q**3/7 + 24*q**2/7 + 65*q/7 + 6.
(q + 1)*(q + 2)*(q + 21)/7
Determine i, given that -81*i**2/4 + 40*i + 1 = 0.
-2/81, 2
Factor -2*g**3 + 12794*g**2 - 25582*g + 12790.
-2*(g - 6395)*(g - 1)**2
Factor -49*w**2/5 - 84*w - 180.
-(7*w + 30)**2/5
Determine z, given that -102*z**5 - 303*z**4/2 + 909*z**3/2 - 129*z**2/2 - 237*z/2 - 18 = 0.
-3, -1/4, -4/17, 1
Let -4*i**3/7 + 572*i**2/7 + 4*i/7 - 572/7 = 0. Calculate i.
-1, 1, 143
Suppose 2*c**4/11 - 12*c**3/11 + 6*c**2/11 + 20*c/11 = 0. Calculate c.
-1, 0, 2, 5
Find s such that 4*s**5 + 56*s**4 - 64*s**3 - 56*s**2 + 60*s = 0.
-15, -1, 0, 1
Factor l**4 + 162*l**3 - 3*l**2 - 484*l + 324.
(l - 1)**2*(l + 2)*(l + 162)
Let -5*j**4 - 86*j**3 - 167*j**2 - 30*j = 0. Calculate j.
-15, -2, -1/5, 0
Suppose 4*i**3 + 4*i**2 = 0. What is i?
-1, 0
Factor 5*k**4 + 155*k**3 - 325*k**2 + 165*k.
5*k*(k - 1)**2*(k + 33)
Factor 3*v**2 + 33*v - 828.
3*(v - 12)*(v + 23)
Let -3*s**3/4 - 27*s**2/2 - 105*s/4 + 225/2 = 0. What is s?
-15, -5, 2
Suppose -4*v**4 - 44*v**3 - 172*v**2 - 276*v - 144 = 0. Calculate v.
-4, -3, -1
Factor u**2/3 + 2206*u/3 + 1216609/3.
(u + 1103)**2/3
Determine d, given that 4*d**5 + 4*d**4 - 20*d**3 + 12*d**2 = 0.
-3, 0, 1
Find k, given that 3*k**4/4 + 99*k**3 - 405*k**2/4 - 399*k/2 = 0.
-133, -1, 0, 2
Factor r**3/4 + 5*r**2/4 + 3*r/4 - 9/4.
(r - 1)*(r + 3)**2/4
Factor -9*h**4 - 60*h**3 + 29*h**2 + 52*h - 28.
-(h + 1)*(h + 7)*(3*h - 2)**2
What is d in d**2/4 - 15*d/4 + 11 = 0?
4, 11
Determine p so that -2*p**5 - 14*p**4 + 2*p**3 + 134*p**2 + 48*p - 360 = 0.
-5, -3, 2
What is c in -2*c**5 - 288*c**4 + 300*c**3 + 1456*c**2 + 870*c = 0?
-145, -1, 0, 3
What is r in 4*r**2 + 588*r + 1160 = 0?
-145, -2
Factor -5*z**2 - 3830*z - 733445.
-5*(z + 383)**2
Solve 2*j**5 - 658*j**4 - 4004*j**3 - 5372*j**2 + 4002*j + 6030 = 0 for j.
-3, -1, 1, 335
Factor -i**3 + 135*i**2 - 4623*i + 4489.
-(i - 67)**2*(i - 1)
Factor -2*f**2/3 + 170*f/3 + 116.
-2*(f - 87)*(f + 2)/3
What is w in -w**3/4 - 5*w**2/2 - 9*w/4 = 0?
-9, -1, 0
Factor 35*h**3/2 + 107*h**2 + 10*h - 12.
(h + 6)*(5*h + 2)*(7*h - 2)/2
Factor 9*v**2/4 + 13417*v/4 - 1491/2.
(v + 1491)*(9*v - 2)/4
Factor -2*o**4 - 25*o**3 - 33*o**2.
-o**2*(o + 11)*(2*o + 3)
Factor -2*s**2 + 4*s + 6.
-2*(s - 3)*(s + 1)
Factor -2*q**4/5 - q**3/5 + q**2 - 2*q/5.
-q*(q - 1)*(q + 2)*(2*q - 1)/5
What is z in 15625*z**4/7 - 17125*z**3/7 + 1536*z**2/7 - 36*z/7 = 0?
0, 6/125, 1
Let 24*a**4 - 81*a**3 + 27*a**2 + 96*a - 36 = 0. Calculate a.
-1, 3/8, 2
Let -42*u**2/5 - 172*u/5 = 0. Calculate u.
-86/21, 0
Determine i so that i**4 + 36*i**3 - 38*i**2 - 36*i + 37 = 0.
-37, -1, 1
Determine i so that -48*i**3 + 2664*i**2 - 1323*i + 165 = 0.
1/4, 55
Solve 2*j**2/7 + 4*j/7 - 240/7 = 0.
-12, 10
Solve 3*i**5 - 54*i**4 + 243*i**3 = 0.
0, 9
Factor n**3 + 18*n**2 - n - 18.
