2*t**2 - 34*t - 84.
-2*(t + 3)*(t + 14)
Let -3*x**5 + 12*x**4 + 69*x**3 - 6*x**2 - 228*x - 168 = 0. Calculate x.
-2, -1, 2, 7
Factor 2*p**5 - 24*p**4 + 88*p**3 - 32*p**2 - 384*p + 512.
2*(p - 4)**3*(p - 2)*(p + 2)
Factor c**3/4 + c**2/2 - c/4 - 1/2.
(c - 1)*(c + 1)*(c + 2)/4
Factor -4*u**2 - 8*u - 4.
-4*(u + 1)**2
Factor -2*v**3 + 884*v**2 - 97682*v.
-2*v*(v - 221)**2
Solve -2*q**5 + 180*q**4 - 1026*q**3 + 1512*q**2 = 0 for q.
0, 3, 84
Factor -5*d**2 + 600*d + 605.
-5*(d - 121)*(d + 1)
Factor -5*h**4 + 80*h**3 + 525*h**2.
-5*h**2*(h - 21)*(h + 5)
Factor -q**5/3 - q**4 + 2*q**3 + 26*q**2/3 + 9*q + 3.
-(q - 3)*(q + 1)**3*(q + 3)/3
Factor -7*k**4/3 + 3236*k**3/3 - 166320*k**2 + 25708144*k/3 - 7304528/3.
-(k - 154)**3*(7*k - 2)/3
Determine t so that -t**3/3 + 10*t**2 - 92*t/3 - 104 = 0.
-2, 6, 26
Solve -4*g**5 - 24*g**4 - 44*g**3 - 24*g**2 = 0 for g.
-3, -2, -1, 0
Factor 3*c**2 - 117*c - 120.
3*(c - 40)*(c + 1)
Solve 10*o**3 - 95*o**2/3 + 5*o = 0.
0, 1/6, 3
Factor -2*m**4/11 - 54*m**3/11 - 390*m**2/11 - 850*m/11.
-2*m*(m + 5)**2*(m + 17)/11
Solve 3*y**2/5 - 36*y/5 + 108/5 = 0 for y.
6
What is c in c**5/3 - 23*c**4/3 - 374*c**3/3 - 1550*c**2/3 - 2075*c/3 - 875/3 = 0?
-5, -1, 35
Factor -3*s**2 + 534*s - 1056.
-3*(s - 176)*(s - 2)
Solve 8*l**2/7 + 14*l + 24/7 = 0.
-12, -1/4
Factor q**3/2 - q**2 - 4*q.
q*(q - 4)*(q + 2)/2
Let -w**2/2 - 134*w - 267/2 = 0. Calculate w.
-267, -1
Suppose 2*m**3/11 - 810*m**2/11 + 109350*m/11 - 4920750/11 = 0. Calculate m.
135
Determine k so that -9*k**3/5 - 462*k**2/5 - 1011*k/5 + 882/5 = 0.
-49, -3, 2/3
Factor 3*g**3 - 210*g**2 - 429*g - 216.
3*(g - 72)*(g + 1)**2
Suppose -2*j**3/5 - 2118*j**2/5 - 111936*j + 112360 = 0. Calculate j.
-530, 1
Solve 2*z**5/11 + 2*z**4 - 272*z**3/11 + 608*z**2/11 = 0 for z.
-19, 0, 4
Solve -36*j**3 - 86052*j**2 + 57380*j - 9564 = 0.
-2391, 1/3
Solve -3*z**3/8 - 135*z**2/8 - 1449*z/8 + 1587/8 = 0.
-23, 1
Let -3*i**2/5 - 3342*i/5 + 10053/5 = 0. What is i?
-1117, 3
Let 4*z**2 - 140*z = 0. Calculate z.
0, 35
Determine t so that -5*t**4 + 175*t**3 + 785*t**2 - 175*t - 780 = 0.
-4, -1, 1, 39
Solve -2*s**5/15 + 4*s**4/5 - 26*s**3/15 + 8*s**2/5 - 8*s/15 = 0.
0, 1, 2
Factor 3*r**2 + 238*r + 79.
(r + 79)*(3*r + 1)
Factor 3*x**2/4 + 60*x + 2277/4.
3*(x + 11)*(x + 69)/4
Factor y**3/3 + 371*y**2 + 137641*y + 51064811/3.
(y + 371)**3/3
Factor 3*k**3 + 108*k**2 - 225*k + 114.
3*(k - 1)**2*(k + 38)
Suppose 3*j**3 - 897*j**2 + 65685*j + 205209 = 0. Calculate j.
-3, 151
Suppose 37*s**3/4 + 1297*s**2/4 + 35*s/2 = 0. What is s?
-35, -2/37, 0
Find s, given that -s**4 + 13*s**3 - 61*s**2 + 123*s - 90 = 0.
2, 3, 5
Solve -5*u**3 - 170*u**2 - 1120*u - 2080 = 0.
-26, -4
Determine m so that -3*m**3 - 18*m**2 + 3*m + 18 = 0.
-6, -1, 1
Solve -272*z**2 - 4*z/7 = 0 for z.
