2*n - 130*n**2 + 257*n**b = 0.
-4, 0
Let b(i) be the first derivative of -16/33*i**3 + 185 + 0*i + 7/11*i**2 + 1/22*i**4. Factor b(a).
2*a*(a - 7)*(a - 1)/11
Suppose 227/3*a**3 + 1085*a**2 + 16025/3*a + 1/3*a**4 + 26500/3 = 0. Calculate a.
-212, -5
Suppose -2*r = 2*d, 5 - 17 = r - 3*d. Let o be (-2*r/(-8))/(7/(-28)). What is x in -24*x - 3*x**2 - 4 - 48*x**o + 63*x**2 - 16*x**4 - 112*x**2 = 0?
-1, -1/2
Let l(m) = -4*m**2 - 5*m - 1. Let j(z) = -7*z**2 - 520*z - 513. Let w(y) = j(y) - 3*l(y). Factor w(u).
5*(u - 102)*(u + 1)
Solve -4/15*k**3 + 326/15*k**2 + 502/15*k - 332/15 = 0.
-2, 1/2, 83
Suppose 13/6*o - 67/3*o**2 + 19 + 10/3*o**4 - 1/6*o**5 - 2*o**3 = 0. Calculate o.
-2, -1, 1, 3, 19
Let c(f) be the second derivative of -f**5/40 + 17*f**4/32 + f**3/12 - 51*f**2/16 - 856*f. Solve c(j) = 0 for j.
-1, 1, 51/4
Let w(z) = -z**3 + z**2 + 9*z - 9. Let y be w(3). Suppose y*j - 3*j = -12. Suppose -2*o - 15*o**3 + 17*o - 4*o**4 - o**j + 5*o**2 = 0. Calculate o.
-3, -1, 0, 1
Let y(d) be the first derivative of -104 + 46/9*d**3 + 1/3*d**4 + 50*d + 80/3*d**2. Let y(s) = 0. What is s?
-5, -3/2
Let b(q) be the first derivative of -121*q**6/10 - 2409*q**5/25 - 27*q**4 + 320*q**3 - 816*q**2/5 + 144*q/5 - 157. Let b(i) = 0. Calculate i.
-6, -2, 2/11, 1
Let j(p) be the third derivative of p**5/40 - 145*p**4/4 + p**2 + 756*p. Factor j(y).
3*y*(y - 580)/2
Suppose 5*z = 4*q, 5*q + 4*z - 12 - 29 = 0. Let g be 18 + (0/(-3) - 2). Solve 4*d**3 - g*d**2 + q*d - 13*d + 20*d**2 = 0.
-2, 0, 1
Let w be 78177/12978 + (-9 - (-1 - 2)). Let s(j) be the second derivative of 27*j - 1/7*j**3 + 2/7*j**2 + 0 + w*j**4. Let s(a) = 0. Calculate a.
1, 2
Let g(z) be the third derivative of -z**7/70 + z**6/8 + z**5/20 - 5*z**4/8 + 1037*z**2. Solve g(d) = 0.
-1, 0, 1, 5
Let i(p) be the third derivative of -p**7/945 - 7*p**6/540 - p**5/45 + p**2 + 199. Let i(h) = 0. Calculate h.
-6, -1, 0
Factor 96 + 125/4*i - 1/4*i**2.
-(i - 128)*(i + 3)/4
Let s be 0 + (-4)/34 + (-60)/(-510). Let f be 15/8 + ((-8)/(-64) - s). Factor -6/5*q - 4/5*q**3 + 1/5 + 9/5*q**f.
-(q - 1)**2*(4*q - 1)/5
Factor 41156*z - 24036*z + 1080*z**2 + 5*z**3 + 41200*z.
5*z*(z + 108)**2
Let y = 86181/13262 - -11/6631. Suppose -y + 1/2*c**3 - 1/2*c + 13/2*c**2 = 0. Calculate c.
-13, -1, 1
Let p(j) be the second derivative of j**6/50 - 93*j**5/100 + 31*j**4/4 - 25*j**3/2 - 276*j. Factor p(r).
3*r*(r - 25)*(r - 5)*(r - 1)/5
Let p be (2 + (-31)/12)*(12/20)/(92/(-230)). Find l, given that 9/4 + p*l - 1/8*l**2 = 0.
-2, 9
Let q(z) = -20*z + 248. Let x be q(13). Let v be (x/45)/(108/(-360)). Factor v*t + 8/9 + 2/9*t**2.
2*(t + 2)**2/9
Determine d so that 155*d**3 - 308*d**3 - 110*d**2 + 157*d**3 + 406*d**2 = 0.
