at is the derivative of b(f) wrt f?
-114*f**2
Let q(y) = y**3 - 8*y**2 + 2*y - 3. Let t be q(8). Find the second derivative of -6*r + 5*r - t*r**4 + 16*r**4 wrt r.
36*r**2
Let s = -18 - -19. Let u be s/(-2)*(13 - 17). Find the third derivative of u*d**3 + 12*d**3 + 6*d**2 - d**3 - 12*d**2 wrt d.
78
What is the third derivative of 148*c**2 - 4*c**4 + 0*c**6 + 4 - 79*c**2 - 7*c**6 - 72*c**2 wrt c?
-840*c**3 - 96*c
Let p be (6/(2 + -4))/(-1). Let l = 8 - p. Differentiate l*y - 6*y + y - 2 - 2*y**3 with respect to y.
-6*y**2
Let r be (-3 + (-24)/(-9))*-6. Let u(t) be the first derivative of -10 + 13 + r*t - 3*t - t**2. What is the first derivative of u(l) wrt l?
-2
Let o(r) be the first derivative of 5*r**6/3 - 8*r**3/3 - 9*r**2/2 + 117. What is the second derivative of o(f) wrt f?
200*f**3 - 16
Let t = 0 + 0. Let g be -2 - (-3 - (2 - 1)). What is the second derivative of o + g*o + t*o**4 + 3*o + 6*o**4 wrt o?
72*o**2
Let q = -95 - -101. Let i(m) be the third derivative of -m**2 + 0*m + 0 + 0*m**3 + 0*m**5 - 1/24*m**q - 1/8*m**4. Find the second derivative of i(g) wrt g.
-30*g
Let w(b) = b**3 - 7*b**2 + b - 3. Let p be w(7). What is the second derivative of -2*d - 62 + p*d**4 - 5*d + 62 wrt d?
48*d**2
Suppose 6*f = -4*f + 30. What is the third derivative of -14*s**2 + 57*s**3 - 15*s**3 + 7*s**f + 58*s**2 wrt s?
294
Let s(m) be the first derivative of -5/6*m**6 + 0*m**4 - 10 + 4*m**2 + 0*m**3 + 0*m**5 + 0*m. Find the second derivative of s(d) wrt d.
-100*d**3
Let g(w) = 1. Let h(p) = 241*p**2 + 192*p - 6. Let a(o) = 6*g(o) + h(o). Find the second derivative of a(j) wrt j.
482
Let c(k) be the second derivative of -27*k**3/2 - 155*k**2/2 - 2*k + 51. Find the first derivative of c(d) wrt d.
-81
Suppose -y = 2*y - 15. Find the second derivative of -4*c**3 - 8*c**3 + 0*c + 7*c - y*c**3 wrt c.
-102*c
Let o(p) = -303*p - 283. Let q(l) = 608*l + 562. Let w(g) = 5*o(g) + 3*q(g). What is the derivative of w(x) wrt x?
309
Suppose 21*o - 13 = -13. Let q(i) be the second derivative of 1/2*i**2 + o + 2/3*i**3 + 7*i. What is the first derivative of q(u) wrt u?
4
Let a(m) be the first derivative of 0*m**4 - 4*m**5 + 0*m + 5 - 10/3*m**3 + 0*m**2. Find the third derivative of a(t) wrt t.
-480*t
Let j(v) = 4*v - 9. Let f be 4 + (3 - (-24)/(-4)). Let l(o) = o. Let b(m) = f*j(m) - 3*l(m). What is the first derivative of b(w) wrt w?
1
Let g(r) be the third derivative of -1/15*r**5 + 1/6*r**3 + 0*r**4 + 0*r - 13*r**2 + 0. What is the derivative of g(s) wrt s?
-8*s
Let f(c) = 623*c**4 + 8*c**2 + 16*c - 204. Let n(r) = 208*r**4 + 3*r**2 + 6*r - 67. Let g(v) = 3*f(v) - 8*n(v). What is the derivative of g(t) wrt t?
820*t**3
Let j(v) = -v**2 - 5*v. Let c be j(-4). Find the third derivative of 2*k**2 + 317*k**4 - 14*k**2 - 314*k**c wrt k.
