7.
(m - 1)*(m + 1024)/7
Factor -2*n**3/7 - 32*n**2/7 - 118*n/7 - 88/7.
-2*(n + 1)*(n + 4)*(n + 11)/7
Let -5*h**3 - 20*h**2 + 180*h + 720 = 0. Calculate h.
-6, -4, 6
Let 2*p**3/5 + 2*p**2 - 52*p/5 - 48 = 0. What is p?
-6, -4, 5
Factor -4*g**4 - 71*g**3 + 101*g**2 + 114*g.
-g*(g - 2)*(g + 19)*(4*g + 3)
Factor -g**2/2 - 343*g - 117649/2.
-(g + 343)**2/2
Suppose 4*y**4/9 + 268*y**3/9 - 184*y**2/3 = 0. What is y?
-69, 0, 2
Factor 4*p**4 - 264*p**3 + 5808*p**2 - 42592*p.
4*p*(p - 22)**3
Factor -u**4/6 - 8*u**3/3 + u**2/6 + 8*u/3.
-u*(u - 1)*(u + 1)*(u + 16)/6
Determine n, given that -3*n**4/2 + 17*n**3/4 - 4*n**2 + 5*n/4 = 0.
0, 5/6, 1
Solve -2*k**4 - 128*k**3 - 2876*k**2 - 26496*k - 85698 = 0.
-23, -9
Solve 17*v**3 - 50*v**2 - 3*v = 0 for v.
-1/17, 0, 3
Determine q, given that q**2 - 12*q + 32 = 0.
4, 8
Let 3*f**3/5 + 30*f**2 + 849*f/5 - 2322/5 = 0. What is f?
-43, -9, 2
Suppose -2*w**4 + 2*w**3 + 50*w**2 - 50*w = 0. Calculate w.
-5, 0, 1, 5
Factor -2*s**3/17 - 10*s**2 - 496*s/17 - 328/17.
-2*(s + 1)*(s + 2)*(s + 82)/17
Factor -2*p**2/3 + 38*p - 1144/3.
-2*(p - 44)*(p - 13)/3
Find t, given that -t**3/9 + 7*t**2/9 + 10*t/9 - 16/9 = 0.
-2, 1, 8
Factor -549*h**2/4 + 189*h/4 - 1/2.
-(3*h - 1)*(183*h - 2)/4
Factor 3*d**2 + 1341*d - 1344.
3*(d - 1)*(d + 448)
Suppose 3*m**4/8 - 15*m**3/2 + 159*m**2/4 - 153*m/2 + 351/8 = 0. What is m?
1, 3, 13
Solve 2*a**5 + 96*a**4 - 200*a**3 + 4*a**2 + 198*a - 100 = 0 for a.
-50, -1, 1
Factor 50*v**4/21 + 80*v**3/21 - 38*v**2/21 + 4*v/21.
2*v*(v + 2)*(5*v - 1)**2/21
Solve 2*w**2/7 + 3772*w + 12449486 = 0.
-6601
Factor -35*c**5 - 75*c**4 - 45*c**3 - 5*c**2.
-5*c**2*(c + 1)**2*(7*c + 1)
Let 3*x**3 + 174*x**2 - 1785*x + 1608 = 0. What is x?
-67, 1, 8
Factor 5*l**2 + 73*l + 42.
(l + 14)*(5*l + 3)
Suppose 3*h**2 - 15*h - 150 = 0. What is h?
-5, 10
Find c, given that -2*c**2/11 - 42*c/11 - 40/11 = 0.
-20, -1
Solve 3*p**2/5 + 324*p/5 - 3927/5 = 0 for p.
-119, 11
Determine o so that o**4 - 53*o**3 + 870*o**2 - 3916*o - 4840 = 0.
-1, 10, 22
What is y in -2*y**4 + 8*y**3 - 10*y**2 + 4*y = 0?
0, 1, 2
Factor k**5 - 2*k**4 - 4*k**3 + 2*k**2 + 3*k.
k*(k - 3)*(k - 1)*(k + 1)**2
Determine g, given that -5*g**5 + 80*g**4 - 190*g**3 - 80*g**2 + 195*g = 0.
-1, 0, 1, 3, 13
Factor 7*o**2 + 194*o - 56.
(o + 28)*(7*o - 2)
Factor -3*o**3/5 - 104*o**2/5 - 167*o/5 - 66/5.
-(o + 1)*(o + 33)*(3*o + 2)/5
Factor d**4 + 3*d**3 - 6*d**2 - 8*d.
d*(d - 2)*(d + 1)*(d + 4)
Let x**5/2 - x**3/2 = 0. What is x?
-1, 0, 1
Solve -2*i**5/9 + 20*i**4/9 - 28*i**3/9 - 176*i**2/9 + 122*i/3 - 20 = 0 for i.
-3, 1, 5, 6
Solve 99*z**2 + 888*z - 27 = 0.
-9, 1/33
Let u**3 - 38*u**2 + 320*u + 800 = 0. What is u?
-2, 20
Determine d so that -3*d**5 + 21*d**4 - 27*d**3 - 21*d**2 + 30*d = 0.
