2/7*p - 8/7*p**3 = 0.
-1, -1/4, 0
Let f(d) be the second derivative of 5*d**7/77 + 17*d**6/55 + 3*d**5/10 - 13*d**4/22 - 16*d**3/11 - 12*d**2/11 - 18*d. Let f(o) = 0. What is o?
-2, -1, -2/5, 1
Let i(x) = -2*x**3 + 5*x**2 - 11*x - 3. Let o(t) = 6*t**3 - 14*t**2 + 34*t + 10. Let b(l) = 10*i(l) + 3*o(l). Suppose b(s) = 0. What is s?
0, 2
Suppose -5*l + 95 = -a, 3*l = -a - 3*a + 34. Suppose 3*z - 10 - 16 = 5*p, -z - 5*p - l = 0. Factor -u**3 - u**3 + 4*u**3 - z*u**4.
-2*u**3*(u - 1)
Let j = -431 - -3463/8. Suppose -3/2 - 3/8*k**2 - j*k = 0. Calculate k.
-4, -1
Solve 2/11*t**4 + 0*t + 0 + 10/11*t**2 - 12/11*t**3 = 0 for t.
0, 1, 5
Let k(m) = 8 - 3*m - 2 - m**2 - 8. Let n(t) = t**2 + 3*t + 2. Let s(w) = -4*k(w) - 5*n(w). Let s(l) = 0. Calculate l.
-2, -1
Let i(l) be the first derivative of 0*l - 1/12*l**3 - 1 + 0*l**2 + 1/16*l**4. Factor i(j).
j**2*(j - 1)/4
Let v(a) = a + 2. Let b be v(3). Factor 0 + 5 - b*i + i**4 + i**3 - 7 - 3*i**2.
(i - 2)*(i + 1)**3
Suppose 11*p + 4*p = 0. What is g in 3/4*g**4 + p*g**2 + 0*g + 3/4*g**3 + 0 = 0?
-1, 0
Let x(q) be the third derivative of q**9/1512 - q**7/105 - q**6/90 + q**5/20 + q**4/6 - q**3/2 - q**2. Let n(h) be the first derivative of x(h). Factor n(w).
2*(w - 2)*(w - 1)*(w + 1)**3
Let f be (24/(-80))/(6/205). Let o = -10 - f. Factor o*s**3 + 1/4 + 3/4*s + 3/4*s**2.
(s + 1)**3/4
Let h(r) = 12*r**4 + 12*r**3 - 4*r**2 - 12*r. Let i(f) = f**3 - f - 1. Let c(n) = h(n) + 8*i(n). Find k such that c(k) = 0.
-1, -2/3, 1
Solve -40*u**4 + 72*u**4 - 38*u**4 + 27*u**3 - 15*u - 9*u**5 + 3*u = 0 for u.
-2, -2/3, 0, 1
Let g be 58/18 + (-8)/36. Factor 4*z**g + z**4 - z**3 + 2*z**4.
3*z**3*(z + 1)
Find g, given that -8*g - 49*g**4 - 42*g**3 - 48*g**2 + 58*g**4 + 58*g**4 + 31*g**4 = 0.
-2/7, 0, 1
Let v(q) be the first derivative of -2*q**3/3 - 3*q**2 - 4*q + 3. Suppose v(w) = 0. Calculate w.
-2, -1
Let s be (1 - -8)*2/9. Let -8*x**3 + 4*x**4 - x + x**2 - 5*x**s + 9*x**3 = 0. Calculate x.
-1, -1/4, 0, 1
Let i(z) be the first derivative of z**5/25 - 3*z**4/5 + 7*z**3/3 + 6*z**2/5 - 36*z/5 - 15. Solve i(t) = 0.
-1, 1, 6
Let b(j) = 14*j**3 - 18*j**2 + 10*j - 6. Let v(x) = -42*x**3 + 54*x**2 - 29*x + 17. Let w = 11 + -17. Let a(h) = w*v(h) - 17*b(h). Factor a(y).
2*y*(y - 1)*(7*y - 2)
Let l(o) = 5*o - 37. Let j be l(8). Let d(r) be the second derivative of 0*r**2 + 1/6*r**4 + 0*r**5 + 3*r + 0*r**j + 0 - 1/15*r**6. Find p such that d(p) = 0.
-1, 0, 1
Let z(y) be the second derivative of -6*y + 1/6*y**3 + 0 - 1/12*y**4 + 0*y**2. What is b in z(b) = 0?
0, 1
Let d(h) be the second derivative of 2*h**6 + 4*h**5/5 - 4*h**4/3 + 14*h. Factor d(j).
4*j**2*(3*j + 2)*(5*j - 2)
Let s(t) be the second derivative of -t**5/110 - t**4/22 - t**3/11 - t**2/11 - 14*t. Factor s(l).
