ivative of -1/2*k**2 - 1/12*k**4 + 0 + k + 0*k**3. Let g(a) = -4*s(a) + t(a). Factor g(v).
-(v - 2)*(v + 1)**3
Let q(m) = m**2 + m - 1. Let t(n) = -4*n**2 - 10*n - 6. Let g(w) = -2*q(w) - t(w). Factor g(c).
2*(c + 2)**2
Let c = 539/12 - 133/3. Let r(m) be the first derivative of 1 + 0*m + 1/8*m**2 + 15/16*m**4 + 9/20*m**5 + c*m**3. Solve r(w) = 0 for w.
-1, -1/3, 0
Let l(q) be the first derivative of -1/3*q**3 + 0*q - 3 - q**2 + 1/4*q**4. Factor l(c).
c*(c - 2)*(c + 1)
Let q(w) be the second derivative of -w**5/40 + w**4/12 + w**3/12 - w**2/2 - 19*w. Factor q(y).
-(y - 2)*(y - 1)*(y + 1)/2
Let b be 3/(-12)*-10*(-6)/(-5). Let x(p) be the third derivative of 0*p + 0*p**4 + 0 - p**2 + 0*p**b - 1/240*p**5. Determine o, given that x(o) = 0.
0
Let z(h) be the first derivative of 1/5*h**2 + 0*h - 24/25*h**5 - 4/5*h**3 + 13/10*h**4 - 3 + 4/15*h**6. Factor z(b).
2*b*(b - 1)**2*(2*b - 1)**2/5
Let q(w) be the second derivative of -w**8/13440 + w**7/2520 - w**6/1440 - w**4/3 + 4*w. Let a(c) be the third derivative of q(c). Factor a(h).
-h*(h - 1)**2/2
Suppose -5*p + 25 = 0, -8 = -2*v + 2*p + 14. Suppose -2*w - 6 = -3*c + w, -2*c + v = 4*w. Factor 5/4*b**c - b**5 + 0*b + 0 + 0*b**2 - 1/4*b**3.
-b**3*(b - 1)*(4*b - 1)/4
Let g(j) be the first derivative of 3*j**5/35 + 15*j**4/28 - 3*j**3 + 69*j**2/14 - 24*j/7 + 15. Let g(n) = 0. Calculate n.
-8, 1
Let z be (-9)/(-27)*(-12)/(-10). Solve 2/5*h**2 - 2/5 - 2/5*h**3 + z*h = 0.
-1, 1
Let r(t) = 3*t**2 + t - 1. Let p be r(1). Solve -3*z**p + 4*z**2 - z**3 - 8*z**2 = 0 for z.
-1, 0
Let u = -12 + 15. Factor -2*w**2 + 6*w**u + 7*w**4 + 3*w**3 + 4*w**2.
w**2*(w + 1)*(7*w + 2)
Suppose 3*l = -2*l - 15. Let i = l - -5. Solve 5/4*d**4 + 1/2*d**5 + 1/2*d**3 - 1/4 - d - d**i = 0.
-1, -1/2, 1
Suppose 4*j - 2*v = 14 - 6, j + 2*v - 12 = 0. Suppose -2*w**2 - 7 + 3*w**3 + 5 - w**j + 2 = 0. What is w?
0, 1, 2
Suppose 5*o - 15 = 0, 0 = -7*x + 3*x + 4*o - 16. Let t be 26/24 + x/3. Solve 0*r - 3/2*r**3 + t*r**4 + 3/4*r**2 + 0 = 0.
0, 1
Let a(b) = b**5 - b**4 + b**3 - b**2 + b - 1. Let r(u) = -30*u**5 + 114*u**4 - 198*u**3 + 60*u**2 + 39*u + 15. Let x(d) = 15*a(d) + r(d). Solve x(z) = 0 for z.
-2/5, 0, 1, 3
Solve 6/7*b**2 + 4/7*b - 2/7*b**4 + 0 + 0*b**3 = 0 for b.
-1, 0, 2
Factor -2/15*i**3 + 2/3*i - 8/15*i**2 + 0.
-2*i*(i - 1)*(i + 5)/15
Let b(p) be the third derivative of -1/20*p**6 + 0*p + 1/4*p**4 - 1/14*p**7 + 2*p**2 + 0 + 1/4*p**5 + 0*p**3. Factor b(n).
-3*n*(n - 1)*(n + 1)*(5*n + 2)
Let o(n) = 6*n**2 + 4. Let f(c) = -5*c**2 - 3. Let z(a) = -4*f(a) - 3*o(a). Let g be z(1). Factor -2/7*u - 2/7*u**g + 0.
-2*u*(u + 1)/7
Let v = 2 + -2. Suppose 9*n - 2 + 2*n**3 + n**3 - 1 + v*n**3 - 9*n**2 = 0. Calculate n.
