2*c**3 - 311 - 21 + 0*c**3 - 2*c**3 - 453*c wrt c.
-12*c**2 - 453
Let v(t) = -13926*t**3 + 28*t**2 + 17*t + 11715. Let g(w) = 4641*w**3 - 10*w**2 - 6*w - 3906. Let m(y) = 17*g(y) + 6*v(y). What is the derivative of m(s) wrt s?
-13977*s**2 - 4*s
Let v(u) = 183*u**2 - 9*u + 20. Let a(x) = 5*x - 91*x**2 + 4 - 2 - 3 - 8. Let c(n) = -13*a(n) - 6*v(n). What is the second derivative of c(s) wrt s?
170
Let l(k) be the third derivative of 169*k**4/12 + 271*k**3/6 + 101*k**2. Let o(t) = 169*t + 136. Let f(s) = 2*l(s) - 5*o(s). Differentiate f(i) wrt i.
-169
Find the second derivative of -8481*r**3 + 8481*r**3 + 16 - 3804*r**5 - 107*r - 13 wrt r.
-76080*r**3
Let v be ((-1936)/3 - -1)*(-1290)/43. Differentiate -v*j**4 + 19378*j**4 + 0 + 28 wrt j.
192*j**3
Let z(b) = -983*b**3 - 7*b**2 + 2*b - 4000. Let j(h) = 981*h**3 + 10*h**2 - 3*h + 4002. Let o(l) = 2*j(l) + 3*z(l). Differentiate o(v) wrt v.
-2961*v**2 - 2*v
Let o(l) = -5*l**2 - 21*l + 27. Let x be o(-5). What is the third derivative of x*z**5 - 7*z**4 + 2*z**2 - 20*z**2 + 9*z**4 - 6*z**4 wrt z?
420*z**2 - 96*z
Suppose -3*y - h = 22, 0 = -3*y + 5*h - h - 2. Let d(t) = -6*t - 29. Let u be d(y). What is the second derivative of 5*g + 20*g**5 + 11*g - u*g**5 wrt g?
260*g**3
Let d(r) = -2*r**2 + 1. Let z(m) = 357*m**3 - 14*m**2 + 1674. Let g(j) = -7*d(j) + z(j). What is the first derivative of g(b) wrt b?
1071*b**2
What is the second derivative of -4663*t - 8181*t**3 - 2536*t**2 + 5088*t**2 - 2552*t**2 wrt t?
-49086*t
Let f be (36/10)/(3/10). Let b = 3 + f. Find the second derivative of -b*l**2 - 3538 - 44*l + 3538 wrt l.
-30
Let c(l) = 2*l**4 - l**3 - l**2 + 18. Let y(h) = -17*h**4 + 2*h**3 - 3*h**2 + 6*h - 9118. Let n(o) = 2*c(o) + y(o). What is the first derivative of n(q) wrt q?
-52*q**3 - 10*q + 6
Find the third derivative of 14*z**2 + 10*z**2 + 4*z - 54*z**2 + 18*z**2 + 8*z**2 + 17*z**3 wrt z.
102
Let p(f) = 5*f + 99. Let u be p(-19). Find the third derivative of 2602*d**u - 2534*d**4 - 7*d**2 - 45*d**2 wrt d.
1632*d
Let m(y) = 2*y**4 + 540*y**3 + 4*y**2 - 8*y - 10. Let w(p) = -5*p**4 - 1617*p**3 - 11*p**2 + 22*p + 29. Let h(k) = -11*m(k) - 4*w(k). Differentiate h(j) wrt j.
-8*j**3 + 1584*j**2
Let c(u) = 60612*u**3 - 44*u**2 - 30*u - 43420. Let s(g) = -129883*g**3 + 94*g**2 + 64*g + 93043. Let f(p) = 32*c(p) + 15*s(p). Differentiate f(z) wrt z.
-25983*z**2 + 4*z
Differentiate -1084 - 162*l**2 + 6*l - 56*l**2 - 52*l**2 - 3437 - 138*l**2 wrt l.
-816*l + 6
Let s(o) = 1841*o + 602. Let f(y) = 1840*y + 607. Let n(m) = -2*f(m) + 3*s(m). What is the derivative of n(a) wrt a?
