 - 4. Let x(r) = 4. Suppose 0 = 3*j - 2 + 5. Let d be j/(3 - 10/4). Let h(n) = d*x(n) - 3*p(n). Differentiate h(g) wrt g.
6*g
Let n be -4 + (0 - -4) + 3. Find the second derivative of i**2 + i - 6*i**2 + 5*i - n*i**2 wrt i.
-16
Let p(k) = 22*k**3 - 9*k**2 - 7*k - 22. Let x(q) = 20*q**3 - 12*q**2 - 7*q - 24. Let l(a) = -5*p(a) + 4*x(a). What is the second derivative of l(i) wrt i?
-180*i - 6
Let g(c) be the first derivative of -73*c**2 + 21*c - 21. Differentiate g(d) with respect to d.
-146
Let n(w) be the first derivative of 13 + 2*w**3 + 1/2*w**4 + 0*w + 0*w**2. Find the third derivative of n(b) wrt b.
12
Let k = 111 + -84. Find the third derivative of 39*r**6 - 37*r**2 - k*r**2 + 30*r**2 wrt r.
4680*r**3
Let a(b) = -214*b**2 + 177*b + 5. Let u(c) = 213*c**2 - 178*c - 4. Let l(k) = -4*a(k) - 5*u(k). What is the second derivative of l(g) wrt g?
-418
Let b(r) = 4*r**2 - 10*r + 122. Let f(m) = 3*m**2 - 8*m + 122. Let a(u) = 4*b(u) - 5*f(u). Differentiate a(x) wrt x.
2*x
Let m(c) = c**3 + c**2 - 20. Let i be m(0). Let b be (16/i)/((-2)/5). What is the third derivative of -3*o**6 + 3*o**5 + o**b - 3*o**5 wrt o?
-360*o**3
Suppose -w = -3*w. Let o = -6 + w. Let g(k) = 1. Let m(a) = -5*a**3 + 5. Let q(c) = o*g(c) + m(c). What is the first derivative of q(l) wrt l?
-15*l**2
Suppose -2*l - 2*r + 5 = -3*r, 0 = -4*l - r + 7. Suppose 4*c = -5*g + 3*g + 8, -2*g = c - l. Find the second derivative of -2 - 7*n**c - 5*n + 2 + 4*n**2 wrt n.
-6
Let a(s) = -18*s**2 + 2*s + 1. Let l be a(-1). Let k = l + 27. Find the first derivative of -2*p + 2 + 5 + k*p**3 + 2*p wrt p.
24*p**2
Suppose 5*h - 3*h - 2665 = -5*b, 2*h + 3*b - 2675 = 0. Find the second derivative of 1345*x**3 - h*x**3 - 30*x**5 + 9*x + 9*x wrt x.
-600*x**3
Find the third derivative of 241*b**3 + 0*b**2 - 98*b**5 - 241*b**3 + 4*b**2 wrt b.
-5880*b**2
Suppose 9*b - 7*b + 4 = 0. Let r be b - 5/(10/(-6)). What is the derivative of f + r - 6 + 5*f - 2*f wrt f?
4
Suppose 5*k = 33 - 8. Find the third derivative of -y**k + 37*y**2 + 5*y**5 - 32*y**2 wrt y.
240*y**2
Let g be (-5 + 1)/(7 - 9). Suppose 4*o - 2*s - 12 = -0*s, 2*s + g = -o. Differentiate o + 2 - 1 + 1 - 4*v**4 wrt v.
-16*v**3
Let x(p) be the first derivative of 7*p**6/3 - 17*p**2/2 - 11. Let q(j) = j**5 - j. Let b(m) = 6*q(m) - x(m). What is the second derivative of b(k) wrt k?
-160*k**3
Let f(w) be the second derivative of 0*w**5 + 0*w**3 + 0 - 29/30*w**6 + 0*w**4 - 36*w - 25/2*w**2. Find the first derivative of f(y) wrt y.
-116*y**3
Suppose 0*n = n - 3. Suppose 5*p + 9 - 39 = 0. Find the second derivative of p*i - i**3 + 4*i**3 + 3*i**n - 3*i**3 wrt i.
