291*g**4/24 - g**3/6 + 3*g**2 - 1. What is the second derivative of r(n) wrt n?
-10502
Suppose 0 = -m + 21 - 20. Let y be 16/6 - m*(-3)/9. Find the first derivative of -72 - w**3 + 60 + 27*w**y wrt w.
78*w**2
Find the third derivative of -1 - 538*d**2 - 99*d**4 - 559*d**2 + 2*d**5 + 1126*d**2 + 82*d + 18*d**3 wrt d.
120*d**2 - 2376*d + 108
Let n(i) = -6*i**2 - i - 1. Let y(r) = -6368*r**2 + 7780*r + 1. Let m(h) = -n(h) - y(h). Find the second derivative of m(a) wrt a.
12748
Let z(v) = 5*v**3 - 4*v**2 + 3. Let m be z(1). Find the third derivative of 31098*n**m + 44*n**6 - 31098*n**4 + 41*n**2 wrt n.
5280*n**3
Find the second derivative of 903*u**4 - 1843*u**4 - 9*u**2 + 1019*u + 894*u**4 wrt u.
-552*u**2 - 18
Find the third derivative of -2711*w**6 + 174450*w - 1149*w**2 - 174450*w wrt w.
-325320*w**3
Let x(f) = -1264*f**3 + 48*f**2 - 24*f - 24. Let v(d) = -2527*d**3 + 96*d**2 - 40*d - 47. Let m(t) = -3*v(t) + 5*x(t). Find the third derivative of m(o) wrt o.
7566
Find the third derivative of 69863*g - 2940*g**2 - 1981*g**5 - 69863*g wrt g.
-118860*g**2
Let k be 625/250*(-14)/(-60). Let u(x) be the third derivative of 0*x + 0*x**3 + 17*x**2 + 0 + 3/20*x**5 + k*x**4. What is the second derivative of u(b) wrt b?
18
What is the third derivative of -1029*q**5 - 7*q**2 + 6*q**2 + 2*q**2 - 2*q**2 - 87*q**5 + 760*q wrt q?
-66960*q**2
Let d(z) be the first derivative of 23*z**6/2 - 22*z**5/5 - 2085*z**2/2 - 1251. What is the second derivative of d(f) wrt f?
1380*f**3 - 264*f**2
Let c be ((-4)/4 + 0)*0. Let h(y) = -y**2 + y + 3. Let j be h(c). Find the third derivative of -17*b**j - 3*b**3 + 63*b**2 - 55*b**2 wrt b.
-120
Let x be (13 + -8)*32/(-5) - -1. Let t = x - -35. Differentiate -15 + 13*c**2 + t*c**2 + 4*c**2 with respect to c.
42*c
Suppose -5*x + 8*x + 2*s - 1978 = 0, 3*x + 5*s = 1993. What is the third derivative of -111*p**6 - x*p**2 + 17*p**6 + 651*p**2 - 5 wrt p?
-11280*p**3
Let g(l) be the first derivative of 673*l**4/4 - 95*l**2/2 - 8*l + 1024. Find the second derivative of g(m) wrt m.
4038*m
Let o(r) be the second derivative of -1313*r**4/4 - 1051*r**2 - 2*r - 573. Find the first derivative of o(g) wrt g.
-7878*g
Let h be (-12)/(-42) + (-264)/(-56). What is the derivative of -31*b + 28*b - 232 - 154*b**2 + h*b wrt b?
-308*b + 2
Suppose i - 22 + 19 = 0. Find the second derivative of -10*u**3 - 124*u - 2*u**3 - i*u**3 - 4*u**3 - 74*u wrt u.
-114*u
Let q(y) be the second derivative of 259*y**6/15 + 262*y**3/3 - 4558*y. What is the second derivative of q(g) wrt g?
6216*g**2
Let a(s) = 31*s - 1405. Let c(m) = -60*m + 2817. Let g(j) = 5*a(j) + 3*c(j). Differentiate g(r) with respect to r.
-25
Let a be (3/2)/((-15)/(-280)). What is the derivative of h**4 + a + 5*h**2 - 10067*h**3 + 10067*h**3 wrt h?
