r 405*d**3/4 + 117*d**2/4 - 34*d - 12.
(5*d - 3)*(9*d + 4)**2/4
What is p in p**2/2 + 275*p + 75625/2 = 0?
-275
What is j in 947*j**3/4 - 236*j**2 - 1897*j/4 - 3/2 = 0?
-1, -3/947, 2
Factor 2*u**3 - 1522*u**2 + 291830*u - 861846.
2*(u - 379)**2*(u - 3)
Let -g**4 - 50*g**3 + 108*g**2 + 200*g - 416 = 0. Calculate g.
-52, -2, 2
What is w in 36*w**5 - 28*w**4 - 224*w**3 + 96*w**2 + 320*w + 64 = 0?
-2, -1, -2/9, 2
Factor -j**4 + 4*j**3 + 19*j**2 + 14*j.
-j*(j - 7)*(j + 1)*(j + 2)
Determine p, given that -5*p**4 + 60*p**3 - 175*p**2 - 60*p + 180 = 0.
-1, 1, 6
Determine u, given that -3*u**5/4 + 15*u**4/4 - 21*u**3/4 + 9*u**2/4 = 0.
0, 1, 3
Factor -8*d**3 + 138*d**2 - 34*d.
-2*d*(d - 17)*(4*d - 1)
Solve -n**2/4 + 15*n/4 - 7/2 = 0.
1, 14
Let -2*m**4/13 + 14*m**3/13 - 28*m**2/13 + 16*m/13 = 0. Calculate m.
0, 1, 2, 4
Suppose 2*l**2/5 - 6*l/5 = 0. What is l?
0, 3
Factor 5*i**4/6 - 35*i**3/6 + 5*i**2.
5*i**2*(i - 6)*(i - 1)/6
Determine i, given that -5*i**4 + 45*i**3 - 120*i**2 + 80*i = 0.
0, 1, 4
Let 9*s**5/5 - 6*s**4/5 - 9*s**3/5 + 6*s**2/5 = 0. What is s?
-1, 0, 2/3, 1
Determine i so that -75*i**4 + 222*i**3 - 141*i**2 - 6*i = 0.
-1/25, 0, 1, 2
Solve -5*y**3 + 80*y**2 = 0.
0, 16
Factor -2*x**5/11 - 1398*x**4/11 - 366100*x**3/11 - 42507500*x**2/11 - 1832906250*x/11 + 1875781250/11.
-2*(x - 1)*(x + 175)**4/11
Let -2*k**3/19 - 50*k**2/19 - 48*k/19 = 0. What is k?
-24, -1, 0
Solve 4*a**4 + 156*a**3 + 292*a**2 - 156*a - 296 = 0 for a.
-37, -2, -1, 1
Factor f**3/2 + 5*f**2/2 - 11*f + 8.
(f - 2)*(f - 1)*(f + 8)/2
Factor k**3/3 + 56*k**2/3 - 115*k/3 + 58/3.
(k - 1)**2*(k + 58)/3
Find x, given that 4*x**4 - 300*x**3 + 4084*x**2 - 18564*x + 23128 = 0.
2, 7, 59
Factor -s**4/2 - 16*s**3 + 403*s**2/2 - 353*s + 168.
-(s - 8)*(s - 1)**2*(s + 42)/2
What is c in c**5/5 - 8*c**4/5 + 4*c**3/5 + 22*c**2/5 - c - 14/5 = 0?
-1, 1, 2, 7
Let -2*v**3/3 - 54*v**2 - 1216*v - 14440/3 = 0. Calculate v.
-38, -5
Determine w so that 5*w**4 - 50*w**3 - 35*w**2 + 980*w = 0.
-4, 0, 7
Find x such that -147*x**3/4 - 651*x**2/4 + 102*x - 15 = 0.
-5, 2/7
Factor p**5/2 - 39*p**4/2 + 179*p**3/2 - 313*p**2/2 + 120*p - 34.
(p - 34)*(p - 2)*(p - 1)**3/2
Solve -5*f**3 - 55*f**2 + 130*f = 0.
-13, 0, 2
Let -u**2 - 5538*u - 7667361 = 0. Calculate u.
-2769
Let 7*f**4/5 - 303*f**3/5 + 667*f**2/5 - 453*f/5 + 82/5 = 0. What is f?
2/7, 1, 41
Suppose f**4 - 242*f**3 + 240*f**2 + 242*f - 241 = 0. Calculate f.
-1, 1, 241
Factor 2*l**2/9 - 196*l/9 + 4802/9.
2*(l - 49)**2/9
Let -4*x**2 - 8672*x - 8668 = 0. What is x?
-2167, -1
Factor m**4/4 - 5*m**3 + 71*m**2/2 - 105*m + 441/4.
(m - 7)**2*(m - 3)**2/4
Factor 4*s**3/7 + 636*s**2/7 - 4*s/7 - 636/7.
4*(s - 1)*(s + 1)*(s + 159)/7
Let -350*a**5 + 33070*a**4 + 17124*a**3 - 2264*a**2 - 1520*a = 0. What is a?
