t(s).
s*(3*s + 2)/5
Let s(j) be the first derivative of -2*j + 1/3*j**3 - 1/2*j**2 + 3. Let s(f) = 0. Calculate f.
-1, 2
Suppose 0 = 5*f - 2*c - 19, 5 - 1 = 2*f + c. Find h such that -4*h**2 - 6*h**f - 2*h**2 + 3*h + 4*h**4 + 3*h**5 + 3 - 2*h**4 + h**4 = 0.
-1, 1
Let l = -21/8 + 197/72. Let c(d) be the first derivative of -l*d**2 - 3 + 1/18*d**4 - 2/45*d**5 + 2/27*d**3 + 0*d. Factor c(j).
-2*j*(j - 1)**2*(j + 1)/9
Let q(z) be the first derivative of -z**6/6 - z**5/5 + 3*z**4/4 + z**3/3 - z**2 - 4. Factor q(u).
-u*(u - 1)**2*(u + 1)*(u + 2)
Let p(z) be the third derivative of z**5/15 - 13*z**4/6 + 8*z**3 + 12*z**2. Find m, given that p(m) = 0.
1, 12
Suppose 0 = 2*g - 20 + 4. Suppose -g + 0 = -2*q. Suppose w**q + w**2 - 2*w + 2*w + 2*w**3 = 0. Calculate w.
-1, 0
Let k(b) = -9*b - 1. Let c be k(1). Let j be (6/15)/((-12)/c). Find g, given that g**2 - 2/3 - j*g = 0.
-2/3, 1
Suppose 0*x - 3*x = -6. Let h(f) be the first derivative of -1/18*f**4 + 0*f**2 + 2/27*f**3 + 0*f + x. Find o, given that h(o) = 0.
0, 1
Let b(o) be the first derivative of -o**6/42 + 3*o**5/35 + o**4/28 - o**3/3 + 4*o/7 - 29. Solve b(c) = 0 for c.
-1, 1, 2
Let u = -5 - -5. Let b(s) be the first derivative of 0*s**2 - 1/2*s**4 + 2 - 2/5*s**5 + u*s**3 + 0*s. Solve b(m) = 0.
-1, 0
Factor -5/8*q - 1/4 + 3/8*q**2.
(q - 2)*(3*q + 1)/8
Let p(r) = -r**3 + 5*r**2 + r + 1. Let z be p(5). Factor -6*i**3 + 16*i**2 - 14*i + 0*i**2 - 2 + z.
-2*(i - 1)**2*(3*i - 2)
Let y(x) be the second derivative of 0 - 4*x + 1/6*x**4 - 3/2*x**2 - 1/30*x**5 + 0*x**3. Let i(s) be the first derivative of y(s). Factor i(q).
-2*q*(q - 2)
Let v(w) be the first derivative of -3*w**4/16 + 3*w**2/8 + 7. Let v(r) = 0. Calculate r.
-1, 0, 1
Let j(r) be the first derivative of 0*r - 2/3*r**3 + 0*r**2 + 2 + 1/360*r**6 + 1/6*r**4 + 1/30*r**5. Let a(q) be the third derivative of j(q). Factor a(v).
(v + 2)**2
Let r(i) be the third derivative of i**7/42 + 29*i**6/24 + 45*i**5/2 + 875*i**4/6 - 2500*i**3/3 - 9*i**2. What is y in r(y) = 0?
-10, 1
What is l in 3/2*l**3 - 1 - 13/4*l**2 + 3*l - 1/4*l**4 = 0?
1, 2
Suppose -12 - 4 = -4*g. Let l(w) be the third derivative of 0*w**3 - 1/84*w**g + 0 - 1/210*w**5 - 2*w**2 + 0*w. Solve l(y) = 0.
-1, 0
Let x(r) be the third derivative of 1/18*r**4 + 1/12*r**3 + 1/60*r**5 - 1/1260*r**7 + 8*r**2 + 0*r + 0 + 0*r**6. Factor x(k).
-(k - 3)*(k + 1)**3/6
Factor -9/2*v**3 - 3/2*v**5 + 9/2*v**4 + 3/2*v**2 + 0 + 0*v.
-3*v**2*(v - 1)**3/2
Suppose 20 = 5*a + 5*a. Factor 1/6*j**4 + 2/3*j**3 + 0 + 2/3*j**a + 0*j.
j**2*(j + 2)**2/6
Let l(p) be the third derivative of p**7/210 - p**6/120 - p**5/30 - p**2. Solve l(s) = 0.
-1, 0, 2
Find z, given that 20/13*z**2 - 24/13*z**4 - 10/13*z**3 + 18/13*z - 8/13*z**5 + 4/13 = 0.
