Calculate i.
-55
Factor 4*q**2/7 + 724*q/7 + 3520/7.
4*(q + 5)*(q + 176)/7
Factor -3*a**2 - 21*a + 24.
-3*(a - 1)*(a + 8)
Factor -5*w**2 + 22160*w - 24553280.
-5*(w - 2216)**2
Factor 2*z**2/3 + 168*z + 10584.
2*(z + 126)**2/3
Determine i so that -14*i**5/19 + 102*i**4/19 - 154*i**3/19 - 62*i**2/19 + 168*i/19 - 40/19 = 0.
-1, 2/7, 1, 2, 5
Factor 35*f**3 - 940*f**2 + 7975*f - 20570.
5*(f - 11)**2*(7*f - 34)
Determine s so that -54*s**5/5 + 354*s**4/5 - 26*s**3 - 66*s**2 + 184*s/5 - 24/5 = 0.
-1, 2/9, 1/3, 1, 6
Factor -4*x**2 - 9756*x - 9752.
-4*(x + 1)*(x + 2438)
Factor r**2/4 - 271*r/2 - 543/4.
(r - 543)*(r + 1)/4
Factor b**2/10 + 6*b + 135/2.
(b + 15)*(b + 45)/10
Factor -4*d**2/3 - 44*d/3 + 16.
-4*(d - 1)*(d + 12)/3
Solve y**3/2 - 33*y**2 + 64*y = 0 for y.
0, 2, 64
Suppose 9*s**4 - 229*s**3/2 - 67*s**2/2 + 13*s = 0. What is s?
-1/2, 0, 2/9, 13
Solve 2*z**3/7 + 2*z**2/7 - 2*z/7 - 2/7 = 0 for z.
-1, 1
Factor a**3 - 18*a**2 + 92*a - 120.
(a - 10)*(a - 6)*(a - 2)
Factor 4*v**3 + 140*v**2 + 136*v.
4*v*(v + 1)*(v + 34)
Solve 5*s**5 - 360*s**4 + 1345*s**3 + 1110*s**2 - 6120*s = 0.
-2, 0, 3, 68
Factor l**3/4 + 11*l**2/4 - 23*l/2 - 14.
(l - 4)*(l + 1)*(l + 14)/4
Solve 3*x**2 - 714*x + 4851 = 0 for x.
7, 231
Solve -3*r**5/4 - 3*r**4/4 + 12*r**3 + 12*r**2 = 0.
-4, -1, 0, 4
Factor -8*b**3/3 - 212*b**2/3 - 1184*b/3.
-4*b*(b + 8)*(2*b + 37)/3
Factor 5*r**2 - 52220*r + 136346420.
5*(r - 5222)**2
Suppose -21*b**2/2 - 151*b/2 - 14 = 0. What is b?
-7, -4/21
Factor g**3/9 - 191*g**2/9 + 379*g/9 - 21.
(g - 189)*(g - 1)**2/9
What is z in z**4 - 50*z**3 + 793*z**2 - 4200*z + 7056 = 0?
4, 21
Determine q, given that -3*q**2 - 6408*q - 3421872 = 0.
-1068
Factor o**2/3 - 16*o/3 + 13.
(o - 13)*(o - 3)/3
Factor 6*j**3/7 - 1550*j**2/3 - 804*j/7.
2*j*(j - 603)*(9*j + 2)/21
Determine o so that 3*o**5/2 + 111*o**4 + 4323*o**3/2 + 3996*o**2 + 1944*o = 0.
-36, -1, 0
Let -2*l**2 + 8*l + 24 = 0. What is l?
-2, 6
Determine h, given that -2*h**3/11 - 20*h**2/11 = 0.
-10, 0
Suppose j**2/6 + 319*j + 305283/2 = 0. Calculate j.
-957
Factor r**4/5 - 38*r**2/5 - 72*r/5 - 7.
(r - 7)*(r + 1)**2*(r + 5)/5
Find s such that -2*s**2/9 + 158*s/9 = 0.
0, 79
Find v, given that v**2 - 16*v - 17 = 0.
-1, 17
Suppose -q**2/2 + 83*q + 855/2 = 0. What is q?
-5, 171
Solve 3*n**5 + 36*n**4/5 - 393*n**3/5 + 618*n**2/5 - 108*n/5 - 168/5 = 0 for n.
-7, -2/5, 1, 2
Find r such that r**3/5 + 46*r**2/5 - 791*r/5 + 588 = 0.
-60, 7
Find q such that -q**5 + 7*q**4 + 11*q**3 - 19*q**2 - 38*q - 16 = 0.
-1, 2, 8
Factor h**3/5 - 4*h**2/5 + h/5 + 6/5.
(h - 3)*(h - 2)*(h + 1)/5
Let 4*c**3/3 + 23*c**2/3 + 14*c/3 - 5/3 = 0. What is c?
-5, -1, 1/4
Determine d so that -5*d**5 - 6025*d**4 - 2424050*d**3 - 327236050*d**2 - 647224025*d - 322406005 = 0.