-2*(l + 1)**3/11
Let c(o) be the second derivative of -o**4/16 - o**3/4 - 3*o**2/8 + 20*o. Determine j, given that c(j) = 0.
-1
Let g(p) be the first derivative of -p**8/12600 - p**7/2100 - p**6/900 - p**5/900 + p**3/3 + 5. Let r(b) be the third derivative of g(b). Factor r(m).
-2*m*(m + 1)**3/15
Suppose j - 5*j + 52 = -5*u, 4*j - 28 = -u. Suppose 4*w - 2 = -5*c - 0, j = -4*w. Factor -4*a**3 - 2*a + 0*a - 5*a**c + a**3.
-a*(a + 1)*(3*a + 2)
Suppose x - 4*i + 16 = 2, 5*x + 4*i - 26 = 0. Find c, given that x*c**4 + 7*c**3 - 3*c**3 - 1 + 2 - 3 - 4*c = 0.
-1, 1
Let x(p) = 2*p**2 + p. Let b be x(1). Suppose u + 1 = b. What is c in 3*c**3 - c**3 + c**2 - c**4 - u*c**2 = 0?
0, 1
Let v(b) be the second derivative of b**7/70 + b**6/20 + b**5/20 + b**2/2 - 3*b. Let i(t) be the first derivative of v(t). Determine h so that i(h) = 0.
-1, 0
Let d be 1/(3/(-123)*1). Let t = 124/3 + d. Let 0*q + 1/3*q**4 + 0 + 0*q**3 - t*q**2 = 0. Calculate q.
-1, 0, 1
Let m(q) be the first derivative of 3*q**4/4 - 2*q**3 - 3*q**2/2 + 6*q + 3. Factor m(b).
3*(b - 2)*(b - 1)*(b + 1)
Let p(l) be the second derivative of -1/48*l**4 + 2*l - 1/24*l**3 + 0*l**2 + 0. Find r, given that p(r) = 0.
-1, 0
Let d(p) = 4*p. Let k be d(-2). Let s be 39/(-65)*k/6. Factor s*q**2 + 0 - 2/5*q**3 + 0*q.
-2*q**2*(q - 2)/5
Let v(n) be the first derivative of -2*n**3/3 - 2*n**2 - 2*n - 8. Find h, given that v(h) = 0.
-1
Suppose 6/5*d - 9/5*d**2 + 0 + 3/5*d**3 = 0. What is d?
0, 1, 2
Let z(t) = -t**3 - 3*t**2 - 4*t - 1. Let u be z(-3). Let o = u - 7. Factor 0*y - 1/4*y**2 + 0 + 1/4*y**o - 1/4*y**5 + 1/4*y**3.
-y**2*(y - 1)**2*(y + 1)/4
Let p(m) be the first derivative of -4*m**3/3 + 6*m**2 - 8*m + 4. Factor p(h).
-4*(h - 2)*(h - 1)
Suppose 0 = -5*f + 3*f + b + 7, -3*f - 3*b = -15. Let u(m) be the first derivative of -1/6*m**3 + 0*m - 1/16*m**f + 3 - 1/8*m**2. Factor u(d).
-d*(d + 1)**2/4
Let b(r) be the second derivative of -2*r**2 - 1/6*r**4 + r**3 + 0 - 2*r. Let b(k) = 0. Calculate k.
1, 2
Let g = 116 - 114. Let -1/2*m**g - 3/2 + 2*m = 0. Calculate m.
1, 3
Let w(x) be the second derivative of x**4/8 + 3*x**3/4 + 3*x**2/2 + 3*x. Suppose w(y) = 0. Calculate y.
-2, -1
Factor -1944/5*s**4 - 1458/5*s**5 - 184/5*s + 16/5 + 556/5*s**2 + 54*s**3.
-2*(s + 1)**2*(9*s - 2)**3/5
Suppose -2*h + 4*i = -4*h, 5*i = -5*h + 10. Let v be (-40)/(-42) + 2/(-7). Find g such that -v + 4/3*g**2 - 2/3*g**h + 0*g + 0*g**3 = 0.
-1, 1
Let d(r) = -4*r**4 - 6*r**3 - 22*r**2 + 6*r + 14. Let y(s) = -5*s**4 - 5*s**3 - 23*s**2 + 5*s + 14. Let a(j) = -7*d(j) + 6*y(j). Factor a(g).
-2*(g - 7)*(g - 1)*(g + 1)**2
Let u(t) = 3*t**2 + 15*t + 6. Let g(k) = -8*k**2 - 44*k - 19. Let n(l) = -6*g(l) - 17*u(l). Suppose n(f) = 0. Calculate f.
-1, 4
Let b be (-180)/(-48)*4/3. Let o = b + -14/3. Factor -o*n**2 + 0 + 0*n - 2/3*n**3.
