- 6*r**5 - r wrt r.
660*r**3
Let w(m) = m - 3. Let n(l) = 153*l + 53 + 41*l + 122 - 27*l + 57*l. Let q(v) = -n(v) + 2*w(v). What is the first derivative of q(f) wrt f?
-222
Suppose -4*m = 4*f + m + 12, 0 = -4*f + 3*m + 20. Let l be 70/3*3/f + 0. What is the third derivative of 366*g**3 - 366*g**3 + 28*g**2 - l*g**5 wrt g?
-2100*g**2
Let u(z) = -z. Let o(h) = -5*h - 1. Let n(d) = -o(d) + 4*u(d). Let f be n(-1). Find the third derivative of -47*q**2 + 0*q**3 + f*q**3 - 9*q**4 + 57*q**2 wrt q.
-216*q
Let a(u) be the third derivative of 0*u + 24*u**2 - 1/105*u**7 + 0 - 43/24*u**4 + 0*u**3 + 0*u**5 + 1/120*u**6. What is the second derivative of a(b) wrt b?
-24*b**2 + 6*b
Find the third derivative of 5*q - 9 - 173*q**2 + 1 - 1324*q**3 - 2692*q**3 + 172*q**2 wrt q.
-24096
Let u(p) be the second derivative of -20/3*p**3 - 4*p - 51/2*p**2 - 15. Differentiate u(x) wrt x.
-40
Let z be (4/(-6))/((-8)/60). Suppose -3*o + 16 = -z*l, 5*o - 3*l = o + 14. What is the third derivative of -5*g**o + 0*g**2 + 25*g**5 + g**2 - 7*g**5 wrt g?
1080*g**2
Find the second derivative of 9712*x**2 - 290 - 95 + 68 - 43 - 3*x wrt x.
19424
Let r(h) = -h**2 - 2*h + 5. Let n be r(-2). What is the third derivative of 25*p - 5*p**5 + 15*p**n + 37*p - 2*p**2 + 2*p**6 - 8*p wrt p?
240*p**3 + 600*p**2
Let l(p) = 8058*p**2 - 4532*p - 9. Let y(t) = 4031*t**2 - 2265*t - 4. Let r(h) = -4*l(h) + 9*y(h). What is the second derivative of r(s) wrt s?
8094
Let o(i) be the first derivative of -2*i**9/9 + 79*i**5/60 - 48*i**2 - 22. Let s(p) be the second derivative of o(p). Find the third derivative of s(q) wrt q.
-13440*q**3
Let u(r) be the first derivative of 0*r + 0*r**5 - 161/6*r**6 - 64/3*r**3 - 154 + 1/2*r**2 + 0*r**4. Find the third derivative of u(z) wrt z.
-9660*z**2
Let t(w) = -6*w - 13. Let o = -9 + 3. Let y be t(o). What is the second derivative of 11*u + 2*u - 9*u + y*u - 25*u**3 wrt u?
-150*u
Suppose 4*h + 0 = 12. Let a(o) be the first derivative of 21 - 19*o - h + 12*o**3 + 18. What is the derivative of a(w) wrt w?
72*w
What is the derivative of 22654*m + 6582 + 4131*m**2 - 22654*m wrt m?
8262*m
Let w(i) be the second derivative of i**6/30 - 47*i**5/4 + 3117*i**2 + 434*i + 2. What is the first derivative of w(s) wrt s?
4*s**3 - 705*s**2
Let c = -284 + 286. What is the second derivative of -57*i**4 + 3 - 180*i**c + 7*i + 180*i**2 + 12*i**4 wrt i?
-540*i**2
Let f(y) be the second derivative of -1434*y**5/5 - 886*y**3 - y**2 - 3762*y. Find the second derivative of f(q) wrt q.
-34416*q
Find the second derivative of 10040*d + 27*d**4 - 5629*d - 5320*d + 14*d**5 wrt d.
280*d**3 + 324*d**2
Suppose 3*x = -h + 13, -2*x - 2*h = -1 - 1. Suppose -6*o = -24 - x. Find the second derivative of -7*l - 28*l**4 - 14*l + 28*l**4 + 2*l**o wrt l.
