hird derivative of 67*d**6/30 + 241*d**3/3 - 314*d**2. Differentiate s(f) wrt f.
804*f**2
Suppose 5*t - 13 + 33 = 0. Let h(p) = 12*p**3 - 21*p - 2. Let s(y) = y**3 + y - 1. Let d(f) = t*s(f) + 2*h(f). Find the second derivative of d(k) wrt k.
120*k
Suppose 32 = 21*c - 5*c. What is the third derivative of 450*l**3 + 9*l**c - 3*l**2 - 426*l**3 wrt l?
144
Find the first derivative of 6 - 53*t - 7 - 3 wrt t.
-53
Let s be 184/(-10) - 2/(-5). Let r = 20 + s. What is the second derivative of 10*j + 4*j**5 + r*j**5 + 6*j**5 wrt j?
240*j**3
Let u(l) = -12*l**2 - 6. Let d(o) = o**2 - 1. Suppose v = 5*v + 20, -z = v + 6. Let s(j) = z*u(j) - 2*d(j). Differentiate s(r) with respect to r.
20*r
Let l be (-12 - -11) + (0 - 2). Let u be 0 - 2 - l/1. What is the first derivative of 2 - 3*d**4 - 3 - u wrt d?
-12*d**3
Let n(g) be the first derivative of -24*g**4 - g**3 + 23*g**2/2 - 61. What is the third derivative of n(p) wrt p?
-576
Let w(i) = -136*i + 69. Let d(r) = -271*r + 141. Let n(q) = -3*d(q) + 5*w(q). Differentiate n(o) with respect to o.
133
What is the third derivative of 0*k**5 + 0*k**4 + 46*k**2 + 3*k**5 - 2*k**4 - 10*k**4 wrt k?
180*k**2 - 288*k
Differentiate -34*s + 49 - 30 + 35 with respect to s.
-34
Suppose -o = -3*o + 18. Find the second derivative of p**3 + 19*p**3 + 12*p**3 - o*p - 5*p**3 wrt p.
162*p
Let t(s) be the second derivative of 121*s**6/30 - 5*s**4/12 - 18*s + 2. What is the third derivative of t(x) wrt x?
2904*x
Let r(z) be the first derivative of -6 + 0*z - 13/2*z**2 + 0*z**4 + 17/5*z**5 + 0*z**3. What is the second derivative of r(j) wrt j?
204*j**2
Find the third derivative of -2*f + 816*f**4 - 8522*f**3 + 8522*f**3 - 198*f**2 wrt f.
19584*f
Let h(p) be the third derivative of -p**5/12 - 25*p**4/12 - 2*p**2 + 122*p. What is the second derivative of h(a) wrt a?
-10
Let i be (4/5)/(5/(-25)). Let o = i + 9. What is the first derivative of 4*d**2 + 38 - 4*d**2 - 30 - o*d**4 wrt d?
-20*d**3
Suppose 4*w - 30721 + 7893 = 0. What is the first derivative of -2*o**4 - w*o**2 - 11 + 5707*o**2 wrt o?
-8*o**3
Suppose -6 = -4*c + 2. Differentiate c + 3 - 25 + 24*a**2 - 15 with respect to a.
48*a
Let r(s) = 6*s**3 + 29*s + 2. Let f(k) = 1 - 17*k**3 + 18*k**3 - 3 + 3 + k. Let u(c) = 2*f(c) - r(c). Find the second derivative of u(n) wrt n.
-24*n
Let u(d) = 252*d**2 - 5*d + 436. Let i(y) = -126*y**2 + 3*y - 218. Let t(f) = -5*i(f) - 3*u(f). What is the derivative of t(b) wrt b?
-252*b
Let x be 4 - 4/(16/4). What is the second derivative of -13*i**2 - x*i - 4*i + 12*i**2 + 9*i**2 wrt i?
16
Let p(k) = 12*k**4 - 12*k**3 + 14*k + 191. Let m(x) = 13*x**4 - 10*x**3 + 12*x + 191. Let t(l) = -6*m(l) + 5*p(l). Differentiate t(z) wrt z.
