5*a(w) + 5*b(w). Factor i(n).
5*(n + 1)*(n + 2)
Let b(m) be the second derivative of 1/3*m**3 - 2*m + 0 + 1/15*m**6 - 1/6*m**4 - 1/10*m**5 + 0*m**2. Solve b(u) = 0.
-1, 0, 1
Suppose 5*o - 25 = 2*s, -3*s + 5 = 4*o - 3*o. Suppose 7*q - 2*q - 25 = s. Factor q*l - 5*l**2 - 2*l - l.
-l*(5*l - 2)
Let b be (3 + (-27)/12)/(18/8). Factor 0 - 2/3*f + b*f**2.
f*(f - 2)/3
Suppose 0*l - 2*l - v - 1 = 0, -28 = -4*l + 4*v. Suppose l*y = -y + 9. Factor -3 - 6*n**5 - 6*n**5 - 51*n**4 - 81*n**2 - 24*n + 15*n**2 - 73*n**y - 11*n**3.
-3*(n + 1)**4*(4*n + 1)
Let q(y) be the first derivative of y**3/3 - y + 3. Suppose q(t) = 0. Calculate t.
-1, 1
What is u in 2/7*u - 4/7 + 2/7*u**2 = 0?
-2, 1
Let n be (-6)/(-27) - (-2)/(-9). Factor -4*c**3 + 5*c**3 + n*c**3 + c**2 + c + c**2.
c*(c + 1)**2
Factor -3/2*j**3 + 3/2*j + 3 - 3*j**2.
-3*(j - 1)*(j + 1)*(j + 2)/2
Let s = 75 - 374/5. Let f(y) be the first derivative of -2 + 0*y + 1/5*y**4 + 2/5*y**3 + s*y**2. Factor f(j).
2*j*(j + 1)*(2*j + 1)/5
Let p(u) be the third derivative of -u**5/30 + u**4/4 - 10*u**2. What is i in p(i) = 0?
0, 3
Let b(p) = -3*p**2 - 6*p - 3. Let t(l) = 5*l**2 + 11*l + 5. Let c(y) = -6*y - y + 3*y. Let i be c(-1). Let h(s) = i*t(s) + 7*b(s). Factor h(d).
-(d - 1)**2
Let k(h) be the third derivative of -h**9/181440 + h**8/20160 - h**7/7560 - h**5/20 - h**2. Let a(m) be the third derivative of k(m). Factor a(l).
-l*(l - 2)*(l - 1)/3
Let c be (3 - -1) + (-2)/(-2). Let u = c - 3. Let -k**2 + 0*k**2 - u*k + 0*k**2 - 1 = 0. Calculate k.
-1
Let l(q) = 26*q**3 - 30*q**2 + 4*q - 16. Let f(y) = 5*y**3 - 6*y**2 + y - 3. Let x(h) = -16*f(h) + 3*l(h). Find k, given that x(k) = 0.
0, 1, 2
Let r = 0 - -3. Let c(n) be the first derivative of -10*n**3 + 2*n**3 - 3 + 9*n**r. Factor c(j).
3*j**2
Let u(q) be the first derivative of -q**4/22 - 8*q**3/11 - 36*q**2/11 + 3. Factor u(v).
-2*v*(v + 6)**2/11
Let p(g) be the third derivative of g**8/1680 + g**7/1050 - g**6/300 + g**2 + 43. Solve p(n) = 0.
-2, 0, 1
Suppose 4 = 2*f + 5*z, -2*z + 6*z = 0. Find t, given that -3*t**3 + 2*t**3 - f*t**3 - t - 4*t**2 = 0.
-1, -1/3, 0
Suppose 0 = -l - 4 + 8. Let b(w) be the third derivative of 1/150*w**5 - 2/15*w**3 + 0*w - 3*w**2 + 0 - 1/60*w**l. Factor b(n).
2*(n - 2)*(n + 1)/5
Suppose 0 = 4*q - 26 + 10. Let y(u) be the first derivative of 2 + 0*u + 1/6*u**6 + 0*u**5 + 1/2*u**2 + 0*u**3 - 1/2*u**q. Factor y(r).
r*(r - 1)**2*(r + 1)**2
Factor -8/7*i + 24/7*i**2 - 2/7*i**5 + 12/7*i**4 + 0 - 26/7*i**3.
-2*i*(i - 2)**2*(i - 1)**2/7
Let l(y) be the first derivative of -3*y**5/10 + 2*y**4/3 - y**3/3 - 3*y - 1. Let j(m) be the first derivative of l(m). Solve j(s) = 0.
0, 1/3, 1
Determine w so that 17*w**2 - 12*w**3 - 10*w**2 - 16*w**4 + 29*w**2 - 8*w = 0.
