3 with respect to b.
-12*b**3 - 31
Let k(x) = 6*x - 12 + 4 - 28*x - 5. Let z(q) = -q. Let a(y) = k(y) - 3*z(y). Differentiate a(c) wrt c.
-19
Suppose -12 = -3*d + 3*u, 3*u - 23 = -3*d - d. What is the third derivative of -31*q**2 + d*q**2 - 37*q**3 + 7*q**2 - 22*q**2 wrt q?
-222
Let a(o) = 763*o**3 - 33*o**2 - 22*o + 1149. Let x(j) = 191*j**3 - 9*j**2 - 6*j + 287. Let f(w) = 3*a(w) - 11*x(w). Find the first derivative of f(t) wrt t.
564*t**2
Let z = -16 - -22. Let c(w) = w**3 - 5*w**2 - 7*w + 9. Let f be c(z). Differentiate -5*j**3 - 2*j**3 - 3 - 5 + 0*j**f with respect to j.
-21*j**2
Let k(n) = -460*n**3 - 4*n**2 - 265*n - 8. Let q(v) = -459*v**3 - 5*v**2 - 263*v - 10. Let d(i) = -5*k(i) + 4*q(i). What is the second derivative of d(p) wrt p?
2784*p
Let g(m) = m**3 + m**2 - m. Let s(p) = 14*p**3 - 26*p**2 + p. Let l(w) = 2*g(w) + s(w). What is the third derivative of l(r) wrt r?
96
Let t(r) = 14*r**3 - 3*r**2 + 3*r - 17. Let x(i) = 27*i**3 - i - 1 - 32 + 6*i - 5*i**2. Let p(j) = 5*t(j) - 3*x(j). Find the first derivative of p(m) wrt m.
-33*m**2
Let a be (2 + 42/(-18))/((-2)/12). What is the second derivative of -w + a*w + 2*w - 23*w**4 + 4*w**4 wrt w?
-228*w**2
Let l(a) = 2*a**2 + 3*a - 4. Let r = 20 - 24. Let b be l(r). Find the first derivative of -5 - 2 + 3*j**2 + b wrt j.
6*j
What is the derivative of -4*k**2 + 93 - 147 + 9*k**2 - 78*k**2 wrt k?
-146*k
Let z(x) = 180*x**3 + 3*x**2 - 391*x - 10. Let w(r) = r**3 + r**2 - r - 2. Let g(a) = -4*w(a) + z(a). What is the second derivative of g(t) wrt t?
1056*t - 2
Let t(z) = -16*z + 3*z - 4 + 12*z + 2*z**2. Let h be t(3). Differentiate -4 - 3*v**3 + h*v**3 + 2 with respect to v.
24*v**2
Suppose 9 = -3*h + 24, 3*q + 4*h - 44 = 0. Find the third derivative of -5*d + 5*d + 159*d**2 - 172*d**2 + q*d**4 wrt d.
192*d
Let m(g) = -119*g + 14. Let l(z) = -119*z + 15. Let w(r) = 4*l(r) - 3*m(r). Find the first derivative of w(s) wrt s.
-119
Suppose -155*x + 154*x = -2. Suppose 1 - 5 = -2*d. What is the third derivative of 245 - 245 + 5*t**x + d*t**5 wrt t?
120*t**2
Let x be (16/26)/(226/1469). Let q(o) be the second derivative of 0*o**3 - 11/20*o**5 + 0*o**2 + 5/12*o**x - 8*o + 0. Find the third derivative of q(y) wrt y.
-66
Let q(k) = k**3 + 5*k**2 - 82*k - 179. Let p(i) = -3*i**3 - 18*i**2 + 288*i + 627. Let j(a) = 5*p(a) + 18*q(a). Differentiate j(r) wrt r.
9*r**2 - 36
Let n(s) be the second derivative of 37*s**8/28 + s**6/30 + 26*s**4/3 + 89*s. What is the third derivative of n(q) wrt q?
8880*q**3 + 24*q
Let x(i) be the third derivative of 8*i**9/63 + i**5/30 + 11*i**4/24 - 134*i**2. What is the third derivative of x(o) wrt o?
7680*o**3
What is the third derivative of 264 + 2*o**2 - 196 + 3*o**4 - 57*o**5 - 3*o**4 wrt o?
