**2 + 46983*a + 48258.
3*(a - 383)*(a - 42)*(a + 1)
What is z in 2*z**3/9 + 24*z**2 - 8408*z/9 - 5888/3 = 0?
-138, -2, 32
Solve -6*i**2/13 + 14410*i/13 + 4804/13 = 0.
-1/3, 2402
Factor z**3/4 + 344803*z**2/4 + 689603*z/4 + 344801/4.
(z + 1)**2*(z + 344801)/4
Let l**5/8 + 331*l**4/8 + 21569*l**3/8 - 1004731*l**2/8 + 491415*l/4 = 0. What is l?
-181, 0, 1, 30
Suppose -3*q**3/4 + 4077*q**2/4 - 351828*q + 3747777 = 0. What is q?
11, 674
Factor g**2/6 + 422*g/3 + 2505/2.
(g + 9)*(g + 835)/6
What is a in -3*a**4 + 550518*a**3 - 25255839027*a**2 = 0?
0, 91753
Let 2*j**4 - 1554*j**3 - 6240*j**2 - 6248*j = 0. What is j?
-2, 0, 781
Solve 3*n**2 + 22974*n + 45936 = 0 for n.
-7656, -2
Let -g**2 + 133103*g - 266202 = 0. Calculate g.
2, 133101
Determine k, given that -6*k**2 + 146*k/5 + 1116/5 = 0.
-62/15, 9
Let 4*h**5 + 3524*h**4 - 14148*h**3 + 10620*h**2 = 0. Calculate h.
-885, 0, 1, 3
Let -2*x**4 - 2514*x**3 + 17680*x**2 - 20256*x - 40448 = 0. What is x?
-1264, -1, 4
Find q, given that -5*q**5 + 1270*q**4 - 89670*q**3 + 1091320*q**2 + 2456755*q + 1274490 = 0.
-1, 18, 119
Let -5*a**2 - 795*a = 0. What is a?
-159, 0
Solve -5*m**3 + 9585*m**2 + 448845*m + 5192135 = 0.
-23, 1963
Determine c so that -c**3 + 764*c**2/3 + 1540*c/3 = 0.
-2, 0, 770/3
Factor -p**3/5 + 396*p**2/5 - 10304*p/5.
-p*(p - 368)*(p - 28)/5
Let -2*x**2/11 - 1918*x/11 + 57304/11 = 0. What is x?
-988, 29
Solve -2*b**2/3 + 612*b - 60112/3 = 0 for b.
34, 884
Determine a so that -5*a**4 - 445730*a**3 - 9933761645*a**2 = 0.
-44573, 0
Find c, given that 14*c**3/9 - 2048*c**2/9 - 14350*c/3 - 3300 = 0.
-18, -5/7, 165
Solve 699*r**2 - 2145*r/8 + 9/4 = 0 for r.
2/233, 3/8
Let -4*h**5/9 - 28*h**4/3 + 92*h**3/3 - 284*h**2/9 + 32*h/3 = 0. Calculate h.
-24, 0, 1
What is g in -5*g**4/4 + 215*g**3/4 + 5535*g**2/4 - 159695*g/4 - 1453025/2 = 0?
-19, 35, 46
Suppose 2*g**2/3 + 1702*g/3 + 1700/3 = 0. Calculate g.
-850, -1
Factor 2*w**4/15 + 388*w**3/15 + 1736*w**2 + 661168*w/15 + 3813248/15.
2*(w + 8)*(w + 62)**3/15
Suppose -i**5 + 14*i**4 + 5*i**3 - 450*i**2 = 0. What is i?
-5, 0, 9, 10
Let -j**2/10 - 6433*j/5 - 25724/5 = 0. What is j?
-12862, -4
Find y, given that 3*y**2 - 1098*y - 123120 = 0.
-90, 456
What is w in 5*w**2 + 104335*w + 104330 = 0?
-20866, -1
Factor 3*b**3/2 - 12207*b**2/2 - 153525*b.
3*b*(b - 4094)*(b + 25)/2
Let a**5/5 + 74*a**4/5 + 779*a**3/5 + 2158*a**2/5 - 156*a - 2232/5 = 0. What is a?
-62, -6, -1, 1
Factor t**2/10 - 4691*t/10 - 13688.
(t - 4720)*(t + 29)/10
Let -3*b**3/8 - 1725*b**2/8 - 124077*b/4 - 30804 = 0. What is b?
-302, -272, -1
Solve 3*k**4/4 + 777*k**3/4 + 29151*k**2/4 + 55983*k/4 + 13803/2 = 0 for k.
-214, -43, -1
Factor -2*h**3/19 + 19270*h**2/19 - 77056*h/19 + 77048/19.