-74, 0
Let t = -3007 + 3009. Let f(c) be the first derivative of 14 + 0*c + 0*c**4 + 1/35*c**5 - 1/21*c**3 + 0*c**t. Let f(y) = 0. Calculate y.
-1, 0, 1
Suppose 1/2*a**3 + 5*a + 7/2*a**2 + 0 = 0. Calculate a.
-5, -2, 0
Let c(s) be the first derivative of 2*s**3/15 + 14*s**2/5 - 144*s/5 + 3230. Factor c(b).
2*(b - 4)*(b + 18)/5
Let z = 5 + 3. Let w be -36*(1 - z/6). Find a, given that -3 - 4*a**5 - 28*a**3 + a**5 + a**5 + 7 - 18*a + w*a**4 + 32*a**2 = 0.
1, 2
Let a = -1652/363 + 591/121. Determine w so that 10/3*w + 25/3 + a*w**2 = 0.
-5
Let i = -4242 + 4245. Let d(f) be the third derivative of 1/24*f**4 - 1/8*f**i + 0*f - 1/240*f**5 - 20*f**2 + 0. Factor d(q).
-(q - 3)*(q - 1)/4
Suppose -14*g + 6 = -12*g. Factor c**4 + 12*c**2 + c**4 - 10*c**3 + 10*c**g + 10*c**3.
2*c**2*(c + 2)*(c + 3)
Let s(k) be the first derivative of -2/3*k**3 - 36*k - 37 - 11*k**2. Factor s(z).
-2*(z + 2)*(z + 9)
Let x(f) be the first derivative of f**3/5 + 336*f**2/5 - 4063. Determine j so that x(j) = 0.
-224, 0
Factor 144 + 87/2*y - 3/2*y**2.
-3*(y - 32)*(y + 3)/2
Let i = -100 + 83. Let x(z) = -z**2 - 17*z + 2. Let j be x(i). Determine g, given that 9*g - 6*g**j + 7*g**2 - 11*g - 3 = 0.
-1, 3
Let o = -174 - -176. Let -65*f**o - 18 - 85*f + 22 - 24 = 0. Calculate f.
-1, -4/13
Let g = -356029/90 - -36286/9. Let l = 13183/170 - g. Determine r, given that -8/17*r**2 + 0 - 6/17*r**5 - 38/17*r**3 - l*r**4 + 8/17*r = 0.
-2, -1, 0, 1/3
Let w = -55734 + 55739. Let 0 - w*j - 5/4*j**2 = 0. Calculate j.
-4, 0
Let r(p) be the third derivative of -p**5/300 + 43*p**4/12 - 9245*p**3/6 - 10*p**2 - p - 69. Factor r(t).
-(t - 215)**2/5
Let 428 - 366 + 2695*h**4 - 380*h + 4635*h**3 + 1985*h**2 - 43*h**5 - 242 + 288*h**5 = 0. What is h?
-9, -1, -2/7, 2/7
Let i(s) = 2*s - 4. Let t be i(4). Factor 12*p**2 - 3*p**t - 217 + 14*p**3 + 5*p**4 + 217.
2*p**2*(p + 1)*(p + 6)
Let h be 34 + -28 - 610/102. Let o(y) be the second derivative of 1/102*y**4 - 2/17*y**2 - h*y**3 + 0 - 5*y. Factor o(x).
2*(x - 2)*(x + 1)/17
Let m(u) be the second derivative of 2*u**6/5 + 423*u**5/4 + 8128*u**4 + 63210*u**3 + 44376*u**2 - 3431*u. What is o in m(o) = 0?
-86, -4, -1/4
Factor -24576/5 + 378/5*l**2 - 3/5*l**3 - 2304*l.
-3*(l - 64)**2*(l + 2)/5
Solve -5/2*t**4 - 1015/2*t - 65/2*t**3 + 515/2*t**2 + 285 = 0 for t.
-19, 1, 2, 3
Factor 1/3*r**3 + 65/3*r + 676/3 - 22/3*r**2.
(r - 13)**2*(r + 4)/3
Let x be 36773/5115 - 8 - (-2)/15. Let v = -1/93 - x. Solve -v*b**2 - 1/9 - 7/9*b = 0 for b.
-1, -1/6
Let i be 98/(-21) - (0 - 6). Suppose -12*j - 125 = -75 - 74. Factor -1/3*v**3 + 0 - i*v - 5/3*v**j.
-v*(v + 1)*(v + 4)/3
Let v(m) be the first derivative of 2*m**5/5 - 47*m**4/2 + 480*m**3 - 3564*m**2 + 1460. Let v(c) = 0. Calculate c.
0, 11, 18
Let z(m) = 84*m**2 - 1320*m - 1372. Let v(h) = -13*h**2 + 203*h + 211. Let s(a) = 32*v(a) + 5*z(a). Determine d so that s(d) = 0.
