- 5. Let j(h) = 2*h**3 + h**2. Suppose 37*y - 32*y = -10. Let c(q) = y*j(q) - k(q). Find the third derivative of c(g) wrt g.
330
Let l(j) be the first derivative of 2*j**2 - j**5 - 28 + 24*j - 9*j + 2*j**5 - 24. Differentiate l(v) wrt v.
20*v**3 + 4
Differentiate -4423 - 7900*s**3 - 3169*s**3 + 3210 + 15725 wrt s.
-33207*s**2
Let m(a) = a**3 - a**2 + a - 25. Let l(t) = -8895*t**4 + 5*t**3 - 5*t**2 + 5*t + 560. Let x(r) = -l(r) + 5*m(r). What is the derivative of x(f) wrt f?
35580*f**3
Let v = 4267 - 85333/20. Let i(k) be the second derivative of -v*k**5 + 0 + 7*k - 7/2*k**2 + 0*k**4 + 0*k**3. What is the first derivative of i(z) wrt z?
-21*z**2
Suppose -4*k + 8 = 0, 0 = 2*w + 2*w - 4*k + 140. Let v = 37 + w. Find the third derivative of m**v + 6*m**4 - 5*m**2 + 2*m**2 - m**4 wrt m.
144*m
Suppose 25*d = 3 - 3. What is the derivative of -206*m + d*m + 113 + 23*m wrt m?
-183
Suppose 66*p + 152 = 68*p. Let t = 90 - p. What is the third derivative of 2*n**2 - 9*n**2 + 0*n**4 + 0*n**4 - t*n**5 wrt n?
-840*n**2
Let i(j) = -330*j. Let w be i(4). Let c be (1 - 5)/(6/w). What is the third derivative of -c + 880 - 2*g**4 - 14*g**4 + 7*g**2 wrt g?
-384*g
Let d(p) be the first derivative of -130*p + 13 - 5/2*p**4 + 0*p**3 + 3/2*p**2. Find the first derivative of d(b) wrt b.
-30*b**2 + 3
Let r(q) be the third derivative of 0 + 0*q**4 + 17/60*q**6 - 71/60*q**5 + 0*q + 85*q**2 + 0*q**3. What is the third derivative of r(h) wrt h?
204
Let n(l) = -178*l - 411. Let s(d) = 89*d + 205. Let u = -867 - -858. Let a(h) = u*s(h) - 4*n(h). Differentiate a(b) with respect to b.
-89
Let h(g) be the third derivative of -2131*g**6/24 + 1507*g**4/3 - 2226*g**2. What is the second derivative of h(c) wrt c?
-63930*c
What is the first derivative of 18275*p**2 + 1189*p - 18277*p**2 + 2748 - 268 wrt p?
-4*p + 1189
Let p(h) be the third derivative of -12*h**6/5 - 159*h**3/2 + 1697*h**2. What is the first derivative of p(c) wrt c?
-864*c**2
Suppose -3*k + 97 = 4*x + 257, -3*x + k = 120. Let f be (-18)/36*x/2. Find the third derivative of f*l**2 + 19*l**2 + 6*l**3 + 0*l**2 - 15*l**2 wrt l.
36
Let f(s) = -2017*s**3 - 6*s**2 - s - 287. Let q(g) = 3*g**3 - 2*g**2 - g + 2. Let i(c) = f(c) - 3*q(c). What is the second derivative of i(z) wrt z?
-12156*z
Let t(s) be the third derivative of 0*s**4 + 0*s**5 + 0*s - 19*s**2 - 3/5*s**7 - 77/6*s**3 + 0*s**6 + 2. What is the first derivative of t(i) wrt i?
-504*i**3
Let x(b) be the first derivative of -26*b**4 - 2*b**3/3 + 2945*b**2/2 - 1149. Find the second derivative of x(f) wrt f.
-624*f - 4
What is the second derivative of 10892*p - 3040*p - 57718659*p**5 + 57711690*p**5 wrt p?
-139380*p**3
Let i be 0/((-4)/2)*(-190)/380. Let l(s) be the third derivative of -s**2 + 0*s + i + 0*s**4 + 13/6*s**3 + 3/20*s**5. Differentiate l(o) wrt o.
