241257*m**4/4 + 1047593094449*m**3/2 + 368323263*m**2 + 172719*m/2 + 27/4.
(m + 1)*(12793*m + 3)**3/4
Solve 4*n**3 + 788*n**2 + 7576*n + 17952 = 0.
-187, -6, -4
What is z in -z**4/9 - 22*z**3/3 - 419*z**2/9 - 118*z/3 = 0?
-59, -6, -1, 0
Let y**5 + 93*y**4 - 1213*y**3 + 4875*y**2 - 6300*y = 0. What is y?
-105, 0, 3, 4, 5
Let d**2 - 16622*d + 69072721 = 0. What is d?
8311
Find r, given that 107*r**5/9 + 854*r**4/9 + 2552*r**3/9 + 3376*r**2/9 + 1648*r/9 - 32/9 = 0.
-2, 2/107
What is x in -5*x**2 + 14890*x = 0?
0, 2978
Let 3*z**3 + 366*z**2 + 10587*z - 35136 = 0. What is z?
-64, -61, 3
Let 2*m**4/3 + 106*m**3 + 206*m**2 - 1582*m/3 - 628 = 0. Calculate m.
-157, -3, -1, 2
Let -5*t**2 + 1710*t + 78515 = 0. What is t?
-41, 383
Let o**3/9 - 2195*o**2/3 - 732*o + 13172/9 = 0. Calculate o.
-2, 1, 6586
Factor -2*g**3 + 32*g**2 + 410*g - 2024.
-2*(g - 23)*(g - 4)*(g + 11)
What is v in 3*v**3/4 + 1236*v**2 + 2643543*v/4 + 226618155/2 = 0?
-639, -370
Factor 2*z**2/3 - 2678*z/3.
2*z*(z - 1339)/3
Factor u**5/5 + 302*u**4/5 + 7668*u**3/5 + 67554*u**2/5 + 40095*u.
u*(u + 9)**3*(u + 275)/5
Factor o**2/2 - 39828*o + 793134792.
(o - 39828)**2/2
Suppose -x**4/3 + 17*x**3/3 - 29*x**2 + 45*x = 0. Calculate x.
0, 3, 5, 9
What is f in -4*f**3 + 1444*f**2 + 16*f - 5776 = 0?
-2, 2, 361
Factor 5*k**4 + 269*k**3 - 6432*k**2 + 41024*k - 74752.
(k - 8)**2*(k + 73)*(5*k - 16)
Find r, given that -9*r**5 - 996*r**4 - 627*r**3 + 3636*r**2 + 636*r - 2640 = 0.
-110, -2, -1, 1, 4/3
Factor -2*c**3/3 + 11174*c**2/3 + 7452*c.
-2*c*(c - 5589)*(c + 2)/3
Determine n so that -12*n**4 + 252380*n**3 - 420604*n**2 + 84116*n + 84120 = 0.
-1/3, 1, 21030
Factor -w**2/6 - 197*w/6 + 505/3.
-(w - 5)*(w + 202)/6
Let 100*v**5 + 6455*v**4 + 15280*v**3 - 32665*v**2 + 12070*v - 1240 = 0. Calculate v.
-62, -4, 1/5, 1/4, 1
Factor -s**3/7 + 1172*s**2/7 - 18560*s/7 + 73984/7.
-(s - 1156)*(s - 8)**2/7
Determine g so that -g**4/4 - 45*g**3 - 88*g**2 + 180*g + 356 = 0.
-178, -2, 2
Suppose -2*r**5 - 30*r**4 + 18*r**3 + 1566*r**2 + 1944*r - 17496 = 0. Calculate r.
-9, -6, 3, 6
Factor v**4/4 + 2227*v**3/2 + 4959529*v**2/4.
v**2*(v + 2227)**2/4
Let -2*y**2/3 - 577123*y/3 + 288562/3 = 0. Calculate y.
-288562, 1/2
What is g in -2*g**3/5 + 10*g**2 + 18*g/5 - 90 = 0?
-3, 3, 25
Factor -2*u**2/11 + 338*u/11 + 5124/11.
-2*(u - 183)*(u + 14)/11
Suppose 5*i**3 - 12215*i**2 - 295925*i - 283705 = 0. What is i?
-23, -1, 2467
Solve -96*y**4 - 1188*y**3 + 3651*y**2 - 1917*y + 270 = 0.
-15, 1/4, 3/8, 2
Solve -2*f**2/13 + 1502*f/13 - 269040/13 = 0 for f.
295, 456
Determine w, given that -3*w**4 + 135477*w**3 + 406449*w**2 + 406455*w + 135486 = 0.
-1, 45162
Factor 4*i**2 + 7944*i - 1419660.
