 74
Find a, given that 2*a**3/11 + 6*a**2/11 - 72*a/11 + 64/11 = 0.
-8, 1, 4
Let -2*n**2/5 + 82*n/5 - 16 = 0. What is n?
1, 40
Suppose 4*s**4/7 - 13*s**3/7 - 7*s**2 + 73*s/7 - 15/7 = 0. What is s?
-3, 1/4, 1, 5
Factor -3*u**2 + 744*u - 741.
-3*(u - 247)*(u - 1)
Determine k so that k**3/6 - 3*k**2/2 - 8*k - 26/3 = 0.
-2, 13
Factor g**2 - 222*g - 2320.
(g - 232)*(g + 10)
Factor -m**3/2 - 318*m**2 + 637*m/2.
-m*(m - 1)*(m + 637)/2
Factor 2*i**2/9 + 2*i/9.
2*i*(i + 1)/9
Factor -2*a**3/3 + 34*a**2/3 + 77*a/2 + 30.
-(a - 20)*(2*a + 3)**2/6
Factor -v**2/8 + 33*v/8 - 4.
-(v - 32)*(v - 1)/8
Suppose -75*m**5/4 - 57*m**4 + 33*m**3/2 + 57*m**2 + 9*m/4 = 0. Calculate m.
-3, -1, -1/25, 0, 1
Factor 14*u**3 - 122*u**2 + 160*u + 56.
2*(u - 7)*(u - 2)*(7*u + 2)
Factor p**4/2 - 1265*p**3/2 + 199077*p**2 + 601666*p + 401956.
(p - 634)**2*(p + 1)*(p + 2)/2
Determine q so that -q**2/4 - 356*q - 126736 = 0.
-712
Let 5*k**3 + 25*k**2 - 10*k - 120 = 0. What is k?
-4, -3, 2
Let -4*r**5/3 - 346*r**4/3 - 9916*r**3/3 - 92336*r**2/3 + 53824*r/3 + 48778/3 = 0. Calculate r.
-29, -1/2, 1
What is u in -23*u**2 - 67*u + 6 = 0?
-3, 2/23
Factor -2*x**3/3 - 12*x**2 + 2*x/3 + 12.
-2*(x - 1)*(x + 1)*(x + 18)/3
Factor -42*m**3 + 584*m**2 - 1330*m - 132.
-2*(m - 11)*(m - 3)*(21*m + 2)
What is a in -a**4/7 + 24*a**3/7 + 5*a**2 - 258*a/7 + 200/7 = 0?
-4, 1, 2, 25
Factor 9*s**4 + 228*s**3 + 292*s**2 + 96*s.
s*(s + 24)*(3*s + 2)**2
Let 20*o**3 - 428*o**2 + 168*o = 0. Calculate o.
0, 2/5, 21
Determine w, given that -4*w**4 - 64*w**3 - 360*w**2 - 864*w - 756 = 0.
-7, -3
Suppose -10*z**5/9 + 46*z**4/9 - 70*z**3/9 + 34*z**2/9 + 8*z/9 - 8/9 = 0. What is z?
-2/5, 1, 2
Suppose 72*o**2 - 507*o + 180 = 0. What is o?
3/8, 20/3
Solve 3*u**5 - 687*u**4 + 39672*u**3 - 38988*u**2 = 0 for u.
0, 1, 114
Let -15*m**4 + 51*m**3 - 9*m**2 - 27*m = 0. What is m?
-3/5, 0, 1, 3
Suppose 9*f**4 - 24*f**3 - 123*f**2 + 90*f = 0. What is f?
-3, 0, 2/3, 5
Factor -3*s**4 - 9*s**3 + 60*s**2 + 144*s - 192.
-3*(s - 4)*(s - 1)*(s + 4)**2
Let -2*k**2/5 - 4*k + 342/5 = 0. Calculate k.
-19, 9
Factor 5*p**2 - 25*p.
5*p*(p - 5)
Factor 3*z**2/5 - 48*z/5 - 156.
3*(z - 26)*(z + 10)/5
Find m, given that 4*m**4 - 8*m**3 - 188*m**2 - 528*m - 432 = 0.
-3, -2, 9
Suppose -2*h**3 + 46*h**2 + 496*h = 0. Calculate h.
-8, 0, 31
Factor 2*b**2/21 - 340*b/21 - 464/7.
2*(b - 174)*(b + 4)/21
What is p in -3*p**3 + 20*p**2 - 12*p = 0?
0, 2/3, 6
Suppose -4*m**4 - 33*m**3 - 68*m**2 - 15*m = 0. What is m?
-5, -3, -1/4, 0
Factor -z**5 - 2*z**4 + 4*z**3 + 2*z**2 - 3*z.
-z*(z - 1)**2*(z + 1)*(z + 3)
Determine l, given that 5*l**2/3 + 20*l/3 + 20/3 = 0.
-2
Find u such that u**5/2 + 27*u**4/4 - 24*u**3 - 265*u**2/4 - 36*u = 0.
-16, -1, 0, 9/2
Suppose -z**5/5 - 61*z**4/5 + 38*z**3 - 128*z**2/5 = 0. What is z?
