400*r**3
Suppose 7*i - 2 - 5 = 0. Let f(j) = 20*j**2 - 2*j + 22. Let b(k) = -k**2 - k + 1. Let y(d) = i*f(d) - 2*b(d). Find the first derivative of y(g) wrt g.
44*g
Let u(c) = -c**2. Let l(j) be the first derivative of -j**3/3 + 9*j - 6. Let r(g) = l(g) + 6*u(g). Differentiate r(v) wrt v.
-14*v
Find the third derivative of -250*k + 30*k**5 - k**3 - 38*k**2 + 3*k**3 + 248*k wrt k.
1800*k**2 + 12
Let r(y) = -29*y**2 + 27. Let m(f) = -9*f**2 + 56*f**2 + 20*f**2 + 20*f**2 - 80. Let w(g) = -3*m(g) - 8*r(g). What is the derivative of w(j) wrt j?
-58*j
Let f(m) be the second derivative of -95*m**4/12 + 8*m**3/3 + m**2/2 + 2*m - 78. What is the second derivative of f(p) wrt p?
-190
Find the first derivative of -170*h**3 - 3236*h - 455 + 3236*h wrt h.
-510*h**2
Let h(c) be the third derivative of 0*c**4 + 0*c**3 - 17/336*c**8 + 0*c - 7/30*c**5 + 0*c**7 + 0 + 0*c**6 - 9*c**2. What is the third derivative of h(y) wrt y?
-1020*y**2
Let j(g) = -g**2 + 21*g + 13. Let f be j(19). What is the second derivative of 28*k**2 + f*k - 37*k**2 + 23*k**2 wrt k?
28
Let u(i) = -2*i**3 - 3*i**2 - 82*i - 226. Let p(n) = n**3 + n**2 + n - 1. Let l(g) = 6*p(g) + 2*u(g). What is the derivative of l(q) wrt q?
6*q**2 - 158
Let b(l) = 3*l + 1. Let d be b(-1). Let z(u) = -1. Let w(r) = 3*r - 14. Let o(c) = d*z(c) - w(c). Differentiate o(t) wrt t.
-3
Let t(j) be the third derivative of 0*j + 2/3*j**3 - 4*j**2 + 0*j**5 + 0 + 0*j**4 + 7/60*j**6. Find the first derivative of t(i) wrt i.
42*i**2
Let w(o) be the third derivative of -5*o**4/2 + 29*o**3/3 - 22*o**2. Differentiate w(n) with respect to n.
-60
Let q(k) = 591*k**4 - 5*k**3 - 1329*k + 6. Let d(r) = 886*r**4 - 7*r**3 - 1994*r + 8. Let y(p) = -5*d(p) + 7*q(p). What is the second derivative of y(x) wrt x?
-3516*x**2
Let o = 15 + -15. Let q be 1*(-2 + 6 + o). Find the first derivative of 0 - 3 - q*a**2 + 16*a**2 + 8 wrt a.
24*a
Let v = 51 - 45. What is the derivative of 10*a**4 - 1 - 2 - 6*a**4 + v*a**4 wrt a?
40*a**3
Let n(h) be the second derivative of -h**4/12 + 7*h**3/6 + h**2 - 7*h. Let b be n(7). What is the second derivative of -6*v - 3*v**2 - v - 2*v**b wrt v?
-10
Let t(q) be the first derivative of -115*q**2/2 + 124*q + 63. Find the first derivative of t(g) wrt g.
-115
Let y(t) be the second derivative of 13*t**5/20 + 5*t**3/6 - 6*t**2 - 18*t. Differentiate y(a) wrt a.
39*a**2 + 5
Suppose 80 = 69*o - 58. Let t(l) be the first derivative of 3/2*l**4 + 0*l**3 + 13*l - o + 0*l**2. What is the first derivative of t(q) wrt q?
18*q**2
Let y(p) = 676*p + 98. Let r(t) = 225*t + 33. Let m(o) = 11*r(o) - 4*y(o). What is the first derivative of m(s) wrt s?
-229
Let f be (-2)/4*(2 + -50). Let l be 1/(-4) - (-102)/f. Find the second derivative of -4*i + l*i**5 + 2*i + 4*i wrt i.