-401, -1
Factor 2*i**2 + 1678*i/3 + 372.
2*(i + 279)*(3*i + 2)/3
Factor j**3/3 + 80*j**2.
j**2*(j + 240)/3
Suppose -5*g**5 + 15*g**4 + 60*g**3 - 260*g**2 + 240*g = 0. What is g?
-4, 0, 2, 3
Let a**5/10 + 2*a**4/5 - 23*a**3/10 - a**2/5 + 38*a/5 - 28/5 = 0. What is a?
-7, -2, 1, 2
Factor -4*x**3 + 64*x**2 - 256*x.
-4*x*(x - 8)**2
Factor g**2/5 - 369*g/5.
g*(g - 369)/5
Find o, given that -2*o**2 + 40*o/9 - 8/9 = 0.
2/9, 2
Solve -n**2/3 + 1522*n/3 - 579121/3 = 0 for n.
761
Solve 2*z**4/3 + 16*z**3/3 - 290*z**2/3 + 272*z/3 = 0.
-17, 0, 1, 8
Factor -5*r**4 + 1445*r**3 - 138225*r**2 + 4281095*r + 9126730.
-5*(r - 97)**3*(r + 2)
Find i such that -7099285*i**5 + 8352100*i**4 - 3930400*i**3 + 924800*i**2 - 108800*i + 5120 = 0.
4/17
Suppose 3*m**2/7 + 1404*m/7 + 164268/7 = 0. What is m?
-234
Find h such that 3*h**4 + 93*h**3 + 90*h**2 = 0.
-30, -1, 0
Factor -5*i**2 - 33790*i - 57088205.
-5*(i + 3379)**2
Find j, given that 4*j**5 + 24*j**4 + 56*j**3 + 64*j**2 + 36*j + 8 = 0.
-2, -1
Find o, given that -5*o**4 - 290*o**3 - 1605*o**2 - 2360*o - 1040 = 0.
-52, -4, -1
Suppose -r**5/4 - 3*r**4/2 - r**3 + 3*r**2/2 + 5*r/4 = 0. What is r?
-5, -1, 0, 1
Suppose -4*w**2 - 376*w + 768 = 0. What is w?
-96, 2
What is i in -464*i**2 - 36*i = 0?
-9/116, 0
Suppose -3*s**3 + 288*s**2 + 585*s + 294 = 0. What is s?
-1, 98
Let 3*g**5/2 - 54*g**4 + 489*g**3/2 + 1674*g**2 + 1914*g = 0. What is g?
-2, 0, 11, 29
What is c in 4*c**4/11 - 43*c**3/11 - 64*c**2/11 + 43*c/11 + 60/11 = 0?
-5/4, -1, 1, 12
Find j, given that 4*j**5 + 36*j**4 - 8*j**3 - 72*j**2 + 4*j + 36 = 0.
-9, -1, 1
Factor 21*k**2/4 - 3*k/4 - 45/2.
3*(k + 2)*(7*k - 15)/4
Factor -2*m**3/3 - 2*m**2/9 + 16*m/9 - 8/9.
-2*(m - 1)*(m + 2)*(3*m - 2)/9
Determine i so that -5*i**2 - 325*i = 0.
-65, 0
Factor 4*v**2 - 4*v - 48.
4*(v - 4)*(v + 3)
Factor -4*i**4 - 700*i**3 + 1412*i**2 - 708*i.
-4*i*(i - 1)**2*(i + 177)
Determine q, given that 2*q**5/5 - 58*q**4/5 - 324*q**3/5 - 536*q**2/5 - 272*q/5 = 0.
-2, -1, 0, 34
Factor 2*t**5/13 - 62*t**4 - 3244*t**3/13 - 4876*t**2/13 - 3254*t/13 - 814/13.
2*(t - 407)*(t + 1)**4/13
Factor -k**3/2 - k**2 + 35*k/2.
-k*(k - 5)*(k + 7)/2
Determine l, given that 3*l**4 + 30*l**3 + 99*l**2 + 120*l + 48 = 0.
-4, -1
What is r in 2*r**4 + 44*r**3 + 78*r**2 - 44*r - 80 = 0?
-20, -2, -1, 1
Factor 3*i**2/5 + 30762*i/5 + 78858387/5.
3*(i + 5127)**2/5
Determine r so that -r**3 - 89*r**2 - 2024*r - 1936 = 0.
-44, -1
Suppose m**2/4 + m/4 - 3/2 = 0. Calculate m.
-3, 2
What is h in 2*h**2 + 37*h + 51 = 0?
-17, -3/2
Find q such that 5*q**5 - 180*q**4 - 995*q**3 - 1250*q**2 + 780*q + 1640 = 0.
-2, 1, 41
Suppose -x**2/2 + 21*x/2 = 0. What is x?
0, 21
Factor -s**3 + s**2 + 2*s.
-s*(s - 2)*(s + 1)
Solve -2*s**4/3 + 8*s**3/3 + 2*s**2/3 - 32*s/3 + 8 = 0 for s.
-2, 1, 2, 3
Solve -5*v**3 - 395*v**2 + 1230*v = 0.
