 + 3610000.
(m + 1900)**2
Factor -3*p**3 - 48*p**2 - 84*p.
-3*p*(p + 2)*(p + 14)
Suppose -7*p**4 + 577*p**3 - 13500*p**2 + 62852*p + 40432 = 0. Calculate p.
-4/7, 7, 38
Factor 4*s**3 + 132*s**2 - 424*s + 288.
4*(s - 2)*(s - 1)*(s + 36)
What is z in -z**2/2 - 67*z/2 = 0?
-67, 0
Determine h so that 3*h**3/5 - 159*h**2/5 - 3*h/5 + 159/5 = 0.
-1, 1, 53
Suppose 5*t**3 - 20*t = 0. Calculate t.
-2, 0, 2
Find p such that 3*p**4/2 + 60*p**3 + 1071*p**2/2 - 1323*p = 0.
-21, 0, 2
Determine l so that -2*l**5/5 + 46*l**4/5 - 82*l**3/5 - 46*l**2/5 + 84*l/5 = 0.
-1, 0, 1, 2, 21
Find r, given that r**4/9 - 22*r**3/9 + 65*r**2/9 + 676*r/9 = 0.
-4, 0, 13
Factor -27*g**4 + 51*g**3/2 + 3*g**2/2.
-3*g**2*(g - 1)*(18*g + 1)/2
Factor -2*r**2 + 19696*r - 48491552.
-2*(r - 4924)**2
Determine z so that 5*z**4 - 790*z**3 + 31985*z**2 - 61620*z + 30420 = 0.
1, 78
Solve g**4 - 12*g**3 + 41*g**2 - 42*g = 0.
0, 2, 3, 7
Factor -3*o**4 + 6*o**3 + 39*o**2 + 30*o.
-3*o*(o - 5)*(o + 1)*(o + 2)
Let 10*k**3 - 36*k**2 - 82*k + 60 = 0. What is k?
-2, 3/5, 5
Determine b, given that -2*b**4 + 32*b**3 - 92*b**2 - 288*b - 162 = 0.
-1, 9
Determine m so that m**5 + 37*m**4 + 313*m**3 + 727*m**2 + 658*m + 208 = 0.
-26, -8, -1
Factor 2*x**5/5 - 6*x**3/5 - 4*x**2/5.
2*x**2*(x - 2)*(x + 1)**2/5
Suppose b**4/7 - 52*b**3/7 - 107*b**2/7 - 54*b/7 = 0. Calculate b.
-1, 0, 54
Solve d**4 - 727*d**3/5 + 2885*d**2 - 80069*d/5 + 29766/5 = 0.
2/5, 11, 123
Factor 22*i**3/5 - 4*i**2/5.
2*i**2*(11*i - 2)/5
Determine h so that -2*h**3 + 9824*h**2/7 + 2808*h/7 = 0.
-2/7, 0, 702
Let -w**3/5 + 151*w**2/5 + 942*w/5 = 0. What is w?
-6, 0, 157
Suppose -2*k**2 - 616*k - 3624 = 0. Calculate k.
-302, -6
Find i such that -3*i**4 + 615*i**3 - 1818*i**2 - 12*i + 2424 = 0.
-1, 2, 202
Factor 4*x**3 + 1036*x**2 + 77408*x + 1281008.
4*(x + 23)*(x + 118)**2
Factor 3*i**3 + 33*i**2 + 105*i + 75.
3*(i + 1)*(i + 5)**2
Factor 2*x**2/9 - 628*x/9 + 49298/9.
2*(x - 157)**2/9
Suppose -t**3/4 + 1411*t**2/4 - 498435*t/4 + 497025/4 = 0. Calculate t.
1, 705
Factor 3*i**2/5 - 696*i/5 - 1404/5.
3*(i - 234)*(i + 2)/5
Find f, given that f**4/2 + 84*f**3 - 255*f**2 + 256*f - 171/2 = 0.
-171, 1
Find v, given that 676*v**2 + 416*v + 64 = 0.
-4/13
Factor -12*t**3/5 - 56*t**2/5 - 32*t/5.
-4*t*(t + 4)*(3*t + 2)/5
Find x, given that 10*x**2 - 475*x + 235 = 0.
1/2, 47
Factor -4*q**2 + 52*q - 160.
-4*(q - 8)*(q - 5)
Determine v, given that -8*v**3 - 54*v**2 - 34*v + 12 = 0.
-6, -1, 1/4
Factor 3*q**3/8 - 21*q**2/2 - 45*q/2.
3*q*(q - 30)*(q + 2)/8
Find s such that -2*s**2/3 - 124*s/3 - 1922/3 = 0.
-31
Find o such that -2*o**5 - 10*o**4 - 12*o**3 + 8*o**2 + 16*o = 0.
-2, 0, 1
Let 3*v**2/7 - 234*v/7 + 1296/7 = 0. What is v?
6, 72
Suppose 121*p**5/4 + 143*p**4/2 - 755*p**3/4 + 46*p**2 + 37*p + 4 = 0. Calculate p.
