= n*h(v) - 6*w(v). Factor t(m).
2*(m - 1)**2*(m + 1)*(2*m - 1)
Let l be ((6 + 0)/2 + -3)/(-2). Factor l - 2/3*j**2 - 2/3*j.
-2*j*(j + 1)/3
Let r(h) be the second derivative of 1/10*h**5 + 1/15*h**6 - 1/6*h**4 + 0 + 0*h**2 - 1/3*h**3 - h. Suppose r(c) = 0. Calculate c.
-1, 0, 1
Suppose -3 = -t - 0. Solve 6*x**2 + t*x**3 + 7*x**3 - 2 - 6*x**3 = 0.
-1, 1/2
Let j be ((-56)/(-10))/(-7) + 162/165. Solve j*q**3 - 2/11*q**4 + 6/11*q**2 + 4/11 - 10/11*q = 0.
-2, 1
Let o(n) be the third derivative of n**9/1008 + n**8/280 + n**7/840 - n**6/120 + n**4/12 + 2*n**2. Let j(t) be the second derivative of o(t). Solve j(r) = 0.
-1, 0, 2/5
Let l be (-6)/3 + (-14)/(-2). Let o be (-20)/(-75)*l/2. Factor -2/3*f**3 - 2/3 + o*f**2 + 2/3*f.
-2*(f - 1)**2*(f + 1)/3
Let n(o) be the third derivative of 1/240*o**5 + 0 + 0*o**3 - 2*o**2 - 1/240*o**6 + 1/840*o**7 + 0*o**4 + 0*o. Factor n(j).
j**2*(j - 1)**2/4
Let r be (-4)/10 - 2/(-5). Factor 0*t**2 + r - 1/4*t**3 - 5/4*t**4 - t**5 + 0*t.
-t**3*(t + 1)*(4*t + 1)/4
Let o(a) be the second derivative of -a**5/8 - 5*a**4/4 - 25*a**3/12 + 51*a. Factor o(c).
-5*c*(c + 1)*(c + 5)/2
Let r(b) be the second derivative of 1/5*b**2 - 2*b + 1/3*b**3 + 0 + 4/15*b**4 + 2/25*b**5. Factor r(j).
2*(j + 1)*(2*j + 1)**2/5
Let n be ((-8)/50)/(-1*1/5). Let -2/5*y**3 - n*y - 6/5*y**2 + 0 = 0. Calculate y.
-2, -1, 0
Let u(o) = -2*o - 3. Let p be u(-3). Factor 2*l**2 - 3*l**2 - p + 0 - 3*l + 1.
-(l + 1)*(l + 2)
Let u(k) = 3*k**3 + 9*k + k**3 - 10 + 11*k**2 - 3*k**3. Let m be u(-10). Solve 1/4*c + 1/2*c**2 + m + 1/4*c**3 = 0.
-1, 0
Let j be -3 + 3 + (1 - -1). Let z(m) = -m**2 + 4*m - 3. Let d be z(j). Factor -a**2 + 2 - d + 0*a**2.
-(a - 1)*(a + 1)
Let i(w) be the second derivative of -w**4/54 + 2*w**3/27 - w**2/9 - 7*w. Factor i(y).
-2*(y - 1)**2/9
Let i(r) be the first derivative of r**5/210 + r**4/21 + 4*r**3/21 + r**2 - 1. Let q(a) be the second derivative of i(a). Find d such that q(d) = 0.
-2
Let a(r) be the third derivative of -r**5/60 + 2*r**3/3 - 4*r**2. Let d be a(2). Factor 4/3*b**2 - 2/3 + 0*b + d*b**3 - 2/3*b**4.
-2*(b - 1)**2*(b + 1)**2/3
Let u(h) be the third derivative of h**9/151200 - h**8/50400 - 7*h**5/60 + 4*h**2. Let p(i) be the third derivative of u(i). Factor p(a).
2*a**2*(a - 1)/5
Let b(p) = -3*p**5 + p**4 - p**3 + 3*p**2 - 4*p + 4. Let k(l) = l**5 - l**2 + l - 1. Let d(z) = -b(z) - 4*k(z). Factor d(i).
-i**2*(i - 1)*(i + 1)**2
Suppose -12 = a - 9*n + 6*n, a = 4*n - 17. Factor 1/6*x**4 - 1/3*x**2 + 0*x + 0*x**a + 1/6.
(x - 1)**2*(x + 1)**2/6
Let z be ((-7)/(-28))/(2/4). Solve z*a + 2*a**2 - 3/2 = 0 for a.
-1, 3/4
Let f(q) = -q**2 - 6*q + 1. Let o be f(-6). Let z = o - -3. Factor -j**5 - 3*j**2 - j**5 + 2*j**3 + j**4 + j**z + j**2.
