 10. What is the second derivative of -3*m**2 + 11*m - 3*m - r*m**2 wrt m?
-18
Find the second derivative of 57*s**4 + 3*s**2 + 40*s**2 - s + 496 - 40*s**2 wrt s.
684*s**2 + 6
What is the third derivative of 17 - 45 + 15 - 283*p**6 + 47*p + 13 + p**2 wrt p?
-33960*p**3
Let k(a) be the second derivative of 17*a**9/504 - 3*a**5/20 - 8*a**2 + 4*a. Let i(g) be the first derivative of k(g). Find the third derivative of i(o) wrt o.
2040*o**3
Suppose -35 = 222*t - 229*t. Let c(j) be the third derivative of 0 + j**2 - 1/60*j**t + 0*j + 1/12*j**4 + 0*j**3. What is the second derivative of c(l) wrt l?
-2
Suppose -5*p - 6 = -1. Let u(y) = y**2 - y - 1. Let l(x) = 7*x**2 - 15*x + 6. Let r(j) = p*l(j) - 6*u(j). Find the second derivative of r(c) wrt c.
-26
Let g(k) be the second derivative of -14*k + 0 - 21/2*k**2 - 15/2*k**3. Find the first derivative of g(m) wrt m.
-45
Let v(m) be the third derivative of 16*m**6/15 + 17*m**5/30 - 85*m**2. Find the third derivative of v(p) wrt p.
768
Let v(z) = -151*z**4 - 6*z + 42. Let r(u) = u. Let n(h) = -6*r(h) - v(h). Differentiate n(g) with respect to g.
604*g**3
Suppose -3*k = -4*b + 9 - 26, -22 = -3*k - b. Find the second derivative of -k + 4 + 6*x + 3 - 3*x**4 wrt x.
-36*x**2
Let r(x) be the second derivative of x**5/10 - 85*x**3/3 - 174*x**2 - 83*x. Differentiate r(q) with respect to q.
6*q**2 - 170
Let r(c) = c**2 - 18*c + 22. Let u be r(17). Let g = 8 - u. Find the third derivative of 58*a + 5*a**3 - 5*a**2 - 58*a - a**g wrt a.
24
Let d(a) be the second derivative of 1/3*a**3 + 0 + 0*a**5 + 2*a**2 + 0*a**4 - 52*a + 0*a**6 + 9/14*a**7. What is the second derivative of d(i) wrt i?
540*i**3
Let n(w) be the third derivative of 61*w**4/2 - 15*w**3/2 - 54*w**2. Differentiate n(a) with respect to a.
732
Suppose 3*v = -0*y + 3*y - 21, -3 = -v. Let m be (795/30 - 15)/((-1)/(-2)). Find the second derivative of -6*z**2 + m*z**2 + 13*z - 9*z**2 - y*z**2 wrt z.
-4
Suppose 5*z + 5 + 0 = -5*j, -5*j = -3*z + 29. Suppose -140 = -n - 6. What is the second derivative of n*w**2 - 5*w - 134*w**2 - 5*w**z wrt w?
-30*w
Let k(n) = -n**2 + 6*n + 4. Let s be -6*4/(-3 - 1). Let c be k(s). What is the third derivative of -2*x**5 + c*x**2 - 3*x**2 + 4*x**2 - 4*x**5 wrt x?
-360*x**2
Let t(h) = -50*h**3 + 6*h**2 + 43. Let d(i) = -11*i**2 + 99*i**3 - 10247*i - 85 + 10247*i. Let m(f) = -6*d(f) - 11*t(f). What is the derivative of m(x) wrt x?
-132*x**2
Suppose -5*x - 4*c = -14, 4 - 5 = -3*x + 5*c. Let p be ((-45)/(-18))/((-10)/(-72)). What is the derivative of 15*f**2 + 3 - 8 - p*f**x - 1 wrt f?
-6*f
Let x(i) be the first derivative of 595*i**4/4 - i**3 - 23*i + 46. Find the third derivative of x(k) wrt k.
3570
Suppose 4*q - 2*p - 88 = 0, -q - 2*p = -5 - 12. Find the third derivative of -12*l**3 + q*l**3 - 8*l**3 - 8*l**2 wrt l.
