*n + 262/13 = 0.
-1, 131
Solve -4*t**5 - 21*t**4 + 19*t**3 + 134*t**2 - 96*t - 32 = 0.
-4, -1/4, 1, 2
Factor -2*w**2/5 - 12*w/5 - 18/5.
-2*(w + 3)**2/5
Find k, given that 4*k**5 - 12*k**4 + 8*k**3 = 0.
0, 1, 2
Factor -z**5/4 + 101*z**4/4 - 2499*z**3/4 - 2601*z**2/4.
-z**2*(z - 51)**2*(z + 1)/4
Let 5*f**4/2 - 85*f**3/2 - 260*f**2 + 930*f + 2520 = 0. Calculate f.
-6, -2, 4, 21
Factor -4*m**5/9 - 208*m**4/9 - 2488*m**3/9 + 624*m**2 - 324*m.
-4*m*(m - 1)**2*(m + 27)**2/9
Determine q so that 3*q**2 - 12198*q + 12399267 = 0.
2033
Suppose 309*v**2 - 327*v + 18 = 0. What is v?
6/103, 1
Determine y so that y**4/6 - 23*y**3/3 + 191*y**2/2 - 506*y/3 + 242/3 = 0.
1, 22
Find z such that 2*z**5/9 - 10*z**4/3 + 112*z**3/9 - 112*z**2/9 - 32*z/3 + 160/9 = 0.
-1, 2, 10
What is i in -3*i**5/2 + 6*i**4 + 225*i**3/8 + 183*i**2/8 + 21*i/4 = 0?
-2, -1/2, 0, 7
Determine h, given that h**3/6 - 5*h**2/6 + h/3 + 4/3 = 0.
-1, 2, 4
Factor -3*d**3 + 207*d**2 - 198*d - 408.
-3*(d - 68)*(d - 2)*(d + 1)
Determine y so that -4*y**5 - 184*y**4 + 1196*y**3 - 2656*y**2 + 2480*y - 832 = 0.
-52, 1, 2
Factor -98*q**3 - 2296*q**2 + 1336*q - 192.
-2*(q + 24)*(7*q - 2)**2
Solve 5*r**5 - 50*r**4 + 40*r**3 + 50*r**2 - 45*r = 0 for r.
-1, 0, 1, 9
Find f such that -f**3/2 + 15*f**2/2 - 6*f - 14 = 0.
-1, 2, 14
Factor z**5/3 - 11*z**4/3 + 46*z**3/3 - 9