= 0. Calculate h.
-6/5, 3
Factor 2*r**2/7 + 92*r/7 + 1058/7.
2*(r + 23)**2/7
Determine j so that 2*j**2/11 + 140*j/11 + 2450/11 = 0.
-35
Factor -2*d**4/3 + 2*d**3 - 2*d**2 + 2*d/3.
-2*d*(d - 1)**3/3
Factor -3*v**3/7 - 270*v**2/7.
-3*v**2*(v + 90)/7
Factor 2*u**3/13 - 1244*u**2/13 + 1238*u/13 + 2484/13.
2*(u - 621)*(u - 2)*(u + 1)/13
Factor w**2 + 35*w - 74.
(w - 2)*(w + 37)
Let 363*p**4 - 198*p**3 - 897*p**2 + 252*p + 588 = 0. What is p?
-1, 14/11
Solve 2*d**4/11 - 24*d**3/11 - 234*d**2/11 + 296*d/11 + 504/11 = 0 for d.
-7, -1, 2, 18
Factor 4*i**4 - 688*i**3 + 29580*i**2 + 688*i - 29584.
4*(i - 86)**2*(i - 1)*(i + 1)
Suppose -2*v**5/7 + v**4 - 6*v**3/7 - v**2/7 + 2*v/7 = 0. Calculate v.
-1/2, 0, 1, 2
What is d in d**2 + 9*d - 10 = 0?
-10, 1
Solve -2*l**3/7 + 282*l**2/7 - 234*l + 2430/7 = 0.
3, 135
Solve 4*o**3/3 + 80*o**2/3 = 0.
-20, 0
Solve 2*a**2 - 126*a - 980 = 0.
-7, 70
Suppose 7*h**5/3 - 40*h**4/3 - 2273*h**3/3 - 5014*h**2/3 - 3404*h/3 - 616/3 = 0. What is h?
-14, -1, -2/7, 22
Find i, given that -i**5/4 + 3*i**3/2 - 2*i**2 + 3*i/4 = 0.
-3, 0, 1
Factor 5*z**2 - 130*z + 125.
5*(z - 25)*(z - 1)
Suppose -4*w**5 - 100*w**4 + 8*w**3 + 200*w**2 - 4*w - 100 = 0. What is w?
-25, -1, 1
What is o in 2*o**4/3 - 94*o**3/3 - 402*o**2 - 4010*o/3 - 2900/3 = 0?
-5, -1, 58
Factor -2*b**4 - 8*b**3.
-2*b**3*(b + 4)
Let -2*t**2/3 + 2102*t/3 + 1404 = 0. What is t?
-2, 1053
Factor v**2/2 - 157*v + 24649/2.
(v - 157)**2/2
Solve 5*h**2 + 635*h + 3050 = 0 for h.
-122, -5
Let -10*q**2/7 - 12*q/7 - 2/7 = 0. What is q?
-1, -1/5
Let 5*h**3/4 - 63*h**2/4 + 46*h + 21 = 0. What is h?
-2/5, 6, 7
Factor h**5 - 23*h**4 + 163*h**3 - 361*h**2 + 320*h - 100.
(h - 10)**2*(h - 1)**3
Factor -2*m**4/9 - 4*m**3 - 22*m**2/3 - 32*m/9.
-2*m*(m + 1)**2*(m + 16)/9
Let -a**3/4 + a**2 + 3*a = 0. Calculate a.
-2, 0, 6
Suppose 3*l**4/11 + 316*l**3/11 - 1191*l**2/11 + 876*l/11 + 436/11 = 0. Calculate l.
-109, -1/3, 2
Suppose 4*q**5/5 - 8*q**4/5 - 36*q**3/5 + 8*q**2/5 + 32*q/5 = 0. Calculate q.
-2, -1, 0, 1, 4
Determine f so that -f**4 + 2051*f**3/3 - 116049*f**2 - 274057*f - 235298/3 = 0.
