p**2 = 0. Calculate p.
-6, -1/6, 0
Find h, given that h**2/7 - 11*h/7 - 80/7 = 0.
-5, 16
Let -y**3/4 + 5*y**2/4 - 3*y/4 - 9/4 = 0. What is y?
-1, 3
Factor -i**2/3.
-i**2/3
Factor -4*t**2/5 + 488*t/5 - 192.
-4*(t - 120)*(t - 2)/5
Solve -2*c**2 - 310*c - 612 = 0 for c.
-153, -2
Let 3*t**2/7 - 24*t/7 = 0. Calculate t.
0, 8
Let -4*g**4 - 8*g**3 + 8*g + 4 = 0. Calculate g.
-1, 1
Suppose 4*f**5 - 212*f**4 + 2896*f**3 - 1856*f**2 - 11648*f + 10816 = 0. What is f?
-2, 1, 2, 26
Factor 3*b**3 + 36*b**2 - 135*b.
3*b*(b - 3)*(b + 15)
Solve -3*y**2 + 102*y = 0 for y.
0, 34
What is v in -3*v**4/2 + 48*v**3 = 0?
0, 32
Suppose 26*a**2 + 82*a + 12 = 0. Calculate a.
-3, -2/13
Determine k so that -7*k**5/4 + 3179*k**4/2 - 1444621*k**3/4 + 202937*k**2/2 + 361157*k - 103058 = 0.
-1, 2/7, 1, 454
Factor 3*v**3 - 831*v**2 + 1653*v - 825.
3*(v - 275)*(v - 1)**2
Find a such that -2*a**3 - 36*a**2 - 118*a - 84 = 0.
-14, -3, -1
Solve -5*d**5 + 300*d**4 - 6750*d**3 + 67500*d**2 - 253125*d = 0 for d.
0, 15
Suppose z**5/4 - z**4/4 - 7*z**3/4 + z**2/4 + 3*z/2 = 0. What is z?
-2, -1, 0, 1, 3
Let 3*a**2/5 + 3*a/5 - 2268/5 = 0. What is a?
-28, 27
Factor u**3 + 154*u**2 + 305*u + 152.
(u + 1)**2*(u + 152)
Factor 6*l**2/5 - 5313*l/5 - 2664.
3*(l - 888)*(2*l + 5)/5
Let 4*p**4 + 64*p**3 + 112*p**2 = 0. Calculate p.
-14, -2, 0
Factor 3*y**2 + 141*y + 396.
3*(y + 3)*(y + 44)
Factor -2*u**2/17 - 42*u/17 + 44/17.
-2*(u - 1)*(u + 22)/17
Suppose -21*q**5 + 90*q**4 + 39*q**3 - 396*q**2 + 108*q = 0. What is q?
-2, 0, 2/7, 3
Factor 2*k**4 - 10*k**3 + 12*k**2 + 8*k - 16.
2*(k - 2)**3*(k + 1)
Solve -3*q**2 + 4944*q - 2036928 = 0 for q.
824
Suppose -8*a**3 + 6*a**2 + 50*a + 12 = 0. Calculate a.
-2, -1/4, 3
Factor -3*d**5/7 - 3*d**4/7 + 18*d**3/7 + 6*d**2 + 33*d/7 + 9/7.
-3*(d - 3)*(d + 1)**4/7
Factor 2*w**3 + 4*w**2.
2*w**2*(w + 2)
Factor -2*u**4 - 54*u**3 - 436*u**2 - 960*u - 576.
-2*(u + 1)*(u + 2)*(u + 12)**2
What is d in 4*d**2 + 68*d - 6600 = 0?
-50, 33
Solve 5*q**4 + 40*q**3 + 85*q**2 + 50*q = 0 for q.
-5, -2, -1, 0
Find q, given that -q**4/7 + 6*q**3/7 - 11*q**2/7 + 6*q/7 = 0.
0, 1, 2, 3
Solve -13*p**3 + 106*p**2 - 107*p + 14 = 0 for p.
2/13, 1, 7
Factor 2*o**4/9 + 8*o**3/9 + 2*o**2/3.
2*o**2*(o + 1)*(o + 3)/9
Find p, given that 2*p**4 - 126*p**3 - 258*p**2 - 130*p = 0.
-1, 0, 65
What is i in 2*i**4 - 2*i**3 - 2*i**2 + 2*i = 0?
-1, 0, 1
Factor 5*v**2 + 670*v + 22445.
5*(v + 67)**2
Find v, given that 5*v**2 + 6385*v + 12750 = 0.
-1275, -2
Factor 226*t**2 - 908*t + 16.
2*(t - 4)*(113*t - 2)
Find s such that -s**3/4 - 19*s**2/2 - 425*s/4 - 289 = 0.
-17, -4
Solve -d**5 + 467*d**4 - 56131*d**3 + 375365*d**2 - 584200*d + 264500 = 0 for d.
1, 5, 230
Factor -4*w**3 + 268*w**2 - 752*w - 1024.
-4*(w - 64)*(w - 4)*(w + 1)
Factor -q**2 - 3379*q + 3380.
