, -1/4
Suppose 3*l**3/5 - 4371*l**2/5 + 8733*l/5 - 873 = 0. What is l?
1, 1455
Factor 3*o**4 - 327*o**3 + 10935*o**2 - 106737*o + 172302.
3*(o - 47)**2*(o - 13)*(o - 2)
Find a such that -54*a**2/7 - 206*a/7 - 28 = 0.
-2, -49/27
Let -3*z**4/2 + 687*z**3/2 - 51975*z**2/2 + 1262877*z/2 + 1369599 = 0. What is z?
-2, 77
Suppose 5*f**3 - 35*f**2 + 80*f - 60 = 0. Calculate f.
2, 3
Suppose -2*y**2 - 116*y - 330 = 0. What is y?
-55, -3
Factor 2*x**2 - 94*x - 96.
2*(x - 48)*(x + 1)
Factor 4*i**2 + 7096*i + 3147076.
4*(i + 887)**2
Factor -w**3 + 59*w**2 - 840*w.
-w*(w - 35)*(w - 24)
Solve -4*o**2 - 172*o + 176 = 0.
-44, 1
Factor -2*t**3/3 - 1390*t**2/3.
-2*t**2*(t + 695)/3
Let -2*z**3 + 6*z + 4 = 0. What is z?
-1, 2
What is s in 2*s**3/9 - 130*s**2/9 + 2134*s/9 - 10406/9 = 0?
11, 43
Find b such that 4*b**5 + 396*b**4 - 804*b**3 + 404*b**2 = 0.
-101, 0, 1
Find g such that 125*g**5/4 + 1475*g**4/4 + 2185*g**3/2 + 1205*g**2 + 530*g + 80 = 0.
-8, -2, -1, -2/5
Suppose 9*x**4 - 222*x**3 - 96*x**2 + 510*x + 375 = 0. What is x?
-1, 5/3, 25
Factor -2*n**5/5 + 12*n**4/5 - 26*n**3/5 + 24*n**2/5 - 8*n/5.
-2*n*(n - 2)**2*(n - 1)**2/5
Factor -2*c**4/15 - 2*c**3/3 - 14*c**2/15 - 2*c/5.
-2*c*(c + 1)**2*(c + 3)/15
Solve -4*u**3/7 - 172*u**2/7 - 276*u - 252 = 0.
-21, -1
Suppose 85*p**3 - 45*p**2 - 85*p + 45 = 0. What is p?
-1, 9/17, 1
Solve m**2 + 52*m = 0.
-52, 0
Factor 2*f**2/5 - 56*f/5 + 392/5.
2*(f - 14)**2/5
Solve -2*g**2/15 - 2*g - 88/15 = 0.
-11, -4
Factor -2*n**2/9 - 64*n/3 - 512.
-2*(n + 48)**2/9
Let l**2/4 + 8*l + 15 = 0. What is l?
-30, -2
Determine m so that -4*m**4 + 468*m**3 - 464*m**2 = 0.
0, 1, 116
Let 4*j**3 + 252*j**2 + 1404*j + 2052 = 0. Calculate j.
-57, -3
Factor 5*c**5 - 30*c**4 + 20*c**3 + 30*c**2 - 25*c.
5*c*(c - 5)*(c - 1)**2*(c + 1)
Determine c so that -5*c**3 - 2975*c**2 - 8890*c - 5920 = 0.
-592, -2, -1
Factor -3*b**3 - 228*b**2 - 1632*b.
-3*b*(b + 8)*(b + 68)
Factor t**5/3 + 3*t**4 + 14*t**3/3 - 2*t**2/3 - 5*t - 7/3.
(t - 1)*(t + 1)**3*(t + 7)/3
Factor o**2 - 43*o - 90.
(o - 45)*(o + 2)
Factor a**3/3 - 19*a**2/3 - 160*a/3 + 3328/3.
(a - 16)**2*(a + 13)/3
Solve -i**2/2 - 561*i/2 + 846 = 0.
-564, 3
Determine f, given that 2*f**2/15 + 52*f/15 - 112/15 = 0.
-28, 2
Factor p**2/3 + 28*p/3 + 9.
(p + 1)*(p + 27)/3
Factor -2*u**2/3 - 10*u/3 + 44.
-2*(u - 6)*(u + 11)/3
Find u such that -5*u**5 - 85*u**4 - 95*u**3 + 2165*u**2 - 4400*u + 2420 = 0.
-11, 1, 2
Determine x so that 5*x**2 - 10*x - 15 = 0.
-1, 3
Factor 3*p**3/7 - 9*p**2/7 - 72*p/7 - 12.
3*(p - 7)*(p + 2)**2/7
Let -4*m**3 + 52*m**2/5 + 104*m/5 + 32/5 = 0. Calculate m.
-1, -2/5, 4
Solve -4*u**4 + 3632*u**3 - 828088*u**2 + 1645296*u - 820836 = 0.
1, 453
Determine f so that 3*f**4 + 108*f**3 - 342*f**2 + 348*f - 117 = 0.
-39, 1
Find n such that -3*n**4 - 2364*n**3 - 465705*n**2 + 2364*n + 465708 = 0.
