. Find the second derivative of 38 - 91*c**3 - 3*c - 46*c**b - 82 + 40 wrt c.
-822*c
What is the second derivative of -3 + 581*t**2 + 303*t**2 - 359*t**2 + 508*t**2 + 615*t**2 + 127*t wrt t?
3296
Find the third derivative of q**4 + 21*q + 4*q - 2005*q**3 - 7*q + 1229*q**2 - 18*q wrt q.
24*q - 12030
Let n(a) be the third derivative of -143*a**7/42 + a**6/120 - 13*a**4/24 + 2*a**3/3 - 1840*a**2. What is the second derivative of n(r) wrt r?
-8580*r**2 + 6*r
Suppose 2*c + 0*c = -5*t + 23, -3*c + 2*t = -6. Suppose -8*l + 9*l = c. Find the third derivative of -67 + 67 - l*f**2 - 21*f**5 + 12*f**2 wrt f.
-1260*f**2
Let j(v) be the first derivative of -2643*v**4/2 - 6241*v - 230. What is the derivative of j(l) wrt l?
-15858*l**2
Let w(t) be the third derivative of 1477*t**5/60 + 931*t**3/2 - 818*t**2 - 1. What is the derivative of w(c) wrt c?
2954*c
Let w(d) = -3*d**3 - 34*d**2 - 2430*d. Let a(h) = 3*h**3 + 17*h**2 + 1215*h. Let i(f) = -5*a(f) - 3*w(f). What is the second derivative of i(o) wrt o?
-36*o + 34
Let x(z) be the first derivative of 537*z**4/4 + 4*z**3/3 - 13*z**2/2 - 418*z + 8905. Find the second derivative of x(v) wrt v.
3222*v + 8
Let f(i) = -700*i + 1322. Let r(q) = -3*q. Let g(h) = -f(h) + 5*r(h). Differentiate g(z) with respect to z.
685
Let i be (-6*(-11)/(-297))/(2/(-18)). What is the third derivative of 29*f**i - 82*f**3 - 9 + 9 + 0*f**2 - 102*f**3 wrt f?
-1104
Let c(w) be the second derivative of 77*w**4/6 + w**3/2 - 1585*w**2 - 408*w - 1. What is the derivative of c(z) wrt z?
308*z + 3
Differentiate 271 - 1507 - 377*n**4 + 71215*n - 71215*n - 670 wrt n.
-1508*n**3
Let c(a) be the third derivative of -319*a**5/60 - 141*a**4/8 - a**3/6 - 4*a**2 - 115. Find the second derivative of c(q) wrt q.
-638
Suppose -232*h + 400 = 102 - 2254. Let v(r) be the third derivative of 0 + 1/2*r**4 - 2*r + 4*r**3 + h*r**2. What is the first derivative of v(p) wrt p?
12
Suppose 0 = 3*d + 6*m - 2*m - 10, 4*d = 4*m + 4. What is the first derivative of -4 + 102*b**2 + 81*b**d + 6 - 151*b**2 wrt b?
64*b
Let a(c) be the third derivative of -107*c**4/3 - 985*c**3/6 + 250*c**2 + 1. Differentiate a(l) wrt l.
-856
Suppose 11*j = 16861 - 16586. Let l(n) be the first derivative of j + 0*n**2 - 26/3*n**3 - 25*n. Find the first derivative of l(w) wrt w.
-52*w
Let t(w) = 1817*w**3 + 0*w**2 - 2*w**2 - 1816*w**3 + 1 - w. Let n(f) = -18*f**3 + 7*f**2 + 4*f - 30. Let o(i) = n(i) + 4*t(i). Differentiate o(h) wrt h.
-42*h**2 - 2*h
Suppose 35*p = 31*p - 384. Let b = -89 - p. What is the derivative of -b - 4*f**4 + 22*f**4 - 10*f**2 + 10*f**2 wrt f?
72*f**3
Suppose 0 = -5*a - 14 - 526. Let d = -100 - a. What is the first derivative of 17 - d*o**2 + 24 + 0*o**2 - 4 wrt o?
-16*o
Let a = 0 + 8. Suppose -v - a = -3*v, -v = q - 6. What is the third derivative of -31*z**6 + 27*z**q - 350*z + 350*z wrt z?
