11*u + 2 = 0.
-2, 1/3, 1
Solve 14*j**3/5 - 144*j**2 - 3048*j/5 - 3104/5 = 0 for j.
-2, 388/7
Factor -z**3 + 45*z**2 + 1200*z + 6500.
-(z - 65)*(z + 10)**2
Solve n**5/2 - 4*n**4 + 6*n**3 = 0.
0, 2, 6
Factor -7*b**3/4 - 25*b**2 - 371*b/4 - 49/2.
-(b + 7)**2*(7*b + 2)/4
Suppose -4*p**4 + 1748*p**3 + 1756*p**2 - 1748*p - 1752 = 0. What is p?
-1, 1, 438
Factor -2*x**2 + 2*x + 4.
-2*(x - 2)*(x + 1)
Determine t so that 6*t**3/11 - 48*t**2/11 - 270*t/11 - 216/11 = 0.
-3, -1, 12
Factor 6*l**2 + 46*l + 60.
2*(l + 6)*(3*l + 5)
Factor 3*m**4/4 + 63*m**3/2 - 405*m**2/4.
3*m**2*(m - 3)*(m + 45)/4
Factor -22*s**4/9 + 236*s**3/3 - 640*s**2 + 1024*s/9.
-2*s*(s - 16)**2*(11*s - 2)/9
Suppose -225*j**5 - 930*j**4 - 771*j**3 + 6*j**2 + 72*j = 0. Calculate j.
-3, -1, -2/5, 0, 4/15
Find l such that -5*l**2 + 50*l - 105 = 0.
3, 7
Solve -5*n**5/2 - 105*n**4 - 200*n**3 = 0 for n.
-40, -2, 0
Solve 5*t**5 - 40*t**4 - 140*t**3 + 400*t**2 = 0.
-4, 0, 2, 10
Let g**4 + 13*g**3 + 30*g**2 - 4*g - 40 = 0. What is g?
-10, -2, 1
Let -126*o**5/5 - 2118*o**4/5 + 7564*o**3/5 - 9272*o**2/5 + 4912*o/5 - 192 = 0. Calculate o.
-20, 2/3, 6/7, 1
Solve -2*w**5/13 - 38*w**4/13 + 42*w**3/13 + 38*w**2/13 - 40*w/13 = 0.
-20, -1, 0, 1
Factor -3*u**3 - 6*u**2 + 45*u + 108.
-3*(u - 4)*(u + 3)**2
Factor i**4 + 41*i**3 + 40*i**2.
i**2*(i + 1)*(i + 40)
Factor 48*r**2/17 + 346*r/17 + 70/17.
2*(r + 7)*(24*r + 5)/17
Determine l, given that -3*l**2 = 0.
0
Factor -3*i**3/2 + 3*i**2/2 + 3*i/2 - 3/2.
-3*(i - 1)**2*(i + 1)/2
Factor 3*g**2 + 819*g - 822.
3*(g - 1)*(g + 274)
Factor r**5/5 - 4*r**4/5 + r**3 - 2*r**2/5.
r**2*(r - 2)*(r - 1)**2/5
Factor 2*s**4/5 - 6*s**2/5 + 4*s/5.
2*s*(s - 1)**2*(s + 2)/5
Solve 36*g**4/5 - 172*g**3/5 - 2848*g**2/5 - 3216*g/5 - 576/5 = 0.
-6, -1, -2/9, 12
What is i in 38*i**2/5 - 1048*i - 552/5 = 0?
-2/19, 138
Factor -f**3/4 + 4049*f**2/4 + 2025*f/2.
-f*(f - 4050)*(f + 1)/4
Let -3*l**2/4 + 57*l/4 - 51/2 = 0. What is l?
2, 17
Factor 2*k**2 - 4232*k + 2238728.
2*(k - 1058)**2
Factor 6859*z**4/2 - 6498*z**3 + 4104*z**2 - 864*z.
z*(19*z - 12)**3/2
Factor -3*y**2/2 + 107*y - 340.
-(y - 68)*(3*y - 10)/2
Factor -289*f**3/6 + 544*f**2/3 + 134*f/3 + 8/3.
-(f - 4)*(17*f + 2)**2/6
Factor m**4 + 2516*m**3 - 7554*m**2 + 7556*m - 2519.
(m - 1)**3*(m + 2519)
Suppose 10*r**5 - 225*r**4 - 610*r**3 - 375*r**2 = 0. What is r?
-3/2, -1, 0, 25
Factor 3*l**3 + 126*l**2 + 243*l + 120.
3*(l + 1)**2*(l + 40)
Factor -a**4/3 + 2*a**3/3 + 13*a**2/3 + 10*a/3.
-a*(a - 5)*(a + 1)*(a + 2)/3
Determine y so that 2*y**2/11 + 170*y/11 - 348/11 = 0.
-87, 2
Solve 7*k**2/3 - 27281*k/3 + 2598 = 0 for k.
2/7, 3897
Solve h**2/3 + 140*h + 14700 = 0.
-210
Factor 4*x**2 - 4*x.
4*x*(x - 1)
Suppose -2*z**3/5 - 2*z**2 + 28*z/5 = 0. Calculate z.