-394, -1, 1
Factor 22326*o**4/11 + 45384*o**3/11 + 23796*o**2/11 + 744*o/11 + 6/11.
6*(o + 1)**2*(61*o + 1)**2/11
Suppose -g**4/3 + 11*g**3/3 + 7*g**2/3 - 71*g/3 - 22 = 0. What is g?
-2, -1, 3, 11
Factor 22*x**2/3 - 38*x/3 - 4.
2*(x - 2)*(11*x + 3)/3
Factor -o**4 - 31*o**3 - 218*o**2 + 448*o + 1536.
-(o - 3)*(o + 2)*(o + 16)**2
Determine i so that 2*i**4/7 + 226*i**3/7 - 458*i**2/7 + 230*i/7 = 0.
-115, 0, 1
Factor j**5/5 - 4*j**4 + 132*j**3/5 - 64*j**2 + 256*j/5.
j*(j - 8)**2*(j - 2)**2/5
Let -3*d**2/7 + 216*d/7 + 165 = 0. Calculate d.
-5, 77
Factor -9*p**4/4 + 75*p**3/2 + 53*p**2 + 18*p.
-p*(p - 18)*(3*p + 2)**2/4
Find i such that 2*i**2/7 + 624*i/7 + 48672/7 = 0.
-156
Find u, given that 2*u**5/7 - 16*u**4/7 - 18*u**3/7 = 0.
-1, 0, 9
Factor s**2/8 + 9*s/8 + 1.
(s + 1)*(s + 8)/8
Let -y**2/3 - 10*y/3 + 13 = 0. Calculate y.
-13, 3
Let 55*f**2 - 150*f + 80 = 0. What is f?
8/11, 2
Factor -2*r**3 - 134*r**2 - 2176*r + 2312.
-2*(r - 1)*(r + 34)**2
Find r such that -5*r**3 + 1585*r**2 + 1620*r - 9540 = 0.
-3, 2, 318
Let k**5/8 + 25*k**4/4 + 253*k**3/4 - 821*k**2/2 - 4563*k/8 + 3645/4 = 0. Calculate k.
-27, -2, 1, 5
Factor 3*s**5 + 6*s**4 + 3*s**3.
3*s**3*(s + 1)**2
Determine p so that p**5/6 - p**4/6 - 2*p**3 + 14*p**2/3 - 8*p/3 = 0.
-4, 0, 1, 2
Determine b so that -3*b**3 - 1116*b**2 - 3309*b + 4428 = 0.
-369, -4, 1
Factor -2*q**3/3 - 196*q**2 - 390*q - 584/3.
-2*(q + 1)**2*(q + 292)/3
Factor -2*m**2/7 - 2398*m/7.
-2*m*(m + 1199)/7
Let 2*s**4/11 + 108*s**3/11 + 1458*s**2/11 = 0. Calculate s.
-27, 0
Determine u so that 13*u**2/6 - 7*u/2 + 4/3 = 0.
8/13, 1
Solve 4*o**2 + 1104*o + 76176 = 0 for o.
-138
Suppose -u**5/5 - 9*u**4/5 - 4*u**3 + 4*u**2 + 96*u/5 + 64/5 = 0. What is u?
-4, -2, -1, 2
Factor -3*n**2 - 30*n.
-3*n*(n + 10)
Solve 2*i**2 + 6*i - 20 = 0 for i.
-5, 2
Factor 18*v**4/13 + 12*v**3/13 - 118*v**2/13 - 40*v/13 + 200/13.
2*(v + 2)**2*(3*v - 5)**2/13
Determine p so that -175*p**5 + 120*p**4 + 1205*p**3 - 1890*p**2 + 860*p - 120 = 0.
-3, 2/7, 2/5, 1, 2
Solve 525*r**5 + 1320*r**4 - 2751*r**3 + 1422*r**2 - 216*r = 0 for r.
-4, 0, 2/7, 3/5
Factor 10*w**3/9 + 404*w**2/9 + 160*w/9.
2*w*(w + 40)*(5*w + 2)/9
Factor 2*k**4/11 + 10*k**3/11 + 4*k**2/11 - 16*k/11.
2*k*(k - 1)*(k + 2)*(k + 4)/11
Factor w**4/3 + 2*w**3 - 28*w**2/3 - 40*w + 96.
(w - 4)*(w - 2)*(w + 6)**2/3
Determine q so that -2*q**2/7 + 10*q/7 + 4 = 0.
-2, 7
Determine b, given that 36*b**4 - 420*b**3 + 1348*b**2 - 764*b + 120 = 0.
1/3, 5, 6
Let -5*o**3 - 40*o**2 - 100*o - 80 = 0. What is o?
-4, -2
Determine i, given that -21*i**4 + 645*i**3 - 444*i**2 - 180*i = 0.
-2/7, 0, 1, 30
Factor 5*y**2 - 475*y - 1980.
5*(y - 99)*(y + 4)
Factor 2*y**3 + 80*y**2 + 800*y.