1
Let q be ((-12)/10)/((-6)/15). Let r(u) be the third derivative of 0*u**4 - 1/210*u**7 - 1/6*u**q + 1/30*u**5 + 0*u + 0*u**6 + 0 + u**2. Factor r(w).
-(w - 1)**2*(w + 1)**2
Suppose 3 - d**2 - 2*d**2 + 4*d**2 - 4*d**2 = 0. What is d?
-1, 1
Let b(m) = -5*m**3 + 35*m**2 - 25*m + 25. Let x(w) = w**2 + 1. Let r(n) = -b(n) + 15*x(n). Suppose r(u) = 0. What is u?
1, 2
Let u(y) be the first derivative of 2*y**3/3 - 10*y**2 + 50*y + 9. Factor u(d).
2*(d - 5)**2
Let k(f) = f**3 - 5*f**2 + 5*f - 1. Let n be k(4). Solve 0*v**2 - 2*v**4 + n*v**2 + 4*v**3 - 5*v**2 = 0 for v.
0, 1
Let x(l) be the second derivative of l**5/90 + l**4/27 - l**3/27 - 2*l**2/9 - 14*l. Factor x(o).
2*(o - 1)*(o + 1)*(o + 2)/9
Let x(j) = -2*j. Let u be x(-1). Let f(a) be the first derivative of -3*a**u + 10/3*a**3 + 1 - 4*a + 3*a**4. Determine i, given that f(i) = 0.
-1, -1/2, 2/3
Let i be 1*(-1)/((-3)/33). Let t = i + -7. Factor -3*p**t - p**3 - 19 + 19 - p**3.
-p**3*(3*p + 2)
Let t(a) be the second derivative of 0*a**2 + 0*a**3 + 0 + 3*a + 1/20*a**5 - 1/12*a**4. Factor t(w).
w**2*(w - 1)
Let b(x) be the first derivative of x**7/2520 + x**6/270 + x**5/72 + x**4/36 - x**3/3 + 4. Let t(p) be the third derivative of b(p). Factor t(j).
(j + 1)**2*(j + 2)/3
Suppose 10 = 2*v - 0*v. Let a(i) = i**2 + 10*i + 10. Let c be a(-9). Find n such that v*n + n**2 - 4*n - 3*n + c = 0.
1
Let y(b) = -8 + 6*b**2 + 28*b**2 + 27*b + 10*b**2 + 26*b**3. Let a(n) = -9*n**3 - 15*n**2 - 9*n + 3. Let u(w) = 17*a(w) + 6*y(w). What is c in u(c) = 0?
-1
Let s be 0/3 + (-6)/(-2). Determine g, given that 3*g**3 - g**3 - 2*g**4 + 2*g**2 - 2*g**s = 0.
-1, 0, 1
Let o(i) be the second derivative of -i**5/70 + i**3/21 + 11*i. Factor o(k).
-2*k*(k - 1)*(k + 1)/7
Let d = -54/7 + 277/35. Let 2/5*m**2 - 1/5*m + 0 - d*m**3 = 0. Calculate m.
0, 1
Let x(t) be the first derivative of 0*t + 2/3*t**2 + 1/3*t**4 - 10/9*t**3 + 1. Suppose x(y) = 0. Calculate y.
0, 1/2, 2
Let c(a) be the first derivative of -3/4*a + 9/20*a**5 + 3/8*a**4 - 2 - 1/2*a**3 - 9/8*a**2 + 1/8*a**6. Factor c(v).
3*(v - 1)*(v + 1)**4/4
Let i(u) be the second derivative of -u**7/56 - u**6/40 + 9*u**5/80 + 5*u**4/16 + u**3/4 - 13*u. Suppose i(d) = 0. Calculate d.
-1, 0, 2
Let o be 3/(9/12*-1). Let k be (6/o)/((-2)/4). Suppose -5*h**2 + 4*h**3 - h - 5*h**3 - k*h**3 = 0. What is h?
-1, -1/4, 0
Let k = -32 - -38. Let f(h) be the third derivative of 1/1680*h**8 + 1/210*h**7 + 1/60*h**k + 1/30*h**5 + 1/30*h**3 + 1/24*h**4 + 0*h + 0 + 3*h**2. Factor f(j).
(j + 1)**5/5
Let j be (-135)/(-60) + (-3)/(-4). Let o(y) be the third derivative of 0*y**j + 1/150*y**5 + 0 - 3*y**2 + 0*y - 1/60*y**4. Factor o(x).
2*x*(x - 1)/5
Let c(q) be the first derivative of 2/15*q**5 + 1/24*q**4 - 1/3*q**3 + 1/24*q**6 - 3/2*q**2 + 0*q - 3. Let i(n) be the second derivative of c(n). Factor i(v).
