 a(f) be the second derivative of -1/60*f**5 + 0*f**l + 0*f**2 + 1/18*f**4 - 1/30*f**6 + f + 0. Factor a(p).
-p**2*(p + 1)*(3*p - 2)/3
Let f(o) = o**2 + 15*o + 16. Let n be f(-14). Factor 6/11*v**n - 8/11 - 8/11*v + 4/11*v**3 - 2/11*v**4.
-2*(v - 2)**2*(v + 1)**2/11
Let p(u) be the third derivative of -u**8/196 + 2*u**7/735 + 19*u**6/105 - 4*u**5/7 - 4*u**4/21 + 64*u**3/21 + 6*u**2. Solve p(g) = 0 for g.
-4, -2/3, 1, 2
Let h = 125 - 873/7. Determine b so that -2/7 + 2/7*b**3 + 2/7*b**2 - h*b = 0.
-1, 1
Let z(j) be the third derivative of -j**9/362880 + j**7/30240 + j**5/12 + 2*j**2. Let v(f) be the third derivative of z(f). Suppose v(b) = 0. Calculate b.
-1, 0, 1
Let z be 0/(-2 + (-6)/(-2)). Let q(k) be the third derivative of -4*k**2 + z + 1/4*k**4 - 1/30*k**5 + 0*k - 2/3*k**3. Determine j, given that q(j) = 0.
1, 2
Let m(u) be the second derivative of u**9/1260 + 13*u**8/6720 - u**7/126 + u**6/180 + 7*u**4/12 - 4*u. Let k(i) be the third derivative of m(i). Factor k(s).
s*(s + 2)*(3*s - 2)*(4*s - 1)
Let r(y) be the third derivative of 2*y**7/525 - y**5/75 - 8*y**2. Factor r(m).
4*m**2*(m - 1)*(m + 1)/5
Let j(o) = 7*o**2 + 4*o - 8. Let q(z) = 13*z**2 + 7*z - 16. Let m(b) = 11*j(b) - 6*q(b). Find n, given that m(n) = 0.
-2, 4
Let d be 9/2*(6 + -4). Factor -36*z - 4 + 7 + d + 37*z**2 - 10*z**2.
3*(3*z - 2)**2
Let w(a) = 1. Let n(k) = 5*k**5 + 7*k**4 - 8*k**3 - 4*k**2 + 3. Let q(v) = n(v) - 3*w(v). Let q(b) = 0. Calculate b.
-2, -2/5, 0, 1
Let y(r) be the third derivative of r**8/1120 + r**7/336 + r**6/360 - r**3/3 - 3*r**2. Let d(q) be the first derivative of y(q). Determine x so that d(x) = 0.
-1, -2/3, 0
Let a = 1297/952 - -9/136. Factor -2/7*i**3 + 6/7 + a*i + 2/7*i**2.
-2*(i - 3)*(i + 1)**2/7
Suppose 0 + 1 = n. Factor 2*q - 23*q**2 + n + 24*q**2 + 0.
(q + 1)**2
Let t(d) = -2*d - 29. Let i be t(-16). Let j(x) be the first derivative of -1/6*x**2 + 1/9*x**i + 1/12*x**4 - 1/3*x + 2. Solve j(m) = 0.
-1, 1
Let a be 8/(-24) + 74/6. Suppose 5*q - 8 = a. Let 0 - 2/3*r**3 + 10/9*r**5 - 14/9*r**2 + 14/9*r**q - 4/9*r = 0. Calculate r.
-1, -2/5, 0, 1
Let q(x) = x**3 + x**2 + 7*x. Let p(l) = -l**3 - l**2 - 6*l. Let w(f) = 7*p(f) + 6*q(f). Solve w(n) = 0 for n.
-1, 0
Let -3 + 123*m - 19*m**2 - 5*m**2 - 96*m = 0. Calculate m.
1/8, 1
Let b(p) be the second derivative of 1/4*p**4 + 0*p**3 - 3/2*p**2 + p + 0. Find z, given that b(z) = 0.
-1, 1
Let d(j) be the third derivative of -j**5/80 + 2*j**2 - 17*j. Factor d(r).
-3*r**2/4
Factor -2*q + 2 - 5 + 2 + 2*q**2 - 1 + 2*q**3.
2*(q - 1)*(q + 1)**2
Let h(n) = n + 1. Let f be h(-5). Let d be 4/f*2/(-8). Find s such that 0 + 1/4*s**2 + d*s = 0.
-1, 0
Let j(x) be the first derivative of -4 + 3/8*x**4 + 0*x**3 + 0*x + 3/10*x**5 + 0*x**2. Factor j(n).
3*n**3*(n + 1)/2
Let j(s) be the third derivative of -s**5/510 - 7*s**4/102 - 49*s**3/51 + 48*s**2. Factor j(d).
