ative of o(a). Factor y(w).
-2*w**2*(w - 1)**2*(w + 1)/11
Let h(o) be the second derivative of 1/2*o**4 + 9/20*o**5 + 0*o**2 + 4*o + 0 + 1/10*o**6 + 0*o**3. Solve h(n) = 0.
-2, -1, 0
Let g be (-128)/(-6)*(-4 + (-245)/(-60)). Factor -2/9*k**2 - 32/9 - g*k.
-2*(k + 4)**2/9
Let k(t) be the second derivative of t**7/840 - t**5/120 - t**3/2 - 2*t. Let u(o) be the second derivative of k(o). Factor u(n).
n*(n - 1)*(n + 1)
Let i(u) = -u**2 + 1. Suppose -2*c - 3 = -5. Let d(q) = -q**2 - 6*q + 7. Let l(t) = c*d(t) - 3*i(t). Factor l(f).
2*(f - 2)*(f - 1)
Let f(r) = -3*r - 9. Let g be f(-3). Let i(j) be the second derivative of -21/80*j**5 + 5*j + 0 + g*j**3 - 1/10*j**6 + 1/8*j**4 + 0*j**2. Factor i(c).
-3*c**2*(c + 2)*(4*c - 1)/4
Let f(z) be the first derivative of 3*z + 3 + 1/2*z**4 + z**2 - 1/10*z**5 - z**3. Let w(u) be the first derivative of f(u). Factor w(c).
-2*(c - 1)**3
Let y(r) be the second derivative of -r**5/60 - r**4/18 - r**3/18 + 7*r. Let y(u) = 0. Calculate u.
-1, 0
Let l be (16/(-20))/(-3*(-6)/(-135)). Let c(s) be the second derivative of -3*s + 1/40*s**5 + 1/60*s**l + 0*s**2 - 1/24*s**4 - 1/12*s**3 + 0. Factor c(f).
f*(f - 1)*(f + 1)**2/2
Let i be 1/(-2)*(-96)/120. Find q, given that 0 - 4/5*q + i*q**2 = 0.
0, 2
Let 0*o + 0 + 0*o**2 + 3/5*o**5 + 3/5*o**3 - 6/5*o**4 = 0. What is o?
0, 1
Let f(k) be the second derivative of -k**6/240 - k**5/20 - k**4/6 - 13*k. Suppose f(g) = 0. Calculate g.
-4, 0
Suppose -w + 69 = -2*t, 3*t = 2*w + 2*t - 132. Let p be w/36 - (-2)/(-8). Determine m, given that 2/9 + 8/3*m**2 + p*m = 0.
-1/3, -1/4
Factor 11*b**4 + 14*b**2 + 2*b - 20*b**2 - 3*b**4.
2*b*(b + 1)*(2*b - 1)**2
Let j = 8 + -6. Suppose -d - 5 = -9. Factor a**4 - 2*a + a**3 - 3*a**d - a**j + 3*a**4 + a.
a*(a - 1)*(a + 1)**2
Let z(l) be the third derivative of 0*l**4 + 1/450*l**6 + 0 + 0*l + 1/1575*l**7 + 1/450*l**5 - 3*l**2 + 0*l**3. Factor z(r).
2*r**2*(r + 1)**2/15
Let i(r) = -r**2 + 25*r + 56. Let u be i(27). Factor 1/4*g**u + 1/2*g + 1/4.
(g + 1)**2/4
Let r(v) = -v**3 - 3*v**2 - 2*v. Let k be r(-1). Let l(x) be the third derivative of x**2 + k + 0*x + 0*x**3 - 1/36*x**4 + 1/90*x**5. Let l(p) = 0. What is p?
0, 1
Let i(h) = 245*h**5 - 1085*h**4 + 1277*h**3 + 43*h**2 - 397*h - 83. Let f(t) = t**3 - t**2 - t + 1. Let w(g) = -3*f(g) - i(g). Suppose w(j) = 0. Calculate j.
-2/7, 1, 2
Let q(s) = -2*s**3 + 1 + s**3 + 0*s**3 + s**2. Let y(t) = 3*t**4 + 3*t**2 - 6*t + 6. Let z(i) = 6*q(i) - y(i). What is p in z(p) = 0?
-2, -1, 0, 1
Let f(a) = -2*a**5 - a**4 - 17*a**3 - 4*a**2. Let r(h) = -h**4 + h**3. Let c(g) = 2*f(g) + 14*r(g). Factor c(y).
-4*y**2*(y + 1)**2*(y + 2)
Let y(x) be the third derivative of x**7/1680 - x**6/160 + x**5/40 - x**4/8 + 4*x**2. Let p(g) be the second derivative of y(g). Factor p(t).
