 + 5/3*h**3 - 2/3 = 0. What is h?
1, 2
Let b be (2/(-6))/(2/(-6)). Suppose -o - 5 = -2*y - 6*o, 0 = -3*y - 2*o + 2. Factor y*m + 0*m**2 + m**3 - b - m + m**2.
(m - 1)*(m + 1)**2
Suppose -d - 1 = 2. Let o = 5 + d. Factor -f**3 + 3*f**o + 3*f**3 + 2*f - 7*f**2.
2*f*(f - 1)**2
Let a be (-30)/36 + (-4)/(-3). Let a + 5/4*f**3 - 2*f**2 + 1/4*f = 0. What is f?
-2/5, 1
Let j be (-6)/140*(-2)/3. Let n = j - -9/35. What is r in -n + 2/7*r**2 - 2/7*r**3 + 2/7*r = 0?
-1, 1
Let h(b) be the second derivative of -b**6/6 + b**5/2 + 43*b. Suppose h(w) = 0. What is w?
0, 2
Let q(l) be the third derivative of l**5/60 + l**4/36 - 4*l**2. Factor q(m).
m*(3*m + 2)/3
Let b(l) be the second derivative of -5*l**4/6 - 2*l**2 - l. Let g be 0/(-10) - (-1 - 3). Let u(t) = 3*t**2 + 1. Let d(m) = g*b(m) + 14*u(m). Factor d(s).
2*(s - 1)*(s + 1)
Let p be (-4)/(-10) - (-4 + 436/140). Factor -3/7*a**4 + p*a**2 + 15/7*a + 6/7 - 3/7*a**3.
-3*(a - 2)*(a + 1)**3/7
Let r = 8 - 4. Factor 0*a**2 + 2*a**2 + 2 - r.
2*(a - 1)*(a + 1)
Let y be 26/16*2 + -3. Let h(v) be the first derivative of -3/8*v**4 + 2 - 1/5*v**5 + 0*v + 0*v**3 + y*v**2. Factor h(o).
-o*(o + 1)**2*(2*o - 1)/2
Suppose 4*q = 8*q. Let x(n) be the first derivative of 4 + 0*n + q*n**2 + 2/3*n**4 + 1/27*n**6 + 16/27*n**3 + 4/15*n**5. Factor x(w).
2*w**2*(w + 2)**3/9
Solve -r + 1/2*r**2 + 0 = 0.
0, 2
Let g(x) = x**2 + 4*x + 4. Let i be g(-4). Factor -4*q**4 + q**4 - 9*q**2 - 3*q - i*q**3 - 5*q**3.
-3*q*(q + 1)**3
Suppose -2*o - 2*o = -64. Let f be (o/(-10))/(15/(-50)). Determine w so that -f + 160/3*w - 568/3*w**2 - 147*w**4 + 280*w**3 = 0.
2/7, 2/3
Let t be -34 + (4 - (2 - -1)). Let m(u) = 16*u**3 + 6*u**2 - 5*u + 16. Let b(g) = -3*g**3 - g**2 + g - 3. Let q(l) = t*b(l) - 6*m(l). Factor q(h).
3*(h - 1)**2*(h + 1)
Let n(c) be the second derivative of c**7/210 + c**6/360 - c**5/60 - c**4/72 + c**2/2 + 2*c. Let d(z) be the first derivative of n(z). Factor d(f).
f*(f - 1)*(f + 1)*(3*f + 1)/3
Let t(a) = a**3 - a**2 + a. Let g(v) = -2*v**3 + 18*v**2 + 2*v. Let k(h) = -g(h) - 6*t(h). Suppose k(u) = 0. Calculate u.
-2, -1, 0
Let y(x) = x**2 + x - 1. Let b(k) = 2*k**3 + 20*k**2 + 92*k + 132. Let f(z) = -b(z) - 4*y(z). Factor f(r).
-2*(r + 4)**3
Let a(j) be the third derivative of -j**5/15 + j**4/3 + 2*j**3 - 41*j**2. Factor a(x).
-4*(x - 3)*(x + 1)
Let n(l) be the second derivative of 1/24*l**3 - 1/32*l**4 - l**2 + 2*l - 1/480*l**6 + 0 + 1/80*l**5. Let w(m) be the first derivative of n(m). Factor w(d).
-(d - 1)**3/4
Let l(o) = -2*o**3 - 2*o**2 + 2*o. Let g be l(-2). Let z(n) be the third derivative of 1/24*n**g + 0*n + 1/12*n**3 + 2*n**2 + 0 + 1/120*n**5. Factor z(y).
(y + 1)**2/2
Suppose 5*s + 0 = 10. Factor 10/3*t**s + 16/3*t + 8/3 + 2/3*t**3.
