360*a/7 + 108/7 = 0.
-1, 3/5, 2
Determine f, given that 5*f**3/2 + 46*f**2 + 113*f/2 - 51 = 0.
-17, -2, 3/5
Factor -a**3/7 - 8*a**2 - 69*a + 540/7.
-(a - 1)*(a + 12)*(a + 45)/7
Suppose -d**4/7 + 50*d**3/7 - 253*d**2/7 - 9300*d/7 - 34596/7 = 0. What is d?
-6, 31
What is t in -t**4 + 2*t**3 + 3*t**2 = 0?
-1, 0, 3
Determine i, given that -i**2/3 - 5200*i/3 - 6760000/3 = 0.
-2600
Factor -f**5/7 + 4*f**4/7 - 5*f**3/7 + 2*f**2/7.
-f**2*(f - 2)*(f - 1)**2/7
Suppose 90*i**3 + 525*i**2 + 385*i + 50 = 0. Calculate i.
-5, -2/3, -1/6
Factor 220*o**3 - 205*o**2 - 25*o + 10.
5*(o - 1)*(4*o + 1)*(11*o - 2)
Find c such that -12*c**4/7 - 75*c**3/7 - 114*c**2/7 - 24*c/7 = 0.
-4, -2, -1/4, 0
Factor b**4/4 + 18*b**3 + 101*b**2 + 132*b.
b*(b + 2)*(b + 4)*(b + 66)/4
Suppose -3025*g**3/6 - 14905*g**2/6 + 548*g/3 - 10/3 = 0. What is g?
-5, 2/55
Let 4*n**3 - 188*n**2 + 364*n - 180 = 0. What is n?
1, 45
Find t such that -4*t**2 + 5656*t - 5652 = 0.
1, 1413
Factor 3*o**2/2 + 279*o/2 - 141.
3*(o - 1)*(o + 94)/2
Factor 2*n**2 - 104*n + 102.
2*(n - 51)*(n - 1)
Solve 4*l**2 - 244*l - 248 = 0.
-1, 62
Factor 4*p**3 + 4*p**2 - 4*p - 4.
4*(p - 1)*(p + 1)**2
Suppose 3*a**3 - 27*a**2 - 3*a + 27 = 0. Calculate a.
-1, 1, 9
Suppose 3*g**3/7 + 1845*g**2 - 25839*g/7 + 12921/7 = 0. Calculate g.
-4307, 1
Let 3*y**3 + 30*y**2 - 129*y - 156 = 0. What is y?
-13, -1, 4
Factor -5*m**3 - 435*m**2 - 12615*m - 121945.
-5*(m + 29)**3
Factor -3*a**2 - 1668*a - 231852.
-3*(a + 278)**2
Let 4*y**3/7 + 32*y**2/7 + 36*y/7 - 72/7 = 0. Calculate y.
-6, -3, 1
Factor -v**4/4 + 53*v**3/4 + 109*v**2/4 + 55*v/4.
-v*(v - 55)*(v + 1)**2/4
Determine j so that 2*j**2/7 + 1492*j + 1947806 = 0.
-2611
Factor 3*c**4 + 45*c**3 + 189*c**2 + 147*c.
3*c*(c + 1)*(c + 7)**2
Determine j, given that -j**5/3 + 46*j**4/3 - 88*j**3/3 - 2*j**2/3 + 89*j/3 - 44/3 = 0.
-1, 1, 44
Factor c**2/2 - 3*c/2 + 1.
(c - 2)*(c - 1)/2
Find y such that -27*y**3 - 48*y**2 + 12*y = 0.
-2, 0, 2/9
Factor -3*x**2 + 2661*x.
-3*x*(x - 887)
Factor 124002*c**2 + 1992*c + 8.
2*(249*c + 2)**2
Factor 3*n**5 - 4*n**4 - 25*n**3 - 26*n**2 - 8*n.
n*(n - 4)*(n + 1)**2*(3*n + 2)
Let 12*x**2 + 164*x - 176 = 0. What is x?
-44/3, 1
Solve x**3/2 + 33*x**2/2 + 112*x + 96 = 0 for x.
-24, -8, -1
Let -r**3 - 321*r**2 + 1957*r - 1635 = 0. What is r?
-327, 1, 5
Factor -2*x**2/5 - 76*x/5 - 144/5.
-2*(x + 2)*(x + 36)/5
Solve -2*v**3/5 + 2*v**2 - 8*v/5 = 0.
0, 1, 4
Suppose -2*k**3/3 - 834*k**2 - 261250*k - 781250/3 = 0. Calculate k.
-625, -1
Determine l, given that 5*l**3 - 117*l**2 + 759*l - 847 = 0.
7/5, 11
Factor v**4/3 + v**3/3 - 4*v**2 - 28*v/3 - 16/3.
(v - 4)*(v + 1)*(v + 2)**2/3
Find k, given that 2*k**4/19 + 1498*k**3/19 - 1500*k**2/19 = 0.
-750, 0, 1
Factor 5*q**2 - 30*q - 80.
5*(q - 8)*(q + 2)
Let -4*c**5 - 44*c**4 - 88*c**3 + 240*c**2 + 288*c = 0. What is c?
