40*u**3 - 1048280*u**2 - 690000*u - 152352.
-4*(u + 69)**2*(3*u + 2)**3
Determine d so that 3*d**3/7 - 360*d**2/7 + 711*d/7 - 354/7 = 0.
1, 118
Factor 1156*k**2 - 2652*k + 1521.
(34*k - 39)**2
Let 72*n**5 + 282*n**4 + 362*n**3 + 194*n**2 + 46*n + 4 = 0. What is n?
-2, -1, -1/3, -1/4
Factor -2*k**3 - 110*k**2 - 316*k - 208.
-2*(k + 1)*(k + 2)*(k + 52)
Factor 9*j**3 + 165*j**2 + 192*j - 204.
3*(j + 2)*(j + 17)*(3*j - 2)
Factor -2*p**2 + 70*p - 68.
-2*(p - 34)*(p - 1)
Factor -4*j**2 + 128*j + 8192.
-4*(j - 64)*(j + 32)
Suppose -2*n**4 + 82*n**3 - 798*n**2 - 882*n = 0. What is n?
-1, 0, 21
Factor 14450*y**2/11 + 8160*y/11 + 1152/11.
2*(85*y + 24)**2/11
Suppose 98*z**4/17 - 1764*z**3/17 + 7930*z**2/17 + 144*z/17 - 648/17 = 0. Calculate z.
-2/7, 2/7, 9
Factor -4*a**2 - 8*a + 12.
-4*(a - 1)*(a + 3)
Suppose -2*n**3/9 - 110*n**2/3 + 74*n - 334/9 = 0. What is n?
-167, 1
Solve 27*s**5/5 - 198*s**4/5 - 852*s**3/5 + 1368*s**2/5 - 96*s = 0.
-4, 0, 2/3, 10
Find k, given that -3*k**5/4 + 33*k**4/2 + 147*k**3/2 + 114*k**2 + 309*k/4 + 39/2 = 0.
-1, 26
Suppose 6*c**4/5 + 16*c**3/5 + 14*c**2/5 + 4*c/5 = 0. What is c?
-1, -2/3, 0
Factor -o**3 + 889*o**2 - 196240*o - 596748.
-(o - 446)**2*(o + 3)
Factor 2*r**2/5 + 84*r/5.
2*r*(r + 42)/5
Let -4*p**3 - 32*p**2 + 4*p + 32 = 0. Calculate p.
-8, -1, 1
What is r in 37636*r**3 + 38024*r**2 - 65280*r + 18432 = 0?
-2, 48/97
Factor 196*g**4 + 224*g**3 - 132*g**2 - 224*g - 64.
4*(g - 1)*(g + 1)*(7*g + 4)**2
Factor h**4/4 - 27*h**3/4 + 37*h**2/2 - 12*h.
h*(h - 24)*(h - 2)*(h - 1)/4
Factor 4*m**5/9 - 28*m**4/9 + 8*m**3 - 80*m**2/9 + 32*m/9.
4*m*(m - 2)**3*(m - 1)/9
Determine w so that 10*w**5/3 - 28*w**4/3 - 54*w**3/5 + 484*w**2/15 - 56*w/3 + 16/5 = 0.
-2, 2/5, 1, 3
Let -2*u**5/13 - 18*u**4 - 6228*u**3/13 + 36460*u**2/13 - 24522*u/13 - 66978/13 = 0. Calculate u.
-61, -1, 3
Factor 3*m**2 + 156*m + 300.
3*(m + 2)*(m + 50)
Factor -4*i**5 - 108*i**4 - 972*i**3 - 2916*i**2.
-4*i**2*(i + 9)**3
Determine c, given that -3*c**2/11 - 340*c/11 - 113/11 = 0.
-113, -1/3
Factor 2*c**4/7 - 2*c**3/7 - 2*c**2/7 + 2*c/7.
2*c*(c - 1)**2*(c + 1)/7
Factor b**3/5 + b**2 + 3*b/5 - 9/5.
(b - 1)*(b + 3)**2/5
Determine j, given that -2*j**4 - 14*j**3 - 30*j**2 - 26*j - 8 = 0.
-4, -1
Find f, given that f**5/2 - 2*f**3 = 0.
-2, 0, 2
Factor 5*u**3 - 12645*u**2 + 8001120*u - 7988480.
5*(u - 1264)**2*(u - 1)
Factor 5*z**4 + 147*z**3 - 92*z**2 - 60*z.
z*(z - 1)*(z + 30)*(5*z + 2)
What is w in -5*w**5 - 195*w**4/2 + 165*w**3 + 305*w**2/2 - 105*w = 0?
-21, -1, 0, 1/2, 2
Solve 4*b**4 - 4*b**3 = 0 for b.
0, 1
Factor -2*u**2/5 + 82*u/5 - 84.
-2*(u - 35)*(u - 6)/5
Find g such that -3*g**5 - 12*g**4 - 9*g**3 = 0.
-3, -1, 0
Factor -4*c**2/3 + 44*c/3 - 32.