18*i
Let h(z) = 184*z**3 + 8*z**2 - 31*z - 2. Let u(a) = -61*a**3 - 3*a**2 + 11*a + 1. Let q(t) = -3*h(t) - 8*u(t). What is the second derivative of q(i) wrt i?
-384*i
Let q(m) be the first derivative of 128*m**7/7 + 2*m**3/3 - 373*m + 372. What is the third derivative of q(j) wrt j?
15360*j**3
Find the second derivative of -303*d**2 + 2*d**3 + 468*d**2 - 73*d + 281*d wrt d.
12*d + 330
Let q(u) = -u - 6. Let i be q(-9). Suppose 50 = 5*f - i*k, 10 = -2*f - 5*k - 1. What is the second derivative of -3*s - s**3 - f*s + 4*s wrt s?
-6*s
Let o(v) = -53*v**2 - v - 51. Let i(l) = 52*l**2 + l + 52. Let t(h) = 6*i(h) + 5*o(h). Find the second derivative of t(p) wrt p.
94
Let j(m) be the third derivative of -11/112*m**8 + 0*m**7 + 11/30*m**5 + 0*m - m**2 + 0*m**4 + 0*m**6 + 0 + 0*m**3. Find the third derivative of j(x) wrt x.
-1980*x**2
Let z(l) be the second derivative of 0*l**6 + 0*l**5 + 0*l**7 + 0*l**3 - 1/7*l**8 + 0 + 0*l**2 + 7*l + 3/4*l**4. What is the third derivative of z(m) wrt m?
-960*m**3
What is the derivative of 145*j**2 - 245*j**2 + 47 + 200*j**2 wrt j?
200*j
What is the third derivative of -9*h**2 + 6*h - 49 + 87 + 50*h**3 - 38 wrt h?
300
Let p be 0*(2 + (-28)/12). Let l(d) be the first derivative of 1 + 0*d + 7/3*d**3 + 0*d**4 + p*d**2 + 4/5*d**5. Find the third derivative of l(g) wrt g.
96*g
Suppose 12 = 4*n - u, -n - 5*u = 11 + 7. Let q = 9 - n. Find the third derivative of -3*g**5 + 11*g**5 - q*g**2 + 15*g**2 wrt g.
480*g**2
Let q(c) = -c**3 - c**2 + 2*c + 2. Let l be q(-2). Suppose l*d - 5*d + 216 = 0. What is the second derivative of d*r - 7*r**5 - 74*r - 3 + 3 wrt r?
-140*r**3
Let v(p) = -p**2 + 7*p - 4. Let h = 8 - 2. Let o be v(h). What is the second derivative of -4*y - 3*y**4 - y - o*y + 2*y wrt y?
-36*y**2
Let q(k) = -2*k**2 + 4*k + 1. Suppose -3*r - 20 = 2*r. Let v(y) = -3*y**2 + 3*y. Let p(g) = r*v(g) + 3*q(g). Find the first derivative of p(l) wrt l.
12*l
Let p(n) = 200*n**4 + 4*n**3 + 3*n - 8. Let b(l) = 197*l**4 + 3*l**3 + 2*l - 7. Let c(y) = 4*b(y) - 3*p(y). What is the second derivative of c(f) wrt f?
2256*f**2
Let p(b) be the second derivative of -3/10*b**6 + b - 2 - 7/6*b**3 + 0*b**5 - b**2 + 0*b**4. What is the second derivative of p(u) wrt u?
-108*u**2
Let f(w) = -w**3 - 5*w**2 - 2*w - 5. Let n be f(-5). Let y be n/15 + 22/6. Find the third derivative of -3*t**2 + 19*t**y + 3*t**5 - 19*t**4 wrt t.
180*t**2
Let m = 105 - 100. What is the third derivative of -54*p**6 - 11*p**6 + m*p + 6*p**2 + 14*p**6 wrt p?
-6120*p**3
Suppose 9 = 2*h + 3*c - 28, 4*h - 59 = -3*c. Differentiate -2 + h*p**2 + 0*p**2 + p**2 - 16 with respect to p.
24*p
What is the second derivative of -390*q**5 + 54*q**5 - 34*q + 139*q**5 wrt q?
-3940*q**3
Let h = 37 + -35. Find the third derivative of -14*v**2 - 12*v**h - 4*v**4 + 24*v**2 - v**4 wrt v.
