1)*(3*r - 2)/9
Let y(f) be the third derivative of -f**5/15 - f**4/96 + f**2 - 32. Suppose y(p) = 0. Calculate p.
-1/16, 0
Suppose -12/5*x**2 + 0 + 0*x - 1/5*x**4 - 7/5*x**3 = 0. What is x?
-4, -3, 0
Factor 0 + 1/3*o**2 + o.
o*(o + 3)/3
Let w(a) be the first derivative of 12/7*a**2 - 22/21*a**3 + 6/35*a**5 - 8/7*a - 2 + 1/14*a**4 - 1/21*a**6. Determine m, given that w(m) = 0.
-2, 1, 2
Let h(c) be the first derivative of c**9/5544 - 3*c**8/1540 + 10*c**3 - 33. Let j(i) be the third derivative of h(i). Factor j(p).
6*p**4*(p - 6)/11
Let n = -52/79 - -992/1027. Suppose -n*o + 0 - 2/13*o**2 = 0. What is o?
-2, 0
Let p(i) be the first derivative of -3*i**4/4 - 33*i**3 - 504*i**2 - 2940*i - 856. Solve p(f) = 0 for f.
-14, -5
Let m(a) be the first derivative of -2*a**7/315 + 4*a**5/45 - 9*a**2 + 26. Let v(s) be the second derivative of m(s). Factor v(i).
-4*i**2*(i - 2)*(i + 2)/3
Factor 97*f**2 - 99*f**2 + 131*f - 131*f + 7*f**3.
f**2*(7*f - 2)
Let d(g) = 2*g**2 + 14*g + 6. Let q(y) be the second derivative of -y**4/2 - 7*y**3 - 17*y**2/2 + 34*y. Let r(a) = -17*d(a) - 6*q(a). Let r(n) = 0. What is n?
-7, 0
Let n be (36/8 + -2)*2. Factor 2*w - n*w**2 - 5*w + w + 4*w**2 - 1.
-(w + 1)**2
Let a(v) be the second derivative of -v - 1/50*v**5 - 1/15*v**4 + 0 + 0*v**2 - 1/15*v**3. Let a(t) = 0. Calculate t.
-1, 0
Let d(p) be the third derivative of -p**6/30 - p**5/15 + p**4/6 + 2*p**3/3 + 19*p**2 + 3*p. Factor d(o).
-4*(o - 1)*(o + 1)**2
Let f be 0 - 5/((-10)/(-4)). Let l be -1 + 3 + f/(-1). Factor o - 5*o**2 + 8*o**2 - l*o**2.
-o*(o - 1)
Let m be (((-6)/4)/1)/(72/(-144)). Determine c, given that 3/4*c + 1/4*c**4 - 1/2 - 3/4*c**m + 1/4*c**2 = 0.
-1, 1, 2
Factor -11 + 123*h - 7 - 4256*h**2 + 4217*h**2.
-3*(h - 3)*(13*h - 2)
Let m(j) be the second derivative of 1/14*j**7 + 8*j**3 - 1/5*j**6 + 11*j - 6/5*j**5 + 4*j**4 + 0 - 48*j**2. Factor m(h).
3*(h - 2)**3*(h + 2)**2
Let r(q) be the second derivative of -q**7/378 + q**5/180 + 2*q + 21. Solve r(p) = 0 for p.
-1, 0, 1
Let j be (21/18 - (3 + -3))*4/7. Let -10/3*k**2 - 8/3 - j*k**3 - 16/3*k = 0. What is k?
-2, -1
Let r(u) be the first derivative of u**5/5 + u**4 + 5*u**3/3 + u**2 + 465. Factor r(g).
g*(g + 1)**2*(g + 2)
Let l(w) be the third derivative of -w**6/18 + 19*w**5/15 + 101*w**4/18 + 26*w**3/3 + 618*w**2. What is h in l(h) = 0?
-1, -3/5, 13
Suppose -3 = x + 4. Let h = -5 - x. What is b in 0 - 2/7*b - 2/7*b**h = 0?
-1, 0
Let k(n) be the third derivative of n**6/150 + 2*n**5/75 + n**4/30 + 9*n**2. Factor k(h).
4*h*(h + 1)**2/5
Let v = -629 + 320. Let a = 312 + v. Factor 0*y**a - 2/3 + 4/3*y**2 - 2/3*y**4 + 0*y.
-2*(y - 1)**2*(y + 1)**2/3
Let j be 0/(-1) + 5 + -3. Suppose -3*i + 10 = 2*i. Factor -t**2 - 4*t + 2 + 2*t**2 + t**j + 0*t**i.