-64, 0, 1, 2
Find n, given that 3*n**4 + 21*n**3 - 219*n**2 + 195*n = 0.
-13, 0, 1, 5
Factor -2*p**3 + 352*p**2 + 2912*p + 5888.
-2*(p - 184)*(p + 4)**2
Suppose -3*f**4/7 - 54*f**3/7 - 183*f**2/7 - 216*f/7 - 12 = 0. Calculate f.
-14, -2, -1
Factor b**3/2 - 265*b**2/2 + 524*b - 522.
(b - 261)*(b - 2)**2/2
Determine q so that q**5/3 - 4*q**3/3 + 2*q**2/3 + q - 2/3 = 0.
-2, -1, 1
What is x in -5*x**4/3 + 25*x**3 + 1085*x**2/3 - 25*x - 360 = 0?
-9, -1, 1, 24
What is z in -8*z**2/5 - 308*z/5 + 156/5 = 0?
-39, 1/2
Determine g, given that -7*g**3 + 37*g**2 + 88*g - 28 = 0.
-2, 2/7, 7
Find x such that 9*x**5 + 16*x**4 - 4*x**3 = 0.
-2, 0, 2/9
Find w such that -2*w**5/5 - 8*w**4 - 258*w**3/5 - 428*w**2/5 + 1064*w/5 + 2352/5 = 0.
-7, -6, -2, 2
Factor -4*y**2 + 64*y + 68.
-4*(y - 17)*(y + 1)
Factor -5*p**3 + 2790*p**2 - 391980*p + 772840.
-5*(p - 278)**2*(p - 2)
Factor p**2/3 + 149*p/3 - 302/3.
(p - 2)*(p + 151)/3
Factor 5*f**2 + 20*f.
5*f*(f + 4)
Find p, given that -274*p**3/7 - 278*p**2/7 + 544*p/7 + 8/7 = 0.
-2, -2/137, 1
Find r such that 990*r**5 - 4144*r**4 + 728*r**3 + 32*r**2 = 0.
-2/55, 0, 2/9, 4
Determine j so that -2*j**5 + 68*j**4 - 476*j**3 + 632*j**2 + 478*j - 700 = 0.
-1, 1, 2, 7, 25
Suppose -3150*w**2 + 1571*w/2 + 1/2 = 0. What is w?
-1/1575, 1/4
Suppose 2*q**2 + 94*q - 196 = 0. Calculate q.
-49, 2
Factor 3*y**2 + 168*y + 477.
3*(y + 3)*(y + 53)
Solve -3*j**3 - 228*j**2 - 876*j - 864 = 0 for j.
-72, -2
Determine c so that 2*c**2 - 266*c - 268 = 0.
-1, 134
Suppose 21*c**2 - 5256*c + 1500 = 0. What is c?
2/7, 250
Suppose -3*g**2/5 + 18*g/5 = 0. Calculate g.
0, 6
Factor -i**3/5 + 7*i**2/5 + i/5 - 7/5.
-(i - 7)*(i - 1)*(i + 1)/5
Determine x so that -5*x**2/2 - 230*x + 1425/2 = 0.
-95, 3
Solve -8*h**5/11 + 246*h**4/11 + 94*h**3/11 - 984*h**2/11 - 248*h/11 = 0 for h.
-2, -1/4, 0, 2, 31
Suppose k**5 - 14*k**4 + 56*k**3 - 16*k**2 - 240*k + 288 = 0. Calculate k.
-2, 2, 6
Let -2*r**4/9 + 4*r**3/9 = 0. What is r?
0, 2
Factor -2*p**2/7 - 152*p/7 - 438/7.
-2*(p + 3)*(p + 73)/7
Let 2*c**2/7 + 66*c/7 + 180/7 = 0. Calculate c.
-30, -3
Factor 2*c**4 + 14*c**3 - 28*c**2 - 96*c.
2*c*(c - 3)*(c + 2)*(c + 8)
Solve -v**2/4 + 245*v/2 - 60025/4 = 0 for v.
245
Find h such that h**2/4 - 455*h/4 = 0.
0, 455
Let b**3/10 + 11*b**2/10 = 0. What is b?
-11, 0
Determine b, given that 4*b**5 + 4*b**4 - 120*b**3 - 128*b**2 + 640*b = 0.
-4, 0, 2, 5
Find t, given that -2*t**4/7 + 12*t**3/7 + 62*t**2/7 - 24*t - 576/7 = 0.
-3, 4, 8
Find s such that s**2 + 148*s + 147 = 0.
-147, -1
Factor 2*v**2 + 22*v + 60.
2*(v + 5)*(v + 6)
What is x in -x**5 - 49*x**4 - 666*x**3 - 1538*x**2 + 667*x + 1587 = 0?
-23, -3, -1, 1
Solve -3*t**3 + 129*t**2 + 3*t - 129 = 0 for t.
-1, 1, 43
Determine j so that -3*j**2 - 51696*j - 222706368 = 0.
-8616
Solve -5*x**2 + 70*x - 245 = 0.
