3
Find the first derivative of 631 - 3077 + 57*j - 6*j**2 + 18*j**2 - 87*j + 33*j wrt j.
24*j + 3
Let i = 505 - 472. What is the derivative of -i*w + 30*w - 84*w + 270 wrt w?
-87
Find the first derivative of -843 + 315 - 1654 - 12*n + 0*n - 18*n wrt n.
-30
Let z(b) be the second derivative of -167/56*b**8 + 4 + 0*b**5 + 0*b**3 - 39*b**2 - 1/12*b**4 + 0*b**7 - 5*b + 0*b**6. Find the third derivative of z(l) wrt l.
-20040*l**3
Let n(q) be the first derivative of -2/5*q**5 + 9/4*q**4 + 0*q**3 + 52 + 0*q**2 - 15*q. Differentiate n(a) with respect to a.
-8*a**3 + 27*a**2
Suppose z - 9 - 7 = 0. Let d = 46 - z. What is the second derivative of 2*q - 32*q**2 - q + d*q wrt q?
-64
Let m(k) = k**2 + 5*k + 6. Let x = -65 - -61. Let g be m(x). What is the third derivative of -s**5 - 17*s**g - 4*s**5 + 6*s**5 wrt s?
60*s**2
Differentiate 527 - 81 - 1841 - 1848 + 2*f**2 - 5*f**4 - 1437 + 83*f**3 wrt f.
-20*f**3 + 249*f**2 + 4*f
Suppose -5*c + 174 = -3*i - 251, c - 98 = -2*i. Let x = c + -86. Find the second derivative of 17*l + 10*l + 27*l**x + l wrt l.
54
Let q(d) be the third derivative of -10*d**8/7 - 101*d**5/6 + 619*d**2. What is the third derivative of q(k) wrt k?
-28800*k**2
Let n(p) = 44*p**2 + 2*p + 4315. Let d(m) = -132*m**2 - 8*m - 12939. Let w(l) = -2*d(l) - 7*n(l). Differentiate w(z) wrt z.
-88*z + 2
Let s be (-12)/15 - (-680)/(-25). Let z be (-101)/(-3) + s/42. Find the first derivative of j**3 - 52 + 65 - z*j**4 - j**3 wrt j.
-132*j**3
Suppose 0 = -5*r + 2*r + 12. Let a(g) be the first derivative of 334 - 23*g**2 - 689 - 12*g**r + 333. What is the second derivative of a(z) wrt z?
-288*z
Let q(l) = 2*l - 21. Let v be q(12). Find the third derivative of -432*g**2 - 35*g**v + 34*g**3 + 339*g**2 wrt g.
-6
Let o be (338/273)/((-28)/(-49)) - -2. Let d(u) be the second derivative of 29/2*u**2 - o*u**3 - 13*u + 0. Find the first derivative of d(p) wrt p.
-25
Let h(f) be the first derivative of 2*f**5 + f**4/4 + 205*f + 2188. What is the derivative of h(s) wrt s?
40*s**3 + 3*s**2
Suppose 7 = 6*r - 17. Find the second derivative of -2*o**5 + 181*o**r + 19987*o - 20106*o + 4*o**5 wrt o.
40*o**3 + 2172*o**2
Let t be (-1895)/(-25) + (-4)/5*1. What is the third derivative of -t*o**3 - 21*o**5 + 3 + 147*o**3 - 3 + 142*o**2 - 73*o**3 wrt o?
-1260*o**2 - 6
Find the second derivative of 145*r + 169*r + 2 - 15897*r**4 + 15440*r**4 wrt r.
-5484*r**2
Let t(n) be the second derivative of -n + 43 + 0*n**3 - 52/3*n**4 - 309/2*n**2. Differentiate t(r) wrt r.
-416*r
Let x = -9 + 18. Suppose x*d = 6*d + 60. Differentiate 2*p**2 - d*p**2 - 81 + 102 wrt p.
-36*p
Differentiate -4*z**4 - 237888*z + 5540 + 238014*z - z**4 with respect to z.
-20*z**3 + 126
Suppose 0 = 3*g + 42 + 24. Let x = 27 + g. Find the third derivative of 22*n**4 + 2*n**2 - x*n**2 - 8*n**2 - 37*n**4 wrt n.
