ivative of -24*h**2 - 2 + 27*h**2 + g wrt h?
6*h
Let u(l) be the third derivative of -35*l**2 - l**4 + 0 - 5/2*l**3 + 0*l. Find the first derivative of u(w) wrt w.
-24
Let l = 13 - 11. What is the third derivative of -3*i**4 + 17*i**2 + 0*i**4 - 2*i**2 - 6*i**l wrt i?
-72*i
Let p(w) = -6*w**3 - 10*w**2 + 6*w + 27. Let c(s) = 7*s**3 + 12*s**2 - 7*s - 26. Let i(f) = -5*c(f) - 6*p(f). Differentiate i(k) with respect to k.
3*k**2 - 1
Let k(t) be the second derivative of -134*t**6/15 + 29*t**2 - 150*t. Find the first derivative of k(y) wrt y.
-1072*y**3
What is the third derivative of -98*v**3 + 91*v**3 + 20*v**2 + 14*v**2 wrt v?
-42
Find the third derivative of -i**4 + 0*i**2 + 4*i**4 - 54*i - 8*i**2 - 59*i**3 + 26*i wrt i.
72*i - 354
Let r = 52 - 44. What is the derivative of -37 + r*h + 12*h + 4*h wrt h?
24
Find the third derivative of 8*d**3 - 928 + 926 - 39*d**2 - d**3 wrt d.
42
Let p(s) be the first derivative of -1/2*s**6 - 4/3*s**3 + 0*s**2 - 19 + 0*s**5 + 0*s + 0*s**4. What is the third derivative of p(r) wrt r?
-180*r**2
Suppose 15*x = 9*x + 24. What is the second derivative of -46*a**x + 58*a**4 + 12*a + 4 - 4 wrt a?
144*a**2
Let c(y) be the third derivative of -149*y**7/105 - 55*y**5/12 - y**2 - 25. What is the third derivative of c(d) wrt d?
-7152*d
Let r = -20 - -20. Let z = -6 - -9. What is the second derivative of 4*f**3 + f + 5*f**z + r*f**3 wrt f?
54*f
Let b(s) = -12*s + 0*s - 13*s**4 - 10*s - 7*s**5. Let y(j) = 4*j**5 + 6*j**4 + 11*j. Let h(p) = 6*b(p) + 13*y(p). Find the second derivative of h(w) wrt w.
200*w**3
Let t(a) = -22*a**2 - 4*a - 204. Let u(c) = -8*c**2 - 2*c - 68. Let n(m) = 3*t(m) - 8*u(m). Differentiate n(o) with respect to o.
-4*o + 4
Differentiate -67 + 51*h - 28 - 4 + 16 + 59*h with respect to h.
110
Let x(m) be the second derivative of 15*m**8/56 - m**6/15 - m**4/6 - 44*m**2 - m + 5. Find the third derivative of x(b) wrt b.
1800*b**3 - 48*b
Let n(f) be the second derivative of 3/10*f**6 - 4*f + 0*f**5 + 0*f**3 + 0 - 13/2*f**2 + 0*f**4. Find the first derivative of n(j) wrt j.
36*j**3
Find the third derivative of 10*j**2 - 21*j**2 - 12*j**2 - 112*j**5 + 220*j**5 wrt j.
6480*j**2
Let x(z) = -37*z**2 + 20*z - 6. Let q(p) = 33 - 17*p - 16 + 112*p**2 - 43*p. Let j(b) = -6*q(b) - 17*x(b). What is the second derivative of j(y) wrt y?
-86
Suppose 0 = 5*n - 5*u - 25, -1 = -n - 4*u + 14. Suppose -n = -5*f + 3. What is the derivative of 2 + 3*i**2 + 10 + 2*i**2 - f*i**2 wrt i?
6*i
Let a(f) be the first derivative of -f**7/70 + f**3/2 + 4*f**2 - 12. Let l(m) be the second derivative of a(m). What is the first derivative of l(b) wrt b?
-12*b**3
Let c(w) be the third derivative of w**2 - 5/56*w**8 + 0 - 2/5*w**5 + 0*w**6 + 0*w**3 + 0*w + 0*w**4 + 0*w**7. What is the third derivative of c(o) wrt o?
