 5*u**2. Let w(s) be the third derivative of j(s). Factor w(z).
-(5*z + 2)**2/4
Let v be ((-30)/9)/((-2)/3). Factor -2*q**4 + q + q**2 - q**2 - q**v + 0*q + 2*q**2.
-q*(q - 1)*(q + 1)**3
Let k(h) = h**3 - 5*h**2 - h + 5. Let t(i) = -i**2 + 1. Let y(o) = k(o) - 4*t(o). Suppose y(q) = 0. What is q?
-1, 1
Suppose 5*m - 21 = -1. Let h = 20 - 12. Let 7 + 3*k**2 + 4*k**3 - h - 2*k - k**4 - 3*k**m = 0. What is k?
-1/2, 1
Let x(l) be the third derivative of l**8/672 - 3*l**6/80 - 23*l**2. Factor x(t).
t**3*(t - 3)*(t + 3)/2
Let r(a) be the second derivative of 3*a**5/20 + a**4/2 - 3*a**3/2 - 16*a. Let r(y) = 0. Calculate y.
-3, 0, 1
Let d(l) = -l**3 - 8*l**2 + 1. Let t(b) = -b**3 - 9*b**2 + 1. Let n(c) = -6*d(c) + 5*t(c). Let k(y) be the first derivative of n(y). Factor k(w).
3*w*(w + 2)
Let i(f) be the second derivative of f + 0 - 2/9*f**3 + 1/3*f**2 + 1/18*f**4. Factor i(s).
2*(s - 1)**2/3
Factor -144/5*k**2 + 3/5*k**3 + 2304/5*k - 12288/5.
3*(k - 16)**3/5
Let k(f) = -f**2 - f. Let w(y) = -15*y**2 - 10*y. Let l(o) = 10*k(o) - w(o). Suppose l(i) = 0. What is i?
0
Let c(b) be the third derivative of -b**8/28 - b**7/105 + 5*b**6/12 + 2*b**5/15 - b**4/3 - 4*b**2. Solve c(m) = 0.
-2, -1/2, 0, 1/3, 2
Let v(z) be the second derivative of -z**9/1512 - z**8/420 - z**3/3 + 3*z. Let q(f) be the second derivative of v(f). Factor q(s).
-2*s**4*(s + 2)
Let x be 6/18 + (-195)/(-63). Solve 8/7 - 18/7*s**4 - 24/7*s + x*s**3 + 10/7*s**2 = 0 for s.
-1, 2/3, 1
Let m = 7 + -5. Suppose -10 + 6 = -g. Factor m*d**4 + 0*d**3 - 2*d**g + d - 2*d**3 + d**5.
d*(d - 1)**2*(d + 1)**2
Let h(s) be the second derivative of s**5/35 + s**4/7 + 4*s**3/21 + 16*s. Factor h(l).
4*l*(l + 1)*(l + 2)/7
Let k = 14/25 + -48/175. Suppose -6/7*h - k - 2/7*h**3 - 6/7*h**2 = 0. Calculate h.
-1
Find t such that 0 + 4/3*t**2 + 4/3*t**3 - 4/3*t**4 - 4/3*t = 0.
-1, 0, 1
Let r be -2*(-1 + -1)/2. Let w(k) be the second derivative of 0*k**3 + 1/4*k**4 - 3/20*k**5 + 0*k**r + 0 + k. Factor w(p).
-3*p**2*(p - 1)
Solve -18/11*l**2 - 2/11*l + 0 - 48/11*l**3 - 32/11*l**4 = 0 for l.
-1, -1/4, 0
Let c(x) = x**2 + 8*x + 5. Let z be c(-8). Let y(s) be the third derivative of -1/480*s**6 - 1/32*s**4 + 0*s + 1/24*s**3 + 0 + 1/80*s**z + 3*s**2. Factor y(w).
-(w - 1)**3/4
Let z(u) be the second derivative of u**4/6 - 5*u**3/3 + 4*u**2 + 10*u. Factor z(n).
2*(n - 4)*(n - 1)
Let h(y) be the third derivative of -y**5/60 + y**4/8 + 35*y**2. Determine c, given that h(c) = 0.
0, 3
Suppose -3*r + 8 = -r. Let k(m) be the first derivative of -2 + 0*m**2 + 0*m**3 + 1/4*m**r + 0*m. Suppose k(g) = 0. What is g?
0
Let t(a) = -9*a**2 - 13*a - 11. Let b(s) = s**2 - s + 1. Let r(x) = 3*b(x) + t(x). Find f, given that r(f) = 0.
-2, -2/3
Let c(j) be the third derivative of -17*j**5/300 + 3*j**4/10 - 2*j**3/15 - 38*j**2. Suppose c(w) = 0. What is w?
