s the first derivative of f(k) wrt k?
111*k**2 - 1
Let s(v) = -7*v**4 + v**3 + v**2 + 3*v - 1. Let i(f) = 141*f**4 - 8*f**3 - 8*f**2 + 9429. Let a(o) = i(o) + 8*s(o). Differentiate a(t) wrt t.
340*t**3 + 24
Let p(c) be the second derivative of -173*c**6/6 - 44*c**2 + 19*c + 9. What is the derivative of p(f) wrt f?
-3460*f**3
Let x(u) = u**2 + 5*u + 10. Let m be x(-7). What is the third derivative of -54*q**4 - 3*q**5 - m*q**2 + 7*q**2 + 54*q**4 + 2 wrt q?
-180*q**2
What is the third derivative of 5427*i**5 - 85606*i**3 + 85606*i**3 + 10809*i**2 wrt i?
325620*i**2
Let t(y) be the first derivative of -2*y**5/5 + 2*y**3/3 + 331*y**2/2 - 160*y - 5333. What is the first derivative of t(p) wrt p?
-8*p**3 + 4*p + 331
Let o(t) = 1116*t**2 - 22*t - 5782. Let d(b) = -1117*b**2 + 29*b + 5780. Let y(z) = -3*d(z) - 4*o(z). Differentiate y(k) with respect to k.
-2226*k + 1
Let u be 4/(-72)*-9*(8 - 0). What is the second derivative of -1689*g**u - g**3 + 3578*g**4 - 1773*g**4 + 153*g + g**3 wrt g?
1392*g**2
Let s(a) be the first derivative of 0*a**2 - 2/3*a**3 - 28/5*a**5 - 20*a + 1/2*a**6 - 74 + 0*a**4. What is the third derivative of s(v) wrt v?
180*v**2 - 672*v
Let a be (-800)/64*(1/(-1) - 1). What is the first derivative of -18*s + 94 + 114*s**2 + a*s - 7*s wrt s?
228*s
Let v(w) be the first derivative of 382*w**5 - w**4/2 + 5*w**3/3 - 17*w**2 - 3*w + 423. What is the third derivative of v(n) wrt n?
45840*n - 12
Find the third derivative of -55*h**2 - 152*h**2 - 612*h**4 - 269*h**2 - 828*h**2 wrt h.
-14688*h
Suppose -60 - 85 = -5*t. Let g(k) = k**3 + 10*k**2 - 41*k - 10. Let a be g(-13). Find the second derivative of -29 - 3*s + a*s**5 + s + t wrt s.
320*s**3
Let c(x) = 5*x**3 - x**2 + 2*x - 2. Let b(n) = 27*n**3 - 1911*n**2 + 638*n - 10. Let s(a) = -b(a) + 5*c(a). What is the second derivative of s(o) wrt o?
-12*o + 3812
Let o(j) = -2*j + 28. Let g be o(9). Let k = -6 + g. What is the derivative of -3 + k + 3 + 9*n**2 - 3 wrt n?
18*n
Let a(j) = j**3 + 16*j**2 + 16*j + 20. Let r be a(-15). Suppose 5*t = 4*t + r. Differentiate -8 + 1 + 10*l**3 - t - 2 with respect to l.
30*l**2
What is the second derivative of 162*o**2 + 1942*o**2 - o**3 + 760*o**2 + 3562*o wrt o?
-6*o + 5728
Let v(o) = -3*o**3 - o**2 - 2*o - 1. Let j be v(-1). Let y be j - (3 + 31)/(-2). What is the third derivative of 20*f + 14*f**6 - 40*f + y*f - 8*f**2 wrt f?
1680*f**3
Let d(v) be the third derivative of -593*v**6/120 + 109*v**4/4 + 626*v**2. Find the second derivative of d(b) wrt b.
-3558*b
Let j(u) = 14175*u**3 - 24*u**2 + 43*u - 26. Let s(f) = 7087*f**3 - 13*f**2 + 22*f - 13. Let l(z) = 6*j(z) - 11*s(z). Find the third derivative of l(q) wrt q.
