2*s**2 + 54*s - 320.
2*(s - 5)*(s + 32)
Factor -u**4/3 - 13*u**3/3 + 34*u**2 - 220*u/3 + 152/3.
-(u - 2)**3*(u + 19)/3
Factor -3*z**3/5 - 51*z**2/5 - 252*z/5 - 324/5.
-3*(z + 2)*(z + 6)*(z + 9)/5
Solve -8*k**4 - 34*k**3 + 34*k + 8 = 0 for k.
-4, -1, -1/4, 1
Determine l so that 50*l**3/9 - 8930*l**2/9 - 3578*l/9 - 358/9 = 0.
-1/5, 179
Find u, given that 3*u**5/2 + 387*u**4/2 + 12669*u**3/2 + 11901*u**2/2 - 6336*u - 6144 = 0.
-64, -1, 1
Solve 2*p**3/7 + 18*p**2/7 - 248*p/7 + 408/7 = 0.
-17, 2, 6
Suppose -24*l**2/7 - 40*l/7 - 50/21 = 0. Calculate l.
-5/6
Solve -10*k**5 - 20*k**4 + 55*k**3/2 + 155*k**2/2 + 50*k + 10 = 0 for k.
-2, -1, -1/2, 2
Determine s, given that 4*s**4 + 36*s**3 + 92*s**2 + 12*s - 144 = 0.
-4, -3, 1
Determine v so that -v**3/5 - 154*v**2/5 - 6624*v/5 - 10368 = 0.
-72, -10
Factor 2*x**5/11 + 2*x**4 + 86*x**3/11 + 146*x**2/11 + 112*x/11 + 32/11.
2*(x + 1)**3*(x + 4)**2/11
Factor -5*v**3 - 380*v**2 + 4845*v + 5220.
-5*(v - 12)*(v + 1)*(v + 87)
What is k in -5*k**3 + 545*k**2 - 3135*k + 4635 = 0?
3, 103
Factor q**4 + 10*q**3 + 29*q**2 + 8*q - 48.
(q - 1)*(q + 3)*(q + 4)**2
Factor -t**2 - 7570*t - 14326225.
-(t + 3785)**2
Factor x**3 - 5*x**2 + 6*x.
x*(x - 3)*(x - 2)
Factor -g**2 - 156*g - 608.
-(g + 4)*(g + 152)
Suppose 6*s**5/5 + 118*s**4/5 - 166*s**3/5 + 42*s**2/5 = 0. Calculate s.
-21, 0, 1/3, 1
Determine w so that 3*w**2 - 60*w - 783 = 0.
-9, 29
Let 4*p**3/7 + 60*p**2/7 - 288*p/7 - 5184/7 = 0. What is p?
-12, 9
What is z in -z**2/6 + 134*z/3 + 90 = 0?
-2, 270
Factor -o**3/2 + o**2/2 + 5*o + 4.
-(o - 4)*(o + 1)*(o + 2)/2
Factor 2*y**3/11 + 56*y**2/11 - 882*y/11 - 936/11.
2*(y - 12)*(y + 1)*(y + 39)/11
Suppose 12*u**5 - 93*u**4 + 168*u**3 + 48*u**2 = 0. Calculate u.
-1/4, 0, 4
Factor -3*k**4 + 174*k**3 - 501*k**2 + 330*k.
-3*k*(k - 55)*(k - 2)*(k - 1)
Factor -1681*i**4/4 - 7585*i**3 - 68819*i**2/2 - 1665*i - 81/4.
-(i + 9)**2*(41*i + 1)**2/4
Factor 3*t**4/7 + 36*t**3/7 + 54*t**2/7 - 324*t/7 - 729/7.
3*(t - 3)*(t + 3)**2*(t + 9)/7
Factor 4*z**3 - 36*z**2 + 96*z - 64.
4*(z - 4)**2*(z - 1)
Suppose 10*u**4 + 15*u**3 - 40*u**2 + 15*u = 0. Calculate u.
-3, 0, 1/2, 1
Factor -3*o**4 - 228*o**3 - 1632*o**2.
-3*o**2*(o + 8)*(o + 68)
Factor b**2 + 42*b - 88.
(b - 2)*(b + 44)
Factor -2*a**2 - 76*a + 630.
-2*(a - 7)*(a + 45)
Factor 3*s**3/4 - 945*s**2/4 + 99225*s/4 - 3472875/4.
3*(s - 105)**3/4
Determine r, given that -17*r**5 - 100*r**4 - 56*r**3 + 110*r**2 + 73*r - 10 = 0.
-5, -1, 2/17, 1
Factor -12*m**3/7 + 45*m**2/7 + 72*m/7 + 15/7.
-3*(m - 5)*(m + 1)*(4*m + 1)/7
Find q such that -27*q**4 - 318*q**3 - 495*q**2 - 144*q + 60 = 0.
-10, -1, 2/9
Suppose -3*d**4/5 - 39*d**3/5 - 63*d**2/5 + 39*d/5 + 66/5 = 0. What is d?
-11, -2, -1, 1
Factor -20*c**3 + 42*c**2 + 56*c - 6.
