in w(s) = 0?
-1, -2/7
Let f(t) be the first derivative of t**6/12 + t**5/2 + t**4 + 2*t**3/3 - 1. Determine w, given that f(w) = 0.
-2, -1, 0
Let m(z) = -z**3 - 9*z**2 - 10*z - 12. Let u be m(-8). Factor 8/9*o**2 + 2/9*o**5 + 2/9*o + 0 + 8/9*o**u + 4/3*o**3.
2*o*(o + 1)**4/9
Let d(f) be the second derivative of -f**7/1155 - f**6/660 + f**2 + f. Let j(m) be the first derivative of d(m). Factor j(z).
-2*z**3*(z + 1)/11
Let c(b) = 8*b**2 - 14*b - 14. Let n(v) = v**2 - 1. Let j(i) = -c(i) + 2*n(i). Suppose j(t) = 0. Calculate t.
-2/3, 3
Let g(t) be the third derivative of 2*t**2 + 1/180*t**5 + 0 - 1/90*t**6 - 1/18*t**3 + 1/18*t**4 + 0*t. Let g(b) = 0. What is b?
-1, 1/4, 1
Let m = -10118/7 - -1448. Let m*v**4 + 2*v**5 - 82/7*v**2 - 48/7*v - 38/7*v**3 - 8/7 = 0. What is v?
-1, -2/7, 2
Let j(p) = 5*p**4 - 5*p**3 - 3*p**2 - p - 2. Let y(i) = -4*i**4 + 4*i**3 + 2*i**2 + i + 2. Let t(b) = -5*j(b) - 6*y(b). Find d such that t(d) = 0.
-1, 1, 2
Let g(p) be the second derivative of -p**6/90 - p**5/60 + p**4/18 + 4*p. Let g(m) = 0. What is m?
-2, 0, 1
Let s(n) be the third derivative of n**9/181440 - n**8/60480 - n**7/7560 - n**5/20 + 4*n**2. Let x(l) be the third derivative of s(l). Factor x(v).
v*(v - 2)*(v + 1)/3
Factor 0*j**3 - 3*j**3 - 3 - 3 + 22*j**2 + 3*j - 3*j**4 - 13*j**2.
-3*(j - 1)**2*(j + 1)*(j + 2)
Let k(m) be the second derivative of m**8/8400 + m**7/1400 + m**6/900 - m**3 - 4*m. Let y(x) be the second derivative of k(x). Factor y(u).
u**2*(u + 1)*(u + 2)/5
Find h such that 0*h**4 + 0*h - 1/3*h**5 + 1/3*h**3 + 0*h**2 + 0 = 0.
-1, 0, 1
Let s(v) = 2*v + 2. Let g be s(-5). Let d = g + 8. Factor -4/3*r**4 + d - 2*r**3 - 1/3*r - 4/3*r**2 - 1/3*r**5.
-r*(r + 1)**4/3
Suppose -12/5*b**2 + 6/5 - 21/5*b = 0. What is b?
-2, 1/4
Let n = -565/9 - -63. Determine t so that 2/9*t**2 + 0*t - n = 0.
-1, 1
Let a(q) be the second derivative of 1/9*q**3 + 0 + 0*q**2 - 1/12*q**4 + 1/60*q**5 - q. Let a(k) = 0. Calculate k.
0, 1, 2
Let t = -50/9 + 404/63. Solve -2/7*a - 6/7*a**3 - t*a**2 - 2/7*a**4 + 0 = 0.
-1, 0
Let v(u) = -u**2 + u + 1. Let i be v(0). Factor 3 - 4 + 3*y**2 - 3*y + i.
3*y*(y - 1)
Suppose 2*w + 13 = 3*i, -3 - 18 = -5*i + 4*w. Factor 0*a + 0 + 5/3*a**i - 2/3*a**2 + 1/3*a**3 + 8/3*a**4.
a**2*(a + 1)**2*(5*a - 2)/3
Let f(i) be the first derivative of -i**5/5 - 3*i**4/4 - i**3 - i**2/2 + 5. Factor f(z).
-z*(z + 1)**3
Let g be 44/11 - 4/1. Let f(i) be the third derivative of -3*i**2 + 0*i**4 + 0*i - 1/330*i**5 + g + 1/660*i**6 + 0*i**3. Factor f(p).
2*p**2*(p - 1)/11
Factor -16*d**3 + 16*d**4 - d**5 - 6*d**2 + 2*d**5 - 5*d**5 - 8 - 2*d**2 + 20*d.
-4*(d - 2)*(d - 1)**3*(d + 1)
Let a(h) = -4*h**2 - h**3 + 7*h**2 + 9*h + 4*h**2 + 8*h**3. Let u(n) = 3*n**3 + 3*n**2 + 4*n. Let s(k) = 4*a(k) - 9*u(k). Factor s(v).
v**2*(v + 1)
Let d = -1507/3 - -510. Let t = -19/3 + d. Factor t + 2/3*a**2 - 2*a.
