*s - 27.
-(50*s + 3)**3
Find c, given that -2*c**5/3 + 1726*c**4/3 - 373244*c**3/3 + 369796*c**2/3 + 373246*c/3 - 371522/3 = 0.
-1, 1, 431
Factor -5*o**3 - 40*o**2 + 55*o + 90.
-5*(o - 2)*(o + 1)*(o + 9)
Factor 21*y**3/5 + 108*y**2/5 + 99*y/5 + 12/5.
3*(y + 1)*(y + 4)*(7*y + 1)/5
What is u in -5*u**5/2 - 73*u**4/2 + 235*u**3/2 + 533*u**2/2 + 47*u - 68 = 0?
-17, -1, 2/5, 4
Factor 2*y**3/13 - 32*y**2/13 + 106*y/13 + 140/13.
2*(y - 10)*(y - 7)*(y + 1)/13
Determine q, given that 2*q**5 - 26*q**4 - 56*q**3 + 920*q**2 + 2400*q = 0.
-4, -3, 0, 10
Factor 14*w**3 - 122*w**2 + 216*w + 72.
2*(w - 6)*(w - 3)*(7*w + 2)
Factor 3*f**2 + 1368*f + 155952.
3*(f + 228)**2
Let 4*t**2 - 32*t - 132 = 0. Calculate t.
-3, 11
Factor -2*j**5 - 22*j**4 - 38*j**3 - 18*j**2.
-2*j**2*(j + 1)**2*(j + 9)
Find v such that 2*v**5/17 + 6*v**4/17 - 8*v**3/17 = 0.
-4, 0, 1
Factor -31*s**3 - 122*s**2 + 163*s - 10.
-(s - 1)*(s + 5)*(31*s - 2)
Factor 2*l**3/5 + 54*l**2/5 + 20*l.
2*l*(l + 2)*(l + 25)/5
Factor o**2/3 - 19*o/3 - 20/3.
(o - 20)*(o + 1)/3
Factor 2*j**4/9 + 2*j**3/9 - 10*j**2/9 + 2*j/3.
2*j*(j - 1)**2*(j + 3)/9
Factor 3*m**4/5 + 192*m**3/5 + 2016*m**2/5 + 1536*m + 9984/5.
3*(m + 4)**3*(m + 52)/5
Factor -4*w**4 - 236*w**3 - 1304*w**2 - 1696*w.
-4*w*(w + 2)*(w + 4)*(w + 53)
Determine a so that -4*a**2 + 100*a = 0.
0, 25
Find b, given that 5*b**5 - 50*b**4 + 180*b**3 - 270*b**2 + 135*b = 0.
0, 1, 3
Determine s, given that 30*s**4/11 + 2666*s**3/11 + 60364*s**2/11 + 4544*s - 704 = 0.
-44, -1, 2/15
Find h, given that 7*h**3/10 - 52*h**2/5 - 897*h/10 - 63/5 = 0.
-6, -1/7, 21
Determine r so that -2*r**3/3 - 46*r**2 + 2552*r/3 + 896 = 0.
-84, -1, 16
Factor -u**3/7 - 2*u**2 - 13*u/7.
-u*(u + 1)*(u + 13)/7
Find u such that 4*u**2 - 156*u + 296 = 0.
2, 37
Suppose 3*d**2 + 2514*d - 5040 = 0. What is d?
-840, 2
Suppose -p**3/2 + 511*p**2/2 + p/2 - 511/2 = 0. Calculate p.
-1, 1, 511
Determine z, given that -11*z**2 + 2*z = 0.
0, 2/11
Factor -2*t**4 + 8*t**3 + 282*t**2 + 792*t - 1080.
-2*(t - 15)*(t - 1)*(t + 6)**2
Solve 25*x**2 + 3895*x - 780 = 0 for x.
-156, 1/5
Determine w, given that w**2/6 + 79*w/6 + 13 = 0.
-78, -1
Let b**3/3 + 4*b**2/3 + 5*b/3 + 2/3 = 0. What is b?
-2, -1
Find k, given that -k**3 + 20*k**2 + 21*k = 0.
-1, 0, 21
Factor -w**3 - 37*w**2 + 206*w - 168.
-(w - 4)*(w - 1)*(w + 42)
Find s such that -s**5/3 - 11*s**4/3 - 15*s**3 - 85*s**2/3 - 74*s/3 - 8 = 0.
-4, -3, -2, -1
Factor 5*h**5 + 35*h**4 - 180*h**2.
5*h**2*(h - 2)*(h + 3)*(h + 6)
Find i such that 35*i**4 + 340*i**3 - 555*i**2 - 640*i + 220 = 0.
-11, -1, 2/7, 2
Let 5*v**3 + 75*v**2 + 315*v + 405 = 0. Calculate v.
-9, -3
Factor -3*u**4 - 51*u**3 - 306*u**2 - 756*u - 648.
-3*(u + 2)*(u + 3)*(u + 6)**2
What is x in x**3 + 44*x**2 + 125*x + 82 = 0?
-41, -2, -1
Let 3*g**2 + 288*g + 6912 = 0. What is g?
