ive of a**7/315 - a**6/2520 - a**5/210 - a**4/12 + a. Let n(w) be the third derivative of d(w). Factor n(m).
2*(4*m + 1)*(7*m - 2)/7
Suppose 2*z - j = 4*j + 14, 4*z = 4*j + 16. Let d(b) be the first derivative of 1/4*b + 1/4*b**2 - 1/20*b**5 - 1/8*b**4 + 0*b**3 - z. Factor d(q).
-(q - 1)*(q + 1)**3/4
Let q(v) be the second derivative of 5*v**7/42 - v**5/2 + 5*v**3/6 + 7*v. Determine z so that q(z) = 0.
-1, 0, 1
Let w(n) be the third derivative of 2/105*n**7 - 1/30*n**6 + 0*n**3 - 1/15*n**5 + 0*n**4 + 0*n - 5*n**2 + 0 + 1/84*n**8. Factor w(z).
4*z**2*(z - 1)*(z + 1)**2
Let b(q) be the second derivative of -q**6/105 + q**5/35 + q**4/14 - 8*q**3/21 + 4*q**2/7 - 6*q. Solve b(c) = 0 for c.
-2, 1, 2
Let p(i) = -i - 3. Let w be p(-6). Let t be ((-1)/(-1))/(w/2). Find d, given that -d**2 + 0*d + t*d**3 + 1/3 = 0.
-1/2, 1
Let z(m) be the first derivative of 2 - 1/18*m**6 + 1/8*m**4 + 0*m**2 + 1/10*m**5 - 1/9*m**3 + 0*m. Determine c, given that z(c) = 0.
-1, 0, 1/2, 2
Let h(b) be the first derivative of -b**8/5040 - b**7/1260 + b**6/1080 + b**5/180 + 4*b**3/3 - 1. Let t(d) be the third derivative of h(d). Factor t(s).
-s*(s - 1)*(s + 1)*(s + 2)/3
Factor -12*j**2 - 12*j**2 + 10*j**3 - 6*j**3 + 36*j.
4*j*(j - 3)**2
Let l(f) be the third derivative of 0 + 1/180*f**5 + 1/72*f**4 + 0*f - 1/360*f**6 + 2*f**2 - 1/18*f**3. Factor l(q).
-(q - 1)**2*(q + 1)/3
Let f(p) be the second derivative of -3*p**5/20 - 9*p**4/4 - 10*p. Factor f(h).
-3*h**2*(h + 9)
Let u(c) = c**2 - 24*c. Let g(h) = -12*h. Let f(k) = 9*g(k) - 4*u(k). Factor f(o).
-4*o*(o + 3)
Let a(f) be the third derivative of 0*f - 4/27*f**3 + 5/189*f**7 + 1/27*f**6 - 7/90*f**5 + 0 - 5/27*f**4 + 4*f**2. Suppose a(v) = 0. What is v?
-1, -2/5, 1
Let r be (-4)/6 - (-22)/33. Let b(j) be the third derivative of 0 + 0*j**3 + r*j - 1/30*j**5 + 1/12*j**4 + j**2. Let b(o) = 0. What is o?
0, 1
Let n(u) be the third derivative of u**9/60480 + u**8/10080 + u**7/5040 - u**5/60 + 2*u**2. Let o(z) be the third derivative of n(z). What is y in o(y) = 0?
-1, 0
Let n = 8 + -4. Let p(t) = -7*t + 6 + n*t**2 + 12*t**2 - 3*t. Let a(s) = -47*s**2 + 29*s - 17. Let u(m) = 6*a(m) + 17*p(m). Find b, given that u(b) = 0.
0, 2/5
Let f(a) = -14*a**2 + 6*a - 10. Let u(j) = j**2 - j + 1. Suppose 0 = -4*m + 2*m + 5*l - 5, 2*l = 4*m - 30. Let g(i) = m*u(i) + f(i). Find n such that g(n) = 0.
-1, 0
Let v(n) be the first derivative of -2*n**6/5 + 14*n**5/25 + n**4/2 - 14*n**3/15 + n**2/5 + 14. Find i, given that v(i) = 0.
-1, 0, 1/6, 1
Let q = 10 + -7. Let w be (3 + -1)*4/16. Factor -1/4*o**5 - 1/4 - 1/4*o + w*o**q - 1/4*o**4 + 1/2*o**2.
-(o - 1)**2*(o + 1)**3/4
Let u(p) = -p**3 + 5*p**2 - 5*p - 2. Let f be u(4). Let k = -4 - f. Factor -4/7 + 2/7*h**k + 2/7*h.
2*(h - 1)*(h + 2)/7
Suppose 0 = 199*n - 216*n + 68. Factor 0*j**2 - 1/6*j**n + 0 + 0*j + 0*j**3.
