0. Calculate x.
-18, 1/3, 28
Factor 2*d**3/13 - 56*d**2/13 + 40*d - 1600/13.
2*(d - 10)**2*(d - 8)/13
Factor 4*h**2 - 328*h + 1540.
4*(h - 77)*(h - 5)
Determine a, given that -3*a**5 - 6*a**4 + 117*a**3 + 120*a**2 - 1200*a = 0.
-5, 0, 4
Factor -8*q**2/3 + 3*q.
-q*(8*q - 9)/3
Let -2*o**2/15 - 2*o = 0. What is o?
-15, 0
Let -5*r**2 - 55*r = 0. What is r?
-11, 0
Factor 4*r**2/5 - 224*r/5 - 1764/5.
4*(r - 63)*(r + 7)/5
Find x, given that -2*x**2 + 628*x - 49298 = 0.
157
Let 42*l**4 - 2566*l**3 + 5242*l**2 - 2954*l + 236 = 0. What is l?
2/21, 1, 59
Factor -2*g**2/5 + 86*g/5.
-2*g*(g - 43)/5
Factor -3*r**3 + 12*r**2 + 63*r.
-3*r*(r - 7)*(r + 3)
Factor 4*s**3 + 6300*s**2 + 2483772*s + 2477476.
4*(s + 1)*(s + 787)**2
Suppose d**4/7 - 33*d**3/7 + 17*d**2 - 87*d/7 = 0. Calculate d.
0, 1, 3, 29
Let -o**2 - 2212*o - 1223236 = 0. Calculate o.
-1106
Factor -27378*i**2/5 - 936*i/5 - 8/5.
-2*(117*i + 2)**2/5
Determine z so that -2*z**5 - 12*z**4 + 2*z**3 + 76*z**2 - 64 = 0.
-4, -1, 1, 2
Determine b so that b**3 - 438*b**2 + 47520*b + 96800 = 0.
-2, 220
Solve -48*l**4 + 56376*l**3 - 16567491*l**2 + 8273178*l - 1033707 = 0 for l.
1/4, 587
Solve 2*p**2 + 6*p - 476 = 0 for p.
-17, 14
Determine h, given that -16*h**3/3 - 416*h**2/3 - 404*h/3 - 100/3 = 0.
-25, -1/2
Solve -4*o**3 - 2580*o**2 + 5172*o - 2588 = 0 for o.
-647, 1
Solve w**2/10 - 2*w/5 - 1/2 = 0 for w.
-1, 5
Factor -5*c**3 + 64835*c**2 - 210146440*c - 210211280.
-5*(c - 6484)**2*(c + 1)
Factor 2*j**3/7 + 4*j**2/7 + 2*j/7.
2*j*(j + 1)**2/7
Solve p**4 + 5*p**3 - 18*p**2 - 20*p + 56 = 0 for p.
-7, -2, 2
Solve 2*y**5 + 92*y**4/11 + 126*y**3/11 + 64*y**2/11 + 8*y/11 = 0.
-2, -1, -2/11, 0
Determine c so that -5*c**3 + 40*c**2 + 45*c - 360 = 0.
-3, 3, 8
Suppose 4*h**2 + 172*h + 1408 = 0. What is h?
-32, -11
Find n such that n**2/2 - 571*n/2 = 0.
0, 571
Factor 2*s**2/7 - 1432*s/7 + 256328/7.
2*(s - 358)**2/7
Solve 64*s**5/3 + 1616*s**4/3 + 1115*s**3 + 761*s**2/3 + 46*s/3 = 0.
-23, -2, -1/8, 0
Suppose -2*q**5 + 2*q**4 + 12*q**3 = 0. Calculate q.
-2, 0, 3
Find p such that p**2/5 - 181*p/5 - 148 = 0.
-4, 185
Suppose 1250*d**2/13 + 300*d/13 + 18/13 = 0. Calculate d.
-3/25
Solve -35*b**4 + 220*b**3 - 375*b**2 + 230*b - 40 = 0.
2/7, 1, 4
Factor 3*s**3/2 - 93*s**2 - 189*s/2.
3*s*(s - 63)*(s + 1)/2
Factor -2*g**2/5 - 86*g/5 + 276/5.
-2*(g - 3)*(g + 46)/5
Factor 5*p**3 + 795*p**2 + 31995*p + 31205.
5*(p + 1)*(p + 79)**2
Factor -15*k**2 - 40*k - 25.
-5*(k + 1)*(3*k + 5)
Determine i, given that -361*i**5/4 - 13281*i**4/4 + 4312*i**3 + 6062*i**2 - 1404*i + 76 = 0.
-38, -1, 2/19, 2
Let 3*a**4/2 + 45*a**3/2 + 117*a**2 + 240*a + 144 = 0. Calculate a.
-6, -4, -1
Factor 2*o**4 - 54*o**3 + 450*o**2 - 946*o - 1452.
2*(o - 11)**2*(o - 6)*(o + 1)
Factor 4*y**3 - 32*y**2 - 652*y + 680.
