298)*(a + 13)
Factor -3*h**3/4 - 105*h**2/4 - 189*h/4 + 297/4.
-3*(h - 1)*(h + 3)*(h + 33)/4
Factor -4*h**2/5 - 25304*h - 126516/5.
-4*(h + 1)*(h + 31629)/5
Determine k, given that 2*k**2/7 - 6534*k/7 + 52144/7 = 0.
8, 3259
Let p**2/6 - 319*p/3 - 79765/2 = 0. What is p?
-265, 903
Factor 8*v**2 - 124598*v - 31150.
2*(v - 15575)*(4*v + 1)
Factor -g**3/7 - 2311*g**2/7 + 91612*g/7 - 89300/7.
-(g - 38)*(g - 1)*(g + 2350)/7
Factor -2*c**2 + 194*c.
-2*c*(c - 97)
Factor -3*i**2 - 13605*i + 68100.
-3*(i - 5)*(i + 4540)
What is f in 4*f**2 - 132176*f + 1091905936 = 0?
16522
Factor -4*x**2 - 23220*x - 139176.
-4*(x + 6)*(x + 5799)
Let -759*o**2 + 1467*o + 1026 = 0. What is o?
-6/11, 57/23
Factor -2*i**3 - 2160*i**2 + 102534*i - 1191308.
-2*(i - 23)**2*(i + 1126)
Factor 3*f**3 - 8424*f**2 - 59097*f - 50670.
3*(f - 2815)*(f + 1)*(f + 6)
Find b such that -159*b**2 - 174743*b - 2198 = 0.
-1099, -2/159
Factor -u**4 - 2979*u**3 - 8919*u**2 + 26779*u - 14880.
-(u - 1)**2*(u + 5)*(u + 2976)
Suppose -3*v**3 + 56454*v**2 = 0. Calculate v.
0, 18818
Factor -4*z**3/3 + 218*z**2/9 - 760*z/9 - 2200/9.
-2*(z - 10)**2*(6*z + 11)/9
Factor -u**2 + 2782*u - 68925.
-(u - 2757)*(u - 25)
Factor 5*l**3 + 5380*l**2 - 10775*l + 5390.
5*(l - 1)**2*(l + 1078)
What is p in -p**5/4 + 27*p**4/2 + 473*p**3/4 + 699*p**2/2 + 431*p + 186 = 0?
-3, -2, -1, 62
Let l**2/5 - 217*l/5 - 107598/5 = 0. What is l?
-237, 454
Factor -y**3/2 - 595*y**2/2 - 3227*y - 8760.
-(y + 5)*(y + 6)*(y + 584)/2
Let 2*a**2/7 - 6954*a/7 - 1988 = 0. Calculate a.
-2, 3479
Factor 7*n**3 - 11651*n**2 + 4992*n.
n*(n - 1664)*(7*n - 3)
Determine o so that -2*o**3/5 - 1416*o**2/5 + 1710*o - 12852/5 = 0.
-714, 3
Determine t, given that -t**2/5 - 17069*t/5 = 0.
-17069, 0
Factor 3*q**5/4 + 25245*q**4/2 + 212436675*q**3/4.
3*q**3*(q + 8415)**2/4
Solve -k**3/8 + 23*k**2/8 + 211*k/2 + 440 = 0.
-16, -5, 44
Factor -2*b**4/9 - 578*b**3/9 + 1172*b**2/3 - 7064*b/9 + 4720/9.
-2*(b - 2)**3*(b + 295)/9
Find k such that 3*k**2 - 293214*k + 7164537483 = 0.
48869
Solve 7*o**4/3 + 163*o**3/3 + 258*o**2 - 1948*o/3 - 616/3 = 0 for o.
-14, -11, -2/7, 2
Find d, given that -18*d**5 + 472*d**4 - 2538*d**3 - 4212*d**2 + 33480*d + 27216 = 0.
-3, -7/9, 6, 18
Suppose 2*m**2/23 - 1952*m/23 + 468350/23 = 0. Calculate m.
425, 551
Factor -q**4 + 3209*q**3 + 12847*q**2 + 16063*q + 6426.
-(q - 3213)*(q + 1)**2*(q + 2)
Factor q**3/7 + 1086*q**2/7 - 2367*q - 59454/7.
(q - 18)*(q + 3)*(q + 1101)/7
Factor -125*b**2 + 65650*b - 8619845.
-5*(5*b - 1313)**2
What is l in -l**5 - 7198*l**4/3 + 52402*l**3 - 128268*l**2 + 326797*l/3 - 30666 = 0?
-2421, 2/3, 1, 19
Factor -5*f**4 + 4730*f**3 - 839865*f**2 - 131862940*f - 3885914420.
-5*(f - 526)**2*(f + 53)**2
Solve c**2/9 + 3005*c/9 - 334 = 0 for c.
