nd derivative of -n**7/21 + 43*n**6/30 + 50*n**3/3 - n**2 + n - 20. Find the second derivative of c(d) wrt d.
-40*d**3 + 516*d**2
Let m(i) = -i**3 - i**2 - i + 1. Let l(s) = -2*s**4 + 5*s**3 + 6*s**2 + 6*s - 85. Let o(a) = l(a) + 6*m(a). Find the first derivative of o(q) wrt q.
-8*q**3 - 3*q**2
Let i(d) be the second derivative of 131*d**5/20 + d**4/3 + 3*d**2/2 - 177*d. What is the third derivative of i(w) wrt w?
786
Let m(b) be the first derivative of -29*b**4/4 + 137*b + 53. Differentiate m(r) with respect to r.
-87*r**2
What is the derivative of -11 - 80*y**3 + 79*y**3 + 55 + 9 + 19 + 19*y**2 wrt y?
-3*y**2 + 38*y
Suppose -4*c + 0*t - 3*t = -57, -5*c + 3*t + 51 = 0. Let w be (-8 - (-59)/7)*14. Find the third derivative of 7*i**2 - 5*i**6 - 2*i**2 + i**2 + c*i**w wrt i.
840*i**3
Let i(u) be the third derivative of -269*u**4/24 - 69*u**3/2 + 48*u**2. What is the derivative of i(x) wrt x?
-269
Let m(h) be the first derivative of -12 - 5/2*h**4 + 0*h + 0*h**3 + 5*h**2. What is the second derivative of m(z) wrt z?
-60*z
Let i(s) be the third derivative of -97*s**5/30 + 59*s**4/6 - 163*s**2. Find the second derivative of i(x) wrt x.
-388
Let k(n) = 354*n**4 + 124*n. Let b(g) = -71*g**4 - 25*g. Let x(w) = -11*b(w) - 2*k(w). Find the second derivative of x(d) wrt d.
876*d**2
Differentiate 53*m**3 - m + m + 76 - 48*m**3 wrt m.
15*m**2
Suppose -x + 6*x = 0. Suppose -6*f + 4*f = x. Differentiate -1 + j**2 - 6*j**2 - 5 + f with respect to j.
-10*j
Let a be (-16)/(-5) - (-96)/(-80). Let p(g) be the first derivative of -5/3*g**3 + 0*g + 0*g**a + 13 - g**4. Find the third derivative of p(h) wrt h.
-24
Let w(k) = -10*k - 13. Let z(j) = 9 + 22 + 59 + 15 + 81*j. Let i(f) = 33*w(f) + 4*z(f). Find the first derivative of i(q) wrt q.
-6
Let d(s) be the first derivative of 136*s**3 + 298*s**2 - 1022. Find the second derivative of d(r) wrt r.
816
Let u(a) be the second derivative of a**5/15 - 13*a**4/24 - 2*a**3/3 + 6*a. Let o(w) be the second derivative of u(w). Differentiate o(s) wrt s.
8
Let z(i) be the first derivative of 9 + 0*i**5 - i**7 + 0*i**2 - 2/3*i**3 + 0*i**6 + 0*i + 0*i**4. What is the third derivative of z(m) wrt m?
-840*m**3
Let h(w) = -w**4 - 3*w**3 + 13*w - 34. Let i(p) = p**4 + 4*p**3 - 12*p + 34. Let c(g) = -4*h(g) - 3*i(g). Differentiate c(d) with respect to d.
4*d**3 - 16
Let i(q) = 4*q**4 + 6*q**3 - 48*q - 105. Let t(h) = 5*h**4 + 7*h**3 - 50*h - 105. Let v(u) = 7*i(u) - 6*t(u). Find the first derivative of v(x) wrt x.
-8*x**3 - 36
Let k(c) = -384*c + 192. Let r(y) = -2*y + 1. Let p(h) = -k(h) + 160*r(h). What is the derivative of p(j) wrt j?
64
Let g(f) be the first derivative of 0*f**4 + 3/5*f**5 - 12*f + 8 + 0*f**3 + 0*f**2. What is the first derivative of g(y) wrt y?