-2*(d + 7)**2/17
Factor -20/9*o**3 + 76/9*o - 8/3 - 32/9*o**2.
-4*(o - 1)*(o + 3)*(5*o - 2)/9
Let g = -7/4 + 9/4. Suppose -d = -4*d - 2*d. Factor d*z + g*z**2 + 0.
z**2/2
Let q = 5 + -6. Let b be (3 + 1)/(q + 2). Factor -1/4 - b*c**2 - 2*c.
-(4*c + 1)**2/4
Let r(u) = u - 4. Let o be r(-5). Let a = 9 + o. Determine m so that -1/4*m**4 + 0 + 1/4*m**2 - 1/4*m**3 + a*m + 1/4*m**5 = 0.
-1, 0, 1
Let o = 12/5 - 31/15. What is f in 1/2*f**4 - 1/3*f + 2/3*f**3 - 1/2*f**2 + 0 - o*f**5 = 0?
-1, -1/2, 0, 1, 2
Let c(d) be the first derivative of -4*d**6/3 + 32*d**5/5 - 25*d**4/2 + 38*d**3/3 - 7*d**2 + 2*d + 13. Factor c(g).
-2*(g - 1)**3*(2*g - 1)**2
Let -2*q - 8/5 - 2/5*q**2 = 0. Calculate q.
-4, -1
Find n, given that -4*n + 175/4*n**5 + 8*n**2 + 0 - 110*n**4 + 42*n**3 = 0.
-2/7, 0, 2/5, 2
Let n(w) be the third derivative of -7*w**6/24 - 3*w**5/4 - 5*w**4/12 - 43*w**2. Solve n(l) = 0.
-1, -2/7, 0
Suppose 0 = -5*t + 3*t. Let x(y) be the second derivative of -2*y + 1/25*y**5 + t*y**2 + 0 + 1/30*y**4 + 1/75*y**6 + 0*y**3. Solve x(g) = 0 for g.
-1, 0
Let w(k) be the third derivative of -k**6/30 + 2*k**5/15 + k**4/6 - 4*k**3/3 + 4*k**2. Find z, given that w(z) = 0.
-1, 1, 2
Solve -12/5 + 1/5*g**3 - 14/5*g**2 + 5*g = 0.
1, 12
Find m, given that 0 + 3/4*m**4 + 1/4*m**5 + 1/4*m**3 - 3/4*m**2 - 1/2*m = 0.
-2, -1, 0, 1
Let p(n) be the third derivative of n**6/12 + 13*n**5/30 - n**4/2 + 15*n**2. What is g in p(g) = 0?
-3, 0, 2/5
Let z(d) be the third derivative of 1/84*d**4 + 0*d + d**2 + 0 - 1/210*d**5 + 0*d**3. Factor z(t).
-2*t*(t - 1)/7
Let v(a) be the second derivative of -2*a**7/7 + 9*a**6/10 - 9*a**5/10 + a**4/4 - 3*a. Factor v(z).
-3*z**2*(z - 1)**2*(4*z - 1)
Let o(x) = 3*x**2 - 2. Let j(w) be the first derivative of w**2/2 - 2. Let s(z) = -j(z) - o(z). Factor s(k).
-(k + 1)*(3*k - 2)
Let y(a) be the third derivative of -2*a**7/735 + a**6/210 + a**5/105 - a**4/42 + 45*a**2. Suppose y(k) = 0. What is k?
-1, 0, 1
Let a = -2 + 8. Let d(z) be the second derivative of 0*z**4 + 0 + 0*z**a + 1/21*z**7 + z + 1/3*z**3 + 0*z**2 - 1/5*z**5. Factor d(h).
2*h*(h - 1)**2*(h + 1)**2
Let m be 39/36 - 3*4/(-48). Determine y, given that 0 + 2*y**5 + 2/3*y**4 - m*y**3 + 0*y**2 + 0*y = 0.
-1, 0, 2/3
Suppose -m + 5 = 1. Let -12*j**2 - 5*j**2 + 18*j**2 + m*j - j + 2 = 0. What is j?
-2, -1
Suppose 3*c = 3*w - 21, -12 = 2*c - 2. Factor -20/9*j**3 - 2/9*j**5 - 20/9*j**w - 10/9*j**4 - 10/9*j - 2/9.
-2*(j + 1)**5/9
Let o(b) be the first derivative of 4 + 0*b**2 + 1/35*b**5 + 1/42*b**6 + 0*b - 1/21*b**3 - 1/28*b**4. Factor o(j).
j**2*(j - 1)*(j + 1)**2/7
Let 2/3*a**3 + 0*a**2 - 1/3*a**5 - 1/3*a + 0*a**4 + 0 = 0. Calculate a.
