, 1
Solve -c**2/3 + 139*c/3 - 46 = 0 for c.
1, 138
Factor -90738*x**2/7 + 1704*x/7 - 8/7.
-2*(213*x - 2)**2/7
Factor 2*u**2/7 - 30*u - 212/7.
2*(u - 106)*(u + 1)/7
Determine d, given that 5*d**2 + 685*d + 2660 = 0.
-133, -4
Find o, given that -5*o**4/6 - 5*o**3/6 + 20*o**2/3 + 10*o = 0.
-2, 0, 3
Find z, given that 2*z**2/3 + 400*z/3 - 808/3 = 0.
-202, 2
Determine g so that 2*g**4/5 - 14*g**3/3 + 44*g**2/15 = 0.
0, 2/3, 11
Let 2*l**5 + 164*l**4/7 - 90*l**3/7 - 464*l**2/7 + 472*l/7 - 96/7 = 0. Calculate l.
-12, -2, 2/7, 1
Factor -y**3 + 247*y**2 - 15128*y - 15376.
-(y - 124)**2*(y + 1)
Find c, given that -2*c**4/11 + 28*c**3 - 1078*c**2 = 0.
0, 77
Determine b, given that 2*b**4 + 14*b**3 + 4*b**2 - 56*b - 48 = 0.
-6, -2, -1, 2
Factor 3*w**3 - 84*w**2 + 300*w - 288.
3*(w - 24)*(w - 2)**2
Factor 50*u**3/11 - 3130*u**2/11 - 1258*u/11 - 126/11.
2*(u - 63)*(5*u + 1)**2/11
Let -5*p**4 + 95*p**3 - 400*p**2 - 500*p = 0. Calculate p.
-1, 0, 10
Factor -p**5 + 2*p**4 + 18*p**3 + 32*p**2 + 23*p + 6.
-(p - 6)*(p + 1)**4
Find q, given that 2*q**4/5 - 2*q**3 - 12*q**2/5 = 0.
-1, 0, 6
Suppose -50*u**3 - 1895*u**2 + 2140*u - 195 = 0. Calculate u.
-39, 1/10, 1
Let -s**2/2 - 31*s + 63/2 = 0. Calculate s.
-63, 1
Factor 3*k**5/4 - 27*k**4/4 + 18*k**3 - 12*k**2.
3*k**2*(k - 4)**2*(k - 1)/4
Factor -2*t**2/9 + 70*t.
-2*t*(t - 315)/9
Let 10*j**5 - 1378*j**4 + 47334*j**3 + 9522*j**2 = 0. What is j?
-1/5, 0, 69
Factor 3*x**4/7 - 36*x**3/7 + 9*x**2 - 30*x/7.
3*x*(x - 10)*(x - 1)**2/7
Factor -c**2/2 + 23*c/4 - 11/4.
-(c - 11)*(2*c - 1)/4
Find m such that -m**3 - 17*m**2 + 60*m = 0.
-20, 0, 3
Let -2*l**3 - 182*l**2 - 176*l + 360 = 0. What is l?
-90, -2, 1
Factor 5*g**2 + 780*g.
5*g*(g + 156)
Solve -2*w**2 - 1760*w - 7008 = 0 for w.
-876, -4
Factor 2*c**4 - 67*c**3 + 96*c**2 + c - 32.
(c - 32)*(c - 1)**2*(2*c + 1)
Solve 2*t**4/7 + 164*t**3/7 - 5400*t**2/7 + 51516*t/7 - 158922/7 = 0.
-109, 9
Factor 5*b**3 - 20*b**2 + 5*b + 30.
5*(b - 3)*(b - 2)*(b + 1)
Factor -3*p**3 + 975*p**2 + 1959*p + 981.
-3*(p - 327)*(p + 1)**2
Find f such that -11*f**5 + 15*f**4 + 7*f**3 - 15*f**2 + 4*f = 0.
-1, 0, 4/11, 1
What is r in 4*r**5/7 - 284*r**4/7 + 7464*r**3/7 - 12104*r**2 + 320212*r/7 + 58956 = 0?
-1, 17, 21
Factor 2*c**3/11 + 34*c**2/11 + 152*c/11 + 120/11.
2*(c + 1)*(c + 6)*(c + 10)/11
Factor -m**4/2 - m**3 + 3*m**2/2 + 4*m + 2.
-(m - 2)*(m + 1)**2*(m + 2)/2
Factor 2*s**4 + 172*s**3 + 4178*s**2 + 20640*s + 28800.
2*(s + 3)**2*(s + 40)**2
Factor -z**5/7 + z**4/7 + 5*z**3/7 + 3*z**2/7.
-z**2*(z - 3)*(z + 1)**2/7
Solve p**3/3 - 725*p**2/3 - 1453*p/3 - 727/3 = 0.
-1, 727
Factor 2*g**4/9 + 22*g**3/9.
2*g**3*(g + 11)/9
Solve 5*f**3 - 635*f**2 + 22200*f - 126000 = 0 for f.
7, 60
Factor -4*i**2 + 28*i + 72.
