*t**3 - 4*t**2 - 16*t + 16 = 0.
-2, 1, 2
Factor 14*h**3 - 116*h**2 + 32*h.
2*h*(h - 8)*(7*h - 2)
Factor d**4/6 - 11*d**3/6 + 17*d**2/3 - 4*d.
d*(d - 6)*(d - 4)*(d - 1)/6
Factor -2*p**2 + 298*p.
-2*p*(p - 149)
Let f**2/10 - f + 21/10 = 0. What is f?
3, 7
Suppose 2*o**3/9 - 22*o**2/9 - 2*o/9 + 22/9 = 0. Calculate o.
-1, 1, 11
What is r in 5*r**4/2 - 45*r**3/2 + 20*r**2 = 0?
0, 1, 8
Suppose -7*c**2 + 1811*c + 518 = 0. Calculate c.
-2/7, 259
Factor u**4 + 24*u**3 + 66*u**2 + 64*u + 21.
(u + 1)**3*(u + 21)
Factor 2*x**3/5 - 32*x**2/5 - 248*x/5 - 352/5.
2*(x - 22)*(x + 2)*(x + 4)/5
Determine u, given that -2*u**4/5 - 42*u**3/5 - 246*u**2/5 - 518*u/5 - 312/5 = 0.
-13, -4, -3, -1
Solve -a**3/5 - 279*a**2/5 - 2184*a/5 - 4336/5 = 0 for a.
-271, -4
What is c in -c**2/3 - 11*c/3 + 26/3 = 0?
-13, 2
Factor 2*o**2 - 238*o + 468.
2*(o - 117)*(o - 2)
Factor 2*q**2/5 - 248*q + 38440.
2*(q - 310)**2/5
Solve m**2/8 - 135*m/2 + 18225/2 = 0.
270
Let 3*i**5 - 195*i**4/7 + 327*i**3/7 + 111*i**2/7 - 348*i/7 + 12 = 0. What is i?
-1, 2/7, 1, 2, 7
Determine i so that 2*i**2/7 + 11992*i/7 + 17976008/7 = 0.
-2998
Factor -5*m**4 + 65*m**3 - 260*m**2 + 300*m.
-5*m*(m - 6)*(m - 5)*(m - 2)
Factor w**4 + 91*w**3/3 + 200*w**2/3 + 112*w/3.
w*(w + 1)*(w + 28)*(3*w + 4)/3
Factor 5*d**2 + 375*d - 1170.
5*(d - 3)*(d + 78)
Find o such that 4*o**3 + 12*o**2 - 16*o = 0.
-4, 0, 1
Determine o, given that 2*o**4 - 48*o**3 + 126*o**2 + 8*o - 168 = 0.
-1, 2, 21
Factor -2*r**2/9 + 238*r/9 - 236/9.
-2*(r - 118)*(r - 1)/9
Factor -k**3/2 - 31*k**2/2 - 40*k + 56.
-(k - 1)*(k + 4)*(k + 28)/2
What is f in -4*f**2 - 46696*f - 136282276 = 0?
-5837
Factor -2*r**2/5 + 2364*r/5 - 698562/5.
-2*(r - 591)**2/5
Determine x, given that 3*x**4/5 + 1308*x**3/5 + 2607*x**2/5 + 1302*x/5 = 0.
-434, -1, 0
Determine h, given that h**3/9 - 28*h**2/9 - 59*h/9 - 10/3 = 0.
-1, 30
Find o, given that -3*o**5/5 + 12*o**4/5 + 27*o**3/5 - 24*o**2 + 12*o/5 + 144/5 = 0.
-3, -1, 2, 4
Find s, given that 5*s**4 + 30*s**3 - 260*s**2 - 600*s = 0.
-10, -2, 0, 6
Factor 4*p**3/5 + 404*p**2 - 4052*p/5 + 2028/5.
4*(p - 1)**2*(p + 507)/5
Factor -4*v**3 + 84*v**2 + 4*v - 84.
-4*(v - 21)*(v - 1)*(v + 1)
Determine x, given that 2*x**4/13 + 36*x**3/13 + 48*x**2/13 - 256*x/13 = 0.
-16, -4, 0, 2
What is h in -2*h**2/11 + 144*h/11 = 0?
0, 72
Factor 4*i**3 + 24*i**2 - 108*i.
4*i*(i - 3)*(i + 9)
Factor 5*l**2 + 160*l - 925.
5*(l - 5)*(l + 37)
Factor 1084*a**4/7 + 4344*a**3/7 + 32*a**2/7.
4*a**2*(a + 4)*(271*a + 2)/7
Solve -5*m**4 - 30*m**3 - 60*m**2 - 40*m = 0 for m.
-2, 0
Factor 5*x**4 - 410*x**3 - 15*x**2 + 1220*x + 820.
5*(x - 82)*(x - 2)*(x + 1)**2
Solve 16*u**5 + 16*u**4 - 108*u**3 - 208*u**2 - 124*u - 24 = 0.
-2, -1, -1/2, 3
Factor 3*z**5/4 - 3*z**4 + 15*z**3/4 - 3*z**2/2.
