, 2/5
Suppose i**5/7 + 3*i**4 + 71*i**3/7 + 51*i**2/7 = 0. Calculate i.
-17, -3, -1, 0
Determine o, given that -o**4/7 - 15*o**3/7 - 9*o**2 - 85*o/7 - 36/7 = 0.
-9, -4, -1
Factor 2*o**4 - 16*o**3 + 12*o**2 + 16*o - 14.
2*(o - 7)*(o - 1)**2*(o + 1)
Factor i**3 - 4*i**2 - 28*i - 32.
(i - 8)*(i + 2)**2
Factor 18*m**4 - 22*m**3 - 32*m**2 + 8*m.
2*m*(m - 2)*(m + 1)*(9*m - 2)
Suppose -g**3/4 + 23*g**2/4 - 40*g + 75 = 0. What is g?
3, 10
Factor -32*g**5 - 80*g**4 - 66*g**3 - 20*g**2 - 2*g.
-2*g*(g + 1)**2*(4*g + 1)**2
Let 2*r**3/3 + 20*r**2 - 22*r - 124/3 = 0. Calculate r.
-31, -1, 2
Solve 4*d**3/3 + 44*d**2/3 - 56*d/3 - 32 = 0.
-12, -1, 2
Factor 2*r**3 + 94*r**2 + 180*r.
2*r*(r + 2)*(r + 45)
Factor h**4/3 - 43*h**3/3 + 225*h**2 - 1539*h + 3888.
(h - 16)*(h - 9)**3/3
Factor r**2/3 - 16*r/3 + 21.
(r - 9)*(r - 7)/3
Determine i so that -3*i**5 - 5*i**4 + 23*i**3 - 19*i**2 + 4*i = 0.
-4, 0, 1/3, 1
What is d in -d**2 + 424*d = 0?
0, 424
Factor -3*p**3/2 - 396*p**2 - 34848*p - 1022208.
-3*(p + 88)**3/2
What is f in -896126*f**2 + 3036*f - 18/7 = 0?
3/1771
Solve -4*y**3 + 36*y**2 - 80*y + 48 = 0.
1, 2, 6
Find z, given that z**3 + 4*z**2 + 3*z = 0.
-3, -1, 0
Factor -l**3 - 46*l**2 - 125*l + 172.
-(l - 1)*(l + 4)*(l + 43)
Factor 4*d**4/9 + 32*d**3/9 + 52*d**2/9 + 8*d/3.
4*d*(d + 1)**2*(d + 6)/9
Factor 2*x**3/9 + 8*x**2/9 - 2*x/9 - 8/9.
2*(x - 1)*(x + 1)*(x + 4)/9
Factor -f**3/2 - 3*f**2/2.
-f**2*(f + 3)/2
Let -f**2 - 486*f - 59049 = 0. What is f?
-243
Factor -14*z**3/11 - 114*z**2/11 - 16*z/11.
-2*z*(z + 8)*(7*z + 1)/11
Find u, given that 2*u**2 + 4112*u + 4110 = 0.
-2055, -1
Suppose -3*b**4/5 - 51*b**3/5 - 183*b**2/5 + 351*b/5 + 486/5 = 0. What is b?
-9, -1, 2
Let a**3/4 - 109*a**2 - 875*a/4 - 219/2 = 0. What is a?
-1, 438
Factor -8*n**2/9 + 50*n/3 + 38/9.
-2*(n - 19)*(4*n + 1)/9
Let -3*a**2/5 + 534*a/5 - 23763/5 = 0. Calculate a.
89
Factor -5*h**2 + 240*h - 1075.
-5*(h - 43)*(h - 5)
Factor 12*r**2/7 - 452*r/7 - 2000/7.
4*(r + 4)*(3*r - 125)/7
Suppose -4*p**4 - 156*p**3 = 0. What is p?
-39, 0
Suppose -18*l**4 + 114*l**3 - 325*l**2/2 - 114*l + 361/2 = 0. What is l?
-1, 1, 19/6
Solve 2*v**5/19 - 26*v**4/19 + 16*v**3/19 + 440*v**2/19 + 576*v/19 = 0.
-2, 0, 8, 9
Factor -20*m**3/7 - 1244*m**2/7 - 19468*m/7 - 3844/7.
-4*(m + 31)**2*(5*m + 1)/7
Find f, given that 2*f**4/17 + 444*f**3/17 + 32856*f**2/17 + 810448*f/17 = 0.
-74, 0
Solve -18*i**2 + 708*i/5 + 96/5 = 0.
-2/15, 8
What is c in c**4/5 - 47*c**3/5 + 91*c**2/5 - 9*c = 0?
0, 1, 45
Solve -5*n**5 + 85*n**4 + 190*n**3 + 10*n**2 - 185*n - 95 = 0 for n.
-1, 1, 19
Find m, given that 5*m**5 - 5*m**4 - 55*m**3 + 145*m**2 - 130*m + 40 = 0.
-4, 1, 2
Find l such that 6*l**2/5 + 33*l/5 + 42/5 = 0.
