20
Factor -2*s**3/13 + 24042*s**2/13 - 48076*s/13.
-2*s*(s - 12019)*(s - 2)/13
Solve -5*l**4 + 150*l**3 - 405*l**2 - 21600*l + 162000 = 0.
-12, 12, 15
Factor -2*i**3 - 6198*i**2 + 2*i + 6198.
-2*(i - 1)*(i + 1)*(i + 3099)
Suppose q**3/2 + 125*q**2/2 + 943*q/2 + 819/2 = 0. Calculate q.
-117, -7, -1
Factor 2*a**3/7 - 17184*a**2/7 + 36928410*a/7 - 73788100/7.
2*(a - 4295)**2*(a - 2)/7
Factor -i**3 - 1921*i**2 - 921599*i + 923521.
-(i - 1)*(i + 961)**2
Let 2*q**3/15 + 1136*q**2/5 - 682*q/3 = 0. Calculate q.
-1705, 0, 1
Determine a so that a**4 + 225*a**3 - 967*a**2 - 11769*a - 20610 = 0.
-229, -3, 10
Determine p so that 14*p**5 - 258*p**4 - 10806*p**3 - 16462*p**2 - 5928*p = 0.
-19, -1, -4/7, 0, 39
Determine q, given that -12*q**3 + 14066*q**2 + 35186*q/3 + 1564 = 0.
-2/3, -1/6, 1173
Suppose -m**3 + 900*m**2 + 12747*m + 44786 = 0. Calculate m.
-7, 914
Factor -3*o**3/2 + 93*o**2/2 - 435*o + 1092.
-3*(o - 14)*(o - 13)*(o - 4)/2
Determine t so that -2*t**3/11 - 5402*t**2 + 59424*t/11 = 0.
-29712, 0, 1
Let n**4 + 8*n**3 - 265*n**2 - 1904*n = 0. What is n?
-17, -7, 0, 16
Factor 4*h**3 - 5160*h**2 - 16*h + 20640.
4*(h - 1290)*(h - 2)*(h + 2)
Let -2*x**3/5 - 9368*x**2 - 274341856*x/5 - 1096618112/5 = 0. Calculate x.
-11708, -4
Find l, given that -l**2/3 - 1664*l/3 - 7700 = 0.
-1650, -14
Factor -i**2/6 - 77527*i/3.
-i*(i + 155054)/6
Factor 2*b**2 - 178*b + 1976.
2*(b - 76)*(b - 13)
Determine y so that 4*y**5 - 4388*y**4 + 1239840*y**3 - 19828800*y**2 = 0.
0, 17, 540
Determine u so that 22*u**4/7 + 1014*u**3/7 - 3098*u**2/7 + 1866*u/7 + 28 = 0.
-49, -1/11, 1, 2
Solve -b**4/3 + 3721*b**3/3 - 3719*b**2 + 11155*b/3 - 3718/3 = 0 for b.
1, 3718
Suppose -13*t**2/2 - 39041*t/2 - 3003 = 0. Calculate t.
-3003, -2/13
Find b, given that -5*b**3 + 870*b**2 + 50255*b - 214620 = 0.
-49, 4, 219
What is p in 5*p**5/3 + 27472*p**4/3 + 37686053*p**3/3 - 135960034*p**2/3 + 90727996*p/3 + 60456008/3 = 0?
-2749, -2/5, 2
Find a such that 2*a**2/3 - 108764*a/3 - 108766/3 = 0.
-1, 54383
What is f in -580*f**4 - 695*f**3 - 50*f**2 + 65*f = 0?
-1, -13/29, 0, 1/4
Factor s**4/5 - 316*s**3/5 - 1923*s**2/5 - 2898*s/5.
s*(s - 322)*(s + 3)**2/5
Solve 10*l**4/7 - 39*l**3 + 2511*l**2/7 - 8019*l/7 + 2187/7 = 0 for l.
3/10, 9
What is v in -2*v**3 - 1012*v**2 - 36346*v + 37360 = 0?
-467, -40, 1
Determine s so that 12*s**5/5 + 5343*s**4/5 + 6663*s**3/5 + 1332*s**2/5 = 0.
-444, -1, -1/4, 0
Find i, given that -20*i**5 - 292*i**4 - 780*i**3 + 260*i**2 + 1360*i - 528 = 0.
-11, -3, -2, 2/5, 1
Determine p, given that p**3/2 - 36231*p**2/2 + 328189455*p/2 - 328153225/2 = 0.
1, 18115
Let x**3/4 + 63*x**2/4 + 959*x/4 - 1023/4 = 0. What is x?
-33, -31, 1
Suppose -2*o**2/3 + 194*o/3 - 1200 = 0. What is o?
25, 72
Suppose b**3 - 8*b**2 - 131*b + 858 = 0. Calculate b.
