 472 = 0. What is w?
2/7, 10/9, 118
Factor -2*y**2/7 + 124*y/7 - 96.
-2*(y - 56)*(y - 6)/7
Suppose -2*s**4 + 14*s**3 + 18*s**2 - 230*s + 200 = 0. What is s?
-4, 1, 5
Factor 4*w**5 + 20*w**4 + 36*w**3 + 28*w**2 + 8*w.
4*w*(w + 1)**3*(w + 2)
Factor -3*a**2/4 - 195*a/4 - 48.
-3*(a + 1)*(a + 64)/4
Factor 21*n**2 - 45*n + 6.
3*(n - 2)*(7*n - 1)
What is q in q**4/6 + 4*q**3/3 - 5*q**2/2 - 9*q = 0?
-9, -2, 0, 3
Determine m, given that 3*m**3 + 72*m**2 + 135*m + 66 = 0.
-22, -1
Solve -4*b**2 - 88*b - 228 = 0 for b.
-19, -3
Determine w so that -160*w**3 + 14388*w**2 - 322920*w - 24300 = 0.
-3/40, 45
Determine w, given that w**5/3 + 4*w**4/3 - 10*w**3/3 - 64*w**2/3 - 29*w - 12 = 0.
-3, -1, 4
Find h, given that -4*h**2/7 + 1640*h/7 - 168100/7 = 0.
205
Factor -w**4 + 111*w**3 - 533*w**2 + 309*w + 954.
-(w - 106)*(w - 3)**2*(w + 1)
Factor -s**3/5 + 22*s**2/5 - 37*s/5 - 12.
-(s - 20)*(s - 3)*(s + 1)/5
Factor z**2/2 - 23*z/2.
z*(z - 23)/2
Factor 5*d**3 - 60*d**2 - 5*d + 60.
5*(d - 12)*(d - 1)*(d + 1)
Factor 2*v**3/5 - v**2 - 9*v/5 + 18/5.
(v - 3)*(v + 2)*(2*v - 3)/5
Factor -4*x**2 - 764*x - 760.
-4*(x + 1)*(x + 190)
What is g in -3*g**5/8 + 87*g**4/8 - 543*g**3/8 + 837*g**2/8 - 189*g/4 = 0?
0, 1, 6, 21
What is l in -l**2 - 18*l - 72 = 0?
-12, -6
Determine h, given that -h**4/2 - 33*h**3/2 - 317*h**2/2 - 735*h/2 - 225 = 0.
-15, -2, -1
Suppose -d**5 - 224*d**4/5 - 160*d**3 - 866*d**2/5 - 203*d/5 + 82/5 = 0. What is d?
-41, -2, -1, 1/5
Let -2*x**4 - 200*x**3 - 5382*x**2 - 19008*x - 13824 = 0. What is x?
-48, -3, -1
Let z**4/6 + 13*z**3/6 + 47*z**2/6 + 35*z/6 = 0. What is z?
-7, -5, -1, 0
Factor -2*z**5/11 + 2*z**4/11 + 6*z**3/11 - 10*z**2/11 + 4*z/11.
-2*z*(z - 1)**3*(z + 2)/11
Let 3*g**3/7 + 1572*g**2/7 - 3*g/7 - 1572/7 = 0. What is g?
-524, -1, 1
Solve 5*g**5 - 77*g**4 - 55*g**3 + 109*g**2 + 50*g - 32 = 0 for g.
-1, 2/5, 1, 16
Suppose -k**2/4 + 75*k - 149 = 0. What is k?
2, 298
Solve 2*w**4/17 + 40*w**3/17 + 264*w**2/17 + 704*w/17 + 640/17 = 0 for w.
-10, -4, -2
Factor 15*s**3 + 159*s**2 - 696*s + 252.
3*(s - 3)*(s + 14)*(5*s - 2)
Factor 2*r**2/11 + 4*r + 170/11.
2*(r + 5)*(r + 17)/11
Factor 2*p**2/11 + 204*p/11 + 5202/11.
2*(p + 51)**2/11
Factor -3*p**2/5 - 18*p/5 + 48/5.
-3*(p - 2)*(p + 8)/5
Factor 2*n**2 + 104*n + 470.
2*(n + 5)*(n + 47)
Factor -n**3/3 + 59*n**2/3 + n/3 - 59/3.
-(n - 59)*(n - 1)*(n + 1)/3
Factor 3*m**2/4 - 447*m - 1791/4.
3*(m - 597)*(m + 1)/4
Factor -4*b**3 + 3752*b**2 - 3748*b.
-4*b*(b - 937)*(b - 1)
Suppose 2*c**3 - 140*c**2/11 - 2*c + 140/11 = 0. Calculate c.
-1, 1, 70/11
Find v, given that -3*v**3 - 2*v**2 + v = 0.
-1, 0, 1/3
Find l, given that 396*l**4 - 1095*l**3 + 1044*l**2 - 387*l + 42 = 0.
2/11, 7/12, 1
Factor 11*y**3/7 + 2*y**2/7.
y**2*(11*y + 2)/7
Factor 2*k**2/11 - 10*k/11 + 8/11.
