- 2*r/7 - 536/7 = 0.
-268, -1, 1
Factor 48050*h**2 - 1860*h + 18.
2*(155*h - 3)**2
Let 4*z**2 - 8*z - 12 = 0. Calculate z.
-1, 3
Factor r**4/6 + 10*r**3/3 - 46*r**2/3 - 320*r + 1536.
(r - 6)**2*(r + 16)**2/6
Find p such that 2*p**4 - 4*p**3 - 42*p**2 - 36*p = 0.
-3, -1, 0, 6
Determine l so that -2*l**2/3 + 138*l + 836/3 = 0.
-2, 209
Factor -2*k**4/7 + 24*k**3/7 - 72*k**2/7 + 64*k/7.
-2*k*(k - 8)*(k - 2)**2/7
Determine j, given that -2*j**5 + 14*j**4 - 22*j**3 + 10*j**2 = 0.
0, 1, 5
Find m, given that -m**3/5 - 24*m**2/5 + 51*m/5 - 26/5 = 0.
-26, 1
Solve 5*y**5 - 35*y**4 + 55*y**3 + 95*y**2 - 300*y + 180 = 0 for y.
-2, 1, 2, 3
Find z such that -7*z**3 + 5980*z**2 - 1278011*z + 364658 = 0.
2/7, 427
Let 6*a**2 - 364*a/5 + 48/5 = 0. What is a?
2/15, 12
Determine h, given that h**2/2 - 11*h/2 + 14 = 0.
4, 7
Factor -5*c**4/6 - c**3/2 + 5*c**2/6 + c/2.
-c*(c - 1)*(c + 1)*(5*c + 3)/6
Factor -6*t**2/7 + 2046*t/7 - 2040/7.
-6*(t - 340)*(t - 1)/7
Factor -5*c**2 - 750*c + 755.
-5*(c - 1)*(c + 151)
Factor -5*g**4 + 185*g**3 - 835*g**2 + 1135*g - 480.
-5*(g - 32)*(g - 3)*(g - 1)**2
Find z, given that z**3/4 + 15*z**2/4 + 12*z + 11 = 0.
-11, -2
Factor 3*b**3/4 - 225*b**2/2.
3*b**2*(b - 150)/4
Factor -2*z**4 + 8*z**3 + 88*z**2 - 192*z - 1152.
-2*(z - 6)**2*(z + 4)**2
Suppose s**4 + 2*s**3 - 31*s**2 + 28*s = 0. Calculate s.
-7, 0, 1, 4
Factor 7*g**3/3 - 6596*g**2/3 + 518257*g - 147894.
(g - 471)**2*(7*g - 2)/3
Solve 2*z**3/9 + 62*z**2/9 - 212*z/9 - 272/9 = 0.
-34, -1, 4
Factor -v**2/4 + 6477*v/2 - 41951529/4.
-(v - 6477)**2/4
Find i, given that 4*i**5/7 + 16*i**4/7 - 32*i**3/7 - 40*i**2/7 + 92*i/7 - 40/7 = 0.
-5, -2, 1
Factor -3*l**2 - 78*l - 507.
-3*(l + 13)**2
Factor u**4 - 17*u**3 + 95*u**2 - 175*u.
u*(u - 7)*(u - 5)**2
Factor 5*m**2/2 - 10*m - 105/2.
5*(m - 7)*(m + 3)/2
Solve 10*k**3 + 166*k**2 - 668*k + 240 = 0.
-20, 2/5, 3
Find f such that f**4 + 11*f**3 - 12*f**2 = 0.
-12, 0, 1
Determine y, given that -2*y**5/11 - 2*y**4/11 + 30*y**3/11 + 50*y**2/11 - 28*y/11 - 48/11 = 0.
-3, -2, -1, 1, 4
Factor 4*g**2 + 2576*g + 414736.
4*(g + 322)**2
Determine a so that a**4 + 332*a**3/3 + 217*a**2/3 - 332*a/3 - 220/3 = 0.
-110, -1, -2/3, 1
What is h in -2*h**5 + 114*h**4 + 120*h**3 - 232*h**2 = 0?
-2, 0, 1, 58
Factor 3*z**3 - 18*z**2 - 57*z + 252.
3*(z - 7)*(z - 3)*(z + 4)
Let 2*i**2 + 708*i - 2864 = 0. Calculate i.
-358, 4
Suppose n**5 + 14*n**4 + 72*n**3 + 162*n**2 + 135*n = 0. Calculate n.
-5, -3, 0
What is w in -343*w**5/2 - 5635*w**4/4 - 15911*w**3/4 - 7911*w**2/2 + 243*w + 1458 = 0?
-18/7, -1, 1/2
What is q in 14*q**3 + 290*q**2 + 672*q - 216 = 0?
-18, -3, 2/7
Suppose 5*a**5 - 23*a**4 + 25*a**3 - a**2 - 6*a = 0. Calculate a.
-2/5, 0, 1, 3
Factor -t**4 - 7*t**3 - 8*t**2 + 16*t.
