0 + 1/2*v**2. Differentiate r(s) with respect to s.
-24*s + 1
Find the third derivative of -67368996*n**2 - 890*n**4 + 34*n**4 + n**3 + 49*n + 67369019*n**2 wrt n.
-20544*n + 6
Let z(k) be the third derivative of -301*k**5/10 + 377*k**3 + 2526*k**2. What is the first derivative of z(c) wrt c?
-3612*c
Let f(a) be the second derivative of 1/10*a**5 - 69/2*a**2 + 230*a + 0 + 0*a**4 + 1/2*a**3. Differentiate f(y) wrt y.
6*y**2 + 3
Suppose -5*z = 16 + 4, 4*a = z + 20. Find the third derivative of l**3 + 5*l**3 + 7*l**5 - 18*l**2 + l**3 - a*l**3 + 82*l**2 wrt l.
420*l**2 + 18
Let p(f) be the third derivative of 43*f**7/280 - 22*f**4/3 + 104*f**3/3 + 16*f**2 + 4*f. Let b(q) be the first derivative of p(q). Differentiate b(h) wrt h.
387*h**2
Let k(m) = 610*m - 1585. Let w(a) = 609*a - 1594. Let p(y) = 2*k(y) - 3*w(y). Differentiate p(i) with respect to i.
-607
Let c(i) be the first derivative of 75/2*i**2 + 0*i + 14/3*i**3 + 75 + 1/4*i**4. What is the second derivative of c(f) wrt f?
6*f + 28
Let q(c) = -9317*c + 5388. Let t(h) = -9316*h + 5378. Let g(p) = -2*q(p) + 3*t(p). Differentiate g(k) wrt k.
-9314
Suppose 0 = 4*c + 3*f - 18 - 12, -f + 2 = 0. Find the second derivative of 2*q - 4*q + 3*q**4 - c*q**2 - 557 + 534 wrt q.
36*q**2 - 12
Suppose 10*g + 71 = 201. Suppose -g*k - 18 = -16*k. Find the first derivative of 5*i + k*i + 19 - i wrt i.
10
Let y be 14/6*(-186)/(-217). What is the third derivative of -96*h**3 + 3*h**y + 79 - 42 - 40 + 8*h**2 - 20*h**3 wrt h?
-696
Let s(o) be the first derivative of 17*o**4/4 + 19*o**3 + 681*o**2 + 41. Find the second derivative of s(i) wrt i.
102*i + 114
Let f(q) = q**3 - 2*q**2 + 1. Let s be f(3). Suppose -5*u - 4*c = 6, -u + 2*c + s = -0*c. What is the derivative of -1 - g - g - 16*g + u*g wrt g?
-16
Let b(w) be the third derivative of 0*w**4 + 0*w**3 + 3/14*w**8 + 0*w**6 + 72*w**2 + 0 + 0*w**7 + 37/30*w**5 + 0*w. Find the third derivative of b(z) wrt z.
4320*z**2
Let a(r) = -4826*r**2 + 3*r - 641. Let i(j) = -1206*j**2 + j - 160. Let o(w) = 2*a(w) - 9*i(w). Find the second derivative of o(y) wrt y.
2404
Let d(m) be the first derivative of -76/3*m**3 - 4 + 0*m - 55/2*m**2. What is the second derivative of d(r) wrt r?
-152
Let m(t) = 3516*t**3 + 1439*t**2 + 22. Let s(z) = -703*z**3 - 288*z**2 - 4. Let q(f) = -2*m(f) - 11*s(f). What is the third derivative of q(o) wrt o?
4206
Let f(g) be the third derivative of -12*g**7/7 + 89*g**3/6 + 2*g**2 + 752*g. What is the first derivative of f(o) wrt o?
-1440*o**3
Differentiate -1212*w - 2925 + 1770*w + 170 + 3263*w wrt w.
3821
Let t(b) = 14 - 7 - 1 - 7. Let a(f) = 40*f**4 - 29*f**2 - 3. Let m(j) = a(j) - 3*t(j). Find the third derivative of m(g) wrt g.
