
3*d*(d + 2)**2*(7*d - 2)/4
Let f(o) be the third derivative of 0 + 0*o - 1/330*o**5 - 1/1155*o**7 - o**2 + 0*o**3 + 1/330*o**6 + 0*o**4. Determine r, given that f(r) = 0.
0, 1
Let n = 773 + -771. Solve 10/3*p**n + 2 - 2/3*p**3 - 14/3*p = 0 for p.
1, 3
Let x be 10/25 - 578/40. Let k = -49/4 - x. Factor -9/5*s - k*s**2 - 3/5*s**3 - 3/5.
-3*(s + 1)**3/5
Let l(f) be the second derivative of -f**5/20 + f**4 - 11*f**3/6 + 2*f**2 - 2*f. Let n be l(11). Factor -2/3*p**3 - 2/3*p**2 + 0 + 0*p + 2/3*p**n + 2/3*p**5.
2*p**2*(p - 1)*(p + 1)**2/3
Let b = 3 + -3. Suppose -y + a + 2 = b, -y - 2*y + 6 = 5*a. Factor -1/2*t**3 + 3/2*t**y - 2 + 0*t.
-(t - 2)**2*(t + 1)/2
Suppose 205*g = 202*g + 6. Determine y so that -3/2*y + 0 - 1/2*y**g = 0.
-3, 0
Find x, given that -3/5*x**2 - 768/5 - 96/5*x = 0.
-16
Let t = -3/38 - -25/76. Factor t*i**2 - 1/4*i**3 + 0 + 0*i.
-i**2*(i - 1)/4
Let x = 21 - 21. Let p(h) be the second derivative of x + 2/15*h**3 + h - 1/30*h**4 - 1/5*h**2. Find v, given that p(v) = 0.
1
Suppose 4*y - 2 = 10. Determine n, given that 2 + n**5 - 2 + y*n**4 - 2*n**4 = 0.
-1, 0
Let x(r) be the second derivative of r - 2/3*r**3 + 1/5*r**5 + 0*r**2 + 1/15*r**6 + 0 - 1/6*r**4. Solve x(d) = 0.
-2, -1, 0, 1
What is p in -2/5*p**2 + 6/5*p - 4/5 = 0?
1, 2
Find q, given that -3*q**3 + 0 + 0*q - 3/5*q**2 = 0.
-1/5, 0
Let j(m) be the third derivative of 0*m + 1/90*m**6 + 1/18*m**4 + 1/630*m**7 - 5*m**2 + 0 + 1/30*m**5 + 1/18*m**3. Solve j(z) = 0.
-1
Let q(l) be the third derivative of -l**5/80 + l**4/96 + l**3/12 - 9*l**2. Find u such that q(u) = 0.
-2/3, 1
Suppose 0 = -k - 2*l - 8, 0*k - 2*k - 2*l - 6 = 0. Factor -z**k - z**2 - 4*z + z**2 - 4.
-(z + 2)**2
Let r(m) be the second derivative of m**5/4 + 5*m**4/6 - 5*m**3/2 - 31*m. Factor r(i).
5*i*(i - 1)*(i + 3)
Suppose 2*b - 16 = -5*u, -u = -5*b + 3*b + 4. Factor 2/7*d**4 + 0*d + 0 + 0*d**b + 0*d**2.
2*d**4/7
Let w = 6/11 + 21/22. Let x(a) be the first derivative of 0*a + 2 + 3/10*a**5 - 9/8*a**4 - 3/4*a**2 + w*a**3. Solve x(f) = 0.
0, 1
Let g be 1/3 - 28/(-45). Let t = g - 5/9. What is o in 2/5*o**4 + t*o**3 + 0*o**2 + 0*o + 0 = 0?
-1, 0
Let c = -18 - -20. Factor 32/7*p**3 + 18/7*p + 48/7*p**c + 2/7.
2*(p + 1)*(4*p + 1)**2/7
Suppose 2*g - 3 = 7. Suppose -5*v - g*a + 2 + 18 = 0, -v - 5*a + 12 = 0. Suppose v*z**4 - 1/4 - 4*z**5 - 7/4*z**2 + 23/4*z**3 - 7/4*z = 0. What is z?
-1, -1/4, 1
Let q(f) be the second derivative of 1/4*f**2 - 1/40*f**5 + 0 - 1/4*f**3 - 4*f + 1/8*f**4. Factor q(c).
-(c - 1)**3/2
Let p be (-1)/(-14)*-1*-12. Find q such that -4/7*q**3 - 2/7 + p*q - 4/7*q**2 - 2/7*q**5 + 6/7*q**4 = 0.
-1, 1
Let x be (48/(-27) - -2)/((-4)/(-6)). Determine d, given that -d**2 + x*d - 1/3*d**4 + 0 + d**3 = 0.