4*(i - 165)*(i + 2151)
Let -126243507*m**4 + 1135490967*m**3 - 1003643664*m**2 - 5596020*m - 7776 = 0. What is m?
-18/6487, 1, 8
Factor -5*t**2/3 + 668870*t/3 - 22369353845/3.
-5*(t - 66887)**2/3
Suppose -36*j**5 + 107828*j**4 - 80700176*j**3 - 63071808*j**2 + 179568256*j - 35904064 = 0. Calculate j.
-2, 2/9, 1, 1498
Factor 3*t**3/2 - 1179*t**2 + 36576*t - 289536.
3*(t - 754)*(t - 16)**2/2
Factor i**4 + 3504*i**3 + 2995038*i**2 - 130464432*i + 1386296289.
(i - 21)**2*(i + 1773)**2
Find n such that 245*n**3/3 - 8176*n**2/3 - 13943*n/3 - 770/3 = 0.
-11/7, -2/35, 35
Determine t, given that 2*t**3/7 - 58206*t**2/7 - 58220*t = 0.
-7, 0, 29110
Factor a**4 + 4290*a**3 + 8577*a**2 + 4288*a.
a*(a + 1)**2*(a + 4288)
Factor -2*w**2/3 - 116240*w/3 - 1688967200/3.
-2*(w + 29060)**2/3
Solve -3*f**2/5 + 32283*f/5 = 0.
0, 10761
Factor -4*i**3 - 928*i**2 - 3660*i - 2736.
-4*(i + 1)*(i + 3)*(i + 228)
Determine j so that -2*j**4/7 - 330*j**3/7 + 2042*j**2/7 - 1710*j/7 = 0.
-171, 0, 1, 5
Determine h so that -22*h**3/3 - 1754*h**2 - 294656*h/3 - 17800 = 0.
-150, -89, -2/11
Find h, given that -h**3/2 - 33*h**2 - 268*h + 672 = 0.
-56, -12, 2
Determine z so that -2*z**4/3 - 1526*z**3/3 + 1530*z**2 - 4594*z/3 + 1532/3 = 0.
-766, 1
Suppose p**4/8 + 15*p**3/8 - 27*p**2/4 - 91*p/2 - 51 = 0. What is p?
-17, -2, 6
Let -o**3/3 + 572*o**2/3 + 5391*o = 0. What is o?
-27, 0, 599
Find x such that -2*x**5/9 + 88*x**4/3 - 244*x**3/9 - 264*x**2 + 262*x = 0.
-3, 0, 1, 3, 131
Let -x**4/3 - 143*x**3/3 - 1855*x**2/3 - 2107*x = 0. What is x?
-129, -7, 0
Solve 5*r**3 + 4005*r**2 + 43500*r + 39500 = 0.
-790, -10, -1
Suppose 4*i**4 + 172*i**3 + 2460*i**2 + 13700*i + 26000 = 0. What is i?
-20, -13, -5
Find r, given that 4*r**4 + 664*r**3 - 6972*r**2 + 11936*r - 5632 = 0.
-176, 1, 8
Factor -4*y**3 + 632*y**2 - 29104*y + 416160.
-4*(y - 90)*(y - 34)**2
Factor -q**2/2 - 116501*q - 13572483001/2.
-(q + 116501)**2/2
Suppose 2*l**5/7 - 822*l**4/7 - 95982*l**3/7 - 363454*l**2 - 349860*l = 0. What is l?
-49, -1, 0, 510
Solve 8*g**5/3 - 676*g**4 + 110080*g**3/3 + 809032*g**2 - 467640*g - 1239300 = 0 for g.
-17, -1, 3/2, 135
Factor 2*x**3 + 1906*x**2 - 65076*x.
2*x*(x - 33)*(x + 986)
Determine c so that -220*c**3 + 3412*c**2 - 17688*c/5 + 1728/5 = 0.
6/55, 1, 72/5
Solve -3*n**5 + 110*n**4 - 87*n**3 - 3140*n**2 + 2100*n = 0 for n.
-5, 0, 2/3, 6, 35
Let d**2 - 208*d - 4809 = 0. Calculate d.
-21, 229
Find m such that 2*m**4 - 580*m**3 + 55906*m**2 - 1807520*m + 1752192 = 0.
1, 81, 104
Let 26455538*r**2/11 - 2618640*r/11 + 64800/11 = 0. What is r?
180/3637
Determine s, given that -5*s**4 + 260*s**3 - 4785*s**2 + 37530*s - 106920 = 0.
9, 12, 22
Factor 2*u**3/15 + 106*u**2/15 - 392*u/15 - 3136/15.
2*(u - 7)*(u + 4)*(u + 56)/15
Factor -3*a**4/7 + 806151*a**3/7 + 2418471*a**2/7 + 2418477*a/7 + 806160/7.
