= 0.
-7998, -5, 1
Suppose 30*n**4 + 168746*n**3 - 698130*n**2 - 754266*n + 112580 = 0. Calculate n.
-5629, -1, 2/15, 5
Let -4*i**5/3 - 1868*i**4/3 + 8*i**3/3 + 3736*i**2/3 - 4*i/3 - 1868/3 = 0. Calculate i.
-467, -1, 1
Let 8*s**4/5 + 262*s**3/5 + 808*s**2/5 - 19138*s/5 - 2940 = 0. Calculate s.
-25, -14, -3/4, 7
Let 4*z**3 - 148*z**2 - 2272*z - 3920 = 0. What is z?
-10, -2, 49
Factor 31*p**3/6 + 123*p**2/2 + 305*p/6 - 11/2.
(p + 1)*(p + 11)*(31*p - 3)/6
What is j in -24*j**5 + 302950*j**4 - 1488990*j**3 + 832590*j**2 + 2498310*j + 681372 = 0?
-3/4, -1/3, 3, 12618
Determine v, given that 2*v**4 + 6*v**3 - 486*v**2 + 1458*v + 8748 = 0.
-18, -3, 9
Factor w**2/8 - 875*w/4 - 1758.
(w - 1758)*(w + 8)/8
Let 15*w**2 + 79839*w - 31938 = 0. What is w?
-5323, 2/5
Determine m so that -36*m**4 - 201*m**3 + 108*m**2 + 111*m + 18 = 0.
-6, -1/3, -1/4, 1
Let o**5/7 - 87*o**4/7 + 768*o**3/7 + 48484*o**2/7 + 327456*o/7 + 606528/7 = 0. Calculate o.
-13, -4, 54
Find s, given that -2*s**5/3 + 11512*s**4/3 - 46024*s**3/3 + 46016*s**2/3 = 0.
0, 2, 5752
Determine c, given that 2*c**3 - 10980*c**2 + 10978*c = 0.
0, 1, 5489
What is k in -k**2 - 1168*k - 2332 = 0?
-1166, -2
Determine h so that -1120*h**5 - 7412*h**4 + 36604*h**3 - 12784*h**2 - 240*h = 0.
-10, -1/56, 0, 2/5, 3
Factor -4*f**5 + 420*f**4 - 15104*f**3 + 199648*f**2 - 499392*f + 314432.
-4*(f - 34)**3*(f - 2)*(f - 1)
Let -2*v**2 - 96172*v - 1156131698 = 0. What is v?
-24043
Determine v so that 4*v**4 - 24*v**3 - 6348*v**2 + 25552*v - 25584 = 0.
-39, 2, 41
Suppose -v**2/9 + 4682*v/3 - 5480281 = 0. Calculate v.
7023
Solve -4*a**3 + 5916*a**2 + 47520*a + 95168 = 0 for a.
-4, 1487
Factor 3*g**3 + 1743*g**2 + 8490*g - 86400.
3*(g - 5)*(g + 10)*(g + 576)
Solve -24*b**5/11 - 16464*b**4/11 - 51402*b**3 - 2487486*b**2/11 - 2071644*b/11 - 483600/11 = 0.
-650, -31, -4, -1/2
Find j such that -5*j**5 + 475*j**4 - 10630*j**3 - 11590*j**2 + 10635*j + 11115 = 0.
-1, 1, 39, 57
Let 2*i**4 + 122696*i**3 + 2509092300*i**2 + 17104482127304*i + 17101973157698 = 0. What is i?
-20449, -1
Factor -5*y**2 + 4005*y - 11970.
-5*(y - 798)*(y - 3)
Factor 5*i**3/4 + 45*i**2 - 2435*i/4 + 3525/2.
5*(i - 6)*(i - 5)*(i + 47)/4
Factor -8427*l**4 - 233094*l**3 - 703659*l**2 + 12560688*l - 24470208.
-3*(l + 17)**2*(53*l - 168)**2
Let 3*o**5 + 12306*o**4 + 49167*o**3 - 36912*o**2 - 122916*o + 98352 = 0. Calculate o.
-4098, -4, -2, 1
Determine p so that 3481*p**3/3 - 292640*p**2/3 + 19828*p/3 - 112 = 0.
2/59, 84
Solve -b**5 - 218*b**4 - 17230*b**3 - 583568*b**2 - 7671433*b - 33676478 = 0.
-67, -62, -11
Suppose 2*d**4 - 7326*d**3 - 2*d**2 + 7326*d = 0. What is d?
-1, 0, 1, 3663
What is q in -q**4 - 1393*q**3 - 2775*q**2 + 9733*q - 5564 = 0?
-1391, -4, 1
Determine q, given that -q**3/2 - 71*q**2/2 - 47*q/2 + 50807/2 = 0.