-t*(t - 1)*(t + 4)**2
Factor -3*g**3 - 252*g**2 - 5535*g - 10086.
-3*(g + 2)*(g + 41)**2
Factor -2*c**2/7 - 116*c/7 - 114/7.
-2*(c + 1)*(c + 57)/7
Determine g so that 4*g**2/5 + 50552*g/5 + 159719044/5 = 0.
-6319
Solve -25*o**2 + 495*o + 630 = 0.
-6/5, 21
Let -c**4/2 + 11*c**3/2 + 25*c**2/2 + 13*c/2 = 0. What is c?
-1, 0, 13
Solve 5*y**2 + 130*y + 240 = 0 for y.
-24, -2
Factor 2*i**2/5 - 1094*i/5.
2*i*(i - 547)/5
Factor -16*p**3 - 548*p**2 - 1152*p.
-4*p*(p + 32)*(4*p + 9)
What is g in 5*g**2 - 170*g + 165 = 0?
1, 33
Suppose -245*w**3 + 1575*w**2 + 960*w + 140 = 0. Calculate w.
-2/7, 7
Let 3*g**2 + 114*g + 111 = 0. What is g?
-37, -1
Determine s so that -s**5 - 14*s**4 + 2*s**3 + 204*s**2 + 63*s - 702 = 0.
-13, -3, 2, 3
Factor -4*u**5 + 4*u**4 + 8*u**3.
-4*u**3*(u - 2)*(u + 1)
Factor -49*f**2 - 1302*f + 376.
-(7*f - 2)*(7*f + 188)
Suppose c**2/5 - 5322*c/5 = 0. What is c?
0, 5322
Factor 4*v**2 + 3552*v + 788544.
4*(v + 444)**2
Determine h, given that 4*h**3 + 11248*h**2 + 7918580*h + 15792200 = 0.
-1405, -2
Determine q, given that 34*q**4/5 - 94*q**3/5 - 32*q**2 - 32*q/5 = 0.
-1, -4/17, 0, 4
Let 2*f**4/5 + 192*f**3/5 - 1444*f**2/5 - 192*f/5 + 1442/5 = 0. What is f?
-103, -1, 1, 7
Factor 35*a**2 + 5785*a + 1650.
5*(a + 165)*(7*a + 2)
Find t such that 2*t**2/21 + 130*t/3 + 908/21 = 0.
-454, -1
Suppose -q**3/3 - 16*q**2/3 + q/3 + 16/3 = 0. Calculate q.
-16, -1, 1
Find n, given that n**2/2 - 6*n + 11/2 = 0.
1, 11
Suppose -y**2/7 + 2974*y/7 - 2211169/7 = 0. Calculate y.
1487
What is d in 2*d**3/3 + 10*d**2/3 + 8*d/3 = 0?
-4, -1, 0
Factor -2*i**2/3 + 106*i/3.
-2*i*(i - 53)/3
Factor 3*d**4/5 - 384*d**3/5 - 387*d**2/5.
3*d**2*(d - 129)*(d + 1)/5
Suppose 2*g**4 + 278*g**3 + 274*g**2 - 278*g - 276 = 0. What is g?
-138, -1, 1
Solve l**5/5 - 239*l**4/5 - 2*l**3/5 + 478*l**2/5 + l/5 - 239/5 = 0 for l.
-1, 1, 239
Factor -2*r**3/3 + 52*r**2/3 + 474*r + 2376.
-2*(r - 44)*(r + 9)**2/3
Let 5*i**2 + 2110*i - 2115 = 0. Calculate i.
-423, 1
Factor b**4/4 - 3*b**3/4 - b**2 + 3*b.
b*(b - 3)*(b - 2)*(b + 2)/4
Factor s**5 + 72*s**4 - 222*s**3 + 224*s**2 - 75*s.
s*(s - 1)**3*(s + 75)
Factor 3*m**2/4 - 213*m/2 + 15123/4.
3*(m - 71)**2/4
Factor 17*m**5/2 - 137*m**4 - 633*m**3 - 992*m**2 - 1351*m/2 - 171.
(m + 1)**4*(17*m - 342)/2
Factor 2*y**4/5 - 12*y**3/5 - 2*y**2/5 + 12*y/5.
2*y*(y - 6)*(y - 1)*(y + 1)/5
Find q, given that -5*q**2 - 85*q + 90 = 0.
-18, 1
Find i, given that -2*i**3 - 124*i**2 + 522*i - 396 = 0.
-66, 1, 3
Find m such that -3*m**4 - 17*m**3/4 + 3*m**2/2 + 17*m/4 + 3/2 = 0.
-1, -3/4, -2/3, 1
Determine r, given that -22*r**3/9 + 1604*r**2/9 + 146*r/9 = 0.
-1/11, 0, 73
Factor d**2/5 + 22*d/5 - 23/5.
(d - 1)*(d + 23)/5
Factor -2*y**2/17 + 604*y/17 - 1200/17.
-2*(y - 300)*(y - 2)/17
Factor -k**4/3 - 8*k**3/3 + 94*k**2/3 + 1040*k/3 + 825.
