)*(4*i + 1)/2
Let 2*s**4 + 15*s**3 + 39*s**2 + 40*s + 12 = 0. Calculate s.
-3, -2, -1/2
Find h, given that -h**2/5 + 4*h/5 = 0.
0, 4
Factor k**2 - 186*k + 8649.
(k - 93)**2
What is o in -4*o**4 - 260*o**3 - 4352*o**2 - 4096*o = 0?
-32, -1, 0
Determine u so that -2*u**3 - 508*u**2 + 510*u = 0.
-255, 0, 1
Factor -d**3 + 29*d**2 - 183*d + 315.
-(d - 21)*(d - 5)*(d - 3)
Factor -5*w**2 + 395*w - 390.
-5*(w - 78)*(w - 1)
Factor -14*d**2/13 - 18*d/13 - 4/13.
-2*(d + 1)*(7*d + 2)/13
Factor l**2/6 + 31*l/3 + 385/6.
(l + 7)*(l + 55)/6
What is y in -3*y**5 = 0?
0
Let 6*h**4/7 - 2*h**3/7 - 88*h**2/7 + 88*h/7 + 96/7 = 0. Calculate h.
-4, -2/3, 2, 3
Factor -g**4 - 24*g**3 - 149*g**2 - 354*g - 288.
-(g + 2)*(g + 3)**2*(g + 16)
Factor 2*x**5/5 - 4*x**4/5 - 6*x**3 + 72*x**2/5.
2*x**2*(x - 3)**2*(x + 4)/5
Solve -b**4/2 - 7*b**3/2 + 6*b**2 + 14*b - 16 = 0 for b.
-8, -2, 1, 2
Factor -t**5/4 + t**4/2 - t**3/4.
-t**3*(t - 1)**2/4
Suppose -5*m**3 + 90*m**2 - 75*m - 170 = 0. Calculate m.
-1, 2, 17
Find h such that -6*h**4/5 + 32*h**3/5 + 24*h**2/5 - 192*h/5 - 128/5 = 0.
-2, -2/3, 4
Factor 5*w**3/9 + 54*w**2 - 131*w/3 - 98/9.
(w - 1)*(w + 98)*(5*w + 1)/9
Factor -5*o**3 - 1210*o**2 + 4905*o - 3690.
-5*(o - 3)*(o - 1)*(o + 246)
Find y, given that 4*y**3/3 - 28*y**2/3 - 80*y = 0.
-5, 0, 12
Factor 2*n**2/9 + 16*n/9 + 8/3.
2*(n + 2)*(n + 6)/9
What is f in -20*f**4 + 655*f**3 - 4435*f**2 - 6430*f - 1320 = 0?
-1, -1/4, 12, 22
Find a such that a**5/3 + 5*a**4 + 19*a**3 + 73*a**2/3 + 10*a = 0.
-10, -3, -1, 0
Find z, given that 3*z**2/5 - 30*z + 375 = 0.
25
Solve v**3/7 - 21*v**2 + 41*v + 435/7 = 0 for v.
-1, 3, 145
Solve -33*l**3/7 + 204*l**2/7 - 333*l/7 + 54/7 = 0.
2/11, 3
Suppose -45*i**5 - 170*i**4 - 230*i**3 - 120*i**2 - 5*i + 10 = 0. What is i?
-1, 2/9
Solve q**3 + 33*q**2 - q - 33 = 0.
-33, -1, 1
What is x in -162*x**3/7 + 126*x**2 - 368*x/7 + 40/7 = 0?
2/9, 5
Let 6*h**4 + 4*h**3 - 8*h**2 - 4*h + 2 = 0. Calculate h.
-1, 1/3, 1
Find l, given that -2*l**5/17 - 20*l**4/17 + 24*l**3 - 1084*l**2/17 + 1034*l/17 - 336/17 = 0.
-21, 1, 8
Let 6*f**2 - 50*f + 56 = 0. Calculate f.
4/3, 7
Suppose -2*r**5/9 - 20*r**4/3 - 110*r**3/9 + 20*r**2/3 + 112*r/9 = 0. Calculate r.
-28, -2, -1, 0, 1
What is f in -5*f**4 + 255*f**3 = 0?
0, 51
Factor -o**5/6 - 32*o**4/3 - 122*o**3/3 - 40*o**2.
-o**2*(o + 2)**2*(o + 60)/6
Let 2*d**5/3 + 8*d**4/3 - 10*d**3/3 = 0. Calculate d.
-5, 0, 1
Factor -2*w**3 - 122*w**2 - 1920*w - 1800.
-2*(w + 1)*(w + 30)**2
Find u such that -22*u**4/9 + 58*u**3/3 - 134*u**2/3 + 226*u/9 + 8/3 = 0.
-1/11, 1, 3, 4
Determine b so that -2*b**5 + 14*b**4 - 36*b**3 + 44*b**2 - 26*b + 6 = 0.
1, 3
Factor k**2 + 1170*k + 1169.
(k + 1)*(k + 1169)
Factor 2*z**3/13 + 298*z**2/13 + 590*z/13 + 294/13.
