derivative of -39*k + 1/2*k**4 - 7/20*k**6 + 0*k**5 + 3/28*k**7 + 0*k**2 + 0 + 0*k**3. Find n such that r(n) = 0.
-2/3, 0, 1, 2
Suppose k - 2*n + n - 7 = 0, -4*k - 3*n + 56 = 0. Factor 5 + 22*b**2 - 30*b - k*b**2 - 6*b**2 + 40.
5*(b - 3)**2
Suppose -4*l - 7 = -5*n, -l + 5*n - 19 = -3*l. Suppose -l*t = 4*b - 3*b - 5, -11 = -3*t - 5*b. Solve 5*f**4 + 10*f**3 - t*f**3 + 4*f**4 - 4*f**4 + 3*f**2 = 0.
-1, -3/5, 0
Let b(p) = -2*p**3 - p**2 + p. Let v(i) = -3*i**4 - 16*i**3 - 26*i**2 - 13*i. Let m(x) = b(x) + v(x). Factor m(l).
-3*l*(l + 1)**2*(l + 4)
Let v be (1 - 80/64)*16/(-2). Let g be -1 + (-1 - (-12)/5). Factor 2/5*h**v + g*h - 4/5.
2*(h - 1)*(h + 2)/5
Determine d, given that -2/5*d + 2/5*d**3 + 1/5*d**2 - 1/5*d**4 + 0 = 0.
-1, 0, 1, 2
Let s be (18/8 - 1)*(26 - 22). Let d(i) be the second derivative of -1/80*i**s - 1/4*i**2 + 6*i - 1/12*i**4 - 5/24*i**3 + 0. What is h in d(h) = 0?
-2, -1
Let g(q) be the third derivative of -33*q**2 + 2/105*q**7 + 0*q**5 - 1/168*q**8 + 0*q**4 + 0*q + 0 + 0*q**3 - 1/60*q**6. Find h, given that g(h) = 0.
0, 1
Factor -1/5*s**2 - 289/5 - 34/5*s.
-(s + 17)**2/5
Let k(a) be the third derivative of -a**6/540 + a**5/45 - a**4/9 + a**3 + 27*a**2. Let p(l) be the first derivative of k(l). Let p(f) = 0. What is f?
2
Let m(q) = 466*q + 10252. Let g be m(-22). Find x, given that -5/7*x + 1/7*x**4 - 1/7*x**2 + 5/7*x**3 + g = 0.
-5, -1, 0, 1
Let d(u) be the first derivative of 40*u**2 - 25*u**3 - 20*u + 5*u**5 - 5/2*u**4 - 25. Factor d(y).
5*(y - 1)**2*(y + 2)*(5*y - 2)
Suppose -d + 5*q + 0*q = 12, 2*q + 3 = 3*d. Suppose d*a + a = 8. Solve -16/3 + 8/3*l - 1/3*l**a = 0 for l.
4
Let b(n) be the second derivative of -17*n + 1/10*n**5 + 0*n**2 + 0 - 2/3*n**4 + n**3. Factor b(t).
2*t*(t - 3)*(t - 1)
Let j be (-5)/(0 - 3 - -2). Let j*a**4 - 14973*a**2 - a**4 + 14969*a**2 = 0. Calculate a.
-1, 0, 1
Let u(m) be the third derivative of 0 - 1/630*m**7 + 1/180*m**5 + 0*m + 1/48*m**4 + 0*m**3 + 20*m**2 + 1/2016*m**8 - 1/180*m**6. Suppose u(z) = 0. What is z?
-1, 0, 1, 3
Let i(a) = -11*a**2 + 29*a + 38. Let q(w) = 7*w**2 - 19*w - 25. Let o(f) = -5*i(f) - 8*q(f). Let h be o(8). Factor 0 - p - 15*p - 8*p**h + 32 + 4*p**3.
4*(p - 2)**2*(p + 2)
Let w(s) be the second derivative of 1/16*s**4 - 3*s + 0*s**3 + 0*s**2 - 1/40*s**6 + 3/80*s**5 - 1/56*s**7 + 0. Determine h so that w(h) = 0.
-1, 0, 1
Let a be 2*((-3)/(-1) - 2). Factor 7*j**3 + 4802 - 4*j**3 + a*j**4 + 53*j**3 + 2744*j + 588*j**2.
2*(j + 7)**4
Let i(s) be the second derivative of 0 + 0*s**4 + 0*s**2 - 1/10*s**6 + 0*s**5 + 0*s**3 + 8*s. Determine u, given that i(u) = 0.
0
Determine j, given that -3 + 4*j**3 - 1/2*j**5 - 7/2*j + 0*j**4 + 3*j**2 = 0.