-6, -1, 0, 2
Factor -2*z**5/5 + 26*z**4 + 132*z**3/5.
-2*z**3*(z - 66)*(z + 1)/5
Factor 4*a**3/3 + 16*a**2/3 + 4*a.
4*a*(a + 1)*(a + 3)/3
What is p in 5*p**4 - 950*p**3 + 42185*p**2 + 279300*p + 432180 = 0?
-3, 98
Determine k so that 4*k**3 + 48*k**2 + 84*k - 392 = 0.
-7, 2
Factor -4*l**2/3 - 8408*l/3 - 4418404/3.
-4*(l + 1051)**2/3
What is s in -s**5/8 + 57*s**4/8 + 241*s**3/8 + 187*s**2/8 - 30*s - 61/2 = 0?
-2, -1, 1, 61
Find f such that 4*f**5 - 72*f**4 + 192*f**3 - 184*f**2 + 60*f = 0.
0, 1, 15
Factor -5*r**3/4 - 65*r**2/2 + 2875*r/4 + 18750.
-5*(r - 24)*(r + 25)**2/4
Solve 3*y**4/2 - 9*y**3/2 - 6*y**2 = 0 for y.
-1, 0, 4
What is u in 12*u**4 + 16*u**3 - 20*u**2 - 8*u = 0?
-2, -1/3, 0, 1
Factor 4*u**3 + 4044*u**2 + 1020096*u - 1024144.
4*(u - 1)*(u + 506)**2
Factor 3*z**3/7 + 282*z**2/7 - 573*z/7 + 288/7.
3*(z - 1)**2*(z + 96)/7
Factor v**5 - 3*v**4 + 2*v**3.
v**3*(v - 2)*(v - 1)
Let -k**5/5 + 72*k**4/5 + 222*k**3/5 + 224*k**2/5 + 15*k = 0. Calculate k.
-1, 0, 75
Find k such that 45*k**3 + 51*k**2 + 6*k = 0.
-1, -2/15, 0
Solve -4*s**2/7 - 40*s/7 - 36/7 = 0 for s.
-9, -1
Suppose -2*t**5/3 + 42*t**4 - 980*t**3 + 31556*t**2/3 - 52822*t + 100842 = 0. Calculate t.
7, 21
Determine t, given that -9*t**4/5 + 48*t**3/5 + 7*t**2 + 6*t/5 = 0.
-1/3, 0, 6
Factor 12*u**5/13 + 658*u**4/13 - 110*u**3/13.
2*u**3*(u + 55)*(6*u - 1)/13
Find m, given that -2*m**3/3 + 18*m**2 - 52*m/3 = 0.
0, 1, 26
Factor 4*z**3 - 208*z**2 + 2704*z.
4*z*(z - 26)**2
Suppose -3*i**2 + 132*i - 1452 = 0. What is i?
22
Suppose -6*o**5/5 - 4*o**4 - 8*o**3/5 + 16*o**2/5 = 0. What is o?
-2, 0, 2/3
Factor 4*t**3 - 8*t**2.
4*t**2*(t - 2)
What is w in 3*w**4/2 - 135*w**3/2 + 66*w**2 = 0?
0, 1, 44
Determine u, given that -25*u**4 + 255*u**3 - 350*u**2 - 1740*u + 360 = 0.
-2, 1/5, 6
What is u in 2*u**5 + 8*u**4 + 8*u**3 = 0?
-2, 0
Find j, given that -4*j**3 + 372*j**2 - 360*j - 736 = 0.
-1, 2, 92
Let -6*t**5 - 22*t**4 + 42*t**3 + 6*t**2 - 20*t = 0. Calculate t.
-5, -2/3, 0, 1
Find q, given that -6*q**4 + 40*q**3 + 126*q**2 + 8*q - 72 = 0.
-2, -1, 2/3, 9
Suppose -4*f**4 + 4*f**3 + 12*f**2 - 4*f - 8 = 0. What is f?
-1, 1, 2
Factor 5*i**2 + 250*i - 4875.
5*(i - 15)*(i + 65)
Find a, given that -a**2/9 + 14*a/9 - 49/9 = 0.
7
Determine s, given that 5*s**3 + 40*s**2 - 100*s = 0.
-10, 0, 2
Factor -4*p**2 - 280*p - 276.
-4*(p + 1)*(p + 69)
Factor 7605*f**3 + 8840*f**2 + 1305*f - 810.
5*(9*f - 2)*(13*f + 9)**2
Factor 4*x**2 + 464*x + 13456.
4*(x + 58)**2
Factor 2*o**3/5 + 12*o**2/5 + 16*o/5.
2*o*(o + 2)*(o + 4)/5
Find j, given that -68*j**5/7 - 548*j**4/7 - 508*j**3/7 - 4*j**2 = 0.
-7, -1, -1/17, 0
Factor -5*s**4 + 35*s**3 - 180*s.
-5*s*(s - 6)*(s - 3)*(s + 2)
Factor -b**3/4 + 7*b/4 - 3/2.
