95*j + 790.
-5*(j - 79)*(j - 1)**2*(j + 2)
Find q, given that -2*q**4 + 28*q**3 + 96*q**2 + 100*q + 34 = 0.
-1, 17
Let -5*m**3/2 + 25*m**2 - 35*m/2 - 45 = 0. Calculate m.
-1, 2, 9
Factor 2*z**4 + 12*z**3 + 16*z**2 - 12*z - 18.
2*(z - 1)*(z + 1)*(z + 3)**2
Factor -4*x**2 - 1504*x - 1500.
-4*(x + 1)*(x + 375)
Factor 3*l**4 - 54*l**3 + 252*l**2 + 294*l - 3087.
3*(l - 7)**3*(l + 3)
Suppose -4*z**3 + 20*z**2 + 4*z - 20 = 0. What is z?
-1, 1, 5
Suppose g**2 - 9*g = 0. Calculate g.
0, 9
Suppose -5*s**3 + 700*s**2 - 695*s = 0. Calculate s.
0, 1, 139
Factor p**5 - 5*p**4 + 8*p**3 - 4*p**2.
p**2*(p - 2)**2*(p - 1)
Let -5*l**5/3 + 5*l**4 + 25*l**3 + 85*l**2/3 + 10*l = 0. What is l?
-1, 0, 6
Find w such that 81*w**4/5 - 18*w**3/5 - 143*w**2/5 + 16*w/5 + 64/5 = 0.
-8/9, 1
Factor 15*c**2/4 + 51*c/4 + 9/2.
3*(c + 3)*(5*c + 2)/4
Factor -2*u**3/9 + 34*u**2/9 + 4*u.
-2*u*(u - 18)*(u + 1)/9
Determine m, given that -5*m**4 - 120*m**3 - 865*m**2 - 1830*m - 1080 = 0.
-12, -9, -2, -1
Factor 7*p**2/2 - 223*p/2 - 16.
(p - 32)*(7*p + 1)/2
Factor 3*w**2/5 + 14256*w/5 + 16936128/5.
3*(w + 2376)**2/5
Factor 8*g**2/5 - 152*g/5 + 722/5.
2*(2*g - 19)**2/5
Factor -y**2/6 - 125*y/6 + 127/3.
-(y - 2)*(y + 127)/6
Factor -2*d**4/11 - 1202*d**3/11 - 241200*d**2/11 - 16240000*d/11 - 16000000/11.
-2*(d + 1)*(d + 200)**3/11
Determine t so that -t**3 + 374*t**2 + 751*t + 376 = 0.
-1, 376
Determine l so that -5*l**3/2 - 30*l**2 - 120*l - 160 = 0.
-4
Determine o so that 100*o**3 - 288*o**2 - 36*o = 0.
-3/25, 0, 3
What is m in -2*m**3/3 + 2038*m**2 + 6116*m/3 = 0?
-1, 0, 3058
Suppose -4*q**2/5 - 32*q/5 + 36/5 = 0. What is q?
-9, 1
Factor 3*d**2 + 279*d - 2754.
3*(d - 9)*(d + 102)
Factor 9*g**3 - 32*g**2 - 140*g/9 - 16/9.
(g - 4)*(9*g + 2)**2/9
Factor -2*j**3/3 + 2*j**2/3 + 544*j/3.
-2*j*(j - 17)*(j + 16)/3
Factor 2*l**3 + 372*l**2 - 7182*l + 33048.
2*(l - 9)**2*(l + 204)
Suppose 2*b**4/19 + 686*b**3/19 + 77970*b**2/19 + 2883050*b/19 - 6083500/19 = 0. What is b?
-115, 2
Suppose 6*o**4/11 + 6*o**3 + 90*o**2/11 - 162*o/11 = 0. What is o?
-9, -3, 0, 1
Factor -h**2/8 + 1553*h/4 - 2411809/8.
-(h - 1553)**2/8
Factor q**2/3 + 4*q/3 - 32/3.
(q - 4)*(q + 8)/3
Factor 3*k**2/7 + 12*k/7 - 36/7.
3*(k - 2)*(k + 6)/7
Determine c so that 8*c**3 + 2*c**2 - 6*c = 0.
-1, 0, 3/4
Find c, given that 6*c**5 + 33*c**4 + 24*c**3 - 57*c**2 - 30*c + 24 = 0.
-4, -2, -1, 1/2, 1
Factor -2*w**3/7 - 86*w**2/7 - 1102*w/7 - 3610/7.
-2*(w + 5)*(w + 19)**2/7
Let 39*t**2 - 1413*t + 324 = 0. Calculate t.
3/13, 36
Find g, given that 8*g**5 - 34*g**4 + 32*g**3 + 26*g**2 - 40*g + 8 = 0.
-1, 1/4, 1, 2
Factor -3*u**3 - 459*u**2 - 17784*u - 17328.
-3*(u + 1)*(u + 76)**2
Factor -4*l**2/5 + 172*l/5 - 336.
-4*(l - 28)*(l - 15)/5
Let -2*a**2 + 23880*a - 71281800 = 0. Calculate a.
