18/7.
-2*(g - 3)**2*(g + 1)/7
Suppose 35*d**5/3 + 575*d**4/3 - 585*d**3 - 715*d**2/3 + 2720*d/3 + 380 = 0. What is d?
-19, -1, -3/7, 2
Factor -72*r**5 - 444*r**4 - 782*r**3 - 289*r**2.
-r**2*(2*r + 1)*(6*r + 17)**2
Let -s**5/3 + 2*s**4/3 + 23*s**3/3 + 4*s**2 - 12*s = 0. What is s?
-3, -2, 0, 1, 6
Factor 2*r**3 - 92*r**2 + 178*r - 88.
2*(r - 44)*(r - 1)**2
Determine d so that -d**2 - 50*d - 625 = 0.
-25
Solve 2*v**3/7 + 1172*v**2/7 + 171698*v/7 = 0.
-293, 0
Factor -7*n**3/4 + 23*n**2/4 - n/4 - 15/4.
-(n - 3)*(n - 1)*(7*n + 5)/4
Factor t**2 - 209*t + 820.
(t - 205)*(t - 4)
Factor 2*j**3/3 + 196*j**2/3 + 4802*j/3.
2*j*(j + 49)**2/3
Determine r so that -122*r**3 - 712*r**2/5 - 98*r/5 + 4/5 = 0.
-1, -1/5, 2/61
Factor 4*w**3 + 720*w**2 + 43200*w + 864000.
4*(w + 60)**3
Factor 3*j**3/2 - 3*j**2/2 - 12*j + 18.
3*(j - 2)**2*(j + 3)/2
Factor -2*r**4 + 672*r**3 - 50816*r**2 - 946176*r - 3964928.
-2*(r - 176)**2*(r + 8)**2
Find n, given that -n**4/2 - 15*n**3/2 + 37*n**2/2 + 51*n/2 = 0.
-17, -1, 0, 3
Determine s, given that s**3/5 - 17*s**2/5 + 11*s - 39/5 = 0.
1, 3, 13
Factor 5*n**2 + 90*n + 225.
5*(n + 3)*(n + 15)
Factor 4*c**3 - 26664*c**2 + 44435556*c.
4*c*(c - 3333)**2
Factor -2985*v**2 + 9*v.
-3*v*(995*v - 3)
Find j such that 64*j**5/9 - 86*j**4/3 + 392*j**3/9 - 268*j**2/9 + 8*j - 2/9 = 0.
1/32, 1
Solve -3*p**4 + 3900*p**3 - 1901250*p**2 + 411937500*p - 33469921875 = 0 for p.
325
Factor -2*y**5 + 74*y**4 - 338*y**3 + 590*y**2 - 452*y + 128.
-2*(y - 32)*(y - 2)*(y - 1)**3
Determine n so that 6*n**4/13 - 2*n**3/13 - 10*n**2/13 + 2*n/13 + 4/13 = 0.
-1, -2/3, 1
Find v such that v**2/3 - 25*v/3 + 48 = 0.
9, 16
Factor -2*j**2 - 100*j + 102.
-2*(j - 1)*(j + 51)
Factor 2*j**2/7 + 16*j/7 - 66/7.
2*(j - 3)*(j + 11)/7
Suppose 5*h**3/4 + 45*h**2/4 + 25*h = 0. What is h?
-5, -4, 0
Suppose 3*h**3 - 13*h**2 + 13*h - 3 = 0. What is h?
1/3, 1, 3
Factor 3*h**2/4 - 1827*h - 7311/4.
3*(h - 2437)*(h + 1)/4
Factor -2*v**3/13 + 18*v**2/13 + 330*v/13 + 950/13.
-2*(v - 19)*(v + 5)**2/13
Factor d**3/3 - 21*d**2 + 440*d - 9196/3.
(d - 22)**2*(d - 19)/3
Let -4*f**2 + 324*f - 320 = 0. What is f?
1, 80
Factor -z**3 + 258*z**2 - 16641*z.
-z*(z - 129)**2
Let -u**3 + 135*u**2 - 4623*u + 4489 = 0. Calculate u.
1, 67
Factor 2*h**2/9 + 10*h/9 - 28/9.
2*(h - 2)*(h + 7)/9
Factor 2*p**2/19 - 1182*p/19 + 1180/19.
2*(p - 590)*(p - 1)/19
Factor d**4/5 + 8*d**3 + 317*d**2/5 + 518*d/5 + 48.
(d + 1)**2*(d + 8)*(d + 30)/5
Solve -4*h**4 - 20*h**3 + 252*h**2 + 980*h - 2744 = 0.
-7, 2, 7
Factor -2*k**2 + 3408*k - 1451808.
-2*(k - 852)**2
Factor -80*o**3 - 520*o**2 - 245*o - 30.
-5*(o + 6)*(4*o + 1)**2
Suppose -1765*p**2 - 3520*p + 20 = 0. What is p?
-2, 2/353
What is s in s**3 - 3036*s**2 + 3072432*s - 1036433728 = 0?
