h) be the third derivative of h**5/60 - 12*h**2. Factor g(a).
a**2
Let x(y) be the second derivative of y**9/5040 - y**7/420 + y**5/40 - y**4/2 - y. Let t(p) be the third derivative of x(p). Factor t(i).
3*(i - 1)**2*(i + 1)**2
Let r be -3*(-4)/12 - 0. Let l(k) be the first derivative of r - k**2 + 0*k - 1/2*k**4 - 4/3*k**3. What is v in l(v) = 0?
-1, 0
Let c = 1084/4797 + -2/533. Factor 2/9*o**2 + 4/9*o + c.
2*(o + 1)**2/9
Let l be (-4)/12 - (-262)/750. Let z = 268/1125 - l. Factor -2/3*g**3 - 14/9*g**2 - z - 10/9*g.
-2*(g + 1)**2*(3*g + 1)/9
Let d(c) be the second derivative of -c**4/12 + c**3/3 - c**2/2 + c. Suppose d(k) = 0. Calculate k.
1
Let g(y) be the third derivative of -1/105*y**7 + 0 + 1/6*y**4 + 0*y - 1/30*y**6 + 4*y**2 + 0*y**5 + 1/3*y**3. Find s such that g(s) = 0.
-1, 1
Let t(o) = 4*o**2 + 10*o - 2. Let z be t(-3). Let p(s) be the third derivative of 0 - 1/10*s**5 + 0*s**3 + 1/6*s**z + 3*s**2 + 0*s + 1/60*s**6. Factor p(x).
2*x*(x - 2)*(x - 1)
Let w(v) be the third derivative of 0*v + 1/60*v**4 + 5*v**2 + 0 + 1/150*v**5 - 2/15*v**3. Factor w(l).
2*(l - 1)*(l + 2)/5
Let r be 3 + 0 + (2 - 11). Let t be r/(-9) + (-4)/12. Factor 1/3*a**3 - t - a**2 + a.
(a - 1)**3/3
Factor -7/2 + 15/2*m - m**2.
-(m - 7)*(2*m - 1)/2
Let l(y) be the first derivative of 5*y**4/2 + 8*y**3/3 - y**2 - 10. What is c in l(c) = 0?
-1, 0, 1/5
Let k(h) be the second derivative of -h**6/210 + h**5/35 - h**4/42 - 2*h**3/21 + 3*h**2/14 + 4*h. Suppose k(j) = 0. What is j?
-1, 1, 3
Suppose 4*o - 23 = -7. Suppose 13*c**3 - 3*c**2 - 10*c - 5*c**2 + 4*c**2 - 3*c**3 + o = 0. What is c?
-1, 2/5, 1
Suppose 4 = x + 5. Let d be (-2 - x)/((-3)/6). Factor d + y + 2*y + 0*y + y**2.
(y + 1)*(y + 2)
Let p(w) = -w - 13. Let d(a) = 2*a + 27. Let y(k) = -4*d(k) - 10*p(k). Let n be y(-11). Determine v, given that 1/3*v**3 - 2/3*v**2 + 1/3*v + n = 0.
0, 1
Suppose b + 2 = -o + 3, 0 = -2*o + 5*b - 5. Suppose -a - 2*a + 3 = o. Factor -3 + a - 6*d - 2*d**2 - 2.
-2*(d + 1)*(d + 2)
Let y = 1371 + -6849/5. Factor -3/5 - 3/5*g**2 + y*g.
-3*(g - 1)**2/5
Let f(s) be the third derivative of -2*s**2 + 0*s**3 + 0 + 0*s + 1/20*s**5 + 3/8*s**4. Factor f(m).
3*m*(m + 3)
Let s(d) be the third derivative of -2*d**2 + 1/105*d**7 + 0*d + 1/168*d**8 + 0 + 0*d**4 - 1/30*d**5 - 1/60*d**6 + 0*d**3. What is l in s(l) = 0?
-1, 0, 1
Suppose -5 + 21 = 4*v. Let c(t) = t**2 - 3*t - 1. Let f be c(v). Factor 2/5*s + 4/5*s**f + 0 - 6/5*s**2.
2*s*(s - 1)*(2*s - 1)/5
Let u(d) be the third derivative of d**10/151200 + d**9/36288 + d**8/30240 + d**5/20 + 3*d**2. Let w(n) be the third derivative of u(n). Solve w(p) = 0.
-1, -2/3, 0
Suppose 0 = 5*s - 3 - 7. Factor 0*j + j + j**s - 4*j - 16 + 18.
(j - 2)*(j - 1)
Let f(u) be the first derivative of u**6/18 + u**5/5 + u**4/6 - 28. Solve f(w) = 0 for w.
