4. What is the first derivative of m(i) wrt i?
-1195
Let r(j) = -j**2 + 10*j - 16. Let i be r(6). Differentiate -t**2 - 38 + i - 2*t**2 - t - 3 wrt t.
-6*t - 1
Suppose v = -3*k + 143, -3*v + 4 = -4*v. Find the third derivative of -54*i - 78*i**3 + 105*i + 5*i**2 - k*i wrt i.
-468
Let c = 48 + -47. Suppose 5*a - c = -4*p + 1, 0 = 4*a + 4*p. Find the third derivative of 13*g**a + 9*g**2 - 15*g**3 - 9*g**2 wrt g.
-90
Find the third derivative of -1134*n**2 - 454*n**6 - 4*n**4 + 2395*n**6 - 605*n**2 + 4*n**4 wrt n.
232920*n**3
Let c(n) be the third derivative of -567*n**6/40 - 325*n**4/24 - 5*n**3/6 + 27*n**2 - 13*n. What is the second derivative of c(u) wrt u?
-10206*u
Let g be 25/10*96/15. Suppose 2*r - 3*y = g, -y = -r + 3*r. Find the third derivative of -2*s**2 + 0*s**2 - 6*s**2 + s**r + 5*s**5 wrt s.
300*s**2
Let o(q) = -813*q**4 - 2*q**2 + 4*q + 893. Let j(l) = 2436*l**4 + 7*l**2 - 14*l - 2680. Let g(m) = 2*j(m) + 7*o(m). Differentiate g(t) wrt t.
-3276*t**3
Let q be (-4)/18 + 29/9*1. Suppose q*j - 2*g - 87 = 3*g, 5*j = -2*g + 114. What is the third derivative of 26*o**4 - j*o**4 + 16*o**2 + 11*o**4 wrt o?
312*o
Suppose -20*z = -19*z - 20. Suppose -z = -q - 13. What is the first derivative of 4 - 11 + q*f**3 - 6 - 4 wrt f?
21*f**2
Let s be (6045/(-117))/(2/(-18)). What is the second derivative of s + 2*j**4 + 69*j + 10*j**2 - 465 wrt j?
24*j**2 + 20
Let u(o) = -481*o**3 - 54*o**2 + 2*o + 787. Let z(f) = -480*f**3 - 43*f**2 + 2*f + 788. Let x(l) = 4*u(l) - 5*z(l). Find the second derivative of x(m) wrt m.
2856*m - 2
Let m(b) = 3*b**2 - 24*b**3 + b**2 + 120*b**3 - 19. Let f(w) = 96*w**3 + 3*w**2 - 18. Let v(s) = 4*f(s) - 3*m(s). Find the first derivative of v(q) wrt q.
288*q**2
Let q(p) = -170*p + 1358. Let a(z) = -351*z + 2717. Let s(w) = 2*a(w) - 5*q(w). What is the first derivative of s(o) wrt o?
148
Suppose -33*m = -37*m + 544. Suppose -4*g = 4*o - 0*g - m, 5*g + 190 = 5*o. Find the first derivative of 7*u**4 - 37 - o + 72 + 3*u**4 wrt u.
40*u**3
Let i be (-33)/44*(-32)/3. Find the second derivative of -5*v**4 + 9 + 7*v - i*v**4 - 4*v**3 - 10 + 16*v**4 wrt v.
36*v**2 - 24*v
Differentiate -513*b - 1034 + 3*b**2 - 523 - 59*b + 137 - 537 with respect to b.
6*b - 572
Find the first derivative of 1203 - 961*f**3 + 49 + 2*f - 380*f**3 - 2545*f**3 + 937*f**3 wrt f.
-8847*f**2 + 2
Suppose -3*a = -4*a - 58. Let f = a - -60. What is the second derivative of 16*z**5 + 27*z - 1148*z**f + 1148*z**2 wrt z?
320*z**3
Let q(t) = -t**2 + 31*t - 6. Let l be q(13). Find the first derivative of -21*f**2 - 114*f**2 + l*f**2 - 58 wrt f.
186*f
Suppose 307 - 834 = -17*i. Find the third derivative of 8 + 13 - i + 20*y**3 + 3*y**4 + 24*y**2 + 6*y**2 + 8 wrt y.
