 f(k).
-k**2*(3*k - 2)
Let g(j) be the third derivative of j**5/30 - 7*j**4/36 - 2*j**3/3 + j**2 + 4. What is y in g(y) = 0?
-2/3, 3
Let x(m) be the third derivative of -m**9/12096 + m**7/1680 - m**5/480 - m**3/6 + 3*m**2. Let o(s) be the first derivative of x(s). Let o(b) = 0. What is b?
-1, 0, 1
Let t(i) be the second derivative of i**6/180 - i**5/20 + i**4/6 - i**3/2 - 4*i. Let p(w) be the second derivative of t(w). Let p(v) = 0. What is v?
1, 2
Let v(o) be the first derivative of 0*o - 1/16*o**4 + 1/6*o**3 - 2 - 1/8*o**2. Factor v(t).
-t*(t - 1)**2/4
Let n(v) be the second derivative of -3*v - 2/5*v**2 + 0 - 3/10*v**4 + 11/15*v**3. Determine m so that n(m) = 0.
2/9, 1
Let x(f) = -3*f - 16. Let j be x(-6). Factor 1/3 + 1/3*s**j - 2/3*s.
(s - 1)**2/3
Let l(q) be the third derivative of 1/540*q**6 - 1/108*q**4 + 0*q - q**2 + 0*q**5 + 0 + 0*q**3. Factor l(c).
2*c*(c - 1)*(c + 1)/9
Let z = 91/2 - 13. Let a = -32 + z. Solve 0 + 0*d**2 + a*d**3 + d**4 + 1/2*d**5 + 0*d = 0.
-1, 0
Suppose b = -0 + 1. Factor -3*m + b + 4*m + m**2 + m.
(m + 1)**2
Let n(w) be the second derivative of -w**4/24 + w**3/6 + 3*w**2/4 + 2*w. What is s in n(s) = 0?
-1, 3
Let d(q) be the third derivative of 1/3*q**4 + 0*q - 8*q**2 + 0*q**6 + 0 - 1/5*q**5 + 2/105*q**7 + 0*q**3. Determine i, given that d(i) = 0.
-2, 0, 1
Let j(q) be the second derivative of 0*q**3 - 5/2*q**2 - q + 0 + 1/6*q**4. Let v(y) = 5*y**2 + y - 11. Let r(i) = -7*j(i) + 3*v(i). Factor r(w).
(w + 1)*(w + 2)
Let l(x) = -x**2 + 6*x + 2. Let q = -7 + 13. Let w be l(q). Factor 4*v - 2 - 4*v + 4*v**w - 2*v**4.
-2*(v - 1)**2*(v + 1)**2
Let q(o) be the first derivative of 2/25*o**5 + 1/6*o**4 + 1/15*o**3 + o + 0*o**2 + 2. Let s(b) be the first derivative of q(b). Factor s(y).
2*y*(y + 1)*(4*y + 1)/5
Let r(l) = -2*l + 10. Let n be r(-7). Suppose 4*q + 8 = n. Factor -16*s**2 + 6*s**q + 16*s**2 + 4*s**3.
2*s**3*(3*s + 2)
Let b(x) be the first derivative of x**4/8 + 5*x**3/6 - x**2/4 - 5*x/2 - 32. Suppose b(s) = 0. What is s?
-5, -1, 1
Let u(d) = 150*d**4 - 245*d**3 + 95*d**2 + 35*d. Let a(s) = -25*s**4 + 41*s**3 - 16*s**2 - 6*s. Let k(i) = -35*a(i) - 6*u(i). Factor k(m).
-5*m**2*(m - 1)*(5*m - 2)
Let t(k) = 9*k**3 - k**2. Let n = 3 + 2. Let l(i) be the first derivative of 13*i**4/4 - i**3/3 + 6. Let x(c) = n*l(c) - 7*t(c). Factor x(f).
2*f**2*(f + 1)
Suppose -3*v - 3 = 0, -z + v - 5 = 6*v. Let u be z*(0 + -3 + 2). Factor u*k**4 + 8*k**2 + 4*k + 5*k**3 + 3*k**4 - 2*k**4.
k*(k + 1)*(k + 2)**2
Let n = 11 + -7. Determine b, given that b**2 + b - b**3 - n*b**3 - b**4 + 4*b**3 = 0.
-1, 0, 1
Let v(u) = -u**2 - 8*u - 3. Let f(i) = -9*i**2 - 81*i - 30. Let j(p) = -2*f(p) + 21*v(p). Factor j(z).
-3*(z + 1)**2
Let a be -4 - (34/(-10) - 1). Let l(q) be the second derivative of a*q**2 + 1/60*q**4 - 2*q + 0 + 2/15*q**3. Determine f so that l(f) = 0.
