g - 17. Let o(t) = -t. Let c(a) = p*o(a) - k(a). Differentiate c(d) with respect to d.
22
What is the first derivative of -19 + 432*y**4 - 423*y**4 + 61 wrt y?
36*y**3
Let u(z) = -3*z**3 - 2*z**2 + 65*z + 4. Let t(s) = 12*s**3 + 11*s**2 - 326*s - 22. Let f(a) = 2*t(a) + 11*u(a). What is the second derivative of f(l) wrt l?
-54*l
Let v(t) be the second derivative of -t**7/10 - t**5/4 - 17*t**2/2 + 16*t. Let b(c) be the first derivative of v(c). Find the third derivative of b(g) wrt g.
-504*g
Suppose -5*s + 0*s + 37 = 3*h, -3*s + 23 = 2*h. What is the third derivative of -21*z**2 + 10*z - 10*z + 14*z**h + 29*z**2 wrt z?
336*z
Let t(u) be the first derivative of 27*u**4/4 + u**3 + 10*u**2 + 51. Find the second derivative of t(k) wrt k.
162*k + 6
Let s(o) be the third derivative of 0*o**5 - 13/24*o**4 + 0*o**3 + 0 - 17/120*o**6 + 0*o - 41*o**2. Find the second derivative of s(j) wrt j.
-102*j
Let k(z) = z**2 + 6*z - 22. Let j be k(-9). Find the second derivative of -46*n + n**5 + n**4 - 4*n**j + 44*n + 8 wrt n.
-60*n**3 + 12*n**2
Find the second derivative of 10591*i**2 + 133*i - 10591*i**2 - 127*i**4 wrt i.
-1524*i**2
What is the third derivative of -21*s**2 + 19*s**2 + 60 - 18 + 248*s**4 wrt s?
5952*s
Let d(q) be the third derivative of -q**6/120 - 7*q**4/12 + 9*q**3/2 - 34*q**2. Differentiate d(m) with respect to m.
-3*m**2 - 14
Let b(t) be the second derivative of -11/6*t**3 + 0 - 1/4*t**4 + 2*t + 0*t**2. Find the second derivative of b(x) wrt x.
-6
Suppose 16 = -4*d, -3*d = 3*i - i + 6. Suppose i*f - 12 = 4*r, 0 = -5*r + 2*f - 6*f + 16. What is the derivative of -2*b**3 - 6 - 2*b**3 + r*b**3 + 0 wrt b?
-12*b**2
Let t(p) be the second derivative of 0*p**2 + 0 + 0*p**4 - 7/5*p**6 + 11/3*p**3 + 0*p**5 + 36*p. What is the second derivative of t(q) wrt q?
-504*q**2
Let t(s) be the first derivative of 7 - 6*s**2 + 0*s**4 + 0*s**5 + 0*s**3 + 11/6*s**6 + 0*s. Find the second derivative of t(q) wrt q.
220*q**3
Let b(y) = -y**3 - 2*y**2 + y - 2. Let i(d) = -318*d**3 + 12*d**2 - 6*d - 61. Let g(n) = 6*b(n) + i(n). Differentiate g(x) wrt x.
-972*x**2
Suppose 3 = 29*v + 3. Let k(x) be the first derivative of 0*x**5 - 3 - 5/3*x**3 + 2/3*x**6 + v*x**2 + 0*x**4 + 0*x. Find the third derivative of k(j) wrt j.
240*j**2
Let o(h) be the first derivative of -h**3 + 0*h**4 + 0*h + 0*h**2 - 5 - 9/5*h**5. Find the third derivative of o(n) wrt n.
-216*n
Let r(u) = u**6 + u**2 + u + 1. Let l(h) = 72*h**6 - 70*h**2 - 8*h - 8. Let m(s) = l(s) + 8*r(s). Find the third derivative of m(t) wrt t.
9600*t**3
Let j(v) be the third derivative of -97*v**8/168 - 159*v**5/10 + 511*v**2. What is the third derivative of j(z) wrt z?
-11640*z**2
Suppose -16*w + 10 = -11*w. Let b(u) be the second derivative of -5*u + 0*u**3 + 0*u**4 - 3/20*u**5 + 0 + 2*u**w. What is the derivative of b(y) wrt y?
