- 705)*(4*s + 1)
Let 2*z**2 + 468*z - 1422 = 0. Calculate z.
-237, 3
Find m, given that -6*m**5 + 3*m**4 + 9*m**3 - 3*m**2 - 3*m = 0.
-1, -1/2, 0, 1
Factor 5*p**4 - 105*p**3 - 115*p**2 + 105*p + 110.
5*(p - 22)*(p - 1)*(p + 1)**2
Factor -2*f**4 - 156*f**3 - 456*f**2 - 452*f - 150.
-2*(f + 1)**3*(f + 75)
Let -3*d**2/2 + 648*d - 69984 = 0. Calculate d.
216
Solve 2*k**3/3 + 4262*k**2 + 9082322*k + 19354428182/3 = 0.
-2131
Solve -5*w**4/4 - 45*w**3/4 - 45*w**2/2 + 5*w + 30 = 0 for w.
-6, -2, 1
Factor -2*g**2 - 6432*g - 5171328.
-2*(g + 1608)**2
Factor 3*f**4/2 + 15*f**3.
3*f**3*(f + 10)/2
Determine h, given that -2*h**2/7 + 58*h/7 - 8 = 0.
1, 28
Find f such that -4*f**4/7 + 132*f**3/7 - 128*f**2/7 = 0.
0, 1, 32
Find z, given that z**3/4 - 551*z**2/4 - 279*z/2 + 828 = 0.
-3, 2, 552
Factor v**3 + 6*v**2 - v - 6.
(v - 1)*(v + 1)*(v + 6)
Suppose 2*n**3/5 - 18*n**2/5 = 0. What is n?
0, 9
Solve -3*n**5/4 - 3*n**4/4 + 15*n**3/4 + 15*n**2/4 - 3*n - 3 = 0 for n.
-2, -1, 1, 2
What is g in 4*g**4 + 140*g**3 - 800*g**2 = 0?
-40, 0, 5
Suppose 3*f**5 - 21*f**4 + 45*f**3 - 27*f**2 = 0. Calculate f.
0, 1, 3
Let 4*i**5/5 - 206*i**4/15 + 172*i**3/3 - 1486*i**2/15 + 1156*i/15 - 112/5 = 0. What is i?
1, 7/6, 2, 12
Solve -a**3/2 + 2*a**2/3 - a/6 = 0.
0, 1/3, 1
Let 125*h**5 - 400*h**4 - 1880*h**3 - 1280*h**2 - 240*h = 0. What is h?
-2, -2/5, 0, 6
Factor -4*r**2 - 43000*r - 115562500.
-4*(r + 5375)**2
Factor m**3/6 - 4*m**2/3 + 13*m/6 - 1.
(m - 6)*(m - 1)**2/6
Solve d**3/7 + 32*d**2/7 - 67*d/7 + 34/7 = 0.
-34, 1
Determine t, given that t**3 + 104*t**2 + 2989*t + 14406 = 0.
-49, -6
Solve -5*z**5 + 315*z**4 + 30*z**3 - 1850*z**2 - 2505*z - 945 = 0 for z.
-1, 3, 63
Factor m**5/6 - 5*m**4/2 + 13*m**3/3.
m**3*(m - 13)*(m - 2)/6
Suppose 2*s**2 - 92*s = 0. Calculate s.
0, 46
Determine o so that 484*o**3/5 - 836*o**2/5 - 51*o - 18/5 = 0.
-3/22, 2
Factor -4*h**4/3 + 19792*h**3/3 - 8167496*h**2 + 48945616*h/3 - 24462916/3.
-4*(h - 2473)**2*(h - 1)**2/3
Factor o**4 + 2123*o**3 + 1501668*o**2 + 353391120*o - 354894912.
(o - 1)*(o + 708)**3
Factor 36*d**3/5 - 404*d**2/5 + 448*d/5 - 16.
4*(d - 10)*(d - 1)*(9*d - 2)/5
Solve -4*y**4/9 - 104*y**3/9 - 676*y**2/9 = 0 for y.
-13, 0
Suppose 3*k**4 + 269*k**3 - 639*k**2 + 459*k - 92 = 0. What is k?
-92, 1/3, 1
What is x in -257049*x**2/2 - 507*x - 1/2 = 0?
-1/507
Factor a**2/3 + 212*a/3 - 71.
(a - 1)*(a + 213)/3
Suppose 183*a**3/2 - 189*a**2/2 + 3*a = 0. What is a?
0, 2/61, 1
Factor n**2/6 - 25*n/6.
n*(n - 25)/6
Factor -a**3 + 4*a**2 + 3*a - 18.
-(a - 3)**2*(a + 2)
Suppose -4*t**4 + 4*t**3 + 32*t**2 - 48*t = 0. Calculate t.
-3, 0, 2
Let -14*d**3/5 + 4*d**2/5 + 56*d/5 - 16/5 = 0. Calculate d.
-2, 2/7, 2
Find d, given that -2*d**5/11 + 4*d**4/11 + 10*d**3/11 - 20*d**2/11 - 8*d/11 + 16/11 = 0.