-2, 0, 1/4, 1
Let c(f) be the first derivative of f**6/15 - 3*f**5/10 + f**4/3 + 5*f - 8. Let u(w) be the first derivative of c(w). Factor u(x).
2*x**2*(x - 2)*(x - 1)
Let u(j) be the third derivative of -j**5/20 + 13*j**4/4 - 169*j**3/2 + 25*j**2. Suppose u(d) = 0. What is d?
13
Let j be 2/4 + (-45)/(-10). Suppose -j*d - 4 + 29 = 0. Factor 4 + d*p**2 - 2*p**2 + 3*p**2 - 10*p.
2*(p - 1)*(3*p - 2)
Let u(m) be the second derivative of m**4/4 - 2*m**3 + 9*m**2/2 - 12*m. Factor u(j).
3*(j - 3)*(j - 1)
Let w be (3 - 2/(-2))*1. Let h(i) be the third derivative of 0 - 1/20*i**5 + 0*i - 1/4*i**w - 2*i**2 + 3/2*i**3. Let h(r) = 0. Calculate r.
-3, 1
Let z(f) be the first derivative of f**3/3 + f**2 - 4*f - 2. Let n be z(-4). Factor 0 - 6/5*h**3 - 6/5*h**2 - 2/5*h - 2/5*h**n.
-2*h*(h + 1)**3/5
Let z(i) be the first derivative of 25*i**4/7 + 80*i**3/21 + 8*i**2/7 + 9. Suppose z(d) = 0. What is d?
-2/5, 0
Let k(p) be the first derivative of 2*p**3/21 - p**2/7 - 4*p/7 - 4. Factor k(t).
2*(t - 2)*(t + 1)/7
Factor -4 - 44*i**3 + 62*i**2 + 10*i**4 + 36*i + 12 - 76*i + 4*i**2.
2*(i - 2)*(i - 1)**2*(5*i - 2)
Suppose -1 = 3*g - 16. Suppose y - 5*y = -g*h + 5, 3*y - 3*h = -3. Find u, given that 2 + y - 2*u**4 - u**2 - 3*u + 3*u**3 + 0*u**4 + u**4 = 0.
-1, 1, 2
Factor 0 - 1/4*n**2 + 1/4*n.
-n*(n - 1)/4
Let l(v) be the first derivative of v**6/3 + 16*v**5/5 + 13*v**4/2 - 44*v**3/3 - 32*v**2 + 64*v - 28. Determine f so that l(f) = 0.
-4, -2, 1
Suppose 5*n - n = 0. Let f(v) be the first derivative of -1 - v**2 + n*v + 2/3*v**3. Find t such that f(t) = 0.
0, 1
Factor 2*a + 0*a**2 - 3*a + 5*a**2 + 6*a.
5*a*(a + 1)
Let r(o) = -o + 1. Let v be r(-7). Suppose 3*q + 16 = 3*l - v*l, 4*l = 2*q - 26. Factor 2/7*h**4 + 0*h**q + 0 + 0*h - 2/7*h**2.
2*h**2*(h - 1)*(h + 1)/7
Let h(c) = -3*c**5 + 3*c**4 - 5*c**3 - 3*c**2 + 4*c - 4. Let f(n) = 8*n**5 - 8*n**4 + 14*n**3 + 8*n**2 - 11*n + 11. Let s(g) = -4*f(g) - 11*h(g). Factor s(d).
d**2*(d - 1)**2*(d + 1)
Suppose 5*s + 2*o = 8, -s - 2*s + 4 = 2*o. Suppose -k - 14 + 6 = -3*y, s*y = k + 5. Factor -a**3 + a**5 + 3*a**y + a + 4*a**2 + 4*a**3 + 4*a**4.
a*(a + 1)**4
Let j(k) = k**2 - 4*k + 5. Let i(l) = -3*l**2 + 8*l - 10. Let n(g) = -2*i(g) - 5*j(g). Let n(u) = 0. Calculate u.
-5, 1
Let r(c) = -c + 1. Suppose -f + 1 = 4. Let o be r(f). Factor -o*z**3 + 4*z - 2*z**2 + 2*z**3 - 4*z**3.
-2*z*(z + 1)*(3*z - 2)
Let c(t) be the first derivative of 0*t**2 + 1/3*t**4 + 1/180*t**6 + 2/3*t**3 + 0*t + 2 + 1/15*t**5. Let v(p) be the third derivative of c(p). Factor v(w).
2*(w + 2)**2
Let m(k) be the first derivative of -1/21*k**3 - 1/42*k**4 + 0*k**2 + 2 - 3*k. Let a(q) be the first derivative of m(q). Find n such that a(n) = 0.
-1, 0
Let z(y) be the second derivative of y**6/30 + y**5/5 + y**4/4 - 2*y**3/3 - 2*y**2 + 8*y. Suppose z(n) = 0. What is n?
