 d(m).
m**2*(m - 1)*(m + 1)**2
Let n(p) be the third derivative of 0*p - 1/168*p**8 + p**2 + 0 + 0*p**6 + 0*p**4 + 0*p**7 + 0*p**3 + 0*p**5. Let n(m) = 0. Calculate m.
0
Suppose 6 = -0*j + 2*j. Suppose 0 = 4*d - d - 9. Factor -4*y**d - y**3 + 4*y**j.
-y**3
Let n = 28 - 13. Suppose 3*p - n = -0*p. Solve 0*w + 0*w**2 + w + p*w**2 - 4*w**2 = 0.
-1, 0
Determine d so that -2*d**2 - 2*d**3 + 4 - 2 - 2*d**2 + d**5 + 2*d**4 + d = 0.
-2, -1, 1
Let l(s) = s**2 + 7*s + 4. Let b be l(-5). Let c(u) = -u**2 - 3. Let m(r) = r**2 + r + 4. Let t(z) = b*c(z) - 4*m(z). Factor t(v).
2*(v - 1)**2
Let t(f) = 7 + 0 + 9*f + 1 + f**2. Let w be t(-8). Factor 0*g**2 + w*g**4 + 0 + 2/3*g**3 - 1/3*g**5 - 1/3*g.
-g*(g - 1)**2*(g + 1)**2/3
Solve -10/3*j - 5/3*j**3 + 0 - 5*j**2 = 0 for j.
-2, -1, 0
Let s(u) be the second derivative of 0*u**2 + 1/10*u**5 + 0*u**3 + 0 + 1/6*u**4 + 3*u. Find d, given that s(d) = 0.
-1, 0
Let b(k) = -k**3 - k**2 + k + 1. Let w(d) = -22*d**3 - 70*d**2 - 62*d - 14. Let x(s) = -2*b(s) + w(s). Factor x(l).
-4*(l + 1)*(l + 2)*(5*l + 2)
Let c(n) be the first derivative of -2*n**5/55 + n**4/22 + 2*n**3/11 - 5*n**2/11 + 4*n/11 + 2. Solve c(p) = 0.
-2, 1
Suppose -19*a + 22*a = 9. Let h(z) be the third derivative of 0*z + 0 - 1/24*z**4 + 1/9*z**3 - a*z**2 - 1/15*z**5 - 7/360*z**6. Let h(k) = 0. Calculate k.
-1, 2/7
Let o(v) be the first derivative of -2*v - 1 + 0*v**3 - 1/90*v**6 - 1/18*v**4 - 1/20*v**5 + 0*v**2. Let m(g) be the first derivative of o(g). Factor m(w).
-w**2*(w + 1)*(w + 2)/3
Let f be 0*-3*3/(-18). Suppose -n = -f*n - 2. Factor 2*l**2 + l**2 - n*l**2 - 2*l + 1 + 4*l.
(l + 1)**2
Let t(i) = 11*i**5 - 8*i**5 + 2*i**4 - 2*i**3 + 0*i**3 - 3*i. Let k(c) = 16*c**5 + 10*c**4 - 11*c**3 + c**2 - 16*c. Let a(o) = -6*k(o) + 33*t(o). Factor a(v).
3*v*(v - 1)*(v + 1)**3
Let h(z) = -2 + 3*z - 4*z**2 + z**2 + 0*z**2 - 2*z. Let c(w) = -4*w**2 - 2. Let j(f) = -2*c(f) + 3*h(f). Let j(v) = 0. Calculate v.
1, 2
Suppose w - 5*w = -24. Suppose 2*f - 4*f + w = 0. Factor n - 4*n + 2*n**f + 2 + n - 2*n**2.
2*(n - 1)**2*(n + 1)
Suppose -4*g + 3*a = -2*a - 41, 2*a = 5*g - 30. Factor g*l - 13*l + 6*l**2 - 8 + 2.
3*(l - 2)*(2*l + 1)
Let q(k) be the third derivative of k**8/672 + k**7/420 - k**6/240 - k**5/120 - 5*k**2. Factor q(p).
p**2*(p - 1)*(p + 1)**2/2
Let k(w) be the second derivative of 2*w**7/21 + 4*w**6/5 + 9*w**5/5 + 4*w**4/3 + 9*w. Suppose k(t) = 0. What is t?
-4, -1, 0
Let s(l) be the third derivative of -l**6/40 + l**4/8 - 21*l**2. Factor s(f).
-3*f*(f - 1)*(f + 1)
Let f be 20/25 + 9/(-15). Factor 2*a - 33/5*a**2 - f - 16/5*a**4 + 8*a**3.
-(a - 1)**2*(4*a - 1)**2/5
Let p(w) be the second derivative of 2*w**2 + 3*w + 0 + w**3 - 5/6*w**4. Factor p(c).
