late m.
0, 1
Let -2*v**5/3 + 18*v**4 - 166*v**3/3 - 3406*v**2/3 + 2368*v - 3584/3 = 0. Calculate v.
-7, 1, 16
What is o in 54*o**5 + 15*o**4 - 222*o**3 - 60*o**2 + 24*o = 0?
-2, -1/2, 0, 2/9, 2
Factor 2*i**3 + 14*i**2 + 4*i - 80.
2*(i - 2)*(i + 4)*(i + 5)
Suppose 2*s**2/13 + 108*s/13 + 1458/13 = 0. What is s?
-27
Factor d**4/8 - 453*d**3/8 - 683*d**2/4 - 114*d.
d*(d - 456)*(d + 1)*(d + 2)/8
Solve 2*n**2/23 + 6504*n/23 + 5287752/23 = 0 for n.
-1626
Factor -2*a**3 - 882*a**2 - 880*a.
-2*a*(a + 1)*(a + 440)
Suppose -2*i**2/9 + 54*i + 488/9 = 0. Calculate i.
-1, 244
Let -112*d**5/3 + 1132*d**4/9 - 1052*d**3/9 + 272*d**2/9 - 16*d/9 = 0. What is d?
0, 1/12, 2/7, 1, 2
Determine c, given that c**3 + 10*c**2 + 17*c - 28 = 0.
-7, -4, 1
Solve -2*d**4/5 + 10*d**3 = 0 for d.
0, 25
Determine a, given that 4*a**4 + 336*a**3 + 8392*a**2 + 51504*a - 60236 = 0.
-37, -11, 1
Factor -j**5/5 - 3*j**4/5 + 2*j**3.
-j**3*(j - 2)*(j + 5)/5
Let 507*c**5/4 + 468*c**4 + 354*c**3 - 144*c**2 + 12*c = 0. Calculate c.
-2, 0, 2/13
Suppose -p**4/3 - 71*p**3/3 - 463*p**2/3 - 323*p - 192 = 0. Calculate p.
-64, -3, -1
What is a in 291*a**2 + 1155*a - 36 = 0?
-4, 3/97
Factor -4*b**2/5 - 22488*b/5 - 31606884/5.
-4*(b + 2811)**2/5
Find z, given that 5*z**2 - 35*z - 150 = 0.
-3, 10
Factor 255*y**3/4 - 18*y**2 - 3*y.
3*y*(5*y - 2)*(17*y + 2)/4
Suppose y**2 - 11*y - 210 = 0. What is y?
-10, 21
Factor 2*g**3/17 + 8*g**2/17 - 22*g/17 + 12/17.
2*(g - 1)**2*(g + 6)/17
Suppose -12*v**4/17 + 542*v**3/17 - 1134*v**2/17 + 690*v/17 - 86/17 = 0. What is v?
1/6, 1, 43
Let 2*f**2/13 - 2466*f/13 + 2464/13 = 0. Calculate f.
1, 1232
Factor -5*t**4 - 4*t**3 + 6*t**2 + 4*t - 1.
-(t - 1)*(t + 1)**2*(5*t - 1)
Factor h**2/3 - 949*h/3.
h*(h - 949)/3
Find b such that 2*b**3/7 + 38*b**2/7 + 10*b + 34/7 = 0.
-17, -1
Find m, given that -2*m**5 + 14*m**4 + 46*m**3 - 78*m**2 - 108*m = 0.
-3, -1, 0, 2, 9
Find k, given that -2*k**5/9 + 34*k**4/9 + 212*k**3/9 + 176*k**2/9 = 0.
-4, -1, 0, 22
Find y such that -2*y**4 + 44*y**3 - 314*y**2 + 792*y - 648 = 0.
2, 9
Find y, given that 5*y**4 - 1328*y**3 + 7308*y**2 - 7264*y - 4160 = 0.
-2/5, 2, 4, 260
Determine f so that 3*f**3 + 60*f**2 + 51*f - 114 = 0.
-19, -2, 1
Determine n so that -3*n**4 - 42*n**3 + 144*n**2 + 1632*n - 5376 = 0.
-14, -8, 4
Solve 3*u**3/7 + 36*u**2/7 - 705*u/7 + 1242/7 = 0 for u.
-23, 2, 9
Suppose -10*u**4 + 74*u**3 - 188*u**2 + 184*u - 48 = 0. What is u?
2/5, 2, 3
Determine p so that -p**2/7 + 190*p/7 - 925/7 = 0.
5, 185
Let 8*g**2/11 - 754*g/11 + 188/11 = 0. Calculate g.
1/4, 94
Factor -w**3 - 7*w**2 - 10*w.
-w*(w + 2)*(w + 5)
Suppose 2*d**2/3 - 82*d/3 - 88 = 0. What is d?
-3, 44
Find j, given that 3*j**5 + 78*j**4 + 447*j**3 - 528*j**2 = 0.
-16, -11, 0, 1
Let -2*b**4/5 + 356*b**3/5 - 23138*b**2/5 + 649344*b/5 - 6653952/5 = 0. Calculate b.