40*l**3
Let z(o) be the second derivative of 0*o**6 - 1/6*o**4 - 1/6*o**3 + 4*o + 3 - 1/42*o**7 + 1/20*o**5 + 0*o**2. Find the third derivative of z(h) wrt h.
-60*h**2 + 6
Let y(k) be the third derivative of 0 + 0*k + 0*k**6 - 29/42*k**7 + 0*k**3 - 3*k**2 - 89/24*k**4 + 0*k**5. What is the second derivative of y(h) wrt h?
-1740*h**2
Differentiate 160 + 191*j + 870 + 195*j - 72 + 55*j with respect to j.
441
Suppose -5*h = -4*h + 5*i - 99, -h + 72 = -4*i. What is the second derivative of 2*f + 6*f - 2 - h*f**5 + 9*f - 23*f wrt f?
-1680*f**3
Let v(i) = i**2 + 6*i - 1. Let h be v(4). Let z = 41 - h. What is the third derivative of -16*f**6 - 24*f**2 + 5*f**2 + 2*f**6 + 8*f**z wrt f?
-1680*f**3
Let y(c) = 6534*c**3 - 2872*c**2 - 18. Let f(o) = 32671*o**3 - 14358*o**2 - 96. Let a(k) = -3*f(k) + 16*y(k). What is the third derivative of a(u) wrt u?
39186
Let k = -35 - -114. Let h = k + -75. Differentiate h*d - 5 - 12 - 3 with respect to d.
4
Suppose 0 = 3*y - 87 + 84, y = 2*s - 9. Let p(m) be the second derivative of 0*m**2 + s*m + 5/2*m**3 - 5/12*m**4 + 0. Find the second derivative of p(w) wrt w.
-10
Suppose 0 = 52*u - 55*u - 231. Let k = u - -79. What is the third derivative of 10*h**2 - 3*h**6 - 7*h**2 + 17*h**k + 7*h**2 wrt h?
-360*h**3
Let h be (-2 + 2 + 0)/(-1). Suppose -q - 13 + 25 = h. Find the second derivative of 11*s - 7 + q*s**2 + 4*s - 21*s + 8*s wrt s.
24
Let r(k) be the third derivative of -1/120*k**6 + 0 + 29/3*k**3 + 7/30*k**7 + 0*k**5 + 205*k**2 - 1/24*k**4 + 0*k. Find the second derivative of r(z) wrt z.
588*z**2 - 6*z
Let s = 70 - 27. Let p = 46 + -43. What is the second derivative of -23*b**4 + s*b**4 - 8*b**3 - 36*b + 8*b**p wrt b?
240*b**2
What is the derivative of 1412 - 3831*p + 2498 - 352 - 138 wrt p?
-3831
Let s be 103*(-380)/((-20)/5). What is the second derivative of -9785*d**4 + s*d**4 + d - 14*d**2 - 2*d**5 + 7 wrt d?
-40*d**3 - 28
Suppose -3*m + 3*v + 18 = 0, 4*m - v + 0*v - 12 = 0. Find the first derivative of -7 + 54 + 207*t**m - 253*t**2 wrt t.
-92*t
Let h(q) = -2*q**2 + 101*q + 135. Let s be h(51). Let r = 3 + 0. What is the second derivative of s*l**3 - 22*l - 162*l**3 + 92*l**r wrt l?
84*l
Differentiate -10*s**2 - 25*s**4 + 3*s - 2*s - 16*s**4 + 5*s**2 - 7128 - 6*s**2 with respect to s.
-164*s**3 - 22*s + 1
Let z = -629 + 800. Find the second derivative of z*q**4 + 0*q**2 + 0*q**2 - 80*q - 53*q wrt q.
2052*q**2
What is the derivative of -571*k**3 - 383 + 1380*k**3 - 640*k**3 wrt k?
507*k**2
Differentiate 437*r**2 - 35857 + 28979 - 6178*r**2 wrt r.
-11482*r
Suppose 0 = -5*c + 30 - 15. What is the third derivative of -92*l**4 + 7 + 144*l**c - 144*l**3 - 8*l**4 - 5*l**2 wrt l?
