 such that -95*g**3 - 3430*g**2 + 310860*g + 32760 = 0.
-78, -2/19, 42
Find l such that -l**5/4 - 8089*l**4/4 - 16345831*l**3/4 + 49183181*l**2/4 + 36842876*l + 20462645 = 0.
-4046, -1, 5
Determine q so that 4*q**3 - 204*q**2 - 16*q + 816 = 0.
-2, 2, 51
Find f, given that -5*f**2 - 1478155*f + 2956330 = 0.
-295633, 2
Factor 54*v**2/7 + 5050*v/7 + 4996/7.
2*(v + 1)*(27*v + 2498)/7
Solve -5*l**2 - 730*l + 5355 = 0 for l.
-153, 7
Let -5*y**2/2 - 390*y - 18415/2 = 0. What is y?
-127, -29
Factor -2*f**3/9 - 134*f**2 - 18720*f + 454272.
-2*(f - 21)*(f + 312)**2/9
Let -m**2/4 + 310*m + 1241/4 = 0. What is m?
-1, 1241
Suppose -3*x**2/4 + 50715*x/4 - 50709/2 = 0. Calculate x.
2, 16903
Suppose 6*q**4/17 - 80*q**3/17 + 362*q**2/17 - 648*q/17 + 360/17 = 0. What is q?
1, 3, 10/3, 6
Determine l so that 2*l**5/9 - 1036*l**4/3 + 21652*l**3/9 + 9320*l**2/9 - 19586*l/3 - 43316/9 = 0.
-1, 2, 7, 1547
Factor w**3 + 3754*w**2 - w - 3754.
(w - 1)*(w + 1)*(w + 3754)
Suppose -n**3/3 - 499*n**2/3 - 989*n - 1479 = 0. What is n?
-493, -3
Factor -5*q**3 + 13865*q**2.
-5*q**2*(q - 2773)
Suppose g**4/3 - 78*g**3 - 485*g**2/3 + 1026*g - 2360/3 = 0. What is g?
-5, 1, 2, 236
Determine v so that 4*v**2/7 + 63716*v/7 + 2161720/7 = 0.
-15895, -34
Factor -5*d**2 + 7935*d + 39800.
-5*(d - 1592)*(d + 5)
Factor a**4 - 333*a**3 - 8505*a**2 - 22491*a.
a*(a - 357)*(a + 3)*(a + 21)
Let 2*g**2/13 + 432*g/13 = 0. Calculate g.
-216, 0
Determine n, given that n**3/4 + 12051*n**2 = 0.
-48204, 0
Factor 3*o**3 - 67374*o**2 - 134760*o.
3*o*(o - 22460)*(o + 2)
Factor k**5 - 721*k**4 + 126682*k**3 + 1179342*k**2 + 3577365*k + 3597075.
(k - 365)**2*(k + 3)**3
Find d such that -2*d**3 + 980*d**2 - 157976*d + 8347248 = 0.
126, 182
Solve -2*j**5 + 328*j**4 - 316*j**3 - 1624*j**2 - 978*j = 0.
-1, 0, 3, 163
Factor -2*a**2/19 - 340244*a/19 - 14470747442/19.
-2*(a + 85061)**2/19
Factor 2*y**3 + 222*y**2 - 1640*y + 1416.
2*(y - 6)*(y - 1)*(y + 118)
Solve x**5/3 + 3425*x**4/3 + 2937787*x**3/3 + 8782559*x**2/3 - 13688*x/3 - 11710084/3 = 0.
-1711, -2, 1
Factor k**3/5 - 17*k**2/5 - 704*k/5 - 1332/5.
(k - 37)*(k + 2)*(k + 18)/5
What is b in -5*b**2 - 1435*b + 1440 = 0?
-288, 1
Factor p**5 + 16718*p**4 - 6*p**3 - 100300*p**2 + 133741*p - 50154.
(p - 1)**3*(p + 3)*(p + 16718)
Factor 4*d**4 - 49920*d**3 + 153993400*d**2 + 10963680000*d + 192940562500.
4*(d - 6275)**2*(d + 35)**2
Factor 2*w**2 - 11572*w - 174030.
2*(w - 5801)*(w + 15)
Determine f, given that f**2/4 + 569*f/2 - 5202 = 0.
-1156, 18
Determine f so that -2*f**2/5 - 2152*f/5 - 2568 = 0.
-1070, -6
Find c such that -15*c**4 - 762*c**3 + 57543*c**2 - 123078*c + 22320 = 0.
-93, 1/5, 2, 40
Suppose 21*n**3/5 - 99084*n**2/5 + 116890809*n/5 - 33389286/5 = 0. What is n?
2/7, 2359
Factor -s**2/2 - 507049*s - 257098688401/2.