4*(y - 17)*(y - 1)*(y + 10)
Determine c, given that -2*c**4/11 + 128*c**3/11 + 36*c**2 + 400*c/11 + 134/11 = 0.
-1, 67
Suppose o**2/10 + 4*o/5 - 9/10 = 0. Calculate o.
-9, 1
Factor 3*m**3 - 15*m**2 - 42*m.
3*m*(m - 7)*(m + 2)
Solve -5*g**5 + 917*g**4 - 56178*g**3 + 1156682*g**2 - 420473*g - 680943 = 0.
-3/5, 1, 61
Solve -2*x**5/3 + 16*x**4/3 - 8*x**3/3 - 116*x**2/3 + 10*x/3 + 100/3 = 0 for x.
-2, -1, 1, 5
Solve 10*d**5 + 4*d**4 - 30*d**3 + 8*d**2 + 8*d = 0.
-2, -2/5, 0, 1
Factor -2*n**3/17 - 10*n**2/17 + 178*n/17 - 390/17.
-2*(n - 5)*(n - 3)*(n + 13)/17
Suppose 4*w**2/3 + 9160*w + 15732300 = 0. Calculate w.
-3435
Find h such that -4*h**2 - 460*h - 1776 = 0.
-111, -4
Let -3*g**3 - 12888*g**2 - 18455616*g - 8809480704 = 0. What is g?
-1432
Factor 3*p**3/7 + 30*p**2/7 + 9*p.
3*p*(p + 3)*(p + 7)/7
Let l**4/5 + l**3 - 21*l**2/5 + 23*l/5 - 8/5 = 0. Calculate l.
-8, 1
Factor -5*p**3 + 20*p**2 + 125*p - 140.
-5*(p - 7)*(p - 1)*(p + 4)
Solve 2*j**2/7 + 5224*j/7 - 5226/7 = 0 for j.
-2613, 1
Factor -2*k**2/9 + 2*k/9 + 4/9.
-2*(k - 2)*(k + 1)/9
Factor 2*c**2/15 - 106*c/5 + 316/15.
2*(c - 158)*(c - 1)/15
Determine l so that -5*l**5 - 5*l**4 + 80*l**3 + 80*l**2 = 0.
-4, -1, 0, 4
Factor -2*l**3/9 - 2*l**2/9 + 32*l/9 - 40/9.
-2*(l - 2)**2*(l + 5)/9
Factor t**3/5 + t**2/5 - 4*t/5 - 4/5.
(t - 2)*(t + 1)*(t + 2)/5
Factor -4*i**3 - 496*i**2 + 1008*i.
-4*i*(i - 2)*(i + 126)
Factor i**4/5 + 8*i**3/5 - 8*i**2/5 - 96*i/5 + 144/5.
(i - 2)**2*(i + 6)**2/5
Find w such that -w**4/2 + 353*w**3/2 - 1053*w**2/2 + 1051*w/2 - 175 = 0.
1, 350
Suppose n**5/8 + n**4/2 + n**3/8 - 3*n**2/4 = 0. Calculate n.
-3, -2, 0, 1
Factor -q**4/6 - 2*q**3/3 + 8*q/3 + 8/3.
-(q - 2)*(q + 2)**3/6
What is t in 4*t**3 + 4*t**2 - 40*t + 32 = 0?
-4, 1, 2
Factor 22*g**2/9 - 20*g + 32/9.
2*(g - 8)*(11*g - 2)/9
Factor 4*y**2 + 1960*y + 240100.
4*(y + 245)**2
Factor 2*a**3/7 + 68*a**2/7 + 690*a/7 + 1800/7.
2*(a + 4)*(a + 15)**2/7
Factor -2*q**4 + 104*q**3 - 1728*q**2 + 7776*q + 23328.
-2*(q - 18)**3*(q + 2)
Determine t, given that -2*t**5/3 + 80*t**4/21 - 34*t**3/7 - 12*t**2/7 = 0.
-2/7, 0, 3
Let -n**4 - 7*n**3 - 15*n**2 - 9*n = 0. Calculate n.
-3, -1, 0
Determine k, given that 4*k**5 - 44*k**4 - 284*k**3 - 548*k**2 - 440*k - 128 = 0.
-2, -1, 16
Factor q**3 + 468*q**2 + 467*q.
q*(q + 1)*(q + 467)
What is q in -q**3 + 154*q**2 - 5929*q = 0?
0, 77
Determine i so that 10*i**4/3 + 28*i**3/3 + 8*i**2 + 4*i/3 - 2/3 = 0.
-1, 1/5
Factor 3*r**3 + 21*r**2 - 219*r + 195.
3*(r - 5)*(r - 1)*(r + 13)
Suppose 5*g**4 + 131*g**3/3 + 63*g**2 + 15*g - 28/3 = 0. Calculate g.
-7, -1, 4/15
Suppose 3*t**5 - 21*t**3 - 6*t**2 + 36*t + 24 = 0. Calculate t.
-2, -1, 2
Suppose 2*w**3 - 4*w**2 - 2*w + 4 = 0. What is w?
-1, 1, 2
Suppose a**3 - 145*a**2 - 146*a = 0. Calculate a.
