third derivative of 0*f**3 + 0*f**6 - 1/15*f**5 - f**2 + 2/105*f**7 + 1/168*f**8 + 0*f - 1/12*f**4 + 0. Suppose o(m) = 0. Calculate m.
-1, 0, 1
Let z(x) be the third derivative of x**6/420 + x**5/210 - x**4/42 + 2*x**2. Factor z(n).
2*n*(n - 1)*(n + 2)/7
Let m(x) be the first derivative of -3*x + 1/12*x**4 + 1/2*x**3 + x**2 - 2. Let g(k) be the first derivative of m(k). Factor g(v).
(v + 1)*(v + 2)
Let p(f) be the third derivative of -2*f**2 + 0 + 0*f + 1/480*f**6 + 1/120*f**5 + 0*f**3 + 1/96*f**4. What is b in p(b) = 0?
-1, 0
Suppose 2*u - 1 - 3 = 0. Factor -u*f**2 + 6*f**2 - 18*f + 0*f**2 + 27 - f**2.
3*(f - 3)**2
Let s(c) = 5*c**2 + 1. Let n be s(1). Factor i**3 - 2*i**2 - 2*i**2 + n*i - 2*i.
i*(i - 2)**2
Suppose 3/7*g - 18/7 + 3/7*g**2 = 0. What is g?
-3, 2
Suppose -5*d + 3*d + 10 = 0. Suppose -d*q + 4*q**2 - q**2 + 5*q = 0. What is q?
0
Let c(p) = -2*p - 1. Let n(o) = -o + 1. Let v(b) = -c(b) + n(b). Let l be v(0). Find j such that 0 + 3*j + 3*j - 2 - 4*j**2 - 2*j**l + 2*j**3 = 0.
1
Let x(c) be the third derivative of c**7/420 - c**6/180 - c**5/30 - c**3/3 + 7*c**2. Let o(s) be the first derivative of x(s). Solve o(p) = 0.
-1, 0, 2
Let y = -2/85 - -176/255. Factor 0*l + 0 - 4/3*l**2 - y*l**3.
-2*l**2*(l + 2)/3
Determine u, given that -2*u**2 + 0*u**2 - 1 - 5 - 8*u - 2 = 0.
-2
Let y(t) be the first derivative of t**6/180 - t**5/10 + 3*t**4/4 - t**3/3 - 3. Let m(d) be the third derivative of y(d). Find u, given that m(u) = 0.
3
Let x(v) be the second derivative of v**7/10 + 9*v**6/40 + v**5/10 + 3*v**2/2 + 2*v. Let n(i) be the first derivative of x(i). Factor n(g).
3*g**2*(g + 1)*(7*g + 2)
Let y(q) = -45*q**2 + 71*q - 20. Let m(i) = 9*i**2 - 14*i + 4. Let b(c) = c**2 - 7*c + 2. Let u be b(7). Let t(o) = u*y(o) + 11*m(o). Solve t(n) = 0.
2/3
Let g(d) be the third derivative of -d**7/175 - d**6/150 + d**5/50 + d**4/30 - 5*d**2. Suppose g(f) = 0. Calculate f.
-1, -2/3, 0, 1
Let x(y) be the second derivative of -y**7/21 - 2*y**6/45 + y**5/30 - 16*y. Find c such that x(c) = 0.
-1, 0, 1/3
Let c(b) be the third derivative of 0 + 1/540*b**6 + 0*b**4 - 4*b**2 + 0*b + 0*b**5 + 0*b**3 + 1/945*b**7. What is p in c(p) = 0?
-1, 0
Suppose -4*z = -91 + 35. Let r = -10 + z. What is a in 2/5*a**5 + 2/5*a + 0*a**r + 0 + 0*a**2 - 4/5*a**3 = 0?
-1, 0, 1
Let r(j) = -34*j**2 + 66*j + 114. Let w(g) = -7*g**2 + 13*g + 23. Let t(k) = -3*r(k) + 14*w(k). Let t(a) = 0. Calculate a.
-1, 5
Let u(w) be the third derivative of -w**7/70 + w**6/10 - 3*w**5/20 + 6*w**2. Factor u(s).
-3*s**2*(s - 3)*(s - 1)
Let v(z) = z**3 - z**2 + 2. Let y be v(2). Suppose y*x = x. Solve 6/7*a**3 + 2/7*a**4 + x + 6/7*a**2 + 2/7*a = 0.
-1, 0
Let q(j) = -j**2 + 7*j + 3. Let z be q(7). Factor c**2 + 0*c**2 - 2*c**3 + c**z.