-(s + 507049)**2/2
Let -2*l**4/11 - 50890*l**3/11 - 152652*l**2/11 + 8*l/11 + 203536/11 = 0. Calculate l.
-25442, -2, 1
Determine w, given that 13*w**3/5 + 267*w**2/5 + 387*w/5 + 133/5 = 0.
-19, -1, -7/13
Find r such that r**3/4 - 51*r**2/4 - 766*r - 1479 = 0.
-34, -2, 87
Solve -1503*k**3 - 9021*k**2 - 7533*k - 15 = 0 for k.
-5, -1, -1/501
Factor d**5/2 + 1617*d**4/2 + 16758*d**3.
d**3*(d + 21)*(d + 1596)/2
Solve 6*i**3 + 958*i**2 - 4240*i + 3936 = 0.
-164, 4/3, 3
Solve -f**2/2 - 659*f/2 + 12510 = 0 for f.
-695, 36
Find q such that 2*q**4 - 138*q**3 + 116*q**2 + 1344*q + 1088 = 0.
-2, -1, 4, 68
Factor y**2 + 598900*y + 89670302500.
(y + 299450)**2
Factor -3*y**3 - 2811*y**2 - 272685*y - 7002837.
-3*(y + 53)**2*(y + 831)
Let 3*u**3 - 4194*u**2 - 3*u + 4194 = 0. What is u?
-1, 1, 1398
Factor 2*y**2/5 + 105532*y/5 + 1392125378/5.
2*(y + 26383)**2/5
Suppose 25*a**5/2 + 45*a**4 - 215*a**3/2 - 240*a**2 + 410*a - 120 = 0. Calculate a.
-4, -3, 2/5, 1, 2
Factor 2*z**4/9 + 194704*z**3/9 - 778840*z**2/9 + 259616*z/3.
2*z*(z - 2)**2*(z + 97356)/9
What is q in q**4/5 - 19541*q**3/5 + 127471896*q**2/5 - 278812587456*q/5 + 7978837049856/5 = 0?
29, 6504
Let -4*q**3 - 12192*q**2 - 48720*q - 48704 = 0. Calculate q.
-3044, -2
Factor 10*d**3 + 7475*d**2 - 3740*d.
5*d*(d + 748)*(2*d - 1)
Determine u so that -2*u**4 + 1782*u**3 - 5320*u**2 - 7128*u + 21312 = 0.
-2, 2, 3, 888
Factor -3*q**3 - 19134*q**2 + 1857600*q - 44748288.
-3*(q - 48)**2*(q + 6474)
Suppose -4*o**4 - 70952*o**3 + 212884*o**2 - 141928*o = 0. What is o?
-17741, 0, 1, 2
Suppose -9*f**2 + 1716*f/5 + 82764/5 = 0. What is f?
-418/15, 66
Determine w so that -2*w**4/3 + 202*w**3 + 610*w**2/3 - 202*w - 608/3 = 0.
-1, 1, 304
Factor -x**2/2 - 96*x - 9135/2.
-(x + 87)*(x + 105)/2
Solve -n**4 - 1041*n**3 - 15465*n**2 - 77075*n - 128250 = 0 for n.
-1026, -5
Factor 4*l**4/3 - 432*l**3 + 23180*l**2/3.
4*l**2*(l - 305)*(l - 19)/3
Determine g so that -g**2/3 - 72055*g/3 + 72056/3 = 0.
-72056, 1
Factor 5*b**3 + 3600*b**2 + 21445*b + 17850.
5*(b + 1)*(b + 5)*(b + 714)
Factor 3*j**4 - 1500*j**3 + 20412*j**2.
3*j**2*(j - 486)*(j - 14)
Factor -3*f**4 + 192*f**3 + 594*f**2 + 600*f + 201.
-3*(f - 67)*(f + 1)**3
Determine z, given that -2*z**3 + 778*z**2 - 14960*z + 73800 = 0.
10, 369
Factor -n**3/3 - 28*n**2/3 - 45*n + 228.
-(n - 3)*(n + 12)*(n + 19)/3
Solve 3*q**4 - 4218*q**3 + 25200*q**2 = 0 for q.
0, 6, 1400
Factor 2*i**2/13 - 2450860*i/13 + 750839342450/13.
2*(i - 612715)**2/13
What is k in 4*k**2/5 + 6184*k + 30916/5 = 0?
-7729, -1
Solve -2*p**5/7 + 20*p**4/7 + 538*p**3/7 - 420*p**2 + 3600*p/7 = 0 for p.
-15, 0, 2, 3, 20
Determine v, given that v**4/4 + 67*v**3/2 + 816*v**2 = 0.
