*3 + 4*x**2 - m.
4*x**2*(x + 1)
Let p be 7/(2*4/72). Let h = 85 - p. Find m such that 6*m - 5*m**2 - 14*m - h*m = 0.
-6, 0
Factor -925*h**2 - 201*h**4 - 4347*h**3 - 273*h**3 - 184*h**4 + 410*h**4.
5*h**2*(h - 185)*(5*h + 1)
Let a be ((-1)/4)/(-243 + 241). Let h(g) be the first derivative of -5/6*g**3 + a*g**4 + 3/2*g**2 - 9 + 0*g. Let h(m) = 0. Calculate m.
0, 2, 3
Let j be (-787808)/1260*50/(-4). Let n = 7824 - j. Factor 0 + 0*b + n*b**3 - 8/9*b**2.
4*b**2*(19*b - 2)/9
Let g(j) be the first derivative of -11/2*j**2 - 1/12*j**5 - 5/24*j**4 + 0*j**3 + 1 + 0*j. Let w(y) be the second derivative of g(y). Find q such that w(q) = 0.
-1, 0
Let q = 1424 - 1404. Suppose -q*b + 330 - 90 = 0. Suppose -20/3*s**2 + 4/3*s + 0 + 4*s**3 + b*s**4 = 0. Calculate s.
-1, 0, 1/3
Let k be (90/8)/15 - 13/20. Let z(l) be the third derivative of 0*l + l**3 + 0 - 1/60*l**6 + 12*l**2 - k*l**5 + 1/12*l**4. Let z(u) = 0. What is u?
-3, -1, 1
Let b be (30/(-16))/(165/(-132)) + (-6)/(-4). Factor 5*l - 10*l**b + 35/2*l**2 + 0.
-5*l*(l - 2)*(4*l + 1)/2
Let j(r) be the third derivative of -r**8/84 + 4*r**7/105 + 7*r**6/15 - 8*r**5/5 - 15*r**4/2 + 36*r**3 - 792*r**2. Solve j(i) = 0 for i.
-3, -2, 1, 3
Suppose 8*p - 3*p + j = 6, 8 = -2*j. Determine c so that -c**2 - 40 + 35*c - 4*c**p - 5*c = 0.
2, 4
Suppose 228*a + 215*a = 71*a + 4464. Find g such that 1/2*g**3 - 9/2*g**2 - 8 + a*g = 0.
1, 4
Let q(o) be the third derivative of -o**9/15120 + o**8/26880 + 3*o**4/8 + o**3 + 14*o**2 - o. Let t(k) be the second derivative of q(k). Factor t(f).
-f**3*(4*f - 1)/4
Let -88/7*c**2 + c**4 + 61/7*c**3 + 20/7*c + 0 = 0. What is c?
-10, 0, 2/7, 1
Suppose -119*m - 575 = -616*m + 419. Determine f, given that -2/3*f**3 + 1/6*f**5 - 1/3*f**4 + 0 + 1/2*f + 1/3*f**m = 0.
-1, 0, 1, 3
Let q(p) be the second derivative of -9/40*p**4 + 0 - 1/5*p**2 + 2/5*p**3 + 23*p. Find s, given that q(s) = 0.
2/9, 2/3
Suppose 3*v - 47 = -4*y, 21*y + 39 = 8*y + 5*v. Factor -2/7*c**y - 6/7 - 8/7*c.
-2*(c + 1)*(c + 3)/7
Let o be (-84)/(-33) + 1 - 6/(-154)*-14. Let 3*j**5 + 15/4*j + 39/4*j**4 + 0 + 33/4*j**2 - 99/4*j**o = 0. Calculate j.
-5, -1/4, 0, 1
Let g(o) = -2*o + 20. Let w be g(2). Factor 770*z**5 - 13*z**2 + w*z**3 - 7*z**4 - 769*z**5 + z**2.
z**2*(z - 3)*(z - 2)**2
Let x(g) = 2*g + 15. Let y be x(-4). Factor -6*v**2 - 7*v**2 - 6*v**2 + 24*v**2 - 6*v - y*v**2.
-2*v*(v + 3)
Let b(a) be the third derivative of -a**6/15 - 389*a**5/5 - 453963*a**4/16 + 2*a**2 + 161*a + 3. Determine f so that b(f) = 0.
-1167/4, 0
Let u(f) be the first derivative of -5*f**4/4 + 70*f**3 - 1200*f**2 + 4000*f - 900. Factor u(v).
-5*(v - 20)**2*(v - 2)
Let a(g) be the third derivative of 0 + 37/42*g**4 + 1/30*g**5 - 115*g**2 - 11/7*g**3 + 0*g. Solve a(w) = 0 for w.
