 derivative of 0*c + 1/18*c**3 + 13*c**d - 1/144*c**4 - 1/360*c**5 + 0. Factor a(k).
-(k - 1)*(k + 2)/6
Let q(d) be the second derivative of -d**5/100 - d**4/10 - 3*d**3/10 - 8*d**2 + 4*d - 3. Let t(r) be the first derivative of q(r). Solve t(b) = 0.
-3, -1
Let i(w) = -25*w**4 + 9050*w**3 + 37755*w**2 + 105*w. Let z(m) = m**4 - 348*m**3 - 1452*m**2 - 4*m. Let s(r) = 4*i(r) + 105*z(r). Factor s(t).
5*t**2*(t - 72)*(t + 4)
Let r be (2955/3546)/(5/3). Let s(p) be the first derivative of 30 - 5/4*p + r*p**2 + 1/12*p**3. Suppose s(z) = 0. Calculate z.
-5, 1
Let l be ((-14)/(-15))/((-2364)/(-49250)) + -19. Let l*d - 2/9*d**2 + 2/3 = 0. Calculate d.
-1, 3
Let s = -761964 - -761964. Suppose 0*r - 4/3*r**3 + s*r**2 + 0 - 26/3*r**4 = 0. Calculate r.
-2/13, 0
Let k(t) be the first derivative of -5*t**4/12 - 35*t**3/3 - 245*t**2/2 + 19*t - 4. Let p(x) be the first derivative of k(x). Let p(f) = 0. Calculate f.
-7
Let q(r) be the second derivative of -r**10/20160 + r**8/2240 - r**6/480 - 13*r**4/4 - r**3/6 + r + 31. Let a(y) be the third derivative of q(y). Factor a(u).
-3*u*(u - 1)**2*(u + 1)**2/2
Let x(f) = f**2 - 50*f - 41. Let p(d) = -d**2 + 74*d + 62. Let l(q) = 7*p(q) + 10*x(q). Factor l(j).
3*(j + 2)*(j + 4)
Let x(a) be the third derivative of -1/78*a**4 + 3*a + 0 - a**2 + 1/390*a**5 - 1/13*a**3. Find l, given that x(l) = 0.
-1, 3
Let l = 9217/54 + -4604/27. Factor -11/3*r**3 + 4/3*r**4 - 17/6*r + 14/3*r**2 - l*r**5 + 2/3.
-(r - 4)*(r - 1)**4/6
Factor -318/17*q - 10/17 + 64/17*q**2.
2*(q - 5)*(32*q + 1)/17
Solve 420 - 2*y**4 + 20*y**2 + 20*y - 420 + 2*y**3 - 4*y = 0.
-2, -1, 0, 4
Let m(w) be the second derivative of 5*w**7/84 + 13*w**6/6 - 125*w**5/4 + 905*w**4/6 - 1345*w**3/4 + 765*w**2/2 + 2*w - 99. Let m(x) = 0. Calculate x.
-34, 1, 3
Let m = 82 + -79. Factor 9*q**2 - 13*q**3 + 12*q**m - q**2 - 4*q - 4*q**2.
-q*(q - 2)**2
Let u(z) be the third derivative of z**6/40 - z**5/30 + z**4/24 - z**3/3 + z**2 + 24. Let l be u(1). Factor l + 1/2*v**3 + 3/4*v**4 + 1/2*v - 7/4*v**2.
v*(v - 1)*(v + 2)*(3*v - 1)/4
Suppose 0 = -2*l + 4*k - k + 7, -5*l - 5*k = -30. Suppose -4*j + 2*v = -v - 17, l*v + 11 = -2*j. Let -4*b**3 - 24*b**2 + 8*b - 46*b + j*b = 0. What is b?
-3, 0
Let n(l) = -11*l**2 + 5*l + 78. Let y be n(-8). Let r = y - -668. Factor 0*v + 0 + 6/13*v**r - 2/13*v**3.
-2*v**2*(v - 3)/13
Let h(f) be the third derivative of -7*f**6/300 - 29*f**5/75 - 4*f**4/15 + 17*f**2 + 28*f. Find q such that h(q) = 0.
-8, -2/7, 0
Let z(u) be the first derivative of 11*u**4/12 - 14*u**3/3 - 4*u**2/3 + 1005. Determine r so that z(r) = 0.
-2/11, 0, 4
Let g(z) be the first derivative of z**3/3 - 495*z**2/2 - 706. Let g(v) = 0. Calculate v.
0, 495
Suppose 267 = 11433*h - 11344*h. Factor 1/5*k**4 + 0*k + k**2 + 6/5*k**h + 0.
k**2*(k + 1)*(k + 5)/5
Solve 210/19*u - 212/19 + 2/19*u**2 = 0 for u.