-2, -1, 1, 2
Factor -2*c**2 - 302*c - 300.
-2*(c + 1)*(c + 150)
Let -m**4/2 - m**3 = 0. Calculate m.
-2, 0
Determine l so that 3*l**5 + 99*l**4 - 435*l**3 - 20067*l**2 + 140400*l - 120000 = 0.
-25, 1, 8
Find p such that -4*p**3 + 36*p**2 - 24*p - 224 = 0.
-2, 4, 7
Determine u so that -5*u**4/3 + 79*u**3 - 929*u**2/3 - 247*u + 430/3 = 0.
-1, 2/5, 5, 43
Find d, given that d**5/4 + 815*d**4/2 + 265690*d**3 + 86614940*d**2 + 14118235220*d + 920508936344 = 0.
-326
Factor -2*g**3/9 + 2*g**2/9 + 10*g/9 + 2/3.
-2*(g - 3)*(g + 1)**2/9
Suppose -5*p**3/3 - 23*p**2 - 17*p + 13/3 = 0. Calculate p.
-13, -1, 1/5
Factor -5*a**5 + 32*a**4 - 12*a**3.
-a**3*(a - 6)*(5*a - 2)
Find d, given that 10*d**3 - 3156*d**2 - 10834*d - 3828 = 0.
-3, -2/5, 319
Find s such that -s**2/4 - 3*s/4 - 1/2 = 0.
-2, -1
Solve o**2/6 + 67*o/6 - 73 = 0 for o.
-73, 6
Factor 2*y**4/17 + 286*y**3/17 + 284*y**2/17.
2*y**2*(y + 1)*(y + 142)/17
Factor -5*n**2/4 - 56*n + 45/4.
-(n + 45)*(5*n - 1)/4
Solve -d**4/5 - d**3 + 12*d**2/5 + 76*d/5 + 16 = 0 for d.
-5, -2, 4
Find r such that 3*r**4/2 - 15*r**3/2 = 0.
0, 5
Suppose -4*x**2 - 24*x - 36 = 0. What is x?
-3
Factor -8*j**4 + 506*j**3 - 126*j**2.
-2*j**2*(j - 63)*(4*j - 1)
Suppose -3*u**2/5 - 93*u/5 + 96/5 = 0. What is u?
-32, 1
Factor 2*j**3/23 + 10*j**2/23 + 12*j/23.
2*j*(j + 2)*(j + 3)/23
Factor -2*t**3/7 + 16*t**2/7 - 40*t/7 + 32/7.
-2*(t - 4)*(t - 2)**2/7
Find g, given that 27*g**4/8 - 525*g**3/2 + 1611*g**2/8 + 231*g/4 = 0.
-2/9, 0, 1, 77
Factor -y**4/5 - 48*y**3/5 - 714*y**2/5 - 2312*y/5 + 14739/5.
-(y - 3)*(y + 17)**3/5
Let 3*i**4/4 - 21*i**3/2 - 9*i**2/4 + 30*i + 21 = 0. What is i?
-1, 2, 14
Let 945*j**5 + 3035*j**4 - 365*j**3 - 3095*j**2 - 580*j + 60 = 0. Calculate j.
-3, -1, -2/7, 2/27, 1
Factor -k**2/4 + 5*k + 21/4.
-(k - 21)*(k + 1)/4
Let 3*h**3/2 + 603*h**2/2 + 40401*h/2 + 902289/2 = 0. Calculate h.
-67
Suppose 272*d**4 + 1868*d**3 - 260*d**2 - 56*d = 0. Calculate d.
-7, -2/17, 0, 1/4
Suppose -v**3/2 - 5*v**2 + 23*v/2 - 6 = 0. What is v?
-12, 1
Factor -5*t**3 - 2460*t**2 - 403440*t - 22054720.
-5*(t + 164)**3
Determine a, given that 2*a**2/9 - 4066*a/9 - 452 = 0.
-1, 2034
What is p in -p**5/3 + 6*p**4 - 74*p**3/3 + 124*p**2/3 - 31*p + 26/3 = 0?
1, 2, 13
Factor -3*j**2/4 - 939*j/2 - 293907/4.
-3*(j + 313)**2/4
Factor 4*z**3 - 20*z**2 - 544*z + 560.
4*(z - 14)*(z - 1)*(z + 10)
Solve -4*z**2 + 68*z - 240 = 0 for z.
5, 12
Factor 3*d**4 + 258*d**3 + 6039*d**2 + 21156*d + 20172.
3*(d + 2)**2*(d + 41)**2
Factor 2*l**4/5 - 908*l**3/5 - 1824*l**2/5.
2*l**2*(l - 456)*(l + 2)/5
Factor h**5/4 + 103*h**4/4 + 3667*h**3/4 + 49401*h**2/4 + 39204*h + 35937.
(h + 2)**2*(h + 33)**3/4
Solve -21*s**2/5 - 9*s/5 = 0.
-3/7, 0
Factor -4*h**2 + 1172*h - 2328.
-4*(h - 291)*(h - 2)
Determine q, given that -2*q**3 - 48*q**2 + 170*q + 216 = 0.