-4*(c - 8)*(c - 3)/3
Factor -4*o**2 - 64*o + 144.
-4*(o - 2)*(o + 18)
Factor -5*q**2 - 15570*q - 15565.
-5*(q + 1)*(q + 3113)
What is n in -4*n**5 + 92*n**4 - 389*n**3 + 538*n**2 - 291*n + 54 = 0?
1/2, 1, 3, 18
What is z in -3*z**4 - 948*z**3 + 2862*z**2 - 2868*z + 957 = 0?
-319, 1
Suppose -2*i**4/7 - 2*i**3/7 + 2*i**2/7 + 2*i/7 = 0. Calculate i.
-1, 0, 1
Factor 5*m**2 + 25*m.
5*m*(m + 5)
Factor -t**3/8 - 11*t**2/8 + 3*t/2.
-t*(t - 1)*(t + 12)/8
Factor 3*q**3 + 102*q**2 + 528*q + 672.
3*(q + 2)*(q + 4)*(q + 28)
Factor 5*s**3 + 10920*s**2 + 7949760*s + 1929141760.
5*(s + 728)**3
Factor b**2/7 + 261*b/7.
b*(b + 261)/7
Let -f**3 + 304*f**2 - 25344*f + 331776 = 0. Calculate f.
16, 144
Factor -3*g**2/7 + 204*g/7 - 396/7.
-3*(g - 66)*(g - 2)/7
Factor b**4/4 + b**3/2 - 29*b**2/4 + 21*b/2.
b*(b - 3)*(b - 2)*(b + 7)/4
Find a such that 2*a**4/15 + 56*a**3/5 + 246*a**2 + 6724*a/15 = 0.
-41, -2, 0
Factor 3*t**3 - 114*t**2 + 1344*t - 4608.
3*(t - 16)**2*(t - 6)
What is a in -a**2/2 + 13*a = 0?
0, 26
Suppose h**4/4 + 19*h**3 + 599*h**2/2 - 2337*h + 15129/4 = 0. Calculate h.
-41, 3
Factor 3*b**2 - 3396*b - 3399.
3*(b - 1133)*(b + 1)
Factor -4*s**2 - 24*s.
-4*s*(s + 6)
Let -2*b**4/13 - 12*b**3/13 + 32*b**2/13 = 0. Calculate b.
-8, 0, 2
Suppose -m**2/4 + 5*m/4 = 0. Calculate m.
0, 5
Factor -i**2/3 - 116*i/3 + 236/3.
-(i - 2)*(i + 118)/3
Determine u, given that -70*u**5 + 305*u**4 - 520*u**3 + 430*u**2 - 170*u + 25 = 0.
5/14, 1
Find v, given that 2*v**4/7 + 32*v**3/7 + 166*v**2/7 + 304*v/7 + 24 = 0.
-7, -6, -2, -1
Factor -14*a**2/17 - 1444*a/17 - 206/17.
-2*(a + 103)*(7*a + 1)/17
Find j such that 2*j**2 + 2372*j + 703298 = 0.
-593
Suppose -d**3/2 - d**2 + 19*d/2 + 10 = 0. Calculate d.
-5, -1, 4
Let -q**5 + 18*q**4 - 108*q**3 + 216*q**2 = 0. Calculate q.
0, 6
Factor 4*m**2 - 4*m - 168.
4*(m - 7)*(m + 6)
Solve -j**5 + 17*j**4 - 39*j**3 - 53*j**2 + 160*j - 84 = 0.
-2, 1, 3, 14
Determine w so that -2*w**4 + 4*w**3 + 2*w**2 - 4*w = 0.
-1, 0, 1, 2
Suppose 2*g**4 + 8*g**3 - 66*g**2 - 8*g + 64 = 0. Calculate g.
-8, -1, 1, 4
What is f in -8*f**2/3 - f + 5/3 = 0?
-1, 5/8
Factor 3*x**2 - 336*x.
3*x*(x - 112)
Suppose -4*j**2 + 764*j - 8592 = 0. What is j?
12, 179
Factor 2*k**2/9 + 148*k/9 - 304/9.
2*(k - 2)*(k + 76)/9
Suppose -c**4 + 24*c**3 - 88*c**2 - 672*c - 784 = 0. What is c?
-2, 14
What is s in s**2 + 26*s + 69 = 0?
-23, -3
Suppose -3*n**4/4 + 2*n**3 - 3*n**2/2 + 1/4 = 0. Calculate n.
-1/3, 1
Factor 2*x**2/9 + 25220*x/9 + 79506050/9.
2*(x + 6305)**2/9
Find j, given that 16*j**3 - 12*j**2 - 36*j - 8 = 0.
-1, -1/4, 2
Solve -x**2/3 + 29*x - 1862/3 = 0.
38, 49
Find w such that 8*w**3 + 4*w**2 - 32*w + 20 = 0.
-5/2, 1
Factor -4*b**5 + 40*b**3 + 80*b**2 + 60*b + 16.
-4*(b - 4)*(b + 1)**4
Find x, given that -2*x**2/11 + 98*x/11 - 276/11 = 0.