2*(k - 4)*(k - 1)/11
Determine q, given that -4*q**4 + 24*q**3 + 80*q**2 - 600*q + 500 = 0.
-5, 1, 5
Let z**3 + 178*z**2 - 359*z + 180 = 0. What is z?
-180, 1
Factor -4*y**3 + 16*y**2 + 16*y - 64.
-4*(y - 4)*(y - 2)*(y + 2)
Suppose 4*s**2 + 1000*s + 62500 = 0. Calculate s.
-125
What is w in -4*w**4 + 480*w**3 - 2784*w**2 + 5504*w - 3648 = 0?
2, 114
Solve x**5/7 + 3*x**4/7 - 5*x**3/7 - 15*x**2/7 + 4*x/7 + 12/7 = 0 for x.
-3, -2, -1, 1, 2
Factor 2*p**2 + 3016*p + 1137032.
2*(p + 754)**2
Find t, given that -3*t**5 - 15*t**4 - 24*t**3 - 12*t**2 = 0.
-2, -1, 0
Determine z, given that -z**4/4 - 367*z**3/2 - 134689*z**2/4 = 0.
-367, 0
Factor -p**3/8 + p**2/8 + 21*p/8 - 45/8.
-(p - 3)**2*(p + 5)/8
What is x in -18*x**5/7 - 15*x**4/7 + 438*x**3/7 + 417*x**2/7 - 1854*x/7 - 648/7 = 0?
-4, -3, -1/3, 2, 9/2
Let -c**2/6 - 173*c/3 - 344/3 = 0. What is c?
-344, -2
Solve 2*i**2/11 + 72*i/11 - 74/11 = 0 for i.
-37, 1
Factor -r**2/7 - 753*r/7 - 752/7.
-(r + 1)*(r + 752)/7
Factor -o**4/5 + 162*o**3/5 - 6057*o**2/5 - 40824*o/5 - 63504/5.
-(o - 84)**2*(o + 3)**2/5
Factor -3*h**3/4 - 39*h**2/4 + 12*h + 21.
-3*(h - 2)*(h + 1)*(h + 14)/4
Let 4*o**5 + 8*o**4 - 44*o**3 - 32*o**2 + 80*o + 64 = 0. Calculate o.
-4, -1, 2
Let -4*i**4 - 2160*i**3 - 295888*i**2 - 1157760*i - 1149184 = 0. What is i?
-268, -2
Let 4*q**2/5 + 8*q + 84/5 = 0. Calculate q.
-7, -3
Factor -3*u**2/4 + 225*u/2 + 228.
-3*(u - 152)*(u + 2)/4
What is p in -4*p**5 - 4032*p**4 - 1528088*p**3 - 259060112*p**2 - 16888552068*p - 63506016016 = 0?
-251, -4
Determine s, given that 21*s**2 + 159*s + 138 = 0.
-46/7, -1
Determine t, given that -26*t**3 - 448*t**2/3 + 122*t/3 + 4 = 0.
-6, -1/13, 1/3
Determine i, given that 2*i**3/9 - 142*i**2/3 + 838*i/9 + 422/3 = 0.
-1, 3, 211
Solve 7*w**2/3 - 8*w = 0 for w.
0, 24/7
Solve -2*f**4/5 - 206*f**3/5 - 4982*f**2/5 + 16854*f/5 = 0.
-53, 0, 3
Factor -380880*n**2 - 2760*n - 5.
-5*(276*n + 1)**2
Suppose 3*p**2/5 + 12*p/5 - 231/5 = 0. What is p?
-11, 7
Factor -k**2 - 155*k + 156.
-(k - 1)*(k + 156)
Solve -2*f**4/11 - 2*f**3/11 + 134*f**2/11 - 118*f/11 - 252/11 = 0 for f.
-9, -1, 2, 7
Factor 5*d**4 - 50*d**3 + 120*d**2.
5*d**2*(d - 6)*(d - 4)
Factor 4*w**2 + 8*w.
4*w*(w + 2)
Factor -10*y**2 + 2755*y + 5550.
-5*(y + 2)*(2*y - 555)
Factor -w**2 - 296*w.
-w*(w + 296)
Factor -2*u**3 - 18*u**2 - 30*u - 14.
-2*(u + 1)**2*(u + 7)
Solve 3*b**3 + 45*b**2 + 162*b + 120 = 0 for b.
-10, -4, -1
Factor 3*j**4/2 - 6*j**3 - 57*j**2 - 90*j - 81/2.
3*(j - 9)*(j + 1)**2*(j + 3)/2
Find s, given that 2*s**4/9 + 68*s**3/9 + 88*s**2 + 3388*s/9 + 2662/9 = 0.
-11, -1
Let -2*s**2/7 + 90*s/7 + 92/7 = 0. What is s?
-1, 46
Factor 4*m**2 - 16*m - 20.
4*(m - 5)*(m + 1)
Determine n so that -2*n**4 + 136*n**3 - 1318*n**2 - 1456*n = 0.