12*y**3
Let z(o) = -o**3 + 6*o**2 - 6*o + 8. Let d be z(5). Let h(y) be the first derivative of -y - 1/2*y**2 + d. Differentiate h(u) wrt u.
-1
Let c(z) be the second derivative of -4*z + 1/2*z**2 - 2*z**4 - 2/3*z**3 - 1/20*z**5 - 2. What is the second derivative of c(i) wrt i?
-6*i - 48
Let m(n) be the first derivative of n**5/5 + 59*n**4/2 - 195*n + 27. What is the derivative of m(g) wrt g?
4*g**3 + 354*g**2
Suppose 2*a - 46 = 7*a - 2*g, 3*g = -a - 16. Let i be -2 - 2*a/4. What is the third derivative of -3*p**4 + i*p**2 + 2*p**2 - 2*p**4 wrt p?
-120*p
What is the third derivative of 26*g**2 + 14*g**3 - 30 - 12*g**2 + 129*g**3 - 12*g**2 - 68 wrt g?
858
Let l = 4 + -2. Let j be (-7 - -1)/(1/(13 + -14)). Find the second derivative of 30*x + 0*x**5 - l*x**5 - 31*x - j*x**5 wrt x.
-160*x**3
What is the second derivative of 128*t + 36*t**3 + 2074 + 35*t - 2074 wrt t?
216*t
Let l(d) be the second derivative of 3*d**7/280 + 17*d**4/24 + 7*d**3/3 + d**2 - 41*d. Let t(z) be the second derivative of l(z). Differentiate t(h) wrt h.
27*h**2
Suppose 31*t = 10*t. Let v(r) be the second derivative of t*r**2 + 6*r - 4/3*r**3 + 0*r**4 + 0 + 1/10*r**5. What is the second derivative of v(a) wrt a?
12*a
Suppose 0*q - 5*q + 44 = 4*g, 3*q = -3*g + 30. Find the third derivative of -3*c**2 - 5*c**3 - 5*c**2 - g*c**3 - 7*c**2 wrt c.
-66
Let b(s) = s**6 - s**5 - s + 1. Let a(t) = -93*t**6 + 2*t**5 - 37*t**2 + 2*t - 2. Let c(u) = -a(u) - 2*b(u). Find the third derivative of c(k) wrt k.
10920*k**3
Let t(g) be the second derivative of -169*g**8/56 - g**4/6 + 17*g**3/6 - 30*g. What is the third derivative of t(x) wrt x?
-20280*x**3
Suppose 0 = 4*p + 5 - 29. Let k = -2 + p. Differentiate 15*b**k - 17*b**4 - 1 + 6 wrt b.
-8*b**3
Find the second derivative of 77*k**2 - 38*k - 5*k - 97*k wrt k.
154
Let b(y) = 4*y**2 + 3*y - 5. Let m be b(2). What is the first derivative of -172*p - m - 19*p**2 + 172*p wrt p?
-38*p
Suppose -5*z + 0*f + f = -33, 3*z - 30 = 4*f. Find the third derivative of -2*p**5 + 9*p**2 + p**z + 13*p**5 - 11*p**5 wrt p.
120*p**3
Suppose 12 = 8*f - 2*f. What is the second derivative of j - 3*j**2 + 2*j**2 + 13*j**f wrt j?
24
Let p be 1/4 + 14/8. Suppose 0 = 2*r + 5*f - 24, 5*f - 14 = 3*r. Find the third derivative of l**4 - l**3 + l**3 + 0*l**3 + r*l**p wrt l.
24*l
Suppose -4*j = 4*o - 52, 5*o + 3*j = o + 52. Let s = -9 + o. What is the third derivative of 8*m**s - 17*m**4 + 13*m**4 - 7*m**2 wrt m?
96*m
Let r(j) be the first derivative of 69*j**4/2 + 8*j**2 - 5*j + 510. Find the second derivative of r(n) wrt n.
828*n
Suppose 24*l - 28*l + 80 = 0. Find the second derivative of -12*h**3 + 27*h + 14*h**3 - l*h**3 wrt h.
-108*h
Let q(z) = -z**2 + 6*z - 6. Let p be q(4). Let o(s) = -2*s + 22. Let k be o(9). Find the third derivative of 2*v**4 - 8*v**2 - 2*v**2 + 4*v**5 - p*v**k wrt v.