42558
Let v(g) be the second derivative of 0*g**4 - 1/2*g**6 + 37/6*g**3 + 0 + 91*g + 1/20*g**5 + 1/2*g**2. Find the second derivative of v(n) wrt n.
-180*n**2 + 6*n
Let s = -76 - -92. Suppose s = -4*t, 23 = 5*h - 2*t - 10. Find the third derivative of -19*d**5 - 36*d**h + 78*d**5 + 21*d**2 wrt d.
1380*d**2
What is the third derivative of 3141*w**4 + 0*w**2 + w**2 - 604*w**4 - 1279*w wrt w?
60888*w
What is the second derivative of -1000*h**3 + 329 + 1864*h + 2*h**2 - 331 + 849*h**3 wrt h?
-906*h + 4
Let u(v) = -14475*v - 8833. Let m(j) = -2896*j - 1767. Let i(n) = -11*m(n) + 2*u(n). Differentiate i(c) with respect to c.
2906
Let u(j) be the third derivative of 0*j**5 - 1/48*j**8 + 0 + 0*j**3 + 1/35*j**7 + 0*j**6 + 2*j**2 + 55/24*j**4 - 8*j. Find the second derivative of u(p) wrt p.
-140*p**3 + 72*p**2
Let o = 174 + -150. Suppose 3 = 9*w - o. Differentiate -7 + u**3 - u**3 - w*u**3 with respect to u.
-9*u**2
Find the third derivative of -538*y**5 + y**2 + 0*y**2 - 11*y**5 + 11*y - y**2 - 9*y**2 wrt y.
-32940*y**2
Let q be 104/(-78)*(1 + 107)/2. Let s be (-54)/q + (-149)/(-4). Find the second derivative of s*k - 5*k**3 - 14*k**2 - 7*k**3 + 14*k**2 wrt k.
-72*k
Suppose 0 = -3*a - i - 2*i + 159, 0 = 4*a - 4*i - 180. Let w be (-1 - -1)/(-2 + 5). Find the first derivative of -2 - a - 35*x**3 + w*x**3 wrt x.
-105*x**2
Find the third derivative of 26 + 103*k**2 - 19*k**2 - 24 + 50*k**6 - 179*k**6 + 100*k**2 wrt k.
-15480*k**3
Let o = 368 + -270. Find the third derivative of 17*c**4 + 30*c**2 + o*c**5 - 96*c**2 - 103*c**5 - 2*c**3 + 2*c**3 wrt c.
-300*c**2 + 408*c
Let p(u) be the first derivative of -4833*u**4/2 + 1567*u - 2499. Differentiate p(h) wrt h.
-28998*h**2
Let r = -140 + 140. Differentiate 0*i**4 - 99 - 39*i**4 + r*i**4 + 10 wrt i.
-156*i**3
What is the second derivative of 15*d + 1524 - 2*d - 1342*d**3 - 1548 wrt d?
-8052*d
Let i be 20/25*(-5)/(-2). Suppose 0 = -3*c + 5*k + 59, 5*k - 5 + 25 = 0. What is the third derivative of 15*h + c*h**i - h**3 - h**2 - 15*h wrt h?
-6
What is the first derivative of -17545*r**2 + 17545*r**2 + 1208 + 2386*r**4 wrt r?
9544*r**3
Let c(r) be the second derivative of -1460*r**7/21 - 1039*r**4/12 - r**3/3 + r - 127. Find the third derivative of c(i) wrt i.
-175200*i**2
Let s(u) = 7001*u + 3133. Let x(j) = 3500*j + 1571. Let z(p) = 3*s(p) - 5*x(p). Differentiate z(l) with respect to l.
3503
Let w(a) be the first derivative of a**2/2 - 2*a - 62. Let b(y) = 36*y - 108. Let h(c) = -2*b(c) + 168*w(c). Find the first derivative of h(l) wrt l.
96
Let v(n) = -10*n**3 + 4*n + 703. Let d(r) = r**3 + 2*r + 1. Let b(o) = 6*d(o) + v(o). What is the first derivative of b(q) wrt q?
-12*q**2 + 16
Let d(r) be the third derivative of 53*r**6/6 + r**5 + 1408*r**2. Find the third derivative of d(x) wrt x.
