3/10 + q**2/5 - 43*q/10 + 4 = 0.
-8, 1, 5
Factor 11870*o**3 + 118705*o**2 + 296800*o + 125.
5*(o + 5)**2*(2374*o + 1)
Factor 21*v**4/4 - 47055*v**3/4 + 35141121*v**2/4 - 8743443021*v/4 - 1250498169/2.
3*(v - 747)**3*(7*v + 2)/4
Factor 2*g**2/17 + 2658*g/17 - 2660/17.
2*(g - 1)*(g + 1330)/17
Solve 2*x**2/7 - 316350*x/7 + 632692/7 = 0 for x.
2, 158173
Suppose 40*w**2 + 485*w + 1095 = 0. Calculate w.
-73/8, -3
Find h such that 3*h**3 + 30*h**2 - 24*h - 576 = 0.
-8, -6, 4
Find d, given that 3*d**4/7 + 774*d**3/7 - 2361*d**2/7 - 3132*d/7 = 0.
-261, -1, 0, 4
Factor -2*n**3/21 - 382*n**2/21 + 806*n/3 - 2870/3.
-2*(n - 7)**2*(n + 205)/21
Determine w so that 226*w**3 + 704*w**2 + 104*w - 800 = 0.
-2, 100/113
Let 5*u**2 - 9330*u = 0. Calculate u.
0, 1866
Let 2*r**3/7 - 11562*r**2/7 - 1652*r = 0. Calculate r.
-1, 0, 5782
Find q, given that -6*q**5 + 81*q**4 + 456*q**3 - 1629*q**2 - 918*q = 0.
-6, -1/2, 0, 3, 17
Suppose 4*r**5 - 2836*r**4 + 11292*r**3 - 8460*r**2 = 0. Calculate r.
0, 1, 3, 705
Factor -3*t**4 + 294*t**3 + 14472*t**2.
-3*t**2*(t - 134)*(t + 36)
Factor z**2/5 - 12*z + 539/5.
(z - 49)*(z - 11)/5
Factor 5*r**2/3 + 22075*r/3 - 176920/3.
5*(r - 8)*(r + 4423)/3
Solve -g**2/6 + 7194*g - 77630454 = 0 for g.
21582
Let 156*w**5/7 - 268*w**4 + 452*w**3 + 276*w**2/7 - 3320*w/7 + 1600/7 = 0. Calculate w.
-1, 1, 40/39, 10
Solve -3*p**2/7 - 14034*p/7 + 14037/7 = 0 for p.
-4679, 1
Suppose -2*v**3/5 - 646*v**2/5 + 1332*v = 0. What is v?
-333, 0, 10
Suppose -a**2/10 - 21036*a/5 - 221256648/5 = 0. What is a?
-21036
Factor 2*o**4/11 - 1680*o**3/11 + 370796*o**2/11 - 687120*o + 3680182.
2*(o - 409)**2*(o - 11)**2/11
Factor -4*d**3/9 + 56*d**2/3 - 1916*d/9 + 1064/3.
-4*(d - 21)*(d - 19)*(d - 2)/9
Factor -2*y**3 + 614*y**2 + 39098*y - 39710.
-2*(y - 361)*(y - 1)*(y + 55)
Factor -r**2/7 + 202*r/7 + 5424/7.
-(r - 226)*(r + 24)/7
Solve w**4 - 686*w**3 - 5532*w**2 - 13864*w - 11104 = 0.
-4, -2, 694
Factor -5*r**3 - 6330*r**2 - 31525*r.
-5*r*(r + 5)*(r + 1261)
Factor 5*r**5 - 161575*r**4 + 1305566375*r**3 - 3915729725*r**2 + 3915406600*r - 1305081680.
5*(r - 16156)**2*(r - 1)**3
Suppose 75*k**4/2 + 39*k**3 - 147*k**2/2 - 3*k = 0. Calculate k.
-2, -1/25, 0, 1
Suppose -1512*q**4 + 150740*q**3 - 534616*q**2 - 175840*q - 3072 = 0. Calculate q.
-2/7, -1/54, 4, 96
Factor r**3/7 - 467*r**2/7 + 2771*r/7 - 2305/7.
(r - 461)*(r - 5)*(r - 1)/7
What is s in 3*s**5 - 627*s**4/7 - 10443*s**3/7 - 11181*s**2/7 - 198*s = 0?
-11, -1, -1/7, 0, 42
Factor -2*u**3/13 - 64758*u**2/13 - 524037888*u/13 + 2621808640/13.
-2*(u - 5)*(u + 16192)**2/13
Factor 3*x**3/7 - 8535*x**2/7 + 8514*x.
3*x*(x - 2838)*(x - 7)/7
Factor -2*r**2 - 17004*r.
-2*r*(r + 8502)
What is k in 4*k**5 - 160*k**4 + 2096*k**3 - 8960*k**2 = 0?