72*k
Let c(i) = 8*i - 19. Let v be c(5). What is the second derivative of 2167 - 2167 - 22*j**2 - v*j wrt j?
-44
What is the second derivative of 94 - 320*f**2 + 175 - 130*f + 132*f wrt f?
-640
Let d = -235 - -430. Suppose h + 4*h - d = 0. Find the second derivative of 3*t**3 + h - 39 - t**3 - 2*t wrt t.
12*t
Let s(h) = h**2 + h + 9. Let w be s(6). Find the second derivative of -85*v**2 + 28*v + w*v**2 + 54*v**2 wrt v.
40
Let o(y) = 2*y**4 + y**2 + y. Let q(g) = -75*g**6 + 12*g**4 - 112*g**2 + 6*g. Let f(t) = -6*o(t) + q(t). What is the third derivative of f(v) wrt v?
-9000*v**3
Let k be (2/10)/(168/14). Let z(g) be the third derivative of 0*g**3 + 0*g + 0 - 5*g**2 - k*g**6 + 1/15*g**5 + 0*g**4. Find the third derivative of z(o) wrt o.
-12
What is the second derivative of 37*x**2 + 32*x**2 + 128*x + 42*x**2 + 47*x**2 + 2 wrt x?
316
Suppose 4*a - 3*a - 3 = 0. Differentiate -10 - 7*h**a - 12 - 9*h**3 + 9 with respect to h.
-48*h**2
Let l(h) = h - 2. Let t be l(-2). Let n be t/(-12)*9 + 3. Find the third derivative of -12*x**2 - x - n*x + 7*x + 6*x**5 wrt x.
360*x**2
Let c be (9/(-16))/(13/(-53 + 1)). Let p(x) be the first derivative of -c*x**4 + 0*x**3 - 1 + 0*x + 5/2*x**2. Find the second derivative of p(r) wrt r.
-54*r
Let a(b) = 646*b**4 + 17*b - 680. Let p(j) = -215*j**4 - 6*j + 226. Let v(t) = 6*a(t) + 17*p(t). What is the first derivative of v(z) wrt z?
884*z**3
Let f = 67 - 60. What is the second derivative of 18*x**4 - 9*x - f*x**2 + 7*x**2 wrt x?
216*x**2
Let c(p) = 331*p + 146. Let d(t) = 657*t + 291. Let f(n) = -7*c(n) + 4*d(n). What is the first derivative of f(u) wrt u?
311
Let n = -177 + 328. What is the second derivative of -m**4 + n*m**5 - 14*m - 125*m**5 + m**4 wrt m?
520*m**3
Let r(i) be the second derivative of -53*i**8/28 - 25*i**4/6 - 54*i. Find the third derivative of r(h) wrt h.
-12720*h**3
Let f(m) = m**3 + 5*m**2 - 6*m + 2. Let k be f(-6). What is the second derivative of 19*c**5 - 36*c**5 - k*c - c + c wrt c?
-340*c**3
Suppose 3*s - 137 = -u, 2*u + 3*u = 10. Suppose 43 = 4*f - 3*o, 2*f - 2*o = -3*f + s. What is the first derivative of -5 - k + 5*k + f wrt k?
4
Let v(b) = -1260*b**2 - 236*b. Let g(m) = 316*m**2 + 59*m. Let d(u) = -9*g(u) - 2*v(u). What is the second derivative of d(t) wrt t?
-648
Suppose -409 - 493 = -11*m. Find the second derivative of -14*v**3 - 20*v + 82 - m wrt v.
-84*v
Let q(u) be the first derivative of -53*u**3/3 + 7*u**2 - 87. Find the second derivative of q(n) wrt n.
-106
What is the first derivative of 333*b**2 + 29*b**4 + 211 + 4*b**4 - 335*b**2 wrt b?
132*b**3 - 4*b
Let l(z) be the second derivative of 13*z**4/2 + z**3/3 + 103*z**2/2 - 4*z + 23. Find the second derivative of l(t) wrt t.
156
Let k = 108/161 + -2/483. Let s(a) be the first derivative of k*a**3 + 0*a + 0*a**2 + 5 - a**4. What is the third derivative of s(o) wrt o?