6
Let o(h) = -h**3 + h**2 - h + 1. Let x(w) = 135*w**3 - 169*w**2 - 4*w + 4. Let n(j) = 4*o(j) - x(j). Find the third derivative of n(f) wrt f.
-834
Let o(j) be the second derivative of -31*j**7/42 - 5*j**4/3 + 2*j**2 + 247*j. Find the third derivative of o(q) wrt q.
-1860*q**2
Let h be 0/(3/(-9)*-3). Differentiate h - 21 - 16*j**3 + 3 with respect to j.
-48*j**2
Find the third derivative of -4*a - 569*a**2 - 26*a**4 + 2*a**3 + 3*a + 277*a**2 + 276*a**2 wrt a.
-624*a + 12
Let a(g) be the first derivative of -g**6/20 - g**5/60 - 9*g**4/8 - 10*g**3/3 + 50. Let j(t) be the third derivative of a(t). Differentiate j(p) wrt p.
-36*p - 2
Suppose 0 = 7*p - 6*p - 4, -5*w - 5*p + 555 = 0. What is the derivative of 4*v**3 + w - 4*v**3 - 92 + 7*v**4 wrt v?
28*v**3
Let w(k) = 20*k**3 - k**2 + 6*k + 204. Let h(y) = y**2 - y. Let n(o) = -h(o) - w(o). What is the derivative of n(d) wrt d?
-60*d**2 - 5
What is the third derivative of 0*v**6 + 9*v**6 - 2298*v**5 + 2296*v**5 - 147*v**2 wrt v?
1080*v**3 - 120*v**2
Let k(p) = 13*p**4 + 6*p**2 + p - 6. Let s(v) = 9*v + 1 + v**4 - v**2 + 0*v**2 - 10*v. Let t(h) = k(h) + 6*s(h). What is the second derivative of t(y) wrt y?
228*y**2
Let y(g) = -13*g**2 + 18*g + 138. Let c(n) = -7*n**2 + 9*n + 70. Let p(d) = 11*c(d) - 6*y(d). What is the first derivative of p(x) wrt x?
2*x - 9
Let s(p) = -5*p**2 + 3*p + 2*p**2 + 2*p**2 - 7*p. Let t be s(-3). Find the second derivative of -3*q + q + 6*q + 4*q**3 - q**t wrt q.
18*q
Let v = 29 - 21. Suppose 5*j - v = 2, -23 = -5*s - 4*j. Find the first derivative of -8 + i + 0*i**3 - i + s*i**3 wrt i.
9*i**2
Let n be 12/10*40/16. Let j be (4/n)/2*6. What is the third derivative of 4*m**2 + 5*m**4 + 6*m**6 - 5*m**j wrt m?
720*m**3
Let u be (-20)/75*-10 - 2. Let q(l) be the second derivative of 4*l**2 - 4*l - u*l**4 + 0 + 0*l**3. Find the first derivative of q(o) wrt o.
-16*o
Differentiate 20 + 27 + 19 - 79 + 26*i**3 + 3*i - i wrt i.
78*i**2 + 2
Let l(v) = -311*v**2 + 142. Let s(o) = 311*o**2 - 133. Let r(j) = -3*l(j) - 4*s(j). What is the derivative of r(i) wrt i?
-622*i
Let t(l) be the first derivative of 7*l**5/60 - 5*l**4/24 + 2*l**2 - 8. Let m(r) be the second derivative of t(r). What is the second derivative of m(b) wrt b?
14
Let s(l) be the second derivative of 2*l**3/3 - 25*l**2 + 73*l. What is the derivative of s(m) wrt m?
4
Let c(p) = p**3 + p + 2. Let k be c(0). Differentiate 4 - 6*g**2 + 0*g**k - g**2 - 3 wrt g.
-14*g
Let g(r) be the first derivative of 8*r**6 + 34*r**3/3 + r**2/2 + 107. Find the third derivative of g(b) wrt b.
2880*b**2
Let a(o) = o - 12. Let h(y) = -y**3 + 11*y**2 - 9*y + 5. Let p be h(10). Let x be a(p). What is the first derivative of -4*c + 6 + x - 3 wrt c?
