 -12*i = -4*i. Let q(y) be the first derivative of -3/2*y**2 + i*y - 4 + 0*y**3 + 3/5*y**5 + 0*y**4. Find the second derivative of q(m) wrt m.
36*m**2
Find the first derivative of -317 + 2*x - 426*x**2 + 32*x**3 + 426*x**2 wrt x.
96*x**2 + 2
Let p(m) = 222*m - 173. Let b(y) = 4885*y - 3810. Let u(l) = 2*b(l) - 45*p(l). Differentiate u(r) with respect to r.
-220
Let r(n) = -n + 24. Let h be r(9). Find the second derivative of -35*m**5 - 22*m + 12*m - h*m wrt m.
-700*m**3
Let z(n) = -42*n**3 - 6*n**2 + 12*n + 119. Let d(h) = -43*h**3 - 5*h**2 + 10*h + 120. Let j(w) = 6*d(w) - 5*z(w). Differentiate j(p) with respect to p.
-144*p**2
Let f(r) be the third derivative of -2/105*r**7 - 2/3*r**3 + 0*r**4 + 0 + 0*r + 0*r**6 - 6*r**2 + 0*r**5. Differentiate f(u) wrt u.
-16*u**3
Let v(h) = -6*h**3 - h**2 + h + 1. Let j(p) = 831*p**3 - 38*p**2 - 3. Let w(g) = j(g) + 3*v(g). Find the third derivative of w(n) wrt n.
4878
Let v(t) be the first derivative of 5*t**3/6 + 11*t**2/2 + t + 11. Let i(h) be the first derivative of v(h). What is the first derivative of i(a) wrt a?
5
Let h(u) be the third derivative of -1/10*u**5 + 0*u + 0 + 31/120*u**6 - 29*u**2 + 0*u**3 + 0*u**4. What is the third derivative of h(i) wrt i?
186
Find the second derivative of 0 + 196*m**5 - 2*m + 3 - 260*m**5 wrt m.
-1280*m**3
Let c(h) be the first derivative of -45/2*h**2 + 42 + 17*h. What is the first derivative of c(l) wrt l?
-45
Let l(z) be the second derivative of -67*z**6/15 + 11*z**4/12 + z**3/3 - 441*z. What is the third derivative of l(p) wrt p?
-3216*p
Let s = 26 + -24. Find the third derivative of 278*z**s - 290*z**2 + z**5 - 15*z**5 wrt z.
-840*z**2
Let u(t) = -t**2 + 1. Let j(k) = 86*k**2 - 348. Let s(r) = -j(r) - 4*u(r). What is the first derivative of s(x) wrt x?
-164*x
Let k(j) = 0*j**2 + 2*j + 17*j**3 - 16*j**3 - 2 - 2*j**2. Let i be k(2). Find the second derivative of -13*m + 0*m**4 + 0*m**4 + 8*m - i*m**5 wrt m.
-40*m**3
Let c(f) be the second derivative of -f**4/12 + 319*f**3/6 + 73*f**2 + 17*f + 22. Find the first derivative of c(k) wrt k.
-2*k + 319
What is the derivative of -25 - 15 - 39*z - 31*z - 22 wrt z?
-70
Let g(u) be the second derivative of -1/2*u**2 + 0*u**5 - 2*u + 0*u**4 - 17/6*u**3 + 19/15*u**6 - 10. Find the second derivative of g(o) wrt o.
456*o**2
Let l(r) be the first derivative of -93*r**4/4 - 2*r**3/3 + 35*r**2/2 + 68. Find the third derivative of l(q) wrt q.
-558
Let u(b) = -b - 2. Let r(j) = -223*j**2 - 18*j - 18. Let g(x) = r(x) - 6*u(x). What is the second derivative of g(i) wrt i?
-446
Let w(g) be the third derivative of -g**5/20 + 3*g**4/4 + 47*g**3/3 - 2*g**2 - 94*g. What is the first derivative of w(a) wrt a?
-6*a + 18
Let u be (-5 + 14)*1/5*15. What is the third derivative of -6*p**4 + 0*p**2 + 15*p**4 + 6*p**4 - u*p**2 wrt p?