3*(t - 2)*(t - 1)/2
Find b such that -2*b**4 + 2*b**3 - b**5 + b - 2*b + 4*b**2 - 2 + 0*b = 0.
-2, -1, 1
Let j(y) be the first derivative of 7*y**4/4 - 40*y**3/3 - 6*y**2 - 35. What is u in j(u) = 0?
-2/7, 0, 6
Determine i, given that -2/11*i**4 + 0 + 0*i + 2/11*i**2 + 2/11*i**3 - 2/11*i**5 = 0.
-1, 0, 1
Let u = -1/385 - -156313/1155. Let f = u - 134. What is m in -16/3*m**4 + 20/3*m**2 + 2/3*m - f + 8/3*m**3 - 10/3*m**5 = 0?
-1, 2/5, 1
Let r(x) be the first derivative of -3 + 0*x + 2/15*x**5 + 1/2*x**4 + 2/3*x**3 + 1/3*x**2. Factor r(s).
2*s*(s + 1)**3/3
Let v be (-1)/18*(-15)/10. Let h(k) be the second derivative of -1/8*k**4 + k - v*k**3 + 0*k**2 - 3/40*k**5 + 0 - 1/60*k**6. Let h(a) = 0. Calculate a.
-1, 0
Let k(b) be the first derivative of -5*b**4/4 + 5*b**2/2 + 11. Find d such that k(d) = 0.
-1, 0, 1
Let a(j) be the third derivative of 1/210*j**5 + 0 - 1/21*j**3 + 1/84*j**4 + 4*j**2 - 1/420*j**6 + 0*j. Solve a(w) = 0.
-1, 1
Suppose -p - 3*x = -14, p + 3*x - 6 = 2*x. Let i(y) be the first derivative of 0*y + p - 1/2*y**2 + 1/3*y**3. Factor i(r).
r*(r - 1)
Let j(v) = -5*v**3 + v**2 - 3*v. Let a(g) be the second derivative of g**5/5 - g**4/6 + g**3/3 - 4*g. Let d(r) = -3*a(r) - 2*j(r). Factor d(u).
-2*u**2*(u - 2)
Let j(i) be the second derivative of 0 - 7*i - 56/45*i**6 - 23/36*i**4 + 0*i**2 + 1/9*i**3 + 22/15*i**5. Factor j(l).
-l*(4*l - 1)**2*(7*l - 2)/3
Suppose j = -2*j. Suppose j*p + 10 = 5*p. Let -3*g**5 - 6*g**4 + p*g**4 + g**3 + g**2 + g**2 = 0. Calculate g.
-1, 0, 2/3
Let v = 5 + 8. Factor -w**2 - v + 13 + w.
-w*(w - 1)
Suppose -5*t + i = -0*i - 16, 0 = 2*t - 2*i. Find j, given that -64*j**3 + 17 - 28 - t*j + 11 + 32*j**2 = 0.
0, 1/4
Let t be (-5)/(-2)*60/525. Solve -12/7*q**3 + 16/7*q**4 + 0 - 6/7*q**5 + 0*q**2 + t*q = 0.
-1/3, 0, 1
Find d such that -9*d**2 + 1 + 14 + 10*d - 7*d**2 + 11*d**2 = 0.
-1, 3
Let k(m) = 4*m**4 - 19*m**3 + m**2 - 7*m. Let w(c) = 2*c**4 - 9*c**3 + c**2 - 3*c. Let h(x) = -3*k(x) + 7*w(x). Factor h(d).
2*d**2*(d - 2)*(d - 1)
Let k be (6/27*-6)/(28/(-18)). Factor k*j**3 - 2/7*j**4 + 0 - 6/7*j**2 + 2/7*j.
-2*j*(j - 1)**3/7
Let d(u) be the third derivative of u**8/20160 + u**7/2520 + u**6/720 + u**5/60 + 4*u**2. Let t(s) be the third derivative of d(s). Find o, given that t(o) = 0.
-1
Find t such that 12*t**2 + 3*t**5 - 4*t + 6*t**3 + t - 12*t**4 - 6*t = 0.
-1, 0, 1, 3
Let f(q) = -q**2 - 6*q - 6. Let p be f(-8). Let a be (p/(-55))/((-2)/(-25)). Factor 0*j**2 + 0 + 0*j + 2/3*j**4 - 1/3*j**3 - 1/3*j**a.
-j**3*(j - 1)**2/3
Let y(a) be the third derivative of 0 + 1/144*a**4 + 1/2016*a**8 + 1/1260*a**7 - 3*a**2 - 1/180*a**5 + 0*a - 1/360*a**6 + 1/36*a**3. Solve y(h) = 0 for h.
