*u**3
Let p(s) be the third derivative of -1157*s**9/252 + 3*s**5/20 - 4*s**4/3 - 2*s**2 + 21*s. What is the third derivative of p(h) wrt h?
-277680*h**3
Let s(f) = f**2 - 9*f + 7. Let q be s(11). Let b = 29 - q. Find the second derivative of -2*i + i**2 - 15*i**2 + b*i + 3*i wrt i.
-28
Suppose -3*a + 4*y + 25 = 0, -2*y = 2*a - 0*y + 2. Suppose 21*w = -16*w + 111. Find the third derivative of -w*n**a + 93*n - 93*n + 3*n**2 wrt n.
-18
Let w(f) be the first derivative of -7*f**3 + 0*f**6 + 0*f + 39/7*f**7 - 18 + 0*f**2 + 0*f**5 + 0*f**4. What is the third derivative of w(z) wrt z?
4680*z**3
Let i(m) be the first derivative of -239*m**4/4 - m**2 + 1933*m + 422. What is the first derivative of i(h) wrt h?
-717*h**2 - 2
Find the third derivative of 5*q + 3986*q**2 + q - 6*q - 2321*q**2 - 1640*q**3 wrt q.
-9840
Suppose -2*o - 6 = -2*g, 0 = g + 3*o + 2*o + 3. What is the third derivative of 204*w**g - 70*w**2 - 3*w**3 - w - 87*w**2 + 3*w**5 wrt w?
180*w**2 - 18
Find the third derivative of -642*k**5 - 43 - 3763*k**2 + 43 - 15090*k**4 + 15093*k**4 wrt k.
-38520*k**2 + 72*k
Let m(c) be the second derivative of 92*c**6 - 524*c**3 - 27*c + 1. Find the second derivative of m(u) wrt u.
33120*u**2
Let i(p) = -181*p + 1675. Let w(o) = 181*o - 1674. Let r(a) = -6*i(a) - 5*w(a). Differentiate r(k) wrt k.
181
Differentiate -284*a + 44*a**3 + 282*a + 32*a**3 + 484 wrt a.
228*a**2 - 2
Let g = -2301 - -2308. Let z(c) be the second derivative of 0 + 0*c**3 + 0*c**4 - g*c**2 + 0*c**5 + 23/30*c**6 - 11*c. Differentiate z(i) with respect to i.
92*i**3
Let k(c) be the third derivative of 1097*c**9/504 - 7*c**5/15 - 8*c**3/3 + c**2 + c. What is the third derivative of k(m) wrt m?
131640*m**3
Suppose -7*z + 2*z + 12 = 4*j, 4*z - 3*j + 9 = 0. Suppose -18*b + 17*b + 36 = z. Find the first derivative of -6*c**4 + 36*c**3 - b*c**3 + 6 wrt c.
-24*c**3
Let f(a) be the second derivative of -76*a + 0*a**2 + 0 + 5/12*a**4 - 22/3*a**3. Find the second derivative of f(h) wrt h.
10
Suppose -4*x + 2*r = -259 + 23, 4*r = -2*x + 118. Differentiate -49*n - 47 + 14*n - 66 - x*n - 75*n wrt n.
-169
What is the third derivative of 2 + 312212*t**4 + t**2 - 312223*t**4 - 911*t - 5*t**3 + 3*t**3 wrt t?
-264*t - 12
Let n be 11/(363/138) + 2/(-11). Find the second derivative of 6*j**4 - 24*j**2 + 7*j**n + 16*j**2 - 57*j - 2 - 11*j**4 wrt j.
24*j**2 - 16
Let g(z) = z**3 - 15*z**2 + z - 18. Let x be g(15). Let k(t) = -27*t - 9. Let a be k(x). What is the derivative of -9 - 32*y**2 - 42*y**2 + a*y**2 wrt y?
-4*y
Suppose 67*l = 62*l + 183070. Find the third derivative of -36636*j**2 - 27*j**6 + l*j**2 - 2 + 1 wrt j.
-3240*j**3
Let g(j) be the first derivative of 51*j**4 - 9*j**2/2 - 2986*j + 2767. Differentiate g(z) wrt z.
