24
Let q(f) = -1054*f**3 + 12*f - 167. Let w(s) = s**3 + 3*s - 2. Let g(c) = -2*q(c) + 8*w(c). What is the derivative of g(z) wrt z?
6348*z**2
Let a(t) be the second derivative of 1931*t**6/30 + 821*t**3/6 + 1252*t. Find the second derivative of a(x) wrt x.
23172*x**2
What is the second derivative of -5*p**5 - 6 - 43*p - 6*p + 17*p**5 - 10*p**4 + 0 + 3 wrt p?
240*p**3 - 120*p**2
Let d(u) = 3*u**2 + u. Let s be d(1). Let w = 31 + -27. What is the third derivative of -14*z**s + 3*z**w + 30*z**4 + 9*z**2 wrt z?
456*z
Differentiate 817 + 323979*c - 323774*c - 146 wrt c.
205
Let u(i) = -437*i + 248. Let b(z) = 148 + 30 - 217*z - 54. Let k(g) = -9*b(g) + 4*u(g). What is the derivative of k(r) wrt r?
205
Let q be (2/(-4))/((-1)/4). Suppose 0 = q*w - 4*z - 24, w + 19 = -5*z - 4. Differentiate -13 - 33*t**2 + 34*t**w - 6 with respect to t.
2*t
Let j(g) be the third derivative of -4*g**2 + 0*g**3 + 25/168*g**8 + 0*g**7 - 3 - 11/30*g**5 + 0*g**4 + 0*g + 0*g**6. Find the third derivative of j(q) wrt q.
3000*q**2
What is the second derivative of -2*a**2 + 3*a**5 + 426*a - 2 + 6*a**2 - 34*a**3 + 312*a + 561*a - 2059*a wrt a?
60*a**3 - 204*a + 8
Let n(p) be the first derivative of -1069*p**3/3 - 5*p**2/2 - p + 581. What is the second derivative of n(j) wrt j?
-2138
Suppose 11*g = 13 + 20. Find the second derivative of -8870*p - 23*p**5 + 2*p**4 - g*p**4 + 8812*p wrt p.
-460*p**3 - 12*p**2
Let r(g) be the second derivative of 106*g**6 + 2183*g**2/2 - 1088*g. Differentiate r(l) with respect to l.
12720*l**3
Let d be 1*-2*(-12)/8. Let h(l) be the first derivative of 44*l + 33*l**3 + 11*l**3 - 31 - 30*l**d. Differentiate h(b) wrt b.
84*b
Let w be 2/9 - (-215)/45*217. Differentiate 1102*a + 2 - 5 - w*a wrt a.
65
Let v(a) = 2634*a**2 + 9*a - 19. Let n(i) = -7902*i**2 - 26*i + 55. Let r(o) = -4*n(o) - 11*v(o). Find the second derivative of r(m) wrt m.
5268
Suppose 4*h - 32 = 5*g, -40 = 3*h - 8*h + 5*g. What is the first derivative of -20 - 2*b + 6*b**2 - h - 20 + 10 wrt b?
12*b - 2
Let k(a) = 752*a**2 - 1469*a + 4. Let m(x) = -1505*x**2 + 2933*x - 7. Let i(y) = -7*k(y) - 4*m(y). What is the second derivative of i(d) wrt d?
1512
Let y(j) be the third derivative of -7*j**6/120 + 17*j**5/20 - j**4/24 - 775*j**3/6 + 50*j**2 + 2*j + 53. What is the second derivative of y(g) wrt g?
-42*g + 102
Let w(v) = v**3 + 2*v**2 - 8*v + 23. Let x be w(7). What is the second derivative of x*c + 2 + 410*c - 817*c + 31 - 86*c**2 wrt c?
-172
What is the second derivative of 252*j - 526*j + 488*j**3 - 545 + 272*j wrt j?
2928*j
Find the second derivative of -3834 - 1705*o**4 + 3834 + 2192*o wrt o.
-20460*o**2
Let o = 73 - 71. Differentiate x**o - 18*x + 48*x + 2*x**2 + 50 wrt x.
6*x + 30
What is the first derivative of -12244 + 917*s + 916*s + 920*s**3 - 1834*s wrt s?