80*i**3
Find the first derivative of -7140*p**2 + 7140*p**2 + 214 + p - 69*p**4 wrt p.
-276*p**3 + 1
Let r(t) = -111*t**3 - 9*t**2 + 36*t - 9. Let s(c) = 56*c**3 + 4*c**2 - 19*c + 4. Let f(p) = -4*r(p) - 9*s(p). Find the second derivative of f(q) wrt q.
-360*q
Let f(k) be the first derivative of -7 - 22*k**4 - 8*k + 26*k**4 - 9 - 2*k. Find the first derivative of f(s) wrt s.
48*s**2
Let w = 39 - 36. Find the third derivative of -275*b**6 - 4*b**2 + w*b**2 + 6*b**2 + 280*b**6 wrt b.
600*b**3
Suppose 4*h = -3*a + 97, -a - a + 48 = 2*h. What is the third derivative of 43*j**3 - 78*j**3 + 35*j**3 - h*j**5 + 32*j**2 wrt j?
-1500*j**2
Let w(c) = 179*c**2 + 10*c + 33. Let b(m) = -90*m**2 - 6*m - 17. Let u(g) = -5*b(g) - 3*w(g). Differentiate u(x) with respect to x.
-174*x
Suppose -5*y = -3*n + 16, 2*n - 3*y - 6 = 4. Find the second derivative of -19*g + 5*g**n + 15*g + 28*g wrt g.
10
Let c(s) be the second derivative of -16*s + 0*s**3 + 0 - 2/5*s**6 + 15/2*s**2 + 0*s**5 + 0*s**4. Find the first derivative of c(h) wrt h.
-48*h**3
Let c(l) be the third derivative of -23*l**7/5040 - 13*l**6/360 - l**5/30 + 7*l**2. Let v(i) be the third derivative of c(i). Differentiate v(j) wrt j.
-23
Let k be ((-44)/6)/((-4)/6). Let f = k + -9. What is the second derivative of 4*l + 6*l**f + 3*l**3 - 6*l**2 wrt l?
18*l
Let c(u) = 3*u**2 - 11*u. Let k(p) = -5*p**2 + 3*p**2 - 2*p + 4*p + 3*p. Let o(y) = 6*c(y) + 13*k(y). What is the second derivative of o(v) wrt v?
-16
Let w(o) = o**3 - 5*o**2 + 5*o + 7. Let g be w(3). Differentiate -31 + 16*i**4 + 40 - i**g with respect to i.
60*i**3
Let o(g) be the first derivative of 110*g**3/3 - 4*g**2 + 2*g - 190. What is the second derivative of o(k) wrt k?
220
Suppose 6*p - 100 = p. Suppose 3*a = -2*a + p. What is the first derivative of -7*t**3 + 6 + a - 4 wrt t?
-21*t**2
Suppose 5*n - 4*n = -5*n. Let y(r) be the first derivative of 0*r + 4/5*r**5 - r**2 + 0*r**3 - 3 + n*r**4. What is the second derivative of y(g) wrt g?
48*g**2
Let a be (-10)/20 + (-22)/(-4). Suppose -m = 3*w - a, m - 5*m + 4*w = -4. What is the third derivative of -3*r**6 + 2*r**2 - 2*r**5 + m*r**5 wrt r?
-360*r**3
Let x be -23 + 3 + 1 + -3. Let j = -14 - x. Differentiate 0*y + 0*y + 3 + 2*y**4 - j*y**4 with respect to y.
-24*y**3
Let m = 209 - 209. Suppose -21 + 3 = -h. What is the derivative of -h*o**3 - 6 + 8*o**3 + m wrt o?
-30*o**2
Let x = 30 + -26. Suppose c = 2*c - x. Find the second derivative of 4*a + 4*a + 2*a + a**c + 7*a**4 wrt a.
96*a**2
Let u(k) be the third derivative of -11*k**5/30 + k**4/4 + 521*k**3/6 + 781*k**2. Differentiate u(l) wrt l.
