7.
-2*(a + 5)*(a + 27)/7
Solve 5*q**2 - 1320*q + 87120 = 0.
132
Suppose 54289*u**2/10 + 2796*u/5 + 72/5 = 0. Calculate u.
-12/233
Suppose -361*f**5/2 - 13946*f**4 - 278042*f**3 - 334704*f**2 - 103968*f = 0. What is f?
-38, -12/19, 0
Let u**3 - 3*u**2 - 22*u + 24 = 0. What is u?
-4, 1, 6
Suppose p**5 + 2*p**4 - 3*p**3 - 8*p**2 - 4*p = 0. What is p?
-2, -1, 0, 2
Find f, given that 3*f**4 - 279*f**3 + 1047*f**2 + 1899*f - 2670 = 0.
-2, 1, 5, 89
Factor 2*c**3 - 84*c**2 + 882*c.
2*c*(c - 21)**2
Factor -2*z**5 + 48*z**4 + 212*z**3 + 328*z**2 + 222*z + 56.
-2*(z - 28)*(z + 1)**4
What is b in -2*b**5/5 - 52*b**4/5 - 458*b**3/5 - 1784*b**2/5 - 608*b - 1664/5 = 0?
-13, -4, -1
Factor -5*k**2 - 2185*k.
-5*k*(k + 437)
Let 14*s**5/3 - 74*s**4/3 + 16*s**3 + 104*s**2/3 - 32*s/3 = 0. Calculate s.
-1, 0, 2/7, 2, 4
Factor y**3/2 + 5*y**2 + 14*y + 12.
(y + 2)**2*(y + 6)/2
Determine q, given that 4*q**2 + 76*q - 1488 = 0.
-31, 12
Suppose 4*k**5/7 + 244*k**4/7 - 4*k**3/7 - 244*k**2/7 = 0. Calculate k.
-61, -1, 0, 1
Factor g**3/5 + 8*g**2 - 1121*g/5.
g*(g - 19)*(g + 59)/5
Solve 5*f**3 + 80*f**2 + 205*f + 130 = 0.
-13, -2, -1
Suppose -5*l**3 - 2490*l**2 = 0. Calculate l.
-498, 0
Factor -2*i**2/7 + 15388*i/7 - 29598818/7.
-2*(i - 3847)**2/7
Factor -q**3/2 - 199*q**2 - 37961*q/2 + 164836.
-(q - 8)*(q + 203)**2/2
Determine q so that -2*q**2/3 - 166*q/3 + 56 = 0.
-84, 1
Find f, given that -f**3/2 + 5*f**2 + f/2 - 5 = 0.
-1, 1, 10
Factor -o**5 - 7*o**4 - 12*o**3 + 4*o**2 + 16*o.
-o*(o - 1)*(o + 2)**2*(o + 4)
Let 5*b**3 - 80*b**2 + 145*b - 70 = 0. What is b?
1, 14
Find o such that 15*o**4 + 249*o**3 - 42*o**2 - 2904*o + 1152 = 0.
-16, -4, 2/5, 3
Let 4*b**2 - 64*b + 112 = 0. Calculate b.
2, 14
Factor -2*v**3 + 7232*v**2/3 - 725610*v - 484812.
-2*(v - 603)**2*(3*v + 2)/3
Determine k so that 4*k**5 + 20*k**4 + 28*k**3 + 12*k**2 = 0.
-3, -1, 0
Factor -2*b**5/7 + 24*b**4/7 - 60*b**3/7 + 8*b**2 - 18*b/7.
-2*b*(b - 9)*(b - 1)**3/7
Factor 12*s**4 - 380*s**3 + 2944*s**2 + 1024*s.
4*s*(s - 16)**2*(3*s + 1)
Factor -k**2/3 + 19*k/3 - 88/3.
-(k - 11)*(k - 8)/3
Factor -9*r**4 + 15*r**3 - 7*r**2 + r.
-r*(r - 1)*(3*r - 1)**2
Factor 2*s**3/11 + 16*s**2/11 + 32*s/11.
2*s*(s + 4)**2/11
Suppose -4*q**5 + 115*q**4/2 - 17*q**3 - 115*q**2/2 + 21*q = 0. What is q?
-1, 0, 3/8, 1, 14
Factor 2*j**5 + 10*j**4 - 6*j**3 - 34*j**2 - 20*j.
2*j*(j - 2)*(j + 1)**2*(j + 5)
Find d such that -98*d**5/5 - 1344*d**4/5 - 4146*d**3/5 - 5372*d**2/5 - 3192*d/5 - 144 = 0.
-10, -1, -6/7
Determine d, given that -2*d**5/5 + 28*d**4/5 - 144*d**3/5 + 64*d**2 - 256*d/5 = 0.
0, 2, 4
Determine t, given that 2*t**3/3 - 10*t**2/3 = 0.
0, 5
Factor -9*d**4 + 78*d**3 - 111*d**2 + 42*d.
-3*d*(d - 7)*(d - 1)*(3*d - 2)
Factor -t**3 + 8*t**2 + 19*t + 10.