-2, -1, 0
Suppose 0*d + 2 = -2*d. Let s be 2 - 2*d/2. Factor g**3 + 2*g**3 + s*g**2 - g**2.
g**2*(3*g + 2)
Let r(a) be the first derivative of 9 + 0*a**2 + 1/34*a**4 + 2/85*a**5 + 0*a - 4/51*a**3. Find b such that r(b) = 0.
-2, 0, 1
Let x(j) be the second derivative of -j**6/75 + 2*j**5/25 + j**4/15 - 4*j**3/5 - 9*j**2/5 - j. Factor x(w).
-2*(w - 3)**2*(w + 1)**2/5
Let n = -205 + 207. Factor -2/3*x - 2/3 + 2/3*x**n + 2/3*x**3.
2*(x - 1)*(x + 1)**2/3
Let d be (-1 - -2) + 6 + (-166)/24. Let s(g) be the second derivative of 0*g**2 + 0 + d*g**4 - 2*g + 0*g**3. Factor s(b).
b**2
Let i = -10 - -12. Let x(g) be the first derivative of -1/2*g + 1 - 1/6*g**3 + 1/2*g**i. Find k such that x(k) = 0.
1
Let r(u) be the third derivative of 1/1344*u**8 - 3*u**2 + 1/32*u**4 + 0 - 1/120*u**6 + 1/12*u**3 + 0*u + 0*u**7 - 1/120*u**5. Suppose r(v) = 0. Calculate v.
-1, 1, 2
Let m(o) be the second derivative of o**7/42 - 11*o**6/90 + o**5/10 + 36*o. Factor m(y).
y**3*(y - 3)*(3*y - 2)/3
Let a(f) be the second derivative of 2/57*f**3 - 1/285*f**6 + 0 + 0*f**2 - 1/95*f**5 - 9*f + 1/114*f**4. Suppose a(x) = 0. What is x?
-2, -1, 0, 1
Let r(o) be the third derivative of 0*o - o**2 + 0*o**4 - 1/120*o**5 - 1/360*o**6 + 1/3*o**3 + 0. Let b(q) be the first derivative of r(q). Factor b(m).
-m*(m + 1)
Factor -18/11*x + 2/11*x**3 - 54/11 + 6/11*x**2.
2*(x - 3)*(x + 3)**2/11
Let m(r) be the second derivative of -r**4/54 - 22*r**3/27 - 121*r**2/9 - 34*r. Factor m(p).
-2*(p + 11)**2/9
Suppose -2*j - 1 = -3*q + 2*q, 3*q = j + 3. Let p(n) be the third derivative of n**2 + 0 - 7/360*n**6 + j*n**4 + 0*n + 0*n**3 + 1/90*n**5. Factor p(r).
-r**2*(7*r - 2)/3
Let t(i) be the second derivative of i + 1/140*i**5 - 1/14*i**3 - 1/7*i**2 + 0*i**4 + 0. Factor t(b).
(b - 2)*(b + 1)**2/7
Let r(d) be the third derivative of d**8/1176 + 2*d**7/735 - d**6/140 - 2*d**5/105 + d**4/21 - 2*d**2. Factor r(n).
2*n*(n - 1)**2*(n + 2)**2/7
Let d(m) = m**3 - 4*m**2 - 12*m + 2. Let v be d(6). Factor 0 + 4/5*c**v - 4/5*c**4 + 0*c**3 + 2/5*c**5 - 2/5*c.
2*c*(c - 1)**3*(c + 1)/5
Let o(n) = n**3 - 7*n**2 + 2*n - 14. Let q be o(7). Factor q*y**2 + 2*y - 2/3*y**3 + 4/3.
-2*(y - 2)*(y + 1)**2/3
Factor -o**2 - 6*o + 0*o + 7*o.
-o*(o - 1)
Let f = -3 + 3. Suppose f = 2*j + 4, 4*j - 13 = -5*s + 3*j. Let -o + o**4 + 0*o**s + 3*o**2 + o**3 - 4*o**2 = 0. Calculate o.
-1, 0, 1
Let u = 3149 + -28369/9. Let y = 158/45 + u. Solve y*z**4 - 4/5*z + 4/5*z**3 - 2/5 + 0*z**2 = 0.
-1, 1
Factor -4*g**3 + 26/3*g**2 - 8*g + 8/3 + 2/3*g**4.
2*(g - 2)**2*(g - 1)**2/3
Let w be (255/102)/(1/2*10). Let -w - 1/2*c + 1/2*c**3 + 1/2*c**2 = 0. Calculate c.
-1, 1
Let r be 15/((-1)/(-2)*1). Let z be 14/r + 2/15. Factor -4/5*j - 4/5 + z*j**2.