-82, 0, 3
Suppose -4*t**3/3 + 32*t**2/3 - 68*t/3 + 40/3 = 0. Calculate t.
1, 2, 5
Let -5*v**3 - 35*v**2 + 85*v - 45 = 0. What is v?
-9, 1
Factor 3*i**3 - 2718*i**2 - 3*i + 2718.
3*(i - 906)*(i - 1)*(i + 1)
Factor -3*r**3/2 + 51*r**2.
-3*r**2*(r - 34)/2
Determine n so that 35*n**2 + 10*n = 0.
-2/7, 0
Find j, given that j**3/4 - 1137*j**2/2 + 430923*j - 108879878 = 0.
758
Let 4*q**2 + 184*q + 672 = 0. Calculate q.
-42, -4
Factor 4*q**3 + 68*q**2 - 232*q + 160.
4*(q - 2)*(q - 1)*(q + 20)
Factor 2*h**3/9 - 8468*h**2/9 - 2*h/9 + 8468/9.
2*(h - 4234)*(h - 1)*(h + 1)/9
Let -k**3/3 - 49*k**2/3 + 101*k/3 - 17 = 0. Calculate k.
-51, 1
Factor p**4 + 41*p**3 - 223*p**2 + 319*p - 138.
(p - 3)*(p - 1)**2*(p + 46)
Factor 3*x**2/7 + 474*x/7 + 18723/7.
3*(x + 79)**2/7
Determine g, given that -54*g**5 - 402*g**4 - 2132*g**3/3 - 776*g**2/3 - 80*g/3 = 0.
-5, -2, -2/9, 0
Factor 4*c**4 - 76*c**3 + 72*c**2.
4*c**2*(c - 18)*(c - 1)
Determine p, given that -80*p**5/3 + 556*p**4/3 - 352*p**3/3 - 124*p**2/3 = 0.
-1/4, 0, 1, 31/5
Factor j**3 - 213*j**2 - 2205*j - 5575.
(j - 223)*(j + 5)**2
Factor 2*s**4/7 + 32*s**3 + 6044*s**2/7 - 1824*s + 6498/7.
2*(s - 1)**2*(s + 57)**2/7
Factor 245*j**3/3 - 210*j**2 + 100*j - 40/3.
5*(j - 2)*(7*j - 2)**2/3
What is a in 2*a**3/11 + 7500*a**2/11 + 7031250*a/11 = 0?
-1875, 0
Find p, given that 82*p**2/9 + 332*p/3 + 16 = 0.
-12, -6/41
Solve a**3/3 - 49*a**2/3 + 575*a/3 + 625/3 = 0.
-1, 25
What is w in -w**2 + 44*w - 403 = 0?
13, 31
Let -3*h**5 + 9*h**4/2 - 3*h**2/2 = 0. Calculate h.
-1/2, 0, 1
Factor 4*m**4 + 360*m**3 + 352*m**2 - 360*m - 356.
4*(m - 1)*(m + 1)**2*(m + 89)
What is d in -2*d**2 + 208*d - 408 = 0?
2, 102
Solve -4*q**5/5 - 12*q**4/5 + 28*q**3/5 + 12*q**2 - 72*q/5 = 0 for q.
-3, 0, 1, 2
Determine t, given that -t**4/7 + 10*t**3/7 + t**2/7 - 10*t/7 = 0.
-1, 0, 1, 10
Factor -4*k**2 - 128*k + 132.
-4*(k - 1)*(k + 33)
Let 8*d**4/3 + 14*d**3/3 - 4*d**2 - 14*d/3 + 4/3 = 0. What is d?
-2, -1, 1/4, 1
Factor -3*z**2 + 2583*z - 5154.
-3*(z - 859)*(z - 2)
Factor 4*c**2 - 8*c - 140.
4*(c - 7)*(c + 5)
Factor -2*t**3/9 - 56*t**2/3 - 106*t - 156.
-2*(t + 3)**2*(t + 78)/9
Find d such that 5*d**4/3 - 25*d**3/3 - 1390*d**2/3 + 3200*d + 8160 = 0.
-17, -2, 12
Find q, given that -6*q**5 + 82*q**4 - 112*q**3 - 104*q**2 + 96*q = 0.
-1, 0, 2/3, 2, 12
Factor 4*q**2 - 408*q + 5504.
4*(q - 86)*(q - 16)
Solve -2*m**5 - 102*m**4 - 196*m**3 + 4*m**2 + 198*m + 98 = 0 for m.
-49, -1, 1
Find s, given that 2*s**2 + 106*s = 0.
-53, 0
Factor -2*c**3 - 40*c**2 - 200*c.
-2*c*(c + 10)**2
Suppose 2*s**3/9 - 188*s**2/9 + 1846*s/3 - 5408 = 0. What is s?
16, 39
Factor -2*o**4 - 52*o**3 + 110*o**2 - 56*o.
-2*o*(o - 1)**2*(o + 28)
Factor -2*c**2/5 - 48*c/5.
-2*c*(c +