3, 46
Find k, given that -2*k**2 - 2*k + 4 = 0.
-2, 1
Factor -6250*i**3 + 25500*i**2 - 34680*i + 78608/5.
-2*(25*i - 34)**3/5
Let -3*u**4/5 + 21*u**3/5 - 48*u**2/5 + 36*u/5 = 0. Calculate u.
0, 2, 3
Determine p so that -4*p**4/9 - 40*p**3/3 - 208*p**2/3 + 4216*p/9 - 1156/3 = 0.
-17, 1, 3
Find m such that -2*m**4 - 4*m**3 + 46*m**2 + 48*m - 288 = 0.
-4, 3
What is d in -d**2/4 - 31*d/4 = 0?
-31, 0
Determine h so that -5*h**2 - 2040*h - 208080 = 0.
-204
Factor -q**2/7 + 418*q/7 - 43681/7.
-(q - 209)**2/7
What is g in g**4 - 3*g**3 - g**2 + 3*g = 0?
-1, 0, 1, 3
Suppose 5*n**3 - 625*n**2 + 19840*n - 19220 = 0. Calculate n.
1, 62
Factor -4*k**2 - 28*k + 680.
-4*(k - 10)*(k + 17)
Let -2*s**3 + 50*s**2 - 176*s + 168 = 0. Calculate s.
2, 21
Find u such that 2*u**5 - u**4 - 24*u**3 + 44*u**2 - 16*u = 0.
-4, 0, 1/2, 2
Factor w**2/4 + 13*w/2 + 12.
(w + 2)*(w + 24)/4
Factor h**5/4 + 67*h**4/4 + 883*h**3/4 - 17371*h**2/4 - 58870*h + 609725.
(h - 10)**2*(h + 29)**3/4
Factor w**3/3 - 8*w**2 - 4*w/3 + 32.
(w - 24)*(w - 2)*(w + 2)/3
Factor 5*f**2 + 72*f/7 + 4/7.
(f + 2)*(35*f + 2)/7
Determine u so that 2*u**3 + 172*u**2 + 662*u + 492 = 0.
-82, -3, -1
Factor 3*z**5/4 - 9*z**4/4 - 3*z**3 + 12*z**2 - 12.
3*(z - 2)**3*(z + 1)*(z + 2)/4
Factor -3*t**2 - 108*t.
-3*t*(t + 36)
Factor -3*g**2/8 + 63*g/4 - 57.
-3*(g - 38)*(g - 4)/8
Suppose 3*u**2 - 3540*u + 1044300 = 0. Calculate u.
590
Suppose -5*j**3 + 14760*j**2 - 14523840*j + 4763819520 = 0. What is j?
984
Factor y**2 - 20*y - 96.
(y - 24)*(y + 4)
Let -5*z**5/3 + 47*z**4/3 - 51*z**3 + 209*z**2/3 - 122*z/3 + 8 = 0. What is z?
2/5, 1, 3, 4
Factor 2*u**3/9 + 12*u**2 + 640*u/3 + 11264/9.
2*(u + 16)**2*(u + 22)/9
Determine v so that v**3/2 - 3*v**2/2 - 45*v/2 + 175/2 = 0.
-7, 5
Suppose 12*a**5 + 100*a**4 + 320*a**3 + 480*a**2 + 320*a + 64 = 0. Calculate a.
-2, -1/3
Factor 10*t**2 - 4065*t + 2030.
5*(t - 406)*(2*t - 1)
Find s such that -4*s**3 + 48*s**2 - 116*s + 72 = 0.
1, 2, 9
Find v such that v**2 + 100*v - 309 = 0.
-103, 3
Let -46*x**3/7 + 124*x**2/7 - 110*x/7 + 32/7 = 0. What is x?
16/23, 1
Factor -2*v**3/5 - 46*v**2/5 + 226*v/5 + 54.
-2*(v - 5)*(v + 1)*(v + 27)/5
Factor 2*j**3/13 + 290*j**2/13 + 502*j + 3094.
2*(j + 13)**2*(j + 119)/13
Determine l so that 18*l**3/5 - 2*l**2/5 - 4*l = 0.
-1, 0, 10/9
Find l, given that -2*l**3 - 1324*l**2 - 220440*l - 435600 = 0.
-330, -2
Factor -24*o**3/7 - 76*o**2/7 - 16*o/7 + 80/7.
-4*(o + 2)**2*(6*o - 5)/7
Factor -6*a**3/11 + 108*a**2 + 7290*a/11 + 11016/11.
-6*(a - 204)*(a + 3)**2/11
Suppose 4*w**2 - 188*w - 192 = 0. What is w?
-1, 48
Solve a**4/2 + 7*a**3 - 11*a**2/2 - 210*a + 450 = 0 for a.
-10, 3
Solve 2*g**4/11 + 62*g**3/11 + 34*g**2/11 - 2462*g/11 - 2436/11 = 0 for g.
-29, -7, -1, 6
Factor -3*h**2 + 10752*h - 9633792.
-3*(h - 1792)**2
F