5
Find m, given that -m**3 - 129*m**2 + 837*m + 3645 = 0.
-135, -3, 9
Let 2*k**3/7 - 90*k**2/7 - 972*k/7 = 0. Calculate k.
-9, 0, 54
Solve -3*w**2 + 318*w - 5727 = 0.
23, 83
Let -4*f**4 - 6712*f**3 - 46720*f**2 + 113592*f - 60156 = 0. What is f?
-1671, -9, 1
Factor -5*c**2 - 15255*c + 91710.
-5*(c - 6)*(c + 3057)
Solve -3*z**2 - 183831*z + 183834 = 0 for z.
-61278, 1
Determine f so that f**5 + 19*f**4 - 223*f**3 - 3139*f**2 - 2898*f = 0.
-23, -9, -1, 0, 14
Solve 2*m**4/11 + 428*m**3/11 + 12542*m**2/11 + 54708*m/11 + 62640/11 = 0 for m.
-180, -29, -3, -2
Factor 2*t**2/5 + 288*t/5 + 568/5.
2*(t + 2)*(t + 142)/5
Determine w so that -3*w**4 - 39*w**3 + 12495*w**2 - 140361*w + 127908 = 0.
-76, 1, 11, 51
Solve -15*d**4 - 162*d**3 - 393*d**2 + 162*d + 408 = 0 for d.
-34/5, -4, -1, 1
Suppose 3*q**2 + 13230*q + 13227 = 0. Calculate q.
-4409, -1
Determine y, given that 2*y**4 - 44*y**3 - 53086*y**2 + 3713208*y + 3766248 = 0.
-181, -1, 102
Solve -p**2/2 + 3*p + 36 = 0.
-6, 12
What is l in -2*l**5/15 + 328*l**4/15 - 2068*l**3/5 + 28072*l**2/15 + 34606*l/15 = 0?
-1, 0, 11, 143
Suppose -3*s**5/2 - 393*s**4/2 + 9*s**3/2 + 1185*s**2/2 + 393*s = 0. What is s?
-131, -1, 0, 2
Determine d so that 154*d**2 + 18324*d/7 - 34/7 = 0.
-17, 1/539
Let -d**3/2 + 68625*d**2/2 - 34311*d - 68624 = 0. What is d?
-1, 2, 68624
Factor -s**2/2 + 3889*s - 31080.
-(s - 7770)*(s - 8)/2
Find b such that -3*b**4/5 + 9*b**3 + 234*b**2/5 - 696*b - 7488/5 = 0.
-8, -2, 12, 13
Solve v**5/5 + 80*v**4 - 2033*v**3/5 - 3192*v**2/5 + 3888*v = 0.
-405, -3, 0, 4
Find a, given that -a**3/6 - 383*a**2/6 - 14944*a/3 + 62872/3 = 0.
-271, -116, 4
Determine n, given that -n**4/4 - 101*n**3/4 + 203*n**2 + 1524*n + 1296 = 0.
-108, -4, -1, 12
Determine u, given that -u**3/3 - 134*u**2/3 + 17929*u/3 - 17794/3 = 0.
-217, 1, 82
Find f, given that -3*f**5 - 66*f**4 - 15*f**3 + 1020*f**2 + 108*f - 3024 = 0.
-21, -4, -2, 2, 3
Factor 5*r**2 - 15165*r + 15160.
5*(r - 3032)*(r - 1)
What is u in 10*u**3 + 635034*u**2 + 889032*u + 254008 = 0?
-63502, -1, -2/5
Factor -2*u**2 + 73490*u + 73492.
-2*(u - 36746)*(u + 1)
Solve 3*q**3/5 + 2193*q**2/5 + 86901*q + 12058299/5 = 0 for q.
-349, -33
Solve 4*w**2/5 + 8756*w/5 + 17496/5 = 0.
-2187, -2
Factor -5*t**3 - 50*t**2 - 80*t.
-5*t*(t + 2)*(t + 8)
Factor 2*p**4 - 776*p**3 - 2394*p**2 + 18824*p - 21896.
2*(p - 391)*(p - 2)**2*(p + 7)
Suppose 16*q**3 - 5540*q**2 - 252992*q + 258516 = 0. Calculate q.
-167/4, 1, 387
Factor -r**3 - 191354*r**2 - 382705*r - 191352.
-(r + 1)**2*(r + 191352)
Let 2*k**4 + 1236*k**3 + 40216*k**2 + 293040*k - 756864 = 0. Calculate k.
-584, -18, 2
Let 84*d**5 - 33356*d**4 + 36356*d**3 + 30188*d**2 - 36440*d + 3168 = 0. Calculate d.
-1, 2/21, 1, 396
Factor 4*x**3 - 324*x**2 - 6736*x + 7056.