960*g
Suppose -3*p = -4*x + 2*p, 0 = x - 4*p. Suppose -b = 2*d - 3*d - 22, x = b - 5*d - 30. What is the first derivative of b - 6*u**3 - 9 - u**3 wrt u?
-21*u**2
Let u(w) = 3871*w**2 - 7413*w - 3. Let a(x) = 7742*x**2 - 14816*x - 5. Let o(m) = -3*a(m) + 5*u(m). Find the second derivative of o(y) wrt y.
-7742
Let l(i) be the second derivative of 437*i**7/14 - 1673*i**3/6 - 3*i + 61. What is the second derivative of l(a) wrt a?
26220*a**3
Let m(a) = 35 + 19*a - 5*a**2 + 35 - 185*a**4 - 14*a. Let y(p) = 278*p**4 + 7*p**2 - 7*p - 106. Let s(o) = -7*m(o) - 5*y(o). Differentiate s(r) wrt r.
-380*r**3
Let v(z) be the second derivative of -19/2*z**3 - 4*z**4 - 5 - 7*z + z**2. Find the second derivative of v(x) wrt x.
-96
Suppose -25 = -2*o - 21. Find the second derivative of 74*x + 4*x**3 + 3*x**3 + 9*x**3 - o*x**3 wrt x.
84*x
What is the third derivative of -9 - 331*w**6 - 662*w**2 + 2654*w**6 + 551*w**2 wrt w?
278760*w**3
Let p be 1/2*24/2. Let z(s) = s - 3. Let k be z(p). Find the third derivative of -x**2 - 4*x**2 + 8*x**k + 12*x**2 wrt x.
48
Let a(g) = 108*g**3 + 4*g**2 + 79*g - 8425. Let t(i) = -43*i**3 - 2*i**2 - 39*i + 4213. Let k(j) = -2*a(j) - 5*t(j). Find the first derivative of k(o) wrt o.
-3*o**2 + 4*o + 37
Find the second derivative of -4*m**3 + 26*m + 116*m - 88*m + 5*m**5 + 24*m - 127*m**2 - 14 wrt m.
100*m**3 - 24*m - 254
Let m(n) be the first derivative of 6454*n**3/3 + 7790*n + 253. Find the first derivative of m(s) wrt s.
12908*s
Suppose -2*o = -4*l + 29742, -3*l + 4*l - 7428 = 2*o. What is the second derivative of -1 - 58*v - l*v**5 + 0 + 7123*v**5 wrt v?
-6300*v**3
Let l(j) = j**2 - 8*j - 7. Let q(k) = -5341*k**2 - 90*k - 26. Let c(a) = 4*l(a) - q(a). What is the second derivative of c(v) wrt v?
10690
Let a(o) = 21*o**3 - 49*o + 819. Let w(q) = -q**3 + 5*q - 1. Let i(z) = -2*a(z) - 14*w(z). Differentiate i(t) with respect to t.
-84*t**2 + 28
Let j(f) be the third derivative of -163*f**7/70 - f**6/60 + 188*f**3/3 - 2*f**2 + 191*f. Differentiate j(n) with respect to n.
-1956*n**3 - 6*n**2
Let x be ((-44)/(-33))/(-1 - (-5)/3). What is the third derivative of 30*h**2 - 15*h**6 - 21*h**2 - 130*h**6 + 45*h**x wrt h?
-17400*h**3
Let q(s) = 32*s**2 - 3812*s + 34021. Let l(w) = -4*w**2 + 477*w - 4252. Let a(m) = -17*l(m) - 2*q(m). Find the first derivative of a(o) wrt o.
8*o - 485
Let h(p) = -p**2 + 10*p - 9. Let z be h(6). Suppose -2*c - 29 = 5*d, 3*d = -2*c + d - 8. What is the second derivative of 2*g**3 - z*g**3 + 3*g**c - 26*g wrt g?
-60*g
Let x(m) = -16*m**3 - 132*m**2 - 8*m + 15. Let k(n) = 14*n**3 + 130*n**2 + 7*n - 17. Let p(o) = -5*k(o) - 4*x(o). What is the second derivative of p(j) wrt j?
-36*j - 244
Let d(l) = 2*l**2 + l - 1. Let m(o) = 407*o**2 + 105*o - 4. Let a(h) = 4*d(h) - m(h). Find the second derivative of a(u) wrt u.
