 -3*a**2 - 8784*a - 6429888 = 0.
-1464
Suppose -i**3 + 2*i**2 + 20*i + 24 = 0. What is i?
-2, 6
Factor -5*d**5 - 35*d**4 - 50*d**3 + 10*d**2 + 55*d + 25.
-5*(d - 1)*(d + 1)**3*(d + 5)
Suppose -j**2/8 + 41*j/4 = 0. What is j?
0, 82
Factor -5*s**2 - 250*s - 3125.
-5*(s + 25)**2
Factor 4*z**3/9 + 140*z**2/9.
4*z**2*(z + 35)/9
What is u in 3*u**4 - 2970*u**3 + 980100*u**2 - 107811000*u = 0?
0, 330
Let 5*r**5/3 + 28*r**4/3 + 10*r**3 - 12*r**2 - 9*r = 0. Calculate r.
-3, -3/5, 0, 1
Suppose -14*p**2 - 18*p - 4 = 0. Calculate p.
-1, -2/7
Suppose 3*n**5 + 274*n**4 + 6436*n**3 + 8190*n**2 + 2025*n = 0. Calculate n.
-45, -1, -1/3, 0
Let z**3/4 + 35*z**2/2 - 73*z/4 - 71/2 = 0. What is z?
-71, -1, 2
Suppose 3*q**2 - 180*q + 513 = 0. Calculate q.
3, 57
Determine i, given that -3*i**5/4 - 35*i**4/4 + 109*i**3/2 + 40*i**2 = 0.
-16, -2/3, 0, 5
Factor 2*m**2/25 + 222*m/25 - 452/25.
2*(m - 2)*(m + 113)/25
Let -d**4/4 - 79*d**3/4 + 1763*d**2/4 - 9621*d/4 + 3969/2 = 0. Calculate d.
-98, 1, 9
Factor 2*c**5 + 4*c**4 - 58*c**3 + 84*c**2.
2*c**2*(c - 3)*(c - 2)*(c + 7)
Factor -3*t**4 - 814*t**3 - 54944*t**2 + 36992*t.
-t*(t + 136)**2*(3*t - 2)
Determine c so that 60*c**5 + 5091*c**4 - 5931*c**3 + 264*c**2 + 516*c = 0.
-86, -1/4, 0, 2/5, 1
Factor 4*b**4 + 124*b**3 - 259*b**2 + 164*b - 33.
(b - 1)*(b + 33)*(2*b - 1)**2
Factor -4*l**3/5 + 26*l**2/5 + 6*l.
-2*l*(l + 1)*(2*l - 15)/5
Let 5*s**3/4 - 9*s**2/2 + 21*s/4 - 2 = 0. Calculate s.
1, 8/5
Determine n, given that n**3 - 95*n**2 = 0.
0, 95
Factor -2*l**5 + 2*l**4 + 10*l**3 - 2*l**2 - 16*l - 8.
-2*(l - 2)**2*(l + 1)**3
What is j in j**4/6 + j**3/2 + j**2/6 - j/2 - 1/3 = 0?
-2, -1, 1
Factor 2*h**3 - 16*h**2 + 30*h.
2*h*(h - 5)*(h - 3)
Factor 3*n**2 - 129*n.
3*n*(n - 43)
What is y in -450*y**5/7 + 2370*y**4/7 - 1958*y**3/7 - 3650*y**2/7 + 1056*y/7 - 72/7 = 0?
-1, 2/15, 3
Let -128*x**3/5 + 904*x**2/5 - 1624*x/5 + 98/5 = 0. What is x?
1/16, 7/2
Determine d, given that 14*d**3 - 276*d**2 + 186*d + 76 = 0.
-2/7, 1, 19
Suppose -10*i**3 - 44*i**2 - 46*i - 12 = 0. What is i?
-3, -1, -2/5
Factor 4*s**3 + 4*s**2 - 200*s + 192.
4*(s - 6)*(s - 1)*(s + 8)
Factor -231*d**2 - 327*d - 72.
-3*(7*d + 8)*(11*d + 3)
Solve f**4 + 86*f**3 - 87*f**2 = 0.
-87, 0, 1
Factor 2*k**3/5 - 14*k**2/5 - 28*k/5 + 48.
2*(k - 6)*(k - 5)*(k + 4)/5
Find d such that -d**3/10 - 57*d**2/5 - 1566*d/5 + 3364/5 = 0.
-58, 2
Find h, given that -20*h**4 + 31645*h**3 - 134230*h**2 + 157820*h - 31560 = 0.
1/4, 2, 1578
Factor -q**3/6 - 19*q**2/6 + 11*q/3 + 20/3.
-(q - 2)*(q + 1)*(q + 20)/6
Let -5*z**2 + 100*z - 500 = 0. What is z?
10
What is f in -5*f**3 - 95*f**2 + 45*f + 855 = 0?
-19, -3, 3
Factor -q**2 + 3*q.
-q*(q - 3)
Factor 5*m**2 + 50*m - 55.
5*(m - 1)*(m + 11)
Factor 20*i**3 + 55*i**2 - 5*i - 70.
