v. Let r = 10 + -8. What is the derivative of v*t - 10*t**r + 0*t + 6 + 12*t**2 wrt t?
4*t
Let i = -6 - -12. What is the third derivative of 2*k**2 - 11*k**2 - 8*k**2 + 9*k**i - 21*k**2 wrt k?
1080*k**3
Let b(x) be the third derivative of 0 + 0*x**6 + 0*x**5 - 9*x**2 + 3*x**3 - 2/105*x**7 + 0*x**4 + 0*x. What is the first derivative of b(k) wrt k?
-16*k**3
Let v(l) be the first derivative of 107*l**6/6 + l**3 + 185*l**2 - 34. What is the second derivative of v(n) wrt n?
2140*n**3 + 6
Let m be (-126)/(-49)*(10 - 3). What is the third derivative of m*b**2 + 8*b**2 - 34*b**2 + 19*b**3 wrt b?
114
Differentiate -436 - 1600*r + 1598*r + 289*r**2 - 70*r**2 wrt r.
438*r - 2
Find the second derivative of 19*l**4 - 11*l**4 - 91*l - 5*l**4 wrt l.
36*l**2
Find the third derivative of 0*g - 5 + 30*g**4 - 4*g**2 + 0*g - 1999*g**6 + 1997*g**6 wrt g.
-240*g**3 + 720*g
Let q(c) = -2*c**3 - 12*c**2 + 12. Let f be q(-6). Differentiate 3 - 28*m - 9 + f*m + m**3 wrt m.
3*m**2 - 16
Let y(x) be the second derivative of x**6/72 + x**5/6 + 5*x**4/2 - 23*x. Let u(m) be the third derivative of y(m). What is the first derivative of u(w) wrt w?
10
What is the second derivative of -22*s - 7*s + 77*s**2 + 12*s - 14*s wrt s?
154
Let j(v) = 98*v**2 + 3*v - 520. Let l(t) = -50*t**2 - t + 261. Let n(q) = -2*j(q) - 5*l(q). Differentiate n(z) wrt z.
108*z - 1
Let d(v) = -v**3 + 6*v**2 + 3*v - 14. Let x be d(6). What is the third derivative of 406*b**2 + 4*b**x + b**4 - 398*b**2 wrt b?
120*b
Let y(q) be the second derivative of 0 + 0*q**5 + 5/42*q**7 + 10*q + 0*q**2 + 0*q**3 - 7/6*q**4 + 0*q**6. What is the third derivative of y(v) wrt v?
300*v**2
Let j = 27 + -21. What is the third derivative of 5*r**6 - 11*r**2 + 0*r**6 + 6*r**j wrt r?
1320*r**3
Let t(g) be the first derivative of -g**4/2 - 67*g**3/3 + 102*g - 101. Differentiate t(p) wrt p.
-6*p**2 - 134*p
Let f(i) be the third derivative of -31*i**6/30 - i**4/12 - i**3/3 - 101*i**2 - 2. What is the second derivative of f(z) wrt z?
-744*z
Let w(z) = 6*z**4 - 5*z**3 - 5*z - 163. Let i(p) = -3*p**4 + 2*p**3 + 2*p**2 + 2*p + 82. Let x(a) = -5*i(a) - 2*w(a). Differentiate x(q) with respect to q.
12*q**3 - 20*q
Let s be (5/2 + -1)*2. Suppose 1 + s = 2*b, 2*l = 4*b. Differentiate -3 + 2*v**l - 4*v**4 + 1 + 0*v**4 with respect to v.
-8*v**3
What is the second derivative of 56*b**2 + 5*b + 42*b + 19*b wrt b?
112
Let n(w) = -23*w**2 + 4 + 18*w**2 - 1 + 7*w. Let d(c) = -6*c**2 + 6*c + 4. Let u(i) = -3*d(i) + 4*n(i). What is the second derivative of u(l) wrt l?
-4
Let o(x) = x + 2. Let i be o(6). Let d(n) = 2 + 20*n**3 + 24 - 6. Let h(r) = 13*r**3 + 13. Let y(a) = i*h(a) - 5*d(a). Differentiate y(f) with respect to f.