-j**4/6
Find g, given that -14 + 4*g**2 - 5*g - 2*g**2 + 32 - 7*g = 0.
3
Let g(q) = -2*q - 2. Let k be g(-2). Factor -4*m**2 + 2 + k*m**2 + m**2 + 0*m**2 + m.
-(m - 2)*(m + 1)
Suppose 3*t - 20 - 43 = 0. Find c such that -9*c + 6 - t*c + 21*c**2 + 3*c = 0.
2/7, 1
Let o(d) = 5*d**2 - 16*d - 45. Let c be o(5). Find j, given that c + 2/9*j**3 + 0*j + 0*j**2 - 2/9*j**4 = 0.
0, 1
Let d be (-6)/4*12/(-9). Let l be 18/(-36) - 30/(-28). Factor 0*u**d - 2/7*u**5 + l*u**3 - 2/7*u + 0*u**4 + 0.
-2*u*(u - 1)**2*(u + 1)**2/7
Suppose -2*h + 3*z + 1 = -8, 5*z + 20 = 5*h. Factor 0 - 1/3*j**h + 1/3*j + 0*j**2.
-j*(j - 1)*(j + 1)/3
Let q(k) = -k**3 + 4*k**2 + k - 9. Let v(i) = 2*i**3 - 10*i**2 - 2*i + 22. Let g(p) = 12*q(p) + 5*v(p). Factor g(f).
-2*(f - 1)*(f + 1)**2
Let i(m) = -m**3 - 5*m**2 - 5*m. Let f be i(-4). Let -28*s - 3*s**3 - 3*s**f + 28*s = 0. What is s?
-1, 0
Let f(j) be the third derivative of -j**5/150 + j**4/60 + 2*j**3/15 + 2*j**2. Factor f(n).
-2*(n - 2)*(n + 1)/5
Let m = -83347/9 + 9270. Let f = m - 9. Let 0 - f*x - 8/9*x**2 - 2/3*x**3 = 0. Calculate x.
-1, -1/3, 0
Suppose -1 - 2 = u. Let y be 33/22*(-1)/u. Solve y*i + 0 - 1/4*i**2 = 0 for i.
0, 2
Find p such that 0 - 4/3*p**3 + 4/3*p**2 + 0*p = 0.
0, 1
Let w(l) be the first derivative of -10*l**3/3 - 45*l**2/2 + 25*l + 1. Factor w(n).
-5*(n + 5)*(2*n - 1)
Let s(j) be the third derivative of -1/20*j**5 + 0 + 0*j - 2*j**2 + 1/4*j**4 - 1/2*j**3. Factor s(r).
-3*(r - 1)**2
Let x = 23 + -20. Let g(a) = 4*a**5 - 4*a**3 + 4*a**2 + 4. Let w(j) = -4*j**5 + j**4 + 3*j**3 - 3*j**2 - 3. Let z(r) = x*g(r) + 4*w(r). Factor z(u).
-4*u**4*(u - 1)
Let u(c) be the first derivative of 6*c**5/5 + 11*c**4 + 64*c**3/3 - 32*c**2 - 5. Suppose u(n) = 0. What is n?
-4, 0, 2/3
Let x be -2 + (-36)/(-14) + (-60)/(-42). Factor 1/4 + 1/4*p**3 - 1/4*p - 1/4*p**x.
(p - 1)**2*(p + 1)/4
Let y(u) = u**4 + 3*u**3 - u**2 - u + 2. Let i(j) = 3*j**4 + 7*j**3 - 3*j**2 - 2*j + 5. Let z(k) = 4*i(k) - 10*y(k). Factor z(x).
2*x*(x - 1)**2*(x + 1)
Let o be (18/4 + -3)/3. Let c(m) be the first derivative of -4/5*m**5 + 3/2*m**4 + 1/6*m**6 + 0*m - 2 + o*m**2 - 4/3*m**3. Factor c(z).
z*(z - 1)**4
Let n(j) be the first derivative of -1/120*j**6 + 1/30*j**5 - 1/24*j**4 + 1/2*j**2 + 0*j + 0*j**3 + 1. Let a(b) be the second derivative of n(b). Factor a(i).
-i*(i - 1)**2
Let y be (-1 - 1) + 8/((-160)/(-45)). Let v(a) be the third derivative of 0 + a**2 + 1/32*a**4 + 0*a - 1/80*a**5 + y*a**3. Find q, given that v(q) = 0.
-1, 2
Determine g, given that -1/4*g**2 - 1/4 + 1/2*g = 0.
1
Factor 0 - 7/4*w**3 + 1/2*w**2 + 0*w.
-w**2*(7*w - 2)/4
Let n be (-1)/4 - 5/(-4). Suppose 1 - n - 3 - 4*g + 5 - 2*g**4 + 4*g**3 = 0. Calculate g.