18*o
Let n(l) be the second derivative of 2*l**3/3 + 91*l**2/2 + 190*l. Let w(j) = -20*j - 454. Let a(r) = -33*n(r) - 6*w(r). Differentiate a(i) with respect to i.
-12
What is the first derivative of -2149*c**2 + 273 + 142 + 132 - 85 wrt c?
-4298*c
Suppose u = 592 - 68. Find the second derivative of 520 + 5*a + 207*a**2 - 2*a - u wrt a.
414
Let j = -56 - -67. Suppose -2*n = -9 - j. What is the derivative of -a**3 - n*a**3 + 5 + 4 - 16 wrt a?
-33*a**2
Find the third derivative of 2685*j**5 + 2910717*j**4 - 2910717*j**4 + 595*j**5 + 2448*j**2 - 483*j**5 wrt j.
167820*j**2
Let g(h) = 104*h**3 + 10*h**2 + 3*h - 6. Let t be -6 - -10*2/4. Let d(s) = s**3 + s - 1. Let v(j) = t*g(j) + 6*d(j). What is the third derivative of v(q) wrt q?
-588
Let g = -19 + -35. Let x = 58 + g. Find the third derivative of 48*y**x - 32*y**2 + 11*y**2 - 19*y**4 wrt y.
696*y
Let z(w) = -65*w**2 - 33*w - 3. Let h = -47 - -50. Let n(l) = -130*l**2 - 65*l - 5. Let t(v) = h*n(v) - 5*z(v). What is the second derivative of t(r) wrt r?
-130
Let p(y) = 17*y + 55. Let c be p(-3). Differentiate -8 + 34 - 11213*k**4 + 11247*k**c + 3 with respect to k.
136*k**3
Find the third derivative of -3974*t**6 + 19529*t - 8500*t**2 - 19529*t wrt t.
-476880*t**3
Find the first derivative of -87*d**4 + 225*d**4 + 0*d**4 + 2*d**3 + 921 wrt d.
552*d**3 + 6*d**2
Let x = 200 + -197. What is the second derivative of 55*o**2 - 16*o**2 + 5*o**3 - o**x - 23*o**2 - 54*o wrt o?
24*o + 32
Let i be (2/(-3))/((-96)/16272). What is the second derivative of -52*h**3 + 63*h**3 + 162*h - i*h**3 wrt h?
-612*h
Suppose -2*w + 9 = -4*i + 1, 2*w = 3*i + 7. What is the derivative of 35*m**w - m + 14*m**2 + 81 + 43 wrt m?
98*m - 1
Let p(z) be the third derivative of 6*z**2 - 1/70*z**7 + 0*z**4 - 2 + 0*z + 0*z**6 - 2/15*z**5 + 23/6*z**3. What is the derivative of p(u) wrt u?
-12*u**3 - 16*u
Suppose -l = -3*r + 7*r + 153, -2*r - 59 = -3*l. Let t = -34 - r. What is the second derivative of 4*c**3 - 9*c - 8*c**3 - 10*c**t - 19*c**3 wrt c?
-198*c
Let h be 63/35 - 2/(-10). What is the second derivative of 111*p - h + 1 + 16*p**4 + p**2 - 121*p wrt p?
192*p**2 + 2
Let j(v) = -345*v**3 + 12*v**2 + 2978*v + 6. Let k(d) = -342*d**3 + 10*d**2 + 2978*d + 5. Let r(l) = -5*j(l) + 6*k(l). Find the second derivative of r(c) wrt c.
-1962*c
Let h(s) be the second derivative of 329*s**5/4 - 5*s**3 - 11*s**2 + 2*s + 1478. What is the second derivative of h(x) wrt x?
9870*x
Suppose 0*k = -2*f + 2*k + 34, 4*f - 5*k - 64 = 0. Find the first derivative of -8*p**2 - f*p**2 + 134*p**2 + 12 wrt p.
210*p
Let v(h) be the third derivative of -3727*h**7/70 - 2318*h**3/3 - 5515*h**2. What is the first derivative of v(s) wrt s?
