u**2/7 - 1532*u/7 + 51996.
(u - 1238)*(u - 294)/7
Factor -3*a**4 + 33*a**3 + 246*a**2 - 1680*a.
-3*a*(a - 14)*(a - 5)*(a + 8)
Factor 13*q**3 + 1618*q**2 + 9948*q + 4248.
(q + 6)*(q + 118)*(13*q + 6)
Find k, given that -2*k**5/13 + 54*k**4/13 + 36*k**3/13 - 1036*k**2/13 + 1758*k/13 - 810/13 = 0.
-5, 1, 3, 27
Solve -9*n**4 + 10083*n**3 + 212727*n**2 - 571227*n - 472374 = 0.
-23, -2/3, 3, 1141
Let 1389*x**2 + 81945*x - 354 = 0. Calculate x.
-59, 2/463
Let 5*r**4 - 611410*r**3 + 24923109420*r**2 - 338738261745240*r + 2708311327980480 = 0. What is r?
8, 40758
Determine d so that -4*d**2 + 264*d + 6048 = 0.
-18, 84
Find n such that -4*n**5 + 100*n**4 + 1268*n**3 + 4476*n**2 + 5040*n = 0.
-4, -3, 0, 35
Determine l, given that 76*l**2/11 - 490*l/11 + 50 = 0.
55/38, 5
Suppose 97682*z**3 + 32822920*z**2 + 594056*z + 2688 = 0. Calculate z.
-336, -2/221
Find k, given that -5*k**5/3 + 1190*k**4/3 - 73120*k**3/3 + 272590*k**2/3 + 24375*k - 91260 = 0.
-1, 1, 4, 117
Suppose 3*z**5 - 321*z**4 + 11250*z**3 - 129414*z**2 - 11253*z + 129735 = 0. Calculate z.
-1, 1, 31, 45
Determine h so that 3*h**3 + 111603*h**2 + 1037768376*h - 3114309636 = 0.
-18602, 3
What is j in 2*j**5 + 136*j**4 + 2362*j**3 + 1964*j**2 - 4464*j = 0?
-36, -31, -2, 0, 1
Let 5*o**3 + 2405*o**2 + 106800*o + 1247040 = 0. What is o?
-433, -24
Factor -1448*c**4 - 1036*c**3 - 156*c**2.
-4*c**2*(2*c + 1)*(181*c + 39)
Factor -a**2 - 886*a - 86688.
-(a + 112)*(a + 774)
Let -u**3/4 - 3906*u**2 - 61477917*u/4 - 1756677581/2 = 0. What is u?
-7783, -58
Factor -51*z**4/5 + 4884*z**3/5 - 121119*z**2/5 + 39762*z.
-3*z*(z - 47)**2*(17*z - 30)/5
Determine k so that -2*k**5/11 + 366*k**4/11 - 19860*k**3/11 + 149276*k**2/11 + 8645814*k/11 + 48723606/11 = 0.
-9, 67
Factor 4*f**3 + 13368*f**2 - 80316*f + 120528.
4*(f - 3)**2*(f + 3348)
Factor 2*r**3 + 8274*r**2 + 8272*r.
2*r*(r + 1)*(r + 4136)
Let -2*v**5/3 + 814*v**4/3 - 110030*v**3/3 + 1688206*v**2 - 6286800*v + 4635000 = 0. Calculate v.
1, 3, 103, 150
Let 14*n**5/9 + 824*n**4/9 + 1492*n**3/9 + 568*n**2/9 - 38*n/3 = 0. Calculate n.
-57, -1, 0, 1/7
Suppose 2*x**3/5 + 1912*x**2/5 + 578474*x/5 + 56372316/5 = 0. Calculate x.
-462, -247
Solve -7*j**3/10 - 25261*j**2/10 + 16244*j/5 - 722 = 0 for j.
-3610, 2/7, 1
Let 2*n**5/5 + 16*n**4 + 642*n**3/5 - 68*n**2/5 - 5576*n/5 - 1392 = 0. Calculate n.
-29, -10, -2, 3
Suppose -5*n**4 + 37915*n**3 + 151715*n**2 + 189665*n + 75870 = 0. What is n?
-2, -1, 7587
Suppose -4*l**3 - 20640*l**2 - 61892*l - 41256 = 0. Calculate l.
-5157, -2, -1
Solve 10*t**4/7 - 186*t**3/7 + 544*t**2/7 + 2328*t/7 + 832/7 = 0 for t.
-2, -2/5, 8, 13
Let -3*y**2/4 + 33*y - 315 = 0. Calculate y.
14, 30
Find u such that -2*u**5 + 14*u**4 + 250*u**3 + 626*u**2 - 248*u - 640 = 0.
-5, -4, -1, 1, 16
Let 2*k**3/13 + 360*k**2 + 32662*k/13 = 0. Calculate k.
