t**3 wrt t?
-240*t**3
Suppose -16*u - 33 = -65. Let h(f) be the first derivative of 9/2*f**u + 2 + 3*f**4 + 0*f**3 + 0*f. Find the second derivative of h(q) wrt q.
72*q
Let m(h) = 40*h**3 - 3*h**2 - 4*h + 8. Let w(l) = -159*l**3 + 12*l**2 + 15*l - 30. Let v(u) = 15*m(u) + 4*w(u). Find the third derivative of v(y) wrt y.
-216
Suppose 2 = -3*f + 5*b, 5*f - 20 = 3*f - 2*b. Find the third derivative of f*h**2 + 233*h**3 + 7*h**4 - 233*h**3 wrt h.
168*h
Let v(q) = -q**2 - 2*q + 3. Let h be v(-3). What is the first derivative of 98*z**3 + 5 + 0*z + h*z - 83*z**3 wrt z?
45*z**2
Let v be (0 - 0) + -5 + 14. Suppose -2*a - v = -4*x - 3*a, a = 2*x - 3. Find the second derivative of 43*w**2 - 43*w**x + 5*w - 2*w**3 - 6*w**3 wrt w.
-48*w
Let x(r) = -20*r - 18. Let h(l) = 3. Let j(f) = -21*h(f) - 3*x(f). What is the derivative of j(a) wrt a?
60
What is the derivative of -r + r - 152*r**4 + 147*r**4 + 95 - 60*r**4 wrt r?
-260*r**3
Let r(x) = 18*x**2 - 27*x + 5. Let q(s) = -9*s**2 + 14*s - 3. Suppose 3*f = -0*f + 15. Let w(a) = f*q(a) + 3*r(a). Find the second derivative of w(o) wrt o.
18
Let g(b) = -b**3 - 3*b**2 - b + 3. Let m be g(-2). Suppose 9 = 2*t + s - 8, -s + m = 0. Find the third derivative of 13*n**6 + 6*n**2 - 2*n**2 + t*n**2 wrt n.
1560*n**3
Let k(c) be the third derivative of 41*c**4/6 - 205*c**3/6 - 4*c**2 + 2. What is the first derivative of k(p) wrt p?
164
Let f be (-1)/(-2)*4*(17 - 0). Differentiate -48 + 39 - 19 - f*m**2 with respect to m.
-68*m
Suppose -3*h + 10 = -2. What is the third derivative of -18*y**4 + 28*y**h - 13*y**2 + 0*y**2 wrt y?
240*y
Suppose -24*b - 184 = -25*b. Find the second derivative of 3 + b*c - 3 - 170*c - 12*c**4 wrt c.
-144*c**2
Let h(l) = -l**2 + 21. Let g be h(5). Let v(i) = -7*i**3 - 4*i**2 - 4*i + 23. Let m(u) = -u**2 - u. Let c(b) = g*m(b) + v(b). Differentiate c(j) wrt j.
-21*j**2
Let s = -34 - -36. Differentiate 8 + 0*k**3 + s*k**3 - 13*k**3 with respect to k.
-33*k**2
Let j(g) = -405*g**2 - g - 113. Let y(u) = -4*u**2 + 1. Let c(m) = -j(m) + 6*y(m). Find the second derivative of c(t) wrt t.
762
What is the second derivative of 8 - 2*p**2 - 3*p - 7*p**3 + 42*p**3 - p**3 wrt p?
204*p - 4
Let q be 52/3 + -1 - 1/3. What is the second derivative of q*i**3 + 23*i**3 + 5*i - 24*i**3 wrt i?
90*i
Let i(y) = y**3 - 21*y**2 + y - 18. Let s be i(21). What is the second derivative of 20*m**3 + 34*m**s - 5*m - 38*m**3 wrt m?
96*m
Let q(j) be the third derivative of -j**7/70 + j**5/12 + j**3/2 + 3*j**2. Let f(w) = w**2. Let p(x) = -5*f(x) + q(x). Differentiate p(t) with respect to t.
-12*t**3
Let c(o) be the first derivative of -2*o**5/5 + 5*o**4/2 - o**3/3 + 4. Find the third derivative of c(w) wrt w.