2*(t + 1)*(t + 2)**2/3
Let z(p) be the third derivative of -p**8/672 - p**7/420 + p**6/240 + p**5/120 + p**2. Suppose z(c) = 0. What is c?
-1, 0, 1
Let d(a) = a + 6. Let m be d(-6). Let f be m - (1 + -1)/(-1). Factor 1/4 + 1/4*i**4 - 1/2*i**2 + f*i**3 + 0*i.
(i - 1)**2*(i + 1)**2/4
Let i(p) = 3*p**2 - 43*p - 32. Let u(c) = 2*c**2 - 22*c - 16. Let q(k) = 6*i(k) - 11*u(k). Let q(o) = 0. What is o?
-2
Let m(j) = -4*j**4 + 4*j**3 - 4*j + 4. Let c(v) = 5*v**4 - 5*v**3 - v**2 + 5*v - 4. Let b(w) = -6*c(w) - 7*m(w). Factor b(k).
-2*(k - 2)*(k - 1)*(k + 1)**2
Let p(u) be the third derivative of -u**10/75600 + u**9/37800 + u**4/8 - 4*u**2. Let h(k) be the second derivative of p(k). Let h(q) = 0. What is q?
0, 1
Suppose 8*s = 10*s - y - 5, 5*y = 3*s - 25. Suppose s - 2/3*a**3 + 0*a + 0*a**2 = 0. What is a?
0
Let h = 17 - 10. Find k such that -h*k**2 + 3*k**2 - 4*k + k**2 - 9 + 16*k = 0.
1, 3
Let f(a) be the third derivative of a**7/210 - a**6/60 + a**4/12 - a**3/6 + 7*a**2. Factor f(z).
(z - 1)**3*(z + 1)
Let p(s) be the second derivative of -s**4/21 - 8*s**3/21 - 6*s**2/7 - 33*s. Factor p(z).
-4*(z + 1)*(z + 3)/7
Let x(c) be the second derivative of c**8/10080 + c**7/2835 + c**6/3240 - c**4/3 + 2*c. Let m(r) be the third derivative of x(r). Factor m(j).
2*j*(j + 1)*(3*j + 1)/9
Factor -5*r**2 - 6*r**2 - 12 + 36*r - 6*r**2 - 10*r**2.
-3*(3*r - 2)**2
Factor 3/2*t**5 - 9/2*t**3 + 6*t + 6*t**2 - 3*t**4 + 0.
3*t*(t - 2)**2*(t + 1)**2/2
Let h(l) = 3*l**2 - 3*l - 6. Let z(f) = 5*f**2 - 6*f - 11. Let y(m) = -m**3 - 6*m**2 + m - 5. Let c be y(-6). Let d(u) = c*h(u) + 6*z(u). Factor d(i).
-3*i*(i + 1)
Factor 12/7*o**2 + 18/7*o + 0 + 2/7*o**3.
2*o*(o + 3)**2/7
Let c(g) be the third derivative of g**8/336 - g**6/20 + 2*g**5/15 - g**4/8 - g**2. Factor c(j).
j*(j - 1)**3*(j + 3)
Let t(b) be the first derivative of -b**6/1260 - b**5/210 - b**3 + 2. Let y(i) be the third derivative of t(i). Solve y(s) = 0 for s.
-2, 0
Let t(o) = -o**4 + o**3 - o**2 - o. Let d(w) = w**4 - w**3 + w. Let q(j) = -2*d(j) - t(j). Factor q(y).
-y*(y - 1)**2*(y + 1)
Let g(z) = -z**4 - z**2 + z. Let h = -8 + -4. Let q(j) = -21*j**4 - 21*j**3 - 12*j**2 + 24*j. Let t(r) = h*g(r) + q(r). Determine k, given that t(k) = 0.
-2, -1, 0, 2/3
Let i be (-68)/12 - -1 - -5. Factor -i*l**2 + 0*l + 0.
-l**2/3
Suppose -5 = 5*b - 15. Suppose 0*h - b*h = 0. Find t, given that 0*t**2 + h - 1/4*t**3 + 1/4*t = 0.
-1, 0, 1
Let l(t) be the first derivative of -2*t**3/27 - 4*t**2/9 - 8*t/9 + 6. Factor l(r).
-2*(r + 2)**2/9
Let i(h) be the third derivative of -h**4/24 - h**3/3 + 3*h**2. Let v be i(-2). Solve v - 6/5*x**4 - 6/5*x**2 - 4/5*x + 16/5*x**3 = 0 for x.
-1/3, 0, 1, 2
Let x(g) = g**2 + 5*g - 2. Let m be x(-6). Let n = -2 + m. Factor -2*j - 4*j**2 - j + j**n.
-3*j*(j + 1)
Let n(c) be the second derivative of c**4/6 - 14*c**3/3 + 49*c**2 + 11*c. What is g in n(g) = 0?