-1, 0, 1, 2, 5
Solve -3*r**3 - 27*r**2 + 102*r - 72 = 0.
-12, 1, 2
Determine y so that 2*y**3 + 5354*y**2 + 3585840*y + 3580488 = 0.
-1338, -1
Suppose -r**3/9 + 38*r**2/9 + 13*r/3 = 0. What is r?
-1, 0, 39
Determine n, given that -3*n**2 + 2274*n - 430923 = 0.
379
Determine l so that 2*l**5/13 - 2*l**4/13 - 10*l**3/13 + 10*l**2/13 + 8*l/13 - 8/13 = 0.
-2, -1, 1, 2
Let 3*i**3 - 30*i**2 - 117*i = 0. Calculate i.
-3, 0, 13
Factor 2*t**2 - 520*t - 522.
2*(t - 261)*(t + 1)
Find r, given that -4*r**4 + 68*r**3 - 252*r**2 - 324*r = 0.
-1, 0, 9
Solve 4*s**2 - 13328*s + 11102224 = 0.
1666
Let -3*j**4/5 + 1458*j**3/5 = 0. Calculate j.
0, 486
Solve 20*b**3 - 225*b**2 + 535*b - 330 = 0.
1, 2, 33/4
Factor 290*o**4/3 + 1161*o**3/2 + 1163*o**2 + 2338*o/3 + 4.
(o + 2)**3*(580*o + 3)/6
Determine a, given that -4*a**2/5 + 23568*a/5 - 23564/5 = 0.
1, 5891
Factor i**2/4 + 45*i/2 - 91/4.
(i - 1)*(i + 91)/4
Factor -n**2/5 + 92*n/5 + 93/5.
-(n - 93)*(n + 1)/5
Factor n**2/6 + n/2 - 3.
(n - 3)*(n + 6)/6
Factor -3*a**2 - 75*a - 252.
-3*(a + 4)*(a + 21)
Solve -4*s**2/5 + 432*s - 58320 = 0.
270
What is k in 2*k**3 - 184*k**2 + 3162*k + 52020 = 0?
-10, 51
Factor -4*m**2 + 992*m - 988.
-4*(m - 247)*(m - 1)
Let 3*l**5/4 - 63*l**4/4 + 225*l**3/2 - 312*l**2 + 288*l = 0. What is l?
0, 2, 3, 8
Factor -i**4/3 + 16*i**3/3 + 41*i**2/3 - 328*i - 336.
-(i - 12)**2*(i + 1)*(i + 7)/3
Find m such that m**3/2 - 5*m**2/6 - m/3 = 0.
-1/3, 0, 2
Solve -195*g**2/2 - 77*g/2 + 12 = 0 for g.
-3/5, 8/39
Factor 3*a**3/2 - 99*a**2/2 + 93*a.
3*a*(a - 31)*(a - 2)/2
Factor 5*c**3 + 550*c**2 + 545*c.
5*c*(c + 1)*(c + 109)
Factor -2*a**4/5 - 4*a**3 + 46*a**2/5 - 24*a/5.
-2*a*(a - 1)**2*(a + 12)/5
Factor 3*m**5 - 33*m**4 + 54*m**3.
3*m**3*(m - 9)*(m - 2)
Suppose -h**3/6 - 367*h**2/6 = 0. What is h?
-367, 0
Factor -3*y**3 + 69*y**2 - 354*y + 288.
-3*(y - 16)*(y - 6)*(y - 1)
Suppose 4*z**3 + 124*z**2 + 896*z - 1024 = 0. Calculate z.
-16, 1
Factor -3*f**4/5 + 21*f**3/5 - 33*f**2/5 + 3*f.
-3*f*(f - 5)*(f - 1)**2/5
Find q such that 28*q**3 + 188*q**2 + 112*q - 48 = 0.
-6, -1, 2/7
Suppose -f**4/10 - f**3/2 + 47*f**2/10 + 21*f/2 + 27/5 = 0. What is f?
-9, -1, 6
Factor 5*f**5 + 40*f**4 + 120*f**3 + 170*f**2 + 115*f + 30.
5*(f + 1)**3*(f + 2)*(f + 3)
Let -j**4 + 3*j**3 + 19*j**2 - 87*j + 90 = 0. What is j?
-5, 2, 3
Let 3*f**4 - 27*f**3 + 33*f**2 + 63*f = 0. What is f?
-1, 0, 3, 7
Factor 5*d**3 + 85*d**2 - 3685*d + 23595.
5*(d - 11)**2*(d + 39)
Factor -3*g**3/2 + 51*g**2 - 96*g.
-3*g*(g - 32)*(g - 2)/2
Factor -g**2/5 - 39*g/5.
-g*(g + 39)/5
Factor 3*n**4 - 39*n**3 + 174*n**2 - 324*n + 216.
3*(n - 6)*(n - 3)*(n - 2)**2
Determine n, given that 2*n**4/15 + 86*n**3/15 - 466*n**2/15 + 222*n/5 - 96/5 = 0.
-48, 1, 3
Solve 3*m**4 + 294*m**3 + 261*m**2 - 2886*m + 2328 = 0.