-2, -1, 1, 3
Suppose 0 = -w - 14 + 14. Factor 3*d**3 + w*d**2 - 1/2*d + 3/2*d**5 - 4*d**4 + 0.
d*(d - 1)**3*(3*d + 1)/2
Let f(p) be the third derivative of p**7/1155 + p**6/110 + 13*p**5/330 + p**4/11 + 4*p**3/33 - 68*p**2 - 2*p. Factor f(s).
2*(s + 1)**2*(s + 2)**2/11
Let s be -1 + 56 - 20/5. Let b be (-56)/(-70)*(s/18 + -2). Factor -1/3*v**4 - 1/3*v**2 - v + b + v**3.
-(v - 2)*(v - 1)**2*(v + 1)/3
Let c(r) be the first derivative of 10 - 1/2*r**2 - 5/9*r**3 + 4/15*r**5 + 1/3*r + 1/4*r**4. Factor c(j).
(j - 1)*(j + 1)**2*(4*j - 1)/3
Let d(v) be the second derivative of 0 + 3*v**2 - 3/2*v**3 - 10*v + 0*v**4 + 3/20*v**5. Find f such that d(f) = 0.
-2, 1
Let a be 380/(-665) + 3 + (-6)/14. Find k, given that -2/9*k**a - 10/9*k - 8/9 = 0.
-4, -1
Let r(o) be the first derivative of o**4/28 - 5*o**3/21 + 3*o**2/7 + 9. Solve r(d) = 0 for d.
0, 2, 3
Factor 0 - 2/7*p**2 + 2/7*p**3 - 4/7*p.
2*p*(p - 2)*(p + 1)/7
Suppose -7*d + 9 = 324. Let b be (-69)/d + (-9)/45. Let 4/3*m - b*m**2 + 4/3 - 4/3*m**3 = 0. What is m?
-1, 1
Suppose 0 = -230*k + 242*k - 48. Let s(o) be the third derivative of 9*o**2 + 0*o + 0*o**3 + 0 + 1/15*o**5 - 1/2*o**k. Find y, given that s(y) = 0.
0, 3
Suppose 2 + 24 = 13*m. Let z be (-13 + 13)/(m - 2/2). Let z*w + 1/2*w**2 - 2 = 0. What is w?
-2, 2
Let y(x) be the second derivative of 0*x**3 + 0*x**2 + 10*x - 1/60*x**6 + 0 - 1/40*x**5 + 1/12*x**4. Find b, given that y(b) = 0.
-2, 0, 1
Let q = 73 - 53. Let h be ((-12)/(-18))/(0 - q/(-6)). Factor h + 1/5*m**2 + 2/5*m.
(m + 1)**2/5
Let c(a) = -8*a**3 - 29*a**2 + 5*a + 35. Let t(o) = 25*o**3 + 85*o**2 - 15*o - 105. Let g(v) = 10*c(v) + 3*t(v). Suppose g(q) = 0. Calculate q.
-7, -1, 1
Solve 0*q**5 + 332*q**4 - q**3 + q**5 + 11*q**2 - 12*q - 335*q**4 + 4 = 0.
-2, 1, 2
Let f(g) be the first derivative of 4/3*g**3 + 35 + 4/3*g**2 + 1/3*g**4 + 0*g. Factor f(j).
4*j*(j + 1)*(j + 2)/3
Find g such that 0*g + 6/5*g**3 - 3/5*g**2 - 3/5*g**4 + 0 = 0.
0, 1
Let o(y) be the first derivative of y**3/18 + 7*y**2/12 - 3*y - 34. Factor o(a).
(a - 2)*(a + 9)/6
Let z(g) be the first derivative of 2*g**3/9 - 11*g**2/3 + 56*g/3 - 271. Determine s so that z(s) = 0.
4, 7
Let s(a) be the third derivative of 10 + 1/60*a**5 + 0*a + 1/9*a**3 - 1/720*a**6 - 1/16*a**4 - a**2. Factor s(v).
-(v - 4)*(v - 1)**2/6
Let r(n) be the first derivative of -2*n**3/21 + 2*n/7 + 141. Factor r(y).
-2*(y - 1)*(y + 1)/7
Let d(a) be the third derivative of -a**6/480 + 11*a**5/80 + 17*a**4/48 + 317*a**2 - a. Solve d(w) = 0.
-1, 0, 34
Suppose 18*i**4 - 49/4*i**3 - 4*i**5 - 3/2 + 47/4*i - 21*i**2 = 0. Calculate i.
-1, 1/4, 2, 3
Let s(l) be the first derivative of l**4/16 + 167*l**3/12 - 337*l**2/8 + 169*l/4 - 466. Let s(x) = 0. What is x?
