ive of -x**7/1155 + x**6/330 + 2*x**5/165 - 2*x**4/33 + x**2. Factor b(c).
-2*c*(c - 2)**2*(c + 2)/11
Let i be (-10 - -10)*(-1)/(-3). Let b(u) be the first derivative of 0*u**3 + 0*u**4 - 1/33*u**6 + 3 + 2/55*u**5 + 0*u + i*u**2. Determine r so that b(r) = 0.
0, 1
Let x(h) be the first derivative of -h**7/630 + h**5/180 + 5*h**2/2 + 1. Let d(u) be the second derivative of x(u). Factor d(s).
-s**2*(s - 1)*(s + 1)/3
Let s = 29 + -24. Factor -4/7*q**4 + 0*q**2 + 2/7*q**3 + 0*q + 0 + 2/7*q**s.
2*q**3*(q - 1)**2/7
Let w(z) be the first derivative of -z**3 + 2 + 0*z + 3*z**2 - 3/2*z**4 + 3/5*z**5. Factor w(s).
3*s*(s - 2)*(s - 1)*(s + 1)
Let w(j) be the first derivative of -j**4 - 13*j**3/3 - 11*j**2/2 - 2*j - 5. Suppose w(s) = 0. What is s?
-2, -1, -1/4
Let p(t) be the second derivative of -t**4/8 - t**3/2 + 4*t. Solve p(z) = 0.
-2, 0
Let w = -343/5 + 69. Factor -w*j**2 + 2/5 + 0*j.
-2*(j - 1)*(j + 1)/5
Let s(h) be the first derivative of h**6/1440 - h**5/160 + h**4/48 + 2*h**3/3 + 1. Let b(u) be the third derivative of s(u). Solve b(l) = 0.
1, 2
Let y(v) be the third derivative of -v**10/120960 + v**9/30240 - v**8/26880 + v**4/12 - 3*v**2. Let p(c) be the second derivative of y(c). Factor p(i).
-i**3*(i - 1)**2/4
Let x(s) be the third derivative of 0 + 0*s**3 - s**2 + 1/30*s**5 + 0*s + 1/12*s**4. Suppose x(o) = 0. Calculate o.
-1, 0
Suppose 2*x = 7*x + z - 10, 0 = -2*z. Let b(d) be the first derivative of 2/5*d**5 - 2/3*d**3 + 1/2*d**4 - 2 - d**x + 0*d. Factor b(h).
2*h*(h - 1)*(h + 1)**2
Let c(v) = -2*v**3 - 28*v**2 + 76*v + 4. Let q(f) = -f**3 - f**2 + f + 1. Let m(b) = -c(b) + 4*q(b). Determine d so that m(d) = 0.
0, 6
Let g(p) = p**4 + p**3 + p**2 + p. Let f(c) = 3*c**4 + 5*c**3 + 5*c**2 + 3*c. Suppose 8*v = 9*v - 6. Let m(i) = v*g(i) - 3*f(i). What is t in m(t) = 0?
-1, 0
Let c(m) be the first derivative of -m**6/15 + m**4/6 - 4*m - 3. Let q(v) be the first derivative of c(v). Determine h so that q(h) = 0.
-1, 0, 1
Let a(k) be the second derivative of -k**6/120 - k**5/30 + k**4/24 + k**3/3 - 3*k**2/2 - 3*k. Let z(o) be the first derivative of a(o). Factor z(m).
-(m - 1)*(m + 1)*(m + 2)
Factor -2/9*v**3 + 0 - 4/9*v**2 + 2/3*v.
-2*v*(v - 1)*(v + 3)/9
Solve 3 - 21*d**2 + 34*d**2 - 16*d**2 = 0.
-1, 1
Let r(h) be the first derivative of 4*h**5/5 - 2*h**4 + 4*h**3/3 - 56. Suppose r(g) = 0. Calculate g.
0, 1
Factor 7 + 5*t + t + 6 - 11 + 2*t**3 + 6*t**2.
2*(t + 1)**3
Let h(v) be the second derivative of -3*v**5/20 + v**4/4 - 42*v. Factor h(t).
-3*t**2*(t - 1)
Let r(h) be the third derivative of -h**5/270 + 5*h**4/108 + 2*h**3/9 - 9*h**2. Suppose r(w) = 0. Calculate w.
-1, 6
Let a(t) be the third derivative of t**6/280 + t**5/20 + t**4/4 + 4*t**3/7 - 27*t**2. Let a(c) = 0. What is c?
-4, -2, -1
Let u(o) be the first derivative of o**3/3 - o**2 + o + 3. Factor u(q).
