17
Let 84*i**3/11 - 1754*i**2/11 - 4050*i/11 - 92 = 0. Calculate i.
-11/6, -2/7, 23
Factor -4*y**2/3 + 8936*y/9 + 11936/9.
-4*(y - 746)*(3*y + 4)/9
Solve -20*g**4 - 624*g**3 - 6024*g**2 - 17680*g - 3300 = 0.
-15, -11, -5, -1/5
Factor 5*g**2 + 26230*g + 104840.
5*(g + 4)*(g + 5242)
Factor 3*h**2/5 + 3969*h/5 - 122892.
3*(h - 140)*(h + 1463)/5
Solve -6*f**3 - 688*f**2/3 - 5192*f/3 - 1120/3 = 0.
-28, -10, -2/9
Factor 16*r**3 - 17894*r**2 + 6708*r.
2*r*(r - 1118)*(8*r - 3)
Determine q, given that -35*q**3 - 5655*q**2 + 19755*q - 7425 = 0.
-165, 3/7, 3
Determine n so that -4*n**2 + 6108*n = 0.
0, 1527
Factor 5*p**2 - 878510*p + 2635485.
5*(p - 175699)*(p - 3)
Factor 2*v**4 + 740*v**3 + 3666*v**2 + 5848*v + 2920.
2*(v + 1)*(v + 2)**2*(v + 365)
Let -25*k**5/2 - 1935*k**4/2 - 32755*k**3/2 - 106965*k**2/2 + 16390*k + 54450 = 0. Calculate k.
-55, -18, -22/5, -1, 1
What is p in 3*p**4 - 87*p**3 - 1521*p**2 + 1767*p + 3198 = 0?
-13, -1, 2, 41
Let -2*c**4/9 + 302*c**3/9 - 1732*c**2 + 309568*c/9 - 1818880/9 = 0. What is c?
10, 29, 56
Factor -5*d**2 + 1210*d - 10485.
-5*(d - 233)*(d - 9)
Solve 2*x**5/3 - 20*x**4/3 - 340*x**3/3 + 4120*x**2/3 - 8302*x/3 - 12740/3 = 0 for x.
-14, -1, 5, 7, 13
Factor -o**3/9 + 556*o**2/9 - 736*o/3.
-o*(o - 552)*(o - 4)/9
Factor 2250*s**2/7 - 2242*s/7 - 8/7.
2*(s - 1)*(1125*s + 4)/7
Determine g, given that -g**5 - 7557*g**4 - 14333538*g**3 - 213057746*g**2 + 469146339*g - 241747497 = 0.
-3771, -17, 1
Factor t**2 + 890*t + 61125.
(t + 75)*(t + 815)
Let -3*x**4/4 - 21*x**3/2 - 63*x**2/4 + 27*x = 0. Calculate x.
-12, -3, 0, 1
Factor -3*d**2/7 + 47394*d/7 + 6771.
-3*(d - 15799)*(d + 1)/7
Find k such that -256*k**5 - 289856*k**4 + 12861968*k**3 + 3251716*k**2 - 803872*k - 202100 = 0.
-1175, -1/4, 1/4, 43
Let 2*j**2/9 + 184*j/9 + 40 = 0. What is j?
-90, -2
Factor -6*y**2 + 6169822*y + 2056608.
-2*(y - 1028304)*(3*y + 1)
Factor y**2 - 231*y + 1350.
(y - 225)*(y - 6)
Factor 3*g**4 + 14520*g**3 + 17569200*g**2.
3*g**2*(g + 2420)**2
Factor 27*i**2 + 357532*i/3 - 8828/3.
(i + 4414)*(81*i - 2)/3
Suppose 1755*a**5 + 52655*a**4 + 449430*a**3 + 959510*a**2 - 1459185*a - 4165 = 0. What is a?
-17, -7, -1/351, 1
Let 1030*l**4 - 5156*l**3 - 8210*l**2 + 12408*l - 72 = 0. Calculate l.
-2, 3/515, 1, 6
Solve -2*u**2/3 - 62828*u/3 - 493419698/3 = 0.
-15707
Factor q**4/6 + 59*q**3/6 - 254*q**2 - 546*q.
q*(q - 21)*(q + 2)*(q + 78)/6
Let -j**2/11 - 2181*j/11 + 61852/11 = 0. Calculate j.
-2209, 28
Determine w so that -55*w**4 - 2450*w**3 - 4295*w**2 + 16160*w - 9360 = 0.
-468/11, -4, 1
Factor -3*f**2/2 - 2205*f/2 + 5550.
-3*(f - 5)*(f + 740)/2
Determine i so that 35*i**5 - 521025*i**4 + 1939161970*i**3 - 830452710*i**2 - 1939162005*i + 830973735 = 0.
-1, 3/7, 1, 7443
Solve -d**2 - 238*d + 9864 = 0.