-2
Let l(x) be the second derivative of -32*x**2 - 16/3*x**3 + 0 - 4*x - 1/3*x**4. Solve l(v) = 0 for v.
-4
Let a be 20/3 + 2/(-3). Find n, given that -3*n**4 + a*n**4 + 2*n**3 - n**2 + 4*n**2 + 4*n**3 = 0.
-1, 0
Let p(y) = -25*y**2 + 190*y + 78. Let j(a) = 550*a**2 - 4180*a - 1715. Let i(w) = 2*j(w) + 45*p(w). Factor i(x).
-5*(x - 8)*(5*x + 2)
Let b = 2/81 + 25/81. Let y(j) be the first derivative of 1/2*j**2 - 2 + 0*j - b*j**3. Solve y(q) = 0.
0, 1
What is q in -4*q**2 - 23*q + 6*q - 2*q - 5*q = 0?
-6, 0
Let x be (-6)/(-4)*((-24)/(-27))/1. Factor -2/3*u**2 - x + 2*u.
-2*(u - 2)*(u - 1)/3
Let z(y) be the second derivative of y**8/20160 + y**7/3780 + 5*y**4/12 + y. Let p(v) be the third derivative of z(v). Find m, given that p(m) = 0.
-2, 0
Let s(c) be the second derivative of 56*c**7/9 + 140*c**6/9 + 47*c**5/3 + 145*c**4/18 + 20*c**3/9 + c**2/3 + 5*c. Factor s(m).
2*(2*m + 1)**3*(7*m + 1)**2/3
Factor 0*l - l + 3*l + 0*l + 6*l**3 + 2*l**4 + 6*l**2.
2*l*(l + 1)**3
Let t(w) = 4*w**2 - 4*w + 9. Let d(f) = -2*f**2 + 4*f - 3 + 0 - 1 - 2*f. Let a(n) = -9*d(n) - 4*t(n). Solve a(z) = 0.
0, 1
Let l be 1/2 + 13/(-2). Let d be (-6)/(-21)*(1 - l). Solve k**2 - 5*k**5 + k + 6*k**3 + 6*k**5 - d*k**2 - 3*k**2 - 4*k**4 = 0.
0, 1
Let m = 1/44 - -1/440. Let w(k) be the third derivative of m*k**4 + 0*k + 0 - 1/600*k**6 - 2*k**2 + 0*k**5 - 1/15*k**3. Factor w(u).
-(u - 1)**2*(u + 2)/5
Let d be (-2 - (-3 - 5)) + (-312)/60. Let 4/5 - 4/5*v**2 - d*v**3 + 4/5*v = 0. What is v?
-1, 1
Let v be (2 - 23)/((-6)/4). Suppose -4*w + 33 = 5*c, -w - v = -2*c - 3*w. Factor -5*q**5 - 30*q**3 - 5*q**5 + 2*q**c + 2*q - 4*q - 26*q**4 - 14*q**2.
-2*q*(q + 1)**3*(4*q + 1)
Factor 0*p - 1/2*p**3 + 1/2*p**5 + 0 - 1/2*p**4 + 1/2*p**2.
p**2*(p - 1)**2*(p + 1)/2
Let r(l) be the second derivative of l**4/54 - 4*l**3/27 + l**2/3 + 8*l. What is f in r(f) = 0?
1, 3
Let i = 2 + -4. Let v = i - -6. Find m, given that m - 3*m + m**2 - 2*m + v*m**3 - 1 = 0.
-1, -1/4, 1
Suppose 41 = -5*q - b - 3*b, 0 = 4*q + 3*b + 32. Let f = 7 + q. Find i, given that -2/5*i**3 - 4/5*i**f - 2/5*i + 0 = 0.
-1, 0
Factor 0*o**2 + 0 + 0*o + 2/9*o**4 + 8/9*o**3.
2*o**3*(o + 4)/9
Let u(r) be the second derivative of -r**6/6 - r**5/2 + 5*r**4/12 + 5*r**3/3 + 18*r. Factor u(a).
-5*a*(a - 1)*(a + 1)*(a + 2)
Let r = 851/10 + -85. Let d(q) be the first derivative of 1/4*q**4 + 0*q**2 + 0*q + 1/6*q**3 + r*q**5 - 1. Factor d(m).
m**2*(m + 1)**2/2
Suppose -3*a + 4*a - 2*k = 13, k - 18 = -3*a. Suppose 4*c - a - 5 = 0. Determine u so that -3/2*u + 3*u**c - 3/2*u**5 - 1/2 + u**2 - 1/2*u**4 = 0.
-1, -1/3, 1
Let i(v) be the second derivative of -2*v**6/15 - v**5/5 + 2*v**3/3 + 2*v**2 - 2*v. Let o(z) = -z**3 - z**2 - z - 1. Let s(j) = i(j) + 4*o(j). Factor s(m).