-1, 1
Let t(g) be the second derivative of -g + 0 + 0*g**2 + 0*g**3 + 0*g**4 + 1/55*g**5 + 1/33*g**7 - 3/55*g**6. Factor t(i).
2*i**3*(i - 1)*(7*i - 2)/11
Let n(a) be the second derivative of -a**6/180 + 2*a**5/45 - 5*a**4/36 + 2*a**3/9 - 3*a**2/2 + 3*a. Let p(r) be the first derivative of n(r). Factor p(l).
-2*(l - 2)*(l - 1)**2/3
Let n be (-9)/(-54) - 22/(-12). Let k(h) be the first derivative of -3/5*h**5 - h**n + 1/3*h**3 + h**4 + 1 + 0*h. Solve k(v) = 0 for v.
-2/3, 0, 1
Let x = 857 + -855. Suppose 0 - 3/4*n**3 + 0*n - 1/4*n**4 - 1/2*n**x = 0. What is n?
-2, -1, 0
Factor -5*a**4 - 8 - a**3 + a**4 + 4*a + 12*a**2 - 3*a**3.
-4*(a - 1)**2*(a + 1)*(a + 2)
Suppose 3*k - k = -4, -3*f - 3*k = -18. Let g be f/(-16) + (1 - 0). Let g*i**2 - 1/2 + 0*i = 0. Calculate i.
-1, 1
Solve -i - 1 - 7*i - 3 + 2*i**3 + 4*i**4 + 6*i**3 = 0.
-1, 1
Factor -1/3*s**2 + 2/3*s**3 + 0 - 1/3*s**4 + 0*s.
-s**2*(s - 1)**2/3
Let r be (15/(-3) + 5)/3. Let d(w) be the first derivative of -8*w + 1 + 21/2*w**4 + r*w**2 + 86/3*w**3. Factor d(s).
2*(s + 2)*(3*s + 1)*(7*s - 2)
Let -2/9 - 32/9*c**2 + 20/9*c = 0. Calculate c.
1/8, 1/2
Let c(k) = 5*k**2 - 1. Let p be c(1). Factor 2*a**2 + 3*a**3 + a**2 - 9*a**3 + 3*a**p.
3*a**2*(a - 1)**2
Suppose 4/7 + 6/7*c + 2/7*c**2 = 0. Calculate c.
-2, -1
Let g be 1/7*-4 - 84/(-147). Let j = -121/63 - -15/7. Factor 2/9*c**3 + g*c - 2/9*c**4 - j*c**5 + 0 + 2/9*c**2.
-2*c**2*(c - 1)*(c + 1)**2/9
Let 10/7*w + 8/7*w**2 + 4/7 + 2/7*w**3 = 0. Calculate w.
-2, -1
Let m(w) be the first derivative of 13*w**3/3 - 7*w**2/2 + 4. Let n(x) = -14*x**2 + 8*x. Let u(t) = 6*m(t) + 5*n(t). Determine o, given that u(o) = 0.
0, 1/4
Let l(t) be the second derivative of -t**6/360 + t**5/240 - t**3/2 + t. Let o(m) be the second derivative of l(m). Let o(w) = 0. Calculate w.
0, 1/2
Factor -9/4*h**2 - 3/4*h**3 - 9/4*h - 3/4.
-3*(h + 1)**3/4
Let w(x) be the second derivative of -x**4/6 - x**3/3 + 7*x. Determine o, given that w(o) = 0.
-1, 0
Let b(s) be the third derivative of s**6/240 + s**5/120 - s**4/24 - 2*s**2. Factor b(r).
r*(r - 1)*(r + 2)/2
Suppose -r - 5*q - 27 = -5*r, -3*q - 12 = -r. Let c(d) be the second derivative of 0*d**2 + 1/60*d**6 - 1/8*d**4 + 0 + 0*d**5 + 1/6*d**r + d. Solve c(n) = 0.
-2, 0, 1
Let d(m) be the third derivative of 0*m - 1/6*m**4 + 7*m**2 + 1/20*m**5 + 0 - 2/3*m**3. Let d(q) = 0. Calculate q.
-2/3, 2
Let d(w) be the second derivative of w**5/120 - w**4/72 - w**3/36 + w**2/12 - 8*w. Suppose d(v) = 0. What is v?
-1, 1
Let f(l) be the third derivative of 0 - 1/30*l**5 + 1/6*l**3 - 1/30*l**7 - l**2 - 1/168*l**8 - 1/15*l**6 + 1/12*l**4 + 0*l. Determine b so that f(b) = 0.
-1, 1/2
Let j be 2/(-3) - 19/(-15)*1. Solve 6/5 - 3/5*p**2 - j*p = 0 for p.
-2, 1
Suppose -o + 2*o 