-2*(h - 9631)*(h - 2)**2/19
Determine j so that -2*j**5 + 44*j**4 + 1428*j**3 - 38528*j**2 + 163070*j - 184092 = 0.
-29, 2, 3, 23
Solve -5*t**4 + 95*t**3 + 185*t**2 - 6395*t + 6120 = 0.
-8, 1, 9, 17
Factor -2*d**2/7 - 235780*d/7 - 6949026050/7.
-2*(d + 58945)**2/7
Suppose 4*z**4/11 + 4326*z**3/11 - 1380*z**2 + 10850*z/11 = 0. What is z?
-1085, 0, 1, 5/2
Suppose 2*m**3 - 4558*m**2 + 36368*m - 72672 = 0. What is m?
4, 2271
Factor -3*q**4 + 111*q**3 - 933*q**2 - 2451*q + 12996.
-3*(q - 19)**2*(q - 3)*(q + 4)
Find b, given that b**4/9 - 68*b**3/3 - 3071*b**2/3 - 66572*b/9 + 65340 = 0.
-22, 5, 243
Let -3*i**5/4 - 5706*i**4 - 11409*i**3 = 0. What is i?
-7606, -2, 0
Factor -3*t**3/8 + 786*t**2 - 717615*t/2 - 57292650.
-3*(t - 1110)**2*(t + 124)/8
Factor 4*g**3 + 10068*g**2 - 469476*g + 5423308.
4*(g - 23)**2*(g + 2563)
Find g, given that -3*g**4 + 17*g**3 + 3930*g**2 - 3944*g = 0.
-34, 0, 1, 116/3
What is s in -5*s**3 - 220620*s**2 - 2432776500*s + 19476334240 = 0?
-22066, 8
Suppose -3*i**2 - 210286*i + 140192 = 0. Calculate i.
-70096, 2/3
Factor 5*d**3 - 1020*d**2 + 68400*d - 1501760.
5*(d - 76)**2*(d - 52)
Find u, given that 19*u**2 - 125*u/2 + 87/2 = 0.
1, 87/38
Find c, given that -2*c**5/9 + 88*c**4/9 + 3238*c**3/9 - 10460*c**2/9 + 328*c/9 + 13936/9 = 0.
-26, -1, 2, 67
Suppose -5*v**4 + 1035*v**3 - 19720*v**2 + 35340*v = 0. What is v?
0, 2, 19, 186
Factor -2*q**3 - 178540*q**2 - 3984566450*q.
-2*q*(q + 44635)**2
Solve -r**4 + 25501*r**3 + 153030*r**2 + 306076*r + 204056 = 0.
-2, 25507
Factor 2*u**2 - 27656*u - 27658.
2*(u - 13829)*(u + 1)
Let 3*p**4/4 + 411*p**3/2 - 3*p**2/4 - 411*p/2 = 0. Calculate p.
-274, -1, 0, 1
Factor 2*d**3/15 - 112*d**2/15 + 608*d/5 - 3072/5.
2*(d - 32)*(d - 12)**2/15
Find n such that -3*n**4/2 + 23829*n**3/2 - 31541652*n**2 + 27819729120*n + 27851282688 = 0.
-1, 2648
Solve q**3/4 + 31*q**2/2 + 773*q/4 - 209 = 0 for q.
-44, -19, 1
Factor 74*o**2 + 13244*o - 358.
2*(o + 179)*(37*o - 1)
Suppose 2*c**4/13 + 10412*c**3/13 + 1044002*c**2 + 54163224*c/13 + 54121608/13 = 0. What is c?
-2601, -2
Let 24*f**4 - 68*f**3 - 1856*f**2 - 3700*f + 4400 = 0. Calculate f.
-5, -4, 5/6, 11
Factor -1587*i**3/7 - 5317209*i**2/7 + 396360*i - 361908/7.
-3*(i + 3351)*(23*i - 6)**2/7
Factor -3*b**3 - 3675*b**2 - 804801*b + 808479.
-3*(b - 1)*(b + 287)*(b + 939)
Determine c so that 2*c**2/7 - 39892*c/7 = 0.
0, 19946
Factor -z**2 - 511*z + 135872.
-(z - 193)*(z + 704)
Find d such that 4*d**3/5 - 160787*d**2/5 - 522597*d/5 - 24120 = 0.
-3, -1/4, 40200
Factor -q**3/7 + 25632*q**2/7 - 164326725*q/7 + 985037814/7.
-(q - 12813)**2*(q - 6)/7
Suppose 1860*i**5 - 1075*i**4 - 4450*i**3 - 1625*i**2 - 110*i = 0. Calculate i.
-1, -1/3, -11/124, 0, 2
Determine n so that 5*n**4 + 1120*n**3 + 19665*n**2 - 148770*n + 238680 = 0.