-2*(c - 3)*(c + 1)*(10*c - 1)
Suppose 3*a**3 - 33*a**2 + 105*a - 75 = 0. What is a?
1, 5
Let -25*r**3 + 590*r**2 - 1820*r - 21560 = 0. Calculate r.
-22/5, 14
Factor -9*w**3/7 - 30*w**2/7 + 24*w/7.
-3*w*(w + 4)*(3*w - 2)/7
Factor 2*y**5 - 18*y**4 + 64*y**3 - 112*y**2 + 96*y - 32.
2*(y - 2)**4*(y - 1)
Suppose -5*f**2 + 34170*f - 58379445 = 0. Calculate f.
3417
Let 129*s**4/5 + 2*s**3/5 = 0. What is s?
-2/129, 0
Determine d, given that -d**5 + 10*d**4 + 3*d**3 - 28*d**2 - 20*d = 0.
-1, 0, 2, 10
What is o in 12*o**3 - 13*o**2 - 5*o/2 + 7/2 = 0?
-1/2, 7/12, 1
Factor k**4/2 - k**3 + k - 1/2.
(k - 1)**3*(k + 1)/2
Factor -w**4/2 + w**3/2 + w**2.
-w**2*(w - 2)*(w + 1)/2
Factor -x**4/5 + 2*x**3 + 24*x**2/5.
-x**2*(x - 12)*(x + 2)/5
Find d such that -20*d**4 + 15*d**3 + 805*d**2 - 2040*d - 560 = 0.
-7, -1/4, 4
Find a such that a**3 + 5053*a**2 + 6380675*a - 6385729 = 0.
-2527, 1
Factor -2*m**2 - 9360*m - 10951200.
-2*(m + 2340)**2
Determine w so that -36*w**3 + 516*w**2 + 356*w + 60 = 0.
-1/3, 15
What is n in 4*n**3 + 43*n**2 + 130*n + 75 = 0?
-5, -3/4
Suppose 4*r**5/5 - 84*r**4/5 - 56*r**3 - 192*r**2/5 = 0. What is r?
-2, -1, 0, 24
Let 16*l**3 - 2684*l**2 + 112224*l + 28224 = 0. Calculate l.
-1/4, 84
Factor p**3 + 5*p**2 - 22*p + 16.
(p - 2)*(p - 1)*(p + 8)
Determine g so that g**2/2 - 3*g/2 - 275 = 0.
-22, 25
Factor -18*y**3/13 + 3876*y**2/13 - 5144*y/13 + 1712/13.
-2*(y - 214)*(3*y - 2)**2/13
Suppose -d**4/4 - 175*d**3/4 - 7389*d**2/4 + 23407*d/4 - 7921/2 = 0. What is d?
-89, 1, 2
Suppose p**3 - 70*p**2 + 268*p - 264 = 0. Calculate p.
2, 66
Determine d, given that -10*d**3/11 + 426*d**2/11 - 1028*d/11 - 480/11 = 0.
-2/5, 3, 40
Factor y**4 - 16*y**3 - 43*y**2 + 130*y - 72.
(y - 18)*(y - 1)**2*(y + 4)
What is k in -21*k**3/5 + 2*k**2/5 + 1029*k/5 - 98/5 = 0?
-7, 2/21, 7
Factor 28*x**2 - 3564*x + 1016.
4*(x - 127)*(7*x - 2)
Let 2*a**3/3 + 20*a**2/3 - 26*a/3 - 44/3 = 0. What is a?
-11, -1, 2
Factor 2*i**2/3 - 154*i - 464/3.
2*(i - 232)*(i + 1)/3
Factor 3*b**5 + 891*b**4 + 86382*b**3 + 2548230*b**2 - 17719137*b + 27818127.
3*(b - 3)**2*(b + 101)**3
Let 285*a**2 - 3145*a + 110 = 0. What is a?
2/57, 11
Solve -z**4 + 24*z**3 - 165*z**2 + 350*z = 0 for z.
0, 5, 14
Factor 4*g**3 + 12*g**2 - 16.
4*(g - 1)*(g + 2)**2
Factor 4*n**2 - 536*n + 17956.
4*(n - 67)**2
Factor -c**3/10 - 124*c**2/5 - 493*c/10 - 123/5.
-(c + 1)**2*(c + 246)/10
Factor 2*m**4 + 26*m**3 - 690*m**2 + 3950*m - 7000.
2*(m - 5)**3*(m + 28)
Determine o, given that o**5/8 - 3*o**4 - 7*o**3/8 + 81*o**2/4 + 18*o = 0.
-2, -1, 0, 3, 24
Factor -x**4 - 88*x**3 - 258*x**2 - 256*x - 85.
-(x + 1)**3*(x + 85)
Suppose 4*l**2 + 2160*l - 2164 = 0. What is l?
-541, 1
Suppose -c**4 + 7*c**3 + 8*c**2 = 0. What is c?
-1, 0, 8
Solve -27*t**5 + 630*t**4 - 3459*t**3 - 2520*t**2 - 432*t = 0 for t.