4*(x - 98)*(x - 1)*(x + 18)
Find s such that 33*s**3 - 90*s**2 - 2601*s - 2478 = 0.
-7, -1, 118/11
What is y in -2*y**4/7 + 240*y**3/7 - 1530*y**2/7 - 860*y + 16272/7 = 0?
-4, 2, 9, 113
Factor 5*z**4 + 130*z**3 - 1660*z**2 + 4920*z - 4320.
5*(z - 6)*(z - 2)**2*(z + 36)
Solve -13*j**5/4 - 103*j**4/4 + 255*j**3/4 - 149*j**2/4 + 5*j/2 = 0.
-10, 0, 1/13, 1
Factor -5*t**2 - 7195*t - 7190.
-5*(t + 1)*(t + 1438)
Find j such that -2*j**4/7 - 2420*j**3 - 50802*j**2/7 + 8*j/7 + 67736/7 = 0.
-8467, -2, 1
Factor 3*f**3/5 - 576*f**2/5 + 6981*f/5.
3*f*(f - 179)*(f - 13)/5
Solve -g**3/6 + 841*g**2/2 + 29258*g/3 + 17822 = 0 for g.
-21, -2, 2546
Determine d so that -4*d**5 + 4*d**4 + 6068*d**3 - 12084*d**2 - 2304288*d + 6858432 = 0.
-28, 3, 27
Suppose 3*m**3/4 + 15*m**2 - 489*m + 912 = 0. Calculate m.
-38, 2, 16
Factor t**3/3 + 91069*t**2/3 + 728504*t/3 + 1456976/3.
(t + 4)**2*(t + 91061)/3
Determine d so that -d**5 - 74*d**4 - 480*d**3 - 742*d**2 - 335*d = 0.
-67, -5, -1, 0
Factor 5*q**3/3 + 2956*q**2/3 - 76409*q/3 - 15400/3.
(q - 25)*(q + 616)*(5*q + 1)/3
Find p such that -3*p**5 - 465*p**4 - 2682*p**3 + 66*p**2 + 9789*p - 6705 = 0.
-149, -5, -3, 1
Determine q so that -5*q**4/7 - 96*q**3/7 + 506*q**2/7 + 12480*q/7 + 2475/7 = 0.
-15, -1/5, 11
Suppose 4*r**5 - 1192*r**4 - 4844*r**3 + 3568*r**2 + 16880*r + 9664 = 0. Calculate r.
-4, -1, 2, 302
Find z, given that 15*z**2 + 147*z - 3060 = 0.
-20, 51/5
Suppose 24*a**5/7 + 846*a**4/7 + 1206*a**3 + 19842*a**2/7 + 4446*a/7 = 0. Calculate a.
-19, -13, -3, -1/4, 0
Factor -100489*r**3 - 716103*r**2 - 89160*r - 2800.
-(r + 7)*(317*r + 20)**2
Determine z so that 2*z**5 + 724*z**4 + 2842*z**3 - 7864*z**2 + 4296*z = 0.
-358, -6, 0, 1
Factor -3*t**3/7 - 2148*t**2/7 + 4380*t/7 + 51696/7.
-3*(t - 6)*(t + 4)*(t + 718)/7
Let -2*m**3 - 588*m**2 + 6710*m = 0. What is m?
-305, 0, 11
Let -2*l**2/7 + 1052636*l/7 - 138505318562/7 = 0. Calculate l.
263159
Solve -3*m**4 + 1788*m**3 - 1785*m**2 = 0 for m.
0, 1, 595
Find f, given that 27*f**5 - 1818*f**4 - 5226*f**3 + 13068*f**2 - 3321*f - 2730 = 0.
-13/3, -1/3, 1, 70
Determine t, given that 4*t**2 + 2772*t = 0.
-693, 0
Factor r**3 + 297*r**2 - 10138*r + 9840.
(r - 30)*(r - 1)*(r + 328)
Solve -9*z**5/7 - 12*z**4 + 237*z**3/7 + 120*z**2 + 528*z/7 = 0 for z.
-11, -4/3, -1, 0, 4
What is f in f**3 + 8380*f**2 - 41921*f + 33540 = 0?
-8385, 1, 4
Solve -s**2/2 + 423*s - 4205/2 = 0.
5, 841
Solve -4*w**4 + 432*w**3 + 17252*w**2 + 94320*w - 112000 = 0.
-25, -8, 1, 140
Factor -4*b**2/5 + 4636*b/5 + 9288/5.
-4*(b - 1161)*(b + 2)/5
Factor 5*s**2 + 955*s - 33150.
5*(s - 30)*(s + 221)
Suppose l**2/4 - 13115*l + 26229 = 0. What is l?
2, 52458
Determine o so that 2*o**4 - 292*o**3 - 10686*o**2 + 22240*o - 11264 = 0.
-32, 1, 176
Factor -4*j**3 - 3544*j**2 - 667876*j + 53694960.