-11, 6, 13
Determine z, given that -192*z**4 - 63776*z**3 - 4585452*z**2 - 96075744*z - 62031376 = 0.
-242, -179/4, -2/3
Find x such that x**2 + 262469*x + 787398 = 0.
-262466, -3
Solve -12*m**2 - 1557*m - 44226 = 0.
-351/4, -42
Factor -p**2/4 + 53997*p/4.
-p*(p - 53997)/4
Factor 288*n**4 + 572*n**3 - 8*n**2.
4*n**2*(n + 2)*(72*n - 1)
Factor 2*v**3/17 - 2382*v/17 - 140.
2*(v - 35)*(v + 1)*(v + 34)/17
Factor -w**3/6 - 10*w**2 - 86*w - 400/3.
-(w + 2)*(w + 8)*(w + 50)/6
Suppose -187850*b**4 + 2042210*b**3 + 269956*b**2 - 48000*b - 6336 = 0. Calculate b.
-12/85, 2/13, 11
Solve 5*x**4 + 4740*x**3 + 42355*x**2 + 93960*x + 56340 = 0 for x.
-939, -6, -2, -1
Factor -4*w**3/7 - 464*w**2 - 19380*w/7 - 29016/7.
-4*(w + 3)**2*(w + 806)/7
Factor 4*f**3 - 56068*f**2 - 224320*f - 224336.
4*(f - 14021)*(f + 2)**2
Suppose 2*h**3/11 - 24*h**2/11 - 362*h/11 - 336/11 = 0. Calculate h.
-8, -1, 21
Solve 3*a**2 - 381*a - 15264 = 0.
-32, 159
Determine i, given that i**5/7 + i**4 - 179*i**3/7 - 1199*i**2/7 + 1690*i/7 + 2704/7 = 0.
-13, -8, -1, 2, 13
Factor -2*o**3/7 - 326*o**2/7 + 67920*o/7.
-2*o*(o - 120)*(o + 283)/7
Factor -5*l**2 - 1770*l + 87560.
-5*(l - 44)*(l + 398)
What is j in -2*j**2 + 434*j - 2940 = 0?
7, 210
Factor -f**2/10 + 252452*f/5 - 31866006152/5.
-(f - 252452)**2/10
Determine c so that -c**3/6 - 733*c**2/6 + 1472*c/3 - 1474/3 = 0.
-737, 2
Factor -4*f**3 - 636*f**2 - 33660*f - 593028.
-4*(f + 51)**2*(f + 57)
Suppose v**5/4 - 41*v**4/2 - 309*v**3/2 - 113*v**2 + 617*v/4 + 267/2 = 0. Calculate v.
-6, -1, 1, 89
Find u such that -u**4 - 362*u**3 - 3543*u**2 - 8110*u - 4928 = 0.
-352, -7, -2, -1
Factor -3*f**3/4 - 1107*f**2/4 - 276*f.
-3*f*(f + 1)*(f + 368)/4
Suppose -324*c**5 + 926*c**4 + 138*c**3 - 1296*c**2 - 184*c = 0. Calculate c.
-1, -23/162, 0, 2
What is t in 2*t**2/15 + 112268*t/5 + 4726538934/5 = 0?
-84201
Let -3*v**5/4 + 369*v**4/4 + 1203*v**3/4 - 8793*v**2/4 + 3129*v - 1323 = 0. Calculate v.
-7, 1, 2, 126
Solve -3746*v**2/3 + 7489*v/3 + 2 = 0.
-3/3746, 2
Factor 3*h**2/7 - 279*h - 415740/7.
3*(h - 820)*(h + 169)/7
Factor p**2/2 - 20374*p + 207549938.
(p - 20374)**2/2
Let -29*a**5/6 + 88*a**4/3 + 2395*a**3/6 - 9827*a**2/3 + 14882*a/3 - 980/3 = 0. What is a?
-10, 2/29, 2, 7
What is v in -3*v**3/2 - 144*v**2 - 6657*v/2 - 3186 = 0?
-59, -36, -1
Let -2*h**3 - 8*h**2 + 134*h - 220 = 0. What is h?
-11, 2, 5
Factor u**4 + 253*u**3 + 14364*u**2 + 14112*u.
u*(u + 1)*(u + 84)*(u + 168)
Factor -i**2 - 333*i + 1348.
-(i - 4)*(i + 337)
Factor -g**3/5 - 10124*g**2/5 - 44473*g - 1222342/5.
-(g + 11)**2*(g + 10102)/5
Factor 36*a**3 - 46000*a**2 - 10224*a.
4*a*(a - 1278)*(9*a + 2)
Determine c so that -c**5/2 + 85*c**4/2 + 1451*c**3/2 + 4915*c**2/2 - 725*c - 2500 = 0.