-1, 1
Let c be 2/30*3/2. Let r(s) be the first derivative of 0*s**4 + 0*s + 1 + c*s**5 - 1/8*s**2 + 1/24*s**6 - 1/6*s**3. Factor r(v).
v*(v - 1)*(v + 1)**3/4
Let l(z) be the second derivative of 9*z**5/140 + 5*z**4/21 + 2*z**3/21 + 4*z. Factor l(t).
t*(t + 2)*(9*t + 2)/7
Let a(z) be the second derivative of -z**6/6 - 3*z**5/4 + 25*z**4/12 + 5*z**3/2 - 10*z**2 + 9*z. Factor a(q).
-5*(q - 1)**2*(q + 1)*(q + 4)
Let q = 1474/13 + -114. Let h = 29/26 + q. Find z such that h + 1/2*z**2 + z = 0.
-1
Let n(d) be the third derivative of -d**4/24 - 4*d**3/3 + 3*d**2. Let a be n(-12). Solve -1/3*l - 1/3*l**5 - 2/3*l**2 + 2/3*l**3 + 1/3*l**a + 1/3 = 0.
-1, 1
Factor 11*y + 13*y - 34 + 4*y**2 + 70.
4*(y + 3)**2
Let g(w) = -7*w**4 + 15*w**2 + 8*w. Let k(u) = -29*u**4 + 60*u**2 + 31*u. Let i(o) = 9*g(o) - 2*k(o). Suppose i(r) = 0. What is r?
-1, 0, 2
Factor c**5 - 2*c**2 - c**3 + 5*c**2 - 6*c**2 - c**4 + 4*c**2.
c**2*(c - 1)**2*(c + 1)
Let n = 769/2 - 383. Factor 1 - n*k**2 - 1/2*k.
-(k + 1)*(3*k - 2)/2
Let j(z) be the first derivative of 6*z**5 - 17*z**4 + 6*z**3 + 10*z**2 + 36. Determine i so that j(i) = 0.
-2/5, 0, 1, 5/3
Let a be 3/10*1/3. Let x(j) be the first derivative of 0*j**3 + 1 - a*j**5 - 1/4*j**4 + 1/2*j**2 + 1/2*j. Factor x(l).
-(l - 1)*(l + 1)**3/2
Let o(s) = 2*s**3 + 2*s - 1. Suppose -5*d + 10*d = -5*k, -2*k - d + 1 = 0. Let a be o(k). Suppose -3*i**3 + 2 - 2*i**2 + i**3 + 0*i + i + i**a = 0. What is i?
-2, -1, 1
Solve -8/13*j**2 + 6/13*j**4 + 0 + 8/13*j - 10/13*j**3 = 0 for j.
-1, 0, 2/3, 2
Let z(m) be the first derivative of m**4/66 - 2*m**3/33 + m**2/11 + 2*m + 4. Let d(j) be the first derivative of z(j). Find u such that d(u) = 0.
1
Let m be 4*3/(-9)*(-3)/6. Determine k, given that -m*k**3 - 2/3 + 2/3*k**2 + 2/3*k = 0.
-1, 1
Let b(o) be the second derivative of -o**7/21 + o**6/15 + o**5/5 - 5*o. Factor b(y).
-2*y**3*(y - 2)*(y + 1)
Let q(u) be the third derivative of u**8/2688 - u**6/960 - 8*u**2. What is r in q(r) = 0?
-1, 0, 1
Suppose -n + 2*f = -7, -2*n + n + 9 = -4*f. Let s = -2 + n. Factor -3 + 3 + 3*m**4 - m**s.
m**3*(3*m - 1)
Let j(s) = -s**3 - 6*s**2 + 7*s. Let h be j(-7). Let v(z) be the first derivative of -1/3*z**6 + z**2 + 4/3*z**3 - 2 - 4/5*z**5 + 0*z + h*z**4. Factor v(q).
-2*q*(q - 1)*(q + 1)**3
Factor 2/3 - 2/3*k**2 - 1/3*k**3 + 1/3*k.
-(k - 1)*(k + 1)*(k + 2)/3
Let b(q) be the second derivative of q**7/3780 - q**6/810 - q**3/3 + 3*q. Let m(r) be the second derivative of b(r). Solve m(z) = 0 for z.
0, 2
Let q(f) be the third derivative of f**8/60480 - f**5/60 - 2*f**2. Let z(m) be the third derivative of q(m). Solve z(a) = 0.
0
Let x = -1631 + 35865/22. Let q = x - -14/11. Factor 1/2*f + 0 - q*f**2.
-f*(f - 1)/2
Let o = 191 + -4774/25. Let r(k) be the second derivative of 1/105*k**7 + 1/5*k**2 + 0 + 1/15*k**4 - 1/5*k**3 + 1/