-(q - 1)*(q + 3380)
Solve 2*f**3/17 + 444*f**2/17 + 4290*f/17 + 10600/17 = 0.
-212, -5
Solve -o**2/4 - 11*o/4 - 9/2 = 0 for o.
-9, -2
Solve -2*j**5/5 - 52*j**4/5 - 296*j**3/5 - 596*j**2/5 - 502*j/5 - 152/5 = 0.
-19, -4, -1
Suppose g**2 + 48*g + 576 = 0. What is g?
-24
Factor -36*p**2/5 - 50192*p/5 - 11152/5.
-4*(p + 1394)*(9*p + 2)/5
Factor 4*n**3 - 136*n**2 + 1508*n - 5408.
4*(n - 13)**2*(n - 8)
Solve -m**3/6 - 37*m**2/6 + 13*m = 0.
-39, 0, 2
Find y, given that y**3 - 148*y - 672 = 0.
-8, -6, 14
Let -2*u**5/3 + 4*u**4/3 + 64*u**3/3 + 20*u**2 - 42*u = 0. What is u?
-3, 0, 1, 7
Factor 3*d**2 - 15*d - 18.
3*(d - 6)*(d + 1)
Factor -4*y**2/9 + 8*y/3 + 32.
-4*(y - 12)*(y + 6)/9
Let -9*s**2/4 - 39*s/2 + 87/4 = 0. Calculate s.
-29/3, 1
Factor 4*s**2 + 12*s - 16.
4*(s - 1)*(s + 4)
Factor 5*s**3/3 - 35*s**2/3 + 70*s/3 - 40/3.
5*(s - 4)*(s - 2)*(s - 1)/3
Find w such that -w**5/6 - 3*w**4/2 + 8*w**3 + 224*w**2/3 = 0.
-8, 0, 7
Find g such that g**3 + 14*g**2 + 32*g - 128 = 0.
-8, 2
Determine t, given that 8*t**4/9 + 550*t**3/9 - 46*t**2/3 = 0.
-69, 0, 1/4
Factor -3*d**2 - 27*d/5 + 42/5.
-3*(d - 1)*(5*d + 14)/5
Suppose -6*n**5 - 28*n**4 - 8*n**3 + 36*n**2 + 14*n - 8 = 0. What is n?
-4, -1, 1/3, 1
Factor -12*h**3 - 988*h**2 - 19300*h - 6324.
-4*(h + 31)*(h + 51)*(3*h + 1)
Factor -f**3 - 53*f**2/4 - 101*f/4 - 11/2.
-(f + 2)*(f + 11)*(4*f + 1)/4
Determine r, given that 2*r**3 + 64*r**2 - 280*r + 288 = 0.
-36, 2
Factor r**4 - 96*r**3 - 612*r**2 - 32*r + 3264.
(r - 102)*(r - 2)*(r + 4)**2
Factor 2*j**2 - 812*j + 82418.
2*(j - 203)**2
Factor -2*s**3/3 - 6*s**2 + 44*s/3 + 160.
-2*(s - 5)*(s + 6)*(s + 8)/3
Factor 5*s**3 - 40*s**2 - 495*s + 4050.
5*(s - 9)**2*(s + 10)
Factor 2*d**4/13 + 116*d**3/13 + 336*d**2/13 + 332*d/13 + 110/13.
2*(d + 1)**3*(d + 55)/13
Factor 2*j**3/3 - 95*j**2/6 + 117*j/2 + 75.
(j - 6)*(j + 1)*(4*j - 75)/6
Let 2*k**2/11 + 1434*k/11 + 1432/11 = 0. Calculate k.
-716, -1
Factor -c**4/2 - 13*c**3 + 59*c**2/2 + 42*c.
-c*(c - 3)*(c + 1)*(c + 28)/2
Factor m**2/6 + 18*m + 106/3.
(m + 2)*(m + 106)/6
Factor -3*o**2 - 90*o + 192.
-3*(o - 2)*(o + 32)
Find c, given that -4*c**5 - 48*c**4 + 356*c**3 + 1248*c**2 - 5392*c + 3840 = 0.
-16, -5, 1, 2, 6
Determine x so that 4*x**5 + 178*x**4/11 + 228*x**3/11 + 98*x**2/11 + 4*x/11 = 0.
-2, -1, -1/22, 0
Factor 5*s**3 + 90*s**2 + 165*s + 80.
5*(s + 1)**2*(s + 16)
Factor 108*f**2 + 24*f - 4.
4*(3*f + 1)*(9*f - 1)
Solve -2*h**3/5 + 24*h**2 - 2346*h/5 + 15028/5 = 0 for h.
17, 26
Suppose 3*m**4/5 + 33*m**3/5 + 57*m**2/5 + 27*m/5 = 0. What is m?
-9, -1, 0
Let -4*b**5 + 4*b**4 + 24*b**3 + 8*b**2 - 20*b - 12 = 0. Calculate b.
-1, 1, 3
Factor -29*q**2/2 + 55*q/2 + 3.
-(q - 2)*(29*q + 3)/2
Suppose -2*c**5 - 134*c**4/3 - 164*c**3/3 + 92*c**2/3 + 170*c/3 + 14 = 0. What is c?