-44724*s**3
Let n be 1/2*2*18. Differentiate -407*g**2 - 17 + 533*g**2 - n with respect to g.
252*g
Suppose 0 = -32*q + 26*q + 12. What is the derivative of 24*o**q - 2 - 28*o**2 + 19*o**4 - 19 wrt o?
76*o**3 - 8*o
Suppose g - 23 = -4*t + 14, -3*g + 4*t + 111 = 0. What is the second derivative of -610*n - 7*n**2 - g*n**2 + 737*n - 168*n**2 wrt n?
-424
Let l(f) be the second derivative of f**5/20 - 121*f**4/12 + 13*f**3/6 - 2980*f**2 + 2*f + 1894. What is the first derivative of l(i) wrt i?
3*i**2 - 242*i + 13
Let s be (-2)/(-4)*(7 + -1). Suppose p - 50 - 134 = 3*t, -178 = -p - s*t. What is the second derivative of 2*q + 2*q + p*q**3 - 166*q**3 wrt q?
90*q
Let z(j) = -5*j + 271. Let y(n) = -2*n + 136. Let b be 9/18 - 21/6. Let h(s) = b*z(s) + 5*y(s). What is the first derivative of h(p) wrt p?
5
Suppose x - 5 = -2*y, 2*x - 20 = y + 7*x. Suppose -6 - 4 = -y*i. Differentiate 1 - 4*o - 13*o - i*o - 12 with respect to o.
-19
Suppose 4*i + 8 = -12. Let x be (i + 1)*5/(-10). What is the third derivative of 11*v**x + 3*v**3 - 20*v**2 - v**3 wrt v?
12
What is the derivative of 1487 - 6011*l**4 - 6101*l**4 + 11460*l**4 + 12246 wrt l?
-2608*l**3
Let n be -15*(3979/(-460) - (-6)/(-8)). Differentiate n - 18*t - 444 - 22*t + 138 with respect to t.
-40
Let n be 7/2 + (-6)/12. Suppose 0*q = -3*q + n, -2*v + q + 25 = 0. Find the third derivative of 4*l**2 + 15*l**4 - v*l**4 - 13*l**4 wrt l.
-264*l
What is the derivative of 2519502*j - 2519502*j + 6714 - 1553*j**2 wrt j?
-3106*j
Let n(s) = 1619*s**2 - 4*s - 259. Let f(m) = 3236*m**2 - 10*m - 528. Let i(q) = -2*f(q) + 5*n(q). Differentiate i(j) with respect to j.
3246*j
Let m be -5 + 2 + 2 - 1. Let o be (1/m)/(-1 + 46/48). Differentiate -63 + 18 - 21*y**4 + o + 19 with respect to y.
-84*y**3
Let z(q) be the second derivative of 1367*q**5/20 - 3089*q**3/6 - 39*q. Find the second derivative of z(b) wrt b.
8202*b
Let t(v) = 15*v + 64. Let d(j) = j + 4. Suppose 2*c + 14 = 3*c + 3*r, r - 8 = 3*c. Let o(n) = c*t(n) + 6*d(n). Differentiate o(i) wrt i.
-9
Let s(v) be the third derivative of 13*v**6/24 - 8*v**5/15 - v**4/12 - 259*v**3/2 - 905*v**2 - 2. Find the second derivative of s(g) wrt g.
390*g - 64
Let h(l) be the first derivative of -1621*l**4 + 4*l**3/3 - 923*l**2/2 + 12118. Find the third derivative of h(u) wrt u.
-38904
Let g(t) be the second derivative of 7429*t**3/6 - 1167*t**2/2 - 260*t - 2. What is the derivative of g(w) wrt w?
7429
Let i(b) = 5565*b**2 - 6*b - 6721. Let v(c) = -5566*c**2 + 5*c + 6733. Let q(l) = -5*i(l) - 6*v(l). What is the derivative of q(o) wrt o?
11142*o
Let v(d) be the first derivative of 1294*d**5/5 - 1547*d - 167. Differentiate v(t) wrt t.
5176*t**3
Suppose 14*t - 48 = 8*t. Let y(l) = -l + 5. Let q be y(3). Find the first derivative 