 k**5/20 - 67*k**3/2 + 5*k**2 - 23*k. What is the derivative of t(a) wrt a?
-330*a**2 + 6*a
Suppose 5*w = 4*d + 21, 3*w + 3*d = -2*d + 20. What is the derivative of 2 - 13 - 12*x - w + 0 wrt x?
-12
Suppose 7 = 2*w + 1. Suppose 5*u = 2*b + 15, -w*b + 2 = 3*u - 7. What is the third derivative of -f**2 - u*f**3 + 3*f**3 + f**6 + 6*f**6 wrt f?
840*f**3
What is the derivative of -77*w**2 + 49*w**2 - 92*w**2 + 65 wrt w?
-240*w
Let b(o) be the third derivative of 0*o + 0*o**5 + 0 - 20*o**2 + 1/3*o**3 + 0*o**4 + 1/60*o**6. Differentiate b(l) with respect to l.
6*l**2
Let v(g) be the second derivative of -21*g**5/20 + g**3/6 - 27*g**2/2 - 159*g. What is the second derivative of v(n) wrt n?
-126*n
Suppose 3*s + 14 = d, -4*d + 5*s = -8 - 20. Let w(b) be the first derivative of 7 - 11/3*b**3 + 0*b**d - 5*b. What is the first derivative of w(r) wrt r?
-22*r
Suppose -3*k + 5*u + 5 = 24, 0 = 3*k - 2*u + 4. Suppose -25 = 5*a, -k*a - 1 = 2*f + f. Find the third derivative of 0*d**f - 3*d**2 + d**2 + 5*d**3 wrt d.
30
Let l(h) = -2*h - 14. Let g(z) = z**2 + 16*z + 6. Let m be g(-15). Let t be l(m). What is the derivative of t*w - w + 7*w + 7 - 2*w wrt w?
8
Let v(h) = 857*h**3 - 10*h**2 + 1863*h + 10. Let n(c) = 428*c**3 - 6*c**2 + 932*c + 6. Let r(f) = 5*n(f) - 3*v(f). What is the second derivative of r(y) wrt y?
-2586*y
Let d(c) = c**2 + 3. Let v be d(0). Find the first derivative of -7*l**v + 0 - 4 + 4 - 1 wrt l.
-21*l**2
Let d be (-16)/(-4) - (-15 + 4). Let v(j) = -j. Let h be v(0). Find the first derivative of -8 + h - 3*n**3 + d wrt n.
-9*n**2
Let p(t) = 180*t + 216. Let f(w) = -90*w - 110. Let s(c) = -7*f(c) - 4*p(c). Differentiate s(q) with respect to q.
-90
Let r = -485 + 494. Let w(k) be the first derivative of -r*k - 1 - 9/2*k**2. What is the derivative of w(a) wrt a?
-9
Let k = -241 + 244. Suppose -c = -p + 1, -c - 4*c = 5*p - 35. What is the second derivative of -2*y - 20*y**k + 0*y + 26*y**c wrt y?
36*y
Let w(h) be the third derivative of 23*h**7/210 - h**6/60 - h**3/6 - 32*h**2 - 2. What is the derivative of w(y) wrt y?
92*y**3 - 6*y**2
Suppose 2*k = 2*a - 2, 2*a - 1 = 5*k - 5. Let h be 21/42*(3 + 1). Find the third derivative of 20*l**2 - 2*l**5 - 28*l**k + 14*l**h wrt l.
-120*l**2
Let n(m) = -2*m**2 + m - 1. Let d(c) = -49*c**2 + 6*c + 7. Let g(r) = -d(r) - 4*n(r). Find the second derivative of g(v) wrt v.
114
Let a = 28 + -31. Let t(x) = 5*x - 2. Let f(b) = b. Let p(s) = a*t(s) + 12*f(s). What is the derivative of p(r) wrt r?
-3
Let n(t) be the second derivative of 15*t**4/8 + 2*t**3 + 23*t**2 - 18*t. Let d(h) be the first derivative of n(h). Find the first derivative of d(b) wrt b.
45
What is the third derivative of -16*i**4 - 121*i**2 + 68*i**2 - 13*i**4 + 2*i**5 + 116*i**2 wrt i?
