2, 1
Determine r, given that -5*r**3 + 25*r**2 + 85*r - 105 = 0.
-3, 1, 7
Find o, given that -3*o**4 - 18*o**3 + 96*o = 0.
-4, 0, 2
Let -x**2/2 + 371*x/2 = 0. What is x?
0, 371
Find x such that -2*x**5/9 - 142*x**4/3 - 7490*x**3/3 + 22898*x**2/9 = 0.
-107, 0, 1
Find g such that -4*g**3 + 132*g**2 + 4356*g + 26620 = 0.
-11, 55
Suppose 4*p**2 + 64*p - 68 = 0. Calculate p.
-17, 1
Solve 36*q**5/13 - 10*q**4/13 - 6*q**3 - 32*q**2/13 = 0 for q.
-1, -1/2, 0, 16/9
Factor 2*f**3/9 - 1088*f**2/9 + 480*f.
2*f*(f - 540)*(f - 4)/9
Solve -36*h**3 + 332*h**2 + 5760*h - 1296 = 0 for h.
-9, 2/9, 18
Factor x**2/7 + 78*x/7 + 152/7.
(x + 2)*(x + 76)/7
Let -4*u**4 + 408*u**2 + 224*u - 8820 = 0. Calculate u.
-7, 5, 9
Find u such that -2*u**2 + 332*u/3 + 224/3 = 0.
-2/3, 56
Factor -v**3 - 14*v**2 - 32*v + 128.
-(v - 2)*(v + 8)**2
Find h, given that 19*h**3/8 + 207*h**2/4 - 11*h = 0.
-22, 0, 4/19
Factor -a**2/5 + 3982*a/5 - 3964081/5.
-(a - 1991)**2/5
Let 2*p**3/3 - 34*p**2/3 + 110*p/3 - 26 = 0. What is p?
1, 3, 13
Suppose 2*a**3/15 + 56*a**2/5 + 256*a + 2560/3 = 0. What is a?
-40, -4
Suppose -4*v**4 + 4*v**3 = 0. Calculate v.
0, 1
Determine v, given that 20*v**2 - 65*v = 0.
0, 13/4
Factor 2*y**3/3 - 971*y**2/3 + 482*y/3 + 485.
(y - 485)*(y + 1)*(2*y - 3)/3
Determine o, given that -6*o**4/17 + 82*o**3/17 - 88*o**2/17 - 24*o + 288/17 = 0.
-2, 2/3, 3, 12
Find f, given that 5*f**3 - 29*f**2 - 8*f + 140 = 0.
-2, 14/5, 5
Factor -98*v**5 + 826*v**4 + 496*v**3 + 72*v**2.
-2*v**2*(v - 9)*(7*v + 2)**2
Factor -5*b**2/9 + 38*b/9 + 43/9.
-(b + 1)*(5*b - 43)/9
Solve 6*c**5 - 17*c**4 - 58*c**3 - 12*c**2 + 52*c + 29 = 0.
-1, 1, 29/6
Suppose -h**4/7 - 18*h**3/7 - 81*h**2/7 = 0. Calculate h.
-9, 0
Solve -5*q**3/3 - 224*q**2/9 - 125*q/3 + 26/9 = 0 for q.
-13, -2, 1/15
Find s such that -s**5/10 - s**4/5 + 11*s**3/10 + 6*s**2/5 = 0.
-4, -1, 0, 3
Factor a**4 + 23*a**3 + 36*a**2 - 452*a + 560.
(a - 2)**2*(a + 7)*(a + 20)
Solve -39*h**3 + 102*h**2 - 87*h + 24 = 0 for h.
8/13, 1
Factor -n**3/3 + 35*n**2/3 - 49*n - 1029.
-(n - 21)**2*(n + 7)/3
What is d in 3*d**4 - 1338*d**3 + 147843*d**2 + 299712*d + 150528 = 0?
-1, 224
Suppose 242*s**5/3 - 1342*s**4/3 + 3061*s**3/6 + 305*s**2 + 75*s/2 = 0. What is s?
-5/22, 0, 3
Factor -2*b**2/7 - 170*b/7 + 172/7.
-2*(b - 1)*(b + 86)/7
Solve -5*f**5 - 100*f**4 - 380*f**3 + 1310*f**2 + 385*f - 1210 = 0 for f.
-11, -1, 1, 2
Find d, given that -2*d**2/3 - 1424*d/3 - 253472/3 = 0.
-356
Determine q, given that -240*q**5/11 - 84*q**4/11 + 426*q**3/11 + 324*q**2/11 + 54*q/11 = 0.
-1, -3/5, -1/4, 0, 3/2
Solve 15*z**5 + 1668*z**4 - 1362*z**3 - 2004*z**2 + 1347*z + 336 = 0 for z.
-112, -1, -1/5, 1
Determine r, given that 2*r**4/9 + 56*r**3/9 - 322*r**2/9 + 88*r/3 = 0.
-33, 0, 1, 4
Factor -3*o**2/8 + 6759*o/4 - 15228027/8.