-2/5, 0, 2/7, 95
Factor 3*r**4 + 12*r**3 + 15*r**2 + 6*r.
3*r*(r + 1)**2*(r + 2)
Let -2*v**4 + 75*v**3 - 108*v**2 - v + 36 = 0. Calculate v.
-1/2, 1, 36
Find n, given that -n**5 + 16*n**4 - 100*n**3 + 304*n**2 - 448*n + 256 = 0.
2, 4
What is z in 5*z**4 - 1550*z**3 + 155820*z**2 - 4606760*z - 47640640 = 0?
-8, 106
What is a in -a**3/7 + 4*a**2 - 28*a = 0?
0, 14
Factor -s**5/9 + 5*s**4/9.
-s**4*(s - 5)/9
What is a in -2*a**2/17 - 502*a/17 = 0?
-251, 0
Factor -2*j**2 + 1722*j.
-2*j*(j - 861)
What is x in 20*x**4 - 822*x**3 - 3438*x**2 - 3248*x + 360 = 0?
-2, 1/10, 45
Solve -2*w**2/11 - 10*w/11 - 8/11 = 0 for w.
-4, -1
Factor j**3/9 - 8*j**2/3 + 7*j.
j*(j - 21)*(j - 3)/9
Factor 2*x**4 + 16*x**3 + 46*x**2 + 56*x + 24.
2*(x + 1)*(x + 2)**2*(x + 3)
Factor p**3/2 - p**2 + p/2.
p*(p - 1)**2/2
Find z, given that z**3/2 - 133*z/2 - 66 = 0.
-11, -1, 12
Factor -j**4/2 + 9*j**3 + j**2/2 - 9*j.
-j*(j - 18)*(j - 1)*(j + 1)/2
Find d, given that d**4/6 - 2*d**3/3 + 5*d**2/6 - d/3 = 0.
0, 1, 2
Factor -5*s**4/4 + 115*s**3/4.
-5*s**3*(s - 23)/4
What is w in 2*w**4/3 + 176*w**3/3 + 346*w**2/3 + 172*w/3 = 0?
-86, -1, 0
Factor 2*f**2/9 - 352*f/9 + 1376/9.
2*(f - 172)*(f - 4)/9
Factor t**4 - 27*t**3 + 26*t**2.
t**2*(t - 26)*(t - 1)
Suppose -2*x**3 + 322*x**2 - 12798*x - 13122 = 0. What is x?
-1, 81
Factor -2*x**4 + 8*x**3 - 4*x**2 - 8*x + 6.
-2*(x - 3)*(x - 1)**2*(x + 1)
Let 2*j**2/13 + 1804*j/13 + 406802/13 = 0. What is j?
-451
Suppose l**2/3 - 193*l/3 - 130 = 0. Calculate l.
-2, 195
Suppose z**5 + 3*z**4 - 15*z**3 + 17*z**2 - 6*z = 0. Calculate z.
-6, 0, 1
Suppose 3*n**3/4 - 153*n**2 + 1188*n - 2352 = 0. What is n?
4, 196
Factor -3*u**3/5 + 399*u**2/5 + 162*u.
-3*u*(u - 135)*(u + 2)/5
Solve 245*j**5 + 60865*j**4 - 35085*j**3 - 55885*j**2 + 34840*j - 4980 = 0.
-249, -1, 2/7, 1
Determine u, given that -14*u**2 + 4*u + 64 = 0.
-2, 16/7
Factor -5*u**3 - 535*u**2 - 13475*u + 45375.
-5*(u - 3)*(u + 55)**2
Suppose -2*u**2/5 + 172*u/5 - 304 = 0. Calculate u.
10, 76
Factor 2*p**3/13 + 14100*p**2/13 + 24851250*p/13.
2*p*(p + 3525)**2/13
Find l, given that -5*l**2 + 14160*l - 10025280 = 0.
1416
Suppose 11*x**5/3 + 73*x**4/6 + 19*x**3/6 - x**2 = 0. What is x?
-3, -1/2, 0, 2/11
Factor -8*v**5/3 - 14*v**4/3 + 4*v**3/3.
-2*v**3*(v + 2)*(4*v - 1)/3
Let 4*d**5/7 + 304*d**4/7 + 5776*d**3/7 = 0. Calculate d.
-38, 0
Suppose -5*l**4 - 1100*l**3 - 62660*l**2 - 237600*l - 233280 = 0. Calculate l.
-108, -2
Let 3*c**2 - 12*c - 180 = 0. Calculate c.
-6, 10
Find g such that -4*g**4 - 44*g**3 - 108*g**2 - 100*g - 32 = 0.
-8, -1
Factor -2*x**2 - 6*x + 36.
-2*(x - 3)*(x + 6)
Determine c so that -4*c**5 + 172*c**4 - 1208*c**3 + 3176*c**2 - 3396*c + 1260 = 0.
1, 3, 35
Find k, given that 484*k**5/7 + 13376*k**4/7 + 20256*k**3/7 - 8704*k**2/7 + 832*k/7 = 0.