(j - 2)*(3*j + 2)/5
Let x(h) be the second derivative of h**5/25 - 2*h**4/15 - 2*h**3/15 + 4*h**2/5 - h. Suppose x(m) = 0. Calculate m.
-1, 1, 2
Let s(v) be the third derivative of v**8/112 + v**7/7 + v**6 + 4*v**5 + 10*v**4 + 16*v**3 + v**2 - 2*v. Factor s(f).
3*(f + 2)**5
Let j(y) = -y**3 + 8*y**2 - 7*y + 6. Let q be j(7). Let m(r) = r**2 + 6*r + 4. Let s be m(-6). Factor -1 - t**s - 4*t - q*t**2 + t**4 - t**4 - 4*t**3.
-(t + 1)**4
Let k be (4/(-2))/(3/(-1)). Let p be (20/48)/((-3)/24) - -4. Find h, given that -p + k*h**2 + 0*h = 0.
-1, 1
Let h(v) = -76*v - 404. Let d(g) = g**2 - 75*g - 405. Let y(a) = -4*d(a) + 5*h(a). Factor y(i).
-4*(i + 10)**2
Solve 0 + 0*k + 8/5*k**4 + 4/5*k**5 + 1/5*k**2 + k**3 = 0.
-1, -1/2, 0
Let r be 15*-2*3/(-105). Suppose k = -3*o + 2, 0 = -k + o + 2. Factor -4/7*p - r*p**k + 0.
-2*p*(3*p + 2)/7
Let t(g) be the second derivative of -14*g**6/15 + 27*g**5/20 + 13*g**4/24 - 3*g**3/4 - g**2/2 + 9*g. Determine p so that t(p) = 0.
-2/7, -1/4, 1/2, 1
Let o(h) be the second derivative of -1/2*h**2 - 1/60*h**6 + h + 0 + 1/12*h**3 - 1/40*h**5 + 1/8*h**4. Factor o(n).
-(n - 1)**2*(n + 1)*(n + 2)/2
Let n(r) be the third derivative of 0*r + 1/150*r**5 + 0*r**3 + 1/900*r**6 + 1/90*r**4 - 6*r**2 + 0. Factor n(p).
2*p*(p + 1)*(p + 2)/15
Suppose 0 = 2*n - n - 6. Factor w - n*w**3 + w**3 + 4*w**3.
-w*(w - 1)*(w + 1)
Let q(h) be the third derivative of -h**5/140 + 12*h**2. Let q(r) = 0. Calculate r.
0
Let v(y) be the first derivative of 2*y**3/3 - y**2 - 14. Find f such that v(f) = 0.
0, 1
Let z(x) = 14*x - 5. Let a be z(5). Let m be (52/a)/(4/10). Find d, given that d + 1 + 1/4*d**m = 0.
-2
Suppose 2*z - 31 = -5*p, 4 = 5*z + 3*p - 26. Factor -2/7*a**z + 2/7*a**2 + 0 + 4/7*a.
-2*a*(a - 2)*(a + 1)/7
Let w(z) be the first derivative of z**4/12 - 2*z**3/3 + 2*z**2 + z - 4. Let x(p) be the first derivative of w(p). Suppose x(h) = 0. What is h?
2
Let g(o) be the first derivative of 0*o + 0*o**2 + 1/14*o**4 + 2 - 4/21*o**3. Factor g(y).
2*y**2*(y - 2)/7
Factor 0*m**2 - 3/2*m**3 + 0*m + 15/4*m**4 + 0 + 9/4*m**5.
3*m**3*(m + 2)*(3*m - 1)/4
Suppose -10*c + 7*c + 2*v = -8, 3*c - 16 = 4*v. Suppose 2*j**3 + c*j**2 + 2/3*j**4 + 0 - 8/3*j = 0. Calculate j.
-2, 0, 1
Let t(u) be the third derivative of -u**7/70 - 3*u**6/20 - 3*u**5/5 - u**4 - 6*u**2. Factor t(f).
-3*f*(f + 2)**3
Suppose 3*f = -2*m + 2*f + 17, 2*m + 2*f - 18 = 0. Let j be ((-1)/(-5))/(2/m). Solve 0 + 0*w - j*w**2 + 6/5*w**3 + 2*w**4 = 0 for w.
-1, 0, 2/5
Let c(o) be the third derivative of -o**6/60 + o**5/10 - o**4/6 + 2*o**2 + 29*o. Factor c(a).
-2*a*(a - 2)*(a - 1)
Let i(a) = -3*a. Let p be i(-3). Suppose -p*q**4 - 6*q**5 + 6*q**5 + 3*q**5 - 3*q**2 + 9*q**3 = 0. Calculate q.
0, 1
Let k(z) be the third derivative of -z**6/