-48*w + 60
Let g = 1081/1365 + -66/91. Let w(d) be the second derivative of d**2 + 0 + 0*d**3 + 4*d + g*d**6 + 0*d**4 + 0*d**5. Differentiate w(k) with respect to k.
8*k**3
Suppose -24 - 6 = -3*x. What is the third derivative of 5*c**4 - 8*c**4 - x*c**2 + 3*c**4 + 5*c**5 wrt c?
300*c**2
Suppose 2*k = -0*k - b + 4, k + b = 4. Differentiate 0*f + 109 - 106 + k*f - 15*f**2 with respect to f.
-30*f
Differentiate -33*t**2 + 12*t**2 - 84 + 23*t**2 - 5*t - 8 with respect to t.
4*t - 5
What is the second derivative of 12*t**5 - 10*t**5 + 69*t - 67*t - 254*t**4 - 24 wrt t?
40*t**3 - 3048*t**2
Let p be 3*10/(-36)*33/(-275). Let s(f) be the second derivative of 0*f**2 + p*f**5 + 1/12*f**4 - 2*f + 0 + 0*f**3. What is the third derivative of s(g) wrt g?
12
Suppose 7 = -3*j - 11. Let x(a) = -a + 4. Let i be x(j). What is the third derivative of -707*r - r**2 + i*r**4 + 707*r wrt r?
240*r
Let n(k) be the third derivative of 11/24*k**4 + 0*k**3 - k**2 + 0 + 0*k**6 + 0*k**5 + 0*k**7 + 0*k - 1/84*k**8. Find the second derivative of n(m) wrt m.
-80*m**3
Let a(t) be the third derivative of 9*t**5/5 - 7*t**4/24 + 5*t**3/3 - 13*t**2 + 6*t. Find the second derivative of a(j) wrt j.
216
Let q(d) = -d**4 - d**2 + d - 1. Let x(w) = -59*w**4 + 4*w**2 - 4*w - 108. Let o(g) = -4*q(g) - x(g). What is the derivative of o(p) wrt p?
252*p**3
Let n = 111 - -13. What is the third derivative of n*w - 22*w**4 - 28*w**2 - 124*w wrt w?
-528*w
Let a(l) = l**2 - 2. Let q be a(2). Suppose -y = c - q, -5*y = -c + 1 + 1. Find the second derivative of 0*d**2 + y*d**2 + 5*d + 0*d + 8*d**4 wrt d.
96*d**2
Let g(w) be the third derivative of 25*w**6/6 + 431*w**3/3 + 4*w**2 + 48*w. Differentiate g(i) with respect to i.
1500*i**2
Let b(s) = -29*s**2 + 9*s. Let r(d) = -2*d - 14*d**2 + 6*d - 2*d + 2*d. Let a(x) = 3*b(x) - 7*r(x). What is the second derivative of a(w) wrt w?
22
Find the third derivative of g**2 + 3*g - 2*g**4 + 10*g**3 + 10*g - 13*g + 49 wrt g.
-48*g + 60
Let u(i) be the third derivative of -23*i**5/60 + 67*i**4/8 - 211*i**2. Find the second derivative of u(l) wrt l.
-46
Let l be 518/98 + (-4)/14. Find the third derivative of -10*p**6 + 2*p**2 + 29*p**6 + l*p**6 wrt p.
2880*p**3
Let x(a) be the second derivative of 31*a**3/3 + 30*a**2 - 93*a. What is the first derivative of x(k) wrt k?
62
Suppose 0*i = -i - 5*c + 27, 0 = -3*i + c + 1. Suppose -49 - 63 = -56*r. Find the first derivative of 0 - r*y**2 + 3*y**i + 6 wrt y.
2*y
Let k be (42 + 0)*(-3)/((-54)/12). Find the second derivative of -k*i**5 + 15*i + 3 - 22*i - 3 wrt i.
-560*i**3
Let a(w) = -5*w**4 + 3*w**3 + w**2 - 3*w + 42. Let j = -60 - -61. Let k(v) = -v**3 + v + 1. Let p(s) = j*a(s) + 3*k(s). What is the derivative of p(u) wrt u?