2*y*(y + 20)**2
Let -4*a**4 - 240*a**3 - 680*a**2 + 240*a + 684 = 0. Calculate a.
-57, -3, -1, 1
Find r, given that 10*r**2 - 2*r = 0.
0, 1/5
Factor 2*k**3 - 6*k - 4.
2*(k - 2)*(k + 1)**2
Solve -3*i**5 - 144*i**4 + 786*i**3 - 504*i**2 - 1431*i = 0 for i.
-53, -1, 0, 3
Determine d, given that 3*d**2 + 153*d - 486 = 0.
-54, 3
Factor 2*y**4/9 - 4*y**3/3 - 8*y**2 - 80*y/9.
2*y*(y - 10)*(y + 2)**2/9
Find g such that -2*g**2/13 + 50*g/13 = 0.
0, 25
Factor -t**3 + 20*t**2 - 117*t + 198.
-(t - 11)*(t - 6)*(t - 3)
Solve -w**5 - 10*w**4 + 12*w**3 + 10*w**2 - 11*w = 0 for w.
-11, -1, 0, 1
Find q such that 5*q**2 - 675*q + 1330 = 0.
2, 133
Find o such that -2*o**3/11 + 16*o**2/11 + 6*o = 0.
-3, 0, 11
Determine p so that -4*p**3/5 + 204*p**2/5 + 648*p/5 = 0.
-3, 0, 54
Factor 4*i**5 + 8*i**4 - 16*i**3 - 8*i**2 + 12*i.
4*i*(i - 1)**2*(i + 1)*(i + 3)
Factor i**2 - 15*i + 26.
(i - 13)*(i - 2)
Let -28*z**3/3 + 17732*z**2/3 + 12688*z/3 - 5072/3 = 0. What is z?
-1, 2/7, 634
Find c such that -128*c**4 + 608*c**3 + 926*c**2 + 202*c + 12 = 0.
-1, -1/8, 6
Factor 2*c**4/9 + 14*c**3/9 + 2*c**2/9 - 6*c + 4.
2*(c - 1)**2*(c + 3)*(c + 6)/9
Determine c so that c**4/6 + c**3/3 - 13*c**2/6 - 19*c/3 - 4 = 0.
-3, -2, -1, 4
Suppose -4*h**2 - 80*h - 384 = 0. What is h?
-12, -8
Factor -3*c**3/4 - 33*c**2/4 - 21*c/4 + 441/4.
-3*(c - 3)*(c + 7)**2/4
Factor -x**3/3 - 346*x**2/3 + 1396*x/3 - 1400/3.
-(x - 2)**2*(x + 350)/3
Factor -3*j**2 - 4092*j - 1395372.
-3*(j + 682)**2
Factor -5*a**3 + 1195*a**2 + 5*a - 1195.
-5*(a - 239)*(a - 1)*(a + 1)
Let 4*m**4 + 20*m**3 + 32*m**2 + 16*m = 0. What is m?
-2, -1, 0
Factor -2*a**3/7 - 12*a**2/7 - 6*a/7 + 20/7.
-2*(a - 1)*(a + 2)*(a + 5)/7
Solve -22*z**4/13 + 14*z**3/13 + 30*z**2/13 - 14*z/13 - 8/13 = 0.
-1, -4/11, 1
Suppose -2*m**2/19 - 4*m - 330/19 = 0. Calculate m.
-33, -5
Solve -4*s**2 - 23*s/3 + 2/3 = 0 for s.
-2, 1/12
Suppose -2*o**4 + 224*o**3 - 1086*o**2 + 1720*o - 856 = 0. What is o?
1, 2, 107
Factor -u**4/5 + 28*u**3/5 - 253*u**2/5 + 726*u/5.
-u*(u - 11)**2*(u - 6)/5
Find f such that -f**2 + 47*f - 462 = 0.
14, 33
Factor -3*k**3/2 + 9*k/2 - 3.
-3*(k - 1)**2*(k + 2)/2
Find i such that i**3/5 + 34*i**2/5 + 13*i + 32/5 = 0.
-32, -1
Factor -5*t**4/6 - 5*t**3 + 15*t**2/2 + 35*t/3.
-5*t*(t - 2)*(t + 1)*(t + 7)/6
Determine i, given that 2*i**2/7 + 52*i/7 = 0.
-26, 0
Find u such that u**4/7 - 17*u**3/7 + 40*u**2/7 + 300*u/7 = 0.
-3, 0, 10
Factor 3*w**3/8 + 45*w**2/8 - 3*w/2 - 45/2.
3*(w - 2)*(w + 2)*(w + 15)/8
Suppose 2*l**4/3 - 30*l**3 - 92*l**2/3 = 0. What is l?
-1, 0, 46
Let -b**3/3 - 3*b**2 + 64*b/3 - 28 = 0. What is b?
-14, 2, 3
Let 5*q**2/6 + 5*q/3 = 0. Calculate q.
-2, 0
What is b in 5*b**4/8 + 11*b**3/4 - 17*b**2/8 - 5*b/4 = 0?
-5, -2/5, 0, 1
Let 3*r**4 - 48*r**3 + 207*r**2 - 282*r