-4*v**3 + 3*v**2 - 470*v
Let s(g) be the first derivative of -4*g**5/5 - g**4/2 - 66*g**2 - 8167*g - 11033. Differentiate s(x) wrt x.
-16*x**3 - 6*x**2 - 132
Let v = -5406 + 5409. Let r(k) be the first derivative of 0*k**v - 25 - 23*k + 0*k**2 + 4/5*k**5 + 0*k**4. Find the first derivative of r(j) wrt j.
16*j**3
Let o(c) be the third derivative of 563*c**6/40 - 83*c**5/3 + 101*c**2 + 5. What is the third derivative of o(j) wrt j?
10134
Let j(o) be the first derivative of 0*o**6 - 190/3*o**3 + 3/7*o**7 + 0*o**4 + 0*o + 11/5*o**5 + 0*o**2 - 120. Find the third derivative of j(i) wrt i.
360*i**3 + 264*i
Let q(s) be the third derivative of -585*s**8/56 - 136*s**4 + 25*s**2 - 24*s. What is the second derivative of q(z) wrt z?
-70200*z**3
Suppose 3*p - 48 = -42. What is the third derivative of 232*b**2 + 21*b**3 - 62*b**3 - 51*b**p - 44*b**3 wrt b?
-510
Let q(y) be the first derivative of 4*y**3 + 0*y - y**6 + 0*y**2 + 0*y**5 + 4 + 3/4*y**4. What is the third derivative of q(f) wrt f?
-360*f**2 + 18
Let i be (-5 - -9)*14*21/24. Let p be (i/2)/(0 + (-2)/(-36)). Find the third derivative of -p*r**6 + 220*r**6 + 214*r**6 - 34*r**2 wrt r.
-840*r**3
Let m(n) be the second derivative of -49*n**6/5 - 2787*n**2/2 + 33*n - 14. Differentiate m(h) wrt h.
-1176*h**3
Let a = -3088 + 4383. What is the derivative of -5*d**4 + 21*d**4 - 1364 + d + a wrt d?
64*d**3 + 1
Let o = -20073 - -20073. Let k(z) be the first derivative of 29*z + 34/5*z**5 + o*z**3 + 0*z**4 + 1 + 0*z**2. Differentiate k(x) with respect to x.
136*x**3
Let p(t) be the first derivative of 42*t**5/5 + 73*t**3/3 + 192*t + 88. Let h(f) be the first derivative of p(f). What is the second derivative of h(x) wrt x?
1008*x
Differentiate -5390 - g**3 + 8*g - g**2 - 4*g**3 + 190*g**4 - 193*g**4 - 8*g with respect to g.
-12*g**3 - 15*g**2 - 2*g
Let f(a) be the first derivative of -12*a**4 - 2/5*a**5 + 103 + 0*a**3 - 21/2*a**2 + 2*a. Find the second derivative of f(r) wrt r.
-24*r**2 - 288*r
Let j(p) be the third derivative of 0*p + 0*p**6 + 0*p**4 - 53/3*p**3 - 16 - 4*p**2 + 0*p**5 + 58/105*p**7. Differentiate j(b) with respect to b.
464*b**3
Suppose 35*g - 4 = 34*g. What is the first derivative of -10 - 10*d**4 + 6*d**4 - 86 - 31*d**g - d**2 wrt d?
-140*d**3 - 2*d
Let u(j) be the second derivative of 496*j**6/15 + j**4/6 + 1965*j**2/2 + 2*j + 180. What is the derivative of u(l) wrt l?
3968*l**3 + 4*l
Let y(d) = -d**2 - 2*d + 3. Let h be y(1). Suppose 5*j - 279 - 626 = h. Find the second derivative of -9*r**3 + j*r - 2*r**3 - 175*r wrt r.
-66*r
Find the third derivative of 9*v**2 + 23633*v - 11*v**2 + 7752*v**3 - 23629*v + 203 wrt v.
46512
Let a(t) be the second derivative of -111/20*t**5 + 0*t**3 - 4 + 0*t**4 + 2*t + 39/2*t**2. What is the first derivative of a(r) wrt r?