2/17, 2
Let b(m) be the second derivative of -1/126*m**7 - 5*m - 1/9*m**3 + 0*m**2 - 1/36*m**4 + 1/20*m**5 + 1/90*m**6 + 0. Suppose b(a) = 0. What is a?
-1, 0, 1, 2
Let c(r) be the third derivative of r**10/75600 - r**9/15120 - r**8/10080 + r**7/1260 - r**5/60 - 4*r**2. Let t(j) be the third derivative of c(j). Factor t(b).
2*b*(b - 2)*(b - 1)*(b + 1)
Let h(y) be the second derivative of -2*y + 1/18*y**3 + 1/12*y**4 + 0*y**2 + 1/20*y**5 + 1/90*y**6 + 0. Factor h(c).
c*(c + 1)**3/3
Let j(q) be the first derivative of q**5/35 - q**4/7 + q**3/7 + 2*q**2/7 - 4*q/7 + 25. Let j(d) = 0. What is d?
-1, 1, 2
Let y(c) = 16*c**4 - 24*c**3 + 8*c**2. Let o(u) = u**5 - 16*u**4 + 23*u**3 - 8*u**2. Let n(p) = -4*o(p) - 3*y(p). Find l, given that n(l) = 0.
0, 1, 2
Let g be (-1 - 1)/((-4)/(-8)). Let o be 3/(-2) + (-22)/g. Factor -2*s**2 + 7*s**2 + s**3 - o*s**2.
s**2*(s + 1)
Suppose 23 = 2*x - 7. Suppose 3*k - 5*v = x, -2 = 4*k + 4*v + 10. Let 0*p**3 + k - 1/4*p + 1/2*p**2 + 1/4*p**5 - 1/2*p**4 = 0. Calculate p.
-1, 0, 1
Factor 2/3*q**2 - 1/3*q**5 - 1/3 + 2/3*q**3 - 1/3*q - 1/3*q**4.
-(q - 1)**2*(q + 1)**3/3
Let b(a) be the first derivative of -a**4/22 - 8*a**3/33 - 5*a**2/11 - 4*a/11 - 24. Find z such that b(z) = 0.
-2, -1
Let p(c) be the third derivative of -c**6/480 - c**5/120 + c**4/96 + c**3/12 + 18*c**2. Determine f so that p(f) = 0.
-2, -1, 1
Let v(w) be the first derivative of -w**6/24 - 3*w**5/40 + w**4/4 + 2*w**3/3 + 2. Let k(i) be the third derivative of v(i). Let k(a) = 0. What is a?
-1, 2/5
Let y = 858 + -85799/100. Let v(o) be the third derivative of 0 + 0*o**3 + y*o**6 - o**2 - 1/525*o**7 - 1/50*o**5 + 1/60*o**4 + 0*o. Solve v(m) = 0 for m.
0, 1
Let c = 336 - 482. Let z = c + 1024/7. Suppose -z*m**3 + 4/7 + 2/7*m - 4/7*m**2 = 0. What is m?
-2, -1, 1
Let x(j) be the second derivative of -j**5/10 - j**4/12 + j**2/2 - 7*j. Let t be x(-1). Solve 1/2 - 1/4*h**t + 1/4*h = 0 for h.
-1, 2
Determine h so that -1/6 - 1/6*h**2 + 1/3*h = 0.
1
Let a(m) be the first derivative of 3*m - 1/3*m**3 + 5 - m**2. Determine h, given that a(h) = 0.
-3, 1
Let s = 42 + -27. Let -s + p**4 + 15 - p**5 = 0. Calculate p.
0, 1
Solve 3*x**2 + 5/2*x + 3/4 + 1/4*x**4 + 3/2*x**3 = 0 for x.
-3, -1
Let b(p) be the second derivative of p**6/195 + 2*p**5/65 + p**4/13 + 4*p**3/39 + p**2/13 - 18*p. Factor b(f).
2*(f + 1)**4/13
Let w(z) be the second derivative of -z**6/165 - z**5/110 - 3*z - 7. Factor w(a).
-2*a**3*(a + 1)/11
Let h be (2 + 105/(-50))/(2/(-8)). Let p(j) be the first derivative of 2/15*j**3 + 2/5*j**2 + h*j - 2. Find x such that p(x) = 0.
-1
Let f(w) be the third derivative of w**7/3360 - w**6/1440 - w**5/480 + w**4/96 - 5*w**3/6 - 5*w**2. Let j(b) be the first derivative of f(b). Factor j(y).
