 138
Solve 2*r**3/3 - 74*r**2 + 3196*r/3 + 9200 = 0 for r.
-6, 25, 92
Solve 5*d**3 - 695*d**2 + 3350*d = 0 for d.
0, 5, 134
Factor -2*c**3 + 478*c**2 - 950*c + 474.
-2*(c - 237)*(c - 1)**2
Find s, given that 4*s**4/7 + 568980*s**3/7 + 20233924512*s**2/7 + 20233355536*s/7 = 0.
-71122, -1, 0
Determine d so that 120*d**4/7 - 16556*d**3/7 - 564*d**2/7 + 1656*d/7 = 0.
-1/3, 0, 3/10, 138
Suppose 3*j**2/5 + 1644882*j/5 + 225469732827/5 = 0. Calculate j.
-274147
Factor -4*g**3 + 48812*g**2 - 149083904*g + 1041196912.
-4*(g - 6098)**2*(g - 7)
Factor 125*v**3 + 1200*v**2 - 223095*v - 4443830.
5*(v - 46)*(5*v + 139)**2
Suppose -5*p**5/3 - 1235*p**4/3 - 96730*p**3/3 - 2294560*p**2/3 + 996000*p + 4800000 = 0. What is p?
-100, -48, -2, 3
Factor 2*v**3 - 12376*v**2 + 86554*v - 123620.
2*(v - 6181)*(v - 5)*(v - 2)
Let 2*f**3/7 - 944*f**2/7 - 9640*f/7 = 0. What is f?
-10, 0, 482
Suppose -6*p**4/5 - 32*p**3 + 18*p**2/5 + 3132*p/5 - 208 = 0. Calculate p.
-26, -5, 1/3, 4
Factor -2*j**3/3 - 298*j**2/3 - 590*j/3 - 98.
-2*(j + 1)**2*(j + 147)/3
Factor -2*k**3/11 - 24714*k**2/11.
-2*k**2*(k + 12357)/11
Solve 3*h**4/5 + 171*h**3 + 79704*h**2/5 + 2440812*h/5 = 0 for h.
-121, -82, 0
Factor -3*r**2 - 103014*r - 884323683.
-3*(r + 17169)**2
Solve 1444*g**3 + 1984968*g**2 + 1253232*g + 197856 = 0 for g.
-1374, -6/19
Solve 4*s**2/7 - 27492*s/7 + 247104/7 = 0.
9, 6864
Find z, given that z**2/2 + 132883*z + 17657891689/2 = 0.
-132883
Determine k so that 6*k**5/5 + 22894*k**4/5 + 3669098*k**3/5 + 149628258*k**2/5 - 52740856*k/5 - 20115880 = 0.
-3650, -83, -2/3, 1
Factor 340*t**3 + 2055*t**2 - 2290*t - 105.
5*(t - 1)*(t + 7)*(68*t + 3)
Factor f**4/4 + 45*f**3/4 + 43*f**2/2.
f**2*(f + 2)*(f + 43)/4
Factor 5*x**2 - 15905*x - 159550.
5*(x - 3191)*(x + 10)
Find l, given that 4*l**3 + 3356*l**2 + 580796*l + 28622500 = 0.
-625, -107
What is n in -20*n**5 + 368*n**4 - 1044*n**3 + 360*n**2 = 0?
0, 2/5, 3, 15
Factor 5*b**3/3 + 430*b**2 + 6355*b/3 + 2530.
5*(b + 2)*(b + 3)*(b + 253)/3
Suppose 2*m**5 - 3070*m**4 + 1388462*m**3 - 153411226*m**2 - 1388464*m + 153414296 = 0. What is m?
-1, 1, 163, 686
Factor 2*f**2/7 - 65706*f/7 - 131420/7.
2*(f - 32855)*(f + 2)/7
Determine m so that -m**5 - 12*m**4 - 28*m**3 - 6*m**2 + 29*m + 18 = 0.
-9, -2, -1, 1
What is b in -3*b**5 - 888*b**4 - 15411*b**3 + 105138*b**2 + 119664*b = 0?
-277, -24, -1, 0, 6
Factor -5*i**4 - 135*i**3 + 150*i**2 + 280*i.
-5*i*(i - 2)*(i + 1)*(i + 28)
Factor -2*t**2/13 + 144112*t/13 - 2596033568/13.
-2*(t - 36028)**2/13
Factor 908*c**3 + 7180*c**2 + 13856*c - 1344.
4*(c + 4)**2*(227*c - 21)
Factor 85*f**2/2 + 210*f + 160.
5*(f + 4)*(17*f + 16)/2
What is r in 24*r**5 + 1371*r**4 - 2637*r**3 + 1065*r**2 + 177*r = 0?
-59, -1/8, 0, 1
Determine d so that 5*d**5 + 165*d**4 + 270*d**3 - 1240*d**2 = 0.