3*z**2*(z - 2)*(z - 1)**2/4
Find w such that 39*w**4 + 423*w**3 - 1041*w**2 + 657*w - 78 = 0.
-13, 2/13, 1
Find x, given that -2*x**4/13 - 46*x**3/13 + 48*x**2/13 = 0.
-24, 0, 1
Factor y**2 + 12*y - 13.
(y - 1)*(y + 13)
Suppose -2*l**5 + l**4/2 + 10*l**3 - 5*l**2/2 - 8*l + 2 = 0. What is l?
-2, -1, 1/4, 1, 2
Determine q so that -110*q**3 + 108*q**2 + 222*q + 4 = 0.
-1, -1/55, 2
Factor -t**3 - 5*t**2 + 6*t.
-t*(t - 1)*(t + 6)
Factor m**3/2 - 1188*m**2 + 705672*m.
m*(m - 1188)**2/2
Determine k so that -65*k**3/4 + 59*k**2/4 + 3*k/2 = 0.
-6/65, 0, 1
Suppose -g**2/5 + 78*g/5 - 1521/5 = 0. What is g?
39
Determine p, given that p**3 - 498*p**2 = 0.
0, 498
Find r, given that -5*r**3 - 40*r**2 + 740*r + 1600 = 0.
-16, -2, 10
Let -2*g**4/7 + 106*g**3/7 - 198*g**2/7 - 306*g/7 = 0. Calculate g.
-1, 0, 3, 51
Factor -15*p**2 - 567*p + 114.
-3*(p + 38)*(5*p - 1)
Determine b, given that -b**4/7 + 2*b**3 - 5*b**2 - 50*b/7 = 0.
-1, 0, 5, 10
Suppose 3*r**5 + 3*r**4 - 42*r**3 + 78*r**2 - 57*r + 15 = 0. What is r?
-5, 1
Let -4*j**4 - 240*j**3 - 1340*j**2 - 2400*j - 1296 = 0. Calculate j.
-54, -3, -2, -1
Find r such that -3*r**2 + 1554*r - 201243 = 0.
259
Factor 3*p**2 + 9*p - 2100.
3*(p - 25)*(p + 28)
Factor 2*t**4/3 + 4*t**3 - 2*t**2/3 - 4*t.
2*t*(t - 1)*(t + 1)*(t + 6)/3
Solve c**2 + 2*c = 0 for c.
-2, 0
Suppose 4*h**4/3 + 52*h**3/3 + 76*h**2 + 380*h/3 + 200/3 = 0. What is h?
-5, -2, -1
Factor -5*g**5 - 5*g**4 + 10*g**3.
-5*g**3*(g - 1)*(g + 2)
Factor -52*f**2/3 - 54*f - 6.
-2*(f + 3)*(26*f + 3)/3
Factor -3*f**3 - 621*f**2 - 2448*f - 2436.
-3*(f + 2)**2*(f + 203)
Factor 2*z**2/3 - 92*z/3 + 336.
2*(z - 28)*(z - 18)/3
Let -2*i**4/3 - 16*i**3 - 332*i**2/3 - 176*i - 242/3 = 0. What is i?
-11, -1
Factor -t**2/6 - 2*t/3 + 2.
-(t - 2)*(t + 6)/6
Factor n**4 + 13*n**3 + 32*n**2 + 20*n.
n*(n + 1)*(n + 2)*(n + 10)
Factor i**2/4 + 361*i/2 + 721/4.
(i + 1)*(i + 721)/4
Factor 5*p**5 - 40*p**4 + 125*p**3 - 190*p**2 + 140*p - 40.
5*(p - 2)**3*(p - 1)**2
Determine d so that 3*d**4 - 291*d**3 + 855*d**2 - 849*d + 282 = 0.
1, 94
Determine u, given that -3*u**2 - 528*u = 0.
-176, 0
Factor -r**2/4 + 377*r + 755.
-(r - 1510)*(r + 2)/4
What is d in -2*d**3/7 - 12*d**2/7 + 338*d/7 - 612/7 = 0?
-17, 2, 9
Let 2*u**2 - 74*u + 672 = 0. Calculate u.
16, 21
What is s in -4*s**3 - 220*s**2 + 224*s = 0?
-56, 0, 1
Solve n**4/5 - 12*n**3/5 + 7*n**2 + 12*n/5 - 36/5 = 0 for n.
-1, 1, 6
Find u, given that -u**2/4 - 5*u/2 - 21/4 = 0.
-7, -3
What is w in -74*w**2/23 - 152*w/23 - 8/23 = 0?
-2, -2/37
Factor 4*b**2/5 + 338*b/5 + 168/5.
2*(b + 84)*(2*b + 1)/5
Factor -2*i**4 - 140*i**3 + 286*i**2 - 144*i.
-2*i*(i - 1)**2*(i + 72)
Factor -q**3/7 - 8*q**2/7 - 13*q/7 - 6/7.
-(q + 1)**2*(q + 6)/7
Determine r so that 2*r**2 - 156*r - 830 = 0.