6360
Let u(y) = y**3 + 5*y**2 - 6*y - 4. Let z be u(-4). Suppose -44 + z = -2*n. Find the second derivative of -d - 7*d**4 + 9*d**4 - 14*d**4 - 14*d**n wrt d.
-312*d**2
Let f(g) be the first derivative of 0*g**4 - g**3 + 26*g**2 + 0*g + 1/5*g**5 - 2. Find the second derivative of f(b) wrt b.
12*b**2 - 6
Let u be (-3430)/(-4) - (-72)/(-48). Find the third derivative of 1391*o**2 - u*o**2 - 665*o**2 + 310*o**3 wrt o.
1860
Differentiate 939*s**2 - 2530 - 38 - 2537 + 1197 + 1511*s**2 with respect to s.
4900*s
Differentiate -4306*c - 243 + 1381 + 1038*c + 485 - 3139*c with respect to c.
-6407
Let r(l) be the first derivative of -625*l**6/6 + l**3/3 + 98*l**2 + 2*l - 1801. Find the second derivative of r(q) wrt q.
-12500*q**3 + 2
Let t(m) be the first derivative of -586*m**3/3 + 48*m**2 - 4*m - 900. What is the second derivative of t(l) wrt l?
-1172
Let y(i) be the third derivative of -2*i**7/105 + i**6/40 - 3187*i**5/30 + 2*i**2 - 4*i - 10. Find the third derivative of y(n) wrt n.
-96*n + 18
Let x(g) = 455*g**2 + g - 20. Let t be x(4). Differentiate -t + 11*a + 7182 + 94*a with respect to a.
105
Let b(d) be the second derivative of d**6/30 - 3157*d**5/20 - d**4/12 + d**3/3 - 63*d**2 + 14*d. Find the third derivative of b(f) wrt f.
24*f - 18942
Let f be (20/6)/(18/27). Suppose -5*u + 3*w - 5 = -0*w, f*u - 5*w = -15. Find the third derivative of 67*k**5 - 73*k**5 - 14*k**2 - 4*k**u wrt k.
-360*k**2
Let c(q) be the second derivative of 2287*q**5/10 + 569*q**2 + q - 872. Differentiate c(i) with respect to i.
13722*i**2
Let v(o) be the first derivative of -2512*o**4 + 5*o**2 + 616*o - 2246. What is the second derivative of v(f) wrt f?
-60288*f
What is the derivative of -204*p**3 + 1068 + 206*p**3 + 36*p**2 - p + p wrt p?
6*p**2 + 72*p
Let f(y) = -5441*y**3 + 7*y**2 - 18*y - 3767. Let m(l) = 2721*l**3 - 3*l**2 + 8*l + 1884. Let t(a) = 3*f(a) + 7*m(a). What is the derivative of t(j) wrt j?
8172*j**2 + 2
Suppose -w - 5*x = -21, 2*w + 5*x = 3*w + 9. What is the third derivative of -23 + 10 + w + 9*t**3 + 224*t**2 + 7 wrt t?
54
Let r(h) be the first derivative of -h**4/4 + 3*h - 4. Let p be r(0). What is the third derivative of 8*d**3 + 0*d**3 + 22*d**2 - 4*d**p + 3*d**3 wrt d?
42
Let m(g) be the third derivative of 0 + 0*g + 127/12*g**4 - 148*g**2 - 68/3*g**3. Differentiate m(l) with respect to l.
254
Let q(z) be the first derivative of -11*z**6/10 + 33*z**3/2 - 62*z - 39. Let v(i) be the first derivative of q(i). What is the second derivative of v(j) wrt j?
-396*j**2
Let k be 68/(-8 + 4)*(-1)/1. Suppose 1 = -l + k. Find the first derivative of -60*u**3 - 51*u**3 + 121*u**3 - l wrt u.
30*u**2
Let g(w) = -50*w + 53. Let f be g(1). Differentiate -5 - 12*m**f - 6*m**3 + 268 - 9*m**3 wrt m.
-81*m**2
Find the third derivative of -250*u**6 + 