-3*(o - 2253)**2/8
Factor -4*a**4 + 164*a**3 - 156*a**2 - 164*a + 160.
-4*(a - 40)*(a - 1)**2*(a + 1)
Factor -129*y**2 - 144*y - 15.
-3*(y + 1)*(43*y + 5)
Let 4*j**4 + 636*j**3 - 3912*j**2 + 7888*j - 5280 = 0. What is j?
-165, 2
Let -q**4 + 65*q**3/7 - 18*q**2/7 - 108*q + 216/7 = 0. What is q?
-3, 2/7, 6
Let -3*w**4 + 3*w**3 + 21*w**2 - 3*w - 18 = 0. What is w?
-2, -1, 1, 3
Suppose -f**3/3 + 4*f**2/3 + 19*f/3 + 14/3 = 0. Calculate f.
-2, -1, 7
Solve -r**5/4 + 3*r**4/2 - 9*r**3/4 - r**2 + 3*r = 0 for r.
-1, 0, 2, 3
Let 2*h**2/11 - 646*h/11 = 0. What is h?
0, 323
Factor -115*y**3 + 15*y**2.
-5*y**2*(23*y - 3)
What is z in -4*z**5 + 2572*z**4 - 404332*z**3 - 2936636*z**2 - 3421600*z + 6760000 = 0?
-4, 1, 325
Suppose -s**2 - 436*s - 47524 = 0. Calculate s.
-218
Find o, given that -o**2/7 + 12*o/7 - 11/7 = 0.
1, 11
What is k in k**5/4 + k**4/4 - 15*k**3/2 + 37*k**2/2 - 67*k/4 + 21/4 = 0?
-7, 1, 3
Factor -4*l**4 - 784*l**3 + 2376*l**2 - 2384*l + 796.
-4*(l - 1)**3*(l + 199)
Factor -2*j**3/3 + 92*j**2/3 + 424*j/3 - 400.
-2*(j - 50)*(j - 2)*(j + 6)/3
Let 4*f**2 - 88*f + 484 = 0. What is f?
11
Find f such that -4*f**3 + 32*f**2 + 4*f - 32 = 0.
-1, 1, 8
Solve a**2/3 - 226*a/3 + 75 = 0 for a.
1, 225
Factor m**3 - 550*m**2 - 4*m + 2200.
(m - 550)*(m - 2)*(m + 2)
Let 2*z**4/9 + 20*z**3/9 + 14*z**2/9 - 4*z = 0. Calculate z.
-9, -2, 0, 1
Factor -5*g**2 - 665*g + 4170.
-5*(g - 6)*(g + 139)
Let 2*n**2/11 + 82*n/11 - 24 = 0. What is n?
-44, 3
Suppose -64*c**3 + 1056*c**2 + 540*c + 68 = 0. What is c?
-1/4, 17
Factor 200*h**3 - 395*h**2 + 240*h - 45.
5*(h - 1)*(5*h - 3)*(8*h - 3)
Find v, given that -v**3/4 - 11*v**2/2 - 57*v/4 = 0.
-19, -3, 0
Factor -4*n**4 - 1120*n**3 - 6624*n**2 - 13184*n - 8768.
-4*(n + 2)**3*(n + 274)
Suppose -2*h**3 + 4340*h**2 - 2354450*h = 0. What is h?
0, 1085
Find s such that -4*s**4/7 + 18*s**3/7 - 22*s**2/7 + 8/7 = 0.
-1/2, 1, 2
Factor 5*z**4 - 260*z**3 - 5*z**2 + 260*z.
5*z*(z - 52)*(z - 1)*(z + 1)
Factor -u**3/2 + 110*u**2.
-u**2*(u - 220)/2
Factor -3*r**4/7 + 3*r**3/7 + 3*r**2/7 - 3*r/7.
-3*r*(r - 1)**2*(r + 1)/7
Factor -5*a**3 + 72*a**2 + 227*a - 102.
-(a - 17)*(a + 3)*(5*a - 2)
Let 2*u**2 - 68*u + 578 = 0. Calculate u.
17
Solve -4*x**5 - 56*x**4 + 64*x**3 + 56*x**2 - 60*x = 0 for x.
-15, -1, 0, 1
Factor -12*c**3/5 + 16*c**2/5 + 16*c/5.
-4*c*(c - 2)*(3*c + 2)/5
Factor 2*o**4/19 + 8*o**3/19 - 32*o/19 - 32/19.
2*(o - 2)*(o + 2)**3/19
Factor -2*p**3/7 + 6*p**2/7 + 2*p/7 - 6/7.
-2*(p - 3)*(p - 1)*(p + 1)/7
Determine d, given that -2*d**3 + 370*d**2 - 734*d + 366 = 0.
1, 183
Factor -4*r**3 - 88*r**2 - 160*r.
-4*r*(r + 2)*(r + 20)
Determine w so that 3*w**3/2 - 3*w**2 - 87*w/2 + 45 = 0.
-5, 1, 6
Determine p so that p**2/2 - 26*p + 50 = 0.
