8969)
Solve 3*p**2 - 1113*p + 10830 = 0.
10, 361
Determine n so that n**5/7 - 5*n**4/7 - 22*n**3/7 + 8*n**2 = 0.
-4, 0, 2, 7
Factor j**3 + 486*j**2 + 16683*j + 31430.
(j + 2)*(j + 35)*(j + 449)
Find w, given that 4*w**3 - 784*w - 3840 = 0.
-10, -6, 16
Factor -2*j**3 + 118*j**2 - 1820*j + 7104.
-2*(j - 37)*(j - 16)*(j - 6)
Suppose 2*b**3/13 + 27102*b**2/13 + 91801248*b/13 - 91828352/13 = 0. What is b?
-6776, 1
Solve 36*f**5 - 7388*f**4 + 22664*f**3 + 156176*f**2 - 210272*f + 38784 = 0 for f.
-4, 2/9, 1, 6, 202
What is q in 5*q**4 + 755*q**3 - 5*q**2 - 755*q = 0?
-151, -1, 0, 1
Factor -3*u**2 + 30654*u - 581343.
-3*(u - 10199)*(u - 19)
Find q, given that -q**2/2 + q/2 + 28 = 0.
-7, 8
Determine l so that -2*l**3 - 1158*l**2 + 24048*l + 52712 = 0.
-599, -2, 22
Find d such that 75*d**5 - 22260*d**4 - 359328*d**3 + 1140528*d**2 - 734256*d + 134784 = 0.
-18, 2/5, 2, 312
Solve -2*c**3/9 + 1948*c**2/9 - 468440*c/9 - 960400/3 = 0 for c.
-6, 490
Find t, given that -t**3/7 + 1158*t**2/7 - 14885*t/7 = 0.
0, 13, 1145
Suppose 3*d**4 - 90*d**3 - 6549*d**2 + 108360*d + 4348848 = 0. What is d?
-28, 43
Find f such that -5*f**4 - 282320*f**3 - 3984946770*f**2 + 7971869880*f + 11956534335 = 0.
-28233, -1, 3
Solve 66*q**2/7 + 7306*q/7 + 1744 = 0 for q.
-109, -56/33
Factor s**5 + 48*s**4 + 517*s**3 - 1650*s**2 - 5000*s.
s*(s - 4)*(s + 2)*(s + 25)**2
Solve -2*f**2/3 - 390*f + 1172/3 = 0 for f.
-586, 1
Factor 3*p**5 - 6384*p**4 + 3179082*p**3 + 231107184*p**2 + 3931537203*p.
3*p*(p - 1097)**2*(p + 33)**2
Suppose w**5/6 + 55*w**4/3 + 2471*w**3/6 + 9899*w**2/3 + 9878*w + 6972 = 0. What is w?
-83, -14, -6, -1
Factor -3*t**2 - 14061*t - 14058.
-3*(t + 1)*(t + 4686)
Factor 5*q**2 + 295395*q - 590810.
5*(q - 2)*(q + 59081)
Suppose -r**2 - 245*r - 486 = 0. What is r?
-243, -2
Solve 164*d**3 + 12128*d**2 + 76324*d - 3752 = 0.
-67, -7, 2/41
What is j in 2073*j**2 - 2463*j + 390 = 0?
130/691, 1
Let -f**5/3 - 58*f**4 - 2406*f**3 + 63756*f**2 + 4727673*f + 25623702 = 0. What is f?
-69, -6, 39
Suppose 15*c**5 - 651*c**4 + 8598*c**3 - 33756*c**2 + 44568*c - 12960 = 0. What is c?
2/5, 2, 3, 18, 20
Factor -w**2/2 - 223*w/2.
-w*(w + 223)/2
Factor a**2/2 - 12328*a + 75989792.
(a - 12328)**2/2
Factor x**3 - 65*x**2 - 848*x + 912.
(x - 76)*(x - 1)*(x + 12)
Factor -k**3/6 + 2215*k**2/3 + 4436*k/3 - 17728/3.
-(k - 4432)*(k - 2)*(k + 4)/6
Solve 5*j**2 + 249850*j + 3121251125 = 0 for j.
-24985
Factor 2*y**3 - 161026*y**2 + 3240930032*y + 9724239384.
2*(y - 40258)**2*(y + 3)
Suppose -3*z**2/5 - 15078*z/5 - 30144/5 = 0. What is z?
-5024, -2
Suppose 2*h**4/3 - 8*h**3 - 296*h**2 + 12416*h/3 - 7040 = 0. Calculate h.
-22, 2, 12, 20
Suppose -21*o**4 - 603*o**3 - 4740*o**2 - 6156*o + 2160 = 0. What is o?
-15, -12, -2, 2/7
Find w, given that w**2 - 177*w + 350 = 0.