-10, -5, -1, 1, 100
Factor -b**3/7 - 3170*b**2/7 + 6343*b/7 - 3172/7.
-(b - 1)**2*(b + 3172)/7
Factor -17787*f**2 - 3080*f - 400/3.
-(231*f + 20)**2/3
Factor a**3/3 + 6958*a**2 + 27828*a + 83480/3.
(a + 2)**2*(a + 20870)/3
Suppose s**2/5 + 558424*s/5 + 77959340944/5 = 0. What is s?
-279212
Let -r**2 + 9716*r - 9715 = 0. What is r?
1, 9715
Suppose 2*y**4/11 - 14*y**3/11 - 2220*y**2/11 + 25200*y/11 = 0. Calculate y.
-35, 0, 12, 30
Factor -k**2/4 - 289977*k/4.
-k*(k + 289977)/4
Factor 2*p**3 + 326*p**2 - 1778*p - 73814.
2*(p - 17)*(p + 13)*(p + 167)
Determine f so that -f**5 - 117*f**4 - 3801*f**3 - 21835*f**2 - 18150*f = 0.
-55, -6, -1, 0
Let -4*v**4 + 1216*v**3 - 92352*v**2 - 19456*v + 1478656 = 0. Calculate v.
-4, 4, 152
Factor -m**3 - 23645*m**2.
-m**2*(m + 23645)
Let -196*g**4 + 56364*g**3 + 24288*g**2 - 27664*g + 4608 = 0. Calculate g.
-1, 2/7, 288
Solve -o**3/2 - 13025*o**2 + 156327*o/2 - 117252 = 0.
-26056, 3
Factor -4*c**2 - 191624*c - 2294984836.
-4*(c + 23953)**2
Let 3*q**5 - 2826*q**4 + 881655*q**3 - 89285484*q**2 - 563487408*q - 473317440 = 0. What is q?
-5, -1, 316
Determine s so that -s**5/4 - 153*s**4/2 + 3139*s**3/4 - 1660*s**2 - 309*s + 2212 = 0.
-316, -1, 2, 7
What is h in -h**5/4 - 67*h**4/2 + 68*h**3 - h**2/2 - 271*h/4 + 34 = 0?
-136, -1, 1
Factor i**3/3 + 217*i**2 - 1752*i + 10544/3.
(i - 4)**2*(i + 659)/3
Factor 5*b**3 + 340*b**2 - 14295*b + 39690.
5*(b - 27)*(b - 3)*(b + 98)
Let 2*j**2/5 + 930*j + 4640 = 0. What is j?
-2320, -5
Determine y, given that -20*y**2 - 22525*y - 5630 = 0.
-1126, -1/4
Solve -12*i**2 - 15068*i + 20112 = 0.
-1257, 4/3
Let 69*c**5/2 - 19050*c**4 + 2631384*c**3 - 457056*c**2 = 0. Calculate c.
0, 4/23, 276
Factor 9252*x**2 - 1017728*x + 880.
4*(x - 110)*(2313*x - 2)
Determine f, given that -28*f**3/3 - 114164*f**2/9 + 34456*f/3 + 10880/9 = 0.
-1360, -2/21, 1
Factor 3*h**2/8 - 29319*h/8 + 7329/2.
3*(h - 9772)*(h - 1)/8
Factor 4*p**5 + 1412*p**4 + 143052*p**3 + 755084*p**2 - 359694560*p.
4*p*(p - 40)*(p + 131)**3
Factor 2*t**3 - 14142*t**2 - 113264*t.
2*t*(t - 7079)*(t + 8)
Factor -2*g**3/13 + 1550*g**2/13 - 246176*g/13 + 11121432/13.
-2*(g - 579)*(g - 98)**2/13
Determine w, given that 46*w**2/3 - 1483*w - 1261/3 = 0.
-13/46, 97
Factor -4*k**3 + 224*k**2 + 6028*k + 33880.
-4*(k - 77)*(k + 10)*(k + 11)
Determine t so that -3*t**5 - 141*t**4 + 618*t**3 + 270*t**2 - 1863*t - 1377 = 0.
-51, -1, 3
Suppose -2*x**5 - 2*x**4 + 62*x**3 + 50*x**2 - 300*x = 0. Calculate x.
-5, -3, 0, 2, 5
Solve s**2/4 + 1859*s/2 = 0 for s.
-3718, 0
Suppose -4*i**2 - 3220*i + 12944 = 0. What is i?
-809, 4
Factor 2*r**4/11 + 136492*r**3/11.
2*r**3*(r + 68246)/11
Factor 3*m**2/7 - 255*m/7 + 594.
3*(m - 63)*(m - 22)/7
Factor -2*a**3/7 - 412*a**2/7 - 1210*a/7 + 232.
-2*(a - 1)*(a + 4)*(a + 