-47, 23
Let -15*q**4 + 921*q**3/2 - 21*q**2/2 - 9045*q - 2700 = 0. Calculate q.
-4, -3/10, 5, 30
Factor -4*s**3 + 14124*s**2 - 56444*s + 42324.
-4*(s - 3527)*(s - 3)*(s - 1)
Factor 2*b**3/9 - 650*b**2/9 + 24416*b/9 - 15416/3.
2*(b - 282)*(b - 41)*(b - 2)/9
Factor -1030*s**2 - 1567656*s + 6088.
-2*(s + 1522)*(515*s - 2)
Factor 2*r**2 - 376124*r + 752240.
2*(r - 188060)*(r - 2)
Determine z so that -2*z**3/7 + 28288*z**2/7 + 56582*z/7 + 28292/7 = 0.
-1, 14146
Solve -2*p**4 + 754*p**3 + 44616*p**2 = 0 for p.
-52, 0, 429
Factor 3*v**4 - 18573*v**3 + 55701*v**2 - 55695*v + 18564.
3*(v - 6188)*(v - 1)**3
What is c in 12*c**3/7 + 1240*c**2/7 - 2092*c/7 + 120 = 0?
-105, 2/3, 1
Suppose r**4/9 - 524*r**3/9 - 1203*r**2 - 28798*r/9 - 18496/9 = 0. Calculate r.
-17, -2, -1, 544
Factor u**3/5 - 591*u**2/5 + 21663*u - 5766093/5.
(u - 249)**2*(u - 93)/5
Find k, given that -3*k**3 - 78818*k**2 - 517716032*k - 345108992 = 0.
-13136, -2/3
Let 4*f**3 + 7924*f**2 + 71048*f + 110432 = 0. Calculate f.
-1972, -7, -2
Factor 3*q**3/2 + 264489*q**2/2 + 2914701840*q - 2914834086.
3*(q - 1)*(q + 44082)**2/2
Factor -4*a**2/7 - 6656*a/7 - 13296/7.
-4*(a + 2)*(a + 1662)/7
Factor 33*y**4 + 126*y**3 - 135*y**2 - 648*y.
3*y*(y + 3)**2*(11*y - 24)
Suppose 196*d**4/5 + 1299*d**3/5 + 51*d**2 - 2788*d/5 + 132 = 0. Calculate d.
-6, -2, 1/4, 55/49
Factor 4*g**4 + 1952*g**3 + 191328*g**2 - 11423104*g + 136983616.
4*(g - 22)**2*(g + 266)**2
What is b in 2*b**3 + 617*b**2 + 10670*b - 17400 = 0?
-290, -20, 3/2
Factor 236*o**2 + 819876*o + 41688.
4*(o + 3474)*(59*o + 3)
What is d in -3*d**4 + 10053*d**3 - 110250*d**2 + 100200*d = 0?
0, 1, 10, 3340
Suppose -4*k**4/7 - 124*k**3 - 66432*k**2/7 - 2039040*k/7 - 18911232/7 = 0. What is k?
-72, -57, -16
Determine m so that 2*m**4 - 88582*m**3 + 1307144874*m**2 - 6416745589810*m - 141802004784484 = 0.
-22, 14771
What is b in -3*b**5 - 483*b**4 + 1521*b**3 + 7431*b**2 + 8382*b + 2952 = 0?
-164, -1, 6
Factor 2*r**2/11 - 17410*r/11 + 34812/11.
2*(r - 8703)*(r - 2)/11
Determine a, given that -3*a**2 + 20691*a - 350880 = 0.
17, 6880
Find v, given that 3*v**2 + 1809*v - 1812 = 0.
-604, 1
Find h such that 2*h**5 + 94*h**4/5 - 114*h**3/5 - 118*h**2 - 512*h/5 - 24 = 0.
-10, -1, -2/5, 3
Find r, given that 2*r**2/3 - 228380*r/3 + 456752/3 = 0.
2, 114188
Let -4*m**4 - 128*m**3 + 604*m**2 + 968*m - 1440 = 0. What is m?
-36, -2, 1, 5
Factor -2*d**2/3 + 2290*d/3 + 35700.
-2*(d - 1190)*(d + 45)/3
Determine y so that 6*y**5 + 4652*y**4 + 15448*y**3 + 6160*y**2 - 12352*y = 0.
-772, -2, 0, 2/3
Suppose 3*y**2/5 + 438*y/5 - 11661/5 = 0. Calculate y.
-169, 23
Factor -5*i**2 + 81448*i + 32580.
-(i - 16290)*(5*i + 2)
Factor h**4 + 401*h**3 - 1252*h**2 - 16160*h.
h*(h - 8)*(h + 5)*(h + 404)
Find q, given that 2*q**3 - 1464*q**2 - 5880*q - 5888 = 0.