-7, 0, 2
Factor -j**3/4 - 199*j**2/4 - 2640*j - 16128.
-(j + 7)*(j + 96)**2/4
Suppose -32*r**4/9 + 20*r**3/9 + 14*r**2 + 64*r/9 - 10/9 = 0. What is r?
-1, 1/8, 5/2
Factor 12*j**2 + 1480*j + 492.
4*(j + 123)*(3*j + 1)
Find w such that 11*w**3 + 36*w**2 + 31*w + 6 = 0.
-2, -1, -3/11
Find j, given that 20*j**5/9 - 76*j**4/9 + 12*j**3 - 68*j**2/9 + 16*j/9 = 0.
0, 4/5, 1
Solve 3*o**4/8 - 81*o**3/8 + 177*o**2/4 - 135*o/2 + 33 = 0 for o.
1, 2, 22
Suppose -2*x**2/15 + 778*x/15 = 0. What is x?
0, 389
Find l, given that 3*l**2/4 - 39*l/4 - 21/2 = 0.
-1, 14
Find w, given that -3*w**3/5 + 30*w**2 - 423*w/5 = 0.
0, 3, 47
Solve 4*u**5 + 42*u**4 + 86*u**3 - 98*u**2 - 90*u + 56 = 0 for u.
-7, -4, -1, 1/2, 1
Factor 18*c**2 - 22*c + 4.
2*(c - 1)*(9*c - 2)
Find z, given that 4*z**3/3 - 176*z**2/3 = 0.
0, 44
Find b, given that -3*b**5/2 + 27*b**4/2 + 39*b**3/2 - 87*b**2/2 - 18*b + 30 = 0.
-2, -1, 1, 10
Determine w so that 5*w**2/4 - 45*w + 1375/4 = 0.
11, 25
Let v**5 - 11*v**4 + 22*v**3 + 60*v**2 - 72*v = 0. What is v?
-2, 0, 1, 6
Suppose -k**5 + 29*k**4 + 279*k**3 - 1001*k**2 + 1054*k - 360 = 0. What is k?
-10, 1, 36
Factor -648*l**5 + 810*l**4 - 351*l**3/2 + 111*l**2/8 - 3*l/8.
-3*l*(l - 1)*(12*l - 1)**3/8
Solve 6*p**3/7 - 19890*p**2/7 + 21978450*p/7 - 8095395750/7 = 0.
1105
Factor -2*p**5/3 + 14*p**4/3 - 22*p**3/3 + 10*p**2/3.
-2*p**2*(p - 5)*(p - 1)**2/3
Factor -18*f**5 + 342*f**4 - 330*f**3 + 326*f**2/3 - 12*f.
-2*f*(f - 18)*(3*f - 1)**3/3
What is i in -3*i**5/7 + 9*i**4/7 + 12*i**3/7 = 0?
-1, 0, 4
Find f such that 216*f**4 + 1125*f**3 + 1104*f**2 + 228*f - 48 = 0.
-4, -2/3, 1/8
Factor -4*l**2/5 - 8232*l/5 - 4235364/5.
-4*(l + 1029)**2/5
Solve -4*h**3 + 56*h**2 - 196*h = 0 for h.
0, 7
Find z such that 6*z**4 - z**3 - 73*z**2/3 + 4*z + 4/3 = 0.
-2, -1/6, 1/3, 2
Factor 2*j**3/7 + 4*j**2/7 - 58*j/7 + 12.
2*(j - 3)*(j - 2)*(j + 7)/7
Let 2*v**5/17 + 10*v**4/17 - 30*v**3/17 - 10*v**2/17 + 28*v/17 = 0. Calculate v.
-7, -1, 0, 1, 2
Factor 4*p**3/3 + 212*p**2/3 + 1468*p/3 + 420.
4*(p + 1)*(p + 7)*(p + 45)/3
Suppose -2*k**5/11 + 6*k**4/11 + 46*k**3/11 - 150*k**2/11 + 100*k/11 = 0. Calculate k.
-5, 0, 1, 2, 5
Solve 2*v**3/7 + 48*v**2/7 - 50*v/7 = 0.
-25, 0, 1
What is w in -3*w**3/2 + 69*w**2 - 267*w/2 + 66 = 0?
1, 44
Factor -2*w**4 - 66*w**3 + 70*w**2 + 66*w - 68.
-2*(w - 1)**2*(w + 1)*(w + 34)
Factor 5*x**3 + 20*x**2 - 135*x - 450.
5*(x - 5)*(x + 3)*(x + 6)
Suppose 2*j**2/3 - 20*j/3 + 32/3 = 0. What is j?
2, 8
Factor 2*d**5/7 + 18*d**4/7 + 52*d**3/7 + 68*d**2/7 + 6*d + 10/7.
2*(d + 1)**4*(d + 5)/7
Find s such that -5*s**5 - 185*s**4 - 1610*s**3 + 1990*s**2 + 1615*s - 1805 = 0.
-19, -1, 1
Factor 5*w**2/3 - 70*w/3 + 200/3.