-2, -1/3, 343
Solve -j**2/2 + 25*j - 200 = 0 for j.
10, 40
Solve 5*k**2 - 55*k + 50 = 0.
1, 10
Solve -q**5/8 + 21*q**4/8 - 75*q**3/8 - 361*q**2/8 - 51*q - 18 = 0 for q.
-1, 12
Let -2*v**3/21 - 34*v**2/7 - 570*v/7 - 9386/21 = 0. Calculate v.
-19, -13
Factor 3*p**5/4 + 183*p**4/2 + 696*p**3 + 1368*p**2.
3*p**2*(p + 4)**2*(p + 114)/4
Solve -2*w**2/11 - 172*w/11 - 3698/11 = 0.
-43
Factor 2*z**2 + 240*z + 7200.
2*(z + 60)**2
Suppose 2*h**5/9 + 38*h**4/9 + 6*h**3 - 278*h**2/9 - 704*h/9 - 136/3 = 0. What is h?
-17, -2, -1, 3
Let -k**2/4 + 2*k + 33/4 = 0. What is k?
-3, 11
Factor z**4/2 - 2*z**3 - 3*z**2 + 2*z + 5/2.
(z - 5)*(z - 1)*(z + 1)**2/2
Determine r so that 2*r**2 - 912*r - 914 = 0.
-1, 457
Solve -3*y**4 + 798*y**3 - 792*y**2 - 798*y + 795 = 0 for y.
-1, 1, 265
Factor 2*s**4/9 + 2*s**3/3 - 2*s**2/3 - 22*s/9 - 4/3.
2*(s - 2)*(s + 1)**2*(s + 3)/9
Factor -5*y**4 - 260*y**3 - 3375*y**2 + 260*y + 3380.
-5*(y - 1)*(y + 1)*(y + 26)**2
Factor 4*c**3/7 + 12*c**2/7 - 16*c/7.
4*c*(c - 1)*(c + 4)/7
Let -o**3/12 + o**2/2 = 0. Calculate o.
0, 6
What is j in 3*j**5/5 - 27*j**4/5 + 87*j**3/5 - 129*j**2/5 + 18*j - 24/5 = 0?
1, 2, 4
Let -3*g**4 + 210*g**3 - 4743*g**2 + 36612*g - 32076 = 0. What is g?
1, 18, 33
Factor 4*f**3 - 36*f**2 + 32*f + 240.
4*(f - 6)*(f - 5)*(f + 2)
Solve 3*l**5 + 87*l**4 - 99*l**3 - 267*l**2 + 96*l + 180 = 0 for l.
-30, -1, 1, 2
Suppose g**4 - 11*g**3 + 40*g**2 - 48*g = 0. Calculate g.
0, 3, 4
Factor -141*s**2 + 2253*s + 48.
-3*(s - 16)*(47*s + 1)
Factor 4*a**5 - 16*a**4 - 12*a**3 + 56*a**2 - 32*a.
4*a*(a - 4)*(a - 1)**2*(a + 2)
Let 1587*o**2/2 - 138*o + 6 = 0. Calculate o.
2/23
Let 3*q**2/2 - 4*q + 2 = 0. Calculate q.
2/3, 2
Factor 2*f**2/3 - 104*f/3 + 200/3.
2*(f - 50)*(f - 2)/3
Factor 2*z**4 + 64*z**3/3 + 190*z**2/3 + 100*z/3.
2*z*(z + 5)**2*(3*z + 2)/3
Find d, given that -4*d**4 + 96*d**3 + 1448*d**2 - 24288*d - 256036 = 0.
-11, 23
Factor -2*t**2 - 560*t - 1662.
-2*(t + 3)*(t + 277)
Suppose 2*c**2/7 + 220*c/7 = 0. What is c?
-110, 0
Solve 5*t**2 - 1200*t + 72000 = 0 for t.
