- 5. What is the derivative of x(p) wrt p?
9*p**2 - 56*p
Let x(s) = -127*s**3 + 3*s**2 + 11*s + 317. Let q(v) = -44*v**3 + v**2 + 4*v + 106. Let t(l) = -11*q(l) + 4*x(l). Find the third derivative of t(n) wrt n.
-144
Let u(t) be the third derivative of 32*t**5/15 - t**4/24 + 4*t**3 - 84*t**2. What is the second derivative of u(a) wrt a?
256
Let q be (-1)/(4/(-32)*-1). Let k be (2/q)/((-5)/2260). What is the second derivative of 113 - 9*s - 8*s**3 - k wrt s?
-48*s
Let o(n) = -n**2 + 16*n + 164. Let f be o(-7). Let x = -1 + 3. What is the derivative of x*k**f + 4 + 5*k**3 - 2*k**3 wrt k?
15*k**2
Let n = 25 - 10. Find the second derivative of -15*t**2 - 4*t - 2*t + 11*t**4 + n*t**2 wrt t.
132*t**2
What is the first derivative of 28 + 108 + 17*s**4 + 21*s**4 - 8*s**4 wrt s?
120*s**3
Let u = 199 - 131. Let j be ((-1)/(-2))/((-1)/(-6)). Find the second derivative of 70*v**4 + 0*v - u*v**4 - j*v wrt v.
24*v**2
Let j(p) = -4*p - 75*p**2 - 11 + p**2 + 18*p. Let z(o) = 15*o**2 - 3*o + 2. Let q(l) = 2*j(l) + 11*z(l). What is the second derivative of q(d) wrt d?
34
Find the second derivative of -43*r + 5*r**4 - 7*r - 21*r + 18*r wrt r.
60*r**2
Suppose -30 - 294 = -4*y. What is the second derivative of 4*i**3 - y - 3*i + 81 wrt i?
24*i
Suppose -5*w - 27 = 2*q - 6, 3*q - 16 = 2*w. Suppose -2*l + 20 = 5*c, -6*l + 2*l + 24 = 2*c. Find the second derivative of q*d + 0*d - 7*d + 3*d - 2*d**l wrt d.
-40*d**3
Let z(c) be the first derivative of 4*c**7/105 + 2*c**3 - 5*c**2/2 - 2. Let u(d) be the second derivative of z(d). What is the first derivative of u(x) wrt x?
32*x**3
Let l(c) be the first derivative of 2*c**3/3 - 57*c**2 + 55*c - 19. What is the derivative of l(p) wrt p?
4*p - 114
Let k = -509 + 1019/2. Let q(p) be the second derivative of 0*p**3 - k*p**4 + 0 + 5*p**2 + 11*p. Differentiate q(l) with respect to l.
-12*l
Let q(k) be the first derivative of -6*k**5/5 + k**3 + 2*k**2 - 8*k - 36. What is the second derivative of q(x) wrt x?
-72*x**2 + 6
What is the second derivative of -u**2 - 2*u**2 - 7*u**2 + 2*u**2 + 6*u**2 - 62*u**3 - 361*u wrt u?
-372*u - 4
Find the third derivative of -22*r**4 + 252 + 6*r + 7*r**2 - 7*r + 6*r**5 - 252 - 15*r wrt r.
360*r**2 - 528*r
Let m(q) = q**2 - 6*q + 4. Let u be m(0). What is the second derivative of -8*s**3 + u - 4 - 2335*s + 2372*s wrt s?
-48*s
Let s(n) be the first derivative of 0*n**2 + 0*n**5 + 0*n**4 - 11/3*n**3 + 9 - 20/7*n**7 + 0*n + 0*n**6. What is the third derivative of s(c) wrt c?
-2400*c**3
Let f = -8 + 14. Suppose -5*d = -5, 0 = 5*n + d - f*d - 65. Find the first derivative of -h**3 - n - 5*h**3 - 2*h**3 + 6 wrt h.
-24*h**2
What is the second derivative of -139*k**3 + 4*k**2 + 547*k - 142*k**3 + 233*k**3 wrt k?