-1800*o**2
Find the second derivative of -37*w**2 - 14*w**2 - 46*w**2 + 6*w + 25*w**2 - 8 wrt w.
-144
Let x(g) be the third derivative of -7*g**6/60 + 79*g**4/24 - 5*g**2 + 1. What is the second derivative of x(t) wrt t?
-84*t
Let g(c) be the first derivative of c**5/5 - 195*c**4/4 + 250*c**3 - 604. Find the third derivative of g(i) wrt i.
24*i - 1170
Let u(s) = 41*s**2 - 58. Let w(k) = k**2 - 2*k - 1. Let a(n) = -5*n**2 + 8*n + 5. Let v(x) = -a(x) - 4*w(x). Let p(r) = u(r) - 4*v(r). Differentiate p(q) wrt q.
74*q
Let d be (-111)/(-9) + 6/9. Suppose -5*k + d = -2. What is the third derivative of -l**2 - 2*l**3 + 2*l**2 - k*l**2 + 7*l**2 wrt l?
-12
Let t(j) be the second derivative of 0*j**3 - 11/12*j**4 + 0*j**2 + 11*j + 0*j**5 - 11/30*j**6 + 0. What is the third derivative of t(s) wrt s?
-264*s
What is the derivative of -113 - 4*m**2 + 42 + 4*m**2 - 76*m**4 wrt m?
-304*m**3
What is the third derivative of -16428*h - 95*h**2 + 16427*h + 85*h**6 + 80*h**6 wrt h?
19800*h**3
Suppose 5*d + 0*d + 5*k = -10, -3*d + 5*k = -34. Find the third derivative of 0*g**5 + d*g**4 - 25*g**2 - 3*g**4 - 5*g**5 wrt g.
-300*g**2
Let r(c) be the second derivative of 2*c**6/5 - c**4/3 + 25*c**2/2 - 14*c - 11. What is the first derivative of r(t) wrt t?
48*t**3 - 8*t
Let g(h) be the second derivative of -17*h**3/6 + 75*h**2 - 224*h. What is the derivative of g(w) wrt w?
-17
Let c(r) = 3*r - 3. Let l be c(0). Let s be (-3)/(-5 - -1 - l). Find the second derivative of -11*o**s + 22*o**3 + o - 8*o**3 - 2*o wrt o.
18*o
Let v be ((-36)/(-12))/((-3)/(-5)). Suppose 5*h - v = 5. Find the third derivative of 124 + 9*q**5 - 8*q**h - 124 wrt q.
540*q**2
Let q(f) = f**3 - f**2 + f + 10. Let u(c) = -2*c**3 + 44*c**2 - 5*c - 45. Let x(n) = -4*q(n) - u(n). What is the second derivative of x(p) wrt p?
-12*p - 80
Let x = 100 + -95. What is the first derivative of 0*y**3 - x + 3*y**3 - 2*y**3 wrt y?
3*y**2
Let r(u) be the first derivative of -2*u**6 + 4*u**5/5 - 36*u**3 - 75. Find the third derivative of r(z) wrt z.
-720*z**2 + 96*z
Let q = -1867/12 - -156. Let w(h) be the second derivative of 0*h**2 + 7/30*h**6 + 0*h**3 + 0*h**5 - h + q*h**4 + 0. What is the third derivative of w(g) wrt g?
168*g
Let c(q) = -46*q**2 - 85*q + 1. Let n(x) = 98*x**2 + 170*x - 2. Let t(o) = -13*c(o) - 6*n(o). Find the second derivative of t(z) wrt z.
20
Let k(g) = 2*g**4 - 40*g**2 + 357*g - 6. Let p(x) = -4*x**4 + 85*x**2 - 713*x + 13. Let o(f) = -13*k(f) - 6*p(f). Find the second derivative of o(n) wrt n.
-24*n**2 + 20
Let z be 4/(-7)*112/(-16). Suppose -z*w + 60 = w. Find the first derivative of 36*f - 36*f - 10*f**3 - w wrt f.
-30*f**2
Let w(j) be the third derivative of -161*j**6/24 + 881*j**4/24 + 1028*j**2. What is the second derivative of w(x) wrt x?
