Let f(b) be the third derivative of -587*b**7/210 - 785*b**3/6 + 452*b**2. What is the first derivative of f(t) wrt t?
-2348*t**3
What is the third derivative of -41*s**5 - 2*s**3 + 3*s**3 + 2*s**2 - 4*s**5 + 15 - 3*s**3 wrt s?
-2700*s**2 - 12
Let t(q) be the first derivative of -29*q**3/3 + 283*q - 375. Find the first derivative of t(i) wrt i.
-58*i
Let m(k) be the third derivative of k**6/30 - k**5/10 - 17*k**4/24 + 64*k**2. What is the second derivative of m(t) wrt t?
24*t - 12
Let d(r) be the third derivative of -5*r**7/504 - r**5/4 - 11*r**4/8 - 33*r**2. Let z(a) be the second derivative of d(a). Differentiate z(y) with respect to y.
-50*y
Suppose 2*y = -5*x, 0 = -x - 4*y - 21 + 3. Suppose -k + 4 - x = 0. Find the second derivative of h - k*h**2 - 2*h + 4*h wrt h.
-4
What is the third derivative of 826*m**2 + 11280*m + 143*m**3 - 11280*m - 300*m**2 wrt m?
858
What is the first derivative of 623 + 581 - 2182 + 192*n wrt n?
192
Find the second derivative of 477 + 219*v**2 + 2*v - 551 + 263*v**2 wrt v.
964
Let a be (1 - 6)/(11/(-11)). Let w(f) = -17*f + 36. Let q(x) = -35*x + 71. Let i(d) = a*w(d) - 3*q(d). What is the derivative of i(z) wrt z?
20
Suppose 0 = -f + 4*n - 2 + 3, -3*n = 0. Let w(g) be the first derivative of -2*g**2 + 0*g**3 + 0*g + f + 1/4*g**4. What is the second derivative of w(s) wrt s?
6*s
Find the third derivative of 30*a**2 + 113*a**2 + 124*a**3 - 26*a**2 wrt a.
744
Let r be (-42)/35*(-15)/2. Find the first derivative of -1 + 8 + 4*b**4 + r wrt b.
16*b**3
Let v = -15 - -22. Suppose -1 = 3*y - v. What is the second derivative of 36*c**2 - 36*c**y - 4*c**5 - 2*c wrt c?
-80*c**3
Let f(n) = 589*n**3 + 17*n**2 + 20*n - 393. Let t(g) = -196*g**3 - 6*g**2 - 7*g + 131. Let b(s) = 6*f(s) + 17*t(s). What is the first derivative of b(q) wrt q?
606*q**2 + 1
Let z(u) be the third derivative of 0*u**4 - 2*u**3 + 0 - 4*u**2 + 0*u - 1/5*u**5. Differentiate z(w) wrt w.
-24*w
Let a be 22/8 - -1 - (-130)/520. What is the second derivative of 51*w**4 + 2 + 12*w**4 - 8*w**a + 5*w wrt w?
660*w**2
Suppose 0 = -5*a - q + 24, 5*a = -5*q - 13 + 33. Find the second derivative of -66*f + 16*f**a + 36*f - f**5 wrt f.
300*f**3
Let x(i) be the first derivative of 21*i**4/4 + i**3/3 - 101*i**2 - 122. Find the second derivative of x(f) wrt f.
126*f + 2
What is the third derivative of 85 + 177*w**4 + 18*w**5 + 171*w**4 - 2*w**2 - 16*w**5 wrt w?
120*w**2 + 8352*w
Let b be 301/21 - (-2)/3. Differentiate 5*s + 18 - 53 + b + 9 wrt s.
5
Let v(a) be the first derivative of -23/4*a**4 + 34*a + 0*a**2 - 24 + 0*a**3. Find the first derivative of v(s) wrt s.
-69*s**2
Suppose 4*v - 6 = -2*p, -5*p - 3*v = -0*p - 8. Suppose 7 - p = 3*z. What is the third derivative of -26*c**5 + 2*c**6 + 26*c**5 + 9*c**z - 4*c**2 wrt c?