(v + 1)**2*(5*v - 2)
Suppose 5*f - 2*i + 0 - 8 = 0, 2*f = 2*i + 8. Factor 2/3*p**4 + 2/3*p**2 + 0*p + f + 4/3*p**3.
2*p**2*(p + 1)**2/3
Let y(n) be the second derivative of n**5/30 + n**4/9 + n**3/9 + 5*n. Factor y(q).
2*q*(q + 1)**2/3
Suppose -z**2 + 8*z - 4*z**4 + 0*z**4 + 5*z**2 - 8*z**3 = 0. What is z?
-2, -1, 0, 1
Suppose 13*p - 8*p - 10 = 0. What is k in 0 - 4*k + 3 - 5 - 2*k**p = 0?
-1
Let k(f) be the third derivative of f**9/5040 - f**8/2800 - f**3/3 + 3*f**2. Let l(t) be the first derivative of k(t). Factor l(a).
3*a**4*(a - 1)/5
Suppose 4*q + 7 = -0*g + g, 2*g + 19 = -3*q. Let l be (-10)/(-5)*q/(-2). Let -2/3*z**l + 0*z**2 + 0*z + 0 = 0. What is z?
0
Let v(t) be the first derivative of t**6/360 + t**5/180 - t**2 + 2. Let j(z) be the second derivative of v(z). Find x, given that j(x) = 0.
-1, 0
Let k(m) be the second derivative of -3*m + 1/30*m**6 - 5/6*m**3 + 1/20*m**5 - m**2 - 1/4*m**4 + 0. Find w, given that k(w) = 0.
-1, 2
Let i be -4 + 2 + 8 + -3. Suppose 0 = 3*r + 4*h - 14, i = -5*r + 2*h + 9. Factor -4/3*u + 10/3*u**3 + 0 - 2*u**r.
2*u*(u - 1)*(5*u + 2)/3
Let t(a) be the second derivative of a**7/210 + a**6/75 - a**5/100 - a**4/30 - 9*a. Factor t(b).
b**2*(b - 1)*(b + 1)*(b + 2)/5
Suppose h = -0*h + 7. Let d be -8*1*h/(-42). Suppose 8/9*i**2 - 2/9*i**5 + 0 - d*i**3 - 2/9*i + 8/9*i**4 = 0. What is i?
0, 1
Let z(i) = i**2 - 24*i + 82. Let h be z(20). Factor 8/3*f + 0 - 4/3*f**h.
-4*f*(f - 2)/3
Let q be -1 + ((-135)/(-21))/5. Factor q*o**4 + 0 + 6/7*o**2 + 2/7*o + 6/7*o**3.
2*o*(o + 1)**3/7
Let s(n) be the second derivative of -n**6/6 + 5*n**4/12 - 19*n + 2. Find d, given that s(d) = 0.
-1, 0, 1
Let c(l) = -l**3 - l**2 - l + 1. Let d(b) = 4*b**3 + 11*b**2 + 6*b - 11. Let i(h) = -5*c(h) - d(h). Suppose i(w) = 0. What is w?
-1, 1, 6
Let l(b) be the first derivative of -1/2*b**2 + 1/6*b**3 + 0*b - 1. Solve l(p) = 0.
0, 2
Let d(p) be the first derivative of -1/6*p**2 - 11 - 1/6*p**3 + 0*p - 1/24*p**4. Factor d(g).
-g*(g + 1)*(g + 2)/6
Let k(n) = -n - 8. Let v be k(-10). Suppose -v*d = -0*d. Find i such that d*i - i**2 - 7/2*i**5 + 0 + 6*i**4 - 3/2*i**3 = 0.
-2/7, 0, 1
Let c(u) be the second derivative of -u**5/20 - u**4/6 + u**3/2 + 3*u. Let z be c(-3). Factor -5*s**4 - 2*s**2 + 6*s**3 + 2*s**4 + z*s**2 - s**2.
-3*s**2*(s - 1)**2
Let l(h) be the first derivative of -h**6/300 - h**5/75 - h**4/60 - 5*h**2/2 + 4. Let m(g) be the second derivative of l(g). Suppose m(p) = 0. What is p?
-1, 0
Let p(d) be the first derivative of 3 + 1/6*d**3 - 1/4*d**2 + 0*d. Factor p(x).
x*(x - 1)/2
Let w(q) be the third derivative of q**7/70 + q**6/10 + 3*q**5/10 + q**4/2 + q**3/2 + q**2. Let w(v) = 0. What is v?
-1
Let q be (-2)/(((-20)/6)/5). Let f(u) be the third derivative of 1/50*u**5 +