4*b**3/3 - 4*b**2 + 8*b + 2. Let c(k) be the first derivative of x(k). Factor c(y).
-2*(y - 2)*(y - 1)*(y + 2)
Let r(f) = 0*f + 2*f**2 - 5*f + f - 2*f - 2. Let u(p) = -4*p**2 + 13*p + 4. Let d = 6 - 0. Let y(c) = d*u(c) + 13*r(c). Factor y(m).
2*(m - 1)*(m + 1)
Let v(m) be the first derivative of 3*m**5/5 + 3*m**4/2 + m**3 + 48. Factor v(d).
3*d**2*(d + 1)**2
Factor -1372*l**4 - 672*l**2 + 128*l + 1568*l**3 - 64/7.
-4*(7*l - 2)**4/7
Let f(y) be the third derivative of 0 + 0*y**3 + 1/840*y**7 - 1/48*y**4 - 1/120*y**6 + 1/48*y**5 - 4*y**2 + 0*y. Factor f(r).
r*(r - 2)*(r - 1)**2/4
Let p = 127/336 + -5/112. Factor -p*g**4 + 4/3*g - g**3 + 0*g**2 + 0.
-g*(g - 1)*(g + 2)**2/3
Let c = -597 - -597. Let -2/15*g + 2/15*g**2 - 2/15*g**4 + c + 2/15*g**3 = 0. Calculate g.
-1, 0, 1
Let k = -8 + 13. Find f, given that 24*f + k*f**2 - 2*f**2 - 21*f = 0.
-1, 0
Let b(u) be the first derivative of 3*u**5/25 - 8*u**3/5 + 48*u/5 + 6. Determine l so that b(l) = 0.
-2, 2
Let c(r) = 17*r**3 + 8*r - 6*r**3 + 5*r + 4*r**3 - 21*r**2. Let l(u) = -5*u**3 + 7*u**2 - 4*u. Let o(y) = 2*c(y) + 7*l(y). Factor o(x).
-x*(x - 1)*(5*x - 2)
Let v(h) be the first derivative of 3*h**4/4 - 21*h**2/2 - 18*h + 1. Let v(m) = 0. Calculate m.
-2, -1, 3
Let j be 75*((-40)/15 + 3). Suppose -5 = -5*u + 4*c - 3*c, 3*u - 5*c - j = 0. Suppose u*v - 1/3*v**3 + 0 - 1/3*v**2 = 0. What is v?
-1, 0
Let s(m) = -11*m**2 - 18*m - 7. Let h(r) = -6*r**2 - 9*r - 3. Let j(g) = 2*g**3 + 3*g**2 + g + 1. Let a be j(-2). Let y(k) = a*h(k) + 3*s(k). Factor y(f).
-3*(f + 1)*(f + 2)
Let f(c) be the first derivative of -c**4/10 - 4*c**3/15 - c**2/5 + 2. Solve f(y) = 0.
-1, 0
Let g be 1 + (128/(-24) - -7). Suppose -8*m + 26/3*m**2 + g - 4*m**3 + 2/3*m**4 = 0. What is m?
1, 2
Let l(y) be the third derivative of -y**6/60 + y**5/30 + y**4/6 - 2*y**2. Factor l(c).
-2*c*(c - 2)*(c + 1)
Let k(z) be the first derivative of 0*z + 1/8*z**4 + 2 + 0*z**3 + 0*z**2. Factor k(b).
b**3/2
Let c be (21/(-6))/7*0. Let m(j) be the second derivative of 0*j**2 - j + 1/6*j**3 + 0*j**4 + c - 1/20*j**5. Factor m(r).
-r*(r - 1)*(r + 1)
Let d(t) be the first derivative of 2*t**5/15 - t**4/6 - 4*t**3/3 + 4*t**2/3 + 16*t/3 - 3. Let d(p) = 0. Calculate p.
-2, -1, 2
Suppose -4*t + 52 = 16. Suppose -t = -2*d - d. Factor -2*q + q**d + q**2 - q - 1 + 2*q.
(q - 1)*(q + 1)**2
Find r such that -r**2 - 2 + 6 + 2 + 4*r**2 - 9*r = 0.
1, 2
Let k(o) be the third derivative of -5*o**8/112 - 5*o**7/21 - 5*o**6/12 + 25*o**4/24 + 5*o**3/3 - 15*o**2. Suppose k(r) = 0. Calculate r.
-1, 2/3
Let p(v) = 5*v**5 + 24*v**4 - 6*v**3 + 6*v**2 + 6. Let f(u) = -u**4 - u**3 + u**2 + 1. Let t(w) = -6*f(w) + p(w). Factor t(k).
5*k**4*(k + 6)
Let f = -1221 - -1224. Factor 2/5*k + 2/5*k**f + 0 + 4/5*k**2.