2760*s**2 - 1
Let n(s) = 162*s**3 - 1615*s**2 + 18*s + 6. Let o(x) = -x**2 + 3*x + 1. Let a(g) = -n(g) + 6*o(g). Find the third derivative of a(l) wrt l.
-972
Suppose 26 = 3*p + 2. Let l(c) = -55 - p*c + 27*c + 0*c. Let d(u) = 6*u - 18. Let x(i) = 7*d(i) - 2*l(i). Differentiate x(z) wrt z.
4
Differentiate -727*k**2 - 124 - 1142 - 1419*k**4 + 727*k**2 + 309 wrt k.
-5676*k**3
Let r(n) = -23*n**3 - n**2 - 4*n - 8. Let m be r(-2). Find the second derivative of 9*f**5 + 261*f**4 - 281 - 11*f**5 - m*f + 281 wrt f.
-40*f**3 + 3132*f**2
Let v(o) = 860 + 846 - 1736 + 11*o**2. Let u(l) = -l - 1. Let q be u(-2). Let s(i) = i**2 - 1. Let f(a) = q*v(a) - 2*s(a). Differentiate f(y) wrt y.
18*y
Suppose -r - 4*f + 46 = 0, 2*f = -4*r + r + 158. What is the second derivative of 263 + g + r*g**3 - 303 + g - g wrt g?
324*g
Let x(r) be the second derivative of -83*r**4/2 + 265*r**2 + 332*r. Differentiate x(z) with respect to z.
-996*z
Let g(z) = -26*z + 1. Let a(v) = 2316*v - 624. Let o(b) = a(b) + 3*g(b). What is the first derivative of o(x) wrt x?
2238
What is the first derivative of -1740*l - 1693*l + 6236*l - 1521*l - 1107 - 1572*l wrt l?
-290
Find the second derivative of 1 - 1 - 150*n**2 + 182*n - 6*n - 2 + 77*n + 2*n**3 wrt n.
12*n - 300
Find the third derivative of -201389*m**3 - 4100*m**2 + 198747*m**3 - 4849*m**2 wrt m.
-15852
Let s(n) be the third derivative of 89/24*n**4 + n - 57*n**2 + 0*n**3 - 1/120*n**6 - 1/60*n**5 + 0. What is the second derivative of s(v) wrt v?
-6*v - 2
Let n be 3/2*102/9. Suppose 3*v + 3*z - 4 = n, 4*v + z = 25. Find the third derivative of -11*x**2 + 0 - v*x**3 - 5*x**2 + 0 wrt x.
-36
Let u(y) be the first derivative of -37/2*y**2 + 0*y**3 - y + 34/5*y**5 + 0*y**4 + 41. What is the second derivative of u(i) wrt i?
408*i**2
Let v(u) = u**3 - 9*u**2 - 1. Let y(l) = -6*l**3 + 27*l**2 - 13*l + 1054. Let g(s) = -3*v(s) - y(s). Differentiate g(r) wrt r.
9*r**2 + 13
Let k(a) = 2 + 32*a - 47*a - 74*a - 80*a. Let i be k(-2). Find the second derivative of -38*z - 379*z**3 + i*z**3 + 3*z wrt z.
-234*z
Find the second derivative of -47*d - 65738*d**2 + 32957*d**2 - 9 + 32901*d**2 wrt d.
240
Let t be -4*(-3)/(-8)*-10. Differentiate 12*r**2 + 57*r**2 + t*r**2 + 20 with respect to r.
168*r
Let n(w) be the third derivative of 1579*w**7/210 - 505*w**4/24 - 3*w**2 - 10. What is the second derivative of n(d) wrt d?
18948*d**2
Suppose -13*i + 67*i = 108. Let d(o) be the second derivative of -10*o + 0 + 1/6*o**3 - 11/12*o**4 + 0*o**i. What is the second derivative of d(t) wrt t?
-22
Let q(w) be the first derivative of 0*w**4 - 21*w**7 + 236 + 217/3*w**3 + 0*w + 0*w**6 + 0*w**2 + 0*w**5. What is the third derivative of q(t) wrt t?