5970
Factor -2*s**2/5 - 14*s/5 - 24/5.
-2*(s + 3)*(s + 4)/5
Suppose -l**5 + 3*l**4/2 + 37*l**3 + 66*l**2 - 36*l - 135/2 = 0. What is l?
-3, -1, 1, 15/2
Factor -2*n**4 - 416*n**3 - 22042*n**2 - 42436*n.
-2*n*(n + 2)*(n + 103)**2
Factor -3*f**2/4 - 1443*f/2 - 694083/4.
-3*(f + 481)**2/4
Factor -4*u**3/9 + 80*u**2/3 - 1600*u/3 + 32000/9.
-4*(u - 20)**3/9
Suppose 2*d**2/5 + 28*d/5 + 48/5 = 0. What is d?
-12, -2
Factor -8*f**5 + 760*f**4 - 23810*f**3 + 237760*f**2 + 256000*f + 65536.
-2*(f - 32)**3*(2*f + 1)**2
Solve h**3/4 + 71*h**2/4 + 97*h/2 - 170 = 0 for h.
-68, -5, 2
Solve -30*g**4 - 185*g**3 - 180*g**2 + 335*g + 60 = 0 for g.
-4, -3, -1/6, 1
Factor 4*x**2 + 12376*x + 9572836.
4*(x + 1547)**2
Factor -4*j**3/5 + 289*j**2/5 + 716*j - 913/5.
-(j - 83)*(j + 11)*(4*j - 1)/5
Solve -5*j**3 - 55*j**2 + 20*j + 220 = 0 for j.
-11, -2, 2
What is b in -b**4/4 - b**3 + 3*b**2/4 + 9*b/2 = 0?
-3, 0, 2
Suppose -f**2/6 + 11*f/6 - 5 = 0. What is f?
5, 6
Determine k, given that -2*k**2 - 16*k + 168 = 0.
-14, 6
Determine c so that c**5 - 6*c**4 + 5*c**3 + 12*c**2 = 0.
-1, 0, 3, 4
Find b, given that -b**3/4 + 15*b**2 - 59*b/4 = 0.
0, 1, 59
Factor -4*q**4 - 152*q**3 - 1572*q**2 - 2160*q + 3888.
-4*(q - 1)*(q + 3)*(q + 18)**2
Factor 225*y**2 + 6*y.
3*y*(75*y + 2)
What is s in 407*s**3/4 + 2*s**2 - 3*s = 0?
-2/11, 0, 6/37
Factor s**3/5 + 38*s**2/5 - 79*s/5 + 8.
(s - 1)**2*(s + 40)/5
Factor -11*w**3/4 - w**2.
-w**2*(11*w + 4)/4
Factor -t**3/2 + 4*t**2 + 13*t/2 - 70.
-(t - 7)*(t - 5)*(t + 4)/2
Find i, given that 12*i**4 + 308*i**3 + 1112*i**2 - 5152*i - 3840 = 0.
-20, -8, -2/3, 3
Find k, given that 3*k**2/4 + 51*k/4 - 867/2 = 0.
-34, 17
Factor -2*k**4/9 - 122*k**3/3 - 7442*k**2/3 - 453962*k/9.
-2*k*(k + 61)**3/9
What is d in -d**4/6 + 71*d**3/3 - 3601*d**2/6 - 17040*d - 86400 = 0?
-9, 80
Find f, given that -5*f**4 + 160*f**3 + 755*f**2 - 1210*f - 1800 = 0.
-5, -1, 2, 36
Suppose 2*w**2/7 - 108*w/7 + 208/7 = 0. Calculate w.
2, 52
Factor 2*o**2/17 + 12*o/17 - 144/17.
2*(o - 6)*(o + 12)/17
Factor -3*h**2/5 + 27*h/5.
-3*h*(h - 9)/5
Factor 2*h**4/7 - 22*h**3/7 + 48*h**2/7.
2*h**2*(h - 8)*(h - 3)/7
Factor o**2/3 - 5888*o/3 + 8667136/3.
(o - 2944)**2/3
Suppose s**4 + 42*s**3 + 360*s**2 + 598*s + 279 = 0. What is s?
-31, -9, -1
Determine g, given that -2*g**4/15 - 56*g**3/15 = 0.
-28, 0
What is u in -8*u**3 + 6*u**2 + 2*u = 0?
-1/4, 0, 1
Factor 3*g**2/5 - 909*g/5 + 906/5.
3*(g - 302)*(g - 1)/5
Let -y**4/3 + 41*y**3/3 + 44*y**2/3 - 28*y = 0. Calculate y.
-2, 0, 1, 42
Factor -2*g**2 + 3116*g + 6240.
-2*(g - 1560)*(g + 2)
Determine k so that 11767*k**4/2 - 19885*k**3/2 + 3819*k**2 + 640*k - 400 = 0.
-2/7, 20/41, 1
Determine q so that 2*q**3/11 - 18*q**2/11 + 30*q/11 - 14/11 = 0.
1, 7
Let -2*k**3 - 32*k**2 - 30*k = 0. Calculate k.
