4*q**2 wrt q?
-768*q
Let o(p) be the second derivative of p**8/672 - p**5/60 - 3*p**4/4 + 12*p. Let d(m) be the third derivative of o(m). Differentiate d(j) with respect to j.
30*j**2
Let w be 2/(4 - (-42)/(-11)). Let k(o) = -6*o + 7. Let y(u) = 19*u - 20. Let x(h) = w*k(h) + 4*y(h). What is the derivative of x(n) wrt n?
10
Let n(m) = 138*m**4 - 8*m**3 - 5*m**2 + 5*m + 425. Let w(l) = -l**3 - l**2 + l - 1. Let r(y) = -n(y) + 5*w(y). What is the first derivative of r(t) wrt t?
-552*t**3 + 9*t**2
Let y(a) = -6*a + 2 - 4 + 0 + 4. Let f be y(-1). Find the third derivative of 0*i**2 + f*i**3 + 6*i**4 - 3*i**2 - 8*i**3 wrt i.
144*i
Let m(q) = 16*q**5 - 17*q + 6. Suppose -70*n = -72*n + 2. Let v(c) = 1. Let f(w) = n*m(w) - 6*v(w). What is the second derivative of f(a) wrt a?
320*a**3
Suppose -6*p + 5*p + 8 = 0. Differentiate -p*x**2 - 25 - x**2 - 12*x**2 - 2*x**2 wrt x.
-46*x
Let s = -10 - -12. Let z(r) = r**2 - r + 2. Let k be z(0). Find the first derivative of -7 - 3*y**2 - 6*y**s + 2 + 3*y**k wrt y.
-12*y
Let j(r) be the second derivative of -59*r**7/42 + 4*r**4/3 + 10*r - 2. Find the third derivative of j(s) wrt s.
-3540*s**2
Suppose -1 = 5*j + 2*q, j + 10 = 5*j - 2*q. Suppose 4*r - 7 - j = 0. What is the second derivative of -r*t + 7*t + 4*t**4 - 8*t wrt t?
48*t**2
Let t(o) = 31*o**2 + 4*o + 3. Let k be t(-1). Find the third derivative of -2*b**6 + k*b**2 - 51*b**2 - 6*b**6 wrt b.
-960*b**3
Let y be 12/(-6) - -1*(-2 - -6). Find the third derivative of 3*n**y + 682*n - 682*n - 15*n**5 wrt n.
-900*n**2
Let m(j) be the third derivative of j**6/60 - 35*j**4/24 + 20*j**3/3 - 31*j**2. Let q(u) be the first derivative of m(u). Differentiate q(l) with respect to l.
12*l
Let n(t) = -19*t**2 - 34*t + 494. Let m(o) = -9*o**2 - 17*o + 249. Let c(y) = -13*m(y) + 6*n(y). Differentiate c(z) with respect to z.
6*z + 17
Let k(c) be the third derivative of 0 + 0*c**3 + 0*c**6 + 0*c + 5*c**2 - 9/70*c**7 + 0*c**5 + 19/24*c**4. What is the second derivative of k(z) wrt z?
-324*z**2
Let o(t) = 21*t**5 + 2*t**3 + 66*t**2 - 2. Let w(p) = -p**5 - p**3 + 1. Let q(u) = o(u) + 2*w(u). What is the third derivative of q(l) wrt l?
1140*l**2
Let q(c) = c**3 + 3*c**2 + c + 1. Let h(m) = -354*m**3 + 12*m**2 - 337*m + 4. Let t(w) = h(w) - 4*q(w). Find the second derivative of t(l) wrt l.
-2148*l
Let p(g) be the third derivative of -g**6/120 - g**5/30 - g**4/24 + g**3/3 - 6*g**2. Let t be p(-2). What is the first derivative of 1 + 5 - 8*u**t - 4 wrt u?
-32*u**3
Let i(z) = 18*z**5 - 88*z**2 + 3*z. Let d(g) = g**5 + g**2 - g. Let f(h) = 3*d(h) + i(h). What is the third derivative of f(k) wrt k?
1260*k**2
Find the third derivative of 5358*w - 231*w**2 + 275*w**6 - 5358*w wrt w.