-4
Let v(c) = c + 29. Let i be v(-20). Find the second derivative of 7*j - 2*j + j**4 - j**4 - i*j**4 wrt j.
-108*j**2
What is the second derivative of 643*s + 320*s - 67*s - 692*s**2 wrt s?
-1384
Let o(v) be the first derivative of -10 - 12*v + 0*v**3 + 3/4*v**4 + 0*v**2. What is the derivative of o(j) wrt j?
9*j**2
Let r be ((-1)/(-3))/((-4)/(-36)). What is the second derivative of 3*f + 5 - 5 + 5*f**r wrt f?
30*f
Let q(j) = -69*j**2 + 2*j - 1. Let k(n) = 345*n**2 - 11*n + 6. Let b(i) = 2*k(i) + 11*q(i). Differentiate b(d) wrt d.
-138*d
Let l(i) be the third derivative of -29*i**6/60 - 4*i**5/15 + i**4/12 - 79*i**2. Find the third derivative of l(p) wrt p.
-348
Find the first derivative of -971 + 139519*c**3 + 264 - 140383*c**3 wrt c.
-2592*c**2
Suppose v + v = 10. Let y be 12/v - 8/20. Find the first derivative of -2*o + 16 + y*o + 2*o**3 - 13 wrt o.
6*o**2
Let d(m) = 231*m**3 + 145*m**2 + 8*m - 4. Let v(s) = s**3 + 2*s - 1. Let f(i) = -d(i) + 4*v(i). Find the third derivative of f(q) wrt q.
-1362
Let v(c) be the first derivative of -323*c**4/4 + 13*c**3/3 - 4*c - 417. What is the third derivative of v(j) wrt j?
-1938
Find the second derivative of t - 36*t**3 + 39 + 25*t**5 + 36*t**3 - t - 6*t wrt t.
500*t**3
Suppose 0 = -h + 3*s + 3, 5*h + s - 17 = -2. What is the second derivative of -3*o + 14*o**3 + h*o - 5*o wrt o?
84*o
Let u(m) = -m**3 - 2*m. Let y(s) = 379*s**3 + 3*s**2 + 13*s. Let h(a) = -6*u(a) - y(a). What is the third derivative of h(k) wrt k?
-2238
Let h be (-654)/(-26) - (-20)/(-130). Find the third derivative of -t**3 - 20*t**2 + 27*t**5 - h*t**2 - 2*t**2 wrt t.
1620*t**2 - 6
Suppose -89*c = -97*c + 272. Suppose 0 = 4*d - 2 - 10. Differentiate c - 7 - 16 + 3*f**d with respect to f.
9*f**2
Let v(s) be the first derivative of -21/2*s**4 - 9*s + 0*s**2 - 10 + 0*s**3. Find the first derivative of v(i) wrt i.
-126*i**2
Let b(c) be the third derivative of c**5/20 - c**4/3 + 433*c**3/6 - 299*c**2. What is the derivative of b(t) wrt t?
6*t - 8
Let u(j) be the third derivative of 16*j**7/35 + 49*j**5/60 - 3*j**2 + j. Find the third derivative of u(t) wrt t.
2304*t
Let v = -449 + 451. Let d(s) be the first derivative of -1/2*s**2 - 3 + v*s. Differentiate d(p) with respect to p.
-1
Let j(i) = i**3 + 13*i**2 - 8*i - 33. Let g be j(-13). What is the third derivative of 7*s**2 + g*s**4 - 48*s**4 - 20*s**2 wrt s?
552*s
Let g be 0/(-1) - (-1 + -1). Let r be (-10)/65 + 396/39. Find the third derivative of 4*y**g - r*y**6 - y**2 + 6*y**6 wrt y.
-480*y**3
Let i(j) be the second derivative of 103*j**3/2 + 81*j**2/2 + 255*j. What is the derivative of i(o) wrt o?
309
What is the derivative of 10 - 7 + 39*k**3 - 5 - 46 wrt k?
117*k**2
Suppose 0 = -3*z - 0 + 12. Find the third deriv