5*(i - 1)*(i + 2)*(4*i + 7)
Let -2*r**2 + 34*r - 140 = 0. Calculate r.
7, 10
Solve 6*m**2/5 + 14172*m/5 + 8368566/5 = 0 for m.
-1181
Determine v so that -2*v**5/5 - 4*v**4/5 + 12*v**3/5 + 8*v**2/5 - 26*v/5 + 12/5 = 0.
-3, -2, 1
Suppose -3*k**2/2 - 24*k - 189/2 = 0. Calculate k.
-9, -7
Factor -13*z**2/3 - 25*z/3 + 2/3.
-(z + 2)*(13*z - 1)/3
Factor 7*b**2/3 + 22*b/3 + 16/3.
(b + 2)*(7*b + 8)/3
Suppose -p**2 - 704*p = 0. What is p?
-704, 0
Let 3*y**5/4 + 51*y**4/4 + 123*y**3/2 + 90*y**2 = 0. Calculate y.
-10, -4, -3, 0
Find b such that -4*b**2 + 10748*b - 21480 = 0.
2, 2685
Let -12*y**5 - 56*y**4 - 20*y**3 + 56*y**2 + 32*y = 0. What is y?
-4, -1, -2/3, 0, 1
Factor -f**2/4 + 11*f/2 + 75/4.
-(f - 25)*(f + 3)/4
Let 2*s**5/3 + 148*s**4/3 + 2732*s**3/3 - 448*s**2/3 - 8510*s/3 - 5476/3 = 0. Calculate s.
-37, -1, 2
Factor -j**4/4 - j**3/4 + j**2/4 + j/4.
-j*(j - 1)*(j + 1)**2/4
Factor m**2 + m.
m*(m + 1)
Factor 2*o**3/7 - 46*o**2/7 + 310*o/7 - 650/7.
2*(o - 13)*(o - 5)**2/7
Find z, given that -4*z**2/3 + 400*z + 2416/3 = 0.
-2, 302
Factor 490*q**3/11 + 412*q**2/11 + 16*q/11.
2*q*(5*q + 4)*(49*q + 2)/11
Solve -2*r**2/11 - 6*r/11 + 20/11 = 0.
-5, 2
Factor 68*j**3 - 206*j**2 - 266*j + 8.
2*(j - 4)*(j + 1)*(34*j - 1)
Solve -2*v**5/17 + 10*v**4/17 - 14*v**3/17 - 2*v**2/17 + 16*v/17 - 8/17 = 0.
-1, 1, 2
Solve s**2 + 156*s + 1460 = 0.
-146, -10
Factor 27*l**5/4 + 219*l**4/2 + 24*l**3.
3*l**3*(l + 16)*(9*l + 2)/4
Suppose 3*y**4/5 + 162*y**3/5 + 609*y**2/5 + 90*y = 0. What is y?
-50, -3, -1, 0
Determine a so that 2*a**3/19 - 4*a**2/19 = 0.
0, 2
Factor 2*n**2/3 - 9212*n/3 + 10607618/3.
2*(n - 2303)**2/3
What is q in 14*q**2 + 206*q - 60 = 0?
-15, 2/7
Let 4*w**4 + 8*w**3 = 0. What is w?
-2, 0
Suppose r**4/5 + 3*r**3 + 56*r**2/5 + 12*r = 0. Calculate r.
-10, -3, -2, 0
Factor -3*n**2/2 - 63*n/4 + 33/4.
-3*(n + 11)*(2*n - 1)/4
Let -2*i**3/5 + 246*i**2/5 + 248*i/5 = 0. Calculate i.
-1, 0, 124
Factor -3*g**2 - 14442*g - 17380947.
-3*(g + 2407)**2
Suppose d**4/5 - 6*d**3/5 + 9*d**2/5 + 4*d/5 - 12/5 = 0. Calculate d.
-1, 2, 3
Let -2*c**5/5 + 16*c**4/5 + 24*c**3/5 - 52*c**2/5 - 22*c/5 + 36/5 = 0. Calculate c.
-2, -1, 1, 9
Factor -2*d**4 + 468*d**3 - 27842*d**2 + 54288*d - 26912.
-2*(d - 116)**2*(d - 1)**2
Determine t so that -125*t**3 - 355*t**2 + 60*t = 0.
-3, 0, 4/25
Determine r, given that 2*r**4 + 16*r**3 + 22*r**2 - 16*r - 24 = 0.
-6, -2, -1, 1
Solve -4*h**5/9 - 512*h**4/9 - 332*h**3/3 + 1544*h**2/9 + 4048*h/9 + 224 = 0 for h.
-126, -2, -1, 2
Solve 7057911*g**3 + 159201*g**2 + 1197*g + 3 = 0 for g.
-1/133
Let -25*f**4/7 + 435*f**3/7 - 1821*f**2/7 + 677*f/7 - 66/7 = 0. What is f?
1/5, 6, 11
Determine b so that 2*b**5/9 - 4*b**3 + 64*b**2/9 - 10*b/3 = 0.
-5, 0, 1, 3
Factor 4*j**5 + 28*j**4 + 16*j**3 - 48*j**2.