-7/2, -2
Determine g so that 5*g**3 - 30*g**2 + 25*g = 0.
0, 1, 5
Suppose -3*l**4/2 + 591*l**3/2 - 1755*l**2/2 + 1749*l/2 - 291 = 0. What is l?
1, 194
Determine f, given that -f**4/2 - f**3 + 2*f**2 + 4*f = 0.
-2, 0, 2
Factor 2*l**2/7 + 26*l/7.
2*l*(l + 13)/7
Factor 5*r**2 - 105*r + 400.
5*(r - 16)*(r - 5)
Let n**4 + 11*n**3 - 3*n**2 - 35*n - 22 = 0. What is n?
-11, -1, 2
Suppose 2*m**2/9 + 8*m/9 = 0. Calculate m.
-4, 0
Factor 14*w**4 - 32*w**3 + 22*w**2 - 4*w.
2*w*(w - 1)**2*(7*w - 2)
Determine f, given that 5*f**4 - 70*f**3 + 365*f**2 - 840*f + 720 = 0.
3, 4
Factor 2*o**2 - 1028*o - 1030.
2*(o - 515)*(o + 1)
Find m, given that 2*m**4/9 + 8*m**3/9 - 26*m**2/9 - 80*m/9 + 32/3 = 0.
-4, 1, 3
Factor -3*l**2/4 + 37*l/4 + 13/2.
-(l - 13)*(3*l + 2)/4
Factor j**3/7 - 8*j**2/7 - 31*j/7 - 22/7.
(j - 11)*(j + 1)*(j + 2)/7
Factor s**2/7 - 74*s/7 + 195.
(s - 39)*(s - 35)/7
Determine w so that 2*w**2/3 + 14*w/3 - 20 = 0.
-10, 3
Determine m, given that m**3/8 + 15*m**2/8 + 27*m/8 - 243/8 = 0.
-9, 3
Factor -2*f**2/5 + 302*f/5 + 304/5.
-2*(f - 152)*(f + 1)/5
Let 3*h**3/7 + 36*h**2/7 + 108*h/7 = 0. Calculate h.
-6, 0
Let 2*i**4 + 2232*i**3 + 934092*i**2 + 173741112*i + 12118442562 = 0. What is i?
-279
Suppose -3*f**5 + 75*f**4 - 486*f**3 + 324*f**2 + 3240*f = 0. What is f?
-2, 0, 6, 15
Factor -3*z**3 - 12*z**2.
-3*z**2*(z + 4)
What is u in -100*u**2/7 - 440*u/7 - 484/7 = 0?
-11/5
Factor 4*c**4 - 344*c**3 - 704*c**2.
4*c**2*(c - 88)*(c + 2)
Determine k so that -275*k**2 + 570*k - 40 = 0.
4/55, 2
Factor -2*w**3 + 36*w**2 + 2*w - 36.
-2*(w - 18)*(w - 1)*(w + 1)
Find o such that -o**3/9 - 5*o**2/9 + 17*o/9 + 7/3 = 0.
-7, -1, 3
Determine q so that 2*q**5 + 32*q**4/7 - 6*q**3/7 - 32*q**2/7 - 8*q/7 = 0.
-2, -1, -2/7, 0, 1
Factor -4*r**2 + 1072*r - 71824.
-4*(r - 134)**2
Factor 3*m**4 + 45*m**3 + 69*m**2 - 945*m - 972.
3*(m - 4)*(m + 1)*(m + 9)**2
Factor n**3/4 - 403*n**2/4 - 101*n.
n*(n - 404)*(n + 1)/4
Let -413*h**4/4 + 415*h**3/4 + 206*h**2 - h = 0. Calculate h.
-1, 0, 2/413, 2
Factor -2*p**2/11 + 224*p/11 + 690/11.
-2*(p - 115)*(p + 3)/11
Factor -2*b**3 + 24*b - 32.
-2*(b - 2)**2*(b + 4)
Factor -2*f**3/5 - 12*f**2 - 54*f/5 + 116/5.
-2*(f - 1)*(f + 2)*(f + 29)/5
Factor l**2/10 + 21*l/5 + 117/10.
(l + 3)*(l + 39)/10
Factor -4*t**2/3 + 110*t/3 + 56/3.
-2*(t - 28)*(2*t + 1)/3
Factor 2*k**4/7 - 3400*k**3/7 + 3398*k**2/7.
2*k**2*(k - 1699)*(k - 1)/7
Determine j so that 21*j**3 + 439*j**2 + 378*j - 40 = 0.
-20, -1, 2/21
Find n, given that -20*n**5 + 312*n**4 + 2548*n**3 + 5688*n**2 + 4528*n + 1056 = 0.
-3, -2, -1, -2/5, 22
Factor -3*g**4/2 - 81*g**3 - 1134*g**2 + 3969*g + 250047/2.
-3*(g - 9)*(g + 21)**3/2
Solve 4*a**5 + 716*a**4 + 31680*a**3 - 32400*a**2 = 0.
-90, 0, 1
Suppose 2*r**2/11 + 84*r/11 + 82/11 = 0. What is r?