-31, -4, 0, 2
Factor 2*v**2/3 + 8714*v/3 + 2904.
2*(v + 1)*(v + 4356)/3
Let -2*n**4/9 + 196*n**3/9 - 5944*n**2/9 + 59708*n/9 - 17986/3 = 0. Calculate n.
1, 23, 51
Let -p**2/3 + 11725*p/3 - 23446/3 = 0. Calculate p.
2, 11723
Factor 5*s**3 - 16670*s**2 + 13692245*s + 338284920.
5*(s - 1679)**2*(s + 24)
Find b such that 2*b**4 + 3880*b**3 + 2261000*b**2 + 346800000*b = 0.
-850, -240, 0
Solve 7*l**4/6 + 4127*l**3/6 + 6124*l**2 + 48824*l/3 + 32512/3 = 0.
-4064/7, -4, -1
Factor d**2 + 155*d + 4284.
(d + 36)*(d + 119)
Find x such that -x**2/8 - 23945*x/4 - 23943 = 0.
-47886, -4
Factor -3*f**3 + 564*f**2 + 11925*f - 26082.
-3*(f - 207)*(f - 2)*(f + 21)
Find r such that -80*r**3 - 177045*r**2 + 1232135*r + 77700 = 0.
-2220, -1/16, 7
Factor -30*b**2 + 277165*b - 230950.
-5*(b - 9238)*(6*b - 5)
Factor -2*k**4 - 52*k**3 - 498*k**2 - 2080*k - 3200.
-2*(k + 5)**2*(k + 8)**2
Factor -s**2/6 + 1697*s/3 + 82460.
-(s - 3534)*(s + 140)/6
Factor 2*g**2 - 1465140*g + 268329402450.
2*(g - 366285)**2
Determine h, given that 2*h**2 - 1284*h + 152290 = 0.
157, 485
Factor -3*w**3 + 10491*w**2 - 104538*w - 251064.
-3*(w - 3487)*(w - 12)*(w + 2)
Factor q**2 + 208*q - 1953.
(q - 9)*(q + 217)
Factor 4*u**3/9 - 1248*u**2 + 2690780*u/3 - 261632584/9.
4*(u - 1387)**2*(u - 34)/9
Suppose 2*i**3/19 + 286*i**2/19 = 0. What is i?
-143, 0
Find x such that 2*x**5 - 6*x**4 - 810*x**3 + 4006*x**2 - 3192*x = 0.
-21, 0, 1, 4, 19
Determine j, given that 2*j**5/15 - 22*j**4/5 - 1234*j**3/15 + 4126*j**2 - 474904*j/15 - 80408 = 0.
-30, -2, 19, 23
Factor 35*t**2 + 245435*t + 105180.
5*(t + 7012)*(7*t + 3)
Factor -3*l**4/8 + 99*l**3/4 - 2067*l**2/8.
-3*l**2*(l - 53)*(l - 13)/8
Let -8*k**3/3 - 407*k**2 - 806*k - 1205/3 = 0. What is k?
-1205/8, -1
Let -5*h**3/4 - 85*h**2/4 + 3280*h + 3300 = 0. What is h?
-60, -1, 44
Find z, given that -182328*z**2 + 210*z + 3 = 0.
-1/284, 1/214
Factor 2*u**3/7 - 36*u**2/7 - 258*u + 1840/7.
2*(u - 40)*(u - 1)*(u + 23)/7
Find l such that 5*l**3/2 + 89*l**2/4 - 16209*l/4 + 405 = 0.
-45, 1/10, 36
Factor 3*x**3 - 2064*x**2 + 472860*x - 36075888.
3*(x - 244)*(x - 222)**2
Let 22*j**4/13 - 91252*j**3/13 - 1278*j**2 + 91252*j/13 + 16592/13 = 0. Calculate j.
-1, -2/11, 1, 4148
Let 10*d**5/3 + 658*d**4 + 29326*d**3 - 994094*d**2/3 - 1410276*d - 509232 = 0. Calculate d.
-103, -3, -2/5, 12
Let -k**3 - 1654*k**2 - 8251*k - 9894 = 0. Calculate k.
-1649, -3, -2
Factor 1294*n**2 - 7858*n + 564.
2*(n - 6)*(647*n - 47)
Factor -2*k**2/7 - 4770*k/7 - 9532/7.
-2*(k + 2)*(k + 2383)/7
Factor k**4 - 968*k**3 + 195591*k**2 + 19394960*k + 19198400.
(k - 520)**2*(k + 1)*(k + 71)
Let 3*s**5/7 + 3057*s**4/7 + 110154*s**3 - 560856*s**2 + 1597440*s/7 + 6291456/7 = 0. What is s?
-512, -1, 2, 4
Factor -2*i**2 - 834*i - 21060.