4*j**2*(j - 1)*(j + 2)*(j + 6)
Find j such that -j**4/6 + j**3 - 13*j**2/6 + 2*j - 2/3 = 0.
1, 2
Determine h so that -2*h**4/5 - 24*h**3 - 2484*h**2/5 - 19656*h/5 - 7938 = 0.
-21, -15, -3
Let r**2 - 113*r - 114 = 0. What is r?
-1, 114
Find v such that -2*v**5 + 4*v**4 - 2*v**3 = 0.
0, 1
Determine p, given that -p**2/5 + 6409*p/5 = 0.
0, 6409
Let 39*m**5 - 1881*m**4 - 1518*m**3 + 2322*m**2 + 1479*m - 441 = 0. Calculate m.
-1, 3/13, 1, 49
Solve 4*j**3 + 564*j**2 + 26508*j + 415292 = 0.
-47
Solve -2*k**3/7 - 106*k**2/7 + 218*k/7 - 110/7 = 0.
-55, 1
Suppose -3*j**4/7 - 732*j**3/7 + 3723*j**2/7 - 2988*j/7 = 0. What is j?
-249, 0, 1, 4
Determine p so that 36*p**3 + 332*p**2 + 72*p = 0.
-9, -2/9, 0
Suppose -q**5/2 - 3*q**4 + 5*q**3 + 26*q**2 - 105*q/2 + 25 = 0. What is q?
-5, 1, 2
Solve -4*j**5/3 + 4*j**4 + 44*j**3/3 - 4*j**2 - 40*j/3 = 0.
-2, -1, 0, 1, 5
Suppose 12*q**3 - 33*q**2 - 9*q = 0. Calculate q.
-1/4, 0, 3
Factor -3*b**3 + 18*b**2 - 27*b.
-3*b*(b - 3)**2
Determine b, given that 2*b**4/17 + 16*b**3/17 - 30*b**2/17 - 108*b/17 = 0.
-9, -2, 0, 3
Find w such that -8*w**4 - 11*w**3 + 37*w**2 - 9*w - 9 = 0.
-3, -3/8, 1
Factor 5*f**2 + 480*f - 485.
5*(f - 1)*(f + 97)
Find q, given that -q**4/4 + 44*q**3 - 7743*q**2/4 - 44*q + 1936 = 0.
-1, 1, 88
Factor -4*a**4 - 632*a**3 - 23652*a**2 + 104976*a.
-4*a*(a - 4)*(a + 81)**2
Determine c so that 2*c**4/5 + 182*c**3/5 - 2*c**2/5 - 182*c/5 = 0.
-91, -1, 0, 1
Factor -4*t**4 - 64*t**3 + 140*t**2 - 72*t.
-4*t*(t - 1)**2*(t + 18)
Factor 5*v**2 - 3570*v + 3565.
5*(v - 713)*(v - 1)
Let 2*j**5 + 6*j**4 + 2*j**3 - 6*j**2 - 4*j = 0. What is j?
-2, -1, 0, 1
Factor -66*d**2/17 + 74*d/17 - 8/17.
-2*(d - 1)*(33*d - 4)/17
Find v, given that -3*v**3/7 - 1593*v**2/7 - 1584*v/7 + 3180/7 = 0.
-530, -2, 1
Factor -3*t**3 - 246*t**2 - 483*t - 240.
-3*(t + 1)**2*(t + 80)
Solve -9*s**3 - 39*s**2/2 + 9*s/2 + 15 = 0.
-2, -1, 5/6
Solve -4*l**4 - 4*l**3 + 128*l**2 + 240*l = 0 for l.
-5, -2, 0, 6
Suppose -15*s**4 + 39*s**3 - 27*s**2 - 3*s + 6 = 0. What is s?
-2/5, 1
Let w**3 + 138*w**2 + 4896*w + 9248 = 0. What is w?
-68, -2
Factor 75*v**4/2 + 5*v**3 + v**2/6.
v**2*(15*v + 1)**2/6
Let -3*i**3/5 + 12*i**2 - 288*i/5 = 0. What is i?
0, 8, 12
Let -3*f**5/4 + 111*f**4/4 - 207*f**3/4 - 111*f**2/4 + 105*f/2 = 0. What is f?
-1, 0, 1, 2, 35
Determine y, given that -66*y**2/7 + 4*y/7 = 0.
0, 2/33
Determine h so that 2*h**4/3 + 34*h**3/3 + 40*h**2 = 0.
-12, -5, 0
Factor 3*m**4/5 - 21*m**3/5 + 18*m**2/5 + 96*m/5 - 96/5.
3*(m - 4)**2*(m - 1)*(m + 2)/5
Determine o, given that -o**5 - 2*o**4 + 2*o**3 + 4*o**2 - o - 2 = 0.
-2, -1, 1
Factor -7*u**3/5 - 354*u**2/5 - 197*u/5 + 30.
-(u + 1)*(u + 50)*(7*u - 3)/5
Let 28*x**5 + 274*x**4 + 412*x**3 + 82*x**2 - 116*x - 32 = 0. What is x?
-8, -1, -2/7,