32, 57
Factor -j**3/5 - 88*j**2/5 - 1936*j/5.
-j*(j + 44)**2/5
Solve 3*f**4/2 + 9*f**3 + 27*f**2/2 + 6*f = 0.
-4, -1, 0
Suppose -3*l**4/4 - 15*l**3 - 111*l**2/4 - 27*l/2 = 0. What is l?
-18, -1, 0
Factor -5*m**2 - 8590*m - 3689405.
-5*(m + 859)**2
Factor -5*c**2 - 45*c - 40.
-5*(c + 1)*(c + 8)
Suppose y**4/3 - 304*y**3/3 + 11552*y**2 - 1755904*y/3 + 33362176/3 = 0. Calculate y.
76
Factor -3*j**5/7 - 372*j**4/7 - 7212*j**3/7 + 267840*j**2/7 - 1555200*j/7.
-3*j*(j - 10)**2*(j + 72)**2/7
Determine y so that -y**3/3 + 127*y**2/3 + y/3 - 127/3 = 0.
-1, 1, 127
What is a in 2*a**5 - 14*a**4 - 16*a**3 = 0?
-1, 0, 8
Factor 4*k**4/9 - 20*k**3/9 - 1496*k**2/9.
4*k**2*(k - 22)*(k + 17)/9
Factor -4*t**5 - 44*t**4 - 40*t**3 + 424*t**2 - 532*t + 196.
-4*(t - 1)**3*(t + 7)**2
Factor 2*z**3/7 - 12*z**2/7 + 10*z/7.
2*z*(z - 5)*(z - 1)/7
Find g, given that -3*g**3/4 - 393*g**2/2 - 1551*g/4 + 585 = 0.
-260, -3, 1
Find r such that 2*r**2/15 - 644*r/15 - 646/15 = 0.
-1, 323
Suppose 8*u**4 - 444*u**3 - 3630*u**2 - 9325*u - 7875 = 0. Calculate u.
-5/2, 63
Factor 9*p**3/2 - 219*p**2/2 + 36*p.
3*p*(p - 24)*(3*p - 1)/2
Suppose 12*i**5 + 124*i**4 + 324*i**3 + 324*i**2 + 112*i = 0. Calculate i.
-7, -4/3, -1, 0
Factor -y**2 - 35*y.
-y*(y + 35)
Determine g so that 9*g**2 - 14*g - 8 = 0.
-4/9, 2
Determine w, given that -2*w**5 - 24*w**4 - 32*w**3 + 84*w**2 + 34*w - 60 = 0.
-10, -3, -1, 1
Factor -2*q**2/9 + 16*q/9 - 32/9.
-2*(q - 4)**2/9
Factor -2*n**3/19 - 354*n**2/19 - 20886*n/19 - 410758/19.
-2*(n + 59)**3/19
Determine m so that m**2/6 - 85*m/6 = 0.
0, 85
Solve 4*b**4 - 44*b**3 - 52*b**2 + 44*b + 48 = 0 for b.
-1, 1, 12
Solve h**3/3 - 10*h**2/3 - 13*h/3 + 22/3 = 0.
-2, 1, 11
Solve 4*g**2 - 2440*g + 372100 = 0 for g.
305
Determine o, given that 4*o**2 - 148*o - 656 = 0.
-4, 41
Suppose 5*f**4 + 90*f**3 + 145*f**2 - 240*f = 0. Calculate f.
-16, -3, 0, 1
Factor 2*n**3/7 + 80*n**2/7 + 288*n/7.
2*n*(n + 4)*(n + 36)/7
Find s such that 2*s**4/11 + 92*s**3/11 + 1290*s**2/11 + 5200*s/11 + 4000/11 = 0.
-20, -5, -1
Suppose 3*w**4 + 48*w**3 + 138*w**2 - 432*w + 243 = 0. What is w?
-9, 1
Factor z**3 - 151*z**2/3 + 197*z/3 - 49/3.
(z - 49)*(z - 1)*(3*z - 1)/3
Find d such that -2*d**5/15 - 148*d**4/3 - 30744*d**3/5 - 3988912*d**2/15 - 14526784*d/15 = 0.
-122, -4, 0
Let 5*v**4 - 32*v**3 + 57*v**2 - 18*v = 0. Calculate v.
0, 2/5, 3
Factor -10*m**2/3 - 106*m/3 - 20.
-2*(m + 10)*(5*m + 3)/3
Find x, given that -5*x**3 - 705*x**2 - 2080*x - 1380 = 0.
-138, -2, -1
Determine n, given that 10*n**5/17 + 906*n**4/17 + 1426*n**3/17 + 174*n**2/17 - 356*n/17 = 0.
-89, -1, 0, 2/5
Factor -5*b**2/6 - 515*b/6.
-5*b*(b + 103)/6
Factor z**2/5 + 10*z - 159/5.
(z - 3)*(z + 53)/5
Suppose -35*y**5/2 + 675*y**4/2 + 1060*y**3 - 330*y**2 = 0. Calculate y.