120
Factor -26*k**3/9 - 10768*k**2/9 - 123970*k - 19044.
-2*(k + 207)**2*(13*k + 2)/9
Factor c**5 - 269*c**4 + 17683*c**3 + 54673*c**2 + 55216*c + 18496.
(c - 136)**2*(c + 1)**3
Let -7*l**3/4 - 2175*l**2/4 + 1251*l - 313 = 0. What is l?
-313, 2/7, 2
Factor -x**5/5 + 26*x**4 - 5292*x**3/5 + 64152*x**2/5.
-x**2*(x - 54)**2*(x - 22)/5
Suppose 2*w**3/9 - 266*w**2/9 - 2*w/9 + 266/9 = 0. Calculate w.
-1, 1, 133
Solve -5*r**3 + 45*r**2 + 260*r = 0 for r.
-4, 0, 13
Factor y**4 + 4*y**3 + 5*y**2 + 2*y.
y*(y + 1)**2*(y + 2)
Let -2*v**2 + 3456*v - 1492992 = 0. Calculate v.
864
Solve -6*i**3 - 14*i**2 + 8 = 0.
-2, -1, 2/3
Factor j**5/4 - 3*j**3/2 + 2*j**2 - 3*j/4.
j*(j - 1)**3*(j + 3)/4
Factor -104*w**2 - 92*w + 12.
-4*(w + 1)*(26*w - 3)
Find g such that -3*g**5/5 + 54*g**4/5 - 243*g**3/5 + 336*g**2/5 - 144*g/5 = 0.
0, 1, 4, 12
Suppose 3*x**5/4 - 3*x**4/2 - 9*x**3/2 + 6*x**2 + 15*x/4 - 9/2 = 0. What is x?
-2, -1, 1, 3
Solve 2*p**4/7 - 318*p**3/7 + 940*p**2/7 - 624*p/7 = 0 for p.
0, 1, 2, 156
Determine x, given that x**3/9 + 59*x**2/9 - 121*x/9 + 61/9 = 0.
-61, 1
Factor 7*x**3/5 - 53*x**2/5 + 28*x/5.
x*(x - 7)*(7*x - 4)/5
Factor 4*s**4/5 - 21*s**3 + 221*s**2/5 - 24*s.
s*(s - 24)*(s - 1)*(4*s - 5)/5
Factor -s**3/6 + 37*s**2/6 + 13*s.
-s*(s - 39)*(s + 2)/6
What is k in -5*k**3 - 4270*k**2 - 911645*k = 0?
-427, 0
Find q, given that -3*q**2 + 1962*q - 3912 = 0.
2, 652
Solve -5*x**5 - 45*x**4 - 125*x**3 - 135*x**2 - 50*x = 0 for x.
-5, -2, -1, 0
Determine k so that 2*k**3/7 - 52*k**2/7 + 338*k/7 = 0.
0, 13
Determine x, given that x**2 - 9068*x + 20557156 = 0.
4534
What is r in -4*r**3 + 32*r**2 + 36*r = 0?
-1, 0, 9
Factor -3*o**4/4 - 12*o**3 - 36*o**2.
-3*o**2*(o + 4)*(o + 12)/4
Find w such that 5*w**3 - 100*w**2 + 165*w + 270 = 0.
-1, 3, 18
Factor -2*o**4/21 + 2*o**3/7 - 4*o**2/21.
-2*o**2*(o - 2)*(o - 1)/21
Factor -4*o**2 - 376*o - 4480.
-4*(o + 14)*(o + 80)
Factor 5*l**5 - 15*l**4 - 5*l**3 + 55*l**2 - 60*l + 20.
5*(l - 2)*(l - 1)**3*(l + 2)
Determine y so that -60*y**5 + 201*y**4 + 3270*y**3 + 6852*y**2 + 3432*y + 480 = 0.