-4830*x
Let r(t) be the third derivative of 0*t**5 + 0*t**3 + 0 + 0*t + 0*t**7 + 10*t**2 + 1/14*t**8 + 0*t**6 + 7/8*t**4. Find the second derivative of r(q) wrt q.
480*q**3
Let s(o) be the second derivative of 0 + 8*o + 0*o**2 + 0*o**3 + 4/5*o**5 + 2/3*o**4. What is the third derivative of s(i) wrt i?
96
Suppose -6 = -6*q + 12. Find the second derivative of 3*v + q*v**4 + 3*v + v**4 wrt v.
48*v**2
Suppose 4 = -4*w - 3*n, -2*w - 24 = -2*n - 2*n. Let y = 7 + w. What is the second derivative of 4*g**4 + 0*g + y*g - g wrt g?
48*g**2
Suppose 6*b = -b + 196. Let w = -21 + b. What is the third derivative of 7*j**2 + w*j**3 + j**3 - 8*j**3 - 8*j**4 wrt j?
-192*j
Find the third derivative of -621*b**5 + 2*b**2 + 19*b**2 + 8*b**2 - 28*b**2 + 270 wrt b.
-37260*b**2
Find the third derivative of 16*m + 100*m**3 + 3*m**2 - 6*m - 4*m**2 wrt m.
600
Let d(y) = 27 + 14 + 9*y + 20*y**2 - 60*y**4 - 20*y**2. Let u(i) = -15*i**4 + 2*i + 10. Let o(w) = 2*d(w) - 9*u(w). What is the first derivative of o(p) wrt p?
60*p**3
Let m(o) be the first derivative of 41*o**3/3 - 45*o**2 + 75. What is the second derivative of m(y) wrt y?
82
Let h(v) be the second derivative of 77*v**5/20 - 28*v**2 + v - 38. Differentiate h(j) wrt j.
231*j**2
Let j(p) = -p - 4. Let n(k) = -k + 5*k - 2*k - k. Let m(i) = j(i) - 2*n(i). Find the first derivative of m(h) wrt h.
-3
What is the first derivative of -76 + 954*b + 213 - 108 - 76 wrt b?
954
Let b(j) be the first derivative of -j**6/6 + 20*j**4 - 148*j**3/3 - 287. Find the third derivative of b(r) wrt r.
-60*r**2 + 480
Suppose -6 + 25 = a + j, 38 = 2*a + 5*j. What is the third derivative of -a*c**3 + 3260*c**2 - 11*c**3 - 3264*c**2 wrt c?
-180
Differentiate -88 - 465*d + 34 - 20 - 153 - 155 wrt d.
-465
Let m(c) be the first derivative of 5*c**7/14 + c**3/3 - 23*c - 26. Let h(a) be the first derivative of m(a). What is the second derivative of h(d) wrt d?
300*d**3
Let c = 26 + -23. What is the second derivative of -11*s - s**3 + 3*s**4 - 6*s**4 + s**c wrt s?
-36*s**2
Let b(k) = -330*k**2 + 12*k - 403. Let d(w) = -992*w**2 + 32*w - 1207. Let n(g) = 8*b(g) - 3*d(g). Find the first derivative of n(q) wrt q.
672*q
Suppose 0*h = 2*h - 4, -4*v = 4*h - 12. Let x(b) = -8*b**2 - 11. Let d(p) = -p**2. Let m(n) = v*x(n) + 2*d(n). What is the first derivative of m(q) wrt q?
-20*q
What is the second derivative of 14*i - 82*i**2 + 1 + 27*i**2 + 154*i**2 wrt i?
198
Let b(p) = -43*p**2 + 79*p - 6. Let w(y) = 43*y**2 - 78*y + 7. Let i(a) = 7*b(a) + 6*w(a). What is the second derivative of i(t) wrt t?
-86
Let z(x) = -99*x**2 + 69. Let t(f) = 248*f**2 - 174. Let w(j) = -5*t(j) - 12*z(j). Differentiate w(g) wrt g.
-104*g
Let a(q) = -375*q**2 + 220*q. Let