2*(a - 2)*(a - 1)/3
Let s(l) = -10*l**3 + 2*l**2 + 14*l - 6. Let b(k) = -11*k**3 + 3*k**2 + 13*k - 5. Let h(r) = 6*b(r) - 7*s(r). Determine q, given that h(q) = 0.
-3, 1
Let f = -142 + 146. Let x(c) be the third derivative of -1/200*c**6 + 2*c**2 + 0 - 1/25*c**5 - 1/5*c**3 - 1/8*c**f + 0*c. Factor x(h).
-3*(h + 1)**2*(h + 2)/5
Let z(l) be the first derivative of l**5/90 - 2*l**2 + 4. Let d(k) be the second derivative of z(k). Let d(q) = 0. Calculate q.
0
Let l(h) be the third derivative of -7*h**6/30 + 3*h**5/5 - h**4/3 + 12*h**2. Solve l(d) = 0 for d.
0, 2/7, 1
Let g(d) be the third derivative of -1/175*d**7 + 17/300*d**6 + 0*d - 2/15*d**4 + 7/150*d**5 + 0 - 4/15*d**3 - 2*d**2 - 3/280*d**8. Let g(l) = 0. What is l?
-1, -2/3, 1
Factor -22*q**5 - 102*q**3 - 72*q**4 - 24*q**2 + 36*q**3 - 5*q**5 - 3*q.
-3*q*(q + 1)**2*(3*q + 1)**2
Suppose -3*z - 9 = -4*f, 4*z = f - 2*f - 12. Let x(o) be the first derivative of 0*o**2 + 1/3*o**3 + f*o - 1/2*o**4 - 2 + 1/5*o**5. Factor x(j).
j**2*(j - 1)**2
Let k(w) be the third derivative of -w**6/120 + w**5/20 + 20*w**2. Factor k(h).
-h**2*(h - 3)
Let f(p) be the first derivative of -25*p**6/9 - 2*p**5/3 + 41*p**4/6 + 2*p**3/9 - 16*p**2/3 + 8*p/3 + 37. Find w, given that f(w) = 0.
-1, 2/5, 1
Let k(h) be the third derivative of h**5/30 - h**4/12 - 10*h**2. Solve k(i) = 0 for i.
0, 1
Let q(u) be the first derivative of u**6/18 - 2*u**5/15 + u**4/12 - 7. Factor q(w).
w**3*(w - 1)**2/3
Let o(v) = -4*v**4 - 17*v**3 - 9*v**2 + 5*v + 7. Let m(k) = 4*k**4 + 18*k**3 + 8*k**2 - 6*k - 8. Let t(s) = 3*m(s) + 4*o(s). Determine g, given that t(g) = 0.
-2, -1, 1/2
Let n be 32/(-28) + 88/28. Determine i, given that 2/7*i**n + 0 + 4/7*i = 0.
-2, 0
Let j(h) be the second derivative of 3*h**6/55 - 12*h**5/55 - 4*h**4/33 + 32*h**3/33 + 16*h**2/11 + 4*h. Factor j(d).
2*(d - 2)**2*(3*d + 2)**2/11
Let r(v) be the third derivative of 1/210*v**7 + 0*v**5 + 0*v**3 + 1/120*v**6 + 0*v**4 + 5*v**2 + 0*v + 0. Suppose r(g) = 0. What is g?
-1, 0
Let o(v) be the second derivative of -1/3*v**3 + 0 + 1/6*v**4 + 1/10*v**5 - v**2 - 4*v. Determine f, given that o(f) = 0.
-1, 1
Let u(m) be the third derivative of 1/40*m**5 + 3/8*m**4 + 0*m - m**2 + 0 + 9/4*m**3. Solve u(z) = 0 for z.
-3
Suppose -1/4*s**3 - 1/4*s**2 + 1/4*s**4 + 1/4*s + 0 = 0. What is s?
-1, 0, 1
Let k(b) = b**5 + b**4 - b**3 - b + 1. Let d = -5 + 8. Let r(o) = 2*o**5 + 2*o**4 - 2*o**3 - o**2 - o + 1. Let p(g) = d*r(g) - 3*k(g). Solve p(m) = 0 for m.
-1, 0, 1
Let w(x) be the second derivative of 0*x**2 + 0*x**3 + 1/15*x**4 + 0 + 3*x - 7/50*x**5. Suppose w(i) = 0. What is i?
0, 2/7
Let v(z) = -z**2 - 7*z - 7. Let o be v(-8). Let d be ((-3)/2)/(o/20). Suppose -2/9*a**d - 4/9*a - 2/9 = 0. What is a?