-4, -2/11, 1
What is l in -2*l**5/7 - 1080*l**4/7 - 218700*l**3/7 - 19683000*l**2/7 - 664301250*l/7 = 0?
-135, 0
Factor -s**3 + 7*s - 6.
-(s - 2)*(s - 1)*(s + 3)
Determine j, given that 5*j**4 + 20*j**3 - 15*j**2 - 70*j - 40 = 0.
-4, -1, 2
Solve q**3/2 - 177*q**2/4 - 135*q/2 = 0 for q.
-3/2, 0, 90
Solve -v**2 - 4*v + 320 = 0.
-20, 16
Factor 2*a**5/7 - 16*a**4/7 + 10*a**3/7 + 100*a**2/7.
2*a**2*(a - 5)**2*(a + 2)/7
Solve -2*s**5 - s**4 + 14*s**3 + 19*s**2 + 6*s = 0 for s.
-2, -1, -1/2, 0, 3
Factor 2*z**3/9 - 1528*z**2/9 + 299338*z/9 - 2842580/9.
2*(z - 377)**2*(z - 10)/9
Factor 3*o**2/7 - 9*o + 114/7.
3*(o - 19)*(o - 2)/7
Solve 7*i**4 - 21*i**3 + 94*i**2/7 + 12*i/7 - 8/7 = 0.
-2/7, 2/7, 1, 2
Factor q**5/3 - 19*q**4/3 - 14*q**3 - 2*q**2/3 + 41*q/3 + 7.
(q - 21)*(q - 1)*(q + 1)**3/3
Suppose -2*x**2 + 30*x - 100 = 0. Calculate x.
5, 10
What is g in -4*g**2/3 + 544*g - 55488 = 0?
204
Factor -2*j**3 - 122*j**2 + 124*j.
-2*j*(j - 1)*(j + 62)
What is x in x**5 - 14*x**4 + 66*x**3 - 124*x**2 + 101*x - 30 = 0?
1, 5, 6
Find t such that -14*t**5/9 - 16*t**4 - 26*t**3/9 + 16*t**2 + 40*t/9 = 0.
-10, -1, -2/7, 0, 1
Solve -6*w**4/7 - 79*w**3/7 + 4*w**2/7 + 211*w/7 - 130/7 = 0 for w.
-13, -2, 5/6, 1
Factor -3*g**3/2 + 12*g**2 + 183*g/2 + 78.
-3*(g - 13)*(g + 1)*(g + 4)/2
Factor -4*f**4 - 52*f**3 + 76*f**2 + 292*f + 168.
-4*(f - 3)*(f + 1)**2*(f + 14)
Factor 2*w**2/5 - 6*w.
2*w*(w - 15)/5
Let 5*p**3/2 + 5*p**2 = 0. What is p?
-2, 0
Factor 3*b**2 - 90*b + 243.
3*(b - 27)*(b - 3)
Suppose -4*z**5/3 - 32*z**4/3 - 92*z**3/3 - 112*z**2/3 - 16*z = 0. What is z?
-3, -2, -1, 0
Factor -r**4/8 - r**3/4 - r**2/8.
-r**2*(r + 1)**2/8
Find h, given that -3*h**5/4 + 159*h**4/4 + 42*h**3 - 81*h**2 = 0.
-2, 0, 1, 54
Factor -3*p**5 + 147*p**4 - 282*p**3 - 6*p**2 + 285*p - 141.
-3*(p - 47)*(p - 1)**3*(p + 1)
Factor -3*w**5/4 - 135*w**4/4 + 306*w**3 - 636*w**2.
-3*w**2*(w - 4)**2*(w + 53)/4
Factor -2*p**5/15 - 14*p**4/5 - 38*p**3/5 - 22*p**2/3 - 12*p/5.
-2*p*(p + 1)**3*(p + 18)/15
Solve -2*r**2/5 + 4*r/5 + 6 = 0 for r.
-3, 5
Solve -4*i**3/3 - 8*i**2 + 160*i/3 = 0.
-10, 0, 4
Factor 38*d**2 + 256*d/7 - 10/7.
2*(d + 1)*(133*d - 5)/7
Factor 2*p**2 + 2480*p - 2482.
2*(p - 1)*(p + 1241)
Determine i so that 2*i**3/3 - 52*i**2/3 + 130*i/3 + 184/3 = 0.
-1, 4, 23
Determine z so that 5*z**2 - 220*z + 215 = 0.
1, 43
Find o, given that 2*o**5/3 - 4*o**4 - 56*o**3/3 + 4*o**2 + 18*o = 0.
-3, -1, 0, 1, 9
What is b in -b**3/8 - 7*b**2/8 + 9*b/4 = 0?
-9, 0, 2
Factor -21*a**2 + 429*a + 252.
-3*(a - 21)*(7*a + 4)
Determine s, given that -s**5/6 - 5*s**4/3 - 8*s**3/3 + s**2/3 + 17*s/6 + 4/3 = 0.
-8, -1, 1
Determine o, given that -o**2/7 - 684*o/7 + 685/7 = 0.