-72*z**3 - 2
Let z(g) = 39*g**5 + 7*g**2 + 4. Let q(i) = -77*i**5 + i**4 - 13*i**2 - 7. Let y(k) = -2*q(k) - 5*z(k). Find the third derivative of y(n) wrt n.
-2460*n**2 - 48*n
Let x(a) be the third derivative of -1/30*a**6 + 0 - 4*a**2 + 0*a**3 - 11/24*a**4 + 0*a + 0*a**5. What is the second derivative of x(b) wrt b?
-24*b
Suppose 3 = 2*w - 7, w = o + 1. What is the second derivative of 2*p - 37*p**5 - 10*p**o + 10*p**4 + 6*p wrt p?
-740*p**3
What is the third derivative of -7*z - 5*z - 91*z**2 + 178*z**2 - 22*z**6 - 89*z**2 wrt z?
-2640*z**3
Suppose 4*s - 6*s - 3 = -3*d, 4*s - 24 = -4*d. Let l = 0 + 3. What is the third derivative of -3*q**2 + 5*q**s + 6*q**5 - 5*q**l + 8*q**2 wrt q?
360*q**2
Let t(v) be the second derivative of 0*v**2 + 5*v + 13/6*v**3 + 13/20*v**5 + 0*v**4 + 0. What is the second derivative of t(k) wrt k?
78*k
Let x(q) = -28*q**2 + 45*q + 11. Let h(s) = -2 + 0 - 2 - s - 14*s + 9*s**2. Let l(b) = -11*h(b) - 4*x(b). Find the second derivative of l(m) wrt m.
26
Let w be (0 - -4) + -1 + (-9)/9. What is the third derivative of 6150*g**w + 3*g - 57*g**3 - 3*g - 4 - 6157*g**2 wrt g?
-342
Let t(d) be the second derivative of 1/3*d**4 - 11/6*d**3 + 0*d**2 + 6*d + 0. What is the second derivative of t(r) wrt r?
8
Let l(i) be the first derivative of -7*i**6 + i**4 + 4*i**3/3 + 49*i + 238. Find the third derivative of l(y) wrt y.
-2520*y**2 + 24
Let a(m) be the third derivative of -m**7/210 + m**6/60 - 13*m**3/2 + 33*m**2 - 1. Differentiate a(v) with respect to v.
-4*v**3 + 6*v**2
Let m(a) be the first derivative of -63*a**3 + 135*a + 194. What is the derivative of m(j) wrt j?
-378*j
Let b(t) = 11*t**3 + 28*t**2 + 58*t + 17. Let g(x) = 5*x**3 + 14*x**2 + 29*x + 6. Let u(i) = -2*b(i) + 5*g(i). Find the second derivative of u(a) wrt a.
18*a + 28
Let d(r) be the third derivative of 5*r**4/12 - 31*r**3/3 + 115*r**2. Differentiate d(w) with respect to w.
10
Let p(q) = -35*q**3 + q**2 - 10*q - 3. Let c(h) = h**3 + h**2 + 2*h - 1. Let f(g) = 3*c(g) - p(g). Find the second derivative of f(u) wrt u.
228*u + 4
Differentiate 61 - 13 + 84 - 12 - 123*j - 3 wrt j.
-123
Let d(o) be the first derivative of 22/3*o**3 - 18 + 0*o - 14/3*o**6 + 0*o**5 + 0*o**2 + 0*o**4. Find the third derivative of d(j) wrt j.
-1680*j**2
Let f(w) = 524*w**2 - 509*w - 8. Let v(s) = -174*s**2 + 170*s + 3. Let a(o) = 3*f(o) + 8*v(o). What is the second derivative of a(x) wrt x?
360
Let y(d) be the first derivative of 259*d**6/6 + 2*d**5/5 - d**2 + 132*d + 94. What is the second derivative of y(t) wrt t?
5180*t**3 + 24*t**2
Let p(v) = -6*v**3 + 4*v**4 - 46 + 88 - 45. Let h(b) = 11*b**4 - 17*b**3 - 9. Let n(l) = 6*h(l) - 17*p(l). Differentiate n(j) with respect to j.
-8*j**3
What is the second derivative of 69*m + 234 - 70*m + 54 + 64*m**3 - 75 wrt m?