-204, -26, 3
Factor 2*h**2/7 - 8208*h/7.
2*h*(h - 4104)/7
Determine m, given that -34*m**4/3 + 6362*m**3/3 - 36754*m**2/3 - 53974*m + 6516 = 0.
-3, 2/17, 9, 181
Find t, given that 180*t**3 - 3772*t**2 - 168*t = 0.
-2/45, 0, 21
Factor k**4/4 + 6737*k**3/4 + 11329931*k**2/4 - 56818205*k/4.
k*(k - 5)*(k + 3371)**2/4
Factor 3*k**4 - 234*k**3 + 4785*k**2 - 8658*k.
3*k*(k - 39)*(k - 37)*(k - 2)
Factor 2*u**3 + 24598*u**2 + 73780*u + 49184.
2*(u + 1)*(u + 2)*(u + 12296)
Solve j**5 - 484*j**4 + 59038*j**3 - 112792*j**2 - 404639*j - 232324 = 0.
-1, 4, 241
Suppose -2*l**2/9 + 2036*l/9 + 101200/3 = 0. Calculate l.
-132, 1150
Find t such that -t**2/8 + 3557*t/4 - 12652249/8 = 0.
3557
Factor 6*l**3/7 - 1440*l**2/7 + 5400*l.
6*l*(l - 210)*(l - 30)/7
Factor -2*v**4 + 1256*v**3 + 23040*v**2 + 139104*v + 279072.
-2*(v - 646)*(v + 6)**3
Let -35*r**5 + 100895*r**4 + 434235*r**3 - 3415495*r**2 - 16165700*r - 4330500 = 0. Calculate r.
-5, -2/7, 6, 2887
Factor -j**3/4 + 4608*j**2 - 18429*j + 18428.
-(j - 18428)*(j - 2)**2/4
Suppose 692*c**2 - 2024*c - 2976 = 0. What is c?
-186/173, 4
Solve 2*n**2 + 57604*n + 414777602 = 0.
-14401
Let 150*t**2 + 2589*t + 663 = 0. Calculate t.
-17, -13/50
Determine j so that 21*j**4 - 312*j**3 + 327*j**2 + 2340*j = 0.
-15/7, 0, 4, 13
Suppose -115*x**3 - 8385*x**2 - 59070*x + 5200 = 0. Calculate x.
-65, -8, 2/23
Suppose z**4/3 + 18*z**3 + 592*z**2/3 - 450*z + 703/3 = 0. Calculate z.
-37, -19, 1
Find v, given that -5*v**3 - 720*v**2 - 6105*v + 79730 = 0.
-134, -17, 7
Factor 111614401815*g**2 - 1035132*g + 12/5.
3*(431305*g - 2)**2/5
Factor o**2/2 + 135*o/2 - 2378.
(o - 29)*(o + 164)/2
Suppose 25*r**4 - 1045*r**3 + 5315*r**2 - 3395*r - 900 = 0. What is r?
-1/5, 1, 5, 36
Determine n, given that -222605*n**2 - 211000*n - 50000 = 0.
-100/211
Find j such that j**5/4 + 33*j**4/2 - 295*j**3/4 - 258*j**2 + 315*j = 0.
-70, -3, 0, 1, 6
Factor 4*s**3 - 2784*s**2 - 66148*s.
4*s*(s - 719)*(s + 23)
Determine o, given that -16*o**5 - 846*o**4 + 874*o**3 + 84704*o**2 + 72600*o - 10400 = 0.
-52, -10, -1, 1/8, 10
Determine b, given that -3*b**4/4 - 165*b**3 - 4509*b**2/4 - 1917*b = 0.
-213, -4, -3, 0
Factor -p**3/2 + 71*p**2/2 + 910*p.
-p*(p - 91)*(p + 20)/2
Factor -2*x**2/3 + 70*x/3 + 7644.
-2*(x - 126)*(x + 91)/3
Factor 3*c**2/2 - 11523*c/2 + 160146.
3*(c - 3813)*(c - 28)/2
What is w in 4*w**3 + 2468*w**2 + 384364*w + 1130988 = 0?
-307, -3
Factor -2*z**3 - 3126*z**2 - 80020*z - 147552.
-2*(z + 2)*(z + 24)*(z + 1537)
What is f in -172*f**4 - 504*f**3 - 480*f**2 - 136*f + 12 = 0?
-1, 3/43
Suppose 5*d**2 + 1955*d + 44040 = 0. What is d?
-367, -24
Let w**5 + 22*w**4 - 175*w**3 - 136*w**2 + 1680*w = 0. What is w?
-28, -3, 0, 4, 5
Factor -c**3/11 + 263*c**2/11 + 270*c/11 - 144.
-(c - 264)*(c - 2)*(c + 3)/11
Suppose 2