72*y + 120
Let j(k) be the second derivative of -37/2*k**3 - 43/3*k**4 + 0*k**2 + 2 + 84*k. What is the second derivative of j(l) wrt l?
-344
Suppose -25766*k - 4 = -25768*k. Let a(r) be the first derivative of 22/3*r**3 - 13/2*r**k + 22 + 0*r. What is the second derivative of a(q) wrt q?
44
Let o be (-20)/(-11) - (-2)/(-11)*-1. Find the third derivative of 24*h**4 + 113*h**5 + 3*h - 8*h**o - 55*h**5 - 59*h**5 wrt h.
-60*h**2 + 576*h
Let j = 120 + -117. What is the second derivative of 18*o**2 - 26*o**2 + 27*o**j + 6*o**2 + 68*o + 10*o wrt o?
162*o - 4
Suppose 7*x - 5*x + 18 = 0. Let d(p) = -p + 9. Let s be d(x). Differentiate s*g**3 - 10 + 5 + 0 - 9 with respect to g.
54*g**2
Find the third derivative of -662*n**4 - 2433*n**3 + 6327*n**3 + 661*n**4 - 2744*n**2 wrt n.
-24*n + 23364
Find the second derivative of -1002*w**4 - 2*w - 1403*w**4 - 2449 + 750*w**4 + w**3 wrt w.
-19860*w**2 + 6*w
Let d(r) be the third derivative of 7*r**5/30 - 11*r**4/8 + 1163*r**3 - 7913*r**2. Differentiate d(c) wrt c.
28*c - 33
Let c(d) be the first derivative of 0*d + 108 - 4/3*d**3 + 26*d**2. What is the second derivative of c(o) wrt o?
-8
Let m be 11/((-66)/12) + 2*4. Let w = 14 + -12. What is the third derivative of -776 + w*g**m + 6*g**2 + 776 wrt g?
240*g**3
Suppose 190 = 3*y + 37. What is the first derivative of 2*q**2 + 236 - y*q + 221 - 438 wrt q?
4*q - 51
Let a be (87/(-1) + -2)/(6/6). Let y = -88 - a. What is the derivative of -150*x**2 + y + 163*x**2 + 0 wrt x?
26*x
Let j = 4805 + -19207/4. Let w(h) be the first derivative of 8*h**3 + 14 + 0*h**2 - j*h**4 + 0*h. Find the third derivative of w(m) wrt m.
-78
Differentiate 727 + 37*z + 294 + 247 + 773 - z**2 wrt z.
-2*z + 37
Let v(k) be the first derivative of -17*k**6/6 + k**5/5 + 4*k**3/3 + 978*k**2 - 2428. What is the second derivative of v(c) wrt c?
-340*c**3 + 12*c**2 + 8
Let t(z) be the second derivative of 119/12*z**4 + 0 + 25/3*z**3 - 19*z + 0*z**2. What is the second derivative of t(v) wrt v?
238
Let c be (-1 - 2)/(4/(-12)). Let v = c - 7. What is the third derivative of -4*k**2 - 5*k**v - 5*k**2 + 13*k**4 wrt k?
312*k
Suppose -2*m = -y + 3 - 10, 11 = 4*m - 3*y. Let k = 3489 + -3471. Find the second derivative of 12*q - 17*q**3 - 10*q**3 + m*q**3 - k*q wrt q.
-132*q
What is the second derivative of -37546*a**2 + 18756*a**2 + 18765*a**2 - 2537*a + 3*a**3 wrt a?
18*a - 50
Find the first derivative of -54 - 31 + 28718*u**2 - 28718*u**2 - 329*u**4 wrt u.
-1316*u**3
Find the first derivative of 2019 + 2064 + 5290*m + 3012 + 2722 - 2256 wrt m.
5290
Let d = 45 - 39. What is the third derivative of 9*o**6 + 32*o**6 + 43*o**d + 48*o**2 - 56*o**6 wrt o?
3360*o**3
Let j(y) = -105*y**3 + 155*y**2. Let b(v) = 371*v**2 - 589*v**2 + 375*v**2 - 105*v**3. Let t(q) = -3*b(q) + 4*j(q). Find the third derivative of t(c) wrt c.