-4*(i - 9)*(i + 2)
Let -3*u**3 - 84*u**2 + 93*u + 174 = 0. What is u?
-29, -1, 2
Factor v**2/2 - 13*v/2 + 20.
(v - 8)*(v - 5)/2
Determine b, given that 4*b**3 + 12488*b**2 - 4*b - 12488 = 0.
-3122, -1, 1
Solve -4*s**3/3 + 188*s**2/3 - 288*s + 336 = 0 for s.
2, 3, 42
Let -s**3/6 + 62*s**2/3 + 251*s/6 + 21 = 0. What is s?
-1, 126
Factor -4*z**4 - 272*z**3 - 268*z**2.
-4*z**2*(z + 1)*(z + 67)
What is d in -d**2/2 - 13*d/2 - 20 = 0?
-8, -5
Factor 3*f**2 - 39*f + 66.
3*(f - 11)*(f - 2)
Factor -p**4 + 65*p**3 - 1386*p**2 + 9196*p + 10648.
-(p - 22)**3*(p + 1)
Factor 6*s**4/5 - 2*s**3 + 2*s**2/5 + 2*s/5.
2*s*(s - 1)**2*(3*s + 1)/5
Suppose m**2 - 83*m + 666 = 0. Calculate m.
9, 74
Factor -5*a**2 + 100*a - 500.
-5*(a - 10)**2
Determine v so that -2*v**3 + 294*v**2 + 602*v - 894 = 0.
-3, 1, 149
Factor -2*c**4/5 + 4*c**3/5 + 8*c**2 + 48*c/5.
-2*c*(c - 6)*(c + 2)**2/5
What is x in -x**5 - x**4 + 5*x**3 - 3*x**2 = 0?
-3, 0, 1
Determine o so that -o**5/3 + 18*o**4 - 100*o**3/3 - 72*o**2 + 416*o/3 = 0.
-2, 0, 2, 52
Determine u, given that 2*u**4 - 12*u**3 + 16*u**2 + 12*u - 18 = 0.
-1, 1, 3
Suppose -4*m**3/7 + 10*m**2/7 - 8*m/7 + 2/7 = 0. What is m?
1/2, 1
Factor -f**4/6 - 7*f**3/6 + 3*f**2/2 + 7*f/6 - 4/3.
-(f - 1)**2*(f + 1)*(f + 8)/6
Suppose -3*g**4 - 3*g**3 + 24*g**2 + 36*g = 0. What is g?
-2, 0, 3
Let 4*f**2/5 - 124*f/5 - 112 = 0. What is f?
-4, 35
Factor -2*y**3/5 + 2598*y**2/5 - 1124934*y/5 + 162365474/5.
-2*(y - 433)**3/5
Find x, given that 96*x**4/11 + 80*x**3/11 - 106*x**2/11 - 62*x/11 - 8/11 = 0.
-4/3, -1/4, 1
Solve -2*s**4/19 - 148*s**3/19 + 154*s**2/19 + 300*s/19 = 0 for s.
-75, -1, 0, 2
What is i in -i**2 - 29*i + 390 = 0?
-39, 10
Factor w**3 - 211*w**2 - 640*w - 428.
(w - 214)*(w + 1)*(w + 2)
Factor -26*m**2/5 - 162*m - 124/5.
-2*(m + 31)*(13*m + 2)/5
Factor 5*p**2 - 280*p + 3920.
5*(p - 28)**2
What is s in -s**2/5 - 129*s/5 + 26 = 0?
-130, 1
Suppose 375*j**3 + 1575*j**2 + 2205*j + 1029 = 0. What is j?
-7/5
Let 2*z**2 - 11104*z + 15412352 = 0. What is z?
2776
Factor -2*c**5/3 - 10*c**4/3 - 14*c**3/3 - 2*c**2.
-2*c**2*(c + 1)**2*(c + 3)/3
Let 2*x**5/5 - 16*x**4/5 + 36*x**3/5 - 8*x**2/5 - 38*x/5 + 24/5 = 0. What is x?
-1, 1, 3, 4
Determine j, given that -3*j**4 - 21*j**3 + 57*j**2 + 21*j - 54 = 0.
-9, -1, 1, 2
Factor 2*t**4 - 16*t**3 + 32*t**2.
2*t**2*(t - 4)**2
Solve -3*p**2 + 684*p + 6399 = 0 for p.
-9, 237
Factor 4*b**2 - 28*b + 24.
4*(b - 6)*(b - 1)
Factor -j**3/4 + 3*j**2/4 + 49*j/4 + 45/4.
-(j - 9)*(j + 1)*(j + 5)/4
What is w in -5*w**5/4 + 185*w**4/4 + 15*w**3 - 535*w**2 - 740*w = 0?
-2, 0, 4, 37
Factor -j**2/3 + 107*j/3 - 106/3.
-(j - 106)*(j - 1)/3
Factor -d**4 - 194*d**3 + 196*d**2 + 194*d - 195.
-(d - 1)**2*(d + 1)*(d + 195)
Factor -4*x**2 + 36*x + 40.
-4*(x - 10)*(x + 1)
Suppose -u**2 - 14*u/3 + 17/3 = 0. Calculate u.