-2333, -7, 0
Determine r, given that -2*r**3/9 - 14*r**2/3 + 8*r/9 + 56/3 = 0.
-21, -2, 2
Factor 2*v**2/5 + 242356*v/5 - 969456/5.
2*(v - 4)*(v + 121182)/5
Factor 4*p**3 - 232*p**2 - 10092*p.
4*p*(p - 87)*(p + 29)
Factor -5*h**3 - 133705*h**2 - 893918200*h - 893784500.
-5*(h + 1)*(h + 13370)**2
Solve 2*j**2/11 - 706*j/11 + 8840/11 = 0.
13, 340
Find k such that 2*k**4/9 - 1816*k**3/9 - 12794*k**2/9 - 14672*k/9 + 9760/3 = 0.
-4, 1, 915
Let 2*p**3/11 + 16*p**2/11 - 50*p + 132 = 0. What is p?
-22, 3, 11
Let b**5/5 - 317*b**4/5 + 34344*b**3/5 - 1419152*b**2/5 + 3348224*b - 59421696/5 = 0. What is b?
8, 69, 116
Let -2*o**3/7 - 18*o**2 - 478*o/7 - 354/7 = 0. What is o?
-59, -3, -1
Solve -2*g**5 - 14*g**4 + 120*g**3 + 352*g**2 - 2240*g + 2400 = 0 for g.
-10, -6, 2, 5
Let h**5/4 - 159*h**4/2 + 26525*h**3/4 - 49604*h**2 + 121365*h - 96100 = 0. Calculate h.
2, 4, 155
Factor 3*q**4/2 + 1917*q**3 + 1255251*q**2/2 + 9677016*q + 38223456.
3*(q + 8)**2*(q + 631)**2/2
Determine z, given that -2*z**2/11 - 4408*z/11 + 8904 = 0.
-2226, 22
Factor -4*u**4 + 680*u**3 - 4588*u**2 + 3912*u.
-4*u*(u - 163)*(u - 6)*(u - 1)
Solve -2*a**3/3 - 389*a**2 - 573*a + 5238 = 0.
-582, -9/2, 3
Let 15*y**5 + 3144*y**4/5 + 48348*y**3/5 + 324162*y**2/5 + 793881*y/5 - 13122 = 0. Calculate y.
-15, -9, 2/25
Factor -2*l**2 - 21992*l + 43992.
-2*(l - 2)*(l + 10998)
What is z in 2*z**3/17 + 350332*z**2/17 + 15341914104*z/17 + 30682426896/17 = 0?
-87582, -2
Find m such that m**4/6 + 187*m**3/6 + 1732*m**2/3 - 1826*m/3 = 0.
-166, -22, 0, 1
Solve -209*u**3/6 + 2999*u**2/2 + 9190*u/3 - 150 = 0.
-2, 10/209, 45
Determine f, given that -4*f**3/7 - 1080*f**2 + 401232*f/7 - 5251168/7 = 0.
-1942, 26
Solve 8*x**5 - 700*x**4 + 1128*x**3 + 49492*x**2 - 73544*x - 48960 = 0.
-8, -1/2, 2, 9, 85
Find m such that -5*m**5 - 825*m**4 - 780*m**3 + 6620*m**2 + 9840*m = 0.
-164, -2, 0, 3
Factor 4*l**3 - 172*l**2 - 224*l + 2112.
4*(l - 44)*(l - 3)*(l + 4)
Find u, given that -3*u**4 + 63*u**3 + 147*u**2 - 207*u = 0.
-3, 0, 1, 23
Find s such that 2*s**2 + 55584*s + 444544 = 0.
-27784, -8
Factor -3*x**3 + 3540*x**2 + 238659*x + 235116.
-3*(x - 1244)*(x + 1)*(x + 63)
Determine w, given that -w**2/2 - 8051*w/2 - 12072 = 0.
-8048, -3
Determine h, given that 2*h**5/23 + 3288*h**4/23 + 1341456*h**3/23 - 8157580*h**2/23 + 4116750*h/23 + 13612500/23 = 0.
-825, -1, 2, 5
Find i such that 4*i**2 - 222432*i - 444880 = 0.
-2, 55610
Let 4*t**3 - 592*t**2 - 12096*t + 3172608 = 0. Calculate t.
-68, 108
Find h such that -9*h**2 - 2292*h + 3072 = 0.
-256, 4/3
Factor n**3 + 191*n**2 - 22114*n - 22304.
(n - 82)*(n + 1)*(n + 272)
Factor p**4/3 + 49*p**3/3 - 209*p**2/3 + 53*p.
p*(p - 3)*(p - 1)*(p + 53)/3
Factor 4*g**3 + 24*g**2 - 6540*g + 6512.