-c**2*(c - 1)
Let x = 0 + -2. Let h = -2 - x. Factor 0*c + 2/5*c**4 - 4/5*c**3 + 2/5*c**2 + h.
2*c**2*(c - 1)**2/5
Suppose 0*d**4 + 3/5*d**3 + 0*d + 0*d**2 - 3/5*d**5 + 0 = 0. What is d?
-1, 0, 1
Let u(z) = -6 + 10*z + 4*z**2 - 1 - 1. Let t(x) = 9*x**2 + 21*x - 17. Let w(g) = 6*t(g) - 13*u(g). Solve w(b) = 0 for b.
1
Let y be -1 + -28 - 16/(-4). Let t = y - -25. Find b, given that t*b + 0 - 2/11*b**2 = 0.
0
Let v(c) be the third derivative of -c**5/690 + 8*c**2. Find b such that v(b) = 0.
0
Let l be (12/3 - 3) + 1. Suppose 10*j + 7*j**3 - 2*j**2 - 6*j**l - 4 - 5*j**3 = 0. What is j?
1, 2
Let r(n) = 7*n**4 + 193*n**3 + 433*n**2 + 336*n + 55. Let b(w) = -w**4 - 24*w**3 - 54*w**2 - 42*w - 7. Let a(p) = 51*b(p) + 6*r(p). Find t, given that a(t) = 0.
-3, -1, -1/3
Let l(n) be the third derivative of -n**8/84 - 17*n**7/210 - n**6/30 - 2*n**2. Let z(y) = y**5 + 4*y**4 + y**3. Let t(u) = 4*l(u) + 18*z(u). Factor t(a).
2*a**3*(a + 1)**2
Let l(t) be the third derivative of t**10/75600 - t**9/5400 + t**8/1120 - t**7/700 + t**4/6 - 2*t**2. Let j(f) be the second derivative of l(f). Solve j(d) = 0.
0, 1, 3
Let v(r) be the first derivative of -r**8/336 - r**7/210 + r**6/60 - 7*r**2/2 + 2. Let x(i) be the second derivative of v(i). Factor x(l).
-l**3*(l - 1)*(l + 2)
Determine u so that 5/2*u**4 - 5/2*u**2 + 0 + 5*u**3 - 5*u = 0.
-2, -1, 0, 1
Let a(u) = 2*u**3 + 3*u - 3. Let m(g) = g**3 + g - 1. Let h(f) = a(f) - 3*m(f). Factor h(j).
-j**3
Let q be 2 - 16 - -11 - -9. Let 15*f**2 - 63/4*f**4 - 27/4*f**5 + 0 + q*f + 3/2*f**3 = 0. Calculate f.
-2, -2/3, 0, 1
Let k(g) be the first derivative of 0*g - 5 - 1/3*g**2 - 2/15*g**5 - 1/2*g**4 - 2/3*g**3. Let k(n) = 0. What is n?
-1, 0
Find k such that -5/3*k**2 - 1/3*k**3 - 4/3*k + 0 = 0.
-4, -1, 0
Let x(c) be the second derivative of -c**6/195 + c**5/130 + c**4/39 - 6*c. Factor x(l).
-2*l**2*(l - 2)*(l + 1)/13
Let x be 1*6 - (8 + -4). Solve 2*u**x - 3*u**2 - 4 + 6 - u**2 = 0.
-1, 1
Let z be 338/(-91) + (-2 - -6). Factor 4/7 - 2/7*w**2 + z*w.
-2*(w - 2)*(w + 1)/7
Let n(u) be the first derivative of 1/60*u**5 + 1/18*u**4 + 1/540*u**6 + 1/3*u**3 + 0*u + 0*u**2 - 2. Let c(z) be the third derivative of n(z). Factor c(p).
2*(p + 1)*(p + 2)/3
Find q, given that 3/4*q**5 - 3/4*q**4 - 3/4*q**3 + 0 + 0*q + 3/4*q**2 = 0.
-1, 0, 1
Let s(u) be the first derivative of -u**7/140 - u**6/120 + u**5/20 + u**4/8 + 4*u**3/3 - 4. Let j(n) be the third derivative of s(n). Factor j(z).
-3*(z - 1)*(z + 1)*(2*z + 1)
Let i(j) be the third derivative of -j**6/40 + 9*j**5/5 - 54*j**4 + 864*j**3 - 5*j**2. Let i(w) = 0. What is w?
12
Solve 1/10*p**4 + 0 + 0*p - 1/5*p**3 + 1/10*p**2 = 0 for p.
0, 1
Let j(l) be the first derivative of -20*l**3/3 - 4*l**2 - 4*l/5 + 9. What is p in j(p) = 0?