-1, 0, 1
Let t(r) be the third derivative of 0*r**3 + 0 + 0*r**4 + 0*r - 1/30*r**5 + 1/60*r**6 - 2*r**2. Factor t(u).
2*u**2*(u - 1)
Let j(t) be the second derivative of -t**4/96 - 5*t**3/24 + 11*t**2/16 - 47*t. Factor j(w).
-(w - 1)*(w + 11)/8
Factor -25/2*j**5 - 5 - 80*j**2 - 95*j**3 - 65/2*j - 55*j**4.
-5*(j + 1)**4*(5*j + 2)/2
Let i be (-2*54/225)/(4/(-10)). Factor 3/5 + 3/5*j**2 + i*j.
3*(j + 1)**2/5
Let u(b) be the first derivative of 2*b**5/35 + b**4/7 - 8*b**3/21 - 8*b**2/7 + 11. Let u(d) = 0. Calculate d.
-2, 0, 2
Let k(v) = -146*v**3 + 166*v**2 - 36*v - 16. Let d(m) = -29*m**3 + 33*m**2 - 7*m - 3. Let g(z) = -16*d(z) + 3*k(z). Find r, given that g(r) = 0.
0, 2/13, 1
Let s = 3 + -1. What is n in s + 5*n - n**2 - 2*n - 4 = 0?
1, 2
Let i = -2 - -3. Let j be -1*(2 + -4)*i. Find u such that -5/2*u + 1 - u**j + 5/2*u**3 = 0.
-1, 2/5, 1
Let l = 3 - 4. Let g be (-2*(l - -2))/(-1). What is f in g*f**2 + 1 + 2*f**3 - 2 + 1 = 0?
-1, 0
Let y(r) be the third derivative of -r**5/60 + 5*r**4/12 - 25*r**3/6 - 7*r**2. Factor y(a).
-(a - 5)**2
Let r(v) = 2*v**3 + 21*v**2 + 10*v + 3. Let j be r(-10). Factor -2*t**j - 18/5*t - 24/5*t**2 - 4/5.
-2*(t + 1)**2*(5*t + 2)/5
Let d(j) be the third derivative of -j**5/210 + j**4/42 + j**2 - 1. Factor d(r).
-2*r*(r - 2)/7
Let t be (2/5)/(24/40). Let q(k) be the first derivative of 2 - t*k**2 + 2/3*k**3 + 1/3*k + 1/15*k**5 - 1/3*k**4. Factor q(g).
(g - 1)**4/3
Suppose d = 4*a + 23 + 20, 3*a - d = -33. Let b = -6 - a. Determine u, given that 16*u + 3*u**2 - 4*u**4 - 10*u**3 + b*u**2 - u**2 - 8 = 0.
-2, 1/2, 1
Let c = -38 + 9. Let n = c + 29. What is q in -2/5*q**2 - 1/5*q**3 + n*q + 0 = 0?
-2, 0
Factor 0*a**2 + 6*a**2 - 2*a**2.
4*a**2
Let h(m) be the third derivative of -m**6/1140 + 3*m**5/95 - 9*m**4/19 + 72*m**3/19 + 17*m**2. Factor h(w).
-2*(w - 6)**3/19
Let k be (-4)/(-2) - 4*1. Let z = 0 - k. Find c such that 0*c**z - 8*c**2 - 4 - 17*c**2 - 20*c = 0.
-2/5
Factor 53*p + 4*p**4 + 8*p**3 - 37*p - 6*p**2 - 22*p**2.
4*p*(p - 1)**2*(p + 4)
Let b = -10 - -4. Let z = -1 - b. Factor -4*i**2 + 10*i + 3*i**5 + 5*i**4 - 2*i - 6*i**3 - 4*i**z.
-i*(i - 2)**3*(i + 1)
Let x = 2/483 - -214/161. Factor n**2 - x + 0*n - 1/3*n**3.
-(n - 2)**2*(n + 1)/3
Suppose -2*j - 4*q - 16 = 0, -j - 3*q - 5 = 4*j. Suppose 0*b + 4*b**3 - 4 - 14*b**3 + 16*b**j + 0*b - 2*b = 0. What is b?
-2/5, 1
Let k(z) = -4*z**2 - 6*z - 11. Let i(h) = 11*h**2 + 19*h + 32. Let p(c) = 3*i(c) + 8*k(c). Factor p(m).
(m + 1)*(m + 8)
Let y = 450 + -5846/13. What is p in 0 + 2/13*p + y*p**2 + 2/13*p**3 = 0?
-1, 0
Let r = -5 + 8. Let m(v) = -v**2 - v. Let i(c) = -5*c**4 - 9*c**3 - 6*c**2 - 2*c. Let n(h) = r*m(h) - i(h). Factor n(o).
o*(o + 1)**2*(5*o - 1)
Let b(l) be the first derivative of 0*l + 2/9