-3*(a - 268720)*(a + 1)**3/7
Solve 5*m**4 - 155*m**3 - 95*m**2 + 17795*m - 17550 = 0.
-10, 1, 13, 27
Suppose -q**4 - 1868*q**3 - 9318*q**2 - 5580*q + 16767 = 0. Calculate q.
-1863, -3, 1
Factor 3*l**2/8 + 72255*l/8 - 1048959/4.
3*(l - 29)*(l + 24114)/8
Factor b**2/8 + 17883*b/2 + 319801689/2.
(b + 35766)**2/8
Determine d, given that 2*d**3 - 17554*d**2 + 38840560*d - 1413170600 = 0.
37, 4370
Suppose -x**5/2 - 35*x**4/2 + 3103*x**3 + 9409*x**2 + 18883*x/2 + 6305/2 = 0. Calculate x.
-97, -1, 65
Let 5*b**3/3 + 2525*b**2/3 + 276040*b/3 - 11132720/3 = 0. Calculate b.
-268, 31
Factor 4*r**2/3 + 83064*r + 1293680268.
4*(r + 31149)**2/3
Suppose -22*k**5 - 684*k**4 - 2872*k**3 + 11568*k**2 + 11840*k - 35328 = 0. What is k?
-276/11, -8, -2, 2
Factor z**2 - 1740*z - 1741.
(z - 1741)*(z + 1)
Factor 5*h**2 - 415*h - 157920.
5*(h - 224)*(h + 141)
Let t**4/2 - 315*t**3/2 - 158*t**2 = 0. What is t?
-1, 0, 316
Solve 4*j**5 + 11583*j**4 + 8664*j**3 - 60778*j**2 + 49212*j - 8685 = 0 for j.
-2895, -3, 1/4, 1
Factor 21*x**3 - 177*x**2 + 111*x + 693.
3*(x - 7)*(x - 3)*(7*x + 11)
What is z in -5*z**3 + 190*z**2 - 2175*z + 6750 = 0?
5, 15, 18
What is g in 5*g**5 - 210*g**4 + 3160*g**3 - 20510*g**2 + 53955*g - 36400 = 0?
1, 5, 7, 13, 16
Suppose 5*z**4/4 + 1845*z**3/4 + 112595*z**2/2 + 2251920*z - 2308680 = 0. What is z?
-132, -106, 1
Factor 3*y**2/5 + 183078*y/5 + 2793129507/5.
3*(y + 30513)**2/5
Solve -4*u**4 + 432*u**3 - 5448*u**2 - 12208*u - 6324 = 0 for u.
-1, 17, 93
Suppose -4*m**5 + 564*m**4 - 25696*m**3 + 340320*m**2 + 1688000*m + 1800000 = 0. Calculate m.
-2, 45, 50
Solve 3*z**4 + 228*z**3 + 2643*z**2 + 2418*z = 0 for z.
-62, -13, -1, 0
Factor 2*i**3/3 + 122*i**2 - 892*i - 3040/3.
2*(i - 8)*(i + 1)*(i + 190)/3
What is g in 2*g**2/7 + 18888*g/7 + 44594568/7 = 0?
-4722
What is s in s**4 + 3341*s**3 - 10029*s**2 + 10031*s - 3344 = 0?
-3344, 1
Determine f, given that 3*f**4/2 - 93*f**3/2 - 399*f**2 = 0.
-7, 0, 38
Let -h**3 - 338*h**2 + 341*h + 678 = 0. What is h?
-339, -1, 2
Find g such that -50*g**2/3 + 4654*g/3 = 0.
0, 2327/25
Factor w**2/4 - 5999*w/4 - 6001/2.
(w - 6001)*(w + 2)/4
What is m in 4*m**5/3 + 316*m**4/3 + 2924*m**3 + 103012*m**2/3 + 436696*m/3 = 0?
-34, -19, -13, 0
Factor -5*d**2 + 45655*d + 45660.
-5*(d - 9132)*(d + 1)
Factor 2*h**2/9 + 108658*h/3 + 325972/9.
2*(h + 1)*(h + 162986)/9
Solve -2*h**4/17 - 406*h**3/17 - 2662*h**2/17 + 16006*h/17 - 12936/17 = 0 for h.
-196, -11, 1, 3
Let 2*s**5 + 13534*s**4 - 135468*s**3 + 487836*s**2 - 731862*s + 365958 = 0. What is s?
-6777, 1, 3
Find d, given that -3*d**4/5 + 927*d**3 + 4641*d**2/5 - 927*d - 4638/5 = 0.
-1, 1, 1546
Determine p, given that 3*p**4 - 42*p**3 - 561*p**2 + 672*p + 1188 = 0.
-9, -1, 2, 22
Find i, given that i**2/3 + 1492*i - 198880/3 = 0.
-4520, 44
S