-(t - 10)*(t + 1)**2
Factor -18*i**3 + 58*i**2 - 48*i + 8.
-2*(i - 2)*(i - 1)*(9*i - 2)
Suppose -n**3/4 - 3*n**2/2 - 9*n/4 - 1 = 0. What is n?
-4, -1
Find w, given that -3*w**2 + 48*w - 45 = 0.
1, 15
Factor 2*g**2/7 - 1760*g/7.
2*g*(g - 880)/7
Suppose 2*y**3/5 + 218*y**2/5 + 216*y/5 = 0. Calculate y.
-108, -1, 0
Find r such that -6*r**2 - 10996*r - 7328 = 0.
-1832, -2/3
Let 400*d**5 - 1280*d**4 - 156*d**3 + 1268*d**2 - 244*d + 12 = 0. What is d?
-1, 1/10, 1, 3
Factor -2*k**2/17 - 412*k/17 - 410/17.
-2*(k + 1)*(k + 205)/17
Suppose -r**2/2 - 22*r - 242 = 0. What is r?
-22
Solve -35*v**4/2 - 73*v**3 - 78*v**2 + 4*v + 16 = 0.
-2, -4/7, 2/5
Determine k so that 2*k**2/3 + 344*k/3 + 14792/3 = 0.
-86
Let -10*c**5 - 18*c**4 + 4*c**3 + 20*c**2 + 6*c - 2 = 0. What is c?
-1, 1/5, 1
Find k, given that 3*k**3/2 - 9*k**2/2 - 6*k = 0.
-1, 0, 4
Factor -3*n**4 + 45*n**3 - 189*n**2 + 147*n.
-3*n*(n - 7)**2*(n - 1)
Suppose n**4/4 - 35*n**3/4 + 67*n**2/4 - 33*n/4 = 0. Calculate n.
0, 1, 33
Solve 25*q**5 + 135*q**4 + 275*q**3 + 265*q**2 + 120*q + 20 = 0.
-2, -1, -2/5
Factor 3*g**2 - 141*g.
3*g*(g - 47)
Find k, given that -4*k**4/5 + 1172*k**3/5 + 3544*k**2/5 + 2368*k/5 = 0.
-2, -1, 0, 296
What is x in -2*x**3 - 6082*x**2 - 24304*x - 24296 = 0?
-3037, -2
Factor -d**3/2 - 1497*d**2/2 - 747003*d/2 - 124251499/2.
-(d + 499)**3/2
Let -c**5/4 + 3*c**4/2 + c**3/4 - 19*c**2/2 + 8 = 0. Calculate c.
-2, -1, 1, 4
Factor 2*w**3/7 - 456*w**2/7 - 918*w/7 - 460/7.
2*(w - 230)*(w + 1)**2/7
Solve 5*w**5 + 80*w**4 - 105*w**3 - 320*w**2 + 340*w = 0 for w.
-17, -2, 0, 1, 2
Let 2*p**3 + 40*p**2 - 42*p = 0. What is p?
-21, 0, 1
Let -3*c**2/2 - 1335*c - 594075/2 = 0. Calculate c.
-445
Factor 3*w**2 + 30*w - 225.
3*(w - 5)*(w + 15)
Factor -2*f**2/9 - 26*f/9 - 8.
-2*(f + 4)*(f + 9)/9
Factor -2*g**2 + 2*g + 40.
-2*(g - 5)*(g + 4)
Determine u so that -8*u**3 + 580*u**2 - 288*u = 0.
0, 1/2, 72
Suppose 3*m**5 - 105*m**4 + 969*m**3 - 867*m**2 = 0. Calculate m.
0, 1, 17
Factor 3*s**4 + 66*s**3 + 531*s**2 + 1836*s + 2268.
3*(s + 3)*(s + 6)**2*(s + 7)
Factor 4*y**2/7 - 284*y/7.
4*y*(y - 71)/7
Factor -13778*n**2/5 - 332*n/5 - 2/5.
-2*(83*n + 1)**2/5
Factor -5*a**4/3 - 13*a**3/3 - 11*a**2/3 - a.
-a*(a + 1)**2*(5*a + 3)/3
What is i in 2*i**3/7 - 100*i**2/7 = 0?
0, 50
Factor -2*u**3 + 26*u + 24.
-2*(u - 4)*(u + 1)*(u + 3)
Factor 24*o**3/7 + 429*o**2/7 + 405*o/7.
3*o*(o + 1)*(8*o + 135)/7
Determine m so that -2*m**3/3 + 566*m**2/3 - 1126*m/3 + 562/3 = 0.
1, 281
Factor 2*h**2/3 + 1510*h/3.
2*h*(h + 755)/3
What is l in 2*l**3/9 - 20*l**2/9 - 2*l/9 + 20/9 = 0?
-1, 1, 10
Solve 4*m**4/5 - 24*m**3/5 - 28*m**2/5 = 0 for m.
-1, 0, 7
Find v such that -3*v**3/5 + 3*v**2/5 + 18*v/5 = 0.
-2, 0, 3
Solve -3*s**3/4 + 9*s**2/4 + 9*s/2 - 6 = 0 for s.