2*(t - 1)**2
Let r = 5313 - 5308. Factor -2/13*a**r + 4/13*a**4 + 2/13*a + 0*a**3 - 4/13*a**2 + 0.
-2*a*(a - 1)**3*(a + 1)/13
Let y(t) be the third derivative of t**5/150 - 77*t**4/30 + 5929*t**3/15 + 128*t**2. Factor y(g).
2*(g - 77)**2/5
Let k = 71 + -51. Factor 4*l**4 - k*l**3 + l**4 - 4*l**2 + 19*l**2.
5*l**2*(l - 3)*(l - 1)
Let -8/9*n**2 + 2/9*n**4 + 8/9*n - 2/9*n**3 + 0 = 0. Calculate n.
-2, 0, 1, 2
Let b = -11/17 - -1597/51. Suppose -24*f + 36*f**4 - 16/3 + 6*f**3 + 18*f**5 - b*f**2 = 0. What is f?
-1, -2/3, 1
Let u be 3 + 180/(-50) - 19/(-30). Let d(q) be the third derivative of 0 - q**2 + 0*q + u*q**5 + 1/6*q**4 + 1/3*q**3. Suppose d(b) = 0. What is b?
-1
Let d(w) = w**2 - 3*w - 6. Let n be d(6). Suppose 2*m - 3*f - f + 12 = 0, -2*m - 2*f = -n. Factor 23*l**2 - 13*l**2 - 12*l**m + l - 2*l - l**3.
-l*(l + 1)**2
Factor 5*g**3 + 0*g + 0*g**2 + 0 - 8/3*g**4 + 1/3*g**5.
g**3*(g - 5)*(g - 3)/3
Determine m, given that 10/3*m**4 - 64/3*m**3 + 134/3*m**2 + 8 - 104/3*m = 0.
2/5, 1, 2, 3
Let u(f) = 3*f**2 - 2544*f + 134787. Let l(n) = -n**2 + 636*n - 33698. Let m(q) = -9*l(q) - 2*u(q). What is y in m(y) = 0?
106
Let m be (-1105)/(-1560) - 3/8. Factor m*l**2 - 2/3 + 1/3*l.
(l - 1)*(l + 2)/3
Solve 8/3*j - 17/3*j**2 + 1/3*j**4 + 16/3 + 1/6*j**5 - 17/6*j**3 = 0 for j.
-4, -2, -1, 1, 4
Let v(a) be the first derivative of a**2 + 41/50*a**5 - 11/15*a**3 + 4/5*a - 1/6*a**6 - 37/40*a**4 + 31. Find k, given that v(k) = 0.
-1/2, -2/5, 1, 2
Let n(s) be the third derivative of -s**8/672 - 5*s**7/504 - s**6/36 - s**5/24 - 13*s**4/24 + 23*s**2. Let f(c) be the second derivative of n(c). Factor f(w).
-5*(w + 1)**2*(2*w + 1)
Let w(x) be the first derivative of 0*x + 0*x**2 + 4/21*x**3 - 5/14*x**4 + 17. Find i, given that w(i) = 0.
0, 2/5
Let o(w) be the first derivative of -w**3 + 102*w**2 - 201*w - 285. Factor o(m).
-3*(m - 67)*(m - 1)
Let i be 1/6*-1*(5 - 8). Factor i*j**2 + 2*j + 2.
(j + 2)**2/2
Suppose 0 = 4644*n - 4594*n - 1650. Factor 12 - n*r + 15/2*r**2.
3*(r - 4)*(5*r - 2)/2
Let i(q) be the third derivative of -q**8/336 + q**7/30 - q**6/8 + q**5/12 + 2*q**4/3 - 2*q**3 - 9*q**2 - 13. What is c in i(c) = 0?
-1, 1, 2, 3
Suppose 15 = x + 16. Let g be (33/6)/(-11)*(x + 1). Let g - 1/8*t**2 + 0*t = 0. Calculate t.
0
Let p(d) = -d**5 - d - 1. Let q(y) = -4*y**5 - 70*y**4 - 500*y**3 + 1940*y**2 - 2092*y + 720. Let t(v) = -4*p(v) + 2*q(v). Factor t(u).
-4*(u - 1)**3*(u + 19)**2
Let u(v) be the third derivative of 1/30*v**6 + 0 - 1/6*v**4 + 2/105*v**7 - 9*v**2 - 1/15*v**5 + 0*v + 0*v**3. Suppose u(m) = 0. What is m?
-1, 0, 1
Let h(j) = -11 - 3*j**2 + 8*j - 12 + 0. Let i(m) = -10*m**2 + 22*m**2 - 11*m**2 + 8 - 3*m. Let f(w) = 6*h(w) + 17*i(w). Factor f(r).