120*i**2 - 696*i
Let h(j) be the first derivative of 5*j**8/112 - 3*j**4/8 + j**2/2 + 3. Let l(u) be the second derivative of h(u). What is the second derivative of l(p) wrt p?
300*p**3
Let j(i) = i - 3. Let p(x) = -113*x**2 - 120*x + 15. Let o(w) = -5*j(w) - p(w). What is the second derivative of o(v) wrt v?
226
Let w(q) = q + 1. Let s be w(3). Suppose -3*m = -4*o - 10, -3*o + 4 = s*m + o. Find the second derivative of j**2 - 7*j**2 - 4*j + m*j**2 wrt j.
-8
Let s be (-18)/45 - 83/5. Let l = -12 - s. What is the second derivative of -l*k**4 + 8*k + 3*k**4 - 18*k wrt k?
-24*k**2
Let v(d) be the first derivative of -8*d**3 + 2*d**2 - 10*d + 79. Find the second derivative of v(p) wrt p.
-48
Let f = 4 - 2. Suppose 12 = 3*w - 3*q, -5*q + 4 = -f*w + 5*w. Find the third derivative of -4*s**w + 0*s**3 + 6*s**2 - 2*s**2 + 3*s**2 wrt s.
-24
Suppose 12*z = -19*z. Let p(f) be the first derivative of z*f**4 + 0*f - 3 + 0*f**3 + 3/5*f**5 - 4*f**2. What is the second derivative of p(t) wrt t?
36*t**2
Let h(t) = -2*t**2 + t - 2. Let v(a) = -91*a**3 - 7*a**2 + 3*a - 4. Let j(i) = -3*h(i) + v(i). Find the third derivative of j(x) wrt x.
-546
Suppose 0 = 4*d - 134 - 34. Differentiate -d - 2834*y - 35*y**3 + 2834*y with respect to y.
-105*y**2
Let n(s) be the first derivative of 0*s**2 + 1 + 0*s - 13/3*s**3 + 0*s**5 + 13/3*s**6 + 0*s**4. What is the third derivative of n(u) wrt u?
1560*u**2
Let c(y) = -1319*y**4 - 5*y**3 + 5*y + 334. Let q(b) = -3297*b**4 - 13*b**3 + 13*b + 835. Let f(w) = 13*c(w) - 5*q(w). Find the first derivative of f(x) wrt x.
-2648*x**3
Let n(j) = 16*j**3 - 23*j + 7. Let x = 22 + -20. Let t(i) = -5*i**3 + 8*i - 2. Let z(d) = x*n(d) + 7*t(d). What is the second derivative of z(b) wrt b?
-18*b
Let w(o) be the third derivative of -27*o**2 + 0*o**6 - 1/30*o**7 + 0*o**3 + 0*o - 13/24*o**4 + 0*o**5 + 0. What is the second derivative of w(c) wrt c?
-84*c**2
Let l = -232 + 234. Let u(n) be the first derivative of 1/2*n**l + 5*n + 1. Differentiate u(p) with respect to p.
1
What is the third derivative of -9*h**2 - 13*h**2 - 12*h**5 + 45*h**4 - 15*h**5 + 28*h**5 wrt h?
60*h**2 + 1080*h
Suppose -8 = -15*b + 13*b. Differentiate 4 - 6*p**4 + 3*p**b + 4 + 0*p**4 with respect to p.
-12*p**3
Suppose -4*n = -4472 - 1000. Find the third derivative of 24*a**2 - 1368 + n + 43*a**6 wrt a.
5160*a**3
Let n(x) = -261*x**3 - 6*x**2 + 405*x. Let t(p) = 3*p**3 - 2*p**2 - p. Let z(u) = -n(u) + 3*t(u). What is the second derivative of z(c) wrt c?
1620*c
Find the second derivative of 144*p**2 + 3*p + 42 + 36 + 28 - 92 wrt p.
288
Let o(q) = 30*q**3 + 3*q**2 - 15. Let d(n) = n**3 + n + 1. Let h(t) = t**2 + t + 1. Let y(u) = d(u) - h(u). Let r(v) = o(v) + 3*y(v). Differentiate r(i) wrt i.