-2, 1, 4
Factor -h**3/5 + 23*h**2/5 - 107*h/5 + 17.
-(h - 17)*(h - 5)*(h - 1)/5
Determine z so that 5*z**4 - 14*z**3 - 83*z**2 - 76*z - 12 = 0.
-2, -1, -1/5, 6
What is c in -c**5 + 260*c**4 + 527*c**3 - 782*c**2 - 1052*c + 1048 = 0?
-2, 1, 262
Factor -6*y**2 + 381*y - 189.
-3*(y - 63)*(2*y - 1)
Let 5*s**5 + 40*s**4 + 75*s**3 - 100*s**2 - 380*s - 240 = 0. Calculate s.
-4, -3, -2, -1, 2
Factor -t**3/3 + 13*t**2/3 + 14*t/3.
-t*(t - 14)*(t + 1)/3
What is o in 10*o**4/7 - 124*o**3/7 + 16*o**2 + 444*o/7 + 198/7 = 0?
-1, -3/5, 3, 11
Factor -3*g**3 + 3*g**2 + 48*g - 48.
-3*(g - 4)*(g - 1)*(g + 4)
Factor -13*q**3/4 - 20*q**2 - 3*q.
-q*(q + 6)*(13*q + 2)/4
Determine s, given that -22*s**2/19 - 12*s/19 = 0.
-6/11, 0
Determine p so that -p**2/2 + 9*p + 19/2 = 0.
-1, 19
Determine z, given that -z**5 - 10*z**4 - 32*z**3 - 32*z**2 = 0.
-4, -2, 0
Factor 2*k**2 + 5772*k + 4164498.
2*(k + 1443)**2
Find i such that i**3/4 + 61*i**2/4 + 15*i = 0.
-60, -1, 0
Factor 4*h**2 - 440*h + 864.
4*(h - 108)*(h - 2)
Solve -5*y**4/4 - 11310*y**3 - 38374830*y**2 - 57869243640*y - 32725057278420 = 0 for y.
-2262
Solve -3*j**5 + 138*j**4 - 1584*j**3 - 138*j**2 + 1587*j = 0 for j.
-1, 0, 1, 23
Factor 4*x**2 + 4208*x + 4204.
4*(x + 1)*(x + 1051)
Determine t so that -975*t**5/2 - 9385*t**4/4 - 6261*t**3/2 - 6087*t**2/4 - 253*t - 3 = 0.
-3, -1, -2/5, -1/78
Determine c so that 2*c**3/5 + 194*c**2/5 - 160*c + 808/5 = 0.
-101, 2
Determine t, given that 5*t**4 + 530*t**3 + 4440*t**2 + 7150*t - 12125 = 0.
-97, -5, 1
Factor -2*w**2 + 22*w - 48.
-2*(w - 8)*(w - 3)
Find j such that -2*j**3/17 + 122*j**2/17 - 70*j - 22050/17 = 0.
-9, 35
Solve 2*r**4/3 + 146*r**3 + 9638*r**2 + 312050*r/3 - 5916468 = 0 for r.
-79, 18
Factor -4*h**2 - 7464*h + 7468.
-4*(h - 1)*(h + 1867)
Factor -2*q**2/7 + 206*q/7 + 208/7.
-2*(q - 104)*(q + 1)/7
Suppose 15*y**4 + 175*y**3 - 60*y**2 = 0. Calculate y.
-12, 0, 1/3
Factor -4*u**3/5 + 8*u**2 + 92*u/5 - 528/5.
-4*(u - 11)*(u - 3)*(u + 4)/5
Factor 3*y**2 + 129*y + 1218.
3*(y + 14)*(y + 29)
Let -2*m**2/3 + 454*m/9 + 152/9 = 0. What is m?
-1/3, 76
Solve -18*g**2 - 9140*g + 2032 = 0 for g.
-508, 2/9
Solve -10*x**3/7 + 86*x**2/7 - 208*x/7 + 96/7 = 0 for x.
3/5, 4
Suppose 4*o**5 - 4*o**4 - 72*o**3 - 56*o**2 + 68*o + 60 = 0. Calculate o.
-3, -1, 1, 5
Suppose -3*i**4/7 + 17*i**3/7 + 51*i**2/7 - 285*i/7 - 100/7 = 0. Calculate i.
-4, -1/3, 5
Factor -3*b**2 - 78*b - 144.
-3*(b + 2)*(b + 24)
Factor -206*w**2/13 - 4*w/13.
-2*w*(103*w + 2)/13
Factor 7*n**5/5 + 13*n**4 + 228*n**3/5 + 368*n**2/5 + 256*n/5 + 48/5.
(n + 2)**3*(n + 3)*(7*n + 2)/5
What is j in -j**4 + 100*j**3 - 3172*j**2 + 32448*j = 0?
0, 26, 48
Determine n so that 2*n**2/3 - 2012*n/3 + 506018/3 = 0.
503
Solve -c**5/5 - 49*c**4/5 + 6*c**3/5 + 302*c**2/5 + 79*c + 147/5 = 0.
-49, -1,