-1
Let n be 1/10*(2 + 0). Let i be ((-2)/12)/(15/(-18)). Let -n*j**2 + i + 0*j = 0. Calculate j.
-1, 1
Suppose -6 = 5*a + 19, -5*k = -4*a - 20. Determine f, given that 1/2*f + k*f**2 + 0 - 1/2*f**3 = 0.
-1, 0, 1
Let h = 168 + -1174/7. Factor -2/7*n**5 - 2/7*n**4 + 2/7*n**3 + 0 + 0*n + h*n**2.
-2*n**2*(n - 1)*(n + 1)**2/7
Let w(v) be the first derivative of -v**4/20 - 3*v**3/5 + 39. Factor w(q).
-q**2*(q + 9)/5
Solve 10*w - 12 + 9*w - 4*w**2 - 35*w = 0 for w.
-3, -1
Let z = 17 - 14. Let j(h) be the second derivative of 1/3*h**z - 1/10*h**5 + 1/15*h**4 + h + 0 - 2/5*h**2. Solve j(v) = 0.
-1, 2/5, 1
Let k be 5/(-2)*1*-2. Factor -21*j**4 + 5*j**3 + 20*j**5 - k*j**5 + j**3.
3*j**3*(j - 1)*(5*j - 2)
Find p such that 2*p**5 + 3/2*p**2 + 0 - 3/2*p**4 + 1/2*p - 5/2*p**3 = 0.
-1, -1/4, 0, 1
Let r = -3550 - -7275/2. Let t = -86 + r. Factor -3/2*u**2 + 0 - t*u.
-3*u*(u + 1)/2
Let s be (4/(-10))/((-38)/190). Let j be 1/2 + 7/10. Solve 4/5 + 2/5*o**s + j*o = 0.
-2, -1
Suppose -c - 5*z - 10 = -2*c, 2*z = c - 4. Let g(r) be the first derivative of c*r - 1/8*r**2 - 1/6*r**3 - 1 - 1/16*r**4. Find o such that g(o) = 0.
-1, 0
Let c be (3 - (-2 + 4)) + -3. Let y be (-2 - -5)/(c/(-2)). Factor 2/5 + 14/5*s**2 - 6/5*s**y - 2*s.
-2*(s - 1)**2*(3*s - 1)/5
Factor -33*o**3 - 24 - 86*o**2 + 18*o**2 - 68*o - 4*o**4 + 5*o**3.
-4*(o + 1)**2*(o + 2)*(o + 3)
Let o(q) be the second derivative of -7*q**5/5 - 18*q**4 - 64*q**3 + 64*q**2 - 13*q + 1. Factor o(k).
-4*(k + 4)**2*(7*k - 2)
Let f(z) = 10*z + 1. Let d be f(1). Suppose 0 = -5*v + d + 14. Factor 0*b**2 + 2*b**2 - b**v - 3*b**4 + b**4 + b.
-b*(b - 1)*(b + 1)**3
Let w(o) be the second derivative of 5*o**4/12 - 5*o**3/2 - 10*o**2 - 2*o. Suppose w(p) = 0. Calculate p.
-1, 4
Let b = -4 - -5. Let i(g) = -4*g**4 - 7*g**3 - 6*g**2 - g + 2. Let f(v) = v**4 + v**3 - v - 1. Let x(h) = b*i(h) + 3*f(h). Factor x(u).
-(u + 1)**4
Let o(i) = i**3 + 4*i**2 + 4*i + 2. Let d be o(-2). Factor -4/11 - 6/11*q - 2/11*q**d.
-2*(q + 1)*(q + 2)/11
Let n = -33 - -69/2. Let l(r) be the first derivative of -3 - 2*r + n*r**2 + 2/3*r**3. Factor l(i).
(i + 2)*(2*i - 1)
Let v = -3/2211365 + 13801129427/340550210. Let y = v + -2/77. Factor 2 + y*f**2 - 18*f.
(9*f - 2)**2/2
Let g be 14/91 - 158/182. Let v = 1 + g. Determine u so that -12/7*u**2 - 8/7*u - 8/7*u**3 - v*u**4 - 2/7 = 0.
-1
Let z(d) = d**3 + 5*d**2 - 2*d - 2. Let p be z(-5). Suppose -s + p = s. Find h, given that 10*h + s*h**2 - 4*h - h**2 = 0.
-2, 0
Let m(g) be the second derivative of -g**7/77 + g**6/15 - g**5/10 + g**4/66 + 2*g**3/33 - 9*g. Let m(p) = 0. Calculate p.
-1/3, 0, 1, 2
Let d(c) = 5*c**2 - 15*c + 11. Let h(x) = -11*x**2 + 31*x - 22. Let q(p) = 13*d(p) 