third derivative of -7*b**5/75 - 2*b**4/5 - 2*b**3/3 + 18*b**2 + 4*b. What is q in s(q) = 0?
-1, -5/7
Let u(b) be the second derivative of b**5/4 - 5*b**4/2 - 35*b**3/6 - 300*b. Factor u(x).
5*x*(x - 7)*(x + 1)
Let y(j) be the third derivative of 1/3*j**5 + 1/6*j**4 + 8/105*j**7 + 4/15*j**6 + 5*j - 5*j**2 + 0 + 0*j**3. Factor y(n).
4*n*(n + 1)*(2*n + 1)**2
Suppose -8/3 + 2/3*m**2 + 0*m = 0. Calculate m.
-2, 2
Let k(a) = -4*a**2 + 2*a + 5. Let w(u) = u**3 - u**2 + u + 2. Let p(f) = -2*k(f) + 2*w(f). Factor p(m).
2*(m - 1)*(m + 1)*(m + 3)
Let n(l) be the second derivative of -l**4/4 - 273*l. Factor n(h).
-3*h**2
Let w(i) be the third derivative of 0*i + 1/6*i**3 - 7/48*i**4 - 1/48*i**6 + 0 + 1/420*i**7 + 3/40*i**5 + 2*i**2. Factor w(t).
(t - 2)*(t - 1)**3/2
Let m be (6 + -7)*6/2 + 5. What is x in 16 + 8*x**2 + 0*x + 0*x - 12*x**m = 0?
-2, 2
Let z = 63 + -59. Let k be -3*(13/(-18) - (-2)/z). Solve 2/3*n + 0*n**2 - 1/3*n**4 + 1/3 - k*n**3 = 0.
-1, 1
Let a(u) = -15 + 8*u - u + 11*u**2 - 2*u**2 - u**4 + 7. Let t(r) = -r**2 - r + 1. Let g(m) = -2*a(m) - 14*t(m). Find l, given that g(l) = 0.
-1, 1
Let s be (4/9)/((-13)/((-429)/44)). Factor 1 + s*j**2 + 5/3*j - 1/3*j**3.
-(j - 3)*(j + 1)**2/3
Let b(k) be the first derivative of -2/45*k**5 + 0*k - 2 + 2/27*k**3 + 1/18*k**4 - 1/27*k**6 + 0*k**2. Factor b(l).
-2*l**2*(l - 1)*(l + 1)**2/9
Let i(u) be the first derivative of u**5/130 - u**4/13 - u**3/39 + 6*u**2/13 - 6*u - 35. Let z(b) be the first derivative of i(b). Factor z(r).
2*(r - 6)*(r - 1)*(r + 1)/13
Let o(a) be the first derivative of -a**6/6 + 56*a**5/5 - 513*a**4/2 + 5776*a**3/3 + 6859*a**2/2 - 303. Factor o(l).
-l*(l - 19)**3*(l + 1)
Let b(l) be the first derivative of -7/3*l**4 - 2*l**2 - 16/3*l**3 + 3 + 12*l. Let m(y) be the first derivative of b(y). Solve m(z) = 0.
-1, -1/7
Let t(p) be the third derivative of 225*p**7/14 - 30*p**6 + 22*p**5 - 8*p**4 + 8*p**3/5 + 67*p**2. Find q such that t(q) = 0.
2/15, 2/5
Let p(m) be the first derivative of m**5 + 35*m**4/12 - 5*m**3/3 - 8*m + 9. Let o(g) be the first derivative of p(g). Find i such that o(i) = 0.
-2, 0, 1/4
Suppose -3*x - 4*v - 6 = 0, 8*x = 4*x + 5*v + 23. Solve -1/3*p**4 + 2*p**3 + x*p - 11/3*p**2 + 0 = 0 for p.
0, 1, 2, 3
Let n(m) be the third derivative of -5*m**9/3024 + m**8/336 + 3*m**3/2 + 40*m**2. Let x(t) be the first derivative of n(t). Factor x(z).
-5*z**4*(z - 1)
Let w(d) = 4*d - 10. Let k be w(3). Solve -u**k - 1 + 19*u + 19*u - 36*u = 0 for u.
1
Suppose 0 = -3*h + 3*b + 3, 3*h - 9 = -3*b. Find a, given that 0 + 1/2*a**4 + 3/2*a**h + 0*a - 2*a**3 = 0.
0, 1, 3
Let x(a) be the second derivative of a**5/20 + a**4/4 - a**2 - 5*a. Let u be x(-2). What is b in 2*b + b**3 + 2*b**3 + 22*b**u - 28*b**2 + b = 0?