2, 175
Factor 2*y**4 - 70*y**3 - 6*y**2 + 214*y - 140.
2*(y - 35)*(y - 1)**2*(y + 2)
Determine j so that 3*j**2/8 - 2817*j/8 + 7005/4 = 0.
5, 934
Suppose 20*g**5 - 412*g**4 - 2388*g**3 + 4012*g**2 + 16960*g + 6000 = 0. What is g?
-5, -2, -2/5, 3, 25
Factor -m**3 - 310*m**2 + 627*m + 936.
-(m - 3)*(m + 1)*(m + 312)
Factor -5*h**3 - 10670*h**2 - 42615*h - 31950.
-5*(h + 1)*(h + 3)*(h + 2130)
Let -m**4 - 632*m**3 - 2516*m**2 - 2512*m = 0. Calculate m.
-628, -2, 0
Factor 5*l**4 + 1000*l**3 - 67830*l**2 + 1357360*l - 8813815.
5*(l - 19)**3*(l + 257)
Determine n so that -4*n**2 + 19900*n - 593400 = 0.
30, 4945
Factor -5*t**2 - 8715*t - 112450.
-5*(t + 13)*(t + 1730)
Find f such that 5*f**2/2 - 49*f - 20 = 0.
-2/5, 20
Determine q so that 4*q**3 - 940*q**2 - 57000*q = 0.
-50, 0, 285
Factor -3*g**2 + 124956*g + 124959.
-3*(g - 41653)*(g + 1)
Factor 3*o**3 - 384*o**2 + 8397*o - 21816.
3*(o - 101)*(o - 24)*(o - 3)
Factor -21*x**2/2 + 558*x - 159/2.
-3*(x - 53)*(7*x - 1)/2
What is a in a**2/4 + 872959*a/2 + 762057415681/4 = 0?
-872959
Factor -5*j**4 + 634990*j**3 - 20159980005*j**2 - 40321865000*j - 20161250000.
-5*(j - 63500)**2*(j + 1)**2
Factor 2*w**2 + 202268*w + 5114042978.
2*(w + 50567)**2
What is f in 93*f**5 + 1773*f**4 + 21*f**3 - 1773*f**2 - 114*f = 0?
-19, -1, -2/31, 0, 1
Find r such that r**2 + 40712*r - 285033 = 0.
-40719, 7
Solve 294*o**5 + 1827*o**4 + 3018*o**3 + 1707*o**2 + 198*o - 24 = 0.
-4, -1, -2/7, 1/14
Suppose a**2/11 + 353780*a/11 = 0. What is a?
-353780, 0
Factor 2*l**2 - 2378*l + 14196.
2*(l - 1183)*(l - 6)
Solve 5*i**2 - 32660*i - 32665 = 0.
-1, 6533
Factor 2*g**3/11 - 9326*g**2/11 - 37328*g/11 - 37336/11.
2*(g - 4667)*(g + 2)**2/11
Find v such that -2*v**3 - 524*v**2 - 31552*v + 369920 = 0.
-136, 10
Find o such that -5*o**2 + 82340*o + 1071265 = 0.
-13, 16481
Solve 2*q**4 + 84*q**3 + 360*q**2 - 11024*q + 32448 = 0 for q.
-26, 4, 6
Factor -2*j**3 + 10586*j**2 + 159212*j + 148624.
-2*(j - 5308)*(j + 1)*(j + 14)
Factor -3*v**3 - 2898*v**2 - 691092*v + 4251528.
-3*(v - 6)*(v + 486)**2
Factor -3*h**2 - 482556*h - 19405024428.
-3*(h + 80426)**2
Find b, given that b**3 - 115664*b**2 + 3344540224*b = 0.
0, 57832
Solve -8940*k**4 + 16192*k**3/3 + 21436*k**2 + 7072*k - 80/3 = 0 for k.
-1, -2/5, 5/1341, 2
What is o in 44*o**3 + 1992*o**2 - 8540*o + 6504 = 0?
-542/11, 1, 3
Factor 4*s**2 + 1436*s + 33400.
4*(s + 25)*(s + 334)
Solve b**4 - 11*b**3 - 9174*b**2 + 27584*b - 18400 = 0 for b.
-92, 1, 2, 100
Factor -2*m**2/3 - 235*m/3.
-m*(2*m + 235)/3
Let -6*f**4 + 192874*f**3 + 257202*f**2 - 835834*f + 385764 = 0. Calculate f.
-3, 2/3, 1, 32147
Factor -k**2 + 760*k - 1516.
-(k - 758)*(k - 2)
Suppose -7*i**3 + 6834*i**2 - 1952*i = 0. Calculate i.
0, 2/7, 976
Factor -3*p**2/2 + 5952*p - 11898.