1012
Suppose -5*k**5 - 10*k**4 + 45*k**3 + 110*k**2 - 20*k - 120 = 0. What is k?
-2, 1, 3
Let 4*w**2/3 - 152*w/3 + 1444/3 = 0. Calculate w.
19
Factor 2*z**2 - 2502*z - 5012.
2*(z - 1253)*(z + 2)
Factor 5*h**4 + 35*h**3 - 1520*h**2 + 7360*h.
5*h*(h - 8)**2*(h + 23)
Factor 5*m**2/3 - 197*m/3 + 26.
(m - 39)*(5*m - 2)/3
What is o in -3*o**3/4 - 37*o**2/4 + 27*o/4 + 13/4 = 0?
-13, -1/3, 1
Suppose 5*v**3 - 105*v**2 + 490*v = 0. Calculate v.
0, 7, 14
Let 5*x**4 - 15*x**3 - 205*x**2 + 915*x - 700 = 0. What is x?
-7, 1, 4, 5
Factor -3*n**4 + 3*n**3 + 9*n**2 - 3*n - 6.
-3*(n - 2)*(n - 1)*(n + 1)**2
Suppose -4*g**5 - 360*g**4 - 8088*g**3 + 1072*g**2 + 23580*g - 16200 = 0. What is g?
-45, -2, 1
Factor -33*l**4 - 216*l**3 - 504*l**2 - 480*l - 144.
-3*(l + 2)**3*(11*l + 6)
Solve -c**3 + 451*c**2 - 898*c = 0.
0, 2, 449
Determine r, given that 2*r**2/3 + 124*r + 5766 = 0.
-93
Find l, given that -3*l**4/8 - 255*l**3/8 + 99*l**2 = 0.
-88, 0, 3
Find o, given that 3*o**4 + 6*o**3 - 27*o**2 - 6*o + 24 = 0.
-4, -1, 1, 2
Factor t**3/8 - 3*t**2/8 + t/4.
t*(t - 2)*(t - 1)/8
Factor -2*d**2/7 + 60*d/7 - 450/7.
-2*(d - 15)**2/7
Solve 20*z**3 + 45*z**2 + 30*z + 5 = 0.
-1, -1/4
Suppose -12*n**5 - 480*n**4 - 1647*n**3 + 3027*n**2 + 4026*n + 1080 = 0. Calculate n.
-36, -5, -1/2, 2
Factor 5*b**4 - 25*b**3 - 70*b**2.
5*b**2*(b - 7)*(b + 2)
Find t such that -2*t**3/11 - 3880*t**2/11 + 3882*t/11 = 0.
-1941, 0, 1
Factor -3*w**2 - 249*w + 1044.
-3*(w - 4)*(w + 87)
Let 2*g**3/15 + 24*g**2/5 + 38*g - 1444/15 = 0. Calculate g.
-19, 2
Suppose -3*w**5 - 58*w**4 - 14*w**3 + 96*w**2 + 17*w - 38 = 0. Calculate w.
-19, -1, 2/3, 1
What is v in -3*v**3/8 + 15*v**2/8 - 3*v/4 - 3 = 0?
-1, 2, 4
Solve 3*r**3/4 + 1917*r**2/4 + 408321*r/4 + 28990791/4 = 0 for r.
-213
Find j, given that 5*j**4 - 175*j**3 + 1905*j**2 - 6525*j + 6750 = 0.
2, 3, 15
Find u, given that -3*u**3 + 5841*u**2 - 3790809*u + 820078347 = 0.
649
Suppose -3*v**2 + 834*v - 57963 = 0. What is v?
139
Suppose -5*k**3/4 + 16*k**2 + 79*k/4 - 69/2 = 0. Calculate k.
-2, 1, 69/5
Determine p so that -102*p**2/5 + 222*p + 132/5 = 0.
-2/17, 11
What is q in -2*q**2/3 - 2200*q/3 - 605000/3 = 0?
-550
Factor 64*r**4 + 1888*r**3 + 15268*r**2 + 19824*r + 7056.
4*(r + 14)**2*(4*r + 3)**2
Factor z**4/4 + 47*z**3/4 + 369*z**2/4 + 1053*z/4 + 513/2.
(z + 3)**3*(z + 38)/4
Determine r so that r**3/7 - 24*r**2/7 + 165*r/7 - 242/7 = 0.
2, 11
Factor 3*d**5/5 + 15*d**4 + 141*d**3/5 + 69*d**2/5.
3*d**2*(d + 1)**2*(d + 23)/5
Determine c so that 60*c**5 - 124*c**4 + 16*c**2 = 0.
-1/3, 0, 2/5, 2
Factor 3*z**5 + 195*z**4 + 3264*z**3 + 3072*z**2.
3*z**2*(z + 1)*(z + 32)**2
Factor 8*c**4/9 + 26*c**3/9 + 10*c**2/3 + 14*c/9 + 2/9.
2*(c + 1)**3*(4*c + 1)/9
What is l in 4*l**2/7 - 28 = 0?
-7, 7
Factor -5*z**2/4 + 4885*z/2 - 4772645/4.
