- 964*a**2 + 1940*a - 972.
-4*(a - 1)**2*(a + 243)
Determine i, given that 3*i**4 - 258*i**3 - 264*i**2 + 258*i + 261 = 0.
-1, 1, 87
Determine i, given that -i**2 + 14*i + 15 = 0.
-1, 15
Find q, given that -3*q**5 - 6*q**4 + 36*q**3 - 42*q**2 + 15*q = 0.
-5, 0, 1
Factor 2*m**4/3 - 8*m**3 + 28*m**2 - 104*m/3 + 14.
2*(m - 7)*(m - 3)*(m - 1)**2/3
Determine d, given that 4*d**3/3 + 2*d**2 + 2*d/3 = 0.
-1, -1/2, 0
Determine f so that -5*f**5 + 10*f**4 + 85*f**3 + 10*f**2 - 260*f - 200 = 0.
-2, -1, 2, 5
Determine g so that g**3 + 13*g**2 - 30*g = 0.
-15, 0, 2
Factor 5*r**2 - 815*r + 1610.
5*(r - 161)*(r - 2)
Factor -5*a**5 - 35*a**4 - 50*a**3 + 10*a**2 + 55*a + 25.
-5*(a - 1)*(a + 1)**3*(a + 5)
Let -y**2/2 + 65*y + 1332 = 0. What is y?
-18, 148
Factor 20*x**4 - 84*x**3 - 84*x**2 + 20*x.
4*x*(x - 5)*(x + 1)*(5*x - 1)
Let -w**3/7 - 288*w**2/7 - 41*w = 0. What is w?
-287, -1, 0
Solve -3*u**2 - 69*u = 0.
-23, 0
Factor -2*c**3 - 293*c**2/2 - 1177*c/2 - 138.
-(c + 4)*(c + 69)*(4*c + 1)/2
Factor -5*f**5 - 26*f**4 - 35*f**3 + 14*f**2 + 44*f + 8.
-(f - 1)*(f + 2)**3*(5*f + 1)
Find s such that -2*s**2/7 - 222*s/7 + 32 = 0.
-112, 1
Factor l**3 + 4*l**2 - 32*l.
l*(l - 4)*(l + 8)
Solve 5*j**2 + 420*j = 0.
-84, 0
Factor -10*z**2 - 1358*z + 272.
-2*(z + 136)*(5*z - 1)
Solve 36*a**2 + 120*a + 100 = 0.
-5/3
Factor -5*u**4 + 40*u**3 - 100*u**2 + 80*u.
-5*u*(u - 4)*(u - 2)**2
Factor 2*d**2 + 58*d.
2*d*(d + 29)
Let 2*a**5 - 4*a**4 - 14*a**3 + 40*a**2 - 24*a = 0. What is a?
-3, 0, 1, 2
Suppose -2*o**2 - 552*o - 38088 = 0. What is o?
-138
Determine c so that 4*c**5 - 8*c**4 - 96*c**3 - 64*c**2 + 320*c + 384 = 0.
-2, 2, 6
Suppose -v**3/5 + 6*v**2 - 183*v/5 + 154/5 = 0. What is v?
1, 7, 22
Factor -4*p**2 + 232*p - 3364.
-4*(p - 29)**2
Factor c**4/3 + 11*c**3/3 + 6*c**2.
c**2*(c + 2)*(c + 9)/3
Factor -4*c**4/5 - 664*c**3/5 - 26196*c**2/5 + 22576*c - 23120.
-4*(c - 2)**2*(c + 85)**2/5
Factor 3*c**3 - 804*c**2 - 2451*c + 3252.
3*(c - 271)*(c - 1)*(c + 4)
Factor h**4/3 - 5*h**3 - h**2 + 43*h/3 + 10.
(h - 15)*(h - 2)*(h + 1)**2/3
Find k such that k**4/4 + 4*k**3 + 37*k**2/2 + 14*k - 147/4 = 0.
-7, -3, 1
Factor w**4/4 + w**3/2 - 9*w**2/4 - 9*w/2.
w*(w - 3)*(w + 2)*(w + 3)/4
Find i, given that 3*i**5/4 + 61*i**4/4 + 257*i**3/4 + 259*i**2/4 + 15*i = 0.
-15, -4, -1, -1/3, 0
What is j in j**5/3 - 2*j**4/3 - 35*j**3/3 - 92*j**2/3 - 92*j/3 - 32/3 = 0?
-2, -1, 8
Factor 2*b**3 + 106*b**2.
2*b**2*(b + 53)
Solve 3*r**2 - 48*r + 165 = 0.
5, 11
Suppose 2*n**4/7 + 24*n**3 + 4128*n**2/7 + 24928*n/7 + 34656/7 = 0. Calculate n.
-38, -6, -2
Factor 4*h**2 - 64.
4*(h - 4)*(h + 4)
Factor 2*p**3/9 + 202*p**2/9 + 4928*p/9 + 11776/3.
2*(p + 16)**2*(p + 69)/9
Factor -s**4 - 7*s**3 - 6*s**2.