-1, 27
Let a(y) be the first derivative of -54*y**5/5 + 285*y**4/2 + 7588*y**3/9 + 1556*y**2/3 + 112*y - 1684. Solve a(n) = 0.
-3, -2/9, 14
Let g(v) = -2*v**3 - 60*v**2 - 163*v - 25. Let j be g(-27). Let 0*t**j + 0*t + 1/6*t**4 + 0 + 11/6*t**3 = 0. What is t?
-11, 0
Let o(i) = i - 1. Let g(u) = 10*u - 29. Let k be g(3). Let l(y) = y**2 + 36*y - 37. Let b(s) = k*l(s) + 2*o(s). Factor b(v).
(v - 1)*(v + 39)
Let z(l) = -10*l**2 + 67*l - 10*l**2 + 1111*l**3 - 44 - 1112*l**3. Let d be z(-23). Factor -1/2*j**3 + 1/2*j**d + 1/2*j + 0 - 1/2*j**4.
-j*(j - 1)*(j + 1)**2/2
Let m(t) be the first derivative of -12 - 11*t + 18/7*t**2 + 1/21*t**4 - 4/7*t**3. Let w(b) be the first derivative of m(b). Factor w(i).
4*(i - 3)**2/7
Let s = 11009249/9 + -1223249. Find i such that 4/3*i**3 + 0 - 16/3*i + 2/9*i**4 - s*i**2 = 0.
-6, -2, 0, 2
Let c(x) be the first derivative of -x**3/6 - 103*x**2/2 + 854. Determine h so that c(h) = 0.
-206, 0
Let q be ((-6)/9)/((-26)/195). Suppose -x + 15 = q*m, -2*m + 14 + 19 = -5*x. Determine g so that -4/5 + 8/5*g + 7/5*g**2 + 6/5*g**m - 17/5*g**3 = 0.
-2/3, 1/2, 1, 2
Let r be (-5 - (-25)/(-11 + 16))/(-2). Factor -4/15*j**3 + 2/5*j**2 + r*j + 0 - 2/15*j**4.
-2*j**2*(j - 1)*(j + 3)/15
Suppose 48/7*k + 0 + 20/7*k**3 - 8*k**2 - 2/7*k**4 = 0. What is k?
0, 2, 6
Factor 3/8*u**2 + 81/2 + 9*u.
3*(u + 6)*(u + 18)/8
Let v(h) = 6*h**2 - 204*h + 752. Let q(m) = 7*m**2 - 206*m + 760. Let b(i) = -2*q(i) + 3*v(i). Factor b(p).
4*(p - 46)*(p - 4)
Let u be 7/(-42)*42 - (-36)/3. Let d(i) be the second derivative of -2*i**3 - 1/4*i**4 - 1/80*i**u - 8*i**2 - 3*i + 0. Factor d(z).
-(z + 4)**3/4
Factor -328/7*q - 2/7*q**3 - 320/7 - 88/7*q**2.
-2*(q + 2)**2*(q + 40)/7
Let o be (((-185)/900)/37)/((-3)/(-27)*-3). Let g(a) be the second derivative of 18*a - 1/9*a**4 + 0*a**2 + 0*a**3 + 0 + o*a**5. Determine j so that g(j) = 0.
0, 4
Let p(h) be the second derivative of h**4/48 - 35*h**3/24 - 37*h**2/4 - 637*h + 2. Factor p(o).
(o - 37)*(o + 2)/4
Let v = -803 - -771. Let u be (4/v*6)/((-399)/304). Factor 0*s - u*s**4 + 0*s**2 + 2/7*s**5 + 2/7*s**3 + 0.
2*s**3*(s - 1)**2/7
Let d be (0 + -9)/54*(-54)/36. Find m such that 15/4*m**3 + 40*m - 24 - d*m**4 - 39/2*m**2 = 0.
1, 4, 6
Let i(h) = -20*h**2 + 796*h. Let q(w) = -9*w**2 + 396*w. Let j(n) = -3*i(n) + 7*q(n). Factor j(u).
-3*u*(u - 128)
Let i = -66867/5 + 66888/5. Find n, given that -23/5*n**2 - 43/5*n - 1/5*n**3 - i = 0.
-21, -1
Suppose 10 = -5*s + 4*g - 6, 2*s + 20 = 5*g. Let r be 32/(-20) - (-1 + s)*4. Factor 2/5*j**2 + 2*j - r.
2*(j - 1)*(j + 6)/5
Suppose 87*r - 78 = -16*r + 231. Let u(t) be the third derivative of 3*t**2 + 2*t**4 - 9/20*t**5 + 0*t + 2*t**r + 0. Let u(i) = 0. Calculate i.
-2/9, 2