-2, -1, -1/2, 1
Suppose 0 = -2*t - 6, -4*t - 12 = 3*s - 6. Factor -1/3 - 4/3*n**3 - 2*n**s - 4/3*n - 1/3*n**4.
-(n + 1)**4/3
Let g = -2 + 13. Suppose 0 = 5*r - 41 + g. Solve 4*l + 3*l + 3*l - r*l**2 + 4 = 0.
-1/3, 2
Let l(s) be the first derivative of s**3/4 - 3*s**2/4 + 3*s/4 - 5. What is a in l(a) = 0?
1
Let r be (-17)/(-119) + (-121)/(-35). Find u, given that 14/5*u**2 - r*u + 4/5 = 0.
2/7, 1
Let y(d) be the first derivative of -d - d**3 - 2 - 3/2*d**2 - 1/4*d**4. Factor y(x).
-(x + 1)**3
Let l be (20 - 0)*8/20. Solve -r**5 - 12*r**3 - 2*r - 3*r**5 - 5*r**4 + 2*r**5 - 3*r**4 - l*r**2 = 0.
-1, 0
Let d(q) be the third derivative of -q**5/240 + q**4/24 - q**3/6 - 7*q**2. Factor d(f).
-(f - 2)**2/4
Suppose 4*h - 2*h = -2*l - 10, 2*l = -h - 15. Let r(y) = -y - 10. Let p be r(l). Factor 1/3*v**5 + 0*v - 1/3*v**3 + 0*v**4 + p*v**2 + 0.
v**3*(v - 1)*(v + 1)/3
Let k(d) be the first derivative of -d**6/36 + d**5/15 + 6. Factor k(m).
-m**4*(m - 2)/6
Let s(m) be the first derivative of -2*m**3/15 - 2*m**2 - 10*m + 19. Factor s(k).
-2*(k + 5)**2/5
Let u(a) be the third derivative of 0*a + 1/210*a**7 + a**2 + 1/60*a**5 + 0*a**4 + 1/60*a**6 + 0 + 0*a**3. Factor u(z).
z**2*(z + 1)**2
Let u(m) be the second derivative of -3*m**5/4 + 3*m**4/4 + m**3 + 2*m. Solve u(s) = 0 for s.
-2/5, 0, 1
Let q(i) be the first derivative of -4*i**3/9 + i**2/3 + 2*i/3 + 11. Factor q(u).
-2*(u - 1)*(2*u + 1)/3
Let p be (4/(-7))/(4/(-14)). Factor -2*y**4 + 2*y - 2*y**3 - y**p - 2*y**2 + 5*y**2.
-2*y*(y - 1)*(y + 1)**2
Let m(p) be the first derivative of p**4/16 + 5*p**3/12 + p**2 + p + 2. Factor m(l).
(l + 1)*(l + 2)**2/4
Let o = -1/1694 - -68/12705. Let i(l) be the third derivative of -1/6*l**3 + 1/12*l**4 + 0*l**5 + 0*l - 1/60*l**6 + o*l**7 - 2*l**2 + 0. Factor i(p).
(p - 1)**3*(p + 1)
Let r(s) be the third derivative of s**7/3360 + s**6/720 + s**5/480 - s**3/6 + 3*s**2. Let n(v) be the first derivative of r(v). Determine y so that n(y) = 0.
-1, 0
Let u be 1124/10 - (-2)/(-5). Let v = -332/3 + u. Factor 1/3*i**2 + v*i + 4/3.
(i + 2)**2/3
Let t(j) = -22*j**3 + 30*j**2 + 8*j - 30. Let o(a) = -15*a**3 + 20*a**2 + 5*a - 20. Let b(q) = -7*o(q) + 5*t(q). Factor b(c).
-5*(c - 2)*(c - 1)*(c + 1)
Let s(v) be the second derivative of -v**7/420 + v**6/90 - v**5/60 - 5*v**3/6 + v. Let w(f) be the second derivative of s(f). Factor w(x).
-2*x*(x - 1)**2
Let h(q) be the third derivative of q**8/20160 - q**4/8 + 4*q**2. Let c(k) be the second derivative of h(k). Factor c(d).
d**3/3
Let y(j) be the third derivative of 0*j - 3/20*j**6 + 0*j**3 + 0 + 0*j**5 - 3/112*j**8 + 1/8*j**4 - 4*j**2 + 4/35*j**7. Factor y(c).
-3*c*(c - 1)**3*(3*c + 1)
Suppose 5*y - 2*y = 6. Factor 1/3*q**y + 4/3 + 4/3*q.
(q + 2)**2/3
Let y be 4/(0 + 2 + 4). Let l(f) be the second derivative of 4/9*f**3 - y*f**2 + 0 + 1/60*f**5 - 5/36*f**4 + 2*f. Factor l(h).