240*c**3
Let j(u) = -35*u - 22. Let g be j(-2). Differentiate 0*w + 11*w**4 - 27 + 0*w + g*w**4 wrt w.
236*w**3
Suppose -5*m = -80 - 25. Differentiate -m - 5*c + 3 + 0*c wrt c.
-5
Let m(y) be the first derivative of y**6/40 - 3*y**4/8 - 11*y**2/2 - 11. Let g(k) be the second derivative of m(k). What is the second derivative of g(c) wrt c?
18*c
Let d(q) be the third derivative of -16*q**7/105 + q**6/24 - q**4/12 - 11*q**3/6 + 5*q**2. What is the second derivative of d(r) wrt r?
-384*r**2 + 30*r
Let b(r) = 11*r**4 + 271*r**3 - 868*r - 8. Let z(q) = 7*q**4 + 181*q**3 - 579*q - 5. Let m(s) = 5*b(s) - 8*z(s). Find the second derivative of m(w) wrt w.
-12*w**2 - 558*w
Let u(w) be the first derivative of -w**5/5 + 114*w**2 + 516*w + 470. What is the first derivative of u(t) wrt t?
-4*t**3 + 228
Let y(z) = -21*z**2 - 5*z + 75. Let b(c) = -942 + 8*c + 830 - 6*c**2 + 38*c**2. Let x(v) = 5*b(v) + 8*y(v). Find the first derivative of x(i) wrt i.
-16*i
Let j(r) be the third derivative of 1/30*r**5 + 0*r - 19/6*r**3 + 10*r**2 + 0 + 0*r**4. What is the derivative of j(u) wrt u?
4*u
Let z(n) be the third derivative of n**5/60 + n**4/6 + n**3 - 8*n**2. Let q be z(-4). Find the second derivative of 12*a + 6*a**5 + q*a**5 - 24*a wrt a.
240*a**3
Let w = 4 + -1. Suppose 3*r - l = 9, -4*r - 4 = 3*l + l. What is the third derivative of -t**4 - 6*t**r + 4*t**3 - 4*t**w + 4*t**2 wrt t?
-24*t
Let i(v) be the second derivative of -5*v**6/3 - 31*v**3/2 - 44*v. Find the second derivative of i(u) wrt u.
-600*u**2
Let a be (-2)/(-7) + 90/(-21). Let q be a/(-10) + (-84)/(-15). What is the second derivative of -q*c - 6*c**2 + 2*c**2 - 5*c**2 wrt c?
-18
Let r(h) = h**2 + 9*h + 8. Let n be r(-9). Suppose 11*o - 1023 = n*o. Find the second derivative of -o + 9*v**3 - v + 341 wrt v.
54*v
What is the first derivative of -13 + 16 + 16 + 333*b - 285*b wrt b?
48
Let u be (-3 - -2)/(2/(-14)). Find the first derivative of -8 - 68*d - 20 + u + 19*d wrt d.
-49
Let j(t) = t**3 + t**2 - t. Let m(n) = 95*n**3 - 2*n**2 + 56*n. Let c(a) = j(a) + m(a). What is the third derivative of c(f) wrt f?
576
Let i(v) = -7*v**3 + 13. Let p(z) = 3*z**3 - z**2 - 7. Let k(f) = 4*i(f) + 7*p(f). Find the third derivative of k(m) wrt m.
-42
Let t(b) = -7*b**2 + 10*b - 6 - 7 + 6*b**2. Let i be t(8). Differentiate -3*v**i + 2*v**3 - 2*v**3 - 1 - v**3 with respect to v.
-12*v**2
What is the derivative of -8*m**4 - 21246 + 21418 + 201*m**4 wrt m?
772*m**3
Let i(w) = -4*w**3 + w**2. Suppose -s - v - 1 = 0, -3*s - 2*v + 2 = -5*s. Let p be i(s). Differentiate -5*u**4 - p + 2 + 5 wrt u.
-20*u**3
Differentiate 96 - 20 - 191*z + 103 wrt z.
-191
Suppose j = 13 - 9. What is the second derivative of 97*v**4 + 94*v**j - 165*v**4 - 34*v wrt v?