-27, -1, 4
Suppose -2*a**2/7 - 124*a/7 = 0. What is a?
-62, 0
Let d**4 + 574*d**3 = 0. What is d?
-574, 0
Solve -4*c**4 + 43*c**3/5 - 26*c**2/5 + 3*c/5 = 0.
0, 3/20, 1
Factor -4*d**4 + 64*d**3 - 180*d**2 - 648*d.
-4*d*(d - 9)**2*(d + 2)
Solve -6*v**3 + 220*v**2/3 + 62*v - 52/3 = 0.
-1, 2/9, 13
Determine m so that -5*m**3 + 75*m**2 - 130*m = 0.
0, 2, 13
Find m such that m**4 - 45*m**3 + 369*m**2 + 877*m + 462 = 0.
-1, 14, 33
Factor 4*h**2 - 24*h + 36.
4*(h - 3)**2
Suppose 2*f**4 + 18*f**3 + 48*f**2 + 32*f = 0. Calculate f.
-4, -1, 0
Determine y, given that 212*y**3 - 306*y**2 - 230*y - 12 = 0.
-1/2, -3/53, 2
Let -k**4/2 - 5*k**3 - 14*k**2 - 12*k = 0. What is k?
-6, -2, 0
What is p in 2*p**2/5 - 496*p/5 + 30752/5 = 0?
124
Factor -a**2/4 + 73*a + 293/4.
-(a - 293)*(a + 1)/4
Factor 5*r**2 - 5*r.
5*r*(r - 1)
Factor s**4/6 + 5*s**3/6 - 7*s**2/3.
s**2*(s - 2)*(s + 7)/6
Factor 2*h**3/7 - 12*h**2/7 - 2*h.
2*h*(h - 7)*(h + 1)/7
Let 21*k**3 - 117*k**2 + 114*k + 72 = 0. What is k?
-3/7, 2, 4
Let -8*f**5/13 - 82*f**4/13 - 230*f**3/13 - 138*f**2/13 + 126*f/13 + 108/13 = 0. What is f?
-6, -3, -1, 3/4
Suppose z**4/4 - 2*z**3 + 9*z**2/4 + 9*z/2 = 0. What is z?
-1, 0, 3, 6
Factor 2*f**2/15 - 322*f/15 + 104.
2*(f - 156)*(f - 5)/15
What is p in 285*p**3/4 - 1145*p**2/2 + 2075*p/4 - 35/2 = 0?
2/57, 1, 7
Factor -l**3 - 249*l**2 - 15624*l - 15376.
-(l + 1)*(l + 124)**2
What is y in 3*y**3 + 30*y**2 - 111*y + 78 = 0?
-13, 1, 2
Factor -8*v**3 + 1092*v**2 + 552*v - 548.
-4*(v - 137)*(v + 1)*(2*v - 1)
Suppose h**5/5 - 16*h**4/5 = 0. Calculate h.
0, 16
Factor 8*l**2 + 18*l + 4.
2*(l + 2)*(4*l + 1)
What is a in 2*a**3 + 1142*a**2 + 2278*a + 1138 = 0?
-569, -1
Factor -2*n**2/13 + 60*n/13 + 128/13.
-2*(n - 32)*(n + 2)/13
Solve -6*m**5/19 - 64*m**4/19 - 206*m**3/19 - 164*m**2/19 + 80*m/19 = 0 for m.
-5, -4, -2, 0, 1/3
Let -5*x**4 - 270*x**3 + 2175*x**2 + 2440*x = 0. Calculate x.
-61, -1, 0, 8
Factor -3*m**4 + 78*m**3 + 255*m**2 + 174*m.
-3*m*(m - 29)*(m + 1)*(m + 2)
Find w, given that 4*w**2 + 96*w + 252 = 0.
-21, -3
Factor -a**5/2 - 8*a**4 - 15*a**3 + 98*a**2 - 233*a/2 + 42.
-(a - 1)**3*(a + 7)*(a + 12)/2
Factor q**5/4 - 4*q**4 - 20*q**3.
q**3*(q - 20)*(q + 4)/4
Find y such that 2*y**2/11 - 62*y/11 + 456/11 = 0.
12, 19
Factor -s**3/4 + 85*s**2/2 - 993*s/4 + 369.
-(s - 164)*(s - 3)**2/4
Factor 2*s**4/7 - 22*s**3/7 + 80*s**2/7 - 96*s/7.
2*s*(s - 4)**2*(s - 3)/7
Let y**4/4 + 15*y**3/4 + 11*y**2 = 0. Calculate y.
-11, -4, 0
Factor 98*b**5 - 252*b**4 + 218*b**3 - 72*b**2 + 8*b.
2*b*(b - 1)**2*(7*b - 2)**2
Determine d so that 2*d**5 - 19*d**4/2 - 17*d**3/2 + 49*d**2/2 + 53*d/2 + 5 = 0.
-1, -1/4, 2, 5
Suppose 5*q**5 + 305*q**4 + 1155*q**3 + 855*q**2 = 0. Calculate