4*(g - 37)*(g - 1)*(g + 44)
Suppose z**4/8 - 75*z**3/4 - 351*z**2 - 2581*z/4 - 2505/8 = 0. What is z?
-15, -1, 167
Factor 3*n**3/4 - 131*n**2/4 - 155*n - 48.
(n - 48)*(n + 4)*(3*n + 1)/4
Factor 5*w**3 + 1530*w**2 + 154560*w + 5163040.
5*(w + 92)**2*(w + 122)
Let 5*r**4 - 675*r**3 - 16615*r**2 - 102285*r - 86350 = 0. Calculate r.
-11, -10, -1, 157
Factor -4*n**3/7 + 16*n**2 + 17108*n + 993720.
-4*(n - 210)*(n + 91)**2/7
Factor 3*k**4 + 270*k**3 + 6579*k**2 + 22188*k.
3*k*(k + 4)*(k + 43)**2
Factor -5*a**4 + 27250*a**3 - 37100865*a**2 - 74283500*a - 37155380.
-5*(a - 2726)**2*(a + 1)**2
Determine s, given that -6*s**5 + 643*s**4 - 2578*s**3 + 305*s**2 + 412*s = 0.
-1/3, 0, 1/2, 4, 103
Factor 5*f**2 + 33060*f - 99225.
5*(f - 3)*(f + 6615)
What is m in -m**4 - 616*m**3 + 8165*m**2 - 7548*m = 0?
-629, 0, 1, 12
What is m in -24*m**5/7 - 501*m**4/7 + 969*m**3 + 6360*m**2/7 - 900*m/7 = 0?
-30, -1, 0, 1/8, 10
Solve y**4/6 + 161*y**3 + 3505*y**2/2 + 4775*y/3 = 0.
-955, -10, -1, 0
Suppose 316*h**5/3 + 4519*h**4/3 + 18082*h**3/3 + 17731*h**2/3 + 4012*h/3 + 160/3 = 0. What is h?
-8, -5, -1, -1/4, -4/79
What is j in -j**2/4 + 475*j/4 + 1687/2 = 0?
-7, 482
Let -14*t**5/9 + 118*t**4/3 - 1052*t**3/9 + 296*t**2/3 - 176*t/9 = 0. What is t?
0, 2/7, 1, 2, 22
Find f such that f**5/2 + 67*f**4/2 + 371*f**3/2 + 305*f**2/2 = 0.
-61, -5, -1, 0
Factor 5*h**4/2 - 810*h**3 + 81595*h**2 - 2589570*h + 51104045/2.
5*(h - 139)**2*(h - 23)**2/2
Factor 23*b**3 - 518*b**2 - 541*b.
b*(b + 1)*(23*b - 541)
Suppose -2*x**4 - 246*x**3 - 2008*x**2 + 5016*x = 0. Calculate x.
-114, -11, 0, 2
Solve -2*c**2/7 - 361160*c/7 - 16304568200/7 = 0 for c.
-90290
Find d, given that 2*d**2/3 + 860*d = 0.
-1290, 0
Solve 328*s**4 + 2627*s**3/4 + 659*s**2/2 + 3*s/4 = 0 for s.
-1, -3/1312, 0
Factor c**2/7 - 6046*c/7 - 18147/7.
(c - 6049)*(c + 3)/7
Factor 5*f**2 - 11795*f + 47100.
5*(f - 2355)*(f - 4)
Factor p**3/2 - 400*p**2 + 7925*p/2 - 9875.
(p - 790)*(p - 5)**2/2
Let 3*s**3/2 + 1488*s**2 + 5931*s/2 - 4455 = 0. Calculate s.
-990, -3, 1
Factor -2*d**2/5 + 188*d + 7648/5.
-2*(d - 478)*(d + 8)/5
Let 3*a**3 - 165*a**2 + 1872*a = 0. What is a?
0, 16, 39
Factor 32*y**2 - 73276*y - 73308.
4*(y + 1)*(8*y - 18327)
Solve 5*n**2 + 29450*n + 29445 = 0.
-5889, -1
Suppose 2*m**3 + 257094*m**2 + 514182*m + 257090 = 0. Calculate m.
-128545, -1
Factor 1058*m**5 + 4048*m**4 - 728*m**3 + 32*m**2.
2*m**2*(m + 4)*(23*m - 2)**2
Find d, given that -d**3/2 - 19*d**2/2 + 477*d/2 + 495/2 = 0.
-33, -1, 15
Determine r so that 112*r**4 - 2015*r**3 + 3230*r**2 + 5405*r + 48 = 0.
-1, -1/112, 3, 16
Let 3*l**3 - 231*l**2 - 3918*l + 8736 = 0. Calculate l.
-16, 2, 91
Factor 9*u**2 + 452*u.
u*(9*u + 452)
Solve h**5 - 594*h**4 - 599*h**3 + 2376*h**2 