33000*w**3
Let f(d) be the second derivative of 27/2*d**2 + 1/20*d**5 + 0*d**3 - 4 + 1/6*d**4 + 4*d. Differentiate f(r) with respect to r.
3*r**2 + 4*r
Let m be (-2)/(-6) + (-1)/3. Suppose -6 = -4*i - 42*y + 37*y, 2*i + 4*y = 0. Differentiate -i + m - 7*j**2 + 9*j**2 with respect to j.
4*j
Let r(m) = 2*m**2 - m - 2. Let w(h) = 62*h**2 + 10*h - 156. Let b(j) = 10*r(j) + w(j). What is the first derivative of b(o) wrt o?
164*o
Let i(v) be the second derivative of -1/6*v**4 + 1/2*v**5 + 0*v**3 + 8*v + 0*v**2 + 0. What is the third derivative of i(g) wrt g?
60
Let y(u) be the second derivative of 29*u**8/14 + 95*u**4/12 - 64*u. What is the third derivative of y(q) wrt q?
13920*q**3
Let y = -19 - -20. Suppose 0 = -h + 1 + y. What is the second derivative of 205*k**2 + k**4 - 7*k - 205*k**h wrt k?
12*k**2
Let n = 1144 - 1144. Let g(q) be the second derivative of 0*q**4 + n - 9*q + 0*q**5 + 0*q**3 + 1/2*q**2 - 3/10*q**6. Differentiate g(z) wrt z.
-36*z**3
Let n(z) be the third derivative of 11*z**7/21 + 56*z**3/3 - 2*z**2 + z. What is the first derivative of n(v) wrt v?
440*v**3
Let o be ((-8)/(-3))/((-24)/(-36)). Suppose -o*n + 135 = n. What is the second derivative of 2*b - b - 7*b**2 - 27 + n wrt b?
-14
Find the third derivative of 0*s**5 + 2*s - s**3 - 17*s**3 + 26*s**2 - 6*s - 4*s**5 - 9*s**3 wrt s.
-240*s**2 - 162
Let v(d) = 118*d**3 - 212*d**2 + 2*d + 4. Let k(t) = 117*t**3 - 211*t**2 + 3*t + 6. Let s(n) = 2*k(n) - 3*v(n). What is the third derivative of s(r) wrt r?
-720
Let z(i) be the first derivative of 3 - 3*i**5 + 5*i**5 - 7 - 7*i. Find the first derivative of z(m) wrt m.
40*m**3
Let j be (-2)/((4/(-6))/1). Let s be j + 1*(-1 + 0). What is the third derivative of -s*a**4 + 0*a**2 - a**2 - 4*a**2 + 0*a**4 wrt a?
-48*a
Let z(l) be the third derivative of -47*l**7/105 + 173*l**4/24 + 7*l**2 - 6. What is the second derivative of z(d) wrt d?
-1128*d**2
Let s(n) = -152*n**3 - 4*n**2 + 193. Let r(p) = 305*p**3 + 9*p**2 - 385. Let z(c) = 4*r(c) + 9*s(c). Differentiate z(w) with respect to w.
-444*w**2
Suppose 3*d + 21 = 5*h - 0*d, -2*h + 2*d + 10 = 0. Suppose f + 2*f = 6. What is the third derivative of -5*y**f + 10*y**2 - 3*y**2 + h*y**4 wrt y?
72*y
Differentiate 137*u - 18*u + 24*u + 3347 - 3273 with respect to u.
143
Let p(c) = 3*c**2 + 266*c + 380. Let f(a) = -7*a**2 - 533*a - 761. Let m(x) = -4*f(x) - 9*p(x). What is the first derivative of m(n) wrt n?
2*n - 262
Let m(r) = -43*r**2 + 58*r. Let g(s) = -14*s + 77*s - 37*s**2 + 24*s - 27*s**2. Let x(t) = -5*g(t) + 8*m(t). Find the second derivative of x(a) wrt a.
-48
Let c(n) = n**2 + 9*n + 17. Let i be c(-7). Find the second derivative of -3*m + 2*m**2 + 0*m**2 + 8*m**2 + i*m**2 wrt m.