-1, 0, 13, 56
Determine r, given that -3*r**4/2 - 9*r**3 = 0.
-6, 0
Factor 12*l**5 + 1700*l**4/3 + 376*l**3/3.
4*l**3*(l + 47)*(9*l + 2)/3
Factor 2*n**2/7 + 146*n/7.
2*n*(n + 73)/7
Suppose -p**3 + p**2 + 16*p + 20 = 0. What is p?
-2, 5
Factor 4*y**2 - 14016*y - 14020.
4*(y - 3505)*(y + 1)
Let -2*b**5/3 - 92*b**4 + 2*b**3/3 + 92*b**2 = 0. What is b?
-138, -1, 0, 1
Find h such that h**5/2 - 19*h**4 + 243*h**3 - 1096*h**2 + 913*h/2 + 1815 = 0.
-1, 2, 11, 15
Factor 6*l**2 + 15*l - 36.
3*(l + 4)*(2*l - 3)
Factor -2*x**2/7 + 992*x/7 - 123008/7.
-2*(x - 248)**2/7
Determine t, given that -2*t**5 - 19*t**4 - 44*t**3 - 9*t**2 + 18*t = 0.
-6, -3, -1, 0, 1/2
Find q, given that -q**2 - 84*q + 940 = 0.
-94, 10
Factor h**3 + 5*h**2 + 2*h - 8.
(h - 1)*(h + 2)*(h + 4)
Factor -4*i**4 + 88*i**3 - 676*i**2 + 2112*i - 2304.
-4*(i - 8)**2*(i - 3)**2
Suppose g**4/7 - g**3/7 = 0. Calculate g.
0, 1
Factor -4*r**2 - 10168*r - 6461764.
-4*(r + 1271)**2
Determine v so that -26*v**3/5 - 412*v**2/5 + 506*v/5 - 68/5 = 0.
-17, 2/13, 1
Suppose 20*f**4 + 1725*f**3 - 3150*f**2 - 6175*f - 1320 = 0. Calculate f.
-88, -1, -1/4, 3
Factor -3969*r**2/4 + 63*r - 1.
-(63*r - 2)**2/4
Factor -y**4/2 - 5*y**3/2 - 7*y**2/2 - 3*y/2.
-y*(y + 1)**2*(y + 3)/2
Suppose k**5 - 2*k**4 - 16*k**3 + 32*k**2 = 0. What is k?
-4, 0, 2, 4
Factor -5*m**2 - 450*m + 4455.
-5*(m - 9)*(m + 99)
Factor -2*k**5/3 + 4*k**4/3 + 2*k**3 - 8*k**2/3 - 8*k/3.
-2*k*(k - 2)**2*(k + 1)**2/3
Solve v**4 - 6*v**2 - 8*v - 3 = 0 for v.
-1, 3
Determine v, given that 3*v**3 + 210*v**2 + 4059*v + 13068 = 0.
-33, -4
Determine g so that -g**4/3 + 27*g**3 - 79*g**2/3 - 27*g + 80/3 = 0.
-1, 1, 80
Determine x, given that 2*x**4 + 46*x**3/3 - 16*x**2/3 = 0.
-8, 0, 1/3
Factor 2*k**5/9 + 146*k**4/9 - 148*k**3/9.
2*k**3*(k - 1)*(k + 74)/9
Factor k**3/8 - 49*k**2/2 - 1203*k/8 - 909/4.
(k - 202)*(k + 3)**2/8
Factor -162*h**3 + 180*h**2 - 50*h.
-2*h*(9*h - 5)**2
Find d such that 605*d**4 + 31240*d**3 + 397560*d**2 - 147680*d + 13520 = 0.
-26, 2/11
Suppose -q**4/3 + q**3 + 3*q**2 - 23*q/3 + 4 = 0. What is q?
-3, 1, 4
Find u, given that 4*u**4 - 2016*u**3 + 254012*u**2 + 2016*u - 254016 = 0.
-1, 1, 252
Factor -a**5 + 12*a**4 - 32*a**3 - 70*a**2 + 225*a + 250.
-(a - 5)**3*(a + 1)*(a + 2)
Solve -r**5/2 + 3*r**4/2 + 21*r**3 + 49*r**2 + 87*r/2 + 27/2 = 0 for r.
-3, -1, 9
Factor -3*k**3/8 - 69*k**2/8 + 3*k/8 + 69/8.
-3*(k - 1)*(k + 1)*(k + 23)/8
Let -d**2/2 + 13*d/2 - 6 = 0. Calculate d.
1, 12
Solve 8*m**5 + 19*m**4/2 - 109*m**3/2 - 229*m**2/2 - 135*m/2 - 9 = 0.
-2, -1, -3/16, 3
Determine y, given that 3*y**2 - 2400*y + 480000 = 0.
400
Factor -3*q**5/4 + 3*q**4 - 3*q**3.
-3*q**3*(q - 2)**2/4
Determine k, given that k**5/2 - 13*k**4 + 12*k**3 + 13*k**2 - 25*k/2 = 0.
-1, 0, 1, 25
Factor 3