-798
Let n(q) be the second derivative of 568*q**3/3 - 4469*q**2/2 - 3532*q. Differentiate n(o) with respect to o.
1136
Let q be 108/126*(-42)/(-54)*(-1)/(-2). Let o(w) be the second derivative of 13*w**2 + q*w**4 - 30*w + 0 + 0*w**3. Differentiate o(t) with respect to t.
8*t
What is the third derivative of -738*z**4 - 714*z**4 - 2448*z**3 - 162*z**2 + 2448*z**3 wrt z?
-34848*z
Let i(o) be the first derivative of 1019*o**2 + 292*o + 489. Differentiate i(q) with respect to q.
2038
Find the second derivative of -66349*c**3 + 327*c - 37 + 38 + 64931*c**3 wrt c.
-8508*c
Let a(o) be the third derivative of -o**8/168 + 57*o**7/35 - o**5/60 + o**3/6 + o**2 + 143*o. What is the third derivative of a(i) wrt i?
-120*i**2 + 8208*i
Let r be 77 - 15 - -7*1. What is the second derivative of 61*x**2 - r*x**2 + 32 - 144*x**2 + 156*x - 32 wrt x?
-304
Let o(a) = 28*a + 2. Let j(t) = 3891*t + 2585. Let v(k) = -j(k) - 6*o(k). What is the first derivative of v(i) wrt i?
-4059
Let b(n) be the second derivative of 0*n**6 - 3*n**2 + n**5 + 0*n**4 - 33*n + 1 - 1/2*n**3 - 1/42*n**7. What is the second derivative of b(g) wrt g?
-20*g**3 + 120*g
Let x(r) = 62*r**3 + 3*r**2 - 8*r. Suppose -8*i + 9*i = -4. Let h(m) = m**3 - m**2 - 2*m. Let b(y) = i*h(y) - x(y). Find the third derivative of b(w) wrt w.
-396
Suppose -58*h + 6 = -56*h. Find the third derivative of -31*v**4 - 6*v - v**2 - 2*v - 23*v**h + 0*v + 29*v**4 wrt v.
-48*v - 138
Let n = -8602 + 8604. Let w(i) be the second derivative of 21*i - 9/20*i**5 + 0 + 0*i**4 - 2*i**n + 0*i**3. Find the first derivative of w(o) wrt o.
-27*o**2
Suppose -720 = 2*t - 17*t. Differentiate -t*g - 39 + 0*g**2 + g**2 + 39*g wrt g.
2*g - 9
Let d(v) be the second derivative of -19/30*v**6 + 3/20*v**5 - 54*v + 0*v**3 + 0 + 0*v**4 + 5*v**2. What is the first derivative of d(k) wrt k?
-76*k**3 + 9*k**2
Let p(v) be the second derivative of 0*v**4 + 1/3*v**3 + 0*v**5 + 3*v + 25 - 18*v**2 + 31/30*v**6. What is the derivative of p(l) wrt l?
124*l**3 + 2
Let d = -132 + 137. Find the first derivative of 5*r**2 - d*r**2 - 17*r**3 + 312 + 9*r**3 - 24*r**3 wrt r.
-96*r**2
Let v(k) be the second derivative of 1571*k**5/20 + 265*k**4/2 - 19*k - 61. What is the third derivative of v(r) wrt r?
9426
Find the second derivative of 6446 + 1190*r**5 + 6448 - 12894 - 1260*r wrt r.
23800*r**3
Find the third derivative of -55*m**3 - 12566*m**2 - 1435*m**3 - 8852*m**2 - 11233*m**2 + 36107*m**2 wrt m.
-8940
Find the third derivative of 145*q**5 + 67*q**5 - 9674*q**2 + 12570*q**2 - 1079*q**5 wrt q.
-52020*q**2
Let m(q) = q**4 + 12*q - 2. Let b(c) = 1626*c**4 - 96*c - 2792. Let d(n) = -b(n) - 8*m(n). Differentiate d(y) with respect to y.
-6536*y**3
Suppose 719 = 10*k + 129. Differentiate -187 + 52 - 4