-9*y**2
Let s be (((-48)/(-10))/2)/((-6)/(-15)). What is the third derivative of 5*t**s - 34*t**2 - 14*t**6 + 14*t**6 wrt t?
600*t**3
Let r(b) = b**2 + 1. Let z(y) = -4*y**2 - 4*y - 5. Let c(f) = 5*r(f) + z(f). Let l be c(5). Find the second derivative of -5*o - o + l*o**3 + 4*o wrt o.
30*o
Let s(j) be the first derivative of -j**8/280 + j**4/4 + 13*j**3/3 - 7. Let d(i) be the third derivative of s(i). What is the first derivative of d(c) wrt c?
-24*c**3
Let c(z) = -z**2 - 8*z - 6. Let l be c(-6). Let o(i) be the first derivative of i**l + 2*i + i**3 - 2*i - 3 + 1. Find the third derivative of o(v) wrt v.
360*v**2
Suppose -11 = 3*i - 5. Let f be i/(4 - 6)*5. What is the third derivative of -f*n**6 + n**6 - 4*n**2 + 8*n**2 wrt n?
-480*n**3
Let h(o) = -o**5 - 1. Let a = 32 - 37. Let f(x) = 14*x**6 + 5*x**5 + 10*x**2 + 5. Let d(j) = a*h(j) - f(j). Find the third derivative of d(m) wrt m.
-1680*m**3
Find the second derivative of -98*i**3 + 34*i**3 - 61978*i + 62112*i wrt i.
-384*i
Let m(t) = t**2 + 18*t + 21. Let l be m(-17). Suppose 0*q + 18 = 3*q. Find the third derivative of 7*b**4 - 5*b**4 - 2*b**l + 11*b**2 - 2*b**q wrt b.
-240*b**3
Let a(j) be the first derivative of 59*j**2 + 46*j + 126. Find the first derivative of a(r) wrt r.
118
What is the third derivative of 19 - 17*m**2 - 5*m**3 - 176*m**3 - 9*m**3 + 16*m**2 wrt m?
-1140
Let x(p) be the second derivative of 41*p + 0*p**3 - 25/12*p**4 + 8/5*p**6 + 0 + 0*p**2 + 0*p**5. What is the third derivative of x(t) wrt t?
1152*t
Let j(m) = 7*m**6 - 9*m**4 - 4*m**2 + 6*m + 50. Let v(t) = t**6 - t**4 - t**2 + t - 1. Let w(o) = -j(o) + 6*v(o). Find the third derivative of w(s) wrt s.
-120*s**3 + 72*s
Let k(j) = 141*j**2 + 5*j - 11. Let a(h) = -142*h**2 - 6*h + 11. Let u(i) = -2*a(i) - 3*k(i). Find the second derivative of u(o) wrt o.
-278
Let b(d) = d**2 + 6*d + 11. Let g be b(-4). Find the second derivative of -g*x**4 + x + 8*x + 11*x**4 - 3*x**4 wrt x.
60*x**2
Let x(o) be the second derivative of o**7/60 + o**6/30 - o**3/2 + 13*o. Let q(k) be the second derivative of x(k). Find the third derivative of q(v) wrt v.
84
Suppose 5*g = -4*l + 5*l - 29, -25 = 5*g. Differentiate 6*b + 2 + l + 2 + 4 with respect to b.
6
Let g(u) be the third derivative of u**5/12 - 3*u**4/8 + 35*u**3/3 + 49*u**2. What is the derivative of g(f) wrt f?
10*f - 9
Let u(i) be the second derivative of -63*i**5/5 - 17*i**3/2 + i**2/2 - 293*i. What is the second derivative of u(b) wrt b?
-1512*b
Let s(d) = -318*d**3 + 782*d**2 - 3*d - 3. Let i(z) = -636*z**3 + 1566*z**2 - 5*z - 5. Let g(p) = -3*i(p) + 5*s(p). Find the third derivative of g(r) wrt r.