-48
Let 5*j**2 + 100*j + 95 = 0. Calculate j.
-19, -1
Factor 3*r**4 - 270*r**3 + 6336*r**2 - 11616*r.
3*r*(r - 44)**2*(r - 2)
Suppose -i**4 + 9*i**3 + i**2 - 9*i = 0. What is i?
-1, 0, 1, 9
What is x in 2*x**2/13 + 1576*x/13 + 310472/13 = 0?
-394
Factor -32*r**3/9 - 17072*r**2/9 + 8542*r/9 - 356/3.
-2*(r + 534)*(4*r - 1)**2/9
Let -8*f**3/5 + 1242*f**2/5 + 2202*f/5 - 628/5 = 0. What is f?
-2, 1/4, 157
Solve -3*d**2/4 + 74*d + 99/4 = 0.
-1/3, 99
Solve n**4 - 79*n**3 + 1045*n**2 + 21375*n + 20250 = 0.
-10, -1, 45
Solve -33*y**3 - 3*y**2 + 30*y = 0 for y.
-1, 0, 10/11
Determine h so that -2*h**4/5 + 52*h**3/5 - 408*h**2/5 + 748*h/5 + 242 = 0.
-1, 5, 11
Factor -5*y**3 + 480*y**2 + 515*y - 2910.
-5*(y - 97)*(y - 2)*(y + 3)
Find v such that -4*v**4 + 57*v**3 - 254*v**2 + 348*v - 72 = 0.
1/4, 2, 6
Let s**2 + 1003*s - 2010 = 0. What is s?
-1005, 2
Let 2*g**2/13 - 36*g/13 + 34/13 = 0. What is g?
1, 17
Find n such that 2*n**2 - 148*n + 2738 = 0.
37
Factor 4*t**3 + 292*t**2 - 2240*t.
4*t*(t - 7)*(t + 80)
Factor -x**4/5 - 14*x**3/5 - 32*x**2/5 + 128*x/5.
-x*(x - 2)*(x + 8)**2/5
Suppose i**3 + 8*i**2 + 17*i + 10 = 0. What is i?
-5, -2, -1
Solve -3*a**5 - 60*a**4 - 243*a**3 + 294*a**2 + 2496*a + 2016 = 0 for a.
-14, -4, -1, 3
Solve -21*y**5/5 + 2*y**4/5 + 63*y**3/5 + 36*y**2/5 - 4*y/5 = 0 for y.
-1, 0, 2/21, 2
Factor -2*i**2/11 + 130*i/11 + 268/11.
-2*(i - 67)*(i + 2)/11
Find o, given that -3*o**5/7 + 24*o**4/7 + 69*o**3/7 - 90*o**2/7 = 0.
-3, 0, 1, 10
Let -4*q**3 + 12*q**2 + 52*q - 60 = 0. What is q?
-3, 1, 5
Solve 2*w**5/9 - 2*w**4/3 - 34*w**3/9 - 2*w**2 + 32*w/9 + 8/3 = 0.
-2, -1, 1, 6
Factor 2*a**2/7 - 24*a/7 - 8.
2*(a - 14)*(a + 2)/7
Factor -3*q**3/4 - 309*q**2/4 + 78*q.
-3*q*(q - 1)*(q + 104)/4
Find p, given that -p**4/8 - 9*p**3/8 - 5*p**2/2 - 3*p/2 = 0.
-6, -2, -1, 0
Suppose 2*y**5/3 + 1808*y**4/3 + 611084*y**3/3 + 91103272*y**2/3 + 4936169026*y/3 - 21241902728/3 = 0. Calculate y.
-227, 4
Suppose -2*x**3 + 22*x**2 + 50*x + 26 = 0. Calculate x.
-1, 13
Factor 4*b**2/7 - 319*b/7 + 78.
(b - 78)*(4*b - 7)/7
Solve 2*x**2/23 + 18*x/23 + 36/23 = 0.
-6, -3
Suppose -2*f**2/9 - 116*f/9 - 1682/9 = 0. What is f?
-29
Suppose n**4/2 - 10*n**3/3 + 7*n**2/2 + 4*n - 10/3 = 0. Calculate n.
-1, 2/3, 2, 5
Suppose 2*a**3/7 - 50*a**2/7 + 374*a/7 - 726/7 = 0. Calculate a.
3, 11
Suppose b**5/4 - 283*b**4/2 + 39475*b**3/2 + 80513*b**2 + 404985*b/4 + 81225/2 = 0. Calculate b.
-2, -1, 285
Determine s so that 6*s**3 - 237*s**2 - 1203*s + 660 = 0.
-5, 1/2, 44
Factor z**3/6 - 2*z**2/3 + 5*z/6 - 1/3.
(z - 2)*(z - 1)**2/6
Suppose n**4/4 - 14*n**3 + 94*n**2 + 2856*n + 10404 = 0. What is n?
-6, 34
Solve 5*v**5 - 40*v**4 + 95*v**3 - 40*v**2 - 100*v + 80 = 0 for v.
-1, 1, 2, 4
Solve -u**3/4 - 25*u**2/4 - 38*u - 32 = 0 for u.