2*(z + 1)**2*(z + 147)/13
Suppose -5*n**4 - 140*n**3 - 1335*n**2 - 4700*n - 3500 = 0. What is n?
-10, -7, -1
Find q, given that q**3/8 + 5*q**2/4 - 13*q/2 + 7 = 0.
-14, 2
Determine r, given that -2*r**2/13 - 536*r/13 - 1590/13 = 0.
-265, -3
Let -2*d**5 + 4*d**4 + 36*d**3 + 64*d**2 + 46*d + 12 = 0. Calculate d.
-1, 6
Suppose -18*u**4 + 204*u**3 - 506*u**2 - 408*u - 72 = 0. Calculate u.
-1/3, 6
Determine u, given that u**5/9 - 11*u**4/9 + 4*u**3 - 16*u**2/9 - 64*u/9 = 0.
-1, 0, 4
Let 2*k**2 - 240*k - 242 = 0. Calculate k.
-1, 121
Solve 4*a**4 - 988*a**3 + 4872*a**2 - 7760*a + 3872 = 0.
1, 2, 242
Suppose -8*q**3/11 - 1790*q**2/11 + 2248*q/11 - 450/11 = 0. What is q?
-225, 1/4, 1
Solve 2*a**2/5 + 212*a/5 + 5618/5 = 0.
-53
Factor 4*b**3/7 + 12*b**2 - 1908*b/7 + 260.
4*(b - 13)*(b - 1)*(b + 35)/7
Find l such that -3*l**3/5 - 24*l**2/5 - 57*l/5 - 36/5 = 0.
-4, -3, -1
Let 15*l**4 - 137*l**3/2 + 159*l**2/2 - 27*l = 0. What is l?
0, 2/3, 9/10, 3
Factor -14*p**3 - 2328*p**2 + 1674*p + 668.
-2*(p - 1)*(p + 167)*(7*p + 2)
Let 15*n**5/2 - 295*n**4 + 85*n**3 + 490*n**2 - 185*n/2 - 195 = 0. What is n?
-1, -2/3, 1, 39
Let j**4/3 + 31*j**3 + 486*j**2 + 2772*j + 5400 = 0. Calculate j.
-75, -6
Factor 2*n**5 + 48*n**4 + 172*n**3 + 248*n**2 + 162*n + 40.
2*(n + 1)**4*(n + 20)
Determine k so that 30*k**4 - 145*k**3 - 25*k**2 = 0.
-1/6, 0, 5
Suppose 3*c**3 - 207*c**2 + 3465*c - 17061 = 0. Calculate c.
11, 47
Factor -4*r**2 - 64*r.
-4*r*(r + 16)
Factor 12*x**4 - 27*x**3 + 6*x**2.
3*x**2*(x - 2)*(4*x - 1)
What is y in -y**2/4 + 18*y - 35 = 0?
2, 70
Determine y, given that 2*y**5/11 + 140*y**4/11 - 288*y**3/11 + 4*y**2/11 + 26*y - 144/11 = 0.
-72, -1, 1
Suppose 3*b**3 + 24*b**2 - 93*b + 66 = 0. What is b?
-11, 1, 2
Determine x, given that 5*x**2 + 2500*x - 7545 = 0.
-503, 3
Suppose 4*t**4/7 - 12*t**2/7 + 8*t/7 = 0. Calculate t.
-2, 0, 1
Suppose 2*w**2/3 + 14*w + 40/3 = 0. Calculate w.
-20, -1
Determine u, given that u**3 - 101*u**2 + 100*u = 0.
0, 1, 100
Factor -3*w**2/4 + 6813*w/4 + 1704.
-3*(w - 2272)*(w + 1)/4
Suppose 38*m**2 - 39*m + 1 = 0. Calculate m.
1/38, 1
Let r**2 - 315*r - 316 = 0. What is r?
-1, 316
Find o such that -25*o**5 - 975*o**4 + 2029*o**3 - 869*o**2 - 324*o + 164 = 0.
-41, -2/5, 2/5, 1
Find i such that 3*i**3/4 - 9*i**2/2 + 9*i/4 + 15/2 = 0.
-1, 2, 5
What is q in -3*q**5 + 96*q**4 + 528*q**3 + 978*q**2 + 771*q + 222 = 0?
-2, -1, 37
Factor 5*u**4 + 145*u**3 + 1440*u**2 + 5300*u + 4000.
5*(u + 1)*(u + 8)*(u + 10)**2
Factor -24*r**2 + 207*r/2 - 30.
-3*(r - 4)*(16*r - 5)/2
Determine i, given that i**4/5 + 16*i**3/5 - 244*i**2/5 + 416*i/5 = 0.
-26, 0, 2, 8
Suppose -2*a**2 - 90*a - 172 = 0. What is a?
-43, -2
Factor 3*a**2/5 + 132*a/5 - 147.
3*(a - 5)*(a + 49)/5
Suppose 5*a**3 - 150*a**2 - 8640*a - 79360 = 0. What is a?