2, 50
Factor 3*f**4 - 9*f**3 + 3*f**2 + 9*f - 6.
3*(f - 2)*(f - 1)**2*(f + 1)
Factor -6*d**2 - 5505*d + 2754.
-3*(d + 918)*(2*d - 1)
Determine z so that -3*z**4/2 + 3*z**3/2 + 39*z**2/2 - 75*z/2 + 18 = 0.
-4, 1, 3
Suppose 16*b**2 + 1924*b + 480 = 0. What is b?
-120, -1/4
What is d in -2*d**3/5 + 306*d**2 - 291846*d/5 - 293378/5 = 0?
-1, 383
Let 15*n**5/7 - 33*n**4/7 + 6*n**3/7 + 30*n**2/7 - 3*n + 3/7 = 0. What is n?
-1, 1/5, 1
What is c in -5*c**5 + 15*c**4 + 10*c**3 - 30*c**2 - 5*c + 15 = 0?
-1, 1, 3
Solve 35*b**5 - 80*b**4 + 20*b**3 + 70*b**2 - 55*b + 10 = 0.
-1, 2/7, 1
Factor -2*x**3 + 43*x**2 - 21*x.
-x*(x - 21)*(2*x - 1)
What is y in -2*y**3 + 452*y**2 - 4370*y + 10800 = 0?
5, 216
Solve -3*x**4 + 108*x**3 - 1458*x**2 + 8748*x - 19683 = 0 for x.
9
Solve 5*u**3 + 515*u**2 + 15275*u + 99405 = 0 for u.
-47, -9
Find d such that -5*d**3 + 6400*d**2 = 0.
0, 1280
Factor 4*p**3/7 - 64*p**2/7 - 320*p/7.
4*p*(p - 20)*(p + 4)/7
Factor 4*z**2 + 4*z - 24.
4*(z - 2)*(z + 3)
Factor 4*j**4 - 180*j**3 - 576*j**2 - 16*j + 768.
4*(j - 48)*(j - 1)*(j + 2)**2
Let 50*u**5/19 + 460*u**4/19 - 942*u**3/19 + 520*u**2/19 - 88*u/19 = 0. Calculate u.
-11, 0, 2/5, 1
Find n such that -n**3/2 - 51*n**2 - 2601*n/2 = 0.
-51, 0
Suppose 6*l**3/7 - 54*l**2/7 + 156*l/7 - 144/7 = 0. What is l?
2, 3, 4
Determine y so that 2*y**3 - 5948*y**2 + 4416384*y + 8856576 = 0.
-2, 1488
Let 3*b**5/7 - 36*b**4/7 + 30*b**3/7 + 36*b**2/7 - 33*b/7 = 0. What is b?
-1, 0, 1, 11
Suppose -176*l**4/5 + 156*l**3 - 168*l**2 + 52*l - 24/5 = 0. What is l?
2/11, 1/4, 1, 3
Factor 2*o**2/11 + 32*o/11 + 56/11.
2*(o + 2)*(o + 14)/11
Factor -l**2/2 + 4*l + 154.
-(l - 22)*(l + 14)/2
Suppose 3*t**3 + 6*t**2 - 105*t = 0. What is t?
-7, 0, 5
What is w in -121*w**4/3 - 836*w**3/3 + 1196*w**2/3 + 3040*w - 4800 = 0?
-60/11, 2
Find a such that 2284*a**2/3 - 2272*a/3 - 4 = 0.
-3/571, 1
Solve 3*h**4/2 + 15*h**3/2 + 12*h**2 + 6*h = 0.
-2, -1, 0
Determine m, given that 10*m**3/7 - 1016*m**2/7 + 25602*m/7 + 10404/7 = 0.
-2/5, 51
What is z in -2*z**5 + 110*z**4 + 972*z**3 + 2268*z**2 + 54*z - 3402 = 0?
-3, 1, 63
Suppose -3*k**3 + 1716*k**2 = 0. What is k?
0, 572
Suppose z**2/5 + 42*z/5 - 43/5 = 0. Calculate z.
-43, 1
Let -4*z**4 + 116*z**3 - 200*z**2 - 464*z + 864 = 0. Calculate z.
-2, 2, 27
Find h such that -27*h**3 + 330*h**2 - 1044*h + 216 = 0.
2/9, 6
What is v in -3*v**2/2 + 78*v - 414 = 0?
6, 46
Suppose -2*g**3 - 8*g**2 - 2*g + 12 = 0. Calculate g.
-3, -2, 1
Factor -3*s**2/5 + 36*s/5 - 12.
-3*(s - 10)*(s - 2)/5
Factor 2*n**3 + 6*n**2 - 20*n.
2*n*(n - 2)*(n + 5)
Factor -3*l**2/2 - 309*l/2 - 153.
-3*(l + 1)*(l + 102)/2
Find b, given that -3*b**4/2 + 15*b**3 - 27*b**2/2 - 78*b - 48 = 0.
-1, 4, 8
Suppose -4*j**2 - 296*j - 1120 = 0. What is j?
-70, -4
Factor 3*r**3 + 18*r**2 - 237*