-15, -1, 0
Factor m**4 - 2*m**3 - 35*m**2.
m**2*(m - 7)*(m + 5)
Suppose 5*k**4 - 20*k**2 = 0. Calculate k.
-2, 0, 2
Determine q so that -4*q**4 + 732*q**3 + 6852*q**2 + 11620*q - 19200 = 0.
-5, 1, 192
Suppose -5*w**4 + 5*w**3 + 140*w**2 + 100*w - 240 = 0. Calculate w.
-4, -2, 1, 6
Solve b**5/6 + b**4/6 - b**3 - 2*b**2/3 + 4*b/3 = 0.
-2, 0, 1, 2
Solve -35*z**4/4 - 2613*z**3/2 + 899*z**2 - 150*z = 0.
-150, 0, 2/7, 2/5
Suppose -m**4/2 - 68*m**3 - 2099*m**2 + 14484*m - 45369/2 = 0. Calculate m.
-71, 3
Factor -3*q**3 - 2970*q**2 - 5931*q - 2964.
-3*(q + 1)**2*(q + 988)
Factor 2*l**5 + 26*l**4 + 70*l**3 - 98*l**2.
2*l**2*(l - 1)*(l + 7)**2
Determine v so that -5*v**2 - 340*v = 0.
-68, 0
Solve 2*d**3 - 354*d**2 + 16512*d - 73960 = 0.
5, 86
Suppose -3*a**2/2 + 24*a - 45/2 = 0. What is a?
1, 15
Factor -w**2/4 - 1135*w - 1288225.
-(w + 2270)**2/4
Factor -2*q**2/9 + 22*q/9 + 52/9.
-2*(q - 13)*(q + 2)/9
Factor t**3/7 - 2*t**2 - 32*t/7.
t*(t - 16)*(t + 2)/7
Let s**5 - s**4 - 17*s**3 + 53*s**2 - 56*s + 20 = 0. Calculate s.
-5, 1, 2
Factor c**5/7 + 197*c**4/7 + 12667*c**3/7 + 247699*c**2/7 - 1149184*c/7 + 1203052/7.
(c - 2)**2*(c + 67)**3/7
Suppose -o**3/2 + 23*o**2 - 43*o/2 - 45 = 0. Calculate o.
-1, 2, 45
Factor 5*i**3 + 155*i**2 - 325*i + 165.
5*(i - 1)**2*(i + 33)
Factor -p**2/6 + 53*p/3.
-p*(p - 106)/6
Solve -15*x**4 + 39*x**3 + 18*x**2 - 60*x - 24 = 0.
-1, -2/5, 2
Determine t, given that -t**3 + 4*t = 0.
-2, 0, 2
Factor a**3/3 + 7*a**2/3 - 5*a/3 - 25.
(a - 3)*(a + 5)**2/3
Factor -2*n**3 + 234*n**2 - 7182*n + 19494.
-2*(n - 57)**2*(n - 3)
What is m in 3*m**4 + 9*m**3 - 108*m**2 + 96*m = 0?
-8, 0, 1, 4
Factor 4*z**3 - 44*z**2 - 224*z - 240.
4*(z - 15)*(z + 2)**2
Find p such that 2*p**5/3 - 10*p**4/3 + 6*p**3 - 14*p**2/3 + 4*p/3 = 0.
0, 1, 2
Factor k**2 + 181*k - 182.
(k - 1)*(k + 182)
Factor -f**3/7 + 115*f**2/7 - 227*f/7 + 113/7.
-(f - 113)*(f - 1)**2/7
Determine k so that -6*k**5 - 21*k**4 + 18*k**3 + 21*k**2 - 12*k = 0.
-4, -1, 0, 1/2, 1
Factor t**2/4 - 95*t/2 + 9025/4.
(t - 95)**2/4
Determine z, given that 3*z**3 - 2016*z**2 = 0.
0, 672
Factor -2*u**2/9 - 236*u/9 - 26.
-2*(u + 1)*(u + 117)/9
Solve 5*x**5 + 100*x**4 + 710*x**3 + 2100*x**2 + 2205*x = 0 for x.
-7, -3, 0
Factor -w**2/8 + 15*w/8 - 7/4.
-(w - 14)*(w - 1)/8
Solve -8*o**4/5 + 546*o**3/5 - 8826*o**2/5 - 3346*o - 1470 = 0.
-1, -3/4, 35
Let g**2/4 - 22*g + 87/4 = 0. What is g?
1, 87
Solve -2*o**4/9 - 52*o**3/9 + 6*o**2 = 0 for o.
-27, 0, 1
Suppose j**5 - 2*j**4 - 18*j**3 - 32*j**2 - 23*j - 6 = 0. Calculate j.
-1, 6
Solve -t**3 - 26*t**2 - 49*t - 24 = 0 for t.
-24, -1
Factor -3*z**3 - 84*z**2 - 720*z - 1728.
-3*(z + 4)*(z + 12)**2
What is y in 3*y**5 - 507*y**4 - 2064*y**3 - 2076*y**2 = 0?
-2, 0, 173
Factor 2*l**3/3 + 