0, 10, 14, 16
Factor -2*a**2 + 744*a - 44104.
-2*(a - 298)*(a - 74)
Let 4*a**2 + 59652*a - 298360 = 0. Calculate a.
-14918, 5
Factor 2*j**3/9 + 4718*j**2/9 + 37616*j/9.
2*j*(j + 8)*(j + 2351)/9
Let 4*o**2 - 11058*o + 5528 = 0. What is o?
1/2, 2764
Suppose 5*x**5 + 220*x**4 - 106480*x**2 - 1171280*x = 0. Calculate x.
-22, 0, 22
Find i, given that 2*i**4 - 1948*i**3 + 28798*i**2 - 26852*i = 0.
0, 1, 14, 959
Let -j**2/5 + 1892*j/5 - 1891/5 = 0. What is j?
1, 1891
Let 4*p**3/5 + 394*p**2/5 + 4776*p/5 - 8064/5 = 0. Calculate p.
-84, -16, 3/2
Find b, given that 2028*b**4/5 - 61308*b**3/5 + 72879*b**2/5 - 14382*b/5 + 783/5 = 0.
3/26, 1, 29
Factor -7*x**2/2 - 33*x - 27/2.
-(x + 9)*(7*x + 3)/2
What is x in 2*x**2 - 2110*x - 27768 = 0?
-13, 1068
Let 5*h**5 - 265*h**4 + 435*h**3 + 3825*h**2 = 0. What is h?
-3, 0, 5, 51
Factor -4*n**3 - 744*n**2 + 15508*n - 14760.
-4*(n - 18)*(n - 1)*(n + 205)
Suppose 5*x**4 - 300*x**3 - 305*x**2 = 0. Calculate x.
-1, 0, 61
What is w in -2*w**3 + 25516*w**2 + 357616*w = 0?
-14, 0, 12772
Solve 5*y**2/2 - 9415*y/2 + 9405 = 0.
2, 1881
Suppose -5*g**3 - 1455*g**2 - 1440*g + 2900 = 0. What is g?
-290, -2, 1
Determine t so that t**2 - 977030*t + 238646905225 = 0.
488515
Factor 3*l**2/8 + 76131*l/4 - 38067.
3*(l - 2)*(l + 50756)/8
Solve -4*s**2/3 + 2620*s - 15704/3 = 0.
2, 1963
Factor -f**4/5 - 5457*f**3 - 248102481*f**2/5 - 751336358311*f/5 + 4516955734038/5.
-(f - 6)*(f + 9097)**3/5
Factor -3*i**3 - 447*i**2 + 1515*i + 1621959.
-3*(i - 53)*(i + 101)**2
Suppose -w**3 + 8895*w**2 + 8896*w = 0. What is w?
-1, 0, 8896
Find m, given that -3*m**4/7 - 108*m**3/7 + 1503*m**2/7 - 2508*m/7 - 1692 = 0.
-47, -2, 6, 7
What is p in -14641*p**4/6 + 1655159*p**3/6 - 1721839*p**2/6 + 27443*p/2 - 168 = 0?
3/121, 1, 112
Factor 3*m**3 + 204*m**2 - 24951*m - 25152.
3*(m - 64)*(m + 1)*(m + 131)
Factor -16*y**4 - 876*y**3 - 11684*y**2.
-4*y**2*(y + 23)*(4*y + 127)
Factor -2*c**2/5 + 5396*c/5 - 45666.
-2*(c - 2655)*(c - 43)/5
Let 5*q**4 - 4345*q**3 + 1322685*q**2 - 157628835*q + 5086604250 = 0. What is q?
50, 273
Suppose -4*l**3 - 228*l**2 + 28692*l - 464940 = 0. What is l?
-123, 21, 45
Suppose -f**4/2 - 195*f**3 + 2365*f**2/2 - 2175*f + 1188 = 0. What is f?
-396, 1, 2, 3
Solve 3*f**2/7 + 255*f/7 + 5328/7 = 0 for f.
-48, -37
Factor 2*t**2 + 5207*t/3 - 5213/3.
(t - 1)*(6*t + 5213)/3
Factor -2*h**3 + 1178*h**2 + 1180*h.
-2*h*(h - 590)*(h + 1)
What is f in 2*f**3/11 - 24*f**2 + 7630*f/11 + 67032/11 = 0?
-7, 63, 76
Suppose z**5/6 + 154*z**4/3 + 101*z**3/2 - 616*z**2/3 - 614*z/3 = 0. What is z?
-307, -2, -1, 0, 2
Factor -2*d**2 - 8814*d - 17620.
-2*(d + 2)*(d + 4405)
Factor -21*w**2/4 + 1221*w/2 - 3105/4.
-3*(w - 115)*(7*w - 9)/4
Factor 2*v**3/3 + 212*v**2/3 + 2086*v + 18816.
2*(v + 21)**2*(v + 64)/3
Determine p so that -p**5 + 153*p**4 - 4137*p**3 - 8737*p**2 - 4446*p = 0.