-3, 0, 2/7, 22
Let -o**2 - 1817*o = 0. What is o?
-1817, 0
Factor -w**4 + 11*w**2 - 18*w + 8.
-(w - 2)*(w - 1)**2*(w + 4)
Suppose 2*s**4/5 - 4*s**3/5 - 8*s**2/5 + 16*s/5 = 0. What is s?
-2, 0, 2
What is u in 3*u**5/5 + 2619*u**4/5 + 855414*u**3/5 + 123451614*u**2/5 + 6522648039*u/5 - 20702317689/5 = 0?
-219, 3
Suppose z**4/4 - 5*z**2/4 + 1 = 0. Calculate z.
-2, -1, 1, 2
Solve 2*w**5 + 4*w**4 - 8*w**3 - 16*w**2 = 0 for w.
-2, 0, 2
What is q in 4*q**2/5 + 192*q/5 + 2304/5 = 0?
-24
Factor -32*w**2/5 + 28*w/5 + 4/5.
-4*(w - 1)*(8*w + 1)/5
Factor 8*r**3 + 68*r**2 - 36*r.
4*r*(r + 9)*(2*r - 1)
Factor 2*s**2/11 - 80*s/11 - 32.
2*(s - 44)*(s + 4)/11
What is f in -4*f**2 - 2072*f - 268324 = 0?
-259
Factor -3*l**5/5 - 231*l**4/5 - 6579*l**3/5 - 16473*l**2 - 383214*l/5.
-3*l*(l + 17)**3*(l + 26)/5
Suppose -2*m**3/7 - 240*m**2/7 - 702*m/7 = 0. What is m?
-117, -3, 0
Factor 161472*r**2 - 1392*r + 3.
3*(232*r - 1)**2
Let -c**2/4 + 5*c/4 = 0. What is c?
0, 5
Determine w, given that -2*w**5 - 9*w**4 - 8*w**3 + 6*w**2 + 10*w + 3 = 0.
-3, -1, -1/2, 1
Find r such that -12*r**5 - 183*r**4/5 + 891*r**3/5 - 195*r**2 + 309*r/5 + 18/5 = 0.
-6, -1/20, 1
Factor -q**4 - 32*q**3 - 222*q**2 + 544*q - 289.
-(q - 1)**2*(q + 17)**2
Factor 2*t**3/3 - 872*t**2/3 + 95048*t/3.
2*t*(t - 218)**2/3
Factor 15*u**3 - 21290*u**2 - 35515*u - 14210.
5*(u - 1421)*(u + 1)*(3*u + 2)
Factor 2*w**2 + 3990*w - 3992.
2*(w - 1)*(w + 1996)
Factor -3*y**3 - 42*y**2 + 204*y - 216.
-3*(y - 2)**2*(y + 18)
What is k in -k**5/8 + 15*k**4/2 - 1011*k**3/8 + 413*k**2 - 294*k = 0?
0, 1, 3, 28
Find a such that 8*a**5/9 + 116*a**4/9 + 416*a**3/9 + 20*a**2 = 0.
-9, -5, -1/2, 0
Let -p**3/5 - 32*p**2/5 - 271*p/5 - 48 = 0. What is p?
-16, -15, -1
Suppose 2*f**2/3 - 14*f/3 - 88/3 = 0. Calculate f.
-4, 11
Factor -f**2 + 4*f + 12.
-(f - 6)*(f + 2)
Let -8*z**2 + 28*z - 24 = 0. Calculate z.
3/2, 2
Solve -30*r**4 + 532*r**3 + 446*r**2/3 - 248*r/3 - 24 = 0 for r.
-1/3, 2/5, 18
Let 5*p**3 - 1410*p**2 - 4265*p - 2850 = 0. What is p?
-2, -1, 285
Find i, given that 2*i**5 - 12*i**4 - 96*i**3 - 148*i**2 - 66*i = 0.
-3, -1, 0, 11
Let 12*f**3 - 548*f**2 - 184*f = 0. Calculate f.
-1/3, 0, 46
Let 2*s**3/17 + 70*s**2/17 + 774*s/17 + 162 = 0. Calculate s.
-17, -9
Factor 4*z**5/3 + 316*z**4/3 + 2700*z**3 + 20412*z**2 - 52488*z.
4*z*(z - 2)*(z + 27)**3/3
Determine z so that -4*z**2 - 72*z - 260 = 0.
-13, -5
Factor 2*f**3/7 + 16*f**2/7 - 62*f/7 + 44/7.
2*(f - 2)*(f - 1)*(f + 11)/7
Solve 4*i**3 + 56*i**2 = 0 for i.
-14, 0
Determine p so that p**5/4 - 5*p**4/4 + 3*p**3/4 + 13*p**2/4 - 2*p - 3 = 0.
-1, 2, 3
Suppose -2*w**2/9 - 4216*w/9 - 2221832/9 = 0. What is w?
-1054
Factor -x**2 + 197*x - 196.
-(x - 196)*(x - 1)
Facto