1908
Let k(w) = 59*w**4 + 5*w**2 - 184*w. Let f(l) = 88*l**4 + 7*l**2 - 276*l. Let i(q) = -5*f(q) + 7*k(q). What is the second derivative of i(b) wrt b?
-324*b**2
Let g(s) be the second derivative of -10*s**2 - 5/6*s**3 + 0 + s. Differentiate g(k) with respect to k.
-5
Let c(v) = -v**2 + 9*v - 5. Let l be c(8). Suppose l*n + 4 = -5*x, -x - 12 = -5*n - 0*x. Find the second derivative of -n*s + 4*s**3 - 14 + 23 - 9 wrt s.
24*s
Let s = 10 - 10. Suppose l - 2 = -3*r - 0, -4*r + 2*l - 4 = s. Find the second derivative of -o + r*o - 7*o + 4*o**4 + 5*o wrt o.
48*o**2
What is the second derivative of 200*s + 40*s**3 + 144*s**4 + 50*s**3 - 90*s**3 wrt s?
1728*s**2
Let f(c) be the first derivative of 3*c**5/5 + c**4 - 10*c - 5. Let y(x) be the first derivative of f(x). Find the third derivative of y(m) wrt m.
72
Let a(b) = -98*b**2 - 10*b + 94. Let c(y) = -y**2 - y. Let v(h) = -a(h) + 10*c(h). What is the first derivative of v(k) wrt k?
176*k
Let t be (-4 - -1)/3 + 6. Let d(j) be the second derivative of -t*j**2 + 0 + 4/3*j**3 + 6*j. What is the derivative of d(l) wrt l?
8
Let s be (-63)/(-28) - (-1)/(-4). Find the second derivative of -19*v**3 + 20*v**3 - 2*v**s - 60*v - 2*v**2 - 10*v**2 wrt v.
6*v - 28
Let f be (-3)/(-3 - 425/(-142)). Differentiate 4 + 3*r**2 - f*r + 426*r with respect to r.
6*r
Let n be (4/(-10))/((-6)/30). Find the second derivative of 7*y + 14*y**2 + 8*y**n - 9*y**2 wrt y.
26
Let f = -49 - -139. Suppose 0 = 2*d - 5*d + f. Differentiate -1 + 4*v**4 + d*v**2 - 30*v**2 wrt v.
16*v**3
Let i(t) be the second derivative of -61*t**6/30 - 81*t**2/2 + 83*t. Find the first derivative of i(o) wrt o.
-244*o**3
Let s(q) = -33*q**2 - 95*q + 2525. Let u(m) = -24*m**2 - 72*m + 1894. Let d(c) = 7*s(c) - 9*u(c). Find the first derivative of d(y) wrt y.
-30*y - 17
Let y = 7 - 5. Suppose 4*g = -y*w, 3*w - 6*w = -3*g. Differentiate 35*m**4 - 40*m**4 + 11 + g wrt m.
-20*m**3
Suppose 4*x + 3*y - 2*y + 32 = 0, 3*x + 4*y = -11. Let n be x/(-1)*(2 + -1). What is the third derivative of -10*f**6 - 3*f**4 + 3*f**4 + n*f**6 - 4*f**2 wrt f?
-120*f**3
Let h(b) = -115*b**5 - 16*b**2 - 2*b - 1. Let y(g) = -229*g**5 - 34*g**2 - 5*g - 2. Let x(p) = 10*h(p) - 4*y(p). What is the third derivative of x(n) wrt n?
-14040*n**2
Let b(z) be the second derivative of -64*z**6/15 + z**4/6 - 383*z**3/6 - 30*z - 5. Find the second derivative of b(k) wrt k.
-1536*k**2 + 4
Let f(i) be the second derivative of 12*i**6/5 - 51*i**3/2 - 108*i + 2. Find the second derivative of f(k) wrt k.
864*k**2
What is the second derivative of 8*l - 191*l**4 - 44*l - 6*l wrt l?
-2292*l**2
Let i be (41/(-2))/(1/(-6)). Differentiate -3 + 104*q**4 - i*q**4 - 8 with respect to q.
-76*q**3
Let h(z) be the second derivative of 82*z**7/21 + z**4/3 + 2*z**2 - 133*z. Find the third derivative of