-n**2*(2*n + 1)/3
Suppose 2*a - 24 = x, 2*x - 7 = -a + 5*x. Let u = -9 + a. Factor -u*m**2 + 0 + 3 + m**3 + 5*m - 2 - 3.
(m - 2)*(m - 1)**2
Factor 6*x**3 - 2*x**3 + 3*x**3 - 6*x**3 - x**4.
-x**3*(x - 1)
Let y(k) = k**2 + 3*k - 6. Let l(g) = -2*g**2 - 7*g + 13. Suppose -p - 19 = -6. Let v(u) = p*y(u) - 6*l(u). Solve v(j) = 0 for j.
0, 3
Suppose 0 = 2*o - 7*o. Factor 3*p**2 - 2*p**2 + o*p**2 - 3*p.
p*(p - 3)
Let m = -1/178 + 1427/534. Factor -m*g + 9*g**4 - 1/3 - 6*g**2 + 0*g**3.
(g - 1)*(3*g + 1)**3/3
Let d(j) be the second derivative of 1/10*j**2 - 3*j - 1/15*j**4 - 1/10*j**3 + 0. Suppose d(r) = 0. Calculate r.
-1, 1/4
Let s(w) be the third derivative of -4*w**2 + 0*w**5 + 0*w + 1/180*w**6 + 1/315*w**7 + 0*w**4 + 0 + 0*w**3. Factor s(m).
2*m**3*(m + 1)/3
Find f, given that -4/9*f**3 + 2/9*f**5 - 4/9*f**4 + 2/9*f + 8/9*f**2 - 4/9 = 0.
-1, 1, 2
Let o(y) = -y**3 - 5*y**2 - 5*y - 1. Let b be o(-4). Find z such that -2/5 - 6/5*z**2 - 2/5*z**b - 6/5*z = 0.
-1
What is h in 9/8*h**2 + 7/8*h - 1/4 = 0?
-1, 2/9
Let l(g) be the first derivative of -2*g**3/3 + 4*g**2 - 8*g + 16. Find j, given that l(j) = 0.
2
Let b(c) = 3*c**3 - 23*c**2 - 19*c + 7. Let o(x) = 2*x**3 - 12*x**2 - 10*x + 4. Let t(z) = -4*b(z) + 7*o(z). Let t(h) = 0. What is h?
-3, -1, 0
Suppose -52*l = -63*l. Factor 0*b + l - 14/9*b**3 - 4/9*b**2.
-2*b**2*(7*b + 2)/9
Let t be (7/(-14))/(22/(-20)). Let q = t - 9/44. Suppose 0 - 1/4*z - q*z**2 = 0. What is z?
-1, 0
Suppose -4*t + 6 + 2 = 0. Suppose 2*q - 6 - t = 0. Find h, given that q*h**2 - h**4 - 2 + 0*h**3 - 2*h**5 + 4*h**3 - h**4 - 2*h = 0.
-1, 1
Suppose 4*f + f + 42 = 4*g, 2*f = -4*g. Let i be (-21)/f - 3/6. Suppose 3*r**i + r**3 - 2*r - 4*r**3 + 2*r**3 = 0. Calculate r.
-1, 0, 1
Let m(s) = s**3 - 9*s**2 - 11*s + 12. Let x(n) = -10*n**3 - n**2 - 2*n - 1. Let h be x(-1). Let k be m(h). Factor 1/3 + 4/3*v + k*v**2 + 1/3*v**4 + 4/3*v**3.
(v + 1)**4/3
Factor 0*i**3 + 0 + 6/11*i**2 - 4/11*i - 2/11*i**4.
-2*i*(i - 1)**2*(i + 2)/11
Let g(h) = h**2 - 11*h + 15. Let w be g(6). Let u be 13 + w - (-13)/5. Determine o, given that 9*o**2 - 48/5*o**4 + 24/5*o - 24/5*o**3 + u = 0.
-1, -1/4, 1
Let i = 7 + -5. Let m = -5 - -10. Factor -2*u**m - i*u**3 - 4*u**4 + 13*u**2 - 13*u**2.
-2*u**3*(u + 1)**2
Let h(n) be the first derivative of n**4 + 8*n**3 + 18*n**2 + 16*n + 6. Let h(r) = 0. What is r?
-4, -1
Let d = 503 + -501. Factor -1/2*m**3 - 1/2*m**d + 0*m + 0.
-m**2*(m + 1)/2
Let p = 1 - 1. Let b(d) = -d**3 + 30*d**2 + d - 28. Let j be b(30). Factor 7/2*w**4 + w**j + 9/2*w**3 + 0 + p*w.
w**2*(w + 1)*(7*w + 2)/2
Factor -944 + 472 + 472 + 2*i - 2*i**2.
-2*i*(i - 1)
Let w(a) be the second derivative of 9*a**5/80 + 11*a**4/16 + a**3 - 3*a**2/2 + a. Factor