-3*(p - 3966)*(p - 2)/2
Solve 3*y**3/4 + 1419*y**2/4 + 2817*y/4 - 4239/4 = 0.
-471, -3, 1
Factor v**4/6 - 11*v**3/2 - 1633*v**2/6 - 1525*v/2.
v*(v - 61)*(v + 3)*(v + 25)/6
Suppose 2*k**4/9 + 620*k**3/3 - 624*k**2 - 16804*k/9 - 3110/3 = 0. Calculate k.
-933, -1, 5
Factor -j**2 + 515*j - 6036.
-(j - 503)*(j - 12)
Determine c, given that -4*c**4 + 2192*c**3 - 400488*c**2 + 24530800*c - 24132500 = 0.
1, 175, 197
Find n, given that 22*n**4/5 - 3134*n**3/5 + 25188*n**2 - 968616*n/5 - 1097712/5 = 0.
-1, 126/11, 66
Factor -579*x**2/7 + 41690*x/7 - 144/7.
-(x - 72)*(579*x - 2)/7
Factor 260*z**2/3 - z/3.
z*(260*z - 1)/3
Factor -3*g**3 - 432*g**2 - 4689*g + 55020.
-3*(g - 7)*(g + 20)*(g + 131)
Factor 3*g**4 - 87*g**3 - 1089*g**2 + 1659*g + 27930.
3*(g - 38)*(g - 5)*(g + 7)**2
Suppose 36*q**3 - 1376*q**2 - 91676*q + 20440 = 0. What is q?
-35, 2/9, 73
Find c such that 2*c**5/7 - 6*c**4/7 - 46*c**3/7 - 66*c**2/7 - 4*c = 0.
-2, -1, 0, 7
Factor q**3/9 - 1271*q**2/9 - 424*q/3.
q*(q - 1272)*(q + 1)/9
Factor 3*h**2 - 2301*h + 9156.
3*(h - 763)*(h - 4)
Find g, given that 3*g**4 - 3921*g**3 + 77091*g**2 + 165957*g + 84942 = 0.
-1, 22, 1287
Factor m**2/3 - 42*m + 1265/3.
(m - 115)*(m - 11)/3
Solve 2*a**5/15 - 94*a**4/15 + 436*a**3/15 - 136*a**2/3 + 112*a/5 = 0 for a.
0, 1, 2, 42
Determine k, given that 2*k**5/5 - 10*k**4 - 58*k**3 - 62*k**2 + 288*k/5 + 72 = 0.
-3, -2, -1, 1, 30
Determine v so that -8*v**3 - 36*v**2 - 28*v + 24 = 0.
-3, -2, 1/2
Solve 2*b**3/11 - 1158*b**2/11 - 64272*b/11 - 853112/11 = 0 for b.
-26, 631
Suppose 2*t**5 - 6*t**4 - 22*t**3 + 54*t**2 + 20*t - 48 = 0. What is t?
-3, -1, 1, 2, 4
Factor -2*a**4/17 - 2604*a**3/17 - 2602*a**2/17.
-2*a**2*(a + 1)*(a + 1301)/17
Determine f so that 25*f**4/2 + 335*f**3 - 778*f**2 + 561*f - 261/2 = 0.
-29, 3/5, 1
Factor -900*p**2 + 21120*p - 123904.
-4*(15*p - 176)**2
Determine w so that 8*w**4/7 + 2462*w**3/7 + 47760*w**2/7 + 33826*w/7 - 1640 = 0.
-287, -20, -1, 1/4
Solve -7755*b**4 + 8553*b**3 + 942*b**2 - 1668*b - 72 = 0.
-2/5, -2/47, 6/11, 1
Determine r, given that -2*r**5/11 + 32*r**4/11 - 118*r**3/11 - 32*r**2/11 + 120*r/11 = 0.
-1, 0, 1, 6, 10
Factor 5*p**4/3 + 4010*p**3 - 12040*p**2 + 36130*p/3 - 4015.
5*(p - 1)**3*(p + 2409)/3
Determine i, given that 9*i**5/5 + 159*i**4/5 + 129*i**3/5 - 5247*i**2/5 + 7182*i/5 + 7128/5 = 0.
-12, -11, -2/3, 3
Determine z, given that 2*z**5/11 - 104*z**4/11 - 3670*z**3/11 - 29484*z**2/11 - 48384*z/11 - 22464/11 = 0.
-12, -1, 78
Factor 3*a**3/5 + 516*a**2/5 + 4851*a + 346302/5.
3*(a + 33)**2*(a + 106)/5
Find l such that -l**5 - 6*l**4 + 16*l**3 - 2*l**2 - 15*l + 8 = 0.
-8, -1, 1
Determine a so that 2*a**4/7 - 18*a**3 - 204*a**2 - 2336*a/7 = 0.
-8, -2, 0, 73
Factor -643*b**2/4 - 321