-5*(z - 977)**2/4
Factor -r**4/5 + 3*r**3/5 + r**2/5 - 3*r/5.
-r*(r - 3)*(r - 1)*(r + 1)/5
Solve 5*n**4 + 30*n**3 + 60*n**2 + 50*n + 15 = 0 for n.
-3, -1
What is k in -3*k**2/2 + 15*k + 1653/2 = 0?
-19, 29
Factor 4*h**3 - 216*h**2 + 3456*h - 13824.
4*(h - 24)**2*(h - 6)
Suppose -g**5/5 + 62*g**4/5 + g**3/5 - 62*g**2/5 = 0. Calculate g.
-1, 0, 1, 62
Determine o, given that -4*o**5 - 72*o**4 - 56*o**3 + 224*o**2 + 348*o + 136 = 0.
-17, -1, 2
Determine f, given that -4*f**2 - 60*f - 56 = 0.
-14, -1
Factor 2*r**2 + 84*r + 304.
2*(r + 4)*(r + 38)
Suppose 3*v**3/7 + 39*v**2/7 - 468*v/7 + 108 = 0. Calculate v.
-21, 2, 6
Factor j**3 - 146*j**2 + 973*j.
j*(j - 139)*(j - 7)
Suppose t**5/9 + 736*t**4/9 + 59000*t**3/3 + 13000000*t**2/9 - 218750000*t/9 = 0. Calculate t.
-250, 0, 14
Let 3*x**3/2 - 261*x**2/2 - 1455*x = 0. Calculate x.
-10, 0, 97
Factor q**4/4 - 27*q**3/4 + 69*q**2/2 - 65*q + 42.
(q - 21)*(q - 2)**3/4
Factor -2*o**4 - 94*o**3 + 24*o**2 + 1096*o - 1504.
-2*(o - 2)**2*(o + 4)*(o + 47)
Suppose -4*x**3 + 2032*x**2 - 8080*x + 8064 = 0. Calculate x.
2, 504
Factor 5*b**2 + 4110*b - 4115.
5*(b - 1)*(b + 823)
Solve 3*x**3 - 54*x**2 + 45*x + 102 = 0 for x.
-1, 2, 17
Factor -4*u**4 - 59*u**3 - 238*u**2 - 147*u.
-u*(u + 7)**2*(4*u + 3)
Let 3528*c**2/11 + 168*c/11 + 2/11 = 0. Calculate c.
-1/42
Suppose b**4/5 + 6*b**3/5 + 9*b**2/5 + 4*b/5 = 0. What is b?
-4, -1, 0
Solve -2*d**2/5 + 60*d + 608/5 = 0 for d.
-2, 152
Find k such that 4*k**4 + 228*k**3 - 236*k**2 - 228*k + 232 = 0.
-58, -1, 1
Find c such that c**2/3 - 97*c/3 - 100 = 0.
-3, 100
Factor 2*b**3 - 1212*b**2 + 244824*b - 16484816.
2*(b - 202)**3
Solve x**4/2 + 207*x**3/2 + 5303*x**2 - 5616*x - 10816 = 0.
-104, -1, 2
Let g**2/5 + 2*g/5 - 3/5 = 0. Calculate g.
-3, 1
Let 2*y**3/3 - 302*y**2/3 - 308*y = 0. What is y?
-3, 0, 154
Factor -2*o**2 + 162*o + 164.
-2*(o - 82)*(o + 1)
Find z, given that 6*z**5/13 - 14*z**4/13 - 66*z**3/13 - 66*z**2/13 - 20*z/13 = 0.
-1, -2/3, 0, 5
Factor 3*c**2 + 216*c + 420.
3*(c + 2)*(c + 70)
Determine m so that -10*m**4/7 + 152*m**3/7 - 766*m**2/7 + 1416*m/7 - 792/7 = 0.
1, 11/5, 6
Solve -2*b**2/3 + 38*b/3 - 140/3 = 0 for b.
5, 14
Suppose -r**4/3 + 167*r**3/3 + 56*r**2 = 0. Calculate r.
-1, 0, 168
Let 4*x**2/5 - 77*x/5 + 19/5 = 0. Calculate x.
1/4, 19
Solve w**5/3 - 6*w**4 + 113*w**3/3 - 304*w**2/3 + 112*w - 128/3 = 0.
1, 4, 8
Factor 5*l**4 + 10*l**3 - 20*l**2 - 10*l + 15.
5*(l - 1)**2*(l + 1)*(l + 3)
Suppose 3*z**3 + 156*z**2 + 747*z - 3726 = 0. What is z?
-46, -9, 3
Determine c so that 171*c**3/2 - 383*c**2/2 + 124*c/3 - 2/3 = 0.
1/57, 2/9, 2
Factor 45*r**4 + 705*r**3 + 455*r**2 + 75*r.
5*r*(r + 15)*(3*r + 1)**2
Determine u so that -u**2 + 10592*u - 28047616 = 0.
5296
Factor 10*r**2 - 114*r + 44.
2*(r