-274, 36
Factor g**4/3 - 63*g**3 + 248*g**2 - 740*g/3.
g*(g - 185)*(g - 2)**2/3
Determine h, given that h**3/4 + 6559*h**2/4 + 2687960*h - 2689600 = 0.
-3280, 1
Factor 2*y**2/5 - 668*y/5 - 2022/5.
2*(y - 337)*(y + 3)/5
Find x such that -3*x**4 + 117*x**3 + 19869*x**2 + 151083*x + 131334 = 0.
-59, -7, -1, 106
Solve -2*f**2 + 264*f + 55370 = 0 for f.
-113, 245
Let -8*i**3/3 + 110*i**2/3 + 436*i/3 + 34 = 0. What is i?
-3, -1/4, 17
Suppose 16*z**5/5 + 414*z**4/5 + 1454*z**3/5 + 2038*z**2/5 + 258*z + 308/5 = 0. What is z?
-22, -1, -7/8
Factor 21*w**3 - 7317*w**2 + 673803*w - 6254859.
3*(w - 169)**2*(7*w - 73)
Let -4*t**4/7 + 804*t**3/7 - 13304*t**2/7 + 23424*t/7 = 0. What is t?
0, 2, 16, 183
Factor t**5/3 - t**4 - 31*t**3/3 + t**2 + 42*t.
t*(t - 7)*(t - 2)*(t + 3)**2/3
Solve -2*i**5/19 - 12*i**4/19 + 274*i**3/19 + 612*i**2/19 - 1352*i/19 - 1680/19 = 0 for i.
-14, -3, -1, 2, 10
Factor 5*o**2 - 73390*o + 269304605.
5*(o - 7339)**2
Factor -b**3/3 - 770*b**2/3 + 1811*b - 1554.
-(b - 6)*(b - 1)*(b + 777)/3
Suppose 2*m**2/5 - 4936*m/5 = 0. Calculate m.
0, 2468
Determine y so that -12*y**4 - 6088*y**3 - 738624*y**2 + 8609160*y + 2951564 = 0.
-259, -1/3, 11
Let 55*m**2 + 5240*m + 38400 = 0. What is m?
-960/11, -8
Factor -y**2/7 + 1077*y/7 - 37476/7.
-(y - 1041)*(y - 36)/7
Suppose 2*q**5/3 - 1848*q**4 - 11110*q**3/3 + 12948*q**2 - 22192*q/3 = 0. What is q?
-4, 0, 1, 2774
Factor -4*f**3 + 32832*f**2 + 32836*f.
-4*f*(f - 8209)*(f + 1)
Factor 75*v**3/2 - 48870*v**2 + 15921846*v.
3*v*(5*v - 3258)**2/2
What is b in 4*b**5 + 5764*b**4 + 2085112*b**3 + 6220792*b**2 + 6209284*b + 2067844 = 0?
-719, -1
Find p such that 2*p**3/3 - 12328*p**2/3 - 8*p/3 + 49312/3 = 0.
-2, 2, 6164
Suppose -3*l**4/4 + 2283*l**3 - 1741920*l**2 + 6931200*l = 0. What is l?
0, 4, 1520
Let 51*u**3/7 - 361*u**2/7 - 380*u/7 + 32/7 = 0. Calculate u.
-1, 4/51, 8
Factor -18*m**3/7 - 108588*m**2 + 1013512*m/7 - 337840/7.
-2*(m + 42230)*(3*m - 2)**2/7
Suppose 2*b**5/9 - 2470*b**4/9 - 826*b**3/3 + 7406*b**2/9 + 12356*b/9 + 1648/3 = 0. Calculate b.
-1, 2, 1236
Let -3255*r**5/2 + 4701*r**4/2 + 14757*r**3/2 + 2607*r**2/2 - 1989*r + 108 = 0. What is r?
-1, 2/35, 12/31, 3
Determine y so that -y**5/4 - 49*y**4 - 10889*y**3/4 - 63463*y**2/2 - 127491*y - 149058 = 0.
-91, -6, -2
Factor -k**2/3 - 38488*k - 1110994608.
-(k + 57732)**2/3
Factor -24*h**2 - 1771*h + 370.
-(h + 74)*(24*h - 5)
Determine h, given that -2*h**4 + 334*h**3 - 984*h**2 = 0.
0, 3, 164
Factor -b**5/5 - 222*b**4 - 288577*b**3/5 + 2158728*b**2 - 94556176*b/5.
-b*(b - 17)**2*(b + 572)**2/5
Let 4*v**5 - 84*v**4 + 204*v**3 + 1252*v**2 - 1488*v - 2448 = 0. Calculate v.
-3, -1, 2, 6, 17
Suppose -2*l**5/5 - 3038*l**4/5 + 15228*l**3/5 - 18296*l**2/5 - 12176*l/5 + 24384/5 = 0. What is l?