4*h**3 + 10*h
What is the second derivative of 2014*x - 12963*x + 3 + 10112*x**2 - 3 - 1930*x**2 wrt x?
16364
Let s = 71 - -141. What is the second derivative of -7*j**2 - 221*j**3 - 8*j + 8*j**2 - 5 + s*j**3 wrt j?
-54*j + 2
Suppose -u + 2*u = 3*a + 5, u = a + 15. Differentiate -5*y**2 + 4*y - 24*y - 157 + u*y - 136*y**2 wrt y.
-282*y
Differentiate -376 + 1428 + 199735*k**4 - 195896*k**4 wrt k.
15356*k**3
Let o = 25 + -26. Let i be (-21945)/(-147) + o + 5/7. What is the derivative of -78*k**3 + 14 + i*k**3 - 89*k**3 wrt k?
-54*k**2
Suppose -79 = -2*l - 17. Find the third derivative of -l*i**3 - 30*i**3 + 61*i**3 + 43*i**2 - 16*i**6 wrt i.
-1920*i**3
Differentiate -131*n - 274*n + 30*n - 430 - 477 - 767*n wrt n.
-1142
Differentiate 2*w - 100*w**3 + 149*w**3 + 1174*w**3 + 2788 - 2*w wrt w.
3669*w**2
Let d(q) be the first derivative of 76 + 0*q**2 - 110*q + 13/3*q**3. What is the derivative of d(b) wrt b?
26*b
Let h(o) be the first derivative of -563*o**6/2 - 3893*o**3/3 + 138. What is the third derivative of h(w) wrt w?
-101340*w**2
What is the third derivative of -8164 + s**2 - 4856*s**3 + 7*s - 8*s + 8453 wrt s?
-29136
What is the second derivative of r + 302 + 293 + 87803*r**2 - 89606*r**2 wrt r?
-3606
Let l(m) be the first derivative of 0*m**3 + 0*m**4 + 0*m - 79 - 9/2*m**2 - 206/5*m**5. Find the second derivative of l(y) wrt y.
-2472*y**2
Let i(r) be the second derivative of 539*r**3 - 493*r**2/2 + 799*r. Find the first derivative of i(s) wrt s.
3234
Let t = -213 + 219. Find the third derivative of -24 + 6 - w**2 + t - 1 + 17*w**3 wrt w.
102
Let d(p) = -49*p**2 + 43*p - 957. Let h(s) = -2*s**2 + 8*s - 1. Let v(c) = d(c) - 5*h(c). What is the derivative of v(t) wrt t?
-78*t + 3
Suppose 88 = 6*v - 2*v. Suppose -8 = 20*z - v*z. What is the first derivative of -4*l**4 + 18 - z*l**4 + l**4 wrt l?
-28*l**3
Find the third derivative of -90 + 871*a**2 - 6923*a**4 + 599*a**2 - 48 + 138 wrt a.
-166152*a
Let g(f) be the first derivative of 964*f**7/7 - 2257*f**3/3 + 233. What is the third derivative of g(m) wrt m?
115680*m**3
Let s(d) be the third derivative of 1349*d**7/210 - d**5/30 - 13*d**4/4 - 10*d**3/3 - 3080*d**2. Find the second derivative of s(t) wrt t.
16188*t**2 - 4
Suppose 4*n - n + 3 = 0, 12304 = 4*j - 4*n. What is the third derivative of j*c**2 + 2 - 5*c**3 - 13*c**3 - 3042*c**2 wrt c?
-108
Let h(d) = -2*d + 55. Let g be h(14). Find the third derivative of -19*c**2 + g*c**3 + 104*c**2 + 85*c**3 wrt c.
672
Let b(v) be the first derivative of -5836*v**3/3 + 122*v - 8352. What is the derivative of b(s) wrt s?
-11672*s
What is the second derivative of -1738*f**3 + f + 182 - 3*f - 2*f**4 + 2*f - 3*f + 1892*f**3 wrt f?