-21, -1, -1/3, 1
Factor 2*a**2/7 - 36*a/7 - 18.
2*(a - 21)*(a + 3)/7
Factor -4*i**2/3 - 1940*i/3 + 648.
-4*(i - 1)*(i + 486)/3
What is g in -2*g**4/3 + 76*g**3/3 - 962*g**2/3 + 1352*g = 0?
0, 12, 13
Solve -k**4/4 + 11*k**3/2 + 6*k**2 - 11*k/2 - 23/4 = 0.
-1, 1, 23
Determine p so that -p**2/5 + 148*p/5 + 149/5 = 0.
-1, 149
Suppose -3*v**2 - 44*v - 28 = 0. What is v?
-14, -2/3
Factor -4*v**3 + 324*v**2 + 1344*v + 1360.
-4*(v - 85)*(v + 2)**2
Factor -4*a**4/3 + 8*a**3/3 - 8*a/3 + 4/3.
-4*(a - 1)**3*(a + 1)/3
Determine u so that 15*u**4 + 636*u**3 + 7452*u**2 + 14880*u + 4800 = 0.
-20, -2, -2/5
Let 3*p**3/8 - 147*p**2/8 + 1245*p/8 - 2925/8 = 0. Calculate p.
5, 39
Suppose 2*b**2/9 - 38*b/9 + 56/3 = 0. What is b?
7, 12
Factor 2*q**3 + 70*q**2 + 774*q + 2754.
2*(q + 9)**2*(q + 17)
Find s, given that -2*s**4 + 62*s**3 - 288*s**2 - 3240*s = 0.
-5, 0, 18
Determine b so that -b**4 + 30*b**3 - 209*b**2 - 240*b = 0.
-1, 0, 15, 16
Solve h**2 - 86*h = 0.
0, 86
Factor 3*q**2 - 252*q + 5292.
3*(q - 42)**2
Factor -3*i**2/5 - 21*i/5.
-3*i*(i + 7)/5
Factor q**5/5 - 4*q**3/5 + 2*q**2/5 + 3*q/5 - 2/5.
(q - 1)**3*(q + 1)*(q + 2)/5
Factor 5*c**5 - 40*c**4 + 125*c**3 - 190*c**2 + 140*c - 40.
5*(c - 2)**3*(c - 1)**2
Determine y so that 2*y**4/11 - 18*y**3/11 - 166*y**2/11 + 378*y/11 - 196/11 = 0.
-7, 1, 14
Suppose 4*u**3 + 108*u**2 - 228*u + 116 = 0. Calculate u.
-29, 1
Factor 4*d**5 - 16*d**4 + 24*d**3 - 16*d**2 + 4*d.
4*d*(d - 1)**4
Find a such that -6498*a**3 - 32414*a**2 + 3418*a/9 - 10/9 = 0.
-5, 1/171
Solve -5*i**3 + 315*i**2 - 615*i + 305 = 0.
1, 61
Factor -3*l**2/2 + 72*l.
-3*l*(l - 48)/2
Factor 5*c**4 + 145*c**3 + 1110*c**2 + 700*c - 1960.
5*(c - 1)*(c + 2)*(c + 14)**2
Factor 3*j**2 - 15*j.
3*j*(j - 5)
Factor -f**4/3 + 16*f**3/3 - 29*f**2/3 + 14*f/3.
-f*(f - 14)*(f - 1)**2/3
Let t**3/2 + 133*t**2/2 - 556*t + 1128 = 0. Calculate t.
-141, 4
Solve 2*w**2 - 260*w + 258 = 0 for w.
1, 129
Find d, given that -3*d**4/4 - 681*d**3/4 + 699*d**2/4 + 3429*d/4 + 513 = 0.
-228, -1, 3
Suppose 33*z**5 + 69*z**4 + 6*z**3 - 66*z**2 - 39*z - 3 = 0. Calculate z.
-1, -1/11, 1
What is n in 3*n**5/8 + 3*n**4/8 - 135*n**3/4 + 165*n**2 - 276*n + 144 = 0?
-12, 1, 2, 4
Factor -135*o**4 + 542*o**3 - 548*o**2 + 8*o.
-o*(o - 2)**2*(135*o - 2)
Factor 4*z**4 + 124*z**3 + 344*z**2 + 224*z.
4*z*(z + 1)*(z + 2)*(z + 28)
Determine q, given that 2*q**4 - 46*q**3 + 186*q**2 + 910*q + 676 = 0.
-2, -1, 13
Factor 2*r**2/7 - 12*r/7 - 2.
2*(r - 7)*(r + 1)/7
Factor 2*n**5 - 24*n**4 + 76*n**3 - 104*n**2 + 66*n - 16.
2*(n - 8)*(n - 1)**4
Solve 8*t**3 - 23*t**2 + 13*t + 2 = 0.
-1/8, 1, 2
Let -5*s**3/3 - 70*s**2 - 735*s = 0. What is s?
-21, 0
Factor -t**2/4 - 9*t/4 - 5.
-(t + 4)*(t + 5)/4
Solve -27*j**4/7 + 138*j**3/7 + 