-4, -2, -2/5, -1/4, 10
Determine f, given that -f**4/3 - 28*f**3/3 + 620*f**2/3 - 1184*f + 2112 = 0.
-44, 4, 6
Factor -2*a**3/3 - 340*a**2 + 1022*a/3.
-2*a*(a - 1)*(a + 511)/3
Factor 20*k**3 + 105*k**2 + 145*k + 30.
5*(k + 2)*(k + 3)*(4*k + 1)
Solve 2*x**5/9 - 16*x**4/9 + 8*x**3/3 + 44*x**2/9 - 58*x/9 - 20/3 = 0.
-1, 2, 3, 5
Factor -2*v**3 + 328*v**2 - 1280*v.
-2*v*(v - 160)*(v - 4)
Solve -2*z**5 + 32*z**4 - 106*z**3 + 124*z**2 - 48*z = 0 for z.
0, 1, 2, 12
Factor 3*f**3 + 2187*f**2 + 531441*f + 43046721.
3*(f + 243)**3
Suppose -2*q**4/15 + 22*q**3/15 - 2*q**2 - 18*q/5 = 0. Calculate q.
-1, 0, 3, 9
Factor g**3/11 + 18*g**2/11 - 19*g/11.
g*(g - 1)*(g + 19)/11
Factor -44*z**2 + 244*z - 120.
-4*(z - 5)*(11*z - 6)
Determine d, given that 2*d**2 - 20*d - 78 = 0.
-3, 13
Solve 2*t**5/15 + 4*t**4/15 - 8*t**3/5 - 28*t**2/15 + 22*t/15 + 8/5 = 0 for t.
-4, -1, 1, 3
Suppose j**3/9 - 13*j**2/9 + 13*j/3 - 3 = 0. What is j?
1, 3, 9
Determine o, given that o**2/3 - 11*o/6 + 5/6 = 0.
1/2, 5
Factor -5*z**4 - 95*z**3 + 100*z**2.
-5*z**2*(z - 1)*(z + 20)
Factor u**5/4 + u**4 - 11*u**3 - 24*u**2.
u**2*(u - 6)*(u + 2)*(u + 8)/4
Suppose 10*t**2 - 201*t/10 + 1/5 = 0. What is t?
1/100, 2
Suppose o**2/9 + 406*o/9 + 41209/9 = 0. Calculate o.
-203
Factor -15*p**3 + 43*p**2 - 24*p - 4.
-(p - 2)*(p - 1)*(15*p + 2)
Factor 5*s**2/6 - 2075*s/6 + 345.
5*(s - 414)*(s - 1)/6
Factor -4*p**5 + 4*p**4 + 8*p**3.
-4*p**3*(p - 2)*(p + 1)
Factor -4*c**3 + 4*c**2 + 20*c + 12.
-4*(c - 3)*(c + 1)**2
Factor -2*q**3/13 + 60*q**2/13 + 2*q/13 - 60/13.
-2*(q - 30)*(q - 1)*(q + 1)/13
Factor -2*r**3 + 12*r**2 + 2*r - 60.
-2*(r - 5)*(r - 3)*(r + 2)
Factor g**5/5 - 4*g**4 - 44*g**3/5.
g**3*(g - 22)*(g + 2)/5
Factor 2*q**4/21 + 4*q**3/21 - 2*q**2/7 - 8*q/21 + 8/21.
2*(q - 1)**2*(q + 2)**2/21
Solve -3*n**2/4 - 54*n - 972 = 0.
-36
Find t, given that -t**4/4 - 7*t**3/4 + 19*t**2/4 + 7*t/4 - 9/2 = 0.
-9, -1, 1, 2
Suppose -q**2/2 - 92*q - 4232 = 0. Calculate q.
-92
Factor -2*m**2/5 - 4*m/5 + 198/5.
-2*(m - 9)*(m + 11)/5
Determine c so that 2*c**2/11 - 34*c/11 - 3136/11 = 0.
-32,