-3006, 1
Find d, given that 115*d**2/3 - 169162*d/3 - 1471 = 0.
-3/115, 1471
Factor -3*b**3 - 1020*b**2 - 16563*b - 29070.
-3*(b + 2)*(b + 15)*(b + 323)
Solve -30*y**3 + 36567*y**2 - 32883*y - 3654 = 0.
-1/10, 1, 1218
Suppose -2*t**4/7 + 234*t**3/7 - 412*t**2 = 0. What is t?
0, 14, 103
Factor 5*k**2 - 82140*k - 82145.
5*(k - 16429)*(k + 1)
Factor g**2 + 295493*g + 886470.
(g + 3)*(g + 295490)
Solve 2*v**2/3 - 13540*v/3 - 13546 = 0 for v.
-3, 6773
Find b, given that -3*b**5/7 - 120297*b**4/7 - 1206127785*b**3/7 - 3617661603*b**2/7 - 516774432*b - 172252416 = 0.
-20048, -1
Factor 228*m**2/5 - 16*m - 752/5.
4*(m - 2)*(57*m + 94)/5
Suppose -3*x**3 - 891*x**2 + 8262*x = 0. Calculate x.
-306, 0, 9
Solve g**4/2 - 239*g**3/2 + 1349*g**2/2 + 11351*g/2 + 7689 = 0.
-3, -2, 11, 233
Factor 4*k**3/3 + 26524*k**2/3 - 97416*k.
4*k*(k - 11)*(k + 6642)/3
Find p such that 2*p**4 - 48*p**3 - 2318*p**2 - 6468*p = 0.
-22, -3, 0, 49
Factor 2*t**3 + 32170*t**2 + 129347526*t - 129379698.
2*(t - 1)*(t + 8043)**2
Factor 512*q**3 - 4960*q**2 + 14553*q/2 - 2916.
(q - 8)*(32*q - 27)**2/2
Solve -2*c**3 - 1078*c**2 - 145798*c - 144722 = 0.
-269, -1
Factor 3*o**2 - 288*o - 14256.
3*(o - 132)*(o + 36)
Let 2*z**5/3 - 820*z**4/3 + 121586*z**3/3 - 2564960*z**2 + 58706304*z = 0. What is z?
0, 69, 136
Solve 4*g**5 - 32*g**4 - 592*g**3 - 2152*g**2 - 2676*g - 1080 = 0 for g.
-5, -3, -1, 18
Factor 2*r**2/7 + 44362*r/7 - 44376.
2*(r - 7)*(r + 22188)/7
Determine g so that -2*g**4/15 + 22*g**3/5 - 8*g**2/5 - 256*g/3 = 0.
-4, 0, 5, 32
Let -5*m**2 - 236880*m = 0. What is m?
-47376, 0
Factor -2*t**3 + 74*t**2 - 134*t - 210.
-2*(t - 35)*(t - 3)*(t + 1)
Solve -5*m**2/3 + 586*m/3 - 384 = 0.
2, 576/5
Factor 4*f**2 + 99764*f.
4*f*(f + 24941)
Determine r, given that r**5/9 + 101*r**4/9 + 3047*r**3/9 + 22219*r**2/9 - 22616*r/3 - 9680 = 0.
-44, -15, -1, 3
Determine k so that k**5/6 + 16*k**4/3 + 179*k**3/6 - 202*k**2/3 - 352*k + 384 = 0.
-24, -8, -4, 1, 3
Let 5*t**3/3 + 12*t**2 - 35*t/3 - 98 = 0. What is t?
-7, -3, 14/5
Let -x**5/3 + 16*x**4/3 + 110*x**3/3 - 2800*x**2/3 + 9691*x/3 + 12584/3 = 0. What is x?
-13, -1, 8, 11
Determine p, given that 15*p**3 + 5783650*p**2 - 1927885*p = 0.
-385577, 0, 1/3
Determine t, given that -4*t**4 + 140*t**3 + 4*t**2 - 12812*t + 12672 = 0.
-9, 1, 11, 32
Factor 2*y**2 + 3042*y + 15160.
2*(y + 5)*(y + 1516)
Determine x so that -x**5/3 + 44*x**4/3 + 515*x**3/3 + 450*x**2 = 0.
-5, 0, 54
Find s, given that -s**3/3 - 13516*s**2/3 + 13519*s/3 + 27034/3 = 0.
-13517, -1, 2
Find a, given that 90399*a**2 - 180801*a + 6 = 0.
1/30133, 2
Factor -n**2/2 - 73270*n + 146541/2.
-(n - 1)*(n + 146541)/2
Factor 2*f**2/13 + 27616*f/13 - 387016/13.
2*(f - 14)*(f + 13822)/13
Solve 2*t**3/5 - 204*t**2/5 - 140616*t - 27753680 = 0.
-310, 722
Let 2*m**2/3 + 28568*m/3 + 102016328/3 = 0. Calculate m.