-2*j**2*(j - 1)**2*(j + 1)
Factor -1/7*i**3 + 1/7 - 3/7*i + 3/7*i**2.
-(i - 1)**3/7
Let v(m) = m**2 + 8*m + 3. Let y be v(-8). Let g(d) be the second derivative of 3*d + 0*d**y + 0*d**4 + 0*d**2 + 1/50*d**5 + 0 + 1/25*d**6. Factor g(x).
2*x**3*(3*x + 1)/5
Let m be 11/55 + 2/(-10). Let i(c) be the second derivative of c**2 + 0 + 2*c + 1/2*c**3 + m*c**4 - 1/20*c**5. Solve i(a) = 0 for a.
-1, 2
Let 4*p**3 - 5*p**3 + 3*p**2 - p**3 = 0. Calculate p.
0, 3/2
Let w(b) = -7 - b**3 - b**5 + 4 + 3. Let g(m) = 6*m**5 - 2*m**4 + 5*m**3 + 2*m**2 - m. Let o(a) = g(a) + 5*w(a). Factor o(u).
u*(u - 1)**3*(u + 1)
Suppose -5*x = -34 - 61. Let l = x + -5. Solve -4*a + 7*a + a + l*a**2 = 0 for a.
-2/7, 0
Suppose -o - 5 = 2*l - 4, 0 = -3*l - 3*o - 6. Let t be (7 + -5)/(l + 0). Suppose p**2 + 3*p + p**2 - p**2 + t + 0 = 0. What is p?
-2, -1
Let l = 22 + -15. Let s be (1/(-4))/(l/(-56)). Let 0 - 2/3*v**s + 0*v = 0. What is v?
0
Suppose -u - 22 = 3*z - 11, -5*u = 3*z - 5. Suppose -u = -3*j + v, 2 = -0*v + v. Suppose -j*m**2 + 6*m**2 + 3 - 7*m**2 = 0. What is m?
-1, 1
Suppose 1 = t - 4. Let l = t + -3. Determine x, given that 1/5*x**3 - 1/5*x**5 + 0*x + 1/5*x**l + 0 - 1/5*x**4 = 0.
-1, 0, 1
Let l(m) be the third derivative of -m**6/900 - m**5/100 - m**4/30 - m**3/2 + m**2. Let c(d) be the first derivative of l(d). Factor c(a).
-2*(a + 1)*(a + 2)/5
Let o(t) = 3 - 5*t + 5*t + 5*t + 7*t**2. Suppose 20 = -2*z - 2*z. Let q(n) = 8*n**2 + 6*n + 4. Let x(y) = z*q(y) + 6*o(y). Let x(a) = 0. What is a?
-1, 1
Let t(w) be the third derivative of -1/6*w**3 + 5*w**2 - 1/60*w**5 + 1/12*w**4 + 0*w + 0. Solve t(l) = 0 for l.
1
Factor 3*o**4 - 3*o**3 + 3*o - 7*o**2 + o**2 + 3*o**2.
3*o*(o - 1)**2*(o + 1)
Let q(x) be the third derivative of -x**7/1260 - x**6/180 - x**4/8 - 4*x**2. Let p(i) be the second derivative of q(i). Let p(z) = 0. What is z?
-2, 0
Let a(c) be the second derivative of -3*c**5/80 + 3*c**4/16 + c**3/2 - 3*c. Factor a(s).
-3*s*(s - 4)*(s + 1)/4
Let v be ((0 - 2) + 24)/2. Suppose -21*z + 12*z**2 + 0*z**2 - v + 5 = 0. What is z?
-1/4, 2
Suppose 5*z = 2*f + 230, -41 - 106 = -3*z + 3*f. Let c = 47 - z. Factor 1/2*v + 0 + v**2 + 1/2*v**c.
v*(v + 1)**2/2
Factor 6*w**3 - 4*w**3 - 3*w + 4 - 3*w.
2*(w - 1)**2*(w + 2)
Let a(d) be the third derivative of -2/105*d**5 + 1/21*d**3 + 1/28*d**4 + 0 + 9*d**2 + 0*d. Factor a(r).
-2*(r - 1)*(4*r + 1)/7
Let r(j) be the first derivative of -1 - 1/4*j**4 + 0*j**2 - 1/3*j**3 + 0*j. Factor r(q).
-q**2*(q + 1)
Let u(j) = j**3 - 3*j**2 + j - 1. Let s be u(3). Factor -3 + s*n**3 - 1 - 4*n - 2*n.
2*(n - 2)*(n + 1)**2
Let o(z) be the first derivative of z**6/6 + 3*z**5/5 + 3*z**4/4 + z**3/3 + 4. Find q, given that o(q) = 0.