-106, 1
Let r(p) be the third derivative of -2/3*p**6 - 31/12*p**5 + 65/6*p**4 + 38*p**2 - 10*p**3 + 0*p + 1/6*p**7 + 1. Suppose r(j) = 0. What is j?
-2, 2/7, 1, 3
Let g(y) be the first derivative of 2*y**6/27 + 4*y**5/15 - y**4/9 - 28*y**3/27 + 16*y/9 + 417. Determine w so that g(w) = 0.
-2, -1, 1
Let s(m) be the third derivative of m**6/120 + 7*m**5/60 + m**4/8 - 3*m**3 - 3*m**2. Let w be s(-6). Determine x so that w*x - 2/9*x**3 + 2/9*x**2 + 0 = 0.
0, 1
Let u(z) be the first derivative of 5/3*z + 1/9*z**3 + z**2 + 153. Factor u(f).
(f + 1)*(f + 5)/3
Let g(v) be the first derivative of -80*v**5 - 100*v**4 - 116*v**3/3 - 4*v**2 + 284. Find o such that g(o) = 0.
-1/2, -2/5, -1/10, 0
Let p = 29 - 5. Suppose p*t - 20*t - 16 = 0. Factor 5*s + 5*s - 12*s - t + 2*s**2.
2*(s - 2)*(s + 1)
Let y(p) = 6*p**3 - 2*p**2 - 6*p + 4. Let j(d) = -d**2 - d + 32. Let f be j(5). Let c(z) = z**3 - z + 1. Let x(u) = f*y(u) - 4*c(u). Solve x(a) = 0 for a.
-1, 1/2, 1
Let x(f) be the first derivative of 2*f**3/33 + 1808*f**2/11 + 1634432*f/11 + 1130. Find y such that x(y) = 0.
-904
Let r be 5*35/200*(6 - (-78)/(-14)). Solve 0 + 0*d - r*d**2 = 0 for d.
0
Let t(x) be the first derivative of x**4/18 - x**3/9 - 4*x**2 + 155*x - 156. Let z(g) be the first derivative of t(g). Factor z(j).
2*(j - 4)*(j + 3)/3
Let y(q) be the first derivative of 78 + 2*q**3 + 3/20*q**5 - 15/16*q**4 + 0*q - 3/2*q**2. Factor y(d).
3*d*(d - 2)**2*(d - 1)/4
Suppose 0 = -19*g + 18*g + 8. Suppose -g = 19*v - 23*v. Factor -7*h**5 - h**5 - 9*h**3 - 3*h**v + 5*h**5 - 9*h**4.
-3*h**2*(h + 1)**3
Solve 5200*q + 21632/5 + 244/5*q**3 + 4/5*q**4 + 4608/5*q**2 = 0 for q.
-26, -8, -1
Let d be (32/56)/((-10)/(-7)). Let m be (-32)/36*(9 - (-1209)/(-130)). Find h, given that d*h**2 - 2/15*h**4 + 0 + 0*h - m*h**3 = 0.
-3, 0, 1
Let w(c) = -4310*c**2 + 112*c - 12. Let u(i) = 4310*i**2 - 121*i + 13. Let r(z) = -12*u(z) - 13*w(z). Suppose r(n) = 0. What is n?
0, 2/2155
Let z(x) be the first derivative of 7*x - 7/120*x**5 + 0*x**2 + 1 + 1/6*x**4 + 1/9*x**3. Let n(b) be the first derivative of z(b). Factor n(j).
-j*(j - 2)*(7*j + 2)/6
Let t be (346 - 434)*(-1)/8 + -8. Let 3/8*i**t - 5184 + 648*i - 27*i**2 = 0. What is i?
24
Let y be 15 - (2 - -4)*(-31)/62. Let m be (-30)/(-27) - 16/y. Solve 4/3 + m*r**3 + 22/9*r + 4/3*r**2 = 0 for r.
-3, -2, -1
Let r be 47/(-141) - 1*1/(-3). Let w be (-14)/(-10) - (-21)/35. Factor 9*f**2 + 3*f**2 - 4*f**3 + r*f**w.
-4*f**2*(f - 3)
Let n(q) be the first derivative of q**7/105 + 7*q**6/90 + q**5/5 + 62*q**3/3 + 52. Let y(j) be the third derivative of n(j). Solve y(x) = 0.
-2, -3/2, 0
Let u(h) be the third derivative of -h**6/72 - 59*h**5/45 - 47*h**4/72 - 1663*h**2. Find v such that u(v) = 0.