-102, -32, 0
Determine p, given that -5*p**4 - 140*p**3 - 675*p**2 + 3420*p = 0.
-19, -12, 0, 3
Let -72*r**4/5 + 291*r**3/5 - 369*r**2/5 + 30*r = 0. What is r?
0, 1, 25/24, 2
Find t, given that -5*t**2 - 7735*t - 69210 = 0.
-1538, -9
Suppose -d**3 - 1019*d**2 - 261112*d - 774192 = 0. What is d?
-508, -3
Suppose 5*f**5 - 6325*f**4 - 12675*f**3 + 6325*f**2 + 12670*f = 0. Calculate f.
-2, -1, 0, 1, 1267
Factor 16394*d**2/11 + 49180*d/11 - 6/11.
2*(d + 3)*(8197*d - 1)/11
Factor -4*w**3 - 3332*w**2 - 526240*w + 73636800.
-4*(w - 87)*(w + 460)**2
Factor 5996*l**2 - 23944*l - 160.
4*(l - 4)*(1499*l + 10)
Suppose -4*l**4 - 1156*l**3 - 6812*l**2 - 5660*l = 0. What is l?
-283, -5, -1, 0
Suppose -v**4 + 25*v**3 + 250*v**2 - 2080*v + 2976 = 0. What is v?
-12, 2, 4, 31
Factor -12*r**3 + 676*r**2 + 32140*r - 10788.
-4*(r - 87)*(r + 31)*(3*r - 1)
Factor 2*h**2 - 38924*h - 38926.
2*(h - 19463)*(h + 1)
Find f, given that -72*f**5/13 + 456*f**4/13 + 1798*f**3/13 - 636*f**2/13 + 54*f/13 = 0.
-3, 0, 1/6, 9
Suppose -40*a**4 + 1075*a**3 - 5265*a**2 - 27675*a - 3375 = 0. What is a?
-3, -1/8, 15
Determine d so that 314*d**2/9 - 866*d/9 - 76/3 = 0.
-38/157, 3
Factor -4*s**3 - 11236*s**2 + 157892*s - 553308.
-4*(s - 7)**2*(s + 2823)
Suppose -2*n**2/19 - 42588*n/19 - 226717218/19 = 0. What is n?
-10647
Determine h, given that 3*h**3 + 936*h**2 + 22815*h - 8897850 = 0.
-195, 78
Factor -3*l**2 + 204789*l + 204792.
-3*(l - 68264)*(l + 1)
What is l in 3*l**5 + 4677*l**4 + 217287*l**3 - 448617*l**2 + 226650*l = 0?
-1511, -50, 0, 1
Let 5*a**4 + 1295*a**3 + 97060*a**2 + 1672060*a + 4177200 = 0. What is a?
-118, -20, -3
Find c such that -c**3/2 + 101*c**2/2 - 3335*c/2 + 36163/2 = 0.
29, 43
Factor -4*l**2 - 15656*l + 31328.
-4*(l - 2)*(l + 3916)
Determine g so that 2*g**3/13 + 5990*g**2/13 + 5048*g - 71616/13 = 0.
-2984, -12, 1
Factor z**2 - 877*z + 1750.
(z - 875)*(z - 2)
Find f, given that -f**4 - 173*f**3 - 2967*f**2 + 14157*f - 11016 = 0.
-153, -24, 1, 3
Find w such that -3*w**5 + 1923*w**4 + 1935*w**3 - 5775*w**2 - 1932*w + 3852 = 0.
-2, -1, 1, 642
Factor -6*w**3 + 542*w**2 - 2696*w - 2040.
-2*(w - 85)*(w - 6)*(3*w + 2)
Factor -2*g**2/11 + 56436*g/11 - 398127762/11.
-2*(g - 14109)**2/11
Factor 5*c**2/2 - c/12 - 175/4.
(5*c - 21)*(6*c + 25)/12
Determine y so that -y**3/4 - 25365*y**2/4 - 160833123*y/4 + 160858489/4 = 0.
-12683, 1
Factor -y**4/3 - 4636*y**3/3 - 5782708*y**2/3 - 316471904*y - 13979921088.
-(y + 92)**2*(y + 2226)**2/3
Suppose -12*a**4/7 - 1410123*a**3/7 - 3172734*a**2/7 - 2115147*a/7 - 352524/7 = 0. Calculate a.
-117508, -1, -1/4
Factor 2*i**2/11 - 177288*i/11 + 3928879368/11.
2*(i - 44322)**2/11
Find b such that -b**3 - 253*b**2 + 20722*b + 257224 = 0.
-316, -11, 74
Let 4*t**3 - 216*t**2 + 2400*t + 13312 = 0. What is t?
-4, 26, 32
Determine s, given tha