0, 1
Determine t, given that -16*t - 20*t**3 - 2/3*t**5 + 6*t**4 + 0 + 88/3*t**2 = 0.
0, 2, 3
Let y(g) be the third derivative of -g**5/12 - 105*g**4/4 - 6615*g**3/2 - g**2 - 7*g. Factor y(h).
-5*(h + 63)**2
Let p = -1817 + 1819. Let o(h) be the second derivative of 1/18*h**4 + 0 - 1/3*h**3 - 4*h + 0*h**p. Factor o(g).
2*g*(g - 3)/3
Find a such that 10/3*a**2 - 20/3*a**3 - 1/3*a**5 - 6 + 7*a + 8/3*a**4 = 0.
-1, 1, 2, 3
Let v(w) = w**2 + w. Let d be v(-5). Suppose -11*u**3 - 6 + 30*u + 1 + 25*u**4 - d*u**2 - 19*u**3 = 0. What is u?
-1, 1/5, 1
Let z(q) = 5*q**4 + 13*q**3 - 19*q**2 + q. Let n(u) = -2*u**5 - 21*u**4 - 52*u**3 + 77*u**2 - 3*u + 1. Let l(m) = 2*n(m) + 9*z(m). Factor l(j).
-(j - 1)**3*(j + 2)*(4*j + 1)
Let k be ((-10)/(-40))/((-54)/(-4)). Let o(s) be the second derivative of 0 + k*s**4 + 4*s + 0*s**3 - 1/90*s**5 + 0*s**2. Let o(a) = 0. What is a?
0, 1
Let y be -1*3/(12/(-4)) + 2. Let z be (-4 - 0)*y/(-6) + 1. Factor -6/7*d**z + 0 + 0*d - 4/7*d**2.
-2*d**2*(3*d + 2)/7
Let v(l) be the first derivative of 3*l**4 + 8*l**3/3 + 110. Let v(z) = 0. Calculate z.
-2/3, 0
Let i(h) = h**2 - 4*h + 3. Let z be i(0). Let x = 3 - 0. Solve 21*u - 3 - 12*u**x + 0 + 15*u**2 - z = 0 for u.
-1, 1/4, 2
Let c(j) be the second derivative of j**6/60 - j**5/5 + 5*j**4/24 + 25*j**3/6 + j - 15. Let c(q) = 0. Calculate q.
-2, 0, 5
Suppose -5*r - 3*p + 8 + 192 = 0, -5*r = -5*p - 240. Let c = 48 - r. Find f such that c*f - 40/3*f**2 - 2/3 - 10*f**4 + 50/3*f**3 + 7/3*f**5 = 0.
2/7, 1
Let n(u) be the first derivative of -5*u**8/504 + u**7/45 - u**6/90 - 7*u**2 + 11. Let c(a) be the second derivative of n(a). Factor c(i).
-2*i**3*(i - 1)*(5*i - 2)/3
Let d(v) be the third derivative of 0 + 0*v - 1/90*v**4 + 1/450*v**5 - 1/15*v**3 + 17*v**2. Find n such that d(n) = 0.
-1, 3
Let d(i) be the third derivative of -1/420*i**5 + 1/1470*i**7 + 0*i + 21*i**2 + 1/56*i**4 + 0 - 1/280*i**6 + 0*i**3. Factor d(o).
o*(o - 3)*(o - 1)*(o + 1)/7
Suppose 0 = -32*g + 41*g - 36. Suppose 6 = 4*z + i - 7, -g*z + 3 = -i. Suppose 2/5*r**z + 0*r + 2*r**4 - 8/5*r**3 - 4/5*r**5 + 0 = 0. What is r?
0, 1/2, 1
Suppose -14*h = -20*h + 108. Find d such that 2 - 174*d**2 + 18*d + 172*d**2 + h = 0.
-1, 10
Let g(d) be the second derivative of -d**8/8960 - d**7/1680 + d**6/320 - 3*d**4/2 + 18*d. Let w(h) be the third derivative of g(h). Factor w(s).
-3*s*(s - 1)*(s + 3)/4
Let v(p) be the first derivative of -2/5*p**2 - 6*p + 2 - 1/5*p**3 - 1/30*p**4. Let z(t) be the first derivative of v(t). Factor z(l).
-2*(l + 1)*(l + 2)/5
Let u = -625 + 1876/3. Let w(z) be the first derivative of -u*z**3 + 5 + 2*z**2 + 0*z. Factor w(v).
-v*(v - 4)
Factor 170*z - 8*z**2 + z**2 - 4*z**2 - 3*z**2 + 9*z**2.
-5*z*(z - 34)
Let g(n) be the second derivative of 121/20*n**5 + 2/3*n**3 + 0 - 25*n + 0*n**2 - 11/3*n**4. Determine u so that g(u) = 0.