(q - 1)**2
Let u = 9 - 9. Solve u - 2/5*v**3 + 0*v**2 + 2/5*v = 0.
-1, 0, 1
Let x(c) be the first derivative of -3 + 6*c**2 + 5 + 1 + 1 + c**3 + 12*c. Solve x(m) = 0 for m.
-2
Let b be 4*((-105)/(-20))/7. Factor -3/2*h**b - h + 0 - 7/2*h**2.
-h*(h + 2)*(3*h + 1)/2
Let y(j) be the third derivative of -8/27*j**3 + 0*j + 0 - 4*j**2 - 1/1512*j**8 - 11/540*j**6 + 2/315*j**7 + 1/135*j**5 + 1/9*j**4. Find s such that y(s) = 0.
-1, 1, 2
Let x = -17 - -14. Let r be 6/40 + x/(-12). Suppose -4/5*h**2 + 0 - r*h**3 - 2/5*h = 0. What is h?
-1, 0
Suppose g - 5 = -3*u, -4*u + g - 20 = -3*g. Let y = 220 - 2418/11. Factor 0*k - y*k**3 + 0*k**2 + u.
-2*k**3/11
Let h(b) be the third derivative of b**7/1260 - b**5/60 - b**4/4 + b**2. Let q(s) be the second derivative of h(s). Factor q(i).
2*(i - 1)*(i + 1)
Let y(u) be the second derivative of 0 - 1/60*u**6 - 1/5*u**5 - u - u**4 - 8/3*u**3 + 2*u**2. Let m(b) be the first derivative of y(b). Factor m(i).
-2*(i + 2)**3
Let g(k) = 25*k**2 - 325*k + 470. Let n(m) = 2*m**2 - 25*m + 36. Let v(x) = -3*g(x) + 40*n(x). Factor v(z).
5*(z - 3)*(z - 2)
Let c = -299 + 301. Factor 0 - 2/7*h - 1/7*h**c.
-h*(h + 2)/7
Let c = 423 + -15227/36. Let z(n) be the third derivative of -4*n**2 + 0*n**3 + 0 + 1/90*n**5 + 0*n - c*n**4. Determine f so that z(f) = 0.
0, 1
Let y(d) be the second derivative of 1/5*d**6 + 0*d**3 + 0*d**2 + 0*d**4 + 0 + 3/20*d**5 - 6*d + 1/14*d**7. Factor y(p).
3*p**3*(p + 1)**2
Let c = -11/7 - -40/21. Suppose d + 1/3*d**3 - c - d**2 = 0. What is d?
1
Let q(m) be the first derivative of 5*m**4/4 - 55*m**3/3 + 95*m**2/2 - 45*m + 12. Let q(l) = 0. Calculate l.
1, 9
Let w(u) = u**2 + 10*u + 12. Let a be w(-8). Let q be 24/16 - 6/a. Solve 5*c**3 - 6*c**q + 2*c**2 + c + c**4 - 3*c**2 = 0 for c.
-1, 0, 1
Let z(o) = 3*o**2 + o + 2. Let d be z(2). Factor -28*s**2 - 8 - 12*s - 8*s - d*s.
-4*(s + 1)*(7*s + 2)
Let l = 187 - 4487/24. Let h(p) be the third derivative of 0*p**3 + l*p**4 - 1/30*p**5 + 0 + 2*p**2 + 0*p. Let h(z) = 0. What is z?
0, 1/2
Let z(x) = x - 2. Let i be z(8). Factor -4*u - 4*u**4 + i*u**4 - 24*u**3 + 18*u**2 + 8*u**4.
2*u*(u - 1)**2*(5*u - 2)
Let t(d) be the second derivative of -1/11*d**3 - 1/66*d**4 + 4*d + 0*d**2 + 0. Factor t(l).
-2*l*(l + 3)/11
Let p = 2/2333 + 4612/62991. Let h(g) be the first derivative of 0*g**2 + p*g**3 + 1 + 0*g + 2/45*g**5 - 1/9*g**4. Suppose h(m) = 0. What is m?
0, 1
Suppose 1603*m = 1600*m. Let 0*d + m + 2/11*d**5 + 0*d**2 - 8/11*d**3 + 0*d**4 = 0. Calculate d.
-2, 0, 2
Let o be (-4)/(-10) + 54/15. Let l = -1 - -3. Let 5*f**4 + 2*f**3 - l*f**o - 3*f**3 = 0. Calculate f.
0, 1/3
Let y be 5/10*-10 + 8. Let p(z) be the second derivative of 0*z**3 + y*z + 0 - 1/12*z**4 + 1/2*z**2. Let p(t) = 0. Calculate t.