-47, -1/5, 0
Let d(y) = y**2 + 473*y - 972. Let x(c) = -5*c**2 - 3310*c + 6805. Let u(k) = -15*d(k) - 2*x(k). Suppose u(w) = 0. What is w?
-97, 2
Let s be ((-1121)/38)/(9/(-3)) - (-117)/(-13). Solve 2/3*p**2 + 0*p - 2*p**3 + 0 + s*p**4 = 0 for p.
0, 2/5, 2
Let f be (-14)/35 + 34*2/20. Find n such that n**2 + 4*n**5 + 5*n**f - 165*n**4 - 5*n**5 + 4 + 164*n**4 - 8*n = 0.
-2, 1
Let r be ((-178)/(-45))/1*(49 + -42). Let b = -242/9 + r. Factor 0*t + 0 - 2/5*t**3 - b*t**5 + 0*t**2 + 6/5*t**4.
-2*t**3*(t - 1)*(2*t - 1)/5
Let o(q) be the third derivative of 34/35*q**5 + 0*q - 1/20*q**6 + 22/7*q**3 - 241*q**2 + 97/28*q**4 + 0. Let o(m) = 0. Calculate m.
-1, -2/7, 11
Let b(f) be the second derivative of f**5/16 - 15*f**4/16 + 5*f**3/3 - 33*f + 8. Factor b(x).
5*x*(x - 8)*(x - 1)/4
Let l = -725932 + 725932. Suppose 2/13*q**5 + 18/13*q**4 + l + 24/13*q + 54/13*q**3 + 62/13*q**2 = 0. Calculate q.
-4, -3, -1, 0
Let x(u) be the first derivative of -u**4/4 - 5*u**3 - u**2/2 - 13*u + 54. Let z be x(-15). Factor -24/7 + 76/7*m - 12/7*m**z.
-4*(m - 6)*(3*m - 1)/7
Let a(g) = 91*g - 834. Let c be a(21). Let p = c - 1073. Suppose -52/5*y**2 - 16/5 - 24/5*y**3 - 48/5*y - 4/5*y**p = 0. What is y?
-2, -1
Factor -1/6*m**2 - 241/2 - 362/3*m.
-(m + 1)*(m + 723)/6
Let v = 113 + -83. Solve v - 73*o + 103*o - 3*o**2 - 93 = 0.
3, 7
Let p(v) = 2*v - 12. Let r be p(6). Let a be -4 - -4 - (r + -2). Factor -h**2 + 27*h - 4 + 4 + 4*h**a.
3*h*(h + 9)
Let i be -23 + (-7)/(-70)*230. Let u(s) be the second derivative of -36*s + i*s**2 - 1/54*s**3 + 0 - 1/108*s**4. Factor u(n).
-n*(n + 1)/9
Let l = -2480 - -2486. Let g(i) be the first derivative of -49/15*i**6 - 4/5*i**2 - 109/10*i**4 - 252/25*i**5 - 24/5*i**3 + 0*i - l. Solve g(w) = 0.
-1, -2/7, 0
Factor 3 - 1/3*y**2 + 1/3*y**3 - 3*y.
(y - 3)*(y - 1)*(y + 3)/3
Let k = -86 - -91. Suppose -n - 5 = -0*n, k*n + 35 = 2*w. Factor 3*g**3 + g**3 + 28*g - 2 + 4*g**2 + 2*g**4 - 4*g**4 - 2*g**w - 30*g.
-2*(g - 1)**2*(g + 1)**3
Let v be (-10)/(-2) - (8 + -13 + 2). Factor 4*a - 18*a**5 - v*a**3 + 2*a**5 + 20*a**5.
4*a*(a - 1)**2*(a + 1)**2
Let j be (-2)/(-8)*((-456)/(-40) - 5). Let g be (20/(-10))/(-3 - 2). Factor 0 + g*m**5 - 6/5*m**3 + j*m - 4/5*m**4 + 8/5*m**2.
2*m*(m - 2)**2*(m + 1)**2/5
Let v(u) be the first derivative of 1/3*u**3 - 37 + u - 1/2*u**2 + 1/4*u**4. Let n(l) be the first derivative of v(l). Suppose n(g) = 0. Calculate g.
-1, 1/3
Let p be -6*7/(-24 + 3). Determine s so that -5 - 507*s**3 - 24 - 1519*s + 259*s - 4212*s**p - 54 - 13 = 0.
-8, -2/13
Suppose -3*f = -5*b + 17, -2*b + 15 - 4 = 3*f. Suppose -d + 3*d - x - 1 = 0, -4*d + b*x = 4. Suppose 15*a + 35 + 10*a**2 - 5*a**d - 25 = 0. Calculate a.
-2, -1
Let u(b) = 5*b**3 -