-2*(c - 1)*(5*c + 2)
Let v(j) be the first derivative of -2/3*j - 3 - 2/3*j**2 + 2/3*j**3. Let v(q) = 0. What is q?
-1/3, 1
Let q(y) be the first derivative of 0*y - 4/15*y**5 + 2 + 1/2*y**4 + 1/18*y**6 + 1/6*y**2 - 4/9*y**3. Suppose q(w) = 0. Calculate w.
0, 1
Let g(c) be the first derivative of -c**4/14 + 4*c**3/21 - c**2/7 + 6. Find y, given that g(y) = 0.
0, 1
Determine g so that 9*g**3 + 6*g**4 - 2*g**2 - 6*g**3 - g**2 = 0.
-1, 0, 1/2
Let i(c) be the third derivative of -4*c**2 + 0 + 1/390*c**5 - 1/39*c**4 + 0*c + 4/39*c**3. Factor i(j).
2*(j - 2)**2/13
Let n(p) be the first derivative of -5*p**4/4 - 5*p**3/3 + 36. Let n(w) = 0. What is w?
-1, 0
Let k(r) be the third derivative of -r**6/360 + r**5/15 - 2*r**4/3 + 32*r**3/9 + 21*r**2. Factor k(s).
-(s - 4)**3/3
Let h be (6/(-9) + 0)*(-23 + 20). Solve 3/4 - 3/4*i**h + 0*i = 0.
-1, 1
Factor -13/5*r**2 + 4/5 - r**3 - 4/5*r.
-(r + 1)*(r + 2)*(5*r - 2)/5
Let t(v) = 6*v**2 - 8. Let z(n) = -n - 1. Let s(u) = -t(u) + 6*z(u). Let f(m) = -5*m**2 - 5*m + 2. Let h(a) = 5*f(a) - 4*s(a). Find b such that h(b) = 0.
-2, 1
Suppose 3*p = 8*p + r - 31, -4*r = -4. Let g be ((-36)/48)/(p/(-4)). Factor d + 1/2 + g*d**2.
(d + 1)**2/2
Factor 0*c**2 + 0*c**2 + 248*c - 278*c - 5*c**2.
-5*c*(c + 6)
Factor 2/5*a**4 - 4/5*a - 6/5*a**2 + 0*a**3 + 0.
2*a*(a - 2)*(a + 1)**2/5
Suppose 2*d - 4*k = 14, -5*k + 11 = d - 3. Let n be 0 - (-1 - (-7)/d). Solve n - 2/9*j - 2/9*j**2 + 2/9*j**3 = 0 for j.
-1, 1
Factor 3/2*m**3 - 5/2*m**4 + 0*m + 0 + m**2.
-m**2*(m - 1)*(5*m + 2)/2
Let v(w) be the second derivative of -w**4/42 + w**3/21 - 7*w. Solve v(g) = 0 for g.
0, 1
Let r(o) be the first derivative of 2*o**5/5 - o**4/24 - o**3/18 + 8. Let r(w) = 0. What is w?
-1/4, 0, 1/3
Solve -2 - 10/3*s**2 + 2/3*s**3 + 14/3*s = 0.
1, 3
Let i be (-1)/(-10*(-6)/(-48)). Determine m, given that -i*m**3 + 0*m**4 + 2/5*m + 0*m**2 + 0 + 2/5*m**5 = 0.
-1, 0, 1
Let b(p) be the third derivative of -p**7/3360 + p**6/960 + p**5/80 + p**4/12 + p**2. Let r(g) be the second derivative of b(g). Let r(w) = 0. Calculate w.
-1, 2
Let x(g) be the second derivative of 4*g**5/5 + g**4/3 - 8*g**3/3 - 2*g**2 - 16*g. Find k such that x(k) = 0.
-1, -1/4, 1
Determine d, given that 0*d**3 + 1/4*d**2 + 0*d + 0 - 1/4*d**4 = 0.
-1, 0, 1
Suppose -q + 0*q = -2. Factor 6*v + 1 - 4*v**3 + 3 - 2*v**2 + 6*v**4 - 2*v**q - 2*v**5 - 6.
-2*(v - 1)**4*(v + 1)
Let -1/6*t**2 + 0*t + 1/6 = 0. Calculate t.
-1, 1
Let o(d) = -2*d**2 + 4*d + 3. Let b be o(2). Let c(a) be the first derivative of -1/3*a**b - a + a**2 + 1. Let c(y) = 0. What is y?
1
Let m(c) be the third derivative of -c**8/26880 - c**5/60 - c**2. Let j(g) be the third derivative of m(g). Factor j(n).
-3*n**2/4
Let k(p) be the first derivative of 2*p**3/21 - 2*p**2/7 + 2*p/7 + 34. Factor k(w).