-4*m**2*(m + 1)**2
Suppose 2 = q + 1. Suppose -k = -4 + q. Factor -5*p**3 + 2*p**5 + p**3 + 0*p**3 - p + k*p.
2*p*(p - 1)**2*(p + 1)**2
Determine k, given that 0 - 2/11*k - 2/11*k**3 + 4/11*k**2 = 0.
0, 1
Let n = -54 - -57. Let g(r) be the first derivative of -2/3*r**6 + 0*r**2 + 1 + 6/5*r**5 + 0*r + 0*r**n - 1/2*r**4. Let g(z) = 0. What is z?
0, 1/2, 1
Let k(w) = w**3 - w. Let d be k(-1). Let s(m) be the third derivative of -1/21*m**3 + d*m + 0*m**4 - 2*m**2 + 1/210*m**5 + 0. Solve s(a) = 0 for a.
-1, 1
Suppose 3 = 2*r - 2*u + 9, 4*r + 7 = 3*u. Factor -9/2*f + 3 + 3/2*f**r.
3*(f - 2)*(f - 1)/2
Factor 32/7*a**2 + 18/7 + 48/7*a.
2*(4*a + 3)**2/7
Let s(u) = -4*u**3 + 6*u**2 + 4*u - 6. Let l(d) = -d**3 - 1. Let p(o) = 6*l(o) - s(o). Factor p(t).
-2*t*(t + 1)*(t + 2)
Let s(k) = -k + 2. Let r be s(-3). Let p(f) be the third derivative of 0*f**3 - 1/60*f**6 - 1/12*f**4 + 0 - f**2 - 1/15*f**r + 0*f. Find n such that p(n) = 0.
-1, 0
Let v be (-1)/(-4) - (-319)/4. Let d be (1/(-2))/((-15)/v). Suppose -2/3*j**2 + 2/3*j - 7/3*j**4 + 1/3 - d*j**3 - 2/3*j**5 = 0. What is j?
-1, 1/2
Factor -1/6*c**3 + 0*c**2 + 0 + 1/6*c.
-c*(c - 1)*(c + 1)/6
Let f(s) = s**2 + 4*s - 5. Let o be f(-5). Let k(c) be the first derivative of -2 + 0*c + 0*c**5 + 0*c**2 + o*c**4 + 0*c**3 - 1/15*c**6. Factor k(h).
-2*h**5/5
Let y(i) be the third derivative of i**8/26880 + i**7/5040 + i**6/2880 + i**4/24 + 4*i**2. Let a(p) be the second derivative of y(p). What is u in a(u) = 0?
-1, 0
Let k(b) = 4*b**4 + 4*b**3 + 7*b**2 - 7*b + 7. Let h(n) = 2*n**4 + 2*n**3 + 3*n**2 - 3*n + 3. Let v(w) = 7*h(w) - 3*k(w). Factor v(s).
2*s**3*(s + 1)
Let a = -7 + 3. Let n be ((-6)/(-12))/((-1)/a). Factor -h**4 - h**2 + 3*h**2 - h**n.
-h**2*(h - 1)*(h + 1)
Let m be ((-13)/(-10) + -1)/((-2340)/(-1950)). Factor 1/2*b + 1/4*b**2 + 0 - m*b**3.
-b*(b - 2)*(b + 1)/4
Suppose 0 = 13*q - 16 - 10. Factor 1 - 2/3*b - 1/3*b**q.
-(b - 1)*(b + 3)/3
Let o(h) be the third derivative of 1/9*h**4 - 1/9*h**3 + 0*h + 1/90*h**6 - 3*h**2 + 0 - 1/18*h**5. What is z in o(z) = 0?
1/2, 1
Let p(r) = r**3 + 3*r**2 - 2*r - 6. Let m be p(-3). Let w(g) be the second derivative of -1/21*g**3 + m - 1/42*g**4 - g + 0*g**2. Factor w(y).
-2*y*(y + 1)/7
Let i(o) = -o + 20. Let b be i(15). Solve 11 + 27*u - 2*u**2 - b + 6*u**2 + 8*u**2 = 0.
-2, -1/4
Let x(n) be the second derivative of n + 0 + 0*n**2 + 1/84*n**7 + 0*n**6 + 1/12*n**3 - 1/20*n**5 + 0*n**4. Find i, given that x(i) = 0.
-1, 0, 1
Let h = -5/6 - -43/30. Let 4/5*l - h*l**2 + 4/5 - 2/5*l**3 + 1/5*l**4 = 0. What is l?
-1, 2
Let s be ((-2)/(-5))/((-14)/(-20)). Factor -s*l - 2/7*l**2 - 2/7.
-2*(l + 1)**2/7
Let s(y) be the third derivative of y**8/1512 + 