-16, -8, -1
Suppose 3*j**3 + 135*j**2 - 3*j - 135 = 0. Calculate j.
-45, -1, 1
Factor -27*j**4 - 372*j**3 + 84*j**2.
-3*j**2*(j + 14)*(9*j - 2)
Let 3*g**3 - 1068*g**2 - 2145*g - 1074 = 0. Calculate g.
-1, 358
Suppose -4*w**5 - 20*w**4 + 72*w**3 + 512*w**2 + 640*w = 0. What is w?
-4, -2, 0, 5
Solve 83*p**2/3 - 247*p/3 - 2 = 0 for p.
-2/83, 3
Factor -3*v**3/2 + 3*v**2 + 6*v - 12.
-3*(v - 2)**2*(v + 2)/2
Factor 4*c**4 + 164*c**3 - 1300*c**2 + 2092*c - 960.
4*(c - 5)*(c - 1)**2*(c + 48)
Factor 2*b**3/15 + 146*b**2/5 - 1824*b/5 + 5544/5.
2*(b - 6)**2*(b + 231)/15
Let z**5 - 4*z**4/3 - 35*z**3/3 + 52*z/3 - 16/3 = 0. What is z?
-2, 1/3, 1, 4
Factor -8*i**3/21 + 50*i**2/21 - 16*i/21 - 32/3.
-2*(i - 4)**2*(4*i + 7)/21
Let -4*m**2 + 8*m + 252 = 0. What is m?
-7, 9
Determine y so that -2*y**5 - 19*y**4 - 66*y**3 - 104*y**2 - 76*y - 21 = 0.
-7/2, -3, -1
Factor 13*j**2 + 203*j/2 - 20.
(j + 8)*(26*j - 5)/2
Determine p so that p**3 - 54*p**2 - 756*p - 2376 = 0.
-6, 66
Factor -2*u**2/5 - 14*u/5.
-2*u*(u + 7)/5
Factor -2*p**3/5 + 6*p**2/5 + 8*p/5.
-2*p*(p - 4)*(p + 1)/5
What is r in 25*r**4 - 2215*r**3 - 990*r**2 + 8860*r + 3560 = 0?
-2, -2/5, 2, 89
Let -4*i**2 + 104*i = 0. What is i?
0, 26
Suppose -m**4/2 + 11*m**3/2 + 8*m**2 - 22*m - 24 = 0. Calculate m.
-2, -1, 2, 12
Solve 3*r**4 - 36*r**3 - 177*r**2 - 234*r - 96 = 0.
-2, -1, 16
Factor -3*l**3/4 - 363*l**2/2 - 360*l.
-3*l*(l + 2)*(l + 240)/4
Factor -4*u**3/3 + 32*u**2/3 - 64*u/3.
-4*u*(u - 4)**2/3
Factor 2*s**3/5 - 2*s**2 - 2*s/5 + 2.
2*(s - 5)*(s - 1)*(s + 1)/5
Find g such that 15*g**5 - 355*g**4 - 3495*g**3 + 2595*g**2 + 1240*g = 0.
-8, -1/3, 0, 1, 31
Factor 2*y**4/5 - 6*y**3/5 - 26*y**2/5 + 102*y/5 - 72/5.
2*(y - 3)**2*(y - 1)*(y + 4)/5
Factor 4*j**2 - 24*j - 540.
4*(j - 15)*(j + 9)
Factor -2*u**3/11 + 1354*u**2/11 - 2700*u/11.
-2*u*(u - 675)*(u - 2)/11
Factor 4*j**3 + j**2/2 - 196*j - 49/2.
(j - 7)*(j + 7)*(8*j + 1)/2
Factor q**4/2 + 55*q**3/2 - 247*q**2/2 - 655*q/2 - 177.
(q - 6)*(q + 1)**2*(q + 59)/2
Solve 3*q**3 + 3*q**2 = 0 for q.
-1, 0
Factor -23*j**2/2 - 12*j.
-j*(23*j + 24)/2
Factor -5*g**4 - 575*g**3 - 3330*g**2 - 6580*g - 4360.
-5*(g + 2)**3*(g + 109)
Factor 7*f**3/4 - 183*f**2/2 + 201*f - 50.
(f - 50)*(f - 2)*(7*f - 2)/4
Suppose -12*z**4/19 + 86*z**3/19 - 146*z**2/19 + 82*z/19 - 10/19 = 0. What is z?
1/6, 1, 5
Factor 5*t**3 - 3115*t**2 + 486715*t - 483605.
5*(t - 311)**2*(t - 1)
Determine v so that -2*v**5/9 + 28*v**4/9 + 62*v**3/9 + 32*v**2/9 = 0.
-1, 0, 16
Factor -u**3 - 28*u**2 - 75*u.
-u*(u + 3)*(u + 25)
Find w, given that -27*w**4 - 1182*w**3 + 2748*w**2 - 552*w = 0.
-46, 0, 2/9, 2
Factor -3*i**2 - 81*i.
-3*i*(i + 27)
Suppose 2*v**2/7 + 34*v/7 + 60/7 = 0. Calculate v.
-15, -2
Suppose