7
Let z(v) be the first derivative of 64*v**6/21 - 32*v**5/35 - 18*v**4/7 - 22*v**3/21 - v**2/7 + 8. Factor z(f).
2*f*(f - 1)*(4*f + 1)**3/7
Suppose 2*l = 6*l - 20. Suppose m = -l*z, -10 = m + m. Factor -z + 5*q**3 + q**4 - 2*q**3 - q**3 - 2*q.
(q - 1)*(q + 1)**3
Let u(w) be the third derivative of 0*w**3 - 8*w**2 - 1/84*w**4 + 0 + 0*w + 1/105*w**5 - 1/420*w**6. Factor u(o).
-2*o*(o - 1)**2/7
Let z(o) = -o**2 + o + 1. Let n be z(4). Let w = n + 23/2. Let -20*k**4 - 93/4*k**2 - w - 23/4*k - 38*k**3 = 0. Calculate k.
-1, -2/5, -1/4
Let m(n) be the first derivative of 1/2*n**4 - 2/11*n + 1/11*n**2 - 1 + 8/55*n**5 + 6/11*n**3. Suppose m(o) = 0. What is o?
-1, 1/4
Let t(w) be the first derivative of -5/12*w**4 + 0*w + 2 - 2/3*w**2 + 16/9*w**3 - 5/3*w**5. Factor t(j).
-j*(j + 1)*(5*j - 2)**2/3
Solve 0 - 5/3*r**3 + 3*r + 1/3*r**4 + r**2 = 0.
-1, 0, 3
Let x(d) be the first derivative of d**3 - 3*d**2 - 3. Factor x(y).
3*y*(y - 2)
Suppose 8*d**2 - 7*d**2 - 4*d**2 = 0. Calculate d.
0
Let h(v) = v**2 + 13*v + 26. Let s be h(-2). Find z, given that 0 - 14/3*z**s + 0*z + 0*z**2 + 4/3*z**3 = 0.
0, 2/7
Factor 13/4*g**4 + 1/4 + 3/4*g**5 + 11/2*g**3 + 9/2*g**2 + 7/4*g.
(g + 1)**4*(3*g + 1)/4
Factor -4/3*x + 0 + 2/3*x**2.
2*x*(x - 2)/3
Let z(n) be the first derivative of -1/6*n**3 + 1/60*n**5 - 2*n**2 + 0*n + 2 - 1/16*n**4. Let b(l) be the second derivative of z(l). Factor b(c).
(c - 2)*(2*c + 1)/2
Let o(z) be the third derivative of -z**8/210 + z**7/315 - z**6/1620 - 2*z**3/3 - 5*z**2. Let g(c) be the first derivative of o(c). Suppose g(p) = 0. What is p?
0, 1/6
Let y(z) = -z + 13. Let h be y(9). Factor 3 - h*l + 8*l**3 + 1 - 2*l - 6*l**3.
2*(l - 1)**2*(l + 2)
Let s = -50141/20 + 2508. Let p(k) be the second derivative of -1/42*k**7 + 0 + 2*k**2 + k - s*k**5 + 25/12*k**4 - 8/3*k**3 + 7/30*k**6. Factor p(m).
-(m - 2)**2*(m - 1)**3
Solve 2/3*h**3 + 2/3*h**2 - 2/3*h - 2/3 = 0 for h.
-1, 1
Let x(t) be the second derivative of -t**7/28 + t**6/5 - 9*t**5/20 + t**4/2 - t**3/4 - 2*t. Suppose x(m) = 0. Calculate m.
0, 1
Suppose 38*z - 83*z + 2*z**2 - 30 + 41*z = 0. What is z?
-3, 5
Suppose 0*f**4 - 20/13*f**3 - 8/13 - 30/13*f - 40/13*f**2 + 2/13*f**5 = 0. What is f?
-1, 4
Factor 2/9*w + 0 - 2/9*w**3 + 2/9*w**4 - 2/9*w**2.
2*w*(w - 1)**2*(w + 1)/9
Suppose -4*m - 4 = 4*a, 2 = 5*m - 34*a + 32*a. Let k = 232/763 - 2/109. Factor 4/7*w + m + k*w**2.
2*w*(w + 2)/7
Let o = 17/31 - 3/62. Let 2*i**3 + o*i**2 + 0 + 0*i - 2*i**5 - 1/2*i**4 = 0. What is i?
-1, -1/4, 0, 1
Let s = 9 + -4. Factor 0*n**5 - s*n**3 - n**5 - 17*n**2 + 15*n**2 - 4*n**4.
-n**2*(n + 1)**2*(n + 2)
Let o(j) be the first derivative of -242*j**3/15 + 44*j**2/5