-3720*z**3
Find the third derivative of 24*f**5 + 87*f**5 - 14*f**2 + 27*f**5 + 88 + 63 + 26*f**5 wrt f.
9840*f**2
Let c(b) = 62*b**5 + b**4 - 3*b**3 - 83*b**2 + 3. Let u(o) = 5*o**5 - o**4 - o**3 + 1. Let g(y) = c(y) - 3*u(y). Find the third derivative of g(m) wrt m.
2820*m**2 + 96*m
Let y be (4 + 226 - 0)*(-5)/(-10). Differentiate -118 - y + 222 + 31*n**2 with respect to n.
62*n
Let z be (210/35)/(2*1). Find the second derivative of -15*g**3 + 15*g**z - 100*g + 4 + 30*g**4 + 102*g wrt g.
360*g**2
Let g(i) be the second derivative of -1481*i**7/42 - 1142*i**3/3 + 2*i - 1817. What is the second derivative of g(y) wrt y?
-29620*y**3
Let s(x) be the first derivative of 505*x**4/4 + x**3/3 - 1085*x**2/2 - 2393. Find the second derivative of s(y) wrt y.
3030*y + 2
What is the second derivative of -205*d**2 - 1660*d**5 + 8*d**4 + 1659*d**5 - 418*d - 8*d**4 wrt d?
-20*d**3 - 410
Let z(y) be the third derivative of 187*y**6/20 - 622*y**3 - 6*y**2 - 64. What is the first derivative of z(d) wrt d?
3366*d**2
Let f(h) = 2*h**3 - 5*h**2 + 356*h + 1. Let o(k) = 2*k**2 + 2*k - 1. Let p(c) = -f(c) - 4*o(c). What is the second derivative of p(n) wrt n?
-12*n - 6
Suppose 2*v - c = 1565, v - 181 = -5*c + 596. Differentiate 38 + 865*y + 10 - v*y wrt y.
83
What is the second derivative of -730*i**2 + 589*i + 447*i - 509*i wrt i?
-1460
Suppose 665 = -n + 6*n + 5*z, -2*n + 5*z = -259. What is the third derivative of -24*d**4 + n*d**2 - 30*d**4 - 36*d**4 + 19*d**4 wrt d?
-1704*d
Let i(v) = -2353*v**3 + 6*v**2 - 12*v + 2087. Let a(n) = -4702*n**3 + 13*n**2 - 26*n + 4175. Let o(p) = -6*a(p) + 13*i(p). Differentiate o(x) with respect to x.
-7131*x**2
Let n be 996/18 + 1*(-2)/6. What is the derivative of 72 + 135 + 218*a - 20*a + n*a - 19*a wrt a?
234
Let s(w) = -3167*w**3 + 19*w**2 + 210. Let v(b) = 4749*b**3 - 29*b**2 - 315. Let r(z) = 8*s(z) + 5*v(z). What is the third derivative of r(f) wrt f?
-9546
Let g(w) be the second derivative of 3434*w**5/5 + 103*w**4/12 + 17*w**2 - 5953*w. Find the third derivative of g(n) wrt n.
82416
Let o = -646 - -650. Find the second derivative of -511*d + 522*d - 6*d**o + 317*d wrt d.
-72*d**2
Suppose -18*y + 16*y = -14. Let v(f) = -3*f**3 + f**2 - 1. Let t be v(-1). What is the third derivative of 0*l**3 + l**3 + l**t + y*l**3 - 7*l**2 wrt l?
54
Let g be -4*(9/12 + -1). Differentiate -2*y - 74*y**3 + g + 7 + 87*y**3 wrt y.
39*y**2 - 2
Let d(w) = -w**3 - 3*w**2 - 7*w + 23. Let t be d(-5). Differentiate 2563*h + t + 10 - 2524*h wrt h.
39
Let z(t) be the first derivative of -176*t**6 + 37*t**2/2 - 4*t - 810. Find the second derivative of z(p) wrt p.
-21120*p**3
Find the second derivative of 9*i**5 + 64 + 51 + 12*i**2 - 186 + 83*i + 58 wrt i.