-7142
Factor a**4/3 - 166*a**3/3 + 965*a**2/3 - 800*a/3.
a*(a - 160)*(a - 5)*(a - 1)/3
Let 3*r**3/2 + 555*r**2/2 - 3219*r + 2940 = 0. What is r?
-196, 1, 10
Let -2*z**4/5 - 474*z**3/5 - 938*z**2/5 + 474*z/5 + 188 = 0. What is z?
-235, -2, -1, 1
Solve -s**2/3 - 137749*s/3 - 45916 = 0.
-137748, -1
Factor -6*d**2/19 - 18224*d/19 - 78858/19.
-2*(d + 3033)*(3*d + 13)/19
Factor 2*c**3 + 169872*c**2 + 3606892170*c - 7214463844.
2*(c - 2)*(c + 42469)**2
Factor -y**5 - 8*y**4 + 11*y**3 + 18*y**2.
-y**2*(y - 2)*(y + 1)*(y + 9)
Solve 85*u**5/4 + 2401*u**4/4 - 461*u**3 + 87*u**2 = 0.
-29, 0, 6/17, 2/5
Factor -s**3/8 - 7*s**2/8 + 25*s/4 + 42.
-(s - 7)*(s + 6)*(s + 8)/8
Factor -185*g**3 + 4146*g**2 - 9072*g + 3040.
-(g - 20)*(g - 2)*(185*g - 76)
Factor 3*a**3 + 49563*a**2 + 891405*a + 4010229.
3*(a + 9)**2*(a + 16503)
Solve -30*p**4 + 175*p**3 - 95*p**2 - 175*p + 125 = 0 for p.
-1, 5/6, 1, 5
Factor v**3 - 53*v**2 - 1104*v.
v*(v - 69)*(v + 16)
Factor 2*d**2/5 - 3378*d/5.
2*d*(d - 1689)/5
Solve s**2 + 4599*s + 4598 = 0.
-4598, -1
Factor 3*z**4 + 3453*z**3 + 61425*z**2 + 275319*z.
3*z*(z + 9)**2*(z + 1133)
Find c such that 4*c**3/3 - 4*c**2 - 688*c/3 + 1232 = 0.
-14, 6, 11
Solve -4*f**5 + 180*f**4 + 57012*f**3 + 1784300*f**2 - 7826784*f + 8057520 = 0.
-57, 2, 155
Solve 2*i**4 + 3456*i**3 + 423664*i**2 + 13060608*i - 27843552 = 0 for i.
-1598, -66, 2
Find x, given that -x**4 + 259*x**3 - 1020*x**2 = 0.
0, 4, 255
Suppose -5*c**2 - 120*c + 24485 = 0. Calculate c.
-83, 59
Factor 5*q**4 + 490*q**3 + 2355*q**2 + 2790*q.
5*q*(q + 2)*(q + 3)*(q + 93)
Factor -p**2 - 991*p - 5910.
-(p + 6)*(p + 985)
Solve 9*k**4 - 3081*k**3 + 338850*k**2 - 12148416*k + 4011936 = 0.
1/3, 92, 158
Find f such that -169*f**4/8 - 3185*f**3/4 - 52641*f**2/8 + 38313*f/2 + 49923/2 = 0.
-258/13, -1, 3
Suppose 5*q**3 + 90*q**2 + 145*q - 240 = 0. Calculate q.
-16, -3, 1
Factor 5*y**4 + 28420*y**3 + 53865360*y**2 + 34078742000*y + 67942249840.
5*(y + 2)*(y + 1894)**3
Suppose -2*z**3/7 - 4332*z**2/7 - 8658*z/7 - 4328/7 = 0. What is z?
-2164, -1
Factor -3*h**2/4 + 3795*h/4 - 14988.
-3*(h - 1249)*(h - 16)/4
Factor -3*q**3 + 45*q**2 + 10179*q + 184179.
-3*(q - 73)*(q + 29)**2
Suppose -4*u**3 - 267*u**2 - 1553*u + 7170 = 0. What is u?
-239/4, -10, 3
Factor 3*y**3 + 9*y**2 - 3582*y - 14280.
3*(y - 35)*(y + 4)*(y + 34)
Determine b, given that 3*b**2 + 2859*b = 0.
-953, 0
Solve -3*p**2/2 - 10169*p/2 + 1695 = 0 for p.
-3390, 1/3
Factor -4*k**2 + 24108*k - 288720.
-4*(k - 6015)*(k - 12)
Factor 3*w**3/2 - 64323*w**2/2 - 32163*w.
3*w*(w - 21442)*(w + 1)/2
Factor -5*w**2 - 863040*w - 37241902080.
-5*(w + 86304)**2
Factor -3*c**3 + 180*c**2 - 339*c - 522.
-3*(c - 58)*(c - 3)*(c + 1)
Suppose 