34, -1, 1
Factor 2*v**3/7 + 44*v**2/7 + 290*v/7 + 600/7.
2*(v + 5)**2*(v + 12)/7
Suppose -r**2 - 170*r + 519 = 0. Calculate r.
-173, 3
Find o, given that -o**2 - 300*o - 891 = 0.
-297, -3
Solve 2*f**4 - 152*f**3 + 716*f**2 - 408*f - 1278 = 0.
-1, 3, 71
Factor -5*a**4 + 70*a**3 - 65*a**2.
-5*a**2*(a - 13)*(a - 1)
Find z such that -z**2/4 + 351*z - 123201 = 0.
702
Find p such that -4*p**5 - 28*p**4 - 28*p**3 + 76*p**2 + 64*p - 80 = 0.
-5, -2, 1
Factor 2*k**2 + 1742*k + 5208.
2*(k + 3)*(k + 868)
Factor -z**2/2 - 19*z - 361/2.
-(z + 19)**2/2
Determine m, given that 5*m**5 + 115*m**4 + 755*m**3 + 625*m**2 - 4000*m + 2500 = 0.
-10, -5, 1
Find j, given that -4*j**3/7 + 3076*j**2/7 + 440*j = 0.
-1, 0, 770
Solve -29*w**4 - 143*w**3 - 193*w**2 - 73*w + 6 = 0 for w.
-3, -1, 2/29
Find v such that -15*v**3 - 95*v**2 + 75*v + 35 = 0.
-7, -1/3, 1
Suppose -605*v**3/4 + 330*v**2 + 2295*v - 5780 = 0. Calculate v.
-4, 34/11
Factor 4*b**4 + 10*b**3 + 8*b**2 + 2*b.
2*b*(b + 1)**2*(2*b + 1)
Factor -4*l**5 - 32*l**4 + 80*l**3 - 8*l**2 - 76*l + 40.
-4*(l - 1)**3*(l + 1)*(l + 10)
Determine b, given that -b**5/4 + b**4/4 + b**3/2 - b**2/2 - b/4 + 1/4 = 0.
-1, 1
Factor -2*v**4/9 - 8*v**3/9 + 440*v**2/9 + 3200*v/9.
-2*v*(v - 16)*(v + 10)**2/9
Suppose -2*c**5/7 + 6*c**4/7 + 130*c**3/7 + 114*c**2/7 - 128*c/7 - 120/7 = 0. What is c?
-6, -1, 1, 10
Let d**2/6 - 37*d/2 + 109/3 = 0. What is d?
2, 109
Factor i**5/9 + i**4/3 - i**3/3 - 7*i**2/9 + 2*i/3.
i*(i - 1)**2*(i + 2)*(i + 3)/9
Solve 5*d**4 - 15*d**3 + 10*d**2 = 0 for d.
0, 1, 2
Factor 10*p**2 + 105*p - 55.
5*(p + 11)*(2*p - 1)
Factor 13*k**4/3 + 362*k**3/3 + 2492*k**2/3 - 392*k/3.
k*(k + 14)**2*(13*k - 2)/3
Solve -2*w**5/9 - 4*w**4/9 + 28*w**3/9 + 16*w**2/3 - 10*w - 12 = 0 for w.
-3, -1, 2, 3
Let 5*t**3 + 45*t**2 - 530*t + 480 = 0. Calculate t.
-16, 1, 6
Factor -2*h**2 - 15808*h - 31236608.
-2*(h + 3952)**2
Factor 5*a**2/2 - 250*a - 505/2.
5*(a - 101)*(a + 1)/2
What is d in 2*d**3 - 622*d**2 = 0?
0, 311
Let -c**3 - 2*c**2 + 8*c = 0. What is c?
-4, 0, 2
Let 5*k**5/7 - 2*k**4/7 - 60*k**3/7 + 104*k**2/7 - 32*k/7 = 0. Calculate k.
-4, 0, 2/5, 2
Let x**5 - 12*x**4 + 39*x**3 - 28*x**2 = 0. What is x?
0, 1, 4, 7
Let d**5/4 - 5*d**4/2 + 9*d**3 - 27*d**2/2 + 27*d/4 = 0. What is d?
0, 1, 3
Factor -8*h**3 - 264*h**2 - 2178*h.
-2*h*(2*h + 33)**2
Factor 3*s**4/2 + 33*s**3/2 + 21*s**2 - 120*s.
3*s*(s - 2)*(s + 5)*(s + 8)/2
Factor 5*y**3 - 115*y**2 - 520*y - 540.
5*(y - 27)*(y + 2)**2
Let -2*v**4/11 - 18*v**3/11 + 216*v/11 = 0. What is v?
-6, 0, 3
Let 2*g**3 - 14*g**2 + 12*g = 0. What is g?
0, 1, 6
Determine l so that -l**3/4 + 67*l**2/4 - 33*l/2 = 0.
0, 1, 66
Factor 2*t**2/5 + 92*t/5 + 858/5.
2*(t + 13)*(t + 33)/5
Determine c, given that -c**4/2 + 7*c**3 - 6*c**2 - 7*c + 13/2 = 0.