-288*k + 8
Let o(w) be the first derivative of -514*w**5/5 - 2*w**3 + 23*w + 265. What is the third derivative of o(f) wrt f?
-12336*f
Let t(x) = 305*x**3 + 11*x**2 - 11*x - 393. Let v(z) = -152*z**3 - 6*z**2 + 6*z + 196. Let m(o) = 6*t(o) + 11*v(o). What is the first derivative of m(b) wrt b?
474*b**2
Let w be 4 + -1 + (-6)/(-2). Suppose -96 = -15*h + 12*h. What is the first derivative of -3 + w*c**2 + 32*c - h*c wrt c?
12*c
Let k = 8 + 109. Find the third derivative of 117*d + 21*d**6 - k*d - 23*d**2 wrt d.
2520*d**3
Suppose 13*l = 9*l + 12. Differentiate -9*m**3 + 3*m**l + 4 - 15*m**3 with respect to m.
-63*m**2
Let o(w) = 133*w**4 - 15*w**2 - 2*w + 3. Let h(f) = -666*f**4 + 75*f**2 + 11*f - 16. Let g(n) = -2*h(n) - 11*o(n). What is the third derivative of g(v) wrt v?
-3144*v
Suppose 55 + 25 = 5*l. Find the second derivative of l*t + 11*t**4 + 3*t**4 + 10*t**2 - 10*t**2 wrt t.
168*t**2
Suppose 0 = -6*i + 14*i - 24. What is the derivative of -97*w**2 + i + 195*w**2 - 14 - 102*w**2 wrt w?
-8*w
Let f = -44 - -139. Find the second derivative of -8*b - 95 + b**4 + f - 9*b**4 wrt b.
-96*b**2
Let b be 7/(-9) - (-18)/(-81). Let m be 2/(3 + -1) - b. What is the first derivative of -6*l**2 + 0*l**2 - 9 - m*l**2 wrt l?
-16*l
Let u be ((-5)/3)/(1/(-3)). Suppose u*m - 27 - 3 = k, -3*k = -15. Differentiate -3*g**3 + m - 17 + 0*g**3 wrt g.
-9*g**2
Suppose -4*l + l = -6. Let r be 1*(-3 - -1) + 3. What is the third derivative of -7*a**3 + 1 - 3*a**l - r - 3*a**3 wrt a?
-60
Let a(v) be the second derivative of -451*v**5/20 - 71*v**4/3 + v**2 + 65*v - 2. What is the third derivative of a(p) wrt p?
-2706
Find the first derivative of -10 - 24*j + 69 - 29 wrt j.
-24
Let y(m) = 67*m**3 + 2*m**2 + 41*m - 6. Let s(g) = 134*g**3 + 3*g**2 + 84*g - 10. Let a(r) = -3*s(r) + 5*y(r). Find the second derivative of a(c) wrt c.
-402*c + 2
What is the second derivative of 7*j**3 + 22 + 915*j + 56*j**3 - 11 - 2*j**2 - 11 wrt j?
378*j - 4
Let o = -23 - -26. What is the second derivative of 4*f**o + 18*f - f**3 + 3*f**3 - 4*f**3 wrt f?
12*f
Suppose -2*k - 3*k - 4*l - 6 = 0, -2*l = -k + 10. Find the third derivative of -3*b**4 - 5*b**2 + 3*b**4 - 13*b**6 + 9*b**k wrt b.
-1560*b**3
Let w(c) = 20*c**3 + 13*c**2. Suppose j = 4*j + 6. Let z(g) = 21*g**3 + 12*g**2. Let l(o) = j*z(o) + 3*w(o). What is the third derivative of l(r) wrt r?
108
What is the first derivative of 48 - 59 - 2*j - 114 - 42*j - 65*j wrt j?
-109
Let d(c) be the third derivative of c**6/40 - c**4/6 - 5*c**3/2 + c**2. Let p(s) be the first derivative of d(s). Find the first derivative of p(q) wrt q.
18*q
Let m = 20 + -17. What is the second derivative of 11*j**2 - 14 + m*j**4 + j + j + j wrt j?