0, 1
Factor 0 + 0*u**2 + 0*u - 9/7*u**5 + 6/7*u**3 - 3/7*u**4.
-3*u**3*(u + 1)*(3*u - 2)/7
Let s(j) be the second derivative of 1/3*j**3 - 1/12*j**4 + 0 - 2*j - 1/2*j**2. Factor s(v).
-(v - 1)**2
Suppose 10*b**2 + 8*b**2 - 6*b**2 + 3*b**3 + 12*b**2 = 0. What is b?
-8, 0
Let s = 32115437/14138810 + -2/201983. Let p = -17/10 + s. Factor -2/7 + p*n - 2/7*n**2.
-2*(n - 1)**2/7
Let o(p) be the second derivative of p**5/5 + p**4/3 - 8*p**3/3 - 8*p**2 - 23*p. Factor o(c).
4*(c - 2)*(c + 1)*(c + 2)
Let u(l) be the first derivative of -l**7/35 - l**6/15 + 2*l**5/15 + 7*l**2/2 + 5. Let j(k) be the second derivative of u(k). Find a such that j(a) = 0.
-2, 0, 2/3
Let f(j) be the third derivative of -j**5/150 - 11*j**4/30 - 121*j**3/15 - 2*j**2 + 4. Solve f(b) = 0.
-11
Let f(z) be the third derivative of -z**8/840 - z**7/336 - z**6/720 - z**3/6 + z**2. Let x(t) be the first derivative of f(t). Let x(d) = 0. What is d?
-1, -1/4, 0
Let r(w) be the first derivative of -w**4/15 + 2*w**3/5 - 9*w**2/10 + 2*w - 2. Let i(q) be the first derivative of r(q). Let i(x) = 0. What is x?
3/2
Factor 0 - 1/2*b**2 + 0*b - 1/2*b**3.
-b**2*(b + 1)/2
Factor 2/7*j**2 - 2/7*j**3 + 10/7*j + 6/7.
-2*(j - 3)*(j + 1)**2/7
Let j(g) = 2*g**2 + 9*g + 10. Let t be j(-1). Factor 8/11*h**t + 2/11*h**4 + 12/11*h**2 + 2/11 + 8/11*h.
2*(h + 1)**4/11
Let g = 31 - 27. Let u = 2 + 0. Factor -m**4 + 4*m**2 - u*m**g - 6 + m**4 + 4.
-2*(m - 1)**2*(m + 1)**2
Let l = 1 + 2. Let a be 4 + (-30)/12 + (-1)/6. Suppose -a*g**2 + 0 - 2/3*g - 2/3*g**l = 0. What is g?
-1, 0
Suppose 4*l - 5*g + 13 = 0, -5*g + 1 = -3*l - 3*g. Let j = -1 + l. What is u in -5 + 4*u + 1 - 2*u + 6*u**j = 0?
-1, 2/3
Suppose -64 = -2*j + 6*j. Let t = -10 - j. Suppose 3*h**2 - 2*h**2 + t*h**3 - h**3 - 6*h**3 = 0. What is h?
0, 1
Let p(s) be the third derivative of s**8/100800 + s**7/25200 - s**6/1800 - s**5/60 - 4*s**2. Let c(n) be the third derivative of p(n). Factor c(x).
(x - 1)*(x + 2)/5
Let t = 41/260 - 3/52. Let k(q) be the second derivative of 2*q + 0 - t*q**5 + 0*q**3 + 0*q**2 + 1/6*q**4. Factor k(l).
-2*l**2*(l - 1)
Let p(r) = -r**2 + r - 1. Let v(l) = 60*l**2 - 95*l - 5. Let k(b) = 15*p(b) + v(b). Factor k(f).
5*(f - 2)*(9*f + 2)
Let o(s) be the second derivative of 3*s**7/77 - 49*s**6/55 + 28*s**5/5 - 10*s**4/11 - 192*s**3/11 + 256*s**2/11 - 29*s. Suppose o(y) = 0. What is y?
-1, 2/3, 8
Find k, given that -9*k**2 + 5*k - 3*k - 3 + 3*k**3 + 7*k = 0.
1
Suppose 5*c - 7 = 3*h, -2*c - 3 = -3*c - h. Suppose -w - 1 = -0*r - r, 0 = c*r - 4*w - 4. Factor 2*a - 1 - a**4 - 2*a**3 + r + 2*a**4.
(a - 1)**3*(a + 1)
Let w(r) be the first derivative of 3 + 8*r**3 + 0*r + 162/5*r**5 + 8/9*r**2 + 27*r**4. Factor w(l).
2*l*(9*l + 2)**3/9
Solve 4/7*r - 2/7*r**3 + 0 + 2/7*r**2 = 0.