-s**2*(s + 1)*(s + 6)
Let -2*x**5/7 - 410*x**4/7 + 418*x**3/7 + 1226*x**2/7 - 2056*x/7 + 824/7 = 0. Calculate x.
-206, -2, 1
Let -27*t**3 + 420*t**2 - 213*t - 180 = 0. What is t?
-4/9, 1, 15
Factor 3*g**5/4 + 9*g**4/4 - 27*g**3/4 - 81*g**2/4.
3*g**2*(g - 3)*(g + 3)**2/4
Factor -h**2/8 - 21*h/2 - 441/2.
-(h + 42)**2/8
Let -4*j**2 + 536*j - 17956 = 0. Calculate j.
67
Factor 2*t**3 + 650*t**2 + 53136*t + 52488.
2*(t + 1)*(t + 162)**2
Factor -z**4/7 + 3*z**3/7 + 3*z**2/7 - 11*z/7 + 6/7.
-(z - 3)*(z - 1)**2*(z + 2)/7
Factor -2*z**5/7 - 36*z**4/7 - 24*z**3/7 + 1168*z**2/7 - 3072*z/7 + 2304/7.
-2*(z - 2)**3*(z + 12)**2/7
Let 33*i**2/4 - 14349*i/4 - 1305/2 = 0. Calculate i.
-2/11, 435
Factor -9*c**2/7 + 22458*c/7 - 7485/7.
-3*(c - 2495)*(3*c - 1)/7
Factor -2*o**3/13 + 58*o**2 - 70686*o/13 - 71442/13.
-2*(o - 189)**2*(o + 1)/13
Factor -q**3/2 + 10*q**2 + 21*q/2.
-q*(q - 21)*(q + 1)/2
Find t such that -27*t**4 - 9*t**3 + 633*t**2 + 421*t + 70 = 0.
-14/3, -1/3, 5
Find v, given that 3*v**2 - 132*v + 1452 = 0.
22
Factor 4*k**4 - 252*k**3 - 260*k**2 + 252*k + 256.
4*(k - 64)*(k - 1)*(k + 1)**2
Find w, given that w**5/2 - 4*w**3 + 8*w = 0.
-2, 0, 2
Determine a, given that 5*a**5 - 5*a**4 - 65*a**3 + 125*a**2 - 60*a = 0.
-4, 0, 1, 3
Solve -5*a**3 + 37260*a**2 - 92553840*a + 76634579520 = 0.
2484
Factor -c**3 + 48*c**2 - 768*c + 4096.
-(c - 16)**3
Find c, given that -3*c**2/5 + 336*c + 3372/5 = 0.
-2, 562
Factor 2*s**3/9 + 4*s**2/9 - 10*s/9 - 4/3.
2*(s - 2)*(s + 1)*(s + 3)/9
Factor -2*n**4/5 - 4*n**3 - 26*n**2/5 + 24*n - 72/5.
-2*(n - 1)**2*(n + 6)**2/5
Determine c, given that -29*c**3/3 + 752*c**2/3 - 4849*c/3 - 338/3 = 0.
-2/29, 13
Factor -2*t**4/5 - 602*t**3/5 - 9120*t**2 - 9000*t.
-2*t*(t + 1)*(t + 150)**2/5
Solve -p**2 - 22*p + 48 = 0 for p.
-24, 2
Solve -4*s**4 - 140*s**3 - 1216*s**2 = 0.
-19, -16, 0
Factor 5*l**5 - 1340*l**4 + 88430*l**3 + 180900*l**2 + 91125*l.
5*l*(l - 135)**2*(l + 1)**2
Factor -2*o**3 - 26*o**2 - 80*o.
-2*o*(o + 5)*(o + 8)
Find m, given that -6*m**2/7 + 2*m = 0.
0, 7/3
Suppose 2*b**5/17 + 74*b**4/17 - 180*b**3/17 - 964*b**2/17 - 1102*b/17 - 390/17 = 0. What is b?
-39, -1, 5
Factor -2*l**4 + 46*l**3.
-2*l**3*(l - 23)
Let s**4/4 + 245*s**3/2 + 62425*s**2/4 + 147000*s + 360000 = 0. What is s?
-240, -5
Factor 4*i**2/3 - 136*i/3 + 124.
4*(i - 31)*(i - 3)/3
Let -z**5/4 - 11*z**4/4 - 9*z**3/4 + 11*z**2/4 + 5*z/2 = 0. What is z?
-10, -1, 0, 1
Factor -5*p**3 - 90*p**2 - 145*p + 240.
-5*(p - 1)*(p + 3)*(p + 16)
Suppose 2*f**2/3 - 16*f/3 + 32/3 = 0. What is f?
4
Determine q, given that 2*q**4 - 1094*q**3/5 + 35226*q**2/5 - 278026*q/5 + 105644/5 = 0.
2/5, 11, 49
Solve 3*b**4/8 - 21*b**3/8 - 387*b**2/8 - 699*b/8 - 42 = 0 for b.
-7, -1, 16
What is k in k**2/3 - 340*k/3 + 28900/3 = 0?
170
Suppose -5*j**3/2 + 105*j**2/2 - 290*j + 390 = 0. Calculate j.