-17/3, 1
Let w**2/3 - 302*w + 68403 = 0. Calculate w.
453
Factor -5*t**4 + 35*t**3 + 15*t**2 - 275*t - 250.
-5*(t - 5)**2*(t + 1)*(t + 2)
Factor -2*s**2/11 - 20*s/11 + 1200/11.
-2*(s - 20)*(s + 30)/11
Let -4*c**4/5 + 88*c**3/5 - 16*c**2 - 88*c/5 + 84/5 = 0. Calculate c.
-1, 1, 21
Determine n so that n**2 + 292*n - 293 = 0.
-293, 1
Suppose -3*k**4/2 + 33*k**3/2 - 36*k**2 - 6*k + 48 = 0. Calculate k.
-1, 2, 8
Suppose -n**2/2 - 2271*n - 5157441/2 = 0. Calculate n.
-2271
Factor 2*m**4 - 54*m**3 + 302*m**2 - 450*m + 200.
2*(m - 20)*(m - 5)*(m - 1)**2
Factor -5*g**5/2 - 60*g**4 - 115*g**3/2.
-5*g**3*(g + 1)*(g + 23)/2
Factor -2*v**2 + 104*v - 1352.
-2*(v - 26)**2
Solve 2*y**4/11 - 56*y**3/11 + 236*y**2/11 - 120*y/11 - 414/11 = 0 for y.
-1, 3, 23
What is v in -v**4 + v**3 + 15*v**2 + 23*v + 10 = 0?
-2, -1, 5
What is c in -3*c**4 - 126*c**3 + 405*c**2 = 0?
-45, 0, 3
Factor 542*s**3 - 1092*s**2 + 558*s - 8.
2*(s - 1)**2*(271*s - 4)
Let 2*h**5 - 26*h**4 + 92*h**3 - 24*h**2 - 144*h = 0. Calculate h.
-1, 0, 2, 6
Let k**3/5 + k**2/5 - 16*k/5 + 4 = 0. Calculate k.
-5, 2
Suppose 5*a**2/4 + 75*a/4 - 85/2 = 0. Calculate a.
-17, 2
Factor 845*r**2 + 110*r.
5*r*(169*r + 22)
Factor -2*h**2/11 - 752*h/11 - 70688/11.
-2*(h + 188)**2/11
Find z such that -z**2 - 7*z - 12 = 0.
-4, -3
Suppose -h**5/6 + 2*h**4/3 - h**3/6 - 7*h**2/3 + 10*h/3 - 4/3 = 0. Calculate h.
-2, 1, 2
Factor z**4/8 - 11*z**3/4 + 157*z**2/8 - 99*z/2 + 81/2.
(z - 9)**2*(z - 2)**2/8
What is y in 9*y**5 + 48*y**4 + 9*y**3 - 30*y**2 = 0?
-5, -1, 0, 2/3
Determine k so that 3*k**3/8 - 9*k/8 - 3/4 = 0.
-1, 2
Determine y so that y**4/4 + 8*y**3 + 61*y**2/4 + 15*y/2 = 0.
-30, -1, 0
Determine j so that 3*j**5 - 54*j**4 + 141*j**3 - 90*j**2 = 0.
0, 1, 2, 15
Factor 2*y**4/9 + 4*y**3/9 + 2*y**2/9.
2*y**2*(y + 1)**2/9
Let -21*p**5/4 - 55*p**4/4 + 203*p**3/2 - 33*p**2 - 18*p = 0. Calculate p.
-6, -2/7, 0, 2/3, 3
Factor x**3/4 - 21*x**2/4 - 90*x - 297.
(x - 33)*(x + 6)**2/4
Determine m so that 2*m**3/11 + 12*m**2/11 - 72*m/11 + 80/11 = 0.
-10, 2
Solve -2*u**2/17 + 456*u/17 - 25992/17 = 0.
114
Determine c, given that -2*c**4/7 - 54*c**3/7 - 144*c**2/7 = 0.
-24, -3, 0
Determine p so that 17*p**3/2 + 15*p**2/2 - p = 0.
-1, 0, 2/17
Factor -2*w**2/11 + 4*w/11 + 6/11.
-2*(w - 3)*(w + 1)/11
What is l in 3*l**2 + 36*l + 108 = 0?
-6
Factor 9*y**3 + 87*y**2 + 280*y + 300.
(y + 3)*(3*y + 10)**2
Find u, given that -2*u**4/9 + 202*u**3/9 + 140*u**2/3 - 808*u/9 - 1648/9 = 0.
-2, 2, 103
Factor 4*x**3 - 584*x**2 + 21316*x.
4*x*(x - 73)**2
Suppose -r**2 + 61*r - 280 = 0. Calculate r.
5, 56
Let 5*z**2/4 + 85*z/4 - 45/2 = 0. What is z?
-18, 1
Factor -3*q**2/2 + 39*q/2 + 210.
-3*(q - 20)*(q + 7)/2
Suppose 2*n**3/5 - 164*n**2/5 - 334*n/5 - 168/5 = 0. Calculat