- m**4 + 528*m**2 + 127*m**3 wrt m.
24*m + 762
Let t(u) = u**3 + 3. Let d be t(0). Suppose 42 = 2*w - 4*m, -m - d*m = 8. What is the third derivative of -6*r**2 - 5*r**4 - w*r**2 - 9*r**4 wrt r?
-336*r
Let m(r) = 303*r**3 - 7*r**2 + 17*r - 316. Let l(g) = 201*g**3 - 5*g**2 + 12*g - 211. Let h(x) = 7*l(x) - 5*m(x). What is the second derivative of h(c) wrt c?
-648*c
Let j = 103 + -101. What is the second derivative of -25*u**2 + 55*u**2 - u**3 - 26*u**j + 61*u + 0*u**3 wrt u?
-6*u + 8
Suppose -p - 3*v - 8 = -5*p, v = 4. What is the second derivative of 207*y**4 + 84 - 2*y + 29777*y**5 - 29779*y**p - 266 wrt y?
-40*y**3 + 2484*y**2
Suppose -22*l + 56 = -6*l - 8. Let d(h) be the first derivative of 4 + 5/4*h**l - 19*h + 0*h**2 + 0*h**3. Differentiate d(m) wrt m.
15*m**2
Let f(u) be the third derivative of -109*u**6/60 - 39*u**5/10 + u**4/24 - 3*u**2 - 165*u. Find the third derivative of f(x) wrt x.
-1308
What is the third derivative of 14*u**3 + 9*u**4 - 2*u**3 + 461*u**2 - 12*u**3 + 14*u**6 - 18*u**4 wrt u?
1680*u**3 - 216*u
Let i(n) = 5*n**3 - n**2 - 1. Let u(c) = -66*c**3 - 232*c**2 - 3420*c + 7. Let s(l) = 8*i(l) + u(l). What is the second derivative of s(f) wrt f?
-156*f - 480
Let h(t) = -7886*t**3 - 764*t**2 + 86*t. Let c(v) = 7886*v**3 + 771*v**2 - 103*v + 1. Let s(w) = 5*c(w) + 6*h(w). Find the third derivative of s(j) wrt j.
-47316
Let c(l) = 2. Let q(m) = -5059*m - 1849. Let t(s) = 7*c(s) - q(s). Differentiate t(i) wrt i.
5059
Let j(q) = 1057*q**2 + 16*q - 2681. Let i(k) = -7401*k**2 - 119*k + 18766. Let g(a) = 2*i(a) + 15*j(a). Find the first derivative of g(z) wrt z.
2106*z + 2
What is the first derivative of 40*g**3 + 2767 + 3156 - 3*g - 14*g**3 + 661 + 5908 wrt g?
78*g**2 - 3
Let s(t) be the second derivative of -t**5/10 + 229*t**3/6 - 13*t**2/2 + 102*t + 29. What is the derivative of s(a) wrt a?
-6*a**2 + 229
Suppose 3*y + 7 = 19. Suppose -y*g = -j - 15, j + 3*g = g + 15. Differentiate -12 + j*o - 4*o - 3*o - 8 wrt o.
-2
Let x(b) be the first derivative of 521*b**6/6 - 2073*b**2 + 2345. What is the second derivative of x(q) wrt q?
10420*q**3
Let s be (-2 - 1)*(-14)/(-147)*7. Let n(w) = w**2 - 2*w + 62. Let i(u) = u**2. Let g(b) = s*i(b) - n(b). Differentiate g(z) wrt z.
-6*z + 2
Suppose -o - 2*d = -11, -2*d = 5*o - 4*d - 7. What is the derivative of 9*b**3 - 5*b**o - 9*b**4 + 18 - 4*b**3 wrt b?
-36*b**3
Suppose -6 = c - 3*c - 4*h, -4 = -4*c - 4*h. Let p be (0 - c) + -4 + 19. Find the second derivative of 0*z - p*z + 0*z + 97*z**3 - 103*z**3 wrt z.
-36*z
What is the third derivative of 428*n**5 - 3337*n**5 + 2162*n**2 - 423*n**2 wrt n?
-174540*n**2
Let d be 0 + 4 + -1 + 2/2. What is the derivative of 3*y**2 - 20 + 7*y**2 - 27 - d*y + 6*y wrt y?
