- 7, 5*l - 2*q = 20. Suppose -p = l*p - 9. Differentiate 4 - p*s + 1 + 4*s + 3*s with respect to s.
4
Let s(m) = -m + 1. Let t be 2/(2 + (-3)/2). Let h(k) = -6*k + k - t*k - k + 9. Let a(u) = h(u) - 3*s(u). What is the derivative of a(y) wrt y?
-7
Let t = -361/4 - -453/5. Let m(j) be the second derivative of 7/12*j**4 - t*j**5 - 9*j + 0 + 0*j**3 + 0*j**2. Find the third derivative of m(h) wrt h.
-42
Let i(r) = r**3 + 10*r**2 - 11*r + 3. Let g be -11*1*2/2. Let c be i(g). What is the third derivative of 4*t**3 - 4*t**2 - 13*t**3 - 3*t**2 + 8*t**c wrt t?
-6
Let q = -17 - -27. Differentiate -q - 7*b**4 + 4*b**2 - 7*b**2 + 3*b**2 with respect to b.
-28*b**3
Let t(a) be the first derivative of -245*a**4/4 + a**3/3 + 116*a - 212. What is the first derivative of t(y) wrt y?
-735*y**2 + 2*y
Let j(u) be the first derivative of 285*u**4/4 - 3*u**2/2 + 31*u + 125. What is the second derivative of j(l) wrt l?
1710*l
Let t(g) = -7*g - 4. Let a be t(-5). What is the derivative of -35 + a - 41 + 2*x + 16*x**2 wrt x?
32*x + 2
Suppose -3*d + 5*f - 14 = 0, 2*d = d + 5*f + 2. Let w(t) = t + 10. Let y be w(d). Find the third derivative of 2*m**3 - 44*m + 3*m**3 - 6*m**y + 44*m wrt m.
30
Let q(u) = -4*u + 1. Let g(t) = -175*t + 70. Let l(p) = -g(p) - 3*q(p). What is the derivative of l(w) wrt w?
187
Let j(d) be the first derivative of 4/5*d**5 + 0*d - 3 + 0*d**4 + 6*d**2 + 0*d**3. Find the second derivative of j(r) wrt r.
48*r**2
Let c(t) be the third derivative of t**8/336 - 11*t**7/42 - t**5/15 - 29*t**4/24 - t**2 - 22*t. What is the third derivative of c(n) wrt n?
60*n**2 - 1320*n
Suppose -2 = w - 14. Suppose -28 = -4*t - w. Differentiate 1 - 3 - 3 - 3*j**t wrt j.
-12*j**3
Let i(g) = -g - 16. Let d be i(-7). Let s = 12 + d. What is the second derivative of -s*p**2 - 11*p + 3*p**2 + 16*p - 7*p**4 wrt p?
-84*p**2
Let j(t) be the first derivative of -12 - 14/5*t**5 + 20*t + 0*t**2 + 0*t**4 + 0*t**3. Find the first derivative of j(i) wrt i.
-56*i**3
Find the third derivative of -5*i + 8*i**3 - 48*i**3 + 17*i**2 - 4*i**3 - 9*i**2 wrt i.
-264
Let j(f) = -20*f**2 - 81*f + 2. Let v(s) = 21*s**2 + 80*s - 3. Let o(b) = 3*j(b) + 2*v(b). What is the second derivative of o(y) wrt y?
-36
Let g(z) = -101*z**3 - 42*z**2 + 3*z + 3. Let r(b) = 100*b**3 + 36*b**2 - 4*b - 3. Let y(v) = -4*g(v) - 3*r(v). Find the third derivative of y(w) wrt w.
624
Let t = 32 - 20. Let m be (6/t)/((-2)/(-16)). Find the second derivative of 3*v**4 - 4*v + 6*v - 11*v + v**m wrt v.
48*v**2
Suppose -5*o - 25 + 70 = 0. What is the first derivative of o + 39*w**3 - 3 - 14*w**3 wrt w?
75*w**2
Let x(q) = -9*q + 3. Let b(n) = -8*n + 3. Let j(i) = 6*b(i) - 5*x(i). Let p be j(1). Find the third derivative of p*g**2 - 3*g**6 - 9*g**6 - 12*g**2 wrt g.