-1, 0, 38, 117
Solve -2*d**4 + 1459*d**3/2 + 69265*d**2/2 - 46331275*d/2 - 11587125/2 = 0.
-165, -1/4, 265
Let -2*d**3/3 - 1964*d**2/3 + 38078*d/3 + 40040/3 = 0. Calculate d.
-1001, -1, 20
Find q, given that -q**4 + 12*q**3 - 2*q**2 - 204*q - 189 = 0.
-3, -1, 7, 9
Factor 4*r**3 + 2176*r**2 - 4364*r + 2184.
4*(r - 1)**2*(r + 546)
Solve -20*r**4 + 72*r**3 + 1652*r**2 - 5832*r - 2592 = 0.
-9, -2/5, 4, 9
Suppose -3*w**5/8 - 21*w**4/8 + 165*w**3/8 + 381*w**2/8 + 99*w/4 = 0. What is w?
-11, -1, 0, 6
Suppose -14*o**3 + 236806*o**2 - 169136*o - 67656 = 0. What is o?
-2/7, 1, 16914
Factor -r**2 - 7590*r.
-r*(r + 7590)
Factor -2*x**3/5 + 1486*x**2/5 - 1484*x/5.
-2*x*(x - 742)*(x - 1)/5
Factor -h**4/2 + 58*h**3 - 2327*h**2 + 37410*h - 416025/2.
-(h - 43)**2*(h - 15)**2/2
Let a**3 - 1307*a**2 - 6574*a + 18368 = 0. What is a?
-7, 2, 1312
Factor -2*j**2/5 + 2622*j/5 - 10456/5.
-2*(j - 1307)*(j - 4)/5
Determine x, given that 4*x**4/7 - 103*x**3/7 + 787*x**2/7 - 1878*x/7 + 144 = 0.
3/4, 3, 8, 14
Factor -s**3 - 6945*s**2 + 13893*s - 6947.
-(s - 1)**2*(s + 6947)
Suppose -4*s**5 - 408*s**4 - 3456*s**3 - 10168*s**2 - 11580*s - 4464 = 0. Calculate s.
-93, -4, -3, -1
Let 8*u**4/11 + 538*u**3/11 - 7360*u**2/11 + 474*u = 0. Calculate u.
-79, 0, 3/4, 11
What is s in -4*s**4/3 + 2240*s**3/3 - 368248*s**2/3 + 5100480*s - 62216748 = 0?
27, 253
Determine t, given that -10*t**4/3 - 1139*t**3/6 + 203*t**2 - t/6 - 29/3 = 0.
-58, -1/5, 1/4, 1
Solve 2*f**5/15 + 4*f**4/15 - 26*f**3/5 - 304*f**2/15 - 224*f/15 = 0 for f.
-4, -1, 0, 7
Factor -2*k**2/9 + 7797424*k/9 - 7599977629472/9.
-2*(k - 1949356)**2/9
Factor -3*i**4 + 321*i**3 - 2397*i**2 + 2079*i.
-3*i*(i - 99)*(i - 7)*(i - 1)
Determine o, given that -4*o**4 + 244*o**2 - 672*o + 432 = 0.
-9, 1, 2, 6
Determine k so that -5*k**2 - 81780*k - 327040 = 0.
-16352, -4
Factor 5*d**3 + 1127*d**2 + 13416*d/5 + 8028/5.
(d + 223)*(5*d + 6)**2/5
Factor -4*u**3 - 12188*u**2 + 36592*u - 24400.
-4*(u - 2)*(u - 1)*(u + 3050)
Let -35*f**4 - 5580*f**3 - 23435*f**2 + 91170*f - 43400 = 0. Calculate f.
-155, -7, 4/7, 2
Solve -n**2 - 1891*n + 11382 = 0 for n.
-1897, 6
Factor 5*m**3 + 155*m**2 - 680*m + 700.
5*(m - 2)**2*(m + 35)
Solve 3*v**5 + 186*v**4 - 588*v**3 - 186*v**2 + 585*v = 0.
-65, -1, 0, 1, 3
Solve 35*b**2/2 + 10665*b - 21400 = 0.
-4280/7, 2
What is g in -15*g**5/4 - 835*g**4/4 - 2765*g**3 - 3915*g**2 + 1620*g = 0?
-36, -18, -2, 0, 1/3
Factor -2*s**5/3 - 49834*s**4/3 - 49830*s**3 - 149486*s**2/3 - 49828*s/3.
-2*s*(s + 1)**3*(s + 24914)/3
Factor -2*h**2/11 + 450066*h/11 + 900140/11.
-2*(h - 225035)*(h + 2)/11
Factor -401*o**2 - 321*o + 80.
-(o + 1)*(401*o - 80)
Factor d**2/6 - 105811*d/3 + 70540.
(d - 211620)*(d - 2)/