-3420*o**2
Suppose -3*t + 4 = 5*o, -o = 3*t + 3 - 11. Suppose m - 3 = 0, 24 = -0*x + t*x + 3*m. What is the second derivative of -27 + 3*k + 27 - 7*k + 6*k**x wrt k?
120*k**3
Let i(k) be the third derivative of -19*k**8/84 - k**4/8 + 17*k**3/3 - 272*k**2. Find the second derivative of i(x) wrt x.
-1520*x**3
Let x = 90 - -43. Find the second derivative of -x*d**5 + 155*d**5 + 2*d - 6*d wrt d.
440*d**3
Let r(m) be the first derivative of 128*m**6/3 - 65*m**3/3 - 133. Find the third derivative of r(c) wrt c.
15360*c**2
Let y(v) = 4*v**3 - 10*v**3 - 6 + v**3. Let p(g) = -5*g**3 - 5. Let k(m) = -3*p(m) + 4*y(m). What is the derivative of k(h) wrt h?
-15*h**2
Suppose 0*u + 5*o - 20 = -u, -4*o = 5*u - 16. What is the second derivative of 19*v + 0*v**2 + 8*v**4 + u*v**2 + 2*v wrt v?
96*v**2
Let u(a) be the first derivative of 2*a**4 + a**3/3 + 196*a**2 - 25. Find the second derivative of u(t) wrt t.
48*t + 2
Let m(w) = w**3 - w**2 - w + 1. Let h(v) = 26*v**3 - 4*v**2 - 4*v + 150. Let c(n) = -h(n) + 4*m(n). Differentiate c(s) with respect to s.
-66*s**2
Let x be 8/20*(12 + -7). Let b(v) be the first derivative of -4/5*v**5 - 3*v + 0*v**x + 0*v**3 + 3 + 0*v**4. Differentiate b(r) wrt r.
-16*r**3
Let d = -7/12 + 11/15. Let i(u) be the second derivative of -7/12*u**4 - 2*u + 0*u**2 + 0*u**3 - d*u**5 + 0. What is the third derivative of i(b) wrt b?
-18
Let q(g) be the third derivative of 53*g**8/56 + 7*g**5/12 + 3*g**2 - 10*g. Find the third derivative of q(x) wrt x.
19080*x**2
Let h(v) = v**4 + 2*v**3 + 2*v + 1. Let c(a) = 34*a**4 + 14*a**3 + 6*a**2 + 12*a + 3. Let t(w) = c(w) - 6*h(w). What is the third derivative of t(k) wrt k?
672*k + 12
Let s(v) = 3*v**3 + v**2 + v - 2. Let r be s(1). Suppose -4*o + 11 = y, -4*o - r = -0*y - y. Differentiate -2*c**2 - 2 - y*c**2 + 0 + 3*c**2 wrt c.
-12*c
Let w = 256 - 256. Let k(c) be the third derivative of 0 + 1/10*c**5 + w*c**4 - 4*c**2 + 0*c - 2/3*c**3. Differentiate k(b) wrt b.
12*b
Let k(t) be the second derivative of -7*t**6/6 - 89*t**4/4 - t + 21. Find the third derivative of k(a) wrt a.
-840*a
Let q(d) = 27*d + 2. Let c be q(1). Suppose -16 = -3*h + c. Find the third derivative of -4*k**5 + 15 - h - 4*k**2 wrt k.
-240*k**2
Suppose 0 = 5*h - 10*h + 10. Suppose h*y + 0*y - 4 = 0. Find the third derivative of y*b**2 - 25*b**4 - b**5 + 25*b**4 wrt b.
-60*b**2
Let w be (-44)/33*1*-3. What is the second derivative of -3*s + 6*s**w + 5*s - 8*s wrt s?
72*s**2
Let w(j) be the third derivative of -85*j**8/336 - 121*j**4/24 + j**2 - 43*j. Find the second derivative of w(o) wrt o.
-1700*o**3
Let p(t) be the third derivative of t**7/210 - 21*t**6/40 - t**4/24 + 18*t**2 + 1. Find the second derivative of p(z) wrt z.