-4*(j - 60)*(j + 473)**2
Factor j**2/4 + 201*j/2 + 4400.
(j + 50)*(j + 352)/4
Find c such that -c**4/6 - 35*c**3/6 - 127*c**2/6 - 31*c/2 = 0.
-31, -3, -1, 0
Determine d, given that 51*d**4/5 - 267*d**3/5 + 33*d**2 + 267*d/5 - 216/5 = 0.
-1, 1, 72/17
Factor -u**3/4 - 2*u**2 - 5*u - 4.
-(u + 2)**2*(u + 4)/4
Solve -5*f**5 + 3835*f**4 - 15245*f**3 - 11495*f**2 + 38110*f + 30520 = 0 for f.
-1, 2, 4, 763
Suppose -n**5 - 51*n**4 - 313*n**3 - 213*n**2 + 314*n + 264 = 0. What is n?
-44, -6, -1, 1
Factor -2*m**2 - 12780*m - 20416050.
-2*(m + 3195)**2
Factor -3*z**3 - 72*z**2 + 273*z + 810.
-3*(z - 5)*(z + 2)*(z + 27)
Solve -4*g**5/5 + 54*g**4/5 + 18*g**3 = 0.
-3/2, 0, 15
Factor d**4/3 - 13*d**3 - 14*d**2 + 80*d/3.
d*(d - 40)*(d - 1)*(d + 2)/3
Let -w**5/4 - 6*w**4 - 171*w**3/4 - 54*w**2 + 405*w + 972 = 0. What is w?
-12, -6, -3, 3
Factor -3*g**2/8 - 4827*g/8 + 4839/2.
-3*(g - 4)*(g + 1613)/8
Solve o**4/4 - 968*o**3 + 1160712*o**2 - 301181440*o - 157540481728 = 0 for o.
-244, 1372
Let -5*b**4/2 + 2925*b**3 = 0. Calculate b.
0, 1170
Factor -2738*o**2 + 7104*o - 4608.
-2*(37*o - 48)**2
Factor k**4 - 87945*k**3 + 1933536783*k**2 + 1933624729*k.
k*(k - 43973)**2*(k + 1)
Let 4*u**2 - 16548*u - 99432 = 0. What is u?
-6, 4143
Suppose g**2 - 2139*g - 4282 = 0. Calculate g.
-2, 2141
Find q, given that 5*q**4 - 410*q**3 - 13080*q**2 + 1177760*q + 2404480 = 0.
-52, -2, 68
Find d, given that 4*d**3/7 - 356*d**2 + 459264*d/7 - 26433072/7 = 0.
138, 347
Suppose 3*b**2 + 31140*b - 124608 = 0. What is b?
-10384, 4
Factor 2*x**3/11 - 44*x**2 + 11570*x/11 - 73008/11.
2*(x - 216)*(x - 13)**2/11
Find y such that 2*y**5 - 6734*y**4/9 - 147860*y**3/9 - 86812*y**2/3 - 104318*y/9 + 15010/9 = 0.
-19, -1, 1/9, 395
Solve -2*p**4 + 4272*p**3 + 21396*p**2 + 29968*p + 12846 = 0.
-3, -1, 2141
Factor -29*n**2/6 + 545*n/3 - 875/2.
-(n - 35)*(29*n - 75)/6
Solve 3*g**4 - 159*g**3 + 2124*g**2 + 1092*g - 40560 = 0 for g.
-4, 5, 26
What is t in 6*t**5/5 - 1194*t**4/5 + 42354*t**3/5 - 119958*t**2/5 + 23520*t - 38808/5 = 0?
1, 42, 154
What is x in -3*x**3 + 11811*x**2 = 0?
0, 3937
Determine f so that -3*f**5/2 + 1755*f**4/2 + 3567*f**3/2 - 26307*f**2/2 - 31698*f = 0.
-3, 0, 4, 587
Factor -4*r**2/9 + 10328*r - 92948/9.
-4*(r - 23237)*(r - 1)/9
Let 2*w**2/3 + 5968*w/3 + 5966/3 = 0. What is w?
-2983, -1
Factor -4415*g**2 + 8500*g + 660.
-5*(g - 2)*(883*g + 66)
What is o in -5*o**5 - 245*o**4 - 3375*o**3 - 19755*o**2 - 51840*o - 50220 = 0?
-31, -6, -3
Factor -4*a**2 + 32056*a - 32052.
-4*(a - 8013)*(a - 1)
Factor 3*b**3 - 1290*b**2 + 88800*b - 1680000.
3*(b - 350)*(b - 40)**2
Find r, given that 4*r**5 - 2892*r**4 - 2912*r**3 + 11568*r**2 + 11584*r = 0.
-2, -1, 0, 2, 724
Determine q so that 4*q**3 + 105348*q