-1, 0
Suppose -3*l + 9 + 6 = 0. Suppose 4*q**3 + 2*q**l - 5*q**3 + q**3 = 0. What is q?
0
Let w(q) be the first derivative of -3*q**4/20 + q**3 + 3. Find f such that w(f) = 0.
0, 5
Let j(s) be the first derivative of -2 + s**2 + 1/3*s**3 - 1/4*s**4 + 0*s. Factor j(i).
-i*(i - 2)*(i + 1)
Let i(y) be the first derivative of -y**6/4 + 9*y**5/5 - 21*y**4/4 + 8*y**3 - 27*y**2/4 + 3*y - 6. Factor i(x).
-3*(x - 2)*(x - 1)**4/2
Let c be ((-78)/28 - -3) + 4/14. Let q(n) be the second derivative of c*n**2 + 1/10*n**5 - 1/3*n**3 + 3*n + 0 - 1/30*n**6 + 0*n**4. Factor q(d).
-(d - 1)**3*(d + 1)
Factor 6/7*s**2 + 8/7*s + 0 - 2*s**3.
-2*s*(s - 1)*(7*s + 4)/7
Let g(q) be the third derivative of -q**9/15120 + q**7/1260 - q**5/120 - q**4/24 - 2*q**2. Let c(p) be the second derivative of g(p). Find m such that c(m) = 0.
-1, 1
Suppose 0 = -4*i + 4*g + 108, -i + 4*i = -2*g + 96. Let z be ((-108)/(-16))/(i/16). Factor z*y**2 - 22/5*y + 4/5.
2*(y - 1)*(9*y - 2)/5
Let w(k) be the second derivative of -9*k**5/160 - k**4/8 + k**3/4 - 33*k. Let w(u) = 0. Calculate u.
-2, 0, 2/3
Suppose o + 2*d - 5*d = 4, -3*d = 3. Factor 4*x**2 - o + 6*x - 2*x**5 + 0*x**5 + 7 - 4*x**3 - 4 - 6*x**4.
-2*(x - 1)*(x + 1)**4
Let l(j) be the second derivative of -5*j**5/7 + 15*j**4/7 - 16*j**3/7 + 8*j**2/7 - 3*j. Suppose l(v) = 0. Calculate v.
2/5, 1
Let n(f) be the second derivative of -f**5/270 + f**4/27 - 4*f**3/27 + 3*f**2/2 - 3*f. Let p(z) be the first derivative of n(z). Suppose p(j) = 0. What is j?
2
Let l(b) be the second derivative of -b**5/150 + b**4/90 - 2*b. Factor l(x).
-2*x**2*(x - 1)/15
Let w(i) be the third derivative of -i**6/180 - i**5/15 - i**3/6 - 2*i**2. Let n(l) be the first derivative of w(l). Suppose n(x) = 0. Calculate x.
-4, 0
Suppose 12/5*n**3 + 648/5 + 1/10*n**4 + 108/5*n**2 + 432/5*n = 0. What is n?
-6
Let t = -11/115 + 16/23. Suppose 0*b + t*b**2 + 0 = 0. Calculate b.
0
Let b(r) be the second derivative of 5*r**7/42 - 7*r**6/6 + 15*r**5/4 - 65*r**4/12 + 10*r**3/3 - 15*r. Suppose b(w) = 0. Calculate w.
0, 1, 4
Let u(b) be the first derivative of -b**6/720 - b**5/240 + b**4/24 + 5*b**3/3 + 1. Let l(z) be the third derivative of u(z). Factor l(p).
-(p - 1)*(p + 2)/2
Let l be 3 + (-5228)/936 + 3. Let h = l + -5/26. Solve h*s**2 - 2/9 - 2/9*s**3 + 2/9*s = 0 for s.
-1, 1
Let c(j) be the third derivative of -j**5/60 + j**4/3 - 8*j**3/3 + 29*j**2. Factor c(x).
-(x - 4)**2
Let o = 22 + -14. Let z = o - 22/3. Factor -2/3*j**3 - 2/3*j**2 + z*j**4 + 2/3*j + 0.
2*j*(j - 1)**2*(j + 1)/3
Let h(z) = -17*z**3 + 7*z + 12. Let q(c) = -6*c**3 + 2*c + 4. Let j(p) = -4*h(p) + 11*q(p). Find s, given that j(s) = 0.
-1, 2
Let y be 35/(-7)*64/(-50). Factor 16*v**3 - 2/5 - 66/5*v**2 + 4*v - y*v**4.
-2*(v - 1)**2*(4*v - 1)**2/5
Let h(o) = o**2 - 2. Let m be h(-2). Let g = 2 + m. Find w, given that 2*w**2 - 3*w**g - 8*w**4 + 5