1843
Let u be 100/60 - (-12)/(-45). Let f(v) be the first derivative of 0*v**3 + u*v**5 + 0*v**2 - 9 - 12*v + 0*v**4. Find the first derivative of f(t) wrt t.
28*t**3
Suppose 0 = b + 5, 0 = 5*h - 4*b - 7 - 13. Let j(l) = -4*l**2 + 4. Let a be j(h). Find the first derivative of -t**3 + t**3 - 3 + a - 9*t**4 wrt t.
-36*t**3
Differentiate 201*b + 2034*b - 1199 - 38 - 1091 with respect to b.
2235
Let j(k) be the second derivative of 1249*k**5/10 - 1343*k**4/12 - 2192*k. What is the third derivative of j(z) wrt z?
14988
Let s(l) = 4*l - 17. Let m be s(5). Suppose 0 = -5*z - m*v - 2, 0*v = -v - 4. Find the first derivative of 17 + w**4 + 157*w**z - 157*w**2 wrt w.
4*w**3
Let k(j) be the third derivative of -1367*j**7/105 - 13*j**5/20 - 13*j**4/6 + 176*j**2 - 7*j. Find the third derivative of k(v) wrt v.
-65616*v
Let u(p) = -p**3 + 7*p**2 + 8*p - 9. Let k be u(7). Let n = k + -43. What is the third derivative of -21*h**n + 40*h**2 + 4*h**4 - 48*h**2 wrt h?
-408*h
Suppose -4*c = -2*g - 190, 5*c + 0*g - 215 = -2*g. Suppose -q + c = 21. Find the third derivative of 12*t - 17*t**2 - 12*t - q*t**4 wrt t.
-576*t
Let l(b) be the third derivative of 85*b**5/12 + b**4/8 - 3743*b**3/2 + 2*b**2 + 197. What is the first derivative of l(a) wrt a?
850*a + 3
Let j(t) = 3*t**2 + 23*t + 8. Let o be j(-9). Find the second derivative of o*b**2 - 25 - 28 + 5*b + 53 wrt b.
88
Let s(d) = -2719*d**2 - 2765*d + 17. Let l(a) = 1360*a**2 + 1383*a - 8. Let j(y) = 13*l(y) + 6*s(y). Find the second derivative of j(n) wrt n.
2732
What is the third derivative of 2*n**5 + 2*n**4 + 30 - 146*n**5 + 165*n**2 - 26 wrt n?
-8640*n**2 + 48*n
Suppose 15 = 33*m - 30*m. Differentiate -30*o - 5*o**3 + 8*o**3 + m - 4*o**3 with respect to o.
-3*o**2 - 30
Let n(p) be the first derivative of -2*p**7/105 + p**5/30 - 6*p**3 - p**2/2 + 15*p - 25. Let q(k) be the second derivative of n(k). Differentiate q(f) wrt f.
-16*f**3 + 4*f
Suppose 6 + 3 = t - z, t + 4*z + 6 = 0. Find the third derivative of -3*c**6 + c**5 - 103*c**t - 26*c**2 + c - 12*c**2 wrt c.
-12720*c**3 + 60*c**2
Suppose -5*w + 12*w - 19936 = 0. Find the second derivative of -w + 2846 + 26*y + 318*y**5 + 32*y wrt y.
6360*y**3
What is the third derivative of 17*r**5 + 4*r**3 + 798*r + 2*r**2 - 5*r**4 - 801*r - 5*r**3 + 126 wrt r?
1020*r**2 - 120*r - 6
Let v(k) = -14*k**2 - 26*k - 2355. Let y(p) = -27*p**2 - 53*p - 4688. Let l(t) = -11*v(t) + 6*y(t). What is the derivative of l(z) wrt z?
-16*z - 32
Let c(w) be the second derivative of -16*w**7/21 - w**6/30 + 263*w**4/4 + 6*w + 69. What is the third derivative of c(q) wrt q?
-1920*q**2 - 24*q
Let w(c) be the second derivative of -c**4/12 - c**3 + 9*c**2/2 - 3*c. Let f be w(-7). Differentiate 5 + 2*o**2 + 7*o**2 + 6*o**2 - 4*o**f with respect to o.
22*o
Let y(n) be the first derivative of -3173*n**3/3 + 15*n**2 + n + 5508. Find the second derivative of y(b) wrt b.