-2, 736
Suppose -2*n**3/3 - 1022*n**2/3 - 10696*n/3 + 152000/3 = 0. Calculate n.
-500, -19, 8
Factor -4*m**4 + 308*m**3 - 5028*m**2 + 27324*m - 36936.
-4*(m - 57)*(m - 9)**2*(m - 2)
Determine l so that -2*l**4 - 510*l**3 - 3010*l**2 - 5490*l - 2988 = 0.
-249, -3, -2, -1
Determine n so that 98*n**5 + 14000*n**4 + 66336*n**3 + 89748*n**2 + 44766*n + 7452 = 0.
-138, -3, -1, -3/7
What is y in -35*y**5 + 340*y**4 - 145*y**3 - 700*y**2 - 180*y = 0?
-1, -2/7, 0, 2, 9
Determine x, given that x**4/6 + 889*x**3/6 + 2649*x**2/2 + 7929*x/2 + 3960 = 0.
-880, -3
Factor 3*z**2/5 - 227898*z/5 + 4328124867/5.
3*(z - 37983)**2/5
Let -3*n**2 + 1404*n - 2796 = 0. What is n?
2, 466
Suppose 4*v**5 - 124*v**4 + 16*v**3 + 3024*v**2 + 2880*v = 0. What is v?
-4, -1, 0, 6, 30
Factor 2*n**3/9 - 212*n**2/9 + 5366*n/9 + 620.
2*(n - 62)*(n - 45)*(n + 1)/9
Factor 2*g**2/3 + 138452*g/3 - 92304.
2*(g - 2)*(g + 69228)/3
Find w, given that w**3 + 82*w**2 - 1320*w + 2304 = 0.
-96, 2, 12
Find i, given that -i**5 - 1623*i**4/2 - 400*i**3 + 4455*i**2 - 4459*i + 2433/2 = 0.
-811, -3, 1/2, 1
Let -4*v**5 + 811*v**4/5 - 1952*v**3/5 + 517*v**2/5 + 568*v/5 + 76/5 = 0. What is v?
-1/4, -1/5, 1, 2, 38
What is m in -42*m**4 - 171*m**3 + 282*m**2 + 441*m + 30 = 0?
-5, -1, -1/14, 2
Factor 5*t**2 - 1711020*t + 1711015.
5*(t - 342203)*(t - 1)
Determine k so that 2*k**2/9 - 2584*k/9 = 0.
0, 1292
Factor -4*b**3 - 3776*b**2 + 15156*b - 11376.
-4*(b - 3)*(b - 1)*(b + 948)
Solve 20*j**3 + 1288*j**2 + 500*j - 768 = 0 for j.
-64, -1, 3/5
Let 9*c**5 - 6486*c**4 + 17247*c**3 - 10770*c**2 = 0. What is c?
0, 1, 5/3, 718
Suppose 3*p**3 - 90*p**2 - 16572*p + 33480 = 0. What is p?
-62, 2, 90
Solve l**2/2 - 549*l/2 - 17271 = 0.
-57, 606
Factor -4*i**2 - 352*i - 7260.
-4*(i + 33)*(i + 55)
Factor 5*l**2 + 1185*l + 5800.
5*(l + 5)*(l + 232)
Let 2*x**5/15 + 934*x**4/15 + 27092*x**3/15 + 1744*x**2 = 0. What is x?
-436, -30, -1, 0
Factor w**3 + 1720*w**2 + 5147*w - 6868.
(w - 1)*(w + 4)*(w + 1717)
Find s, given that -s**2/9 - 8159*s = 0.
-73431, 0
Determine p so that -25*p**4 + 585*p**3 - 130*p**2 - 2340*p + 920 = 0.
-2, 2/5, 2, 23
Suppose -3*f**2 - 11208*f + 123651 = 0. Calculate f.
-3747, 11
Factor n**4/2 - 17*n**3/2 + 48*n**2 - 90*n.
n*(n - 6)**2*(n - 5)/2
Find f such that f**3/2 - 21668*f**2 + 469458885*f/2 + 469545561 = 0.
-2, 21669
Factor r**2/3 - 868*r/3 + 57660.
(r - 558)*(r - 310)/3
Determine w so that -3*w**2/7 - 52302*w/7 + 52305/7 = 0.
-17435, 1
Solve -400*j**5 - 480*j**4 + 22316*j**3 + 4476*j**2 + 224*j = 0.
-8, -1/10, 0, 7
Determine m so that -4*m**5 + 224*m**4 - 992*m**3 - 1448*m**2 + 996*m + 1224 = 0.
-1, 1, 6, 51
Factor 2*x**3/3 + 65134*x**2/3 - 260560*x/3 + 86856.
2*(x -