12*f**2
Let j(p) be the third derivative of -34*p**7/105 - p**5/20 + 47*p**4/24 + 5*p**2 + 18. What is the third derivative of j(h) wrt h?
-1632*h
Let g be 0 - -2 - (-1 - 0/2). What is the derivative of 1 - 3*r**3 + 0*r**g - r**3 + 13 wrt r?
-12*r**2
Let n = 3 + 2. Suppose -5*r + 0*f + 3*f + 8 = 0, -r = -n*f + 16. Find the first derivative of 4*t**4 - 6 - 10*t**r - 7*t**4 wrt t.
-52*t**3
Let y(q) be the third derivative of 23*q**4/4 - 127*q**3/6 - 7*q**2 - 16*q. Find the first derivative of y(f) wrt f.
138
Let a(k) = -14*k - 13. Let h(n) = n + 1. Let c(u) = u**2 - 11*u + 9. Let i be c(10). Let v(f) = i*a(f) - 4*h(f). What is the first derivative of v(d) wrt d?
10
Let d = 23 - 15. What is the second derivative of 11*c - 6*c + 0*c + d*c + 11*c**2 wrt c?
22
Let i = -43 + 49. Let m(z) = 20*z**2 + 3*z - 6. Let k(h) = h**2 + h - 1. Let w(j) = i*k(j) - m(j). Find the second derivative of w(c) wrt c.
-28
Let k(l) be the third derivative of 31*l**9/126 + 3*l**5/10 - 13*l**4/24 + 6*l**2 - 20*l. What is the third derivative of k(z) wrt z?
14880*z**3
Let w(u) be the first derivative of 459*u**4/4 - 15*u**2/2 + 18*u - 525. Find the second derivative of w(x) wrt x.
2754*x
Find the second derivative of 5*v**4 + 20 - 73*v + 12 - 133*v**3 + 18 - 47 - 4*v**4 wrt v.
12*v**2 - 798*v
Let d(o) be the second derivative of 0 + 7/3*o**4 - 35*o + 0*o**3 + 0*o**6 - 1/7*o**8 + 0*o**7 + 0*o**2 + 0*o**5. What is the third derivative of d(t) wrt t?
-960*t**3
Let i(r) be the third derivative of -247*r**9/504 + 4*r**5/5 - 54*r**2. Find the third derivative of i(g) wrt g.
-29640*g**3
Suppose 9*m - 18 = -0*m. What is the first derivative of 5*i**2 - 18 - 2 + 9*i**m - 2*i**2 wrt i?
24*i
Let z(a) be the third derivative of 157*a**5/30 + 17*a**3/2 + a**2 + 191. Differentiate z(y) wrt y.
628*y
Let k(o) = o - 1. Let c(z) = -20*z - 4 + 0 - 2 + 1. Let w(j) = -c(j) - 4*k(j). What is the first derivative of w(y) wrt y?
16
Let g(h) be the third derivative of 2*h**7/105 + 7*h**5/60 + 52*h**3/3 - 9*h**2. Differentiate g(x) wrt x.
16*x**3 + 14*x
Let m(b) = -b**2 + 6*b - 5. Let z be m(3). Find the first derivative of -74 - z*y**3 - 3*y**3 + 69 wrt y.
-21*y**2
Suppose -9*u + 3*u + 84 = 0. What is the derivative of u - 20*j + 16*j**3 + 20*j wrt j?
48*j**2
What is the third derivative of -7*t**4 + 346*t**3 + 12*t**4 - t**2 - 3*t**4 - 188*t**3 wrt t?
48*t + 948
Let i = 42 + 10. What is the first derivative of i*q**2 + 8*q**4 - 3 - 105*q**2 + 53*q**2 wrt q?
32*q**3
Suppose -16*j + 1 = -127. Let r(h) be the third derivative of -3/8*h**4 + j*h**2 + 0*h + 0 - 1/3*h**3. Differentiate r(y) with respect to y.
-9
Let k(l) be the third derivative of -l**3/6 - 12*l**2. Let c(d) = 2*d**2 + 9. Let z(o) = c(o) - 2*k(o). Find the first derivative of z(w) wrt w.