-44*l + 6
Let h(l) be the second derivative of -5*l**4/12 + l**3/6 - l**2/2 + 120*l. What is the second derivative of h(s) wrt s?
-10
Let p(h) be the first derivative of 0*h + 3/2*h**4 + 0*h**3 - 4 + h**2. Find the second derivative of p(c) wrt c.
36*c
Let p(w) be the third derivative of -2*w**7/35 + w**5/4 - 48*w**2. Find the third derivative of p(a) wrt a.
-288*a
Let p be 7 + (-1 - -2)/(-1). Let w be (27/(-18))/(((-20)/(-8))/(-5)). Find the third derivative of 5*s**2 + 12*s**4 - 12*s**4 - s**2 + w*s**p wrt s.
360*s**3
Suppose 5*n = 24 + 6. What is the first derivative of 0 + 2 + n*s**3 + 6 wrt s?
18*s**2
Let k(x) be the first derivative of -7*x**6/3 + 361*x**3/3 - 54. What is the third derivative of k(i) wrt i?
-840*i**2
Let r(s) be the second derivative of 51*s**6/5 + s**4/6 + 82*s**3/3 - 9*s - 5. Find the third derivative of r(h) wrt h.
7344*h
Let f be (-30)/4*14/21. Let p = f - -7. Find the second derivative of -6*l**2 - l**2 + p*l**2 + 5*l + 0*l**2 wrt l.
-10
Let u(w) = 75*w**3 + 2*w**2 - 2*w + 1. Let j be u(1). Find the third derivative of -j*o**3 + 49*o**3 + 41*o**3 + 4*o**2 wrt o.
84
Let a(w) = 233*w - 388. Let j(o) = -234*o + 385. Let b(m) = 6*a(m) + 5*j(m). What is the first derivative of b(q) wrt q?
228
Let f = 41 + 4. Let i be 28/(-6)*(-6)/4. Find the first derivative of -45*p + i - 3*p**2 + f*p wrt p.
-6*p
Let l(n) be the second derivative of n**6/10 - 19*n**4/12 - 9*n**2/2 - 129*n. What is the first derivative of l(c) wrt c?
12*c**3 - 38*c
Let i(w) be the second derivative of 283*w**7/42 + w**6/30 - 607*w**4/12 - 258*w. What is the third derivative of i(k) wrt k?
16980*k**2 + 24*k
Let a(d) = -173*d**2 + 210*d + 5. Let s(j) = 87*j**2 - 105*j - 2. Let i(t) = 2*a(t) + 5*s(t). What is the second derivative of i(q) wrt q?
178
Let j(r) = -r**4 - 6*r**3 - 10*r. Suppose -6*p + 8 = 2*p. Let d(b) = b**4 - b**3 - b. Let o(x) = p*j(x) - 6*d(x). Find the second derivative of o(n) wrt n.
-84*n**2
Let d = 126 - 124. What is the second derivative of -3*u**d + 39*u**2 + 27 + 27*u - 27 wrt u?
72
Let p(i) = 47*i - 118. Let x(z) = 141*z - 353. Let h(q) = -11*p(q) + 4*x(q). What is the first derivative of h(k) wrt k?
47
Let u(i) be the third derivative of -i**9/2160 - 13*i**5/40 + i**4/4 + 35*i**2. Let c(f) be the second derivative of u(f). Differentiate c(d) with respect to d.
-28*d**3
What is the first derivative of -14*p - 7*p**2 + 261 + 99*p + 6*p**2 wrt p?
-2*p + 85
Let h(l) = -l**3 + 4*l**2 - l - 2. Let k be h(3). What is the first derivative of 11 + k*y**2 + y**2 + 3*y**2 wrt y?
16*y
Suppose u - q - 1 = 3, 0 = -2*u - 2*q. Suppose 6*k = u*k + 24. Differentiate 0*i + 2 - k + i with respect to i.
1
Let n = -175 - -183. Let g(q) be the third derivative of 0*q**4 + 1/210*q**7 + 0*q + 0*q**5 + n*q**2 + 0 - q**3 + 0*q**6. Differentiate g(o) with respect to o.
4*o**3
Find the second derivative of -21*o - 11*o + 25*o - 2 + 79