2*(w - 1)**2/7
Let s = 52 - 46. Let x(l) be the third derivative of 0 + 0*l - 3*l**2 - 1/6*l**3 + 0*l**5 - 1/60*l**s + 1/210*l**7 + 1/12*l**4. Factor x(n).
(n - 1)**3*(n + 1)
Let f(l) = -5*l**4 - 3*l**3 - 6*l**2 - 4*l. Let y(s) = s**4 + s**2 + s. Let h(m) = 5*f(m) + 20*y(m). Factor h(z).
-5*z**2*(z + 1)*(z + 2)
Let b(f) be the third derivative of f**7/350 - f**6/120 - f**5/300 + f**4/24 - f**3/15 - 3*f**2. Factor b(a).
(a - 1)**2*(a + 1)*(3*a - 2)/5
Let k = 88 + -86. Factor 0 - 2/5*g**3 + 2/5*g**k + 4/5*g.
-2*g*(g - 2)*(g + 1)/5
Let k(z) = z**2. Let m be k(1). Let d(b) = b**3 - b**2 + b. Let n(g) = -g**4 + 3*g**3 - 3*g**2 + 3*g. Let o(t) = m*n(t) - 3*d(t). Find p such that o(p) = 0.
0
Let z = 209 + -620/3. Suppose 6 + z*r**4 - 11*r**3 + 11/3*r**2 + 23*r = 0. What is r?
-1, -2/7, 3
Suppose 4*z = -3*l + 11, 5*z = 2*l - l + 9. Let -2*j**2 + 2 - 2 + 2 + z*j + j = 0. Calculate j.
-1/2, 2
Suppose -y + 1 = -1. Let h(u) be the first derivative of 0*u - 1/20*u**5 + 0*u**y + 1/12*u**3 + 0*u**4 + 1. Let h(t) = 0. What is t?
-1, 0, 1
Let f(z) be the first derivative of -1/3*z**3 - z**2 + 3 + 3/4*z**4 + 0*z. Factor f(b).
b*(b - 1)*(3*b + 2)
Let y(d) be the second derivative of d**5/270 + d**4/27 + 4*d**3/27 + 3*d**2/2 - 5*d. Let f(p) be the first derivative of y(p). Factor f(a).
2*(a + 2)**2/9
Let j = 1984/7 - 119039/420. Let y(l) be the third derivative of 0 - j*l**7 + 1/120*l**5 + 0*l + 0*l**4 + 0*l**6 - 3*l**2 + 0*l**3. What is c in y(c) = 0?
-1, 0, 1
Suppose 51 = -2*y + 3*o - 75, 2*y + 4*o + 154 = 0. Let p be y/(-21) - 3/1. Factor -2/7*g + 0 - p*g**5 + 0*g**4 + 4/7*g**3 + 0*g**2.
-2*g*(g - 1)**2*(g + 1)**2/7
Suppose 5*w - 10*w = 2*k - 6, -3*w - 2*k + 2 = 0. Determine b so that 0*b**2 + 0*b**4 + 3*b**4 + b**3 - 2*b**4 - w*b**2 = 0.
-2, 0, 1
Let q = 2491/8 + -311. Factor 3/2*w**2 - 3/2*w**3 + q*w**4 + 0 + 0*w.
3*w**2*(w - 2)**2/8
Let o(x) be the third derivative of -1/12*x**4 + 1/120*x**5 + 1/3*x**3 + x**2 + 0 + 0*x. Find c, given that o(c) = 0.
2
Let w(u) = -2*u**2 - u - 2. Let k(f) = -f. Let r(g) = 5*k(g) - w(g). Solve r(a) = 0 for a.
1
Let v(y) = -y**3 + 5*y**2 - 2*y - 6. Let z be v(3). Let s be (-2)/(-3) - 10/(-3). Solve 2*o**3 + z*o**s + 7*o - 7*o = 0.
-1/3, 0
Let n(l) be the second derivative of l**6/30 - l**5/5 + 5*l**4/12 - l**3/3 - 23*l. Factor n(z).
z*(z - 2)*(z - 1)**2
Let g(r) = r**3 + 8*r**2 - 1. Let o be g(-8). Let v be (-3 + 0)/(-2 - o). Factor 34/7*u**4 + 10/7*u**5 + 6*u**v + 22/7*u**2 + 0 + 4/7*u.
2*u*(u + 1)**3*(5*u + 2)/7
Let j(y) = -16*y**5 - 11*y**4 + 21*y**3 - 16*y - 11. Let r(t) = 3*t**5 + 2*t**4 - 4*t**3 + 3*t + 2. Let x(o) = 4*j(o) + 22*r(o). Factor x(g).
2*g*(g - 1)**2*(g + 1)**2
Solve -56*o**3 - o + 0*o**5 - 35*o - 64*o**2 - 8 - 24*o**4 - 4*o**5 = 0.
-2, -1
Let y(b) be the first derivat