-6346
Let h(z) = 8374*z + 5571. Let j(t) = 8503*t + 5570. Let p(w) = 2*h(w) - 3*j(w). What is the derivative of p(s) wrt s?
-8761
Suppose -15*t = -6*t - 396. Suppose -t = -4*n - 36. Find the third derivative of 4*i**3 + i - i + 302*i**n - 269*i**2 wrt i.
24
Find the first derivative of -819 - 311*u**3 - 70*u**3 - 68*u**3 - 147*u**3 + 56*u**3 wrt u.
-1620*u**2
Let c(f) = -6*f**2 + 2*f - 1211. Let h(p) = p**3 + 26*p**2 - 9*p + 4844. Let j(g) = -9*c(g) - 2*h(g). Find the first derivative of j(i) wrt i.
-6*i**2 + 4*i
Let t(j) be the second derivative of -37 - 13/12*j**4 - j - 1/20*j**5 + 3/2*j**2 + 0*j**3 - 2/7*j**7 + 0*j**6. What is the third derivative of t(q) wrt q?
-720*q**2 - 6
Let a(i) be the third derivative of 71*i**4/8 - 935*i**3/6 + 24*i**2 - 6. What is the first derivative of a(n) wrt n?
213
Let y(o) be the third derivative of 811*o**4/4 - 1574*o**3 + 1938*o**2. What is the derivative of y(l) wrt l?
4866
Find the third derivative of 23419*y - 46845*y - 4980*y**2 + 23426*y - 10350*y**3 wrt y.
-62100
Suppose -56 - 210 = -19*o. What is the first derivative of -o*j + 6*j + 9*j + 62 + 9*j wrt j?
10
Let v be 22/2 + (190 - 206) - (-10)/2. Let p(r) be the second derivative of v + r + 10*r**2 - 14/3*r**3. Differentiate p(h) with respect to h.
-28
Find the second derivative of 40150*g**5 + 0*g - 857 + 2*g - 40148*g**5 + 4964*g**3 - 684*g**3 wrt g.
40*g**3 + 25680*g
Let a be (369/18)/((-1)/2). Let c = a + 44. What is the derivative of -5 - 5*h**c - 4*h**3 - 3*h**3 wrt h?
-36*h**2
Let w = 9 + -6. Find the third derivative of -52*n**3 + 2*n**2 + n - 49*n**3 + 62*n**4 + 103*n**w wrt n.
1488*n + 12
Let g(q) = -11*q**2 + q + 1. Let r(w) = 123*w**2 - 204*w - 3514. Let t(j) = -11*g(j) - r(j). What is the derivative of t(c) wrt c?
-4*c + 193
Let a be -5 - (-3)/(3 + -2). Let h be (-115)/(-15) - 5 - a/(-3). Find the third derivative of m + m**5 - m + 3*m**2 - 2*m**h wrt m.
60*m**2
Let j(y) be the second derivative of 1/2*y**2 - 26*y + 0*y**3 + 9/2*y**4 - 7/15*y**6 - 1 - 1/5*y**5. What is the third derivative of j(w) wrt w?
-336*w - 24
What is the second derivative of 275*u**2 + 76*u**2 + 1518*u + 107*u**2 + 225*u**2 wrt u?
1366
Let u(l) be the first derivative of 44 + 14/3*l**6 + 0*l**4 + 0*l**5 - 128/3*l**3 + 0*l**2 + 0*l. Find the third derivative of u(t) wrt t.
1680*t**2
Let v(h) = -7*h**2 + h. Let y(g) = 101*g**4 - 3*g**3 - 44*g**2 + 10*g + 412. Let l(f) = 6*v(f) - y(f). What is the third derivative of l(c) wrt c?
-2424*c + 18
Let a(m) = 86*m**2 - 115. Let s be (-6)/(-3) - 5/(-1). Let i(d) = 129*d**2 - 172. Let f(x) = s*a(x) - 5*i(x). What is the derivative of f(r) wrt r?
-86*r
Let o = -34 - -36. Let q be o - 6/(-27) - 2/9. Find the third derivative of 16*f**2 - f**2 - 6*f**3 + q*f**2 wrt f.
-36
Let u(j) = -13*j**3 - 90*j**2 + 13*