(h - 2)**2*(h - 1)/3
Suppose i - 8 = -5*x - i, x + 3 = -5*i. Let n = 97/356 + -2/89. Factor 3/2*m**x + 9/4*m**3 + n*m + 0 + m**4.
m*(m + 1)**2*(4*m + 1)/4
Let i(o) be the second derivative of 1/24*o**4 + 1/2*o**2 - 2*o + 0 + 1/60*o**5 - 1/3*o**3. Let h(k) be the first derivative of i(k). Find m such that h(m) = 0.
-2, 1
Suppose 3*r - b - 11 = 0, -3*r - 2*r + 19 = -b. Determine f so that 6*f - 2*f - 8*f**2 - 18*f**2 + 18*f**3 + r*f**2 = 0.
0, 2/9, 1
Let l(c) be the third derivative of 1/42*c**8 + 0*c**3 + 0*c + 0 + 1/35*c**7 - 1/12*c**6 + 2*c**2 - 1/10*c**5 + 1/12*c**4. Let l(t) = 0. What is t?
-1, 0, 1/4, 1
Let d(v) be the third derivative of -v**5/12 + 5*v**4/12 - 5*v**3/6 + 11*v**2. Factor d(m).
-5*(m - 1)**2
Suppose 0 = -0*o + 2*o - 12. Let h(c) = 4*c**2 + 10*c + 10. Let t(g) = g + 1. Let i(b) = o*t(b) + h(b). Factor i(j).
4*(j + 2)**2
Suppose 14 = 2*j + 5*b, -b + 6*b = -j + 12. Let u(s) be the first derivative of -3/2*s**j - 3/5*s**5 + 1/2*s**4 + 2/3*s**3 - 1 + s + 1/6*s**6. Factor u(v).
(v - 1)**4*(v + 1)
Let n(s) be the second derivative of -2*s**7/189 - 7*s**6/135 - s**5/10 - 5*s**4/54 - s**3/27 - 6*s. Solve n(a) = 0.
-1, -1/2, 0
Suppose 0 = -9*w + 7*w + 10. Factor -2/3*b**3 - 10/9*b**2 + 0 + 2/9*b**4 + 2/9*b**w - 4/9*b.
2*b*(b - 2)*(b + 1)**3/9
Determine m, given that -4/9*m - 2/9 - 2/9*m**2 = 0.
-1
Let l(j) = -2*j**4 + 8*j**3 - 9*j**2 + 11*j - 2. Let n(q) = -q - 8. Let a be n(-5). Let w(t) = -t**2 - t. Let o(x) = a*w(x) - l(x). Suppose o(c) = 0. What is c?
1
Factor -3/7*k**2 - 3/7*k**5 + 0 + 0*k - 9/7*k**4 - 9/7*k**3.
-3*k**2*(k + 1)**3/7
Let v be ((-132)/27 - -5)/1. Let c(f) be the first derivative of -2/3*f + v*f**3 + 2 + 1/6*f**2. Find u such that c(u) = 0.
-2, 1
Let g(c) = c**2 + 7*c + 4. Let h be g(-7). Factor -2*b + b - 2 + h*b**2 + 5*b**4 + 5*b**2 + 13*b**3.
(b + 1)**3*(5*b - 2)
Let q be 5 - 5 - (0 + 1). Let s(x) = -2*x**3 + 2*x**2 - 1. Let f be s(q). Determine g, given that g**f + 0*g**2 - g**2 - g**5 + g**4 + 0*g**4 = 0.
-1, 0, 1
Let j(l) be the first derivative of 2*l**3/9 - 8*l/3 + 15. Suppose j(s) = 0. Calculate s.
-2, 2
Let q(z) be the third derivative of z**8/48 + 3*z**7/70 + z**6/60 + 11*z**2 + z. Factor q(h).
h**3*(h + 1)*(7*h + 2)
Factor 3*k**3 + 0*k + 3/8*k**5 + 15/8*k**4 + 0 + 3/2*k**2.
3*k**2*(k + 1)*(k + 2)**2/8
Let y be ((-1)/5)/1 + 29/45. Determine c, given that 0 + y*c + 2/3*c**2 = 0.
-2/3, 0
Let j(b) = -b**3 + 8*b**2 - 6*b - 4. Let o be j(7). Let a(x) be the first derivative of 2/15*x**o + 2/5*x - 2/5*x**2 - 1. Suppose a(p) = 0. What is p?
1
Let z(p) be the third derivative of -5*p**2 + 1/10*p**5 + 0 - 1/8*p**4 - 1/40*p**6 + 0*p**3 + 0*p. Let z(r) = 0. Calculate r.
0, 1
Let