-1/3, 0, 12
Find q such that -2*q**4/5 - 18*q**3/5 - 56*q**2/5 - 72*q/5 - 32/5 = 0.
-4, -2, -1
Solve 5*f**2 - 85*f - 2170 = 0 for f.
-14, 31
Find x such that -4*x**5 + 28*x**4 + 8*x**3 - 240*x**2 + 288*x = 0.
-3, 0, 2, 6
Factor -w**3/7 + 24*w**2/7 + 51*w/7 + 26/7.
-(w - 26)*(w + 1)**2/7
Factor g**4/5 + 13*g**3/5 + 4*g**2/5 - 108*g/5 - 144/5.
(g - 3)*(g + 2)**2*(g + 12)/5
Find a such that 4*a**3/3 + 6*a**2 + 8*a + 10/3 = 0.
-5/2, -1
Let -2*l**5/7 + 484*l**4/7 - 4712*l**3/7 + 16812*l**2/7 - 25110*l/7 + 12528/7 = 0. What is l?
1, 3, 232
Let -2*x**2 + 2*x + 12 = 0. Calculate x.
-2, 3
Let -6*w**4 + 135*w**3 - 948*w**2 + 2691*w - 2700 = 0. Calculate w.
3, 4, 25/2
Solve 8748*w**2 + 324*w + 3 = 0 for w.
-1/54
Suppose -5*j**3/6 + 1841*j**2/3 - 736*j/3 = 0. Calculate j.
0, 2/5, 736
Solve 2*t**4 + 8*t**3 - 150*t**2 - 316*t - 160 = 0 for t.
-10, -1, 8
Suppose -2*k**4/5 + 28*k**3/5 - 66*k**2/5 - 224*k/5 - 128/5 = 0. What is k?
-1, 8
Let -z**3 - z**2 + 2*z = 0. What is z?
-2, 0, 1
Find n, given that -1445*n**2/6 + 36295*n/3 - 911645/6 = 0.
427/17
Factor 40*p**3 + 1612*p**2 + 2040*p + 468.
4*(p + 1)*(p + 39)*(10*p + 3)
Factor -2*h**3/7 - 30*h**2 - 208*h/7.
-2*h*(h + 1)*(h + 104)/7
What is y in -10*y**5 + 1894*y**4 + 6924*y**3 + 4648*y**2 - 3088*y = 0?
-2, 0, 2/5, 193
Solve 2*w**4/23 - 148*w**3/23 - 154*w**2/23 + 300*w/23 = 0 for w.
-2, 0, 1, 75
Find g, given that 3*g**2/4 - 3*g/2 = 0.
0, 2
Factor -72*v**4/11 + 120*v**3/11 + 214*v**2/11 - 20*v - 22.
-2*(v + 1)**2*(6*v - 11)**2/11
Factor 2*l**3/5 - 164*l**2/5 - 166*l/5.
2*l*(l - 83)*(l + 1)/5
Factor q**4 + 4*q**3 - 4*q**2 - 16*q.
q*(q - 2)*(q + 2)*(q + 4)
Factor 4*h**3/9 + 14*h**2/3 + 56*h/9 + 2.
2*(h + 1)*(h + 9)*(2*h + 1)/9
Solve a**2 + 597*a/2 + 149 = 0 for a.
-298, -1/2
Determine q so that 3*q**5/4 - 375*q**4/4 + 3873*q**3 - 51408*q**2 - 63504*q + 111132 = 0.
-2, 1, 42
Factor -2*j**2/5 + 2*j - 12/5.
-2*(j - 3)*(j - 2)/5
Determine q, given that 3*q**2 - 741*q + 2196 = 0.
3, 244
Factor 5*f**5 + 20*f**4 + 15*f**3 - 20*f**2 - 20*f.
5*f*(f - 1)*(f + 1)*(f + 2)**2
Suppose -10*z**3/3 + 1525*z**2/3 - 755*z/3 - 760/3 = 0. Calculate z.
-1/2, 1, 152
Suppose 2*a**4/9 - 20*a**3/3 + 104*a**2/3 - 592*a/9 + 128/3 = 0. What is a?
2, 24
Determine x, given that -5*x**3 - 3155*x**2 - 499275*x - 496125 = 0.
-315, -1
Solve n**5 - 23*n**4/3 - 37*n**3/3 + 7*n**2/3 + 6*n = 0.
-1, 0, 2/3, 9
Factor -4*h**5/3 + 52*h**4 - 352*h**3 + 1984*h**2/3.
-4*h**2*(h - 31)*(h - 4)**2/3
Suppose k**3 - 14*k**2 - 69*k - 54 = 0. Calculate k.
-3, -1, 18
What is j in 2*j**2/13 + 86*j/13 - 88/13 = 0?
-44, 1
Solve 4*b**3 + 100*b**2 + 272*b + 176 = 0 for b.
-22, -2, -1
Find y such that -5*y**5 - 90*y**4 + 25*y**3 + 450*y**2 - 20*y - 360 = 0.
-18, -2, -1, 1, 2
Facto