-16, 62
Determine k so that 12*k**5 - 152*k**4 + 516*k**3 - 568*k**2 + 192*k = 0.
0, 2/3, 1, 3, 8
Factor -r**2/4 + 581*r/4.
-r*(r - 581)/4
Factor k**2/3 - 2516*k/3 + 2515/3.
(k - 2515)*(k - 1)/3
Factor -3*j**2 + 183*j - 1650.
-3*(j - 50)*(j - 11)
Let d**4 - 46*d**3 + 89*d**2 - 44*d = 0. Calculate d.
0, 1, 44
Determine n, given that 2*n**3/13 + 2*n**2/13 - 8*n/13 - 8/13 = 0.
-2, -1, 2
Determine d so that -3*d**2/4 - 99*d/2 - 915/4 = 0.
-61, -5
Factor 5*t**3 + 155*t**2 + 430*t + 280.
5*(t + 1)*(t + 2)*(t + 28)
Factor -y**4/9 + 7*y**3/9 + 26*y**2/9 - 8*y.
-y*(y - 9)*(y - 2)*(y + 4)/9
Factor d**3 - 15*d**2.
d**2*(d - 15)
Factor n**5/7 + n**4/7 - 11*n**3/7 - 29*n**2/7 - 26*n/7 - 8/7.
(n - 4)*(n + 1)**3*(n + 2)/7
Let -256*h**4/3 - 1088*h**3/3 - 524*h**2 - 940*h/3 - 200/3 = 0. What is h?
-2, -1, -5/8
Factor -r**2 + 31*r - 58.
-(r - 29)*(r - 2)
Factor -b**2/4 - 35*b/2 + 71/4.
-(b - 1)*(b + 71)/4
Let 6*z**5 + 316*z**4 - 434*z**3 - 104*z**2 + 216*z = 0. What is z?
-54, -2/3, 0, 1
Find x such that 2*x**2/7 - 650*x/7 + 276 = 0.
3, 322
Factor -63*x**4 - 138*x**3 - 87*x**2 - 12*x.
-3*x*(x + 1)**2*(21*x + 4)
Factor -107*i**3/3 - 218*i**2/3 - 115*i/3 - 4/3.
-(i + 1)**2*(107*i + 4)/3
Determine c so that -4*c**4 + 364*c**3 - 11160*c**2 + 118800*c - 108000 = 0.
1, 30
Factor b**3/4 + 575*b**2/4 - b/4 - 575/4.
(b - 1)*(b + 1)*(b + 575)/4
Let 4*q**3 + 28*q**2 + 60*q + 36 = 0. Calculate q.
-3, -1
Factor 2*a**4/7 - 1060*a**3/7.
2*a**3*(a - 530)/7
Factor k**3/4 - 3*k**2/4 + k/2.
k*(k - 2)*(k - 1)/4
Factor q**4 - 77*q**3 + 1593*q**2 - 4255*q + 2738.
(q - 37)**2*(q - 2)*(q - 1)
Determine c so that -2*c**3 + 52*c**2 - 338*c = 0.
0, 13
Factor -y**4/4 - 7*y**3 + 229*y**2/4 - 137*y + 105.
-(y - 3)*(y - 2)**2*(y + 35)/4
Factor 5*g**2 - 300*g + 295.
5*(g - 59)*(g - 1)
Find s, given that -4*s**5/5 + 1224*s**4/5 - 96056*s**3/5 + 370864*s**2/5 - 458436*s/5 + 182408/5 = 0.
1, 2, 151
Let -3*c**5/5 + 60*c**4 - 7491*c**3/5 - 894*c**2/5 + 4380*c + 3000 = 0. What is c?
-1, 2, 50
Factor 4*y**4 + 28*y**3 + 60*y**2 + 36*y.
4*y*(y + 1)*(y + 3)**2
What is p in 3*p**2/5 + 25554*p/5 + 54417243/5 = 0?
-4259
Let 2*k**5/19 - 40*k**4/19 + 240*k**3/19 - 140*k**2/19 - 2450*k/19 + 4116/19 = 0. What is k?
-3, 2, 7
Find a, given that -15138*a**4/5 + 348*a**3/5 + 15136*a**2/5 - 348*a/5 + 2/5 = 0.
-1, 1/87, 1
Factor 98*h**4/9 + 28*h**3/9 + 2*h**2/9.
2*h**2*(7*h + 1)**2/9
Factor -3*u**3/7 - 1014*u**2/7 - 9915*u/7 - 24600/7.
-3*(u + 5)**2*(u + 328)/7
Let g**2 + 31*g/5 - 36/5 = 0. Calculate g.
-36/5, 1
Let -2*z**4/9 - 28*z**3/9 + 32*z**2/9 + 28*z/9 - 10/3 = 0. What is z?
-15, -1, 1
Solve -11*s**5/3 - 74*s**4 - 425*s**3/3 + 50*s**2 + 436*s/3 + 24 = 0.
-18, -2, -1, -2/11, 1
Factor -f**5 - 4*f**4 + 15*f**3 + 14*f**2 - 28*f - 24.
-(f - 2)**2*(f + 1