-1, 1, 13
Factor 25*y**3 - 36090*y**2 + 13017660*y + 5212840.
5*(y - 722)**2*(5*y + 2)
Factor -570*x**2 - 1706*x + 12.
-2*(x + 3)*(285*x - 2)
Factor -2*q**3/7 - 108*q**2/7 + 720*q/7.
-2*q*(q - 6)*(q + 60)/7
What is z in -2*z**2/5 + 116*z/5 - 114/5 = 0?
1, 57
Solve -7*t**4/3 - 5*t**3/3 + 58*t**2/3 + 68*t/3 - 8 = 0.
-2, 2/7, 3
Factor -21*d**2 - 56433*d - 16122.
-3*(d + 2687)*(7*d + 2)
Find q, given that -4*q**4 + 124*q**3 - 1020*q**2 + 900*q = 0.
0, 1, 15
Suppose -u**4/10 - 2*u**3/5 + 7*u**2/10 + u = 0. What is u?
-5, -1, 0, 2
Find c, given that 2*c**5 - 260*c**4 + 8186*c**3 + 17160*c**2 + 8712*c = 0.
-1, 0, 66
Let -15*y**3 + 234*y**2 - 1152*y + 1824 = 0. What is y?
4, 38/5
Find d, given that -2*d**3/13 - 100*d**2/13 - 192*d/13 = 0.
-48, -2, 0
Factor -v**3 + 17*v**2 + 24*v - 108.
-(v - 18)*(v - 2)*(v + 3)
Suppose 4*j**5/9 - 16*j**4/3 + 47*j**3/3 - 107*j**2/9 + 8*j/3 = 0. Calculate j.
0, 1/2, 3, 8
Solve 55*p**4 - 1090*p**3 + 4695*p**2 - 2960*p - 700 = 0 for p.
-2/11, 1, 5, 14
Find a, given that 4*a**5 - 8*a**4 - 40*a**3 + 80*a**2 + 36*a - 72 = 0.
-3, -1, 1, 2, 3
Factor z**3/3 + 29*z**2/3 - 10*z.
z*(z - 1)*(z + 30)/3
Factor -162*d**4 - 4779*d**3 - 82485*d**2/2 - 139425*d/4 + 2471625/4.
-3*(d - 3)*(6*d + 65)**3/4
Let 2*z**2/13 + 414*z/13 - 32 = 0. What is z?
-208, 1
Suppose 47*a**5/5 - 378*a**4/5 + 768*a**3/5 - 32*a**2/5 = 0. What is a?
0, 2/47, 4
Find c, given that c**4/2 + 17*c**3/2 + 57*c**2/2 + 67*c/2 + 13 = 0.
-13, -2, -1
Let 5*m**2 + 460*m + 10580 = 0. Calculate m.
-46
Factor -4*v**3/3 - 100*v**2/3 - 544*v/3 - 240.
-4*(v + 2)*(v + 5)*(v + 18)/3
Factor -3*l**2/7 - 852*l/7 + 1716/7.
-3*(l - 2)*(l + 286)/7
Factor -p**3/2 + 17*p**2/2 - 35*p.
-p*(p - 10)*(p - 7)/2
What is o in 12*o**4 - 40*o**3 - 36*o**2 + 16*o = 0?
-1, 0, 1/3, 4
Factor 4*f**3/5 - 28*f**2/5 + 24*f/5.
4*f*(f - 6)*(f - 1)/5
Solve -s**5/8 - 2*s**4 + 49*s**3/4 + 419*s**2/2 - 3913*s/8 - 8281/2 = 0.
-13, -4, 7
Factor -5*p**3 + 20*p**2 + 5*p - 20.
-5*(p - 4)*(p - 1)*(p + 1)
Let 2*u**5 + 16*u**4 + 36*u**3 + 32*u**2 + 10*u = 0. What is u?
-5, -1, 0
Factor 2*z**3/9 - 46*z**2/9 - 98*z/9 - 50/9.
2*(z - 25)*(z + 1)**2/9
Factor 4*y**3 + 44*y**2 - 160*y + 112.
4*(y - 2)*(y - 1)*(y + 14)
Suppose 55*a**3/2 + 769*a**2 + 1402*a - 52 = 0. Calculate a.
-26, -2, 2/55
Factor -2*c**3 - 2*c**2 + 34*c - 30.
-2*(c - 3)*(c - 1)*(c + 5)
Suppose 4*i**4 - 56*i**3 - 16*i**2 + 224*i = 0. Calculate i.
-2, 0, 2, 14
Determine g, given that -2*g**3/13 - 76*g**2/13 - 402*g/13 - 576/13 = 0.
-32, -3
Suppose 3*p**2/5 - 48*p/5 + 9 = 0. What is p?
1, 15
Factor p**2/2 + 42*p + 594.
(p + 18)*(p + 66)/2
Factor y**3/5 + 2*y**2 - 163*y/5 + 152/5.
(y - 8)*(y - 1)*(y + 19)/5
Determine s, given that 9*s**2/8 + 25*s/8 - 3/4 = 0.