360*p
Suppose -3*n = 3*n - 12. Find the first derivative of -15*p**2 - 2 - 3 + n wrt p.
-30*p
Find the second derivative of 27*o + 104*o**4 + 39*o + 180*o - 26*o**4 + 74*o**4 - o**3 wrt o.
1824*o**2 - 6*o
Let j(z) be the first derivative of 3*z**4/4 - 37*z**3/3 - 215*z**2/2 + 200. Find the second derivative of j(w) wrt w.
18*w - 74
Let j(q) = -q**3 - q**2 - 2. Let h(r) = 69*r**3 - 2*r**2 - 2*r - 20. Let a(u) = h(u) - 2*j(u). Find the second derivative of a(k) wrt k.
426*k
What is the first derivative of -24*z - 29 + 12*z - 1 + 2*z**4 - 38*z wrt z?
8*z**3 - 50
Let o(a) be the first derivative of a**7/35 + 23*a**3/6 + 5*a**2 + 18. Let y(l) be the second derivative of o(l). Differentiate y(d) wrt d.
24*d**3
Let w(m) = -10*m**3 + 1 + 8*m**3 + 4*m**3 - m**2. Let a be w(1). What is the first derivative of 1 - 5 - 1 - a*k**2 wrt k?
-4*k
Let m be (68/51)/(4/6). Suppose c + 0*c - g - 8 = 0, -c - m*g + 11 = 0. Find the third derivative of -4*k**3 - 4*k**2 - 8*k**2 - c*k**3 wrt k.
-78
Let l(p) = -8*p + 79. Let u(f) = 15*f - 158. Let c(d) = 11*l(d) + 6*u(d). Differentiate c(a) wrt a.
2
Let b(d) = 15*d + 31. Let c(a) = 67 - 67 + a. Let p(y) = b(y) - 4*c(y). What is the derivative of p(z) wrt z?
11
Suppose 3*m - 25 = 41. What is the second derivative of 18*t**5 + 7*t + t**4 + m - 13*t + 7*t - 3*t wrt t?
360*t**3 + 12*t**2
Let k(m) be the second derivative of -261*m**8/56 - 10*m**4 + 254*m. What is the third derivative of k(h) wrt h?
-31320*h**3
Suppose 0 = 6*u + 2*u - 96. Let f be 4 + (u/1)/(-3). Differentiate f*t**3 - 135 - t**3 + 124 with respect to t.
-3*t**2
Let s(r) be the first derivative of -r**5/10 + 4*r**2 - 12*r - 6. Let w(d) be the first derivative of s(d). Find the first derivative of w(y) wrt y.
-6*y**2
Let z = 25 + -21. Differentiate 2*d**z - 6*d**4 - 14 + 10 with respect to d.
-16*d**3
Suppose 3*w - 85 = 17. Find the second derivative of -w*g**5 + g - 8*g - 10*g + 18*g**5 wrt g.
-320*g**3
Let u(z) = -4*z - 12. Let a be u(-5). What is the second derivative of 0*k**2 + 7*k**2 + a*k - 2*k wrt k?
14
Let t = 12 + 4. Let q = -11 + t. What is the third derivative of 14*y**2 + y**5 - 2*y**q - 11*y**2 wrt y?
-60*y**2
Let d be ((-2)/(-3))/((-20)/(-60)). What is the third derivative of 2*v**d + 5*v**3 + 11*v**2 - 11*v**2 wrt v?
30
Let s(h) be the first derivative of -19*h**5 + 2*h**3/3 + 45*h**2 + 190. What is the third derivative of s(d) wrt d?
-2280*d
Let w(p) be the third derivative of -3*p**7/14 - p**5/12 - p**3 - 12*p**2 - 1. Find the third derivative of w(k) wrt k.
-1080*k
Let g(u) = -u**2 + 9*u - 6. Let d be g(8). Find the second derivative of 8*c**d - 9*c - 11 + 6 + 5 wrt c.
16
Suppose -b - 36 = -7*b. What is the second derivative of 1 - 1 - 13*r**2 - b*r + 12*r wrt r?