-2*(i + 27)*(i + 390)
Factor 3*b**4 + 6345*b**3 + 3370725*b**2 + 16695375*b.
3*b*(b + 5)*(b + 1055)**2
Determine c, given that -5*c**2 - 325*c + 4620 = 0.
-77, 12
Factor u**3/4 - 785*u**2/4 - 1573*u/4 - 787/4.
(u - 787)*(u + 1)**2/4
Factor -i**4/2 + 371*i**3/2 - 550*i**2 - 736*i.
-i*(i - 368)*(i - 4)*(i + 1)/2
Suppose -6050*a**4 - 109340*a**3 + 373222*a**2 + 27576*a + 504 = 0. Calculate a.
-21, -2/55, 3
Factor 2*z**3/9 - 74*z**2/9 - 7648*z/9 - 22360/3.
2*(z - 86)*(z + 10)*(z + 39)/9
Factor 2*n**4/3 - 11938*n**3 + 53437472*n**2 + 160348232*n/3.
2*n*(n - 8954)**2*(n + 1)/3
Factor -5*g**3 - 1749*g**2 + 9225*g - 1775.
-(g - 5)*(g + 355)*(5*g - 1)
Suppose k**3 - 57*k**2 + 251*k + 2805 = 0. Calculate k.
-5, 11, 51
Factor 6*t**3/11 - 84*t**2/11 - 1278*t + 30888.
6*(t - 33)**2*(t + 52)/11
Solve 5*s**2/6 + 20825*s/3 = 0.
-8330, 0
Suppose -5*b**2/2 + 510*b - 2000 = 0. What is b?
4, 200
Determine m so that -12*m**3 + 82200*m**2 - 140314311*m - 1553419593 = 0.
-11, 6861/2
Let 4*u**5 + 900*u**4 + 13428*u**3 - 146900*u**2 + 420024*u - 374400 = 0. What is u?
-208, -25, 2, 3
Solve -7*v**5 + 870*v**4 + 2447*v**3 - 4326*v**2 + 1016*v = 0.
-4, 0, 2/7, 1, 127
Factor 5*u**4 + 870*u**3 + 6475*u**2 - 27390*u.
5*u*(u - 3)*(u + 11)*(u + 166)
Factor u**2/6 - 89*u - 3787/6.
(u - 541)*(u + 7)/6
Factor 4*l**2 - 32468*l + 32464.
4*(l - 8116)*(l - 1)
Find y such that -5*y**3 - 50*y**2 + 1755*y + 1800 = 0.
-24, -1, 15
Let 2*i**4 - 27408*i**3 - 54824*i**2 = 0. Calculate i.
-2, 0, 13706
What is s in -10*s**5/13 + 63434*s**4/13 - 88782*s**3/13 - 38066*s**2/13 + 88792*s/13 - 25368/13 = 0?
-1, 2/5, 1, 6342
Solve -15*w**4/4 + 89*w**3/2 + 219*w**2/4 + 13*w/2 = 0.
-1, -2/15, 0, 13
Find n, given that -318*n**5 - 3404*n**4 + 38456*n**3 - 62992*n**2 - 63488*n - 2304 = 0.
-18, -2/3, -2/53, 4
Determine a, given that 3*a**5/7 - 2097*a**4/7 + 2094*a**3/7 = 0.
0, 1, 698
Determine o, given that 289*o**4 + 4505*o**3 - 8067*o**2 - 17545*o + 28594 = 0.
-17, -2, 29/17
Suppose 3*v**3/4 + 180*v**2 - 53823*v/4 + 13275 = 0. Calculate v.
-300, 1, 59
Determine a so that -60*a**3 - 1628*a**2 + 7224*a + 992 = 0.
-31, -2/15, 4
Solve -2*v**5/17 - 3792*v**4/17 + 4*v**3/17 + 7584*v**2/17 - 2*v/17 - 3792/17 = 0.
-1896, -1, 1
Factor -2*w**3 - 104426*w**2 - 208844*w.
-2*w*(w + 2)*(w + 52211)
Suppose 2*o**5/13 + 214*o**4/13 + 7716*o**3/13 + 98560*o**2/13 + 167936*o/13 = 0. Calculate o.
-41, -32, -2, 0
Solve -9*r**3/5 + 822*r**2 - 6819*r/5 - 546 = 0 for r.
-1/3, 2, 455
Factor -5*t**2 - 37315*t - 74610.
-5*(t + 2)*(t + 7461)
Factor -5*f**2/2 - 10650*f + 63945/2.
-5*(f - 3)*(f + 4263)/2
Find a, given that -2*a**3 + 2*a**2 + 1168*a + 3432 = 0.
-22, -3, 26
Solve 4*l**3 + 448*l**2 + 1708*l - 2160 = 0 for l.
-108, -5, 1
Find m such that