36*j**2 + 22
Let n be 3/(-21) + 3/14*10. Suppose 0 = 5*y - 0 - 10. What is the derivative of 19*i**n - 5 - 40*i**2 + 27*i**y wrt i?
12*i
Let o(m) be the first derivative of 17*m - 22 - 26*m**2 + 2*m + 7 - 21. What is the first derivative of o(c) wrt c?
-52
Let u = -7421/3 - -2475. Let k(w) be the first derivative of 0*w**2 + 0*w**5 + 0*w + 8 - u*w**3 - 3/2*w**6 + 0*w**4. What is the third derivative of k(l) wrt l?
-540*l**2
What is the derivative of -20 - 22*f + 59 + 26 - f**2 + 7 wrt f?
-2*f - 22
What is the third derivative of 1972*y**5 - 1 - y - 2 + y + 97*y**3 - y**2 - 1969*y**5 wrt y?
180*y**2 + 582
Let s be 15 - 18 - (-24 - 1). Let k = 31 - s. Find the second derivative of -k*g**2 - g + 3*g**2 - 2*g wrt g.
-12
Let u(w) be the third derivative of -w**8/560 + w**5/40 - w**4/24 - 5*w**2. Let n(c) be the second derivative of u(c). Differentiate n(f) with respect to f.
-36*f**2
Let r(w) be the second derivative of 5*w**8/56 - w**5/5 - 3*w**4/2 + w**2/2 - 50*w. What is the third derivative of r(t) wrt t?
600*t**3 - 24
Let j(f) be the second derivative of -f**8/480 + f**7/210 + f**4/4 - 14*f. Let u(k) be the third derivative of j(k). Find the third derivative of u(g) wrt g.
-84
Let j be (-4823)/(-117) - 2/9. Find the first derivative of j + 44 + 42 - 121 + 13*o**3 wrt o.
39*o**2
Let u(m) be the third derivative of 11*m**8/112 + m**6/60 + 74*m**5/15 - 367*m**2. What is the third derivative of u(l) wrt l?
1980*l**2 + 12
What is the derivative of -12*i**3 + i + 4*i + 26*i**3 - 2*i + 10 - 5*i**3 wrt i?
27*i**2 + 3
Suppose -2*n = -5 - 7. Suppose -12 = -3*b + n. What is the third derivative of -1 - b*x**5 - 2*x**2 - 4*x**2 + 1 wrt x?
-360*x**2
Let r be 2*((-6)/3 + 1 - -2). What is the second derivative of 18*b - 6*b**5 + 73*b**2 - 73*b**r wrt b?
-120*b**3
Let y(i) be the first derivative of 42*i**5/5 - 10*i**3/3 + 42. Find the third derivative of y(m) wrt m.
1008*m
Suppose -4*v + 0*v = 0. Suppose 3*b + 9 = -5*t - v*t, -5*b + 1 = 3*t. Find the third derivative of 4*y**6 - 2*y**2 - 5*y**2 - 2*y**b wrt y.
480*y**3
Let c(x) = x**3 + x**2 - 2*x - 1. Let p(y) = 6*y**5 + 3*y**3 + 3*y**2 + 16*y - 3. Let u(r) = -6*c(r) + 2*p(r). Find the second derivative of u(m) wrt m.
240*m**3
Suppose 5*i - 37 + 2 = 0. Suppose 4*a - 19 = -i. Find the third derivative of 3 - 12*t**2 + 7*t**2 - t**3 - a wrt t.
-6
Let i(u) = -u**2 + 10*u - 20. Let n be i(4). Find the first derivative of -n*o - 13 - 191*o**3 + 193*o**3 + 4*o wrt o.
6*o**2
Let d(s) be the first derivative of 17*s**2 - 112*s - 72. What is the derivative of d(r) wrt r?
34
Let i(l) be the third derivative of -11*l**6/6 + 81*l**4/8 + 7*l**2 + 10. Find the second derivative of i(r) wrt r.
-1320*r
Suppose -60 + 324 = 8*s. What is the second derivative of -4*w**4 + s*w - 22*w + w**4 wrt w?
-36*w**2
Let r(t) be the third derivative of 127*t**7/42 - t