-2400*l
Suppose 8*f = -87 + 111. What is the third derivative of -33*j + 41*j**4 + 33*j - j**f + 45*j**2 - 73*j**4 wrt j?
-768*j - 6
Let l(r) be the first derivative of 67*r**6/30 + 47*r**2 - 89*r - 102. Let h(n) be the first derivative of l(n). Differentiate h(w) wrt w.
268*w**3
Let j be ((-34)/2)/(33/(-363)). Find the first derivative of -21*i - 385*i + 46 + j*i - 40*i wrt i.
-259
Let c(k) = k**3 - 42*k**2 + 117*k + 3. Let r be c(39). Let i(f) be the first derivative of -5/3*f**3 + 0*f**2 - 15*f + r. Differentiate i(j) wrt j.
-10*j
Find the second derivative of 34*m**4 - 802*m + 310*m**4 + 203*m - 200*m + 91*m**4 wrt m.
5220*m**2
Let w(v) be the second derivative of 157*v**5/20 + v**4/6 + v**3/3 + 3207*v**2/2 - 5757*v. What is the derivative of w(p) wrt p?
471*p**2 + 4*p + 2
Let z(i) = i + 1. Let k(r) = -3*r - 54 - 13*r + 75*r**2 + 20*r - 3. Let d(p) = -k(p) + 4*z(p). Differentiate d(h) wrt h.
-150*h
Suppose -4*w + 5*t - 48652 = 4*t, 2*w + 24320 = -t. Let d be (6/2)/(48642/w + 4). Find the third derivative of -30*o**4 - d*o**3 + 6081*o**3 + 36*o**2 wrt o.
-720*o
Find the second derivative of 47*k + 3427569*k**2 - 4030*k**5 - 3427569*k**2 + 18 wrt k.
-80600*k**3
Let a(j) be the second derivative of -363*j**4/2 + 952*j**2 + 14*j. What is the first derivative of a(h) wrt h?
-4356*h
Let z = -110 - -110. Find the second derivative of -2 + 2*r - 4*r - 1 - 126*r**2 + z wrt r.
-252
Let y(o) be the third derivative of -o**9/24 + o**5/60 - 151*o**4/24 + o**3/6 - 3*o**2 + 6*o - 5. What is the third derivative of y(f) wrt f?
-2520*f**3
Let k(o) be the third derivative of -907*o**8/112 - 503*o**5/30 - 75*o**2. Find the third derivative of k(w) wrt w.
-163260*w**2
Let v(o) = o**3 - 2*o**2 + 3*o - 4. Let u be v(2). Find the second derivative of -17*s - 8 + 10 - 4 + 3 - 60*s**u wrt s.
-120
What is the derivative of -2886*d**2 - 3946 - 5275828*d + 5275828*d wrt d?
-5772*d
Find the second derivative of -162*r**4 + 1925 + 79*r**5 - 2*r + 1844 + 186*r**4 wrt r.
1580*r**3 + 288*r**2
Let p(o) = 5*o**3 + o**2 - 1933*o. Let r(x) = 4*x**3 + 2*x**2 + x. Let k(v) = -p(v) - 2*r(v). Find the second derivative of k(g) wrt g.
-78*g - 10
What is the second derivative of 42*g**2 + 1465*g + 729*g**5 - 608*g**5 - 42*g**2 - 3773*g wrt g?
2420*g**3
Suppose -7*p + 380 = -299. Find the third derivative of 3*d**2 + 97*d**4 + 260*d**6 + d - p*d**4 + 0*d wrt d.
31200*d**3
Let y = -9 - -30. Let d be 1*(78/y + 4/14). Differentiate 2*c + c + 11 - 3*c - 11*c**d wrt c.
-44*c**3
What is the second derivative of -75*v - 91*v - 3535*v**3 - 79*v + 105 + 247*v + 82 wrt v?
-21210*v
Let z be 5/(3/(24/20)). What is the second derivative of -6*o**z - 153*o - 128*o + 61*o - 8*o**5 - 60*o + 0*o**2 wrt o?
-160*o**3 - 12
Let z(x) be the third derivative of -17*x**5/10 - 659*x**3/6 + 1482*x**2. What is the der