(n - 1)*(n + 1)*(n + 18)
Suppose -9*x**2 - 132*x - 84 = 0. Calculate x.
-14, -2/3
Let 2*z**4/9 + 14*z**3/9 - 160*z**2/9 - 128*z = 0. What is z?
-8, 0, 9
Let d**3 + 12*d**2 + 45*d + 54 = 0. What is d?
-6, -3
Factor 4*m**4 - 4*m**3 - 24*m**2 + 16*m + 32.
4*(m - 2)**2*(m + 1)*(m + 2)
Factor c**3/3 - 7*c/3 - 2.
(c - 3)*(c + 1)*(c + 2)/3
Let -400*k**4/7 - 160*k**3/7 + 204*k**2/7 - 36*k/7 = 0. What is k?
-1, 0, 3/10
Determine q so that 2*q**2 - 388*q + 386 = 0.
1, 193
Let c**2/2 - 331*c/2 - 333 = 0. What is c?
-2, 333
Find i such that i**2/5 - 113*i/5 + 112/5 = 0.
1, 112
Factor 3*a**4 + 825*a**3 - 3333*a**2 + 4179*a - 1674.
3*(a - 2)*(a - 1)**2*(a + 279)
Suppose -2*n**2/11 - 15958*n/11 = 0. Calculate n.
-7979, 0
Factor r**3 + 341*r**2/8 + 831*r/8 - 45.
(r + 3)*(r + 40)*(8*r - 3)/8
Factor -3*h**2 - 264*h - 2340.
-3*(h + 10)*(h + 78)
Factor 2*m**3/3 + 94*m**2/3 - 100*m/3 - 64.
2*(m - 2)*(m + 1)*(m + 48)/3
What is c in -14*c**3 + 408*c**2 + 362*c - 60 = 0?
-1, 1/7, 30
Determine a so that -2*a**4/3 + 88*a**3/3 - 166*a**2/3 - 88*a/3 + 56 = 0.
-1, 1, 2, 42
Factor -9*c**3/5 - 30*c**2 - 97*c/5 - 16/5.
-(c + 16)*(3*c + 1)**2/5
Determine j so that -2*j**3/9 + 16*j**2 - 378*j + 2940 = 0.
21, 30
Suppose 2*m**2/9 + 448*m/9 + 446/9 = 0. What is m?
-223, -1
Suppose 3*h**5/7 - 12*h**4/7 - 9*h**3/7 + 102*h**2/7 - 156*h/7 + 72/7 = 0. What is h?
-3, 1, 2
What is v in -v**4/2 + 15*v**3 + 39*v**2/2 - 118*v - 186 = 0?
-2, 3, 31
Factor 1922*k**2/5 + 7192*k/5 + 6728/5.
2*(31*k + 58)**2/5
Factor 2*l**3/15 - 4*l**2/3 + 32*l/15.
2*l*(l - 8)*(l - 2)/15
Let -g**5 - 37*g**4 - 191*g**3 - 155*g**2 = 0. Calculate g.
-31, -5, -1, 0
Determine k, given that k**4/5 + 16*k**3/5 - 18*k**2/5 - 16*k/5 + 17/5 = 0.
-17, -1, 1
Factor 3*h**2/2 + 1092*h + 198744.
3*(h + 364)**2/2
Solve 20*m**5 + 3475*m**4 + 6030*m**3 + 1715*m**2 - 860*m = 0.
-172, -1, 0, 1/4
Find l, given that -3*l**5/2 + 15*l**4/2 - 9*l**3 = 0.
0, 2, 3
Factor -x**5/7 - x**4/7 + x**3/7 + x**2/7.
-x**2*(x - 1)*(x + 1)**2/7
Factor -2*f**4 - 558*f**3 - 1110*f**2 - 554*f.
-2*f*(f + 1)**2*(f + 277)
Factor -5*j**3 + 50*j**2 - 115*j + 70.
-5*(j - 7)*(j - 2)*(j - 1)
Factor 3*u**2 + 552*u + 25392.
3*(u + 92)**2
Solve -4*g**3 - 40*g**2/3 + 92*g/3 - 40/3 = 0.
-5, 2/3, 1
Factor 2*y**2/7 - 656*y/7 + 53792/7.
2*(y - 164)**2/7
Determine n so that 2*n**3/13 - 8*n**2/13 + 6*n/13 = 0.
0, 1, 3
Solve -4*u**4/5 - 68*u**3 + 1044*u**2/5 - 1052*u/5 + 352/5 = 0 for u.
-88, 1
Factor 4*z**2 + 628*z/3 + 208/3.
4*(z + 52)*(3*z + 1)/3
Find a such that -5*a**2 + 185*a + 600 = 0.
-3, 40
Suppose 2*i**3 - 26*i**2 + 24*i = 0. Calculate i.
0, 1, 12
Suppose -3*w**4/5 - 18*w**3/5 + 141*w**2/5 + 252*w + 480 = 0. What is w?
-5, -4, 8
Find q, given that -2*q**4/3 - 10*q**3/3 - 4*q**2/3 + 16*q/3 = 0.