-333*r**2
Find the third derivative of -89*a**3 - 1394 + 3*a**5 + 1424 - 150*a**3 - 2*a**2 wrt a.
180*a**2 - 1434
Let w(m) = 9*m**4 - 3*m**2 + 51*m + 59. Let j(k) = -16*k**4 + 5*k**2 - 99*k - 118. Let r(t) = 3*j(t) + 5*w(t). What is the first derivative of r(c) wrt c?
-12*c**3 - 42
Let i(g) be the second derivative of 0*g**4 + 3 - 2*g + 0*g**3 + 41/10*g**5 + 99/2*g**2. What is the first derivative of i(o) wrt o?
246*o**2
Let a(c) = -1791*c**3 + 8*c**2 + 4*c + 91. Let q(k) = 5372*k**3 - 28*k**2 - 14*k - 273. Let o(v) = 7*a(v) + 2*q(v). Differentiate o(b) with respect to b.
-5379*b**2
Let b(i) be the first derivative of i**3/3 + 570*i**2 + 674*i - 2341. What is the first derivative of b(r) wrt r?
2*r + 1140
Suppose 0 = -10*o + 15*o - 300. Suppose 6*n - o - 240 = 0. Find the third derivative of n*a - 31*a**5 - a**6 + 3*a**6 + 5*a**2 - 51*a wrt a.
240*a**3 - 1860*a**2
Suppose 116 = 4*j - 28. What is the second derivative of 2*t + j - 41*t**2 + 32*t**5 + 32 + 0*t + 41*t**2 wrt t?
640*t**3
Find the second derivative of 14494*r**2 - 15357*r**2 + 89*r + 1166*r wrt r.
-1726
Let y(f) = 1196*f**3 + 18*f**2 - 6*f + 6626. Let d(i) = -3610*i**3 - 51*i**2 + 17*i - 19879. Let z(t) = -6*d(t) - 17*y(t). Differentiate z(w) wrt w.
3984*w**2
Suppose 0 = 2*r + 4*r - 102. Suppose -r*m - 30 = -20*m. Find the second derivative of -6*q**2 - 18*q + 3*q**2 + m*q**4 + 3*q**2 wrt q.
120*q**2
Let a be 2/7 + 4 + 330/(-77). What is the third derivative of 9*n**4 + n**2 + a*n**2 + 36 - 261*n**3 + 261*n**3 - 2*n**5 wrt n?
-120*n**2 + 216*n
Let p be ((-68)/16)/(1/(-4)). What is the third derivative of 19*r**2 + p*r**4 - 6 + 13*r**2 + 8 - 10*r**4 wrt r?
168*r
Let h(f) be the third derivative of 1649*f**7/210 + 4351*f**4/24 - 2*f**2 - 174. What is the second derivative of h(w) wrt w?
19788*w**2
What is the second derivative of -3361*m**3 - 4852*m**4 - 2260*m**4 - 8*m + 3361*m**3 + 215 + 12 wrt m?
-85344*m**2
Let f(s) be the third derivative of -781*s**7/210 + s**5/15 - 26*s**4/3 - 1063*s**2 + 2. What is the third derivative of f(y) wrt y?
-18744*y
Differentiate 89*v + 913 + 683*v - 180*v with respect to v.
592
Find the second derivative of 14*x**3 + 2421*x + 1173*x**4 - 14*x**3 - 35 - 2413*x wrt x.
14076*x**2
Differentiate -986*u**2 + 986*u**2 - 12*u**4 - 30*u**4 - 5648 + 1432 wrt u.
-168*u**3
Let p(g) be the first derivative of 285*g**4 + g**2/2 - 179*g - 722. What is the second derivative of p(j) wrt j?
6840*j
Let y(u) be the first derivative of -446*u**3 + 1328*u - 518. Find the first derivative of y(p) wrt p.
-2676*p
Let a(y) = -38*y - 219. Let w be a(-9). Find the second derivative of -43*h + h**2 - 13*h + w*h**3 - 28*h - 20*h wrt h.
738*h + 2
Let s(b) = 2*b**2 + 16*b + 25. Let i be s(-10). Suppose -4*v - v = -i. What is the derivative of 0*t + 7*t - 4*t - 9 + v*t wrt t?