-41, -1
Factor m**2/4 + 37*m/4.
m*(m + 37)/4
Let 2*s**4 + 22*s**3 - 28*s**2 - 48*s = 0. Calculate s.
-12, -1, 0, 2
Find i such that -3*i**3/7 - 345*i**2 - 484809*i/7 + 487227/7 = 0.
-403, 1
Determine b, given that 3*b**2 - 13866*b + 16022163 = 0.
2311
Solve 10*w**5 + 482*w**4 + 6736*w**3 + 22448*w**2 + 23584*w + 3872 = 0.
-22, -2, -1/5
Solve 2*u**4/9 - 38*u**3/9 + 4*u**2 = 0 for u.
0, 1, 18
Determine q so that -2*q**5 - 12*q**4 - 22*q**3 - 12*q**2 = 0.
-3, -2, -1, 0
Factor -2*f**2/17 + 22*f/17 + 52/17.
-2*(f - 13)*(f + 2)/17
Solve -l**5/2 - 119*l**4/2 - 117*l**3/2 + 119*l**2/2 + 59*l = 0.
-118, -1, 0, 1
Find p such that 3*p**5 - 75*p**4 + 522*p**3 - 1146*p**2 + 1011*p - 315 = 0.
1, 7, 15
Suppose 2*j**3 - 2*j**2 - 32*j + 32 = 0. Calculate j.
-4, 1, 4
Factor -p**2 - 53*p + 54.
-(p - 1)*(p + 54)
Factor -4*y**2 + 284*y - 280.
-4*(y - 70)*(y - 1)
Factor 5*q**3 - 20*q**2.
5*q**2*(q - 4)
Factor -44*w**3 - 476*w**2 - 352*w + 80.
-4*(w + 1)*(w + 10)*(11*w - 2)
Determine r so that -2*r**3 + 212*r**2 - 5618*r = 0.
0, 53
Factor 50*z**5/19 - 720*z**4/19 + 2732*z**3/19 - 1008*z**2/19 + 98*z/19.
2*z*(z - 7)**2*(5*z - 1)**2/19
Determine d so that d**4 + 8*d**3 - 84*d**2 = 0.
-14, 0, 6
Factor -32*t**3/7 - 4*t**2 + 60*t/7.
-4*t*(t - 1)*(8*t + 15)/7
Determine s, given that 2*s**4/9 - 14*s**3/3 - 260*s**2/9 = 0.
-5, 0, 26
Factor -4*m**3 + 1020*m**2 + 1024*m.
-4*m*(m - 256)*(m + 1)
Suppose 3*d**5 - 39*d**4 + 90*d**3 + 366*d**2 - 861*d + 441 = 0. What is d?
-3, 1, 7
Factor 5*k**2 - 75*k - 3230.
5*(k - 34)*(k + 19)
Determine w, given that w**5/5 + 39*w**4/5 - 43*w**3/5 - 23*w**2 + 198*w/5 - 16 = 0.
-40, -2, 1
Factor 5*c**2 + 90*c + 85.
5*(c + 1)*(c + 17)
Solve 5*o**2 + 1630*o - 1635 = 0 for o.
-327, 1
Let 2*m**3 + 14*m**2 + 28*m + 16 = 0. What is m?
-4, -2, -1
Suppose -9*m**5/5 - 74*m**4/5 - 41*m**3 - 48*m**2 - 116*m/5 - 16/5 = 0. What is m?
-4, -2, -1, -2/9
Let 12*x**3 + 177*x**2/2 - 261*x - 675/2 = 0. Calculate x.
-75/8, -1, 3
Let -320*u**4 - 9840*u**3 - 7245*u**2 - 1350*u = 0. What is u?
-30, -3/8, 0
Find a, given that 3*a**4 - 150*a**3 = 0.
0, 50
Suppose 237276*i**3 + 1241136*i**2 + 2164032*i + 1257728 = 0. Calculate i.
-68/39
Factor 15*r**4 + 6*r**3 - 45*r**2 + 12*r + 12.
3*(r - 1)**2*(r + 2)*(5*r + 2)
Determine h, given that h**3/4 - 61*h**2 + 3721*h = 0.
0, 122
Solve -2*o**5 + 30*o**4 + 332*o**3 + 796*o**2 + 726*o + 230 = 0.
-5, -1, 23
What is f in 5*f**4 + 50*f**3 + 165*f**2 + 200*f + 80 = 0?
-4, -1
Determine u so that -u**3 + 3*u**2 + 4*u = 0.
-1, 0, 4
Find i such that -i**4 + 120*i**3 + 1275*i**2 + 3250*i = 0.
-5, 0, 130
Factor 4*d**5 - 120*d**4 + 1108*d**3 - 3120*d**2 + 2704*d.
4*d*(d - 13)**2*(d - 2)**2
Determine y, given that -4*y**2/3 - 312*y + 940/3 = 0.
-235, 1
Determine h, given that 3*h**3/2 - 27*h**2 + 99*h/2 - 24 = 0.
1, 16
Determine b s