-5, 83
Suppose s**5 + s**4 - 16*s**3 - 16*s**2 = 0. What is s?
-4, -1, 0, 4
Find p such that -14*p**5/15 - 64*p**4/5 + 182*p**3/5 + 532*p**2/15 - 64*p/5 = 0.
-16, -1, 0, 2/7, 3
Factor -w**5/4 - 3*w**4/4 + 3*w**3/2 + 5*w**2/2 - 21*w/4 + 9/4.
-(w - 1)**3*(w + 3)**2/4
Find y such that 95*y**3 + 1320*y**2 - 3180*y + 320 = 0.
-16, 2/19, 2
Find i, given that -3*i**5 - 12*i**4 - 12*i**3 = 0.
-2, 0
Determine p so that p**5 + 12*p**4 - 85*p**3 = 0.
-17, 0, 5
Suppose k**3 - 13*k**2 + 10*k + 24 = 0. Calculate k.
-1, 2, 12
Let 4*w**2/7 + 88*w + 612/7 = 0. What is w?
-153, -1
Factor w**2 - 25*w - 26.
(w - 26)*(w + 1)
Determine q so that -2*q**4/13 + 5396*q**3/13 - 279554*q**2 - 7284600*q/13 - 3645000/13 = 0.
-1, 1350
Let 5*v**2 - 6005*v - 12030 = 0. What is v?
-2, 1203
Factor -4*p**3/5 + 88*p**2/5 + 188*p/5 + 96/5.
-4*(p - 24)*(p + 1)**2/5
Factor 27*h**2 - 4048*h - 300.
(h - 150)*(27*h + 2)
Factor -3*b**2 - 84*b + 180.
-3*(b - 2)*(b + 30)
Find q such that 4*q**3 + 200*q**2 - 212*q - 408 = 0.
-51, -1, 2
Factor -3*n**4 - 567*n**3 + 1143*n**2 - 573*n.
-3*n*(n - 1)**2*(n + 191)
Factor -4*k**5 - 16*k**4 + 128*k**3.
-4*k**3*(k - 4)*(k + 8)
Solve 2*s**3/5 + 406*s**2/5 + 19982*s/5 - 63654/5 = 0 for s.
-103, 3
What is v in 2*v**4/5 + 64*v**3/5 + 444*v**2/5 - 1088*v/5 + 578/5 = 0?
-17, 1
Factor 2*g**2/5 - 652*g/5 + 53138/5.
2*(g - 163)**2/5
Find n, given that -3*n**2/8 - 687*n/4 - 1371/8 = 0.
-457, -1
Let -3*i**3/8 + 33*i**2/4 + 1623*i/8 + 777/4 = 0. Calculate i.
-14, -1, 37
Factor -4*u**2 - 44*u + 2280.
-4*(u - 19)*(u + 30)
Solve 6*j**5/5 + 51*j**4/5 + 21*j**3 - 66*j**2/5 - 192*j/5 + 96/5 = 0 for j.
-4, -2, 1/2, 1
Find q, given that 14*q**4/3 - 1318*q**3/9 + 488*q**2/9 + 248*q/9 = 0.
-2/7, 0, 2/3, 31
Suppose -3*l**5/2 + 18*l**4 - 159*l**3/2 + 153*l**2 - 108*l = 0. Calculate l.
0, 2, 3, 4
Factor 2*z**3/7 + 22*z**2/7 - 24*z/7.
2*z*(z - 1)*(z + 12)/7
Determine n, given that -2*n**3/13 + 544*n**2/13 + 1096*n/13 = 0.
-2, 0, 274
Let -54*v**5/5 - 216*v**4/5 + 576*v**3/5 - 412*v**2/5 + 118*v/5 - 12/5 = 0. Calculate v.
-6, 1/3, 1
What is f in 33*f**4 - 3789*f**3 - 4518*f**2 - 696*f = 0?
-1, -2/11, 0, 116
Factor 2*z**4 - 430*z**3.
2*z**3*(z - 215)
Factor 3*d**2/4 + 1191*d/4.
3*d*(d + 397)/4
Factor -j**4/7 - 36*j**3/7 - 148*j**2/7 + 3168*j/7 - 7744/7.
-(j - 4)**2*(j + 22)**2/7
Solve 12*n**5 + 124*n**4 + 32*n**3 - 80*n**2 = 0 for n.
-10, -1, 0, 2/3
Suppose 4*k**2 + 4128*k - 4132 = 0. Calculate k.
-1033, 1
Suppose g**2/5 - 116*g/5 - 732/5 = 0. What is g?
-6, 122
Determine v so that 5*v**5 - 278*v**4 + 163*v**3 + 110*v**2 = 0.
-2/5, 0, 1, 55
Suppose -10*n**4 + 45*n**3 - 50*n**2 = 0. What is n?
0, 2, 5/2
Find s such that -5*s**3 + 75*s**2 + 170*s = 0.
-2, 0, 17
Let 2*i**2/3 + 14108*i/3 + 24879458/3 = 0. What is i?
-3527
What is l