612*z**2 - 9
Let b(u) = 8*u**4 - 3*u**3 + 26*u**2 - 6*u - 507. Let s(j) = 25*j**4 - 10*j**3 + 76*j**2 - 19*j - 1524. Let l(x) = 10*b(x) - 3*s(x). Differentiate l(m) wrt m.
20*m**3 + 64*m - 3
Let o = 606 + -598. Find the first derivative of -15 + o - 61*f + 24 + 47 + 41 wrt f.
-61
Differentiate -264*w**2 + 1051*w**2 + 3353 - 1846 - 1851 wrt w.
1574*w
Suppose 16*c = 20*c + 84. Let p = 1 - -2. Let i(x) = 3*x**2 + 1. Let g(d) = d**2. Let f(k) = c*g(k) + p*i(k). What is the first derivative of f(w) wrt w?
-24*w
Suppose a + 0*a - 2 = 2*f, -2*a + 5*f + 4 = 0. Find the third derivative of 850*g**a + 3*g + g**4 - 5*g**4 - 854*g**2 wrt g.
-96*g
Let g(o) = 3*o + 0 - 53*o - 1 + 4*o. Suppose 2*a + 70 = -8*a. Let l(v) = -31*v - 1. Let x(t) = a*l(t) + 5*g(t). Differentiate x(r) with respect to r.
-13
Let t be (-24 + 15)*(-3)/18*2. Find the second derivative of -14*f - 1 + 22*f + 4*f**3 - f**2 + 31*f**t - 5*f**3 wrt f.
180*f - 2
Let n(m) be the second derivative of -1004*m**6/15 + m**3/6 + 60*m**2 + 6*m + 221. What is the second derivative of n(o) wrt o?
-24096*o**2
Let z(w) be the first derivative of -23*w - 41 - 10*w - 6*w**2 - 5*w - 36. What is the first derivative of z(u) wrt u?
-12
Suppose -6*r = 15*r - 63. What is the derivative of 13*b**r - 68*b**3 + 37 + 33 - 8 wrt b?
-165*b**2
Differentiate -c - 18*c**2 + 2817 + 41*c**2 - 7*c - 8*c**2 + 16*c**4 - 11*c**2 wrt c.
64*c**3 + 8*c - 8
Let p be (2 - (-11)/(-5)) + (-1857)/15. Let y = p - -166. What is the second derivative of v**5 + 2*v**5 - y*v + 31*v**5 wrt v?
680*v**3
Suppose 7*h - 100 = 40. What is the derivative of 39*v + 115*v - h - 16*v - 143 wrt v?
138
What is the derivative of 118*h**2 + 776 + 15*h**4 + 6159 - 12*h**4 wrt h?
12*h**3 + 236*h
Let j(g) be the second derivative of 256*g**5/5 + g**3/3 - 1368*g**2 + 2098*g. Find the first derivative of j(p) wrt p.
3072*p**2 + 2
Let f(k) be the second derivative of -k**5/10 - 44*k**4/3 - k**3/2 - 4739*k**2/2 + 2*k + 242. What is the first derivative of f(s) wrt s?
-6*s**2 - 352*s - 3
Let k(l) be the second derivative of 16*l**7/7 + 7*l**5/20 + 523*l**4/3 - 2098*l. What is the third derivative of k(u) wrt u?
5760*u**2 + 42
Suppose 9*m - 1 = 89. Let a(w) = -w**3 + w - 1. Let b(c) = -22*c**3 - 52*c + 8. Let z(j) = m*a(j) + b(j). Find the second derivative of z(t) wrt t.
-192*t
Let v(x) be the third derivative of -x**7/35 + 39*x**4/8 + 11*x**3/3 + 475*x**2. Find the first derivative of v(b) wrt b.
-24*b**3 + 117
Let w(r) be the first derivative of r**2 + 23*r + 9. Let b be w(-5). What is the third derivative of -16*v**2 + 12*v - b*v**2 + 14*v**4 - 12*v wrt v?
336*v
Let a be -2 + 13 - (-7 + 10). Find the first derivative of -22*i - 213*i**2 + a*i + 14*i + 95 wrt i.
-426*i
Let l be ((-253)/(-92))/((-3)/(-12)). Differentiate -177 - l*b + 4*b - 24*b - 12*b with respect to b.