20*y + 2
Let o(y) = 2*y + 10. Let l be o(-4). Let r be -54*l/12*-2. What is the derivative of -5*d + r*d - 45*d - 36 wrt d?
-32
Suppose 297*j - 3 = 298*j. Let f(s) = 46*s**2 + 39. Let u(r) = 23*r**2 + 19. Let t(q) = j*f(q) + 5*u(q). Find the first derivative of t(l) wrt l.
-46*l
Suppose 5*z = -47 + 237. Let t = 44 - z. Differentiate -2 + 3 + 3 - t*x**3 - 7*x**3 with respect to x.
-39*x**2
Let v(o) be the second derivative of -2035*o**3/3 + 659*o**2 + 217*o + 2. What is the first derivative of v(z) wrt z?
-4070
Let t be 3*1*(-6)/(-9). What is the third derivative of q**3 - 36*q**3 + 32*q**3 + 15*q**t wrt q?
-18
Let z(l) = -l**2 - 18*l + 22. Suppose 3*d = 11 - 68. Let i be z(d). What is the third derivative of -4*w**3 - 2*w**3 - 5*w**i - 13*w**2 + 13*w**3 wrt w?
12
Let w(q) = 8*q**2 - 10*q + 6. Let d be w(1). What is the second derivative of 4*r**4 - 792*r + 600*r + 247*r**5 - 4*r**d wrt r?
4940*r**3
Let l(n) be the third derivative of -13*n**5/5 + n**4/12 - 271*n**3/3 - 4*n**2 - 133. What is the first derivative of l(k) wrt k?
-312*k + 2
Suppose 0 = -532*g + 51*g + 436 + 526. Let a(r) be the first derivative of -9/2*r**4 + 6*r**g + 0*r**3 + 0*r + 17. Find the second derivative of a(j) wrt j.
-108*j
Let i(p) = 3560*p**2 - 2981*p + 14. Let d(m) = -2376*m**2 + 1988*m - 10. Let s(y) = -7*d(y) - 5*i(y). Find the second derivative of s(j) wrt j.
-2336
Let v(o) be the second derivative of -o**7/14 + 19*o**3/6 + 19*o**2 + 19*o. Let p(w) be the first derivative of v(w). What is the derivative of p(y) wrt y?
-60*y**3
Let m(d) = 2049*d**3 - 1320*d - 6. Let t(n) = -4097*n**3 + 2666*n + 13. Let r(l) = 13*m(l) + 6*t(l). What is the second derivative of r(g) wrt g?
12330*g
Let m be 107 + 0 + ((-80)/(-5))/(-4). What is the second derivative of -3*d + 42*d**2 + m + 55*d**2 - 114 wrt d?
194
Let k(i) = 56 - 57*i + 190*i - 80. Let o be 4/5*45/18. Let d(m) = 33*m - 6. Let f(x) = o*k(x) - 9*d(x). What is the derivative of f(u) wrt u?
-31
Let u(y) be the second derivative of -4/3*y**4 + 1/6*y**3 + 0 + 3/5*y**5 + 0*y**2 + 25*y. What is the third derivative of u(c) wrt c?
72
Let z(n) = -1133*n**2 - 18*n + 151. Let g(b) = -1131*b**2 - 24*b + 152. Let a(m) = 3*g(m) - 4*z(m). What is the derivative of a(r) wrt r?
2278*r
What is the third derivative of 13872*i**2 + 3*i**3 - 12604*i**2 + 63*i**4 + 6*i**3 wrt i?
1512*i + 54
Suppose 3*u = 3*r + 8*u - 19, 2*u = 2*r + 14. Let q be 15/(-5) + r + 7. Find the third derivative of -4*f**2 - 43*f**q - 39*f**6 + 7*f**2 wrt f.
-4680*f**3
Let o(i) be the third derivative of -151*i**5/20 - 1565*i**4/24 + 2049*i**2. What is the second derivative of o(m) wrt m?
-906
Let o(j) be the second derivative of -25*j**8/14 - 3*j**5/20 + 419*j**4/4 - j - 584. What is the third derivative of o(v) wrt v?