-(k - 11)*(k + 5)**2*(k + 9)/3
Factor b**3/3 + 179*b**2/3 + 704*b/3 + 700/3.
(b + 2)**2*(b + 175)/3
Find b such that -3*b**5/4 - 3*b**4 - 9*b**3/4 + 3*b**2 + 3*b = 0.
-2, -1, 0, 1
Find c, given that -c**2/5 + 7*c - 96/5 = 0.
3, 32
Solve 784*h**3 - 252*h**2 - 48*h + 16 = 0.
-1/4, 2/7
Let 5*s**3 - 705*s**2/4 + 1495*s/4 - 165/2 = 0. What is s?
1/4, 2, 33
Solve -3*s**5 + 12*s**4 - 9*s**3 = 0.
0, 1, 3
Determine h so that 5*h**3 + 175*h**2 + 1440*h - 1620 = 0.
-18, 1
Factor 26*g**2/7 - 8*g/7.
2*g*(13*g - 4)/7
Factor -5*d**3 - 125*d**2 - 440*d - 420.
-5*(d + 2)**2*(d + 21)
Let -5*o**3/2 - 180*o**2 + 755*o/2 + 555 = 0. What is o?
-74, -1, 3
What is r in 3*r**2 - 27*r - 30 = 0?
-1, 10
Factor u**3 + 91*u**2 + 266*u + 176.
(u + 1)*(u + 2)*(u + 88)
Factor 2*j**3 + 3*j**2 - 2*j.
j*(j + 2)*(2*j - 1)
Factor 98*x**3 + 100*x**2 - 194*x - 4.
2*(x - 1)*(x + 2)*(49*x + 1)
Determine t, given that 4*t**2/7 + 16855*t/7 - 602 = 0.
-4214, 1/4
Factor 3*v**3 + 69*v**2 + 129*v + 63.
3*(v + 1)**2*(v + 21)
Determine d, given that -2*d**4/19 - 176*d**3/19 - 1452*d**2/19 - 2384*d/19 - 1106/19 = 0.
-79, -7, -1
Factor 2*b**4/9 - 8*b**3/9 - 2*b**2/3 + 20*b/9 + 16/9.
2*(b - 4)*(b - 2)*(b + 1)**2/9
Factor -8*s**3/3 + 398*s**2/3 - 4900*s/3 - 1250/3.
-2*(s - 25)**2*(4*s + 1)/3
Factor p**2 + 521*p/5 - 954/5.
(p + 106)*(5*p - 9)/5
Suppose -2*j**2/7 - 544*j/7 - 2670/7 = 0. What is j?
-267, -5
Let -2*q**5/17 + 14*q**4/17 - 28*q**3/17 + 16*q**2/17 = 0. Calculate q.
0, 1, 2, 4
Factor -4*b**3/11 + 10*b**2/11 - 4*b/11.
-2*b*(b - 2)*(2*b - 1)/11
Suppose 3*b**3 - 45*b**2 + 42*b = 0. Calculate b.
0, 1, 14
Solve -3*h**5/4 + 9*h**4/4 + 33*h**3/2 + 57*h**2/2 + 81*h/4 + 21/4 = 0 for h.
-1, 7
Factor 2*q**3/11 + 560*q**2/11 + 3406*q - 22308.
2*(q - 6)*(q + 143)**2/11
Determine t so that -t**2/4 - 11*t/2 - 57/4 = 0.
-19, -3
Factor -m**4/3 + 7*m**3/3 - 4*m**2/3 - 4*m.
-m*(m - 6)*(m - 2)*(m + 1)/3
Determine w so that w**4/7 + 1892*w**3/7 + 898692*w**2/7 + 3572096*w/7 + 3564544/7 = 0.
-944, -2
Find s such that 2*s**2 - 10896*s + 14840352 = 0.
2724
Factor -4*m**4 + 7352*m**3 + 14716*m**2 + 7360*m.
-4*m*(m - 1840)*(m + 1)**2
Factor 4*s**2/9 - 428*s/9 + 280/3.
4*(s - 105)*(s - 2)/9
Solve 5*o**5/2 + 155*o**4/2 + 135*o**3 - 295*o**2 - 275*o/2 + 435/2 = 0.
-29, -3, -1, 1
Factor -r**4/2 - 5*r**3/2 + 2*r**2 + 22*r + 24.
-(r - 3)*(r + 2)**2*(r + 4)/2
Let 2*x**2/7 + 20*x/7 + 18/7 = 0. What is x?
-9, -1
Let -f**3/2 - 519*f**2/2 + 521*f = 0. What is f?
-521, 0, 2
Factor 4*u**4 - 32*u**3 + 52*u**2 - 24*u.
4*u*(u - 6)*(u - 1)**2
Determine r so that 2*r**2 + 78*r - 80 = 0.
-40, 1
Find u such that 5*u**4/4 + 23*u**3/4 + 3*u**2 = 0.
-4, -3/5, 0
Solve 11*f**5 - 68*f**4 + 56*f**3 + 58*f**2 - 67*f + 10 = 0 for f.
-1, 2/11, 1, 5
Find h such that