-1/476, 0
Factor -2*f**4/7 - 8*f**3/7.
-2*f**3*(f + 4)/7
Factor u**3/4 + 99*u**2/4 + 3267*u/4 + 35937/4.
(u + 33)**3/4
Solve 2*f**3/5 - 198*f**2/5 - 816*f/5 - 824/5 = 0 for f.
-2, 103
Find b, given that -2*b**2/3 + 62*b/3 + 280/3 = 0.
-4, 35
Factor -3*w**2 - 102*w + 105.
-3*(w - 1)*(w + 35)
Factor 2*q**2/5 - 8*q/5 + 6/5.
2*(q - 3)*(q - 1)/5
Let -a**3/4 + a**2 - a/4 - 3/2 = 0. What is a?
-1, 2, 3
Factor 2*n**5/9 + 4*n**4/9 - 16*n**3/9 + 4*n**2/9 + 14*n/9 - 8/9.
2*(n - 1)**3*(n + 1)*(n + 4)/9
Suppose 3*u**2/5 - 66*u/5 + 63 = 0. What is u?
7, 15
Factor -2*m**2/3 + 130*m/3 + 44.
-2*(m - 66)*(m + 1)/3
Factor 3*u**4/4 - 579*u**3/4 - 1755*u**2/4 - 1761*u/4 - 147.
3*(u - 196)*(u + 1)**3/4
Factor 4*p**4 + 3040*p**3 + 580632*p**2 + 1152160*p + 574564.
4*(p + 1)**2*(p + 379)**2
Factor 2*u**4/9 - 46*u**3/9 + 314*u**2/9 - 34*u - 252.
2*(u - 9)**2*(u - 7)*(u + 2)/9
Factor 2*w**2/11 - 4776*w/11 - 9560/11.
2*(w - 2390)*(w + 2)/11
Factor -b**2 + 114*b - 3249.
-(b - 57)**2
Find p, given that -p**5 + 19*p**4 - 50*p**3 + 32*p**2 = 0.
0, 1, 2, 16
Factor l**4 + 102*l**3 - l**2 - 102*l.
l*(l - 1)*(l + 1)*(l + 102)
Find l such that l**3 + 88*l**2 + 87*l = 0.
-87, -1, 0
Factor -2*d**2/7 + 1836*d/7.
-2*d*(d - 918)/7
Find c, given that 5*c**2 - 65*c - 150 = 0.
-2, 15
Find z, given that z**3/4 + 34*z**2 + 1156*z = 0.
-68, 0
Factor 2*k**3 + 38*k**2 + 36*k.
2*k*(k + 1)*(k + 18)
Factor -25*b**2 - 190*b + 80.
-5*(b + 8)*(5*b - 2)
Find s such that -5*s**2 - 10*s + 175 = 0.
-7, 5
Factor -k**2/2 + 5*k/2 - 2.
-(k - 4)*(k - 1)/2
Factor 2*t**3 - 30*t**2 + 54*t - 26.
2*(t - 13)*(t - 1)**2
Determine c so that -3*c**3/2 + 126*c**2 - 5535*c/2 + 5043 = 0.
2, 41
Factor 3*j**4 + 48*j**3 + 87*j**2 + 42*j.
3*j*(j + 1)**2*(j + 14)
Find z such that 18*z**4 + 321*z**3/7 + 41*z**2 + 104*z/7 + 12/7 = 0.
-1, -2/3, -3/14
Find c, given that 4*c**3/5 + 168*c**2/5 - 756*c/5 - 184 = 0.
-46, -1, 5
Factor 5*y**4 - 5*y**2.
5*y**2*(y - 1)*(y + 1)
Factor z**5 - 5*z**4 + 4*z**3.
z**3*(z - 4)*(z - 1)
Factor -2*a**4 - 28*a**3 - 98*a**2.
-2*a**2*(a + 7)**2
Find s, given that s**2 + 26*s - 56 = 0.
-28, 2
Factor -4*z**2 - 36*z - 80.
-4*(z + 4)*(z + 5)
Find h, given that 2*h**2/9 - 334*h/9 - 676/9 = 0.
-2, 169
Find c such that -5*c**4 - 180*c**3 - 745*c**2 + 930*c = 0.
-31, -6, 0, 1
Factor -h**3/3 - h**2/3 + 2*h.
-h*(h - 2)*(h + 3)/3
Factor -l**4 - 7*l**3 + 3*l**2 + 55*l - 50.
-(l - 2)*(l - 1)*(l + 5)**2
Solve x**3 - 1589*x**2 - 6368*x - 6372 = 0 for x.
-2, 1593
Factor -2*p**3/7 - 2*p**2 - 8*p/7 + 24/7.
-2*(p - 1)*(p + 2)*(p + 6)/7
Factor 6*k**3 + 514*k**2 - 704*k - 696.
2*(k - 2)*(k + 87)*(3*k + 2)
Determine c so that -4*c**5/7 - 512*c**4/7 - 24576*c**3/7 - 524288*c**2/7 - 4194304*c/7 = 0.