2, 6, 13
Factor -52*t**2 - 60*t - 8.
-4*(t + 1)*(13*t + 2)
What is q in 5*q**5 - 185*q**4 + 2735*q**3 - 20195*q**2 + 74480*q - 109760 = 0?
7, 8
Suppose 5*x**4 - 55*x**3 - 150*x**2 + 220*x + 520 = 0. What is x?
-2, 2, 13
Let -4*s**5 + 48*s**4 + 508*s**3 - 5160*s**2 - 12672*s + 17280 = 0. Calculate s.
-10, -3, 1, 12
Determine y so that -4*y**5 - 48*y**4 - 80*y**3 + 8*y**2 + 84*y + 40 = 0.
-10, -1, 1
Determine u so that 2*u**2/5 + 4*u/5 = 0.
-2, 0
Solve 5*x**3/3 - 878*x**2/3 + 3088*x/3 + 1376/3 = 0.
-2/5, 4, 172
Solve 351*v**3/5 + 6*v**2/5 = 0 for v.
-2/117, 0
Suppose 2*g**2/7 + 2028*g/7 + 2026/7 = 0. Calculate g.
-1013, -1
Solve -2*v**3/9 + 286*v**2/9 + 578*v/9 + 290/9 = 0.
-1, 145
Suppose -21*t**4 - 40*t**3 + 235*t**2 + 230*t - 24 = 0. What is t?
-4, -1, 2/21, 3
Solve u**3/6 + 151*u**2/6 + 299*u/6 + 149/6 = 0.
-149, -1
Factor -4*f**2 + 1132*f - 1128.
-4*(f - 282)*(f - 1)
What is g in -2*g**2 + 80*g - 768 = 0?
16, 24
Factor a**2 - 20*a + 100.
(a - 10)**2
Suppose y**3 - 15*y**2 - y + 15 = 0. What is y?
-1, 1, 15
Factor 2*v**3/5 + 142*v**2/5 + 208*v + 2016/5.
2*(v + 4)**2*(v + 63)/5
Find m such that -80*m**4 + 59960*m**3 - 11204965*m**2 - 11265005*m = 0.
-1, 0, 1501/4
Find z such that z**2/4 - 423*z/2 + 178929/4 = 0.
423
Determine n so that -2*n**2/3 + 20*n/3 + 544 = 0.
-24, 34
Factor 5*k**3/3 + 8*k**2/3 - 7*k/3 - 2.
(k - 1)*(k + 2)*(5*k + 3)/3
Solve -4*r**5/5 - 40*r**4 - 548*r**3/5 + 752*r**2/5 = 0.
-47, -4, 0, 1
Find k such that 2*k**5/7 + 8*k**4/7 - 8*k**3/7 - 32*k**2/7 = 0.
-4, -2, 0, 2
Let 8*a**4/5 - 172*a**3/5 + 132*a**2 - 832*a/5 + 272/5 = 0. What is a?
1/2, 2, 17
Suppose 3*i**3 + 28*i**2 + 32*i = 0. Calculate i.
-8, -4/3, 0
Factor 5*b**5 - 35*b**4 + 30*b**3.
5*b**3*(b - 6)*(b - 1)
Determine x, given that 3*x**2/7 - 54*x/7 + 24 = 0.
4, 14
Factor 2*i**2/7 - 316*i/7 - 318/7.
2*(i - 159)*(i + 1)/7
Solve 36*k**2 - 4924*k + 4888 = 0 for k.
1, 1222/9
What is s in -10*s**5/3 - 188*s**4/9 + 460*s**3/3 - 640*s**2/3 + 890*s/9 - 44/3 = 0?
-11, 1/3, 2/5, 1, 3
Let -3*c**5/7 - 174*c**4/7 - 3240*c**3/7 - 2400*c**2 + 48000*c/7 = 0. What is c?
-20, 0, 2
Factor -6*n**2/5 + 42072*n/5 - 73752216/5.
-6*(n - 3506)**2/5
Solve -40*k**2 + 305*k + 120 = 0 for k.
-3/8, 8
Find m, given that -2*m**3 + 12*m**2 - 6*m - 20 = 0.
-1, 2, 5
Solve -2*b**2 + 134*b - 132 = 0.
1, 66
What is g in 5*g**4 - 1635*g**3 - 1640*g**2 = 0?
-1, 0, 328
What is h in 2*h**4/3 - 4*h**3/3 - 2*h**2 + 8*h/3 + 8/3 = 0?
-1, 2
Factor 288*y**3 - 1724*y**2 + 2568*y + 36.
4*(y - 3)**2*(72*y + 1)
Let 3*m**2 - 21*m + 30 = 0. What is m?
2, 5
Factor -4*a**2/7 + 164*a/7 + 192.
-4*(a - 48)*(a + 7)/7
Factor -g**2/5 + 601*g/10 + 301/10.
-(g - 301)*(2*g + 1)/10
Solve -g**3/4 - 3*g**2/4 + 45*g/4 - 81/4 = 0.
-9, 3
Factor -4*y**2/7 + 5728*y