-26, -2, 0, 2/11
Suppose -9*d**2/7 + 1110*d + 5184/7 = 0. What is d?
-2/3, 864
Factor 75*u**4/2 - 195*u**3/2 - 87*u**2/2 - 9*u/2.
3*u*(u - 3)*(5*u + 1)**2/2
Determine g so that -8*g**5 - 8*g**4/3 + 70*g**3/9 + 8*g**2/3 + 2*g/9 = 0.
-1, -1/6, 0, 1
Suppose -f**3/5 - 3*f**2/5 + 6*f/5 + 8/5 = 0. Calculate f.
-4, -1, 2
Factor -499125*o**4 + 1206975*o**3 - 1042470*o**2 + 387348*o - 52728.
-3*(o - 1)*(55*o - 26)**3
Let j**3/5 + 9*j**2/5 - 64*j/5 + 84/5 = 0. What is j?
-14, 2, 3
Factor -k**2/6 - k + 7/6.
-(k - 1)*(k + 7)/6
Factor -2*a**3 + 196*a**2 - 194*a.
-2*a*(a - 97)*(a - 1)
Suppose -27*o**2/4 - 34278*o - 7617 = 0. Calculate o.
-5078, -2/9
Find z, given that -4*z**5 + 64*z**4 - 204*z**3 + 144*z**2 = 0.
0, 1, 3, 12
Suppose -i**2 + 51*i - 50 = 0. What is i?
1, 50
Let x**2 - 6*x + 9 = 0. What is x?
3
Let g**2/4 - 55*g/2 + 2449/4 = 0. Calculate g.
31, 79
Solve 4*a**4 - 48*a**3 - 4*a**2 + 48*a = 0 for a.
-1, 0, 1, 12
Let 76*d**5 + 160*d**4 - 60*d**3 - 160*d**2 - 16*d = 0. Calculate d.
-2, -1, -2/19, 0, 1
Let -j**2 - 15*j + 216 = 0. Calculate j.
-24, 9
Suppose g**5/8 + 11*g**4/8 - 39*g**3/8 - 459*g**2/8 + 243*g/4 = 0. What is g?
-9, 0, 1, 6
What is p in -p**4/2 - 5*p**3/2 + 3*p**2/2 + 13*p/2 - 5 = 0?
-5, -2, 1
What is c in 2*c**4/11 + 114*c**3/11 + 2262*c**2/11 + 17374*c/11 + 34680/11 = 0?
-20, -17, -3
Factor -2*l**3 + 132*l**2.
-2*l**2*(l - 66)
Find u, given that -u**4/2 - 25*u**3/2 - 107*u**2/2 - 143*u/2 - 30 = 0.
-20, -3, -1
Solve 2*o**3 + 320*o**2 - 1304*o + 1312 = 0 for o.
-164, 2
Find w such that 3*w**3 + 12*w**2 - 27*w - 108 = 0.
-4, -3, 3
Suppose -4*t**3 - 1296*t**2 - 139968*t - 5038848 = 0. Calculate t.
-108
Find m such that m**2/4 - 50*m + 975/4 = 0.
5, 195
Solve 4*z**5 + 532*z**4 + 15724*z**3 - 131060*z**2 + 212800*z - 98000 = 0.
-70, 1, 5
Factor 2*p**5 + 6*p**4 + 4*p**3.
2*p**3*(p + 1)*(p + 2)
Factor 2*s**3 - 34*s**2 + 160*s - 128.
2*(s - 8)**2*(s - 1)
Factor 4*r**2 + 640*r - 644.
4*(r - 1)*(r + 161)
Factor -4*z**3 + 1044*z**2 - 67596*z - 68644.
-4*(z - 131)**2*(z + 1)
Factor 15*h**3 - 3*h**2 - 51*h - 33.
3*(h + 1)**2*(5*h - 11)
Let -2*v**3/13 + 2186*v**2/13 - 4366*v/13 + 2182/13 = 0. Calculate v.
1, 1091
Suppose 2*a**4/7 + 22*a**3/7 - 24*a**2/7 = 0. What is a?
-12, 0, 1
Factor -5*t**3/4 - 215*t**2/4 - 305*t/2 - 100.
-5*(t + 1)*(t + 2)*(t + 40)/4
Let 168*c**4 - 244*c**3 + 72*c**2 + 4*c = 0. What is c?
-1/21, 0, 1/2, 1
Find q, given that -11*q**4 - 69*q**3/7 + 12*q**2/7 + 4*q/7 = 0.
-1, -2/11, 0, 2/7
Solve 2*j**2/13 + 796*j/13 + 79202/13 = 0.
-199
Suppose -2*s**4/3 - 2*s**3/3 + 14*s**2/3 + 2*s/3 - 4 = 0. What is s?
-3, -1, 1, 2
Factor k**5 - 4*k**4 + 6*k**3 - 4*k**2 + k.
k*(k - 1)**4
Determine w so that -2*w**3 - 4*w**2 + 66*w + 180 = 0.
-5, -3, 6
Factor 7*l