16
Let p be (-3)/(63/(-511))*3. What is the third derivative of -5*k**2 - 10 + 98*k**3 + 2*k**2 - p*k**3 wrt k?
150
Let m be ((-527)/(-51))/(1/3). Differentiate 2*j - j + 15*j**2 + m + 19 - 218 wrt j.
30*j + 1
Let y(r) = -414*r**3 + 16*r**2 - 430*r + 22. Let q(l) = -l**3 + l**2 + 2*l + 2. Let o(w) = 14*q(w) - y(w). Find the second derivative of o(h) wrt h.
2400*h - 4
Let a(r) be the first derivative of 2474*r**3/3 + 1241*r**2/2 + 7872. Find the second derivative of a(h) wrt h.
4948
Let f(j) be the third derivative of 0 + 0*j**4 + 4*j + 0*j**5 + 13/3*j**3 + 41/120*j**6 - j**2. Differentiate f(t) wrt t.
123*t**2
Let n(o) = -o**2 - 37*o + 40. Let d be n(-38). Find the third derivative of 16*z**2 + 299*z - 301*z + 53*z**3 + 54*z**2 - 8*z**d wrt z.
318
Differentiate 7316*v**2 - 17638*v**2 + 8253*v**2 + 7766*v**2 + 5683 with respect to v.
11394*v
Let g(n) = 6*n + 6. Let c be g(-1). Let d be (-9)/(36/(-40)) - (-3 - c). What is the first derivative of d*a**4 - 37 - 8 - 22 + 16 wrt a?
52*a**3
Let a(p) = -2173*p**6 + 2*p**3 - 448*p**2. Let k(q) = q**3 + q**2. Let s(d) = a(d) - 2*k(d). What is the third derivative of s(l) wrt l?
-260760*l**3
Let s be ((-36)/30)/((-1)/(-5)). Let g be 2 + ((-164)/s - (-4)/(-12)). What is the derivative of 34 + g*v + 42 - 73 wrt v?
29
Let f = -55 + 57. Suppose -z = f*z. What is the first derivative of 0*i + 15 - 17*i + z*i wrt i?
-17
Let x = -178 - -263. Find the third derivative of 13*i**2 + 47*i**2 - 18*i**2 + 43*i**2 - x*i**4 wrt i.
-2040*i
Suppose 3*k + s - 15 = 0, 5*s + 9 = 2*k - 1. Suppose -7*z + 6 = -k*z. Differentiate 12*f**3 - 16 - 8*f**z + 15*f**3 with respect to f.
57*f**2
Let c(v) be the first derivative of -v + 5/2*v**2 + 0*v**3 - 129 - 155/4*v**4. What is the second derivative of c(s) wrt s?
-930*s
Let p = 81 - 81. Suppose -m + 5*w + 18 = p, 0*w + w = -5*m + 64. Find the second derivative of 12*u**4 - 10*u**4 - 7*u - m*u**4 wrt u.
-132*u**2
Let d(q) be the third derivative of 949*q**6/120 - 893*q**3/6 - 1113*q**2. Differentiate d(j) wrt j.
2847*j**2
Suppose -3 = 4*k + 3*b, 3*b = -4*k - 2*b - 13. Let d be (-45)/(-12) + k/12. What is the third derivative of 3*f**2 + 2*f**4 - 6*f**d - 6*f**4 wrt f?
-240*f
Let r be 70 + 3 + (-1 - 3). What is the first derivative of -41 + r*p - 41*p - 39*p wrt p?
-11
Let j be 1/(-2)*(49 + -3). Let l = j + 30. What is the third derivative of l*s**2 - 2*s**4 - 17*s**3 + 17*s**3 wrt s?
-48*s
Let a be (-948)/(-20) - (-2)/(-5). What is the derivative of 129 + 110*l**2 - 80 + 182 - a*l**2 + 49*l**2 wrt l?
224*l
Let r(g) be the second derivative of 53*g**5/20 + 897*g**2/2 + 2*g - 191. What is the first derivative of r(t) wrt t?
159*t**2
Suppose