-97, -4, 1, 2
Factor 5*c**2 - 145*c - 150.
5*(c - 30)*(c + 1)
Factor 3*a**5/2 - 9*a**4/2 - 15*a**3 - 3*a**2 + 27*a/2 + 15/2.
3*(a - 5)*(a - 1)*(a + 1)**3/2
Suppose -4*b**4/5 - 18*b**3/5 + 34*b**2/5 - 12*b/5 = 0. What is b?
-6, 0, 1/2, 1
Solve -5*q**4 + 10*q**3 + 55*q**2 - 60*q - 180 = 0.
-2, 3
Solve -2*z**2/5 + 9*z/5 - 4/5 = 0.
1/2, 4
Factor 2*y**5/7 - 6*y**4/7 - 2*y**3/7 + 22*y**2/7 - 24*y/7 + 8/7.
2*(y - 2)*(y - 1)**3*(y + 2)/7
Let 2*r**4/3 - 2*r**3/3 - 2*r**2 + 10*r/3 - 4/3 = 0. What is r?
-2, 1
Solve -65*k**4 + 45*k**3 + 20*k**2 = 0 for k.
-4/13, 0, 1
Factor -2*g**2/13 + 1444*g/13 - 260642/13.
-2*(g - 361)**2/13
Factor 7*i**2/5 - 8*i - 12/5.
(i - 6)*(7*i + 2)/5
Factor 4*n**3 + 20*n**2 + 32*n + 16.
4*(n + 1)*(n + 2)**2
Determine w, given that 81*w**5 + 1035*w**4 + 3051*w**3 + 2717*w**2 + 368*w - 252 = 0.
-9, -7/3, -1, -2/3, 2/9
Factor -3*p**2 - 573*p + 1158.
-3*(p - 2)*(p + 193)
Let i**3 - 31*i**2 - 102*i = 0. Calculate i.
-3, 0, 34
Factor d**5 + 7*d**4 + 18*d**3 + 22*d**2 + 13*d + 3.
(d + 1)**4*(d + 3)
Factor m**4 - 20*m**3 + 132*m**2 - 320*m + 256.
(m - 8)**2*(m - 2)**2
Suppose -3*a**4 - 48*a**3 - 81*a**2 + 48*a + 84 = 0. Calculate a.
-14, -2, -1, 1
Suppose 2*s**2/7 - 26248*s/7 + 86119688/7 = 0. What is s?
6562
Determine k, given that k**3/3 - 22*k**2/3 + 16*k/3 + 160 = 0.
-4, 6, 20
Find s, given that -s**3/6 - 19*s**2/6 - 11*s + 36 = 0.
-12, -9, 2
Solve v**4/2 + 8*v**3 - 17*v**2/2 = 0.
-17, 0, 1
Factor -2*j**2/19 + 614*j/19 + 616/19.
-2*(j - 308)*(j + 1)/19
Determine l, given that -4*l**4/9 - 8*l**3/9 + 44*l**2/9 + 16*l/3 - 16 = 0.
-3, 2
Factor 2*s**2 - 1182*s + 1180.
2*(s - 590)*(s - 1)
Factor 4*d**2/7 + 1784*d/7 - 1788/7.
4*(d - 1)*(d + 447)/7
Let -u**2/3 + 2392*u - 4291248 = 0. Calculate u.
3588
Factor -g**2/3 - 1600*g/3 + 1601/3.
-(g - 1)*(g + 1601)/3
Determine m, given that 62*m**5/3 - 16*m**4/3 - 62*m**3/3 + 16*m**2/3 = 0.
-1, 0, 8/31, 1
Factor -4*i**3 + 576*i**2 - 2256*i + 2240.
-4*(i - 140)*(i - 2)**2
What is h in -5*h**2 + 19060*h - 18164180 = 0?
1906
Factor -2*u**2/9 - 16*u - 288.
-2*(u + 36)**2/9
Factor 3*k**3/5 + 41*k**2/5 - 59*k/5 + 3.
(k - 1)*(k + 15)*(3*k - 1)/5
Factor 3*d**3 - 342*d**2 + 321*d + 2034.
3*(d - 113)*(d - 3)*(d + 2)
Factor x**4/4 - x**3/2 - 3*x**2/4.
x**2*(x - 3)*(x + 1)/4
What is d in d**3 - 26*d**2 + 128*d - 160 = 0?
2, 4, 20
Determine l, given that 8*l**5 - 4*l**4 - 24*l**3 + 28*l**2 - 8*l = 0.
-2, 0, 1/2, 1
Determine f, given that -127*f**2/9 + 509*f/9 - 4/9 = 0.
1/127, 4
Factor -v**3/10 - 113*v**2/5 - 1254*v + 12996/5.
-(v - 2)*(v + 114)**2/10
Let -s**2/3 + 9814*s/3 - 24078649/3 = 0. What is s?
4907
Suppose 4*q**2 + 144*q - 148 = 0. Calculate q.
-37, 1
Factor -2*w**2/3 + 848*w/9 + 568/9.
-2*(w - 142)*(3*w + 2)/9
Factor -f**5 - 2*f**4 + 48*f**3 + 130*f**2 -