-1, 0, 146
Factor 345*n**3 + 515*n**2 - 330*n + 40.
5*(n + 2)*(3*n - 1)*(23*n - 4)
Factor -5*v**2 - 4565*v.
-5*v*(v + 913)
Find u such that -5*u**3 - 630*u**2 - 19845*u = 0.
-63, 0
What is c in -c**2/3 - 793*c/3 = 0?
-793, 0
Factor -4*q**5 - 8*q**4 + 24*q**3 + 80*q**2 + 76*q + 24.
-4*(q - 3)*(q + 1)**3*(q + 2)
Find g such that 12*g**3 + 524*g**2 - 716*g + 180 = 0.
-45, 1/3, 1
Solve -5*z**4/4 - 13*z**3 - 87*z**2/2 - 53*z - 85/4 = 0 for z.
-5, -17/5, -1
Factor 12*g**4 - 3*g**3 - 36*g**2 + 33*g - 6.
3*(g - 1)**2*(g + 2)*(4*g - 1)
Let -4*p**2/3 + 448*p - 2672/3 = 0. Calculate p.
2, 334
Factor -4*h**4 - 4*h**3 + 48*h**2 - 16*h - 64.
-4*(h - 2)**2*(h + 1)*(h + 4)
Factor 2*n**3 - 684*n**2 + 1362*n - 680.
2*(n - 340)*(n - 1)**2
Suppose -4*g**4 + 1161*g**3 + 2042*g**2 + 585*g - 292 = 0. What is g?
-1, 1/4, 292
Factor 2*b**5 + 10*b**4 - 14*b**3 - 10*b**2 + 12*b.
2*b*(b - 1)**2*(b + 1)*(b + 6)
Solve -4*a**2 + 184*a - 2116 = 0.
23
Factor -4*v**5 + 16*v**4 - 24*v**3 + 16*v**2 - 4*v.
-4*v*(v - 1)**4
Suppose -4*g**2 - 2048*g - 262144 = 0. Calculate g.
-256
Solve 22*y**3/5 + 30*y**2 - 204*y/5 + 32/5 = 0.
-8, 2/11, 1
Factor -2*c**2/13 - 4*c/13 - 2/13.
-2*(c + 1)**2/13
Let -6*g**3 + 50*g**2/3 - 8*g - 8/3 = 0. Calculate g.
-2/9, 1, 2
Suppose -5*t**3 - 65*t**2 + 80*t + 140 = 0. Calculate t.
-14, -1, 2
Let 3*s**3/4 - 33*s**2/4 + 93*s/4 - 63/4 = 0. Calculate s.
1, 3, 7
Factor -12*j**2 - 1455*j - 363.
-3*(j + 121)*(4*j + 1)
Factor -2*x**2/3 - 10*x - 100/3.
-2*(x + 5)*(x + 10)/3
Factor -3*n**2/2 + 795*n/2.
-3*n*(n - 265)/2
Solve -1352*c**2 - 104*c - 2 = 0.
-1/26
Determine g, given that 18*g**2 + 446*g - 100 = 0.
-25, 2/9
Suppose 3*v**5 + 48*v**4 + 138*v**3 - 924*v**2 - 3381*v + 4116 = 0. Calculate v.
-7, 1, 4
Solve -z**2 + 325*z + 654 = 0 for z.
-2, 327
Solve m**4 - 18*m**3 - 107*m**2 - 180*m - 92 = 0.
-2, -1, 23
Solve -32*r**2/3 + 196*r/3 = 0.
0, 49/8
Find a such that -a**2/4 + 13*a/4 + 12 = 0.
-3, 16
Suppose 3*w**5 = 0. Calculate w.
0
Find h, given that -h**5/2 - 151*h**4/6 - 883*h**3/3 + 1742*h**2/3 + 676*h/3 = 0.
-26, -1/3, 0, 2
Factor b**2 - 478*b + 952.
(b - 476)*(b - 2)
Factor 3*l**2 + 108*l - 756.
3*(l - 6)*(l + 42)
Find l such that l**3/4 + l**2/4 - l/2 = 0.
-2, 0, 1
Factor 2*w**3/13 + 868*w**2/13 + 96728*w/13 + 549552/13.
2*(w + 6)*(w + 214)**2/13
Factor -2*s**3/13 + 174*s**2/13 - 3870*s/13 + 3698/13.
-2*(s - 43)**2*(s - 1)/13
Factor h**2 - 32*h + 31.
(h - 31)*(h - 1)
Factor h**2/4 - 341*h/2 + 681/4.
(h - 681)*(h - 1)/4
Factor -2*q**5/7 - 114*q**4/7 - 432*q**3/7 - 424*q**2/7.
-2*q**2*(q + 2)**2*(q + 53)/7
Suppose n**5/3 + 47*n**4 + 1433*n**3 - 47041*n**2/3 + 44200*n - 30000 = 0. Calculate n.
-75, 1, 4
Find j, given that 5*j**2 - 650*j + 21125 = 0.
65
Determine a so that 3*a**4 