-17640*t**3
Let c(u) = 17*u - 8*u + 62*u**2 + 13 - 9*u. Let g(b) = -29*b + 26*b**2 + 29*b + 9 + 15*b**2. Let t(l) = -5*c(l) + 7*g(l). Differentiate t(i) with respect to i.
-46*i
Let v(q) be the first derivative of 4712*q**5/5 + 3364*q**2 + 4832. Find the second derivative of v(w) wrt w.
56544*w**2
Let j(y) be the third derivative of 5*y**8/336 + 171*y**6/40 + 797*y**4/3 - 70*y**2 - 7*y. What is the second derivative of j(m) wrt m?
100*m**3 + 3078*m
Let g(p) be the first derivative of 2518*p**3/3 + 117*p + 1311. What is the first derivative of g(w) wrt w?
5036*w
Suppose -3*x = 0, -26 = -r + 2*x + 19. Find the third derivative of -r*t + 2*t**2 - 52*t + 20*t + 28*t**5 wrt t.
1680*t**2
Find the second derivative of -7*s - 1816*s**5 + 3309 - 1068 - 1064 - 1006 wrt s.
-36320*s**3
Let v(g) = 6328*g**3 + 30*g**2 - 5*g + 9. Let k(o) = 3167*o**3 + 14*o**2 - 5*o + 4. Let w(t) = -9*k(t) + 4*v(t). What is the third derivative of w(h) wrt h?
-19146
Let o = 2097 + -1334. Let f(q) = 170*q + 852. Let p be f(-5). Find the third derivative of -1 - o*n**5 + 7*n**p + 743*n**5 + 1 wrt n.
-1200*n**2
Let l = 15 + -3. Let t be 3/(2*l/16). Find the third derivative of -2*y**t + 5*y**2 - 52*y**4 + 38*y**4 wrt y.
-336*y
Let i = -93 - -99. Suppose -f = 5*w - 9, 5*w - i*w = -2*f + 7. What is the third derivative of 2*t**5 - f*t + 38*t**2 + 4*t + 4*t**5 wrt t?
360*t**2
Let m(l) = -2*l**3 + 2*l**2 - 2*l - 1. Let h(p) = -319*p**3 + 10*p**2 - 10*p + 1244. Let x(b) = h(b) - 5*m(b). Find the first derivative of x(f) wrt f.
-927*f**2
Let g(z) be the first derivative of 2057*z**2/2 - 2035*z + 1539. Find the first derivative of g(h) wrt h.
2057
Let w(u) be the second derivative of 14031*u**5/20 + 6021*u**2/2 - 8*u - 395. Find the first derivative of w(n) wrt n.
42093*n**2
Let a(i) = -163*i**3 - i**2 - 8*i - 6599. Let m(d) = 9*d**3 - 2*d**2 - 2*d - 1. Let q(x) = a(x) - 4*m(x). Find the first derivative of q(w) wrt w.
-597*w**2 + 14*w
Suppose 2*s + 33 = 5*s. Let j = 0 + s. Find the second derivative of -25*a**5 - a + 16*a + j*a**5 + 17*a**5 wrt a.
60*a**3
Let f(x) be the first derivative of -13*x**2 + 0*x + 0*x**5 + 0*x**4 + 2/3*x**3 + x**6 + 24. What is the second derivative of f(p) wrt p?
120*p**3 + 4
Suppose 5*f + 10 = i + 4*i, -2*i - 3*f = -14. Find the second derivative of 43*d**i + 30*d**5 + 3*d - 2 - 43*d**4 - 21*d wrt d.
600*d**3
Suppose -23*o + 113 = -48. What is the second derivative of o*z**2 - 6*z**2 + 5*z + 0*z**2 + 32*z**2 - 1 wrt z?
66
Let u(v) = 1520*v**5 - 23*v**4 - 2*v**3 + 611*v**2 + v. Let g(y) = -2*y**5 - 7*y**4 + 1. Let k(l) = -3*g(l) + u(l). What is the third derivative of k(w) wrt w?
91560*w**2 - 48*w - 12
Let t(z) be the second derivative of -z**6/15 + 877*z**5/20 - 3169*z**4/12 - 29*z + 49. What is the third deri