-1524, -1, 2
What is t in 4*t**3 - 74138*t**2 - 37072*t + 37070 = 0?
-1, 1/2, 18535
Find u, given that 3*u**3 + 4146*u**2 - 341877*u - 346020 = 0.
-1460, -1, 79
Factor -o**3 - 169*o**2 - 1295*o - 1127.
-(o + 1)*(o + 7)*(o + 161)
Determine h, given that -h**3/3 + 199*h**2 + 399*h + 599/3 = 0.
-1, 599
Factor -2*c**2/17 - 3112*c/17 + 449274/17.
-2*(c - 133)*(c + 1689)/17
Factor -4*m**4 + 10816*m**3 + 21644*m**2 + 10824*m.
-4*m*(m - 2706)*(m + 1)**2
Factor -2*o**2/11 + 156*o/11 - 3040/11.
-2*(o - 40)*(o - 38)/11
Find d, given that 4*d**3 - 1320*d**2 + 12900*d - 32000 = 0.
5, 320
Determine k, given that k**3 - 3238*k**2 - 4*k + 12952 = 0.
-2, 2, 3238
Let 5*a**4 - 7275*a**3 + 444465*a**2 + 910775*a + 459030 = 0. Calculate a.
-1, 66, 1391
Let 10*d**4/3 + 1612*d**3 + 184528*d**2 - 7602688*d/3 + 984064 = 0. Calculate d.
-248, 2/5, 12
Solve -m**2/2 + 1617201*m - 2615339074401/2 = 0.
1617201
Factor -5*a**3 - 540*a**2 - 13315*a - 12780.
-5*(a + 1)*(a + 36)*(a + 71)
Find u such that -4*u**5 + 56*u**4 - 176*u**3 + 160*u**2 = 0.
0, 2, 10
Factor c**3/4 - 23*c**2/4 - 13*c/2 + 12.
(c - 24)*(c - 1)*(c + 2)/4
Factor r**4 - 202*r**3 - 2308*r**2 - 7430*r - 5325.
(r - 213)*(r + 1)*(r + 5)**2
What is a in -2*a**2/5 - 12328*a/5 - 12326/5 = 0?
-6163, -1
Factor -2*m**3/23 - 3880*m**2/23 - 1157216*m/23 - 94432128/23.
-2*(m + 172)**2*(m + 1596)/23
Factor -3*m**5/7 - 15*m**4/7 + 90*m**3/7 - 150*m**2/7 + 15*m - 27/7.
-3*(m - 1)**4*(m + 9)/7
Factor -142*u**2/17 + 1658*u/17 - 1056/17.
-2*(u - 11)*(71*u - 48)/17
Solve 8*z**3/5 + 618*z**2/5 + 762*z/5 + 152/5 = 0 for z.
-76, -1, -1/4
Find n such that 10*n**3 + 114*n**2 - 118522*n + 71070 = 0.
-115, 3/5, 103
Factor 36*b**2 + 16480*b - 3664.
4*(b + 458)*(9*b - 2)
What is y in -2*y**2/13 + 632*y/13 - 14016/13 = 0?
24, 292
Factor -w**2/4 - 2089*w/4 - 10345.
-(w + 20)*(w + 2069)/4
Let -3*f**3/8 + 27189*f**2/8 - 40773*f/4 + 6795 = 0. What is f?
1, 2, 9060
Factor l**3 + 2468*l**2 + 561741*l + 33616638.
(l + 123)**2*(l + 2222)
Determine g so that -14*g**4/5 - 78*g**3 + 266*g**2 - 210*g + 124/5 = 0.
-31, 1/7, 1, 2
Find q such that 2*q**5/15 + 3328*q**4/15 + 1328*q**3 + 39812*q**2/15 + 33166*q/15 + 3316/5 = 0.
-1658, -3, -1
Factor -5*f**2/3 + 1526770*f/3 - 116551331645/3.
-5*(f - 152677)**2/3
Factor -5*z**3 + 1850*z**2 - 169260*z - 345960.
-5*(z - 186)**2*(z + 2)
Factor 3*r**2 - 44514*r + 165124683.
3*(r - 7419)**2
Solve -t**4/2 + 4405*t**3 - 8809*t**2/2 = 0 for t.
0, 1, 8809
Determine m, given that 5*m**3 + 5825*m**2 + 1658035*m - 22549865 = 0.
-589, 13
Solve -a**4/4 + 43*a**3/2 - 21*a**2 - 43*a/2 + 85/4 = 0 for a.
-1, 1, 85
Let 4*x**2/5 + 999*x/5 + 1736/5 = 0. Calculate x.
-248, -7/4
Factor 4*v**2/3 + 236*v/3.
4*v*(v + 59)/3
What is b in 18*b**5 + 12810*b**4 + 232370*b**3 - 