180*i**3 + 24
Let o(p) be the third derivative of p**7/105 + 89*p**6/120 + 793*p**4/8 + 1652*p**2. Find the second derivative of o(c) wrt c.
24*c**2 + 534*c
Suppose 31 - 319 = -72*r. Let d(x) be the first derivative of 0*x**2 + 0*x - r*x**3 + 37/4*x**4 + 16. Find the third derivative of d(k) wrt k.
222
What is the derivative of -14*c + 17*c**3 + 6*c + 14*c**2 - 4*c**3 + 8*c - 2147 wrt c?
39*c**2 + 28*c
Find the second derivative of 15*k**5 - 44*k**4 - 84*k**4 - 5 - 2*k + 115*k**4 + k**3 wrt k.
300*k**3 - 156*k**2 + 6*k
What is the third derivative of 1556*d**2 - 1988*d**5 + 4791*d**5 - 1858*d**5 wrt d?
56700*d**2
Let u(f) = 183*f + 180. Let s(z) = 186*z + 181. Let y be ((-6)/(-3) - 10/4)*14. Let r(b) = y*u(b) + 6*s(b). Differentiate r(w) wrt w.
-165
What is the third derivative of -1 - 28*f + 1 + 28*f**2 - 10*f**2 + 0*f**4 + 12*f**4 + 11*f**5 wrt f?
660*f**2 + 288*f
Differentiate 70*i - 434*i**3 - 1194 - 73*i + 350*i**3 wrt i.
-252*i**2 - 3
Let v(o) = 3130*o**2 + 10839*o - 3. Let y(a) = 212*a**2 - 1. Let h(u) = v(u) - 3*y(u). What is the second derivative of h(t) wrt t?
4988
What is the third derivative of -235 + 473 + 1063*y**5 - 215 - 1071*y**5 + 6219*y**5 - 40*y**2 wrt y?
372660*y**2
Let v(s) = -s**3 + 3*s**2 + 2*s - 5. Let u be v(2). Differentiate u*c**3 + 47*c**4 - 3*c**3 - 1963 + 1905 with respect to c.
188*c**3
Let o(s) be the second derivative of -5593*s**6/30 - s**5/20 + 250*s**4/3 + 11822*s. What is the third derivative of o(i) wrt i?
-134232*i - 6
Let b(d) be the third derivative of -27*d**7/70 - 3*d**5/20 - 7*d**4/6 - 17*d**3/3 + 14*d**2 + 2. Find the second derivative of b(i) wrt i.
-972*i**2 - 18
What is the second derivative of -188*j**5 - 2*j - 1157*j**5 - 250 - 38 - 217 wrt j?
-26900*j**3
Let f(v) = 708*v**3 + v**2 - 5*v + 26. Let b(y) = -y**3 - y**2 - y + 1. Let p(k) = -5*b(k) + f(k). What is the third derivative of p(o) wrt o?
4278
Let p(m) = -17*m**4 + 2*m**3 + 58. Let y(z) = 34*z**4 - 4*z**3 - 115. Let h = 57 - 52. Let l(n) = h*p(n) + 3*y(n). Differentiate l(t) with respect to t.
68*t**3 - 6*t**2
Let m(k) = -4997*k**2 + 2869*k - 6. Let x(p) = 9995*p**2 - 5743*p + 13. Let y(i) = 13*m(i) + 6*x(i). What is the second derivative of y(n) wrt n?
-9982
Let c be 142/((-252)/45 - -6). What is the second derivative of 7986*g**3 - 15956*g**3 + c*g + 7915*g**3 wrt g?
-330*g
What is the third derivative of -5*q - 298*q**2 - 553*q**4 + 4*q + 23 + 292*q**2 + 4615*q**4 wrt q?
97488*q
Let r(q) = 5*q**2 - 140*q + 2. Let w be r(28). What is the derivative of -5 + 15*u**2 - 10 + 9 - 14 + w*u**3 wrt u?
6*u**2 + 30*u
Suppose 2*a + 8 - 12 = 0. Suppose -3*q = -5*j - 24, -q - 15 = -4*q + a*j. Find the second derivative of q*o - 11*o -