 - 12. Let b(j) = j**3 + j**2 - 3*j - 3. Let q(f) = -4*b(f) + y(f). What is the third derivative of q(i) wrt i?
-2790
Let j(d) be the second derivative of 327*d**5/20 + 8*d**3/3 - 15*d**2/2 - 2*d - 24. Find the second derivative of j(i) wrt i.
1962*i
Let k(x) be the second derivative of -362*x**7/21 - 5*x**3/6 - 45*x**2/2 + 4*x + 3. Find the second derivative of k(b) wrt b.
-14480*b**3
Suppose -a + 26 = 8. Find the third derivative of -24*d**6 + 0*d**2 + 2*d**2 + a*d**6 wrt d.
-720*d**3
Let y(x) = 4*x**2 + 2*x - 6. Let g be y(-4). What is the second derivative of 5*v + g*v**3 - 50*v**3 + 5*v**4 wrt v?
60*v**2
Let m(j) = 6*j - 14*j + 0*j**2 + j**2 - 9. Let h be m(9). Find the first derivative of -1 + h + 6*a**4 - 7*a**4 wrt a.
-4*a**3
Let g(u) be the third derivative of u**9/126 - 9*u**8/112 + 163*u**5/30 - 172*u**2. Find the third derivative of g(h) wrt h.
480*h**3 - 1620*h**2
Let p(d) be the first derivative of -d**7/3 - 11*d**4/12 - 13*d - 14. Let y(l) be the first derivative of p(l). What is the third derivative of y(o) wrt o?
-840*o**2
Let n(f) be the first derivative of f**6/15 + 5*f**4/12 + 16*f - 16. Let m(p) be the first derivative of n(p). What is the third derivative of m(j) wrt j?
48*j
Find the third derivative of 32*j**2 + 3 + 13*j + 4*j**2 - 13*j - 262*j**3 wrt j.
-1572
Let u be (-4)/7 + (-429)/(-77). What is the third derivative of 10*g**2 + 12*g**5 - 4*g**u - 6*g**5 wrt g?
120*g**2
Let k(y) be the third derivative of -31*y**6/120 + 7*y**5/20 + 7*y**3/6 - 4*y**2 + 29. Find the third derivative of k(x) wrt x.
-186
Let c(x) be the second derivative of -x**9/1890 + 7*x**5/120 - x**4/12 - 5*x. Let g(b) be the third derivative of c(b). What is the derivative of g(j) wrt j?
-32*j**3
Let p(s) be the first derivative of s**7/7 - 446*s**5/5 + s**3/3 - 634*s + 86. What is the third derivative of p(l) wrt l?
120*l**3 - 10704*l
Let g(n) = 65*n**2 - 3*n + 15. Let f(a) = -65*a**2 + 4*a - 15. Let q(z) = 2*f(z) + 3*g(z). What is the second derivative of q(v) wrt v?
130
Let h(p) be the third derivative of p**5/10 - 31*p**4/24 - 193*p**3/2 + 123*p**2. Differentiate h(s) wrt s.
12*s - 31
Let r(a) be the first derivative of 2*a**5/5 + 5*a**4 - a**3 + 4*a + 34. What is the third derivative of r(o) wrt o?
48*o + 120
Let j(v) be the first derivative of 238*v**5/5 + 71*v**3 + v**2 + 274. Find the third derivative of j(c) wrt c.
5712*c
Let m be -3 - 4/(-2) - -3. Suppose 0 = 2*t + m - 8. What is the third derivative of -f**6 + 6*f**2 - 4*f**6 - t*f**6 wrt f?
-960*f**3
Let d be 2/(-7) + -8*4/(-14). Find the second derivative of -6*z - 13*z + 0*z + 3*z - z**d wrt z.
-2
What is the third derivative of 26*l + 9*l**3 - 10*l**3 + 50*l**2 - 80*l**4 - 47*l**2 wrt l?
-1920*l - 6
Suppose 48*m = -3*x + 47*m + 3, -3*m = 9. Let w(z) be the first derivative of -12*z + 0*z**3 + 13 + 0*z**x + 3/4*z**4. Find the first derivative of w(r) wrt r.
