5209)*(b - 1)/17
Suppose 3*t**3 + 276*t**2 + 1065*t + 792 = 0. What is t?
-88, -3, -1
Determine b, given that 3*b**4 - 37185*b**3 + 37182*b**2 = 0.
0, 1, 12394
Factor -q**2/8 + 2617*q - 146503/8.
-(q - 20929)*(q - 7)/8
Determine h, given that -12*h**2 - 2835*h + 2133 = 0.
-237, 3/4
Determine o, given that o**2/2 + 6145*o/2 + 49032 = 0.
-6129, -16
Let 6*k**3/7 + 858*k**2/7 - 23052*k/7 - 23904/7 = 0. What is k?
-166, -1, 24
Find q, given that 2*q**4/5 - 3676*q**3/5 + 340752*q**2 - 2690100*q + 5023350 = 0.
3, 5, 915
Factor -2*y**3/7 - 766*y**2/7 - 3008*y/7 + 9096/7.
-2*(y - 2)*(y + 6)*(y + 379)/7
Solve n**2 + 4255*n - 8514 = 0.
-4257, 2
Solve 5*f**4/4 + 125*f**3/4 - 65*f**2/2 = 0.
-26, 0, 1
Suppose -i**2/3 - 11*i + 1710 = 0. Calculate i.
-90, 57
Determine k so that -k**2/4 + 260223*k/2 - 67716009729/4 = 0.
260223
Solve 3*u**4/2 - 105*u**3 - 1182*u**2 - 1548*u + 8640 = 0 for u.
-6, 2, 80
Find o, given that o**3 + 14262*o**2 - 14263*o = 0.
-14263, 0, 1
Factor 2*n**2/9 - 44192*n/9 - 29464/3.
2*(n - 22098)*(n + 2)/9
Solve r**2/3 - 11801*r/3 + 7866 = 0.
2, 11799
Suppose 5*q**4/3 - 3790*q**3/3 + 358540*q**2 - 135443410*q/3 + 6383886455/3 = 0. Calculate q.
167, 197
Factor -2*v**2 - 971184*v - 117899795232.
-2*(v + 242796)**2
Solve t**4/3 - 418*t**3/3 + 19176*t**2 - 835002*t - 4672035 = 0.
-5, 141
Determine v, given that 113*v**3/2 - 797*v**2 + 5705*v/2 - 294 = 0.
12/113, 7
Factor -7*f**2/2 - 336806*f - 96230.
-(f + 96230)*(7*f + 2)/2
Determine k, given that -3*k**4/2 - 75*k**3 - 945*k**2/2 - 915*k - 516 = 0.
-43, -4, -2, -1
Let 25*h**4/3 + 3430*h**3/3 - 5632*h**2 + 6816*h = 0. What is h?
-142, 0, 12/5
Let -r**5 + 1811*r**4 - 836952*r**3 + 15411200*r**2 - 70647808*r = 0. What is r?
0, 8, 11, 896
Factor -n**3/8 - 1367971*n**2/8 - 58479435028*n + 116959212049/2.
-(n - 1)*(n + 683986)**2/8
Factor -f**3/3 + 667*f**2 - 10608*f + 127040/3.
-(f - 1985)*(f - 8)**2/3
Factor 51*l**3 - 1566*l**2 + 6240*l.
3*l*(l - 26)*(17*l - 80)
Determine u so that -3*u**5/7 + 225*u**4/7 - 1047*u**3/7 - 261*u**2/7 + 3534*u/7 + 360 = 0.
-1, 3, 4, 70
Factor 5*k**2 + 4420*k - 127680.
5*(k - 28)*(k + 912)
Factor v**4/7 - 59*v**3/7 + 458*v**2/7 - 400*v/7.
v*(v - 50)*(v - 8)*(v - 1)/7
Factor -w**3/2 + 97*w**2/2.
-w**2*(w - 97)/2
Solve -1818*c**2/5 - 5432*c/5 + 66/5 = 0 for c.
-3, 11/909
Factor 2*l**3/11 + 58*l**2/11 - 274*l/11 - 30.
2*(l - 5)*(l + 1)*(l + 33)/11
Factor -3*l**3/5 + 18*l**2/5 + 3*l/5 - 18.
-3*(l - 5)*(l - 3)*(l + 2)/5
Factor 4*b**3 - 1356*b**2 + 112860*b + 350892.
4*(b - 171)**2*(b + 3)
Let 6*z**4/7 + 2448*z**3/7 - 7380*z**2/7 + 1056*z - 2466/7 = 0. Calculate z.
-411, 1
Solve 2*c**5 - 122*c**4 - 282*c**3 + 1890*c**2 = 0 for c.
-5, 0, 3, 63
Determine i so that 3*i**4/2 - 17751*i**3/2 - 8877*i**2 = 0.