12*z**2 - 378*z
Let a be (-1 - -2)/(1/15). What is the second derivative of 5*t + t**3 + 2*t**3 + 2*t + a*t**3 wrt t?
108*t
Let v(d) be the second derivative of 81*d**6/10 - 172*d**2 - 83*d + 1. What is the first derivative of v(l) wrt l?
972*l**3
Find the second derivative of -120*v**4 - 3 - 23*v - 10*v + 54*v wrt v.
-1440*v**2
Let f(x) = -x**4 + x**3 - x + 1. Let k(j) = 370*j**4 - 5*j**3 + 5*j - 168. Let o(b) = 10*f(b) + 2*k(b). Differentiate o(y) wrt y.
2920*y**3
Differentiate -102 - 74*q**4 + 184*q**2 - 184*q**2 + 11*q**4 wrt q.
-252*q**3
Let q(a) = 2*a - 1. Let u be q(8). Suppose 7*i - u = 2*i. Find the second derivative of 3*h - 7*h - 4*h**3 - 4*h**i + 4*h**3 wrt h.
-24*h
Let k(q) be the second derivative of 38*q - q**2 + 0*q**5 + q**3 - 1/12*q**4 + 3/10*q**6 + 0. What is the second derivative of k(y) wrt y?
108*y**2 - 2
Let v(b) be the second derivative of 0*b**7 + 0 + 13/12*b**4 - 28*b - 3/56*b**8 + 0*b**3 + 0*b**2 + 0*b**6 + 0*b**5. Find the third derivative of v(t) wrt t.
-360*t**3
What is the third derivative of 359*a**3 - 119*a**3 - a**2 + 60*a + 36*a wrt a?
1440
Let m(h) be the second derivative of -199*h**5/10 - 236*h**3/3 + 2*h + 8. What is the second derivative of m(g) wrt g?
-2388*g
Let b(c) be the first derivative of -4*c**7/7 + c**5/5 + 86*c**3/3 + 140. What is the third derivative of b(w) wrt w?
-480*w**3 + 24*w
Suppose 48 = -k + 9*k. Let a(w) be the second derivative of -1/3*w**4 + 0*w**2 + 0*w**3 + 0 + 7*w + 1/6*w**k + 0*w**5. Find the third derivative of a(y) wrt y.
120*y
Let r(x) be the second derivative of 21*x + 0*x**3 + 0*x**2 + 5/3*x**4 + 7/30*x**6 + 0 + 0*x**5. What is the third derivative of r(o) wrt o?
168*o
Suppose -5*n + 206 = -3*r, -n - 4*r + 6*r + 44 = 0. Differentiate -h**3 - 159 - n*h**4 + h**3 + 200 with respect to h.
-160*h**3
Let q(n) be the second derivative of n**5/10 - 19*n**2/2 - 89*n. What is the derivative of q(k) wrt k?
6*k**2
Let r(t) = 11*t + 9. Let k(c) = -11*c - 8. Let g(j) = 6*k(j) + 7*r(j). Let q(p) = -11*p - 14. Let d(h) = -2*g(h) - 3*q(h). Differentiate d(s) with respect to s.
11
Let m(b) be the third derivative of 0 + 9*b**2 - 2*b**3 + 0*b**5 - 3/40*b**6 + 0*b + 0*b**4. Differentiate m(j) wrt j.
-27*j**2
Let f(x) be the first derivative of 7*x**6/360 - x**5/15 + 3*x**3 - 10. Let v(q) be the third derivative of f(q). What is the second derivative of v(m) wrt m?
14
Let b(r) = 86*r + 4 - 10*r**2 - 39*r**2 + 6*r**2 - 53*r. Let a(g) = 86*g**2 - 66*g - 7. Let s(w) = 4*a(w) + 7*b(w). Find the second derivative of s(h) wrt h.
86
Let h(k) = 7*k - 3*k**3 + k**2 - 2 - 8*k + 2 - 1. Let c be h(-1). What is the second derivative of -3*u - c*u**3 + 2 + 1 - 3 wrt u?
-24*u
Suppose -y - 2*c = 8, 4*y + c = -4 + 7. What is the second derivative of 0*r**2 - y*r - 8*r + r**2 wrt r?
2
Let d be ((-2)/(-6))/(4/(-24)).