-4, -2, 0, 1
Solve 4*u**2/3 + 12*u + 24 = 0.
-6, -3
Factor 2*v**3/7 + 230*v**2/7 + 228*v/7.
2*v*(v + 1)*(v + 114)/7
Let -v**3/4 + 97*v**2 + 779*v/4 + 195/2 = 0. What is v?
-1, 390
Suppose 11*p**3/5 - 2*p**2/5 - 48*p/5 = 0. What is p?
-2, 0, 24/11
Let -j**2/6 + 10*j/3 - 17/2 = 0. What is j?
3, 17
Factor -2*t**5 - 10*t**4 + 12*t**3.
-2*t**3*(t - 1)*(t + 6)
Factor -g**5/6 + 5*g**4/3 + 7*g**3/3 - 14*g**2/3 - 53*g/6 - 11/3.
-(g - 11)*(g - 2)*(g + 1)**3/6
Factor 3*r**2 + 528*r + 525.
3*(r + 1)*(r + 175)
Solve 3*p**3/8 + 9*p**2/8 - 21*p/2 = 0 for p.
-7, 0, 4
Factor -n**2 + 1580*n - 624100.
-(n - 790)**2
Factor -5*c**2 + 60*c - 100.
-5*(c - 10)*(c - 2)
Suppose -y**2/4 + 371*y/4 + 93 = 0. Calculate y.
-1, 372
Suppose -2*k**5/7 - 12*k**4/7 + 2*k**3/7 + 12*k**2/7 = 0. What is k?
-6, -1, 0, 1
Find c such that -162*c**5/5 + 882*c**4/5 - 1502*c**3/5 + 206*c**2 - 272*c/5 + 24/5 = 0.
2/9, 1, 3
Factor -5*g**2 + 175*g.
-5*g*(g - 35)
Factor -210675*j**4/2 - 209085*j**3 - 204327*j**2/2 + 1578*j - 6.
-3*(j + 1)**2*(265*j - 2)**2/2
Factor -t**3/7 - 5*t**2/7 + 13*t/7 - 1.
-(t - 1)**2*(t + 7)/7
Solve 2*j**5/9 + 1960*j**4/9 - 218*j**3 = 0 for j.
-981, 0, 1
What is l in l**3/2 - 3*l**2/2 - 2*l = 0?
-1, 0, 4
Factor 3*v**2/5 - 72*v/5.
3*v*(v - 24)/5
Suppose -4*l**3/3 - 128*l**2/3 + 364*l = 0. Calculate l.
-39, 0, 7
Factor -2*l**4 + 124*l**3 - 1658*l**2 - 8184*l - 8712.
-2*(l - 33)**2*(l + 2)**2
Factor -2*q**5/13 + 42*q**4/13 - 150*q**3/13 - 722*q**2/13 - 816*q/13 - 288/13.
-2*(q - 12)**2*(q + 1)**3/13
Factor r**4 + 29*r**3 + 54*r**2.
r**2*(r + 2)*(r + 27)
Factor 2*a**3 + 174*a**2 - 354*a + 178.
2*(a - 1)**2*(a + 89)
Let 4*s**2/9 + 2606*s/3 - 3910/9 = 0. Calculate s.
-1955, 1/2
Find i such that -3*i**2/2 + 18*i + 39/2 = 0.
-1, 13
Find b such that -2*b**2/7 - 3104*b/7 - 1204352/7 = 0.
-776
Suppose -891*l**3/5 - 477*l**2/5 - 21*l/5 + 13/5 = 0. What is l?
-1/3, 13/99
What is m in 27*m**4 + 141*m**3 + 219*m**2 + 123*m + 18 = 0?
-3, -1, -2/9
What is r in -2*r**3 + 8*r**2 + 198*r + 468 = 0?
-6, -3, 13
Find u such that 4*u**5 + 252*u**4 + 3564*u**3 - 13052*u**2 + 1056*u + 17424 = 0.
-33, -1, 2
Factor -4*f**4 + 76*f**2 + 120*f.
-4*f*(f - 5)*(f + 2)*(f + 3)
Find k such that k**3 - 104*k**2 = 0.
0, 104
Factor 5*q**2 + 1895*q + 3770.
5*(q + 2)*(q + 377)
Solve -2*f**5 + 164*f**4 - 320*f**3 - 4*f**2 + 322*f - 160 = 0.
-1, 1, 80
Factor 2*v**2 + 704*v.
2*v*(v + 352)
What is z in -z**3/4 - 9*z**2/2 - 23*z - 30 = 0?
-10, -6, -2
Factor 3*w**4/5 + 6*w**3 + 63*w**2/5 - 108*w/5 - 324/5.
3*(w - 2)*(w + 3)**2*(w + 6)/5
Solve -4*q**4 - 16*q**3 - 20*q**2 - 8*q = 0.
-2, -1, 0
Solve -5*z**5 + 65*z**4 - 275*z**3 + 515*z**2 - 440*z + 140 = 0.
1, 2, 7
Factor -4*c**2 - 648*c - 26244.
-4*(c + 81)**2
Factor 4*l**4 - 16*l**3 -