-1, 0, 5918
Factor -v**3 + 601*v**2 - 74520*v - 4933872.
-(v - 324)**2*(v + 47)
Factor 54*r**2/7 - 66490*r + 34476/7.
2*(r - 8619)*(27*r - 2)/7
Suppose 3*g**3 + 409389*g**2 + 409386*g = 0. What is g?
-136462, -1, 0
Let 2*h**2 - 1418*h + 155856 = 0. Calculate h.
136, 573
Factor o**5 + 1719*o**4 - 5163*o**3 + 5165*o**2 - 1722*o.
o*(o - 1)**3*(o + 1722)
Factor -4*o**2 + 79860*o - 239544.
-4*(o - 19962)*(o - 3)
Factor -5*h**3 - 20740*h**2 - 20725*h + 41470.
-5*(h - 1)*(h + 2)*(h + 4147)
Determine d, given that 2*d**4/7 - 1066*d**3/7 - 9798*d**2/7 + 22786*d/7 - 11924/7 = 0.
-11, 1, 542
Factor -2*i**2 + 1174*i - 28100.
-2*(i - 562)*(i - 25)
Find z such that -3*z**2 + 62028*z + 62031 = 0.
-1, 20677
Factor 3*x**3 - 99*x**2 - 63936*x - 2973468.
3*(x - 181)*(x + 74)**2
Factor -2*s**3/7 - 2602*s**2/7 + 2992*s.
-2*s*(s - 8)*(s + 1309)/7
Factor 15*h**3 + 6654*h**2 + 3987*h.
3*h*(h + 443)*(5*h + 3)
Factor 2*l**2/5 - 367918*l/5 + 367916/5.
2*(l - 183958)*(l - 1)/5
Find f such that -f**2/9 + 239*f/3 - 13262/9 = 0.
19, 698
Factor -4*k**3 + 14536*k**2 + 4*k - 14536.
-4*(k - 3634)*(k - 1)*(k + 1)
Factor 4*n**2 + 630816*n + 24870551616.
4*(n + 78852)**2
Suppose -5*q**3 - 875*q**2 - 49115*q - 894645 = 0. Calculate q.
-81, -47
Let 3*u**3/2 + 258*u**2 + 4455*u/2 + 4401 = 0. What is u?
-163, -6, -3
Find r such that -2*r**2 - 50348*r - 50346 = 0.
-25173, -1
Solve 2*q**3 - 4438*q**2 + 2464198*q - 2459762 = 0.
1, 1109
Factor 3*m**2/4 - 12489*m + 249705/4.
3*(m - 16647)*(m - 5)/4
Factor m**2 + 24900*m.
m*(m + 24900)
Factor -15*b**5 + 501*b**4 + 3276*b**3.
-3*b**3*(b - 39)*(5*b + 28)
Factor 23*q**2/2 - 8086*q + 32160.
(q - 4)*(23*q - 16080)/2
Find i such that -4*i**2 + 572*i + 30176 = 0.
-41, 184
Factor 4*v**3/5 - 364*v**2/5 + 2176*v/5 + 14784/5.
4*(v - 84)*(v - 11)*(v + 4)/5
Factor -5*n**3 + 730*n**2 - 2055*n - 12870.
-5*(n - 143)*(n - 6)*(n + 3)
Find h such that -2*h**5/7 + 6522*h**4/7 + 39218*h**3/7 - 6534*h**2 = 0.
-7, 0, 1, 3267
Factor 2*l**3 - 10044*l**2 + 12114306*l + 1257308352.
2*(l - 2559)**2*(l + 96)
Factor j**4/2 + 47*j**3 + 46*j**2 - 47*j - 93/2.
(j - 1)*(j + 1)**2*(j + 93)/2
Suppose -j**2 + 78928*j - 1557407296 = 0. What is j?
39464
Factor 3*z**2/2 + 92454*z + 1424623686.
3*(z + 30818)**2/2
Solve -24*l**3 - 89745*l**2 - 392211*l - 134460 = 0 for l.
-3735, -4, -3/8
Factor g**2/4 - 1103*g + 6609.
(g - 4406)*(g - 6)/4
Factor 4*r**2 - 46428*r + 278424.
4*(r - 11601)*(r - 6)
Let y**4 - 489*y**3 + 5772*y**2 - 22960*y + 30528 = 0. Calculate y.
4, 477
Determine u so that 2*u**4/9 - 5774*u**3/9 + 600754*u**2 - 165608730*u - 15811412316 = 0.
-74, 987
Suppose -87*k**5 - 1386*k**4 - 1122*k**3 + 1476*k**2 + 1209*k - 90 = 0. Calculate k.
-15, -1, 2/29, 1
Factor 2*t**3 + 306*t**2 - 932*t + 624.