-1/5
Suppose 0 = -5*v - 2*s + 62, 3*v + 2*v = -3*s + 63. Let -10 + v - b**2 - 2*b - 3 = 0. Calculate b.
-1
Suppose 0 = 5*c - 8 + 23. Let w be c*(-3)/(18/8). Factor 2*g - g**w + g - 2*g**3 - g + 1.
-(g - 1)*(g + 1)**3
Let k(c) = 4*c + 24. Let a be k(-6). Let a + 4/13*b - 6/13*b**2 + 2/13*b**3 = 0. Calculate b.
0, 1, 2
Solve -2/3 + 0*n + 2/3*n**2 = 0 for n.
-1, 1
Let c(k) = 2*k**4 - 4*k**2 + 4*k + 2. Let s(w) = 4*w**4 - 8*w**2 + 9*w + 4. Suppose 3*b = -10 - 17. Let x(g) = b*c(g) + 4*s(g). Suppose x(t) = 0. Calculate t.
-1, 1
Let a(m) be the second derivative of m**6/345 + m**5/46 + 4*m**4/69 + 4*m**3/69 - 8*m. Factor a(b).
2*b*(b + 1)*(b + 2)**2/23
Let r = 18 + -9. Let o = r + -4. Factor 2*i**3 + 2*i**2 + 16*i**4 - 2*i**o - 12*i**3 - 6*i**5.
-2*i**2*(i - 1)*(2*i - 1)**2
Determine c, given that -2/9 - 2/9*c**4 + 0*c**3 + 4/9*c**2 + 0*c = 0.
-1, 1
Let f = -6 - -9. Let a be (-15)/35*(-2)/f. Factor a*u**2 - 4/7*u + 2/7.
2*(u - 1)**2/7
Suppose -3*t - 1 = -2*y, -2*y = 3*y + t - 11. Let f = 552/5 + -110. Factor 2/5*n**y + 0*n - f.
2*(n - 1)*(n + 1)/5
Let p(g) be the first derivative of 1/9*g**3 + 0*g + 4 + 0*g**2. Factor p(r).
r**2/3
Suppose 6/7*q - 2/7*q**2 + 0 = 0. What is q?
0, 3
Let h(x) be the second derivative of x**7/84 + x**6/20 + x**5/20 - 67*x. What is p in h(p) = 0?
-2, -1, 0
Let m(h) be the third derivative of -h**5/390 - 18*h**2. Factor m(d).
-2*d**2/13
Let n(k) be the first derivative of k**4/24 - k**3/12 - k - 1. Let m(f) be the first derivative of n(f). Factor m(q).
q*(q - 1)/2
Let d(o) = -o**3 + 3*o**2 + 3*o + 4. Let w be d(4). Suppose w = -g + 5*g - 8. Factor 0*c**3 + 2*c**3 + 2 - 3*c**2 + c**g - 2*c.
2*(c - 1)**2*(c + 1)
Let j(x) = x + 10. Let z be j(-10). Let w(o) be the first derivative of -1/3*o**2 + 1 + z*o + 2/9*o**3. Solve w(f) = 0.
0, 1
Let h(z) be the first derivative of -z**3/4 - 3*z**2 + 14. Let h(f) = 0. Calculate f.
-8, 0
Suppose 0 = 3*m + 3*w - 18, 0 = -m + 6*m + w - 22. Let c be 4/(1 + 4/m). Factor 0 + 1/3*h**c + 0*h + 4/3*h**3.
h**2*(4*h + 1)/3
Let h(d) be the second derivative of d**6/60 - d**5/20 + d**4/24 + 3*d. Factor h(r).
r**2*(r - 1)**2/2
Let a be (-3*4/48)/((-20)/8). Let n(g) be the second derivative of 0*g**4 + 0*g**2 + 0*g**3 + 0 - a*g**5 - 1/15*g**6 - 2*g. Let n(p) = 0. Calculate p.
-1, 0
Find a, given that -55/6*a - 5 - 5/6*a**3 - 5*a**2 = 0.
-3, -2, -1
Let q be 0 - ((-7)/(455/30) + 0). Factor 6/13*r**3 + 0 + 16/13*r**2 - q*r.
2*r*(r + 3)*(3*r - 1)/13
Let b(c) be the first derivative of -c**4/6 + 4*c**3/3 + 3. Factor b(s).
-2*s**2*(s - 6)/3
Let s(m) be the first derivative of m**5/110 - m**4/11 + 4*m**3/11 - 8*m**2/11 + 11*m - 8. Let q(t) be the first derivative of s(t). Factor q(x).
2*(x - 2)**3/11
Suppose -r - 13 = 5*i, 0*i = -2*i - 6. Factor 12*o**2 + 3*o