9*r**2
Let w(s) = -5*s**3 + 168*s**2 - 196*s. Let x(y) = -y**3 + y**2 - 2*y. Let q(i) = w(i) - 4*x(i). What is the second derivative of q(b) wrt b?
-6*b + 328
Let h(n) = 4*n - 9. Let k be h(3). What is the third derivative of 0*y**2 + 6*y**3 + 16*y**6 + 10*y**2 - 6*y**k wrt y?
1920*y**3
Let d(o) be the third derivative of 0*o**4 + 0*o + 19/3*o**3 + 2/15*o**5 + 0 - 37*o**2. What is the first derivative of d(p) wrt p?
16*p
What is the third derivative of 295*t**3 + 214*t**2 - 45 + 45 + 118*t**2 wrt t?
1770
Let w(y) be the first derivative of y**8/420 + 17*y**6/180 - 14*y**3/3 - 12. Let v(b) be the third derivative of w(b). Find the third derivative of v(t) wrt t.
96*t
Find the third derivative of 13 - 33 + 20 + 305*g**3 - 317*g**2 wrt g.
1830
Suppose 4*c - 16 = -4. What is the third derivative of -12*a**5 - c*a**5 + 3*a**5 - 3*a**2 wrt a?
-720*a**2
Let q(o) = -6*o**5 + 50*o**3 - 223*o**2 + 5*o + 5. Let w(d) = -d**5 + d + 1. Let h(x) = q(x) - 5*w(x). Find the third derivative of h(g) wrt g.
-60*g**2 + 300
Let b be ((-100)/125)/(4/(-230)). What is the third derivative of 11*f**6 - 5*f**5 + 5*f**5 - b*f**2 + 53*f**2 wrt f?
1320*f**3
Let t(v) be the second derivative of -v**5/20 + v**4/4 + v**3/3 - 3*v**2/2 - 4*v. Let s be t(3). What is the first derivative of l - s + 9 + 1 - 4*l wrt l?
-3
Let y(c) be the second derivative of -c**7/840 - 5*c**4/12 - c**3/6 - 3*c. Let a(k) be the second derivative of y(k). Find the first derivative of a(o) wrt o.
-3*o**2
Let o(m) be the first derivative of -m**6/5 - m**4/3 - 4*m + 3. Let q(v) be the first derivative of o(v). What is the third derivative of q(u) wrt u?
-144*u
Find the second derivative of 111*c**2 + 7*c - 10*c - 2*c - 3 wrt c.
222
Let s(z) = 20*z**2 - 3*z + 1. Let o be s(1). Let h = o - 14. Find the second derivative of -4*d**3 + d**3 - 2*d - h*d + 0*d**3 wrt d.
-18*d
Let f be (-6)/(-18) - (-1)/(-3). Suppose 2*o + 2*l + 2 = -0*l, 4*o + 5*l + 9 = f. Differentiate -w + w - 7 + o*w**3 + 2 wrt w.
12*w**2
Let n(u) be the third derivative of u**9/252 + u**7/42 - 9*u**5/5 + 21*u**2. Find the third derivative of n(s) wrt s.
240*s**3 + 120*s
Suppose -4*g + 3*y + 28 = 0, -3*g + 5*y + 24 = 3. What is the first derivative of -11 - 23*j - g*j + 6*j wrt j?
-24
What is the first derivative of 745*d**2 - 162 - 745*d**2 + 171*d**3 - d wrt d?
513*d**2 - 1
Let r = 5 + -3. Differentiate -8 - 4*z**3 - 11 + r + 1 with respect to z.
-12*z**2
Let b(j) = -j - 6. Let t be b(-7). Let i(v) = v - 1. Let m(l) = -19 - 2*l + 3*l - 21 + 33. Let g(d) = t*m(d) - 6*i(d). Differentiate g(a) with respect to a.