-1, 0, 2
Suppose 2 = 4*b - 6. Let k(l) be the second derivative of 0 - 1/54*l**4 + b*l + 1/27*l**3 + 0*l**2. Factor k(g).
-2*g*(g - 1)/9
Let i(l) be the third derivative of 4*l**2 - 1/960*l**6 + 1/240*l**5 + 0 + 0*l + 0*l**4 + 0*l**3. Factor i(a).
-a**2*(a - 2)/8
Let p be ((-30)/8 + 2)*(-2)/14. Solve 1/4*m**2 + p + 1/2*m = 0.
-1
Let u(r) be the third derivative of r**7/6300 - r**6/1800 + r**4/8 + 3*r**2. Let v(b) be the second derivative of u(b). Determine w so that v(w) = 0.
0, 1
Let n = 298/69 - 84/23. Factor -1/3*k**5 + 2/3*k**2 + 1/3*k + 0*k**3 - n*k**4 + 0.
-k*(k - 1)*(k + 1)**3/3
Let a(q) = 6*q**2 + q - 5. Let m(u) = u**2 + u. Let o(j) = -a(j) + m(j). Suppose o(g) = 0. What is g?
-1, 1
Let a(l) be the first derivative of 2*l**5/75 - l**4/15 + 2*l**3/45 - 55. Factor a(x).
2*x**2*(x - 1)**2/15
Let p be 3*(-6)/9 - -2. Suppose -4*c - u + 12 = 0, 2*c - 2*u - 16 = -p*u. Factor 8*t**2 + 2*t - 3*t + c*t**4 - t - 10*t**3.
2*t*(t - 1)**2*(2*t - 1)
Let i(f) be the second derivative of 1/25*f**5 + 0 + 1/75*f**6 + 0*f**4 - 6*f + 0*f**2 + 0*f**3. Factor i(p).
2*p**3*(p + 2)/5
Let c(u) be the second derivative of -u**6/60 + 5*u. Find y, given that c(y) = 0.
0
Solve 11/8*z**3 - 1/4*z + 9/8*z**2 + 0 = 0.
-1, 0, 2/11
Suppose -11/5*y**2 + 0*y**3 - 9/5*y - 2/5 + 4/5*y**4 = 0. Calculate y.
-1, -1/2, 2
Let u = 178 - 174. Let z(x) be the second derivative of 0 - x**2 - x + 1/6*x**u + 0*x**3. Solve z(g) = 0 for g.
-1, 1
Suppose 4*j - 2*m - 16 = 0, 2*j - 2*m - 6 - 6 = 0. Factor -6/5*n - 2/5*n**j - 4/5.
-2*(n + 1)*(n + 2)/5
Let v = 4 + -8. Let t be v/(-6)*(-3)/(-7). Factor t*d**2 + 2/7*d - 2/7*d**3 + 0 - 2/7*d**4.
-2*d*(d - 1)*(d + 1)**2/7
Suppose -5*z + z + 2*o = 0, 5*o - 30 = -5*z. Solve 10*w**3 - 4 + 13*w + 6*w**3 - 24*w**z + 3*w - 4*w**4 = 0 for w.
1
Let t(f) be the first derivative of -f**6/18 - 2*f**5/15 - f**4/12 + 8. Factor t(w).
-w**3*(w + 1)**2/3
Let i(o) be the first derivative of o**3/7 - 3*o**2 + 21*o - 17. Factor i(x).
3*(x - 7)**2/7
Let c(t) be the first derivative of 2/5*t**2 + 1/5*t**3 + 1/5*t + 4. Suppose c(p) = 0. Calculate p.
-1, -1/3
Let x(u) = 5*u - 2. Let w be x(1). Suppose -2*m = -2*p - 2, w - 10 = -m - p. Factor 2*q**3 - 2*q**m - 1/2 + 3/2*q**2 - q.
-(q - 1)**2*(2*q + 1)**2/2
Let q(i) be the first derivative of -i**4/2 + 4*i**3/27 + 4*i**2 - 16*i/9 + 60. Let q(k) = 0. What is k?
-2, 2/9, 2
Let i(y) be the first derivative of y**5/8 + y**4/3 - y**3/3 + y - 7. Let o(h) be the first derivative of i(h). Suppose o(v) = 0. What is v?
-2, 0, 2/5
Let q(u) be the first derivative of -2*u**5/5 + u**4/2 + u**3/2 - u**2/2 - u/2 - 3. Factor q(v).
-(v - 1)**2*(2*v + 1)**2/2
Let q(r) be the second derivative of 3/80*r**5 + 3/16*r**4 + 3/8*r**2 + 3/8*r**3 + 3*r + 0. Factor q(b).
3*(b + 1)**3/4
Let h be (-3)/(-6)*-6 - -7. Let q(t) be th