-1440*g**3
Suppose -l = -4*n + 26, -4*n - 6*l + 30 = -5*l. What is the first derivative of -21 - 35*w**2 + 8*w**2 + n + 3 wrt w?
-54*w
Let a = 3 + 3. Suppose 9*w - 15 = a*w. Differentiate w + 1 - 2 - 2*h**2 wrt h.
-4*h
Let a(g) = 143*g**3 + 12*g**2 + g - 13. Let v(c) = 143*c**3 + 14*c**2 + 2*c - 11. Let y(b) = 7*a(b) - 6*v(b). What is the second derivative of y(u) wrt u?
858*u
Let p = -43 + 43. What is the third derivative of 244*t**2 + p*t**3 - 9*t**3 - 242*t**2 wrt t?
-54
Let z = -14 + 22. What is the third derivative of -8*d**3 + 7*d**2 + z*d**3 + 10*d**5 wrt d?
600*d**2
Suppose -3*t = -p + 5*p + 4, -3*p = 4*t + 10. Let k be 45/(-162)*-9*8/5. Find the second derivative of -p*c**k - 7*c - 2*c**2 + 2*c**2 wrt c.
-24*c**2
Find the first derivative of -8*i**4 + 80 - i**3 - 298 + 7*i**2 + i**3 wrt i.
-32*i**3 + 14*i
Let k(z) be the second derivative of 71*z**7/42 - 53*z**4/2 + 111*z. What is the third derivative of k(x) wrt x?
4260*x**2
Let x(q) = 3*q**4 - q**3 + 244*q**2 - 5*q. Let t(w) = 4*w**4 - w**3 + 243*w**2 - 6*w. Let p(b) = 5*t(b) - 6*x(b). Find the third derivative of p(z) wrt z.
48*z + 6
Let q = 13 - 8. Let h be (4 - 7) + (1 - -2). What is the second derivative of -6 - q*m**4 - m + h*m**4 + 6 wrt m?
-60*m**2
Suppose 5*r - 7 = 48. Suppose 0 = -4*a - 3 + r. What is the third derivative of 4*y**a - y**2 + y**5 + 0*y**5 - 2*y**5 wrt y?
-60*y**2
Let t be (2/(-6))/(1/(-6)). Suppose h - 3*n = 0, t*h + 2*n - 27 = -n. Find the third derivative of m**3 + 2*m**2 - 6*m**3 + h*m**3 wrt m.
24
Let b(z) = -z + 44. Let p(s) = -11. Suppose -11 + 9 = q. Let g(d) = q*b(d) - 9*p(d). Find the first derivative of g(y) wrt y.
2
Let u(i) = 20*i + 4. Let j be u(5). Let k be (-6)/10 - j/(-40). Differentiate d - d - 3*d**3 - k*d**3 + 2 wrt d.
-15*d**2
Let q(t) = t**4 - t**3 + t**2. Let g(o) = 75*o**4 - 12*o**3 + 12*o**2 + 135. Let j(a) = g(a) - 12*q(a). Find the first derivative of j(s) wrt s.
252*s**3
Let k(x) = x**3 - 19*x**2 + 4*x - 41. Let v be k(19). What is the second derivative of 22*f**3 + v - 35 + 29*f wrt f?
132*f
Let u(x) = 84*x**2 + 124*x - 3. Let y(z) = 85*z**2 + 122*z - 4. Let f(c) = 4*u(c) - 3*y(c). Find the second derivative of f(a) wrt a.
162
Let u = 26 + -22. Find the second derivative of 10*s**4 + 8*s**u + s**4 - 11*s wrt s.
228*s**2
Let n(i) be the first derivative of 4*i**6/15 - 2*i**4/3 + i + 10. Let a(w) be the first derivative of n(w). What is the third derivative of a(z) wrt z?
192*z
Let p(c) be the second derivative of -c**5/20 + c**4/3 + c**3/6 - c**2 - 5*c. Let m be p(4). Differentiate -m*q**2 - 7 - 6*q**2 + 14 wrt q.
-16*q
Let r be (3/2)/((-3)/(-12)). Let v be 20/12 + 3 + (-24)/9. Find the third derivative of 3*z**v + 55*z**4 - 55*z**4 - 6*z**r wrt z.