-1, 1
Let j(x) be the third derivative of -x**7/210 - x**6/20 - 13*x**5/60 - x**4/2 - 2*x**3/3 + 2*x**2. Let j(f) = 0. Calculate f.
-2, -1
Let w(b) be the second derivative of -b**4/4 + b**3 - 3*b**2/2 + 11*b. Factor w(q).
-3*(q - 1)**2
Let i(x) be the second derivative of -x**4/78 - x**3/39 - 9*x. Factor i(y).
-2*y*(y + 1)/13
Suppose -144 = -3*q + 3*l, 195 = 5*q - q - 5*l. Suppose r = -4*r + q. Factor -r*d**2 - d + d**2 + 9*d**2.
d*(d - 1)
Let y(f) = -9*f + 3. Let l(t) be the second derivative of t**4/12 - 3*t**3 + 7*t**2/2 - 7*t. Let b(p) = 3*l(p) - 5*y(p). Factor b(d).
3*(d - 2)*(d - 1)
Let q(p) be the second derivative of -p**5/10 + p**3 - 2*p**2 - p. Solve q(d) = 0 for d.
-2, 1
Let u(l) be the second derivative of l**5/50 + l**4/15 - 4*l. Suppose u(i) = 0. What is i?
-2, 0
Suppose -7*i + 2*i + 150 = -5*b, i - 96 = 3*b. Let j(z) = -z**2 - 3*z + 2. Let k(a) = 5*a**2 + 16*a - 11. Let t(w) = b*j(w) - 6*k(w). Factor t(p).
3*p*(p + 1)
Let t(w) be the second derivative of 0*w**2 + 0*w**4 + 2*w - 1/120*w**6 + 0*w**3 + 0 + 1/80*w**5. Solve t(g) = 0.
0, 1
Let g(a) be the third derivative of -a**8/3360 + a**6/120 + a**5/30 + a**4/24 - a**2. Let q(d) be the second derivative of g(d). Factor q(h).
-2*(h - 2)*(h + 1)**2
Let u = -120 + 123. Let x be 2*(7/(-6))/(-7). Suppose -n**u + 0*n + 0 - x*n**2 - 2/3*n**4 = 0. Calculate n.
-1, -1/2, 0
Let y(i) be the third derivative of -1/4*i**4 - 3/2*i**3 + 0*i - 1/60*i**5 + i**2 + 0. Suppose y(r) = 0. Calculate r.
-3
Let i = 5/22 - -3/11. Let q = -1 - -1. Determine w so that 0 - i*w**2 + q*w + 1/4*w**3 + 1/4*w**4 = 0.
-2, 0, 1
Suppose -3*d + 3*l - 12 = -0, 4*d + 4*l - 16 = 0. Let x(f) be the first derivative of d*f**5 + 0*f - 1/3*f**6 + 0*f**2 + 1/2*f**4 + 2 + 0*f**3. Factor x(q).
-2*q**3*(q - 1)*(q + 1)
What is h in -4/11 - 2/11*h + 2/11*h**2 = 0?
-1, 2
Let b = -16 - -20. Factor 1/4*f**b + 1/4 + 3/2*f**2 - f**3 - f.
(f - 1)**4/4
Factor 3/4 - 3/4*t**3 + 5/4*t**2 + 11/4*t.
-(t - 3)*(t + 1)*(3*t + 1)/4
Find n, given that 2/13*n**3 + 6/13 - 2/13*n - 6/13*n**2 = 0.
-1, 1, 3
Suppose -7*i + 22 = -6. Let p(j) be the first derivative of 4/11*j**2 + i - 40/33*j**3 + 25/22*j**4 + 0*j. Suppose p(z) = 0. What is z?
0, 2/5
Suppose 3*n + 2*n + 10 = 0, -4*j - 2*n + 4 = 0. Factor -2*c**2 + 0*c**j + c**2 + 3*c**2.
2*c**2
Let i(v) be the first derivative of -v**6/21 - 4*v**5/35 + 4*v**3/21 + v**2/7 - 3. Determine o so that i(o) = 0.
-1, 0, 1
Suppose 0 = -p - 4*p. Let b(z) be the second derivative of 1/10*z**5 + 1/15*z**6 + p + z + 0*z**2 - 1/6*z**4 - 1/3*z**3. Factor b(n).
2*n*(n - 1)*(n + 1)**2
Let k(t) be the second derivative of t**4/2 - 7*t**3/3 + 2*t**2 - 3*t. Factor k(u).
2*(u - 2)*(3*u - 1)
Let d = 