-3, 2/9
Determine s so that s**5/5 - 23*s**4/5 + 7*s**3 + 143*s**2/5 + 84*s/5 = 0.
-1, 0, 4, 21
Let -3*g**4 + 144*g**3 - 669*g**2 + 1044*g - 516 = 0. Calculate g.
1, 2, 43
Suppose l**4/3 + 4*l**3 - 61*l**2/3 - 84*l - 60 = 0. Calculate l.
-15, -2, -1, 6
Suppose -h**4 + 3*h**3 + 16*h**2 + 12*h = 0. What is h?
-2, -1, 0, 6
Let -36*q**3 + 2292*q**2 + 3104*q + 1040 = 0. What is q?
-2/3, 65
Find c, given that c**2 - 899*c = 0.
0, 899
Factor -2*r**2/7 + 80*r - 5600.
-2*(r - 140)**2/7
Find p such that 5*p**3 - 40*p**2 - 225*p - 180 = 0.
-3, -1, 12
Find r, given that -4*r**2 - 66*r - 90 = 0.
-15, -3/2
Let 4*h**2/5 - 428*h/5 + 2424/5 = 0. Calculate h.
6, 101
Factor -6*p**4/5 - 56*p**3/5 + 118*p**2/15 - 4*p/3.
-2*p*(p + 10)*(3*p - 1)**2/15
Factor -2*h**4 - 14*h**3 + 36*h**2.
-2*h**2*(h - 2)*(h + 9)
Solve 2*x**5 - 16*x**4/5 - 88*x**3/5 - 32*x**2/5 = 0.
-2, -2/5, 0, 4
Determine j so that 440*j**2/9 + 868*j/9 - 8/3 = 0.
-2, 3/110
Let 3*g**2 + 936*g - 7680 = 0. What is g?
-320, 8
Suppose -2*c**3/3 + 280*c**2/9 + 94*c/9 = 0. Calculate c.
-1/3, 0, 47
Find v such that -14*v**4/3 + 872*v**3/3 - 13702*v**2/3 + 3844*v/3 = 0.
0, 2/7, 31
Solve 4*i**5 + 246*i**4 + 3710*i**3 - 2546*i**2 - 9858*i - 3844 = 0.
-31, -1, -1/2, 2
Factor 10*f**4 - 166*f**3 + 866*f**2 - 1442*f + 588.
2*(f - 7)**2*(f - 2)*(5*f - 3)
Suppose -2*p**3/13 - 10*p**2/13 - 16*p/13 - 8/13 = 0. Calculate p.
-2, -1
Determine i, given that -5*i**4 - 25*i**3 + 420*i**2 = 0.
-12, 0, 7
Factor 5*r**2 + 300*r + 295.
5*(r + 1)*(r + 59)
Let -2*q**2/7 - 190*q/7 + 192/7 = 0. What is q?
-96, 1
Factor -u**3/8 + 160*u**2 + 1283*u/2 + 642.
-(u - 1284)*(u + 2)**2/8
Factor d**3/4 + 79*d**2/4 - 20*d.
d*(d - 1)*(d + 80)/4
Factor 3*l**3 + 207*l**2 + 198*l - 408.
3*(l - 1)*(l + 2)*(l + 68)
What is g in 5*g**5 + 55*g**4 + 155*g**3 + 85*g**2 - 160*g - 140 = 0?
-7, -2, -1, 1
Let -2*u**5/17 + 16*u**4/17 - 26*u**3/17 + 12*u**2/17 = 0. Calculate u.
0, 1, 6
Factor i**2/10 + 1159*i/5 + 1343281/10.
(i + 1159)**2/10
Factor -2*k**2 - 68*k - 336.
-2*(k + 6)*(k + 28)
Factor -5*w**2/2 - 335*w - 22445/2.
-5*(w + 67)**2/2
Factor -9*t**3 + 57*t**2 - 48*t - 60.
-3*(t - 5)*(t - 2)*(3*t + 2)
Find g such that -g**2 - 44*g = 0.
-44, 0
Factor h**5/3 - 3*h**4 + 8*h**3 - 20*h**2/3.
h**2*(h - 5)*(h - 2)**2/3
What is w in -w**2/8 + 17*w/2 + 36 = 0?
-4, 72
Find m such that 3*m**4/8 - 315*m**3/8 + 882*m**2 + 8232*m = 0.
-7, 0, 56
Factor -l**3 - 7*l**2 - 16*l - 12.
-(l + 2)**2*(l + 3)
Factor 41*j**4/7 + 121*j**3/7 + 117*j**2/7 + 5*j - 2/7.
(j + 1)**3*(41*j - 2)/7
Factor -20*j**3/3 - 21*j**2 - 49*j/3 - 2.
-(j + 1)*(j + 2)*(20*j + 3)/3
Let -4*q**5/3 - 36*q**4 - 80*q**3/3 + 2944*q**2 - 8064*q + 5184 = 0. What is q?
-18, 1, 2, 6
Let -2*n**2/3 + 6808*n/3 - 5793608/3 = 0. What is n?
1702
Solve 4*s**2 - 92*s + 360 = 0 for s.
5, 18
Fact