26
Let g(n) = -n**3 + 9*n**2 - 28*n**2 + 5*n**2 + 1 + 13*n**2. Let f(j) = -40*j**3 - 2*j**2 + 12. Let c(x) = f(x) - 2*g(x). What is the derivative of c(q) wrt q?
-114*q**2
Let b(i) be the first derivative of 13*i**9/504 + 2*i**5/15 + i**2/2 + 14. Let c(o) be the second derivative of b(o). Find the third derivative of c(h) wrt h.
1560*h**3
Let a(s) be the first derivative of 15*s**6 - s**4/2 + 204*s**3 - 421. Find the third derivative of a(c) wrt c.
5400*c**2 - 12
Let i(q) be the second derivative of 2*q**6/15 - q**5 - 48*q**3 + 91*q. What is the second derivative of i(a) wrt a?
48*a**2 - 120*a
Let m(w) be the third derivative of 19*w**7/42 + 11*w**5/60 - 5*w**3/6 + 88*w**2. What is the third derivative of m(l) wrt l?
2280*l
Let m(b) be the first derivative of 0*b**4 + 0*b**2 - 6 - 4/5*b**5 + 0*b - 3*b**3. Find the third derivative of m(g) wrt g.
-96*g
Let m(i) be the third derivative of -141*i**6/40 + 265*i**4/12 + i**2 + 80. Find the second derivative of m(j) wrt j.
-2538*j
Let g(h) be the second derivative of -7*h**6/3 - h**5/10 + h**4/6 + h**3/6 - 70*h - 2. Find the third derivative of g(c) wrt c.
-1680*c - 12
Let c(m) = -45*m**3 + 186*m**2 + 2*m - 2. Let i(d) = 226*d**3 - 931*d**2 - 11*d + 11. Let s(l) = 11*c(l) + 2*i(l). What is the third derivative of s(b) wrt b?
-258
What is the third derivative of -29*n**2 - 87*n**3 + 14 - 14 + 52*n**2 wrt n?
-522
Find the second derivative of -185*w**3 - 3*w**5 - 11*w - 2 - 3*w**2 + 185*w**3 wrt w.
-60*w**3 - 6
Let j(h) = h + 23. Let q be j(18). Find the third derivative of -75*o**2 + 40*o**2 - 6*o**5 + q*o**2 wrt o.
-360*o**2
Let u = -10 - -4. Let k be (u/(-2))/((-4)/(-4)). Find the first derivative of -k*z - 3 - 3 + 2 - 3 wrt z.
-3
Let b(u) = -3 + u + 6*u**2 - 6*u + 3 - u**3 + 4. Let n be b(5). Find the third derivative of 17*m**n + 6*m**6 - 17*m**4 + 4*m**2 wrt m.
720*m**3
What is the second derivative of 0*p**2 + 3424 + 2*p**2 + 2*p + 198*p**3 - 3283 - 4*p**2 wrt p?
1188*p - 4
What is the third derivative of -14*f**4 + 10*f**4 + 7*f**4 - f**2 - 2*f - 2*f**3 - 5*f**3 wrt f?
72*f - 42
What is the third derivative of -13*m + 99*m**3 - 71*m**2 + 13*m - 129*m**3 wrt m?
-180
Let g(q) = -11*q**4 + 3*q**3 + 5*q - 392. Let v(l) = -120*l**4 + 34*l**3 + 56*l - 4312. Let r(k) = 68*g(k) - 6*v(k). Differentiate r(w) wrt w.
-112*w**3 + 4
Suppose -5*s - 16 - 17 = -2*o, 7 = 3*o + s. Find the second derivative of -63*c - 31*c**4 + 11*c**o + 47*c wrt c.
-240*c**2
Differentiate 35 - 5*c**3 + 137*c**2 - 71*c**2 - 52*c**2 - 4*c**3 wrt c.
-27*c**2 + 28*c
Find the second derivative of -721*l - 18*l**4 + l**2 - 25*l**4 - 8 + 3 + 738*l wrt l.
-516*l**2 + 2
Let r(y) be the third derivative of -y**6/10 + 37*y**5/60 - 20*y**2. What is the third derivative of r(c) wrt c?
-72
Let q(m) be the third derivative of -49*m**7/30 + m**4/24 + 20*m**3/3 + 53*m**2 - 3.