0, 2/11
Suppose -2*r - 3*u = r + 33, 0 = 4*r - u + 24. Let s = 8 + r. Let q(v) = -v**3 + v. Let c(x) = 2*x**3 - 2*x. Let g(a) = s*c(a) - 2*q(a). Factor g(i).
4*i*(i - 1)*(i + 1)
Let d(g) = -2*g**3 - 6*g**2 + 4. Let x(b) = 2*b**3 + 7*b**2 + b - 5. Let w(v) = 5*d(v) + 4*x(v). Factor w(t).
-2*t*(t - 1)*(t + 2)
Suppose -15*h = -19*h + 52. Factor 10*u**2 - h*u**2 + 9 + u - u**3 - 6.
-(u - 1)*(u + 1)*(u + 3)
Let h = -7495/3 - -2520. Let c = h + -20. Solve 1/3*b**4 + 4/3*b**3 + 2/3*b + 0 + c*b**2 = 0.
-2, -1, 0
Suppose 4*k + i - 11 = 0, -5*i = -8 - 7. Let b(d) be the first derivative of d**k - 5*d + 6 - 1/15*d**3. Determine a, given that b(a) = 0.
5
Let n(t) be the second derivative of 1/8*t**2 - 7 - 4*t + 3/32*t**4 + 3/16*t**3. Suppose n(o) = 0. Calculate o.
-2/3, -1/3
Let m(j) = 99*j + 301. Let g be m(-3). Solve -6/5*v**g - 6/5*v + 4/5*v**2 + 2/5*v**5 + 4/5*v**3 + 2/5 = 0.
-1, 1
Let i(c) = 3*c**2 + 3. Let b be i(0). Factor -6*z**2 - 3*z**4 - 29 - 37 + 66 - 9*z**b.
-3*z**2*(z + 1)*(z + 2)
Let o be -4 - -7 - (11/5 - 0). Let y be -1*2/3*-3. What is s in -2/5*s + o*s**y - 2/5 = 0?
-1/2, 1
Let r(t) = -4*t**3 + 569*t**2 - 21312*t + 20758. Let p(x) = x**3 - 142*x**2 + 5328*x - 5190. Let i(b) = -22*p(b) - 6*r(b). Factor i(h).
2*(h - 72)**2*(h - 1)
Let z = -248 - -248. Let m(d) be the first derivative of -1/3*d**3 + 1/4*d**4 + z*d**2 - 1/6*d**6 + 2 + 1/5*d**5 + 0*d. Find p, given that m(p) = 0.
-1, 0, 1
Let h be (206/(-927))/((-2)/36). Let j(c) be the second derivative of -1/30*c**h + 0 + 1/100*c**5 + 0*c**2 + 1/30*c**3 - 5*c. Let j(u) = 0. What is u?
0, 1
Let n(l) be the second derivative of 3*l**5/20 - 5*l**4/4 - 4*l**3 + 18*l**2 - 3*l + 2. Factor n(t).
3*(t - 6)*(t - 1)*(t + 2)
Suppose 46 - 18*u - 3*u - 29*u - 5*u**2 - 11 + 20 = 0. What is u?
-11, 1
Let b(d) = -d**2 - 2*d + 2. Let h(n) = -11*n**2 - 30*n + 8. Let l(z) = 9*b(z) - h(z). Factor l(r).
2*(r + 1)*(r + 5)
Let l(a) be the first derivative of -a**8/420 + a**7/210 - 4*a**3 + 12. Let d(t) be the third derivative of l(t). Factor d(r).
-4*r**3*(r - 1)
Let v(d) be the third derivative of d**7/735 + d**6/420 + 287*d**2. Let v(b) = 0. Calculate b.
-1, 0
Let o(z) be the first derivative of -z**6/21 - 2*z**5/7 - 5*z**4/14 + 10*z**3/21 + 6*z**2/7 + 34. Solve o(i) = 0 for i.
-3, -2, -1, 0, 1
Let a(x) be the second derivative of -3/20*x**5 + 0*x**2 + 0*x**3 + 1/10*x**6 + 0*x**4 - 7*x + 0. Factor a(p).
3*p**3*(p - 1)
Let g(x) be the second derivative of 7*x - 5/2*x**3 + 0*x**2 + 1/6*x**6 - 5/4*x**5 + 0 + 35/12*x**4. Factor g(o).
5*o*(o - 3)*(o - 1)**2
Suppose 10 = 3*i - 8, 0 = 4*c + 2*i - 12. Find z such that -10/17*z + c + 2/17*z**2 = 0.
0, 5
Let l(z) be the third derivative of 0*