2*k*(k + 1)**2/5
Let g(q) = q**2 - 6*q + 3. Let k be g(6). Suppose w**2 + k*w - w**2 + 3*w**2 = 0. What is w?
-1, 0
Let s(p) = p**2 + p - 4. Let q = -6 + 3. Let n be s(q). Suppose 1/3*j**5 + 0 + 0*j**4 + 0*j**n + 0*j**3 + 0*j = 0. What is j?
0
Let m be (4/70)/(192/112). Let y(x) be the third derivative of 0*x**3 + 2*x**2 + 1/100*x**6 + 0 + 0*x + 1/30*x**4 - m*x**5. Determine i, given that y(i) = 0.
0, 2/3, 1
Let x = 1/20 - -1/5. Let b be (1 - (-2)/8) + 0. Factor x*w**3 - 1/2 - w**2 + b*w.
(w - 2)*(w - 1)**2/4
Let v(n) be the first derivative of 4*n**5/5 - 7*n**4 + 24*n**3 - 40*n**2 + 32*n - 10. Find f, given that v(f) = 0.
1, 2
Let o(j) = -j**3 - 21*j**2 - 66*j + 34. Let i be o(-17). Factor -2/7*d**3 + 4/7*d**2 - 2/7*d + i.
-2*d*(d - 1)**2/7
Let a be (-16)/(-20)*15/(15/5). Suppose -a + 4/3*w**2 + 8/3*w = 0. What is w?
-3, 1
Let h(c) = -26*c**2 - 50*c - 24. Let s(k) = 9*k**2 + 17*k + 8. Let u(q) = -5*h(q) - 14*s(q). Factor u(p).
4*(p + 1)*(p + 2)
Let l = 36 - 26. Suppose l*w**2 + 5 + 8*w + 4*w**3 - 2 + 2 - 3 = 0. What is w?
-1, -1/2
Suppose -14 = -20*w + 46. Let -3/7*p**4 + 0*p + 0 + 0*p**w + 3/7*p**2 = 0. Calculate p.
-1, 0, 1
Let b = -273 - -1093/4. Factor 0*g + 0 + 5/4*g**5 + 2*g**4 - 1/2*g**2 + b*g**3.
g**2*(g + 1)**2*(5*g - 2)/4
Let -6/11*y**2 + 10/11*y**3 + 14/11 - 18/11*y = 0. Calculate y.
-7/5, 1
Let j = 3631/9 - 403. Suppose j*p - 2/9*p**4 - 2/9*p**5 + 2/3*p**3 + 10/9*p**2 + 0 = 0. What is p?
-1, 0, 2
Let n be (-9)/4*(-1284)/(-11). Let g = 263 + n. Factor 6/11*v - 2/11*v**2 - g.
-2*(v - 2)*(v - 1)/11
Factor -7/3*r**2 - 1/3*r**3 + 7/3 + 1/3*r.
-(r - 1)*(r + 1)*(r + 7)/3
Let a(r) be the third derivative of r**8/16800 + r**7/3150 + r**6/1800 + r**4/12 + r**2. Let x(u) be the second derivative of a(u). Let x(w) = 0. What is w?
-1, 0
Let y = 2 + -3. Let q = y - -4. Determine m, given that 2*m**5 - 2*m**4 + q*m**4 - 4*m**2 - 2*m + 3*m**4 = 0.
-1, 0, 1
Suppose -5*b + 20 = 3*c + 2*c, -2*c + 11 = 5*b. Let n = c - 0. Let -5*p**3 - 2*p**4 + 4*p**3 + 0 - 3*p**n + 2 + 4*p = 0. What is p?
-1, 1
Let f(m) be the third derivative of 0*m**3 + 0*m - 1/10*m**7 - 3/40*m**6 + 3*m**2 + 7/20*m**5 + 5/112*m**8 + 0 - 1/4*m**4. Let f(p) = 0. What is p?
-1, 0, 2/5, 1
Let o(q) be the third derivative of -q**8/30240 - q**7/1890 - q**6/360 + q**5/20 + 5*q**2. Let w(u) be the third derivative of o(u). Factor w(b).
-2*(b + 1)*(b + 3)/3
Let q(l) be the second derivative of -5*l**7/42 - l**6/3 - l**5/4 + 23*l - 1. Factor q(k).
-5*k**3*(k + 1)**2
Factor -5*z - 2*z - z + 4*z**2.
4*z*(z - 2)
Let n(d) be the first derivative of d**5/50 + d**4/30 - 6*d + 3. Let i(j) be the first derivative of n(j). Suppose i(m) = 0. What is m?
-1, 0
Factor 6 + 8*s + 2*s**3 + s**3 + 7*s + 7*s**2 + 5*s**2.