-24*f**2 + 924*f
Suppose -5*g - 5*o + 93 = -92, g = o + 29. What is the derivative of 11 - 1 - 2*y**3 + g + 9*y wrt y?
-6*y**2 + 9
Let n(s) be the second derivative of -941*s**8/28 - s**4/12 + 871*s**2/2 - 578*s. What is the third derivative of n(z) wrt z?
-225840*z**3
What is the third derivative of 1154 - 6014*y**3 + 1141 - 3443 + 241*y**2 + 1160 wrt y?
-36084
Let c = -54 - -55. What is the second derivative of -c - 1 + 76*m**5 - 18*m + 39*m**5 wrt m?
2300*m**3
Let b(p) = 277*p**3 + 221*p - 6. Let s(f) = 278*f**3 + 219*f - 5. Let q(i) = 6*b(i) - 7*s(i). Find the second derivative of q(d) wrt d.
-1704*d
Let r(h) = 57*h - 119. Let b(d) = 22*d - 53. Let l(y) = y - 1. Let c(z) = -b(z) - 6*l(z). Let t(g) = 13*c(g) + 6*r(g). Differentiate t(j) wrt j.
-22
Suppose 4*w + 82 = u + 12, -u = 5*w - 61. Find the second derivative of -217*a**5 - u*a + 2718 - 2718 + 23*a - 71*a wrt a.
-4340*a**3
Let g = 34228 - 34216. Let j(s) be the third derivative of 5/12*s**4 + 11/15*s**5 - g*s**2 + 0*s + 0*s**3 + 0. What is the second derivative of j(o) wrt o?
88
Let l(y) be the third derivative of 2 - 4*y**2 + 0*y**5 + 0*y**6 + 11/210*y**7 + 9/4*y**4 + 0*y + 0*y**3. What is the second derivative of l(x) wrt x?
132*x**2
What is the second derivative of -40143 + 0*l + 39806 - 1180*l**3 - 4*l wrt l?
-7080*l
Let v(n) be the second derivative of 344*n**6/15 + 1299*n**4/4 + 228*n. What is the third derivative of v(q) wrt q?
16512*q
Let j(g) be the first derivative of -g**7/14 - 91*g**4/12 - 66*g**3 + 31. Let f(z) be the third derivative of j(z). Differentiate f(y) with respect to y.
-180*y**2
Let j(n) = 0*n**2 + 20 + 2*n - 5 + 0 + n**2. Let c be j(-7). What is the third derivative of 50 - a**2 - 7*a**3 - c - 8*a**3 wrt a?
-90
Let d(n) be the third derivative of 568*n**4/3 - 5699*n**3/6 + 1818*n**2. Find the first derivative of d(q) wrt q.
4544
Let i(d) = -5 - d + 7 + 8. Let h(p) = -2*p + 20. Let c = -166 + 160. Let b(f) = c*h(f) + 11*i(f). What is the first derivative of b(r) wrt r?
1
Let z(a) be the third derivative of a**6/30 - a**5/30 + 57*a**4/4 + 2193*a**3/2 - 2*a**2 - 7429. Differentiate z(b) wrt b.
12*b**2 - 4*b + 342
Let g(s) = -4823*s + 9626. Let h(n) = -28939*n + 57748. Let u(p) = -35*g(p) + 6*h(p). Differentiate u(x) with respect to x.
-4829
Suppose p - 500 = -375. What is the derivative of -92*i - p + 61 + 70 wrt i?
-92
Let n(f) be the first derivative of 1101*f**2/2 + 1354*f + 972. What is the first derivative of n(d) wrt d?
1101
Let c(x) = x**2 + 32*x + 246. Let j be c(-33). What is the second derivative of 21*k**2 + 73*k**2 + 338 - 15*k**2 + j*k - 338 wrt k?
158
Let i(q) be the first derivative of 1/2*q**2 - 91/3*q**3 + 0*q**5 + 1/2*q**4 + 0*q + 85/6*q**6 + 17. What is the third derivative of i(b) wrt b?
5100*b**2 + 12
Suppose 10 = -6*p + 46. Let 