99*i**2
Let l(a) = -3*a + 6. Let x be l(4). Let c(h) = -4*h + 19. Let j(i) = -i + 1. Let y(z) = x*j(z) + c(z). What is the derivative of y(w) wrt w?
2
Let p(f) be the first derivative of f**5/60 - f**4/3 - f**2/2 + 9. Let y(n) be the second derivative of p(n). What is the second derivative of y(z) wrt z?
2
Let f(t) be the first derivative of -t**6/6 + 8*t**3/3 - 3*t**2 - 120. What is the second derivative of f(v) wrt v?
-20*v**3 + 16
Suppose 0 = j + 2*v - 2, -4*j + 5*v = v - 20. Find the third derivative of -3*f**2 + 9*f**4 + 9*f**j - 22*f**4 wrt f.
-96*f
What is the third derivative of 14*v - 8 - 2*v**2 + 43*v**3 + 8 + v**2 wrt v?
258
Let q(x) = -x**3 - 3*x**2 + 10*x + 5. Let h be q(-6). What is the second derivative of -56*i + h*i**2 - 65*i**2 + 16*i wrt i?
-24
Suppose 3*o = -o + 16. Suppose -8*v + 3*v + 35 = 0. Find the second derivative of -3*i + v*i + 4*i**o + i wrt i.
48*i**2
Let c(h) be the third derivative of 5*h**7/42 + h**6/40 - h**5/15 + h**3/6 - 19*h**2. Find the third derivative of c(w) wrt w.
600*w + 18
What is the first derivative of -5*m**2 + 93 - 4*m**4 + 0 + 6*m**2 wrt m?
-16*m**3 + 2*m
Let m(u) be the second derivative of 7*u**6/30 - u**5/5 - u**4/3 + 27*u + 2. Find the third derivative of m(w) wrt w.
168*w - 24
Let d = 1 + 2. Suppose 5*w + d*j = 8, 7*j - 4*j = 4*w - 28. What is the second derivative of 5*p**w + 6*p + p - 2*p + 6*p**4 wrt p?
132*p**2
Let c(k) be the third derivative of k**8/336 - 7*k**6/12 + 69*k**5/20 + k**3/3 - 3*k**2 - 15*k. Find the third derivative of c(z) wrt z.
60*z**2 - 420
Let c(u) be the third derivative of -17*u**5/60 - u**4/12 + 343*u**3/6 + 164*u**2. What is the first derivative of c(a) wrt a?
-34*a - 2
Suppose 5*l + 18 = 11*l. What is the second derivative of g**5 - 21*g + l*g**4 - 3*g**4 + 8*g wrt g?
20*g**3
Let h(n) = n**2 - 3*n - 3. Let q be h(-2). Find the second derivative of -q + 13*u + 5 + 2 - 7*u**5 wrt u.
-140*u**3
Let h(s) = -273*s**2 - 259*s - 6. Let g(b) = -273*b**2 - 259*b - 7. Let r(p) = -6*g(p) + 7*h(p). What is the second derivative of r(u) wrt u?
-546
Let j(o) = o**5 - o - 1. Let c(s) = -36*s**5 - 97*s**2 - 9*s - 9. Let k(p) = 4*c(p) - 36*j(p). What is the third derivative of k(u) wrt u?
-10800*u**2
Let q(k) = 29*k**4 - 5*k**3 - 573*k. Let j(v) = 29*v**4 - 4*v**3 - 575*v. Let a(l) = -5*j(l) + 4*q(l). Find the second derivative of a(p) wrt p.
-348*p**2
Let z = 10 + -5. What is the derivative of -32 - z*l + 14 - 7*l + 7 wrt l?
-12
Let q = 33 + -31. Suppose 22 = -q*z + 3*z. Find the second derivative of 9*w**2 + z - 22 + 2*w wrt w.
18
Let z be 2 - -9 - (6 - 3). Differentiate 5 + 3 + 2 + z*m**4 wrt m.
32*m**3
Let b(q) = -20*q**3 + 2*q**2 - 6*q - 4. Let f(y) = -20*y**3 + 3*y**2 - 8*y - 3. Let z(t) = 4*b(t) - 3*f(t). Find the third derivative of z(