3*(s + 1)**2*(s + 2)
Let u be (-6)/(-2)*(20/(-6))/(-5). Factor 1/5*n**u + 0*n + 0*n**3 + 0 - 1/5*n**4.
-n**2*(n - 1)*(n + 1)/5
Let f be (2/5 - (-20)/(-50))/3. What is g in f + 0*g + 1/2*g**4 - g**3 + 1/2*g**2 = 0?
0, 1
Factor 1/7*m**3 + 2/7 + 4/7*m**2 + 5/7*m.
(m + 1)**2*(m + 2)/7
Let d(v) be the second derivative of -v**6/40 + 3*v**5/80 + v**4/16 - v**3/8 - 4*v. Factor d(g).
-3*g*(g - 1)**2*(g + 1)/4
Let c(y) be the first derivative of 1/7*y**2 - 1/14*y**4 - 3 + 2/7*y - 2/21*y**3. Solve c(l) = 0.
-1, 1
Let m(g) = g**2 + 1. Let h(s) = 4*s**2 - 21*s + 3. Let t(j) = -h(j) + 3*m(j). Let u be t(21). Determine w so that u + 2/3*w**2 + 0*w = 0.
0
Factor 0 + 2/3*h**4 - 2/3*h**2 + 0*h + 2/3*h**3 - 2/3*h**5.
-2*h**2*(h - 1)**2*(h + 1)/3
Let v(i) be the first derivative of -i**4/8 - 2*i**3/3 - i**2 - 8. Factor v(x).
-x*(x + 2)**2/2
Let c(t) be the second derivative of t**4/42 - t**3/7 + 6*t. Factor c(k).
2*k*(k - 3)/7
Let q(m) be the third derivative of m**9/37800 - m**4/12 - 2*m**2. Let h(o) be the second derivative of q(o). Factor h(z).
2*z**4/5
Let c be (-6)/21 + 4/14 - -4. Solve 0*r**2 + 2/5*r**3 + 2/5*r**5 + 4/5*r**c + 0 + 0*r = 0 for r.
-1, 0
Let f(b) = b**2 - 7*b + 5. Let s be f(6). Let t(a) = 2*a**2 + 3*a + 3. Let p be t(s). Factor -3/5*m**p - 6/5 - 9/5*m.
-3*(m + 1)*(m + 2)/5
Let k be ((-8)/(-14) + 12/(-21))/(-2). Factor -1/2*u + 0 + u**3 - 1/2*u**5 + 0*u**4 + k*u**2.
-u*(u - 1)**2*(u + 1)**2/2
Let 0*h**3 + 0 + 1/2*h**4 + 0*h - 1/2*h**2 = 0. Calculate h.
-1, 0, 1
Let n(u) = -u + 7. Suppose -l = -15 + 8. Let g be n(l). Factor -2/9*c - 2/9*c**2 + g.
-2*c*(c + 1)/9
Let b(k) be the first derivative of -k**5/25 + k**3/5 - k**2/5 + 10. Factor b(i).
-i*(i - 1)**2*(i + 2)/5
Let c(s) be the third derivative of -s**6/60 + s**4/12 - 17*s**2. Suppose c(w) = 0. Calculate w.
-1, 0, 1
Let l = -56 - -61. Let i(z) be the second derivative of -2/21*z**3 - 1/35*z**6 - 4/35*z**l - 1/6*z**4 + 0 + 0*z**2 + z. Factor i(h).
-2*h*(h + 1)**2*(3*h + 2)/7
Let r(l) be the third derivative of -l**5/300 + l**3/30 + 6*l**2. Determine m so that r(m) = 0.
-1, 1
Let m(u) be the third derivative of u**8/7560 - u**7/3780 + 2*u**3/3 + u**2. Let v(w) be the first derivative of m(w). Factor v(c).
2*c**3*(c - 1)/9
Let z be (-4)/(-14) + 34/(-119). Let i(y) be the third derivative of 1/120*y**4 + 1/150*y**5 - y**2 + 0*y**3 + z*y + 0. Factor i(p).
p*(2*p + 1)/5
Suppose -12 = 4*u - 28. Let f(l) be the third derivative of 0 + 0*l**3 - l**2 - 1/6*l**u + 1/30*l**5 + 0*l. Factor f(p).
2*p*(p - 2)
Let h be ((-15)/(-25))/(5/25). Factor -1/2*y**h + 0*y + 1/4*y**2 + 1/4*y**4 + 0.
y**2*(y - 1)**2/4
Factor 2/3*b**3 + 8/5 - 16/3*b + 46/15*b**2.
2*(b - 1)*(b + 6)*(5*b - 2)/15
Factor 0*k**2 - 2/7 + 2/7*k**4 - 4/7*k**3 + 4/7*k.
2*(k - 1)**3*(k + 1)/7
Determine a so that -5/2*a