-169, 1
Let o(b) be the third derivative of 2*b**7/735 - 16*b**6/105 + 22*b**5/7 - 100*b**4/3 + 4250*b**3/21 + 854*b**2. Factor o(w).
4*(w - 17)*(w - 5)**3/7
Suppose -5*i - 13 = 2*c - 44, 4*i - 20 = 0. Let k be (-120)/(-65) - (-2)/13. Suppose 0 - 2/9*w**c + 4/9*w - 2/9*w**k = 0. Calculate w.
-2, 0, 1
Let a(s) be the third derivative of s**5/30 + 95*s**4/6 + 9025*s**3/3 - 364*s**2. Factor a(w).
2*(w + 95)**2
Let a(f) be the second derivative of -9*f - 16/3*f**3 + 4*f**2 + 0 - 1/60*f**6 - 2/3*f**4 + 7/30*f**5. Let z(j) be the first derivative of a(j). Factor z(q).
-2*(q - 4)**2*(q + 1)
Suppose -7*k - 19 = -n - 3*k, 5*k + 1 = -2*n. Factor n*o**4 - 5*o**4 + o**3 - o**5 - 2*o**2 + 0*o**4.
-o**2*(o - 2)*(o - 1)*(o + 1)
Let c(j) be the first derivative of -j**6/90 - j**5/10 - 5*j**4/36 - 2*j - 12. Let s(m) be the first derivative of c(m). Factor s(d).
-d**2*(d + 1)*(d + 5)/3
Let w(u) = -8*u**2 + 1. Let c = 90 + -62. Let h(y) = -y**2 + y + 1. Let b(f) = c*h(f) - 4*w(f). Determine t so that b(t) = 0.
-6, -1
Let v(c) be the third derivative of -5*c**8/336 + 13*c**7/42 - 23*c**6/12 + 11*c**5/6 + 235*c**4/24 - 175*c**3/6 + 2*c**2 - 26. Let v(o) = 0. Calculate o.
-1, 1, 5, 7
Let n(d) be the second derivative of 3/2*d**4 - 21*d + 0 + 7/10*d**5 + 2/3*d**3 + 0*d**2. Factor n(g).
2*g*(g + 1)*(7*g + 2)
Let s(r) be the third derivative of -19*r**2 - 5/2352*r**8 + 0 + 1/420*r**6 + 0*r**3 + 0*r**5 + 0*r - 1/490*r**7 + 0*r**4. Factor s(x).
-x**3*(x + 1)*(5*x - 2)/7
Let j(l) be the second derivative of l**8/1008 - l**6/216 + 5*l**3/6 - 8*l. Let z(b) be the second derivative of j(b). Factor z(y).
5*y**2*(y - 1)*(y + 1)/3
Let a = 37 - 35. Let j be (a/(-6)*1)/(3/(-36)). Factor -2/5*l**j + 0*l**3 - 2/5 + 4/5*l**2 + 0*l.
-2*(l - 1)**2*(l + 1)**2/5
Let x be ((-4)/(-24))/(46/116). Let p = -2/23 + x. Determine d so that -3*d + 0 - p*d**3 + 2*d**2 = 0.
0, 3
Let j = 10 - 13. Let d = j + 6. Factor -38*b**2 + 56*b - 11*b + 5*b**d + 8*b**2.
5*b*(b - 3)**2
Let o(g) be the first derivative of -g**6/200 + 3*g**2 - 29. Let u(x) be the second derivative of o(x). Factor u(k).
-3*k**3/5
Let s(g) be the second derivative of -8*g + 4/3*g**3 - 2 - 1/5*g**5 + 0*g**2 - 1/3*g**4. Find z such that s(z) = 0.
-2, 0, 1
Suppose -35 = -12*z + 7*z. Factor 50*n - 36 + 2*n**2 - 89 - z*n**2.
-5*(n - 5)**2
Let z(o) be the first derivative of -o**3/5 - 171*o**2/10 - 66*o + 11. Solve z(i) = 0.
-55, -2
Suppose 0 = -3*w - 4*c - 28, w - 2*c = 116 - 102. Factor -10/7*h - 2/7*h**2 + w.
-2*h*(h + 5)/7
Let d(v) be the first derivative of 3*v**4/16 - v**3/4 - 15*v**2/8 - 9*v/4 + 127. Factor d(l).
3*(l - 3)*(l + 1)**2/4
Let w(j) be the first derivative of j**3/12 + 21*j**2/8 - 23*j/2 - 95. Factor w(a).
(a - 2)*(a + 23)/4
Let m be -1*(-3 + 1 + (-17)/(-5)). Let h = m + 5. Factor 8*a**2 + 16/5*a - h*a**4 + 12/5*a**3 + 0.
-2*a*(a - 2)*(3*a + 2)**2/5
Suppose -49 = -3*x + 