-720*z**3
Let y(v) = v**2 + 3*v - 4*v + 119 - 118. Let t(i) = -9*i**3 - 4*i**2 + 4*i - 7. Let g(x) = -t(x) - 4*y(x). Find the first derivative of g(j) wrt j.
27*j**2
Let x(g) = -208*g**3 - 3*g**2 - 8*g + 75. Let s(k) = -624*k**3 - 8*k**2 - 22*k + 226. Let r(d) = 4*s(d) - 11*x(d). What is the third derivative of r(f) wrt f?
-1248
Let s(p) = 6*p**2 + 10. Let m(w) = -10*w**2 + 8 - w**2 - 8 - 20. Let f(j) = 2*m(j) + 5*s(j). What is the first derivative of f(x) wrt x?
16*x
Let t be (-1)/(((-20)/8)/5). What is the second derivative of t*k**4 - k + 9*k + 13*k**4 - 2*k**4 wrt k?
156*k**2
Suppose -18 = -0*a - 6*a. Find the third derivative of 10*l**2 + 7*l**a - l**2 - 16*l**2 wrt l.
42
What is the second derivative of -3291*j + 6366*j - 3502*j + j**5 - 146*j**3 wrt j?
20*j**3 - 876*j
Let v(p) be the second derivative of 3*p**5/5 - p**4/3 + 187*p**3/3 + 8*p + 1. What is the second derivative of v(c) wrt c?
72*c - 8
Let x = 1 - -1. Suppose 9 = j + 4*i, -j + 6*j - 27 = -x*i. What is the second derivative of -5*h - 38 + 38 - h**j wrt h?
-20*h**3
Find the second derivative of -301*n**2 - 93*n + 90*n - 29 + 5 + 21*n**2 wrt n.
-560
Let t = -3 + 11. Suppose 0 = -5*o + t*o - 9. What is the third derivative of 0*r**2 - r**2 + 0*r**3 + o*r**3 wrt r?
18
Let g(d) be the third derivative of d**8/2520 + 11*d**6/360 + 13*d**5/60 + 14*d**2. Let v(x) be the third derivative of g(x). Differentiate v(f) wrt f.
16*f
Let x(n) be the second derivative of -85*n**7/21 - n**4/6 - 25*n**3/6 - 27*n - 1. What is the third derivative of x(f) wrt f?
-10200*f**2
What is the second derivative of 27 + 2*w**3 - 27 + 23*w**4 + 234*w - 153*w**4 wrt w?
-1560*w**2 + 12*w
What is the third derivative of 29*r**4 + 9*r**2 - 45 + 47 + 19*r**4 wrt r?
1152*r
Differentiate 349*j**3 + 195*j + 272 + 87*j**3 - 195*j wrt j.
1308*j**2
Let d(r) = 19*r + 29. Let t(m) = -248*m - 376. Suppose 0 = 5*u - 2*o - 15, 2*u + 2*o = 5*o + 6. Let l(w) = u*t(w) + 40*d(w). Differentiate l(g) wrt g.
16
Let a(l) be the third derivative of l**4/12 - 9*l**2. Let w be a(1). Find the third derivative of 5*o**2 + 9*o**6 + 17*o**3 - 17*o**3 + 3*o**w wrt o.
1080*o**3
What is the third derivative of m**6 - 23 + m**2 + 2*m**6 + 3*m**5 - 17*m**2 + 24 - 6*m**6 wrt m?
-360*m**3 + 180*m**2
Find the third derivative of 810 + 7*c**4 - c**3 - 194*c**2 - 810 wrt c.
168*c - 6
Let z(y) be the third derivative of -275*y**9/252 - y**5/5 - y**4/8 - 123*y**2. Find the third derivative of z(o) wrt o.
-66000*o**3
Let l = -42 - -46. Find the third derivative of -4*g**l + 10*g**2 + 4*g**4 + 20*g**4 wrt g.
480*g
What is the first derivative of 6*o + 2*o + 9*o**4 - 1314 + 1253 + 2*o - 3*o**4 wrt o?
24*o**3 + 10
Find the second derivative of -25*m - 110*m - 26*m**2 - 110*m**3 + 26*m**2 + 1 wrt m.
-660*m
Let p