-120*v
Differentiate 264 + 300 + 35*w**2 - 480 with respect to w.
70*w
Let p(b) be the third derivative of b**5/60 - 17*b**4/8 - 173*b**3/6 - 68*b**2. What is the derivative of p(k) wrt k?
2*k - 51
What is the second derivative of -522*y + 177*y + 226*y + 96*y**2 wrt y?
192
Let j(y) = 52*y**3 - 5*y - 55. Let t(x) = 51*x**3 - 4*x - 56. Let a(c) = 4*j(c) - 5*t(c). What is the first derivative of a(m) wrt m?
-141*m**2
Let n(q) be the third derivative of 20*q**2 + 11/60*q**5 + 0*q**4 + 0 + 0*q**6 + 1/24*q**8 + 0*q**3 + 0*q**7 + 0*q. Find the third derivative of n(y) wrt y.
840*y**2
What is the second derivative of -72*a**3 + 34 + 11*a + 432*a**3 - 33 wrt a?
2160*a
Find the first derivative of 13*f**2 - 18 + 5*f**2 - 36 + 17*f**2 wrt f.
70*f
Suppose -3*l + 19 = 1. Suppose 256 = l*d - 2*d. What is the first derivative of 4 - 64*z**3 - 4*z**4 + d*z**3 wrt z?
-16*z**3
Find the second derivative of 162*a**5 + 120*a**5 - 68*a**5 - 51*a + 2 + 20*a**5 wrt a.
4680*a**3
Let l(g) be the first derivative of 17*g**4 - g**3 - 2*g**2 - 82. What is the third derivative of l(d) wrt d?
408
Let g(x) = 45*x**4 + 4*x**3 - 61*x + 4. Let w(o) = -44*o**4 - 3*o**3 + 61*o - 3. Let k(t) = 3*g(t) + 4*w(t). What is the second derivative of k(z) wrt z?
-492*z**2
Find the second derivative of -48*g - 14*g**4 - 18*g - 28*g**4 + 2 - 144*g**4 wrt g.
-2232*g**2
Let b(m) be the third derivative of 13*m**6/20 - 5*m**4/12 - m**3/3 - m**2 - 5. What is the second derivative of b(a) wrt a?
468*a
Let u(n) be the first derivative of -69*n**5/5 + n**4/4 + 16*n**3/3 - 4*n - 138. What is the third derivative of u(h) wrt h?
-1656*h + 6
Suppose 12*d - 5394 = 54. Find the second derivative of 10*a**5 + 14*a + 456*a**2 - d*a**2 + 4 - 2 wrt a.
200*a**3 + 4
Let x(s) be the second derivative of 12*s + 0 + 7/3*s**3 - 2*s**2. What is the first derivative of x(o) wrt o?
14
Let n(o) be the third derivative of 0*o**4 + 17*o**2 - 1 + 0*o + 11/60*o**5 + 1/6*o**3 - 31/120*o**6. What is the third derivative of n(m) wrt m?
-186
Let f(s) = 105*s - 150. Let r(u) = -1. Let m(c) = -2*f(c) + 14*r(c). What is the first derivative of m(l) wrt l?
-210
Find the first derivative of -134 + 36*d**2 - 88*d**2 - 207*d**2 wrt d.
-518*d
Let w(n) be the third derivative of -3*n**6/40 - n**5/60 - 5*n**4/3 + n**3/3 - 2*n**2 - 4. What is the second derivative of w(f) wrt f?
-54*f - 2
Differentiate -12 - 6464*w - 14*w**4 + 6464*w wrt w.
-56*w**3
Let k(y) be the third derivative of 1/20*y**5 - 3/112*y**8 + 0*y**4 - 16*y**2 + 0*y**6 + 0*y**3 + 0*y**7 + 0*y + 0. What is the third derivative of k(b) wrt b?
-540*b**2
Let y(l) be the third derivative of 0*l**5 + 16*l**2 + 0*l**3 + 0*l + 5/168*l**8 + 0*l**7 + 0*l**6 - 1/6*l**4 + 0. Find the second derivative of y(f) wrt f.
200*f**3
Let t(u) = 26*u - 283. Let s be t(11). Let w(h) be the third deri