-11, 3/7
Let c(g) be the first derivative of -2*g**7/21 - 2*g**6/5 + 4*g**4/3 - 72*g + 185. Let m(a) be the first derivative of c(a). Factor m(u).
-4*u**2*(u - 1)*(u + 2)**2
Let q(h) = -h**3 + 14*h**2 + h - 12. Let p be q(14). Factor 0*x**p + 2*x**3 + 1 - 4*x**5 - 6*x**2 - x + x**4 + 4*x**2 + 3*x**5.
-(x - 1)**3*(x + 1)**2
Factor 46*i + 55*i + 80*i - 2*i**2 - 39*i - 140.
-2*(i - 70)*(i - 1)
Let m be (33*52/195)/(-8 + (-731)/(-85)). What is j in 256/3*j - 194/3*j**3 - 74/3*j**4 - m*j**2 - 8/3*j**5 + 64/3 = 0?
-4, -2, -1/4, 1
Let y be 8*9/216*(-2 + 2). Factor y*t**2 + 20*t**2 + 28*t**2 - 46*t - 2*t**3.
-2*t*(t - 23)*(t - 1)
Solve 421418 - 3*u**2 - 661537 + 3408*u - 96085 - 631668 = 0 for u.
568
Factor 16841*h**3 - 2*h**4 - 34*h**2 - 16827*h**3 - h + 2*h**4 + 2*h**4 + 19*h.
2*h*(h - 1)**2*(h + 9)
Let v(d) be the first derivative of -2*d**5/45 - 74*d**4/9 - 10952*d**3/27 - 1521. Factor v(z).
-2*z**2*(z + 74)**2/9
Let r(i) = -20*i**3 + 489*i**2 - 607*i - 35840. Let s(h) = 4*h**3 - 98*h**2 + 122*h + 7168. Let b(a) = -2*r(a) - 11*s(a). Factor b(x).
-4*(x - 16)**2*(x + 7)
Let k be ((-545)/(-8175))/((-6)/(-180)). Find n, given that 60/7*n**k + 3/7*n**4 + 0 + 9*n**3 + 0*n = 0.
-20, -1, 0
Let j = -14843 + 14845. Factor 0 + 0*l**j + 0*l + 2/9*l**4 - 2/9*l**3.
2*l**3*(l - 1)/9
Let d be ((-2)/6)/(2/(-72)). Suppose -7*s + 2 + d = 0. Factor -4 + s*v**2 - 5*v**2 - 9*v - 2.
-3*(v + 1)*(v + 2)
Let m = 103226/23 + -722536/161. Factor 34/7*k - 4/7*k**2 - 36/7*k**3 - 2*k**4 + 18/7 + m*k**5.
2*(k - 9)*(k - 1)*(k + 1)**3/7
Let p(v) be the first derivative of -v**6/300 + 13*v**5/150 + 29*v**4/60 + v**3 + v**2/2 + 4*v - 59. Let u(c) be the second derivative of p(c). Factor u(a).
-2*(a - 15)*(a + 1)**2/5
Let h(w) be the first derivative of -2*w**6/3 + 36*w**5/5 + 10*w**4 - 469. Determine o, given that h(o) = 0.
-1, 0, 10
Suppose -f = 5*d + 8, -2*f - 3*d + 10 - 54 = 0. Let r(o) = -o**3 - 30*o**2 - 57*o - 24. Let h be r(f). Factor 0 + 0*n + 3/7*n**h + 0*n**3 - 1/7*n**2 + 2/7*n**5.
n**2*(n + 1)**2*(2*n - 1)/7
Let 5*s**5 - 640*s**2 + 449*s**3 - 93*s**4 + 268*s**4 + 11*s**3 = 0. Calculate s.
-32, -4, 0, 1
Let v(b) = -b**3 - 12*b**2 + 58*b + 195. Let d be v(-15). Let x be 2/(-5)*(-10)/12. Let d - 5/3*z**2 - 4/3*z - x*z**3 = 0. What is z?
-4, -1, 0
Let i = -13286/1081 + 594/47. Let c(h) be the first derivative of 19 + 20/69*h**3 + 0*h - i*h**2 + 7/46*h**4. Determine k, given that c(k) = 0.
-2, 0, 4/7
Let y(p) be the second derivative of p**4/36 - 34*p**3 - 4488*p. Factor y(j).
j*(j - 612)/3
Let x(m) = -10*m**3 - 1260*m**2 + 2532*m - 1292. Let c(q) = 21*q**3 + 2520*q**2 - 5064*q + 2588. Let i(z) = -6*c(z) - 13*x(z). Factor i(p).
4*(p - 1)**2*(p + 317)
Factor -5*t**4 - 70*t + 2223*t**3 + 2197*t**3 - 115*t**2 - 4470*t**3.