5*(w - 10)*(w - 4)/3
Factor -b**5/5 - 6*b**4/5 - 14*b**3/5 - 16*b**2/5 - 9*b/5 - 2/5.
-(b + 1)**4*(b + 2)/5
Let -15*o**4 + 174*o**3 + 87*o**2 - 174*o - 72 = 0. Calculate o.
-1, -2/5, 1, 12
Factor r**2 - 16*r - 105.
(r - 21)*(r + 5)
Factor 43*r**3 - 565*r**2 + 594*r - 72.
(r - 12)*(r - 1)*(43*r - 6)
Suppose s**4/2 - s**3 - 2*s**2 + s + 3/2 = 0. Calculate s.
-1, 1, 3
Factor 4*t**3 + 12*t**2 - 96*t + 112.
4*(t - 2)**2*(t + 7)
What is b in -b**4 - 6*b**3 - 5*b**2 = 0?
-5, -1, 0
Find c such that -2*c**2 + 4*c + 6 = 0.
-1, 3
Factor 2*n**2/9 + 33188*n/9 + 137680418/9.
2*(n + 8297)**2/9
Let z**5/2 + z**4 - 8*z**3 - z**2 + 15*z/2 = 0. Calculate z.
-5, -1, 0, 1, 3
Factor -469*h**4 + 6*h**3.
-h**3*(469*h - 6)
Factor -4*i**3 + 28*i**2 - 32*i - 64.
-4*(i - 4)**2*(i + 1)
What is j in -3*j**4/4 + 774*j**3 + 3*j**2/4 - 774*j = 0?
-1, 0, 1, 1032
Factor -2*a**4/5 + 2*a**2/5.
-2*a**2*(a - 1)*(a + 1)/5
Factor j**5/4 + 3*j**4 + 15*j**3/2 + 7*j**2 + 9*j/4.
j*(j + 1)**3*(j + 9)/4
Factor -6075*b**3/2 - 5535*b**2/2 + 264*b - 6.
-3*(b + 1)*(45*b - 2)**2/2
Determine g, given that -2*g**2/19 - 16724*g/19 - 34961522/19 = 0.
-4181
Solve -2*g**4 - 292*g**3 + 590*g**2 - 296*g = 0 for g.
-148, 0, 1
Determine c, given that -40*c**2/17 - 86*c/17 - 12/17 = 0.
-2, -3/20
Factor -2*w**2 - 192*w - 2560.
-2*(w + 16)*(w + 80)
Factor 5*v**2 + 4490*v + 1008005.
5*(v + 449)**2
Factor 4*i**4/7 - 88*i**2/7 + 96*i/7 + 180/7.
4*(i - 3)**2*(i + 1)*(i + 5)/7
Determine a so that 2*a**3/17 - 332*a**2/17 + 1304*a/17 - 1296/17 = 0.
2, 162
What is x in -x**4/4 + 21*x**3/2 - 393*x**2/4 - 275*x + 363 = 0?
-3, 1, 22
Factor -h**2 + 400*h - 40000.
-(h - 200)**2
Determine d, given that -5*d**4 - 235*d**3 - 1080*d**2 - 1260*d = 0.
-42, -3, -2, 0
Determine p, given that -75*p**5/4 + 855*p**4 - 19149*p**3/2 - 3933*p**2 - 1587*p/4 = 0.
-1/5, 0, 23
Let c**2/3 + 76*c/3 = 0. What is c?
-76, 0
Determine a so that a**3/2 - 3*a**2 - 9*a/2 + 7 = 0.
-2, 1, 7
Find k such that k**5/3 + 19*k**4 - 121*k**3/3 - 173*k**2/3 + 80*k + 236/3 = 0.
-59, -1, 2
Factor -4*f**5 + 1560*f**4 - 243360*f**3 + 18982080*f**2 - 740301120*f + 11548697472.
-4*(f - 78)**5
Suppose 3*k**2/4 - 57*k/2 + 783/4 = 0. What is k?
9, 29
Let -363*j**3 - 5511*j**2 - 23400*j - 18252 = 0. What is j?
-78/11, -1
Factor j**3 + 61*j**2 + 119*j + 59.
(j + 1)**2*(j + 59)
Find p such that -3*p**5/4 - 135*p**4/4 - 2043*p**3/4 - 11037*p**2/4 - 4563*p/2 = 0.
-18, -13, -1, 0
Factor -5*t**2 + 535*t - 1050.
-5*(t - 105)*(t - 2)
Determine c so that -c**3/2 - 31*c**2/2 + 217*c/2 - 185/2 = 0.
-37, 1, 5
Factor -f**2 - 27*f - 50.
-(f + 2)*(f + 25)
Let 5*v**2 - 5*v = 0. Calculate v.
0, 1
Factor 2*i**4 + 31*i**3 + 67*i**2 - 100*i.
i*(i - 1)*(i + 4)*(2*i + 25)
Let 900*v**4 - 7620*v**3 - 13256*v**2 - 5376*v - 640 = 0. Calculate v.
-1, -4/15, 10
Suppose 27*p**3 + 35*p**2 + 8*p = 0. Calculate p.
-1, -8/27, 0
Let n**2/4 - 26