-43
Suppose 2*w + b = -2 + 17, 4*w = 4*b + 24. Let c be (1 + -22)/w*34/(-6). What is the second derivative of 44*h - 59*h - c*h**5 - 15*h**5 wrt h?
-640*h**3
Let l(h) = 837*h + 217. Let b(r) = -418*r - 108. Let j(w) = 11*b(w) + 6*l(w). Let q(f) = 143*f + 38. Let o(g) = 4*j(g) - 11*q(g). Differentiate o(t) wrt t.
123
Let v be (-2197)/(-39) - (-7)/(-3). Differentiate -14 + v + 210*d**2 - 433 + 88 with respect to d.
420*d
Let q = 831 + -829. Let o(j) = 2*j**2 + j. Let l be o(2). What is the third derivative of -l*i**5 + 12*i**2 - 19*i**5 - 21*i**q - 3*i**2 wrt i?
-1740*i**2
Suppose 3 = u + 1. Find the second derivative of 135*a - 44*a**u - 65*a + 4 - 4 wrt a.
-88
Suppose -24*j + 8*j - 672 = 0. Let t be (j/(-18))/(2/6). What is the second derivative of -13*u**4 - t*u - 4*u**4 - 11*u**4 wrt u?
-336*u**2
Find the first derivative of 2909*p - 1752 - 4803 + 827 + 1586*p wrt p.
4495
Let c(w) = -1906*w**3 + 33*w**2 - 2*w + 8. Let z(x) = -5*x**3 - x**2 + 2*x - 1. Let m(y) = c(y) + 2*z(y). Find the third derivative of m(o) wrt o.
-11496
Let l be (-3 + (0 - -4))/(1/118). What is the second derivative of l*b**4 - 23*b - 54*b**4 - 8*b**4 wrt b?
672*b**2
Suppose 10*h = -2 + 22. What is the third derivative of -22*r**6 + 28*r**h - 2*r + 75*r**6 + 2*r wrt r?
6360*r**3
Let l(r) = -13329*r**2 - 110. Let p(i) = 39985*i**2 + 330. Let m(u) = 14*l(u) + 5*p(u). What is the derivative of m(s) wrt s?
26638*s
Find the second derivative of 135*i + 2254 - 2*i**5 + 221*i**3 + 141*i - 412*i + 135*i wrt i.
-40*i**3 + 1326*i
Differentiate 2023 + 2596*c**2 + 1372*c**2 + 111*c + 270*c**2 - 111*c wrt c.
8476*c
Suppose 3*m = 4 - 13, -3*p + 30 = -3*m. Find the first derivative of -325 + 201 + p*y + 97*y wrt y.
104
Let p(z) be the second derivative of -7*z**3 + 62*z**2 + 15*z - 7. Let t(k) = 13*k - 41. Let f(g) = -3*p(g) - 10*t(g). Find the first derivative of f(w) wrt w.
-4
Let r(t) be the first derivative of 77*t**6/3 - t**4/4 + 70*t**2 - t - 1230. What is the second derivative of r(w) wrt w?
3080*w**3 - 6*w
Let y(b) = 203*b**2 + 8*b - 9. Suppose 4*w - 21*w = 102. Let o(p) = 68*p**2 + 3*p - 3. Let l(r) = w*y(r) + 17*o(r). What is the second derivative of l(a) wrt a?
-124
Differentiate -13*x**2 - 57*x**2 - 52*x**2 - 2084 + 76*x - 84*x**2 + 161*x**2 wrt x.
-90*x + 76
Let f(j) be the first derivative of 1097*j**4/2 + 524*j**3 + 2381. Find the third derivative of f(c) wrt c.
13164
Let k(g) = 57*g - 14. Let d(n) = 107 - 286*n - 50 + 12. Let x(c) = -2*d(c) - 11*k(c). What is the first derivative of x(z) wrt z?
-55
Let h be (-44)/(-12) + (-4)/6. Let c(p) = p**3 - 2*p**2 - p - 3. Let d be c(h). What is the derivative of 33 - 12 - 491*u**d + 460*u**3 wrt u?
-93*u**2
Find 