-20*u**3 + 2*u
Let g(f) = 32*f**2 + 3*f. Let n(c) be the second derivative of -8*c**4/3 - c**3/2 + 3*c. Let u(d) = 4*g(d) + 3*n(d). Find the second derivative of u(x) wrt x.
64
What is the third derivative of 81*p**2 - 6*p**2 + 40*p**2 - 91*p**5 wrt p?
-5460*p**2
Let d be (28 + 0/(-2))/(3 + -2). What is the second derivative of -10*o + 20*o - 18*o**4 - d*o wrt o?
-216*o**2
Let s(d) be the second derivative of -47*d**8/28 + d**4/12 - 213*d**2 + 140*d. What is the third derivative of s(v) wrt v?
-11280*v**3
Let l(k) be the second derivative of -k**6/360 - k**4/24 - k**3/6 - 7*k. Let g(i) be the second derivative of l(i). What is the derivative of g(f) wrt f?
-2*f
Let h be (18*-1)/(-3) - 3. Suppose 5*b + h*b = 16. Find the third derivative of -53*i**5 + 50*i**5 + b*i**2 + 0*i**2 wrt i.
-180*i**2
Differentiate -8*w - 278 - 110*w**3 + 18*w - 10*w with respect to w.
-330*w**2
Let c(y) = -35*y**3 - 4*y**2 + 2*y + 48. Let u(a) = -68*a**3 - 7*a**2 + 4*a + 95. Let i(j) = -7*c(j) + 4*u(j). Differentiate i(l) wrt l.
-81*l**2 + 2
Let n(j) be the second derivative of 28*j**4/3 + 5*j**3/6 - 4*j**2 + 47*j. What is the second derivative of n(q) wrt q?
224
Find the third derivative of 7*s**3 + 49*s**3 - 7*s**2 - 45*s**2 wrt s.
336
Let c(y) be the first derivative of 179*y**6/2 + 754*y**3/3 - 10. What is the third derivative of c(f) wrt f?
32220*f**2
Let t(u) be the third derivative of -37*u**9/126 + u**7/105 - 91*u**5/30 + 224*u**2 - 1. What is the third derivative of t(a) wrt a?
-17760*a**3 + 48*a
Let w(b) be the third derivative of -1003*b**6/120 - 391*b**5/60 + 6*b**2 + 5. What is the third derivative of w(i) wrt i?
-6018
Let b(i) = -i**3 - 3*i**2 + 4*i - 4. Let n be b(-5). Suppose -n - 16 = -2*k. What is the second derivative of -29*j + 2*j**2 - j**2 + k*j wrt j?
2
Let y(b) = 7*b**2 - b. Let g be y(1). Let x(f) = f**2 + 6*f - 14. Let c be x(-8). Find the third derivative of 0*w**c + 0*w**2 + 3*w**2 - 8*w**2 + 2*w**g wrt w.
240*w**3
Let u(k) = 238*k**3 - 7*k**2 - 7*k + 527. Let c(q) = 158*q**3 - 5*q**2 - 5*q + 351. Let w(z) = -7*c(z) + 5*u(z). Differentiate w(r) wrt r.
252*r**2
Let l(g) = -145*g**3 - 147*g**2 - g. Let m(s) = s**3 - s**2 + s. Let z(y) = l(y) - 2*m(y). What is the third derivative of z(u) wrt u?
-882
Let h(n) be the third derivative of 247*n**4/12 + 55*n**3/6 + 2*n**2 + 164*n. Differentiate h(v) with respect to v.
494
Let s(i) be the third derivative of 13*i**9/42 - 21*i**5/10 + 234*i**2. Find the third derivative of s(f) wrt f.
18720*f**3
Let f(u) be the third derivative of u**8/21 - u**7/105 - 7*u**5/12 - 22*u**2. What is the third derivative of f(n) wrt n?
960*n**2 - 48*n
Suppose 7*o + 15 = 4*o, -3*f = -3*o - 24. Find the second derivative of 7*r**2 + f*r**2 - 2*r**2 - r**2 - r - 8 wrt r.
14
Differentiate 212 - 197*l**3 + 4*l**3 - 24*l**3 + 188 - 9*l**3 with respect to