-360*n
Let i(g) be the first derivative of -g**6/6 + 221*g**5/5 - 1282*g**3/3 + 197. Find the third derivative of i(y) wrt y.
-60*y**2 + 5304*y
Find the third derivative of -449*h**3 + 2 - 64*h**2 + 0 + 351*h**2 + 147*h**2 wrt h.
-2694
Find the second derivative of -211*w**5 - 11*w**5 - 289*w - 209*w**5 + 1695*w wrt w.
-8620*w**3
Find the third derivative of 3*q + 314*q**2 - 638*q**2 - 1023*q**3 + 7*q - 667*q**3 + 254*q**2 wrt q.
-10140
Let b(w) = w**2 + w - 1. Suppose 45 = -6*h + 11*h. Let x(n) = -27 - 10*n**2 + h + 8 + 5*n. Let r(f) = -5*b(f) + x(f). Differentiate r(j) wrt j.
-30*j
Let c(b) be the second derivative of 3*b**6/10 - b**5/20 + 12*b**3 + 5372*b**2 - 293*b. Differentiate c(d) with respect to d.
36*d**3 - 3*d**2 + 72
Let o(t) be the first derivative of -73*t**5/20 - 19*t**2 - 80*t - 26. Let k(b) be the first derivative of o(b). What is the first derivative of k(s) wrt s?
-219*s**2
Let s = -169 + 82. Let a = 97 + s. Differentiate -28*c + a - 7 + 10 wrt c.
-28
Differentiate 3493*o + 1913 - 1194*o - 1139*o wrt o.
1160
Let h be 6*(1 - ((-39)/(-9) + -4)). Find the third derivative of -30 - q**3 - h*q + 8*q**4 - 3*q**2 - 3*q**2 + 30 wrt q.
192*q - 6
Let x(m) be the third derivative of -3495*m**4/8 - 4789*m**3/3 - 4*m**2 - 80*m + 4. Differentiate x(y) with respect to y.
-10485
Let i(f) be the first derivative of -f**5/5 - 326*f**2 - 1419*f + 1142. What is the derivative of i(r) wrt r?
-4*r**3 - 652
Let c(o) = -2408*o**2 - 1463*o - 3. Let d(v) = -4819*v**2 - 2930*v - 5. Let n(q) = -5*c(q) + 3*d(q). What is the second derivative of n(h) wrt h?
-4834
What is the derivative of 315*g**3 + 1679 + 207*g**3 - 529*g**3 - 3*g**4 wrt g?
-12*g**3 - 21*g**2
Let o(d) be the first derivative of -4631*d**3/3 + 4065*d**2/2 + 1307. Find the second derivative of o(m) wrt m.
-9262
Let i be 16/(-6)*702/(-9). Suppose 16 + i = 16*o. Find the third derivative of 30*r**4 - o*r**2 - 17 + 17 + r**2 wrt r.
720*r
Let f be 24/(-20) + 42/10. Let a(b) = -63*b**2 - 3*b - 17. Let m(r) = 64*r**2 + 4*r + 18. Let g(n) = f*m(n) + 4*a(n). Differentiate g(o) with respect to o.
-120*o
Let x(q) = 64*q**2 - 7*q - 5. Let f be x(4). Find the first derivative of 990*b - 8 - 5 + 9*b**3 - f*b + 11*b**3 wrt b.
60*b**2 - 1
Let b(a) be the second derivative of -2024*a**6/15 - 347*a**3 + 39*a + 8. What is the second derivative of b(i) wrt i?
-48576*i**2
Let d(k) be the second derivative of 25*k**4/4 + k**3/2 - 500*k**2 - 718*k. Differentiate d(n) with respect to n.
150*n + 3
What is the third derivative of 111*o**4 - 2*o**3 + 3*o**2 - 34 + 34 - 334*o - 261*o wrt o?
2664*o - 12
Differentiate 910 + 148*v**4 - 7316*v**2 - v**3 + 7316*v**2 - 5*v with respect to v.