(y - 1)**2*(y + 1)/4
Let p(k) be the third derivative of 0 + 4/15*k**3 + 1/150*k**5 + 0*k + k**2 - 1/15*k**4. Solve p(j) = 0.
2
Let n(f) = 3*f**2 - 11*f + 5. Let h(s) = -s**2 + 5*s - 3. Let y(q) = 5*h(q) + 3*n(q). Factor y(i).
4*i*(i - 2)
Let k be 2*(-2)/(-12)*9. Let t(h) = -12*h**3 + 3*h**2 - h - 5. Let f(q) = 6*q**3 - q**2 + q + 3. Let n(l) = k*t(l) + 5*f(l). Factor n(a).
-2*a*(a - 1)*(3*a + 1)
Let n(q) be the second derivative of q**7/6 + q**6/15 - 7*q**5/10 - q**4/3 + 7*q**3/6 + q**2 - 2*q. What is s in n(s) = 0?
-1, -2/7, 1
Let z = 34 + -23. Let g be (-3 - -3) + z/5. Factor -14/5*k**4 - 3/5*k**5 - 26/5*k**3 - 2/5 - g*k - 24/5*k**2.
-(k + 1)**4*(3*k + 2)/5
Suppose 13*f - 15*f = 20. Let s be f/6*14/(-35). Suppose -7*a**4 + 20/3*a**3 + 0 + a**2 - s*a = 0. Calculate a.
-1/3, 0, 2/7, 1
Let g = 112 + -112. Factor -3/5 + 6/5*v**2 + 0*v**3 - 3/5*v**4 + g*v.
-3*(v - 1)**2*(v + 1)**2/5
Let x be (2/3)/((-2)/(-9)). Suppose 3*q - 12 = -4*v, -5*v + 25 = x*q + 10. Let -b**2 + q*b**2 + 2*b**2 - b**3 = 0. What is b?
0, 1
Let y(q) = q**3 - 3*q**2 - 2*q - 2. Let a(l) = 2*l**3 - 7*l**2 - 5*l - 5. Let b(i) = 2*a(i) - 5*y(i). Determine u, given that b(u) = 0.
0, 1
What is c in -13*c - 15*c**5 + 43*c**3 + 90*c**2 - 25 - 42*c + 27*c**3 - 65*c**4 = 0?
-5, -1, -1/3, 1
Let x(b) be the first derivative of 1/10*b**5 + 0*b**3 - 8*b + 5 - 4*b**2 + 1/2*b**4. What is s in x(s) = 0?
-2, 2
Let q = -13 + 18. Suppose -1 = -3*g - q*c, g + g = -4*c. Solve 2*x + x**2 - 2 + g*x + x**2 - 4*x**3 = 0 for x.
-1, 1/2, 1
Let u(x) be the first derivative of 3 - 1/25*x**5 + 1/4*x**4 - 3/5*x**3 - 2/5*x + 7/10*x**2. Factor u(v).
-(v - 2)*(v - 1)**3/5
Let v(g) be the first derivative of -121*g**3/12 + 11*g**2/2 - g + 22. Factor v(t).
-(11*t - 2)**2/4
Let y(p) be the third derivative of -p**6/48 - 5*p**5/24 - 35*p**4/48 - 5*p**3/4 + 10*p**2. Factor y(b).
-5*(b + 1)**2*(b + 3)/2
Factor -3*t**2 + 2*t + t - 3*t**4 - 3*t**3 + 6*t**4.
3*t*(t - 1)**2*(t + 1)
Let q(h) be the second derivative of -h**5/80 + 3*h**4/32 + 3*h**2 - 5*h. Let a(i) be the first derivative of q(i). Factor a(x).
-3*x*(x - 3)/4
Suppose -3*l = -6*l - 18. Let o(d) = -9*d**2 - 6*d - 6. Let g(r) = -19*r**2 - 12*r - 13. Let w(f) = l*g(f) + 13*o(f). Suppose w(c) = 0. Calculate c.
-2, 0
Let d be -2*(4 + (-13)/2). Let i(j) be the first derivative of -2*j**3 - 7/2*j**4 + 7*j**2 - 4*j + 2*j**d + 2. Factor i(p).
2*(p - 1)**2*(p + 1)*(5*p - 2)
Let i be ((-15)/6)/5*-40. Let h(o) = o**3 - o**2 - o. Let d(n) = 12*n**3 - 4*n**2 - 18*n. Let m(g) = i*h(g) - 2*d(g). Factor m(s).
-4*s*(s - 1)*(s + 4)
Let a(j) = -36*j**2 + 84*j + 104. Let p(n) = 7*n**2 - 17*n - 21. Let u(q) = -3*a(q) - 16*p(q). Determine z so that u(z) = 0.
-1