-(b - 2)*(b - 1)*(b + 3)/4
Solve -2*g**2/7 + 198*g/7 - 2656/7 = 0 for g.
16, 83
Factor 17*x**3/5 + 151*x**2/5 - 18*x/5.
x*(x + 9)*(17*x - 2)/5
Factor 3*x**4 - 225*x**3 + 5832*x**2 - 57024*x + 124416.
3*(x - 24)**3*(x - 3)
Solve 5*c**2 + 20*c + 20 = 0 for c.
-2
Determine n, given that 2*n**5 + 6*n**4 - 32*n**3 + 24*n**2 = 0.
-6, 0, 1, 2
Solve -2*o**2/7 - 208*o/7 - 5408/7 = 0 for o.
-52
Factor -2*t**5/23 + 80*t**4/23 - 38*t**3 + 1444*t**2/23.
-2*t**2*(t - 19)**2*(t - 2)/23
Find p such that 2*p**4 + 22*p**3 + 84*p**2 + 128*p + 64 = 0.
-4, -2, -1
Determine o so that o**4/5 - 26*o**3/5 - 24*o**2 = 0.
-4, 0, 30
What is a in -2*a**4/5 - 7*a**3/5 + 12*a**2 - 92*a/5 + 32/5 = 0?
-8, 1/2, 2
Factor 5*b**2 - 75*b - 1430.
5*(b - 26)*(b + 11)
Solve -4*i**3 - 640*i**2 - 24948*i + 52488 = 0.
-81, 2
Factor y**4/4 + 179*y**3/4 + 5481*y**2/2 + 61393*y + 243890.
(y + 5)*(y + 58)**3/4
Solve -8*j**5/19 + 26*j**4/19 + 82*j**3/19 - 46*j**2/19 - 74*j/19 + 20/19 = 0.
-2, -1, 1/4, 1, 5
Factor 2*j**2/17 + 22*j/17 + 36/17.
2*(j + 2)*(j + 9)/17
Factor o**5 - 3*o**4 + 4*o**2.
o**2*(o - 2)**2*(o + 1)
Find w, given that w**3/6 + 31*w**2/6 - w/6 - 31/6 = 0.
-31, -1, 1
Find m, given that -603*m**2 - 1803*m + 18 = 0.
-3, 2/201
Let l**3/6 + 79*l**2/6 + 533*l/2 + 507/2 = 0. What is l?
-39, -1
Factor -4*r**4 - 176*r**3 + 552*r**2 - 560*r + 188.
-4*(r - 1)**3*(r + 47)
Solve 2*i**5/7 - 142*i**4/7 + 270*i**3/7 + 422*i**2/7 - 544*i/7 - 552/7 = 0.
-1, 2, 69
Determine l so that -2*l**2/15 + 2*l + 32/15 = 0.
-1, 16
Factor -i**2/6 - 3*i/2.
-i*(i + 9)/6
Solve -15*z**5/7 + 64*z**4/7 - 67*z**3/7 - 18*z**2/7 + 4*z + 8/7 = 0 for z.
-2/5, -1/3, 1, 2
Factor 3*d**5/5 - 3*d**3/5.
3*d**3*(d - 1)*(d + 1)/5
Let -a**5/4 - 3*a**4/2 + 5*a**3/2 + 4*a**2 - 33*a/4 + 7/2 = 0. Calculate a.
-7, -2, 1
Suppose p**4 - 24*p**3 + 66*p**2 - 64*p + 21 = 0. What is p?
1, 21
Factor 5*a**3/4 - 17195*a**2/4 + 34375*a/4 - 17185/4.
5*(a - 3437)*(a - 1)**2/4
Factor 2*q**3 - 166*q**2.
2*q**2*(q - 83)
Solve 3*s**3/5 + 48*s**2/5 + 123*s/5 + 78/5 = 0 for s.
-13, -2, -1
Let -574*t**4/17 + 1144*t**3/17 - 566*t**2/17 - 4*t/17 = 0. What is t?
-2/287, 0, 1
Determine j so that 3*j**3/7 + 21*j**2 - 303*j/7 + 153/7 = 0.
-51, 1
Let -56*q**3 - 451*q**2/2 - 6*q = 0. Calculate q.
-4, -3/112, 0
Factor 3*p**2 + 87*p + 84.
3*(p + 1)*(p + 28)
Factor 2*q**3 + 156*q**2 - 1710*q + 4400.
2*(q - 5)**2*(q + 88)
Suppose 5*f**4/4 - 105*f**3/4 + 25*f**2/2 + 1365*f + 2450 = 0. What is f?
-5, -2, 14
Factor -9*a**4 + 138*a**3 - 604*a**2 + 632*a - 192.
-(a - 8)*(a - 6)*(3*a - 2)**2
Find u such that 4*u**5 + 19*u**4 + 31*u**3 + 19*u**2 + u - 2 = 0.
-2, -1, 1/4
Find z, given that 9*z**5 - 96*z**4 + 228*z**3 + 78*z**2 - 381*z - 126 = 0.
-1, -1/3, 2, 3, 7
Factor -2*m**2/3 - 112*m + 680/3.
-2