592*v**3 - 3*v**2 - 5
Let o(p) be the second derivative of 1748*p**3/3 + 3117*p**2/2 - p + 191. Differentiate o(g) wrt g.
3496
What is the third derivative of -117403*g + 5*g**2 + 332*g**6 + g**2 - 4*g**2 - 3*g**2 + 117394*g wrt g?
39840*g**3
Let r(a) = -a**2 - a + 2. Let i be r(1). Suppose i = -z + 3*z + 2*p - 194, -z + 100 = 4*p. Differentiate -z + 29*n + 36 + 36 - 4*n wrt n.
25
Let z(k) be the third derivative of -19/20*k**5 + 0 + 0*k + 0*k**4 - 65*k**2 + 0*k**3 + 13/120*k**6. What is the third derivative of z(x) wrt x?
78
What is the second derivative of 63 + 39*z**5 - 1710*z**4 - 236 + 1712*z**4 - 156 - 5*z wrt z?
780*z**3 + 24*z**2
Let m(s) = 68*s**2 - 67*s. Let i = 16 - 9. Let h(b) = -34*b**2 + 33*b. Let a(l) = i*h(l) + 3*m(l). Find the second derivative of a(d) wrt d.
-68
Let a(j) = 1243*j - 1237. Let w(m) = 10*m. Let v(u) = -a(u) + 2*w(u). Differentiate v(x) with respect to x.
-1223
Let f be 2 + (-4 - -7 - 2). Suppose f*w - 259 = 686. What is the second derivative of -2*d**2 - w*d + 298*d + 3*d**2 - 2*d**2 wrt d?
-2
Let l(d) = 319*d**3 + 2*d**2 - 21*d - 13. Let a(s) = -643*s**3 - 4*s**2 + 42*s + 25. Let w(i) = 3*a(i) + 7*l(i). Find the second derivative of w(v) wrt v.
1824*v + 4
Let c(s) be the third derivative of 3/8*s**6 + 0*s**4 + 7/12*s**5 + 0*s**3 - 50*s**2 + 0 + 2*s. What is the third derivative of c(y) wrt y?
270
Suppose -3*r = -2*p + 11, p + 5*r + 0 = -1. Suppose -y = -4*j + 12, -p*j = 2*y - y - 20. What is the first derivative of -q**4 - 13 + 2 + 13*q**y wrt q?
48*q**3
What is the second derivative of 0*m**3 - 628*m**2 - 739*m + 2*m**3 - 675*m + 1269*m**2 wrt m?
12*m + 1282
What is the third derivative of 320*x**3 - 164*x**3 - 156*x**3 + 868*x**2 + 392*x**2 + 1992*x**6 wrt x?
239040*x**3
Let j(d) be the first derivative of 102 - 225*d + 201/2*d**2. Differentiate j(i) with respect to i.
201
Differentiate -6667 + 8*q + 31*q**2 - 378*q + 105*q**2 - 124*q**2 wrt q.
24*q - 370
Let t be (3 - -5)/(-8)*0. Let d(r) be the third derivative of 0*r + t - 2*r**3 - 17/24*r**4 - 7*r**2. Find the first derivative of d(u) wrt u.
-17
What is the first derivative of 5*u**2 + 168*u - 5327 - 12*u**2 - 318*u + 200*u - 10*u**2 wrt u?
-34*u + 50
What is the third derivative of 20 + 14325*s**2 - 14331*s**2 + 5 - 1039*s**5 wrt s?
-62340*s**2
Suppose 5*m + 3 = 6*m. Find the third derivative of -3*v**2 - 15*v + 1668*v**3 + 71*v**5 - 1668*v**m wrt v.
4260*v**2
Suppose 5*t = -11 + 116. Suppose 9*y - 8*y = t. Find the third derivative of -18*x**5 - y*x**2 - 27*x**2 - x**5 + 2*x**3 + 5*x**5 wrt x.
-840*x**2 + 12
Let g(r) = -13*r**2 + 475*r - 11131. Let i(p) = 23*p**2 - 713*p + 16696. Let l(f) = 8*g(f) + 5*i(f). Differentiate l(y) with respect to y.
22*y + 235
Let v be 8/6*(8 + 13). Suppose 0*y - 2*y +