-685, 1
Factor -o**5/6 + 268*o**4/3 - 34274*o**3/3 - 437336*o**2/3 - 1784288*o/3 - 2402432/3.
-(o - 274)**2*(o + 4)**3/6
Factor -2*g**4/19 + 416*g**3/19 - 1640*g**2/19 + 1632*g/19.
-2*g*(g - 204)*(g - 2)**2/19
Factor -2*g**4 + 32*g**3 + 114*g**2 + 8*g - 152.
-2*(g - 19)*(g - 1)*(g + 2)**2
Find u, given that 2*u**4/7 - 8*u**3/7 - 12*u**2/7 + 8*u/7 + 10/7 = 0.
-1, 1, 5
Suppose -4*w**2 - 700*w + 704 = 0. Calculate w.
-176, 1
Factor -2*o**2/9 + 14*o/3 - 20.
-2*(o - 15)*(o - 6)/9
Factor 2*q**2/5 + 44*q/5 + 42/5.
2*(q + 1)*(q + 21)/5
Determine y so that -3*y**2 - 4470*y - 1665075 = 0.
-745
Let -i**3/9 - 47*i**2/9 + i/9 + 47/9 = 0. What is i?
-47, -1, 1
Determine z so that 4*z**3/7 + 796*z**2/7 - 2416*z/7 + 1616/7 = 0.
-202, 1, 2
Let 2*b**2/7 - 44*b/7 + 114/7 = 0. Calculate b.
3, 19
Factor -3*y**2/7 + 3*y + 1482/7.
-3*(y - 26)*(y + 19)/7
Find x such that -x**5/4 - 9*x**4/2 + 5*x**3/4 + 45*x**2/2 - x - 18 = 0.
-18, -2, -1, 1, 2
Determine t so that 2*t**2/9 - 52*t/9 - 112/9 = 0.
-2, 28
Determine p, given that -2*p**5 - 12*p**4 - 4*p**3 + 96*p**2 + 198*p + 108 = 0.
-3, -2, -1, 3
Find j such that -j**2/6 - 16*j - 384 = 0.
-48
Factor 2*y**3/11 + 18*y**2/11 - 68*y/11 + 48/11.
2*(y - 2)*(y - 1)*(y + 12)/11
Factor -2*t**4 + 28*t**3 - 48*t**2.
-2*t**2*(t - 12)*(t - 2)
Factor 2*q**3/5 - 164*q**2/5 - 334*q/5 - 168/5.
2*(q - 84)*(q + 1)**2/5
Factor 4*q**2 - 272*q + 3024.
4*(q - 54)*(q - 14)
Determine w so that -74*w**3 - 32*w**2 + 42*w = 0.
-1, 0, 21/37
Determine f so that 2*f**5/9 - 158*f**4/3 + 938*f**3/9 + 158*f**2/3 - 940*f/9 = 0.
-1, 0, 1, 2, 235
Factor 4*n**2 - 12*n - 72.
4*(n - 6)*(n + 3)
Find p, given that -9*p**2/2 + 16*p = 0.
0, 32/9
Determine c so that -4*c**5 + 212*c**4 - 3676*c**3 + 20588*c**2 + 3680*c - 20800 = 0.
-1, 1, 13, 20
Determine i so that -2*i**5 + 1208*i**4 - 182408*i**3 = 0.
0, 302
Suppose 4*i**4/7 - 12*i**3/7 - 64*i**2/7 - 48*i/7 = 0. What is i?
-2, -1, 0, 6
What is r in -3*r**4 + 174*r**3 - 2688*r**2 + 4704*r = 0?
0, 2, 28
Find r, given that -3*r**3 + 201*r**2 + 624*r + 420 = 0.
-2, -1, 70
Factor 3*n**3/4 - 219*n**2/4 + 1533*n/2 - 1320.
3*(n - 55)*(n - 16)*(n - 2)/4
Find u such that 3*u**2 - 135*u + 258 = 0.
2, 43
Solve 2*b**5 + 10*b**4 + 16*b**3 + 8*b**2 = 0 for b.
-2, -1, 0
Factor -2*z**2/9 - 28*z/9 + 784/9.
-2*(z - 14)*(z + 28)/9
Determine d so that -d**5/4 + d**4 + 3*d**3/2 - d**2 - 5*d/4 = 0.
-1, 0, 1, 5
Let -12*q**2 - 567*q - 141 = 0. What is q?
-47, -1/4
Find r, given that 2*r**5/3 + 22*r**4/3 + 10*r**3/3 - 94*r**2/3 + 20*r = 0.
-10, -3, 0, 1
Factor -2*u**2/3 + 320*u/3 - 12800/3.
-2*(u - 80)**2/3
Factor o**3/9 - 11*o**2/9 - 46*o/9 + 56/9.
(o - 14)*(o - 1)*(o + 4)/9
Factor -3*g**2/8 + 159*g/2 - 8427/2.
-3*(g - 106)**2/8
Solve -3*w**2 + 1326*w - 146523 = 0 for w.
221
Factor -14*q**3 + 1222*q**2 - 1552*q + 344.
-2*(q - 86)*(q - 1)*