240*v**2
What is the third derivative of 112*p**3 + 461*p**2 + 27091*p - 194*p**3 - 27091*p - 146*p**3 wrt p?
-1368
Find the third derivative of -183*s**4 + 8*s - s + 185*s**4 + 0*s**2 + 14*s**3 + 2*s - 3*s**2 wrt s.
48*s + 84
Differentiate 3*k**4 - 8*k**2 - k**2 - 38 + 4*k**2 + 14 + 7*k**2 wrt k.
12*k**3 + 4*k
Let w(t) = -t. Let o(s) = -50*s**3 - 12*s - 42. Let d(i) = -5*o(i) + 60*w(i). Find the first derivative of d(u) wrt u.
750*u**2
Suppose 2*v = -l + 39, 5*v = 10*v + 3*l - 95. Find the first derivative of 5*a**2 + 7*a**2 + v - 5*a**2 wrt a.
14*a
Find the third derivative of -35*k**2 + 0*k**3 + 106*k**2 + 0*k**3 - 163*k**6 - 6*k + 4*k wrt k.
-19560*k**3
Find the first derivative of 150 - 564 + 364*y**3 - 91 - 1252*y**3 wrt y.
-2664*y**2
Suppose 9 = -5*l + 44. Find the second derivative of l*d + 14*d**4 + 12*d - 5*d wrt d.
168*d**2
Let q(k) = 363*k**2 + 21*k - 73. Let c(i) = -121*i**2 - 7*i + 26. Let y(x) = -11*c(x) - 4*q(x). What is the second derivative of y(o) wrt o?
-242
Let x(b) = b - 2. Let o be x(8). Let i be 38/o - 4/(-6). What is the third derivative of -i*v**3 - 3*v**3 + 4*v**2 + 0*v**3 wrt v?
-60
Find the third derivative of -215*t**5 + 17*t**2 + 22*t**2 - 106*t + 205*t - 9*t**2 - 101*t wrt t.
-12900*t**2
Let q(u) be the first derivative of 16/3*u**3 - 51 - u + 9*u**4 + 0*u**2. What is the third derivative of q(d) wrt d?
216
Let l(h) = 86*h - 85. Let n(d) = -85*d + 86. Let o(r) = -5*l(r) - 6*n(r). What is the first derivative of o(v) wrt v?
80
Suppose 4*w - 20 = -4*i, -4*w - 2*i + 13 + 13 = 0. Suppose 319 - 315 = 2*o. What is the third derivative of -19 + 7*t**o + 19 - w*t**4 wrt t?
-192*t
What is the third derivative of -13*v**4 - 11*v**2 + 28*v**2 - 20*v**2 + v + 3*v**3 wrt v?
-312*v + 18
Find the second derivative of 3*z**4 - 17 - 5*z**5 - 35*z**4 - 10*z + 3*z**5 + 5 + 2*z wrt z.
-40*z**3 - 384*z**2
Find the second derivative of -3*i**2 + 59*i - 28*i**2 + i**2 + 13*i**2 wrt i.
-34
Let u(h) be the second derivative of -9/20*h**5 + 0*h**3 - 12*h + h**4 + 0 + 0*h**2. Find the third derivative of u(z) wrt z.
-54
Let x = 58 + -50. Differentiate -x - 4 + 4 + 4 + 12*p**2 wrt p.
24*p
What is the derivative of -239 - 1748*p**2 + 1402*p**2 + 871*p**2 wrt p?
1050*p
Let k(p) be the second derivative of p**6/15 - 5*p**3/6 + 6*p**2 + 19*p + 1. What is the derivative of k(n) wrt n?
8*n**3 - 5
Suppose 0 = 3*v - 3, -2*u + 12 = -4*v - 12. What is the third derivative of -8*c**2 + 4 - u*c**3 - 3 - 1 wrt c?
-84
Let y = 145 + -139. What is the third derivative of 0*g**6 - 18*g**y + 35*g**2 + 52*g**6 wrt g?
4080*g**3
Suppose -11 = -l + 10. Suppose -66 = -5*z - 2*k, 0*z = -2*z + k + l. Find the second derivative 