4*w
Let u(a) be the second derivative of 0 + 1/3*a**3 + 7*a**2 - 11*a. Differentiate u(r) wrt r.
2
Let m(d) = d**2 - 5*d + 6. Let w be m(4). Suppose -4*o = -3*s - 27, 30 = 5*o - s - w*s. Find the second derivative of 3*t**5 + o*t**5 + 6*t + 0*t**5 wrt t.
120*t**3
Let g(c) be the second derivative of c**6/15 - 419*c**5/20 + 212*c**3/3 - 869*c. What is the second derivative of g(a) wrt a?
24*a**2 - 2514*a
Let l(z) be the first derivative of -1/2*z**2 - 1 + 7*z. Differentiate l(a) with respect to a.
-1
Differentiate 12*s**3 - 8*s**3 + 226 + 19*s**2 - 26*s**2 wrt s.
12*s**2 - 14*s
Let p(n) be the first derivative of 2*n**6/15 + 11*n**5/30 - 41*n**2/2 + 29. Let t(c) be the second derivative of p(c). Find the third derivative of t(k) wrt k.
96
What is the derivative of 54*q**2 + 120*q**2 - 829*q**2 + 2*q - 2*q + 383 wrt q?
-1310*q
Let u(v) be the third derivative of -v**7/210 - v**4/8 + 11*v**3/6 - 10*v**2. Let d(t) be the first derivative of u(t). Differentiate d(g) wrt g.
-12*g**2
Let z = -6 + 12. Suppose -z*h + h = -10. Find the first derivative of 17 + 2*t**2 + 2*t**h - 10 wrt t.
8*t
Let l(i) be the third derivative of -i**8/12 + i**6/60 - 9*i**5/2 + 142*i**2 + i. Find the third derivative of l(b) wrt b.
-1680*b**2 + 12
Let t(x) be the second derivative of -59*x**4/12 - 37*x**3/3 - 7*x - 5. What is the second derivative of t(b) wrt b?
-118
Let w be 4/22 - 371/(-77). Find the third derivative of -6*a**5 + 10*a**w - 4*a**5 + 13*a**6 - 9*a**2 wrt a.
1560*a**3
Let j(o) be the first derivative of -125*o**6/3 - 185*o**3/3 + 366. What is the third derivative of j(f) wrt f?
-15000*f**2
Let x(q) = 12*q**2 - 2*q + 10*q - 3*q - 3*q**3. Let m(a) = -4*a**3 + 12*a**2 + 6*a. Let s(l) = -5*m(l) + 6*x(l). Find the third derivative of s(g) wrt g.
12
Let x(k) be the second derivative of k**5/20 + 13*k**4 + 2*k**3/3 + 67*k**2/2 - 3*k + 34. What is the second derivative of x(j) wrt j?
6*j + 312
Let o = 61 + -29. Differentiate -21 + o + 3*c + 10*c with respect to c.
13
Let m(j) be the second derivative of j**6/5 + j**5/20 - 85*j**2/2 + 116*j. Find the first derivative of m(w) wrt w.
24*w**3 + 3*w**2
Let u(k) be the second derivative of 45*k**7/14 + k**4/6 - 203*k**2/2 + 245*k. What is the third derivative of u(z) wrt z?
8100*z**2
Suppose -7 = -0*l - 7*l. What is the second derivative of r + 1223*r**2 - l - 1247*r**2 - 32 wrt r?
-48
Let g(m) be the first derivative of 47*m**4/4 - 27*m**3 + 6. Find the third derivative of g(s) wrt s.
282
Let u(o) be the first derivative of 8*o - 7*o**3 + 7*o - 4*o - 5. Differentiate u(c) with respect to c.
-42*c
Let b = 65 + -54. What is the second derivative of 7*x + b*x + 10*x**4 + 12*x - 2*x**4 wrt x?
96*x**2
Let c(m) be the first derivative of -7/2*m**2 + 0*m + 1/3*m**3 + 0*m**4 + 2 + 1/10*m**5. Let h(r) be the second