-630
Let d(r) be the first derivative of -323/4*r**4 - 14 - 27*r**2 - r + 0*r**3. Find the second derivative of d(h) wrt h.
-1938*h
Let o(d) be the second derivative of 5*d**8/28 - d**6/10 - 2*d**5/5 + d**4/3 - 87*d**2/2 - 1166*d - 1. Find the third derivative of o(f) wrt f.
1200*f**3 - 72*f - 48
Let d(y) = y**3 - 4*y**2 + 15*y - 32. Let o be d(4). Differentiate 24*p**2 + 97 + 10*p**2 + o*p**2 with respect to p.
124*p
Suppose 0 = a - 8 - 0. Find the first derivative of 1206 + r**3 - 2334 + 1249 - 12*r - a*r wrt r.
3*r**2 - 20
Let y(t) = 42*t**3 - 6*t**2 - 18*t - 6287. Let m(l) = -50*l**3 + 7*l**2 + 20*l + 6285. Let s(i) = 5*m(i) + 6*y(i). Differentiate s(x) with respect to x.
6*x**2 - 2*x - 8
Suppose -7*g + 0*g + 84 = 0. Let u be (-58*6/g)/(2/(-10)). Differentiate -u*i**2 - 202*i**2 + 397*i**2 + 2 with respect to i.
100*i
Let w(o) be the first derivative of -143*o**5 + o**4/2 - o**2 - 1268*o - 34. What is the second derivative of w(c) wrt c?
-8580*c**2 + 12*c
Let k(g) be the second derivative of -g - 1/15*g**6 - 31/5*g**5 + 0*g**2 + 26/3*g**3 - 1/12*g**4 - 78. Find the third derivative of k(j) wrt j.
-48*j - 744
Let l be (-1 - -41)*(-3 + 5)*162. What is the second derivative of -12910*h**2 - 2*h**4 + 43*h - h**5 + 2*h**4 + l*h**2 wrt h?
-20*h**3 + 100
Let g = 255 + -253. What is the third derivative of 373 + 65*o**g - 745 + 372 - 74*o**5 wrt o?
-4440*o**2
Let n(a) = -a + 66. Let r be n(13). Find the second derivative of 4 - 4 - r*g**4 + 100*g**4 - 41*g wrt g.
564*g**2
What is the third derivative of 377 - 377 - 14*t**3 - 43*t**4 - 101*t + 101*t - 1835*t**2 wrt t?
-1032*t - 84
Let c = 313 + -5. Find the third derivative of c*h**4 + 5*h - 338*h**4 - 3*h - 3*h**2 wrt h.
-720*h
Let q be 1 + (3 - (5 - 3)). Suppose -q = -u + 3. Find the third derivative of -8*g**2 - 95*g**5 + g**2 + 102*g**u wrt g.
420*g**2
Let h(m) be the first derivative of -1089*m**5 + 4686*m + 2704. Find the first derivative of h(f) wrt f.
-21780*f**3
Suppose -5*f - 2*d = -48, -2*f - 1 = -3*d - 5. Let n(j) = -13*j + 17. Let q(i) = 39*i - 50. Let z(g) = f*n(g) + 3*q(g). Find the first derivative of z(b) wrt b.
13
Let g(v) be the second derivative of -3538*v**6/15 - 2932*v**3/3 + 4604*v. What is the second derivative of g(r) wrt r?
-84912*r**2
What is the first derivative of 3096 + 199*x**2 + 194*x**2 - 393*x**2 + 4253*x**3 wrt x?
12759*x**2
Let n(r) = -219*r + 4. Let m be n(-1). Suppose -3*a = g - 131, 6*a - a - 3*g - m = 0. Differentiate -47 - 17 + 17 - a*l wrt l.
-44
Let o(b) = -4*b**2 - 2*b + 1. Let n(g) = 3081*g**2 - 1320*g - 9. Let y(s) = -n(s) - 9*o(s). Find the second derivative of y(q) wrt q.
-6090
Let l be (-14)/315*-10*18/4. Let c(r) be the first derivative of 9*r - l*r + 34 - r - 4*