-5
Let n(d) = -78*d**5 - 4*d**3 + 376*d + 4. Let o(s) = 79*s**5 + 3*s**3 - 379*s - 3. Let v(z) = -3*n(z) - 4*o(z). What is the second derivative of v(g) wrt g?
-1640*g**3
Suppose 25 - 35 = -2*b. Differentiate -30 + 9*q**2 - b*q**2 - 16*q**2 - 12*q**2 with respect to q.
-48*q
Let x(y) be the second derivative of 3/7*y**7 + 0 + 0*y**4 + 0*y**5 + 0*y**2 + 11/3*y**3 + 0*y**6 + 11*y. Find the second derivative of x(v) wrt v.
360*v**3
Let g(f) = f**3 - 1. Let n(j) = 3*j**3 - 5*j + 94. Let z(d) = -2*g(d) + n(d). Differentiate z(v) with respect to v.
3*v**2 - 5
Let g(f) be the second derivative of -f**7/84 - f**6/20 - 4*f**3/3 - 5*f. Let q(i) be the second derivative of g(i). What is the third derivative of q(u) wrt u?
-60
Let x(w) = 2 + 5*w + w - w**2 + w. Let i be x(7). What is the first derivative of -s - 3 - i*s + 2*s + 4*s wrt s?
3
Let c = 36 + -34. Find the third derivative of -17*w**6 + w**c - 4*w**2 + 26*w**6 - 17*w**6 wrt w.
-960*w**3
What is the first derivative of -91 + 15*y**3 - 92*y**3 + 69*y**3 wrt y?
-24*y**2
Let r(j) = -j**3 + 5*j**2 - 4*j + 2. Let a be r(3). Let q = -6 + a. Find the second derivative of -c - 3*c**2 - q*c + 2*c**2 wrt c.
-2
Suppose -3*j + 5*j - 66 = 0. Let g be j/(-55) - 56/(-10). What is the derivative of 6 + g*x - 12*x + 2*x wrt x?
-5
Let n(z) = -6*z + 1. Let i be n(-1). Let r = i + -4. Differentiate -t**2 + r*t**4 + t**2 + 0*t**4 - 5 with respect to t.
12*t**3
Let t(m) be the second derivative of -6*m**3 + 0 + 52*m - 33/2*m**2. Differentiate t(o) with respect to o.
-36
Let j(i) be the first derivative of -24 + 0*i - 17/2*i**2 + 7/6*i**6 + 0*i**5 + 0*i**3 + 0*i**4. Find the second derivative of j(p) wrt p.
140*p**3
Let s be 3/6 + 30/4. Let x = s + -6. What is the first derivative of 2*u + 0 - 3*u - x wrt u?
-1
Let m(w) be the second derivative of -2*w**7/21 - w**4/4 - 7*w**3/2 - w**2/2 + 7*w. What is the second derivative of m(g) wrt g?
-80*g**3 - 6
Let x(y) be the first derivative of 55*y**4/4 + y**3/3 + 4*y**2 - 57. Find the second derivative of x(h) wrt h.
330*h + 2
Let d be -3 - -7 - (2 - 0). Suppose -g = d - 5. Differentiate -5*k + 1 - g - 5*k + 0 wrt k.
-10
Let t be 14/35 - 96/(-10). Find the third derivative of 13*s**5 + 18*s**2 - t*s**2 + 3*s**2 + 39*s**2 wrt s.
780*s**2
Let x = -8 - -16. Suppose -b - x = -5*b. What is the third derivative of h**4 + b*h**2 + 6*h**2 - 4*h**2 wrt h?
24*h
Let d(h) be the first derivative of -h**8/48 + h**4/3 + 13*h**2/2 + 8. Let b(k) be the second derivative of d(k). Find the second derivative of b(l) wrt l.
-140*l**3
Let u(h) be the third derivative of h**8/168 + 2*h**7/105 + 3*h**5/20 + h**4/12 + 31*h**2. What is the third derivative of u(t) wrt t?
120*t**2 + 96*t
Let b(m) = -m**2 + m - 3. Let j(n) = 219*n**3 - 16*n**2 - 5*n - 6. Let l(u) = -2*b(u) +