-5*t*(t + 1)*(t + 2)*(t + 7)
Let k(j) be the third derivative of 0 + 11/3*j**3 - 13*j**2 - 4*j - 25/36*j**4 - 1/10*j**5 + 1/180*j**6. Factor k(n).
2*(n - 11)*(n - 1)*(n + 3)/3
Let j(q) be the first derivative of -q**6/6 - 5*q**5/4 - 5*q**4/6 + 20*q**3/3 + 80*q + 49. Let g(i) be the first derivative of j(i). Factor g(z).
-5*z*(z - 1)*(z + 2)*(z + 4)
Let g(l) be the second derivative of l**6/150 + 13*l**5/100 + 19*l**4/20 + 33*l**3/10 + 27*l**2/5 + 9*l - 85. Let g(d) = 0. What is d?
-6, -3, -1
Solve -4/11 - 8/11*g**2 + 10/11*g + 2/11*g**3 = 0.
1, 2
Factor 4*f**2 - 15*f**2 - 2*f**2 - 11*f**2 + 176*f - 14*f**2 + 2*f**3.
2*f*(f - 11)*(f - 8)
Find c such that 436/3*c + 88/3*c**2 - 20/3 = 0.
-5, 1/22
Suppose 4*i - 61 = -3*z, -142*z + 137*z + 54 = 3*i. Find g, given that -6*g + 26/9 + 10/3*g**2 - 2/9*g**z = 0.
1, 13
Let y(l) be the third derivative of -l**2 + 1/96*l**4 - 47*l + 1/2*l**3 - 1/240*l**5 + 0. Factor y(o).
-(o - 4)*(o + 3)/4
Let j(t) be the second derivative of 42 + 1/195*t**6 - 4/39*t**4 + 0*t**2 - t - 4/13*t**3 + 1/26*t**5. Solve j(r) = 0.
-6, -1, 0, 2
Let w(i) = -11*i**2 + 1413*i + 774. Let g be w(129). Let g + 1/3*m**2 - 2/3*m + 1/3*m**3 = 0. What is m?
-2, 0, 1
Let m be 653*(-2)/35 + (-46)/(-46). Let w = -250/7 - m. Factor -1/5*o - w*o**2 + 2/5.
-(o + 1)*(3*o - 2)/5
Let v(g) be the second derivative of -512*g**7/147 + 704*g**6/15 + 948*g**5/35 + 239*g**4/42 + 10*g**3/21 + 4*g + 15. Factor v(d).
-2*d*(d - 10)*(8*d + 1)**3/7
Let q = -3207 + 3213. Let l(t) be the second derivative of 4/3*t**4 - 3/5*t**5 + 11*t + 1/15*t**q + 0 + 2*t**3 - 9*t**2. Factor l(v).
2*(v - 3)**2*(v - 1)*(v + 1)
Let h(a) = a**3 + 6*a**2 - 305*a - 939. Let v be h(-3). Factor -5/3*j + 14/3*j**2 + 1/3*j**5 + 0 + 2/3*j**4 - 4*j**v.
j*(j - 1)**3*(j + 5)/3
Let h(f) be the third derivative of f**5/12 - 5*f**4/3 - 70*f**3 + 2864*f**2. Find a, given that h(a) = 0.
-6, 14
Suppose -4*i = -5*b - 2, 4*b - 4*i + 1 = -3. Determine j, given that -2*j**4 - 6*j**5 + 141*j + 4*j**b - 143*j + 4*j**3 + 5*j**5 - j**5 - 2 = 0.
-1, 1
Let n(d) = -8*d**3 - 21*d**2 + 11*d. Suppose -31*m + 644 = -8*m. Let y(o) = o**3 + 3*o**2 - o. Let b(g) = m*y(g) + 4*n(g). Factor b(x).
-4*x*(x - 2)*(x + 2)
Suppose -52*k + 164 = 15*k - 26*k. Let q(g) be the third derivative of -1/30*g**6 + 8*g**2 - 2/15*g**5 + 4/3*g**3 + 1/6*g**k + 0 + 0*g. Solve q(n) = 0.
-2, -1, 1
Suppose 4*a - 52 = -2*y - 0*y, 0 = -a + 4*y + 22. Suppose -50 = -6*w - a. Factor 4*x**4 - 4 - 2*x**4 - w*x - 6*x**3 + 12*x + 2*x**2.
2*(x - 2)*(x - 1)**2*(x + 1)
Let b = -25488 + 25493. Let q(r) be the third derivative of 0*r**3 + 0 + 1/72*r**4 + 1/180*r**b + 0*r + 38*r**2. Suppose q(h) = 0. What is h?
-1, 0
Find s, given that -225*s**2 + 51*s**2 - 102*s**2 + 150*s - 3 - 24 + 153*s = 0.
9/92,