-12000*v**3 - 18
What is the second derivative of 5672 + 5666 - 17007 + 3377*f + 1040*f**4 + 5669 wrt f?
12480*f**2
Differentiate -503*j - 2*j**3 + 264*j - 362 + 94 + 239*j - 348*j**4 with respect to j.
-1392*j**3 - 6*j**2
Let f(v) be the third derivative of 484*v**7/105 + 85*v**4/24 + 319*v**2. Find the second derivative of f(x) wrt x.
11616*x**2
Let f(z) be the first derivative of -1347*z**5/5 - 1002*z + 633. Differentiate f(m) wrt m.
-5388*m**3
Differentiate -1174*h - 188923 - 688*h + 183416 with respect to h.
-1862
Suppose 23 = 2*m + 5*t, 7 = 3*m - 2*m + t. Suppose -408*z - 294 = -429*z. Find the third derivative of -z*u**3 + 21*u**2 - 8*u**3 + 30*u**3 - m*u**3 wrt u.
24
Let n(c) = -c**4 - 79*c**3 - c**2 + 21. Let j(k) = -k**3 + k**2 - 1. Let i = -805 - -804. Let r(g) = i*n(g) - j(g). What is the first derivative of r(u) wrt u?
4*u**3 + 240*u**2
Suppose -21*k = -20*k - 131. What is the derivative of 12*s - k - 40 - 14 wrt s?
12
Let d be -4*(-366)/120 + 1/(-5). Suppose d*m - 6 = 18. Differentiate 10 + 17*c**2 + 8*c**m - 34*c**2 with respect to c.
-18*c
Let f(k) = -287*k**3 - 6767*k + 7. Let r(v) = 97*v**3 + 2256*v - 2. Let j(g) = -2*f(g) - 7*r(g). Find the second derivative of j(u) wrt u.
-630*u
Suppose 0 = -12*g + 13*g - 2*u - 4, u + 9 = g. Suppose -7*t + 10 = -2*t. Find the second derivative of -14*c - g*c**2 + 6*c + 5*c**2 - 8*c**t wrt c.
-34
Suppose -4*h + 1128 + 81 = -5*g, -2*h + 615 = g. Differentiate -h*o + 5*o**2 + 600*o - 305*o - 94 wrt o.
10*o - 11
Let m(a) be the second derivative of -25/4*a**5 + 0*a**3 + 32/3*a**4 + 30 + 0*a**2 + a. Find the third derivative of m(h) wrt h.
-750
Let d(h) be the first derivative of 231*h**4/2 - 62*h**3/3 - 8*h + 1476. What is the third derivative of d(i) wrt i?
2772
Let x = 48 - 45. Differentiate 62 - 21*q**3 + 32*q**x - 80*q**3 - 84*q**3 + 11*q**3 wrt q.
-426*q**2
Let c = 3490 - 3490. Let x(t) be the third derivative of c*t**5 + 0*t - 5/6*t**3 + 0 + 2/15*t**6 + 0*t**4 + t**2. Find the first derivative of x(g) wrt g.
48*g**2
Let a(y) = -61*y**2 + 25*y - 3352. Let l(w) = -61*w**2 + 20*w - 3351. Let g(t) = 4*a(t) - 5*l(t). What is the first derivative of g(c) wrt c?
122*c
Let c(n) be the second derivative of 2*n**4/3 - 39*n**3 + 1008*n**2 - 7013*n. Differentiate c(b) wrt b.
16*b - 234
Let v(m) = 5*m**3 - 5*m**2 - 5*m - 50. Let c(i) = i + 3*i**2 - 4*i**2 - 4*i + 2*i. Let y(d) = 10*c(d) - 2*v(d). What is the first derivative of y(x) wrt x?
-30*x**2
What is the derivative of -1927 + 374*r + 272*r + 307*r - 69*r + 7*r wrt r?
891
Suppose 0 = -4*k - 5*g + 24, 3*k + 5 - 23 = -3*g. Find the third derivative of -16*u**6 + 2570*u**2 - 220*u**k - 2710*u**2 wrt u.
-28320*u**3
Let p(c) = -148*c**3 - c**2 + 3*c + 218. Let i = 482 + -483. Let k(x) = -x - 2. Let j(t)