-(r + 1)*(r + 2)
Let w be 3/8*(-320)/(-96). Factor w*o**2 + 0 - 1/4*o**3 - 3/4*o - 1/4*o**4.
-o*(o - 1)**2*(o + 3)/4
Let j be 702/(-280)*75/(-10). Let b = -139/8 + j. Suppose -10/7*o**2 + 4/7 + 4/7*o**5 + 6/7*o + 6/7*o**4 - b*o**3 = 0. What is o?
-2, -1, -1/2, 1
Let f = -40/3 + 14. Let p be (-22 + 1386/54)/11. Find z, given that f + z - z**3 - p*z**2 - 1/3*z**4 = 0.
-2, -1, 1
Let d(m) be the first derivative of -m**6/42 - 64. Factor d(u).
-u**5/7
Let v(u) be the second derivative of 1/3*u**4 + 1/2*u**2 + 1/30*u**5 + 4/3*u**3 + 0 - u. Let j(t) be the first derivative of v(t). Suppose j(b) = 0. What is b?
-2
Let n(x) = -3*x**5 - 9*x**4 - 3*x**3 + 25*x**2 + 30*x + 12. Let z(u) = -u**5 - u**4 + u**2 - u. Let f(k) = -n(k) + 2*z(k). Suppose f(o) = 0. Calculate o.
-6, -1, 2
Let 125 - s**2 - 5*s - 128 + 9*s = 0. What is s?
1, 3
Let t(b) be the first derivative of b**6/18 - 2*b**5/3 - 2*b**4 - 2*b**3/9 + 23*b**2/6 + 4*b + 11. Let t(q) = 0. Calculate q.
-1, 1, 12
Let k(r) = r + 4*r + r**2 - 3*r - 3*r**3 - 6. Suppose -3*l - 2 - 4 = 0. Let b(q) = -7*q**3 + q**2 + 5*q - 13. Let w(a) = l*b(a) + 5*k(a). Factor w(g).
-(g - 2)**2*(g + 1)
Let k = -16 - -31. Find y, given that 38*y**3 - 3 + k*y - 10*y**3 - 21*y**2 - 19*y**3 = 0.
1/3, 1
Let p(o) be the second derivative of 1/30*o**5 + 0 - 1/540*o**6 - 1/2*o**3 + 3*o - 1/4*o**4 + 0*o**2. Let z(n) be the second derivative of p(n). Solve z(a) = 0.
3
Let j(t) be the first derivative of -3/7*t**2 + 12/7*t**3 + 3/7*t**5 - 20 - 3/2*t**4 - 3/7*t. Factor j(m).
3*(m - 1)**3*(5*m + 1)/7
Let r = 210 - 208. Let b be ((-26)/104)/((-1)/r). Factor -1/2 + l**3 - 1/2*l - 1/2*l**5 - b*l**4 + l**2.
-(l - 1)**2*(l + 1)**3/2
Suppose -18*t + 134 = 80. Let l(f) be the second derivative of 1/4*f**4 + 1/2*f**t + 0 - 4*f - 3*f**2. Factor l(h).
3*(h - 1)*(h + 2)
Let q(p) be the third derivative of p**7/140 + p**6/40 - p**4/8 - p**3/4 + 12*p**2 + 4. Determine u, given that q(u) = 0.
-1, 1
Suppose 0 = 2*o + 35 - 23. Let k be (-6 - -1)*o/21. Factor -6/7*b + 0 + k*b**2.
2*b*(5*b - 3)/7
Let t(w) be the third derivative of -w**5/120 + w**4/6 - w**3 - 643*w**2. Solve t(a) = 0.
2, 6
Let b(q) = -q**3 + 31*q**2 - 31*q + 34. Let m be b(30). Let p be ((-28)/(-63))/(m*3/54). Solve -1/5*h**5 + 1/5*h**3 + 1/5*h**p + 0*h - 1/5*h**4 + 0 = 0 for h.
-1, 0, 1
Let b(f) be the second derivative of -f**7/126 - f**6/45 + f**5/30 + f**4/9 - f**3/18 - f**2/3 + f + 28. What is t in b(t) = 0?
-2, -1, 1
Let v(i) be the first derivative of -3*i**4/20 - 7*i**3/5 - 9*i**2/5 - 125. Factor v(d).
-3*d*(d + 1)*(d + 6)/5
Let u(m) be the first derivative of -m**5/12 - 5*m**4/8 + 10*m**3/3 + m**2/2 - 1. Let a(z) be the second derivative of u(z). Factor a(k).
-5*(k - 1)*(k + 4)
Let s be -7 - (-428)/60 - (-74)/120. Find f such that -27/4 + 6*f**3 + 18*f - s*f**4 - 33/2*f**2 =