-2, -1, 1
Let f(y) be the third derivative of 0*y**4 + 0*y**5 + 0*y + 0*y**3 + 5*y**2 - 1/120*y**6 + 0 + 1/210*y**7. Determine z, given that f(z) = 0.
0, 1
Suppose 3*t = 3 + 6. Suppose b = t*b - 4. Factor 2*x**b - 1 - 2*x + 1 + 0*x**2.
2*x*(x - 1)
Let f(b) be the first derivative of b**4/4 - 3*b**2/2 + 2*b - 8. Find d such that f(d) = 0.
-2, 1
Let s(j) = -j**2 - j + 1. Let q = 19 + -25. Let f(x) = 7*x**2 + 5*x - 8. Let h(p) = q*s(p) - f(p). Solve h(b) = 0 for b.
-1, 2
Suppose 38 = 5*h - 2*g + 8, 3*h - 3*g - 27 = 0. Suppose -3*m + 5*a - 3*a + 2 = 0, h*m + 9 = 5*a. Factor -x**3 - x**4 + 4*x**2 - m*x**2.
-x**3*(x + 1)
Let s(r) be the third derivative of 4*r**2 + 0*r + 0*r**3 + 0 - 1/1344*r**8 + 0*r**5 + 0*r**4 - 1/840*r**7 + 0*r**6. Find i such that s(i) = 0.
-1, 0
Suppose -5/2*f**3 + 5/2*f + 5/4 + 0*f**2 - 5/4*f**4 = 0. What is f?
-1, 1
Suppose 0 = -7*c + 4*c. Let r = -468 + 3282/7. Find p such that 4/7*p - r*p**2 + c = 0.
0, 2/3
Suppose 5*l = 32 - 32. Factor -1/3*p**3 + 1/3*p**2 - 1/3*p**4 + l + 1/3*p.
-p*(p - 1)*(p + 1)**2/3
Let i = -47 - -2821/60. Let o(p) be the third derivative of i*p**6 + 0*p**4 + 0 + 3*p**2 + 0*p**3 + 0*p**5 - 1/105*p**7 + 0*p. Factor o(l).
-2*l**3*(l - 1)
Let j be -1 + 3 + 2 - 4. Suppose -5*a + 0*a - 2*m + 20 = j, 0 = -5*a + 2*m. Factor 0 - 1/4*d**4 + 0*d + 0*d**a + 1/4*d**3.
-d**3*(d - 1)/4
Let z(m) be the first derivative of 2*m**3/57 + 5*m**2/19 + 8*m/19 - 9. Find f such that z(f) = 0.
-4, -1
Let c(b) = b**4 + 2*b**3 + 5*b**2 + 4*b + 6. Let s(o) = 2*o**3 + 5*o**2 + 3*o + 5. Let y(k) = 5*c(k) - 6*s(k). Factor y(x).
x*(x - 1)*(x + 1)*(5*x - 2)
Let n(c) be the first derivative of c**5/30 - c**3/9 + c/6 - 14. Find w such that n(w) = 0.
-1, 1
Let r(b) be the third derivative of 0 - 1/420*b**7 + 0*b**4 + 0*b + 2*b**2 - 1/96*b**6 - 1/240*b**5 + 0*b**3 + 1/168*b**8. Suppose r(i) = 0. Calculate i.
-1/2, -1/4, 0, 1
Suppose 5*b - 25 = -5. Let o(s) be the third derivative of 0*s + 1/12*s**5 + 1/120*s**6 - 1/70*s**7 - 1/3*s**3 - 1/24*s**b + 2*s**2 + 0. What is h in o(h) = 0?
-1, -2/3, 1
Let k(p) be the first derivative of 20*p**3/9 - 14*p**2/3 + 8*p/3 - 11. Factor k(w).
4*(w - 1)*(5*w - 2)/3
Let m = -14 + 17. Let b(a) be the first derivative of -3/2*a**2 - a**m + 2 + 2*a - 3/5*a**5 + 7/4*a**4. Factor b(w).
-(w - 1)**3*(3*w + 2)
Let u(c) = -c. Let d be u(0). Suppose -k + d + 2 = 0. Suppose 16/3*w**k - 4/3 - 2/3*w - 10/3*w**3 = 0. Calculate w.
-2/5, 1
Determine g so that -39*g**2 - g**2 - 559*g - 15*g**3 + 539*g = 0.
-2, -2/3, 0
Let i be 5 + -2 - (2 - 3). Find z such that 13*z**4 + 3*z**5 - 3*z**i + 20*z**2 + 10*z + 20*z**3 - z**5 + 2 = 0.
-1
Let i be (-110)/(-132) + 5/(-6). Let -1/3*t**2 + i + 1/3*t = 0. What is t?
0, 1
Let k(c) =