312*v**2
Let n(r) = 20*r**4 + 3*r**2 - 3*r + 150. Let q(p) = -39*p**4 - 7*p**2 + 5*p - 300. Let g(d) = 5*n(d) + 3*q(d). What is the derivative of g(v) wrt v?
-68*v**3 - 12*v
What is the third derivative of -2670*k + 2670*k + 3*k**4 + 33*k**2 - 3*k**4 - 1 - 2*k**6 + 89*k**5 wrt k?
-240*k**3 + 5340*k**2
Find the third derivative of -27*l**2 + 263*l**3 - 250*l**2 + 147*l**2 - 225*l**2 wrt l.
1578
Suppose 4*t = -t + 90. What is the derivative of -30 - 8 + 9 - 2*u - t*u wrt u?
-20
Let x be ((-24)/(-3))/(-4) - -4. Find the second derivative of -r + 6 - 2 - 4 + 5*r**x wrt r.
10
Let p(j) be the third derivative of -j**6/15 + 3*j**5/20 - 131*j**3/2 - 3*j**2 - 52*j. What is the derivative of p(b) wrt b?
-24*b**2 + 18*b
Let n(d) = 232*d**3 + 6*d + 54. Let j(p) = -464*p**3 - 11*p - 107. Let u(m) = -4*j(m) - 7*n(m). What is the second derivative of u(x) wrt x?
1392*x
Suppose 2*x + 2 = -k, k + 2*k + 2*x - 2 = 0. Let m(w) = 3*w - 15. Let i be m(6). Differentiate 1 - k - 3 - s + i with respect to s.
-1
Let f(r) be the first derivative of -4*r**5/5 + 3*r**4/2 - 2*r**3/3 - 154*r - 355. Find the third derivative of f(h) wrt h.
-96*h + 36
Let h(a) = 4*a - 12. Let c be h(4). What is the derivative of -c*b + 0*b - b - 5*b + 7 wrt b?
-10
Let z(o) be the second derivative of -31*o**9/15120 - o**5/12 - 7*o**4/3 + 23*o. Let f(a) be the third derivative of z(a). Differentiate f(r) with respect to r.
-124*r**3
Let u be (6/5)/(-3)*(1 - 6). What is the third derivative of 13*r**2 - u*r**3 + 17*r**4 + 4*r**3 - 2*r**3 wrt r?
408*r
Let y(f) = 59*f - 428. Let b(x) = -30*x + 215. Let g(s) = 5*b(s) + 3*y(s). What is the first derivative of g(d) wrt d?
27
Suppose 0 = -2*f + 3*f + 4. Let t be 3/(-2*f/8). What is the third derivative of 17*o - 3*o**t - 17*o + 5*o**2 wrt o?
-18
Let k(y) be the first derivative of 508*y**5/5 - 172*y**3 - 662. What is the third derivative of k(l) wrt l?
12192*l
Let c be (-87)/(-27) + 2/(-9). Let x = 123 - 112. What is the first derivative of -8 + 12 - x*s**3 + c*s**3 wrt s?
-24*s**2
Find the third derivative of -r**2 + 57 - 233*r**3 + 957*r**5 + 223*r**3 - 930*r**5 wrt r.
1620*r**2 - 60
Let p(r) be the second derivative of 27*r**5/5 - 45*r**4/4 + 61*r. Find the third derivative of p(v) wrt v.
648
Let h(g) be the first derivative of 0*g**2 - 5/4*g**4 + 6 + 0*g**3 + 2*g. What is the derivative of h(f) wrt f?
-15*f**2
Let k(c) be the first derivative of -7*c**5/5 - c**4/12 - c**3/2 - 11*c + 16. Let f(m) be the first derivative of k(m). Find the third derivative of f(z) wrt z.
-168
What is the second derivative of 2 + 40407*d + 2 + 267*d**5 - 40440*d wrt d?
5340*d**3
What is the third derivative of -87*c**3 + 138*c**3 + 48*c**3 + 162*c**3 + 137*c**2 wrt c?
1566
Let h(r) be the third derivative of 0*