7
Determine y so that -2*y**5 + 4*y**4 + 8*y**3 - 4*y**2 - 6*y = 0.
-1, 0, 1, 3
Factor -3*v**3/2 - 3*v**2/2 + 3*v.
-3*v*(v - 1)*(v + 2)/2
Factor -6*g**3 - 28*g**2 + 154*g - 48.
-2*(g - 3)*(g + 8)*(3*g - 1)
Find z, given that z**3/8 + 59*z**2/2 = 0.
-236, 0
Factor -2*q**2 - 106*q + 336.
-2*(q - 3)*(q + 56)
Suppose -6*f**2 - 127*f/2 + 55/2 = 0. Calculate f.
-11, 5/12
Solve 3*z**4 + 12*z**3 - 15*z**2 = 0.
-5, 0, 1
Factor x**3/8 + 25*x**2/4 - 51*x/8.
x*(x - 1)*(x + 51)/8
Solve 3*p**3 - 21*p**2 + 45*p - 27 = 0 for p.
1, 3
Factor 3*u**4/2 - 9*u**3/2 - 99*u**2/2 + 105*u/2.
3*u*(u - 7)*(u - 1)*(u + 5)/2
Factor 6*o**4/5 + 396*o**3/5 - 162*o**2 + 408*o/5.
6*o*(o - 1)**2*(o + 68)/5
Suppose -y**5/3 - 2*y**4/3 + y**3 + 4*y**2/3 - 4*y/3 = 0. What is y?
-2, 0, 1
Determine x so that -2*x**4 + 8*x**3 - 4*x**2 - 8*x + 6 = 0.
-1, 1, 3
Factor 2*d**2/9 - 128*d/3 + 382/9.
2*(d - 191)*(d - 1)/9
Factor -j**3/8 - 21*j**2/8 - 27*j/2.
-j*(j + 9)*(j + 12)/8
Factor 2*a**3/7 + 12*a**2/7 + 16*a/7.
2*a*(a + 2)*(a + 4)/7
Suppose -4*r**2 - 144*r - 1296 = 0. Calculate r.
-18
Let -2*r**4/11 + 14*r**3/11 + 8*r**2 = 0. Calculate r.
-4, 0, 11
Suppose 2*i**3/7 - 6*i**2/7 + 8/7 = 0. What is i?
-1, 2
Factor 12*j**3 + 1548*j**2 + 1539*j + 384.
3*(j + 128)*(2*j + 1)**2
Factor 11*l**3/6 - 6*l**2 - 35*l/6 + 2.
(l - 4)*(l + 1)*(11*l - 3)/6
Factor -f**2/6 - 33*f/2 - 1120/3.
-(f + 35)*(f + 64)/6
Factor -4*m**2/7 + 28*m - 376/7.
-4*(m - 47)*(m - 2)/7
Factor 3*j**4/7 + 15*j**3/7 - 51*j**2/7 - 9*j.
3*j*(j - 3)*(j + 1)*(j + 7)/7
Suppose 2*q**5 + 268*q**4 + 9224*q**3 + 15312*q**2 - 69696*q = 0. What is q?
-66, -4, 0, 2
Factor -v**3 - 16*v**2 + 36*v.
-v*(v - 2)*(v + 18)
Factor -3*z**3 + 3393*z**2 + 6795*z + 3399.
-3*(z - 1133)*(z + 1)**2
Factor m**2/9 + 51*m + 458/9.
(m + 1)*(m + 458)/9
Determine f so that -2*f**5/11 - 48*f**4/11 - 32*f**3 - 52*f**2 + 1890*f/11 + 196 = 0.
-11, -7, -1, 2
Factor 5*w**2 + 1155*w + 5650.
5*(w + 5)*(w + 226)
Factor 2*k**3/5 - 2*k**2/5 - 16*k + 224/5.
2*(k - 4)**2*(k + 7)/5
Factor 4*n**2/5 + 12*n/5.
4*n*(n + 3)/5
Factor d**3 - 12*d**2 - 64*d.
d*(d - 16)*(d + 4)
Factor 3*p**4 + 45*p**3 + 252*p**2 + 624*p + 576.
3*(p + 3)*(p + 4)**3
Factor 4*f**4 + 80*f**3 + 308*f**2 - 872*f + 480.
4*(f - 1)**2*(f + 10)*(f + 12)
Solve -w**3 + 26*w**2 - 48*w = 0 for w.
0, 2, 24
Determine j, given that 5*j**3 + 120*j**2 + 865*j + 1650 = 0.
-11, -10, -3
Factor -5*k**2 + 75*k + 80.
-5*(k - 16)*(k + 1)
Factor -2*q**2/9 + 220*q/9 - 218/9.
-2*(q - 109)*(q - 1)/9
Factor 2*r**2/3 + 1564*r + 917286.
2*(r + 1173)**2/3
Solve -7*p**5/6 + 3*p**4 + p**3/3 - 4*p**2 + 5*p/6 + 1 = 0.
-1, -3/7, 1, 2
Determine c, given that -7*c**4/4 + 365*c**3/2 + 1269*c**2/4 + 80*c - 53 = 0.
-1, 2/7, 106