384*m
Let j(p) = -6 + 4 + 11 + 16*p + 4. Let s(x) = 16*x + 13. Let w(a) = 6*j(a) - 7*s(a). What is the derivative of w(y) wrt y?
-16
Suppose 4*i - 3*r + 30 = i, 7 = -i + 4*r. Let z = i - -17. Find the second derivative of 3*f**2 + 0*f**2 + 4*f - 3*f - z*f wrt f.
6
Let i(q) be the third derivative of 73*q**6/120 - 47*q**5/60 + 182*q**2. What is the third derivative of i(l) wrt l?
438
Suppose 0 = -2*j - 10 + 60. Let c = 30 - j. What is the third derivative of -10*v**c + v**2 + 5*v**2 - 10*v**2 wrt v?
-600*v**2
Let g(d) be the second derivative of 133*d**6/10 + 625*d**3/6 + 3*d - 148. What is the second derivative of g(f) wrt f?
4788*f**2
Let w(m) = -m**3 + 11*m**2 + 3*m - 14. Let y be w(11). Let a = 24 - y. Differentiate 16*r - a*r - 341 + 338 wrt r.
11
Let s = 20 - 10. Suppose 0 = -5*f - 20, 0*l - 5*f = 5*l - s. Find the third derivative of -4*q - 2*q - 3*q**3 + q**2 + l*q wrt q.
-18
Let l(v) = -v**3 + 18*v**2 + 22*v - 23. Let b be l(19). Differentiate r**2 + 0*r**2 + b - 1 + r - 7 wrt r.
2*r + 1
Let k(o) = o**3 + 3*o**2 - 4*o - 4. Let b be k(-3). What is the third derivative of -j**5 - 4 + 4 - 7*j**2 - b*j**2 wrt j?
-60*j**2
Suppose o + 64 = 6*o - 2*s, s = -3*o + 34. Find the second derivative of 19*b - o*b**5 + 4*b**5 + 4*b**5 - 19*b**5 wrt b.
-460*b**3
Let p(a) be the third derivative of -1/14*a**8 + 0 + 7*a**2 + 0*a**7 + 0*a**4 + 11/12*a**5 + 0*a**3 + 0*a**6 + 2*a. What is the third derivative of p(o) wrt o?
-1440*o**2
Let w = 92 - 89. Let u(t) = -t**5 - 1. Let x(p) = -p**5 - p**3 - 45*p - 2. Let l(z) = w*u(z) - x(z). What is the second derivative of l(k) wrt k?
-40*k**3 + 6*k
Find the third derivative of 72*y**2 + 351*y**3 - 1 - 356*y**3 + y**4 + 1 wrt y.
24*y - 30
Let m be (93/(-168))/(-1) - 9/21. Let n(w) be the third derivative of 0*w - 1/60*w**5 + 0 - 6*w**2 - m*w**4 + 0*w**3. Find the second derivative of n(j) wrt j.
-2
Let o(y) = -y**2 - 2*y + 1. Let u(r) = 38*r + 12. Let n(k) = o(k) + u(k). What is the derivative of n(w) wrt w?
-2*w + 36
Find the second derivative of 0*y**2 - 124*y + 0*y**2 + 41*y - 29*y + 308*y**4 wrt y.
3696*y**2
Let n(h) be the first derivative of h**3/3 - 64*h**2 + 157*h - 53. Differentiate n(s) wrt s.
2*s - 128
Let l(f) be the third derivative of -113*f**8/336 - f**5/20 - 5*f**4/24 + 3*f**2 - 5*f. Find the third derivative of l(v) wrt v.
-6780*v**2
Let k(j) be the second derivative of 349*j**5/10 + 7*j**3/6 - 10*j**2 + 753*j. What is the second derivative of k(z) wrt z?
4188*z
Let v(i) = 7*i**4 + 63*i**3 + 4*i**2 - 77*i. Let x(t) = 2*t**4 + t**2 + t. Let u(n) = -v(n) + 4*x(n). What is the second derivative of u(z) wrt z?
12*z**2 - 378*z
Let v be ((-30)/3 - 2)*-1. Let h = 18 - v. What is the third derivative of -4*z**2 + z**2 - h*z**4 + 6*z**4 + 6*z**5 wrt z?
360*z**2
Let d