-24
What is the derivative of 148*x**3 - 143 + 18*x**2 - 18*x**2 wrt x?
444*x**2
Let k(n) be the first derivative of 6*n**5/5 + 17*n**2/2 - 165*n - 242. Find the first derivative of k(i) wrt i.
24*i**3 + 17
Let m be (-160)/24 - 4/(-6). Let n(c) = 6*c - 4. Let h(b) = -24*b + 16. Let d(t) = m*h(t) - 26*n(t). Differentiate d(z) wrt z.
-12
Let q = 2757 + -2750. Let z(j) be the second derivative of -q*j**2 - 1/3*j**3 - 7*j + 0. Differentiate z(c) with respect to c.
-2
Suppose -105 = 12*n - 17*n. Find the third derivative of 37*d**2 - n*d**3 + 43*d**3 - 69*d**3 wrt d.
-282
Let v(s) = -s**3 - 4*s**2 - 5*s - 4. Let d be v(-3). Suppose -46 = -3*n - 0*n + d*u, -2 = u. Differentiate 4 + n*b**3 - 5 - 19*b**3 with respect to b.
-15*b**2
Suppose 5*c - o = 9*c - 32, -4*o = -16. Differentiate c - 30*m**3 + 19*m**3 + 4 - 4 with respect to m.
-33*m**2
Let y(g) be the first derivative of -119*g**5/5 + 57*g + 41. What is the first derivative of y(r) wrt r?
-476*r**3
Let o(a) = -53*a**3 - 15*a**2 + 34*a - 3. Let p(l) = 160*l**3 + 41*l**2 - 102*l + 8. Let h(g) = -8*o(g) - 3*p(g). Find the second derivative of h(m) wrt m.
-336*m - 6
Let a(b) be the second derivative of 0*b**4 - 11/20*b**5 + 0 - 11*b + 1/2*b**2 + 0*b**3. Find the first derivative of a(v) wrt v.
-33*v**2
Suppose 2*z - 5 + 1 = 0. Find the second derivative of 83*g + 41*g**z + 77*g - 165*g wrt g.
82
Let l(f) = -f**6 + 3*f**5 + f**4 - f**2. Let o(n) = 2*n**6 - 19*n**5 - 6*n**4 + 7*n**2 - 3*n. Let t(i) = 6*l(i) + o(i). Find the third derivative of t(s) wrt s.
-480*s**3 - 60*s**2
Suppose 4*z - s - 62 = 0, -4*z - 4*s = -3*z - 7. Find the first derivative of z*y + y - 9 + 3 + 0 wrt y.
16
Let w(a) = 127*a**4 - 79*a**2 - 4*a. Let p(q) = 256*q**4 - 158*q**2 - 9*q. Let h(s) = 4*p(s) - 9*w(s). What is the third derivative of h(m) wrt m?
-2856*m
Let l(h) = 4*h + 1 - 3*h + 1 + 0*h. Let f(q) = -6*q - 10. Let v(w) = -3*f(w) - 16*l(w). What is the first derivative of v(j) wrt j?
2
Let x(q) be the third derivative of 1/2*q**4 + 0*q - 1/5*q**5 + 0 + q**2 + 0*q**3. Find the second derivative of x(k) wrt k.
-24
Let m = 839/3336 - 6/139. Let a(f) be the third derivative of -2/3*f**3 + 0*f + 0 + m*f**4 - 2*f**2. Find the first derivative of a(b) wrt b.
5
Let k(c) = -72*c + 25. Let n(w) = -2*w - 1. Let y(v) = -k(v) + 4*n(v). Differentiate y(x) wrt x.
64
Let l(i) = 38*i**3 + 5*i**2 - 3*i + 10. Let f(x) = -41*x**3 - 4*x**2 + 2*x - 11. Let q(a) = -5*f(a) - 4*l(a). Differentiate q(p) with respect to p.
159*p**2 + 2
Suppose 8 + 10 = 4*a - g, 3*g = 6. Find the first derivative of 32*y**4 + 11 - 7*y**4 + 3*y**4 + a wrt y.
112*y**3
Let s be 4*(-4 - -5)