-26
Let b(f) be the second derivative of -3*f - f**2 - 5/6*f**3 + 0. What is the first derivative of b(a) wrt a?
-5
Let v(g) be the third derivative of g**8/28 + g**7/105 + g**5/12 + 2*g**3/3 - 29*g**2 - 1. What is the third derivative of v(x) wrt x?
720*x**2 + 48*x
Suppose 0 = -5*s + 30 + 25. Suppose -p + t = -154, -4*t = 1 + s. Find the third derivative of p*a**4 - 151*a**4 + 8*a**2 + 10*a**6 wrt a.
1200*a**3
Let d(y) = -222*y**2 + 4*y - 70. Let o(k) = -222*k**2 + 5*k - 73. Let b(n) = -6*d(n) + 5*o(n). What is the second derivative of b(x) wrt x?
444
Let r(k) = -k**4 + k**3 - k**2 - k. Let i(z) = -16*z**4 - z**3 - 77*z**2 - 3*z. Let f(s) = -i(s) + 3*r(s). Find the third derivative of f(h) wrt h.
312*h + 24
Let v(b) be the third derivative of -125*b**8/336 - b**7/210 - b**5/30 - 9*b**3 - 122*b**2. Find the third derivative of v(y) wrt y.
-7500*y**2 - 24*y
Let k(v) be the first derivative of 0*v**6 - 23 - 11/3*v**3 + 0*v**5 + 0*v**4 + 0*v**2 + 0*v - 9/7*v**7. What is the third derivative of k(p) wrt p?
-1080*p**3
Let h(q) = -q**3 + 3*q**2 + 26*q + 68. Let l(p) = -2*p**2 - 25*p - 70. Let r(o) = -2*h(o) - 3*l(o). What is the first derivative of r(f) wrt f?
6*f**2 + 23
Differentiate -5153*j + 77*j**4 - 251 + 5153*j wrt j.
308*j**3
Let q(m) be the third derivative of m**6/2 + 229*m**3/6 - 2*m**2 + 63*m. What is the first derivative of q(g) wrt g?
180*g**2
Let t(c) be the second derivative of c**11/5040 - c**7/840 + 5*c**4/6 - c. Let i(q) be the third derivative of t(q). What is the third derivative of i(a) wrt a?
1320*a**3
Let v(b) = 34*b + 3. Let w(y) = 36*y + 3. Let d(c) = -7*v(c) + 6*w(c). What is the first derivative of d(f) wrt f?
-22
Suppose 0*z + 5*z - 40 = 0. Suppose -m = 3*m - z. What is the second derivative of -6*n + 18 - 18 - m*n**2 wrt n?
-4
Let b(k) be the second derivative of 1/10*k**6 - 5/2*k**2 - 9*k + 0 + 0*k**4 + 0*k**5 + 0*k**3. What is the first derivative of b(c) wrt c?
12*c**3
Let j(r) be the third derivative of -11*r**6/20 - 23*r**5/60 - r**2 + 152*r. What is the third derivative of j(l) wrt l?
-396
Let a(g) = -2*g**2 - 4*g + 7. Let l be a(3). Let o = 25 + l. Differentiate 0*n**2 + 6 - 8*n**4 + 0*n**o with respect to n.
-32*n**3
Let z(c) = -c**2 + c + 1. Let w(j) = 64*j**2 + 6*j - 62. Let y(a) = -w(a) + 6*z(a). Differentiate y(h) wrt h.
-140*h
What is the first derivative of 56 - 17 + 40 - 53*j**4 + 3*j**3 - 2*j**3 wrt j?
-212*j**3 + 3*j**2
Let c(w) = -w**3 - w**2 - w + 4. Let n be c(0). Find the second derivative of -23*p**2 + 23*p**2 + n*p + 2*p**3 wrt p.
12*p
Let u(m) be the second derivative of 17*m**7/210 + 2*m**3/3 - 37*m**2/2 + 2*m. Let i(q) be the first derivative of u(q). Differentiate i(x) wrt x.
68*x**3
Let j(s) be t