2*(t - 2)*(t - 1)*(t + 156)
Factor -28*f**3 + 744*f**2 + 340*f - 432.
-4*(f - 27)*(f + 1)*(7*f - 4)
Factor 14*g**3/3 - 50*g**2 - 388*g - 320/3.
2*(g - 16)*(g + 5)*(7*g + 2)/3
Find u, given that -u**2 + 1000*u - 174924 = 0.
226, 774
Let 484*d**4 - 22176*d**3 + 254016*d**2 = 0. What is d?
0, 252/11
Find y such that -340*y**5 + 1352*y**4 + 6152*y**3 - 36576*y**2 + 45036*y + 1080 = 0.
-5, -2/85, 3
Factor -4*t**2 + 75960*t + 303904.
-4*(t - 18994)*(t + 4)
Factor 2*j**2/11 - 3314*j/11 + 185484/11.
2*(j - 1599)*(j - 58)/11
Factor -m**2/4 + 145*m/4 + 147/2.
-(m - 147)*(m + 2)/4
Find m such that m**3 - 24*m**2 = 0.
0, 24
What is s in 39*s**3/8 - 657*s**2/8 + 813*s/4 - 126 = 0?
1, 24/13, 14
Factor 3*y**3 - 3495*y**2 + 6978*y.
3*y*(y - 1163)*(y - 2)
Solve g**5/3 - 1036*g**4/3 + 85904*g**3 + 1841472*g**2 + 4663296*g - 53526528 = 0.
-12, 4, 528
Solve -10*o**4/11 - 656*o**3/11 - 9726*o**2/11 + 14656*o/11 - 4264/11 = 0 for o.
-41, -26, 2/5, 1
Factor -2*w**2/3 + 8216*w/3 - 24594.
-2*(w - 4099)*(w - 9)/3
Factor -4*j**3 - 110816*j**2 - 768176080*j - 9202162368.
-4*(j + 12)*(j + 13846)**2
Factor 4*p**3/9 + 44*p**2 - 4*p/9 - 44.
4*(p - 1)*(p + 1)*(p + 99)/9
Find a such that -2*a**5/21 - 142*a**4/21 - 836*a**3/7 - 1684*a**2/21 + 11470*a/21 - 2378/7 = 0.
-41, -29, -3, 1
Solve 3*i**3/5 + 420*i**2 + 14553*i/5 = 0.
-693, -7, 0
Let -5*j**4 - 13580*j**3 - 9261470*j**2 - 55202700*j - 82621125 = 0. What is j?
-1355, -3
Factor -j**2 + 229863*j - 459722.
-(j - 229861)*(j - 2)
Factor 2*t**2/9 - 71176*t/3 + 633252872.
2*(t - 53382)**2/9
What is o in 5*o**3 + 565*o**2 + 7900*o + 13580 = 0?
-97, -14, -2
Determine n, given that -9*n**4 - 2355*n**3 - 63936*n**2 - 41580*n = 0.
-231, -30, -2/3, 0
Determine p, given that -5*p**4 + 9505*p**3 - 4493365*p**2 - 22762405*p + 27246270 = 0.
-6, 1, 953
Solve -2*g**3 + 10346*g**2 - 72324*g = 0 for g.
0, 7, 5166
Factor -2*t**2 - 1178082*t + 1178084.
-2*(t - 1)*(t + 589042)
Find m, given that -2*m**4/15 + 47352*m**3/5 - 1121105952*m**2/5 + 8847768173184*m/5 = 0.
0, 23676
Let 125*g**5 - 7575*g**4 + 19110*g**3 - 15140*g**2 + 3480*g = 0. What is g?
0, 2/5, 1, 6/5, 58
Solve -4*g**5 - 23958*g**4 - 35820168*g**3 + 161532314*g**2 - 215520264*g + 71856072 = 0 for g.
-2997, 1/2, 2
Factor -4*j**2 + 708*j - 4760.
-4*(j - 170)*(j - 7)
Factor -3*u**3/5 + 63*u**2/5 + 972*u/5 + 2688/5.
-3*(u - 32)*(u + 4)*(u + 7)/5
Solve 2*o**3/9 + 2324*o**2/3 + 27814*o/9 - 48748/3 = 0 for o.
-3482, -7, 3
Factor y**3/9 - 17476*y**2/9 - 34961*y/3 - 17482.
(y - 17482)*(y + 3)**2/9
Factor -1355*t**2/2 - 291324*t/5 + 86/5.
-(t + 86)*(6775*t - 2)/10
Suppose -15*l**3 + 20815*l**2 + 6950*l - 13880 = 0. Calculate l.
-1, 2/3, 1388
Determine f so that 5*f**3 + 2400*f**2 + 63415*f + 61020 = 0.
-452, -27, -1
Factor -2*h**2 + 1962848*h - 1962846.
-2*(h - 