-32, 0
Find p, given that -2*p**4 + 178*p**3 - 4140*p**2 + 37400*p - 118000 = 0.
10, 59
What is c in 5*c**4 - 15*c**3 - 30*c**2 + 40*c = 0?
-2, 0, 1, 4
Factor -3*n**2 - 27*n + 156.
-3*(n - 4)*(n + 13)
Suppose -2*j**4 - 14*j**3 - 22*j**2 + 14*j + 24 = 0. What is j?
-4, -3, -1, 1
What is r in 3*r**3 + 522*r**2 = 0?
-174, 0
Let f**5/9 + 14*f**4/9 + 41*f**3/9 - 56*f**2/9 = 0. What is f?
-8, -7, 0, 1
Factor 3*b**4 + 444*b**3 + 16866*b**2 + 32412*b + 15987.
3*(b + 1)**2*(b + 73)**2
Let 3*b**2 + 1626*b + 220323 = 0. Calculate b.
-271
Factor 7*r**5 - 16*r**4 - 101*r**3 + 30*r**2.
r**2*(r - 5)*(r + 3)*(7*r - 2)
Solve -2*r**2 - 6446*r = 0 for r.
-3223, 0
Factor m**3/7 - 4*m**2/7 - m + 10/7.
(m - 5)*(m - 1)*(m + 2)/7
Factor -2*z**2 + 42*z + 92.
-2*(z - 23)*(z + 2)
Determine f, given that -4*f**5/5 - 36*f**4/5 - 96*f**3/5 - 64*f**2/5 = 0.
-4, -1, 0
Suppose -35*y**3/8 - 69*y**2/4 - 33*y/2 + 1 = 0. Calculate y.
-2, 2/35
Factor -2*r**2/9 - 370*r/9 + 748/9.
-2*(r - 2)*(r + 187)/9
Let 3*n**5 + 18*n**4 - 6*n**3 - 108*n**2 + 3*n + 90 = 0. Calculate n.
-5, -3, -1, 1, 2
Determine k, given that k**2 + 11514*k + 33143049 = 0.
-5757
Solve -2*t**2 + 720*t - 64800 = 0.
180
Solve -p**5/2 - 29*p**4/2 + 127*p**3/2 - 163*p**2/2 + 33*p = 0 for p.
-33, 0, 1, 2
Suppose 2*g**5/17 + 8*g**4/17 - 2*g**3/17 - 8*g**2/17 = 0. Calculate g.
-4, -1, 0, 1
Determine r so that -4*r**4 - 116*r**3 - 424*r**2 + 1344*r = 0.
-24, -7, 0, 2
Determine d so that 2*d**5/9 - 3802*d**4/9 + 7598*d**3/9 - 422*d**2 = 0.
0, 1, 1899
Find n, given that -n**4/3 - n**3 + 5*n**2 - 17*n/3 + 2 = 0.
-6, 1
Factor 3*k**3 - 106*k**2 - 307*k + 114.
(k - 38)*(k + 3)*(3*k - 1)
Let -4*c**5 - 100*c**4 + 324*c**3 - 332*c**2 + 112*c = 0. What is c?
-28, 0, 1
Let -4*m**3/5 - 148*m**2/5 + 308*m/5 - 156/5 = 0. What is m?
-39, 1
Factor 2*b**4/9 - 2*b**3/9 - 2*b**2 - 22*b/9 - 8/9.
2*(b - 4)*(b + 1)**3/9
Factor -10*k**2 + 1055*k + 530.
-5*(k - 106)*(2*k + 1)
Let -5*o**3/6 + 25*o**2/2 + 10*o/3 - 50 = 0. What is o?
-2, 2, 15
Suppose -6*h**4 - 5290*h**3 - 1170404*h**2 - 1939520*h - 774400 = 0. What is h?
-440, -1, -2/3
Find i, given that 3*i**5 - 4*i**4 - 85*i**3 - 210*i**2 - 188*i - 56 = 0.
-2, -1, -2/3, 7
Determine z so that -6*z**2 - 460*z - 304 = 0.
-76, -2/3
Suppose -2*l**4/11 - 13340*l**3/11 - 22231106*l**2/11 + 44502240*l/11 - 22257792/11 = 0. What is l?
-3336, 1
Factor -5*s**3 + 30*s**2 + 5*s - 30.
-5*(s - 6)*(s - 1)*(s + 1)
Suppose 3*m**3 + 33*m**2 + 72*m - 108 = 0. What is m?
-6, 1
What is p in 8*p**4 - 86*p**3 + 298*p**2 - 304*p - 96 = 0?
-1/4, 3, 4
Factor m**3/6 + 11*m**2/6 - 7*m/3 - 4.
(m - 2)*(m + 1)*(m + 12)/6
Find z, given that -2*z**4 - 33*z**3/2 - 38*z**2 - 57*z/2 - 5 = 0.
-5, -2, -1, -1/4
Factor 2*m**2 - 142*m - 144.
2*(m - 72)*(m + 1)
Factor q**3/2 + 2349*q**2/2 + 1839267*q/2 + 480048687/2.
(q + 783